title:
Random walks in unweighted and weighted modular scale-free networks with
  a perfect trap

abstract:
  Designing optimal structure favorable to diffusion and effectively
controlling the trapping process are crucial in the study of trapping
problem---random walks with a single trap. In this paper, we study the trapping
problem occurring on unweighted and weighted networks, respectively. The
networks under consideration display the striking scale-free, small-world, and
modular properties, as observed in diverse real-world systems. For binary
networks, we concentrate on three cases of trapping problems with the trap
located at a peripheral node, a neighbor of the root with the least
connectivity, and a farthest node, respectively. For weighted networks with
edge weights controlled by a parameter, we also study three trapping problems,
in which the trap is placed separately at the root, a neighbor of the root with
the least degree, and a farthest node. For all the trapping problems, we obtain
the analytical formulas for the average trapping time (ATT) measuring the
efficiency of the trapping process, as well as the leading scaling of ATT. We
show that for all the trapping problems in the binary networks with a trap
located at different nodes, the dominating scalings of ATT reach the possible
minimum scalings, implying that the networks have optimal structure that is
advantageous to efficient trapping. Furthermore, we show that for trapping in
the weighted networks, the ATT is controlled by the weight parameter, through
modifying which, the ATT can behave superlinealy, linearly, sublinearly, or
logarithmically with the system size. This work could help improving the design
of systems with efficient trapping process and offers new insight into control
of trapping in complex systems.


title:
A new representation for two- and three-point correlators of operators
  from sl(2) sector

abstract:
  We construct a new representation for two- and three-point correlators of
operators from sl(2) sector of planar N = 4 SYM. The spin and twist of
operators are arbitrary. We start with the correlation function of light-ray
operators and carry out a projection to particular local operators using the
method of Separated Variables. With the same calculation we obtain polynomials
which are dual to wave functions of sl(2,R) spin-chain.


title: Juntas in the $\ell^{1}$-grid and Lipschitz maps between discrete tori

abstract:
  We show that if $A \subset [k]^n$, then $A$ is $\epsilon$-close to a junta
depending upon at most $\exp(O(|\partial A|/(k^{n-1}\epsilon)))$ coordinates,
where $\partial A$ denotes the edge-boundary of $A$ in the $\ell^1$-grid. This
is sharp up to the value of the absolute constant in the exponent. This result
can be seen as a generalisation of the Junta theorem for the discrete cube,
from [E. Friedgut, Boolean functions with low average sensitivity depend on few
coordinates, Combinatorica 18 (1998), 27-35], or as a characterization of large
subsets of the $\ell^1$-grid whose edge-boundary is small. We use it to prove a
result on the structure of Lipschitz functions between two discrete tori; this
can be seen as a discrete, quantitative analogue of a recent result of Austin
[T. Austin, On the failure of concentration for the $\ell^{\infty}$-ball,
preprint]. We also prove a refined version of our junta theorem, which is sharp
in a wider range of cases.


title:
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in
  the Thermodynamic Limit

abstract:
  We establish several properties of the solutions to the linear integral
equations describing the infinite volume properties of the XXZ spin-1/2 chain
in the disordered regime. In particular, we obtain lower and upper bounds for
the dressed energy, dressed charge and density of Bethe roots. Furthermore, we
establish that given a fixed external magnetic field (or a fixed magnetization)
there exists a unique value of the boundary of the Fermi zone.


title: Polynomial Stability of Semigroups Generated by Operator Matrices

abstract:
  In this paper we study the stability properties of strongly continuous
semigroups generated by block operator matrices. We consider triangular and
full operator matrices whose diagonal operator blocks generate polynomially
stable semigroups. As our main results, we present conditions under which also
the semigroup generated by the operator matrix is polynomially stable. The
theoretic results are applied to deriving conditions for the polynomial
stability of a system consisting of a two-dimensional and a one-dimensional
damped wave equations.


title: Integrated Fiber-Mirror Ion Trap for Strong Ion-Cavity Coupling

abstract:
  We present and characterize fiber mirrors and a miniaturized ion-trap design
developed to integrate a fiber-based Fabry-Perot cavity (FFPC) with a linear
Paul trap for use in cavity-QED experiments with trapped ions. Our fiber-mirror
fabrication process not only enables the construction of FFPCs with small mode
volumes, but also allows us to minimize the influence of the dielectric fiber
mirrors on the trapped-ion pseudopotential. We discuss the effect of clipping
losses for long FFPCs and the effect of angular and lateral displacements on
the coupling efficiencies between cavity and fiber. Optical profilometry allows
us to determine the radii of curvature and ellipticities of the fiber mirrors.
From finesse measurements we infer a single-atom cooperativity of up to $12$
for FFPCs longer than $200 \mu$m in length; comparison to cavities constructed
with reference substrate mirrors produced in the same coating run indicates
that our FFPCs have similar scattering losses. We discuss experiments to anneal
fiber mirrors and explore the influence of the atmosphere under which annealing
occurs on coating losses, finding that annealing under vacuum increases the
losses for our reference substrate mirrors. Our unique linear Paul trap design
provides clearance for such a cavity and is miniaturized to shield trapped ions
from the dielectric fiber mirrors. We numerically calculate the trap potential
in the absence of fibers. In the experiment additional electrodes can be used
to compensate distortions of the potential due to the fibers. Home-built fiber
feedthroughs connect the FFPC to external optics, and an integrated
nanopositioning system affords the possibility of retracting or realigning the
cavity without breaking vacuum.


title: Matrix factorizations and families of curves of genus 15

abstract:
  In this note, we explain how certain matrix factorizations on cubic
threefolds lead to families of curves of genus 15 and degree 16 in P^4. We
prove that the moduli space M={(C,L) | C a curve of genus 15, L a line bundle
on C of degree 16 with 5 sections} is birational to a certain space of matrix
factorizations of cubics, and that M is uniruled. Our attempt to prove the
unirationality of this space failed with our methods. Instead one can interpret
our findings as evidence for the conjecture that the basis of the maximal
rational connected fibration of M has a three dimensional base.


title: Geometrothermodynamics: Comments, critics, and supports

abstract:
  We write explicitly the Euler identity and the Gibbs-Duhem relation for
thermodynamic potentials that are not homogeneous first-order functions of
their natural extensive variables. We apply the rules to the theory of
geometrothermodynamics and show how the use of the natural extensive variables,
instead of the modified ones, leads to misleading results. We further reveal
some other ambiguities and inconsistencies in the theory and we make new
suggestions.


title: Zeta Functions on Arithmetic Surfaces

abstract:
  We use a form of lifted harmonic analysis to develop a two-dimensional adelic
integral representation of the zeta functions of simple arithmetic surfaces.
Manipulations of this integral then lead to an adelic interpretation of the
so-called mean-periodicity correspondence, which is comparable to the better
known automorphicity conjectures for the generic fibre.


title:
Modeling the functional network of primary intercellular Ca$^{2+}$ wave
  propagation in astrocytes and its application to study drug effects

abstract:
  We introduce a simple procedure of multivariate signal analysis to uncover
the functional connectivity among cells composing a living tissue and describe
how to apply it for extracting insight on the effect of drugs in the tissue.
The procedure is based on the covariance matrix of time resolved activity
signals. By determining the time-lag that maximizes covariance, one derives the
weight of the corresponding connection between cells. Introducing simple
constraints, it is possible to conclude whether pairs of cells are functionally
connected and in which direction. After testing the method against synthetic
data we apply it to study intercellular propagation of Ca$^{2+}$ waves in
astrocytes following an external stimulus, with the aim of uncovering the
functional cellular connectivity network. Our method proves to be particularly
suited for this type of networking signal propagation where signals are
pulse-like and have short time-delays, and is shown to be superior to standard
methods, namely a multivariate Granger algorithm. Finally, based the
statistical analysis of the connection weight distribution, we propose simple
measures for assessing the impact of drugs on the functional connectivity
between cells.


title: Simple game induced manifolds

abstract:
  Starting by a simple game $Q $ as a combinatorial data, we build up a cell
complex $M(Q)$, whose construction resembles combinatorics of the
permutohedron. The cell complex proves to be a combinatorial manifold; we call
it the \textit{ simple game induced manifold.} By some motivations coming from
polygonal linkages, we think of $Q$ and of $M(Q)$ as of\textit{ a quasilinkage}
and the \textit{moduli space of the quasilinkage} respectively. We present some
examples of quasilinkages and show that the moduli space retains many
properties of moduli space of polygonal linkages. In particular, we show that
the moduli space $M(Q)$ is homeomorphic to the space of stable point
configurations on $S^1$, for an associated with a quasilinkage notion of
stability.


title: $D_s$ to $\phi$ and other transitions from lattice QCD

abstract:
  We have studied transitions between vector and pseudoscalar mesons using the
HISQ action for the valence quarks. We have calculated all of the axial and
vector form factors that appear in the decay rate for $D_s \to \phi \ell \nu$
over the full $q^2$ range and compared them to the shape of the experimental
decay distributions. We use nonperturbatively normalised currents for the
vector and axial vector currents. The same set up for the three point
correlations functions also allow us to study radiative decays and we have
calculated the decay rate for $J/\psi \to \eta_c \gamma$.


title:
A diagram algebra for Soergel modules corresponding to smooth Schubert
  varieties

abstract:
  Using combinatorial properties of symmetric polynomials, we compute
explicitly the Soergel modules for some permutations whose corresponding
Schubert varieties are rationally smooth. We build from them diagram algebras
whose module categories are equivalent to the subquotient categories of the BGG
category $\mathcal{O}(\mathfrak{gl}_n)$ which show up in categorification of
$\mathfrak{gl}(1|1)$-representations. We construct diagrammatically the graded
cellular structure and the properly stratified structure of these algebras.


title: Imaging Cold Molecules on a Chip

abstract:
  We present the integrated imaging of cold molecules in a microchip
environment. The on-chip de- tection is based on REMPI, which is
quantum-state-selective and generally applicable. We demon- strate and
characterize time-resolved spatial imaging and subsequently use it to analyze
the effect of a phase-space manipulation sequence aimed at compressing the
velocity distribution of a molec- ular ensemble with a view to future
high-resolution spectroscopic studies. The realization of such on-chip
measurements adds the final fundamental component to the molecule chip,
offering a new and promising route for investigating cold molecules.


title:
Studies of hot photoluminescence in plasmonically-coupled silicon via
  variable energy excitation and temperature dependent spectroscopy

abstract:
  By coupling silicon nanowires (~150 nm diameter, 20 micron length) with an
{\Omega}-shaped plasmonic nanocavity we are able to generate broadband visible
luminescence, which is induced by high-order hybrid nanocavity-surface plasmon
modes. The nature of this super-bandgap emission is explored via
photoluminescence spectroscopy studies performed with variable laser excitation
energies (1.959 eV to 2.708 eV) and finite difference time domain simulations.
Furthermore, temperature-dependent photoluminescence spectroscopy shows that
the observed emission corresponds to radiative recombination of un-thermalized
(hot) carriers as opposed to a Resonant Raman process.


title:
Full one-loop electroweak corrections to $e^+e^- \to ZH\gamma$ at a
  Higgs factory

abstract:
  Motivated by the future precision test of the Higgs boson at an $e^+e^-$
Higgs factory, we calculate the production $e^+e^- \to ZH\gamma$ in the
Standard Model with complete next-to-leading order electroweak corrections. We
find that for $\sqrt{s}=240$ (350) GeV the cross section of this production is
sizably reduced by the electroweak corrections, which is $1.03$ (5.32) fb at
leading order and 0.72 (4.79) fb at next-to-leading order. The transverse
momentum distribution of the photon in the final states is also presented.


title: Endomorphism Breaking in Graphs

abstract:
  We introduce the {\it endomorphism distinguishing number} $D_e(G)$ of a graph
$G$ as the least cardinal $d$ such that $G$ has a vertex coloring with $d$
colors that is only preserved by the trivial endomorphism. This generalizes the
notion of the distinguishing number $D(G)$ of a graph $G$, which is defined for
automorphisms instead of endomorphisms.
  As the number of endomorphisms can vastly exceed the number of automorphisms,
the new concept opens challenging problems, several of which are presented
here.
  In particular, we investigate relationships between $D_e(G)$ and the
endomorphism motion of a graph $G$, that is, the least possible number of
vertices moved by a nontrivial endomorphism of $G$. Moreover, we extend
numerous results about the distinguishing number of finite and infinite graphs
to the endomorphism distinguishing number. This is the main concern of the
paper.


title:
Swift X-ray and ultraviolet observations of the shortest orbital period
  double-degenerate system RX J0806.3+1527 (HM Cnc)

abstract:
  The system RX J0806.3+1527 (HM Cnc) is a pulsating X-ray source with 100 per
cent modulation on a period of 321.5 s (5.4 min). This period reflects the
orbital motion of a close binary consisting of two interacting white dwarfs.
Here we present a series of simultaneous X-ray (0.2-10 keV) and
near-ultraviolet (2600 angstrom and 1928 angstrom) observations that were
carried out with the Swift satellite. In the near-ultraviolet, the counterpart
of RX J0806.3+1527 was detected at flux densities consistent with a blackbody
with temperature 27E+3 K. We found that the emission at 2600 angstrom is
modulated at the 321.5-s period with the peak ahead of the X-ray one by 0.28
cycles and is coincident within 0.05 cycles with the optical. This phase-shift
measurement confirms that the X-ray hot spot (located on the primary white
dwarf) is at about 80-100 degrees from the direction that connects the two
white dwarfs. Albeit at lower significance, the 321.5-s signature is present
also in the 1928-angstrom data; at this wavelength, however, the pulse peak is
better aligned with that observed at X-rays. We use the constraints on the
source luminosity and the geometry of the emitting regions to discuss the
merits and limits of the main models for RX J0806.3+1527.


title: Maps completely preserving involution

abstract:
  Let X and Y be Banach spaces with dim X greater than 3. Let A and B be
standard operator algebras on X and Y. We characterize the form of maps from A
onto B such that completely preserve involution.


title: Computing the Adler function from the vacuum polarization function

abstract:
  We use a lattice determination of the hadronic vacuum polarization tensor to
study the associated Ward identities and compute the Adler function. The vacuum
polarization tensor is computed from a combination of point-split and local
vector currents, using two flavours of O($a$)-improved Wilson fermions.
Partially twisted boundary conditions are employed to obtain a fine momentum
resolution. The modifications of the Ward identities by lattice artifacts and
by the use of twisted boundary conditions are monitored. We determine the Adler
function from the derivative of the vacuum polarization function over a large
region of momentum transfer $q^2$. As a first account of systematic effects, a
continuum limit scaling analysis is performed in the large $q^2$ regime.


title:
Dimensionality reduction for click-through rate prediction: Dense versus
  sparse representation

abstract:
  In online advertising, display ads are increasingly being placed based on
real-time auctions where the advertiser who wins gets to serve the ad. This is
called real-time bidding (RTB). In RTB, auctions have very tight time
constraints on the order of 100ms. Therefore mechanisms for bidding
intelligently such as clickthrough rate prediction need to be sufficiently
fast. In this work, we propose to use dimensionality reduction of the
user-website interaction graph in order to produce simplified features of users
and websites that can be used as predictors of clickthrough rate. We
demonstrate that the Infinite Relational Model (IRM) as a dimensionality
reduction offers comparable predictive performance to conventional
dimensionality reduction schemes, while achieving the most economical usage of
features and fastest computations at run-time. For applications such as
real-time bidding, where fast database I/O and few computations are key to
success, we thus recommend using IRM based features as predictors to exploit
the recommender effects from bipartite graphs.


title:
Cool carbon stars in the halo and in dwarf galaxies: Halpha, colours,
  and variabiity

abstract:
  The population of cool carbon (C) stars located far from the galactic plane
is probably made of debris of small galaxies such as the Sagittarius dwarf
spheroidal galaxy (Sgr), which are disrupted by the gravitational field of the
Galaxy. We aim to know this population better through spectroscopy, 2MASS
photometric colours, and variability data. When possible, we compared the halo
results to C star populations in the Fornax dwarf spheroidal galaxy, Sgr, and
the solar neighbourhood. We first present a few new discoveries of C stars in
the halo and in Fornax. The number of spectra of halo C stars is now 125. Forty
percent show Halpha in emission. The narrow location in the JHK diagram of the
halo C stars is found to differ from that of similar C stars in the above
galaxies. The light curves of the Catalina and LINEAR variability databases
were exploited to derive the pulsation periods of 66 halo C stars. A few
supplementary periods were obtained with the TAROT telescopes. We confirm that
the period distribution of the halo strongly resembles that of Fornax, and we
found that is it very different from the C stars in the solar neighbourhood.
There is a larger proportion of short period Mira/SRa variables in the halo
than in Sgr, but the survey for C stars in this dwarf galaxy is not complete,
and the study of their variability needs to be continued to investigate the
link between Sgr and the cool halo C stars.


title:
Solar Transition-Region Lines Observed by the Interface Region Imaging
  Spectrograph: Diagnostics for the O IV and Si IV Lines

abstract:
  The formation of the transition-region O IV and Si IV lines observable by the
Interface Region Imaging Spectrograph (IRIS) is investigated for both
Maxwellian and non-Maxellian conditions characterized by a kappa-distribution
exhibiting a high-energy tail. The \ion{Si}{4} lines are formed at lower
temperatures than the O IV lines for all kappa. In non-Maxwellian situations
with lower kappa, the contribution functions are shifted to lower temperatures.
Combined with the slope of the differential emission measure, it is possible
for the Si IV lines to be formed at very different regions of solar transition
region than the O IV lines; possibly close to solar chromosphere. Such
situations might be discernible by IRIS. It is found that photoexcitation can
be important for the Si IV lines, but is negligible for the O IV lines. The
usefulness of the O IV ratios for density diagnostics independently of kappa is
investigated and it is found that the O IV 1404.78A /1399.77A ratio provides a
good density diagnostics except for very low T combined with extreme
non-Maxwellian situations.


title: Spectral Regularisation: Induced Gravity and the Onset of Inflation

abstract:
  Using spectral regularisation, we compute the Weyl anomaly and express the
anomaly generating functional of the quantum effective action through a
collective scalar degree of freedom of all quantum vacuum fluctuations. Such a
formulation allows us to describe induced gravity on an equal footing with the
anomaly-induced effective action, in a self-consistent way. We then show that
requiring stability of the cosmological constant under loop quantum
corrections, Sakharov's induced gravity and Starobinsky's anomaly-induced
inflation are either both present or both absent, depending on the particle
content of the theory.


title:
Europium production: neutron star mergers versus core-collapse
  supernovae

abstract:
  We have explored the Eu production in the Milky Way by means of a very
detailed chemical evolution model. In particular, we have assumed that Eu is
formed in merging neutron star (or neutron star black hole) binaries as well as
in type II supernovae. We have tested the effects of several important
parameters influencing the production of Eu during the merging of two neutron
stars, such as: i) the time scale of coalescence, ii) the Eu yields and iii)
the range of initial masses for the progenitors of the neutron stars. The
yields of Eu from type II supernovae are very uncertain, more than those from
coalescing neutron stars, so we have explored several possibilities. We have
compared our model results with the observed rate of coalescence of neutron
stars, the solar Eu abundance, the [Eu/Fe] versus [Fe/H] relation in the solar
vicinity and the [Eu/H] gradient along the Galactic disc. Our main results can
be summarized as follows: i) neutron star mergers can be entirely responsible
for the production of Eu in the Galaxy if the coalescence time scale is no
longer than 1 Myr for the bulk of binary systems, the Eu yield is around $3
\times 10^{-7}$ M$_\odot$, and the mass range of progenitors of neutron stars
is 9-50 M$_\odot$; ii) both type II supernovae and merging neutron stars can
produce the right amount of Eu if the neutron star mergers produce $2 \times
10^{-7}$ M$_\odot$ per system and type II supernovae, with progenitors in the
range 20-50 M$_\odot$, produce yields of Eu of the order of $10^{-8}-10^{-9}$
M$_\odot$; iii) either models with only neutron stars producing Eu or mixed
ones can reproduce the observed Eu abundance gradient along the Galactic disc.


title:
A customized flocking algorithm for swarms of sensors tracking a swarm
  of targets

abstract:
  Wireless mobile sensor networks (WMSNs) are groups of mobile sensing agents
with multi-modal sensing capabilities that communicate over wireless networks.
WMSNs have more flexibility in terms of deployment and exploration abilities
over static sensor networks. Sensor networks have a wide range of applications
in security and surveillance systems, environmental monitoring, data gathering
for network-centric healthcare systems, monitoring seismic activities and
atmospheric events, tracking traffic congestion and air pollution levels,
localization of autonomous vehicles in intelligent transportation systems, and
detecting failures of sensing, storage, and switching components of smart
grids. The above applications require target tracking for processes and events
of interest occurring in an environment. Various methods and approaches have
been proposed in order to track one or more targets in a pre-defined area.
Usually, this turns out to be a complicated job involving higher order
mathematics coupled with artificial intelligence due to the dynamic nature of
the targets. To optimize the resources we need to have an approach that works
in a more straightforward manner while resulting in fairly satisfactory data.
In this paper we have discussed the various cases that might arise while
flocking a group of sensors to track targets in a given environment. The
approach has been developed from scratch although some basic assumptions have
been made keeping in mind some previous theories. This paper outlines a
customized approach for feasibly tracking swarms of targets in a specific area
so as to minimize the resources and optimize tracking efficiency.


title:
Chemical potential of liquids and mixtures via Adaptive Resolution
  Simulation

abstract:
  We employ the adaptive resolution approach AdResS, in its recently developed
Grand Canonical-like version (GC-AdResS) [Wang et al. Phys.Rev.X 3, 011018
(2013)], to calculate the excess chemical potential, $\mu^{ex}$, of various
liquids and mixtures. We compare our results with those obtained from full
atomistic simulations using the technique of thermodynamic integration and show
a satisfactory agreement. In GC-AdResS the procedure to calculate $\mu^{ex}$
corresponds to the process of standard initial equilibration of the system;
this implies that, independently of the specific aim of the study, $\mu^{ex}$,
for each molecular species, is automatically calculated every time a GC-AdResS
simulation is performed.

categories: cond-mat.stat-mech physics.bio-ph physics.chem-ph physics.comp-ph


title: The first acquaintance with the tensor

abstract:
  The main concepts of the theory of tensors are presented. The emphasis is on
the basic notions of tensor algebra and practical skills in culculations
involving the Kronecker delta and Levi-Civita symbol. Sixty routine exercises
are included. The article is intended for junior students of physical,
mathematical, and geophysical departments of universities.


title: The gravitational energy

abstract:
  We present the expression $t_{\mu\nu}$ of the energy-momentum tensor of the
gravitational field in the framework of the recent proposal of the Geometric
Scalar theory of gravity (GSG). From the conservation of $t_{\mu\nu}$ it
follows the dynamics of the gravitational field. As an example of this
expression for $t_{\mu\nu}$ we calculate the gravitational energy of a compact
object.


title:
Thermodynamic and classical instability of AdS black holes in
  fourth-order gravity

abstract:
  We study thermodynamic and classical instability of AdS black holes in
fourth-order gravity. These include the BTZ black hole in new massive gravity,
Schwarzschild-AdS black hole, and higher-dimensional AdS black holes in
fourth-order gravity. All thermodynamic quantities which are computed using the
Abbot-Deser-Tekin method are used to study thermodynamic instability of AdS
black holes. On the other hand, we investigate the $s$-mode Gregory-Laflamme
instability of the massive graviton propagating around the AdS black holes. We
establish the connection between the thermodynamic instability and the GL
instability of AdS black holes in fourth-order gravity. This may show the
Gubser-Mitra conjecture which holds for AdS black holes found from fourth-order
gravity.


title: Application of beyond $\delta N$ formalism -- Varying sound speed

abstract:
  We focus on the evolution of curvature perturbation on superhorizon scales by
adopting the spatial gradient expansion and show that the nonlinear theory,
called the beyond $\delta N$-formalism as the next-leading order in the
expansion. As one application of our formalism for a single scalar field, we
investigate the case of varying sound speed. In our formalism, we can deal with
the time evolution in contrast to $\delta N$-formalism, where curvature
perturbations remain just constant, and nonlinear curvature perturbation
follows the simple master equation whose form is similar as one in linear
theory. So the calculation of bispectrum can be done in the next-leading order
in the expansion as similar as the case of deriving the power spectrum. We
discuss localized features of both primordial power and bispectrum generated by
the effect of varying sound speed with a finite duration time. We can see a
local feature like a bump in the equilateral bispectrum.


title:
Functions of genus zero for which the fast escaping set has Hausdorff
  dimension two

abstract:
  We study a family of transcendental entire functions of genus zero, for which
all of the zeros lie within a closed sector strictly smaller than a half-plane.
In general these functions lie outside the Eremenko-Lyubich class. We show that
for functions in this family the fast escaping set has Hausdorff dimension
equal to two.


title: The Fan Theorem, its strong negation, and the determinacy of games

abstract:
  IIn the context of a weak formal theory called Basic Intuitionistic
Mathematics $\mathsf{BIM}$, we study Brouwer's Fan Theorem and a strong
negation of the Fan Theorem, Kleene's Alternative (to the Fan Theorem). We
prove that the Fan Theorem is equivalent to contrapositions of a number of
intuitionistically accepted axioms of countable choice and that Kleene's
Alternative is equivalent to strong negations of these statements. We also
discuss finite and infinite games and introduce a constructively useful notion
of determinacy. We prove that the Fan Theorem is equivalent to the
Intuitionistic Determinacy Theorem, saying that every subset of Cantor space
is, in our constructively meaningful sense, determinate, and show that Kleene's
Alternative is equivalent to a strong negation of a special case of this
theorem. We then consider a uniform intermediate value theorem and a
compactness theorem for classical propositional logic, and prove that the Fan
Theorem is equivalent to each of these theorems and that Kleene's Alternative
is equivalent to strong negations of them. We end with a note on a possibly
important statement, provable from principles accepted by Brouwer, that one
might call a Strong Fan Theorem.


title: Purity of critical cohomology and Kac's conjecture

abstract:
  We provide a new proof of the Kac positivity conjecture for an arbitrary
quiver $Q$. The ingredients are the cohomological integrality theorem in
Donaldson-Thomas theory, dimensional reduction, and an easy purity result.
These facts imply the purity of the cohomological Donaldson-Thomas invariants
for a quiver with potential $(\tilde{Q},W)$ associated to $Q$, which in turn
implies positivity of the Kac polynomials for $Q$.


title:
Study of KIC 8561221 observed by Kepler: an early red giant showing
  depressed dipolar modes

abstract:
  The continuous high-precision photometric observations provided by the CoRoT
and Kepler space missions have allowed us to better understand the structure
and dynamics of red giants using asteroseismic techniques. A small fraction of
these stars shows dipole modes with unexpectedly low amplitudes. The reduction
in amplitude is more pronounced for stars with higher frequency of maximum
power. In this work we want to characterize KIC 8561221 in order to confirm
that it is currently the least evolved star among this peculiar subset and to
discuss several hypotheses that could help explain the reduction of the dipole
mode amplitudes. We used Kepler short- and long-cadence data combined with
spectroscopic observations to infer the stellar structure and dynamics of KIC
8561221. We then discussed different scenarios that could contribute to the
reduction of the dipole amplitudes such as a fast rotating interior or the
effect of a magnetic field on the properties of the modes. We also performed a
detailed study of the inertia and damping of the modes. We have been able to
characterize 37 oscillations modes, in particular, a few dipole modes above
nu_max that exhibit nearly normal amplitudes. We have inferred a surface
rotation period of around 91 days and uncovered the existence of a variation in
the surface magnetic activity during the last 4 years. As expected, the
internal regions of the star probed by the l = 2 and 3 modes spin 4 to 8 times
faster than the surface. With our grid of standard models we are able to
properly fit the observed frequencies. Our model calculation of mode inertia
and damping give no explanation for the depressed dipole modes. A fast rotating
core is also ruled out as a possible explanation. Finally, we do not have any
observational evidence of the presence of a strong deep magnetic field inside
the star.


title:
A generalization of the quadrangulation relation to constellations and
  hypermaps

abstract:
  Constellations and hypermaps generalize combinatorial maps, i.e. embedding of
graphs in a surface, in terms of factorization of permutations. In this paper,
we extend a result of Jackson and Visentin (1990) stating an enumerative
relation between quadrangulations and bipartite quadrangulations. We show a
similar relation between hypermaps and constellations by using a result of
Littlewood on factorization of characters. A combinatorial proof of
Littlewood's result is also given. Furthermore, we show that coefficients in
our relation are all positive integers, hinting possibility of a combinatorial
interpretation. Using this enumerative relation, we recover a result on the
asymptotic behavior of hypermaps in Chapuy (2009).


title:
Evolution of the energy consumed by street lighting in Spain estimated
  with DMSP-OLS data

abstract:
  We present the results of the analysis of satellite imagery to study light
pollution in Spain. Both calibrated and non-calibrated DMSP-OLS images were
used. We describe the method to scale the non-calibrated DMSP-OLS images which
allows us to use differential photometry techniques in order to study the
evolution of the light pollution. Population data and DMSP-OLS satellite
calibrated images for the year 2006 were compared to test the reliability of
official statistics in public lighting consumption. We found a relationship
between the population and the energy consumption which is valid for several
regions. Finally the true evolution of the electricity consumption for street
lighting in Spain from 1992 to 2010 was derived, it have been doubled in the
last 18 years in most of the provinces.


title:
Singularity-free two-body equation with confining interactions in
  momentum space

abstract:
  We are developing a covariant model for all mesons that can be described as
quark-antiquark bound states in the framework of the Covariant Spectator Theory
(CST) in Minkowski space. The kernel of the bound-state equation contains a
relativistic generalization of a linear confining potential which is singular
in momentum space and makes its numerical solution more difficult. The same
type of singularity is present in the momentum-space Schr\"odinger equation,
which is obtained in the nonrelativistic limit. We present an alternative,
singularity-free form of the momentum-space Schr\"odinger equation which is
much easier to solve numerically and which yields accurate and stable results.
The same method will be applied to the numerical solution of the CST
bound-state equations.


title:
Continuous and discontinuous dynamic unbinding transitions in drawn film
  flow

abstract:
  When a plate is withdrawn from a liquid bath a coating layer is deposited
whose thickness and homogeneity depend on the velocity and the wetting
properties of the plate. Using a long-wave mesoscopic hydrodynamic description
that incorporates wettability via a Derjaguin (disjoining) pressure we identify
four qualitatively different dynamic transitions between microscopic and
macroscopic coatings that are out-of-equilibrium equivalents of well known
equilibrium unbinding transitions. Namely, these are continuous and
discontinuous dynamic emptying transitions and discontinuous and continuous
dynamic wetting transitions. We uncover several features that have no
equivalent at equilibrium.


title: Measurement of cosmic muon charge ratio with the Large Volume Detector

abstract:
  The charge ratio ${k \equiv \mu^+/\mu^-}$ for atmospheric muons has been
measured using Large Volume Detector (LVD) in the INFN Gran Sasso National
Laboratory, Italy (minimal depth is 3000 m w.e.). To reach this depth muons
should have the energy at the sea level greater than 1.3 TeV. The muon charge
ratio was defined using the number of the decays of stopping positive muons in
the LVD iron structure and the decays of positive and negative muons in
scintillator. We have obtained the value of the muon charge ratio ${k}$ ${=
1.26 \pm 0.04(stat) \pm 0.11(sys)}$.


title:
Improved Optimal and Approximate Power Graph Compression for Clearer
  Visualisation of Dense Graphs

abstract:
  Drawings of highly connected (dense) graphs can be very difficult to read.
Power Graph Analysis offers an alternate way to draw a graph in which sets of
nodes with common neighbours are shown grouped into modules. An edge connected
to the module then implies a connection to each member of the module. Thus, the
entire graph may be represented with much less clutter and without loss of
detail. A recent experimental study has shown that such lossless compression of
dense graphs makes it easier to follow paths. However, computing optimal power
graphs is difficult. In this paper, we show that computing the optimal
power-graph with only one module is NP-hard and therefore likely NP-hard in the
general case. We give an ILP model for power graph computation and discuss why
ILP and CP techniques are poorly suited to the problem. Instead, we are able to
find optimal solutions much more quickly using a custom search method. We also
show how to restrict this type of search to allow only limited back-tracking to
provide a heuristic that has better speed and better results than previously
known heuristics.


title:
A Priori Estimates for Fractional Nonlinear Degenerate Diffusion
  Equations on bounded domains

abstract:
  We investigate quantitative properties of the nonnegative solutions
$u(t,x)\ge 0$ to the nonlinear fractional diffusion equation, $\partial_t u +
{\mathcal L} (u^m)=0$, posed in a bounded domain, $x\in\Omega\subset {\mathbb
R}^N$ with $m>1$ for $t>0$. As ${\mathcal L}$ we use one of the most common
definitions of the fractional Laplacian $(-\Delta)^s$, $0<s<1$, in a bounded
domain with zero Dirichlet boundary conditions. We consider a general class of
very weak solutions of the equation, and obtain a priori estimates in the form
of smoothing effects, absolute upper bounds, lower bounds, and Harnack
inequalities. We also investigate the boundary behaviour and we obtain sharp
estimates from above and below. The standard Laplacian case $s=1$ or the linear
case $m=1$ are recovered as limits. The method is quite general, suitable to be
applied to a number of similar problems.


title:
A compact resonant \Pi-shaped photoacoustic cell with low window
  background for gas sensing

abstract:
  A resonant photoacoustic cell capable of detecting the traces of gases at an
amplitude-modulation regime is represented. The cell is designed so as to
minimize the window background for the cell operation at a selected acoustic
resonance. A compact prototype cell (the volume of acoustic cavity of ~ 0.2
cm^3, total cell weight of 3.5 g) adapted to the narrow diffraction-limited
beam of near-infrared laser is produced and examined experimentally. The
noise-associated measurement error and laser-initiated signals are studied as
functions of modulation frequency. The background signal and useful response to
light absorption by the gas are analyzed in measurements of absorption for
ammonia traces in nitrogen flow with the help of a pigtailed DFB laser diode
operated near a wavelength of 1.53 um. The performance of absorption detection
and gas-leak sensing for the prototype operated at the second longitudinal
acoustic resonance (the resonance frequency of ~ 4.38 kHz, Q-factor of ~ 13.9)
is estimated. The noise-equivalent absorption normalized to laser-beam power
and detection bandwidth is ~ 1.44x10^{-9} cm^{-1} W Hz^{-1/2}. The amplitude of
the window-background signal is equivalent to an absorption coefficient of ~
2.82x10^{-7} cm^{-1}.


title: A Holographic Quantum Hall Ferromagnet

abstract:
  A detailed numerical study of a recent proposal for exotic states of the
D3-probe D5 brane system with charge density and an external magnetic field is
presented. The state has a large number of coincident D5 branes blowing up to a
D7 brane in the presence of the worldvolume electric and magnetic fields which
are necessary to construct the holographic state. Numerical solutions have
shown that these states can compete with the the previously known chiral
symmetry breaking and maximally symmetric phases of the D3-D5 system. Moreover,
at integer filling fractions, they are incompressible with integer quantized
Hall conductivities. In the dual superconformal defect field theory, these
solutions correspond to states which break the chiral and global flavor
symmetries spontaneously. The region of the temperature-density plane where the
D7 brane has lower energy than the other known D5 brane solutions is
identified. A hypothesis for the structure of states with filling fraction and
Hall conductivity greater than one is made and tested by numerical computation.
A parallel with the quantum Hall ferromagnetism or magnetic catalysis
phenomenon which is observed in graphene is drawn. As well as demonstrating
that the phenomenon can exist in a strongly coupled system, this work makes a
number of predictions of symmetry breaking patterns and phase transitions for
such systems.


title: Encapsulated formulation of the Selective Frequency Damping method

abstract:
  We present an alternative "encapsulated" formulation of the Selective
Frequency Damping method for finding unstable equilibria of dynamical systems,
which is particularly useful when analysing the stability of fluid flows. The
formulation makes use of splitting methods, which means that it can be wrapped
around an existing time-stepping code as a "black box". The method is first
applied to a scalar problem in order to analyse its stability and highlight the
roles of the control coefficient $\chi$ and the filter width $\Delta$ in the
convergence (or not) towards the steady-state. Then the steady-state of the
incompressible flow past a two-dimensional cylinder at $Re=100$, obtained with
a code which implements the spectral/hp element method, is presented.


title: Clique trees of infinite locally finite chordal graphs

abstract:
  We investigate clique trees of infinite locally finite chordal graphs. Our
main contribution is a bijection between the set of clique trees and the
product of local finite families of finite trees. Even more, the edges of a
clique tree are in bijection with the edges of the corresponding collection of
finite trees. This allows us to enumerate the clique trees of a chordal graph
and extend various classic characterisations of clique trees to the infinite
setting.


title: Recent results from the ANTARES neutrino telescope

abstract:
  The ANTARES neutrino telescope is currently the largest operating water
Cherenkov detector and the largest neutrino detector in the Northern
Hemisphere. Its main scientific target is the detection of high-energy (TeV and
beyond) neutrinos from cosmic accelerators, as predicted by hadronic
interaction models, and the measurement of the diffuse neutrino flux. Its
location allows for surveying a large part of the Galactic Plane, including the
Galactic Centre. In addition to the standalone searches for point-like and
diffuse high-energy neutrino signals, ANTARES has developed a range of
multi-messenger strategies to exploit the close connection between neutrinos
and other cosmic messengers such as gamma-rays, charged cosmic rays and
gravitational waves. This contribution provides an overview of the recently
conducted analyses, including a search for neutrinos from the Fermi bubbles
region, searches for optical counterparts with the TAToO program, and searches
for neutrinos in correlation with gamma-ray bursts, blazars, and microquasars.
Further topics of investigation, covering e.g. the search for neutrinos from
dark matter annihilation, searches for exotic particles and the measurement of
neutrino oscillations, are also reviewed.


title: Consecutive primes in tuples

abstract:
  In a recent advance towards the Prime $k$-tuple Conjecture, Maynard and Tao
have shown that if $k$ is sufficiently large in terms of $m$, then for an
admissible $k$-tuple $\mathcal{H}(x) = \{gx + h_j\}_{j=1}^k$ of linear forms in
$\mathbb{Z}[x]$, the set $\mathcal{H}(n) = \{gn + h_j\}_{j=1}^k$ contains at
least $m$ primes for infinitely many $n \in \mathbb{N}$. In this note, we
deduce that $\mathcal{H}(n) = \{gn + h_j\}_{j=1}^k$ contains at least $m$
consecutive primes for infinitely many $n \in \mathbb{N}$. We answer an old
question of Erd\H os and Tur\'an by producing strings of $m + 1$ consecutive
primes whose successive gaps $\delta_1,\ldots,\delta_m$ form an increasing
(resp. decreasing) sequence. We also show that such strings exist with
$\delta_{j-1} \mid \delta_j$ for $2 \le j \le m$. For any coprime integers $a$
and $D$ we find arbitrarily long strings of consecutive primes with bounded
gaps in the congruence class $a \bmod D$.


title:
Hall Effect in Neutron Star Crusts: Evolution, Endpoint and Dependence
  on Initial Conditions

abstract:
  We present new simulations of the evolution of axially symmetric magnetic
fields in neutron star crusts under the influence of the Hall effect and
subdominant Ohmic dissipation. In the Hall effect, differential rotation of the
electron fluid generates toroidal field by winding of the poloidal field. For
this reason, we focus on the influence of the initial choice of the electron
angular velocity profile on the subsequent and long term magnetic evolution.
Whereas previous simulations have generally chosen angular velocities
increasing outwards, corresponding to the lowest order Ohmic mode in the crust,
a more realistic choice is an angular velocity decreasing outwards,
corresponding to the MHD equilibrium field that is likely present at the time
of crust formation. We find that the evolution passes through three basic
phases. The early evolution is a response to the initial conditions. During the
second phase the field consists of poloidal and toroidal components which
eventually relax to an isorotation state in which the angular velocity of the
electrons becomes constant along poloidal magnetic field lines, causing Hall
evolution to saturate. In the third phase the field dissipates slowly while
maintaining isorotation. We discuss the implications for the long term field
structure and observable properties of isolated neutron stars.


title:
Geometric Constructions Underlying Relativistic Description of Spin on
  the Base of Non-Grassmann Vector-Like Variable

abstract:
  Basic notions of Dirac theory of constrained systems have their analogs in
differential geometry. Combination of the two approaches gives more clear
understanding of both classical and quantum mechanics, when we deal with a
model with complicated structure of constraints. In this work we describe and
discuss the spin fiber bundle which appeared in various mechanical models where
spin is described by vector-like variable.


title:
Influence of the enclosed fluid on the flow over a microstructured
  surface in the Cassie state

abstract:
  Analytical expressions for the flow field as well as for the effective slip
length of a shear flow over a surface with periodic rectangular grooves are
derived. The primary fluid is in the Cassie state with the grooves being filled
with a secondary immiscible fluid. The coupling of both fluids is reflected in
a locally varying slip distribution along the fluid-fluid interface, which
models the effect of the secondary fluid on the outer flow. The obtained
closed-form analytical expressions for the flow field and effective slip length
of the primary fluid explicitly contain the influence of the viscosities of the
two fluids as well as the magnitude of the local slip, which is a function of
the surface geometry. They agree well with results from numerical computations
of the full geometry. The analytical expressions allow investigating the
influence of the viscous stresses inside the secondary fluid for arbitrary
geometries of the rectangular grooves. For classic superhydrophobic surfaces,
the deviations in the effective slip length compared to the case of inviscid
gas flow are are pointed out. Another important finding with respect to an
accurate modeling of flow over microstructured surfaces is that the local slip
length of a grooved surface is anisotropic.


title:
Finite and infinite speed of propagation for porous medium equations
  with fractional pressure

abstract:
  We study a porous medium equation with fractional potential pressure: $$
\partial_t u= \nabla \cdot (u^{m-1} \nabla p), \quad p=(-\Delta)^{-s}u, $$ for
$m>1$, $0<s<1$ and $u(x,t)\ge 0$. To be specific, the problem is posed for
$x\in \mathbb{R}^N$, $N\geq 1$, and $t>0$. The initial data $u(x,0)$ is assumed
to be a bounded function with compact support or fast decay at infinity. We
establish existence of a class of weak solutions for which we determine
whether, depending on the parameter $m$, the property of compact support is
conserved in time or not, starting from the result of finite propagation known
for $m=2$. We find that when $m\in [1,2)$ the problem has infinite speed of
propagation, while for $m\in [2,\infty)$ it has finite speed of propagation.
Comparison is made with other nonlinear diffusion models where the results are
widely different.


title: Mixed Tate motives and the unit equation

abstract:
  This is the second installment in a sequence of articles devoted to "explicit
Chabauty-Kim theory" for the thrice punctured line. Its ultimate goal is to
construct an algorithmic solution to the unit equation whose halting will be
conditional on Goncharov's conjecture about exhaustion of mixed Tate motives by
motivic iterated integrals (refined somewhat with respect to ramification), and
on Kim's conjecture about the determination of integral points via $p$-adic
iterated integrals. In this installment we explain what this means while
developing basic tools for the construction of the algorithm. We also work out
an elaborate example, which goes beyond the cases that were understood before,
and allows us to verify Kim's conjecture in a range of new cases.


title: Interacting spin-2 fields in the Stueckelberg picture

abstract:
  We revisit and extend the `Effective field theory for massive gravitons'
constructed by Arkani-Hamed, Georgi and Schwartz in the light of recent
progress in constructing ghost-free theories with multiple interacting spin-2
fields. We show that there exist several dual ways of restoring gauge
invariance in such multi-gravity theories, find a generalised Fierz-Pauli
tuning condition relevant in this context and highlight subtleties in demixing
tensor and scalar modes. The generic multi-gravity feature of scalar mixing and
its consequences for higher order interactions are discussed. In particular we
show how the decoupling limit is qualitatively changed in theories of
interacting spin-2 fields. We relate this to dRGT (de Rham, Gabadadze, Tolley)
massive gravity, Hassan-Rosen bigravity and the multi-gravity constructions by
Hinterbichler and Rosen. As an additional application we show that EBI
(Eddington-Born-Infeld) bigravity and higher order generalisations thereof
possess ghost-like instabilities.


title:
Appearance of lines due to $K \neq 0$ oscillations in lattice vibrations
  spectra of paradibrombenzene nanoparticles

abstract:
  We measured low-frequency Raman spectra of paradibromobenzene nanoparticles.
With the reduction of the nanoparticles size frequencies of lines become
smaller and the doubling of the most intensive lines takes place. Additional
lines with increasing intensity appear in the spectrum. We did structure
calculations for nanoparticles by the method of molecular dynamics and obtained
histograms of lattice vibrations spectra by the Dyne's method. Calculations
have shown that doubling of lines is due to the appearance of nanoparticles
vibrations from borders of the Brillouin zone in the spectrum. Additional lines
are caused by vibrations with $K \neq 0$. They have mixed
orientation-translational character (that is evident from the eigenvectors of
vibrations) that affects intensity of these lines. Upon reduction of the
particles sizes change of vibration eigenvectors of molecules occurs $K \neq
0$. The greatest changes observed for a 20 cm$^{-1}$ paradibromobenzene line.


title: A UML-based Approach to Design Parallel and Distributed Applications

abstract:
  Parallel and distributed application design is a major area of interest in
the domain of high performance scientific and industrial computing. Over the
years, various approaches have been proposed to aid parallel program developers
to modeling their applications. In this paper it will be used some concepts
from agile development methodologies and Unified Modeling Language (UML) to
modeling parallel and distributed applications. The UML-based approach of this
paper describes through different artifacts and graphs the main flows of events
in the development of parallel and high performance applications. Here, we
presented three work flows to describe and to model our parallel program,
Domain Model, Design and Modeling and Test. All these phases of the development
software allow to programmers convert the requirements of the problem in a good
and efficient solution.


title: The Non-minimal Heterotic Pure Spinor String in a Curved Background

abstract:
  We study the non-minimal pure spinor string in a curved background. We find
that the minimal BRST invariance implies the existence of a non-trivial
stress-energy tensor for the minimal and non-minimal variables in the heterotic
curved background. We find constraint equations for the b ghost. We construct
the b ghost as a solution of these constraints.


title:
The autocorrelated noise filtering problem: the ISMC filter in a
  specific case of distance measuring

abstract:
  In a previous paper we were working on a electronic travel aid for blind
people based on infrared sensors. The signals coming from them are affected by
a great noise that also with the use of low pass filter cannot be clean well.
Motivated by the improvement of the system, in this paper we show a novelty way
to filter autocorrelated noise based on a probabilistic description of the
process. We apply an indexed semi-Markov model in order to filter the signal
coming from the infrared sensor. We conduce first of all a data analysis on the
noise in order to understand well its form. We give the general formulation of
the new ISMC filter and at last we compare the results with a particular kind
of Kalman filter for the specific stochastic application.


title:
Enhancing Light Harvesting by Hierarchical Functionally Graded
  Transparent Conducting Al-doped ZnO Nano- and Mesoarchitectures

abstract:
  A functionally graded Al-doped ZnO structure is presented which combines
conductivity, visible transparency and light scattering with mechanical
flexibility. The nano and meso-architecture, constituted by a hierarchical,
large surface area, mesoporous tree-like structure evolving in a compact layer,
is synthesized at room temperature and is fully compatible with plastic
substrates. Light trapping capability is demonstrated by showing up to 100%
improvement of light absorption of a low bandgap polymer employed as the active
layer.


title:
Investigating a mixed action approach for {\eta} and {\eta}' mesons in
  Nf=2+1+1 lattice QCD

abstract:
  We present results for a test of a mixed action approach with
Osterwalder-Seiler valence quarks on a Wilson twisted mass sea for the example
{\eta}, {\eta}' mesons. Flavour singlet pseudoscalar mesons obtain significant
contributions from disconnected diagrams and are, therefore, expected to be
particularly sensitive to mixed regularisations. We employ different procedures
for matching valence and sea quark actions and show that the results agree in
the continuum limit.


title: Quadratic Non-residues in Short Intervals

abstract:
  We use the Burgess bound and combinatorial sieve to obtain an upper bound on
the number of primes $p$ in a dyadic interval $[Q,2Q]$ for which a given
interval $[u+1,u+\psi(Q)]$ does not contain a quadratic non-residue modulo $p$.
The bound is nontrivial for any function $\psi(Q)\to\infty$ as $Q\to\infty$.
This is an analogue of the well known estimates on the smallest quadratic
non-residue modulo $p$ on average over primes $p$, which corresponds to the
choice $u=0$.


title:
Phenomenology of $\alpha_s$ at intermediate energy: the quark-hadron
  duality approach

abstract:
  In this contribution to the proceedings, we analyze the transition from
perturbative and non- perturbative QCD embedded in the coupling constant. In
the study of quark-hadron duality, we suggest that the realization of the
latter is related to the inclusion of non-perturbative effects at the level of
the coupling constant. The outcome of our analysis is a smooth transition from
perturba- tive to non-pertuperturbative QCD physics, embodied in the running of
the coupling constant at intermediate scales. While our approach is purely
perturbative, we compare our result to various non-perturbative schemes.


title: An inverse scattering formalism for STU supergravity

abstract:
  STU supergravity becomes an integrable system for solutions that effectively
only depend on two variables. This class of solutions includes the Kerr
solution and its charged generalizations that have been studied in the
literature. We here present an inverse scattering method that allows to
systematically construct solutions of this integrable system. The method is
similar to the one of Belinski and Zakharov for pure gravity but uses a
different linear system due to Breitenlohner and Maison and here requires some
technical modifications. We illustrate this method by constructing a
four-charge rotating solution from flat space. A generalization to other
set-ups is also discussed.


title:
On the integrability of the transfer dynamics of non-involutive
  Yang-Baxter maps

abstract:
  It is well known that, given a Yang-Baxter map, there is a hierarchy of
commuting transfer maps, which arise out of the consideration of initial value
problems. In this paper, we show that one can construct invariants of the
transfer maps corresponding to the $n$-periodic initial value problem on the
two-dimensional lattice, using the same generating function that is used to
produce invariants of the Yang-Baxter map itself. Moreover, we discuss the
Liouville integrability of these transfer maps. Finally, we consider
four-dimensional Yang-Baxter maps corresponding to the nonlinear Schr\"odinger
(NLS) equation and the derivative nonlinear Schr\"odinger (DNLS) equation which
have recently appeared. We show that the associated transfer maps are
completely integrable.


title:
Classical molecular dynamics investigations of biphenyl-based carbon
  nano membranes

abstract:
  Free-standing carbon nanomembranes (CNM) with molecular thickness and
macroscopic size are fascinating objects both for fundamental reasons and for
applications in nanotechnology. Although being made from simple and identical
precursors their internal structure is not fully known and hard to simulate due
to the large system size that is necessary to draw definite conclusions. We
performed large-scale classical molecular dynamics investigations of
biphenyl-based carbon nanomembranes. We show that one-dimensional graphene-like
stripes constitute a highly symmetric quasi one-dimensional ground state. This
state does not crosslink. Instead crosslinked structures are formed from highly
excited precursors with a sufficient amount of broken phenyls. The internal
structure of CNM is very likely a disordered metastable state which is formed
in the process of cooling.


title: On high moments of strongly diluted large Wigner random matrices

abstract:
  We consider a dilute version of the Wigner ensemble of nxn random matrices
$H$ and study the asymptotic behavior of their moments $M_{2s}$ in the limit of
infinite $n$, $s$ and $\rho$, where $\rho$ is the dilution parameter. We show
that in the asymptotic regime of the strong dilution, the moments $M_{2s}$ with
$s=\chi\rho$ depend on the second and the fourth moments of the random entries
$H_{ij}$ and do not depend on other even moments of $H_{ij}$. This fact can be
regarded as an evidence of a new type of the universal behavior of the local
eigenvalue distribution of strongly dilute random matrices at the border of the
limiting spectrum. As a by-product of the proof, we describe a new kind of
Catalan-type numbers related with the tree-type walks.


title:
DFT-D Investigation of the Interaction Between Ir(III) Based
  Photosensitizers and Small Silver Clusters Ag$_n$ ($n$=2-20, 92)

abstract:
  A dispersion-corrected density functional theory study of the photosensitizer
[Ir(ppy)$_2$(bpy)]$^+$ and its derivatives bound to silver clusters Ag$_n$
($n$=2-20, 92) is performed. The goal is to provide a new system-specific set
of $C_{\rm 6}^{}$ interaction parameters for Ag and Ir atoms. To this end a
QM:QM scheme is employed using the PBE functional and RPA as well as MP2
calculation as a reference. The obtained $C_{\rm 6}^{}$ coefficients were
applied to calculate dissociation curves of selected IrPS-Ag$_n$ complexes and
binding energies of derivatives containing oxygen and sulphur as heteroatoms in
the ligands. Comparing different $C_{\rm 6}^{}$ parameters it is concluded that
RPA-based dispersion correction produces binding energies close to standard D2
and D3 models, whereas MP2-derived parameters overestimate these energies.


title: Quenched Invariance Principle for the Random Walk on the Penrose Tiling

abstract:
  We consider the simple random walk on the graph corresponding to a Penrose
tiling. We prove that the path distribution of the walk converges weakly to
that of a non-degenerate Brownian motion for almost every Penrose tiling with
respect to the appropriate invariant measure on the set of tilings. Our tool
for this is the corrector method.


title: Ages of young stars

abstract:
  Determining the sequence of events in the formation of stars and planetary
systems and their time-scales is essential for understanding those processes,
yet establishing ages is fundamentally difficult because we lack direct
indicators. In this review we discuss the age challenge for young stars,
specifically those less than ~100 Myr old. Most age determination methods that
we discuss are primarily applicable to groups of stars but can be used to
estimate the age of individual objects. A reliable age scale is established
above 20 Myr from measurement of the Lithium Depletion Boundary (LDB) in young
clusters, and consistency is shown between these ages and those from the upper
main sequence and the main sequence turn-off -- if modest core convection and
rotation is included in the models of higher-mass stars. Other available
methods for age estimation include the kinematics of young groups, placing
stars in Hertzsprung-Russell diagrams, pulsations and seismology, surface
gravity measurement, rotation and activity, and lithium abundance. We review
each of these methods and present known strengths and weaknesses. Below ~20
Myr, both model-dependent and observational uncertainties grow, the situation
is confused by the possibility of age spreads, and no reliable absolute ages
yet exist. The lack of absolute age calibration below 20 Myr should be borne in
mind when considering the lifetimes of protostellar phases and circumstellar
material.


title:
Weak periodic solutions of $x\ddot{x} + 1 = 0$ and the harmonic balance
  method

abstract:
  We prove that the differential equation $x\ddot{x} + 1 = 0$ has continuous
weak periodic solutions and compute their periods. Then, we use the Harmonic
Balance Method until order six to approach these periods and to illustrate how
the sharpness of the method increases with the order. Our computations rely on
the Gr\"obner basis method.


title: S-curves in Polynomial External Fields

abstract:
  Curves in the complex plane that satisfy the S-property were first introduced
by Stahl and they were further studied by Gonchar and Rakhmanov in the 1980s.
Rakhmanov recently showed the existence of curves with the S-property in a
harmonic external field by means of a max-min variational problem in
logarithmic potential theory. This is done in a fairly general setting, which
however does not include the important special case of an external field given
by the real part of a polynomial of degree greater than or equal to 2. In this
paper we give a detailed proof of the existence of a curve with the S-property
in the external field given by the real part of a polynomial V, within the
collection of all curves that connect two or more pre-assigned directions at
infinity in which the real part of V grows. Our method of proof is very much
based on the works of Rakhmanov on the max-min variational problem and of
Mart\'inez-Finkelshtein and Rakhmanov on critical measures.


title:
A note on arbitrage, approximate arbitrage and the fundamental theorem
  of asset pricing

abstract:
  We provide a critical analysis of the proof of the fundamental theorem of
asset pricing given in the paper "Arbitrage and approximate arbitrage: the
fundamental theorem of asset pricing" by B. Wong and C.C. Heyde (Stochastics,
2010) in the context of incomplete It\^o-process models. We show that their
approach can only work in the known case of a complete financial market model
and give an explicit counterexample.


title: Multi-wavelength Raman scattering of nanostructured Al-doped zinc oxide

abstract:
  In this work we present a detailed Raman scattering investigation of zinc
oxide and aluminum-doped zinc oxide (AZO) films characterized by a variety of
nanoscale structure and morphology and synthesized by pulsed laser deposition
(PLD) under different oxygen pressure conditions. The comparison of Raman data
for pure ZnO and AZO films with similar morphology at the nano/mesoscale allows
to investigate the relation between Raman features (peak or band positions,
width, relative intensity) and material properties such as local structural
order, stoichiometry and doping. Moreover Raman measurements with three
different excitation lines (532, 457 and 325 nm) point out a strong correlation
between vibrational and electronic properties. This observation confirms the
relevance of a multi-wavelength Raman investigation to obtain a complete
structural characterization of advanced doped oxide materials.


title:
Spin transistor operation driven by the Rashba spin-orbit coupling in
  the gated nanowire

abstract:
  The theoretical description has been proposed for the operation of the spin
transistor in the gate-controlled InAs nanowire. The calculated current-voltage
characteristics show that the current flowing from the source (spin injector)
to the drain (spin detector) oscillates as a function of the gate voltage,
which results from the precession of the electron spin caused by the Rashba
spin-orbit interaction in the vicinity of the gate. We have studied two
operation modes of the spin transistor: (A) the ideal operation mode with the
full spin polarization of electrons in the contacts, the zero temperature, and
the single conduction channel corresponding to the lowest-energy subband of the
transverse motion and (B) the more realistic operation mode with the partial
spin polarization of the electrons in the contacts, the room temperature, and
the conduction via many transverse subbands taken into account. For mode (A)
the spin-polarized current can be switched on/off by the suitable tuning of the
gate voltage, for mode (B) the current also exhibits the pronounced
oscillations but with no-zero minimal values. The computational results
obtained for mode (B) have been compared with the recent experimental data and
a good agreement has been found.


title:
Approximation of the invariant law of SPDEs: error analysis using a
  Poisson equation for a full-discretization scheme

abstract:
  We study the long-time behavior of fully discretized semilinear SPDEs with
additive space-time white noise, which admit a unique invariant probability
measure $\mu$. We show that the average of regular enough test functions with
respect to the (possibly non unique) invariant laws of the approximations are
close to the corresponding quantity for $\mu$.
  More precisely, we analyze the rate of the convergence with respect to the
different discretization parameters. Here we focus on the discretization in
time thanks to a scheme of Euler type, and on a Finite Element discretization
in space.
  The results rely on the use of a Poisson equation; we obtain that the rates
of convergence for the invariant laws are given by the weak order of the
discretization on finite time intervals: order $1/2$ with respect to the
time-step and order $1$ with respect to the mesh-size.


title: Driving interconnected networks to supercriticality

abstract:
  Networks in the real world do not exist as isolated entities, but they are
often part of more complicated structures composed of many interconnected
network layers. Recent studies have shown that such mutual dependence makes
real networked systems potentially exposed to atypical structural and dynamical
behaviors, and thus there is a urgent necessity to better understand the
mechanisms at the basis of these anomalies. Previous research has mainly
focused on the emergence of atypical properties in relation with the moments of
the intra- and inter-layer degree distributions. In this paper, we show that an
additional ingredient plays a fundamental role for the possible scenario that
an interconnected network can face: the correlation between intra- and
inter-layer degrees. For sufficiently high amounts of correlation, an
interconnected network can be tuned, by varying the moments of the intra- and
inter-layer degree distributions, in distinct topological and dynamical
regimes. When instead the correlation between intra- and inter-layer degrees is
lower than a critical value, the system enters in a supercricritical regime
where dynamical and topological phases are not longer distinguishable.


title:
Engineered spatial inversion symmetry breaking in an oxide
  heterostructure built from isosymmetric room-temperature magnetically ordered
  components

abstract:
  The oxide heterostructure [(YFeO$_3$)$_5$(LaFeO$_3$)$_5$]$_{40}$, which is
magnetically ordered and piezoelectric at room temperature, has been
constructed from two weak ferromagnetic AFeO$_3$ perovskites with different A
cations using RHEED-monitored pulsed laser deposition. The polarisation arises
through the removal of inversion centres present within the individual AFeO$_3$
components. This symmetry reduction is a result of combining ordering on the A
site, imposed by the periodicity of the grown structure, with appropriate
orientations of the octahedral tilting characteristic of the perovskite units
themselves, according to simple symmetry-controlled rules. The polarisation is
robust against A site interdiffusion between the two layers which produces a
sinusoidally modulated occupancy that retains the coupling of translational and
point symmetries required to produce a polar structure. Magnetization and
magneto-optical Kerr rotation measurements show that the heterostructure's
magnetic structure is similar to that of the individual components. Evidence of
the polarity was obtained from second harmonic generation and piezoelectric
force microscopy measurements. Modeling of the piezoresponse allows extraction
of $d_{33}$ (approximately 10 pC/N) of the heterostructure, which is in
agreement with DFT calculations.


title: Mobile and remote inertial sensing with atom interferometers

abstract:
  The past three decades have shown dramatic progress in the ability to
manipulate and coherently control the motion of atoms. This exquisite control
offers the prospect of a new generation of inertial sensors with unprecedented
sensitivity and accuracy, which will be important for both fundamental and
applied science. In this article, we review some of our recent results
regarding the application of atom interferometry to inertial measurements using
compact, mobile sensors. This includes some of the first interferometer
measurements with cold $^{39}$K atoms, which is a major step toward achieving a
transportable, dual-species interferometer with rubidium and potassium for
equivalence principle tests. We also discuss future applications of this
technology, such as remote sensing of geophysical effects, gravitational wave
detection, and precise tests of the weak equivalence principle in Space.


title:
The Random Matrix Regime of Maronna's M-estimator with elliptically
  distributed samples

abstract:
  This article demonstrates that the robust scatter matrix estimator
$\hat{C}_N\in {\mathbb C}^{N\times N}$ of a multivariate elliptical population
$x_1,\ldots,x_n\in {\mathbb C}^N$ originally proposed by Maronna in 1976, and
defined as the solution (when existent) of an implicit equation, behaves
similar to a well-known random matrix model in the limiting regime where the
population $N$ and sample $n$ sizes grow at the same speed. We show precisely
that $\hat{C}_N\in{\mathbb C}^{N\times N}$ is defined for all $n$ large with
probability one and that, under some light hypotheses, $\Vert
\hat{C}_N-\hat{S}_N\Vert\to 0$ almost surely in spectral norm, where
$\hat{S}_N$ follows a classical random matrix model. As a corollary, the
limiting eigenvalue distribution of $\hat{C}_N$ is derived. This analysis finds
applications in the fields of statistical inference and signal processing.


title:
How well do third-order aperture mass statistics separate E- and
  B-modes?

abstract:
  With 3rd-order statistics of gravitational shear it will be possible to
extract valuable cosmological information from ongoing and future weak lensing
surveys which is not contained in standard 2nd-order statistics, due to the
non-Gaussianity of the shear field. Aperture mass statistics are an appropriate
choice for 3rd-order statistics due to their simple form and their ability to
separate E- and B-modes of the shear. However, it has been demonstrated that
2nd-order aperture mass statistics suffer from E-/B-mode mixing because it is
impossible to reliably estimate the shapes of close pairs of galaxies. This
finding has triggered developments of several new 2nd-order statistical
measures for cosmic shear. Whether the same developments are needed for
3rd-order shear statistics is largely determined by how severe this E-/B-mixing
is for 3rd-order statistics. We test 3rd-order aperture mass statistics against
E-/B-mode mixing, and find that the level of contamination is well-described by
a function of $\theta/\theta_{\rm min}$, with $\theta_{\rm min}$ being the
cut-off scale. At angular scales of $\theta > 10 \;\theta_{\rm min}$, the
decrease in the E-mode signal due to E-/B-mode mixing is smaller than 1
percent, and the leakage into B-modes is even less. For typical small-scale
cut-offs this E-/B-mixing is negligible on scales larger than a few arcminutes.
Therefore, 3rd-order aperture mass statistics can safely be used to separate E-
and B-modes and infer cosmological information, for ground-based surveys as
well as forthcoming space-based surveys such as Euclid.


title:
Testing cosmological models with the brightness profile of distant
  galaxies

abstract:
  This work uses observed galaxy surface brightness profiles at high redshifts
to determine the cosmological model best suited to interpret these
observations. Theoretical predictions of galactic surface brightness profiles
are compared to observational data in two cosmological models, $\Lambda$CDM and
Einstein-de Sitter, to calculate the evolutionary effects of different
spacetime geometries in these profiles in order to try to find out if the
available data is capable of indicating the cosmology that best represents
actual galactic brightness profiles observations. Starting from the connection
between the angular diameter distance and the galactic surface brightness as
advanced by Ellis and Perry (1979), we derived scaling relations using data
from the Virgo galactic cluster in order to obtain theoretical predictions of
the galactic surface brightness modeled by the Sersic profile at redshift
values equal to a sample of galaxies in the range $1.5 \lesssim z \lesssim 2.3$
composed by a subset of Szomoru's et al. (2012) observations. We then
calculated the difference between theory and observation in order to determine
the changes required in the effective radius and effective surface brightness
so that the observed galaxies may evolve to have features similar to the Virgo
cluster ones. Our results show that within the data uncertainties of this
particular subset of galaxies it is not possible to distinguish which of the
two cosmological models used here predicts theoretical curves in better
agreement with the observed ones, that is, one cannot identify a clear and
detectable difference in galactic evolution incurred by the galaxies of our
sample when applying each cosmology. We also concluded that the Sersic index
$n$ does not seem to play a significant effect in the evolution of these
galaxies.


title: Photonic band gap of a graphene-embedded quarter-wave stack

abstract:
  Here, we present a mechanism for tailoring the photonic band structure of a
quarter-wave stack without changing its physical periods by embedding
conductive sheets. Graphene is utilized and studied as a realistic,
two-dimensional conductive sheet. In a graphene-embedded quarter-wave stack,
the synergic actions of Bragg scattering and graphene conductance contributions
open photonic gaps at the center of the reduced Brillouin zone, that
nonexistent in conventional quarter-wave stacks. Such photonic gaps show giant,
loss-independent density of optical states at the fixed lower-gap-edges, of
even-multiple characteristic frequency of the quarter-wave stack. The novel
conductive sheets induced photonic gaps provide a new platform for the
enhancement of light-matter interactions.


title: Group Coding with Complex Isometries

abstract:
  We investigate group coding for arbitrary finite groups acting linearly on a
vector space. These yield robust codes based on real or complex matrix groups.
We give necessary and sufficient conditions for correct subgroup decoding using
geometric notions of minimal length coset representatives. The infinite family
of complex reflection groups G(r,1,n) produces effective codes of arbitrarily
large size that can be decoded in relatively few steps.


title: Large deviations for the Ornstein-Uhlenbeck process with shift

abstract:
  We investigate the large deviation properties of the maximum likelihood
estimators for the Ornstein-Uhlenbeck process with shift. We estimate
simultaneously the drift and shift parameters. On the one hand, we establish a
large deviation principle for the maximum likelihood estimates of the drift and
shift parameters. Surprisingly, we find that the drift estimator shares the
same large deviation principle as the one previously established for the
Ornstein-Uhlenbeck process without shift. Sharp large deviation principles are
also provided. On the other hand, we show that the maximum likelihood estimator
of the shift parameter satisfies a large deviation principle with a very
unusual implicit rate function.


title: Deformation effects in the Coulomb breakup of 31Ne

abstract:
  We present a fully quantum mechanical theory to study the effects of
deformation on various reaction observables in the Coulomb breakup of neutron
rich exotic medium mass nuclei on heavy targets within the framework of finite
range distorted wave Born approximation by using a deformed Woods-Saxon
potential. As an application of this theory, we calculate the one-neutron
removal cross section, relative energy spectra, parallel momentum distributions
and angular distributions in the breakup of 31Ne on Pb and Au targets at 234
MeV/u. We suggest ways to put constraints on the large uncertainty in the
one-neutron separation energy of 31Ne and also argue that if 31Ne is indeed a
halo nucleus then it should be a deformed one.


title: Moments of structure functions for $N_f=2$ near the physical point

abstract:
  We report on our on-going study of the lower moments of iso-vector polarised
and unpolarised structure functions, $g_A$ and $\langle x\rangle_{u-d}$,
respectively, and the iso-vector scalar and tensor charge, for $N_f=2$
non-perturbatively improved clover fermions. With pion masses which go down to
about 150 MeV, we investigate finite volume effects and excited state
contributions.


title:
Bimodality Phenomenon in Finite and Infinite Systems Within an Exactly
  Solvable Statistical Model

abstract:
  We present a few explicit counterexamples to the widely spread belief about
an exclusive role of the bimodal nuclear fragment size distributions as the
first order phase transition signal. In thermodynamic limit the bimodality may
appear at the supercritical temperatures due to the negative values of the
surface tension coefficient. Such a result is found within a novel exactly
solvable formulation of the simplified statistical multifragmentation model
based on the virial expansion for a system of the nuclear fragments of all
sizes. The developed statistical model corresponds to the compressible nuclear
liquid with the tricritical endpoint located at one third of the normal nuclear
density. Its exact solution for finite volumes demonstrates the bimodal
fragment size distribution right inside the finite volume analog of a gaseous
phase. These counterexamples clearly demonstrate the pitfalls of Hill approach
to phase transitions in finite systems.


title: Search for time modulations in the decay rate of 40K and 232Th

abstract:
  Time modulations at per mil level have been reported to take place in the
decay constant of about 15 nuclei with period of one year (most cases) but also
of about one month or one day. In this paper we give the results of the
activity measurement of a 40K source and a 232Th one. The two experiments have
been done at the Gran Sasso Laboratory during a period of about 500 days, above
ground (40K) and underground (232Th) with a target sensitivity of a few parts
over 10^5. We also give the results of the activity measurement at the time of
the X-class solar flares which took place in May 2013. Briefly, our
measurements do not show any evidence of unexpected time dependence in the
decay rate of 40K and 232Th.


title:
Optical Counterparts of the X-ray Sources Hercules X-1 and Cygnus X-2:
  Genuine and Fake

abstract:
  This paper is a refutation of two researches by A. N. Sazonov on HZ Her and
V1341 Cyg published in the Astronomy Reports (Vol. 55, p.p.142 and 230) in
2011. We analyzed his photometry along with other data collected in the
literature and Internet. The observations of Sazonov are fake and are not
related to real stars. Conclusions contained in his papers do not constitute
any scientific value. We describe the properties of these two objects, derived
from real observations. The following papers based on the same fake
observations and published by him in astro-ph arXiv:0904.0168, arXiv:0907.3822,
arXiv:0912.0706, arXiv:1011.3980, and arXiv:1102.0379 are also inauthentic.


title: Phase retrieval from low-rate samples

abstract:
  The paper considers the phase retrieval problem in N-dimensional complex
vector spaces. It provides two sets of deterministic measurement vectors which
guarantee signal recovery for all signals, excluding only a specific subspace
and a union of subspaces, respectively. A stable analytic reconstruction
procedure of low complexity is given. Additionally it is proven that signal
recovery from these measurements can be solved exactly via a semidefinite
program. A practical implementation with 4 deterministic diffraction patterns
is provided and some numerical experiments with noisy measurements complement
the analytic approach.


title: The Nuclear Physics of Neutron Stars

abstract:
  We explore the unique and fascinating structure of neutron stars. Although
neutron stars are of interest in many areas of Physics, our aim is to provide
an intellectual bridge between Nuclear Physics and Astrophysics. We argue
against the naive perception of a neutron star as a uniform assembly of
neutrons packed to enormous densities. Rather, by focusing on the many exotic
phases that are speculated to exist in a neutron star, we show how the reality
is different and far more interesting.


title: Evolution of the Fermi surface topology in doped 122 iron pnictides

abstract:
  Based on the minimum two-orbital model and the phase diagram recently
proposed by Tai et al.\ (Europhys. Lett. \textbf{103}, 67001(2013)) for both
electron- and hole-doped 122 iron-based superconducting compounds, we use the
Bogoliubov-de Gennes equations to perform a comprehensive investigation of the
evolution of the Fermi surface (FS) topology in the presence of the collinear
spin-density-wave (SDW) order as the doping is changed. In the parent compound,
the ground state is the SDW order, where the FS is not completely gapped, and
two types of Dirac cones, one electron-doped and the other hole-doped emerge in
the magnetic Brillouin zone. Our findings are qualitatively consistent with
recent angle-resolved photoemission spectroscopy and magneto-resistivity
measurements. We also examine the FS evolution of both electron- and hole-doped
cases and compare them with measurements, as well as with those obtained by
other model Hamiltonians.


title:
Search for a diffuse flux of astrophysical muon neutrinos with the
  IceCube 59-string configuration

abstract:
  A search for high-energy neutrinos was performed using data collected by the
IceCube Neutrino Observatory from May 2009 to May 2010, when the array was
running in its 59-string configuration. The data sample was optimized to
contain muon neutrino induced events with a background contamination of
atmospheric muons of less than 1%. These data, which are dominated by
atmospheric neutrinos, are analyzed with a global likelihood fit to search for
possible contributions of prompt atmospheric and astrophysical neutrinos,
neither of which have yet been identified. Such signals are expected to follow
a harder energy spectrum than conventional atmospheric neutrinos. In addition,
the zenith angle distribution differs for astrophysical and atmospheric
signals. A global fit of the reconstructed energies and directions of observed
events is performed, including possible neutrino flux contributions for an
astrophysical signal and atmospheric backgrounds as well as systematic
uncertainties of the experiment and theoretical predictions. The best fit
yields an astrophysical signal flux for $\nu_\mu + \bar\nu_\mu $ of $E^2 \cdot
\Phi (E) = 0.25 \cdot 10^{-8} \textrm{GeV} \textrm{cm}^{-2} \textrm{s}^{-1}
\textrm{sr}^{-1}$, and a zero prompt component. Although the sensitivity of
this analysis for astrophysical neutrinos surpasses the Waxman and Bahcall
upper bound, the experimental limit at 90% confidence level is a factor of 1.5
above at a flux of $E^2 \cdot \Phi (E) = 1.44 \cdot 10^{-8} \textrm{GeV}
\textrm{cm}^{-2} \textrm{s}^{-1} \textrm{sr}^{-1}$.


title: Estimation of the characteristic exponent of stable laws

abstract:
  A statistical algorithm for estimating the characteristic parameter $\alpha$
of the stable law is presented and the estimate of its quadratic deviation is
obtained in the paper. This algorithm is applied in the description of the
fluctuation induced flux in the edge region of the plasma cord.


title:
Equilibria with a nontrivial nodal set and the dynamics of parabolic
  equations on symmetric domains

abstract:
  We consider the Dirichlet problem u_t &= \Delta u + f(x, u, \nabla u)+ h(x,
t),& \qquad &(x, t) \in \Omega \times (0, \infty), u &= 0, & \qquad &(x, t) \in
\partial\Omega \times (0, \infty), on a bounded domain $\Omega \subset
\mathbb{R}^N$. The domain and the nonlinearity $f$ are assumed to be invariant
under the reflection about the $x_1$-axis, and the function $h$ accounts for a
nonsymmetric decaying perturbation: $h(\cdot, t)\to 0$ as $t\to\infty$. In one
of our main theorems, we prove the asymptotic symmetry of each bounded positive
solution $u$. The novelty of this result is that the asymptotic symmetry is
established even for solutions that are not assumed uniformly positive. In
particular, some equilibria of the limit time-autonomous problem (the problem
with $h\equiv 0$) with a nontrivial nodal set may occur in the $\omega$-limit
set of $u$ and this prevents one from applying common techniques based on the
method of moving hyperplanes. The goal of our second main theorem is to
classify the positive entire solutions of the time-autonomous problem. We prove
that if $U$ is a positive entire solution, then one of the following applies:
(i) for each $t\in \mathbb{R}$, $U(\cdot,t)$ is even in $x_1$ and decreasing in
$x_1>0$, (ii) $U$ is an equilibrium, (iii) $U$ is a connecting orbit from an
equilibrium with a nontrivial nodal set to a set consisting of functions which
are even in $x_1$ and decreasing in $x_1>0$, (iv) is a heteroclinic connecting
orbit between two equilibria with a nontrivial nodal set.


title: Invariance properties of the Monge-Kantorovich mass transport problem

abstract:
  We consider the multidimensional Monge-Kantrovich transport problem in an
abstract setting. Our main results state that if a cost function and marginal
measures are invariant by a family of transformations, then a solution of the
Kantrovich relaxation problem and a solution of its dual can be chosen so that
they are invariant under the same family of transformations. This provides a
new tool to study and analyze the support of optimal transport plans and
consequently to scrutinize the Monge problem. Birkhoff's Ergodic theorem is an
essential tool in our analysis.


title:
A characteristic oxygen abundance gradient in galaxy disks unveiled with
  CALIFA

abstract:
  We present the largest and most homogeneous catalog of HII regions and
associations compiled so far. The catalog comprises more than 7000 ionized
regions, extracted from 306 galaxies observed by the CALIFA survey. We describe
the procedures used to detect, select, and analyse the spectroscopic properties
of these ionized regions. In the current study we focus on the characterization
of the radial gradient of the oxygen abundance in the ionized gas, based on the
study of the deprojected distribution of HII regions. We found that all
galaxies without clear evidence of an interaction present a common gradient in
the oxygen abundance, with a characteristic slope of alpha = -0.1 dex/re
between 0.3 and 2 disk effective radii, and a scatter compatible with random
fluctuations around this value, when the gradient is normalized to the disk
effective radius. The slope is independent of morphology, incidence of bars,
absolute magnitude or mass. Only those galaxies with evidence of interactions
and/or clear merging systems present a significant shallower gradient,
consistent with previous results. The majority of the 94 galaxies with H ii
regions detected beyond 2 disk effective radii present a flattening in the
oxygen abundance. The flattening is statistically significant. We cannot
provide with a conclusive answer regarding the origin of this flattening.
However, our results indicate that its origin is most probably related to the
secular evolution of galaxies. Finally, we find a drop/truncation of the oxygen
abundance in the inner regions for 26 of the galaxies. All of them are
non-interacting, mostly unbarred, Sb/Sbc galaxies. This feature is associated
with a central star-forming ring, which suggests that both features are
produced by radial gas flows induced by resonance processes.


title:
Superdiffusion of 2D Yukawa liquids due to a perpendicular magnetic
  field

abstract:
  Stochastic transport of a two-dimensional (2D) dusty plasma liquid with a
perpendicular magnetic field is studied. Superdiffusion, which is a type of
non-Fickian transport, is found to occur especially at higher magnetic fields
with $\beta$ of order unity. Here, $\beta = \omega_c / \omega_{pd}$ is the
ratio of the cyclotron and plasma frequencies for dust particles. The
mean-square displacement ${\rm {MSD}} = 4 D_\alpha t^\alpha$ is found to have
an exponent $\alpha > 1$, indicating superdiffusion, with $\alpha$ increasing
monotonically to $1.1$ as $\beta$ increases to unity. The 2D Langevin molecular
dynamics simulation used here also reveals that another indicator of random
particle motion, the velocity autocorrelation function (VACF), has a dominant
peak frequency $\omega_{peak}$ that empirically obeys $\omega_{peak}^2 =
\omega_c^2+ \omega_{pd}^2/4$.


title:
Higher harmonics of azimuthal anisotropy in relativistic heavy ion
  collisions in HYDJET++ model

abstract:
  The LHC data on azimuthal anisotropy harmonics from PbPb collisions at
center-of-mass energy 2.76 TeV per nucleon pair are analyzed and interpreted in
the framework of the HYDJET++ model. The cross-talk of elliptic $v_2$ and
triangular $v_3$ flow in the model generates both even and odd harmonics of
higher order. Comparison with the experimental data shows that this mechanism
is able to reproduce the $p_{\rm T}$ and centrality dependencies of
quadrangular flow $v_4$, and also the basic trends for pentagonal $v_5$ and
hexagonal $v_6$ flows.


title:
Degradation of alumina and zirconia toughened alumina (ZTA) hip
  prostheses tested under microseparation conditions in a shock device

abstract:
  This paper considers the degradation of alumina and zirconia toughened
alumina vs. alumina for hip implants. The materials are as assumed to be load
bearing surfaces subjected to shocks in wet conditions. The load is a peak of
force; 9 kN was applied over 15 ms at 2 Hz for 800,000 cycles. The volumetric
wear and roughness are lower for ZTA than for alumina. The long ZTA ageing did
not seem to have a direct influence on the roughness. The ageing increased the
wear volumes of ZTA and it was found to have a higher wear resistance compared
to alumina.


title: On the cohomology and their torsion of real toric objects

abstract:
  In this paper, we do the two things.
  1. We present a formula to compute the rational cohomology ring of a real
topological toric manifold, and thus that of a small cover or a real toric
manifold, which implies the formula of Suciu and Trevisan. Furthermore, the
formula also works for other coefficient $\mathbb{Z}_q =
\mathbb{Z}/q\mathbb{Z}$, where $q$ is a positive odd integer.
  2. We construct infinitely many real toric manifolds and small covers whose
integral cohomology have a $q$-torsion for any positive odd integer $q$.


title: On the models of submaximal symmetric rank 2 distributions in 5D

abstract:
  There are two different approaches to exhibit submaximal symmetric rank 2
distributions in 5D via Monge equations. In this note we establish precise
relations between these models, find auto-equivalences of one family, and treat
two special equations.


title: Isovector pairing in a formalism of quartets for N=Z nuclei

abstract:
  We describe the ground state of the isovector pairing Hamiltonian in
self-conjugate nuclei by a product of collective quartets of different
structure built from two neutrons and two protons coupled to total isospin T=0.
The structure of the collective quartets is determined by an iterative
variational procedure based on a sequence of diagonalizations of the pairing
Hamiltonian in spaces of reduced size. The accuracy of the quartet model is
tested for N=Z nuclei carrying valence nucleons outside the $^{16}$O,
$^{40}$Ca, and $^{100}$Sn cores. The comparison with the exact solutions of the
pairing Hamiltonian, obtained by shell model diagonalization, shows that the
quartet model is able to describe the isovector pairing energy with very high
precision. The predictions of the quartet model are also compared to those of
the simpler quartet condensation model in which all the collective quartets are
assumed to be identical.


title:
Causal hydrodynamics from kinetic theory by doublet scheme in
  renormalization-group method

abstract:
  We develop a general framework in the renormalization-group (RG) method for
extracting a mesoscopic dynamics from an evolution equation by incorporating
some excited (fast) modes as additional components to the invariant manifold
spanned by zero modes. We call this framework the doublet scheme. The validity
of the doublet scheme is first tested and demonstrated by taking the Lorenz
model as a simple three-dimensional dynamical system; it is shown that the
two-dimensional reduced dynamics on the attractive manifold composed of the
would-be zero and a fast modes are successfully obtained in a natural way. We
then apply the doublet scheme to construct causal hydrodynamics as a mesoscopic
dynamics of kinetic theory, i.e., the Boltzmann equation, in a systematic
manner with no ad-hoc assumption. It is found that our equation has the same
form as thirteen-moment causal hydrodynamic equation, but the microscopic
formulae of the transport coefficients and relaxation times are different. In
fact, in contrast to the Grad equation, our equation leads to the same
expressions for the transport coefficients as given by the Chapman-Enskog
expansion method and suggests novel formulae of the relaxation times expressed
in terms of relaxation functions which allow a natural physical interpretation
of the relaxation times. Furthermore, our theory nicely gives the explicit
forms of the distribution function and the thirteen hydrodynamic variables in
terms of the linearized collision operator, which in turn clearly suggest the
proper ansatz forms of them to be adopted in the method of moments.