title:
voFoam - A geometrical Volume of Fluid algorithm on arbitrary
  unstructured meshes with local dynamic adaptive mesh refinement using
  OpenFOAM

abstract:
  A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with
support for arbitrary unstructured meshes and dynamic local Adaptive Mesh
Refinement (AMR), as well as for two and three dimensional computation is
developed. The geometrical VoF algorithm supports arbitrary unstructured meshes
in order to enable computations involving flow domains of arbitrary geometrical
complexity. The implementation of the method is done within the framework of
the OpenFOAM library for Computational Continuum Mechanics (CCM) using the C++
programming language with modern policy based design for high program code
modularity. The development of the geometrical VoF algorithm significantly
extends the method base of the OpenFOAM library by geometrical volumetric flux
computation for two-phase flow simulations.
  For the volume fraction advection, a novel unsplit geometrical algorithm is
developed, which inherently sustains volume conservation utilizing unique
Lagrangian discrete trajectories located in the mesh points. This practice
completely eliminates the possibility of an overlap between the flux polyhedra
and hence significantly increases volume conservation. A new efficient
(quadratic convergent) and accurate iterative flux correction algorithm is
developed, which avoids topological changes of the flux polyhedra. Our
geometrical VoF algorithm is dimension agnostic, providing automatic support
for both 2D and 3D computations, following the established practice in
OpenFOAM. The geometrical algorithm used for the volume fraction transport has
been extended to support dynamic local AMR available in OpenFOAM. Furthermore,
the existing dynamic mesh capability of OpenFOAM has been modified to support
the geometrical mapping algorithm executed as a part of the dynamic local AMR
cycle. The method implementation is fully parallelized using the domain
decomposition approach.


title: Dynamical correlations in the escape strategy of Influenza A virus

abstract:
  The evolutionary dynamics of human Influenza A virus presents a challenging
theoretical problem. An extremely high mutation rate allows the virus to
escape, at each epidemic season, the host immune protection elicited by
previous infections. At the same time, at each given epidemic season a single
quasi-species, that is a set of closely related strains, is observed. A
non-trivial relation between the genetic (i.e., at the sequence level) and the
antigenic (i.e., related to the host immune response) distances can shed light
into this puzzle. In this paper we introduce a model in which, in accordance
with experimental observations, a simple interaction rule based on spatial
correlations among point mutations dynamically defines an immunity space in the
space of sequences. We investigate the static and dynamic structure of this
space and we discuss how it affects the dynamics of the virus-host interaction.
Interestingly we observe a staggered time structure in the virus evolution as
in the real Influenza evolutionary dynamics.


title: Multi-channel modeling and two photon coherent transfer paths in NaK

abstract:
  We explore possible pathways for the creation of ultracold polar NaK
molecules in their absolute electronic and rovibrational ground state starting
from ultracold Feshbach molecules. In particular, we present a multi-channel
analysis of the electronic ground and K(4p)+Na(3s) excited state manifold of
NaK, analyze the spin character of both the Feshbach molecular state and the
electronically excited intermediate states and discuss possible coherent
two-photon transfer paths from Feshbach molecules to rovibronic ground state
molecules. The theoretical study is complemented by the demonstration of STIRAP
transfer from the X^1\Sigma^+ (v=0) state to the a^3\Sigma^+ manifold on a
molecular beam experiment.


title:
Complete arcs and complete caps from cubics with an isolated double
  point

abstract:
  Small complete arcs and caps in Galois spaces over finite fields $\fq$ with
characteristic greater than 3 are constructed from cubic curves with an
isolated double point. For $m$ a divisor of $q+1$, complete plane arcs of size
approximately $q/m$ are obtained, provided that $(m,6)=1$ and
$m<\{1}{4}q^{1/4}$. If in addition $m=m_1m_2$ with $(m_1,m_2)=1$, then complete
caps of size approximately $\{m_1+m_2}{m}q^{N/2}$ in affine spaces of dimension
$N\equiv 0 \pmod 4$ are constructed.


title:
Mode-sum construction of the two-point functions for the Stueckelberg
  vector fields in the Poincar\'e patch of de Sitter space

abstract:
  We perform canonical quantization of the Stueckelberg Lagrangian for massive
vector fields in the conformally flat patch of de Sitter space in the
Bunch-Davies vacuum and find their Wightman two-point functions by the mode-sum
method. We discuss the zero-mass limit of these two-point functions and their
limits where the Stueckelberg parameter $\xi$ tends to zero or infinity. It is
shown that our results reproduce the standard flat-space propagator in the
appropriate limit. We also point out that the classic work of Allen and
Jacobson for the two-point function of the Proca field and a recent work by
Tsamis and Woodard for that of the transverse vector field are two limits of
our two-point function, one for $\xi \to \infty$ and the other for $\xi \to 0$.
Thus, these two works are consistent with each other, contrary to the claim by
the latter authors.


title: Almost Lossless Analog Signal Separation

abstract:
  We propose an information-theoretic framework for analog signal separation.
Specifically, we consider the problem of recovering two analog signals from a
noiseless sum of linear measurements of the signals. Our framework is inspired
by the groundbreaking work of Wu and Verd\'u (2010) on almost lossless analog
compression. The main results of the present paper are a general achievability
bound for the compression rate in the analog signal separation problem, an
exact expression for the optimal compression rate in the case of signals that
have mixed discrete-continuous distributions, and a new technique for showing
that the intersection of generic subspaces with subsets of sufficiently small
Minkowski dimension is empty. This technique can also be applied to obtain a
simplified proof of a key result in Wu and Verd\'u (2010).


title:
Performance of a Remotely Located Muon Radiography System to Identify
  the Inner Structure of a Nuclear Plant

abstract:
  The performance of a muon radiography system designed to image the inner
structure of a nuclear plant located at a distance of 64 m was evaluated. We
concluded absence of the fuel in the pressure vessel during the measurement
period and succeeded in profiling the fuel material placed in the storage pool.
The obtained data also demonstrated the sensitivity of the system to water
level changes in the reactor well and the dryer-separator pool. It is expected
that the system could reconstruct a 2 m cubic fuel object easily. By operating
multiple systems, typically four identical systems, viewing the reactor from
different directions simultaneously, detection of a 1 m cubic object should
also be achievable within a few month period.


title: Modelling the recurrent nova U Scorpii in quiescence

abstract:
  VLT and SALT spectroscopy of U Sco were obtained $\sim$18 and $\sim$30 months
after the 2010 outburst. From these spectra the accretion disc is shown to take
at least 18 months to become fully reformed. The spectral class of the
companion is constrained to be F8$^{+5}_{-6}$\,IV-V at the 95% confidence level
when the irradiated face of the companion is visible.


title:
Gradient dynamics description for films of mixtures and suspensions -
  the case of dewetting triggered by coupled film height and concentration
  fluctuations

abstract:
  A gradient dynamics model based on an extended interface Hamiltonian is
presented that is able to describe the dynamics of structuring processes in
thin films of liquid mixtures, solutions and suspensions on solid substrates
including coupled dewetting and decomposition. After discussing known limiting
cases the model is employed to investigate the dewetting of thin films of
liquid mixtures and suspensions under the influence of effective long-range van
der Waals forces that depend on solute concentration. The occurring fluxes are
discussed and it is shown that spinodal dewetting may be triggered through the
coupling of film height and concentration fluctuations. Fully nonlinear
calculations provide the time evolution and resulting steady film height and
concentration profiles.

categories: cond-mat.soft nlin.PS physics.chem-ph physics.flu-dyn


title: Anisotropy of flow in stochastically generated porous media

abstract:
  Models of porous media are often applied to relatively small systems, which
leads not only to system-size-dependent results, but also to phenomena that
would be absent in larger systems. Here we investigate one such finite-size
effect: anisotropy of the permeability tensor. We show that a non-zero angle
between the external body force and macroscopic flux vector exists in
three-dimensional periodic models of sizes commonly used in computer
simulations and propose a criterion, based on the system size to the grain size
ratio, for this phenomenon to be relevant or negligible. The finite-size
anisotropy of the porous matrix induces a pressure gradient perpendicular to
the axis of a porous duct and we analyze how this effect scales with the system
and grain sizes.


title: Relativistic SU(3) chiral baryon-baryon Lagrangian up to order q^2

abstract:
  We construct the most general chiral effective Lagrangian for baryon-baryon
contact interactions in flavor SU(3) up to order q^2 using a covariant power
counting. A subset of these contact terms contributes to the baryon-baryon
potential in chiral effective field theory. The Lorentz invariant effective
Lagrangian is constructed to fulfill the invariance under charge conjugation,
parity transformation, Hermitian conjugation and the local chiral symmetry
group SU(3)_L x SU(3)_R. Goldstone bosons and external fields are included as
well, thus providing additional four-baryon contact vertices involving e.g.
pseudoscalar mesons and/or photons. In order to eliminate the linearly
dependent terms, we use the Fierz identities, the equations of motion, and a
Cayley-Hamilton relation for SU(3). As an application the baryon-baryon
scattering contact potentials in low partial waves are considered.


title: Photoluminescence in Ga/Bi co-doped silica glass

abstract:
  Bismuth-Gallium co-doped silica glass fiber preform was prepared from
nano-porous silica xerogels using a conventional solution doping technique with
a heterotrinuclear complex and subsequent sintering. Ga-connected optical
Bismuth active center (BAC) was identified as the analogue of Al-connected BAC.
Visible and infrared photoluminescence (PL) were investigated in a wide
temperature range of 1.46-300 K. Based on the results of the continuous wave
(CW) and time resolved spectroscopy we identify the centers emitting in the
spectral region of 480-820 nm as Bi$^+$ ions. The near infrared (NIR) PL around
1100 nm consists of two bands. While the first one can be ascribed to the
transition in Bi$^+$ ion, the second band is presumably associated to defects.
We put in evidence the energy transfer between Bi$^+$ ions and the second NIR
emitting center via quadrupole-quadrupole and dipole-quadrupole mechanisms of
interactions. Finally, we propose the energy level diagram of Bi$^+$ ion
interacting with this defect.


title:
Commuting elements in reductive groups and Higgs bundles on abelian
  varieties

abstract:
  Let G be a connected real reductive algebraic group, and let K be a maximal
compact subgroup of G. We prove that the conjugation orbit space
Hom(Z^{2d},K)/K is a strong deformation retract of the space Hom(Z^{2d},G)/G of
equivalence classes of representations of Z^{2d} into G. This is proved by
showing that the homotopy type of the moduli space of principal G-Higgs bundles
of vanishing rational characteristic classes on a complex abelian variety of
dimension d depends only on K.


title:
Invariant connections and invariant holomorphic bundles on homogeneous
  manifolds

abstract:
  Let $X$ be a differentiable manifold endowed with a transitive action
$\alpha:A\times X\longrightarrow X$ of a Lie group $A$. Let $K$ be a Lie group.
Under suitable technical assumptions, we give explicit classification theorems,
in terms of explicit finite dimensional quotients, of three classes of objects:
{enumerate} equivalence classes of $\alpha$-invariant $K$-connections on $X$,
  $\alpha$-invariant gauge classes of $K$-connections on $X$, and
  $\alpha$-invariant isomorphism classes of pairs $(Q,P)$ consisting of a
holomorphic $K^\C$-bundle $Q\longrightarrow X$ and a $K$-reduction $P$ of $Q$
(when $X$ has an $\alpha$-invariant complex structure). {enumerate}


title:
Direct Detection of the Tertiary Component in the Massive Multiple HD
  150 136 with VLTI

abstract:
  Massive stars are of fundamental importance for almost all aspects of
astrophysics, but there still exist large gaps in our understanding of their
properties and formation because they are rare and therefore distant. It has
been found that most O-stars are multiples. HD 150 136 is the nearest system to
Earth with >100 M_sol, and provides a unique opportunity to study an extremely
massive system. Recently, evidence for the existence of a third component in HD
150 136, in addition to the tight spectroscopic binary that forms the main
component, was found in spectroscopic observations. Our aim was to image and
obtain astrometric and photometric measurements of this component using long
baseline optical interferometry to further constrain the nature of this
component. We observed HD150136 with the near-infrared instrument AMBER
attached to the ESO VLT Interferometer. The recovered closure phases are robust
to systematic errors and provide unique information on the source asymmetry.
Therefore, they are of crucial relevance for both image reconstruction and
model fitting of the source structure. The third component in HD 150 136 is
clearly detected in the high-quality data from AMBER. It is located at a
projected angular distance of 7.3 mas, or about 13 AU at the line-of-sight
distance of HD 150 136, at a position angle of 209 degrees East of North, and
has a flux ratio of 0.25 with respect to the inner binary. We resolved the
third component of HD 150 136 in J, H and K filters. The luminosity and color
of the tertiary agrees with the predictions and shows that it is also an O
main-sequence star. The small measured angular separation indicates that the
tertiary may be approaching the periastron of its orbit. These results, only
achievable with long baseline near infrared interferometry, constitute the
first step towards the understanding of the massive star formation mechanisms.


title:
G - functors arising from categorical group actions on abelian
  categories

abstract:
  A Mackey type decomposition for group actions on abelian categories is
described. This allows us to define new Mackey functors which associates to any
subgroup the $K$-theory of the corresponding equivariantized abelian category.
In the case of an action by tensor autoequivalences the Mackey functor at the
level of Grothendieck rings has a Green functor structure. As an application we
give a description of the Grothendieck rings of equivariantized fusion
categories under group actions by tensor autoequivalences on graded fusion
categories.


title: Monte Carlo approximation to optimal investment

abstract:
  This paper sets up a methodology for approximately solving optimal investment
problems using duality methods combined with Monte Carlo simulations. In
particular, we show how to tackle high dimensional problems in incomplete
markets, where traditional methods fail due to the curse of dimensionality.


title:
The Utility of Naturalness, and how its Application to Quantum
  Electrodynamics envisages the Standard Model and Higgs Boson

abstract:
  With the Higgs boson discovery and no new physics found at the LHC,
confidence in Naturalness as a guiding principle for particle physics is under
increased pressure. We wait to see if it proves its mettle in the LHC upgrades
ahead, and beyond. In the meantime, in a series of "realistic intellectual
leaps" I present a justification {\it a posteriori} of the Naturalness
criterion by suggesting that uncompromising application of the principle to
quantum electrodynamics leads toward the Standard Model and Higgs boson without
additional experimental input. Potential lessons for today and future theory
building are commented upon.


title: D meson production in Pb-Pb collisions with the ALICE detector

abstract:
  Open heavy-flavour hadrons are a powerful tool to investigate the properties
of the high-density medium created in heavy-ion collisions at high energies as
they come from the hadronization of heavy quarks. The latter are created in the
early stage of the interaction and experience the whole collision history.
Heavy quarks in-medium energy loss can be investigated by comparing the
heavy-flavour production cross sections in p-p and nucleus-nucleus collisions.
In addition, initial spatial anisotropy of the fireball is converted into
momentum anysotropy of final state particles, in particular the elliptic flow.
D mesons are identifed from their hadronic decays which can be reconstructed in
the central rapidity region using the tracking and PID detectors of the ALICE
detector.


title: The Progenitor of Supernova 2011dh Has Vanished

abstract:
  We conducted Hubble Space Telescope (HST) Snapshot observations of the Type
IIb Supernova (SN) 2011dh in M51 at an age of ~641 days with the Wide Field
Camera 3. We find that the yellow supergiant star, clearly detected in pre-SN
HST images, has disappeared, implying that this star was almost certainly the
progenitor of the SN. Interpretation of the early-time SN data which led to the
inference of a compact nature for the progenitor, and to the expected survival
of this yellow supergiant, is now clearly incorrect. We also present
ground-based UBVRI light curves obtained with the Katzman Automatic Imaging
Telescope (KAIT) at Lick Observatory up to SN age ~70 days. From the
light-curve shape including the very late-time HST data, and from recent
interacting binary models for SN 2011dh, we estimate that a putative surviving
companion star to the now deceased yellow supergiant could be detectable by
late 2013, especially in the ultraviolet. No obvious light echoes are
detectable yet in the SN environment.


title: Performance of Spatial Modulation using Measured Real-World Channels

abstract:
  In this paper, for the first time real-world channel measurements are used to
analyse the performance of spatial modulation (SM), where a full analysis of
the average bit error rate performance (ABER) of SM using measured urban
correlated and uncorrelated Rayleigh fading channels is provided. The channel
measurements are taken from an outdoor urban multiple input multiple output
(MIMO) measurement campaign. Moreover, ABER performance results using simulated
Rayleigh fading channels are provided and compared with a derived analytical
bound for the ABER of SM, and the ABER results for SM using the measured urban
channels. The ABER results using the measured urban channels validate the
derived analytical bound and the ABER results using the simulated channels.
  Finally, the ABER of SM is compared with the performance of spatial
multiplexing (SMX) using the measured urban channels for small and large scale
MIMO. It is shown that SM offers nearly the same or a slightly better
performance than SMX for small scale MIMO. However, SM offers large reduction
in ABER for large scale MIMO.


title: Aspects of Lagrange's Mechanics and their Legacy

abstract:
  From the "vibrating string" and "Kepler's equation" theories to relativistic
quantum fields, perturbation theory, (divergent) series resummations, KAM
theory.

categories: math-ph math.HO math.MP nlin.CD physics.hist-ph


title: Discovery of 47-s pulsations in the X-ray source 1RXS J225352.8+624354

abstract:
  We report on the discovery of pulsations at a period of ~47 s in the
persistent X-ray source 1RXS J225352.8+624354 (1RXS J2253) using five Chandra
observations performed in 2009. The signal was also detected in Swift and ROSAT
data, allowing us to infer over a 16-yr baseline an average, long-term period
increasing rate of ~17 ms per year and therefore to confirm the signal as the
spin period of an accreting, spinning-down neutron star. The pulse profile of
1RXS J2253 (~50-60% pulsed fraction) is complex and energy independent (within
the statistical uncertainties). The 1-10 keV Chandra spectra are well fit by an
absorbed power-law model with photon index ~1.4 and observed flux of (2-5)e-12
erg cm^-2 s^-1. The source was also detected by INTEGRAL in the 17-60 keV band
at a persistent flux of ~6e-12 erg cm^-2 s^-1, implying a spectral cut off
around 15 keV. We also carried out optical spectroscopic follow-up observations
of the 2MASS counterpart at the Nordic Optical Telescope. This made it possible
to first classify the companion of 1RXS J2253 as a B0-1III-Ve (most likely a
B1Ve) star at a distance of about 4-5 kpc (favouring an association with the
Perseus arm of the Galaxy). The latter finding implies an X-ray luminosity of
~3e34 erg s^-1, suggesting that 1RXS J2253 is a new member of the sub-class of
low-luminosity long-orbital-period persistent Be/X-ray pulsars in a wide and
circular orbit (such as X Persei).


title: Gauge fixing in lattice QCD with multi-GPUs

abstract:
  Here we present the cuLGT code for gauge fixing in lattice gauge field
theories with graphic processing units (GPUs). Implementations for SU(3)
Coulomb, Landau and maximally Abelian gauge fixing are available and the
overrelaxation, stochastic relaxation and simulated annealing algorithms are
supported. Performance results for single and multi-GPUs are given.


title:
The influence of convection on the atmospheric structures and observable
  properties of red giant stars

abstract:
  During the recent years significant progress has been made in the modeling of
red giant atmospheres with the aid of 3D hydrodynamical model atmosphere codes.
In this contribution we provide an overview of selected results obtained in
this context by utilizing 3D hydrodynamical CO5BOLD stellar model atmospheres.
Hydrodynamical simulations show that convective motions lead to significant
differences in the atmospheric structures of red giants with respect to those
predicted by the classical 1D model atmospheres. Results of these simulations
also show that in certain cases 1D models fail to reproduce even the average
properties of the 3D hydrodynamical models, such as P-T profiles. Large
horizontal temperature fluctuations in the 3D model atmospheres, as well as
differences between the temperature profiles of the average <3D> and 1D models,
lead to large discrepancies in the strengths of spectral lines predicted by the
3D and 1D model atmospheres. This is especially important in models at lowest
metallicities ([M/H]<-2.0) where the 3D-1D abundance differences may reach (or
even exceed) -0.6 dex for lines of neutral atoms and molecules. We also discuss
several simplifications and numerical aspects involved in the present 3D
hydrodynamical modeling of red giant atmospheres, and briefly address several
issues where urgent progress may be needed.


title: Complementary sequential measurements generate entanglement

abstract:
  We present a new paradigm for capturing the complementarity of two
observables. It is based on the entanglement created by the interaction between
the system observed and the two measurement devices used to measure the
observables sequentially. Our main result is a lower bound on this entanglement
and resembles well-known entropic uncertainty relations. Besides its
fundamental interest, this result directly bounds the effectiveness of
sequential bipartite operations---corresponding to the measurement
interactions---for entanglement generation. We further discuss the intimate
connection of our result with two primitives of information processing, namely,
decoupling and coherent teleportation.


title: Activation of entanglement in teleportation

abstract:
  We study the activation of entanglement in teleportation protocols. To this
end, we a present derivation of the average fidelity of teleportation process
with noisy classical channel for qudits. In our work we do not make any
assumptions about the entangled states shared by communicating parties. Our
result allows us to specify the minimum amount of classical information
required to beat the classical limit when the protocol is based on the Bell
measurements. We also compare average fidelity of teleportation obtained using
noisy and perfect classical channel with restricted capacity. The most
important insight into the intricacies of quantum information theory that we
gain is that though entanglement, obviously, is a necessary resource for
efficient teleportation it requires a certain threshold amount of classical
communication to be more useful than classical communication. Another
interesting finding is that the amount of classical communication required to
activate entanglement for teleportation purposes depends on the dimension d of
the system being teleported but is not monotonic reaching maximum for d = 4.


title:
Comparison of the $\mu$-invariants of an abelian variety and its dual
  abelian variety

abstract:
  In this note, we compare the dual Selmer groups of an abelian variety with
that of its dual over certain large Galois field. We give formula which relates
the generalized Iwasawa $\mu$-invariants associated with their dual Selmer
groups under the natural isogeny.


title: Ensemble Copula Coupling as a Multivariate Discrete Copula Approach

abstract:
  In probability and statistics, copulas play important roles theoretically as
well as to address a wide range of problems in various application areas. In
this paper, we introduce the concept of multivariate discrete copulas, discuss
their equivalence to stochastic arrays, and provide a multivariate discrete
version of Sklar's theorem. These results provide the theoretical frame for the
ensemble copula coupling approach proposed by Schefzik et al. (2013) for the
multivariate statistical postprocessing of weather forecasts made by ensemble
systems.


title:
Nyquist Filter Design using POCS Methods: Including Constraints in
  Design

abstract:
  The problem of constrained finite impulse response (FIR) filter design is
central to signal processing and arises in a variety of disciplines. This paper
surveys the design of such filters using Projection onto convex sets (POCS) and
discusses certain commonly encountered time and frequency domain constraints.
We study in particular the design of Nyquist filters and propose a simple
extension to the work carried out by Haddad, Stark, and Galatsanos in [1]. The
flexibility and the ease that this design method provides in terms of
accommodating constraints is one of its outstanding features.


title:
On the dependence of the existence of the positive steady states on the
  rate coefficients for deficiency-one mass action systems: single linkage
  class

abstract:
  The Deficiency-One Theorem states that there exists a unique positive steady
state in each positive stoichiometric class for weakly reversible
deficiency-one mass action systems with one linkage class (regardless of the
values of the rate coefficients). The non-emptiness of the set of positive
steady states does not remain valid if we omit the weak reversibility. A
recently published paper provided an equivalent condition to the existence of a
positive steady state for deficiency-one mass action systems that are not
weakly reversible, but still has only one linkage class. Based on that result,
we characterise in this paper those of these mass action systems for which the
non-emptiness of the set of positive steady states holds regardless of the
values of the rate coefficients. Also, we provide an equivalent condition to
the existence of rate coefficients such that the set of positive steady states
is nonempty for the resulting mass action system.


title: Entanglement entropy from surface terms in general relativity

abstract:
  Entanglement entropy in local quantum field theories is typically ultraviolet
divergent due to short distance effects in the neighbourhood of the entangling
region. In the context of gauge/gravity duality, we show that surface terms in
general relativity are able to capture this entanglement entropy. In
particular, we demonstrate that for 1+1 dimensional CFTs at finite temperature
whose gravity dual is the BTZ black hole, the Gibbons-Hawking-York term
precisely reproduces the entanglement entropy which can be computed
independently in the field theory.


title: Non-signaling boxes and quantum logics

abstract:
  We analyze the structure of the so called non-signaling theories respecting
relativistic causality but allowing correlations violating bounds imposed by
quantum mechanics such as CHSH inequality. We discuss relations among such
theories, quantum mechanics, and classical physics. In particular we
reconstruct the probability theory adequate for the simplest instance of a
non-signaling theory, the two non-signaling boxes world, and exhibit its
differences in comparison with classical and quantum probabilities. We show
that the question whether such a theory can be treated as a kind of
"generalization" of the quantum theory of the two-qubit system cannot be
answered positively. Some of its features put it closer to the quantum world,
for example measurements must be destructive, on the other hand the Heisenberg
uncertainty relations are not satisfied. Another interesting property
contrasting it from quantum mechanics is that the subset of "classically
correlated states," i.e.\ the states with only classical correlations, does not
reproduce the classical world of two two-state systems. Our results establish a
new link between quantum information theory and the well-developed theory of
quantum logics and can shed new light on the problem why quantum mechanics is
distinguished among non-signaling theories.


title: Self-healing networks: redundancy and structure

abstract:
  We introduce the concept of self-healing in the field of complex networks.
Obvious applications range from infrastructural to technological networks. By
exploiting the presence of redundant links in recovering the connectivity of
the system, we introduce self-healing capabilities through the application of
distributed communication protocols granting the "smartness" of the system. We
analyze the interplay between redundancies and smart reconfiguration protocols
in improving the resilience of networked infrastructures to multiple failures;
in particular, we measure the fraction of nodes still served for increasing
levels of network damages. We study the effects of different connectivity
patterns (planar square-grids, small-world, scale-free networks) on the healing
performances. The study of small-world topologies shows us that the
introduction of some long-range connections in the planar grids greatly
enhances the resilience to multiple failures giving results comparable to the
most resilient (but less realistic) scale-free structures.


title:
A nonlinear relativistic approach to mathematical representation of
  vacuum electromagnetism based on extended Lie derivative

abstract:
  This paper presents an alternative {\it relativistic nonlinear} approach to
the vacuum case of classical electrodynamics. Our view is based on the
understanding that the corresponding differential equations should be dynamical
in nature. So, they must represent local energy-momentum balance relations.
Formally, the new equations are in terms of appropriately extended Lie
derivative of $\mathbb{R}^2$-valued differential 2-form along a
$\mathbb{R}^2$-valued 2-vector on Minkowski space-time.


title: Singlet Fermionic Dark Matter and the Electroweak Phase Transition

abstract:
  We consider a model with a gauge singlet Dirac fermion as a cold dark matter
candidate. The dark matter particle communicates with the Standard Model via a
gauge singlet scalar mediator that couples to the Higgs. The scalar mediator
also serves to create a tree-level barrier in the scalar potential which leads
to a strongly first order electroweak phase transition as required for
Electroweak Baryogenesis. We find a large number of models that can account for
all the dark matter and provide a strong phase transition while avoiding
constraints from dark matter direct detection, electroweak precision data, and
the latest Higgs data from the LHC. The next generation of direct detection
experiments could rule out a large region of the parameter space but can be
evaded in some regions when the Higgs-singlet mixing is very small.


title:
Structural ordering driven anisotropic magnetoresistance, anomalous Hall
  resistance and its topological overtones in full-Heusler Co2MnSi thin films

abstract:
  We report the evolution of crystallographic structure, magnetic ordering and
electronic transport in thin films of full-Heusler alloy Co$_2$MnSi deposited
on (001) MgO with annealing temperatures ($T_A$). By increasing the $T_A$ from
300$^\circ$C to 600$^\circ$C, the film goes from a disordered nanocrystalline
phase to $B2$ ordered and finally to the $L2_1$ ordered alloy. The saturation
magnetic moment improves with structural ordering and approaches the
Slater-Pauling value of $\approx 5.0 \mu_B$ per formula unit for $T_A$ =
600$^\circ$C. At this stage the films are soft magnets with coercive and
saturation fields as low as $\approx$ 7 mT and 350 mT, respectively. Remarkable
effects of improved structural order are also seen in longitudinal resistivity
($\rho_{xx}$) and residual resistivity ratio. A model based upon electronic
transparency of grain boundaries illucidates the transition from a state of
negative $d\rho/dT$ to positive $d\rho/dT$ with improved structural order. The
Hall resistivity ($\rho_{xy}$) derives contribution from the normal scattering
of charge carriers in external magnetic field, the anomalous effect originating
from built-in magnetization and a small but distinct topological Hall effect in
the disordered phase. The carrier concentration ($n$) and mobility ($\mu$) have
been extracted from the high field $\rho_{xy}$ data. The highly ordered films
are characterized by $n$ and $\mu$ of 1.19$\times$ 10$^{29}$ m$^{-3}$ and 0.4
cm$^2V^{-1}s^{-1}$ at room temperature. The dependence of $\rho_{xy}$ on
$\rho_{xx}$ indicates the dominance of skew scattering in our films, which
shows a monotonic drop on raising the $T_A$. The topological Hall effect is
analyzed for the films annealed at 300$^\circ$C. ......


title:
Hartree-Fock calculations for the photoionisation of helium and
  helium-like ions in neutron star magnetic fields

abstract:
  We derive the photoionisation cross section in dipole approximation for
many-electron atoms and ions for neutron star magnetic field strengths in the
range of 10^7 to 10^9 T. Both bound and continuum states are treated in
adiabatic approximation in a self-consistent way. Bound states are calculated
by solving the Hartree-Fock-Roothaan equations using finite-element and
B-spline techniques while the continuum orbital is calculated by direct
integration of the Hartree-Fock equations in the mean-field potential of the
remaining bound orbitals. We take into account mass and photon density in the
neutron star's atmosphere, finite nuclear mass as well as thermal occupation of
the levels. The data may be of importance for the quantitative interpretation
of observed x-ray spectra that originate from the thermal emission of isolated
neutron stars. They can serve as input for modeling neutron star atmospheres as
regards chemical composition, magnetic field strength, temperature, and
redshift. Our main focus in this paper lies on helium and helium-like oxygen.
These two-electron systems are simple enough to calculate all possible
transitions when limiting the quantum numbers and should show all the basic
structures and behaviour of other two-electron systems up to iron.


title: Unknotting number and genus of 3-braid knots

abstract:
  Let $u(K)$ and $g(K)$ denote the unknotting number and the genus of a knot
$K$, respectively. For a 3-braid knot $K$, we show that $u(K)\le g(K)$ holds,
and that if $u(K)=g(K)$ then $K$ is either a 2-braid knot, a connected sum of
two 2-braid knots, the figure-eight knot, a strongly quasipositive knot or its
mirror image.


title: On differentially dissipative dynamical systems

abstract:
  Dissipativity is an essential concept of systems theory. The paper provides
an extension of dissipativity, named differential dissipativity, by lifting
storage functions and supply rates to the tangent bundle. Differential
dissipativity is connected to incremental stability in the same way as
dissipativity is connected to stability. It leads to a natural formulation of
differential passivity when restricting to quadratic supply rates. The paper
also shows that the interconnection of differentially passive systems is
differentially passive, and provides preliminary examples of differentially
passive electrical systems.


title:
Hamilton-Jacobi Theorems for Regular Controlled Hamiltonian System and
  Its Reduced Systems

abstract:
  In this paper, we give precisely the geometric constraint conditions of
canonical symplectic form and regular reduced symplectic forms for the
dynamical vector fields of a regular controlled Hamiltonian (RCH) system and
its regular reduced systems, which are called the Type I and Type II of
Hamilton-Jacobi equations. At first, we first prove two types of
Hamilton-Jacobi theorem for an RCH system on cotangent bundle of a
configuration manifold, by using the canonical symplectic form and the
dynamical vector field, which are the development of the two types of geometric
version of Hamilton-Jacobi theorem for a Hamiltonian system given in Wang
\cite{wa17}. Moreover, we also prove two types of Hamilton-Jacobi theorem for a
controlled magnetic Hamiltonian (CMH) system by using the magnetic symplectic
form and the magnetic Hamiltonian vector field. Secondly, we generalize the
above results for a regular reducible RCH system with symmetry and momentum
map, and prove two types of Hamilton-Jacobi theorems for the regular point
reduced RCH system and the regular orbit reduced RCH system. Thirdly, we prove
that the RCH-equivalence for the RCH system, and RpCH-equivalence and RoCH-
equivalence for the regular reducible RCH systems with symmetries, leave the
solutions of corresponding Hamilton-Jacobi equations invariant. Finally, as an
application of the theoretical results, we show the Type I and Type II of
Hamilton-Jacobi equations for the $R_p$-reduced controlled rigid body-rotor
system and the $R_p$-reduced controlled heavy top-rotor system on the
generalizations of rotation group SO(3) and Euclidean group SE(3),
respectively. These researches reveal the deeply internal relationships of the
geometrical structures of phase spaces, the dynamical vector fields and
controls of the RCH system.


title:
An axiomatic construction of an almost full embedding of the category of
  graphs into the category of R-objects

abstract:
  We construct embeddings G of the category of graphs into categories of
R-modules over a commutative ring R which are almost full in the sense that the
maps induced by the functoriality of G
  R[Hom_Graphs(X,Y)] --> Hom_R(GX,GY) are isomorphisms. The symbol R[S] above
denotes the free R-module with the basis S. This implies that, for any
cotorsion-free ring R, the categories of R-modules are not less complicated
than the category of graphs. A similar embedding of graphs into the category of
vector spaces with four distinguished subspaces (over any field, e.g. F_2={0,1}
is obtained).


title:
On Lipschitz semicontinuity properties of variational systems with
  application to parametric optimization

abstract:
  In this paper two properties of recognized interest in variational analysis,
known as Lipschitz lower semicontinuity and calmness, are studied with
reference to a general class of variational systems, i.e. to solution mappings
to parameterized generalized equations. In consideration of the metric nature
of such properties, some related sufficient conditions are established, which
are expressed via nondegeneracy conditions on derivative-like objects
appropriate for a metric space analysis. For certain classes of generalized
equations in Asplund spaces, it is shown how such conditions can be formulated
by using the Fr\'echet coderivative of the field and the derivative of the
base. Applications to the stability analysis of parametric constrained
optimization problems are proposed.


title: A bijection for tri-cellular maps

abstract:
  In this paper we give a bijective proof for a relation between uni- bi- and
tricellular maps of certain topological genus. While this relation can formally
be obtained using Matrix-theory as a result of the Schwinger-Dyson equation, we
here present a bijection for the corresponding coefficient equation. Our
construction is facilitated by repeated application of a certain cutting, the
contraction of edges, incident to two vertices and the deletion of certain
edges.


title: Monge-Amp\`ere operator on four dimensional almost complex manifolds

abstract:
  We define the Monge-Amp\`ere operator for continuous J-plurisubharmonic
functions on four dimensional almost complex manifolds.


title:
Malliavin regularity of solutions to mixed stochastic differential
  equations

abstract:
  For a mixed stochastic differential driven by independent fractional Brownian
motions and Wiener processes, the existence and integrability of the Malliavin
derivative of its solution are established. It is also proved that the solution
possesses exponential moments.


title:
Constraints on Lorentz Invariance Violation from Fermi-Large Area
  Telescope Observations of Gamma-Ray Bursts

abstract:
  We analyze the MeV/GeV emission from four bright Gamma-Ray Bursts (GRBs)
observed by the Fermi-Large Area Telescope to produce robust, stringent
constraints on a dependence of the speed of light in vacuo on the photon energy
(vacuum dispersion), a form of Lorentz invariance violation (LIV) allowed by
some Quantum Gravity (QG) theories. First, we use three different and
complementary techniques to constrain the total degree of dispersion observed
in the data. Additionally, using a maximally conservative set of assumptions on
possible source-intrinsic spectral-evolution effects, we constrain any vacuum
dispersion solely attributed to LIV. We then derive limits on the "QG energy
scale" (the energy scale that LIV-inducing QG effects become important, E_QG)
and the coefficients of the Standard Model Extension. For the subluminal case
(where high energy photons propagate more slowly than lower energy photons) and
without taking into account any source-intrinsic dispersion, our most stringent
limits (at 95% CL) are obtained from GRB090510 and are E_{QG,1}>7.6 times the
Planck energy (E_Pl) and E_{QG,2}>1.3 x 10^11 GeV for linear and quadratic
leading order LIV-induced vacuum dispersion, respectively. These limits improve
the latest constraints by Fermi and H.E.S.S. by a factor of ~2. Our results
disfavor any class of models requiring E_{QG,1} \lesssim E_Pl.


title: Globally Generated Vector Bundles on P^n with c_1=4

abstract:
  We classify globally generated vector bundles on the projective n-space with
first Chern class = 4. This extends previous results for first Chern class at
most 3, namely for 2 of Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009),
2141-2146] and for 3 of Anghel and Manolache [arXiv:1202.6261] and,
independently, of Sierra and Ugaglia [arXiv:1203.0185]. It turns out that the
case first Chern class = 4 is much more involved than the previous cases,
especially on the projective 3-space. Among the bundles appearing in our
classification one can find the Sasakura rank 3 vector bundle on the projective
4-space (suitably twisted). In the new version Sections 1, 2, 4. 5, 6 and 7
have been rewritten and some arguments and the presentation have been,
hopefully, improved.


title:
Error Bounds for the Numerical Integration of Functions with Limited
  Smoothness

abstract:
  Recently, Trefethen (SIAM Review 50 (2008), 67--87) and Xiang and Bornemann
(SIAM J. Numer. Anal. 50 (2012), 2581--2587) investigated error bounds for
n-point Gauss and Clenshaw-Curtis quadrature for the Legendre weight with
integrands having limited smoothness properties. Putting their results into the
context of classical quadrature theory, we find that the observed behaviour is
by no means surprising and that it can essentially be proved for a very large
class of quadrature formulas with respect to a broad set of weight functions.


title: Simple endotrivial modules for quasi-simple groups

abstract:
  We investigate simple endotrivial modules of finite quasi-simple groups and
classify them in several important cases. This is motivated by a recent result
of Robinson showing that simple endotrivial modules of most groups come from
quasi-simple groups.


title:
Anomalous and Spin Hall Effects in a Magnetic Tunnel Junction with
  Rashba Spin-Orbit Coupling

abstract:
  Anomalous and spin Hall effects are investigated theoretically for a magnetic
tunnel junction where the applied voltage produces a Rashba spin-or bit
coupling within the tunneling barrier layer. The ferromagnetic electrodes are
the source of the spin-polarized current. The tunneling electrons experience a
spin-orbit coupling inside the barrier due to the applied electrical field.
Charge and spin Hall currents are calculated as functions of the position
inside the barrier and the angle between the magnetizations of the electrodes.
We find that both charge and spin Hall currents are located inside the barrier
near the in terfaces. The dependence of the currents on magnetic configuration
of the magnetic tunnel junction makes possible the manipulation by the Hall
currents via rotation of the magnetization of the electrodes.


title: Heavy Flavor Measurements at LHC

abstract:
  The measurements in the area of heavy flavor physics, produced by Winter 2013
by the ATLAS and CMS experiments at LHC, are reviewed with focus on the most
recent results.


title: Galois Identities of the three term recurrence

abstract: We study the existence of the identity L_n^2 -5F_n^2 = 4(-1)^n.


title: Random matrix model for free Meixner laws

abstract:
  Applying the concept of matricial freeness which generalizes freeness in free
probability, we have recently studied asymptotic joint distributions of
symmetric blocks of Gaussian random matrices (Gaussian Symmetric Block
Ensemble). This approach gives a block refinement of the fundamental result of
Voiculescu on asymptotic freeness of independent Gaussian random matrices. In
this paper, we show that this framework is natural for constructing a random
matrix model for free Meixner laws. We also demonstrate that the ensemble of
independent matrices of this type is asymptotically conditionally free with
respect to the pair of partial traces.


title:
Evolution and excitation conditions of outflows in high-mass
  star-forming regions

abstract:
  Theoretical models suggest that massive stars form via disk-mediated
accretion, with bipolar outflows playing a fundamental role. A recent study
toward massive molecular outflows has revealed a decrease of the SiO line
intensity as the object evolves. The present study aims at characterizing the
variation of the molecular outflow properties with time, and at studying the
SiO excitation conditions in outflows associated with massive YSOs. We used the
IRAM30m telescope to map 14 massive star-forming regions in the SiO(2-1),
SiO(5-4) and HCO+(1-0) outflow lines, and in several dense gas and hot core
tracers. Hi-GAL data was used to improve the spectral energy distributions and
the L/M ratio, which is believed to be a good indicator of the evolutionary
stage of the YSO. We detect SiO and HCO+ outflow emission in all the sources,
and bipolar structures in six of them. The outflow parameters are similar to
those found toward other massive YSOs. We find an increase of the HCO+ outflow
energetics as the object evolve, and a decrease of the SiO abundance with time,
from 10^(-8) to 10^(-9). The SiO(5-4) to (2-1) line ratio is found to be low at
the ambient gas velocity, and increases as we move to high velocities,
indicating that the excitation conditions of the SiO change with the velocity
of the gas (with larger densities and/or temperatures for the high-velocity gas
component). The properties of the SiO and HCO+ outflow emission suggest a
scenario in which SiO is largely enhanced in the first evolutionary stages,
probably due to strong shocks produced by the protostellar jet. As the object
evolves, the power of the jet would decrease and so does the SiO abundance.
During this process, however, the material surrounding the protostar would have
been been swept up by the jet, and the outflow activity, traced by entrained
molecular material (HCO+), would increase with time.


title:
Optical analysis of spatially periodic patterns in nematic liquid
  crystals: diffraction and shadowgraphy

abstract:
  Optical methods are most convenient to analyze spatially periodic patterns
with wavevector $\bm q$ in a thin layer of a nematic liquid crystal. In the
standard experimental setup a beam of parallel light with a 'short' wavelength
$\lambda \ll 2 \pi/q$ passes the nematic layer. Recording the transmitted light
the patterns are either directly visualized by shadowgraphy or characterized
more indirectly by the diffraction fringes due to the optical grating effects
of the pattern. In this work we present a systematic short-wavelength analysis
of these methods for the commonly used planar orientation of the optical axis
of liquid crystal at the confining surfaces. Our approach covers general 3D
experimental geometries with respect to the relative orientation of $\bm q$ and
of the wavevector $\bm k$ of the incident light. In particular the importance
of phase grating effects is emphasized, which are not accessible in a pure
geometric optics approach. Finally, as a byproduct we present also an optical
analysis of convection rolls in Rayleigh-B\'enard convection, where the
refraction index of the fluid is isotropic in contrast to its uniaxial symmetry
in nematic liquid crystals. Our analysis is in excellent agreement with an
earlier physical optics approach by Trainoff and Cannell [Physics of Fluids
{\bf 14}, 1340 (2002)], which is restricted to a 2D geometry and technically
much more demanding.


title: Shadowing, expansiveness and specification for C1-conservative systems

abstract:
  We prove that a C1-generic volume-preserving dynamical system (diffeomorphism
or flow) has the shadowing property or is expansive or has the weak
specification property if and only if it is Anosov. Finally, we prove that the
C1-robustness, within the volume-preserving context, of the expansiveness
property and the weak specification property, imply that the dynamical system
(diffeomorphism or flow) is Anosov.


title: Fiber Based Multiple-Access Optical Frequency Dissemination

abstract:
  We demonstrate a fiber based multiple-access optical frequency dissemination
scheme. Without using any additional laser sources, we reproduce the stable
disseminated frequency at an arbitrary point of fiber link. Relative frequency
stability of 3E10^{-16}/s and 4E10^{-18}/10^4s is obtained. A branching fiber
network for highly-precision synchronization of optical frequency is made
possible by this method and its applications are discussed.


title: Separating expansion and collapse in general fluid models with heat flux

abstract:
  In this paper we consider spherically symmetric general fluids with heat
flux, motivated by causal thermodynamics, and give the appropriate set of
conditions that define separating shells defining the divide between expansion
and collapse. To do so we add the new requirement that heat flux and its
evolution vanish at the separating surface. We extend previous works with a
fully nonlinear analysis in the 1+3 splitting, and present gauge-invariant
results. The definition of the separating surface is inspired by the
conservation of the Misner-Sharp mass, and is obtained by generalizing the
Tolman-Oppenheimer-Volkoff equilibrium and turnaround conditions. We emphasize
the nonlocal character of these conditions as found in previous works and
discuss connections to the phenomena of spacetime cracking and thermal peeling.


title: Parton Distributions in the Higgs Boson Era

abstract:
  Parton distributions are an essential ingredient of the LHC program. PDFs are
relevant for precision Standard Model measurements, for Higgs boson
characterization as well as for New Physics searches. In this contribution I
review recent progress in the determination of the parton distributions of the
proton during the last year. Important developments include the impact of new
LHC measurements to pin down poorly known PDFs, studies of theoretical
uncertainties, higher order calculations for processes relevant for PDF
determinations, PDF benchmarking exercises with LHC data, as well as
methodological and statistical improvements in the global analysis framework. I
conclude with some speculative considerations about future directions in PDF
determinations from the theory point of view.


title: The use of the teleparallelism connection in continuum mechanics

abstract:
  The geometry of parallelizable manifolds (i.e., teleparallelism) is
summarized in the language of local frame fields. Some problems in continuum
mechanics that relate to the couple-stresses that are produced in the bending
and twisting of prismatic beams and wires are then discussed. It is then shown
that by going to a higher-dimensional analogue of the geometry that one used
for one-dimensional deformable objects, one is basically using the methods of
teleparallelism in the context of the Cosserat approach to deformable bodies.


title:
Existence and Uniqueness for Integro-Differential Equations with
  Dominating Drift Terms

abstract:
  In this paper we are interested on the well-posedness of Dirichlet problems
associated to integro-differential elliptic operators of order $\alpha < 1$ in
a bounded smooth domain $\Omega$ . The main difficulty arises because of losses
of the boundary condition for sub and supersolutions due to the lower diffusive
effect of the elliptic operator compared with the drift term. We consider the
notion of viscosity solution with generalized boundary conditions, concluding
strong comparison principles in $\bar{\Omega}$ under rather general assumptions
over the drift term. As a consequence, existence and uniqueness of solutions in
$C(\bar{\Omega})$ is obtained via Perron's method.


title:
From bricks to quasinormal modes: A new perspective on black hole
  entropy

abstract:
  Calculations of black hole entropy based on the counting of modes of a
quantum field propagating in a Schwarzschild background need to be regularized
in the vicinity of the horizon. To obtain the Bekenstein-Hawking result the
short distance cut-off needs to be fixed by hand. In this note we give an
argument for obtaining this cut-off in a natural fashion. We do this by
modelling the black hole by its set of quasinormal modes. The horizon then
becomes a extended region: the quantum ergosphere. The interaction of the
quantum ergosphere and the quantum field provides a natural regularization
mechanism. The width of the quantum ergosphere provides the right cut-off for
the entropy calculation. We arrive at a dual picture of black hole entropy. The
entropy of the black hole is given both by the entropy of the quantum field in
the bulk and the dynamical degrees of freedom on the horizon.


title: Relativistic third-order dissipative fluid dynamics from kinetic theory

abstract:
  We present the derivation of a novel third-order hydrodynamic evolution
equation for shear stress tensor from kinetic theory. Boltzmann equation with
relaxation time approximation for the collision term is solved iteratively
using Chapman-Enskog like expansion to obtain the nonequilibrium phase-space
distribution function. Subsequently, the evolution equation for shear stress
tensor is derived from its kinetic definition up-to third-order in gradients.
We quantify the significance of the new derivation within one-dimensional
scaling expansion and demonstrate that the results obtained using third-order
viscous equations derived here provides a very good approximation to the exact
solution of Boltzmann equation in relaxation time approximation. We also show
that the time evolution of pressure anisotropy obtained using our equations is
in better agreement with transport results when compared with an existing
third-order calculation based on the second-law of thermodynamics.


title:
Extremal loop weight modules and tensor products for quantum toroidal
  algebras

abstract:
  We define integrable representations of quantum toroidal algebras of type A
by tensor product, using the Drinfeld "coproduct". This allow us to recover the
vector representations recently introduced by Feigin-Jimbo-Miwa-Mukhin [6] and
constructed by the author [21] as a subfamily of extremal loop weight modules.
In addition we get new extremal loop weight modules as subquotients of tensor
powers of vector representations. As an application we obtain
finite-dimensional representations of quantum toroidal algebras by specializing
the quantum parameter at roots of unity.


title: Light tails: Gibbs conditional principle under extreme deviation

abstract:
  Let $X_{1},..,X_{n}$ denote an i.i.d. sample with light tail distribution and
$S_{1}^{n}$ denote the sum of its terms; let $a_{n}$ be a real sequence\ going
to infinity with $n.$\ In a previous paper (\cite{BoniaCao}) it is proved that
as $n\rightarrow\infty$, given $\left(S_{1}^{n}/n>a_{n}\right) $ all terms
$X_{i_{\text{}}}$ concentrate around $a_{n}$ with probability going to 1. This
paper explores the asymptotic distribution of $X_{1}$ under the conditioning
events $\left(S_{1}^{n}/n=a_{n}\right) $ and $\left(S_{1}^{n}/n\geq
a_{n}\right)$ . It is proved that under some regulatity property, the
asymptotic conditional distribution of $X_{1}$ given
$\left(S_{1}^{n}/n=a_{n}\right) $ can be approximated in variation norm by the
tilted distribution at point $a_{n}$, extending therefore the classical LDP
case developed in Diaconis and Freedman (1988) . Also under
$\left(S_{1}^{n}/n\geq a_{n}\right) $ the dominating point property holds.
  It also considers the case when the $X_{i}$'s are $\mathbb{R}^{d}-$valued,
$f$ is a real valued function defined on $\mathbb{R}^{d}$ and the conditioning
event writes $\left(U_{1}^{n}/n=a_{n}\right) $ or $\left(U_{1}^{n}/n\geq
a_{n}\right)$ with $U_{1}^{n}:=\left(f(X_{1})+..+f(X_{n})\right) /n$ and
$f(X_{1})$ has a light tail distribution$.$ As a by-product some attention is
paid to the estimation of high level sets of functions.


title:
Compressive Parameter Estimation for Sparse Translation-Invariant
  Signals Using Polar Interpolation

abstract:
  We propose new compressive parameter estimation algorithms that make use of
polar interpolation to improve the estimator precision. Our work extends
previous approaches involving polar interpolation for compressive parameter
estimation in two aspects: (i) we extend the formulation from real non-negative
amplitude parameters to arbitrary complex ones, and (ii) we allow for mismatch
between the manifold described by the parameters and its polar approximation.
To quantify the improvements afforded by the proposed extensions, we evaluate
six algorithms for estimation of parameters in sparse translation-invariant
signals, exemplified with the time delay estimation problem. The evaluation is
based on three performance metrics: estimator precision, sampling rate and
computational complexity. We use compressive sensing with all the algorithms to
lower the necessary sampling rate and show that it is still possible to attain
good estimation precision and keep the computational complexity low. Our
numerical experiments show that the proposed algorithms outperform existing
approaches that either leverage polynomial interpolation or are based on a
conversion to a frequency-estimation problem followed by a super-resolution
algorithm. The algorithms studied here provide various tradeoffs between
computational complexity, estimation precision, and necessary sampling rate.
The work shows that compressive sensing for the class of sparse
translation-invariant signals allows for a decrease in sampling rate and that
the use of polar interpolation increases the estimation precision.


title: Origin of Rigidity in Dry Granular Solids

abstract:
  Solids are distinguished from fluids by their ability to resist shear. In
traditional solids, the resistance to shear is associated with the emergence of
broken translational symmetry as exhibited by a non-uniform density pattern. In
this work, we focus on the emergence of shear-rigidity in a class of solids
where this paradigm is challenged. Dry granular materials have no energetically
or entropically preferred density modulations. We show that, in contrast to
traditional solids, the emergence of shear rigidity in these granular solids is
a collective process, which is controlled solely by boundary forces, the
constraints of force and torque balance, and the positivity of the contact
forces. We develop a theoretical framework based on these constraints, which
connects rigidity to broken translational symmetry in the space of forces, not
positions of grains. We apply our theory to experimentally generated
shear-jammed (SJ) states and show that these states are indeed characterized by
a persistent, non-uniform density modulation in force space, which emerges at
the shear-jamming transition.


title: A Comparison of Maps Application Programming Interfaces

abstract:
  The development of web applications that manipulate geo-referenced
information is often supported by Application Programming Interfaces (APIs),
al-lowing a fast development cycle for high quality applications. APIs can be
used by programmers with different expertise levels and choosing an adequate
API may have a dramatic impact on the productivity achieved by those
programmers. Our goal is to compare maps APIs with respect to their usability.
We compare three different APIs: the Google Maps JavaScript API, the ArcGIS API
for JavaScript, and the OpenLayers JavaScript Mapping Library. Our comparison
is supported by a set of software metrics and is performed in two orthogonal
ways: the comparison of three implementations of the same system prototype,
each using one of the APIs under scrutiny; the comparison of the APIs
specifications. The main results of the study are related to the size of the
APIs, with the Google API being significantly smaller than the others.


title: Noisy Subspace Clustering via Thresholding

abstract:
  We consider the problem of clustering noisy high-dimensional data points into
a union of low-dimensional subspaces and a set of outliers. The number of
subspaces, their dimensions, and their orientations are unknown. A
probabilistic performance analysis of the thresholding-based subspace
clustering (TSC) algorithm introduced recently in [1] shows that TSC succeeds
in the noisy case, even when the subspaces intersect. Our results reveal an
explicit tradeoff between the allowed noise level and the affinity of the
subspaces. We furthermore find that the simple outlier detection scheme
introduced in [1] provably succeeds in the noisy case.

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


title: Homes scaling and BCS

abstract:
  It is argued on the basis of the BCS theory that the zero-$T$ penetration
depth satisfies $ \lambda^{-2}(0)\propto\sigma T_c $ ($\sigma$ is the normal
state dc conductivity) not only in the extreme dirty limit $\xi_0/\ell \gg 1$,
but in a broad range of scattering parameters down to $\xi_0/\ell \sim 1$
($\xi_0$ is the zero-$T$ BCS coherence length and $\ell$ is the mean-free
path). Hence, the scaling $ \lambda^{-2}(0)\propto\sigma T_c $, suggested as a
new universal property of superconductors,\cite{Homes} finds a natural
explanation within the BCS theory.


title: Flavourful baryon and lepton number violation at the LHC

abstract:
  We observe that the flavour symmetries of the Standard Model gauge sector,
broken as they are in the Standard Model Yukawa Lagrangian, naturally suppress
baryon and lepton number violation at low energies and, simultaneously, make it
accessible at the LHC through resonant processes involving at least six
fermions from all three generations. We establish a model independent
classification of such transitions and identify two classes that give rise to
particularly clean LHC signatures, namely $\bar t \mu^+ e^+$ and $\bar t \bar
t$ + jets.


title:
Determination of multiwavelength anomalous diffraction coefficients at
  high x-ray intensity

abstract:
  The high-intensity version of multiwavelength anomalous diffraction (MAD) has
a potential for solving the phase problem in femtosecond crystallography with
x-ray free-electron lasers (XFELs). For MAD phasing, it is required to
calculate or measure the MAD coefficients involved in the key equation, which
depend on XFEL pulse parameters. In the present work, we revisit the
generalized Karle-Hendrickson equation to clarify the importance of
configurational fluctuations of heavy atoms induced by intense x-ray pulses,
and investigate the high-intensity cases of transmission and fluorescence
measurements of samples containing heavy atoms. Based on
transmission/fluorescence and diffraction experiments with crystalline samples
of known structures, we propose an experimental procedure to determine all MAD
coefficients at high x-ray intensity, which can be used in \emph{ab initio}
phasing for unknown structures.

categories: physics.atom-ph cond-mat.mes-hall physics.atm-clus physics.bio-ph physics.optics


title: Stationary analysis of the Shortest Queue First service policy

abstract:
  We analyze the so-called Shortest Queue First (SQF) queueing discipline
whereby a unique server addresses queues in parallel by serving at any time
that queue with the smallest workload. Considering a stationary system composed
of two parallel queues and assuming Poisson arrivals and general service time
distributions, we first establish the functional equations satisfied by the
Laplace transforms of the workloads in each queue. We further specialize these
equations to the so-called "symmetric case", with same arrival rates and
identical exponential service time distributions at each queue; we then obtain
a functional equation $$ M(z) = q(z) \cdot M \circ h(z) + L(z) $$ for unknown
function $M$, where given functions $q$, $L$ and $h$ are related to one branch
of a cubic polynomial equation. We study the analyticity domain of function $M$
and express it by a series expansion involving all iterates of function $h$.
This allows us to determine empty queue probabilities along with the tail of
the workload distribution in each queue. This tail appears to be identical to
that of the Head-of-Line preemptive priority system, which is the key feature
desired for the SQF discipline.


title: Entire bounded constant mean curvature Killing graphs

abstract:
  We show that under certain curvature conditions of the ambient space an
entire Killing graph of constant mean curvature lying inside a slab must be a
totally geodesic slice.


title:
Approximation of epidemic models by diffusion processes and their
  statistical inference

abstract:
  Multidimensional continuous-time Markov jump processes $(Z(t))$ on
$\mathbb{Z}^p$ form a usual set-up for modeling $SIR$-like epidemics. However,
when facing incomplete epidemic data, inference based on $(Z(t))$ is not easy
to be achieved. Here, we start building a new framework for the estimation of
key parameters of epidemic models based on statistics of diffusion processes
approximating $(Z(t))$. First, \previous results on the approximation of
density-dependent $SIR$-like models by diffusion processes with small diffusion
coefficient $\frac{1}{\sqrt{N}}$, where $N$ is the population size, are
generalized to non-autonomous systems. Second, our previous inference results
on discretely observed diffusion processes with small diffusion coefficient are
extended to time-dependent diffusions. Consistent and asymptotically Gaussian
estimates are obtained for a fixed number $n$ of observations, which
corresponds to the epidemic context, and for $N\rightarrow \infty$. A
correction term, which yields better estimates non asymptotically, is also
included. Finally, performances and robustness of our estimators with respect
to various parameters such as $R_0$ (the basic reproduction number), $N$, $n$
are investigated on simulations. Two models, $SIR$ and $SIRS$, corresponding to
single and recurrent outbreaks, respectively, are used to simulate data. The
findings indicate that our estimators have good asymptotic properties and
behave noticeably well for realistic numbers of observations and population
sizes. This study lays the foundations of a generic inference method currently
under extension to incompletely observed epidemic data. Indeed, contrary to the
majority of current inference techniques for partially observed processes,
which necessitates computer intensive simulations, our method being mostly an
analytical approach requires only the classical optimization steps.


title:
Reply to "Comment on 'Systematics of radial and angular-momentum Regge
  trajectories of light non-strange qqbar-states' "

abstract:
  In his Comment, D. Bugg argues against our usage of the PDG collection of
light non-strange states together with the half-width rule to analyze the
linearity of radial and angular-moment Regge trajectories in the large-N_c
limit. After taking into account his observations on our choice of data, the
radial Regge trajectories are again analyzed. We still find that our conclusion
on the lack of universality between radial- and angular-momentum Regge
trajectories is valid.


title:
Roton Instabilities and Wigner Crystallization of Rotating Dipolar
  Fermions in the Fractional Quantum Hall Regime

abstract:
  We point out the possibility of occurring instabilities in Laughlin liquids
of rotating dipolar fermions with zero thickness. Previously such a system was
predicted to be the Laughlin liquid for filling factors being greater and equal
to 1/7. However, from intra-Landau-level excitations of the liquid in the
single-mode approximation, the roton minima become negative and Laughlin
liquids are unstable for filling factors being less and equal to 1/7. We then
conclude that there are correlated Wigner crystals for filling factors being
less and equal to 1/7.


title:
The overlap of neural selectivity between faces and words: evidences
  from the N170 adaptation effect

abstract:
  Faces and words both evoke an N170, a strong electrophysiological response
that is often used as a marker for the early stages of expert pattern
perception. We examine the relationship of neural selectivity between faces and
words by using a novel application of cross-category adaptation to the N170. We
report a strong asymmetry between N170 adaptation induced by faces and by
words. This is the first electrophysiological result showing that neural
selectivity to faces encompasses neural selectivity to words, and suggests that
the N170 response to faces constitutes a neural marker for versatile
representations of familiar visual patterns.


title:
Stationary analysis of the "Shortest Queue First" service policy: the
  asymmetric case

abstract:
  As a follow-up to a recent paper considering two symmetric queues, the
\textit{Shortest Queue First} service discipline is presently analysed for two
general asymmetric queues. Using the results previously established and
assuming exponentially distributed service times, the bivariate Laplace
transform of workloads in each queue is shown to depend on the solution
$\mathbf{M}$ to a two-dimensional functional equation $$ \mathbf{M} = Q_1 \cdot
\mathbf{M}\circ h_1 + Q_2 \cdot \mathbf{M}\circ h_2 + \mathbf{L} $$ with given
matrices $Q_1$, $Q_2$ and vector $\mathbf{L}$ and where functions $h_1$ and
$h_2$ are defined each on some rational curve; solution $\mathbf{M}$ can then
represented by a series expansion involving the semi-group $< h_1, h_2 >$
generated by these two functions. The empty queue probabilities along with the
tail behaviour of the workload distribution at each queue are characterised.


title: Varying electric charge in multiscale spacetimes

abstract:
  We derive the covariant equations of motion for Maxwell field theory and
electrodynamics in multiscale spacetimes with weighted Laplacian. An effective
spacetime-dependent electric charge of geometric origin naturally emerges from
the theory, thus giving rise to a varying fine-structure constant. The theory
is compared with other varying-coupling models, such as those with a varying
electric charge or varying speed of light. The theory is also confronted with
cosmological observations, which can place constraints on the characteristic
scales in the multifractional measure. We note that the model considered here
is fundamentally different from those previously proposed in the literature,
either of the varying-e or varying-c persuasion.


title:
An Improved Sub-Packetization Bound for Minimum Storage Regenerating
  Codes

abstract:
  Distributed storage systems employ codes to provide resilience to failure of
multiple storage disks. Specifically, an $(n, k)$ MDS code stores $k$ symbols
in $n$ disks such that the overall system is tolerant to a failure of up to
$n-k$ disks. However, access to at least $k$ disks is still required to repair
a single erasure. To reduce repair bandwidth, array codes are used where the
stored symbols or packets are vectors of length $\ell$. MDS array codes have
the potential to repair a single erasure using a fraction $1/(n-k)$ of data
stored in the remaining disks. We introduce new methods of analysis which
capitalize on the translation of the storage system problem into a geometric
problem on a set of operators and subspaces. In particular, we ask the
following question: for a given $(n, k)$, what is the minimum vector-length or
sub-packetization factor $\ell$ required to achieve this optimal fraction? For
\emph{exact recovery} of systematic disks in an MDS code of low redundancy,
i.e. $k/n > 1/2$, the best known explicit codes \cite{WTB12} have a
sub-packetization factor $\ell$ which is exponential in $k$. It has been
conjectured \cite{TWB12} that for a fixed number of parity nodes, it is in fact
necessary for $\ell$ to be exponential in $k$. In this paper, we provide a new
log-squared converse bound on $k$ for a given $\ell$, and prove that $k \le
2\log_2\ell\left(\log_{\delta}\ell+1\right)$, for an arbitrary number of parity
nodes $r = n-k$, where $\delta = r/(r-1)$.


title:
Maximally degenerate Weyl tensors in Riemannian and Lorentzian
  signatures

abstract:
  We establish the submaximal symmetry dimension for Riemannian and Lorentzian
conformal structures. The proof is based on enumerating all subalgebras of
orthogonal Lie algebras of sufficiently large dimension and verifying if they
stabilize a non-zero Weyl tensor up to scale. Our main technical tools include
Dynkin's classification of maximal subalgebras in complex simple Lie algebras,
a theorem of Mostow, and Kostant's Bott-Borel-Weil theorem.


title:
Dispersion relation, propagation length and mode conversion of surface
  plasmon polaritons in silver double-nanowire systems

abstract:
  We study the surface plasmon modes in a silver double-nanowire system by
employing the eigenmode analysis approach based on the finite element method.
Calculated dispersion relations, surface charge distributions, field patterns
and propagation lengths of ten lowest energy plasmon modes in the system are
presented. These ten modes are categorized into three groups because they are
found to originate from the monopole-monopole, dipole-dipole and
quadrupole-quadrupole hybridizations between the two wires, respectively.
Interestingly, in addition to the well studied gap mode (mode 1), the other
mode from group 1 which is a symmetrically coupled charge mode (mode 2) is
found to have a larger group velocity and a longer propagation length than mode
1, suggesting mode 2 to be another potential signal transporter for plasmonic
circuits. Scenarios to efficiently excite (inject) group 1 modes in the
two-wire system and also to convert mode 2 (mode 1) to mode 1 (mode 2) are
demonstrated by numerical simulations.


title: The Dynamics of an Electric Dipole Moment in a Stochastic Electric Field

abstract:
  The mean-field dynamics of an electric dipole moment in a deterministic and a
fluctuating electric field is solved to obtain the average over fluctuations of
the dipole moment and the angular mo- mentum as a function of time for a
Gaussian white noise stochastic electric field. The components of the average
electric dipole moment and the average angular momentum along the deterministic
electric field direction do not decay to zero, despite fluctuations in all
three components of the elec- tric field. This is in contrast to the decay of
the average over fluctuations of a magnetic moment in a stochastic magnetic
field with Gaussian white noise in all three components. The components of the
average electric dipole moment and the average angular momentum perpendicular
to the deterministic electric field direction oscillate with time but decay to
zero, and their variance grows with time.


title: On base point freeness in positive characteristic

abstract:
  We prove that if $(X,A+B)$ is a pair defined over an algebraically closed
field of positive characteristic such that $(X,B)$ is strongly $F$-regular, $A$
is ample and $K_X+A+B$ is strictly nef, then $K_X+A+B$ is ample. Similarly, we
prove that for a log pair $(X,A+B)$ with $A$ being ample and $B$ effective,
$K_X+A+B$ is big if it is nef and of maximal nef dimension. As an application,
we establish a rationality theorem for the nef threshold and various results
towards the minimal model program in dimension three in positive
characteristic.


title:
Applying electric field to charged and polar particles between metallic
  plates: Extension of the Ewald method

abstract:
  We develop an efficient Ewald method of molecular dynamics simulation for
calculating the electrostatic interactions among charged and polar particles
between parallel metallic plates, where we may apply an electric field with an
arbitrary size. We use the fact that the potential from the surface charges is
equivalent to the sum of those from image charges and dipoles located outside
the cell. We present simulation results on boundary effects of charged and
polar fluids, formation of ionic crystals, and formation of dipole chains,
where the applied field and the image interaction are crucial. For polar
fluids, we find a large deviation of the classical Lorentz-field relation
between the local field and the applied field due to pair correlations along
the applied field. As general aspects, we clarify the difference between the
potential-fixed and the charge-fixed boundary conditions and examine the
relationship between the discrete particle description and the continuum
electrostatics.


title:
Traveling Solitary Waves in the Periodic Nonlinear Schr\"odinger
  Equation with Finite Band Potentials

abstract:
  The paper studies asymptotics of moving gap solitons in nonlinear periodic
structures of finite contrast ("deep grating") within the one dimensional
periodic nonlinear Schr\"odinger equation (PNLS). Periodic structures described
by a finite band potential feature transversal crossings of band functions in
the linear band structure and a periodic perturbation of the potential yields
new small gaps. Novel gap solitons with O(1) velocity despite the deep grating
are presented in these gaps. An approximation of gap solitons is given by
slowly varying envelopes which satisfy a system of generalized Coupled Mode
Equations (gCME) and by Bloch waves at the crossing point. The eigenspace at
the crossing point is two dimensional and it is necessary to select Bloch waves
belonging to the two band functions. This is achieved by an optimization
algorithm. Traveling solitary wave solutions of the gCME then result in nearly
solitary wave solutions of PNLS moving at an O(1) velocity across the periodic
structure. A number of numerical tests are performed to confirm the
asymptotics.


title:
Models of {\bf Z}-Orbits of Unitary in Indefinite Inner Product Spaces
  Operators

abstract:
  Given a lineal H_0 and x_0\in H_0 and a linear injective operator U_0: H_0
\to H_0 such that all U_0^N, N \in {\bf Z} exist and all U_0^N x_0, N \in {\bf
Z} are linearly independent, anyone can define on span{{U_0}^N x_0 | N \in {\bf
Z}} a (pre)hilbert scalar product such that U_0 becomes a unitary operator.
  The problem under consideration is: Suppose there is specified an indefinite
inner product {,}_0 on H_0 and U_0 is a {,}_0-unitary operator.
  Can one introduce a (pre)hilbert topology on L_{x_0} so that after completion
and possible extension the resulting {,}_ext is continuous, the resulting U_ext
is {,}_ext-unitary and there exists a pair L_{+}, L_{-} mutually
{,}_ext-orthogonal, maximal strictly positive and respectively negative
subspaces, so that they are U_ext-invariant? More generally, can one construct
a sequence (chain) of transformations of the type "restrict, change topology,
make completion, extend, restrict,..." with the same result? (And, as a result,
after some transformations, which are natural in the field of indefinite inner
product spaces, U_ext will become usual Hilbert space unitary operator).
  For a relatively wide class of pairs "operator, inner product" positive
solutions proposed.


title:
Micropublications: a Semantic Model for Claims, Evidence, Arguments and
  Annotations in Biomedical Communications

abstract:
  The Micropublications semantic model for scientific claims, evidence,
argumentation and annotation in biomedical publications, is a metadata model of
scientific argumentation, designed to support several key requirements for
exchange and value-addition of semantic metadata across the biomedical
publications ecosystem.
  Micropublications allow formalizing the argument structure of scientific
publications so that (a) their internal structure is semantically clear and
computable; (b) citation networks can be easily constructed across large
corpora; (c) statements can be formalized in multiple useful abstraction
models; (d) statements in one work may cite statements in another,
individually; (e) support, similarity and challenge of assertions can be
modelled across corpora; (f) scientific assertions, particularly in review
articles, may be transitively closed to supporting evidence and methods.
  The model supports natural language statements; data; methods and materials
specifications; discussion and commentary; as well as challenge and
disagreement. A detailed analysis of nine use cases is provided, along with an
implementation in OWL 2 and SWRL, with several example instantiations in RDF.


title:
HiTRACE-Web: an online tool for robust analysis of high-throughput
  capillary electrophoresis

abstract:
  To facilitate the analysis of large-scale high-throughput capillary
electrophoresis data, we previously proposed a suite of efficient analysis
software named HiTRACE (High Throughput Robust Analysis of Capillary
Electrophoresis). HiTRACE has been used extensively for quantitating data from
RNA and DNA structure mapping experiments, including mutate-and-map contact
inference, chromatin footprinting, the EteRNA RNA design project and other
high-throughput applications. However, HiTRACE is based on a suite of
command-line MATLAB scripts that requires nontrivial efforts to learn, use, and
extend. Here we present HiTRACE-Web, an online version of HiTRACE that includes
standard features previously available in the command-line version as well as
additional features such as automated band annotation and flexible adjustment
of annotations, all via a user-friendly environment. By making use of
parallelization, the on-line workflow is also faster than software
implementations available to most users on their local computers. Free access:
http://hitrace.org


title:
Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton
  Radius

abstract:
  We study the corrections induced by the theory of non-commutativity, in both
space-space and space-time versions, on the spectrum of hydrogen-like atoms.
For this, we use the relativistic theory of two-particle systems to take into
account the effects of the reduced mass, and we use perturbation methods to
study the effects of non-commutativity.We apply our study to the muon hydrogen
with the aim to solve the puzzle of proton radius [R. Pohl et al., Nature 466,
213 (2010) and A. Antognini et al., Science 339, 417 (2013)]. The shifts in the
spectrum are found more noticeable in muon H (muH) than in electron H (eH)
because the corrections depend on the mass to the third power; This explains
the discrepancy between muH and eH results. In space-space non-commutativity,
the parameter required to resolve the puzzle Theta(ss) (0.35GeV)-2, exceeds the
limit obtained for this parameter from various studies on eH Lamb shift. For
space-time non-commutativity, the value Theta(st) (14.3GeV)-2 has been obtained
and it is in agreement with the limit determined by Lamb shift spectroscopy in
eH. We have also found that this value fills the gap between theory and
experiment in the case of muD and improves the agreement between theoretical
and experimental values in the case of hydrogen-deuterium isotope shift.


title: Interpretation of quantal manifolds

abstract:
  In quantum gravity, one looks for alternative structures to spacetime physics
than ordinary real manifolds. Here, we propose an alternative universal
construction containing the latter as an equilibrium state under the action of
the universal diffeomorphism group. Our theory contains many other previous
proposals in the literature as special cases. However, the crucial point we
make is that those have to be appreciated in the universal context developed
here.


title: The Nuclear Equation of State and Neutron Star Masses

abstract:
  Neutron stars are valuable laboratories for the study of dense matter. Recent
observations have uncovered both massive and low-mass neutron stars and have
also set constraints on neutron star radii. The largest mass measurements are
powerfully influencing the high-density equation of state because of the
existence of the neutron star maximum mass. The smallest mass measurements, and
the distributions of masses, have implications for the progenitors and
formation mechanisms of neutron stars. The ensemble of mass and radius
observations can realistically restrict the properties of dense matter, and, in
particular, the behavior of the nuclear symmetry energy near the nuclear
saturation density. Simultaneously, various nuclear experiments are
progressively restricting the ranges of parameters describing the symmetry
properties of the nuclear equation of state. In addition, new theoretical
studies of pure neutron matter are providing insights. These observational,
experimental and theoretical constraints of dense matter, when combined, are
now revealing a remarkable convergence.


title:
Ab initio theory of electron-phonon mediated ultrafast spin relaxation
  of laser-excited hot electrons in transition-metal ferromagnets

abstract:
  We report a computational theoretical investigation of electron spin-flip
scattering induced by the electron-phonon interaction in the transition-metal
ferromagnets bcc Fe, fcc Co and fcc Ni. The Elliott-Yafet electron-phonon
spin-flip scattering is computed from first-principles, employing a generalized
spin-flip Eliashberg function as well as ab initio computed phonon dispersions.
Aiming at investigating the amount of electron-phonon mediated demagnetization
in femtosecond laser-excited ferromagnets, the formalism is extended to treat
laser-created thermalized as well as nonequilibrium, nonthermal hot electron
distributions. Using the developed formalism we compute the phonon-induced spin
lifetimes of hot electrons in Fe, Co, and Ni. The electron-phonon mediated
demagnetization rate is evaluated for laser-created thermalized and
nonequilibrium electron distributions. Nonthermal distributions are found to
lead to a stronger demagnetization rate than hot, thermalized distributions,
yet their demagnetizing effect is not enough to explain the experimentally
observed demagnetization occurring in the subpicosecond regime.


title: Euler-Frobenius numbers and rounding

abstract:
  We study the Euler-Frobenius numbers, a generalization of the Eulerian
numbers, and the probability distribution obtained by normalizing them. This
distribution can be obtained by rounding a sum of independent uniform random
variables; this is more or less implicit in various results and we try to
explain this and various connections to other areas of mathematics, such as
spline theory.
  The mean, variance and (some) higher cumulants of the distribution are
calculated. Asymptotic results are given. We include a couple of applications
to rounding errors and election methods.


title: Outer median triangles

abstract:
  We define the notions of outer medians and outer median triangles. We show
that outer median triangles enjoy similar properties to that of the median
triangle.


title: Kummer surfaces and K3 surfaces with (Z/2Z)^4 symplectic action

abstract:
  In the first part of this paper we give a survey of classical results on
Kummer surfaces with Picard number 17 from the point of view of lattice theory.
We prove ampleness properties for certain divisors on Kummer surfaces and we
use them to describe projective models of Kummer surfaces of (1,d)-polarized
Abelian surfaces for d=1,2,3. As a consequence we prove that in these cases the
N\'eron--Severi group can be generated by lines. In the second part of the
paper we use Kummer surfaces to obtain results on K3 surfaces with a symplectic
action of the group (\Z/2\Z)^4. In particular we describe the possible
N\'eron--Severi groups of the latter in the case that the Picard number is 16,
which is the minimal possible. We describe also the N\'eron--Severi groups of
the minimal resolution of the quotient surfaces which have 15 nodes. We extend
certain classical results on Kummer surfaces to these families.


title:
Nematic susceptibility of hole- and electron-doped BaFe2As2 iron-based
  superconductors from shear modulus measurements

abstract:
  The nematic susceptibility of hole-doped Ba1-xKxFe2As2 and electron-doped
Ba(Fe1-xCox)2As2 iron-based superconductors is obtained from measurements of
the elastic shear modulus using a three-point bending setup in a capacitance
dilatometer. Nematic fluctuations, although weakened by doping, extend over the
whole superconducting dome in both systems, suggesting their close tie to
superconductivity. Evidence for quantum critical behavior of the nematic
susceptibility is, surprisingly, only found for Ba(Fe1-xCox)2As2, the system
with the lower maximal Tc value.


title:
Testing the MOND Paradigm of Modified Dynamics with Galaxy-Galaxy
  Gravitational Lensing

abstract:
  MOND predicts that the asymptotic gravitational potential of an isolated,
bounded (baryonic) mass, M, is phi(r)=(MGa0)^{1/2}ln(r); a0 is the MOND
constant. Relativistic MOND theories predict that the lensing effects of M are
dictated by phi(r) as general-relativity lensing is dictated by the Newtonian
potential. Thus, MOND predicts that the asymptotic Newtonian potential deduced
from galaxy-galaxy gravitational lensing will have: (1) a logarithmic r
dependence, and (2) a normalization (parametrized standardly as 2s^2) that
depends only on M: s=(MGa0/4)^{1/4}. I compare these predictions with recent
results of galaxy-galaxy lensing, and find agreement on all counts. For the
"blue"-lenses subsample ("spiral" galaxies) MOND reproduces the observations
well with an r'-band M/L of 1-3 solar units, and for "red" lenses ("elliptical"
galaxies) with M/L of 3-6 solar units, both consistent with baryons only. In
contradistinction, Newtonian analysis requires, typically, M/L values of about
130 solar units, bespeaking a mass discrepancy of a factor of about 40.
Compared with the staple, rotation-curve tests, MOND is here tested in a wider
population of galaxies, through a different phenomenon, using relativistic test
objects, and is probed to several-times-lower accelerations--as low as a few
percent of a0.


title:
Anisotropic Magnetoresistance Effect: General Expression of AMR Ratio
  and Intuitive Explanation for Sign of AMR Ratio

abstract:
  We derive the general expression of the anisotropic magnetoresistance (AMR)
ratio of ferromagnets for a relative angle between the magnetization direction
and the current direction. We here use the two-current model for a system
consisting of a spin-polarized conduction state (s) and localized d states (d)
with spin-orbit interaction. Using the expression, we analyze the AMR ratios of
Ni and a half-metallic ferromagnet. These results correspond well to the
respective experimental results. In addition, we give an intuitive explanation
about a relation between the sign of the AMR ratio and the s-d scattering
process.


title:
Numerical calculation of the runaway electron distribution function and
  associated synchrotron emission

abstract:
  Synchrotron emission from runaway electrons may be used to diagnose plasma
conditions during a tokamak disruption, but solving this inverse problem
requires rapid simulation of the electron distribution function and associated
synchrotron emission as a function of plasma parameters. Here we detail a
framework for this forward calculation, beginning with an efficient numerical
method for solving the Fokker-Planck equation in the presence of an electric
field of arbitrary strength. The approach is continuum (Eulerian), and we
employ a relativistic collision operator, valid for arbitrary energies. Both
primary and secondary runaway electron generation are included. For cases in
which primary generation dominates, a time-independent formulation of the
problem is described, requiring only the solution of a single sparse linear
system. In the limit of dominant secondary generation, we present the first
numerical verification of an analytic model for the distribution function. The
numerical electron distribution function in the presence of both primary and
secondary generation is then used for calculating the synchrotron emission
spectrum of the runaways. It is found that the average synchrotron spectra
emitted from realistic distribution functions are not well approximated by the
emission of a single electron at the maximum energy.


title:
A goal-oriented reduced basis method for the wave equation in inverse
  analysis

abstract:
  In this paper, we extend the reduced-basis methods developed earlier for wave
equations to goal-oriented wave equations with affine parameter dependence. The
essential new ingredient is the dual (or adjoint) problem and the use of its
solution in a sampling procedure to pick up "goal-orientedly" parameter
samples. First, we introduce the reduced-basis recipe --- Galerkin projection
onto a space $Y_N$ spanned by the reduced basis functions which are constructed
from the solutions of the governing partial differential equation at several
selected points in parameter space. Second, we propose a new "goal-oriented"
Proper Orthogonal Decomposition (POD)--Greedy sampling procedure to construct
these associated basis functions. Third, based on the assumption of affine
parameter dependence, we use the offline-online computational procedures
developed earlier to split the computational procedure into offline and online
stages. We verify the proposed computational procedure by applying it to a
three-dimensional simulation dental implant problem. The good numerical results
show that our proposed procedure performs better than the standard POD--Greedy
procedure in terms of the accuracy of output functionals.


title: Elasticity of compressed microgel suspensions

abstract:
  We describe the elasticity of compressed microgel suspensions starting from a
core--shell model for the single particle. The mechanical properties of the
inner core and of the outer corona are described via the mean field Flory
theory, and via the Alexander--de Gennes model for polymer brushes,
respectively. The model successfully reproduces experimental measures of the
elastic shear modulus up to a constant factor that we rationalize in the
jamming perspective.


title: Dust input from AGB stars in the Large Magellanic Cloud

abstract:
  The dust-forming population of AGB stars and their input to the interstellar
dust budget of the Large Magellanic Cloud (LMC) are studied with evolutionary
dust models with the main goals (1) to investigate how the amount and
composition of dust from AGB stars vary over galactic history; (2) to
characterise the mass and metallicity distribution of the present population of
AGB stars; (3) to quantify the contribution of AGB stars of different mass and
metallicity to the present stardust population in the interstellar medium
(ISM). We use models of the stardust lifecycle in the ISM developed and tested
for the Solar neighbourhood. The first global spatially resolved reconstruction
of the star formation history of the LMC from the Magellanic Clouds Photometric
Survey is employed to calculate the stellar populations in the LMC. The dust
input from AGB stars is dominated by carbon grains from stars with masses < 4
Msun almost over the entire history of the LMC. The production of silicate,
silicon carbide and iron dust is delayed until the ISM is enriched to about
half the present metallicity in the LMC. For the first time, theoretically
calculated dust production rates of AGB stars are compared to those derived
from IR observations of AGB stars for the entire galaxy. We find good agreement
within scatter of various observational estimates. We show that the majority of
silicate and iron grains in the present stardust population originate from a
small population of intermediate-mass stars consisting of only about 4% of the
total number of stars, whereas in the Solar neighbourhood they originate from
low-mass stars. With models of the lifecycle of stardust grains in the ISM we
confirm a large discrepancy between dust input from stars and the existing
interstellar dust mass in the LMC reported in Matsuura et al. 2009.