title:
Convergence of finite elements on an evolving surface driven by
  diffusion on the surface

abstract:
  For a parabolic surface partial differential equation coupled to surface
evolution, convergence of the spatial semidiscretization is studied in this
paper. The velocity of the evolving surface is not given explicitly, but
depends on the solution of the parabolic equation on the surface. Various
velocity laws are considered: elliptic regularization of a direct pointwise
coupling, a regularized mean curvature flow and a dynamic velocity law. A novel
stability and convergence analysis for evolving surface finite elements for the
coupled problem of surface diffusion and surface evolution is developed. The
stability analysis works with the matrix-vector formulation of the method and
does not use geometric arguments. The geometry enters only into the consistency
estimates. Numerical experiments complement the theoretical results.


title: Complex Linear Physical-Layer Network Coding

abstract:
  This paper presents the results of a comprehensive investigation of complex
linear physical-layer network (PNC) in two-way relay channels (TWRC). A
critical question at relay R is as follows: "Given channel gain ratio $\eta =
h_A/h_B$, where $h_A$ and $h_B$ are the complex channel gains from nodes A and
B to relay R, respectively, what is the optimal coefficients $(\alpha,\beta)$
that minimizes the symbol error rate (SER) of $w_N=\alpha w_A+\beta w_B$ when
we attempt to detect $w_N$ in the presence of noise?" Our contributions with
respect to this question are as follows: (1) We put forth a general
Gaussian-integer formulation for complex linear PNC in which $\alpha,\beta,w_A,
w_B$, and $w_N$ are elements of a finite field of Gaussian integers, that is,
the field of $\mathbb{Z}[i]/q$ where $q$ is a Gaussian prime. Previous vector
formulation, in which $w_A$, $w_B$, and $w_N$ were represented by
$2$-dimensional vectors and $\alpha$ and $\beta$ were represented by $2\times
2$ matrices, corresponds to a subcase of our Gaussian-integer formulation where
$q$ is real prime only. Extension to Gaussian prime $q$, where $q$ can be
complex, gives us a larger set of signal constellations to achieve different
rates at different SNR. (2) We show how to divide the complex plane of $\eta$
into different Voronoi regions such that the $\eta$ within each Voronoi region
share the same optimal PNC mapping $(\alpha_{opt},\beta_{opt})$. We uncover the
structure of the Voronoi regions that allows us to compute a minimum-distance
metric that characterizes the SER of $w_N$ under optimal PNC mapping
$(\alpha_{opt},\beta_{opt})$. Overall, the contributions in (1) and (2) yield a
toolset for a comprehensive understanding of complex linear PNC in
$\mathbb{Z}[i]/q$. We believe investigation of linear PNC beyond
$\mathbb{Z}[i]/q$ can follow the same approach.


title: Generalized Bogomolov-Gieseker type inequalities on Fano 3-folds

abstract:
  We modify the conjectural Bogomolov-Gieseker type inequality introduced by
Bayer, Macri and Toda to construct a family of geometric Bridgeland stability
conditions on smooth projective 3-folds. We give an equivalent conjecture which
needs to check these inequalities for a small class of tilt stable objects. We
extend some of the techniques in Li's work for Fano 3-folds of Picard rank one
to establish our modified Bogomolov-Gieseker type inequality conjecture for
general Fano 3-folds.


title: Dimension in the realm of transseries

abstract:
  Let $\mathbb T$ be the differential field of transseries. We establish some
basic properties of the dimension of a definable subset of ${\mathbb T}^n$,
also in relation to its codimension in the ambient space ${\mathbb T}^n$. The
case of dimension $0$ is of special interest, and can be characterized both in
topological terms (discreteness) and in terms of the
Herwig-Hrushovski-Macpherson notion of co-analyzability. The proofs use results
by the authors from "Asymptotic Differential Algebra and Model Theory of
Transseries", the axiomatic framework for "dimension" in [L. van den Dries,
"Dimension of definable sets, algebraic boundedness and Henselian fields", Ann.
Pure Appl. Logic 45 (1989), no. 2, 189-209], and facts about co-analyzability
from [B. Herwig, E. Hrushovski, D. Macpherson, "Interpretable groups, stably
embedded sets, and Vaughtian pairs", J. London Math. Soc. (2003) 68, no. 1,
1-11].


title: The $k$-strong induced arboricity of a graph

abstract:
  The induced arboricity of a graph $G$ is the smallest number of induced
forests covering the edges of $G$. This is a well-defined parameter bounded
from above by the number of edges of $G$ when each forest in a cover consists
of exactly one edge. Not all edges of a graph necessarily belong to induced
forests with larger components. For $k\geq 1$, we call an edge $k$-valid if it
is contained in an induced tree on $k$ edges. The $k$-strong induced arboricity
of $G$, denoted by $f_k(G)$, is the smallest number of induced forests with
components of sizes at least $k$ that cover all $k$-valid edges in $G$. This
parameter is highly non-monotone.
  However, we prove that for any proper minor-closed graph class $\mathcal{C}$,
and more generally for any class of bounded expansion, and any $k \geq 1$, the
maximum value of $f_k(G)$ for $G \in \mathcal{C}$ is bounded from above by a
constant depending only on $\mathcal{C}$ and $k$. This implies that the
adjacent closed vertex-distinguishing number of graphs from a class of bounded
expansion is bounded by a constant depending only on the class. We further
prove that $f_2(G) \leq 3\binom{t+1}{3}$ for any graph $G$ of tree-width~$t$
and that $f_k(G) \leq (2k)^d$ for any graph of tree-depth $d$. In addition, we
prove that $f_2(G) \leq 310$ when $G$ is planar.


title: Counting words satisfying the rhythmic oddity property

abstract:
  This paper describes an enumeration of all words having a combinatoric
property called "rhythmic oddity property"named \emph{rop-words}.\ This
property was introduced by Simha Aron in the 1990s. The set of rop-words is not
a subset of the set of Lyndon words, but is very closed. We show that there is
a bijection between some necklaces and rop-words. This leads to a formula for
counting the rop-words of a given length. \textsc{Keywords:} Combinatoric on
words. Lyndon words. Rhythmic oddity. Music formalization


title:
Superposition and propagation of singularities for extended Gevrey
  regularity

abstract:
  We use sequences which depend on two parameters to define families of
ultradifferentiable functions which contain Gevrey classes. It is shown that
such families are closed under superposition, and therefore inverse closed as
well. Furthermore, we study partial differential operators whose coefficients
satisfy the extended Gevrey regularity. To that aim we introduce appropriate
wave front sets and derive a theorem on propagation of singularities. This
extends related known results in the sense that weaker assumptions on the
regularity of the coefficients are imposed.


title: Projectively induced rotation invariant K\"ahler metrics

abstract:
  We classify K\"ahler-Einstein manifolds which admit a K\"ahler immersion
into a finite dimensional complex projective space endowed with the
Fubini-Study metric, whose codimention is not greater than 3 and whose metric
is rotation invariant.


title: A minimal model of partial synchrony

abstract:
  We show that self-consistent partial synchrony in globally coupled
oscillatory ensembles is a general phenomenon. We analyze in detail appearance
and stability properties of this state in possibly the simplest setup of a
biharmonic Kuramoto-Daido phase model as well as demonstrate the effect in
limit-cycle relaxational Rayleigh oscillators. Such a regime extends the notion
of splay state from a uniform to distribution of phases to an oscillating one.
Suitable collective observables such as the Kuramoto order parameter allow
detecting the presence of a inhomogeneous distribution. The characteristic and
most peculiar property of partial synchrony is the difference between the
frequencies of single units and that of the macroscopic field.


title:
Acoustic tests of Lorentz symmetry using Bulk Acoustic Wave quartz
  oscillators

abstract:
  A new method of probing Lorentz invariance in the neutron sector is
described. The method is baed on stable quartz bulk acoustic wave oscillators
compared on a rotating table. Due to Lorentz-invariance violation, the
resonance frequencies of acoustic wave resonators depend on the direction in
space via a corresponding dependence of masses of the constituent elements of
solids. This dependence is measured via observation of oscillator phase noise
built around such devices. The first such experiment now shows sensitivity to
violation down to the limit $\tilde{c}^n_Q=(-1.8\pm2.2)\times 10^{-14}$ GeV.
Methods to improve the sensitivity are described together with some other
applications of the technology in tests of fundamental physics.


title:
Nonreciprocity and magnetic-free isolation based on optomechanical
  interactions

abstract:
  Photonic nonreciprocal components, such as isolators and circulators, provide
highly desirable functionalities for optical circuitry. This motivates the
active investigation of mechanisms that break reciprocity, and pose
alternatives to magneto-optic effects in on-chip systems. In this work, we use
optomechanical interactions to strongly break reciprocity in a compact system.
We derive minimal requirements to create nonreciprocity in a wide class of
systems that couple two optical modes to a mechanical mode, highlighting the
importance of optically biasing the modes at a controlled phase difference. We
realize these principles in a silica microtoroid optomechanical resonator and
use quantitative heterodyne spectroscopy to demonstrate up to 10 dB optical
isolation at telecom wavelengths. We show that nonreciprocal transmission is
preserved for nondegenerate modes, and demonstrate nonreciprocal parametric
amplification. These results open a route to exploiting various nonreciprocal
effects in optomechanical systems in different electromagnetic and mechanical
frequency regimes, including optomechanical metamaterials with topologically
non-trivial properties.


title:
Low-energy hadronic cross sections measurements at BABAR and g-2 of the
  muon

abstract:
  The LO hadronic vacuum polarization (VP) contribution to the muon anomalous
magnetic moment $a_\mu$ is obtained as the integral as a function of energy of
an expression that involves the ratio of the $e^+e^- \rightarrow
\mathrm{hadron}$ cross section to the pointlike muon pair cross section. The
former is extracted from experimental data for individual hadronic final states
at low energies, and from perturbative QCD at high energies. The BaBar
experiment at SLAC has a programme of systematic measurement of the production
of the lowest-rest-mass hadronic final states, those that contribute most
significantly to the integral. To that purpose, we use a method in which, while
the PEP-II storage ring is operated at a constant energy in the center of mass
system, $\sqrt{s}$, of about 10.6 GeV, events are reconstructed and selected
which have been produced with a hadronic final state together with a
high-energy photon which may (photon tagging) or may not (no tagging) be
observed. In our kinematic configuration the photon is almost always emitted by
the electron or by the positron of the initial state, hence the name
"initial-state radiation" (ISR). The cross section for the direct $e^+e^-
\rightarrow f$ production of a final state $f$ at an energy $\sqrt{s'}$ is then
extracted from the differential cross section of the ISR production of the
state $f$ with invariant mass $\sqrt{s'}$. The programme is almost completed
and has lead to a number of first measurements and to an improvement of up to a
factor of three of the uncertainties on the contributions of individual
channels to $a_\mu$.


title: Interlacing Diffusions

abstract:
  We study in some generality intertwinings between $h$-transforms of
Karlin-McGregor semigroups associated with one dimensional diffusion processes
and those of their Siegmund duals. We obtain couplings so that the
corresponding processes are interlaced and furthermore give formulae in terms
of block determinants for the transition densities of these coupled processes.
This allows us to build diffusion processes in the space of Gelfand-Tsetlin
patterns so that the evolution of each level is Markovian. We show how known
examples naturally fit into this framework and construct new processes related
to minors of matrix valued diffusions. We also provide explicit formulae for
the transition densities of the particle systems with one-sided collisions at
either edge of such patterns.


title: On the Hourglass Model

abstract:
  The hourglass model is a widely used as a means of describing the design of
the Internet, and can be found in the introduction of many modern textbooks. It
arguably also applies to the design of other successful spanning layers,
notably the Unix operating system kernel interface, meaning the primitive
system calls and the interactions between user processes and the kernel. The
impressive success of the Internet has led to a wider interest in using the
hourglass model in other layered systems, with the goal of achieving similar
results. However, application of the hourglass model has often led to
controversy, perhaps in part because the language in which it has been
expressed has been informal, and arguments for its validity have not been
precise. Making a start on formalizing such an argument is the goal of this
paper.


title: Droplets of trapped quantum dipolar bosons

abstract:
  Strongly interacting systems of dipolar bosons in three dimensions confined
by harmonic traps are analyzed using the exact Path Integral Ground State Monte
Carlo method. By adding a repulsive two-body potential, we find a narrow window
of interaction parameters leading to stable ground- state configurations of
droplets in a crystalline arrangement. We find that this effect is entirely due
to the interaction present in the Hamiltonian without resorting to additional
stabilizing mechanisms or specific three-body forces. We analyze the number of
droplets formed in terms of the Hamiltonian parameters, relate them to the
corresponding s-wave scattering length, and discuss a simple scaling model for
the density profiles. Our results are in qualitative agreement with recent
experiments showing a quantum Rosensweig instability in trapped Dy atoms.


title:
Mapping class group dynamics and the holonomy of branched affine
  structures

abstract:
  We classify, up to few exceptions, the orbit closures of the
$\mathrm{Mod}(\Sigma)$-action on the affine character variety
$\chi(\mathrm{Aff}(\mathbb{C}))$. We obtain from this classification that the
only obstruction for a non-abelian representation $\rho : \pi_1 \Sigma
\longrightarrow \mathrm{Aff}(\mathbb{C})$ to be the holonomy of a branched
affine structure on $\Sigma$ is to be Euclidean and not to have positive
volume, where $\Sigma$ is a closed oriented surface of genus $g \geq 2$.


title:
A Cross-Entropy-based Method to Perform Information-based Feature
  Selection

abstract:
  From a machine learning point of view, identifying a subset of relevant
features from a real data set can be useful to improve the results achieved by
classification methods and to reduce their time and space complexity. To
achieve this goal, feature selection methods are usually employed. These
approaches assume that the data contains redundant or irrelevant attributes
that can be eliminated. In this work, we propose a novel algorithm to manage
the optimization problem that is at the foundation of the Mutual Information
feature selection methods. Furthermore, our novel approach is able to estimate
automatically the number of dimensions to retain. The quality of our method is
confirmed by the promising results achieved on standard real data sets.


title: A Sugiyama-like decoding algorithm for convolutional codes

abstract:
  We propose a decoding algorithm for a class of convolutional codes called
skew BCH convolutional codes. These are convolutional codes of designed Hamming
distance endowed with a cyclic structure yielding a left ideal of a
non-commutative ring (a quotient of a skew polynomial ring). In this setting,
right and left division algorithms exist, so our algorithm follows the
guidelines of the Sugiyama's procedure for finding the error locator and error
evaluator polynomials for BCH block codes.


title: A long chain of P-points

abstract:
  The notion of a $\delta$-generic sequence of P-points is introduced in this
paper. It is proved assuming the Continuum Hypothesis that for each $\delta <
{\omega}_{2}$, any $\delta$-generic sequence of P-points can be extended to an
${\omega}_{2}$-generic sequence. This shows that the Continuum Hypothesis
implies that there is a chain of P-points of length ${\mathfrak{c}}^{+}$ with
respect to both Rudin-Keisler and Tukey reducibility. The proofs can be easily
adapted to get such a chain of length ${\mathfrak{c}}^{+}$ under a more general
hypothesis like Martin's Axiom. These results answer an old question of Andreas
Blass.


title:
Compressed sensing in scanning tunneling microscopy/spectroscopy for
  observation of quasi-particle interference

abstract:
  We applied a method of compressed sensing to the observation of
quasi-particle interference (QPI) by scanning tunneling microscopy/spectroscopy
to improve efficiency and save measurement time. To solve an ill-posed problem
owing to the scarcity of data, the compressed sensing utilizes the sparseness
of QPI patterns in momentum space. We examined the performance of a
sparsity-inducing algorithm called least absolute shrinkage and selection
operator (LASSO), and demonstrated that LASSO enables us to recover a
double-circle QPI pattern of the Ag(111) surface from a dataset whose size is
less than that necessary for the conventional Fourier transformation method. In
addition, the smallest number of data required for the recovery is discussed on
the basis of cross validation.


title: Oxygen abundance maps of CALIFA galaxies

abstract:
  We construct maps of the oxygen abundance distribution across the disks of 88
galaxies using CALIFA data release 2 (DR2) spectra. The position of the center
of a galaxy (coordinates on the plate) were also taken from the CALIFA DR2. The
galaxy inclination, the position angle of the major axis, and the optical
radius were determined from the analysis of the surface brightnesses in the
SDSS $g$ and $r$ bands of the photometric maps of SDSS data release 9. We
explore the global azimuthal abundance asymmetry in the disks of the CALIFA
galaxies and the presence of a break in the radial oxygen abundance
distribution. We found that there is no significant global azimuthal asymmetry
for our sample of galaxies, i.e., the asymmetry is small, usually lower than
0.05 dex. The scatter in oxygen abundances around the abundance gradient has a
comparable value, $\lesssim 0.05$ dex. A significant (possibly dominant)
fraction of the asymmetry can be attributed to the uncertainties in the
geometrical parameters of these galaxies. There is evidence for a flattening of
the radial abundance gradient in the central part of 18 galaxies. We also
estimated the geometric parameters (coordinates of the center, the galaxy
inclination and the position angle of the major axis) of our galaxies from the
analysis of the abundance map. The photometry-map-based and the
abundance-map-based geometrical parameters are relatively close to each other
for the majority of the galaxies but the discrepancy is large for a few
galaxies with a flat radial abundance gradient.


title:
A phase-locked laser system based on modulation technique for atom
  interferometry

abstract:
  We demonstrate a Raman laser system based on phase modulation technology and
phase feedback control. The two laser beams with frequency difference of 6.835
GHz are modulated using electro-optic and acousto-optic modulators,
respectively. Parasitic frequency components produced by the electro-optic
modulator are filtered using a Fabry-Perot Etalon. A straightforward phase
feedback system restrains the phase noise induced by environmental
perturbations. The phase noise of the laser system stays below -125 rad2/Hz at
frequency offset higher than 500 kHz. Overall phase noise of the laser system
is evaluated by calculating the contribution of the phase noise to the
sensitivity limit of a gravimeter. The results reveal that the sensitivity
limited by the phase noise of our laser system is lower than that of a
state-of-art optical phase-lock loop scheme when a gravimeter operates at short
pulse duration, which makes the laser system a promising option for our future
application of atom interferometer.


title:
DNA-stabilized Ag-Au bimetallic clusters: The effects of alloying and
  embedding on optical properties

abstract:
  Global geometry optimization and time-dependent density functional theory
calculations have been used to study the structural evolution and optical
properties of (AgAu)n (n=2-6) nanoalloys both as individual clusters and as
clusters stabilized with the fragments of DNA of different size. We show that
alloying can be used to control and tune the level of interaction between the
metal atoms of the cluster and the organic fragments of the DNA ligands. For
instance, gold and silver atoms are shown to exhibit synergistic effects in the
process of charge transfer from the nucleobase to the cluster, with the silver
atoms directly connected to the nitrogen atoms of cytosine increasing their
positive partial charge, while their more electronegative neighbouring gold
atoms host the excess negative charge. This allows the geometrical structures
and optical absorption spectra of small bimetallic clusters to retain many of
their main features upon aggregation with relatively large DNA fragments, such
as a cytosine-based 9-nucleotide hairpin loop, which suggests a potential
synthetic route to such hybrid metal-organic compounds, and opens up the
possibility of bringing the unique tunable properties of bimetallic nanoalloys
to biological applications.


title: Semiample and k-ample vector bundles

abstract:
  We show that tensor products of semiample vector bundles are semiample. For
k-ampleness in the sens of Sommese, we show that over compact complex manifolds
tensor products of semiample and k-ample vector bundles are k-ample, and the
sum of k-ample vector bundles is k-ample. In particular results of Sommese on
k-ampleness are strenghtened.


title: Concavity of the Lagrangian Phase Operator and Applications

abstract:
  We study the Dirichlet problem for the Lagrangian phase operator, in both the
real and complex setting. Our main result states that if $\Omega$ is a compact
domain in $\mathbb{R}^{n}$ or $\mathbb{C}^n$, then there exists a solution to
the Dirichlet problem with right-hand side $h(x)$ satisfying $|h(x)| >
(n-2)\frac{\pi}{2}$ and boundary data $\phi$ if and only if there exists a
subsolution.


title: Higher-Order Factorization Machines

abstract:
  Factorization machines (FMs) are a supervised learning approach that can use
second-order feature combinations even when the data is very high-dimensional.
Unfortunately, despite increasing interest in FMs, there exists to date no
efficient training algorithm for higher-order FMs (HOFMs). In this paper, we
present the first generic yet efficient algorithms for training arbitrary-order
HOFMs. We also present new variants of HOFMs with shared parameters, which
greatly reduce model size and prediction times while maintaining similar
accuracy. We demonstrate the proposed approaches on four different link
prediction tasks.


title: Modeling of Ribosome Dynamics on a ds-mRNA under an External Load

abstract:
  Protein molecules in cells are synthesized by macromolecular machines called
ribosomes. According to recent experimental data, we reduce the complexity of
the ribosome and propose a model to express its activity in six main states.
Using our model, we study the translation rate in different biological relevant
situations in the presence of external force, and translation through the RNA
double stranded region in the absence or presence of the external force. In the
present study, we give a quantitative theory for translation rate and show that
the ribosome behaves more like a Brownian Ratchet motor. Our findings could
shed some light on understanding behaviors of the ribosome in biological
conditions.

categories: q-bio.SC cond-mat.soft physics.bio-ph q-bio.BM


title:
On the support of extremal martingale measures with given marginals: the
  countable case

abstract:
  We investigate the supports of extremal martingale measures with
pre-specified marginals in a two-period setting. First, we establish in full
generality the equivalence between the extremality of a given measure $Q$ and
the denseness in $L^1(Q)$ of a suitable linear subspace, which can be seen in a
financial context as the set of all semi-static trading strategies. Moreover,
when the supports of both marginals are countable, we focus on the slightly
stronger notion of weak exact predictable representation property (henceforth,
WEP) and provide two combinatorial sufficient conditions, called "2-link
property" and "full erasability", on how the points in the supports are linked
to each other for granting extremality. When the support of the first marginal
is a finite set, we give a necessary and sufficient condition for the WEP to
hold in terms of the new concepts of $2$-net and deadlock. Finally, we study
the relation between cycles and extremality.


title: Collimating Slicer for Optical Integral Field Spectroscopy

abstract:
  Integral Field Spectroscopy (IFS) is a technique that gives simultaneously
the spectrum of each spatial sampling element in a given object field. It is a
powerful tool which rearranges the data cube (x, y, lambda) represented by two
spatial dimensions defining the field and the spectral decomposition in a
detector plane. In IFS, the spatial unit reorganizes the field and the spectral
unit is being composed of a classical spectrograph.The development of a
Collimating Slicer aims at proposing a new type of integral field spectrograph
which should be more compact. The main idea is to combine the image slicer with
the collimator of the spectrograph, thus mixing the spatial and spectral units.
The traditional combination of slicer, pupil and slit elements and the
spectrograph collimator is replaced by a new one composed of a slicer and
collimator only. In this paper, the state of the art of integral field
spectroscopy using image slicers is described. The new system based onto the
development of a Collimating Slicer for optical integral field spectroscopy is
depicted. First system analysis results and future improvements are discussed.
It finally turns out that this new system looks very promising for low
resolution spectroscopy.


title:
A splitting of the local rigidity of Clifford-Klein forms of homogeneous
  spaces of completely solvable Lie groups

abstract:
  In this article, we discuss the local rigidity of Clifford-Klein forms of
homogeneous spaces of 1-connected completely solvable Lie groups. In fact, we
introduce a splitting of the local rigidity: vertical rigidity and horizontal
rigidity. By using this splitting, we refine some existing results about the
local rigidity and introduce a new approach to Baklouti's conjecture about the
local rigidity.


title: Approximating Multicut and the Demand Graph

abstract:
  In the minimum Multicut problem, the input is an edge-weighted supply graph
$G=(V,E)$ and a simple demand graph $H=(V,F)$. Either $G$ and $H$ are directed
(DMulC) or both are undirected (UMulC). The goal is to remove a minimum weight
set of edges in $G$ such that there is no path from $s$ to $t$ in the remaining
graph for any $(s,t) \in F$. UMulC admits an $O(\log k)$-approximation where
$k$ is the vertex cover size of $H$ while the best known approximation for
DMulC is $\min\{k, \tilde{O}(n^{11/23})\}$. These approximations are obtained
by proving corresponding results on the multicommodity flow-cut gap. In
contrast to these results some special cases of Multicut, such as the
well-studied Multiway Cut problem, admit a constant factor approximation in
both undirected and directed graphs. Motivated by both concrete instances from
applications and abstract considerations, we consider the role that the
structure of the demand graph $H$ plays in determining the approximability of
Multicut.
  In undirected graphs our main result is a $2$-approximation in $n^{O(t)}$
time when the demand graph $H$ excludes an induced matching of size $t$. This
gives a constant factor approximation for a specific demand graph that
motivated this work.
  In contrast to undirected graphs, we prove that in directed graphs such
approximation algorithms can not exist. Assuming the Unique Games Conjecture
(UGC), for a large class of fixed demand graphs DMulC cannot be approximated to
a factor better than worst-case flow-cut gap. As a consequence we prove that
for any fixed $k$, assuming UGC, DMulC with $k$ demand pairs is hard to
approximate to within a factor better than $k$. On the positive side, we prove
an approximation of $k$ when the demand graph excludes certain graphs as an
induced subgraph. This generalizes the Multiway Cut result to a much larger
class of demand graphs.


title:
Magnetic-field effects on photon-induced quantum transport in a single
  dot-cavity system

abstract:
  In this study, we show how a static magnetic field can control photon-induced
electron transport through a quantum dot system coupled to a photon cavity. The
quantum dot system is connected to two electron reservoirs and exposed to an
external perpendicular static magnetic field. The propagation of electrons
through the system is thus influenced by the static magnetic and the dynamic
photon fields. It is observed that the photon cavity forms photon replica
states controlling electron transport in the system. IF the photon field has
more energy than the cyclotron energy, then the photon field is dominant in the
electron transport. Consequently, the electron transport is enhanced due to
activation of photon replica states. By contrast, the electron transport is
suppressed in the system when the photon energy is smaller than the cyclotron
energy.


title: A dimensional restriction for a class of contact manifolds

abstract:
  In this work we consider a class of contact manifolds $(M,\eta)$ with an
associated almost contact metric structure $(\phi, \xi, \eta,g)$. This class
contains, for example, nearly cosymplectic manifolds and the manifolds in the
class $C_9\oplus C_{10}$ defined by Chinea and Gonzalez.
  All manifolds in the class considered turn out to have dimension $4n+1$.
Under the assumption that the sectional curvature of the horizontal $2$-planes
is constant at one point, we obtain that these manifolds must have dimension
$5$.


title:
Laplace based approximate posterior inference for differential equation
  models

abstract:
  Ordinary differential equations are arguably the most popular and useful
mathematical tool for describing physical and biological processes in the real
world. Often, these physical and biological processes are observed with errors,
in which case the most natural way to model such data is via regression where
the mean function is defined by an ordinary differential equation believed to
provide an understanding of the underlying process. These regression based
dynamical models are called differential equation models. Parameter inference
from differential equation models poses computational challenges mainly due to
the fact that analytic solutions to most differential equations are not
available. In this paper, we propose an approximation method for obtaining the
posterior distribution of parameters in differential equation models. The
approximation is done in two steps. In the first step, the solution of a
differential equation is approximated by the general one-step method which is a
class of numerical methods for ordinary differential equations including the
Euler and the Runge-Kutta procedures; in the second step, nuisance parameters
are marginalized using Laplace approximation. The proposed Laplace approximated
posterior gives a computationally fast alternative to the full Bayesian
computational scheme (such as Markov Chain Monte Carlo) and produces more
accurate and stable estimators than the popular smoothing methods (called
collocation methods) based on frequentist procedures. For a theoretical support
of the proposed method, we prove that the Laplace approximated posterior
converges to the actual posterior under certain conditions and analyze the
relation between the order of numerical error and its Laplace approximation.
The proposed method is tested on simulated data sets and compared with the
other existing methods.


title: An algorithmic regularity lemma for $L_p$ regular sparse matrices

abstract:
  We prove an algorithmic regularity lemma for $L_p$ regular matrices $(1 < p
\leq \infty),$ a class of sparse $\{0,1\}$ matrices which obey a natural
pseudorandomness condition. This extends a result of Coja-Oghlan, Cooper and
Frieze who treated the case of $L_{\infty}$ regular matrices. We also present
applications of this result for tensors and MAX-CSP instances.


title: Commutators of trace zero matrices over principal ideal rings

abstract:
  We prove that for every trace zero matrix $A$ over a principal ideal ring
$R$, there exist trace zero matrices $X,Y$ over $R$ such that $XY-YX=A$.
Moreover, we show that $X$ can be taken to be regular mod every maximal ideal
of $R$. This strengthens our earlier result that $A$ is a commutator of two
matrices (not necessarily of trace zero), and in addition, the present proof is
significantly simpler than the earlier one.
  Shalev has conjectured an analogous statement for group commutators in
$\mathrm{SL}_{n}$ over $p$-adic integers. We prove Shalev's conjecture for
$n=2$.


title:
Time-dependent shock acceleration of particles. Effect of the
  time-dependent injection, with application to supernova remnants

abstract:
  Three approaches are considered to solve the equation which describes the
time-dependent diffusive shock acceleration of test particles at the
non-relativistic shocks. At first, the solution of Drury (1983) for the
particle distribution function at the shock is generalized to any relation
between the acceleration time-scales upstream and downstream and for the
time-dependent injection efficiency. Three alternative solutions for the
spatial dependence of the distribution function are derived. Then, the two
other approaches to solve the time-dependent equation are presented, one of
which does not require the Laplace transform. At the end, our more general
solution is discussed, with a particular attention to the time-dependent
injection in supernova remnants. It is shown that, comparing to the case with
the dominant upstream acceleration time-scale, the maximum momentum of
accelerated particles shifts toward the smaller momenta with increase of the
downstream acceleration time-scale. The time-dependent injection affects the
shape of the particle spectrum. In particular, i) the power-law index is not
solely determined by the shock compression, in contrast to the stationary
solution; ii) the larger the injection efficiency during the first decades
after the supernova explosion, the harder the particle spectrum around the
high-energy cutoff at the later times. This is important, in particular, for
interpretation of the radio and gamma-ray observations of supernova remnants,
as demonstrated on a number of examples.


title: Higgs bundles and fundamental group schemes

abstract:
  Relying on a notion of "numerical effectiveness" for Higgs bundles, we show
that the category of "numerically flat" Higgs vector bundles on a smooth
projective variety $X$ is a Tannakian category. We introduce the associated
group scheme, that we call the "Higgs fundamental group scheme of $X$," and
show that its properties are related to a conjecture about the vanishing of the
Chern classes of numerically flat Higgs vector bundles.


title:
N-dimensional Auto-B\"acklund Transformation and Exact Solutions to
  n-dimensional Burgers System

abstract:
  N-dimensional B\"acklund transformation (BT), Cole-Hopf transformation and
Auto-B\"acklund transformation (Auto-BT) of n-dimensional Burgers system are
derived by using simplified homogeneous balance (SHB). By the Auto-BT, another
solution of the n-dimensional Burgers system can be obtained provided that a
particular solution of the Burgers system is given. Since the particular
solution of n-dimensional Burgers system can be given easily by the Cole-Hopf
transformation, then using the Auto-BT repeatedly, more solutions of
n-dimensional Burgers system can be obtained successively


title:
Short-term Forecasting of Price-responsive Loads Using Inverse
  Optimization

abstract:
  We consider the problem of forecasting the aggregate demand of a pool of
price-responsive consumers of electricity. The price-response of the
aggregation is modeled by an optimization problem that is characterized by a
set of marginal utility curves and minimum and maximum power consumption
limits. The task of estimating these parameters is addressed using a
generalized inverse optimization scheme that, in turn, requires solving a
nonconvex mathematical program. We introduce a solution method that overcomes
the nonconvexities by solving instead two linear problems with a penalty term,
which is statistically adjusted by using a cross-validation algorithm. The
proposed methodology is data-driven and leverages information from regressors,
such as time and weather variables, to account for changes in the parameter
estimates. The power load of a group of heating, ventilation, and air
conditioning systems in buildings is simulated, and the results show that the
aggregate demand of the group can be successfully captured by the proposed
model, making it suitable for short-term forecasting purposes.


title: Signatures of nonclassical effects in optical tomograms

abstract:
  Several nonclassical effects displayed by wave packets subject to generic
nonlinear Hamiltonians can be identified and assessed directly from tomograms
without attempting to reconstruct the Wigner function or the density matrix
explicitly. We have demonstrated this for both single-mode and bipartite
systems. We have shown that a wide spectrum of effects such as the revival
phenomena, quadrature squeezing and Hong-Mandel and Hillery type higher-order
squeezing in both the single-mode system and the double-well Bose-Einstein
condensate can be obtained from appropriate tomograms in a straightforward
manner. We have investigated entropic squeezing of the subsystem state of a
bipartite system as it evolves in time, solely from tomograms. Further we have
identified a quantifier of the extent of entanglement between subsystems which
can be readily obtained from the tomogram and which mirrors the qualitative
behavior of other measures of entanglement such as the subsystem von Neumann
entropy and the subsystem linear entropy. The procedures that we have
demonstrated can be readily adapted to multimode systems.


title: On the reduced dynamics of a subset of interacting bosonic particles

abstract:
  The quantum dynamics of a subset of interacting bosons in a subspace of fixed
particle number is described in terms of symmetrized many-particle states. A
suitable partial trace operation over the von Neumann equation of an
$N$-particle system produces a hierarchical expansion for the subdynamics of
$M\leq N$ particles. Truncating this hierarchy with a pure product state ansatz
yields the general, nonlinear coherent mean-field equation of motion. In the
special case of a contact interaction potential, this reproduces the
Gross-Pitaevskii equation. To account for incoherent effects on top of the
mean-field evolution, we discuss possible extensions towards a second-order
perturbation theory that accounts for interaction-induced decoherence in form
of a nonlinear Lindblad-type master equation.


title: Continuant Diophantine equations

abstract:
  We investigate a family of Diophantine polynomial equations which involve
continuant functions. In particular, given a polynomial $P(x)\in \mathbb{Z}[x]$
and $n\in \mathbb{N}$, we consider the equation $P(K_n(x_1,\ldots, x_n)) =
K_{n+1}(x_0,\ldots,x_n)K_{n+1}(x_1,\ldots, x_{n+1})$. We show that with certain
restrictions on $P(x)$ the set of its solutions has a rich structure. In
particular, we provide several ways of generating new solutions from the
existing ones.
  In the last section we discuss the relation between the solutions of the
above Diophantine equation for arbitrary values of $n$ and factorisations $P(m)
= d_1d_2$ for integers $m,d_1$ and $d_2$.


title: A transcendental approach to injectivity theorem for log canonical pairs

abstract:
  In this paper, we study transcendental aspects of the cohomology groups of
adjoint bundles of log canonical pairs, aiming to establish an analytic theory
for log canonical singularities. As a result, in the case of purely log
terminal pairs, we give an analytic proof of the injectivity theorem originally
proved by the Hodge theory. Our method is based on the theory of harmonic
integrals and the L2-method for the dbar-equation, and it enables us to
generalize the injectivity theorem to the complex analytic setting.


title:
Galois module structure of the square root of the inverse different over
  maximal orders

abstract:
  Let $K$ be a number field with ring of integers $\mathcal{O}_K$ and let $G$
be a \mbox{finite group of} odd order. Given a $G$-Galois $K$-algebra $K_h$,
let $A_h$ be the square root of the inverse different of $K_h/K$, which exists
by Hilbert's formula. If $K_h/K$ is weakly ramified, then $A_h$ is locally free
over $\mathcal{O}_{K}G$ by a result of B. Erez, in which case it determines a
class in the locally free class group $\mbox{Cl}(\mathcal{O}_KG)$ of
$\mathcal{O}_KG$. Such a class in $\mbox{Cl}(\mathcal{O}_KG)$ is said to be
$A$-realizable, and tame $A$-realizable if $K_h/K$ is tame. Let
$\mathcal{A}(\mathcal{O}_KG)$ and $\mathcal{A}^t(\mathcal{O}_KG)$ denote the
sets of all $A$-realizable classes and tame $A$-realizable classes,
respectively. For $G$ abelian, we will show that the two sets
$\mathcal{A}(\mathcal{O}_KG)$ and $\mathcal{A}^t(\mathcal{O}_KG)$ are equal
when extended scalars to the maximal order in $KG$.


title: DeepWarp: Photorealistic Image Resynthesis for Gaze Manipulation

abstract:
  In this work, we consider the task of generating highly-realistic images of a
given face with a redirected gaze. We treat this problem as a specific instance
of conditional image generation and suggest a new deep architecture that can
handle this task very well as revealed by numerical comparison with prior art
and a user study. Our deep architecture performs coarse-to-fine warping with an
additional intensity correction of individual pixels. All these operations are
performed in a feed-forward manner, and the parameters associated with
different operations are learned jointly in the end-to-end fashion. After
learning, the resulting neural network can synthesize images with manipulated
gaze, while the redirection angle can be selected arbitrarily from a certain
range and provided as an input to the network.


title: Temporal Model Adaptation for Person Re-Identification

abstract:
  Person re-identification is an open and challenging problem in computer
vision. Majority of the efforts have been spent either to design the best
feature representation or to learn the optimal matching metric. Most approaches
have neglected the problem of adapting the selected features or the learned
model over time. To address such a problem, we propose a temporal model
adaptation scheme with human in the loop. We first introduce a
similarity-dissimilarity learning method which can be trained in an incremental
fashion by means of a stochastic alternating directions methods of multipliers
optimization procedure. Then, to achieve temporal adaptation with limited human
effort, we exploit a graph-based approach to present the user only the most
informative probe-gallery matches that should be used to update the model.
Results on three datasets have shown that our approach performs on par or even
better than state-of-the-art approaches while reducing the manual pairwise
labeling effort by about 80%.


title: Improved Numerical Generalization of Bethe- Weizsacker Mass Formula

abstract:
  In this paper is presented explicit improved numerical generalization of
Bethe-Weizsacker mass formulae which describes the values of measured 2654
nuclear mass in AME2012 nuclear database with accuracy less than 2.2 MeV,
starting from the number of protons Z=1 and number of neutrons N=1. In the
obtained generazation of the Bethe-Weizsacker formula the influence of magic
numbers and boundaries of their influence between them is defined for nine
proton (2, 8, 14, 20, 28, 50, 82, 108, 124) and ten neutron (2, 8, 14, 20, 28,
50, 82, 124, 152, 202) magic numbers.


title: Site recurrence of open and unitary quantum walks on the line

abstract:
  We study the problem of site recurrence of discrete time nearest neighbor
open quantum random walks (OQWs) on the integer line, proving basic properties
and some of its relations with the corresponding problem for unitary (coined)
quantum walks (UQWs). For both kinds of walks our discussion concerns two
notions of recurrence, one given by a monitoring procedure, another in terms of
P\'olya numbers, and we study their similarities and differences. In
particular, by considering UQWs and OQWs induced by the same pair of matrices,
we discuss the fact that recurrence of these walks are related by an additive
interference term in a simple way. Based on a previous result of positive
recurrence we describe an open quantum version of Kac's lemma for the expected
return time to a site.


title: Comparison results for nonlinear anisotropic parabolic problems

abstract:
  Comparison results for solutions to the Dirichlet problems for a class of
nonlinear, anisotropic parabolic equations are established. These results are
obtained through a semi-discretization method in time after providing estimates
for solutions to anisotropic elliptic problems with zero-order terms.


title:
Local- and Holistic- Structure Preserving Image Super Resolution via
  Deep Joint Component Learning

abstract:
  Recently, machine learning based single image super resolution (SR)
approaches focus on jointly learning representations for high-resolution (HR)
and low-resolution (LR) image patch pairs to improve the quality of the
super-resolved images. However, due to treat all image pixels equally without
considering the salient structures, these approaches usually fail to produce
visual pleasant images with sharp edges and fine details. To address this
issue, in this work we present a new novel SR approach, which replaces the main
building blocks of the classical interpolation pipeline by a flexible,
content-adaptive deep neural networks. In particular, two well-designed
structure-aware components, respectively capturing local- and holistic- image
contents, are naturally incorporated into the fully-convolutional
representation learning to enhance the image sharpness and naturalness.
Extensively evaluations on several standard benchmarks (e.g., Set5, Set14 and
BSD200) demonstrate that our approach can achieve superior results, especially
on the image with salient structures, over many existing state-of-the-art SR
methods under both quantitative and qualitative measures.


title:
Maximum-norm error analysis of compact difference schemes for the
  backward fractional Feynman-Kac equation

abstract:
  The fractional Feynman-Kac equations describe the distribution of functionals
of non-Brownian motion, or anomalous diffusion, including two types called the
forward and backward fractional Feynman-Kac equations, where the fractional
substantial derivative is involved. This paper focuses on the more widely used
backward version. Based on the discretized schemes for fractional substantial
derivatives proposed recently, we construct compact finite difference schemes
for the backward fractional Feynman-Kac equation, which has q-th (q=1, 2, 3, 4)
order accuracy in temporal direction and fourth order accuracy in spatial
direction, respectively. In the case q=1, the numerical stability and
convergence of the difference scheme in the discrete L-infinity norm are proved
strictly, where a new inner product is defined for the theoretical analysis.
Finally, numerical examples are provided to verify the effectiveness and
accuracy of the algorithms.


title: Quasi-Integrability in Supersymmetric Sine-Gordon Models

abstract:
  The deformed supersymmetric sine-Gordon model, obtained through known
deformation of the corresponding potential, is found to be quasi-integrable,
like its non-supersymmetric counterpart, which was observed earlier. The system
expectedly possesses finite number of conserved quantities, leaving-out an
infinite number of non-conserved anomalous charges. The quasi-integrability of
this supersymmetric model heavily rely on the boundary conditions of the
potential, otherwise rendered to be completely non-integrable. Moreover,
interesting additional algebraic structures appear, absent in the
non-supersymmetric counterparts.


title: Nonincreasing depth functions of monomial ideals

abstract:
  Given a nonincreasing function $f : \mathbb{Z}_{\geq 0} \setminus \{ 0 \} \to
\mathbb{Z}_{\geq 0}$ such that (i) $f(k) - f(k+1) \leq 1$ for all $k \geq 1$
and (ii) if $a = f(1)$ and $b = \lim_{k \to \infty} f(k)$, then $|f^{-1}(a)|
\leq |f^{-1}(a-1)| \leq \cdots \leq |f^{-1}(b+1)|$, a system of generators of a
monomial ideal $I \subset K[x_1, \ldots, x_n]$ for which ${\rm depth} S/I^k =
f(k)$ for all $k \geq 1$ is explicitly described. Furthermore, we give a
characterization of triplets of integers $(n,d,r)$ with $n > 0$, $d \geq 0$ and
$r > 0$ with the properties that there exists a monomial ideal $I \subset S =
K[x_1, \ldots, x_n]$ for which $\lim_{k \to \infty} {\rm depth} S/I^k = d$ and
${\rm dstab}(I) = r$, where ${\rm dstab}(I)$ is the smallest integer $k_0 \geq
1$ with ${\rm depth} S/I^{k_0} = {\rm depth} S/I^{k_0+1} = {\rm depth}
S/I^{k_0+2} = \cdots$.


title: A conformal bootstrap approach to critical percolation in two dimensions

abstract:
  We study four-point functions of critical percolation in two dimensions, and
more generally of the Potts model. We propose an exact ansatz for the spectrum:
an infinite, discrete and non-diagonal combination of representations of the
Virasoro algebra. Based on this ansatz, we compute four-point functions using a
numerical conformal bootstrap approach. The results agree with Monte-Carlo
computations of connectivities of random clusters.

categories: hep-th cond-mat.stat-mech math-ph math.MP


title:
Constrained DFT+$U$ approach for understanding the magnetic behaviour of
  ACr$_{2}$O$_{4}$ (A=Zn, Mg, Cd and Hg) compounds

abstract:
  In this work, we try to understand the inconsistency reported by [Yaresko,
Phys. Rev. B. {\bf 77}, 115106 (2008)] in the theoretically estimated nature
and the variation of magnitude of nearest neighbour exchange coupling constant
($\arrowvert${\it J$_{1}$}$\arrowvert$) with increasing $U$ in ACr$_{2}$O$_{4}$
(A=Zn, Cd, Mg and Hg) compounds by using density functional theory. In
unconstrained calculations, the nature and variation of $\arrowvert${\it
J$_{1}$}$\arrowvert$ as a function of $U$ in the present study are not
consistent with the experimental data and not according to the relation, {\it
J$_{1}$}$\propto$$\frac{t^{2}}{U}$ especially for CdCr$_{2}$O$_{4}$ and
HgCr$_{2}$O$_{4}$ for $U >$3 eV and U=2-6 eV, respectively. Such an
inconsistent behavior of $\arrowvert${\it J$_{1}$}$\arrowvert$ is almost
similar to that of Yaresko for these two compounds for $U$=2-4 eV. For
ZnCr$_{2}$O$_{4}$ and MgCr$_{2}$O$_{4}$, the nature and the variation of
$\arrowvert${\it J$_{1}$}$\arrowvert$ in the present work are in accordance
with the experimental data and above mentioned relation for $U$=2-6 eV and are
similar to that of Yaresko for ZnCr$_{2}$O$_{4}$ for $U$=2-4 eV. However, in
constrained calculations the nature and variation of $\arrowvert${\it
J$_{1}$}$_{c}$$\arrowvert$ in the present work are according to experimental
data and above above mentioned relation for all four compounds. Hence, the
present study shows the importance of constrained calculations in understanding
the magnetic behaviour of these spinels. The values of magnitude of Curie-Weiss
temperature [$\arrowvert$($\varTheta$$_{CW}$)$_{c}$$\arrowvert$] for
ZnCr$_{2}$O$_{4}$$>$MgCr$_{2}$O$_{4}$$>$CdCr$_{2}$O$_{4}$$>$HgCr$_{2}$O$_{4}$
for $U$=2-5 eV, which are according to the order of experimentally observed
values for these spinels.


title:
Uncertainty Limits on Solutions of Inverse Problems over Multiple Orders
  of Magnitude using Bootstrap Methods: An Astroparticle Physics Example

abstract:
  Astroparticle experiments such as IceCube or MAGIC require a deconvolution of
their measured data with respect to the response function of the detector to
provide the distributions of interest, e.g. energy spectra. In this paper,
appropriate uncertainty limits that also allow to draw conclusions on the
geometric shape of the underlying distribution are determined using bootstrap
methods, which are frequently applied in statistical applications. Bootstrap is
a collective term for resampling methods that can be employed to approximate
unknown probability distributions or features thereof. A clear advantage of
bootstrap methods is their wide range of applicability. For instance, they
yield reliable results, even if the usual normality assumption is violated.
  The use, meaning and construction of uncertainty limits to any user-specific
confidence level in the form of confidence intervals and levels are discussed.
The precise algorithms for the implementation of these methods, applicable for
any deconvolution algorithm, are given. The proposed methods are applied to
Monte Carlo simulations to show their feasibility and their precision in
comparison to the statistical uncertainties calculated with the deconvolution
software TRUEE.


title: Training telescope operators and support astronomers at Paranal

abstract:
  The operations model of the Paranal Observatory relies on the work of
efficient staff to carry out all the daytime and nighttime tasks. This is
highly dependent on adequate training. The Paranal Science Operations
department (PSO) has a training group that devises a well-defined and
continuously evolving training plan for new staff, in addition to broadening
and reinforcing courses for the whole department. This paper presents the
training activities for and by PSO, including recent astronomical and quality
control training for operators, as well as adaptive optics and interferometry
training of all staff. We also present some future plans.


title: Determination of the real part of the {\eta}'-Nb optical potential

abstract:
  The excitation function and momentum distribution of {\eta}' mesons have been
measured in photoproduction off 93^Nb in the energy range of 1.2-2.9 GeV. The
experiment has been performed with the combined Crystal Barrel and MiniTAPS
detector system, using tagged photon beams from the ELSA electron accelerator.
Information on the sign and magnitude of the real part of the {\eta}'-Nb
potential has been extracted from a comparison of the data with model
calculations. An attractive potential of -(41 \pm 10(stat) \pm 15(syst)) MeV
depth at normal nuclear matter density is deduced within model uncertainties.
This value is consistent with the potential depth of -(37 \pm 10(stat) \pm
10(syst)) MeV obtained in an earlier measurement for a light nucleus (carbon).
This relatively shallow {\eta}'-nucleus potential will make the search for
{\eta}'-nucleus bound states more difficult.


title:
Dynamical properties of endomorphisms, multiresolutions, similarity-and
  orthogonality relations

abstract:
  We study positive transfer operators $R$ in the setting of general measure
spaces $\left(X,\mathscr{B}\right)$. For each $R$, we compute associated
path-space probability spaces $\left(\Omega,\mathbb{P}\right)$. When the
transfer operator $R$ is compatible with an endomorphism in
$\left(X,\mathscr{B}\right)$, we get associated multiresolutions for the
Hilbert spaces $L^{2}\left(\Omega,\mathbb{P}\right)$ where the path-space
$\Omega$ may then be taken to be a solenoid. Our multiresolutions include both
orthogonality relations and self-similarity algorithms for standard wavelets
and for generalized wavelet-resolutions. Applications are given to topological
dynamics, ergodic theory, and spectral theory, in general; to iterated function
systems (IFSs), and to Markov chains in particular.


title:
Numerical simulations of gas mixing effect in Electron Cyclotron
  Resonance Ion Sources

abstract:
  The particle-in-cell MCC code NAM-ECRIS is used to simulate the ECRIS plasma
sustained in a mixture of Kr with O2, N2, Ar, Ne and He. The model assumes that
ions are electrostatically confined in ECR zone by a dip in the plasma
potential. Gain in the extracted krypton ion currents is seen for the highest
charge states; the gain is maximized when oxygen is used as the mixing gas. A
special feature of oxygen is that most of singly charged oxygen ions are
produced after dissociative ionization of oxygen molecules with the large
kinetic energy release of around 5 eV per ion. Increased loss rate of energetic
lowly charged ions of the mixing element requires building up of the retarding
potential barrier close to ECR surface to equilibrate electron and ion losses
out of the plasma. In the mixed plasmas, the barrier value is large (~1 V)
compared to the pure Kr plasma (~0.01 V), with the longer confinement times of
krypton ions and with the much higher ion temperatures.


title: An interferometric view of binary stars

abstract:
  The study of binary stars is critical to apprehend many of the most
interesting classes of stars. Moreover, quite often, the study of stars in
binary systems is our only mean to constrain stellar properties, such as masses
and radii. Unfortunately, a great fraction of the most interesting binaries are
so compact that they can only be apprehended by high-resolution techniques,
mostly by interferometry. I present some results highlighting the use of
interferometry in the study of binary stars, from finding companions and
deriving orbits, determining the mass and radius of stars, to studying mass
transfer in symbiotic stars, and tackling luminous blue variables. In
particular, I show how interferometric studies using the PIONIER instrument
have allowed us to confirm a dichotomy within symbiotic stars, obtain masses of
stars with a precision better than 1%, and help us find a new Eta Carinae-like
system. I will also illustrate the benefits for the study of binary stars one
would get from upgrading the VLT Interferometer so as to be able to observe in
the visible range.


title:
Completeness of projective special K\"ahler and quaternionic K\"ahler
  manifolds

abstract:
  We prove that every projective special K\"ahler manifold with \emph{regular
boundary behaviour} is complete and defines a family of complete quaternionic
K\"ahler manifolds depending on a parameter $c\ge 0$. We also show that,
irrespective of its boundary behaviour, every complete projective special
K\"ahler manifold with \emph{cubic prepotential} gives rise to such a family.
Examples include non-trivial deformations of non-compact symmetric quaternionic
K\"ahler manifolds.


title:
Enhancement of Terahertz Photoconductive Antennas and Photomixers
  Operation by Optical Nanoantennas

abstract:
  Photoconductive antennas and photomixers are very promising sources of
terahertz radiation that is widely used for spectroscopy, characterisation and
imaging of biological objects, deep space studies, scanning of surfaces and
detection of potentially hazardous substances. These antennas are compact and
allow generation of both ultrabroadband pulse and tunable continuous wave
terahertz signal at room temperatures, without a need of high-power optical
sources. However, such antennas have relatively low energy conversion
efficiency of femtosecond laser pulses or two close pump wavelengths
(photomixer) into the pulsed and continuous terahertz radiation,
correspondingly. Recently, an approach to solving this problem has been
proposed, that involves known methods of nanophotonics applied to terahertz
photoconductive antennas and photomixers. This approach comprises the use of
optical nanoantennas for enhancing the efficiency of pump laser radiation
absorption in the antenna gap, reducing the lifetime of photoexcited carriers,
and improving antenna thermal efficiency. This Review is intended to
systematise all the results obtained by researchers in this promising field of
hybrid optical-to-terahertz photoconductive antennas and photomixers.


title:
Doubly Massive mmWave MIMO Systems: Using Very Large Antenna Arrays at
  Both Transmitter and Receiver

abstract:
  One of the key features of next generation wireless communication systems
will be the use of frequencies in the range 10-100GHz (aka mmWave band) in
densely populated indoor and outdoor scenarios. Due to the reduced wavelength,
antenna arrays with a large number of antennas can be packed in very small
volumes, making thus it possible to consider, at least in principle,
communication links wherein not only the base-station, but also the user
device, are equipped with very large antenna arrays. We denote this
configuration as a "doubly-massive" MIMO wireless link. This paper introduces
the concept of doubly massive MIMO systems at mmWave, showing that at mmWave
the fundamentals of the massive MIMO regime are completely different from what
happens at conventional sub-6 GHz cellular frequencies. It is shown for
instance that the multiplexing capabilities of the channel and its rank are no
longer ruled by the number of transmit and receive antennas, but rather by the
number of scattering clusters in the surrounding environment. The implications
of the doubly massive MIMO regime on the transceiver processing, on the system
energy efficiency and on the system throughput are also discussed.


title:
On a two-valued sequence and related continued fractions in power series
  fields

abstract:
  We explicitly describe a noteworthy transcendental continued fraction in the
field of power series over Q, having irrationality measure equal to 3. This
continued fraction is a generating function of a particular sequence in the set
{1, 2}. The origin of this sequence, whose study was initiated in a recent
paper, is to be found in another continued fraction, in the field of power
series over $\mathbb{F}\_3$, which satisfies a simple algebraic equation of
degree 4, introduced thirty years ago by D. Robbins.


title:
Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number
  Violations and Leptogenesis

abstract:
  In a recent review Mohapatra has discussed how type-I seesaw mechanism
suppressed by fine tuning of Yukawa couplings, or specific textures of
associated fermion mass matrices, can form the basis of neutrino masses in TeV
scale $W_R$ boson models. In this paper we review recent works in another class
of theories where the added presence of fermion singlets manifesting as sterile
neutrinos render the type-I seesaw contribution vanishing but extended seesaw
dominant where the light neutrino mass formula is same as the classic inverse
seesaw but all massive neutrinos are Majorana fermions. We also show domunance
of linear seesaw, or double seesaw, or type-II seesaw in due to cancellation of
type-I seesaw. Embeddings of this mechnism in supersymmetric as well as
non-supersymmetric SO(10) with low or intermediate masses of $W_R$ or $Z_R$
bosons are discussed. We also discuss how this cancellation criteria has led to
a new mechanism of type-II seesaw dominance which permits $U(1)_{B-L}$ breaking
scale much smaller than the left-handed triplet mass. Out of a number of new
observable predictions, the most visible ones are the dominant contribution to
LFV decays and neutrinoless double beta decay mediated by light sterile
neutrinos in the $W_L-W_L$ channel. These seesaw dominance mechanisms are
applicable in the extensions of the SM and high, intermediate, or low scale
left-right gauge theories with or without their SO(10) origin. Other recent
works on the applications of this mechanism covering dark matter and
leptogenesis are noted..


title:
Regaining the FORS: making optical ground-based transmission
  spectroscopy of exoplanets with VLT+FORS2 possible again

abstract:
  Transmission spectroscopy facilitates the detection of molecules and/or
clouds in the atmospheres of exoplanets. Such studies rely heavily on
space-based or large ground-based observatories, as one needs to perform time-
resolved, high signal-to-noise spectroscopy. The FORS2 instrument at ESO's Very
Large Telescope is the obvious choice for performing such studies, and was
indeed pioneering the field in 2010. After that, however, it was shown to
suffer from systematic errors caused by the Longitudinal Atmospheric Dispersion
Corrector (LADC). This was successfully addressed, leading to a renewed
interest for this instrument as shown by the number of proposals submitted to
perform transmission spectroscopy of exoplanets. We present here the context,
the problem and how we solved it, as well as the recent results obtained. We
finish by providing tips for an optimum strategy to do transmission
spectroscopy with FORS2, in the hope that FORS2 may become the instrument of
choice for ground-based transmission spectroscopy of exoplanets.

categories: astro-ph.IM astro-ph.EP astro-ph.SR physics.ins-det


title:
Interpolation process between standard diffusion and fractional
  diffusion

abstract:
  We consider a Hamiltonian lattice field model with two conserved quantities,
energy and volume, perturbed by stochastic noise preserving the two previous
quantities. It is known that this model displays anomalous diffusion of energy
of fractional type due to the conservation of the volume [5, 3]. We superpose
to this system a second stochastic noise conserving energy but not volume. If
the intensity of this noise is of order one, normal diffusion of energy is
restored while it is without effect if intensity is sufficiently small. In this
paper we investigate the nature of the energy fluctuations for a critical value
of the intensity. We show that the latter are described by an
Ornstein-Uhlenbeck process driven by a L\'evy process which interpolates
between Brownian motion and the maximally asymmetric 3/2-stable L\'evy process.
This result extends and solves a problem left open in [4].

categories: math.PR cond-mat.stat-mech math-ph math.MP


title: Quantum-Matter Heterostructures

abstract:
  Combining the power and possibilities of heterostructure engineering with the
collective and emergent properties of quantum materials, quantum-matter
heterostructures open a new arena of solid-state physics. Here we provide a
review of interfaces and heterostructures made of quantum matter. Unique
electronic states can be engineered in these structures, giving rise to
unforeseeable opportunities for scientific discovery and potential
applications. We discuss the present status of this nascent field of
quantum-matter heterostructures, its limitations, perspectives, and challenges.


title:
Zeta-determinants of Sturm-Liouville operators with quadratic potentials
  at infinity

abstract:
  We consider Sturm-Liouville operators on a half line $[a,\infty), a>0$, with
potentials that are growing at most quadratically at infinity. Such operators
arise naturally in the analysis of hyperbolic manifolds, or more generally
manifolds with cusps. We establish existence and a formula for the associated
zeta-determinant in terms of the Wronski-determinant of a fundamental system of
solutions adapted to the boundary conditions. Despite being the natural objects
in the context of hyperbolic geometry, spectral geometry of such operators has
only recently been studied in the context of analytic torsion.


title:
Hilbert quasi-polynomial for order domains and application to coding
  theory

abstract:
  We present an application of Hilbert quasi-polynomials to order domains,
allowing the effective check of the second order-domain condition in a direct
way. We also provide an improved algorithm for the computation of the related
Hilbert quasi-polynomials. This allows to identify order domain codes more
easily.


title:
The influence of Lifshitz forces and gas on premelting of ice within
  porous materials

abstract:
  Premelting of ice within pores in earth materials is shown to depend on the
presence of vapor layers. For thick vapor layers between ice and pore surfaces,
a nanosized water sheet can be formed due to repulsive Lifshitz forces. In the
absence of vapor layers, ice is inhibited from melting near pore surfaces. In
between these limits, we find an enhancement of the water film thickness in
silica and alumina pores. In the presence of metallic surface patches in the
pore, the Lifshitz forces can dramatically widen the water film thickness, with
potential complete melting of the ice surface.


title:
Self-presentation and emotional contagion on Facebook: new experimental
  measures of profiles' emotional coherence

abstract:
  Social Networks allow users to self-present by sharing personal contents with
others which may add comments. Recent studies highlighted how the emotions
expressed in a post affect others' posts, eliciting a congruent emotion. So
far, no studies have yet investigated the emotional coherence between wall
posts and its comments. This research evaluated posts and comments mood of
Facebook profiles, analyzing their linguistic features, and a measure to assess
an excessive self-presentation was introduced. Two new experimental measures
were built, describing the emotional loading (positive and negative) of posts
and comments, and the mood correspondence between them was evaluated. The
profiles "empathy", the mood coherence between post and comments, was used to
investigate the relation between an excessive self-presentation and the
emotional coherence of a profile. Participants publish a higher average number
of posts with positive mood. To publish an emotional post corresponds to get
more likes, comments and receive a coherent mood of comments, confirming the
emotional contagion effect reported in literature. Finally, the more empathetic
profiles are characterized by an excessive self-presentation, having more
posts, and receiving more comments and likes. To publish emotional contents
appears to be functional to receive more comments and likes, fulfilling needs
of attention-seeking.


title:
A model for the integration of conflicting exogenous and endogenous
  signals by dendritic cells

abstract:
  Cells of the immune system are confronted with opposing pro- and
anti-inflammatory signals. Dendritic cells (DC) integrate these cues to make
informed decisions whether to initiate an immune response. Confronted with
exogenous microbial stimuli, DC endogenously produce both anti- (IL-10) and
pro-inflammatory (TNF$\alpha$) cues whose joint integration controls the cell's
final decision. We combine experimental measurements with theoretical modeling
to quantitatively describe the integration mode of these opposing signals. We
propose a two step integration model that modulates the effect of the two types
of signals: an initial bottleneck integrates both signals (IL-10 and
TNF$\alpha$), the output of which is later modulated by the anti-inflammatory
signal. We show that the anti-inflammatory IL-10 signaling is long ranged, as
opposed to the short-ranged pro-inflammatory TNF$\alpha$ signaling. The model
suggests that the population averaging and modulation of the pro-inflammatory
response by the anti-inflammatory signal is a safety guard against excessive
immune responses.


title:
A GMRT survey of regions towards the Taurus Molecular Cloud at 323 and
  608 MHz

abstract:
  We present observations of three active sites of star formation in the Taurus
Molecular Cloud complex taken at 323 and 608 MHz (90 and 50 cm, respectively)
with the Giant Metrewave Radio Telescope (GMRT). Three pointings were observed
as part of a pathfinder project, targeted at the young stellar objects (YSOs)
L1551 IRS 5, T Tau and DG Tau (the results for these target sources were
presented in a previous paper). In this paper, we search for other YSOs and
present a survey comprising of all three fields; a by-product of the large
instantaneous field of view of the GMRT. The resolution of the survey is of
order 10 arcsec and the best rms noise at the centre of each pointing is of
order $100\,\mu$Jy beam$^{-1}$ at 323 MHz and $50\,\mu$Jy beam$^{-1}$ at 608
MHz. We present a catalogue of 1815 and 687 field sources detected above
$5\,\sigma_{\rm rms}$ at 323 and 608 MHz, respectively. A total of 440 sources
were detected at both frequencies, corresponding to a total unique source count
of 2062 sources. We compare the results with previous surveys and showcase a
sample of extended extragalactic objects. Although no further YSOs were
detected in addition to the target YSOs based on our source finding criteria,
these data can be useful for targeted manual searches, studies of radio
galaxies or to assist in the calibration of future observations with the Low
Frequency Array (LOFAR) towards these regions.


title: Dynamics of Saturn's great storm of 2010-2011 from Cassini ISS and RPWS

abstract:
  Saturn's quasi-periodic planet-encircling storms are the largest convecting
outbursts in the Solar System. The last eruption was in 1990. A new eruption
started in December 2010 and presented the first-ever opportunity to observe
such episodic storms from a spacecraft in orbit around Saturn. Here, we analyze
images acquired with the Cassini Imaging Science Subsystem (ISS), which
captured the storm's birth, evolution and demise. In studying the end of the
convective activity, we also analyze the Saturn Electrostatic Discharge (SED)
signals detected by the Radio and Plasma Wave Science (RPWS) instrument. [...]


title:
Worst-case Redundancy of Optimal Binary AIFV Codes and their Extended
  Codes

abstract:
  Binary AIFV codes are lossless codes that generalize the class of
instantaneous FV codes. The code uses two code trees and assigns source symbols
to incomplete internal nodes as well as to leaves. AIFV codes are empirically
shown to attain better compression ratio than Huffman codes. Nevertheless, an
upper bound on the redundancy of optimal binary AIFV codes is only known to be
1, which is the same as the bound of Huffman codes. In this paper, the upper
bound is improved to 1/2, which is shown to coincide with the worst-case
redundancy of the codes. Along with this, the worst-case redundancy is derived
in terms of $p_{\max}\geq$1/2, where $p_{\max}$ is the probability of the most
likely source symbol. Additionally, we propose an extension of binary AIFV
codes, which use $m$ code trees and allow at most $m$-bit decoding delay. We
show that the worst-case redundancy of the extended binary AIFV codes is $1/m$
for $m \leq 4.$


title:
Long-term observations of the pulsars in 47 Tucanae. I. A study of four
  elusive binary systems

abstract:
  For the past couple of decades, the Parkes radio telescope has been regularly
observing the millisecond pulsars in 47 Tucanae (47 Tuc). This long-term timing
program was designed to address a wide range of scientific issues related to
these pulsars and the globular cluster where they are located. In this paper,
the first of a series, we address one of these objectives: the characterization
of four previously known binary pulsars for which no precise orbital parameters
were known, namely 47 Tuc P, V, W and X (pulsars 47 Tuc R and Y are discussed
elsewhere). We determined the previously unknown orbital parameters of 47 Tuc V
and X and greatly improved those of 47 Tuc P and W. For pulsars W and X we
obtained, for the first time, full coherent timing solutions across the whole
data span, which allowed a much more detailed characterization of these
systems. 47 Tuc W, a well-known tight eclipsing binary pulsar, exhibits a large
orbital period variability, as expected for a system of its class. 47 Tuc X
turns out to be in a wide, extremely circular, 10.9-day long binary orbit and
its position is ~3.8 arcmin away from the cluster center, more than three times
the distance of any other pulsar in 47 Tuc. These characteristics make 47 Tuc X
a very different object with respect to the other pulsars of the cluster.


title:
An Evolutionary Algorithm to Learn SPARQL Queries for
  Source-Target-Pairs: Finding Patterns for Human Associations in DBpedia

abstract:
  Efficient usage of the knowledge provided by the Linked Data community is
often hindered by the need for domain experts to formulate the right SPARQL
queries to answer questions. For new questions they have to decide which
datasets are suitable and in which terminology and modelling style to phrase
the SPARQL query.
  In this work we present an evolutionary algorithm to help with this
challenging task. Given a training list of source-target node-pair examples our
algorithm can learn patterns (SPARQL queries) from a SPARQL endpoint. The
learned patterns can be visualised to form the basis for further investigation,
or they can be used to predict target nodes for new source nodes.
  Amongst others, we apply our algorithm to a dataset of several hundred human
associations (such as "circle - square") to find patterns for them in DBpedia.
We show the scalability of the algorithm by running it against a SPARQL
endpoint loaded with > 7.9 billion triples. Further, we use the resulting
SPARQL queries to mimic human associations with a Mean Average Precision (MAP)
of 39.9 % and a Recall@10 of 63.9 %.


title: Micromechanics and dislocation theory in anisotropic elasticity

abstract:
  In this work, dislocation master-equations valid for anisotropic materials
are derived in terms of kernel functions using the framework of micromechanics.
The second derivative of the anisotropic Green tensor is calculated in the
sense of generalized functions and decomposed into a sum of a $1/R^3$-term plus
a Dirac $\delta$-term. The first term is the so-called "Barnett-term" and the
latter is important for the definition of the Green tensor as fundamental
solution of the Navier equation. In addition, all dislocation master-equations
are specified for Somigliana dislocations with application to 3D crack
modeling. Also the interior Eshelby tensor for a spherical inclusion in an
anisotropic material is derived as line integral over the unit circle.

categories: cond-mat.mtrl-sci math-ph math.MP physics.class-ph


title:
Melting upon cooling and freezing upon heating: Fluid-solid phase
  diagram for Svejk-Hasek model of dimerizing hard spheres

abstract:
  A simple model of dimerizing hard spheres with highly nontrivial fluid-solid
phase behaviour is proposed. The model is studied using the recently proposed
resummed thermodynamic perturbation theory for central force (RTPT-CF)
associating potentials. The phase diagram has the fluid branch of the
fluid-solid coexistence curve located at a temperatures lower than those of the
solid branch. This unusual behaviour is related to the strong dependence of the
system excluded volume on the temperature, which for the model at hand
decreases with increasing temperature. This effect can be also seen for a wide
family of fluid models with an effective interaction that combines short range
attraction and repulsion at a larger distance. We expect that for sufficiently
high repulsive barrier, such systems may show similar phase behaviour.


title:
Topological Interference Management with User Admission Control via
  Riemannian Optimization

abstract:
  Topological interference management (TIM) provides a promising way to manage
interference only based on the network connectivity information. Previous works
on the TIM problem mainly focus on using the index coding approach and graph
theory to establish conditions of network topologies to achieve the feasibility
of topological interference management. In this paper, we propose a novel user
admission control approach via sparse and low-rank optimization to maximize the
number of admitted users for achieving the feasibility of topological
interference management. To assist efficient algorithms design for the
formulated rank-constrained (i.e., degrees-of-freedom (DoF) allocation) l0-norm
maximization (i.e., user capacity maximization) problem, we propose a
regularized smoothed l1- norm minimization approach to induce sparsity pattern,
thereby guiding the user selection. We further develop a Riemannian
trust-region algorithm to solve the resulting rank-constrained smooth
optimization problem via exploiting the quotient manifold of fixed-rank
matrices. Simulation results demonstrate the effectiveness and near-optimal
performance of the proposed Riemannian algorithm to maximize the number of
admitted users for topological interference management.


title:
On finite $N=1,2$ BRST transformations: Jacobians and Standard Model
  with gauge-invariant Gribov horizon

abstract:
  We review the concept and properties of finite field-dependent BRST and
BRST-antiBRST transformations introduced in our recent study (A. Reshetnyak,
IJMPA 29 (2014) 1450128, P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92,
Phys. Lett B 739 (2014) 110, IJMPA 29 (2014) 1450159, IJMPA 30 (2015) 1550021,
IJMPA 31 (2016) 1650111, [arxiv:1604.03027 [hep-th]]) for gauge theories. Exact
rules for calculating the Jacobian of a corresponding change of variables in
the partition function are presented. Infrared peculiarities under
$R_\xi$-gauges in the Yang--Mills theory and Standard Model are examined in a
gauge-invariant way with an appropriate horizon functional and unaffected local
$N=1,2$ BRST symmetries.


title: Monodromy of torus fiber bundles and decomposability problem

abstract:
  The notion of a (stably) decomposable fiber bundle is introduced. In low
dimensions, for torus fiber bundles over a circle the notion translates into a
property of elements of the special linear group of integral matrices. We give
a complete characterization of the stably decomposable torus fiber bundle of
fiber-dimension less than 4 over the circle.


title:
Effects of van der Waals forces and salt ions on the growth of water
  films on ice and the detachment of CO$_2$ bubbles

abstract:
  We study the effect of salts on the thickness of wetting films on melting ice
and interactions acting on CO$_2$ bubble near ice-water and vapor-water
interfaces. Governing mechanisms are the Lifshitz and the double-layer
interactions in the respective three-layer geometries. We demonstrate that the
latter depend on the Casimir--Polder interaction of the salt ions dissolved in
water with the respective ice, vapour and CO$_2$ interfaces, as calculated
using different models for their effective polarizability in water. Significant
variation in the predicted thickness of the equilibrium water film is observed
for different salt ions and when using different models for the ions'
polarizabilities. We find that CO$_2$ bubbles are attracted towards ice-water
interface and repelled from the vapor-water interface


title: Covering segments with unit squares

abstract:
  We study several variations of line segment covering problem with
axis-parallel unit squares in $I\!\!R^2$. A set $S$ of $n$ line segments is
given. The objective is to find the minimum number of axis-parallel unit
squares which cover at least one end-point of each segment. The variations
depend on the orientation and length of the input segments. We prove some of
these problems to be NP-complete, and give constant factor approximation
algorithms for those problems. For some variations, we have polynomial time
exact algorithms. For the general version of the problem, where the segments
are of arbitrary length and orientation, and the squares are given as input, we
propose a factor 16 approximation result based on multilevel linear programming
relaxation technique, which may be useful for solving some other problems.
Further, we show that our problems have connections with the problems studied
by Arkin et al. 2015 on conflict-free covering problem. Our NP-completeness
results hold for more simplified types of objects than those of Arkin et al.
2015.


title:
Olivine on Vesta as exogenous contaminants brought by impacts:
  Constraints from modeling Vesta's collisional history and from impact
  simulations

abstract:
  The survival of asteroid Vesta during the violent early history of the Solar
System is a pivotal constraint on theories of planetary formation. Particularly
important from this perspective is the amount of olivine excavated from the
vestan mantle by impacts, as this constrains both the interior structure of
Vesta and the number of major impacts the asteroid suffered during its life.
The NASA Dawn mission revealed that olivine is present on Vesta's surface in
limited quantities, concentrated in small patches at a handful of sites and
interpreted as the result of the excavation of endogenous olivine. Later works
raised the possibility that the olivine had an exogenous origin, based on the
geologic and spectral features of the deposits. In this work we quantitatively
explore the proposed scenario of a exogenous origin for the detected olivine to
investigate whether its presence on Vesta can be explained as a natural outcome
of the collisional history of the asteroid. We took advantage of the impact
contamination model previously developed to study the origin and amount of dark
and hydrated materials observed by Dawn on Vesta, which we updated by
performing dedicated hydrocode impact simulations. We show that the exogenous
delivery of olivine by impacts can offer a viable explanation for the currently
identified olivine-rich sites without violating the constraint posed by the
lack of global olivine signatures on Vesta. Our results indicate that no mantle
excavation is in principle required to explain the observations of the Dawn
mission and support the idea that the vestan crust could be thicker than
indicated by simple geochemical models based on the Howardite-Eucrite-Diogenite
family of meteorites.


title:
The small observed scale of AGN--driven outflows, and inside--out disc
  quenching

abstract:
  Observations of massive outflows with detectable central AGN typically find
them within radii $\lesssim 10$ kpc. We show that this apparent size
restriction is a natural result of AGN driving if this process injects total
energy only of order the gas binding energy to the outflow, and the AGN varies
over time (`flickers') as suggested in recent work. After the end of all AGN
activity the outflow continues to expand to larger radii, powered by the
thermal expansion of the remnant shocked AGN wind. We suggest that on average,
outflows should be detected further from the nucleus in more massive galaxies.
In massive gas--rich galaxies these could be several tens of kpc in radius. We
also consider the effect that pressure of such outflows has on a galaxy disc.
In moderately gas--rich discs, with gas-to-baryon fraction $< 0.2$, the outflow
may induce star formation significant enough to be distinguished from quiescent
by an apparently different normalisation of the Kennicutt-Schmidt law. The star
formation enhancement is probably stronger in the outskirts of galaxy discs, so
coasting outflows might be detected by their effects upon the disc even after
the driving AGN has shut off. We compare our results to the recent inference of
inside--out quenching of star formation in galaxy discs.


title: Model-free immune therapy: A control approach to acute inflammation

abstract:
  Control of an inflammatory immune response is still an ongoing research.
Here, a strategy consisting of manipulating a pro and anti-inflammatory
mediator is considered. Already existing and promising model-based techniques
suffer unfortunately from a most difficult calibration. This is due to the
different types of inflammations and to the strong parameter variation between
patients. This communication explores another route via the new model-free
control and its corresponding "intelligent" controllers. A "virtual" patient,
i.e., a mathematical model, is only employed for digital simulations. A most
interesting feature of our control strategy is the fact that the two outputs
which must be driven are sensorless. This difficulty is overcome by assigning
suitable reference trajectories to two other outputs with sensors. Several most
encouraging computer simulations, corresponding to different drug treatment
strategies, are displayed and discussed.


title: Boundary crossing probabilities for $(q,d)$-Slepian-processes

abstract:
  For $0<q< d$ fixed let $W^{[q,d]}=(W^{[q,d]}_t)_{t\in {[q,d]}}$ be a
$(q,d)$-Slepian-process defined as centered, stationary Gaussian process with
continuous sample paths and covariance
  \begin{align*} C_{W^{[q,d]}}(s,s+t) = (1-\frac{t}{q})^+, \quad q\leq s\leq
s+t\leq d.
  \end{align*} Note that
  \begin{align*} \frac{1}{\sqrt{q}}(B_t-B_{t-q})_{t\in [q,d]}, \end{align*}
where $B_t$ is standard Brownian motion, is a $(q,d)$-Slepian-process. In this
paper we prove an analytical formula for the boundary crossing probability
$\mathbb{P}\left(W^{[q,d]}_t > g(t) \; \text{for some } t\in[q,d]\right)$, $q<
d\leq 2q$, in the case $g$ is a piecewise affine function. This formula can be
used as approximation for the boundary crossing probability of an arbitrary
boundary by approximating the boundary function by piecewise affine functions.


title:
Determination of the analysing power for the $\vec{p}p \rightarrow
  pp\eta$ reaction using WASA-at-COSY detector system

abstract:
  We report on the measurement of the analyzing power for the (vec)pp->ppeta
reaction with beam momenta of 2026 MeV/c and 2188 MeV/c performed with the
WASA-at-COSY detector at the Cooler Synchrotron COSY. The eta meson from the
(vec)pp-> ppeta reaction was identified by the techniques of missing mass and
invariant mass. The angular distribution of the determined analyzing power
strongly disagree with theoretical predictions. A comparison of the obtained Ay
angular distribution with a series of associated Legendre polynomials revealed
negligible contribution of the Sd partial wave at Q = 15 MeV. However, at Q =
72 MeV, a significant interference of the Ps and Pp partial waves was observed.


title: Automatic Attribute Discovery with Neural Activations

abstract:
  How can a machine learn to recognize visual attributes emerging out of online
community without a definitive supervised dataset? This paper proposes an
automatic approach to discover and analyze visual attributes from a noisy
collection of image-text data on the Web. Our approach is based on the
relationship between attributes and neural activations in the deep network. We
characterize the visual property of the attribute word as a divergence within
weakly-annotated set of images. We show that the neural activations are useful
for discovering and learning a classifier that well agrees with human
perception from the noisy real-world Web data. The empirical study suggests the
layered structure of the deep neural networks also gives us insights into the
perceptual depth of the given word. Finally, we demonstrate that we can utilize
highly-activating neurons for finding semantically relevant regions.


title: The $\rho$-Capacity of a Graph

abstract:
  Motivated by the problem of zero-error broadcasting, we introduce a new
notion of graph capacity, termed $\rho$-capacity, that generalizes the Shannon
capacity of a graph. We derive upper and lower bounds on the $\rho$-capacity of
arbitrary graphs, and provide a Lov\'asz-type upper bound for regular graphs.
We study the behavior of the $\rho$-capacity under two graph operations: the
strong product and the disjoint union. Finally, we investigate the connection
between the structure of a graph and its $\rho$-capacity.


title:
Bottle microresonator broadband and low repetition rate frequency comb
  generator

abstract:
  We propose a new type of broadband and low repetition rate frequency comb
generator which has the shape of an elongated and nanoscale-shallow optical
bottle microresonator created at the surface of an optical fiber. The free
spectral range (FSR) of the broadband azimuthal eigenfrequency series of this
resonator is the exact multiple of the FSR of the dense and narrowband axial
series. The effective radius variation of the microresonator is close to a
parabola with a nanoscale height which is greater or equal to lambda/2pi*n0
(here lambda is the characteristic radiation wavelength and n0 is the
refractive index of the microresonator material). Overall, the microresonator
possesses a broadband, small FSR, and accurately equidistant spectrum
convenient for the generation of a broadband and low repetition rate optical
frequency comb. It is shown that this comb can be generated by pumping with a
cw laser, which radiation frequency matches a single axial eigenfrequency of
the microresonator, or, alternatively, by pumping with a mode-locked laser,
which generates a narrowband low repetition rate comb matching a series of
equidistant axial eigenfrequencies situated between adjacent azimuthal
eigenfrequencies.


title:
A Bombieri--Vinogradov Theorem with products of Gaussian primes as
  moduli

abstract:
  We prove a version of the Bombieri--Vinogradov Theorem with certain products
of Gaussian primes as moduli, making use of their special form as polynomial
expressions in several variables. Adapting Vaughan's proof of the classical
Bombieri--Vinogadov Theorem to this setting, we apply the polynomial large
sieve inequality that has been recently proved and which includes recent
progress in Vinogradov's mean value theorem due to Parsell et al. From the
benefit of these improvements, we obtain an extended range for the variables
compared to the range obtained from standard arguments only.


title: $^3P_2$ Superfluids Are Topological

abstract:
  We clarify topology of $^3P_2$ superfluids which are expected to be realized
in the inner cores of neutron stars and cubic odd-parity superconductors.
$^3P_2$ phases include uniaxial/biaxial nematic phases and nonunitary
ferromagnetic and cyclic phases. We here show that all the phases are
accompanied by different types of topologically protected gapless fermions:
Surface Majorana fermions in nematic phases and a quartet of (single) itinerant
Majorana fermions in the cyclic (ferromagnetic) phase. Using the superfluid
Fermi liquid theory, we also demonstrate that dihedral-two and -four biaxial
nematic phases are thermodynamically favored in the weak coupling limit under a
magnetic field. It is shown that the tricritical point exists on the phase
boundary between these two phases and may be realized in the core of realistic
magnetars. We unveil the intertwining of symmetry and topology behind mass
acquisition of surface Majorana fermions in nematic phases.


title:
Energy Aware Architecture for Coordinated Mobility: An Approximate
  Dynamic Programming Approach

abstract:
  Our goal is to design distributed coordination strategies that enable agents
to achieve global performance guarantees while minimizing the energy cost of
their actions with an emphasis on feasibility for real-time implementation. As
a motivating scenario that illustrates the importance of introducing energy
awareness at the agent level, we consider a team of mobile nodes that are
assigned the task of establishing a communication link between two base
stations with minimum energy consumption. We formulate this problem as a
dynamic program in which the total cost of each agent is the sum of both
mobility and communication costs. To ensure that the solution is distributed
and real time implementable, we propose multiple suboptimal policies based on
the concepts of approximate dynamic programming. To provide performance
guarantees, we compute upper bounds on the performance gap between the proposed
suboptimal policies and the global optimal policy. Finally, we discuss merits
and demerits of the proposed policies and compare their performance using
simulations.


title: A hyperk\"ahler submanifold of the monopole moduli space

abstract:
  We discuss a 4[k/2]-dimensional complete hyperk\"ahler submanifold of the
(4k-4)-dimensional moduli space of strongly centred SU(2)-monopoles of charge
k.


title: Higher-Than-Ballistic Conduction of Viscous Electron Flows

abstract:
  Strongly interacting electrons can move in a neatly coordinated way,
reminiscent of the movement of viscous fluids. Here we show that in viscous
flows interactions facilitate transport, allowing conductance to exceed the
fundamental Landauer's ballistic limit $G_{\rm ball}$. The effect is
particularly striking for the flow through a viscous point contact, a
constriction exhibiting the quantum-mechanical ballistic transport at $T=0$ but
governed by electron hydrodynamics at elevated temperatures. We develop a
theory of the ballistic-to-viscous crossover using an approach based on
quasi-hydrodynamic variables. Conductance is found to obey an additive relation
$G=G_{\rm ball}+G_{\rm vis}$, where the viscous contribution $G_{\rm vis}$
dominates over $G_{\rm ball}$ in the hydrodynamic limit. We argue that
superballistic, low-dissipation transport is a generic feature of viscous
electronics.


title: A Statistical Test for Joint Distributions Equivalence

abstract:
  We provide a distribution-free test that can be used to determine whether any
two joint distributions $p$ and $q$ are statistically different by inspection
of a large enough set of samples. Following recent efforts from Long et al.
[1], we rely on joint kernel distribution embedding to extend the kernel
two-sample test of Gretton et al. [2] to the case of joint probability
distributions. Our main result can be directly applied to verify if a
dataset-shift has occurred between training and test distributions in a
learning framework, without further assuming the shift has occurred only in the
input, in the target or in the conditional distribution.