title: Low magnetic field induced capacitance changes in ferronematics

abstract:
  The response in capacitance to low external magnetic fields (up to 0.1 T) of
suspensions of spherical magnetic nanoparticles, single-wall carbon nanotubes
(SWCNT), SWCNT functionalized with carboxyl group (SWCNT-COOH) and SWCNT
functionalized with Fe$_3$O$_4$ nanoparticles in a nematic liquid crystal has
been studied experimentally. The volume concentration of nanoparticles was
$\phi_1$ = 10$^{-4}$ and $\phi_2$ = 10$^{-3}$. Independent of the type and the
volume concentration of the nanoparticles, a linear response to low magnetic
fields (far below the magnetic Fr\'eederiksz transition threshold) has been
observed, which is not present in the undoped nematic.


title: Sur une caract\'erisation des D-modules holonomes r\'eguliers

abstract:
  Let X be a smooth complex manifold. Let Sol denote the solution functor for
D-modules on X. Traditionally, the fully-faithfulness of Riemann-Hilbert
correspondance is proved by showing that if M_1 and M_2 are regular holonomic
D_X modules, then the canonical morphism of complexes of sheaves RH_{M_1,M_2} :
RHom(M_1,M_2) ---> RHom(Sol(M_2),Sol(M_1)) is an isomorphism, in a derived
sense. This paper has to do with the converse statement. We prove that if M is
an holonomic D_X module for which RH_{M,M} is an isomorphism, then M is
regular.


title:
Tunneling of Obliquely-Incident Waves through PT-Symmetric
  Epsilon-Near-Zero Bi-Layers

abstract:
  We show that obliquely-incident, transversely-magnetic-polarized plane waves
can be totally transmitted (with zero reflection) through epsilon-near-zero
(ENZ) bi-layers characterized by balanced loss and gain with parity-time (PT)
symmetry. This tunneling phenomenon is mediated by the excitation of a
surface-wave localized at the interface separating the loss and gain regions.
We determine the parameter configurations for which the phenomenon may occur
and, in particular, the relationship between the incidence direction and the
electrical thickness. We show that, below a critical threshold of gain and
loss, there always exists a tunneling angle which, for moderately thick
(wavelength-sized) structures, approaches a critical value dictated by the
surface-wave phase-matching condition. We also investigate the unidirectional
character of the tunneling phenomenon, as well as the possible onset of
spontaneous symmetry breaking, typical of PT-symmetric systems. Our results
constitute an interesting example of a PT-symmetry-induced tunneling
phenomenon, and may open up intriguing venues in the applications of ENZ
materials featuring loss and gain.


title:
Note on the counterexamples for the integral Tate conjecture over finite
  fields

abstract:
  In this note we discuss some examples of non torsion and non algebraic
cohomology classes for varieties over finite fields. The approach follows the
construction of Atiyah-Hirzebruch and Totaro.


title:
Fractographic aspects of crack branching instability using a phase field
  model

abstract:
  A phase field model of a crack front propagating in a three dimensional
brittle material is used to study the fractographic patterns induced by the
branching instability. The numerical results of this model give rise to crack
surfaces that are similar to those obtained in various experimental situations.
Depending on applied loading configurations and initial conditions, we show
that the branching instability is either restricted to a portion of the crack
front or revealed through quasi two dimensional branches. For the former, the
crack front leaves on the main broken surface either aligned or disordered
parabolic marks. For the latter, fractography reveals the so called {\em
\'echelons} cracks showing that branching instability can also induce crack
front fragmentation.


title: Induced Superconductivity in Graphene Grown on Rhenium

abstract:
  We report a new way to strongly couple graphene to a superconductor. The
graphene monolayer has been grown directly on top of a superconducting Re(0001)
thin film and characterized by scanning tunneling microscopy and spectroscopy.
We observed a moir\'e pattern due to the mismatch between Re and graphene
lattice parameters that we have simulated with ab initio calculations. The
density of states around the Fermi energy appears to be position dependent on
this moir\'e pattern. Tunneling spectroscopy performed at 50 mK shows that the
superconducting behavior of graphene on Re is well described by the
Bardeen-Cooper-Schrieffer theory and stands for a very good interface between
the graphene and its metallic substrate.


title: Efficient Frequency Doubling at 399 nm

abstract:
  This article describes a high-power and narrow-linewidth laser source at 399
nm useful for cooling and trapping of ytterbium atoms. A continuous-wave
titanium-sapphire laser at 798 nm is frequency doubled using a lithium
triborate crystal in an enhancement cavity. Up to 1.0 W of light at 399 nm has
been obtained from 1.3 W of infrared light, with an efficiency of 80 %
  This paper was published in Applied Optics and is made available as an
electronic reprint with the permission of OSA. The paper can be found at the
following URL on the OSA website:
http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-53-16-3388. Systematic or
multiple reproduction or distribution to multiple locations via electronic or
other means is prohibited and is subject to penalties under law.


title: Lower Bound of Concurrence Based on Generalized Positive Maps

abstract:
  We study the concurrence of arbitrary dimensional bipartite quantum systems.
By using a positive but not completely positive map, we present an analytical
lower bound of concurrence. Detailed examples are used to show that our bound
can detect entanglement better and can improve the well known existing lower
bounds.


title:
An explicit formula for computing Bell numbers in terms of Lah and
  Stirling numbers

abstract:
  In the paper, the author finds an explicit formula for computing Bell numbers
in terms of Lah numbers and Stirling numbers of the second kind.


title:
Coded Slotted ALOHA: A Graph-Based Method for Uncoordinated Multiple
  Access

abstract:
  In this paper, a random access scheme is introduced which relies on the
combination of packet erasure correcting codes and successive interference
cancellation (SIC). The scheme is named coded slotted ALOHA. A bipartite graph
representation of the SIC process, resembling iterative decoding of generalized
low-density parity-check codes over the erasure channel, is exploited to
optimize the selection probabilities of the component erasure correcting codes
via density evolution analysis. The capacity (in packets per slot) of the
scheme is then analyzed in the context of the collision channel without
feedback. Moreover, a capacity bound is developed and component code
distributions tightly approaching the bound are derived.


title: Transmission eigenvalue-free regions

abstract:
  We obtain large regions free of eigenvalues of the interior transmission
problem.


title: Arithmetic Quotients of the Complex Ball and a Conjecture of Lang

abstract:
  We prove that various arithmetic quotients of the unit ball in $\mathbb{C}^n$
are Mordellic, in the sense that they have only finitely many rational points
over any finitely generated field extension of $\mathbb{Q}$. In the previously
known case of compact hyperbolic complex surfaces, we give a new proof using
their Albanese in conjunction with some key results of Faltings, but without
appealing to the Shafarevich conjecture. In higher dimension, our methods allow
us to solve an alternative of Ullmo and Yafaev. Our strongest result uses in
addition Rogawski's theory and establishes the Mordellicity of the Baily-Borel
compactifications of Picard modular surfaces of some precise levels related to
the discriminant of the imaginary quadratic fields.


title:
Positron Annihilation Study of Biopolymer Inulin for Understanding its
  Structural Organization

abstract:
  Inulins are nano-meter size semi-crystalline particles, composed of
oligomeric fructose units. It has been subjected to fine micro-structural
analysis under temperature variations using mainly positron annihilation
spectroscopy. The results show a non-monotonous temperature sensitive behaviour
of the positron parameters, with considerable variation of its free volume
size. The ortho-positronium pick-off component shows a major thermotropic
transition at ~320K and a structure loss due to glass transition. Differential
scanning calorimetry confirms the onset of the major molecular transition
around the same temperature with an enthalpy change of {\Delta}H ~379J /gm and
thermo-gravimetric analysis shows mass loss in the said transition. Keywords:
Inulin, fructose units, positron annihilation spectroscopy, microstructure,
free volume analysis. thermotropic transition, thermal analysis.


title:
Isotope selective photodissociation of N2 by the interstellar radiation
  field and cosmic rays

abstract:
  Photodissociation of 14N2 and 14N15N occurs in interstellar clouds,
circumstellar envelopes, protoplanetary discs, and other environments due to UV
radiation from stellar sources and the presence of cosmic rays. This source of
N atoms initiates the formation of complex N-bearing species and influences
their isotopic composition. To study the photodissociation rates of 14N15N by
UV continuum radiation and both isotopologues in a field of cosmic ray induced
photons. To determine the effect of these on the isotopic composition of more
complex molecules. High-resolution photodissociation cross sections of N2 are
used from an accurate and comprehensive quantum- mechanical model of the
molecule based on laboratory experiments. A similarly high-resolution spectrum
of H2 emission following interactions with cosmic rays has been constructed.
The spectroscopic data are used to calculate dissociation rates which are input
into isotopically differentiated chemical models, describing an interstellar
cloud and a protoplanetary disc. The dissociation rate of 14N15N in a Draine
field assuming 30K excitation is 1.73x10-10s-1 and the rate due to cosmic rays
assuming an H2 ionisation rate of 10-16s-1 is about 10-15s-1, with up to a
factor of 10 difference between isotopologues. Shielding functions for 14N15N
by 14N2, H2, and H are presented. Incorporating these into an interstellar
cloud model, an enhancement of the atomic 15N/14N ratio is obtained due to the
self-shielding of external radiation at an extinction of about 1.5 mag. This
effect is larger where grain growth has reduced the opacity of dust to
ultraviolet radiation. The transfer of photolytic isotopic fractionation N2 to
other molecules is significant in a disc model, and is species dependent with
15N enhancement approaching a factor of 10 for HCN.


title:
Maximin and maximin-efficient event-related fMRI designs under a
  nonlinear model

abstract:
  Previous studies on event-related functional magnetic resonance imaging
experimental designs are primarily based on linear models, in which a known
shape of the hemodynamic response function (HRF) is assumed. However, the HRF
shape is usually uncertain at the design stage. To address this issue, we
consider a nonlinear model to accommodate a wide spectrum of feasible HRF
shapes, and propose efficient approaches for obtaining maximin and
maximin-efficient designs. Our approaches involve a reduction in the parameter
space and a search algorithm that helps to efficiently search over a restricted
class of designs for good designs. The obtained designs are compared with
traditional designs widely used in practice. We also demonstrate the usefulness
of our approaches via a motivating example.


title:
Fuzzy Inference System for VOLT/VAR control in distribution substations
  in isolated power systems

abstract:
  This paper presents a fuzzy inference system for voltage/reactive power
control in distribution substations. The purpose is go forward to automation
distribution and its implementation in isolated power systems where control
capabilities are limited and it is common using the same applications as in
continental power systems. This means that lot of functionalities do not apply
and computational burden generates high response times. A fuzzy controller,
with logic guidelines embedded based upon heuristic rules resulting from
operators at dispatch control center past experience, has been designed.
Working as an on-line tool, it has been tested under real conditions and it has
managed the operation during a whole day in a distribution substation. Within
the limits of control capabilities of the system, the controller maintained
successfully an acceptable voltage profile, power factor values over 0,98 and
it has ostensibly improved the performance given by an optimal power flow based
automation system.


title: Bounds on the radius and status of graphs

abstract:
  Two classical concepts of centrality in a graph are the median and the
center. The connected notions of the status and the radius of a graph seem to
be in no relation. In this paper, however, we show a clear connection of both
concepts, as they obtain their minimum and maximum values at the same type of
tree graphs. Trees with fixed maximum degree and extremum radius and status,
resp., are characterized. The bounds on radius and status can be transferred to
general connected graphs via spanning trees.
  A new method of proof allows not only to regain results of Lin et al. on
graphs with extremum status, but it allows also to prove analogous results on
graphs with extremum radius.


title: Random sets of finite perimeter

abstract:
  An approach to modelling random sets with locally finite perimeter as random
elements in the corresponding subspace of $L^1$ functions is suggested. A
Crofton formula for flat sections of the perimeter is shown. Finally, random
processes of particles with finite perimeter are introduced and it is shown
that their union sets are random sets with locally finite perimeter.


title:
Positron Annihilation Study of Zn O Nanoparticles Grown under Folic Acid
  Template

abstract:
  Positron lifetime spectroscopy (PAL), Doppler broadening (DB) as well as
coincidence Doppler broadening (CDB) spectroscopy of a new variety of Folic
acid (FA) capped zinc oxide nano-particle samples has been performed at room
temperature. The results show interesting patterns of observation, hither-to
unobserved in ZnO wurtzite crystalline samples, such as predominance of
positronium formation, as reflected in the (PAL) analysis, phase transition in
the nano crystalline samples at ~0.8-1.0 % FA concentration as depicted from DB
results. Also, the chemical environment of the samples has been analysed from
the ratio curves of CDB studies. Beside these, other independent results from
X-ray diffraction (XRD) data and Debye- Scherrer method, Transmission electron
microscopic (TEM) observations and as well as Fourier transformed infrared
spectroscopic (FT-IR) analysis are reported for comparison.


title: Signatures of tunable Majorana-fermion edge states

abstract:
  Chiral Majorana-fermion modes are shown to emerge as edge excitations in a
superconductor--topological-insulator hybrid structure that is subject to a
magnetic field. The velocity of this mode is tunable by changing the
magnetic-field magnitude and/or the superconductor's chemical potential. We
discuss how quantum-transport measurements can yield experimental signatures of
these modes. A normal lead coupled to the Majorana-fermion edge state through
electron tunneling induces resonant Andreev reflections from the lead to the
grounded superconductor, resulting in a distinctive pattern of
differential-conductance peaks.


title: Stable local moments of vacancies and hollow-site impurities in graphene

abstract:
  Taking into account the possibility of a p-wave hybridization function
$V(\vec k)$ of ad-atom with Dirac electrons in graphene -- which arises for
vacancies and hollow-site impurities -- we study the nature of magnetic moment
formation within the single impurity Anderson model (SIAM). Compared to the
s-wave hybridization function, we find that the local moments formed within the
Hartree mean field are robust against the change in the parameters of the
model. Further we investigate the stability of the local moments with respect
to quantum fluctuations by going beyond the Hartree approximation. We find that
for parameter regimes where local moments formed by top-site ad-atoms are
completely washed out by quantum fluctuations, those formed by vacancies (or
hollow-site impurities) survive the quantum fluctuations captured by
post-Hartree approximation. Hence vacancies and hollow-site ad-atoms are
suitable candidates to produce stable local moments.


title:
Evidence for an oscillation of the magnetic axis of the white dwarf in
  the polar DP Leonis

abstract:
  From 1979 to 2001, the magnetic axis of the white dwarf in the polar DP Leo
slowly rotated by 50 deg in azimuth, possibly indicating a small asynchronism
between the rotational and orbital periods of the magnetic white dwarf. We have
obtained phase-resolved orbital light curves between 2009 and 2013, which show
that this trend has not continued in recent years. Our data are consistent with
the theoretically predicted oscillation of the magnetic axis of the white dwarf
about an equilibrium orientation, which is defined by the competition between
the accretion torque and the magnetostatic interaction of the primary and
secondary star. Our data indicate an oscillation period of ~60 yr, an amplitude
of about 25 deg, and an equilibrium orientation leading the connecting line of
the two stars by about 7 deg.


title: Optimal consumption and portfolio choice with ambiguity

abstract:
  We consider optimal consumption and portfolio choice in the presence of
Knightian uncertainty in continuous-time. We embed the problem into the new
framework of stochastic calculus for such settings, dealing in particular with
the issue of non-equivalent multiple priors. We solve the problem completely by
identifying the worst--case measure. Our setup also allows to consider interest
rate uncertainty; we show that under some robust parameter constellations, the
investor optimally puts all his wealth into the asset market, and does not save
or borrow at all.


title:
Quantifying intrinsic and extrinsic noise in gene transcription using
  the linear noise approximation: An application to single cell data

abstract:
  A central challenge in computational modeling of dynamic biological systems
is parameter inference from experimental time course measurements. However, one
would not only like to infer kinetic parameters but also study their
variability from cell to cell. Here we focus on the case where single-cell
fluorescent protein imaging time series data are available for a population of
cells. Based on van Kampen's linear noise approximation, we derive a dynamic
state space model for molecular populations which is then extended to a
hierarchical model. This model has potential to address the sources of
variability relevant to single-cell data, namely, intrinsic noise due to the
stochastic nature of the birth and death processes involved in reactions and
extrinsic noise arising from the cell-to-cell variation of kinetic parameters.
In order to infer such a model from experimental data, one must also quantify
the measurement process where one has to allow for nonmeasurable molecular
species as well as measurement noise of unknown level and variance. The
availability of multiple single-cell time series data here provides a unique
testbed to fit such a model and quantify these different sources of variation
from experimental data.


title:
Comments on the role of field redefinition on renormalisation of
  $N=\frac{1}{2}$ supersymmetric pure gauge theory

abstract:
  We study one loop corrections to $N=\frac{1}{2}$ supersymmetric $SU(N)\times
U(1)$ pure gauge theory. We calculate divergent contributions of the 1PI graphs
contain the non-anti-commutative parameter $C$ up to one loop corrections. We
find the disagreement between component formalism and superspace formalism is
because of the field redefinition in component case. We modify gaugino field
redefinition and lagrangian. We show extra terms of lagrangian have been
generated by $\lambda$ redefinition and are necessary for the renormalisation
of the theory. Finally we prove $N = \frac{1}{2}$ supersymmetric gauge theory
is renormalisable up one loop corrections using standard method of
renormalisation


title: Singular del Pezzo fibrations and birational rigidity

abstract:
  A known conjecture of Grinenko in birational geometry asserts that a Mori
fibre space with the structure of del Pezzo fibration of low degree is
birationally rigid if and only if its anticanonical class is an interior point
in the cone of mobile divisors. The conjecture is proved to be true for smooth
models (with a generality assumption for degree 3). It is speculated that the
conjecture holds for, at least, Gorenstein models in degree 1 and 2. In this
article, I present a (Gorenstein) counterexample in degree 2 to this
conjecture.


title: Primordial Black Hole Clusters and their Evolution

abstract:
  A possibility of pregalactic seeds of the Active Galactic Nuclei can be a
nontrivial cosmological consequence of particle theory. Such seeds can appear
as Primordial Black Hole (PBH) clusters, formed in the succession of phase
transitions with spontaneous and then manifest breaking of the global U(1)
symmetry. If the first phase transition takes place at the inflationary stage,
a set of massive closed walls may be formed at the second phase transition and
the collapse of these closed walls can result in formation of PBH clusters. We
present the results of our studies of the evolution of such PBH Clusters.


title: Neutrino mass and Extreme Value Distributions in $\beta$-decay

abstract:
  We propose a new application of the Extreme Value Theory for distributions
with compact support. The novelty of our proposal is the use of these tools to
estimate the neutrino mass from the energy spectrum of electrons in
$\beta$-decay. In this way the dependence of the result on the mass of the
neutrino is considerably enhanced increasing the sensitivity of the experiment.


title: Higher Spins in Hyperspace

abstract:
  We consider the Sp(2n) invariant formulation of higher spin fields on flat
and curved backgrounds of constant curvature.In this formulation an infinite
number of higher spin fields are packed into single scalar and spinor master
fields (hyperfields) propagating on extended spaces, to be called hyperspaces,
parametrized by tensorial coordinates.We show that the free field equations on
flat and AdS-like hyperspaces are related to each other by a generalized
conformal transformation of the scalar and spinor master fields. We compute the
four--point functions on a flat hyperspace for both scalar and spinor master
fields, thus extending the two-- and three--point function results of
arXiv:hep-th/0312244. Then using the generalized conformal transformation we
derive two--, three-- and four--point functions on AdS--like hyperspace from
the corresponding correlators on the flat hyperspace.


title: Radiative Capture of Twisted Electrons by Bare Ions

abstract:
  Recent advances in the production of twisted electron beams with a
subnanometer spot size offer unique opportunities to explore the role of
orbital angular momentum (OAM) in basic atomic processes. In the present work,
we address one of these processes: radiative recombination of twisted electrons
with bare ions. Based on the density matrix formalism and the non-relativistic
Schr\"odinger theory, analytical expressions are derived for the angular
distribution and the linear polarization of photons emitted due to the capture
of twisted electrons into the ground state of (hydrogen-like) ions. We show
that these angular and polarization distributions are sensitive to both, the
transverse momentum and the topological charge of the electron beam. To observe
in particular the value of this charge, we propose an experiment that makes use
of the coherent superposition of two twisted beams.


title: Dynamical quark mass generation in a strong external magnetic field

abstract:
  We investigate the effect of a strong magnetic field on dynamical chiral
symmetry breaking in quenched and unquenched QCD. To this end we apply the
Ritus formalism to the coupled set of (truncated) Dyson-Schwinger equations for
the quark and gluon propagator under the presence of an external constant
Abelian magnetic field. We work with an approximation that is trustworthy for
large fields eH > \Lambda_{QCD}^2 but is not restricted to the lowest Landau
level. We confirm the linear rise of the quark condensate with large external
field previously found in other studies and observe the transition to the
asymptotic power law at extremely large fields. We furthermore quantify the
validity of the lowest Landau level approximation and find substantial
quantitative differences to the full calculation even at very large fields. We
discuss unquenching effects in the strong field propagators, condensate and the
magnetic polarization of the vacuum. We find a significant weakening of
magnetic catalysis caused by the back reaction of quarks on the Yang-Mills
sector. Our results support explanations of the inverse magnetic catalysis
found in recent lattice studies due to unquenching effects.


title:
The star-formation history of mass-selected galaxies from the VIDEO
  survey

abstract:
  We measure star-formation rates (SFRs) and specific SFRs (SSFRs) of
Ks-selected galaxies from the VIDEO survey by stacking 1.4-GHz Very Large Array
data. We split the sample, which spans 0 < z < 3 and stellar masses 10**8.0 <
Mstellar/Msol < 10**11.5, into elliptical, irregular or starburst galaxies
based on their spectral-energy distributions. We find that SSFR falls with
stellar mass, in agreement with the `downsizing' paradigm. We consider the
dependence of the SSFR-mass slope on redshift: for our full and elliptical
samples the slope flattens, but for the irregular and starburst samples the
slope is independent of redshift. The rate of SSFR evolution reduces slightly
with stellar mass for ellipticals, but irregulars and starbursts co-evolve
across stellar masses.
  Our results for SSFR as a function of stellar mass and redshift are in
agreement with those derived from other radio-stacking measurements of
mass-selected passive and star-forming galaxies, but inconsistent with those
generated from semi-analytic models, which tend to underestimate SFRs and
SSFRs. There is a need for deeper high-resolution radio surveys such as those
from telescopes like the next-generation MeerKAT in order to probe lower masses
at earlier times and to permit direct detections, i.e. to study individual
galaxies in detail.


title:
A counterexample to the weak density of smooth maps between manifolds in
  Sobolev spaces

abstract:
  The present paper presents a counterexample to the sequentially weak density
of smooth maps between two manifolds $M$ and $N$ in the Sobolev space $W^{1, p}
(M, N)$, in the case $p$ is an integer. It has been shown that, if $p<\dim M $
is not an integer and the $[p]$-th homotopy group $\pi_{[p]}(N)$ of $N$ is not
trivial, $[p]$ denoting the largest integer less then $p$, then smooth maps are
not sequentially weakly dense in $W^{1, p} (M, N)$ for the strong convergence.
On the other, in the case $p< \dim M$ is an integer, examples have been
provided where smooth maps are actually sequentially weakly dense in $W^{1, p}
(M, N)$ with $\pi_{p}(N)\not = 0$. This is the case for instance for $M=
\mathbb B^m$, the standard ball in $\mathbb R^m$, and $N=\mathbb S^p$ the
standard sphere of dimension $p$, for which $\pi_{p}(N) =\mathbb Z$. The main
result of this paper shows however that such a property does not holds for
arbitrary manifolds $N$ and integers $p$.Our counterexample deals with the case
$p=3$, $\dim M\geq 4$ and $N=\mathbb S^2$, for which the homotopy group
$\pi_3(\mathbb S^2)=\mathbb Z$ is related to the Hopf fibration.


title:
Li dynamics in carbon-rich polymer-derived SiCN ceramics probed by
  nuclear magnetic resonance

abstract:
  We report $^{7}$Li, $^{29}$Si, and $^{13}$C NMR studies of two different
carbon-rich SiCN ceramics SiCN-1 and SiCN-3 derived from the preceramic
polymers polyphenylvinylsilylcarbodiimide and polyphenylvinylsilazane,
respectively. From the spectral analysis of the three nuclei at room
temperature, we find that only the $^{13}$C spectrum is strongly influenced by
Li insertion/extraction, suggesting that carbon phases are the major
electrochemically active sites for Li storage. Temperature and Larmor frequency
($\omega_L$) dependences of the $^7$Li linewidth and spin-lattice relaxation
rates $T_1^{-1}$ are described by an activated law with the activation energy
$E_A$ of 0.31 eV and the correlation time $\tau_0$ in the high temperature
limit of 1.3 ps. The $3/2$ power law dependence of $T_1^{-1}$ on $\omega_L$
which deviates from the standard Bloembergen, Purcell, and Pound (BPP) model
implies that the Li motion on the $\mu$s timescale is governed by continuum
diffusion mechanism rather than jump diffusion. On the other hand, the rotating
frame relaxation rate $T_{1\rho}^{-1}$ results suggest that the slow motion of
Li on the ms timescale may be affected by complex diffusion and/or
non-diffusion processes.


title:
An easy-to-use algorithm for simulating traffic flow on networks:
  theoretical study

abstract:
  In this paper we study a model for traffic flow on networks based on a
hyperbolic system of conservation laws with discontinuous flux. Each equation
describes the density evolution of vehicles having a common path along the
network. In this formulation the junctions apparently disappear since each path
is considered as a single uninterrupted road. We consider a Godunov-based
approximation scheme for the system which is very easy to implement. Besides
basic properties like the conservation of cars and positive bounded solutions,
the scheme exhibits nice properties, being able to select automatically a
reasonable solution at junctions without requiring external procedures (e.g.,
maximization of the flux via a linear programming method). Moreover, the scheme
can be interpreted as a discretization of the traffic models with buffer,
although any buffer is introduced here. Finally, we show how the scheme can be
recast in the framework of the classical theory of traffic flow on networks,
where a conservation law has to be solved on each arc of the network. This is
achieved by solving the Riemann problem for a modified equation, and showing
that its solution corresponds to the one computed by the numerical scheme.


title:
On classification of groups of points on abelian varieties over finite
  fields

abstract:
  In this paper we improve our previous results on classification of groups of
points on abelian varieties over finite fields. The classification is given in
terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class.


title:
Equation of state of hypernuclear matter: tuning hyperon--scalar-meson
  couplings

abstract:
  We discuss to which extent the modifications of the hyperon--scalar-meson
coupling constants affect the equation of state (EoS) hypernuclear matter. The
study is carried out within a relativistic density functional theory. The
nucleonic matter is described in terms of a density-dependent parametrization
of nucleon-meson couplings, whereas the hyperon--meson couplings are deduced
from the octet model. We identify the parameter space of hyperon-meson
couplings for which massive stellar configurations with $M\le 2.25 M_{\odot}$
exist. We also discuss the EoS at finite temperatures with and without of a
trapped neutrino component and show that neutrinos stiffen the EoS and change
qualitatively the composition of stellar matter.


title: Evidence for Magneto-Levitation Accretion in Long-Period X-ray Pulsars

abstract:
  Study of observed spin evolution of long-period X-ray pulsars challenges
quasi-spherical and Keplerian disk accretion scenarios. It suggests that the
magnetospheric radius of the neutron stars is substantially smaller than Alfven
radius and the spin-down torque applied to the star from accreting material
significantly exceeds the value predicted by the theory. We show that these
problems can be avoided if the fossil magnetic field of the accretion flow
itself is incorporated into the accretion model. The initially spherical flow
in this case decelerates by its own magnetic field and converts into a
non-Keplerian disk (magnetic slab) in which the material is confined by its
intrinsic magnetic field ("levitates") and slowly moves towards the star on a
diffusion timescale. Parameters of pulsars expected within this
magneto-levitation accretion scenario are evaluated.


title: Applications of electrostatic capacitance and charging

abstract:
  The capacitance of an arbitrarily shaped object is calculated with the same
second-kind integral equation method used for computing static and dynamic
polarizabilities. The capacitance is simply the dielectric permittivity
multiplied by the area of the object and divided by the squared norm of the
Neumann-Poincar\'{e} operator eigenfunction corresponding to the largest
eigenvalue. The norm of this eigenfunction varies slowly with shape thus
enabling the definition of two scale-invariant shape factors and perturbative
calculations of capacitance. The result is extended to a special class of
capacitors in which the electrodes are the equipotential surfaces generated by
the equilibrium charge on the object. This extention allows analytical
expressions of capacitance for confocal spheroidal capacitors and finite
cylinders. Moreover, a second order formula for thin constant-thickness
capacitors is given with direct applications for capacitance of membranes in
living cells and of supercapacitors. For axisymmetric geometries a fast and
accurate numerical method is provided.

categories: cond-mat.mes-hall physics.bio-ph physics.chem-ph physics.comp-ph


title: Local rigid cohomology of singular points

abstract:
  We show that if two singular points $x' \in X'$ and $x \in X$ on schemes over
a field $k$ of characteristic $p > 0$ are contact equivalent then the rigid
cohomology spaces $H^{\bullet}_{rig, \{x\}}(X)$ and $H^{\bullet}_{rig,
\{x'\}}(X')$ are isomorphic. The isomorphism that we construct is moreover
compatible with the Frobenius structure on rigid cohomology.


title: Extremal holomorphic maps in special classes of domains

abstract:
  In the paper we discuss three different notions of extremal holomorphic
mappings: weak $m$-extremals, $m$-extremals and $m$-complex geodesics. We
discuss relations between them in general case and in the special cases of unit
ball, classical Cartan domains, symmetrised bidisc and tetrablock. In
particular we show that weak $3$-extremal maps in the symmetrised bidisc are
rational thus giving the (partial) answer to a problem posed in a recent paper
by J. Agler, Z. Lykova and N. J. Young.


title:
The features of contact resistivity behavior at helium temperatures for
  InP- and GaAs-based ohmic contacts

abstract:
  Contact resistivity rc of InP and GaAs based ohmic contacts was measured in
the 4.2/300 K temperature range. Nonmonotonic dependences rc(T), with a minimum
at temperature 50 K (150 K) for InP (GaAs) based contacts were obtained. The
results can be explained within the framework of the mechanism of current flow
through metal shunts (associated with dislocations) penetrating into the
semiconductor bulk, with allowance being made for electron freeze-out at helium
temperatures. Contact ohmicity in the 4.2/30K temperature range is due to
accumulation band bending near shunt ends at the metal/semiconductor interface.


title: The hyperfine Paschen-Back Faraday effect

abstract:
  We investigate experimentally and theoretically the Faraday effect in an
atomic medium in the hyperfine Paschen-Back regime, where the Zeeman
interaction is larger than the hyperfine splitting. We use a small permanent
magnet and a micro-fabricated vapour cell, giving magnetic fields of the order
of a Tesla. We show that for low absorption and small rotation angles, the
refractive index is well approximated by the Faraday rotation signal, giving a
simple way to measure the atomic refractive index. Fitting to the atomic
spectra, we achieve magnetic field sensitivity at the $10^{-4}$ level. Finally
we note that the Faraday signal shows zero crossings which can be used as
temperature insensitive error signals for laser frequency stabilisation at
large detuning. The theoretical sensitivity for $^{87}$Rb is found to be $\sim
40$ kHz/$^\circ$C.


title: Validation of Compton Scattering Monte Carlo Simulation Models

abstract:
  Several models for the Monte Carlo simulation of Compton scattering on
electrons are quantitatively evaluated with respect to a large collection of
experimental data retrieved from the literature. Some of these models are
currently implemented in general purpose Monte Carlo systems; some have been
implemented and evaluated for possible use in Monte Carlo particle transport
for the first time in this study. Here we present first and preliminary results
concerning total and differential Compton scattering cross sections.


title:
Ultra-narrow Linewidth Fiber Laser with Self-injection Feedback Based on
  Rayleigh Backscattering

abstract:
  A single longitudinal mode fiber laser with ultra-narrow linewidth based on
self-injection feedback by using the linewidth compress mechanism of Rayleigh
backscattering (RBS) are proposed and demonstrated. Since the linewidth of RBS
is narrower than that of the incident light in optical fibers and they have the
same centre wavelength, the RBS can act as a mechanism to compress the
linewidth of the incident light in fiber ring laser. In addition, more RBS
signal could be collected to help further compress the laser linewidth besides
the free spectral range is expanded when the self-injection feedback method is
used. Our experimental results show that the side-mode suppression ratio of our
laser is up to 75dB and the laser linewidth could be low to ~130Hz.


title: A remark on the discriminant of Hill's equation and Herglotz functions

abstract:
  We establish a link between the basic properties of the discriminant of
periodic second-order differential equations and an elementary analysis of
Herglotz functions. Some generalizations are presented using the language of
self-adjoint extensions.


title: Calibrated imputation of numerical data under linear edit restrictions

abstract:
  A common problem faced by statistical institutes is that data may be missing
from collected data sets. The typical way to overcome this problem is to impute
the missing data. The problem of imputing missing data is complicated by the
fact that statistical data often have to satisfy certain edit rules and that
values of variables across units sometimes have to sum up to known totals. For
numerical data, edit rules are most often formulated as linear restrictions on
the variables. For example, for data on enterprises edit rules could be that
the profit and costs of an enterprise should sum up to its turnover and that
the turnover should be at least zero. The totals of some variables across units
may already be known from administrative data (e.g., turnover from a tax
register) or estimated from other sources. Standard imputation methods for
numerical data as described in the literature generally do not take such edit
rules and totals into account. In this article we describe algorithms for
imputing missing numerical data that take edit restrictions into account and
ensure that sums are calibrated to known totals. These algorithms are based on
a sequential regression approach that uses regression predictions to impute the
variables one by one. To assess the performance of the imputation methods, a
simulation study is carried out as well as an evaluation study based on a real
data set.


title: Age and metallicity gradients support hierarchical formation for M87

abstract:
  In order to probe the inside-out formation of the most massive galaxies in
the Universe, we have explored the radial (0.1 < R < 8 kpc) variation of the
spectral energy distribution (SED) of M87 from UV to IR. For this purpose, we
have combined high resolution data in 16 different bands. Our analysis indicate
that the age of the stellar population of M87 remains almost unchanged with
radius. However, the metallicity ([Z/H]) profile presents three different
zones: the innermost kpc shows a plateau with supersolar metallicity, followed
by a decline in metallicity down to 5 kpc and another plateau afterwards. The
size of the inner plateau is similar to the expected size (Re) of an object
with the predicted mass of M87 at z=2. The global [Z/H] gradient is -0.26 +-
0.10, similar to those found in other nearby massive ellipticals. The observed
change in the stellar population of M87 is consistent with a rapid formation of
the central part (R<5 kpc) of this galaxy followed by the accretion of the
outer regions through the infall of more metal-poor material.


title: A panoramic VISTA of the stellar halo of NGC 253

abstract:
  Outskirts of large galaxies contain important information about the galaxy
formation and assembly process, and resolved star count studies can probe the
extremely low surface brightness of the outer halos. We use images obtained
with the VISTA telescope to construct spatially resolved J vs Z-J
colour-magnitude diagrams (CMDs) of NGC 253, a nearly edge-on disk galaxy in
the Sculptor group. The very deep photometry, down to J ~ 23.5, and the wide
area covered allows us to trace the red giant branch (RGB) and asymptotic giant
branch (AGB) stars that belong to the outer disk and the halo of NGC 253, out
to 50 kpc along the galaxy minor axis. We confirm the existence of an extra
planar stellar component of the disk, with a very prominent southern shelf and
a symmetrical feature on the north side. The only additional visible
sub-structure is an overdensity in the north-west part of the halo at about 28
kpc from the plane and extending over ~ 20 kpc parallel with the disk of the
galaxy. From the stellar count profile along the major axis we measure the
transition from the disk to the halo at a radial distance of about 25 kpc,
where a clear break appears in the number density profile. The isodensity
contours show that the inner halo is a flattened structure that blends with a
more extended, diffuse, rounder outer halo. Such external structure can be
traced to the very edge of our image out to 50 kpc from the disk plane. The
number density profile of the stars in the stellar halo follows a power law
with index -1.6, as function of radius. The CMD shows a very homogeneous
stellar population across the whole field; by comparison with theoretical
isochrones we conclude that the RGB stars are ~ 8 Gyr old or more, while the
AGB stars trace a population of about 2 x 10^8 Mo, formed from ~ 0.5 to a few
Gyr ago. Surprisingly, part of this latter population appears scattered over a
wide area.


title: Isotropization of the Quark Gluon Plasma

abstract:
  We report here recent analytical and numerical work on the theoretical
treatment of the early stages of heavy ion collisions, that amounts to solving
the classical Yang-Mills equations with fluctuating initial conditions. Our
numerical simulations suggest a fast isotropization of the pressure tensor of
the system. This trend appears already for small values of the coupling
constant $\alpha_s$ . In addition, the system exhibits an anomalously small
shear viscosity.


title: A flexible Particle Markov chain Monte Carlo method

abstract:
  Particle Markov Chain Monte Carlo methods are used to carry out inference in
non-linear and non-Gaussian state space models, where the posterior density of
the states is approximated using particles. Current approaches usually perform
Bayesian inference using either a particle Marginal Metropolis-Hastings (PMMH)
algorithm or a particle Gibbs (PG) sampler. This paper shows how the two ways
of generating variables mentioned above can be combined in a flexible manner to
give sampling schemes that converge to a desired target distribution. The
advantage of our approach is that the sampling scheme can be tailored to obtain
good results for different applications. For example, when some parameters and
the states are highly correlated, such parameters can be generated using PMMH,
while all other parameters are generated using PG because it is easier to
obtain good proposals for the parameters within the PG framework. We derive
some convergence properties of our sampling scheme and also investigate its
performance empirically by applying it to univariate and multivariate
stochastic volatility models and comparing it to other PMCMC methods proposed
in the literature.


title: Cooperative wrapping of nanoparticles by membrane tubes

abstract:
  The bioactivity of nanoparticles crucially depends on their ability to cross
biomembranes. Recent simulations indicate the cooperative wrapping and
internalization of spherical nanoparticles in tubular membrane structures. In
this article, we systematically investigate the energy gain of this cooperative
wrapping by minimizing the energies of the rotationally symmetric shapes of the
membrane tubes and of membrane segments wrapping single particles. We find that
the energy gain for the cooperative wrapping of nanoparticles in membrane tubes
relative to their individual wrapping as single particles strongly depends on
the ratio of the particle radius and the range of the particle-membrane
adhesion potential. For a potential range of the order of one nanometer, the
cooperative wrapping in tubes is highly favorable for particles with a radius
of tens of nanometers and intermediate adhesion energies, but not for particles
that are significantly larger.


title: Smart machines and the SP theory of intelligence

abstract:
  These notes describe how the "SP theory of intelligence", and its embodiment
in the "SP machine", may help to realise cognitive computing, as described in
the book "Smart Machines". In the SP system, information compression and a
concept of "multiple alignment" are centre stage. The system is designed to
integrate such things as unsupervised learning, pattern recognition,
probabilistic reasoning, and more. It may help to overcome the problem of
variety in big data, it may serve in pattern recognition and in the
unsupervised learning of structure in data, and it may facilitate the
management and transmission of big data. There is potential, via information
compression, for substantial gains in computational efficiency, especially in
the use of energy. The SP system may help to realise data-centric computing,
perhaps via a development of Hebb's concept of a "cell assembly", or via the
use of light or DNA for the processing of information. It has potential in the
management of errors and uncertainty in data, in medical diagnosis, in
processing streams of data, and in promoting adaptability in robots.


title: The scaling and mass expansion

abstract:
  The scaling and mass expansion (shortly 'sm-expansion') is a new axiom for
causal perturbation theory, which is a stronger version of a frequently used
renormalization condition in terms of Steinmann's scaling degree. If one
quantizes the underlying free theory by using a Hadamard function (which is
smooth in $m\geq 0$), one can reduce renormalization of a massive model to the
extension of a minimal set of mass-independent, almost homogeneously scaling
distributions by a Taylor expansion in the mass $m$. The sm-expansion is a
generalization of this Taylor expansion, which yields this crucial
simplification of the renormalization of massive models also for the case that
one quantizes with the Wightman two-point function, which contains a
$\log(-(m^2(x^2-ix^0 0))$-term. We construct the general solution of the new
system of axioms (i.e. the usual axioms of causal perturbation theory completed
by the sm-expansion), and illustrate the method for a divergent diagram which
contains a divergent subdiagram.


title: Distributed Energy Efficient Channel Allocation

abstract:
  Design of energy efficient protocols for modern wireless systems has become
an important area of research. In this paper, we propose a distributed
optimization algorithm for the channel assignment problem for multiple
interfering transceiver pairs that cannot communicate with each other. We first
modify the auction algorithm for maximal energy efficiency and show that the
problem can be solved without explicit message passing using the carrier sense
multiple access (CSMA) protocols. We then develop a novel scheme by converting
the channel assignment problem into perfect matchings on bipartite graphs. The
proposed scheme improves the energy efficiency and does not require any
explicit message passing or a shared memory between the users. We derive bounds
on the convergence rate and show that the proposed algorithm converges faster
than the distributed auction algorithm and achieves near-optimal performance
under Rayleigh fading channels. We also present an asymptotic performance
analysis of the fast matching algorithm for energy efficient resource
allocation and prove the optimality for large enough number of users and number
of channels. Finally, we provide numerical assessments that confirm the energy
efficiency gains compared to the state of the art.


title:
Dynamic exchange via spin currents in acoustic and optical modes of
  ferromagnetic resonance in spin-valve structures

abstract:
  Two ferromagnetic layers magnetically decoupled by a thick normal metal
spacer layer can be, nevertheless, dynamically coupled via spin currents
emitted by the spin-pump and absorbed through the spin-torque effects at the
neighboring interfaces. A decrease of damping in both layers due to a partial
compensation of the angular momentum leakage in each layer was previously
observed at the coincidence of the two ferromagnetic resonances. In case of
non-zero magnetic coupling, such a dynamic exchange will depend on the mutual
precession of the magnetic moments in the layers. A difference in the linewidth
of the resonance peaks is expected for the acoustic and optical regimes of
precession. However, the interlayer coupling hybridizes the resonance responses
of the layers and therefore can also change their linewidths. The interplay
between the two mechanisms has never been considered before. In the present
work, the joint influence of the hybridization and non-local damping on the
linewidth has been studied in weakly coupled NiFe/CoFe/Cu/CoFe/MnIr spin-valve
multilayers. It has been found that the dynamic exchange by spin currents is
different in the optical and acoustic modes, and this difference is dependent
on the interlayer coupling strength. In contrast to the acoustic precession
mode, the dynamic exchange in the optical mode works as an additional damping
source. A simulation in the framework of the Landau-Lifshitz-Gilbert formalism
for two ferromagnetic layers coupled magnetically and by spin currents has been
done to separate the effects of the non-local damping from the resonance modes
hybridization. In our samples both mechanisms bring about linewidth changes of
the same order of magnitude, but lead to a distinctly different angular
behavior. The obtained results are relevant for a broad class of coupled
magnetic multilayers with ballistic regime of the spin transport.


title: Modeling, analysis and design of linear systems with switching delays

abstract:
  We consider the modeling, stability analysis and controller design problems
for discrete-time LTI systems with state feedback, when the actuation signal is
subject to switching propagation delays, due to e.g. the routing in a multi-hop
communication network. We show how to model these systems as regular switching
linear systems and, as a corollary, we provide an (exponential-time) algorithm
for robust stability analysis. We also show that the general stability analysis
problem is NP-hard in general. Even though the systems studied here are
inherently switching systems, we show that their particular structure allows
for analytical understanding of the dynamics, and even efficient algorithms for
some problems: for instance, we give an algorithm that computes in a finite
number of steps the minimal look-ahead knowledge of the delays necessary to
achieve controllability. We finally show that when the switching signal cannot
be measured it can be necessary to use nonlinear controllers for stabilizing a
linear plant.


title: Testing order restrictions in contingency tables

abstract:
  Several interesting models for contingency tables are defined by a system of
equality and inequality constraints on a suitable set of marginal log-linear
parameters. After reviewing the most common difficulties which are intrinsic to
order restricted testing problems, we propose two new families of testing
procedures, based on similar attempts appeared in the econometric literature,
in order to increase the probability of detecting several relevant violations
of the supposed order relations. One set of procedures is based on the
decomposition of the log-likelihood ratio when testing the given set of
inequalities and the nested model derived by forcing inequalities into strict
equalities. The other set uses the asymptotic joint normal distribution of the
estimates of the marginal log-linear parameters to be constrained.


title:
Dust origin in late-type dwarf galaxies: ISM growth vs. type II
  supernovae

abstract:
  We re-evaluate the roles of different dust sources in dust production as a
function of metallicity in late-type dwarf galaxies, with the goal of
understanding the relation between dust content and metallicity. The dust
content of late-type dwarf galaxies with episodic star formation is studied
with a multicomponent model of dust evolution, which includes dust input from
AGB stars, type II SNe and dust mass growth by accretion of gas species in the
ISM. Dust growth in the ISM becomes an important dust source in dwarf galaxies,
on the timescale of 0.1 - few Gyrs. It increases the dust-to-gas ratio (DGR)
during post-burst evolution, unlike type II SNe, which eject grains into the
ISM only during starbursts. Before the dust growth in the ISM overtakes the
dust production, AGB stars can be major sources of dust in metal-poor dwarf
galaxies. Our models reproduce the relation between the DGR and oxygen
abundance, derived from observations of a large sample of dwarf galaxies. The
steep decrease in the DGR at low O values is explained by the relatively low
efficiency of dust condensation in stars. The scatter observed at higher O
values is determined mainly by different critical metallicities for the
transition from stardust- to ISM-growth dominated dust production, depending on
the star formation history. In galaxies with episodic star formation,
additional dispersion in the DGR is introduced by grain destruction during
starbursts, followed by an increase of the dust mass due to dust growth in the
ISM during post-burst evolution. We find that the carbon-to-silicate ratio
changes dramatically, when the ISM growth becomes the dominant dust source,
therefore this ratio can be used as an indicator of the transition. The
observed DGR-O relation in dwarf galaxies favours low condensation efficiencies
in type II SNe, together with an increase in the total dust mass by means of
dust growth in the ISM.


title:
Ion shock acceleration by large amplitude double layers in
  laser-produced plasmas

abstract:
  A kinetic model for the shock acceleration of ions in laser-produced plasmas
is developed. A fraction of the warm ions are accelerated by the large
amplitude monotonic potential of the double layer created due the plasma
compression and electron heating by the laser. It is found that the amplitude
of the large amplitude double layer is almost uniquely defined by the electron
temperature. Therefore, a balance between electron heating and plasma
compression is needed for optimal ion acceleration by this scheme. Typical Mach
numbers of the monotonic shocks are close to 1.5. The scheme could potentially
produce monoenergetic ions with a relative energy spread of less than 1
percent. The model is compared with recent simulations and experiments, where
efficient shocks acceleration and production of monoenergetic protons have been
observed. Similarities and differences with other shock models are pointed out
and discussed.


title: Tailoring reflections from thin composite metamirrors

abstract:
  We propose an effective route to fully control the phase of plane waves
reflected from electrically (optically) thin sheets. This becomes possible
using engineered artificial full-reflection layers (metamirrors) as arrays of
electrically small resonant bi-anisotropic particles. In this scenario, fully
reflecting mirrors do not contain any continuous ground plane, but only arrays
of small particles. Bi-anisotropic omega coupling is required to get asymmetric
response in reflection phase for plane waves incident from the opposite sides
of the composite mirror. It is shown that with this concept one can
independently tailor the phase of electromagnetic waves reflected from both
sides of the mirror array.


title: Inconsistencies in steady state thermodynamics

abstract:
  We address the issue of extending thermodynamics to nonequilibrium steady
states. Using driven stochastic lattice gases, we ask whether consistent
definitions of an effective chemical potential mu, and an effective temperature
T_e, are possible. mu and T_e are determined via coexistence, i.e., zero flux
of particles and energy between the driven system and a reservoir. In the
lattice gas with nearest-neighbor exclusion, temperature is not relevant, and
we find that the effective chemical potential, a function of density and drive
strength, satisfies the zeroth law, and correctly predicts the densities of
coexisting systems. In the Katz-Lebowitz-Spohn driven lattice gas both mu and
T_e need to be defined. We show analytically that in this case the zeroth law
is violated for Metropolis exchange rates, and determine the size of the
violations numerically. The zeroth law appears to be violated for generic
exchange rates. Remarkably, the system-reservoir coupling proposed by Sasa and
Tasaki [J. Stat. Phys. 125, 125 (2006)], is free of inconsistencies, and the
zeroth law holds. This is because the rate depends only on the state of the
donor system, and is independent of that of the acceptor.


title:
Introduction to Classical Density Functional Theory by a Computational
  Experiment

abstract:
  We propose an in-silico experiment to introduce classical density functional
theory (cDFT). Den- sity functional theories, whether quantum or classical,
rely on abstract concepts that are non- intuitive. However, they are at the
heart of powerful tools and active fields of research in both physics and
chemistry. They led to the 1998 Nobel Prize in chemistry. DFT is illustrated
here in its most simple and yet physically relevant form: the classical density
functional theory of an ideal fluid of classical particles. For illustration
purpose, it is applied to the prediction of the molecular structure of liquid
neon. The numerical experiment proposed therein is built around the writing of
a cDFT code by students in Mathematica. Students thus have to deal with (i) the
cDFT theory, (ii) some basic concepts of statistical mechanics of simple
fluids, (iii) functional minimization, and (iv) a useful functional programming
language. This computational experiment is proposed during a molecular
simulation class, but may also be of interest in a quantum chemistry class to
illustrate electronic DFT, if one highlights the analogies between the quantum
and classical DFTs.


title: Properties of nucleon in nuclear matter: once more

abstract:
  We calculate the mass and residue of the nucleon in nuclear matter in the
framework of QCD sum rules using the nucleon's interpolating current with an
arbitrary mixing parameter. We evaluate the effects of the nuclear medium on
these quantities and compare the obtained results with the existing theoretical
predictions. The results are also compared with those obtained in vacuum to
find the shifts in the quantities under consideration. Our calculations show
that these shifts in the mass and residue are about $32\%$ and $15\%$,
respectively.


title: Localization of eigenvectors in random graphs

abstract:
  Using exact numerical diagonalization, we investigate localization in two
classes of random matrices corresponding to random graphs. The first class
comprises the adjacency matrices of Erdos-Renyi (ER) random graphs. The second
one corresponds to random cubic graphs, with Gaussian random variables on the
diagonal. We establish the position of the mobility edge, applying the
finite-size analysis of the inverse participation ratio. The fraction of
localized states is rather small on the ER graphs and decreases when the
average degree increases. On the contrary, on cubic graphs the fraction of
localized states is large and tends to $1$ when the strength of the disorder
increases, implying that for sufficiently strong disorder all states are
localized. The distribution of the inverse participation ratio in localized
phase has finite width when the system size tends to infinity and exhibits
complicated multi-peak structure. We also confirm that the statistics of level
spacings is Poissonian in the localized regime, while for extended states it
corresponds to the Gaussian orthogonal ensemble.


title: Ship waves in the presence of uniform vorticity

abstract:
  Lord Kelvin's result that waves behind a ship lie within a half-angle 19 deg
28' is perhaps the most famous and striking result in the field of surface
waves. We solve the linear ship wave problem in the presence of a shear current
of constant vorticity S, and show that the Kelvin angles (one each side of
wake) as well as other aspects of the wake depend closely on the "shear Froude
number" Frs=VS/g (based on length g/S^2 and the ship's speed V), and on the
angle between current and the ship's line of motion. In all directions except
exactly along the shear flow there exists a critical value of Frs beyond which
no transverse waves are produced, and where the full wake angle reaches 180
deg. Such critical behaviour is previously known from waves at finite depth.
For side-on shear, one Kelvin angle can exceed 90 deg. On the other hand, the
angle of maximum wave amplitude scales as 1/Fr (Fr based on size of ship) when
Fr >> 1, a scaling virtually unaffected by the shear flow.


title:
Evaluating costs with unmeasured confounding: A sensitivity analysis for
  the treatment effect

abstract:
  Estimates of the effects of treatment on cost from observational studies are
subject to bias if there are unmeasured confounders. It is therefore advisable
in practice to assess the potential magnitude of such biases. We derive a
general adjustment formula for loglinear models of mean cost and explore
special cases under plausible assumptions about the distribution of the
unmeasured confounder. We assess the performance of the adjustment by
simulation, in particular, examining robustness to a key assumption of
conditional independence between the unmeasured and measured covariates given
the treatment indicator. We apply our method to SEER-Medicare cost data for a
stage II/III muscle-invasive bladder cancer cohort. We evaluate the costs for
radical cystectomy vs. combined radiation/chemotherapy, and find that the
significance of the treatment effect is sensitive to plausible unmeasured
Bernoulli, Poisson and Gamma confounders.


title:
On nonlinear viscoelastic deformations - a reappraisal of Fung's
  quasilinear viscoelastic model

abstract:
  This article offers a reappraisal of Fung's method for quasilinear
viscoelasticity. It is shown that a number of negative features exhibited in
other works, commonly attributed to the Fung approach, are merely a consequence
of the way it has been applied. The approach outlined herein is shown to yield
improved behaviour, and offers a straightforward scheme for solving a wide
range of models. Results from the new model are contrasted with those in the
literature for the case of uniaxial elongation of a bar: for an imposed stretch
of an incompressible bar, and for an imposed load. In the last case, a
numerical solution to a Volterra integral equation is required to obtain the
results. This is achieved by a high order discretisation scheme. Finally, the
stretch of a compressible viscoelastic bar is determined for two distinct
materials: Horgan-Murphy and Gent.


title: Optimal work of quantum Szilard engine

abstract:
  We have found the optimal condition of the work performed by the quantum
Szilard engine (SZE) containing multi-particles. Usually the optimal work of a
cyclic engine is achieved when the whole thermodynamic process is reversible.
Although the quantum SZE inherently contains an irreversible process, we can
still define effectively reversible protocol based upon the force of
time-forward and time-backward processes.


title: Pedestrian Route Choice by Iterated Equilibrium Search

abstract:
  In vehicular traffic planning it is a long standing problem how to assign
demand such on the available model of a road network that an equilibrium with
regard to travel time or generalized costs is realized. For pedestrian traffic
this question can be asked as well. However, as the infrastructure of
pedestrian dynamics is not a network (a graph), but two-dimensional, there is
in principle an infinitely large set of routes. As a consequence none of the
iterating assignment methods developed for road traffic can be applied for
pedestrians. In this contribution a method to overcome this problem is briefly
summarized and applied with an example geometry which as a result is enhanced
with routes with intermediate destination areas of certain shape. The enhanced
geometry is used in some exemplary assignment calculations.


title:
Nondecaying linear and nonlinear modes in a periodic array of spatially
  localized dissipations

abstract:
  We demonstrate the existence of extremely weakly decaying linear and
nonlinear modes (i.e. modes immune to dissipation) in the one-dimensional
periodic array of identical spatially localized dissipations, where the
dissipation width is much smaller than the period of the array. We consider
wave propagation governed by the one-dimensional Schr\"odinger equation in the
array of identical Gaussian-shaped dissipations with three parameters, the
integral dissipation strength $\Gamma_0$, the width $\sigma$ and the array
period $d$. In the linear case, setting $\sigma\to0$, while keeping $\Gamma_0$
fixed, we get an array of zero-width dissipations given by the Dirac
delta-functions, i.e. the complex Kroning-Penney model, where an infinite
number of nondecaying modes appear with the Bloch index being either at the
center, $k= 0$, or at the boundary, $k= \pi/d $, of an analog of the Brillouin
zone. By using numerical simulations we confirm that the weakly decaying modes
persist for $\sigma$ such that $\sigma/d\ll1$ and have the same Bloch index.
The nondecaying modes persist also if a real-valued periodic potential is added
to the spatially periodic array of dissipations, with the period of the
dissipative array being multiple of that of the periodic potential. We also
consider evolution of the soliton-shaped pulses in the nonlinear Schr\"odinger
equation with the spatially periodic dissipative lattice and find that when the
pulse width is much larger than the lattice period and its wave number $k$ is
either at the center, $k= 2\pi/d$, or at the boundary, $k= \pi/d $, a
significant fraction of the pulse escapes the dissipation forming a stationary
nonlinear mode with the soliton shaped envelope and the Fourier spectrum
consisting of two peaks centered at $k $ and $-k$.

categories: math-ph math.MP nlin.PS physics.optics quant-ph


title: Boyd's conjecture

abstract:
  We determine the limit of the rate $\frac{\nu_{n,a}}{n}$ between the number
$\nu_{n,a}$ of roots of the trinomial $x^n-ax-1$, $a\in (0,2]$, which are
greater than 1 in modulus, and degree $n$. The analogue of Boyd's Conjecture
(C) for Perron numbers is a consequence of the limit, under the assumption that
the conjecture of Lind-Boyd is valid. The product of these $\nu_{n,a}$ roots
has also a limit when $n\to\infty$. The explicit expression of the limit by an
integral is presented. The computing of the rate and the product for
$n=100,150$ as well as of its limits is presented.


title:
The tomb next door: An update to ``Statistical analysis of an
  archeological find''

abstract:
  In June of 2010 access via robotic means was obtained to a tomb adjacent to
the one studied in Feuerverger [Ann. Appl. Stat. 2 (2008) 3-54]. In this
update, we lay out and attempt to interpret the remarkable findings from this
second tomb and comment on the statistical and scientific significance of these
new data and of their possible inferential connections to the data from the
first tomb. Readers are then invited to formulate their own conclusions.


title:
Tendencies, Dead-ends, and Promising Ways. From Interface Ideas to New
  Programs

abstract:
  The mechanism of communication between users and devices is called interface.
From time to time changes in interface significantly improve our work with
computers even without any serious changes in programs themselves. Main ideas
in PCs interface were introduced many years ago and since then there are no
significant changes, while new devices show promising ways by using direct
manipulation of screen objects. Users' direct action with all the screen
objects of our ordinary PCs turns standard screens into touch screens of very
high resolution and not only changes the interface of familiar programs but
creates the new type of programs: user-driven applications.


title: A 1D Optomechanical crystal with a complete phononic band gap

abstract:
  Recent years have witnessed the boom of cavity optomechanics, which exploits
the confinement and coupling of optical and mechanical waves at the nanoscale.
Amongst their physical implementations, optomechanical (OM) crystals built on
semiconductor slabs enable the integration and manipulation of multiple OM
elements in a single chip and provide GHz phonons suitable for coherent phonon
manipulation. Different demonstrations of coupling of infrared photons and GHz
phonons in cavities created by inserting defects on OM crystals have been
performed. However, the considered structures do not show a complete phononic
bandgap, which should allow longer dephasing time, since acoustic leakage is
minimized. We demonstrate the excitation of acoustic modes in a 1D OM crystal
properly designed to display a full phononic bandgap for acoustic modes at 4
GHz. The modes inside the complete bandgap are designed to have mechanical Q
factors above 10e8 and invariant to fabrication imperfections.


title:
Mixing times of Markov chains on a cycle with additional long range
  connections

abstract:
  We develop Markov chain mixing time estimates for a class of Markov chains
with restricted transitions. We assume transitions may occur along a cycle of
$n$ nodes and on $n^\gamma$ additional edges, where $\gamma < 1$. We find that
the mixing times of reversible Markov chains properly interpolate between the
mixing times of the cycle with no added edges and of the cycle with $cn$ added
edges (which is in turn a Small World Network model). In the case of
non-reversible Markov-chains, a considerable gap remains between lower and
upper bounds, but simulations give hope to experience a significant speedup
compared to the reversible case.


title: Certification for mu-calculus with winning strategies

abstract:
  We define memory-efficient certificates for $\mu$-calculus model checking
problems based on the well-known correspondence of the $\mu$-calculus model
checking with winning certain parity games. Winning strategies can
independently checked, in low polynomial time, by observing that there is no
reachable strongly connected component in the graph of the parity game whose
largest priority is odd. Winning strategies are computed by fixpoint iteration
following the naive semantics of $\mu$-calculus. We instrument the usual
fixpoint iteration of $\mu$-calculus model checking so that it produces
evidence in the form of a winning strategy; these winning strategies can be
computed in polynomial time in $|S|$ and in space $O(|S|^2 |{\phi}|^2)$, where
$|S|$ is the size of the state space and $|\phi|$ the length of the formula
$\phi$\@. The main technical contribution here is the notion and algebra of
partial winning strategies. On the technical level our work can be seen as a
new, simpler, and immediate constructive proof of the correspondence between
$\mu$-calculus and parity games.


title: Successive filament eruptions within one solar breakout event

abstract:
  The magnetic breakout model has been widely used to explain solar eruptive
activities. Here, we apply it to explain successive filament eruptions occurred
in a quadrupolar magnetic source region. Based on the high temporal and spatial
resolution, multi-wavelengths observations taken by the Atmospheric Imaging
Assembly (AIA) on board the Solar Dynamic Observatory (SDO), we find some
signatures that support the occurrence of breakout-like external reconnection
just before the start of the successive filament eruptions. Furthermore, the
extrapolated three-dimensional coronal field also reveals that the magnetic
topology above the quadrupolar source region resembles that of the breakout
model. We propose a possible mechanism within the framework of the breakout
model to interpret the successive filament eruptions, in which the so-called
magnetic implosion mechanism is firstly introduced to be the physical linkage
of successive filament eruptions. We conclude that the structural properties of
coronal fields are important for producing successive filament eruptions.


title:
Increasing the magnetic sensitivity of liquid crystals by rod-like
  magnetic nanoparticles

abstract:
  Magnetic Fr\'eedericksz transition was studied in ferronematics based on the
nematic liquid crystal 4-(trans-4'-n-hexylcyclohexyl)-isothiocyanatobenzene
(6CHBT). 6CHBT was doped with rod-like magnetic particles of different size and
volume concentration. The volume concentrations of magnetic particles in the
prepared ferronematics were $\phi_1$ = 10$^{-4}$ and $\phi_2$ = 10$^{-3}$. The
structural changes were observed by capacitance measurements that demonstrate a
significant influence of the concentration, the shape anisotropy, and/or the
size of the magnetic particles on the magnetic response of these ferronematics.


title: Reluctance of a neutral nanoparticle to enter a charged pore

abstract:
  We consider the translocation of a neutral (uncharged) nanoparticle through a
pore in a thin membrane with constant surface charge density. If the
concomitant Debye screening layer is sufficiently thin, the resulting forces
experienced by the particle on its way through the pore are negligible. But
when the Debye length becomes comparable to the pore diameter, the particle
encounters a quite significant potential barrier while approaching and entering
the pore, and symmetrically upon exiting the pore. The main reason is an
increasing pressure which acts on the particle when it intrudes into the
counter ion cloud of the Debye screening layer. In case the polarizability of
the particle is different (usually smaller) than that of the ambient fluid, a
second, much smaller contribution to the potential barrier is due to
self-energy effects. Our numerical treatment of the problem is complemented by
analytical approximations for sufficiently long cylindrical particles and
pores, which agree very well with the numerics.


title:
Weighted composition operators between weak spaces of vector-valued
  analytic functions

abstract:
  We consider weighted composition operators on spaces of analytic functions on
the unit disc, which take values in some complex Banach space. We provide
necessary and sufficient conditions for the boundedness and (weak) compactness
of weighted composition operators on general function spaces, and in particular
on weak vector-valued spaces. As an application, we characterize the weak
compactness of these operators between two different vector-valued Bloch-type
spaces. This result appears to be new also in the scalar-valued case.


title:
D-meson nuclear modification factor and v$_2$ in Pb-Pb collisions at the
  LHC

abstract:
  We present the ALICE results on open heavy flavour, focusing on the exclusive
reconstruction of charmed mesons via displaced decay topologies. These
measurements benefit from the large Pb-Pb statistics collected in 2011. The
results on the nuclear modification factor Raa for D mesons indicate a
suppression of their yield in central collisions relative to binary-scaled pp
collisions in a large momentum range. The comparison to the Raa of non-prompt
J/psi (measured with CMS) indicates a difference in the suppression of charm
and beauty, as expected according to the predicted mass hierarchy in energy
loss models.
  The measurement of the azimuthal anisotropy of charmed mesons is also
discussed. The observed positive second Fourier harmonic v2 for transverse
momentum 2<pT<6 GeV/c in semi-peripheral events is a hint for collective motion
of charm quarks. The results discussed above are also compared to theoretical
models.


title: Ion-atom hybrid systems

abstract:
  The study of interactions between simultaneously trapped cold ions and atoms
has emerged as a new research direction in recent years. The development of
ion-atom hybrid experiments has paved the way for investigating elastic,
inelastic and reactive collisions between these species at very low
temperatures, for exploring new cooling mechanisms of ions by atoms and for
implementing new hybrid quantum systems. The present lecture reviews
experimental methods, recent results and upcoming developments in this emerging
field.


title: A Corollary of Hamada and Ohmori's on Group Law over BIBD

abstract:
  In this note, we present an interesting corollary of a theorem of Hamada and
Ohmori. We prove that the complementary of PG(n,2) is the only design, up to an
isomorphism, whose blocks form a group for the symmetric difference.


title:
Flexible covariate-adjusted exact tests of randomized treatment effects
  with application to a trial of HIV education

abstract:
  The primary goal of randomized trials is to compare the effects of different
interventions on some outcome of interest. In addition to the treatment
assignment and outcome, data on baseline covariates, such as demographic
characteristics or biomarker measurements, are typically collected.
Incorporating such auxiliary covariates in the analysis of randomized trials
can increase power, but questions remain about how to preserve type I error
when incorporating such covariates in a flexible way, particularly when the
number of randomized units is small. Using the Young Citizens study, a
cluster-randomized trial of an educational intervention to promote HIV
awareness, we compare several methods to evaluate intervention effects when
baseline covariates are incorporated adaptively. To ascertain the validity of
the methods shown in small samples, extensive simulation studies were
conducted. We demonstrate that randomization inference preserves type I error
under model selection while tests based on asymptotic theory may yield invalid
results. We also demonstrate that covariate adjustment generally increases
power, except at extremely small sample sizes using liberal selection
procedures. Although shown within the context of HIV prevention research, our
conclusions have important implications for maximizing efficiency and
robustness in randomized trials with small samples across disciplines.


title: Extending Item Response Theory to Online Homework

abstract:
  Item Response Theory becomes an increasingly important tool when analyzing
``Big Data'' gathered from online educational venues. However, the mechanism
was originally developed in traditional exam settings, and several of its
assumptions are infringed upon when deployed in the online realm. For a large
enrollment physics course for scientists and engineers, the study compares
outcomes from IRT analyses of exam and homework data, and then proceeds to
investigate the effects of each confounding factor introduced in the online
realm. It is found that IRT yields the correct trends for learner ability and
meaningful item parameters, yet overall agreement with exam data is moderate.
It is also found that learner ability and item discrimination is over wide
ranges robust with respect to model assumptions and introduced noise, less so
than item difficulty.


title: Bessel and Struve Related Integrals

abstract:
  Analytic expressions for integrals which arise in a theory of atomic
structure due to Schwinger and Englert are evaluated in terms of Bessel and
Struve functions


title:
Spatiotemporal Oscillation Patterns in the Collective Relaxation
  Dynamics of Interacting Particles in Periodic Potentials

abstract:
  We demonstrate the emergence of self-organized structures in the course of
the relaxation of an initially excited, dissipative and finite chain of
interacting particles in a periodic potential towards its many particle
equilibrium configuration. Specifically we observe a transition from an in
phase correlated motion via phase randomized oscillations towards oscillations
with a phase difference $\pi$ between adjacent particles thereby yielding the
growth of long time transient spatiotemporal oscillation patterns. Parameter
modifications allow for designing these patterns, including steady states and
even states that combine in phase and correlated out of phase oscillations
along the chain. The complex relaxation dynamics is based on finite size
effects together with an evolution running from the nonlinear to the linear
regime thereby providing a highly unbalanced population of the center of mass
and relative motion.


title: On the Momentum Dependence of the Flavor Structure of the Nucleon Sea

abstract:
  Difference between the $\bar u$ and $\bar d$ sea quark distributions in the
proton was first observed in the violation of the Gottfried sum rule in
deep-inelastic scattering (DIS) experiments. The parton momentum fraction $x$
dependence of this difference has been measured over the region $0.02 < x <
0.35$ from Drell-Yan and semi-inclusive DIS experiments. The Drell-Yan data
suggested a possible sign-change for $\bar d(x)-\bar u(x)$ near $x \sim 0.3$,
which has not yet been explained by existing theoretical models. We present an
independent evidence for the $\bar d(x)-\bar u(x)$ sign-change at $x \sim 0.3$
from an analysis of the DIS data. We further discuss the $x$-dependence of
$\bar d(x)-\bar u(x)$ in the context of meson cloud model and the lattice QCD
formulation.


title:
Bayesian data augmentation dose finding with continual reassessment
  method and delayed toxicity

abstract:
  A major practical impediment when implementing adaptive dose-finding designs
is that the toxicity outcome used by the decision rules may not be observed
shortly after the initiation of the treatment. To address this issue, we
propose the data augmentation continual reassessment method (DA-CRM) for dose
finding. By naturally treating the unobserved toxicities as missing data, we
show that such missing data are nonignorable in the sense that the missingness
depends on the unobserved outcomes. The Bayesian data augmentation approach is
used to sample both the missing data and model parameters from their posterior
full conditional distributions. We evaluate the performance of the DA-CRM
through extensive simulation studies and also compare it with other existing
methods. The results show that the proposed design satisfactorily resolves the
issues related to late-onset toxicities and possesses desirable operating
characteristics: treating patients more safely and also selecting the maximum
tolerated dose with a higher probability. The new DA-CRM is illustrated with
two phase I cancer clinical trials.


title:
Signatures of spin-orbit coupling in scanning gate conductance images of
  electron flow from quantum point contacts

abstract:
  Electron flow through a quantum point contact in presence of spin-orbit
coupling is investigated theoretically in the context of the scanning gate
microscopy (SGM) conductance mapping. Although in the absence of the floating
gate the spin-orbit coupling does not significantly alter the conductance, we
find that the angular dependence of the SGM images of the electron flow at the
conductance plateaux is substantially altered as the spin-orbit interaction
mixes the orbital modes that enter the quantum point contact. The radial
interference fringes that are obtained in the SGM maps at conductance steps are
essentially preserved by the spin-orbit interaction as backscattering by the
tip preserves the electron spin although the effects of the mode mixing are
visible.


title: A Lagrangian for Hamiltonian vector fields on singular Poisson manifolds

abstract:
  On a manifold equipped with a bivector field, we introduce for every
Hamiltonian a Lagrangian on paths valued in the cotangent space whose
stationary points projects onto Hamiltonian vector fields. We show that the
remaining components of those stationary points tell whether the bivector field
is Poisson or at least defines an integrable distribution - a class of bivector
fields generalizing twisted Poisson structures that we study in detail.


title: A contraction principle in semimetric spaces

abstract:
  A branch of generalizations of the Banach Fixed Point Theorem replaces
contractivity by a weaker but still effective property. The aim of the present
note is to extend the contraction principle in this spirit for such complete
semimetric spaces that fulfill an extra regularity property. The stability of
fixed points is also investigated in this setting. As applications, fixed point
results are presented for several important generalizations of metric spaces.


title: Expected values of eigenfunction periods

abstract:
  Let $(M,g)$ be a compact Riemannian surface. Consider a family of $L^2$
normalized Laplace-Beltrami eigenfunctions, written in the semiclassical form
$-h_j^2\Delta_g \phi_{h_j} = \phi_{h_j}$, whose eigenvalues satisfy $h h_j^{-1}
\in (1, 1 + hD]$ for $D>0$ a large enough constant. Let $\mathbf{P}_h$ be a
uniform probability measure on the $L^2$ unit-sphere $S_h$ of this cluster of
eigenfunctions and take $u \in S_h$. Given a closed curve $\gamma \subset M$,
there exists $C_{1}(\gamma, M), C_{2}(\gamma, M) > 0$ and $h_0>0$ such that for
all $h \in (0, h_0],$ \begin{equation*}
  C_1 h^{1/2} \leq \mathbf{E}_{h} \bigg[ \big| \int_{\gamma} u \, d \sigma
\big| \bigg] \leq C_2 h^{1/2} . \end{equation*} This result contrasts the
deterministic $\mathcal{O}(1)$ upperbounds obtained by Chen-Sogge \cite{CS},
Reznikov \cite{Rez}, and Zelditch \cite{Zel}. Furthermore, we treat the higher
dimensional cases and compute large deviation estimates. Under a measure zero
assumption on the periodic geodesics in $S^*M$, we can consider windows of
small width $D=1$ and establish a $\mathcal{O}(h^{1/2})$ estimate. Lastly, we
treat probabilistic $L^q$ restriction bounds along curves.


title:
Energy-Efficient Communication over the Unsynchronized Gaussian Diamond
  Network

abstract:
  Communication networks are often designed and analyzed assuming tight
synchronization among nodes. However, in applications that require
communication in the energy-efficient regime of low signal-to-noise ratios,
establishing tight synchronization among nodes in the network can result in a
significant energy overhead. Motivated by a recent result showing that
near-optimal energy efficiency can be achieved over the AWGN channel without
requiring tight synchronization, we consider the question of whether the
potential gains of cooperative communication can be achieved in the absence of
synchronization. We focus on the symmetric Gaussian diamond network and
establish that cooperative-communication gains are indeed feasible even with
unsynchronized nodes. More precisely, we show that the capacity per unit energy
of the unsynchronized symmetric Gaussian diamond network is within a constant
factor of the capacity per unit energy of the corresponding synchronized
network. To this end, we propose a distributed relaying scheme that does not
require tight synchronization but nevertheless achieves most of the energy
gains of coherent combining.


title:
Objectivity in the Photonic Environment Through State Information
  Broadcasting

abstract:
  Recently, the emergence of classical objectivity as a property of a quantum
state has been explicitly derived for a small object embedded in a photonic
environment in terms of a spectrum broadcast form---a specific classically
correlated state, redundantly encoding information about the preferred states
of the object in the environment. However, the environment was in a pure state
and the fundamental problem was how generic and robust is the conclusion. Here
we prove that despite of the initial environmental noise the emergence of the
broadcast structure still holds, leading to the perceived objectivity of the
state of the object. We also show how this leads to a quantum Darwinism-type
condition, reflecting classicality of proliferated information in terms of a
limit behavior of the mutual information. Quite surprisingly, we find
,,singular points'' of the decoherence, which can be used to faithfully
broadcast a specific classical message through the noisy environment.


title:
Theory for Quartet Condensation in Fermi Systems with Applications to
  Nuclei and Nuclear Matter

abstract:
  The theory of quartet condensation is further developed. The onset of
quartetting in homgeneous fermionic matter is studied with the help of an
in-medium modified four fermion equation. It is found that at very low density
quartetting wins over pairing. At zero temperature, in analogy to pairing, a
set of equations for the quartet order parameter is given. Contrary to pairing,
quartetting only exists for strong coupling and breaks down for weak coupling.
Reasons for this finding are detailed. In an application to nuclear matter, the
critical temperature for alpha particle condensation can reach values up to
around 8 MeV. The disappearance of alpha particles with increasing density,
i.e. the Mott transition, is investigated. In finite nuclei the Hoyle state,
that is the second 0+ state of 12C is identified as an 'alpha-particle
condensate' state. It is conjectured that such states also exist in heavier
n-alpha nuclei, like 16O, 20Ne, etc. The sixth 0+ state in 16O is proposed as
an analogue to the Hoyle state. The Gross-Pitaevski equation is employed to
make an estimate of the maximum number of alpha particles a condensate state
can contain. Possible quartet condensation in other systems is discussed
briefly.


title:
Exploiting Capture Effect in Frameless ALOHA for Massive Wireless Random
  Access

abstract:
  The analogies between successive interference cancellation (SIC) in slotted
ALOHA framework and iterative belief-propagation erasure-decoding, established
recently, enabled the application of the erasure-coding theory and tools to
design random access schemes. This approach leads to throughput substantially
higher than the one offered by the traditional slotted ALOHA. In the simplest
setting, SIC progresses when a successful decoding occurs for a single user
transmission. In this paper we consider a more general setting of a channel
with capture and explore how such physical model affects the design of the
coded random access protocol. Specifically, we assess the impact of capture
effect in Rayleigh fading scenario on the design of SIC-enabled slotted ALOHA
schemes. We provide analytical treatment of frameless ALOHA, which is a special
case of SIC-enabled ALOHA scheme. We demonstrate both through analytical and
simulation results that the capture effect can be very beneficial in terms of
achieved throughput.


title:
The Equivariant Tamagawa Number Conjecture for modular motives with
  coefficients in the Hecke algebra

abstract:
  We propose a formulation of the Equivariant Tamagawa Number Conjecture for
modular motives with coefficients in universal deformation rings and Hecke
algebras; something which seems to have been heretofore missing because the
complexes of Galois cohomology required were not known to be perfect. We show
that the fundamental line of this conjecture satisfies the expected
compatibility property at geometric points (more precisely at the points
satisfying the Weight-Monodromy conjecture) and is compatible with
level-lowering and level-raising. Combining these properties with the methods
of Euler and Taylor-Wiles systems, we prove a significant part of the ETNC with
coefficients in Hecke algebras for motives attached to modular forms and the
full conjecture when the main conjecture of Iwasawa theory for modular forms is
known to be true.


title:
Rotation misorientated graphene moire superlattices on Cu(111):
  classical molecular dynamics simulations and scanning tunneling microscopy
  studies

abstract:
  Graphene on copper is a system of high technological relevance, as Cu is one
of the most widely used substrates for the CVD growth of graphene. However,
very little is known about the details of their interaction. One approach to
gain such information is studying the superlattices emerging due to the
mismatch of the two crystal lattices. However, graphene on copper is a
low-corrugated system making both their experimental and theoretical study
highly challenging. Here, we report the observation of a new rotational Moire
superlattice of CVD graphene on Cu (111), characterized by a periodicity of
$1.5 \pm 0.05$ nm and corrugation of $0.15 \pm 0.05$ $\hbox{\AA}$ , as measured
by Scanning Tunneling Microscopy. To understand the observed superlattice we
have developed a newly parameterized Tersoff-potential for the graphene/Cu
(111) interface fitted to nonlocal van der Waals density functional theory
(DFT) calculations. The interfacial force field with time-lapsed CMD provides
superlattices in good quantitative agreement with the experimental results, for
a misorientation angle of $10.4 \pm 0.5,^{\circ}$ without any further parameter
adjustment. Furthermore, the CMD simulations predict the existence of two
non-equivalent high-symmetry directions of the Moir\'e pattern that could also
be identified in the experimental STM images.


title: A note on $p$-adic valuations of the Schenker sums

abstract:
  A prime number $p$ is called a Schenker prime if there exists such
$n\in\mathbb{N}_+$ that $p\nmid n$ and $p\mid a_n$, where $a_n =
\sum_{j=0}^{n}\frac{n!}{j!}n^j$ is so-called Schenker sum. T. Amdeberhan, D.
Callan and V. Moll formulated two conjectures concerning $p$-adic valuations of
$a_n$ in case when $p$ is a Schenker prime. In particular, they asked whether
for each $k\in\mathbb{N}_+$ there exists the unique positive integer $n_k<p^k$
such that $v_p(a_{m\cdot 5^k + n_k})\geq k$ for each nonnegative integer $m$.
We prove that for every $k\in\mathbb{N}_+$ the inequality $v_5(a_n)\geq k$ has
exactly one solution modulo $5^k$. This confirms the first conjecture stated by
the mentioned authors. Moreover, we show that if $37\nmid n$ then
$v_{37}(a_n)\leq 1$, what means that the second conjecture stated by the
mentioned authors is not true.


title:
Design of laser-coupled honeycomb optical lattices supporting Chern
  insulators

abstract:
  We introduce an explicit scheme to realize Chern insulating phases employing
cold atoms trapped in a state-dependent optical lattice and laser-induced
tunneling processes. The scheme uses two internal states, a ground state and a
long-lived excited state, respectively trapped in separate triangular and
honeycomb optical lattices. A resonant laser coherently coupling the two
internal states enables hopping between the two sublattices with a Peierls-like
phase factor. Although laser-induced hopping by itself does not lead to
topological bands with non-zero Chern numbers, we find that such bands emerge
when adding an auxiliary lattice that perturbs the lattice structure,
effectively turning it at low energies into a realization of the Haldane model:
A two-dimensional honeycomb lattice breaking time-reversal symmetry. We
investigate the parameters of the resulting tight-binding model using
first-principles band structure calculations to estimate the relevant regimes
for experimental implementation.


title: The Fly's Eye project: sidereal tracking on a hexapod mount

abstract:
  The driving objective of the Fly's Eye Project is a high resolution, high
coverage time-domain survey in multiple optical passbands: our goal is to cover
the entire visible sky above the 30 deg horizontal altitude with a cadence of 3
min. Imaging is intended to perform with 19 wide-field cameras mounted on a
hexapod platform. The essence of the hexapod allows us to build an instrument
that does not require any kind of precise alignment and, in addition, the
similar mechanics can be involved independently from the geographical location
of the device. Here we summarize our early results with a single camera,
focusing on the sidereal tracking as it is performed with the hexapod built by
our group.


title:
The radiation problem from a vertical short dipole antenna above flat
  and lossy ground. Novel formulation in the spectral domain with closed form
  analytical solution in the high frequency regime

abstract:
  In this paper we consider the problem of radiation from a vertical short
Hertzian dipole above flat lossy ground, which represents the well known in the
literature Sommerfeld radiation problem. The problem is formulated in a novel
spectral domain approach, and by inverse three dimensional Fourier
transformation the expressions for the received electric and magnetic field in
the physical space are derived as one dimensional integrals over the radial
component of wavevector, in cylindrical coordinates. Subsequent use of the
Stationary Phase Method in the high frequency regime yields closed form
analytical solutions for the received EM field vectors, which coincide with the
corresponding reflected EM field originating from the image point. In this way,
we conclude that the so called in the literature space wave, i.e. line of sight
plus reflected EM field, represents the total solution of the Sommerfeld
problem in the high frequency regime, in which case the surface wave can be
ignored. Finally, numerical results in the high frequency regime are presented
in this paper, in comparison with corresponding numerical results based on
Norton solution of the problem, i.e. space and surface waves.