title:
Measurement of the high-energy gamma-ray emission from the Moon with the
  Fermi Large Area Telescope

abstract:
  We have measured the gamma-ray emission spectrum of the Moon using the data
collected by the Large Area Telescope onboard the Fermi satellite during its
first 7 years of operation, in the energy range from 30 MeV up to a few GeV. We
have also studied the time evolution of the flux, finding a correlation with
the solar activity. We have developed a full Monte Carlo simulation describing
the interactions of cosmic rays with the lunar surface. The results of the
present analysis can be explained in the framework of this model, where the
production of gamma rays is due to the interactions of cosmic-ray proton and
helium nuclei with the surface of the Moon. Finally, we have used our
simulation to derive the cosmic-ray proton and helium spectra near Earth from
the Moon gamma-ray data.


title: Helicity within the vortex filament model

abstract:
  Kinetic helicity is one of the invariants of the Euler equations that is
associated with the topology of vortex lines within the fluid. In superfluids,
the vorticity is concentrated along vortex filaments. In this setting, helicity
would be expected to acquire its simplest form. However, the lack of a core
structure for vortex filaments appears to result in a helicity that does not
retain its key attribute as a quadratic invariant. By defining a spanwise
vector to the vortex through the use of a Seifert framing, we are able to
introduce twist and henceforth recover the key properties of helicity. We
present several examples for calculating internal twist to illustrate why the
centreline helicity alone will lead to ambiguous results if a twist
contribution is not introduced. Our choice of the spanwise vector can be
expressed in terms of the tangential component of velocity along the filament.
Since the tangential velocity does not alter the configuration of the vortex at
later times, we are able to recover a similar equation for the internal twist
angle for classical vortex tubes. Our results allow us to explain how a
quasi-classical limit of helicity emerges from helicity considerations for
individual superfluid vortex filaments.


title: Orientation-boosted Voxel Nets for 3D Object Recognition

abstract:
  Recent work has shown good recognition results in 3D object recognition using
3D convolutional networks. In this paper, we show that the object orientation
plays an important role in 3D recognition. More specifically, we argue that
objects induce different features in the network under rotation. Thus, we
approach the category-level classification task as a multi-task problem, in
which the network is trained to predict the pose of the object in addition to
the class label as a parallel task. We show that this yields significant
improvements in the classification results. We test our suggested architecture
on several datasets representing various 3D data sources: LiDAR data, CAD
models, and RGB-D images. We report state-of-the-art results on classification
as well as significant improvements in precision and speed over the baseline on
3D detection.


title:
Diffusion in Pulsar Wind Nebulae: An Investigation using
  Magnetohydrodynamic and Particle Transport Models

abstract:
  We study the transport of high-energy particles in pulsar wind nebulae (PWN)
using three-dimensional MHD (see Porth et al. (2014) for details) and
test-particle simulations, as well as a Fokker-Planck particle transport model.
The latter includes radiative and adiabatic losses, diffusion, and advection on
the background flow of the simulated MHD nebula. By combining the models, the
spatial evolution of flux and photon index of the X-ray synchrotron emission is
modelled for the three nebulae G21.5-0.9, the inner regions of Vela, and 3C 58,
thereby allowing us to derive governing parameters: the magnetic field
strength, average flow velocity and spatial diffusion coefficient. For
comparison, the nebulae are also modelled with the semi-analytic Kennel &
Coroniti (1984) model but the Porth et al. (2014) model generally yields better
fits to the observational data. We find that high velocity fluctuations in the
turbulent nebula (downstream of the termination shock) give rise to efficient
diffusive transport of particles, with average P\'eclet number close to unity,
indicating that both advection and diffusion play an important role in particle
transport. We find that the diffusive transport coefficient of the order of
$\sim2\times 10^{27} (L_{\rm s}/0.42\rm Ly) cm^{2}s^{-1}$ ($L_{\rm s}$ is the
size of the termination shock) is independent of energy up to extreme particle
Lorentz factors of $\gamma_{p}\sim10^{10}$.


title:
The charge transport mechanism and electron trap nature in thermal oxide
  on silicon

abstract:
  The charge transport mechanism of electron via traps in amorphous SiO$_2$ has
been studied. Electron transport is limited by phonon-assisted tunneling
between traps. Thermal and optical trap energies $W_\mathrm{t}=1.6$ eV,
$W_\mathrm{opt}=3.2$ eV, respectively, were determined. Charge flowing leads to
oxygen vacancies generation, and the leakage current increases due to the
increase of charge trap density. Long-time annealing at high temperatures
decreased the leakage current to initial values due to oxygen vacancies
recombination with interstitial oxygen. It is found that the oxygen vacancies
act as electron traps in SiO$_2$.


title: On periodic representations in non-Pisot bases

abstract:
  We study periodic expansions in positional number systems with a base
$\beta\in\C,\ |\beta|>1$, and with coefficients in a finite set of digits
$\A\subset\C.$ We are interested in determining those algebraic bases for which
there exists $\A\subset \Q(\beta),$ such that all elements of $\Q(\beta)$ admit
at least one eventually periodic representation with digits in $\A$. In this
paper we prove a general result that guarantees the existence of such an $\A$.
This result implies the existence of such an $\A$ when $\beta$ is a rational
number or an algebraic integer with no conjugates of modulus $1$.
  We also consider eventually periodic representations of elements of
$\Q(\beta)$ for which the maximal power of the representation is proportional
to the absolute value of the represented number, up to some universal constant.
We prove that if every element of $\Q(\beta)$ admits such a representation then
$\beta$ must be a Pisot number or a Salem number. This result generalises a
well known result of Schmidt \cite{Schmidt}.


title:
Subsubleading soft theorems of gravitons and dilatons in the bosonic
  string

abstract:
  Starting from the amplitude with an arbitrary number of massless closed
states of the bosonic string, we compute the soft limit when one of the states
becomes soft to subsubleading order in the soft momentum expansion, and we show
that when the soft state is a graviton or a dilaton, the full string amplitude
can be expressed as a soft theorem through subsubleading order. It turns out
that there are string corrections to the field theoretical limit in the case of
a soft graviton, while for a soft dilaton the string corrections vanish. We
then show that the new soft theorems, including the string corrections, can be
simply obtained from the exchange diagrams where the soft state is attached to
the other external states through the three-point string vertex of three
massless states. In the soft-limit, the propagator of the exchanged state is
divergent, and at tree-level these are the only divergent contributions to the
full amplitude. However, they do not form a gauge invariant subset and must be
supplemented with extra non-singular terms. The requirement of gauge invariance
then fixes the complete amplitude through subsubleading order in the soft
expansion, reproducing exactly what one gets from the explicit calculation in
string theory. From this it is seen that the string corrections at
subsubleading order arise as a consequence of the three-point amplitude having
string corrections in the bosonic string. When specialized to a soft dilaton,
it remarkably turns out that the string corrections vanish and that the
non-singular piece of the subsubleading term of the dilaton soft theorem is the
generator of space-time special conformal transformation.


title:
Vertex Coloring with Communication and Local Memory Constraints in
  Synchronous Broadcast Networks

abstract:
  The vertex coloring problem has received a lot of attention in the context of
synchronous round-based systems where, at each round, a process can send a
message to all its neighbors, and receive a message from each of them. Hence,
this communication model is particularly suited to point-to-point communication
channels. Several vertex coloring algorithms suited to these systems have been
proposed. They differ mainly in the number of rounds they require and the
number of colors they use. This paper considers a broadcast/receive
communication model in which message collisions and message conflicts can occur
(a collision occurs when, during the same round, messages are sent to the same
process by too many neighbors; a conflict occurs when a process and one of its
neighbors broadcast during the same round). This communication model is suited
to systems where processes share communication bandwidths. More precisely,the
paper considers the case where, during a round, a process may either broadcast
a message to its neighbors or receive a message from at most $m$ of them. This
captures communication-related constraints or a local memory constraint stating
that, whatever the number of neighbors of a process, its local memory allows it
to receive and store at most $m$ messages during each round. The paper defines
first the corresponding generic vertex multi-coloring problem (a vertex can
have several colors). It focuses then on tree networks, for which it presents a
lower bound on the number of colors $K$ that are necessary (namely,
$K=\lceil\frac{\Delta}{m}\rceil+1$, where $\Delta$ is the maximal degree of the
communication graph), and an ssociated coloring algorithm, which is optimal
with respect to $K$.


title: Improving sentence compression by learning to predict gaze

abstract:
  We show how eye-tracking corpora can be used to improve sentence compression
models, presenting a novel multi-task learning algorithm based on multi-layer
LSTMs. We obtain performance competitive with or better than state-of-the-art
approaches.


title:
New Hermite-Hadamard Type Inequalities for Twice Differentiable
  Composite $(h-s)_2$-Convex Functions

abstract:
  In a recent paper [9], Ozdemir, Tunc and Akdemir defined two new classes of
convex functions with which they proved some Hermite-Hadamard type
inequalities. As an Open problem, they asked for conditions under which the
composition of two functions belong to their newly defined class of convex
functions and if Hermite-Hadamard type inequalities can be obtained. In this
paper, we respond to the Open problems and prove some new Hermite-Hadamard
inequalities for twice differentiable composition whose second derivative is
$((h-s)_{2}, I)$-convex. Our results are applied to some special means of real
numbers.


title:
Performance Evaluation of LOS MIMO Systems under the Influence of Phase
  Noise

abstract:
  To deal with the ever increasing data rate demand in wireless systems,
suitable backhaul solutions have to be found. One option is to use LOS MIMO
systems at mmWave frequencies, as high bandwidths and spectral efficiencies
will be able to fulfill this requirement. Several investigations have shown,
that phase noise can decimate the efficiency of such systems immensely and
needs to be adequately dealt with. In this work we investigate the system level
performance of LOS MIMO systems subject to this impairment and examine the
influence for various practical phase noise values. Furthermore, it is shown
how a simple phase noise compensation algorithm can be used to enhance the
performance of these systems in different scenarios.


title: Relativistic hydrodynamics on graphics processing units

abstract:
  Hydrodynamics calculations have been successfully used in studies of the bulk
properties of the Quark-Gluon Plasma, particularly of elliptic flow and shear
viscosity. However, there are areas (for instance event-by-event simulations
for flow fluctuations and higher-order flow harmonics studies) where further
advancement is hampered by lack of efficient and precise 3+1D~program. This
problem can be solved by using Graphics Processing Unit (GPU) computing, which
offers unprecedented increase of the computing power compared to standard CPU
simulations. In this work, we present an implementation of 3+1D ideal
hydrodynamics simulations on the Graphics Processing Unit using Nvidia CUDA
framework. MUSTA-FORCE (MUlti STAge, First ORder CEntral, with a~slope limiter
and MUSCL reconstruction) and WENO (Weighted Essentially Non-Oscillating)
schemes are employed in the simulations, delivering second (MUSTA-FORCE), fifth
and seventh (WENO) order of accuracy. Third order Runge-Kutta scheme was used
for integration in the time domain. Our implementation improves the performance
by about 2~orders of magnitude compared to a~single threaded program. The
algorithm tests of 1+1D~shock tube and 3+1D~simulations with ellipsoidal and
Hubble-like expansion are presented.


title:
Influence of the FFLO-like State on the Upper Critical Field of a S/F
  Bilayer: Angular and Temperature Dependence

abstract:
  We investigated the upper critical magnetic field, $H_{c}$, of a
superconductor-ferromagnet (S/F) bilayer of Nb/Cu$_{41}$Ni$_{59}$ and a Nb film
(as reference). We obtained the dependence of $H_{c\perp}$ and $H_{c\parallel}$
(perpendicular and parallel to the film plane, respectively) on the
temperature, $T$, by measurements of the resistive transitions and the
dependence on the inclination angle, $\theta$, of the applied field to the film
plane, by non-resonant microwave absorption. Over a wide range, $H_{c\perp}$
and $H_{c\parallel}$ show the temperature dependence predicted by the
Ginzburg-Landau theory. At low temperatures and close to the critical
temperature deviations are observed. While $H_{c}(\theta)$ of the Nb film
follows the Tinkham prediction for thin superconducting films, the
Nb/Cu$_{41}$Ni$_{59}$-bilayer data exhibit deviations when $\theta$ approaches
zero. We attribute this finding to the additional anisotropy induced by the
quasi-one-dimensional Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)-like state and
propose a new vortex structure in S/F bilayers, adopting the segmentation
approach from high-temperature superconductors.


title:
Straight Skeletons with Additive and Multiplicative Weights and Their
  Application to the Algorithmic Generation of Roofs and Terrains

abstract:
  We introduce additively-weighted straight skeletons as a new generalization
of straight skeletons. An additively-weighted straight skeleton is the result
of a wavefront-propagation process where, unlike in previous variants of
straight skeletons, wavefront edges do not necessarily start to move at the
begin of the propagation process but at later points in time. We analyze the
properties of additively-weighted straight skeletons and show how to compute
straight skeletons with both additive and multiplicative weights.
  We then show how to use additively-weighted and multiplicatively-weighted
straight skeletons to generate roofs and terrains for polygonal shapes such as
the footprints of buildings or river networks. As a result, we get an automated
generation of roofs and terrains where the individual facets have different
inclinations and may start at different heights.


title:
Multi-horizon and Critical Behavior in Gravitational Collapse of
  Massless Scalar

abstract:
  This paper studies the whole process of gravitational collapse and accretion
of a massless scalar field in asymptotically flat spacetime. Two kinds of
initial configurations are considered. One is the initial data without black
hole, the other contains a black hole. Under suitable initial conditions, we
find that multi-horizon will appear, which means that the initial black hole
formed by gravitational collapse or existing at the beginning will instantly
expand and suddenly grow, rather than grows gradually in the accretion process.
A new type of critical behavior is found around the instant expansion. The
numerical computation shows that the critical exponents are universal.


title:
Elastic-net regularization versus $\ell^1$-regularization for linear
  inverse problems with quasi-sparse solutions

abstract:
  We consider the ill-posed operator equation $Ax=y$ with an injective and
bounded linear operator $A$ mapping between $\ell^2$ and a Hilbert space $Y$,
possessing the unique solution \linebreak $x^\dag=\{x^\dag_k\}_{k=1}^\infty$.
For the cases that sparsity $x^\dag \in \ell^0$ is expected but often slightly
violated in practice, we investigate in comparison with the
$\ell^1$-regularization the elastic-net regularization, where the penalty is a
weighted superposition of the $\ell^1$-norm and the $\ell^2$-norm square, under
the assumption that $x^\dag \in \ell^1$. There occur two positive parameters in
this approach, the weight parameter $\eta$ and the regularization parameter as
the multiplier of the whole penalty in the Tikhonov functional, whereas only
one regularization parameter arises in $\ell^1$-regularization. Based on the
variational inequality approach for the description of the solution smoothness
with respect to the forward operator $A$ and exploiting the method of
approximate source conditions, we present some results to estimate the rate of
convergence for the elastic-net regularization. The occurring rate function
contains the rate of the decay $x^\dag_k \to 0$ for $k \to \infty$ and the
classical smoothness properties of $x^\dag$ as an element in $\ell^2$.


title:
Modulus of continuity of averages of SRB measures for a transversal
  family of piecewise expanding unimodal maps

abstract:
  Let $f_t:[0,1] \to [0,1]$ be a family of piecewise expanding unimodal maps
with a common critical point that is dense for almost all $t \in [a,b]$. If
$\mu_t$ is the corresponding SRB measure for $f_t$, we study the regularity of
$\Gamma(t)=\int \phi d\mu_t$ when assuming that the family is transversal to
the topological classes of these maps, more precisely, we prove that if
$J_t(c)=\sum_{k=0}^{\infty} \frac{v_t(f_t^k(c))}{Df_t^k(f_t(c))} \neq 0$ for
all $t$, where $v_t(x)=\partial_s f_s(x)|_{s=t}$, then $\Gamma(t)$ is not
Lipschitz for almost all $t\in [a,b]$. Furthermore, we give the exact modulus
of continuity of $\Gamma(t)$.


title: Some fundamentals of adhesion in synthetic adhesives

abstract:
  Various adhesion mechanisms that have been understood in the field of
synthetic adhesives are described and these are linked with situations relevant
to fouling issues. The review mainly deals with mechanical aspects of adhesion
phenomena, with an emphasis on the role of the elasticity of the bodies, called
substrata, attached by adhesive. The consequences of thin film geometry of the
adhesive material are described, such as various heterogeneous deformations
upon traction. The importance of the bonding process is discussed, as well as
some examples of non-wetting surfaces. As seen from a distance, the adhesive
layer is merely one interface; Some basic ideas of fracture mechanics are
provided and in particular, the behavior of layered systems is discussed.
Rolling sticky objects and peeled (flexible) adhesive tapes display similar
mechanisms and it is shown how they differ from the normal separation of rigid
bodies. Some issues directly related to fouling issues are also discussed, such
as forces and torques acting on shells, the advantages of gregarious settlement
behavior and concepts for fouling release and antifouling.


title: Smooth Families of Tori and Linear K\"ahler Groups

abstract:
  That short note, meant as an addendum to [CCE14], enhances the results
contained in loc. cit. In particular it is proven here that a linear K{\"a}hler
group is already the fundamental group of a smooth complex projective variety.
This is achieved by studying the relative deformation of the total space of a
smooth family of tori in an equivariant context.


title:
Transport and trapping of dust particles in a potential well created by
  inductively coupled diffused plasma

abstract:
  A versatile linear dusty (complex) plasma device is designed to study the
transport and dynamical behavior of dust particles in a large volume. Diffused
inductively coupled plasma is generated in the background of argon gas. A novel
technique is used to introduce the dust particles in the main plasma by
striking a secondary direct current (DC) glow discharge. These dust particles
are found to get trapped in an electrostatic potential well which is formed due
to the combination of the ambipolar electric field caused by diffusive plasma
and the field produced by the charged glass wall of the vacuum chamber.
According to the requirements, the volume of the dust cloud can be controlled
very precisely by tuning the plasma and discharge parameters. The present
device can be used to address the underlying physics behind the transport of
dust particles, self excited dust acoustic waves and instabilities. The
detailed design of this device, plasma production and characterization,
trapping and transport of the dust particle and some of the preliminary
experimental results are presented.


title:
Ionisation and discharge in cloud-forming atmospheres of brown dwarfs
  and extrasolar planets

abstract:
  Brown dwarfs and giant gas extrasolar planets have cold atmospheres with a
rich chemical compositions from which mineral cloud particles form. Their
properties, like particle sizes and material composition, vary with height, and
the mineral cloud particles are charged due to triboelectric processes in such
dynamic atmospheres. The dynamics of the atmospheric gas is driven by the
irradiating host star and/or by the rotation of the objects that changes during
its lifetime. Thermal gas ionisation in these ultra-cool but dense atmospheres
allows electrostatic interactions and magnetic coupling of a substantial
atmosphere volume. Combined with a strong magnetic field $\gg B_{\rm Earth}$, a
chromosphere and aurorae might form as suggested by radio and X-ray
observations of brown dwarfs. Non-equilibrium processes like cosmic ray
ionisation and discharge processes in clouds will increase the local pool of
free electrons in the gas. Cosmic rays and lighting discharges also alter the
composition of the local atmospheric gas such that tracer molecules might be
identified. Cosmic rays affect the atmosphere through air showers which was
modelled with a 3D Monte Carlo radiative transfer code to be able to visualise
their spacial extent. Given a certain degree of thermal ionisation of the
atmospheric gas, we suggest that electron attachment to charge mineral cloud
particles is too inefficient to cause an electrostatic disruption of the cloud
particles. Cloud particles will therefore not be destroyed by Coulomb explosion
for the local temperature in the collisional dominated brown dwarf and giant
gas planet atmospheres. However, the cloud particles are destroyed
electrostatically in regions with strong gas ionisation. The potential size of
such cloud holes would, however, be too small and might occur too far inside
the cloud to mimic the effect of, e.g., magnetic field induced star spots.

categories: astro-ph.EP astro-ph.HE astro-ph.SR physics.ao-ph physics.space-ph


title: Track 3: Computations in theoretical physics -- techniques and methods

abstract:
  Here, we attempt to summarize the activities of Track 3 of the 17th
International Workshop on Advanced Computing and Analysis Techniques in Physics
Research (ACAT 2016).


title:
Joint effect of polarization and the propagation path of a light beam on
  its intrinsic structure

abstract:
  The well-known effects of the spin-orbit interaction of light are
manifestations of pair mutual influence of the three types of the angular
momentum of light, namely, the spin angular momentum, the extrinsic orbital
angular momentum and the intrinsic orbital angular momentum. Here we propose
the convenient classification of the effects of the spin-orbit interaction of
light and we observe one of the new effects in the frame of this
classification, which is determined by the joint influence of two types of the
angular momentum on the third type of the angular momentum, namely, the
influence of the spin angular momentum and the extrinsic orbital angular
momentum on the intrinsic orbital angular momentum. We experimentally studied
the propagation of circularly polarized light through an optical fiber coiled
into a helix. We have found that the spin angular momentum and the helix
parameters affect the spatial structure of the radiation transmitted through
the optical fiber. We found out that the structure of the light field rotates
when changing the sign of circular polarization. The angle of rotation depends
on the parameters of the helix. The results can be used to develop the general
theory of spinning particles and can find application in metrology methods and
nanooptics devices.


title:
Subparsec-scale dynamics of a dusty gas disk exposed to anisotropic AGN
  radiation with frequency-dependent radiative transfer

abstract:
  We explore the gas dynamics near the dust sublimation radius of active
galactic nucleus (AGN). For the purpose, we perform axisymmetric radiation
hydrodynamic simulations of a dusty gas disk of radius $\approx 1\,\mathrm{pc}$
around a supermassive black hole of mass $10^{7}\,\mathrm{M_{\odot}}$ taking
into account (1) anisotropic radiation of accretion disk, (2) X-ray heating by
corona, (3) radiative transfer of infrared (IR) photons reemitted by dust, (4)
frequency dependency of direct and IR radiations, and (5) separate temperatures
for gas and dust. As a result, we find that for Eddington ratio $\approx 0.77$,
a nearly neutral, dense ($\approx 10^{6\operatorname{-}8}\;\mathrm{cm^{-3}}$),
geometrically-thin ($h/r<0.06$) disk forms with a high velocity ($\approx 200
\sim 3000\;\mathrm{km/s}$) dusty outflow launched from the disk surface. The
disk temperature is determined by the balance between X-ray heating and various
cooling, and the disk is almost supported by thermal pressure. Contrary to
\citet{krolik07:_agn}, the radiation pressure by IR photons is not effective to
thicken the disk, but rather compresses it. Thus, it seems difficult for a
radiation-supported, geometrically-thick, obscuring torus to form near the dust
sublimation radius as far as the Eddington ratio is high ($\sim 1$). The mass
outflow rate is $0.05$-$0.1\;\mathrm{M_{\odot}}/\mathrm{yr}$ and the column
density of the outflow is $N_{\mathrm{H}}\lesssim 10^{21}\;\mathrm{cm^{-2}}$.
To explain observed type-II AGN fraction, it is required that outflow gas is
extended to larger radii ($r\gtrsim 10\;\mathrm{pc}$) or that a denser dusty
wind is launched from smaller radii ($r\sim 10^{4}\;R_{g}$).


title: A Convex Surrogate Operator for General Non-Modular Loss Functions

abstract:
  Empirical risk minimization frequently employs convex surrogates to
underlying discrete loss functions in order to achieve computational
tractability during optimization. However, classical convex surrogates can only
tightly bound modular loss functions, sub-modular functions or supermodular
functions separately while maintaining polynomial time computation. In this
work, a novel generic convex surrogate for general non-modular loss functions
is introduced, which provides for the first time a tractable solution for loss
functions that are neither super-modular nor submodular. This convex surro-gate
is based on a submodular-supermodular decomposition for which the existence and
uniqueness is proven in this paper. It takes the sum of two convex surrogates
that separately bound the supermodular component and the submodular component
using slack-rescaling and the Lov{\'a}sz hinge, respectively. It is further
proven that this surrogate is convex , piecewise linear, an extension of the
loss function, and for which subgradient computation is polynomial time.
Empirical results are reported on a non-submodular loss based on the
S{{\o}}rensen-Dice difference function, and a real-world face track dataset
with tens of thousands of frames, demonstrating the improved performance,
efficiency, and scalabil-ity of the novel convex surrogate.


title: Bimodal momentum distribution of laser-cooled atoms in optical lattices

abstract:
  We study, numerically and experimentally, the momentum distribution of atoms
cooled in optical lattices. Using semi-classical simulations, we show that this
distribution is bimodal, made up of a central feature corresponding to "cold",
trapped atoms, with tails of "hot", untrapped atoms, and that this holds true
also for very shallow potentials. Careful analysis of the distribution of
high-momentum untrapped atoms, both from simulations and experiments, shows
that the tails of the distribution does not follow a normal law, hinting at a
power-law distribution and non-ergodic behavior. We also revisit the phenomenon
of d\'ecrochage, the potential depth below which the temperature of the atoms
starts increasing.


title: Grassmann Phase Space Methods for Fermions. II. Field Theory

abstract:
  In both quantum optics and cold atom physics, the behaviour of bosonic
photons and atoms is often treated using phase space methods, where mode
annihilation and creation operators are represented by c-number phase space
variables, with the density operator equivalent to a distribution function of
these variables. The anti-commutation rules for fermion annihilation, creation
operators suggests the possibility of using anti-commuting Grassmann variables
to represent these operators. However, in spite of the seminal work by Cahill
and Glauber and a few applications, the use of Grassmann phase space methods in
quantum - atom optics to treat fermionic systems is rather rare, though fermion
coherent states using Grassmann variables are widely used in particle physics.
  This paper presents a phase space theory for fermion systems based on
distribution functionals, which replace the density operator and involve
Grassmann fields representing anti-commuting fermion field annihilation,
creation operators. It is an extension of a previous phase space theory paper
for fermions (Paper I) based on separate modes, in which the density operator
is replaced by a distribution function depending on Grassmann phase space
variables which represent the mode annihilation and creation operators. This
further development of the theory is important for the situation when large
numbers of fermions are involved, resulting in too many modes to treat
separately. Here Grassmann fields, distribution functionals, functional
Fokker-Planck equations and Ito stochastic field equations are involved.
Typical applications to a trapped Fermi gas of interacting spin 1/2 fermionic
atoms and to multi-component Fermi gases with non-zero range interactions are
presented, showing that the Ito stochastic field equations are local in these
cases. Solutions for spin 1/2 fermions either free or in lattices are found.


title: Determining the type of orbits in the central regions of barred galaxies

abstract:
  We use a simple dynamical model which consists of a harmonic oscillator and a
spherical component, in order to investigate the regular or chaotic character
of orbits in a barred galaxy with a central spherically symmetric nucleus. Our
aim is to explore how the basic parameters of the galactic system influence the
nature of orbits, by computing in each case the percentage of chaotic orbits,
as well as the percentages of different types of regular orbits. We also give
emphasis to the types of regular orbits that support either the formation of
nuclear rings or the barred structure of the galaxy. We provide evidence that
the traditional x1 orbital family does not always dominate in barred galaxy
models since we found several other types of resonant orbits which can also
support the barred structure. We also found that sparse enough nuclei, fast
rotating bars and high energy models can support the galactic bars. On the
other hand, weak bars, dense central nuclei, slowly rotating bars and low
energy models favor the formation of nuclear rings. We also compare our results
with previous related work.


title: Renormalizable SU(5) Unification

abstract:
  We propose a simple renormalizable grand unified theory based on the $SU(5)$
gauge symmetry where the neutrino masses are generated at the quantum level
through the Zee mechanism. In this model the same Higgs needed to correct the
mass relation between charged leptons and down-type quarks plays a crucial role
to generate neutrino masses. We show that in this model one can satisfy the
constrains coming from the unification of gauge couplings and the mechanism for
neutrino masses is discussed in detail. The predictions for proton decay are
discussed in order to understand the testability at current and future
experiments such as Hyper-Kamiokande. This simple theory predicts a light
colored octet which could give rise to exotic signatures at the LHC.


title: Non-Equilibrium Thermodynamics of Harmonically Trapped Bosons

abstract:
  We apply the framework of non-equilibrium quantum thermodynamics to the
physics of quenched small-sized bosonic quantum gases in a one-dimensional
harmonic trap. We show that dynamical orthogonality can occur in these few-body
systems with strong interactions after a quench and we find its occurrence
analytically for an infinitely repulsive pair of atoms. We further show this
phenomena is related to the fundamental excitations that dictate the dynamics
from the spectral function. We establish a clear qualitative link between the
amount of (irreversible) work performed on the system and the establishment of
entanglement. We extend our analysis to multipartite systems by examining the
case of three trapped atoms. We show the initial (pre-quench) interactions play
a vital role in determining the dynamical features, while the qualitative
features of the two particle case appear to remain valid. Finally, we propose
the use of the atomic density profile as a readily accessible indicator of the
non-equilibrium properties of the systems in question.


title:
Synchronization of linearly coupled reaction-diffusion neural networks
  with hybrid coupling and time-varying delays via aperiodically intermittent
  pinning control

abstract:
  In this paper, the complete synchronization problem of linearly coupled
neural networks with reaction-diffusion terms and time-varying delays via
aperiodically intermittent pinning control is investigated. The coupling matrix
for the network can be asymmetric. Compared with state coupling in the
synchronization literature, we design a novel distributed coupling protocol by
using the reaction-diffusion coupling-spatial coupling, which can accelerate
the synchronization process. This can be regarded as the main difference
between this paper and previous works. Using the Lyapunov function and theories
in the aperiodically intermittent control, we present some criteria for the
complete synchronization with a static coupling strength. In this case, there
is no constraint on the bound of time-varying delays, so it can be larger than
the length of control span. On the other hand, for the network with an adaptive
coupling strength, we propose a simple adaptive rule for the coupling strength
and prove its effectiveness rigorously. In this case, the bound of time-varying
delay is required to be less than the infimum of the control time span.
Finally, numerical simulations are given to verify the theoretical results.


title: Slowing down of so-called chaotic states: "Freezing" the initial state

abstract:
  The so-called chaotic states that emerge on the model of $XY$ interacting on
regular critical range networks are analyzed. Typical time scales are extracted
from the time series analysis of the global magnetization. The large spectrum
confirms the chaotic nature of the observable, anyhow different peaks in the
spectrum allows for typical characteristic time-scales to emerge. We find that
these time scales $\tau(N)$ display a critical slowing down, i.e they diverge
as $N\rightarrow\infty$. The scaling law is analyzed for different energy
densities and the behavior $\tau(N)\sim\sqrt{N}$ is exhibited. This behavior is
furthermore explained analytically using the formalism of
thermodynamic-equations of the motion and analyzing the eigenvalues of the
adjacency matrix.


title: Electric multipole response of the halo nucleus $^6$He

abstract:
  The role of different continuum components in the weakly-bound nucleus $^6$He
is studied by coupling unbound spd-waves of $^5$He by means of simple pairing
contact-delta interaction. The results of our previous investigations in a
model space containing only p-waves, showed the collective nature of the ground
state and allowed the calculation of the electric quadrupole transitions. We
extend this simple model by including also sd-continuum neutron states and we
investigate the electric monopole, dipole and octupole response of the system
for transitions to the continuum, discussing the contribution of different
configurations.


title: Arithmetic and representation theory of wild character varieties

abstract:
  We count points over a finite field on wild character varieties of Riemann
surfaces for singularities with regular semisimple leading term. The new
feature in our counting formulas is the appearance of characters of
Yokonuma-Hecke algebras. Our result leads to the conjecture that the mixed
Hodge polynomials of these character varieties agree with previously
conjectured perverse Hodge polynomials of certain twisted parabolic Higgs
moduli spaces, indicating the possibility of a P=W conjecture for a suitable
wild Hitchin system.


title: An invisible non-volatile solid-state memory

abstract:
  Information technologies require entangling data stability with encryption
for a next generation of secure data storage. Current magnetic memories,
ranging from low-density stripes up to high-density hard drives, can ultimately
be detected using routinely available probes or manipulated by external
magnetic perturbations. Antiferromagnetic resistors feature unrivalled
robustness but the stable resistive states reported scarcely differ by more
than a fraction of a percent at room temperature. Here we show that the
metamagnetic (ferromagnetic to antiferromagnetic) transition in intermetallic
Fe0.50Rh0.50 can be electrically controlled in a magnetoelectric
heterostructure to reveal or cloak a given ferromagnetic state. From an aligned
ferromagnetic phase, magnetic states are frozen into the antiferromagnetic
phase by the application of an electric field, thus eliminating the stray field
and likewise making it insensitive to external magnetic field. Application of a
reverse electric field reverts the antiferromagnetic state to the original
ferromagnetic state. Our work demonstrates the building blocks of a feasible,
extremely stable, non-volatile, electrically addressable, low-energy
dissipation, magnetoelectric multiferroic memory.


title:
Statistical study of spatio-temporal distribution of precursor solar
  flares associated with major flares

abstract:
  The aim of the present investigation is to study the spatio-temporal
distribution of precursor flares during the 24-hour interval preceding M- and
X-class major flares and the evolution of follower flares. Information on
associated (precursor and follower) flares is provided by Reuven Ramaty High
Energy Solar Spectroscopic Imager (RHESSI). Flare List, while the major flares
are observed by the Geostationary Operational Environmental Satellite (GOES)
system satellites between 2002 and 2014. There are distinct evolutionary
differences between the spatio-temporal distributions of associated flares in
about one day period depending on the type of the main flare. The spatial
distribution was characterised by the normalised frequency distribution of the
quantity $\delta$ (the distance between the major flare and its precursor flare
normalised by the sunspot group diameter) in four 6-hour time intervals before
the major event. The precursors of X-class flares have a double-peaked spatial
distribution for more than half a day prior to the major flare, but it changes
to a lognormal-like distribution roughly 6 hours prior to the event. The
precursors of M-class flares show lognormal-like distribution in each 6-hour
subinterval. The most frequent sites of the precursors in the active region are
within a distance of about 0.1 diameter of sunspot group from the site of the
major flare in each case. Our investigation shows that the build-up of energy
is more effective than the release of energy because of precursors.


title: PT-symmetry breaking in resonant tunneling heterostructures

abstract:
  We present fermionic model based on symmetric resonant tunneling
heterostructure, which demonstrates spontaneous symmetry breaking in respect to
combined operations of space inversion (P) and time reversal (T). PT-symmetry
breaking manifests itself in resonance coalescence (collapse of resonances). We
show that resonant energies are determined by eigenvalues of auxiliary
pseudo-Hermitian PT-invariant Hamiltonian.


title:
Approximation forte pour les vari\'et\'es avec une action d'un groupe
  lin\'eaire

abstract:
  Let $G$ be a connected linear algebraic group over a number field. Let $U
\hookrightarrow X$ be a $G$-equivariant open embedding of a $G$-homogeneous
space with connected stabilizers into a smooth $G$-variety. We prove that $X$
satisfies strong approximation with Brauer-Manin condition off a set $S$ of
places of $k$ under either of the following hypotheses :
  (i) $S$ is the set of archimedean places;
  (ii) $S$ is a nonempty finite set and $\bar{k}^{\times}=
\bar{k}[X]^{\times}$.
  The proof builds upon the case $X=U$, which has been the object of several
works.


title:
Least action principles for incompressible flows and geodesics between
  shapes

abstract:
  As V. I. Arnold observed in the 1960s, the Euler equations of incompressible
fluid flow correspond formally to geodesic equations in a group of
volume-preserving diffeomorphisms. Working in an Eulerian framework, we study
incompressible flows of shapes as critical paths for action (kinetic energy)
along transport paths constrained to have characteristic-function densities.
The formal geodesic equations for this problem are Euler equations for
incompressible, inviscid potential flow of fluid with zero pressure and surface
tension on the free boundary. The problem of minimizing this action exhibits an
instability associated with microdroplet formation, with the following
outcomes: Any two shapes of equal volume can be approximately connected by an
Euler spray---a countable superposition of ellipsoidal geodesics. The infimum
of the action is the Wasserstein distance squared, and is almost never attained
except in dimension 1. Every Wasserstein geodesic between bounded densities of
compact support provides a solution of the (compressible) pressureless Euler
system that is a weak limit of (incompressible) Euler sprays. Each such
Wasserstein geodesic is also the unique minimizer of a relaxed least-action
principle for a two-fluid mixture theory corresponding to incompressible fluid
mixed with vacuum.


title:
Finite time distributions of stochastically modeled chemical systems
  with absolute concentration robustness

abstract:
  Recent research in both the experimental and mathematical communities has
focused on biochemical interaction systems that satisfy an "absolute
concentration robustness" (ACR) property. The ACR property was first discovered
experimentally when, in a number of different systems, the concentrations of
key system components at equilibrium were observed to be robust to the total
concentration levels of the system. Followup mathematical work focused on
deterministic models of biochemical systems and demonstrated how chemical
reaction network theory can be utilized to explain this robustness. Later
mathematical work focused on the behavior of this same class of reaction
networks, though under the assumption that the dynamics were stochastic. Under
the stochastic assumption, it was proven that the system will undergo an
extinction event with a probability of one so long as the system is
conservative, showing starkly different long-time behavior than in the
deterministic setting. Here we consider a general class of stochastic models
that intersects with the class of ACR systems studied previously. We consider a
specific system scaling over compact time intervals and prove that in a limit
of this scaling the distribution of the abundances of the ACR species converges
to a certain product-form Poisson distribution whose mean is the ACR value of
the deterministic model. This result is in agreement with recent conjectures
pertaining to the behavior of ACR networks endowed with stochastic kinetics,
and helps to resolve the conflicting theoretical results pertaining to
deterministic and stochastic models in this setting.


title:
Proposal for verifying Wigner's rotation with massive spin-$1/2$
  particles at non-relativistic speeds

abstract:
  In quantum physics Wigner's rotation is commonly regarded as confirmed by the
Thomas precession in a hydrogen like atom. In this paper we show that a direct
experimental verification of Wigner's rotation is in principle accessible in
the regime of non-relativistic velocities at $2 \cdot 10^3\,$m/s and propose an
experiment using thermal neutrons. The experiment can be carried out in a
laboratory and it provides a test of relativity in the quantum domain.


title: Video Description using Bidirectional Recurrent Neural Networks

abstract:
  Although traditionally used in the machine translation field, the
encoder-decoder framework has been recently applied for the generation of video
and image descriptions. The combination of Convolutional and Recurrent Neural
Networks in these models has proven to outperform the previous state of the
art, obtaining more accurate video descriptions. In this work we propose
pushing further this model by introducing two contributions into the encoding
stage. First, producing richer image representations by combining object and
location information from Convolutional Neural Networks and second, introducing
Bidirectional Recurrent Neural Networks for capturing both forward and backward
temporal relationships in the input frames.


title: Causally nonseparable processes admitting a causal model

abstract:
  A recent framework of quantum theory with no global causal order predicts the
existence of "causally nonseparable" processes. Some of these processes produce
correlations incompatible with any causal order (they violate so-called "causal
inequalities" analogous to Bell inequalities) while others do not (they admit a
"causal model" analogous to a local model). Here we show for the first time
that bipartite causally nonseparable processes with a causal model exist, and
give evidence that they have no clear physical interpretation. We also provide
an algorithm to generate processes of this kind and show that they have nonzero
measure in the set of all processes. We demonstrate the existence of processes
which stop violating causal inequalities but are still causally nonseparable
when mixed with a certain amount of "white noise". This is reminiscent of the
behavior of Werner states in the context of entanglement and nonlocality.
Finally, we provide numerical evidence for the existence of causally
nonseparable processes which have a causal model even when extended with an
entangled state shared among the parties.


title: A statistical learning strategy for closed-loop control of fluid flows

abstract:
  This work discusses a closed-loop control strategy for complex systems
utilizing scarce and streaming data. A discrete embedding space is first built
using hash functions applied to the sensor measurements from which a Markov
process model is derived, approximating the complex system's dynamics. A
control strategy is then learned using reinforcement learning once rewards
relevant with respect to the control objective are identified. This method is
designed for experimental configurations, requiring no computations nor prior
knowledge of the system, and enjoys intrinsic robustness. It is illustrated on
two systems: the control of the transitions of a Lorenz 63 dynamical system,
and the control of the drag of a cylinder flow. The method is shown to perform
well.


title:
Robust coherence-based spectral enhancement for speech recognition in
  adverse real-world environments

abstract:
  Speech recognition in adverse real-world environments is highly affected by
reverberation and nonstationary background noise. A well-known strategy to
reduce such undesired signal components in multi-microphone scenarios is
spatial filtering of the microphone signals. In this article, we demonstrate
that an additional coherence-based postfilter, which is applied to the
beamformer output signal to remove diffuse interference components from the
latter, is an effective means to further improve the recognition accuracy of
modern deep learning speech recognition systems. To this end, the recently
updated 3rd CHiME Speech Separation and Recognition Challenge (CHiME-3)
baseline speech recognition system is extended by a coherence-based postfilter
and the postfilter's impact on the word error rates is investigated for the
noisy environments provided by CHiME-3. To determine the time- and
frequency-dependent postfilter gains, we use a Direction-of-Arrival
(DOA)-dependent and a DOA-independent estimator of the coherent-to-diffuse
power ratio as an approximation of the short-time signal-to-noise ratio. Our
experiments show that incorporating coherence-based postfiltering into the
CHiME-3 baseline speech recognition system leads to a significant reduction of
the word error rate scores for the noisy and reverberant environments provided
as part of CHiME-3.


title:
Some isoperimetric results concerning undirectional flows in
  microchannels

abstract:
  Three isoperimetric results are treated. (i) At a given pressure gradient,
for all channels with given (cross-sectional) area that which maximises the
steady flow $Q_{\rm steady}$ has a circular cross-section. (ii) Consider flows
starting from prescribed initial conditions developing from a prescribed
imposed pressure gradient, either periodic or steady. For such flows, amongst
all channels with given area, that which generically has the slowest approach
to the long-term, periodic or steady, flow is the circular disk cross-section.
(iii) Similar results for polygonal, $n$-gon, channels, with the optimising
shape being the regular $n$-gon are discussed


title:
Testing semi-local chiral two-nucleon interaction in selected
  electroweak processes

abstract:
  The recently developed semi-local improved chiral nucleon-nucleon interaction
is used for the first time to study several electromagnetic and weak processes
at energies below the pion production threshold. Cross sections and selected
polarization observables for deuteron photodisintegration, nucleon-deuteron
radiative capture, three-body $^3$He photodisintegration as well as capture
rates for decays of the muonic $^2$H and $^3$He atoms are calculated. The
Lippmann-Schwinger and Faddeev equations in momentum space are solved to obtain
nuclear states. The electromagnetic current operator is taken as a single
nucleon current supplemented by many-body contributions induced via the Siegert
theorem. For muon capture processes the nonrelativistic weak current together
with the dominant relativistic corrections is used. Our results compare well
with experimental data, demonstrating the same quality as is observed for the
semi-phenomenological AV18 potential. Compared to the older version of the
chiral potential with a nonlocal regularization, a much smaller cut-off
dependence is found for the state-of-art chiral local interaction employed in
this paper. Finally, estimates of errors due to the truncation of the chiral
expansion are given.


title:
Avoiding the Flip Ambiguities in 2D Wireless Sensor Localization by
  Using Unit Disk Graph Property

abstract:
  In this paper, we propose a range-based localization algorithm to localize a
wireless sensor network (WSN) in 2D. A widely used algorithm to localize a WSN
in 2D is trilateration, which runs in polynomial time. Trilateration uses three
distance measurements to localize a node. In some cases, the lack of
connectivity leads to a low percentage of localized nodes since a node's
position can be fixed using three distance measurements. We propose an
algorithm that finds the position of a node by using the absence of a distance
measurement in addition to a third distance measurement. If two nodes are not
able to sense each other, that means the distance between them is more than the
sensing range. Therefore, our algorithm checks if the possible positions of an
unlocalized node $u$ is inside the sensing range of a localized node $\ell$
that is not the neighbor of $u$. In such case, we eliminate one of the possible
positions.


title:
Large $N$ topologically twisted index: necklace quivers, dualities, and
  Sasaki-Einstein spaces

abstract:
  In this paper, we calculate the topological free energy for a number of
${\mathcal N} \geq 2$ Yang-Mills-Chern-Simons-matter theories at large $N$ and
fixed Chern-Simons levels. The topological free energy is defined as the
logarithm of the partition function of the theory on $S^2 \times S^1$ with a
topological A-twist along $S^2$ and can be reduced to a matrix integral by
exploiting the localization technique. The theories of our interest are dual to
a variety of Calabi-Yau four-fold singularities, including a product of two
asymptotically locally Euclidean singularities and the cone over various
well-known homogeneous Sasaki-Einstein seven-manifolds, $N^{0,1,0}$, $V^{5,2}$,
and $Q^{1,1,1}$. We check that the large $N$ topological free energy can be
matched for theories which are related by dualities, including mirror symmetry
and $\mathrm{SL}(2,\mathbb{Z})$ duality.


title: Recovering a redshift-extended VSL signal from galaxy surveys

abstract:
  We investigate a new method to recover (if any) a possible varying speed of
light (VSL) signal from cosmological data. It comes as an upgrade of [1,2],
where it was argued that such signal could be detected at a single redshift
location only. Here, we show how it is possible to extract information on a VSL
signal on an extended redshift range. We use mock cosmological data from future
galaxy surveys (BOSS, DESI, \emph{WFirst-2.4} and SKA): the sound horizon at
decoupling imprinted in the clustering of galaxies (BAO) as an angular diameter
distance, and the expansion rate derived from those galaxies recognized as
cosmic chronometers. We find that, given the forecast sensitivities of such
surveys, a $\sim1\%$ VSL signal can be detected at $3\sigma$ confidence level
in the redshift interval $z \in [0.,1.55]$. Smaller signals $(\sim0.1\%)$ will
be hardly detected (even if some lower possibility for a $1\sigma$ detection is
still possible). Finally, we discuss the degeneration between a VSL signal and
a non-null spatial curvature; we show that, given present bounds on curvature,
any signal, if detected, can be attributed to a VSL signal with a very high
confidence. On the other hand, our method turns out to be useful even in the
classical scenario of a constant speed of light: in this case, the signal we
reconstruct can be totally ascribed to spatial curvature and, thus, we might
have a method to detect a $0.01$-order curvature in the same redhift range with
a very high confidence.


title:
Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac
  materials

abstract:
  Tuning and stabilising topological states, such as Weyl semimetals, Dirac
semimetals, or topological insulators, is emerging as one of the major topics
in materials science. Periodic driving of many-body systems offers a platform
to design Floquet states of matter with tunable electronic properties on
ultrafast time scales. Here we show by first principles calculations how
femtosecond laser pulses with circularly polarised light can be used to switch
between Weyl semimetal, Dirac semimetal, and topological insulator states in a
prototypical 3D Dirac material, Na$_3$Bi. Our findings are general and apply to
any 3D Dirac semimetal. We discuss the concept of time-dependent bands and
steering of Floquet-Weyl points (Floquet-WPs), and demonstrate how light can
enhance topological protection against lattice perturbations. Our work has
potential practical implications for the ultrafast switching of materials
properties, like optical band gaps or anomalous magnetoresistance. Moreover, we
introduce Floquet time-dependent density functional theory (Floquet-TDDFT) as a
general and robust first principles method for predictive Floquet engineering
of topological states of matter.


title: Numerical analysis of elastica with obstacle and adhesion effects

abstract:
  We consider the numerical computation of a variational problem that arises
from materials science. The target functional is a type of elastic energy that
is influenced by obstacles and adhesion. Owing to its strong nonlinearity and
discontinuity, the Euler-Lagrange equation is very complicated, and numerical
computation of its critical points is difficult. In this paper, we discretize
and regularize the target energy as a functional defined on a space of
polygonal curves. Moreover, we develop convergence analysis for discrete
minimizers in the framework of $\Gamma$-convergence. We first show that the
discrete energy functional $\Gamma$-converges to the original one. Then, we
establish the compactness property for the sequence of discrete minimizers.
These two results allow us to extract a convergent subsequence from the
discrete minimizers. We also present some numerical examples in the last
section of the paper. Existence of singular local minimizers is suggested by
numerical experiments.


title: Exotic vector charmonium and its leptonic decay width

abstract:
  We propose a novel type of interpolating field operators, which manifests the
hybrid-like configuration that the charm quark-antiquark pair recoils against
gluonic degrees of freedom. A heavy vector charmonium-like state with a mass of
$4.33(2)\,{\rm GeV}$ is disentangled from the conventional charmonium states in
the quenched approximation. This state has affinity for the hybrid-like
operators but couples less to the relevant quark bilinear operator. We also try
to extract its leptonic decay constant and give a tentative upper limit that it
is less than one tenth of that of $J/\psi$, which corresponds to a leptonic
decay width about dozens of eV. The connection of this state with $X(4260)$ is
also discussed.


title:
Non-monotonous polymer translocation time across corrugated channels:
  comparison between Fick-Jacobs approximation and numerical simulations

abstract:
  We study the translocation of polymers across varying-section channels. Using
systematic approximations, we derive a simplified model that reduces the
problem of polymer translocation through varying-section channels to that of a
point-like particle under the action of an effective potential. Such a model
allows us to identify the relevant parameters controlling the polymers dynamics
and, in particular, their translocation time. By comparing our analytical
results with numerical simulations we show that, under suitable conditions, our
model provides reliable predictions of the dynamics of both Gaussian and
self-avoiding polymers, in two- and three-dimensional confinement. Moreover,
both theoretical predictions, as well Brownian dynamic results, show a
non-monotonous dependence of polymer translocation velocity as a function of
polymer size, a feature that can be exploited for polymer separation.


title:
Escape dynamics and fractal basins boundaries in the three-dimensional
  Earth-Moon system

abstract:
  The orbital dynamics of a spacecraft, or a comet, or an asteroid in the
Earth-Moon system in a scattering region around the Moon using the three
dimensional version of the circular restricted three-body problem is
numerically investigated. The test particle can move in bounded orbits around
the Moon or escape through the openings around the Lagrange points $L_1$ and
$L_2$ or even collide with the surface of the Moon. We explore in detail the
first four of the five possible Hill's regions configurations depending on the
value of the Jacobi constant which is of course related with the total orbital
energy. We conduct a thorough numerical analysis on the phase space mixing by
classifying initial conditions of orbits in several two-dimensional types of
planes and distinguishing between four types of motion: (i) ordered bounded,
(ii) trapped chaotic, (iii) escaping and (iv) collisional. In particular, we
locate the different basins and we relate them with the corresponding spatial
distributions of the escape and collision times. Our outcomes reveal the high
complexity of this planetary system. Furthermore, the numerical analysis
suggests a strong dependence of the properties of the considered basins with
both the total orbital energy and the initial value of the $z$ coordinate, with
a remarkable presence of fractal basin boundaries along all the regimes. Our
results are compared with earlier ones regarding the planar version of the
Earth-Moon system.


title: Multiplier ideal sheaves with weights of log canonical threshold one

abstract:
  In this article, we will characterize the multiplier ideal sheaves with
weights of log canonical threshold one by restricting the weights to complex
regular surface.


title:
Generalized Uncertainty Principle and Analogue of Quantum Gravity in
  Optics

abstract:
  The design of optical systems capable of processing and manipulating
ultra-short pulses and ultra-focused beams is highly challenging with far
reaching fundamental technological applications. One key obstacle routinely
encountered while implementing sub-wavelength optical schemes is how to
overcome the limitations set by standard Fourier optics. A strategy to overcome
these difficulties is to utilize the concept of generalized uncertainty
principle (G-UP) that has been originally developed to study quantum gravity.
In this paper we propose to use the concept of G-UP within the framework of
optics to show that the generalized Schrodinger equation describing short
pulses and ultra-focused beams predicts the existence of a minimal spatial or
temporal scale which in turn implies the existence of maximally localized
states. Using a Gaussian wavepacket with complex phase, we derive the
corresponding generalized uncertainty relation and its maximally localized
states. We numerically show that the presence of nonlinearity helps the system
to reach its maximal localization. Our results may trigger further theoretical
and experimental tests for practical applications and analogues of fundamental
physical theories.


title:
Cluster points of jumping coefficients and equisingularties of
  plurisubharmonic functions

abstract:
  In this article, we will construct a plurisubharmonic function whose jumping
coefficients have a cluster point. We also give a class of plurisubharmonic
functions which cannot be equisingular to any plurisubharmonic function with
generalized analytic singularities.


title:
Generalized master curve procedure for elastomer friction taking into
  account dependencies on velocity, temperature and normal force

abstract:
  In the sliding contact of elastomer on a rigid substrate, the coefficient of
friction may depend on a large number of system and loading parameters,
including normal force, sliding velocity, shape of contacting bodies, surface
roughness and so on. It was argued earlier that the contact configuration is
determined more immediately through the indentation depth than the normal
force, and thus the indentation depth can be considered as one of "robust
governing parameters" of friction. Both models of friction of simple shapes and
fractal surfaces demonstrate that the coefficient of friction of elastomers
should be generally a function of dimensionless combinations of sliding
velocity, surface gradient, relaxation time and size of micro-contacts. The
relaxation time does depend only on temperature and the surface slope and the
size of micro contacts mostly on the indentation depth. Based on this general
structure of the law of friction, we propose a generalized master curve
procedure for elastomer friction where the significant governing parameter -
indentation depth (or normal force) was taken into account. Unlike the
generation of the classical master curve by horizontal shifting of dependence
"friction - logarithm of velocity" for different temperatures, in the case of
various indentation depth the shifting in both horizontal and vertical
direction is required. We experimentally investigated coefficient of friction
of elastomer on sliding velocity for different indentation depths and
temperatures, and generated a master curve according to this hypothesis.


title:
On the relaxation rate of short chains of rotors interacting with
  Langevin thermostats

abstract:
  In this short note, we consider a system of two rotors, one of which
interacts with a Langevin heat bath. We show that the system relaxes to its
invariant measure (steady state) no faster than a stretched exponential
$\exp(-c t^{1/2})$. This indicates that the exponent $1/2$ obtained earlier by
the present authors and J.-P. Eckmann for short chains of rotors is optimal.


title:
The free energy landscape of GABA binding to a pentameric ligand-gated
  ion channel and its disruption by mutations

abstract:
  Pentameric ligand-gated ion channels (pLGICs) of the Cys-loop superfamily are
important neuroreceptors that mediate fast synaptic transmission. They are
activated by the binding of a neurotransmitter, but the details of this process
are still not fully understood. As a prototypical pLGIC, here we choose the
insect resistance to dieldrin (RDL) receptor, involved in the resistance to
insecticides, and investigate the binding of the neurotransmitter GABA to its
extracellular domain at the atomistic level. We achieve this by means of
$\mu$-sec funnel-metadynamics simulations, which efficiently enhance the
sampling of bound and unbound states by using a funnel-shaped restraining
potential to limit the exploration in the solvent. We reveal the sequence of
events in the binding process, from the capture of GABA from the solvent to its
pinning between the charged residues Arg111 and Glu204 in the binding pocket.
We characterize the associated free energy landscapes in the wild-type RDL
receptor and in two mutant forms, where the key residues Arg111 and Glu204 are
mutated to Ala. Experimentally these mutations produce non-functional channels,
which is reflected in the reduced ligand binding affinities, due to the loss of
essential interactions. We also analyze the dynamical behaviour of the crucial
loop C, whose opening allows the access of GABA to the binding site, while its
closure locks the ligand into the protein. The RDL receptor shares structural
and functional features with other pLGICs, hence our work outlines a valuable
protocol to study the binding of ligands to pLGICs beyond conventional docking
and molecular dynamics techniques.


title: High-level GPU programming in Julia

abstract:
  GPUs are popular devices for accelerating scientific calculations. However,
as GPU code is usually written in low-level languages, it breaks the
abstractions of high-level languages popular with scientific programmers. To
overcome this, we present a framework for CUDA GPU programming in the
high-level Julia programming language. This framework compiles Julia source
code for GPU execution, and takes care of the necessary low-level interactions
using modern code generation techniques to avoid run-time overhead.
  Evaluating the framework and its APIs on a case study comprising the trace
transform from the field of image processing, we find that the impact on
performance is minimal, while greatly increasing programmer productivity. The
metaprogramming capabilities of the Julia language proved invaluable for
enabling this. Our framework significantly improves usability of GPUs, making
them accessible for a wide range of programmers. It is available as free and
open-source software licensed under the MIT License.


title: Periodic Thermodynamics of Open Quantum Systems

abstract:
  The thermodynamics of quantum systems coupled to periodically modulated heat
baths and work reservoirs is developed. By identifying affinities and fluxes,
the first and second law are formulated consistently. In the linear response
regime, entropy production becomes a quadratic form in the affinities.
Specializing to Lindblad-dynamics, we identify the corresponding kinetic
coefficients in terms of correlation functions of the unperturbed dynamics.
Reciprocity relations follow from symmetries with respect to time reversal. The
kinetic coefficients can be split into a classical and a quantum contribution
subject to a new constraint, which follows from a natural detailed balance
condition. This constraint implies universal bounds on efficiency and power of
quantum heat engines. In particular, we show that Carnot efficiency can not be
reached whenever quantum coherence effects are present, i.e., when the
Hamiltonian used for work extraction does not commute with the bare system
Hamiltonian. For illustration, we specialize our universal results to a driven
two-level system in contact with a heat bath of sinusoidally modulated
temperature.


title: Orbital and escape dynamics in barred galaxies - I. The 2D system

abstract:
  In this paper we use the two-dimensional (2D) version of a new analytical
gravitational model in order to explore the orbital as well as the escape
dynamics of the stars in a barred galaxy composed of a spherically symmetric
central nucleus, a bar, a flat disk and a dark matter halo component. A
thorough numerical investigation is conducted for distinguishing between
bounded and escaping motion. Furthermore bounded orbits are further classified
into non-escaping regular and trapped chaotic using the Smaller ALingment Index
(SALI) method. Our aim is to determine the basins of escape through the two
symmetrical escape channels around the Lagrange points $L_2$ and $L_3$ and also
to relate them with the corresponding distribution of the escape rates of the
orbits. We integrate initial conditions of orbits in several types of planes so
as to obtain a more complete view of the overall orbital properties of the
dynamical system. We also present evidence that the unstable manifolds which
guide the orbits in and out the interior region are directly related with the
formation of spiral and ring stellar structures observed in barred galaxies. In
particular, we examine how the bar's semi-major axis determines the resulting
morphologies. Our numerical simulations indicate that weak barred structures
favour the formation of $R_1$ rings or $R_1'$ pseudo-rings, while strong bars
on the other hand, give rise to $R_1R_2$ and open spiral morphologies. Our
results are compared with earlier related work. The escape dynamics and the
properties of the manifolds of the full three-dimensional (3D) galactic system
will be given in an accompanying paper.


title:
Recency-Bounded Verification of Dynamic Database-Driven Systems
  (Extended Version)

abstract:
  We propose a formalism to model database-driven systems, called database
manipulating systems (DMS). The actions of a DMS modify the current instance of
a relational database by adding new elements into the database, deleting tuples
from the relations and adding tuples to the relations. The elements which are
modified by an action are chosen by (full) first-order queries. DMS is a highly
expressive model and can be thought of as a succinct representation of an
infinite state relational transition system, in line with similar models
proposed in the literature. We propose monadic second order logic (MSO-FO) to
reason about sequences of database instances appearing along a run.
Unsurprisingly, the linear-time model checking problem of DMS against MSO-FO is
undecidable. Towards decidability, we propose under-approximate model checking
of DMS, where the under-approximation parameter is the "bound on recency". In a
$k$-recency-bounded run, only the most recent $k$ elements in the current
active domain may be modified by an action. More runs can be verified by
increasing the bound on recency. Our main result shows that recency-bounded
model checking of DMS against MSO-FO is decidable, by a reduction to the
satisfiability problem of MSO over nested words.


title:
Multifractal cross-correlation effects in two-variable time series of
  complex network vertex observables

abstract:
  We investigate the scaling of the cross-correlations calculated for
two-variable time series containing vertex properties in the context of complex
networks. Time series of such observables are obtained by means of stationary,
unbiased random walks. We consider three vertex properties that provide,
respectively, short, medium, and long-range information regarding the
topological role of vertices in a given network. In order to reveal the
relation between these quantities, we applied the multifractal
cross-correlation analysis technique, which provides information about the
nonlinear effects in coupling of time series. We show that the considered
network models are characterized by unique multifractal properties of the
cross-correlation. In particular, it is possible to distinguish between
Erd\"{o}s-R\'{e}nyi, Barab\'{a}si-Albert, and Watts-Strogatz networks on the
basis of fractal cross-correlation. Moreover, the analysis of protein contact
networks reveals characteristics shared with both scale-free and small-world
models.


title: Hypergroups and hyperfields in universal algebra

abstract:
  Hypergroups are lifted to power semigroups with negation, yielding a method
of transferring results from semigroup theory. This applies to analogous
structures such as hypergroups, hyperfields, and hypermodules, and permits us
to transfer the general theory from universal algebra. Special attention is
given to the examples from Baker's article.


title:
Alleviating the $\bar B \to D \tau \nu$ and $\bar B \to D^* \tau
  \nu_\tau$ puzzle in the MSSM

abstract:
  We show that Supersymmetric effects driven by penguin contributions to the $b
\to c \tau \nu_\tau$ transition are able to account simultaneously for a
sizeable increase of both branching ratios of $\bar{B}\to D
\tau\bar{\nu}_{\tau}$ and $\bar{B} \to D^{*} \tau\bar{\nu}_{\tau}$ with respect
to the Standard Model predictions, thereby approaching their experimentally
measured values. We emphasise that a light chargino and neutralino, with masses
less than 300 GeV, in addition to a large stau/snueutrino mass and a large
$\tan\beta$, are essential for enhancing the effect of the lepton penguin $\tau
\nu_\tau W^{\pm}$, which is responsible for the improved theoretical
predictions with respect to current data.


title:
Improving Energy-Based Estimates of Monsoon Location in the Presence of
  Proximal Deserts

abstract:
  Two theoretical frameworks have been widely used to understand the response
of monsoons to local and remote forcings: the vertically integrated atmospheric
energy budget and convective quasi-equilibrium (CQE). Existing forms of these
frameworks neglect some of the complexities of monsoons, such as the shallow
meridional circulations that advect dry air from adjacent deserts into the
middle and lower troposphere of monsoon regions. Here the fidelity of energy
budget and CQE theories for monsoon location is assessed in a three-dimensional
beta-plane model with boundary conditions representative of an off-equatorial
continent with a tropical grassland and an adjacent subtropical desert. Energy
budget theories show mixed success for various SST and land surface albedo
forcings, with the ITCZ being collocated with the energy flux equator but a
non-monotonic relationship existing between ITCZ latitude and cross-equatorial
energy transport. Accounting for the off-equatorial position of the unperturbed
energy flux equator is shown to be important when a linearization of meridional
energy transports is used to quantitatively diagnose ITCZ location. CQE
theories that diagnose ITCZ location based on the subcloud moist static energy
maximum are shown to have large biases; accounting for convective entrainment
of dry air by using a lower-tropospheric mean moist static energy provides a
more correct diagnosis of ITCZ location. Finally, it is shown that although
ITCZ shifts can be diagnosed by modified CQE and energy budget frameworks,
neither can be used in a quantitatively prognostic capacity due to
unpredictable feedbacks that are often larger than the imposed forcing.


title:
Asymptotic Behavior of the Expectation Value of Permanent Products, a
  Sequel

abstract:
  Continuing the computations of the previous paper,[1], we calculate another
approximation to the expectation value of the product of two permanents in the
ensemble of 0-1 n x n matrices with like row and column sums equal r uniformly
weighted. Here we consider the Bernoulli random matrix ensemble where each
entry independently has a probability p=r/n of being one, otherwise zero. We
denote the expectations of the approximation ensemble of [1] by E, and the
expectations of the present approximation ensemble, the Bernoulli random matrix
ensemble, by E*. One has for these
  lim_{r to infinity}( lim_{n to infinity} (1/n) ln(E(perm_m(A)))
  -lim_{n to infinity} (1/n) ln(E*(perm_m(A))) ) = 0 and
  lim_{n to infinity} (1/n) ln(E(perm_m(A)perm_m'(A))) =
  lim_{n to infinity} (1/n) ln(E(perm_m(A))) +
  lim_{n to infinity} (1/n) ln(E(perm_m'(A)))
  Here and in all such formulas the subscripts m,m' are assumed proportional to
n. It seems likely to us that
  lim_{r to infinity}( lim_{n to infinity} (1/n) ln(E*(perm_m(A)perm_m'(A)))
  - lim_{n to infinity} (1/n) ln(E*(perm_m(A))) +
  - lim_{n to infinity} (1/n) ln(E*(perm_m'(A))) ) = 0
  We believe: "E gives us the `correct' expectations in these equations, and E*
is only `correct' in the r to infinity limit."


title: Strong monogamy inequalities for four qubits

abstract:
  We investigate possible generalizations of the Coffman-Kundu-Wootters
monogamy inequality to four qubits, accounting for multipartite entanglement in
addition to the bipartite terms. We show that the most natural extension of the
inequality does not hold in general, and we describe the violations of this
inequality in detail. We investigate alternative ways to extend the monogamy
inequality to express a constraint on entanglement sharing valid for all
four-qubit states, and perform an extensive numerical analysis of randomly
generated four-qubit states to explore the properties of such extensions.


title:
The electromagnetic response of a relativistic Fermi gas at finite
  temperatures: applications to condensed-matter systems

abstract:
  We investigate the electromagnetic response of a relativistic Fermi gas at
finite temperatures. Our theoretical results are first-order in the
fine-structure constant. The electromagnetic permittivity and permeability are
introduced via general constitutive relations in reciprocal space, and computed
for different values of the gas density and temperature. As expected, the
electric permittivity of the relativistic Fermi gas is found in good agreement
with the Lindhard dielectric function in the low-temperature limit.
Applications to condensed-matter physics are briefly discussed. In particular,
theoretical results are in good agreement with experimental measurements of the
plasmon energy in graphite and tin oxide, as functions of both the temperature
and wave vector. We stress that the present electromagnetic response of a
relativistic Fermi gas at finite temperatures could be of potential interest in
future plasmonic and photonic investigations.


title: On Riemann Surfaces of genus g with 4g automorphisms

abstract:
  We determine, for all genus $g\geq2$ the Riemann surfaces of genus $g$ with
$4g$ automorphisms. For $g\neq$ $3,6,12,15$ or $30$, this surfaces form a real
Riemann surface $\mathcal{F}_{g}$ in the moduli space $\mathcal{M}_{g}$: the
Riemann sphere with three punctures. The set of real Riemann surfaces in
$\mathcal{F}_{g}$ consists of three intervals its closure in the
Deligne-Mumford compactification of $\mathcal{M}_{g}$ is a closed Jordan curve.


title:
First-principle calculations of phononic, electronic and optical
  properties of monolayer arsenene and antimonene allotropes

abstract:
  Recently a stable monolayer of antimony in buckled honeycomb structure called
antimonene was successfully grown on 3D topological insulator Bi$_2$Te$_3$ and
Sb$_2$Te$_3$, which displays semiconducting properties. By first principle
calculations, we systematically investigate the phononic, electronic and
optical properties of $\alpha-$ and $\beta-$ allotropes of monolayer
arsenene/antimonene. We investigate the dynamical stabilities of these four
materials by considering the phonon dispersions. The obtained electronic
structures reveal the direct band gap of monolayer $\alpha-$As/Sb and indirect
band gap of $\beta-$As/Sb. Significant absorption is observed in $\alpha-$Sb,
which can be used as a broad saturable absorber.


title: Graph Matrices: Norm Bounds and Applications

abstract:
  In this paper, we derive nearly tight probabilistic norm bounds for a class
of random matrices we call graph matrices. While the classical case of
symmetric matrices with independent random entries (Wigner's matrices) is a
special case, in general, the entries of our matrices will be dependent in a
way that can be specified in terms of a fixed-size graph we refer to as the
shape. For Wigner's matrices, this shape is $K_2$, the clique on 2 vertices. To
prove our norm bounds, we use the trace power method.
  In a recent series of papers by Potechin and coauthors, graph matrices played
a crucial role in proving average-case lower bounds for the Sum-of-Squares
(SoS) hierarchy of proof systems, one of the most powerful, but difficult to
analyze, techniques in combinatorial optimization. In particular, graph
matrices played a crucial role in proving that low-degree SoS cannot refute the
existence of a large clique in a random graph and proving that low-degree SoS
cannot prove a tight lower bound on the ground state energy of the
Sherrington-Kirkpatrick Hamiltonian. In this paper, we give several additional
applications of graph matrices. We show that for several technical lemmas in
the literature, while the original analyses were quite involved, we can give
direct proofs using graph matrices and our norm bounds.


title: 2-DOF block pole placement control application to: have-dash-II missile

abstract:
  In a multivariable servomechanism design, it is required that the output
vector tracks a certain reference vector while satisfying some desired
transient specifications, for this purpose a 2DOF control law consisting of
state feedback gain and feedforward scaling gain is proposed. The control law
is designed using block pole placement technique by assigning a set of desired
Block poles in different canonical forms. The resulting control is simulated
for linearized model of the HAVE DASH II BTT missile, numerical results are
analyzed and compared in terms of transient response, gain magnitude,
performance robustness, stability robustness and tracking. The suitable
structure for this case study is then selected.


title:
Embedding AC Power Flow in the Complex Plane Part I: Modelling and
  Mathematical Foundation

abstract:
  Part I of this paper embeds the AC power flow problem with voltage control
and exponential load model in the complex plane. Modeling the action of network
controllers that regulate the magnitude of voltage phasors is a challenging
task in the complex plane as it has to preserve the framework of holomorphicity
for obtention of these complex variables with fixed magnitude. The paper
presents two distinct approaches to modelling the voltage control of generator
nodes. Exponential (or voltage-dependent) load models are crucial for accurate
power flow studies under stressed conditions. This new framework for power flow
studies exploits the theory of analytic continuation, especially the monodromy
theorem for resolving issues that have plagued conventional numerical methods
for decades. Here the focus is on the indispensable role of Pade approximants
for analytic continuation of complex functions, expressed as power series,
beyond the boundary of convergence of the series. The zero-pole distribution of
these rational approximants serves as a proximity index to voltage collapse.
Finally the mathematical underpinnings of this framework, namely the Stahl's
theory and the rate of convergence of Pade approximants are explained.


title: Sweep Distortion Removal from THz Images via Blind Demodulation

abstract:
  Heavy sweep distortion induced by alignments and inter-reflections of layers
of a sample is a major burden in recovering 2D and 3D information in time
resolved spectral imaging. This problem cannot be addressed by conventional
denoising and signal processing techniques as it heavily depends on the physics
of the acquisition. Here we propose and implement an algorithmic framework
based on low-rank matrix recovery and alternating minimization that exploits
the forward model for THz acquisition. The method allows recovering the
original signal in spite of the presence of temporal-spatial distortions. We
address a blind-demodulation problem, where based on several observations of
the sample texture modulated by an undesired sweep pattern, the two classes of
signals are separated. The performance of the method is examined in both
synthetic and experimental data, and the successful reconstructions are
demonstrated. The proposed general scheme can be implemented to advance
inspection and imaging applications in THz and other time-resolved sensing
modalities.


title: In the mood: the dynamics of collective sentiments on Twitter

abstract:
  We study the relationship between the sentiment levels of Twitter users and
the evolving network structure that the users created by @-mentioning each
other. We use a large dataset of tweets to which we apply three sentiment
scoring algorithms, including the open source SentiStrength program.
Specifically we make three contributions. Firstly we find that people who have
potentially the largest communication reach (according to a dynamic centrality
measure) use sentiment differently than the average user: for example they use
positive sentiment more often and negative sentiment less often. Secondly we
find that when we follow structurally stable Twitter communities over a period
of months, their sentiment levels are also stable, and sudden changes in
community sentiment from one day to the next can in most cases be traced to
external events affecting the community. Thirdly, based on our findings, we
create and calibrate a simple agent-based model that is capable of reproducing
measures of emotive response comparable to those obtained from our empirical
dataset.


title:
Coherent backscattering of inelastic photons from atoms and their mirror
  images

abstract:
  Coherent backscattering is a coherence effect in the propagation of waves
through disordered media involving two or more scattering events. Here, we
report on the observation of coherent backscattering from individual atoms and
their mirror images. This system displays two important advantages: First, the
effect can be observed at low optical densities, which allows to work in very
dilute clouds or far from resonance. Second, due to the fact that the radiation
of an atom interferes constructively with that of its own image, the phenomenon
is much more robust to dephasing induced by strong saturation. In particular,
the contribution of inelastically scattered photons to the interference process
is demonstrated.


title: Global Defect Topology in Nematic Liquid Crystals

abstract:
  We give the global homotopy classification of nematic textures for a general
domain with weak anchoring boundary conditions and arbitrary defect set in
terms of twisted cohomology, and give an explicit computation for the case of
knotted and linked defects in $\mathbb{R}^3$, showing that the distinct
homotopy classes have a 1-1 correspondence with the first homology group of the
branched double cover, branched over the disclination loops. We show further
that the subset of those classes corresponding to elements of order 2 in this
group have representatives that are planar and characterise the obstruction for
other classes in terms of merons. The planar textures are a feature of the
global defect topology that is not reflected in any local characterisation.
Finally, we describe how the global classification relates to recent
experiments on nematic droplets and how elements of order 4 relate to the
presence of $\tau$ lines in cholesterics.


title:
A two-channel, spectrally degenerate polarization entangled source on
  chip

abstract:
  Integrated optics provides the platform for the experimental implementation
of highly complex and compact circuits for quantum information applications. In
this context integrated waveguide sources represent a powerful resource for the
generation of quantum states of light due to their high brightness and
stability. However, the confinement of the light in a single spatial mode
limits the realization of multi-channel sources. Due to this challenge one of
the most adopted sources in quantum information processes, i.e. a source which
generates spectrally indistinguishable polarization entangled photons in two
different spatial modes, has not yet been realized in a fully integrated
platform. Here we overcome this limitation by suitably engineering two
periodically poled waveguides and an integrated polarization splitter in
lithium niobate. This source produces polarization entangled states with
fidelity of F = 0.973(3) and a test of Bell's inequality results in a violation
larger than 14 standard deviations. It can work both in pulsed and continuous
wave regime. This device represents a new step toward the implementation of
fully integrated circuits for quantum information applications.


title: Unifying renormalization group and the continuous wavelet transform

abstract:
  It is shown that the renormalization group turns to be a symmetry group in a
theory initially formulated in a space of scale-dependent functions, i.e, those
depending on both the position $x$ and the resolution $a$. Such theory, earlier
described in {\em Phys.Rev.D} 81(2010)125003, 88(2013)025015, is finite by
construction. The space of scale-dependent functions $\{ \phi_a(x) \}$ is more
relevant to physical reality than the space of square-integrable functions
$\mathrm{L}^2(R^d)$, because, due to the Heisenberg uncertainty principle, what
is really measured in any experiment is always defined in a region rather than
point. The effective action $\Gamma_{(A)}$ of our theory turns to be
complementary to the exact renormalization group effective action. The role of
the regulator is played by the basic wavelet -- an "aperture function" of a
measuring device used to produce the snapshot of a field $\phi$ at the point
$x$ with the resolution $a$. The standard RG results for $\phi^4$ model are
reproduced.


title: Fundamental Limits of Simultaneous Energy and Information Transmission

abstract:
  In this paper, existing results regarding the fundamental limits of
simultaneous energy and information transmission in wireless networks are
reviewed. In point-to-point channels, the fundamental limits on the information
rate given a minimum energy rate constraint are fully characterized by the
notion of information-energy capacity function introduced by Varshney in 2008.
In a centralized multi-user channel, the fundamental limits on the information
rates given a minimum energy rate constraint are described by the notion of
information-energy capacity region introduced by Fouladgar and Simeone in 2012.
Alternatively, in a decentralized multi-user channel, the authors have recently
introduced the notion of information-energy Nash region to describe these
fundamental limits. All these fundamental limits reveal the intrinsic trade-off
between the two conflicting tasks of information and energy transmission.


title: Nonabelian Cohen-Lenstra Heuristics over Function Fields

abstract:
  Boston, Bush, and Hajir have developed heuristics, extending the
Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups
of the maximal unramified pro-p extensions of imaginary quadratic number fields
for p an odd prime. In this paper, we find the moments of their proposed
distribution, and further prove there is a unique distribution with those
moments. Further, we show that in the function field analog, for imaginary
quadratic extensions of F_q(t), the Galois groups of the maximal unramified
pro-p extensions, as q goes to infinity, have the moments predicted by the
Boston, Bush, and Hajir heuristics. In fact, we determine the moments of the
Galois groups of the maximal unramified pro-odd extensions of imaginary
quadratic function fields, leading to a conjecture on Galois groups of the
maximal unramified pro-odd extensions of imaginary quadratic number fields.


title: Charge symmetry breaking in the A=4 hypernuclei

abstract:
  Charge symmetry breaking (CSB) in the $\Lambda$-nucleon strong interaction
generates a charge dependence of $\Lambda$ separation energies in mirror
hypernuclei, which in the case of the $A=4$ mirror hypernuclei $0^+$ ground
states is sizable, $\Delta B^{J=0}_{\Lambda}\equiv B^{J=0}_{\Lambda}
(_{\Lambda}^4{\rm He}) -B^{J=0}_{\Lambda}(_{\Lambda}^4{\rm H})=230\pm 90$ keV,
and of opposite sign to that induced by the Coulomb repulsion in light
hypernuclei. Recent ab-initio calculations of the ($_{\Lambda}^4{\rm
H},{_{\Lambda}^4{\rm He}}$) mirror hypernuclei $0^+_{\rm g.s.}$ and $1^+_{\rm
exc}$ levels have demonstrated that a $\Lambda - \Sigma^0$ mixing CSB model due
to Dalitz and von Hippel (1964) is capable of reproducing this large value of
$\Delta B^{J=0}_{\Lambda}$. These calculations are discussed here with emphasis
placed on the leading-order chiral EFT hyperon-nucleon strong-interaction
Bonn-Juelich potential model used and the no-core shell-model calculational
scheme applied. The role of one-pion exchange in producing sizable CSB level
splittings in the $A=4$ mirror hypernuclei is discussed.


title: Simulation of Underwater RF Wireless Sensor Networks using Castalia

abstract:
  We use real measurements of the underwater channel to simulate a whole
underwater RF wireless sensor networks, including propagation impairments
(e.g., noise, interference), radio hardware (e.g., modulation scheme,
bandwidth, transmit power), hardware limitations (e.g., clock drift,
transmission buffer) and complete MAC and routing protocols. The results should
be useful for designing centralized and distributed algorithms for applications
like monitoring, event detection, localization and aid to navigation. We also
explain the changes that have to be done to Castalia in order to perform the
simulations.


title: Cu-NMR study of oxygen disorder in ortho-II YBa2Cu3Oy

abstract:
  We show that 63Cu NMR spectra place strong constraints on both the nature and
the concentration of oxygen defects in ortho-II YBa2Cu3Oy. Systematic deviation
from ideal ortho-II order is revealed by the presence of inequivalent Cu sites
in either full or empty chains. The results can be explained by two kinds of
defects: oxygen clustering into additional chains, or fragments thereof, most
likely present at all concentrations (6.4<y<6.6) and oxygen vacancies randomly
distributed in the full chains for y<6.50 only. Furthermore, the remarkable
reproducibility of the spectra in different samples with optimal ortho-II order
(y=6.55) shows that chain-oxygen disorder, known to limit electronic coherence,
is ineluctable because it is inherent to these compounds.


title: Atomic coherence effects in few-cycle pulse induced ionization

abstract:
  The interaction of a short, few-cycle light pulse and an atom which is
prepared initially in a superposition of two stationary states is shown to
exhibit strong signatures of atomic coherence. For a given waveform of the
laser pulse, appropriate quantum mechanical relative phase between the
constituents of the initial superposition can increase the ionization
probability by a factor of three. A similarly strong effect can be observed
when the waveform of the ionizing pulse is changed. These results allow for
intuitive explanations, which are in agreement with the numerical integration
of the time dependent Schr\"{o}dinger equation.


title: Functional renormalization group for three-dimensional quantum magnetism

abstract:
  We formulate a pseudofermion functional renormalization group (PFFRG) scheme
to address frustrated quantum magnetism in three dimensions. In a scenario
where many numerical approaches fail due to sign problem or small system size,
three-dimensional (3D) PFFRG allows for a quantitative investigation of the
quantum spin problem and its observables. We illustrate 3D PFFRG for the simple
cubic $J_1$-$J_2$-$J_3$ quantum Heisenberg antiferromagnet, and benchmark it
against other approaches, if available.


title: Some results on the cubic partition

abstract:
  In this paper we explore Kruyswijk's method and show how to obtain
congruences for cubic partition. That apart we also examine inequalities for
a(n) and provide upper bound for it in the fashion of the classic partition
function p(n).


title:
Capillary Breakup of a Liquid Bridge: Identifying Regimes and
  Transitions

abstract:
  Computations of the breakup of a liquid bridge are used to establish the
limits of applicability of similarity solutions derived for different breakup
regimes. These regimes are based on particular viscous-inertial balances, that
is different limits of the Ohnesorge number $Oh$. To accurately establish the
transitions between regimes, the minimum bridge radius is resolved through four
orders of magnitude using a purpose-built multiscale finite element method.
This allows us to construct a quantitative phase diagram for the breakup
phenomenon which includes the appearance of a recently discovered low-$Oh$
viscous regime. The method used to quantify the accuracy of the similarity
solutions allows us to identify a number of previously unobserved features of
the breakup, most notably an oscillatory convergence towards the
viscous-inertial similarity solution. Finally, we discuss how the new findings
open up a number of challenges for both theoretical and experimental analysis.