title:
Calculation of excitation function of some structural fusion material
  for (n,p) reactions up to 25 MeV

abstract:
  Fusion serves an inexhaustible energy for humankind. Although there have been
significant research and development studies on the inertial and magnetic
fusion reactor technology, Furthermore, there are not radioactive nuclear waste
problems in the fusion reactors. In this study, (n, p) reactions for some
structural fusion materials such as 27Al, 51V, 52Cr, 55Mn and 56Fe have been
investigated. The new calculations on the excitation functions of 27 Al(n,p) 27
Mg, 51 V(n,p) 51 Ti, 52 Cr(n,p) 52 V, 55 Mn(n,p) 55 Cr and 56 Fe(n,p) 56 Mn
reactions have been carried out up to 30 MeV incident neutron energy.
Statistical model calculations, based on the Hauser-Feshbach formalism, have
been carried out using the TALYS-1.0 and were compared with available
experimental data in the literature and with ENDF/B-VII, T=300k; JENDL-3.3,
T=300k and JEFF3.1, T=300k evaluated libraries .


title: Vector valued formal Fourier-Jacobi series

abstract:
  H. Aoki showed that any symmetric formal Fourier-Jacobi series for the
symplectic group Sp_2(Z) is the Fourier-Jacobi expansion of a holomorphic
Siegel modular form. We prove an analogous result for vector valued symmetric
formal Fourier-Jacobi series, by combining Aoki's theorem with facts about
vector valued modular forms. Recently, this result was also proved
independently by M. Raum using a different approach. As an application, by
means of work of W. Zhang, modularity results for special cycles of codimension
2 on Shimura varieties associated to orthogonal groups can be derived.


title:
Transport and STM studies of hyperbolic surface states of topological
  insulators

abstract:
  Motivated by the transmission of topological surface states through atomic
scale steps, we study the transport of gapless Dirac fermions on hyperbolic
surfaces. We confirm that, independent of the curvature of the hyperbolae and
the sharpness of the corners, no backward scattering takes place and
transmission of the topological surface states is completely independent of the
geometrical shape (within the hyperbolic model) of the surface. The density of
states of the electrons, however, shows a dip at concave step edges which can
be measured by an STM tip. We also show that the tunneling conductance measured
by a polarized scanning tunneling probe exhibits an unconventional dependence
on the polar and azimuthal angles of the magnetization of the tip as a function
of the curvature of the surface and the sharpness of the edge.


title:
Optimistic limits of colored Jones polynomials and complex volumes of
  hyperbolic links

abstract:
  The optimistic limit is the mathematical formulation of the classical limit
which is a physical method to expect the actual limit by using saddle point
method of certain potential function. The original optimistic limit of the
Kashaev invariant was formulated by Yokota, and a modified formulation was
suggested by the author and others. The modified version was easier to handle
and more combinatorial than the original one.
  On the other hand, it was known that the Kashaev invariant coincides with the
evaluation of the colored Jones polynomial at the certain root of unity. The
optimistic limit of the colored Jones polynomial was also formulated by the
author and others, but it was so complicated and needed many unnatural
assumptions.
  In this article, we suggest a modified optimistic limit of the colored Jones
polynomial, following the idea of the modified optimistic limit of the Kashaev
invariant, and show that it determines the complex volume of a hyperbolic link.
Furthermore, we show that this optimistic limit coincides with the optimistic
limit of the Kashaev invariant modulo $4\pi^2$. This new version is easier to
handle and more combinatorial than the old version, and has many advantages
than the modified optimistic limit of the Kashaev invariant. Because of these
advantages, several applications have already appeared and more are in
preparation now.


title: Time dependent magnetic field effects on the $\pm J$ Ising model

abstract:
  Nonequilibrium phase transition properties of the $\pm J$ Ising model under a
time dependent oscillating perturbation are investigated within the framework
of effective field theory for a two-dimensional square lattice. After a
detailed analysis, it is found that the studied system exhibits unusual and
interesting behaviors such as reentrant phenomena, and the competition between
ferromagnetic and antiferromagnetic exchange interactions gives rise to
destruct the dynamic first order phase transitions as well as dynamic
tricritical points. Furthermore, according to N\'{e}el nomenclature, the
magnetization profiles have been found to obey Q-type, L-type and P-type
classification schemes under certain conditions. Finally, it is observed that
the treatment of critical percolation with applied field amplitude strongly
depends upon the frequency of time varying external field.


title:
On the Kara\'s type theorems for the multidegrees of polynomial
  automorphisms

abstract:
  To solve Nagata's conjecture, Shestakov-Umirbaev constructed a theory for
deciding wildness of polynomial automorphisms in three variables. Recently,
Kara\'s and others study multidegrees of polynomial automorphisms as an
application of this theory. They give various necessary conditions for triples
of positive integers to be multidegrees of tame automorphisms in three
variables. In this paper, we prove a strong theorem unifying these results
using the generalized Shestakov-Umirbaev theory.


title: Depth^+ and Length^+ of Boolean algebras

abstract:
  Let inv denote the cardinal invariants Depth^+ and Length^+ on Boolean
algebras. For many singular cardinals we create a strict inequality between the
product of the inv values and the inv of the product algebra. The proof holds
in ZFC.


title: Asteroid 2012 XE133: a transient companion to Venus

abstract:
  Apart from Mercury that has no known co-orbital companions, Venus remains as
the inner planet that hosts the smallest number of known co-orbitals (two):
(322756) 2001 CK32 and 2002 VE68. Both objects have absolute magnitudes 18 < H
< 21 and were identified as Venus co-orbitals in 2004. Here, we analyse the
orbit of the recently discovered asteroid 2012 XE133 with H = 23.5 mag to
conclude that it is a new Venus co-orbital currently following a transitional
trajectory between Venus' Lagrangian points L5 and L3. The object could have
been a 1:1 librator for several thousand years and it may leave the resonance
with Venus within the next few hundred years, after a close encounter with the
Earth. Our calculations show that its dynamical status as co-orbital, as well
as that of the two previously known Venus co-orbitals, is controlled by the
Earth-Moon system with Mercury playing a secondary role. The three temporary
co-orbitals follow rather chaotic but similar trajectories with e-folding times
of the order of 100 yr. Out of the three co-orbitals, 2012 XE133 currently
follows the most perturbed path. An actual collision with the Earth during the
next 10000 yr cannot be discarded. Extrapolation of the number distribution of
Venus co-orbitals as a function of the absolute magnitude suggests that dozens
of objects similar to 2012 XE133 could be transient companions to Venus. Some
additional objects that were or will be transient co-orbitals to Venus are also
briefly discussed.


title: Manipulation of extreme events on scale-free networks

abstract:
  Extreme events taking place on networks are not uncommon. We show that it is
possible to manipulate the extreme events occurrence probabilities and its
distribution over the nodes on scale-free networks by tuning the nodal
capacity. This can be used to reduce the number of extreme events occurrences
on a network. However monotonic nodal capacity enhancements, beyond a point, do
not lead to any substantial reduction in the number of extreme events. We point
out the practical implication of this result for network design in the context
of reducing extreme events occurrences.


title: Gravitationally lensed extended sources: the case of QSO RXJ0911

abstract:
  After a brief reminder of the mechanism of gravitational lensing of extended
sources, the particular case of the host galaxy of QSO RXJ0911, a high redshift
(z~2.8) quadruply imaged quasar, is explored. The non linearity of the problem,
together with the proximity of the source to a cusp of the lens inner caustic,
have important consequences on the dependence of the image appearance on the
size and shape of the source. Their expected main features and their
interpretation in terms of source extension and shape are investigated in a
spirit of simplicity and in preparation for the analysis of high sensitivity
and spatial resolution images that will soon be within reach with the
completion of the Atacama Large Millimeter/submillimeter Array (ALMA). In
particular, the information on source size carried by relative image brightness
is discussed. Extension of the results to other types of quadruply imaged
quasars is briefly considered.


title:
Feedback arc set problem and NP-hardness of minimum recurrent
  configuration problem of Chip-firing game on directed graphs

abstract:
  In this paper we present further studies of recurrent configurations of
Chip-firing games on Eulerian directed graphs (simple digraphs), a class on the
way from undirected graphs to general directed graphs. A computational problem
that arises naturally from this model is to find the minimum number of chips of
a recurrent configuration, which we call the minimum recurrent configuration
(MINREC) problem. We point out a close relationship between MINREC and the
minimum feedback arc set (MINFAS) problem on Eulerian directed graphs, and
prove that both problems are NP-hard.


title: Super-A-polynomial

abstract:
  We review a construction of a new class of algebraic curves, called
super-A-polynomials, and their quantum generalizations. The super-A-polynomial
is a two-parameter deformation of the A-polynomial known from knot theory or
Chern-Simons theory with SL(2,C) gauge group. The two parameters of the
super-A-polynomial encode, respectively, the t-deformation which leads to the
"refined A-polynomial", and the Q-deformation which leads to the augmentation
polynomial of knot contact homology. For a given knot, the super-A-polynomial
encodes the asymptotics of the corresponding S^r-colored HOMFLY homology for
large r, while the quantum super-A-polynomial provides recursion relations for
such homology theories for each r. The super-A-polynomial also admits a simple
physical interpretation as the defining equation for the space of SUSY vacua in
a circle compactification of the effective 3d N=2 theory associated to a given
knot (complement). We discuss properties of super-A-polynomials and illustrate
them in many examples.


title:
Polarization of the final nucleon in quasi-elastic neutrino scattering
  and the axial form factor of the nucleon

abstract:
  Measurements of the polarization of the final proton in elastic e-p
scattering drastically changed our knowledge about the electromagnetic form
factors of the proton. Here we present our results of the calculation of the
polarization of the final nucleon in charged current quasi-elastic neutrino
nucleon scattering. Relations which connect the axial form factor with the
polarization, the cross section and the electromagnetic form factors of the
nucleon are derived. Measurements of the polarization of the nucleon in the
high-statistics short baseline neutrino experiments (or in near detectors of
long baseline experiments) could provide important information on the axial
form factor of the nucleon.


title:
Correction of a proof in "Connes' embedding conjecture and sums of
  hermitian squares"

abstract:
  We show that Connes' embedding conjecture (CEC) is equivalent to a real
version of the same (RCEC). Moreover, we show that RCEC is equivalent to a
real, purely algebraic statement concerning trace positive polynomials. This
purely algebraic reformulation of CEC had previously been given in both a real
and a complex version in a paper of the last two authors. The second author
discovered a gap in this earlier proof of the equivalence of CEC to the real
algebraic reformulation (the proof of the complex algebraic reformulation being
correct). In this note, we show that this gap can be filled with help of the
theory of real von Neumann algebras.


title:
Entanglement Classification of extended
  Greenberger-Horne-Zeilinger-Symmetric States

abstract:
  In this paper we analyze entanglement classification of extended
Greenberger-Horne-Zeilinger-symmetric states $\rho^{ES}$, which is parametrized
by four real parameters $x$, $y_1$, $y_2$ and $y_3$. The condition for
separable states of $\rho^{ES}$ is analytically derived. The higher classes
such as bi-separable, W, and Greenberger-Horne-Zeilinger classes are roughly
classified by making use of the class-specific optimal witnesses or map from
the extended Greenberger-Horne-Zeilinger symmetry to the
Greenberger-Horne-Zeilinger symmetry. From this analysis we guess that the
entanglement classes of $\rho^{ES}$ are not dependent on $y_j \hspace{.2cm}
(j=1,2,3)$ individually, but dependent on $y_1 + y_2 + y_3$ collectively. The
difficulty arising in extension of analysis with Greenberger-Horne-Zeilinger
symmetry to the higher-qubit system is discussed.


title:
Dirac Operators with Torsion and the Noncommutative Residue for
  Manifolds with Boundary

abstract:
  In this paper, we get the Kastler-Kalau-Walze theorem associated to Dirac
operators with torsion on compact manifolds with boundary. We give two kinds of
operator-theoretic explanations of the gravitational action in the case of
4-dimensional compact manifolds with flat boundary. Furthermore, we get the
Kastler-Kalau-Walze type theorem for four dimensional complex manifolds
associated with nonminimal operators.


title: Critical behaviors as functions of the bare-mass

abstract:
  In Ising model on the simple cubic lattice, we describe the inverse
temperature \beta in terms of the bare-mass M and study its critical behavior
by the use of delta expansion from high temperature or large M side. In the
vicinity of critical temperature \beta_{c}, the expansion of \beta in M has
\beta_{c} as the first term and M^{-1/2\nu} as the leading correction. The
estimation of \beta_{c} in 1/M expansion is confronted with the leading and
higher order corrections, even delta expansion is applied and the critical
region emerges. To improve the estimation status of \beta_{c}, we try to
suppress the corrections by adding derivatives of \beta(M) with free adjustable
parameters. By optimizing the parameters with the help of the principle of
minimum sensitivity which are maximally imposed in accord with the number of
parameters, estimation of \beta_{c} is carried out and the result is found to
be in good agreement with the present world average. In the same time, the
critical exponent {\nu} is also estimated.


title:
Optical Morphology, Inclination and Expansion Velocity of the Ejected
  Shell of Nova Monocerotis 2012

abstract:
  The morphology of the ejected shell of the He/N Nova Monocerotis 2012
outburst was studied in detail. Synthetic line profile spectra were compared to
the [O {\sc iii}] 4959,5007 \AA\ emission line profiles in order to find the
best fit morphology, inclination angle and maximum expansion velocity of the
ejected shell. The simplest morphology was found to be that of a bipolar
structure with an inclination angle of 82$\pm6$ degrees and a maximum expansion
velocity of 2400$^{+300}_{-200}$ km/s (at day 130 after outburst). Such a high
degree of shaping is un-expected for a system with a main sequence star (as
suspected from the systems colors). The degree of shaping may be disentangled
with resolved optical imaging. Furthermore, these results may be confirmed with
radio imaging which is expected to follow the same gross features of the
outburst as the optical band and the high inclination implied here can be
corroborated with a 7.1 hour period which has been suggested to arise from
partial eclipses of extended emission by an accretion disk rim.


title: Subspace Clustering via Thresholding and Spectral Clustering

abstract:
  We consider the problem of clustering a set of high-dimensional data points
into sets of low-dimensional linear subspaces. The number of subspaces, their
dimensions, and their orientations are unknown. We propose a simple and
low-complexity clustering algorithm based on thresholding the correlations
between the data points followed by spectral clustering. A probabilistic
performance analysis shows that this algorithm succeeds even when the subspaces
intersect, and when the dimensions of the subspaces scale (up to a log-factor)
linearly in the ambient dimension. Moreover, we prove that the algorithm also
succeeds for data points that are subject to erasures with the number of
erasures scaling (up to a log-factor) linearly in the ambient dimension.
Finally, we propose a simple scheme that provably detects outliers.

categories: cs.IT cs.LG math.IT math.ST stat.ML stat.TH


title: Analysis of the Monte-Carlo error in a hybrid semi-lagrangian scheme

abstract:
  We consider Monte-Carlo discretizations of partial differential equations
based on a combination of semi-lagrangian schemes and probabilistic
representations of the solutions. We study the Monte-Carlo error in a simple
case, and show that under an anti-CFL condition on the time-step $\delta t$ and
on the mesh size $\delta x$ and for $N$ - the number of realizations -
reasonably large, we control this error by a term of order
$\mathcal{O}(\sqrt{\delta t /N})$. We also provide some numerical experiments
to confirm the error estimate, and to expose some examples of equations which
can be treated by the numerical method.


title:
Simplicial Monoid Actions and The Associated Universal Simplicial Monoid
  Construction

abstract:
  The reduced universal monoid on the action category associated to a pointed
simplicial M-set has appeared in the guise of various simplicial monoid and
group constructions. These include the classical constructions of Milnor and
James, as well as their later generalizations by Carlsson and Wu. We prove
that, if any two n-simplices in the same orbit differ by the action of an
invertible monoid element, then the classifying space of this reduced universal
monoid is the homotopy cofiber of the inclusion from the pointed simplicial set
into its reduced Borel construction. The known formulae for the respective
classifying spaces of the above four constructions are special cases of this
result. Thus, we unify categorially the four above-mentioned constructions.


title: Search for B -> h(*) nu nubar with the full Belle Y(4S) data sample

abstract:
  We report a search for the rare decays B -> h(*) nu nubar, where h(*) stands
for K+, Ks0, K*+, K*0, pi+, pi0, rho+, rho0 and phi. The results are obtained
from a 711 fb-1 data sample that contains 772 million BB pairs collected at the
Y(4S) resonance with the Belle detector at the KEKB e+e- collider. We search
for signal candidates by fully reconstructing a hadronic decay of the
accompanying B meson and requiring a single h(*) meson left on the signal side.
No significant signal is observed and we set upper limits on the branching
fractions at 90% confidence level. The measurements of B+ -> K*+ nu nubar, B+
-> pi+ nu nubar, B0 -> pi0 nu nubar and B0 -> rho^0 nu nubar provide the
world's currently most restrictive limits.


title:
Polariton condensation with saturable molecules dressed by vibrational
  modes

abstract:
  Polaritons, mixed light-matter quasiparticles, undergo a transition to a
condensed, macroscopically coherent state at low temperatures or high
densities. Recent experiments show that coupling light to organic molecules
inside a microcavity allows condensation at room temperature. The molecules act
as saturable absorbers with transitions dressed by molecular vibrational modes.
Motivated by this we calculate the phase diagram and spectrum of a modified
Tavis-Cummings model, describing vibrationally dressed two-level systems,
coupled to a cavity mode. Coupling to vibrational modes can induce re-entrance,
i.e. a normal-condensed-normal sequence with decreasing temperature and can
drive the transition first order.


title: On steepest descent curves for quasi convex families in $R^n$

abstract:
  A connected, linearly ordered path $\ga \subset R^n$ satisfying $$ x_1\prec
x_2\prec x_3 \in \ga, and x_1 \prec x_2 \prec x_3 \Rightarrow |x_2 - x_1| \leq
| x_3 - x_1|$$ is shown to be a rectifiable curve; a priori bounds for its
length are given; moreover, these paths are generalized steepest descent curves
of suitable quasi convex functions. Properties of quasi convex families are
considered; special curves related to quasi convex families are defined and
studied; they are generalizations of steepest descent curves for quasi convex
functions and satisfy the previous property. Existence, uniqueness, stability
results and length's bounds are proved for them.


title:
Fully Differential Monte-Carlo Generator Dedicated to TMDs and
  Bessel-Weighted Asymmetries

abstract:
  We present studies of double longitudinal spin asymmetries in semi-inclusive
deep inelastic scattering using a new dedicated Monte Carlo generator, which
includes quark intrinsic transverse momentum within the generalized parton
model based on the fully differential cross section for the process.
Additionally, we apply Bessel-weighting to the simulated events to extract
transverse momentum dependent parton distribution functions and also discuss
possible uncertainties due to kinematic correlation effects.


title: The Anatomy of Neutral Scalars with FCNCs in the Flavour Precision Era

abstract:
  In many extensions of the Standard Model flavour changing neutral current
processes can be mediated by tree-level heavy neutral scalars and/or
pseudo-scalars H^0(A^0). This generally introduces new sources of flavour
violation and CP violation as well as left-handed and right-handed scalar
currents. These new physics contributions imply a pattern of deviations from SM
expectations for FCNC processes that depends only on the couplings of H^0(A^0)
to fermions and on their masses. In situations in which a single H^0 or A^0
dominates NP contributions stringent correlations between Delta F=2 and Delta
F=1 observables exist. Anticipating the Flavour Precision Era ahead of us we
illustrate this by searching for allowed oases in the landscape of a given
model assuming significantly smaller uncertainties in CKM and hadronic
parameters than presently available. To this end we analyze Delta F=2
observables in B^0_{s,d}-bar B^0_{s,d} and K^0-bar K^0 systems and rare B and K
decays with charged leptons in the final state including both left-handed and
right-handed scalar couplings of H^0 and A^0 to quarks in various combinations.
We identify a number of correlations between various flavour observables that
could test and distinguish these different scenarios. The prominent role of the
decays B_{s,d}-> mu^+ mu^- in these studies is emphasized. Imposing the
existing flavour constraints, a rich pattern of deviations from the SM
expectations in rare B_{s,d} decays emerges provided M_H< 1 TeV. NP effects in
rare K decays are very small. Neutral SM Higgs contributions to rare B and K
decays turn out to be negligible once the constraints from Delta F=2 processes
are taken into account. Finally, we point out striking differences between the
correlations found here and in scenarios in which tree-level FCNC are mediated
by a new neutral gauge boson Z'.


title:
Quantifier Elimination and Rectilinearisation Theorem for Generalised
  Quasianalytic Algebras

abstract:
  An algebra of germs of real functions is generalised quasianalytic if to each
element of the algebra we can associate, injectively, a power series with
nonnegative real exponents. We prove a quantifier elimination and a
rectilinearisation result for generalised quasianalytic algebras.


title:
Phase diagram and superconductivity at 58.1 K in {\alpha}-FeAs free
  SmFeAsO1-xFx

abstract:
  The Phase diagram of SmFeAsO1-xFx in terms of x is exhibited in this study.
SmFeAsO1-xFx from x = 0 to x = 0.3 were prepared by low temperature sintering
with slow cooling. The low temperature sintering suppresses the formation of
the amorphous FeAs, which is inevitably produced as an impurity by using high
temperature sintering. Moreover, slow cooling is effective to obtain the high
fluorine concentration. The compositional change from feedstock composition is
quite small after this synthesis. We can reproducibly observe a record
superconducting transition for an iron based superconductor at 58.1 K. This
achievement of a high superconducting transition is due to the success in a
large amount of fluorine substitution. A shrinking of the a lattice parameter
caused by fluorine substitution is observed and the substitutional rate of
fluorine changes at x =0.16.


title: High Precision Fourier Monte Carlo Simulation of Crystalline Membranes

abstract:
  We report an essential improvement of the plain Fourier Monte Carlo algorithm
that promises to be a powerful tool for investigating critical behavior in a
large class of lattice models, in particular those containing microscopic or
effective long-ranged interactions. On tuning the Monte Carlo acceptance rates
separately for each wave vector, we are able to drastically reduce critical
slowing down. We illustrate the resulting efficiency and unprecedented accuracy
of our algorithm with a calculation of the universal elastic properties of
crystalline membranes in the flat phase and derive a numerical estimate eta =
0.795(10) for the critical exponent eta that challenges those derived from
other recent simulations. The large system sizes accessible to our present
algorithm also allow to demonstrate that insufficiently taking into account
corrections to scaling may severely hamper a finite size scaling analysis. This
observation may also help to clarify the apparent disagreement of published
numerical estimates of eta in the existing literature.

categories: cond-mat.stat-mech cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.soft physics.comp-ph


title:
Pulsatility index as a diagnostic parameter of reciprocating wall shear
  stress 2 parameters in physiological pulsating waveforms

abstract:
  Arterial wall shear stress (WSS) parameters are widely used for prediction of
the initiation and development of atherosclerosis and arterial pathologies.
Traditional clinical evaluation of arterial condition relies on correlations of
WSS parameters with average flow rate (Q) and heart rate (HR) measurements. We
show that for pulsating flow waveforms in a straight tube with flow reversals
that lead to significant reciprocating WSS, the measurements of HR and Q are
not sufficient for prediction of WSS parameters. Therefore, we suggest adding a
third quantity - known as the pulsatility index (PI) - which is defined as the
peak-to-peak flow rate amplitude normalized by Q. We examine several pulsating
flow waveforms with and without flow reversals using a simulation of a
Womersley model in a straight rigid tube and validate the simulations through
experimental study using particle image velocimetry (PIV). The results indicate
that clinically relevant WSS parameters such as the percentage of negative WSS
(P[%]), oscillating shear index (OSI) and the ratio of minimum to maximum shear
stress rates (min/max), are better predicted when the PI is used in conjunction
with HR and Q. Therefore, we propose to use PI as an additional and essential
diagnostic quantity for improved predictability of the reciprocating WSS.


title: On irreducible maps and slices

abstract:
  We consider the problem of enumerating d-irreducible maps, i.e. planar maps
whose all cycles have length at least d, and such that any cycle of length d is
the boundary of a face of degree d. We develop two approaches in parallel: the
natural approach via substitution where these maps are obtained from general
maps by a replacement of all d-cycles by elementary faces, and a bijective
approach via slice decomposition which consists in cutting the maps along
shortest paths. Both lead to explicit expressions for the generating functions
of d-irreducible maps with controlled face degrees, summarized in some elegant
"pointing formula". We provide an equivalent description of d-irreducible
slices in terms of so-called d-oriented trees. We finally show that irreducible
maps give rise to a hierarchy of discrete integrable equations which include
equations encountered previously in the context of naturally embedded trees.


title: The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,\tau)$

abstract:
  In this paper, we prove a half-space theorem with respect to constant mean
curvature $1/2$ entire graphs in $\mathbb{E(-1,\tau)}$. If $\Sigma$ is such an
entire graph and $\Sigma'$ is a properly immersed constant mean curvature $1/2$
surface included in the mean convex side of $\Sigma$ then $\Sigma'$ is a
vertical translate of $\Sigma$. We also have an equivalent statement for the
non mean convex side of $\Sigma$.


title: Statistical investigations on nitrogen-vacancy center creation

abstract:
  Experiments show that shallow nitrogen implantations (<10keV) result in a
negatively charged nitrogen-vacancy center (NV-) yield of 0.01-0.1%. The most
succesful technique for introducing NV- centers in the carbon matrix is ion
implantation followed by annealing at 1100K. We investigated the influence of
channeling effects during shallow implantation and statistical diffusion using
molecular dynamics (MD) and Monte Carlo (MC) approaches. Energy barriers for
the diffusion process were calculated using the density functional theory
(DFT). Our simulations show a significant difference in the NV yield compared
to the experiment. Statistically, 25% of the implanted nitrogens form a NV
center after annealing.


title: Single-Chain Magnets

abstract:
  Single-chain magnets are molecular spin chains displaying slow relaxation of
the magnetisation on a macroscopic time scale. To this similarity with
single-molecule magnets they own their name. In this chapter the distinctive
features of single-chain magnets as opposed to their precursors will be
pinpointed. In particular, we will show how their behaviour is dictated by the
physics of thermally-excited domain walls. The basic concepts needed to
understand and model single-chain magnets will also be reviewed.


title:
Adaptive Mode Selection in Bidirectional Buffer-aided Relay Networks
  with Fixed Transmit Powers

abstract:
  We consider a bidirectional network in which two users exchange information
with the help of a buffer-aided relay. In such a network without direct link
between user 1 and user 2, there exist six possible transmission modes, i.e.,
four point-to-point modes (user 1-to-relay, user 2-to-relay, relay-to-user 1,
relay-to-user 2), a multiple access mode (both users to the relay), and a
broadcast mode (the relay to both users). Because of the buffering capability
at the relay, the transmissions in the network are not restricted to adhere to
a predefined schedule, and therefore, all the transmission modes in the
bidirectional relay network can be used adaptively based on the instantaneous
channel state information (CSI) of the involved links. For the considered
network, assuming fixed transmit powers for both the users and the relay, we
derive the optimal transmission mode selection policy which maximizes the sum
rate. The proposed policy selects one out of the six possible transmission
modes in each time slot based on the instantaneous CSI. Simulation results
confirm the effectiveness of the proposed protocol compared to existing
protocols.


title:
Adaptive Reduced-Rank MBER Linear Receive Processing for Large Multiuser
  MIMO Systems

abstract:
  In this work, we propose a novel adaptive reduced-rank strategy based on
joint interpolation, decimation and filtering (JIDF) for large multiuser
multiple-input multiple-output (MIMO) systems. In this scheme, a reduced-rank
framework is proposed for linear receive processing and multiuser interference
suppression according to the minimization of the bit error rate (BER) cost
function. We present a structure with multiple processing branches that
performs dimensionality reduction, where each branch contains a group of
jointly optimized interpolation and decimation units, followed by a linear
receive filter. We then develop stochastic gradient (SG) algorithms to compute
the parameters of the interpolation and receive filters along with a
low-complexity decimation technique. Simulation results are presented for
time-varying environments and show that the proposed MBER-JIDF receive
processing strategy and algorithms achieve a superior performance to existing
methods at a reduced complexity.


title: Future Evolution of CSMA Protocols for the IEEE 802.11 Standard

abstract:
  In this paper a candidate protocol to replace the prevalent CSMA/CA medium
access control in Wireless Local Area Networks is presented. The proposed
protocol can achieve higher throughput than CSMA/CA, while maintaining
fairness, and without additional implementation complexity. Under certain
circumstances, it is able to reach and maintain collision-free operation, even
when the number of contenders is variable and potentially large. It is backward
compatible, allowing for new and legacy stations to coexist without degrading
one another's performance, a property that can make the adoption process by
future versions of the standard smooth and inexpensive.


title:
Subgradient Algorithm, Stochastic Subgradient Algorithm, Incremental
  Subgradient Algorithm, and Set Location Problems

abstract:
  In recent years, important progress has been made in applying methods and
techniques of convex optimization to many fields of applications such as
location science, engineering, computational statistics, and computer science.
In this paper, we present some simple algorithms for solving a number of new
models of facility location involving sets which generalize the classical
Fermat-Torricelli problem and the smallest enclosing circle problem. The
general nondifferentiability of the models prevents us from applying
gradient-type algorithms, so our approach is to use subgradient-type algorithms
instead. The algorithms presented in this paper are easy to implement and
applicable for a broad range of problems that are also suitable for teaching
and learning convex optimization.


title: Fluid/Gravity Correspondence For General Non-rotating Black Holes

abstract:
  In this paper, we investigate the fluid/gravity correspondence in spacetime
with general non-rotating weakly isolated horizon. With the help of Petrov-like
boundary condition and large mean curvature limit, we show that the dual
hydrodynamical system is described by a generalized forced incompressible
Navier-Stocks equation. Specially, for stationary black holes or those
spacetime with some asymptotically stationary conditions, such a system reduces
to a standard forced Navier-Stocks system.


title: Permutation decoding of Z2Z4-linear codes

abstract:
  An alternative permutation decoding method is described which can be used for
any binary systematic encoding scheme, regardless whether the code is linear or
not. Thus, the method can be applied to some important codes such as
Z2Z4-linear codes, which are binary and, in general, nonlinear codes in the
usual sense. For this, it is proved that these codes allow a systematic
encoding scheme. As a particular example, this permutation decoding method is
applied to some Hadamard Z2Z4-linear codes.


title:
Local powers of optimal one- and multi-sample tests for the
  concentration of Fisher-von Mises-Langevin distributions

abstract:
  One-sample and multi-sample tests on the concentration parameter of
Fisher-von Mises-Langevin (FvML) distributions have been well studied in the
literature. However, only very little is known about their behavior under local
alternatives, which is due to complications inherent to the curved nature of
the parameter space. The aim of the present paper therefore consists in filling
that gap by having recourse to the Le Cam methodology, which has been adapted
from the linear to the spherical setup in Ley \emph{et al.} (2013). We obtain
explicit expressions of the powers for the most efficient one- and multi-sample
tests; these tests are those considered in Watamori and Jupp (2005). As a nice
by-product, we are also able to write down the powers (against local FvML
alternatives) of the celebrated Rayleigh (1919) test of uniformity. A Monte
Carlo simulation study confirms our theoretical findings and shows the
finite-sample behavior of the above-mentioned procedures.


title:
Molecular Dynamic Simulation of Liquid-Vapor Coexistence of Metals
  Modeled Using Modified Empirical Pair Potentials

abstract:
  We propose a modified form of pair potential for metals. The parameters of
the potential are obtained by fitting the cold curve of the potential to that
obtained from the ab-initio calculations. Parameters have been obtained for
Aluminum, Copper, Sodium and Potassium. To test the accuracy of the potentials,
we performed particle-transfer molecular dynamics simulations and obtained the
liquid-vapor coexistence curves of the above metals. We found that, in the
cases of Sodium and Potassium, the present results improve significantly over
those obtained from Morse potential (J.K. Singh et. al., Fluid Phase Equilibria
248(2006)). In the cases of Aluminum and Copper, the present results are closer
to those obtained from the Morse potential. We also obtained isobars of
Aluminum and Copper at 0.3GPa from NPT ensemble simulations. We observed that
the isobars obtained using the Morse potential and the modified potentials are
in close agreement in both the cases. The obtained isobar of Copper is in
reasonable agreement with the experimental isobar while that of Aluminum is
slightly deviating from the experimental isobar.


title: A closed-form estimator for the multivariate GARCH(1,1) model

abstract:
  We provide a closed-form estimator based on the VARMA representation for the
unrestricted multivariate GARCH(1,1). We show that all parameters can be
derived using basic linear algebra tools. We show that the estimator is
consistent and asymptotically normal distributed. Our results allow also to
derive a closed form for the parameters in the context of temporal aggregation
of multivariate GARCH(1,1) by solving the equations as in Hafner [2008].


title: Organization Mining Using Online Social Networks

abstract:
  Mature social networking services are one of the greatest assets of today's
organizations. This valuable asset, however, can also be a threat to an
organization's confidentiality. Members of social networking websites expose
not only their personal information, but also details about the organizations
for which they work. In this paper we analyze several commercial organizations
by mining data which their employees have exposed on Facebook, LinkedIn, and
other publicly available sources. Using a web crawler designed for this
purpose, we extract a network of informal social relationships among employees
of a given target organization. Our results, obtained using centrality analysis
and Machine Learning techniques applied to the structure of the informal
relationships network, show that it is possible to identify leadership roles
within the organization solely by this means. It is also possible to gain
valuable non-trivial insights on an organization's structure by clustering its
social network and gathering publicly available information on the employees
within each cluster. Organizations wanting to conceal their internal structure,
identity of leaders, location and specialization of branches offices, etc.,
must enforce strict policies to control the use of social media by their
employees.


title:
QCD thermodynamics of effective models with an improved Polyakov-loop
  potential

abstract:
  We analyse the role of the quark backreaction on the gauge-field dynamics and
its impact on the Polyakov-loop potential. Based on our analysis we construct
an improved Polyakov-loop potential that can be used in future model studies.
In the present work, we employe this improved potential in a study of a 2+1
flavour Polyakov-quark-meson model and show that the temperature dependence of
the order parameters and thermodynamics is closer to full QCD. We discuss the
results for QCD thermodynamics and outline briefly the dependence of our
results on the critical temperature and the parametrisation of the
Polyakov-loop potential as well as the mass of the sigma-meson.


title:
Spectral problems for non elliptic symmetric systems with dissipative
  boundary conditions

abstract:
  This paper considers and extends spectral and scattering theory to
dissipative symmetric systems that may have zero speeds and in particular to
strictly dissipative boundary conditions for Maxwell's equations. Consider
symmetric systems $\partial_t - \sum_{j=1}^n A_j \partial_{x_j}$ in ${\mathbb
R}^n,\: n \geq 3$, $n$ odd, in a smooth connected exterior domain $\Omega :=
{\mathbb R}^n \setminus \bar{K}$. Assume that the rank of $A(\xi) = \sum_{j=
1}^n A_j \xi_j$ is constant for $\xi \not= 0.$ For maximally dissipative
boundary conditions on $\Omega :={\mathbb R}^n \setminus \bar{K}$ with bounded
open domain $K$ the solution of the boundary problem in ${\mathbb R}^{+} \times
\Omega$ is described by a contraction semigroup $V(t) = e^{t G_b},\:t \geq 0.$
Assuming coercive conditions for $G_b$ and its adjoint $G_b^*$ on the
complement of their kernels, we prove that the spectrum of $G_b$ in the open
half plane $\Re z < 0$ is formed only by isolated eigenvalues with finite
multiplicities.


title:
The 69 micron forsterite band in spectra of protoplanetary disks -
  Results from the Herschel DIGIT programme

abstract:
  Context: We have analysed Herschel-PACS spectra of 32 circumstellar disks
around Herbig Ae/Be and T-Tauri stars obtained within the Herschel key
programme DIGIT. In this paper we focus on the 69mu emission band of the
crystalline silicate forsterite.
  Aims: This work provides an overview of the 69mu forsterite bands in the
DIGIT sample. We aim to derive the temperature and composition of the
forsterite grains. With this information, constraints can be placed on the
spatial distribution of the forsterite in the disk and its formation history.
  Methods: Position and shape of the 69mu band are used to derive the
temperature and composition of the dust by comparison to laboratory spectra of
that band. We combine our data with existing Spitzer IRS spectra to compare the
presence and strength of the 69mu band to the forsterite bands at shorter
wavelengths.
  Results: A total of 32 sources have been observed, 8 of them show a 69mu
emission band that can be attributed to forsterite. With the exception of the
T-Tauri star AS205, all of the detections are for disks associated with Herbig
Ae/Be stars. Most of the forsterite grains that give rise to the 69mu bands are
warm (~100-200 K) and iron-poor (less than ~2% iron). Only AB-Aur requires
approximately 3-4% of iron.
  Conclusions: Our findings support the hypothesis that the forsterite grains
form through an equilibrium condensation process at high temperatures. The
connection between the strength of the 69 and 33mu bands shows that at least
part of the emission in these bands originates from the same dust grains.
Further, any model that explains the PACS and the Spitzer IRS observations must
take the effects of a wavelength dependent optical depth into account. We find
indications of a correlation of the detection rate of the 69mu band with the
spectral type of the host stars. However, our sample is too small to obtain a
definitive result.


title:
Tunable optoelectronic and ferroelectric properties in Sc-based
  III-nitrides

abstract:
  Sc-based III-nitride alloys were studied using Density Functional Theory with
special quasi-random structures and were found to retain wide band gaps which
stay direct up to x = 0.125 (ScxAl1-xN) and x = 0.375 (ScxGa1-xN). Epitaxial
strain stabilization prevents spinodal decomposition up to x = 0.3 (ScxAl1-xN
on GaN) and x = 0.24 (ScxGa1-xN on GaN), with critical thicknesses for strain
relaxation ranging from 3 nm to near-infinity. The increase in Sc content
introduces compressive in-plane stress with respect to AlN and GaN, and leads
to composition- and stress-tunable band gaps and polarization, and ultimately
introduces ferroelectric functionality in ScxGa1-xN at x = 0.625.


title: Anomalous transport in half-metallic ferromagnetic CrO2

abstract:
  We have investigated transport properties of CrO2 thin films deposited on
TiO2 and sapphire substrates. The films are good metals down to low
temperatures. The residual resistivity is of the order of 6 micro-ohhmcm for
films deposited on TiO2 and two times higher for films on sapphire substrates.
The sign of the magnetoresistance (MR) changes from negative to positive at a
temperature around 100 K. This fact, as well as a rapid change in the ordinary
and anomalous Hall coefficients suggest a change in the electronic state. At
lower temperatures the MR is a linear function of the applied field. This
linear dependence might be explained as intergrain tunneling MR. This
interpretation is also suggested by the angular MR. The planar Hall effect
measurements reveal that the CrO2 thin films are not in a single magnetic
domain state even for films deposited on an isostructural TiO2 substrate.


title: van der Waals interaction in iron-chalcogenide superconductors

abstract:
  We demonstrate that the inclusion of van der Waals dispersive interaction
sensibly improves the prediction of lattice constants by density functional
theory in iron-chalcogenides (FeCh) superconductor compounds, namely FeSe and
FeTe. We show how generalized gradient approximation (GGA) for the exchange
correlation potential overestimates the out-of-plane lattice constants in both
compounds when compared with experiments. In addition, GGA predicts a too weak
bonding between the neutral FeCh layers, with a sensible underestimation of the
bulk modulus. van der Waals corrected simulations completely solve both
problems, reconciling theoretical results with experiments. These findings must
be considered when dealing with theoretical predictions in FeCh compounds.


title: S^2 x S^3 geometries in ABJM and giant gravitons

abstract:
  We construct a new NS5-brane solution in AdS_4 x CP^3 with S^2 x S^3
topology. This solution belongs to the general class of non-Einstein N_{11}
metrics to which T^{1,1} belongs, and carries a non-vanishing D0-brane charge.
In eleven dimensions it gives rise to a squashed S^2 x S^3 M5-brane giant
graviton which is now of the N_{10} type. The energies of both solutions
satisfy the BPS bound E=kQ/2, indicating supersymmetric configurations, where Q
is interpreted as D0-brane charge for the NS5-brane and as angular momentum for
the dynamically stable M5-brane giant graviton. The ground state is degenerate
with a spherical D2 or M2-brane, rather than with a point-like object.
Moreover, while the charge of the spherical 2-brane can be arbitrary, the
charge of the S^2 x S^3 5-brane is bounded by N/2, with N the rank of the ABJM
gauge group, a manifestation of the stringy exclusion principle. A microscopic
description, suitable for the study of the finite 't Hooft coupling region, is
provided in terms of spherical D2 or M2-branes expanding into fuzzy 3-spheres.


title: Quantum resistance metrology using graphene

abstract:
  In this paper we review the recent extraordinary progress in the development
of a new quantum standard for resistance based on graphene. We discuss the
unique properties of this material system relating to resistance metrology and
discuss results of the recent highest-ever precision direct comparison of the
Hall resistance between graphene and traditional GaAs. We mainly focus our
review on graphene expitaxially grown on SiC, a system which so far resulted in
the best results. We also brie y discuss progress in the two other graphene
material systems, exfoliated graphene and chemical vapour deposition graphene,
and make a critical comparison with SiC graphene. Finally we discuss other
possible applications of graphene in metrology.


title: Regression with Distance Matrices

abstract:
  Data types that lie in metric spaces but not in vector spaces are difficult
to use within the usual regression setting, either as the response and/or a
predictor. We represent the information in these variables using distance
matrices which requires only the specification of a distance function. A
low-dimensional representation of such distance matrices can be obtained using
methods such as multidimensional scaling. Once these variables have been
represented as scores, an internal model linking the predictors and the
response can be developed using standard methods. We call scoring the
transformation from a new observation to a score while backscoring is a method
to represent a score as an observation in the data space. Both methods are
essential for prediction and explanation. We illustrate the methodology for
shape data, unregistered curve data and correlation matrices using motion
capture data from an experiment to study the motion of children with cleft lip.


title: Friend or Foe? Fake Profile Identification in Online Social Networks

abstract:
  The amount of personal information unwillingly exposed by users on online
social networks is staggering, as shown in recent research. Moreover, recent
reports indicate that these networks are infested with tens of millions of fake
users profiles, which may jeopardize the users' security and privacy. To
identify fake users in such networks and to improve users' security and
privacy, we developed the Social Privacy Protector software for Facebook. This
software contains three protection layers, which improve user privacy by
implementing different methods. The software first identifies a user's friends
who might pose a threat and then restricts this "friend's" exposure to the
user's personal information. The second layer is an expansion of Facebook's
basic privacy settings based on different types of social network usage
profiles. The third layer alerts users about the number of installed
applications on their Facebook profile, which have access to their private
information. An initial version of the Social Privacy Protection software
received high media coverage, and more than 3,000 users from more than twenty
countries have installed the software, out of which 527 used the software to
restrict more than nine thousand friends. In addition, we estimate that more
than a hundred users accepted the software's recommendations and removed at
least 1,792 Facebook applications from their profiles. By analyzing the unique
dataset obtained by the software in combination with machine learning
techniques, we developed classifiers, which are able to predict which Facebook
profiles have high probabilities of being fake and therefore, threaten the
user's well-being. Moreover, in this study, we present statistics on users'
privacy settings and statistics of the number of applications installed on
Facebook profiles...


title:
Sea Quark and Gluon contributions to Strange Baryons and their
  Properties

abstract:
  We treat the hadrons as an ensemble of quark-gluon Fock states where
contributions from sea-quarks and gluons can be studied in detail for the
properties of low lying baryons. Statistical model is applied to calculate
individual probabilities from various scalar, vector and tensor sea components
in flavor, spin and color subspaces for each quark-gluon Fock state. The mass
of strange quark is imposed in terms of constraints to the availability of
strange quarks in the sea and free energy of gluons in conformity with
experimental indications. We calculate multiplicities for different sets of
Fock states to compute the role of strange sea for cascade doublet {\Xi}+, and
{\Xi}-.The low energy properties like magnetic moment, weak decay matrix
elements and axial coupling constant ratios have been studied. The
incorporation of strange quark gluon sea is discussed and they found to affect
the results by almost 46% . The results provide deeper understanding for baryon
structure thereby motivating experiments for further inspection, especially the
spin distribution among the quarks and gluons.


title:
Non-aqueous formation of the calcium carbonate polymorph vaterite:
  astrophysical implications

abstract:
  We study the formation of calcium carbonate, through the solid-gas
interaction of amorphous Ca-silicate with gaseous CO2, at elevated pressures,
and link this to the possible presence of calcium carbonate in a number of
circumstellar and planetary environments. We use in-situ synchrotron X-Ray
powder diffraction to obtain detailed structural data pertaining to the
formation of the crystalline calcium carbonate phase vaterite and its evolution
with temperature. We found that the metastable calcium carbonate phase vaterite
was formed alongside calcite, at elevated CO2 pressure, at room temperature and
subsequently remained stable over a large range of temperature and pressure. We
report the formation of the calcium carbonate mineral vaterite whilst
attempting to simulate carbonate dust grain formation in astrophysical
environments. This suggests that vaterite could be a mineral component of
carbonate dust and also presents a possible method of formation for vaterite
and its polymorphs on planetary surfaces.


title: A Last-Step Regression Algorithm for Non-Stationary Online Learning

abstract:
  The goal of a learner in standard online learning is to maintain an average
loss close to the loss of the best-performing single function in some class. In
many real-world problems, such as rating or ranking items, there is no single
best target function during the runtime of the algorithm, instead the best
(local) target function is drifting over time. We develop a novel last-step
minmax optimal algorithm in context of a drift. We analyze the algorithm in the
worst-case regret framework and show that it maintains an average loss close to
that of the best slowly changing sequence of linear functions, as long as the
total of drift is sublinear. In some situations, our bound improves over
existing bounds, and additionally the algorithm suffers logarithmic regret when
there is no drift. We also build on the H_infinity filter and its bound, and
develop and analyze a second algorithm for drifting setting. Synthetic
simulations demonstrate the advantages of our algorithms in a worst-case
constant drift setting.


title:
First Principle-based Analysis of Single-Walled Carbon Nanotube and
  Silicon Nanowire Junctionless Transistors

abstract:
  Junctionless transistors made of silicon have previously been demonstrated
experimentally and by simulations. Junctionless devices do not require
fabricating an abrupt source-drain junction and thus can be easier to implement
in aggressive geometries. In this paper, we explore a similar architecture for
aggressively scaled devices with the channel consisting of doped carbon
nanotubes (CNTs). Gate all around (GAA) field effect transistor (FET)
structures are investigated for n- and p-type doping. Current-voltage
characteristics and sub-threshold characteristics for a CNTbased junctionless
FET is compared with a junctionless silicon nanowire (SiNW) FET with comparable
dimensions. Despite the higher on-current of the CNT channels, the device
characteristics are poorer compared to the silicon devices due to the smaller
CNT band gap.


title: Jarzynski Equality and Irreversibility

abstract:
  Using methods of phenomenological non-equilibrium thermodynamics, the proof
is performed that Jarzynski's equality is only valid in the reversible limit
and that a conclusion to non-equilibrium inequalities concerning free energy
and work is not possible and therefore not allowed.


title:
Generating efficient quantum circuits for preparing maximally
  multipartite entangled states

abstract:
  In this work we provide a method for generating quantum circuits preparing
maximally multipartite entangled states using genetic programming. The
presented method is faster that known realisations thanks to the applied
fitness function and several modifications to the genetic programming schema.
Moreover, we enrich the described method by the unique possibility to define an
arbitrary structure of a system. We use the developed method to find new
quantum circuits, which are simpler from known results. We also analyse the
efficiency of generating entanglement in the spin chain system and in the
system of complete connections.


title: Top quark mass measurements at and above threshold at CLIC

abstract:
  We present a study of the expected precision of the top quark mass
determination, measured at a linear e+ e- collider based on CLIC technology.
GEANT4-based detector simulation and full event reconstruction including
realistic physics and beam-induced background levels are used. Two different
techniques to measure the top mass are studied: The direct reconstruction of
the invariant mass of the top quark decay products and the measurement of the
mass together with the strong coupling constant in a threshold scan, in both
cases including first studies of expected systematic uncertainties. For the
direct reconstruction, experimental uncertainties around 100 MeV are achieved,
which are at present not matched by a theoretical understanding on a similar
level. With a threshold scan, total uncertainties of around 100 MeV are
achieved, including theoretical uncertainties in a well-defined top mass
scheme. For the threshold scan, the precision at ILC is also studied to provide
a comparison of the two linear collider technologies.


title: Druid, event display for the linear collider

abstract:
  Druid is a dedicated event display designed for the future electron positron
linear colliders. Druid takes standard linear collider data files and detector
geometry description files as input, it can visualize both physics event and
detector geometry. Many displaying options are provided by Druid, giving easy
access to different information. As a versatile event display, Druid supports
all the latest linear collider detector models, Silicon Detector and
International Large Detector, as well as the calorimeter prototypes operated in
the CALICE test beam experiments. It has been utilized in many studies such as
the verification of detector geometry, analysis of the simulated full events
and test beam data as well as reconstruction algorithm development and code
debugging.


title:
Insulator-to-metal transition of SrTiO3:Nb single crystal surfaces
  induced by Ar+ bombardment

abstract:
  In this paper, the effect of Ar+ bombardment of SrTiO3:Nb surface layers is
investigated on the macro- and nanoscale using surface-sensitive methods. After
bombardment, the stoichiometry and electronic structure are changed distinctly
leading to an insulator-to-metal transition related to the change of the Ti "d"
electron from d0 to d1 and d2. During bombardment, conducting islands are
formed on the surface. The induced metallic state is not stable and can be
reversed due to a redox process by external oxidation and even by
self-reoxidation upon heating the sample to temperatures of 300{\deg}C.


title: Update report: LEO-II version 1.5

abstract:
  Recent improvements of the LEO-II theorem prover are presented. These
improvements include a revised ATP interface, new translations into first-order
logic, rule support for the axiom of choice, detection of defined equality, and
more flexible strategy scheduling.


title: A Harris-type van der Waals density functional scheme

abstract:
  Large biomolecular systems, whose function may involve thousands of atoms,
cannot easily be addressed with parameter-free density functional theory (DFT)
calculations. Until recently a central problem was that such systems possess an
inherent sparseness, that is, they are formed from components that are mutually
separated by low-electron-density regions where dispersive forces contribute
significantly to the cohesion and behavior. The introduction of, for example,
the van der Waals density functional (vdW-DF) method [PRL 92, 246401 (2004)]
has addressed part of this sparse-matter system challenge. However, while a
vdW-DF study is often as computationally efficient as a study performed in the
generalized gradient approximation, the scope of large-sparse-matter DFT is
still limited by computer time and memory. It is costly to self-consistently
determine the electron wavefunctions and hence the kinetic-energy repulsion. In
this paper we propose and evaluate an adaption of the Harris scheme [PRB 31,
1770 (1985)]. This is done to speed up non-selfconsistent vdW-DF studies of
molecular-system interaction energies. Also, the Harris-type analysis
establishes a formal link between dispersion-interaction effects on the
effective potential for electron dynamics and the impact of including
selfconsistency in vdW-DF calculations [PRB 76, 125112 (2007)].


abstract:
  For a complete description of the physical properties of low-energy QCD, it
might be advantageous to first reformulate QCD in terms of gauge-invariant
dynamical variables, before applying any approximation schemes. Using a
canonical transformation of the dynamical variables, which Abelianises the
non-Abelian Gauss-law constraints to be implemented, such a reformulation can
be achieved for QCD. The exact implementation of the Gauss laws reduces the
colored spin-1 gluons and spin-1/2 quarks to unconstrained colorless spin-0,
spin-1, spin-2 and spin-3 glueball fields and colorless Rarita-Schwinger fields
respectively. The obtained physical Hamiltonian can then be rewritten into a
form, which separates the rotational from the scalar degrees of freedom, and
admits a systematic strong-coupling expansion in powers of lambda=g^{-2/3},
equivalent to an expansion in the number of spatial derivatives. The
leading-order term in this expansion corresponds to non-interacting
hybrid-glueballs, whose low-lying masses can be calculated with high accuracy
by solving the Schr\"odinger-equation of the Dirac-Yang-Mills quantum mechanics
of spatially constant physical fields (at the moment only for the 2-color
case). Due to the presence of classical zero-energy valleys of the
chromomagnetic potential for two arbitrarily large classical glueball fields
(the unconstrained analogs of the well-known constant Abelian fields),
practically all glueball excitation energy is expected to go into the increase
of the strengths of these two fields. Higher-order terms in lambda lead to
interactions between the hybrid-glueballs and can be taken into account
systematically using perturbation theory in lambda.


title: Online Social Networks: Threats and Solutions

abstract:
  Many online social network (OSN) users are unaware of the numerous security
risks that exist in these networks, including privacy violations, identity
theft, and sexual harassment, just to name a few. According to recent studies,
OSN users readily expose personal and private details about themselves, such as
relationship status, date of birth, school name, email address, phone number,
and even home address. This information, if put into the wrong hands, can be
used to harm users both in the virtual world and in the real world. These risks
become even more severe when the users are children. In this paper we present a
thorough review of the different security and privacy risks which threaten the
well-being of OSN users in general, and children in particular. In addition, we
present an overview of existing solutions that can provide better protection,
security, and privacy for OSN users. We also offer simple-to-implement
recommendations for OSN users which can improve their security and privacy when
using these platforms. Furthermore, we suggest future research directions.


title: Computational study of flow dynamics from a dc arc plasma jet

abstract:
  Plasma jets produced by direct-current (DC) non-transferred arc plasma
torches, at the core of technologies ranging from spray coating to pyrolysis,
present intricate dynamics due to the coupled interaction of fluid flow,
thermal, and electromagnetic phenomena. The flow dynamics from an arc discharge
plasma jet are investigated using time-dependent three-dimensional simulations
encompassing the dynamics of the arc inside the torch, the evolution of the jet
through the discharge environment, and the subsequent impingement of the jet
over a flat substrate. The plasma is described by a chemical equilibrium and
thermodynamic nonequilibrium (two-temperature) model. The numerical formulation
of the physical model is based on a monolithic and fully-coupled treatment of
the fluid and electromagnetic equations using a Variational Multiscale Finite
Element Method. Simulation results uncover distinct aspects of the flow
dynamics, including the jet forcing due to the movement of the electric arc,
the prevalence of deviations between heavy-species and electron temperatures in
the plasma fringes, the development of shear flow instabilities around the jet,
the occurrence of localized regions with high electric fields far from the arc,
and the formation and evolution of coherent flow structures.

categories: physics.comp-ph math-ph math.MP physics.flu-dyn physics.plasm-ph


title: Fundamental domains for properly discontinuous affine groups

abstract:
  We construct a fundamental region for the action on the $2d+1$-dimensional
affine space of some free, discrete, properly discontinuous groups of affine
transformations preserving a quadratic form of signature $(d+1, d)$, where $d$
is any odd positive integer.


title: Algebraic and Affine Pattern Avoidance

abstract:
  We investigate various connections between the 0-Hecke monoid, Catalan
monoid, and pattern avoidance in permutations, providing new tools for
approaching pattern avoidance in an algebraic framework. In particular, we
characterize containment of a class of `long' patterns as equivalent to the
existence of a corresponding factorization. We then generalize some of our
constructions to the affine setting.


title:
Entanglement Amplification in the Non-Perturbative Dynamics of Modular
  Quantum Systems

abstract:
  We analyze the conditions for entanglement amplification between distant and
not directly interacting quantum objects by their common coupling to media with
static modular structure and subject to a local (single-bond) quenched
dynamics. We show that in the non-perturbative regime of the dynamics the
initial end-to-end entanglement is strongly amplified and, moreover, can be
distributed efficiently between distant objects. Due to its intrinsic local and
non-perturbative nature the dynamics is fast and robust against thermal
fluctuations, and its control is undemanding. We show that the origin of
entanglement amplification lies in the interference of the ground state and at
most one of the low-lying energy eigenstates. The scheme can be generalized to
provide a fast and efficient router for generating entanglement between
simultaneous multiple users.


title:
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck
  Equations

abstract:
  A macroscopic model to describe the dynamics of ion transport in ion channels
is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a
finite-difference method for solving PNP equations, which is second-order
accurate in both space and time. We use the physical parameters specifically
suited toward the modelling of ion channels. We present a simple iterative
scheme to solve the system of nonlinear equations resulting from discretizing
the equations implicitly in time, which is demonstrated to converge in a few
iterations. We place emphasis on ensuring numerical methods to have the same
physical properties that the PNP equations themselves also possess, namely
conservation of total ions and correct rates of energy dissipation. We describe
in detail an approach to derive a finite-difference method that preserves the
total concentration of ions exactly in time. Further, we illustrate that, using
realistic values of the physical parameters, the conservation property is
critical in obtaining correct numerical solutions over long time scales.


title: On massless and spinless particles with varying speed

abstract:
  The wave equation for spin-0 massless particles with the Lorentz violating
term leading to varying speed of particles is considered. This equation is
represented as the first-order 6$\times$6 matrix equation. Solutions of the
equation in the form of projection matrix are obtained. The Schr\"{o}dinger
form of the equation is obtained and the quantum-mechanical Hamiltonian is
found.


title: System identification for passive linear quantum systems

abstract:
  System identification is a key enabling component for the implementation of
quantum technologies, including quantum control. In this paper, we consider the
class of passive linear input-output systems, and investigate several basic
questions: (1) which parameters can be identified? (2) Given sufficient
input-output data, how do we reconstruct the system parameters? (3) How can we
optimize the estimation precision by preparing appropriate input states and
performing measurements on the output? We show that minimal systems can be
identified up to a unitary transformation on the modes, and systems satisfying
a Hamiltonian connectivity condition called "infecting" are completely
identifiable. We propose a frequency domain design based on a Fisher
information criterion, for optimizing the estimation precision for coherent
input state. As a consequence of the unitarity of the transfer function, we
show that the Heisenberg limit with respect to the input energy can be achieved
using non-classical input states.


title: Thermoelectric Properties of Polycrystalline NiSi3P4

abstract:
  The Hall and Seebeck coefficients, electrical resistivity and thermal
conductivity of polycrystalline NiSi3P4 were characterized from 2 to 775K.
Undoped NiSi3P4 behaves like a narrow gap semiconductor, with activated
electrical resistivity \rho below room temperature and a large Seebeck
coefficient of ~400uV/K at 300K. Attempts to substitute boron for silicon
resulted in the production of extrinsic holes, yielding moderately-doped
semiconductor behavior with \rho increasing with increasing temperature above
~150\,K. Hall carrier densities are limited to approximately 5x10^{19}/cm^3 at
200K, which would suggest the solubility limit of boron is reached if boron is
indeed incorporated into the lattice. These extrinsic samples have a Hall
mobility of ~12cm^2/V/s at 300K, and a parabolic band equivalent effective mass
of ~3.5 times the free electron mass. At 700,K, the thermoelectric figure of
merit zT reaches ~0.1. Further improvements in thermoelectric performance would
require reaching higher carrier densities, as well as a mechanism to further
reduce the lattice thermal conductivity, which is ~5W/m/K at 700K. Alloying in
Ge results in a slight reduction of the thermal conductivity at low
temperatures, with little influence observed at higher temperatures.


title: Asymptotics of the maximum of Brownian motion under Erlangian sampling

abstract:
  Consider the all-time maximum of a Brownian motion with negative drift.
Assume that this process is sampled at certain points in time, where the time
between two consecutive points is rendered by an Erlang distribution with mean
$1/\omega$. The family of Erlang distributions covers the range between
deterministic and exponential distributions. We show that the average
convergence rate as $\omega\to\infty$ for all such Erlangian sampled Brownian
motions is $O(\omega^{-1/2})$, and that the constant involved in $O$ ranges
from $-\zeta(1/2)/\sqrt{2\pi}$ for deterministic sampling to $1/\sqrt{2}$ for
exponential sampling. The basic ingredients of our analysis are a finite-series
expression for the expected maximum, an asymptotic expansion of
$\sum_{j=1}^{k-1}(1-\exp(2\pi i j/k))^{-s}$, $s\in\mathbb{R}$, as $k\to\infty$
using Euler-Maclaurin summation, and Fourier sampling of functions analytic in
an open set containing the closed unit disk.


title: Methanol adsorption on graphene

abstract:
  The adsorption energies and orientation of methanol on graphene are
determined from first-principles density functional calculations. We employ the
well-tested vdW-DF method that seamlessly includes dispersion interactions with
all of the more close-ranged interactions that result in bonds like the
covalent and hydrogen bonds. The adsorption of a single methanol molecule and
small methanol clusters on graphene are studied at various coverages.
Adsorption in clusters or at high coverages (less than a monolayer) is found to
be preferable, with the methanol C-O axis approximately parallel to the plane
of graphene. The adsorption energies calculated with vdW-DF are compared with
previous DFT-D and MP2-based calculations for single methanol adsorption on
flakes of graphene (polycyclic aromatic hydrocarbons). For the high coverage
adsorption energies we also find reasonably good agreement with previous
desorption measurements.


title:
Approximation for the Distribution of Three-dimensional Discrete Scan
  Statistic

abstract:
  We consider the discrete three dimensional scan statistics. Viewed as the
maximum of an 1-dependent stationary r.v.'s sequence, we provide approximations
and error bounds for the probability distribution of the three dimensional scan
statistics. Importance sampling algorithm is used to obtains sharp bounds for
the simulation error. Simulation results and comparisons with other
approximations are presented for the binomial and Poisson models.


title: Factorization of permutations

abstract:
  We consider the problem of factoring permutations as a product of special
types of transpositions, namely, those transpositions involving two positions
with bounded distances. In particular, we investigate the minimum number,
$\delta$, such that every permutation can be factored into no more than
$\delta$ special transpositions. This study is related to sorting algorithms,
Cayley graphs, and genomics.


title: Alternating Traps in Muller and Parity Games

abstract:
  Muller games are played by two players moving a token along a graph; the
winner is determined by the set of vertices that occur infinitely often. The
central algorithmic problem is to compute the winning regions for the players.
Different classes and representations of Muller games lead to problems of
varying computational complexity. One such class are parity games; these are of
particular significance in computational complexity, as they remain one of the
few combinatorial problems known to be in NP and co-NP but not known to be in
P. We show that winning regions for a Muller game can be determined from the
alternating structure of its traps. To every Muller game we then associate a
natural number that we call its trap-depth; this parameter measures how
complicated the trap structure is. We present algorithms for parity games that
run in polynomial time for graphs of bounded trap depth, and in general run in
time exponential in the trap depth.


title:
Temperature effects on the surface plasmon resonance in copper
  nanoparticles

abstract:
  The temperature dependences of the energy and the width of a surface plasmon
resonance are studied for copper nanoparticles 17 - 59 nm in size in the silica
host matrix in the temperature interval 293 - 460 K. An increase of the
temperature leads to the red shift and the broadening of the surface plasmon
resonance in Cu nanoparticles. The obtained dependences are analyzed within the
framework of a theoretical model considering the thermal expansion of a
nanoparticle, the electron-phonon scattering in a nanoparticle, and the
temperature dependence of the dielectric permittivity of the host matrix. The
thermal expansion is shown to be the main mechanism responsible for the
temperature-induced red shift of the surface plasmon resonance in copper
nanoparticles. The thermal volume expansion coefficient for Cu nanoparticles is
found to be size-independent in the studied size range. Meanwhile, the increase
of the electron-phonon scattering rate with the temperature is shown to be the
dominant mechanism of the surface plasmon resonance broadening in copper
nanoparticles.


title: Epidemic oscillations: Interaction between delays and seasonality

abstract:
  Traditional epidemic models consider that individual processes occur at
constant rates. That is, an infected individual has a constant probability per
unit time of recovering from infection after contagion. This assumption
certainly fails for almost all infectious diseases, in which the infection time
usually follows a probability distribution more or less spread around a mean
value. We show a general treatment for an SIRS model in which both the infected
and the immune phases admit such a description. The general behavior of the
system shows transitions between endemic and oscillating situations that could
be relevant in many real scenarios. The interaction with the other main source
of oscillations, seasonality, is also discussed.


title: Demazure descent and representations of reductive groups

abstract:
  We introduce the notion of Demazure descent data on a triangulated category C
and define the descent category for such data. We illustrate the definition by
our basic example. Let G be a reductive algebraic group with a Borel subgroup
B. Demazure functors form Demazure descent data on the derived category of
Rep(B) and the descent category is equivalent to the derived category of
Rep(G).


title:
A Split-Step Numerical Method for the Time-Dependent Dirac Equation in
  3-D Axisymmetric Geometry

abstract:
  A numerical method is developed to solve the time-dependent Dirac equation in
cylindrical coordinates for 3-D axisymmetric systems. The time evolution is
treated by a splitting scheme in coordinate space using alternate direction
iteration, while the wave function is discretized spatially on a uniform grid.
The longitudinal coordinate evolution is performed exactly by the method of
characteristics while the radial coordinates evolution uses Poisson's integral
solution, which allows to implement the radial symmetry of the wave function.
The latter is evaluated on a time staggered mesh by using Hermite polynomial
interpolation and by performing the integration analytically. The cylindrical
coordinate singularity problem at $r=0$ is circumvented by this method as the
integral is well-defined at the origin. The resulting scheme is reminiscent of
non-standard finite differences. In the last step of the splitting, the
remaining equation has a solution in terms of a time-ordered exponential, which
is approximated to a higher order than the time evolution scheme. We study the
time evolution of Gaussian wave packets, and we evaluate the eigenstates of
hydrogen-like systems by using a spectral method. We compare the numerical
results to analytical solutions to validate the method. In addition, we present
three-dimensional simulations of relativistic laser-matter interactions, using
the Dirac equation.


title: Optical Design and Active Optics Methods in Astronomy

abstract:
  Optical designs for astronomy involve implementation of active optics and
adaptive optics from X-ray to the infrared. Developments and results of active
optics methods for telescopes, spectrographs and coronagraph planet finders are
presented. The high accuracy and remarkable smoothness of surfaces generated by
active optics methods also allow elaborating new optical design types with high
aspheric and/or non-axisymmetric surfaces. Depending on the goal and
performance requested for a deformable optical surface analytical
investigations are carried out with one of the various facets of elasticity
theory: small deformation thin plate theory, large deformation thin plate
theory, shallow spherical shell theory, weakly conical shell theory. The
resulting thickness distribution and associated bending force boundaries can be
refined further with finite element analysis. Keywords: active optics, optical
design, elasticity theory, astronomical optics, diffractive optics, X-ray
optics


title: Connection times in large ad-hoc mobile networks

abstract:
  We study connectivity properties in a probabilistic model for a large mobile
ad-hoc network. We consider a large number of participants of the system moving
randomly, independently and identically distributed in a large domain, with a
space-dependent population density of finite, positive order and with a fixed
time horizon. Messages are instantly transmitted according to a relay
principle, that is, they are iteratively forwarded from participant to
participant over distances smaller than the communication radius until they
reach the recipient. In mathematical terms, this is a dynamic continuum
percolation model. We consider the connection time of two sample participants,
the amount of time over which these two are connected with each other. In the
above thermodynamic limit, we find that the connectivity induced by the system
can be described in terms of the counterplay of a local, random and a global,
deterministic mechanism, and we give a formula for the limiting behaviour. A
prime example of the movement schemes that we consider is the well-known random
waypoint model. Here, we give a negative upper bound for the decay rate, in the
limit of large time horizons, of the probability of the event that the portion
of the connection time is less than the expectation.


title: A note on the Weiss conjecture

abstract:
  Let $G$ be a finite group acting vertex-transitively on a graph. We show that
bounding the order of a vertex stabilizer is equivalent to bounding the second
singular value of a particular bipartite graph. This yields an alternative
formulation of the Weiss Conjecture.


title: The Dyck pattern poset

abstract:
  We introduce the notion of pattern in the context of lattice paths, and
investigate it in the specific case of Dyck paths. Similarly to the case of
permutations, the pattern-containment relation defines a poset structure on the
set of all Dyck paths, which we call the Dyck pattern poset. Given a Dyck path
P, we determine a formula for the number of Dyck paths covered by P, as well as
for the number of Dyck paths covering P. We then address some typical
pattern-avoidance issues, enumerating some classes of pattern-avoiding Dyck
paths. Finally, we offer a conjecture concerning the asymptotic behavior of the
sequence counting Dyck paths avoiding a generic pattern and we pose a series of
open problems regarding the structure of the Dyck pattern poset.


title:
Reproducible synthetic method for the topological superconductor
  CuxBi2Se3

abstract:
  We report a reproducible synthetic method for superconducting Cu-intercalated
Bi2Se3 by an improved melt growth method. Avoiding the production of Cu2Se,
which has a higher melting point than that of Bi2Se3, and quenching Cu-Bi-Se
mixtures at the liquid phase are keys to obtaining good superconducting samples
in a reproducible manner.


title: Encyclopaedia Inflationaris

abstract:
  The current flow of high accuracy astrophysical data, among which are the
Cosmic Microwave Background (CMB) measurements by the Planck satellite, offers
an unprecedented opportunity to constrain the inflationary theory. This is
however a challenging project given the size of the inflationary landscape
which contains hundreds of different scenarios. Given that there is currently
no observational evidence for primordial non-Gaussianities, isocurvature
perturbations or any other non-minimal extension of the inflationary paradigm,
a reasonable approach is to consider the simplest models first, namely the
slow-roll single field models with minimal kinetic terms. This still leaves us
with a very populated landscape, the exploration of which requires new and
efficient strategies. It has been customary to tackle this problem by means of
approximate model independent methods while a more ambitious alternative is to
study the inflationary scenarios one by one. We have developed the new publicly
available runtime library ASPIC to implement this last approach. The ASPIC code
provides all routines needed to quickly derive reheating consistent observable
predictions within this class of scenarios. ASPIC has been designed as an
evolutive code which presently supports 74 different models, a number that may
be compared with three or four representing the present state of the art. In
this paper, for each of the ASPIC models, we present and collect new results in
a systematic manner, thereby constituting the first Encyclopaedia
Inflationaris. Finally, we discuss how this procedure and ASPIC could be used
to determine the best model of inflation by means of Bayesian inference.


title: One-loop Amplitudes as BPS state sums

abstract:
  We review a novel method for evaluating one-loop BPS-saturated amplitudes in
string theory. Contrary to traditional techniques of unfolding the fundamental
domain F against the Narain lattice, which are only valid in certain regions of
the moduli space and which obscure the T- duality invariance of the result, we
will describe how the elliptic genus can be represented as a linear combination
of certain absolutely convergent Poincar\'e series, against which F can be
unfolded. The result can be expressed as a sum of one-loop contributions of
perturbative BPS-states in a manifestly T-duality invariant fashion, valid at
any point of (the perturbative) moduli space. Within this framework, the
singularity structure of amplitudes around points of gauge symmetry enhancement
becomes crystal clear and a series of applications is given in order to better
illustrate the power of this approach.


title: On monomial curves obtained by gluing

abstract:
  We study arithmetic properties of tangent cones associated to affine monomial
curves, using the concept of gluing. In particular we characterize the
Cohen-Macaulay and Gorenstein properties of tangent cones of some families of
monomial curves obtained by gluing. Moreover, we provide new families of
monomial curves with non--decreasing Hilbert functions.


title: The Casimir-Effect: No Manifestation of Zero-Point Energy

abstract:
  The attractive force between metallic surfaces, predicted by Casimir in 1948,
seems to indicate the physical existence and measurability of the quantized
electromagnetic field's zero-point energy. It is shown in this article, that
the measurements of that force do not confirm Casimir's model, but in fact
disprove it's foundational assumption that metal plates may be represented in
the theory by quantum-field-theoretical boundaries. The consequences for the
cosmological constant problem are discussed.


title:
Entropy-dissipative discretization of nonlinear diffusion equations and
  discrete Beckner inequalities

abstract:
  The time decay of fully discrete finite-volume approximations of
porous-medium and fast-diffusion equations with Neumann or periodic boundary
conditions is proved in the entropy sense. The algebraic or exponential decay
rates are computed explicitly. In particular, the numerical scheme dissipates
all zeroth-order entropies which are dissipated by the continuous equation. The
proofs are based on novel continuous and discrete generalized Beckner
inequalities. Furthermore, the exponential decay of some first-order entropies
is proved in the continuous and discrete case using systematic integration by
parts. Numerical experiments in one and two space dimensions illustrate the
theoretical results and indicate that some restrictions on the parameters seem
to be only technical.


title: Homometry in the light of coherent beams

abstract:
  Two systems are homometric if they are indistinguishable by diffraction. We
first make a distinction between Bragg and diffuse scattering homometry, and
show that in the last case, coherent diffraction can allow the diffraction
diagrams to be differentiated. The study of the Rudin-Shapiro sequence,
homometric to random sequences, allows one to manipulate independently
two-point and four-point correlation functions, and to show their effect on the
statistics of speckle patterns. Consequences for the study of real materials is
discussed.


title: The Distribution of Ramsey Numbers

abstract:
  We prove that the number of integers in the interval [0,x] that are
non-trivial Ramsey numbers r(k,n) (3 <= k <= n) has order of magnitude (x ln
x)**(1/2).

categories: math.CO cs.DM math-ph math.MP physics.comp-ph quant-ph


title: How to find G-admissible abelian coverings of a graph?

abstract:
  Given a finite connected simple graph $\Gamma$, and a subgroup $G$ of its
automorphism group, a general method for finding all finite abelian regular
coverings of $\Gamma$ that admit a lift of each element of $G$ is developed. As
an application, all connected arc-transitive abelian regular coverings of the
Petersen graph are classified up to isomorphism.


title: Equilibration of a Tonks-Girardeau gas following a trap release

abstract:
  We study the non-equilibrium dynamics of a Tonks-Girardeau gas released from
a parabolic trap to a circle. We present the exact analytic solution of the
many body dynamics and prove that, for large times and in a properly defined
thermodynamic limit, the reduced density matrix of any finite subsystem
converges to a generalized Gibbs ensemble. The equilibration mechanism is
expected to be the same for all one-dimensional systems.


title:
The conservation of information, towards an axiomatized modular modeling
  approach to congestion control

abstract:
  We derive a modular fluid-flow network congestion control model based on a
law of fundamental nature in networks: the conservation of information. Network
elements such as queues, users, and transmission channels and network
performance indicators like sending/acknowledgement rates and delays are
mathematically modelled by applying this law locally. Our contributions are
twofold. First, we introduce a modular metamodel that is sufficiently generic
to represent any network topology. The proposed model is composed of building
blocks that implement mechanisms ignored by the existing ones, which can be
recovered from exact reduction or approximation of this new model. Second, we
provide a novel classification of previously proposed models in the literature
and show that they are often not capable of capturing the transient behavior of
the network precisely. Numerical results obtained from packet-level simulations
demonstrate the accuracy of the proposed model.

categories: cs.NI cs.SY math.CA math.OC physics.flu-dyn


title:
Entire solutions with exponential growth for an elliptic system modeling
  phase-separation

abstract:
  We prove the existence of entire solutions with exponential growth for the
semilinear elliptic system [\begin{cases} -\Delta u = -u v^2 & \text{in $\R^N$}
-\Delta v= -u^2 v & \text{in $\R^N$} u,v>0, \end{cases}] for every $N \ge 2$.
Our construction is based on an approximation procedure, whose convergence is
ensured by suitable Almgren-type monotonicity formulae. The construction of
\emph{some} solutions is extended to systems with $k$ components, for every $k
> 2$.


title: Simple Manipulation of a Microwave Dressed-State Ion Qubit

abstract:
  Many schemes for implementing quantum information processing require that the
atomic states used have a non-zero magnetic moment, however such magnetically
sensitive states of an atom are vulnerable to decoherence due to fluctuating
magnetic fields. Dressing an atom with an external field is a powerful method
of reducing such decoherence [N. Timoney et al., Nature 476, 185], even if the
states being dressed are strongly coupled to the environment. We introduce an
experimentally simpler method of manipulating such a dressed-state qubit, which
allows the implementation of general rotations of the qubit, and demonstrate
this method using a trapped ytterbium ion.


title: BRST Theory for Continuous Spin

abstract:
  Some puzzling aspects of higher spin field theory in Minkowski space-time,
such as the tracelessness constraints and the search for an underlying physical
principle, are discussed. A connecting idea might be provided by the recently
much researched continuous spin representations of the Poincar\'e group. The
Wigner equations, treated as first class constraints, yields to a
four-constraint BRST formulation. The resulting field theory, generalizing free
higher spin field theory, is one among a set of higher spin theories that can
be related to previous work on unconstrained formulations. In particular, it is
conjectured that the unconstrained higher spin theory of Francia and Sagnotti
is a limit of a continuous spin theory. Furthermore, a simple analysis of the
constraint structure reveals a hint of a physical rationale behind the trace
constraints.


title: Dark energy and the structure of the Coma cluster of galaxies

abstract:
  {We consider the Coma cluster of galaxies as a gravitationally bound physical
system embedded in the perfectly uniform static dark energy background as
implied by the $\Lambda$CDM cosmology.} {We ask if the density of dark energy
is high enough to affect the structure of a large rich cluster of galaxies?}
{We use recent observational data on the cluster together with our theory of
local dynamical effects of dark energy, including the zero-gravity radius
$R_{\rm ZG}$ of the local force field as the key parameter.} {1) Three masses
are defined which characterize the structure of a regular cluster: the matter
mass $M_{\rm M}$, the dark-energy effective mass $M_{\rm DE}$ ($<0$) and the
gravitating mass $M_{\rm G}$ ($= M_{\rm M} + M_{\rm DE}$). 2) A new matter
density profile is suggested which reproduces well the observational data for
the Coma cluster in the radius range from 1.4 Mpc to 14 Mpc and takes into
account the dark energy background. 3) Using this profile, we calculate upper
limits for the total size of the Coma cluster, $R \le R_{\rm ZG} \approx 20$
Mpc, and its total matter mass, $M_{\rm M} \la M_{\rm M}(R_{\rm ZG}) = 6.2
\times 10^{15} M_{\odot}$.} {The dark energy antigravity affects strongly the
structure of the Coma cluster at large radii $R \ga 14$ Mpc and should be taken
into account when its total mass is derived.}


title:
The GL(4 R) Yang-Mills Theory of Gravity Predicts An Inflationary
  Scenario For The Evolution of The Primordial Universe

abstract:
  We show that the GL(4 R) gauge theory of gravity will admit an exponentially
expanding solution for the primordial evolution of the Universe. This
inflationary phase of the Universe is driven by a rapidly changing GL(4 R)
gauge field configuration. No cosmological constant and no rolling scalar field
is required. This inflationary expansion will then be shown to slow down to a
much slower expansion rate during the late time evolution of the Universe.


title: Some remarks on Tr\`eves' conjecture

abstract:
  I will give a discussion of the conditions involved in Treves' conjecture on
analytic hypoellipticity. I will discuss some microlocally characteristic sets
and introduce a topology of monotropic functionals as suitable for solving the
conjecture. The pseudodifferential operator representation is inspired by
Cousin.


title: HAWK-I infrared supernova search in starburst galaxies

abstract:
  The use of SN rates to probe explosion scenarios and to trace the cosmic star
formation history received a boost from a number of synoptic surveys. There has
been a recent claim of a mismatch by a factor of two between star formation and
core collapse SN rates, and different explanations have been proposed for this
discrepancy.} We attempted an independent test of the relation between star
formation and supernova rates in the extreme environment of starburst galaxies,
where both star formation and extinction are extremely high. To this aim we
conducted an infrared supernova search in a sample of local starburts galaxies.
The rational to search in the infrared is to reduce the bias due to extinction,
which is one of the putative reasons for the observed discrepancy between star
formation and supernova rates. To evaluate the outcome of the search we
developed a MonteCarlo simulation tool that is used to predict the number and
properties of the expected supernovae based on the search characteristics and
the current understanding of starburst galaxies and supernovae. During the
search we discovered 6 supernovae (4 with spectroscopic classification) which
is in excellent agreement with the prediction of the MonteCarlo simulation tool
that is, on average, $5.3\pm2.3$ events. The number of supernovae detected in
starburst galaxies is consistent with that predicted from their high star
formation rate when we recognize that a major fraction ($\sim 60%$) of the
events remains hidden in the unaccessible, high density nuclear regions because
of a combination of reduced search efficiency and high extinction.


title:
Generalized parton distributions of 3He and the neutron orbital
  structure

abstract:
  The two leading twist, quark helicity conserving generalized parton
distributions (GPDs) of 3He, accessible, for example, in coherent deeply
virtual Compton scattering (DVCS), are calculated in impulse approximation
(IA). Their sum, at low momentum transfer, is found to be largely dominated by
the neutron contribution, so that 3He is very promising for the extraction of
the neutron information. Anyway, such an extraction could be not trivial. A
technique, able to take into account the nuclear effects included in the IA
analysis in the extraction procedure, even at moderate values of the momentum
transfer, is proposed. Coherent DVCS arises therefore as a crucial experiment
to access, for the first time, the neutron GPDs and the orbital angular
momentum of the partons in the neutron.