title:
Non-uniform continuity of the flow map for an evolution equation
  modeling shallow water waves of moderate amplitude

abstract:
  We prove that the flow map associated to a model equation for surface waves
of moderate amplitude in shallow water is not uniformly continuous in the
Sobolev space $H^s$ with $s>3/2$. The main idea is to consider two suitable
sequences of smooth initial data whose difference converges to zero in $H^s$,
but such that neither of them is convergent. Our main theorem shows that the
exact solutions corresponding to these sequences of data are uniformly bounded
in $H^s$ on a uniform existence interval, but the difference of the two
solution sequences is bounded away from zero in $H^s$ at any positive time in
this interval. The result is obtained by approximating the solutions
corresponding to these initial data by explicit formulae and by estimating the
approximation error in suitable Sobolev norms.


title:
Energy transport and coherence properties of acoustic phonons generated
  by optical excitation of a quantum dot

abstract:
  The energy transport of acoustic phonons generated by the optical excitation
of a quantum dot as well as the coherence properties of these phonons are
studied theoretically both for the case of a pulsed excitation and for a
continuous wave (cw) excitation switched on instantaneously. For a pulsed
excitation, depending on pulse area and pulse duration, a finite number of
phonon wave packets is emitted, while for the case of a cw excitation a
sequence of wave packets with decreasing amplitude is generated after the
excitation has been switched on. We show that the energy flow associated with
the generated phonons is partly related to coherent phonon oscillations and
partly to incoherent phonon emission. The efficiency of the energy transfer to
the phonons and the details of the energy flow depend strongly and in a
non-monotonic way on the Rabi frequency exhibiting a resonance behavior.
However, in the case of cw excitation it turns out that the total energy
transferred to the phonons is directly linked in a monotonic way to the Rabi
frequency.


title: Phonon Dynamics and Inelastic Neutron Scattering of Sodium Niobate

abstract:
  Sodium niobate (NaNbO3) exhibits most complex sequence of structural phase
transitions in perovskite family and therefore provides as excellent model
system for understanding the mechanism of structural phase transitions. We
report temperature dependence of inelastic neutron scattering measurements of
phonon densities of states in sodium niobate. The measurements are carried out
in various crystallographic phases of this material at various temperatures
from 300 K to 1048 K. The phonon spectra exhibit peaks centered around 19, 37,
51, 70 and 105 meV. Interestingly, the peak around 70 meV shifts significantly
towards lower energy with increasing temperature, while the other peaks do not
exhibit an appreciable change. The phonon spectra at 783 K show prominent
change and become more diffusive as compared to those at 303 K. In order to
better analyze these features, we have performed first principles lattice
dynamics calculations based on the density functional theory. The computed
phonon density of states is found to be in good agreement with the experimental
data. Based on our calculation we are able to assign the characteristic Raman
modes in the antiferroelectric phase to the A1g symmetry, which are due to the
folding of the T (w=95 cm-1) and delta(w=129 cm-1) points of the cubic
Brillouin zone.


title:
Arithmetical pseudo-valuations associated to Dubrovin valuation rings
  and prime divisors of bounded Krull domains

abstract:
  We look at value functions of primes in simple Artinian rings and associate
arithmetical pseudo-valuations to Dubrovin valuation rings which, in the
Noetherian case, are $\mathbb{Z}$-valued. This allows a divisor theory for
bounded Krull domains.


title: Empirical likelihood test in a posteriori change-point nonlinear model

abstract:
  In this paper, in order to test whether changes have occurred in a nonlinear
parametric regression, we propose a nonparametric method based on the empirical
likelihood. Firstly, we test the null hypothesis of no-change against the
alternative of one change in the regression parameters. Under null hypothesis,
the consistency and the convergence rate of the regression parameter estimators
are proved. The asymptotic distribution of the test statistic under the null
hypothesis is obtained, which allows to find the asymptotic critical value. On
the other hand, we prove that the proposed test statistic has the asymptotic
power equal to 1. These theoretical results allows find a simple test
statistic, very useful for applications. The epidemic model, a particular model
with two change-points under the alternative hypothesis, is also studied.
Numerical studies by Monte-Carlo simulations show the performance of the
proposed test statistic, compared to an existing method in literature.


title: Radiative thermal rectification using superconducting materials

abstract:
  Thermal rectification phenomenon is a manifestation of an asymmetry in the
heat flux when the temperature difference between two interacting thermal
reservoirs is reversed. In this letter, we present a far-field radiative
thermal rectifier based on high temperature superconducting materials with a
rectification ratio up to $80%$. This value is among the highest reported in
literature. Two configurations are examined : a superconductor
(Tl$_2$Ba$_2$CaCu$_2$O$_8$) exchanging heat with 1) a black body and 2) another
superconductor, YBa$_2$Cu$_3$O$_7$ in this case. The first configuration shows
a higher maximal rectification ratio. Besides, we show that the two
superconductors rectifier exhibits different rectification regimes depending on
the choice of the reference temperature, i.e the temperature of the thermostat.
Presented results might be useful for energy conversion devices, efficient
cryogenic radiative insulators engineering and thermal logical circuits
development.


title:
Solutions in the scalar-tensor theory with nonminimal derivative
  coupling

abstract:
  We present black hole type solutions in the scalar-tensor theory with
nonminimal derivative coupling to the Einstein tensor. The effects of the
nonminimal derivative coupling appear in the large scales, while the solutions
approach those in the Einstein gravity in the small scales. For the particular
coupling constant tuned to the inverse of the cosmological constant, the scalar
field becomes trivial and the solutions in the Einstein gravity are recovered.
For the other coupling constant, more general solutions can be obtained. If the
two-dimensional maximally symmetric space is a two-sphere, the spacetime
structure approaches anti-de Sitter spacetime in the large scales. On the other
hand, if the two-dimensional space is a two-hyperboloid, the spacetime
approaches de Sitter (AdS) spacetime. If it is a flat space, the cosmological
constant affects only the amplitude of the scalar field. The extension to the
higher-dimensional case is also straightforward. For a certain range of the
negative cosmological constant, thermodynamic properties of a black hole are
very similar to those of the Schwarzschild-AdS black hole in the Einstein
gravity.


title: Braneworlds with field derivative coupling to the Einstein tensor

abstract:
  In this paper, we investigate the Randall-Sundrum type braneworld models in
the scalar-tensor theory with field derivative coupling to the Einstein tensor.
We first formulate the generalized junction conditions of the metric and the
scalar field on the timelike codimension-one hypersurface (=brane). With the
use of these junction conditions, we then derive the Minkowski and de Sitter
brane solutions embedded into the $Z_2$-symmetric five-dimensional anti-de
Sitter (AdS) bulk spacetime. The configuration of the scalar field depends on
the slice of the AdS spacetime. These branes are supported by the tension and
not coupled to the scalar field. The Minkowski brane solution can be obtained
when the brane tension is tuned to the bulk contributions. Once this tuning
relation is broken, the de Sitter brane solutions are obtained. The de Sitter
brane solutions have two branches. One has the smooth limit to the case where
the scalar field becomes trivial, while the other branch does not. The latter
branch has the upper bound on the brane tension, where the expansion rate
vanishes. Finally, we investigate the low energy effective gravitational theory
realized on the brane, which is given by the four-dimensional Einstein-scalar
theory with the corrections from the bulk. In the case that there is no
generation of the dark radiation from the bulk scalar field, we recover the the
four-dimensional Einstein-scalar theory.


title:
Two Loop Neutrino Model and Dark Matter Particles with Global $B-L$
  Symmetry

abstract:
  We study a two loop induced seesaw model with global $U(1)_{B-L}$ symmetry,
in which we consider two component dark matter particles. The dark matter
properties are investigated together with some phenomenological constraints
such as electroweak precision test, neutrino masses and mixing and lepton
flavor violation. In particular, the mixing angle between the Standard Model
like Higgs and an extra Higgs is extremely restricted by the direct detection
experiment of dark matter. We also discuss the contribution of Goldstone boson
to the effective number of neutrino species $\Delta N_{\rm eff}\approx0.39$
which has been reported by several experiments.


title:
Chemical and structural analysis of the Large Magellanic Cloud using the
  fundamental mode RR Lyrae stars

abstract:
  We present a careful and detailed light curve analysis of publicly available
$I$-band data on fundamental mode RR Lyrae (RRab) stars of the Large Magellanic
Cloud (LMC) obtained by the Optical Gravitational Lensing Experiment (OGLE)
phase-III project. Using the Fourier parameters of $13,095$ RRab stars,
metallicities and absolute magnitudes of individual stars are obtained. The
representation of stars on the $P-\phi_{31}^{V}$ plane shows the existence of
three significant metallicity groups with mean metallicities as $-1.20 \pm
0.12$ dex, $-1.57 \pm 0.10$ dex and $-1.89 \pm 0.09$ dex. The corresponding
absolute magnitudes of these three groups are obtained as $0.70\pm 0.08$ mag,
$0.59 \pm 0.06$ mag and $0.49 \pm 0.08$ mag, respectively. Distribution of
these three groups as a function of vertical $|z|$ distance indicates that the
formation of the LMC disk predates the formation of the inner halo. Issue of
the existence of a metallicity gradient as a function of galactocentric
distances has also been addressed.
  Approximating the structure of the LMC disk as a triaxial ellipsoid, the
inclination angle ($i$) relative to the plane of the sky and the position angle
of the line of nodes ($\theta_{lon}$) were estimated as $24^{\circ}.20$ and
$176^{\circ}.01$, respectively. The axes ratios and the eccentricity were also
determined using the principal axes transformation method.


title:
Comparison of BMA and EMOS statistical calibration methods for
  temperature and wind speed ensemble weather prediction

abstract:
  The evolution of the weather can be described by deterministic numerical
weather forecasting models. Multiple runs of these models with different
initial conditions and/or model physics result in forecast ensembles which are
used for estimating the distribution of future atmospheric variables. However,
these ensembles are usually under-dispersive and uncalibrated, so
post-processing is required.
  In the present work we compare different versions of Bayesian Model Averaging
(BMA) and Ensemble Model Output Statistics (EMOS) post-processing methods in
order to calibrate 2m temperature and 10m wind speed forecasts of the
operational ALADIN Limited Area Model Ensemble Prediction System of the
Hungarian Meteorological Service. We show that compared to the raw ensemble
both post-processing methods improve the calibration of probabilistic and
accuracy of point forecasts and that the best BMA method slightly outperforms
the EMOS technique.


title: Growth of Black Holes in the interior of Rotating Neutron Stars

abstract:
  Mini-black holes made of dark matter that can potentially form in the
interior of neutron stars have been always thought to grow by accreting the
matter of the core of the star via a spherical Bondi accretion. However,
neutron stars have sometimes significant angulal velocities that can in
principle stall the spherical accretion and potentially change the conclusions
derived about the time it takes for black holes to destroy a star. We study the
effect of the star rotation on the growth of such black holes and the evolution
of the black hole spin. Assuming no mechanisms of angular momentum evacuation,
we find that even moderate rotation rates can in fact destroy spherical
accretion at the early stages of the black hole growth. However, we demonstrate
that the viscosity of nuclear matter can alleviate the effect of rotation,
making it possible for the black hole to maintain spherical accretion while
impeding the black hole from becoming maximally rotating.


title:
Galactic dynamics in MOND -- Existence of equilibria with finite mass
  and compact support

abstract:
  We consider a self-gravitating collisionless gas where the gravitational
interaction is modeled according to MOND (modified Newtonian dynamics). For the
resulting modified Vlasov-Poisson system we establish the existence of
spherically symmetric equilibria with compact support and finite mass. In the
standard situation where gravity is modeled by Newton's law the latter
properties only hold under suitable restrictions on the prescribed microscopic
equation of state. Under the MOND regime no such restrictions are needed.


title:
Beaconing-Aware Optimal Policies for Two-Hop Routing in Multi-Class
  Delay Tolerant Networks

abstract:
  In Delay Tolerant Networks (DTNs), two-hop routing compromises energy versus
delay more conveniently than epidemic routing. Literature provides
comprehensive results on optimal routing policies for mobile nodes with
homogeneous mobility, often neglecting signaling costs. Routing policies are
customarily computed by means of fluid approximation techniques, which assure
solutions to be optimal only when the number of nodes is infinite, while they
provide a coarse approximation otherwise. This work addresses heterogeneous
mobility patterns and multiple wireless transmission technologies; moreover, we
explicitly consider the beaconing/signaling costs to support routing and the
possibility for nodes to discard packets after a local time. We theoretically
characterize the optimal policies by deriving their formal properties. Such
analysis is leveraged to define two algorithmic approaches which allow to trade
off optimality with computational efficiency. Theoretical bounds on the
approximation guarantees of the proposed algorithms are derived. We then
experimentally evaluated them in realistic scenarios of multi-class DTNs.


title:
Free carrier absorption in cascade structures due to static scatterers
  in the in-plane polarization

abstract:
  We report on the computation of the free carrier absorption induced by static
scatterers in cascade structures when the electromagnetic wave propagates along
the growth axis. We find that a Drude-like tail exists for this polarization.
The absorption is found larger than when the wave propagates in the layer
plane. Also intra-subband scattering is found more efficient than inter-subband
scattering. The alloy scattering is found to be particularly efficient.


title: On the supercritical mean field equation on pierced domains

abstract:
  We consider the problem $$(P_\eps)\qquad
  \Delta u +\lambda {e^{u}\over\int\limits_{\Omega\setminus B(\xi,\eps)}e^u}=0\
\hbox{in}\ \Omega\setminus B(\xi,\eps),\quad u =0\ \hbox{on}\
\partial\(\Omega\setminus B(\xi,\eps)\), $$ where $\Omega$ is a smooth bounded
open domain in $\rr^2$ which contains the point $\xi.$ We prove that if
$\lambda>8\pi,$ problem $(P_\eps)$ has a solutions $u_\eps$ such that
$$u_\eps(x)\to {8\pi+ \lambda\over2} G(x,\xi) \ \hbox{uniformly on compact sets
of $\Omega\setminus\{\xi\}$}$$ as $\eps$ goes to zero. Here $G$ denotes Green's
function of Dirichlet Laplacian in $\Omega.$
  If $\lambda\not\in 8\pi \mathbb N$ we will not make any symmetry assumptions
on $\Omega,$ while if $\lambda \in 8\pi \mathbb N$ we will assume that $\Omega$
is invariant under a rotation through an angle ${8\pi^2\over \la} $ around the
point $\xi.$


title:
Low temperature diffuse neutron scattering and magnetisation in single
  crystal Tb2Ti2O7

abstract:
  We present an interpretation of zero field diffuse neutron scattering and of
high field magnetisation data at very low temperature in the frustrated
pyrochlore system Tb2Ti2O7. This material has antiferromagnetic exchange
interactions and it is expected to have Ising character at low temperature.
Contrary to expectations, it shows no magnetic ordering down to 0.05\,K, being
thus labelled a "spin liquid". However, the ground state in Tb2Ti2O7 is not a
mere fluctuating moment paramagnet but, as demonstrated by very recent
experiments, a state where the electronic degrees of freedom are hybridised
with the phononic variables in an unconventional way. We show here that, by
approximating this complex and still unraveled electron-phonon interaction by a
dynamic Jahn-Teller coupling, one can account rather well for the diffuse
neutron scattering and the low temperature isothermal magnetisation. We discuss
the shortcomings of this picture which arise mainly from the fact that the
singlet electronic mean field ground state of the model fails to reproduce the
observed strong intensity of the elastic and quasi-elastic neutron scattering.


title: Observational Aspects of Symmetries of the Neutral B Meson System

abstract:
  We revisit various results, which have been obtained by the BABAR and Belle
Collaborations over the last twelve years, concerning symmetry properties of
the Hamiltonian, which governs the time evolution and the decay of neutral B
mesons.We find that those measurements, which established CP violation in B
meson decay, 12 years ago, had as well established T (time-reversal) symmetry
violation. They also confirmed CPT symmetry in the decay (T_CPT = 0) and
symmetry with respect to time-reversal (epsilon? = 0) and to CPT (delta? = 0)
in the B0 ?B0bar oscillation.


title:
Distribution of dynamical quantities in the contact process, random
  walks, and quantum spin chains in random environments

abstract:
  We study the distribution of dynamical quantities in various one-dimensional,
disordered models the critical behavior of which is described by an infinite
randomness fixed point. In the {\it disordered contact process}, the quenched
survival probability $\mathcal{P}(t)$ defined in fixed random environments is
found to show multi-scaling in the critical point, meaning that
$\mathcal{P}(t)=t^{-\delta}$, where the (environment and time-dependent)
exponent $\delta$ has a universal limit distribution when $t\to\infty$. The
limit distribution is determined by the strong disorder renormalization group
method analytically in the end point of a semi-infinite lattice, where it is
found to be exponential, while, in the infinite system, conjectures on its
limiting behaviors for small and large $\delta$, which are based on numerical
results, are formulated. By the same method, the quenched survival probability
in the problem of {\it random walks in random environments} is also shown to
exhibit multi-scaling with an exponential limit distribution. In addition to
this, the (imaginary-time) spin-spin autocorrelation function of the {\it
random transverse-field Ising chain} is found to have a form similar to that of
survival probability of the contact process at the level of the renormalization
approach. Consequently, a relationship between the corresponding limit
distributions in the two problems can be established. Finally, the distribution
of the spontaneous magnetization in this model is also discussed.


title:
Analytical expression of geometrical pumping for a quantum dot based on
  quantum master equation

abstract:
  We analytically investigate a non-equilibrium quantum pumping for a single
quantum dot connected to external leads on the basis of the quantum master
equation (QME). We show that the Coulomb interaction associated with the spin
effect in the dot induces the Berry-like phase in the parameter space and this
phase results in the excess charge transfer for the cyclic modulation of
parameters in leads. We obtain an analytical expression of the curvature of the
phase and that for the pumped currents.


title:
Dependence of asymptotic decay exponents on initial condition and the
  resulting scaling violation

abstract:
  There are several examples which show that the critical exponents can be
dependent on initial condition of the system. In such situations, there are
many systems where various issues related to the universal behavior e.g.
existence of universality, splitting of universality class, scaling violation,
whether the initial dependence should persist even after sufficiently long time
or is a transient effect, the reasons for such features, etc. are not yet quite
clear. In this article, with the simple example of conserved lattice gas (CLG)
model, we investigate such issues and clearly show that under certain
situations the asymptotic decay exponents are in fact dependent on the initial
condition of the system. We show that such effect arises because of existence
of two competing time scales, and identify the initial conditions which capture
the universal features of the system.


title: Magneto-elastic Effects in $\text{Tb}_{3}\text{Ga}_{5}\text{O}_{12}$

abstract:
  We report new results for the elastic constants studied in Faraday and
Cotton-Mouton geometry in Tb$_3$Ga$_5$O$_{12}$ (TGG), a frustrated magnetic
substance with strong spin-phonon interaction and remarkable
crystal-electric-field (CEF) effects. We analyze the data in the framework of
CEF theory taking into account the individual surroundings of the six
inequivalent Tb$^{3+}$-ion positions. This theory describes both, elastic
constants in the magnetic field and as a function of temperature. Moreover we
present sound-attenuation data for the acoustic Cotton-Mouton effect in TGG.


title:
Observation of a quantum Cheshire Cat in a matter wave interferometer
  experiment

abstract:
  From its very beginning quantum theory has been revealing extraordinary and
counter-intuitive phenomena, such as wave-particle duality, Schr\"odinger cats
and quantum non-locality. In the study of quantum measurement, a process
involving pre- and postselection of quantum ensembles in combination with a
weak interaction was found to yield unexpected outcomes. This scheme, usually
referred to as "weak measurements", can not only be used as an amplification
technique and for minimal disturbing measurements, but also for the exploration
of quantum paradoxes. Recently the quantum Cheshire Cat has attracted
attention: a quantum system can behave as if a particle and its property (e.g.
its polarization) are spatially separated. Up to now most experiments studying
weak measurements were done with photonic setups. To reveal the peculiarities
of a quantum Cheshire Cat the use of non-zero mass particles is most appealing,
since no classical description is possible. Here, we report an experiment using
a neutron interferometer to create and observe a purely quantum mechanical
Cheshire Cat. The experimental results suggest that the system behaves as if
the neutrons went through one beam path, while their spin travelled along the
other.


title:
Far-infrared electrodynamics of thin superconducting NbN film in
  magnetic field

abstract:
  We studied a thin superconducting NbN film in magnetic fields up to 8 T above
the zero- temperature limit by means of time-domain terahertz and scanning
tunneling spectroscopies in order to understand the vortex response. Scanning
tunneling spectroscopy was used to determine the optical gap and the upper
critical field of the sample. The obtained values were subsequently used to fit
the terahertz complex conductivity spectra in the magnetic field in the Faraday
geometry above the zero temperature limit. These spectra are best described in
terms of the Coffey-Clem self-consistent solution of a modified London equation
in the flux creep regime.


title: Algebraic matroids with graph symmetry

abstract:
  This paper studies the properties of two kinds of matroids: (a) algebraic
matroids and (b) finite and infinite matroids whose ground set have some
canonical symmetry, for example row and column symmetry and transposition
symmetry.
  For (a) algebraic matroids, we expose cryptomorphisms making them accessible
to techniques from commutative algebra. This allows us to introduce for each
circuit in an algebraic matroid an invariant called circuit polynomial,
generalizing the minimal poly- nomial in classical Galois theory, and studying
the matroid structure with multivariate methods.
  For (b) matroids with symmetries we introduce combinatorial invariants
capturing structural properties of the rank function and its limit behavior,
and obtain proofs which are purely combinatorial and do not assume algebraicity
of the matroid; these imply and generalize known results in some specific cases
where the matroid is also algebraic. These results are motivated by, and
readily applicable to framework rigidity, low-rank matrix completion and
determinantal varieties, which lie in the intersection of (a) and (b) where
additional results can be derived. We study the corresponding matroids and
their associated invariants, and for selected cases, we characterize the
matroidal structure and the circuit polynomials completely.


title:
Physical properties of the thermoelectric cubic lanthanum chalcogenides
  La3-yX4 (X=S,Se,Te) from first-principles

abstract:
  We report ab-initio calculations of the stability, lattice dynamics,
electronic and thermoelectric properties of cubic La3-yX4 (X=S,Se,Te) materials
in view of analyzing their potential for thermoelectric applications. The
lanthanum motions are strongly coupled to the tellurium motions in the
telluride, whereas the motions of both types of atoms are decoupled in the
sulfides. Nevertheless, this has no impact on their thermal properties because
experimentally all compounds have low thermal conductivity. We believe that
this is due to Umklapp scattering of the acoustical modes, notably by the low
energy optical modes at about 7-8 meV found in all three chalcogenides, as in
cage compounds such as skutterudites or clathrates, even though there are no
cages in the cubic Th3P4 structure. We find that the energy bandgap increases
from the telluride to the sulfide in good agreement with the experiments.
However, due to their similar band structure, we find that all three compounds
have almost identical thermoelectric properties. Our results agree
qualitatively with the experiments, especially in the case of the telluride for
which a great amount of data exists. All our results indicate that the sulfides
have strong potential for thermoelectricity and could replace the tellurides if
the charge carrier concentration is optimized. Finally, we predict also a
larger maximum ZT for the p-type doped materials than for the n-type doped
ones, even though compounds with p-doping have still to be synthesized. Thus
our results indicate the possibility to make high temperature performing
thermo-generators based only on La3X4 compounds.


title:
On the Complexity of Making a Distinguished Vertex Minimum or Maximum
  Degree by Vertex Deletion

abstract:
  In this paper, we investigate the approximability of two node deletion
problems. Given a vertex weighted graph $G=(V,E)$ and a specified, or
"distinguished" vertex $p \in V$, MDD(min) is the problem of finding a minimum
weight vertex set $S \subseteq V\setminus \{p\}$ such that $p$ becomes the
minimum degree vertex in $G[V \setminus S]$; and MDD(max) is the problem of
finding a minimum weight vertex set $S \subseteq V\setminus \{p\}$ such that
$p$ becomes the maximum degree vertex in $G[V \setminus S]$. These are known
$NP$-complete problems and have been studied from the parameterized complexity
point of view in previous work. Here, we prove that for any $\epsilon > 0$,
both the problems cannot be approximated within a factor $(1 - \epsilon)\log
n$, unless $NP \subseteq DTIME(n^{\log\log n})$. We also show that for any
$\epsilon > 0$, MDD(min) cannot be approximated within a factor $(1
-\epsilon)\log n$ on bipartite graphs, unless $NP \subseteq DTIME(n^{\log\log
n})$, and that for any $\epsilon > 0$, MDD(max) cannot be approximated within a
factor $(1/2 - \epsilon)\log n$ on bipartite graphs, unless $NP \subseteq
DTIME(n^{\log\log n})$. We give an $O(\log n)$ factor approximation algorithm
for MDD(max) on general graphs, provided the degree of $p$ is $O(\log n)$. We
then show that if the degree of $p$ is $n-O(\log n)$, a similar result holds
for MDD(min). We prove that MDD(max) is $APX$-complete on 3-regular unweighted
graphs and provide an approximation algorithm with ratio $1.583$ when $G$ is a
3-regular unweighted graph. In addition, we show that MDD(min) can be solved in
polynomial time when $G$ is a regular graph of constant degree.


title: A fourth extremal even unimodular lattice of dimension 48

abstract:
  We show that there is a unique extremal even unimodular lattice of dimension
48 which has an automorphism of order 5 of type 5-(8,16)-8. Since the three
known extremal lattices do not admit such an automorphism, this provides a new
example of an extremal even unimodular lattice in dimension 48.


title: Remnants, fermions' tunnelling and effects of quantum gravity

abstract:
  The remnants are investigated by fermions' tunnelling from a 4-dimensional
charged dilatonic black hole and a 5-dimensional black string. Based on the
generalized uncertainty principle, effects of quantum gravity are taken into
account. The quantum numbers of the emitted fermions affects the Hawking
temperatures. For the black hole, the quantum gravity correction slows down the
increase of the temperature, which leads to the remnant left in the
evaporation. For the black string, the existence of the remnant is determined
by the quantum gravity correction and effects of the extra compact dimension.


title: Some best approximation formulas and inequalities for Wallis ratio

abstract:
  In the paper, the authors establish some best approximation formulas and
inequalities for Wallis ratio. These formulas and inequalities improve an
approximation formula and a double inequality for Wallis ratio recently
presented in ``S. Guo, J.-G. Xu, and F. Qi, \textit{Some exact constants for
the approximation of the quantity in the Wallis' formula}, J. Inequal. Appl.
2013, \textbf{2013}:67, 7 pages; Available online at
\url{http://dx.doi.org/10.1186/1029-242X-2013-67}''.


title: Thoughts on Barnette's Conjecture

abstract:
  We prove a new sufficient condition for a cubic 3-connected planar graph to
be Hamiltonian. This condition is most easily described as a property of the
dual graph. Let $G$ be a planar triangulation. Then the dual $G^*$ is a cubic
3-connected planar graph, and $G^*$ is bipartite if and only if $G$ is
Eulerian. We prove that if the vertices of $G$ are (improperly) coloured blue
and red, such that the blue vertices cover the faces of $G$, there is no blue
cycle, and every red cycle contains a vertex of degree at most 4, then $G^*$ is
Hamiltonian.
  This result implies the following special case of Barnette's Conjecture: if
$G$ is an Eulerian planar triangulation, whose vertices are properly coloured
blue, red and green, such that every red-green cycle contains a vertex of
degree 4, then $G^*$ is Hamiltonian. Our final result highlights the
limitations of using a proper colouring of $G$ as a starting point for proving
Barnette's Conjecture. We also explain related results on Barnette's Conjecture
that were obtained by Kelmans and for which detailed self-contained proofs have
not been published.


title:
Affine Kac-Moody symmetric spaces associated with untwisted Kac-Moody
  algebras

abstract:
  In this paper we have computed all the affine Kac-Moody symmetric spaces
which are tame Frechet manifolds starting from the Vogan diagrams related to
the affine untwisted Kac-Moody algebras. The detail computation of affine
Kac-Moody symmetric spaces associated with A_1^(1) and A_2^(1) are shown
algebraically to corroborate our method.


title: An allometric scaling relation based on logistic growth of cities

abstract:
  The relationships between urban area and population size have been
empirically demonstrated to follow the scaling law of allometric growth. This
allometric scaling is based on exponential growth of city size and can be
termed "exponential allometry", which is associated with the concepts of
fractals. However, both city population and urban area comply with the course
of logistic growth rather than exponential growth. In this paper, I will
present a new allometric scaling based on logistic growth to solve the
abovementioned problem. The logistic growth is a process of replacement
dynamics. Defining a pair of replacement quotients as new measurements, which
are functions of urban area and population, we can derive an allometric scaling
relation from the logistic processes of urban growth, which can be termed
"logistic allometry". The exponential allometric relation between urban area
and population is the approximate expression of the logistic allometric
equation when the city size is not large enough. The proper range of the
allometric scaling exponent value is reconsidered through the logistic process.
Then, a medium-sized city of Henan Province, China, is employed as an example
to validate the new allometric relation. The logistic allometry is helpful for
further understanding the fractal property and self-organized process of urban
evolution in the right perspective.


title:
Number-resolved master equation approach to quantum transport under the
  self-consistent Born approximation

abstract:
  We construct a particle-number(n)-resolved master equation (ME) approach
under the self-consistent Born approximation (SCBA) for quantum transport
through mesoscopic systems. The formulation is essentially non-Markovian and
incorporates the interlay of the multi-tunneling processes and many-body
correlations. The proposed n-SCBA-ME goes completely beyond the scope of the
Born-Markov master equation, being applicable to transport under small bias
voltage, in non-Markovian regime and with strong Coulomb correlations. For
steady state, it can recover not only the exact result of noninteracting
transport under arbitrary voltages, but also the challenging nonequilibrium
Kondo effect. Moreover, the n-SCBA-ME approach is efficient for the study of
shot noise.We demonstrate the application by a couple of representative
examples, including particularly the nonequilibrium Kondo system.


title:
Analysis and Understanding of Various Models for Efficient
  Representation and Accurate Recognition of Human Faces

abstract:
  In this paper we have tried to compare the various face recognition models
against their classical problems. We look at the methods followed by these
approaches and evaluate to what extent they are able to solve the problems. All
methods proposed have some drawbacks under certain conditions. To overcome
these drawbacks we propose a multi-model approach


title: The simplicity of planar networks

abstract:
  Shortest paths are not always simple. In planar networks, they can be very
different from those with the smallest number of turns - the simplest paths.
The statistical comparison of the lengths of the shortest and simplest paths
provides a non trivial and non local information about the spatial organization
of these graphs. We define the simplicity index as the average ratio of these
lengths and the simplicity profile characterizes the simplicity at different
scales. We measure these metrics on artificial (roads, highways, railways) and
natural networks (leaves, slime mould, insect wings) and show that there are
fundamental differences in the organization of urban and biological systems,
related to their function, navigation or distribution: straight lines are
organized hierarchically in biological cases, and have random lengths and
locations in urban systems. In the case of time evolving networks, the
simplicity is able to reveal important structural changes during their
evolution.


title: Gas storage valuation and hedging. A quantification of the model risk

abstract:
  This paper focuses on the valuation and hedging of gas storage facilities,
using a spot-based valuation framework coupled with a financial hedging
strategy implemented with futures contracts. The first novelty consist in
proposing a model that unifies the dynamics of the futures curve and the spot
price, which accounts for the main stylized facts of the US natural gas market,
such as seasonality and presence of price spikes. The second aspect of the
paper is related to the quantification of model uncertainty related to the spot
dynamics.


title: Sample Complexity of Dictionary Learning and other Matrix Factorizations

abstract:
  Many modern tools in machine learning and signal processing, such as sparse
dictionary learning, principal component analysis (PCA), non-negative matrix
factorization (NMF), $K$-means clustering, etc., rely on the factorization of a
matrix obtained by concatenating high-dimensional vectors from a training
collection. While the idealized task would be to optimize the expected quality
of the factors over the underlying distribution of training vectors, it is
achieved in practice by minimizing an empirical average over the considered
collection. The focus of this paper is to provide sample complexity estimates
to uniformly control how much the empirical average deviates from the expected
cost function. Standard arguments imply that the performance of the empirical
predictor also exhibit such guarantees. The level of genericity of the approach
encompasses several possible constraints on the factors (tensor product
structure, shift-invariance, sparsity \ldots), thus providing a unified
perspective on the sample complexity of several widely used matrix
factorization schemes. The derived generalization bounds behave proportional to
$\sqrt{\log(n)/n}$ w.r.t.\ the number of samples $n$ for the considered matrix
factorization techniques.


title: Micromagnetics of shape anisotropy based permanent magnets

abstract:
  In the search for rare-earth free permanent magnets, various ideas related to
shape anisotropy are being pursued. In this work we assess the limits of shape
contributions to the reversal stability using micromagnetic simulations. In a
first series of tests we altered the aspect ratio of single phase prolate
spheroids from 1 to 16. Starting with a sphere of radius $4.3$ times the
exchange length $ L_{\mathrm{ex}}$ we kept the total magnetic volume constant
as the aspect ratio was modified. For a ferromagnet with zero
magnetocrystalline anisotropy the maximum coercive field reached up to $0.5$
times the magnetization $M_{\mathrm{s}}$. Therefore, in materials with moderate
uniaxial magnetocrystalline anisotropy, the addition of shape anisotropy could
even double the coercive field. Interestingly due to non-uniform magnetization
reversal there is no significant increase of the coercive field for an aspect
ratio greater than 5. A similar limit of the maximum aspect ratio was observed
in cylinders. The coercive field depends on the wire diameter. By decreasing
the wire diameter from $8.7 L_{\mathrm{ex}}$ to $2.2 L_{\mathrm{ex}}$ the
coercive field increased by 40%. In the cylinders nucleation of a reversed
domain starts at the corners at the end. Smoothing the edges can improve the
coercive field by about 10%.
  In further simulations we compacted soft magnetic cylinders into a bulk-like
arrangement. Misalignment and magnetostatic interactions cause a spread of $0.1
M_{\mathrm{s}}$ in the switching fields of the rods. Comparing the volume
averaged hysteresis loops computed for isolated rods and the hysteresis loop
computed for interacting rods, we conclude that magnetostatic interactions
reduce the coercive field by up to 20%.


title:
Long-period intensity pulsations in the solar corona during activity
  cycle 23

abstract:
  We report on the detection (10 \sigma) of 917 events of long-period (3 to 16
hours) intensity pulsations in the 19.5 nm passband of the SOHO Extreme
ultraviolet Imaging Telescope. The data set spans from January 1997 to July
2010, i.e the entire solar cycle 23 and the beginning of cycle 24. The events
can last for up to six days and have relative amplitudes up to 100%. About half
of the events (54%) are found to happen in active regions, and 50% of these
have been visually associated with coronal loops. The remaining 46% are
localized in the quiet Sun. We performed a comprehensive analysis of the
possible instrumental artifacts and we conclude that the observed signal is of
solar origin. We discuss several scenarios which could explain the main
characteristics of the active region events. The long periods and the
amplitudes observed rule out any explanation in terms of magnetohydrodynamic
waves. Thermal nonequilibrium could produce the right periods, but it fails to
explain all the observed properties of coronal loops and the spatial coherence
of the events. We propose that moderate temporal variations of the heating term
in the energy equation, so as to avoid a thermal nonequilibrium state, could be
sufficient to explain those long-period intensity pulsations. The large number
of detections suggests that these pulsations are common in active regions. This
would imply that the measurement of their properties could provide new
constraints on the heating mechanisms of coronal loops.


title: Impurity-vacancy complexes and ferromagnetism in doped sesquioxides

abstract:
  Based on hybrid density-functional calculations, we propose that
ferromagnetism in the prototypical bixbyite sesquioxide In$_2$O$_3$ doped with
Cr is due to Cr-oxygen vacancy complexes, while isolated Cr cannot support
carrier-mediated magnetic coupling. Our proposal is consistent with
experimental facts such as the onset of ferromagnetism in O-lean conditions
only, the low or vanishing net moment in unintentionally doped material, and
its increase upon intentional doping.


title:
Identification de r\^oles communautaires dans des r\'eseaux orient\'es
  appliqu\'ee \`a Twitter

abstract:
  The notion of community structure is particularly useful when analyzing
complex networks, because it provides an intermediate level, compared to the
more classic global (whole network) and local (node neighborhood) approaches.
The concept of community role of a node was derived from this base, in order to
describe the position of a node in a network depending on its connectivity at
the community level. However, the existing approaches are restricted to
undirected networks, use topological measures which do not consider all aspects
of community-related connectivity, and their role identification methods are
not generalizable to all networks. We tackle these limitations by generalizing
and extending the measures, and using an unsupervised approach to determine the
roles. We then illustrate the applicability of our method by analyzing a
Twitter network.We show how our modifications allow discovering the fact some
particular users called social capitalists occupy very specific roles in this
system.
  ---
  La notion de structure de communaut\'es est particuli\`erement utile pour
\'etudier les r\'eseaux complexes, car elle am\`ene un niveau d'analyse
interm\'ediaire, par opposition aux plus classiques niveaux local (voisinage
des noeuds) et global (r\'eseau entier). Le concept de r\^ole communautaire
permet de d\'ecrire le positionnement d'un noeud en fonction de sa
connectivit\'e communautaire. Cependant, les approches existantes sont
restreintes aux r\'eseaux non-orient\'es, utilisent des mesures topologiques ne
consid\'erant pas tous les aspects de la connectivit\'e communautaire, et des
m\'ethodes d'identification des r\^oles non-g\'en\'eralisables \`a tous les
r\'eseaux. Nous proposons de r\'esoudre ces probl\`emes en g\'en\'eralisant les
mesures existantes, et en utilisant une m\'ethode non-supervis\'ee pour
d\'eterminer les r\^oles. Nous illustrons l'int\'er\^et de notre m\'ethode en
l'appliquant au r\'eseau de Twitter. Nous montrons que nos modifications
mettent en \'evidence les r\^oles sp\'ecifiques d'utilisateurs particuliers du
r\'eseau, nomm\'es capitalistes sociaux.


title: Complex hyperbolic free groups with many parabolic elements

abstract:
  We consider in this work representations of the of the fundamental group of
the 3-punctured sphere in ${\rm PU}(2,1)$ such that the boundary loops are
mapped to ${\rm PU}(2,1)$. We provide a system of coordinates on the
corresponding representation variety, and analyse more specifically those
representations corresponding to subgroups of $(3,3,\infty)$-groups. In
particular we prove that it is possible to construct representations of the
free group of rank two $\la a,b\ra$ in ${\rm PU}(2,1)$ for which $a$, $b$,
$ab$, $ab^{-1}$, $ab^2$, $a^2b$ and $[a,b]$ all are mapped to parabolics.


title:
Analysis of the bending behaviour of flax based reinforcements used in
  shape forming

abstract:
  The bending behaviour of woven perform was investigated in order to better
understand the formation of some defects during sheet forming such as wrinkling
and tow buckling. The fabric composition considering hybrid and pure flax
fabrics as well as some test conditions like relative humidity were examined.
On the one hand, the results show a drop of the bending stiffness with flax/PLA
commingled fabric. On the other hand, the study points out that moisture
enhances the bending rigidity especially in the case of pure flax fabric.
However, an excess of humidity, for instance 100% relative humidity, leads to
an opposite effect.


title: Infinite Games Specified by 2-Tape Automata

abstract:
  We prove that the determinacy of Gale-Stewart games whose winning sets are
infinitary rational relations accepted by 2-tape B\"uchi automata is equivalent
to the determinacy of (effective) analytic Gale-Stewart games which is known to
be a large cardinal assumption. Then we prove that winning strategies, when
they exist, can be very complex, i.e. highly non-effective, in these games. We
prove the same results for Gale-Stewart games with winning sets accepted by
real-time 1-counter B\"uchi automata, then extending previous results obtained
about these games. Then we consider the strenghs of determinacy for these
games, and we prove that there is a transfinite sequence of 2-tape B\"uchi
automata (respectively, of real-time 1-counter B\"uchi automata) $A_\alpha$,
indexed by recursive ordinals, such that the games $G(L(A_\alpha))$ have
strictly increasing strenghs of determinacy. Moreover there is a 2-tape B\"uchi
automaton (respectively, a real-time 1-counter B\"uchi automaton) B such that
the determinacy of G(L(B)) is equivalent to the (effective) analytic
determinacy and thus has the maximal strength of determinacy. We show also that
the determinacy of Wadge games between two players in charge of infinitary
rational relations accepted by 2-tape B\"uchi automata is equivalent to the
(effective) analytic determinacy, and thus not provable in ZFC.


title: The periodic decomposition problem

abstract:
  If a function $f:\mathbb{R}\to\mathbb{R}$ can be represented as the sum of
$n$ periodic functions as $f=f_1+\dots+f_n$ with $f(x+\alpha_j)=f(x)$
($j=1,\dots,n$), then it also satisfies a corresponding $n$-order difference
equation $\Delta_{\alpha_1}\dots\Delta_{\alpha_n} f=0$. The periodic
decomposition problem asks for the converse implication, which may hold or fail
depending on the context (on the system of periods, on the function class in
which the problem is considered, etc.). The problem has natural extensions and
ramifications in various directions, and is related to several other problems
in real analysis, Fourier and functional analysis. We give a survey about the
available methods and results, and present a number of intriguing open
problems.


title: Quantum states, symmetry and dynamics in degenerate spin s=1 magnets

abstract:
  The article deals with spin s=1 magnets. The symmetry conditions for normal
and degenerate equilibrium states are defined and types of magnetic ordering
found out. For each type of symmetry breaking the structure of source in the
Gibbs statistical operator has been obtained and additional thermodynamic
parameters introduced. The algebra of Poisson bracket for magnetic degrees of
freedom has been established and nonlinear dynamic equations have been derived.
Using the models of the exchange interaction, we have calculated the spectra of
collective excitations for two degenerate states whose order parameters have
digerent signature under the time reversal transformation.


title: Braided autoequivalences and quantum commutative bi-Galois objects

abstract:
  Let $(H,R)$ be a quasitriangular weak Hopf algebra over a field $k$. We show
that there is a braided monoidal equivalence between the Yetter-Drinfeld module
category $^H_H\mathscr{YD}$ over $H$ and the category of comodules over some
braided Hopf algebra ${}_RH$ in the category $_H\mathscr{M}$. Based on this
equivalence, we prove that every braided bi-Galois object $A$ over the braided
Hopf algebra ${}_RH$ defines a braided autoequivalence of the category
$^H_H\mathscr{YD}$ if and only if $A$ is quantum commutative. In case $H$ is
semisimple over an algebraically closed field, i.e. the fusion case, then every
braided autoequivalence of $^H_H\mathscr{YD}$ trivializable on $_H\mathscr{M}$
is determined by such a quantum commutative Galois object. The quantum
commutative Galois objects in $_H\mathscr{M}$ form a group measuring the Brauer
group of $(H,R)$ as studied in [20] in the Hopf algebra case.


title:
Theoretical study of the isotope effects on the detachment thresholds of
  Si$^-$

abstract:
  The isotope effects in Si$^-$ bound levels are studied using the
multi-configuration Hartree-Fock ab initio approach. Large scale calculations
are carried out for the $3p^3\ ^4S^o,\, ^2D^o$ and $^2P^o$ multiplets of Si$^-$
and the $3p^2\ ^3P$ multiplet of Si. We predict an anomalous isotope shift on
the electron affinity, dominated by the specific mass shift, with a value of
$IS(^e\!\!A)= -0.66(6)$ m$^{-1}$ for the ($30-28$) isotope pair. We also report
hyperfine structure parameters for the studied multiplets. Finally, we provide
the values of level electric field gradients at the nucleus that could be of
interest in a study of the metastable silicon isotopes. Relativistic
corrections are estimated using non-relativistic orbitals in the Breit-Pauli
and fully relativistic frameworks.


title: Multi-channel Kondo impurity dynamics in a Majorana device

abstract:
  We study the multi-channel Kondo impurity dynamics realized in a mesoscopic
superconducting island connected to metallic leads. The effective 'impurity
spin' is non-locally realized by Majorana bound states and strongly coupled to
lead electrons by non-Fermi liquid correlations. We explore the spin dynamics
and its observable ramifications near the low-temperature fixed point. The
topological protection of the system raises the perspective to observe
multi-channel Kondo impurity dynamics in experimentally realistic environments.


title: Diffraction measurements at the LHC

abstract:
  Proton-proton collisions at the LHC can be classified as elastic,
non-diffractive, and diffractive. In this paper we discuss various measurements
of these above processes at various LHC experiments. We report about the total
proton-proton cross-section measurements, about the analysis of diffractive
events and also about the pseudorapidity distribution in inelastic events.


title:
Algebraic and topological properties of an amalgamated algebra along an
  ideal

abstract:
  Let $f:A \rightarrow B$ be a ring homomorphism and let $J$ be an ideal of
$B$. In this paper, we study the amalgamation of $A$ with $B$ along $J$ with
respect to $f$, a construction that provides a general frame for studying the
amalgamated duplication of a ring along an ideal, introduced by D'Anna and
Fontana in 2007, and other classical constructions (such as the $A+ XB[X]$, the
$A+ XB[\![X]\!]$ and the $D+M$ constructions). In particular, we completely
describe the prime spectrum of the amalgamation and, when it is a local
Noetherian ring, we study its embedding dimension and when it turns to be a
Cohen-Macaulay ring or a Gorenstein ring.


title: Supporting GENP with Random Multipliers

abstract:
  We prove that standard Gaussian random multipliers are expected to stabilize
numerically both Gaussian elimination with no pivoting and block Gaussian
elimination. Our tests show similar results where we applied circulant random
multipliers instead of Gaussian ones.


title:
Long-range correlation energy calculated from coupled atomic response
  functions

abstract:
  An accurate determination of the electron correlation energy is essential for
describing the structure, stability, and function in a wide variety of systems,
ranging from gas-phase molecular assemblies to condensed matter and
organic/inorganic interfaces. Even small errors in the correlation energy can
have a large impact on the description of chemical and physical properties in
the systems of interest. In this context, the development of efficient
approaches for the accurate calculation of the long-range correlation energy
(and hence dispersion) is the main challenge. In the last years a number of
methods have been developed to augment density functional approximations via
dispersion energy corrections, but most of these approaches ignore the
intrinsic many-body nature of correlation effects, leading to inconsistent and
sometimes even qualitatively incorrect predictions. Here we build upon the
recent many-body dispersion (MBD) framework, which is intimately linked to the
random-phase approximation for the correlation energy. We separate the
correlation energy into short-range contributions that are modeled by
semi-local functionals and long-range contributions that are calculated by
mapping the complex all-electron problem onto a set of atomic response
functions coupled in the dipole approximation. We propose an effective
range-separation of the coupling between the atomic response functions that
extends the already broad applicability of the MBD method to non-metallic
materials with highly anisotropic responses, such as layered nanostructures.
Application to a variety of high-quality benchmark datasets illustrates the
accuracy and applicability of the improved MBD approach, which offers the
prospect of first-principles modeling of large structurally complex systems
with an accurate description of the long-range correlation energy.


title: Phosphorus in the Young Supernova Remnant Cassiopeia A

abstract:
  Phosphorus ($^{31}$P), which is essential for life, is thought to be
synthesized in massive stars and dispersed into interstellar space when these
stars explode as supernovae (SNe). Here we report on near-infrared
spectroscopic observations of the young SN remnant Cassiopeia A, which show
that the abundance ratio of phosphorus to the major nucleosynthetic product
iron ($^{56}$Fe) in SN material is up to 100 times the average ratio of the
Milky Way, confirming that phosphorus is produced in SNe. The observed range is
compatible with predictions from SN nucleosynthetic models but not with the
scenario in which the chemical elements in the inner SN layers are completely
mixed by hydrodynamic instabilities during the explosion.


title:
Information Maps: A Practical Approach to Position Dependent
  Parameterization

abstract:
  In this contribution a practical approach to determine and store position
dependent parameters is presented. These parameters can be obtained, among
others, using experimental results or expert knowledge and are stored in
'Information Maps'. Each Information Map can be interpreted as a kind of static
grid map and the framework allows to link different maps hierarchically. The
Information Maps can be local or global, with static and dynamic information in
it. One application of Information Maps is the representation of position
dependent characteristics of a sensor. Thus, for instance, it is feasible to
store arbitrary attributes of a sensor's preprocessing in an Information Map
and utilize them by simply taking the map value at the current position. This
procedure is much more efficient than using the attributes of the sensor
itself. Some examples where and how Information Maps can be used are presented
in this publication. The Information Map is meant to be a simple and practical
approach to the problem of position dependent parameterization in all kind of
algorithms when the analytical description is not possible or can not be
implemented efficiently.


title:
Low-energy electronic properties of clean CaRuO$_3$: elusive Landau
  quasiparticles

abstract:
  We have prepared high-quality epitaxial thin films of CaRuO$_3$ with residual
resistivity ratios up to 55. Shubnikov-de Haas oscillations in the
magnetoresistance and a $T^2$ temperature dependence in the electrical
resistivity only below 1.5 K, whose coefficient is substantially suppressed in
large magnetic fields, establish CaRuO$_3$ as a Fermi liquid (FL) with
anomalously low coherence scale. Non-Fermi liquid (NFL) $T^{3/2}$ dependence is
found between 2 and 25 K. The high sample quality allows access to the
intrinsic electronic properties via THz spectroscopy. For frequencies below 0.6
THz, the conductivity is Drude-like and can be modeled by FL concepts, while
for higher frequencies non-Drude behavior, inconsistent with FL predictions, is
found. This establishes CaRuO$_3$ as a prime example of optical NFL behavior in
the THz range.


title: Possible chromospheric activity cycles in AD Leo

abstract:
  AD Leo (GJ 388) is an active dM3 flare star extensively observed both in the
quiescent and flaring states. Since this active star is near the
fully-convective boundary, to study in detail its long-term chromospheric
activity could be an appreciable contribution for the dynamo theory. Here, we
analyze with the Lomb-Scargle periodogram the Ca II K line-core fluxes derived
from CASLEO spectra obtained between 2001 and 2013 and the V magnitude from the
ASAS database between 2004 and 2010. From both totally independent time-series,
we obtain a possible activity cycle of period $\sim7$ years and a
less-significant shorter one of $\sim2$ years. A tentative interpretation is
that a dynamo operating near the surface could be generating the longer cycle,
while a second dynamo operating in the deep convection zone could be
responsible for the shorter one. Based on the long duration of our observing
program at CASLEO and the fact that we observe simultaneously different
spectral features, we also analyze the relation between simultaneous
measurements of the Na I index ($R^{\prime}_D$), H$\alpha$ and Ca II K fluxes
at different activity levels of AD Leo, including flares.


title:
Efficient Baseline-free Sampling in Parameter Exploring Policy
  Gradients: Super Symmetric PGPE

abstract:
  Policy Gradient methods that explore directly in parameter space are among
the most effective and robust direct policy search methods and have drawn a lot
of attention lately. The basic method from this field, Policy Gradients with
Parameter-based Exploration, uses two samples that are symmetric around the
current hypothesis to circumvent misleading reward in \emph{asymmetrical}
reward distributed problems gathered with the usual baseline approach. The
exploration parameters are still updated by a baseline approach - leaving the
exploration prone to asymmetric reward distributions. In this paper we will
show how the exploration parameters can be sampled quasi symmetric despite
having limited instead of free parameters for exploration. We give a
transformation approximation to get quasi symmetric samples with respect to the
exploration without changing the overall sampling distribution. Finally we will
demonstrate that sampling symmetrically also for the exploration parameters is
superior in needs of samples and robustness than the original sampling
approach.


title: Adelic openness without the Mumford-Tate conjecture

abstract:
  Let $X$ be a non-singular projective variety over a number field $K$, $i$ a
non-negative integer, and $V_{\A}$, the etale cohomology of $\bar X$ with
coefficients in the ring of finite adeles $\A_f$ over $\Q$. Assuming the
Mumford-Tate conjecture, we formulate a conjecture (Conjecture 1.2) describing
the largeness of the image of the absolute Galois group $G_K$ in $H(\A_f)$
under the adelic Galois representation $\rho_{\A}: G_K ->
\Aut(V_{\A})=\GL_n(\A_f)$, where $H$ is the Hodge group. The motivating example
is a celebrated theorem of Serre, which asserts that if $X$ is an elliptic
curve without complex multiplication over $\bar K$ and $i=1$, then
$\rho_{\A}(G_K)$ is an open subgroup of $\GL_2(\hat \Z)\subset \GL_2(\A_f)$. We
state and in some cases prove a weaker conjecture which does not require
Mumford-Tate but which, together with Mumford-Tate, implies Conjecture 1.2. We
also relate our conjectures to Serre's conjectures on maximal motives.


title:
Screening and atomic-scale engineering of the potential at a topological
  insulator surface

abstract:
  The electrostatic behavior of a prototypical three-dimensional topological
insulator Bi$_2$Se$_3$(111) is investigated by a scanning tunneling microscopy
(STM) study of the distribution of Rb atoms adsorbed on the surface. The
positively charged ions are screened by both free electrons residing in the
topological surface state as well as band bending induced quantum well states
of the conduction band, leading to a surprisingly short screening length.
Combining a theoretical description of the potential energy with STM-based
atomic manipulation, we demonstrate the ability to create tailored electronic
potential landscapes on topological surfaces with atomic-scale control.


title: Weak percolation on multiplex networks

abstract:
  Bootstrap percolation is a simple but non-trivial model. It has applications
in many areas of science and has been explored on random networks for several
decades. In single layer (simplex) networks, it has been recently observed that
bootstrap percolation, which is defined as an incremental process, can be seen
as the opposite of pruning percolation, where nodes are removed according to a
connectivity rule. Here we propose models of both bootstrap and pruning
percolation for multiplex networks. We collectively refer to these two models
with the concept of "weak" percolation, to distinguish them from the somewhat
classical concept of ordinary ("strong") percolation. While the two models
coincide in simplex networks, we show that they decouple when considering
multiplexes, giving rise to a wealth of critical phenomena. Our bootstrap model
constitutes the simplest example of a contagion process on a multiplex network
and has potential applications in critical infrastructure recovery and
information security. Moreover, we show that our pruning percolation model may
provide a way to diagnose missing layers in a multiplex network. Finally, our
analytical approach allows us to calculate critical behavior and characterize
critical clusters.

categories: cond-mat.dis-nn cs.CR math.PR physics.soc-ph


title: Vector meson quasinormal modes in a finite-temperature AdS/QCD model

abstract:
  We study the spectrum of vector mesons in a finite temperature plasma. The
plasma is holographically described by a black hole AdS/QCD model. We compute
the boundary retarded Green's function using AdS/CFT prescriptions. The
corresponding thermal spectral functions show quasiparticle peaks at low
temperatures. Then we calculate the quasinormal modes of vector mesons in the
soft-wall black hole geometry and analyse their temperature and momentum
dependences.


title: On Vortex Solutions of Landau-Lifshitz Equations

abstract:
  We study the Landau-Lifshitz equation of ferromagnetism on $\mathbb{R}^2$
with an easy-axis anisotropy. We give the necessary condition for the existence
of the finite energy vortex solutions and show the behaviors of the solutions.


title: Fast Radial Flows in Transition Disk Holes

abstract:
  Protoplanetary "transition" disks have large, mass-depleted central cavities,
yet also deliver gas onto their host stars at rates comparable to disks without
holes. The paradox of simultaneous transparency and accretion can be explained
if gas flows inward at much higher radial speeds inside the cavity than outside
the cavity, since surface density (and by extension optical depth) varies
inversely with inflow velocity at fixed accretion rate. Radial speeds within
the cavity might even have to approach free-fall values to explain the huge
surface density contrasts inferred for transition disks. We identify
observational diagnostics of fast radial inflow in channel maps made in
optically thick spectral lines. Signatures include (1) twisted isophotes in
maps made at low systemic velocities and (2) rotation of structures observed
between maps made in high-velocity line wings. As a test case, we apply our new
diagnostic tools to archival ALMA data on the transition disk HD 142527, and
uncover evidence for free-fall radial velocities inside its cavity. Although
the observed kinematics are also consistent with a disk warp, the radial inflow
scenario is preferred because it predicts low surface densities that appear
consistent with recent observations of optically thin CO isotopologues in this
disk. How material in the disk cavity sheds its angular momentum wholesale to
fall freely onto the star is an unsolved problem; gravitational torques exerted
by giant planets or brown dwarfs are briefly discussed as a candidate
mechanism.


title: Yang-Mills Thermodynamics: an Effective Theory Approach

abstract:
  We derive the Polyakov-loop thermodynamic potential in the perturbative
approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of
the Polyakov loop in the fundamental representation corresponds to that of the
strong-coupling expansion, of which the relevant coefficients of the gluon
energy distribution are specified by characters of the SU(3) group. At high
temperatures the derived gluon potential exhibits the correct asymptotic
behavior, whereas at low temperatures, it disfavors gluons as appropriate
dynamical degrees of freedom. In order to quantify the Yang-Mills
thermodynamics in a confined phase, we propose a hybrid approach which matches
the effective gluon potential to the one of glueballs constrained by the QCD
trace anomaly in terms of a dilaton. We also discuss the interplay between the
chromomagnetic and chromoelectric gluon dynamics.


title: Baker-Type Estimates for Linear Forms in the Values of q-series

abstract:
  A Baker-type linear independece measure is obtained for the values of
generalized Heine series at non-zero points of an imaginary quadratic number
field. This kind of estimate depends on the individual coefficients of the
linear form, not only on the maximum of their absolute values.


title:
Production and ratio of $\pi$, K, p and $\Lambda$ in Pb + Pb collisions
  at $\sqrt{s_{NN}}$ = 2.76 TeV

abstract:
  The particle production and their ratios for $\pi$, $K$, $p$, and $\Lambda$
are studied in Pb + Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV based on a
blast-wave model with thermal equilibrium mechanism. The transverse momentum
spectra of the above mentioned particles at the kinetic freeze-out stage are
discussed. The modification of the inverse slope of pion transverse momentum
spectrum due to resonance decay has also been investigated. In addition, we
found that the anti-particles to particles ratio as well as kaons to pions
ratio agree with the data by the LHC-ALICE Collaboration reasonably well, while
the $p/\pi$ ratio is overestimated by a factor of 1.5, similar to those from
other thermal model calculations. It is found that the ratios of $p/\pi$ and
$K/\pi$ are dominated by the radial flow but slightly affected by the baryon
chemical potential. Our study thus constrains the parameters at the chemical
and kinetic freeze-out stages within the framework of thermal model in Pb + Pb
collisions at $\sqrt{s_{NN}}$ = 2.76 TeV, and will help better understand the
properties of the dense and hot matter created in high-energy heavy-ion
collisions at freeze-out stage.


title:
Finding an Amplitude Model for $D^0 \to \pi^- \pi^+ \pi^+ \pi^-$ using
  CLEO-c Data

abstract:
  Amplitude analyses of four body $D$ decays are of significant interest for
multiple reasons, including their potential contribution to CP violation
studies in both $B$ and $D$ decays. The resonant substructure of a four body
decay has many possible components and combinations. Here, a genetic algorithm
for the optimisation of such amplitude models is described. The application to
an amplitude analysis of the decay mode $D^0 \to \pi^- \pi^+ \pi^+ \pi^-$ using
CLEO-c data is discussed and the performance of the algorithm is verified on
simulated data, showing convergence to the original model.


title: Quantum Achievability Proof via Collision Relative Entropy

abstract:
  In this paper, we provide a simple framework for deriving one-shot achievable
bounds for some problems in quantum information theory. Our framework is based
on the joint convexity of the exponential of the collision relative entropy,
and is a (partial) quantum generalization of the technique of Yassaee et al.
(2013) from classical information theory. Based on this framework, we derive
one-shot achievable bounds for the problems of communication over
classical-quantum channels, quantum hypothesis testing, and classical data
compression with quantum side information. We argue that our one-shot
achievable bounds are strong enough to give the asymptotic achievable rates of
these problems even up to the second order.


title: Network error correction with limited feedback capacity

abstract:
  We consider the problem of characterizing network capacity in the presence of
adversarial errors on network links,focusing in particular on the effect of
low-capacity feedback links cross network cuts.


title: An introduction to spinors

abstract:
  We introduce spinors, at a level appropriate for an undergraduate or first
year graduate course on relativity, astrophysics or particle physics. The
treatment assumes very little mathematical knowledge (mainly just vector
analysis and some idea of what a group is). The SU(2)--SO(3) homomorphism is
presented in detail. Lorentz transformation, chirality, and the spinor
Minkowski metric are introduced. Applications to electromagnetism, parity
violation, and to Dirac spinors are presented. A classical form of the Dirac
equation is obtained, and the (quantum) prediction that $g=2$ for Dirac
particles is presented.


title: Parkinson's Disease Motor Symptoms in Machine Learning: A Review

abstract:
  This paper reviews related work and state-of-the-art publications for
recognizing motor symptoms of Parkinson's Disease (PD). It presents research
efforts that were undertaken to inform on how well traditional machine learning
algorithms can handle this task. In particular, four PD related motor symptoms
are highlighted (i.e. tremor, bradykinesia, freezing of gait and dyskinesia)
and their details summarized. Thus the primary objective of this research is to
provide a literary foundation for development and improvement of algorithms for
detecting PD related motor symptoms.


title: Firm competition in a probabilistic framework of consumer choice

abstract:
  We develop a probabilistic consumer choice framework based on information
asymmetry between consumers and firms. This framework makes it possible to
study market competition of several firms by both quality and price of their
products. We find Nash market equilibria and other optimal strategies in
various situations ranging from competition of two identical firms to firms of
different sizes and firms which improve their efficiency.


title: Agmon-Kolmogorov inequalities on $\ell^2(\Bbb Z^d)$

abstract:
  Landau-Kolmogorov inequalities have been extensively studied on both
continuous and discrete domains for an entire century. However, the research is
limited to the study of functions and sequences on $\Bbb R$ and $\Bbb Z$, with
no equivalent inequalities in higher-dimensional spaces. The aim of this paper
is to obtain a new class of discrete Landau-Kolmogorov type inequalities of
arbitrary dimension: $$ \|\varphi\|_{\ell^\infty(\Bbb Z^d)} \leq
\mu_{p,d}\|\nabla_D\varphi\|^{p/2^d}_{\ell^2(\Bbb Z^d)}\,
\|\varphi\|^{1-p/2^d}_{\ell^2(\Bbb Z^d)}, % $$ where the constant $\mu_{p,d}$
is explicitly specified. In fact, this also generalises the discrete Agmon
inequality to higher dimension, which in the corresponding continuous case is
not possible.


title: Ambitwistor strings and the scattering equations at one loop

abstract:
  Ambitwistor strings are chiral, infinite tension analogues of conventional
string theory whose target space is the space of complex null geodesics and
whose spectrum consists exclusively of massless states. At genus zero, these
strings underpin the Cachazo-He-Yuan formulae for tree level scattering of
gravitons, gluons and scalars. In this paper we extend these formulae in a
number of directions. Firstly, we consider Ramond sector vertex operators and
construct simple amplitudes involving space-time fermions. These agree with
tree amplitudes in ten dimensional supergravity and super Yang--Mills. We then
show that, after the usual GSO projections, the ambitwistor string partition
function is modular invariant. We consider the scattering equations at genus
one, and calculate one loop scattering amplitudes for NS-NS external states in
the Type II ambitwistor string. We conjecture that these give new
representations of (the integrand of) one loop supergravity amplitudes and we
show that they have the expected behaviour under factorization of the
worldsheet in both non--separating and separating degenerations.


title: Metrics for generalized persistence modules

abstract:
  We consider the question of defining interleaving metrics on generalized
persistence modules over arbitrary preordered sets. Our constructions are
functorial, which implies a form of stability for these metrics. We describe a
large class of examples, inverse-image persistence modules, which occur
whenever a topological space is mapped to a metric space. Several standard
theories of persistence and their stability can be described in this framework.
This includes the classical case of sublevelset persistent homology. We
introduce a distinction between `soft' and `hard' stability theorems. While our
treatment is direct and elementary, the approach can be explained abstractly in
terms of monoidal functors.


title: Higgs Pair Production: Improved Description by Matrix Element Matching

abstract:
  Higgs pair production is crucial for measuring the Higgs boson self-coupling.
The dominant channel at hadron colliders is gluon fusion via heavy-quark loops.
We present the results of a fully exclusive simulation of gluon fusion Higgs
pair production based on the matrix elements for hh + 0, 1 partons including
full heavy-quark loop dependence, matched to a parton shower. We examine and
validate this new description by comparing it with (a) Higgs Effective Theory
predictions, (b) exact hh + 0-parton sample showered by pythia, and (c) exact
hh+1-parton distributions, by looking at the most relevant kinematic
distributions, such as PTh, PThh, Mhh spectra, and jet rate as well. We find
that matched samples provide an state-of-the-art accurate exclusive description
of the final state. The relevant LHE files for Higgs pair productions at the
LHC can be accessed via http://hepfarm02.phy.pku.edu.cn/foswiki/CMS/HH, which
can be used for relevant experimental analysis.


title:
Non-normalizable densities in strong anomalous diffusion: beyond the
  central limit theorem

abstract:
  Strong anomalous diffusion, where $\langle |x(t)|^q \rangle \sim t^{q
\nu(q)}$ with a nonlinear spectrum $\nu(q) \neq \mbox{const}$, is wide spread
and has been found in various nonlinear dynamical systems and experiments on
active transport in living cells. Using a stochastic approach we show how this
phenomena is related to infinite covariant densities, i.e., the asymptotic
states of these systems are described by non-normalizable distribution
functions. Our work shows that the concept of infinite covariant densities
plays an important role in the statistical description of open systems
exhibiting multi-fractal anomalous diffusion, as it is complementary to the
central limit theorem.


title: Narrowband Photon Pair Source for Quantum Networks

abstract:
  We demonstrate a compact photon pair source based on a periodically poled
lithium niobate nonlinear crystal in a cavity. The cavity parameters are chosen
such that the emitted photon pair modes can be matched in the region of telecom
ultra dense wavelength division multiplexing (U-DWDM) channel spacings. This
approach provides efficient, low-loss, mode selection that is compatible with
standard telecommunication networks. Photons with a coherence time of 8.6 ns
(116 MHz) are produced and their purity is demonstrated. A source brightness of
134 pairs(s.mW.MHz)$^{-1}$ is reported. The high level of purity and
compatibility with standard telecom networks is of great importance for complex
quantum communication networks.


title: Energy transport via multiphonon processes in graphene

abstract:
  The Dirac dispersion of graphene limits the phase space available for energy
transport between electrons and acoustic phonons at temperatures above the
Bloch-Grueneisen temperature. Consequently, energy transport can be dominated
by supercollision events, involving also other scattering processes. Scattering
from flexural phonons can compensate for the large momentum transfer involved
in scattering from thermal acoustic phonons, and enables similar supercollision
events as disorder. Such multiphonon processes are also allowed by selection
rules. I show that acoustic-flexural process can in the energy transport be of
the same order of magnitude as direct flexural and acoustic phonon processes,
depending on electronic screening and mechanical strain.


title: Degenerations of real irrational toric varieties

abstract:
  An irrational toric variety X is an analytic subset of the simplex associated
to a finite configuration of real vectors. The positive torus acts on X by
translation, and we consider limits of sequences of these translations. Our
main result identifies all possible Hausdorff limits of translations of X as
toric degenerations using elementary methods and the geometry of the secondary
fan of the vector configuration. This generalizes work of Garcia-Puente et al.,
who used algebraic geometry and work of Kapranov, Sturmfels, and Zelevinsky,
when the vectors were integral.


title: Combining optical spectroscopy and interferometry

abstract:
  Modern optical spectrographs and optical interferometers push the limits in
the spectral and spatial regime, providing important new tools for the
exploration of the universe. In this contribution I outline the complementary
nature of spectroscopic & interferometric observations and discuss different
strategies for combining such data. Most remarkable, the latest generation of
"spectro-interferometric" instruments combine the milliarcsecond angular
resolution achievable with interferometry with spectral capabilities, enabling
direct constraints on the distribution, density, kinematics, and ionization
structure of the gas component in protoplanetary disks. I will present some
selected studies from the field of star- & planet formation and hot star
research in order to illustrate these fundamentally new observational
opportunities.


title:
Multiple-choice Vector Bin Packing: Arc-flow Formulation with Graph
  Compression

abstract:
  The vector bin packing problem (VBP) is a generalization of bin packing with
multiple constraints. In this problem we are required to pack items,
represented by p-dimensional vectors, into as few bins as possible. The
multiple-choice vector bin packing (MVBP) is a variant of the VBP in which bins
have several types and items have several incarnations. We present an exact
method, based on an arc-flow formulation with graph compression, for solving
MVBP by simply representing all the patterns in a very compact graph. As a
proof of concept we report computational results on a variable-sized bin
packing data set.


title: Tables of parameters of symmetric configurations $v_{k}$

abstract:
  Tables of the currently known parameters of symmetric configurations are
given. Formulas for parameters of the known infinite families of symmetric
configurations are presented as well. The results of the recent paper [18] are
used. This work can be viewed as an appendix to [18], in the sense that the
tables given here cover a much larger set of parameters.


title: Invited review: Epidemics on social networks

abstract:
  Since its first formulations almost a century ago, mathematical models for
disease spreading contributed to understand, evaluate and control the epidemic
processes.They promoted a dramatic change in how epidemiologists thought of the
propagation of infectious diseases.In the last decade, when the traditional
epidemiological models seemed to be exhausted, new types of models were
developed.These new models incorporated concepts from graph theory to describe
and model the underlying social structure.Many of these works merely produced a
more detailed extension of the previous results, but some others triggered a
completely new paradigm in the mathematical study of epidemic processes. In
this review, we will introduce the basic concepts of epidemiology, epidemic
modeling and networks, to finally provide a brief description of the most
relevant results in the field.


title: On the antiderivative of inverse functions

abstract:
  One of the basics of calculus is the following proposition: If $F$ and $G$
are antiderivatives of two real functions $f$ and $g$ resp., then an
antiderivative of $\lambda f+g$ is $\lambda F + G$. It may be surprising that
such systematic an integration formula exists for the inverse of a function
$f$, a fact that seems to have been discovered for the first time by Laisant in
1905, and seems not to be well known. More precisely, if $f$ is an invertible
real function, and if $F$ is an antiderivative of $f$, then the antiderivative
of $f^{-1}$ is $xf^{-1}(x)-F\circ f^{-1}(x)+C$. Laisant, and other authors
after him, assumes that $f^{-1}$ is differentiable, in which case the proof of
this formula is immediate. Recently, it has been shown by Key that this
additional assumption is unnecessary. In this paper, we give two different
proofs of this result. The first proof, of geometrical spirit, relies to
Fubini's theorem, while the second proof, purely analytic, is based on the
Stieltjes integral.


title: Heater self-calibration technique for shape prediction of fiber tapers

abstract:
  In the production of tapered optical fibers, it is important to control the
fiber shape according to application-dependent requirements and to ensure
adiabatic tapers. Especially in the transition regions, the fiber shape depends
on the heater properties. The axial viscosity profile of the fiber within the
heater can, however, be hard to access and is therefore often approximated by
assuming a uniform temperature distribution. We present a method for easy
experimental calibration of the viscosity profile within the heater. This
allows the determination of the resultant fiber shape for arbitrary pulling
procedures, using only an additional camera and the fiber drawing setup itself.
We find very good agreement between the modeled and measured fiber shape.


title: Corestricted Free Products of Profinite Groups

abstract:
  We introduce the notion of corestricted free products of a family of
profinite groups indexed over an arbitrary profinite space. Using arithmetic
results of the second author, this enables us to prove an analogue of Riemann's
existence theorem for the decomposition groups of certain infinite sets of
primes of a number field.


title:
Jittery velocity relaxation of an elastic sphere immersed in a viscous
  incompressible fluid

abstract:
  Velocity relaxation of an elastic sphere immersed in a viscous incompressible
fluid is studied on the basis of the equations of linear elasticity and the
linearized Navier-Stokes equations. It is found that both translational motion
after a sudden impulse and rotational motion after a sudden twist show jittery
behavior in the long-time regime, with many reversals of velocity if the sphere
is sufficiently flexible. In the extreme long-time regime the translational and
rotational velocity relaxation functions each decay with a universal algebraic
long-time tail. The added mass and the added moment of inertia of the sphere
are found to vanish.


title: On the boundedness of solutions of SPDEs

abstract:
  In this paper estimates for the uniform norm of solutions of parabolic SPDEs
are derived. The result is obtained through iteration techniques, motivated by
the work of Moser in deterministic settings.
  As an application of the main result, solvability of a class of semilinear
SPDEs is derived.


title:
Accurate determination of the interaction between $\Lambda$ hyperons and
  nucleons from auxiliary field diffusion Monte Carlo calculations

abstract:
  An accurate assessment of the hyperon-nucleon interaction is of great
interest in view of recent observations of very massive neutron stars. The
challenge is to build a realistic interaction that can be used over a wide
range of masses and in infinite matter starting from the available experimental
data on the binding energy of light hypernuclei. To this end, accurate
calculations of the hyperon binding energy in a hypernucleus are necessary. We
present a quantum Monte Carlo study of $\Lambda$ and $\Lambda\Lambda$
hypernuclei up to $A=91$. We investigate the contribution of two- and
three-body $\Lambda$-nucleon forces to the $\Lambda$ binding energy. Ground
state energies are computed solving the Schr\"odinger equation for
non-relativistic baryons by means of the auxiliary field diffusion Monte Carlo
algorithm extended to the hypernuclear sector. We show that a simple adjustment
of the parameters of the $\Lambda NN$ three-body force yields a very good
agreement with available experimental data over a wide range of hypernuclear
masses. In some cases no experiments have been performed yet, and we give new
predictions. The newly fitted $\Lambda NN$ force properly describes the physics
of medium-heavy $\Lambda$ hypernuclei, correctly reproducing the saturation
property of the hyperon separation energy.


title: Sources of Pressure in Titan's Plasma Environment

abstract:
  In order to analyze varying plasma conditions upstream of Titan, we have
combined a physical model of Saturn's plasmadisk with a geometrical model of
the oscillating current sheet. During modeled oscillation phases where Titan is
furthest from the current sheet, the main sources of plasma pressure in the
near-Titan space are the magnetic pressure and, for disturbed conditions, the
hot plasma pressure. When Titan is at the center of the sheet, the main source
is the dynamic pressure associated with Saturn's cold, subcorotating plasma.
Total pressure at Titan (dynamic plus thermal plus magnetic) typically
increases by a factor of five as the current sheet center is approached. The
predicted incident plasma flow direction deviates from the orbital plane of
Titan by < 10 deg. These results suggest a correlation between the location of
magnetic pressure maxima and the oscillation phase of the plasmasheet.


title: An alternative approach to equivariant stable homotopy theory

abstract:
  Building on the work of Martin Stolz, we develop the basics of equivariant
stable homotopy theory starting from the simple idea that a G- spectrum should
just be a spectrum with an action of G on it, in contrast to the usual approach
in which the definition of a G-spectrum depends on a choice of universe.


title: Cloud Service-Aware Location Update in Mobile Cloud Computing

abstract:
  Mobile devices are becoming the primary platforms for many users who always
roam around when accessing the cloud computing services. From this, the cloud
computing is integrated into the mobile environment by introducing a new
paradigm, mobile cloud computing. In the context of mobile computing, the
battery life of mobile device is limited, and it is important to balance the
mobility performance and energy consumption. Fortunately, cloud services
provide both opportunities and challenges for mobility management. Taking the
activities of cloud services accessing into consideration, we propose a
service-aware location update mechanism, which can detect the presence and
location of the mobile device without traditional periodic registration update.
Analytic model and simulation are developed to investigate the new mechanism.
The results demonstrate that the service-aware location update management can
reduce the location update times and handoff signaling, which can efficiently
save power consumption for mobile devices.


title: M\"obius Polynomials

abstract:
  We introduce the M\"obius polynomial $ M_n(x) = \sum_{d|n} \mu\left( \frac nd
\right) x^d $, which gives the number of aperiodic bracelets of length $n$ with
$x$ possible types of gems, and therefore satisfies $M_n(x) \equiv 0$ (mod $n$)
for all $x \in \mathbb Z$. We derive some key properties, analyze graphs in the
complex plane, and then apply M\"obius polynomials combinatorially to juggling
patterns, irreducible polynomials over finite fields, and Euler's totient
theorem.


title:
The Parallax of W43: a Massive Star Forming Complex near the Galactic
  Bar

abstract:
  We report trigonometric parallax measurements of masers in the massive star
forming complex W43 from VLBA observations as part of the BeSSeL Survey. Based
on measurements of three 12 GHz methanol maser sources (G029.86-00.04,
G029.95-00.01 and G031.28+00.06) and one 22 GHz water maser source
(G031.58+00.07) toward W43, we derived a distance of $5.49^{+0.39}_{-0.34}$ kpc
to W43. By associating the masers with CO molecular clouds, and associating the
clouds kinematically with CO longitude-velocity spiral features, we assign W43
to the Scutum spiral arm, close to the near end of the Galactic bar. The
peculiar motion of W43 is about 20 km/s toward the Galactic Center and is very
likely induced by the gravitational attraction of the bar.


title:
Three-flavor chiral phase transition and axial symmetry breaking with
  the functional renormalization group

abstract:
  The interplay of mesonic fluctuations with an axial $U(1)_A$-symmetry
breaking and resulting effects on the location of a possibly existing critical
endpoint in the QCD phase diagram are investigated in a framework of the
functional renormalization group within a $N_f = 2 + 1$ flavor quark-meson
model truncation. The axial $U(1)_A$-symmetry breaking is imposed by a mesonic
Kobayashi-Maskawa-'t Hooft determinant. The quark mass sensitivity of the
chiral phase transition with and without the $U(1)_A$-symmetry breaking is
studied.


title: High Energy Elastic and Diffractive Cross Sections

abstract:
  We present a `global' description of the wide variety of high energy elastic
and diffractive data that are presently available, particularly from the LHC
experiments. The model is based on only one pomeron pole, but includes
multi-pomeron interactions and, significantly, includes the transverse momentum
dependence of intermediate partons as a function of their rapidity, which
provides the rapidity dependence of the multi-pomeron vertices. We give
predictions for diffractive observables at LHC energies.


title: Quantum search on graphene lattices

abstract:
  We present a continuous-time quantum search algorithm on a graphene lattice.
This provides the sought-after implementation of an efficient continuous-time
quantum search on a two-dimensional lattice. The search uses the linearity of
the dispersion relation near the Dirac point and can find a marked site on a
graphene lattice faster than the corresponding classical search. The algorithm
can also be used for state transfer and communication.


title:
New asteroseismic scaling relations based on Hayashi track relation
  applied to red-giant branch stars in NGC 6791 and NGC 6819

abstract:
  Stellar mass $M$, radius $R$, and gravity $g$ are important basic parameters
in stellar physics. Accurate values for these parameters can be obtained from
the gravitational interaction between stars in multiple systems or from
asteroseismology. Stars in a cluster are thought to be formed coevally from the
same interstellar cloud of gas and dust. The cluster members are therefore
expected to have some properties in common. These common properties strengthen
our ability to constrain stellar models and asteroseismically derived $M$, $R$
and $g$ when tested against an ensemble of cluster stars. Here we derive new
scaling relations based on a relation for stars on the Hayashi track
($\sqrt{T_{\rm eff}} \sim g^pR^q$) to determine the masses and metallicities of
red giant branch stars in open clusters NGC 6791 and NGC 6819 from the global
oscillation parameters $\Delta\nu$ (the large frequency separation) and
$\nu_{\rm max}$ (frequency of maximum oscillation power). The $\Delta\nu$ and
$\nu_{\rm max}$ values are derived from \kepler\ observations. From the
analysis of these new relations we derive: (1) direct observational evidence
that the masses of red giant branch stars in a cluster are the same within
their uncertainties, (2) new methods to derive $M$ and $z$ of the cluster in a
self consistent way from $\Delta\nu$ and $\nu_{\rm max}$, with lower intrinsic
uncertainties, (3) the mass dependence in the $\Delta\nu$ - $\nu_{\rm max}$
relation for red giant branch stars.


title:
The compactifications of moduli spaces of Burniat surfaces with $2\leq
  K^{2}\leq5$

abstract:
  We describe compactifications of moduli spaces of Burniat surfaces with
$2\leq K_{X}^{2}\leq5$ obtained by adding KSBA surfaces, i.e. slc surfaces $X$
with ample canonical class $K_{X}$.


title:
General laws of reflection and refraction for subwavelength phase
  grating

abstract:
  The general reflection and refraction laws at the metasurface with the abrupt
phase shift were derived by two different methods of Fermat's principle and the
boundary conditions respectively. It is found that one or two critical angles
for total internal reflection exist when a light hits on the optical sparse
material from the optical denser material, and one such a critical angle exists
when light spreads from the optical sparse material to the optical denser
material. Anomalous reflection and refraction, such as, negative reflection and
negative refraction may occur when a light passes through the metasurface, and
the conditions of their occurrence were given. Finally, a kind of metasurface
based on one-dimensional phase mask was designed to control the light
propagation.


title:
Parallaxes for W49N and G048.60+0.02: Distant Star Forming Regions in
  the Perseus Spiral Arm

abstract:
  We report trigonometric parallax measurements of 22 GHz H$_2$O masers in two
massive star-forming regions from VLBA observations as part of the BeSSeL
Survey. The distances of $11.11^{+0.79}_{-0.69}$ kpc to W49N (G043.16+0.01) and
$10.75^{+0.61}_{-0.55}$ kpc to G048.60+0.02 locate them in a distant section of
the Perseus arm near the solar circle in the first Galactic quadrant. This
allows us to locate accurately the inner portion of the Perseus arm for the
first time. Combining the present results with sources measured in the outer
portion of the arm in the second and third quadrants yields a global pitch
angle of 9.5 deg +/- 1.3 deg for the Perseus arm. We have found almost no
H$_2$O maser sources in the Perseus arm for 50 deg $< \ell <$ 80 deg,
suggesting that this $\approx 6$ kpc section of the arm has little massive star
formation activity.


title: The full classification of orthogonal easy quantum groups

abstract:
  In 1987, Woronowicz gave a definition of compact matrix quantum groups
generalizing compact Lie groups in the setting of noncommutative geometry.
About twenty years later, Banica and Speicher isolated a class of compact
matrix quantum groups with an intrinsic combinatorial structure. These so
called easy quantum groups are determined by categories of partitions. They
have been proven useful in order to understand various aspects of quantum
groups, in particular linked with Voiculescu's free probability theory.
Furthermore, they exhibit a way to find examples of compact quantum groups
besides q-deformations and quantum isometry groups. These characteristics
naturally motivated attempts to fully classify them. This is completed in the
present article.


title: Computational impact of hydrophobicity in protein stability

abstract:
  Among the various features of amino acids, the hydrophobic property has most
visible impact on stability of a sequence folding. This is mentioned in many
protein folding related work, in this paper we more elaborately discuss the
computational impact of the well defined hydrophobic aspect in determining
stability, approach with the help of a developed free energy computing
algorithm covering various aspects preprocessing of an amino acid sequence,
generating the folding and calculating free energy. Later discussing its use in
protein structure related research work.


title: Coupled GUE-minor Processes

abstract:
  This paper deals with two GUE-matrices, coupled together through some
inequalities between the spectra of the first few (small) principal minors. The
main results of the paper is to show that the spectra of the principal minors
of these coupled matrices behave statistically as the domino tilings of
finitely overlapping Aztec diamonds when their sizes get very large, with
horizontal and vertical dominos being equally likely. This extends naturally a
result of Johansson and Nordenstam in [17], stating that the spectra of the
principal minors of a GUE-matrix behave statistically as domino tilings of an
Aztec diamond, near the middle of its edge. Given the spectra of the two
coupled matrices, the joint spectra of the underlying principal minors of the
two GUE-matrices are uniformly distributed in a certain "double cone". In
particular, this leads to two GUE-matrices sharing the same real line, with one
spectrum being completely to the left of the other spectrum; this gives a new
and simple extension of GUE. Also notice that all statements concerning these
coupled random matrices have a domino tiling counterpart.