title:
Fluid dynamics: an emerging route for the scalable production of
  graphene in the last five years

abstract:
  Bulk applications of graphene in fields such as advanced composites,
conductive ink, and energy storage require cheap and scalable graphene.
Fortunately, in the last decade, liquid-phase exfoliation of graphite to give
pristine graphene has been thought as a promising way to massive production of
graphene at high efficiency and low cost, in terms of the cheap and abundant
graphite source and a variety of cost-effective exfoliation techniques. Though
many exfoliation techniques are available so far, this article will highlight
the recent progress of fluid dynamics route which emerges as a promising
scalable and efficient way for graphene production in the last five years. The
emphasis is set on vortex fluidic devices and pressure- and mixer-driven fluid
dynamics, with our perspectives on the latest progress, exfoliation mechanism,
and some key issues that require further study in order to realize industrial
applications.


title:
Long wavelength properties of phase field crystal models with second
  order dynamics

abstract:
  The phase field crystal (PFC) approach extends the notion of phase field
models by describing the topology of the microscopic structure of a crystalline
material. One of the consequences is that local variation of the interatomic
distance creates an elastic excitation. The dynamics of these excitations poses
a challenge: pure diffusive dynamics cannot describe relaxation of elastic
stresses that happen through phonon emission. To this end, several different
models with fast dynamics have been proposed. In this article we use the
amplitude expansion of the PFC model to compare the recently proposed
hydrodynamic PFC amplitude model with two simpler models with fast dynamics. We
compare these different models analytically and numerically. The results
suggest that in order to have proper relaxation of elastic excitations, the
full hydrodynamical description of the PFC amplitudes is required.


title: Some Estimates for a Generalized Abreu's Equation

abstract: We study a generalized Abreu equation and derive some estimates.


title: Geometry of the scaling site

abstract:
  We construct the scaling site S by implementing the extension of scalars on
the arithmetic site, from the smallest Boolean semifield to the tropical
semifield of positive real numbers. The obtained semiringed topos is the
Grothendieck topos semi-direct product of the Euclidean half-line and the
monoid of positive integers acting by multiplication, endowed with the
structure sheaf of piecewise affine, convex functions with integral slopes. We
show that the points of this topos coincide with the adele class space of the
rationals and that this latter space inherits the geometric structure of a
tropical curve. We restrict this construction to the periodic orbit of the
scaling flow associated to each prime and obtain a quasi-tropical structure
which turns this orbit into a variant C of the classical Jacobi description of
an elliptic curve. On C, we develop the theory of Cartier divisors, determine
the structure of the quotient of the abelian group of divisors by the subgroup
of principal divisors, develop the theory of theta functions, and prove the
Riemann-Roch formula which involves real valued dimensions, as in the type II
index theory. We show that one would have been led to the same definition of
the scaling site by analyzing the well known results on the localization of
zeros of analytic functions involving Newton polygons in the non-archimedean
case and the Jensen's formula in the complex case.


title: Thermodynamic Screening of Metal-Substituted MOFs for Carbon Capture

abstract:
  Metal-organic frameworks (MOFs) have emerged as promising materials for
carbon capture applications due to their high CO2 capacities and tunable
properties. Amongst the many possible MOFs, metal-substituted compounds based
on M-DOBDC and M-HKUST-1 have demonstrated amongst the highest CO2 capacities
at the low pressures typical of flue gasses. Here we explore the possibility
for additional performance tuning of these compounds by computationally
screening 36 metal-substituted variants (M = Be, Mg, Ca, Sr, Sc, Ti, V, Cr, Mn,
Fe, Co, Ni, Cu, Zn, Mo, W, Sn, and Pb) with respect to their CO2 adsorption
enthalpy, $\Delta$H (T=300K). Supercell calculations based on van der Waals
density functional theory (vdW-DF) yield enthalpies in good agreement with
experimental measurements, out-performing semi-empirical (DFT-D2) and
conventional (LDA and GGA) functionals. Our screening identifies 13 compounds
having $\Delta$H values within the targeted thermodynamic window 40 $\leq$
$\Delta$H $\leq$ 75 kJ/mol: 8 are based on M-DODBC (M=Mg, Ca, Sr, Sc, Ti, V,
Mo, and W), and 5 on M-HKUST-1 (M= Be, Mg, Ca, Sr and Sc). Variations in the
electronic structure and the geometry of the structural building unit are
examined and used to rationalize trends in CO2 affinity. In particular, the
partial charge on the coordinatively unsaturated metal sites is found to
correlate with $\Delta$H, suggesting that this property may be used as a simple
performance descriptor. The ability to rapidly distinguish promising MOFs from
those that are "thermodynamic dead-ends" will be helpful in guiding synthesis
efforts towards promising compounds.


title: Energy spectra and quadrupole transition probabilities of 124-130Ba

abstract:
  In this paper, we have studied the energy spectra and B(E2) transition
probabilities of 124-130Ba isotopes in the shape phase transition region
between the spherical and gamma unstable deformed shapes. We have used a
transitional Interacting Boson Model Hamiltonian which is based on affine
SU(1,1) Lie Algebra in the both IBM-1 and 2 versions and also the Catastrophe
theory in combination with a coherent state formalism to generate energy
surfaces and determine the exact values of control parameters. Our results for
control parameters suggest a combination of U(5) and SO(6) dynamical symmetries
in this isotopic chain. Also, the theoretical predictions can be rather well
reproduce the experimental counterparts when the control parameter is
approached to the SO(6) limit.


title:
Periods of Drinfeld modules and local shtukas with complex
  multiplication

abstract:
  Colmez conjectured a product formula for periods of abelian varieties over
number fields with complex multiplication and proved it in some cases. His
conjecture is equivalent to a formula for the Faltings height of CM abelian
varieties in terms of the logarithmic derivatives at $s=0$ of certain Artin
$L$-functions.
  In a series of articles we investigate the analog of Colmez's theory in the
arithmetic of function fields. There abelian varieties are replaced by Drinfeld
modules and their higher dimensional generalizations, so-called $A$-motives. In
the present article we prove the product formula for the Carlitz module and we
compute the valuations of the periods of a CM $A$-motive at all finite places
in terms of Artin $L$-series. The latter is achieved by investigating the local
shtukas associated with the $A$-motive.


title: Stochastic thermodynamics for active matter

abstract:
  The theoretical understanding of active matter, which is driven out of
equilibrium by directed motion, is still fragmental and model oriented.
Stochastic thermodynamics, on the other hand, is a comprehensive theoretical
framework for driven systems that allows to define fluctuating work and heat.
We apply these definitions to active matter, assuming that dissipation can be
modelled by effective non-conservative forces. We show that, through the work,
conjugate extensive and intensive observables can be defined even in
non-equilibrium steady states lacking a free energy. As an illustration, we
derive the expressions for the pressure and interfacial tension of active
Brownian particles. The latter becomes negative despite the observed stable
phase separation. We discuss this apparent contradiction, highlighting the role
of fluctuations, and we offer a tentative explanation.


title:
A Numerical Approach for a General Class of the Spatial Segregation of
  Reaction-Diffusion Systems Arising in Population Dynamics

abstract:
  In the current work we consider the numerical solutions of equations of
stationary states for a general class of the spatial segregation of
reaction-diffusion systems with $m\geq 2$ population densities. We introduce a
discrete multi-phase minimization problem related to the segregation problem,
which allows to prove the existence and uniqueness of the corresponding finite
difference scheme. Based on that scheme, we suggest an iterative algorithm and
show its consistency and stability. For the special case $m=2,$ we show that
the problem gives rise to the generalized version of the so-called two-phase
obstacle problem. In this particular case we introduce the notion of viscosity
solutions and prove convergence of the difference scheme to the unique
viscosity solution. At the end of the paper we present computational tests, for
different internal dynamics, and discuss numerical results.


title: Cohomology of uniserial $p$-adic space groups

abstract:
  We prove the non-twisted case of Carlson's conjecture for any prime and we
show how to proceed in the twisted case.


title: General dynamic term structures under default risk

abstract:
  We consider the problem of modelling the term structure of defaultable bonds,
under minimal assumptions on the default time. In particular, we do not assume
the existence of a default intensity and we therefore allow for the possibility
of default at predictable times. It turns out that this requires the
introduction of an additional term in the forward rate approach by Heath,
Jarrow and Morton (1992). This term is driven by a random measure encoding
information about those times where default can happen with positive
probability. In this framework, we derive necessary and sufficient conditions
for a reference probability measure to be a local martingale measure for the
large financial market of credit risky bonds, also considering general recovery
schemes.


title:
Path to survival for the critical branching processes in a random
  environment

abstract:
  A critical branching process $\left\{ Z_{k},k=0,1,2,...\right\} $ in a random
environment is considered. A conditional functional limit theorem for the
properly scaled process $\left\{ \log Z_{pu},0\leq u<\infty \right\} $ is
established under the assumptions $Z_{n}>0$ and $p\ll n$. It is shown that the
limiting process is a Levy process conditioned to stay nonnegative. The proof
of this result is based on a limit theorem describing the distribution of the
initial part of the trajectories of a driftless random walk conditioned to stay
nonnegative.


title: Motivic classes of Nakajima quiver varieties

abstract:
  We prove, that Hausel's formula for the number of rational points of a
Nakajima quiver variety over a finite field also holds in a suitable
localization of the Grothendieck ring of varieties. In order to generalize the
arithmetic harmonic analysis in his proof we use Grothendieck rings with
exponentials as introduced by Cluckers-Loeser and Hrushovski-Kazhdan.


title: Finitely Additive, Modular and Probability Functions on Pre-semirings

abstract:
  In this paper, we define finitely additive, probability and modular functions
over semiring-like structures. We investigate finitely additive functions with
the help of complemented elements of a semiring. We also generalize some
classical results in probability theory such as the Law of Total Probability,
Bayes' Theorem, the Equality of Parallel Systems, and Poincar\'{e}'s
Inclusion-Exclusion Theorem. While we prove that modular functions over a
couple of known semirings are almost constant, we show it is possible to define
many different modular functions over some semirings such as bottleneck
algebras and the semiring $(Id(D), + ,\cdot)$, where $D$ is a Dedekind domain.


title: Spin Hall Effect in a Spinor Dipolar Bose-Einstein Condensate

abstract:
  We theoretically show that the spin Hall effect arises in a Bose-Einstein
condensate (BEC) of neutral atoms interacting via the magnetic dipole-dipole
interactions (MDDIs). Since the MDDI couples the total spin angular momentum
and the relative orbital angular momentum of two colliding atoms, it works as a
spin-orbit coupling. Thus, when we prepare a BEC in a magnetic sublevel $m=0$,
thermally and quantum-mechanically excited atoms in the $m=1$ and $-1$ states
feel the Lorentz-like foces in the opposite directions. This is the origin for
the emergence of the the spin Hall effect. We define the mass-current and
spin-current operators from the equations of continuity and calculate the spin
Hall conductivity from the off-diagonal current-current correlation function
within the Bogoliubov approximation. We find that the correction of the current
operators due to the MDDI significantly contributes to the spin Hall
conductivity. Possible experimental situation is also discussed.


title: A Novel Algorithm for String Matching with Mismatches

abstract:
  We present an online algorithm to deal with pattern matching in strings. The
problem we investigate is commonly known as string matching with mismatches in
which the objective is to report the number of characters that match when a
pattern is aligned with every location in the text. The novel method we propose
is based on the frequencies of individual characters in the pattern and the
text. The algorithm consumes minimal space in the form of simple arrays, which
reduces the cost overhead to maintain the complex data structures such as
suffix trees or automaton.


title:
Local existence, global existence, and scattering for the nonlinear
  Schr\"odinger equation

abstract:
  In this paper, we construct for every $\alpha >0$ and $\lambda \in {\mathbb
C}$ a space of initial values for which there exists a local solution of the
nonlinear Schr\"odinger equation \begin{equation*} \begin{cases} iu_t + \Delta
u + \lambda |u|^\alpha u= 0 \\ u(0,x) = u_0 \end{cases} \end{equation*} on
${\mathbb R}^N $. Moreover, we construct for every $\alpha >\frac {2} {N}$ a
class of (arbitrarily large) initial values for which there exists a global
solution that scatters as $t\to \infty $.


title: Hadwiger's Conjecture for squares of 2-Trees

abstract:
  Hadwiger's conjecture asserts that any graph contains a clique minor with
order no less than the chromatic number of the graph. We prove that this
well-known conjecture is true for all graphs if and only if it is true for
squares of split graphs. This observation implies that Hadwiger's conjecture
for squares of chordal graphs is as difficult as the general case, since
chordal graphs are a superclass of split graphs. Then we consider 2-trees which
are a subclass of each of planar graphs, 2-degenerate graphs and chordal
graphs. We prove that Hadwiger's conjecture is true for squares of $2$-trees.
We achieve this by proving the following stronger result: for any $2$-tree $T$,
its square $T^2$ has a clique minor of order $\chi(T^2)$ for which each branch
set induces a path, where $\chi(T^2)$ is the chromatic number of $T^2$.


title: Spin transport in tilted electron vortex beams

abstract:
  In this paper we have enlightened the spin related issues of tilted Electron
vortex beams. We have shown that in the skyrmionic model of electron we can
have the spin Hall current considering the tilted type of electron vortex beam.
We have considered the monopole charge of the tilted vortex as time dependent
and through the time variation of the monopole charge we can explain the spin
Hall effect of electron vortex beams. Besides, with an external magnetic field
we can have a spin filter configuration.


title: Resonant excitation of the spin-wave current in hybrid nanostructures

abstract:
  Using the non-equilibrium statistical operator method (NSO), we have
investigated the spin transport through the interface in a
semiconductor/ferromagnetic insulator hybrid structure. We have analyzed the
approximation of effective parameters, when each of the considered subsystems
(conduction electrons, magnons, and phonons) is characterized by its effective
temperature. We have constructed the macroscopic equations, describing the
spin-wave current caused by both resonantly excited spin system of conduction
electrons and by an inhomogeneous thermal field in the ferromagnetic insulator.


title: Anisotropic de Gennes narrowing in confined fluids

abstract:
  The collective diffusion of dense fluids in spatial confinement was studied
by combining high-energy (21 keV) x-ray photon correlation spectroscopy and
small-angle x-ray scattering from colloid-filled microfluidic channels. We
found the structural relaxation in confinement to be slower compared to bulk.
The collective dynamics is wave vector dependent, akin to de Gennes narrowing
typically observed in bulk fluids. However, in stark contrast to bulk, the
structure factor and de Gennes narrowing in confinement are anisotropic. These
experimental observations are essential in order to develop a microscopic
theoretical description of collective diffusion of dense fluids in confined
geometries.


title: Superprocesses over a stochastic flow with spatially dependent branching

abstract:
  We show the existence of superprocesses in a random medium with location
dependent branching. Technically, we make use of a duality relation to
establish the uniqueness of the martingale problem and to obtain the moment
formulas.


title:
Numerical solution of parabolic problems based on a weak space-time
  formulation

abstract:
  We investigate a weak space-time formulation of the heat equation and its use
for the construction of a numerical scheme. The formulation is based on a known
weak space-time formulation, with the difference that a pointwise component of
the solution, which in other works is usually neglected, is now kept. We
investigate the role of such a component by first using it to obtain a
pointwise bound on the solution and then deploying it to construct a numerical
scheme. The scheme obtained, besides being quasi-optimal in the $L^2$ sense, is
also pointwise superconvergent in the temporal nodes. We prove a priori error
estimates and we present numerical experiments to empirically support our
findings.


title:
On global solutions to the Navier-Stokes system with large
  $L^{3,\infty}$ initial data

abstract:
  This paper addresses a question concerning the behaviour of a sequence of
global solutions to the Navier-Stokes equations, with the corresponding
sequence of smooth initial data being bounded in the (non-energy class) weak
Lebesgue space $L^{3,\infty}$. It is closely related to the question of what
would be a reasonable definition of global weak solutions with a non-energy
class of initial data, including the aforementioned Lorentz space. This paper
can be regarded as an extension of a similar problem regarding the Lebesgue
space $L_3$ to the weak Lebesgue space $L^{3,\infty}$, whose norms are both
scale invariant with the respect to the Navier-Stokes scaling.


title:
Gauge symmetries and matter fields in F-theory models without section-
  compactifications on double cover and Fermat quartic K3 constructions times
  K3

abstract:
  We investigate gauge theories and matter fields in F-theory compactifications
on genus-one fibered Calabi-Yau 4-folds without a global section. In this
study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a
genus-one fibered K3 surface that lacks a section times a K3 surface. We
consider i) double covers of $\mathbb{P}^1\times\mathbb{P}^1$ ramified along a
bidegree (4,4) curve, and ii) complete intersections of two bidegree (1,2)
hypersurfaces in $\mathbb{P}^1\times\mathbb{P}^3$ to construct genus-one
fibered K3 surfaces without a section. $E_7$ gauge group arises in some
F-theory compactifications on double covers times K3. We show that the tadpole
can be cancelled for an F-theory compactification on complete intersection K3
times K3, when complete intersection K3 is isomorphic to the Fermat quartic,
and the complex structure of the other K3 surface in the direct product is
appropriately chosen.


title:
The sky is the limit: free boundary conditions in AdS$_3$ Chern-Simons
  theory

abstract:
  We test the effects of new diffeomorphism invariant boundary terms in
SL(2,R)$\times$SL(2,R) Chern-Simons theory. The gravitational interpretation
corresponds to free AdS$_3$ boundary conditions, without restrictions on the
boundary geometry. The boundary theory is the theory of a string in a target
AdS$_3$. Its Virasoro conditions can eliminate ghosts. Generalisations to
SL(N,R)$\times$SL(N,R) higher spin theories and many other questions are still
unexplored.


title: Dislocations of arbitrary topology in Coulomb eigenfunctions

abstract:
  For any finite link $L$ in $\mathbb{R}^3$ we prove the existence of a
high-energy complex-valued eigenfunction of the hydrogen atom such that its
nodal set contains a union of connected components diffeomorphic to $L$. This
problem goes back to Berry, who constructed such eigenfunctions in the case
where $L$ is the trefoil knot or the Hopf link and asked the question about the
general result.


title:
Microphone array post-filter for separation of simultaneous
  non-stationary sources

abstract:
  Microphone array post-filters have demonstrated their ability to greatly
reduce noise at the output of a beamformer. However, current techniques only
consider a single source of interest, most of the time assuming stationary
background noise. We propose a microphone array post-filter that enhances the
signals produced by the separation of simultaneous sources using common source
separation algorithms. Our method is based on a loudness-domain optimal
spectral estimator and on the assumption that the noise can be described as the
sum of a stationary component and of a transient component that is due to
leakage between the channels of the initial source separation algorithm. The
system is evaluated in the context of mobile robotics and is shown to produce
better results than current post-filtering techniques, greatly reducing
interference while causing little distortion to the signal of interest, even at
very low SNR.


title: Unconditionally convergent multipliers and Bessel sequences

abstract:
  We prove that every unconditionally summable sequence in a Hilbert space can
be factorized as the product of a square summable scalar sequence and a Bessel
sequence. Some consequences on the representation of unconditionally convergent
multipliers are obtained, thus providing positive answers to a conjecture by
Balazs and Stoeva in some particular cases.


title: Exponential Protection of Zero Modes in Majorana Islands

abstract:
  Majorana zero modes are quasiparticle excitations in condensed matter systems
that have been proposed as building blocks of fault-tolerant quantum computers
[1]. They are expected to exhibit non-Abelian particle statistics, in contrast
to the usual statistics of fermions and bosons, enabling quantum operations to
be performed by braiding isolated modes around one another. Quantum braiding
operations are topologically protected insofar as these modes are pinned near
zero energy, and the pinning is predicted to be exponential as the modes become
spatially separated. Following theoretical proposals, several experiments have
identified signatures of Majorana modes in proximitized nanowires and atomic
chains, with small mode-splitting potentially explained by hybridization of
Majoranas. Here, we use Coulomb-blockade spectroscopy in an InAs nanowire
segment with epitaxial aluminum, which forms a proximity-induced
superconducting Coulomb island (a Majorana island) that is isolated from
normal-metal leads by tunnel barriers, to measure the splitting of
near-zero-energy Majorana modes. We observe exponential suppression of energy
splitting with increasing wire length. For short devices of a few hundred
nanometers, sub-gap state energies oscillate as the magnetic field is varied,
as is expected for hybridized Majorana modes. Splitting decreases by a factor
of about ten for each half micrometer of increased wire length. For devices
longer than about one micrometer, transport in strong magnetic fields occurs
through a zero-energy state that is energetically isolated from a continuum,
yielding uniformly spaced Coulomb-blockade conductance peaks, consistent with
teleportation via Majorana modes. Our results help explain the
trivial-to-topological transition in finite systems and to quantify the scaling
of topological protection with end-mode separation.


title: Multi-Particle Diffusion Limited Aggregation

abstract:
  We consider a stochastic aggregation model on Z^d. Start with particles
located at the vertices of the lattice, initially distributed according to the
product Bernoulli measure with parameter \mu. In addition, there is an
aggregate, which initially consists of the origin. Non-aggregated particles
move as continuous time simple random walks obeying the exclusion rule, whereas
aggregated particles do not move. The aggregate grows by attaching particles to
its surface whenever a particle attempts to jump onto it. This evolution is
referred to as multi-particle diffusion limited aggregation.
  Our main result states that if on d>1 the initial density of particles is
large enough, then with positive probability the aggregate has linearly growing
arms, i.e. if F(t) denotes the point of the aggregate furthest away from the
origin at time t>0, then there exists a constant c>0 so that |F(t)|>ct, for all
t eventually.
  The key conceptual element of our analysis is the introduction and study of a
new growth process. Consider a first passage percolation process, called type
1, starting from the origin. Whenever type 1 is about to occupy a new vertex,
with positive probability, instead of doing it, it gives rise to another first
passage percolation process, called type 2, which starts to spread from that
vertex. Each vertex gets occupied only by the process that arrives to it first.
This process may have three phases: an extinction phase, where type 1 gets
eventually surrounded by type 2 clusters, a coexistence phase, where infinite
clusters of both types emerge, and a strong survival phase, where type 1
produces an infinite cluster that successfully surrounds all type 2 clusters.
Understanding the behavior of this process in its various phases is of
mathematical interest on its own right. We establish the existence of a strong
survival phase, and use this to show our main result.


title:
Explicit Solutions to the mean field equations on hyperelliptic curves
  of genus two

abstract:
  Let $X$be a complex hyperelliptic curve of genus two equipped with the
canonical metric $ds^2$. We study mean field equations on complex hyperelliptic
curves and show that the Gaussian curvature function of $(X,ds^2)$ determines
an explicit solution to a mean field equation.


title: Convergence Rates for a Class of Estimators Based on Stein's Method

abstract:
  Gradient information on the sampling distribution can be used to reduce the
variance of Monte Carlo estimators via Stein's method. An important application
is that of estimating an expectation of a test function along the sample path
of a Markov chain, where gradient information enables convergence rate
improvement at the cost of a linear system which must be solved. The
contribution of this paper is to establish theoretical bounds on convergence
rates for a class of estimators based on Stein's method. Our analysis accounts
for (i) the degree of smoothness of the sampling distribution and test
function, (ii) the dimension of the state space, and (iii) the case of
non-independent samples arising from a Markov chain. These results provide
insight into the rapid convergence of gradient-based estimators observed for
low-dimensional problems, as well as clarifying a curse-of-dimension that
appears inherent to such methods.


title: Modelling, Detrending and Decorrelation of Network Time Series

abstract:
  A network time series is a multivariate time series augmented by a graph that
describes how variables (or nodes) are connected. We introduce the network
autoregressive (integrated) moving average (NARIMA) processes: a set of
flexible models for network time series. For fixed networks the NARIMA models
are essentially equivalent to vector autoregressive moving average-type models.
However, NARIMA models are especially useful when the structure of the graph,
associated with the multivariate time series, changes over time. Such network
topology changes are invisible to standard VARMA-like models. For integrated
NARIMA models we introduce network differencing, based on the network lifting
(wavelet) transform, which removes trend. We exhibit our techniques on a
network time series describing the evolution of mumps throughout counties of
England and Wales weekly during 2005. We further demonstrate the action of
network lifting on a simple bivariate VAR(1) model with associated two-node
graph. We show theoretically that decorrelation occurs only in certain
circumstances and maybe less than expected. This suggests that the
time-decorrelation properties of spatial network lifting are due more to the
trend removal properties of lifting rather than any kind of stochastic
decorrelation.


title: A merger in the dusty, $z=7.5$ galaxy A1689-zD1?

abstract:
  The gravitationally-lensed galaxy A1689-zD1 is one of the most distant
spectroscopically confirmed sources ($z=7.5$). It is the earliest known galaxy
where the interstellar medium (ISM) has been detected; dust emission was
detected with the Atacama Large Millimetre Array (ALMA). A1689-zD1 is also
unusual among high-redshift dust emitters as it is a sub-L* galaxy and is
therefore a good prospect for the detection of gaseous ISM in a more typical
galaxy at this redshift. We observed A1689-zD1 with ALMA in bands 6 and 7 and
with the Green Bank Telescope (GBT) in band $Q$. To study the structure of
A1689-zD1, we map the mm thermal dust emission and find two spatial components
with sizes about $0.4-1.7$\,kpc (lensing-corrected). The rough spatial
morphology is similar to what is observed in the near-infrared with {\it HST}
and points to a perturbed dynamical state, perhaps indicative of a major merger
or a disc in early formation. The ALMA photometry is used to constrain the
far-infrared spectral energy distribution, yielding a dust temperature ($T_{\rm
dust} \sim 35$--$45$\,K for $\beta = 1.5-2$). We do not detect the CO(3-2) line
in the GBT data with a 95\% upper limit of 0.3\,mJy observed. We find a slight
excess emission in ALMA band~6 at 220.9\,GHz. If this excess is real, it is
likely due to emission from the [CII] 158.8\,$\mu$m line at $z_{\rm [CII]} =
7.603$. The stringent upper limits on the [CII]/$L_{\rm FIR}$ luminosity ratio
suggest a [CII] deficit similar to several bright quasars and massive
starbursts.


title: Indication of a Local "Fog" of Sub-Ankle UHECR

abstract:
  During their propagation through intergalactic space, ultrahigh energy cosmic
rays (UHECRs) interact with the background radiation fields. These interactions
give rise to energetic electron/positron pairs and photons which in turn feed
electromagnetic cascades, contributing to the isotropic gamma-ray background
(IGRB). The gamma-ray flux level generated in this way highly depends upon the
UHECR propagation distance, as well as the evolution of their sources with
redshift. Recently, the Fermi-LAT collaboration reported that the majority of
the total extragalactic gamma-ray flux originates from extragalactic point
sources. This posits a stringent upper limit on the IGRB generated via UHECR
propagation, and subsequently constrains their abundance in the distant
Universe. Focusing on the contribution of UHECR at energies below the ankle
within a narrow energy band ($(1-4)\times 10^{18}$eV), we calculate the diffuse
gamma-ray flux generated through UHECR propagation, normalizing the total
cosmic ray energy budget in this band to that measured. We find that in order
to not over-produce the new IGRB limit, a local "fog" of UHECR produced by
nearby sources may exist, with a possible non-negligible contribution from our
Galaxy. Following the assumption that a given fraction of the observed IGRB at
820GeV originates from UHECR, we obtain a constraint on the maximum distance
for the majority of their sources. With other unresolved source populations
still contaminating the new IGRB limit, and UHECR above the ankle invariably
contributing also to this background, the results presented here are rather
conservative.


title:
Unconditional security of entanglement-based continuous-variable quantum
  secret sharing

abstract:
  The need for secrecy and security is essential in communication. Secret
sharing is a conventional protocol to distribute a secret message to a group of
parties, who cannot access it individually but need to cooperate in order to
decode it. While several variants of this protocol have been investigated,
including realizations using quantum systems, the security of quantum secret
sharing schemes still remains unproven almost two decades after their original
conception. Here we establish an unconditional security proof for continuous
variable entanglement-based quantum secret sharing schemes, in the limit of
asymptotic keys and for an arbitrary number of players. We tackle the problem
by resorting to the recently developed one-sided device-independent approach to
quantum key distribution. We demonstrate theoretically the feasibility of our
scheme, which can be implemented by Gaussian states and homodyne measurements,
with no need for ideal single-photon sources or quantum memories. Our results
contribute to validating quantum secret sharing as a viable primitive for
quantum technologies.


title:
Distributed Model Predictive Control for Heterogeneous Vehicle Platoons
  under Unidirectional Topologies

abstract:
  This paper presents a distributed model predictive control (DMPC) algorithm
for heterogeneous vehicle platoons with unidirectional topologies and a priori
unknown desired set point. The vehicles (or nodes) in a platoon are dynamically
decoupled but constrained by spatial geometry. Each node is assigned a local
open-loop optimal control problem only relying on the information of
neighboring nodes, in which the cost function is designed by penalizing on the
errors between predicted and assumed trajectories. Together with this
penalization, an equality based terminal constraint is proposed to ensure
stability, which enforces the terminal states of each node in the predictive
horizon equal to the average of its neighboring states. By using the sum of
local cost functions as a Lyapunov candidate, it is proved that asymptotic
stability of such a DMPC can be achieved through an explicit sufficient
condition on the weights of the cost functions. Simulations with passenger cars
demonstrate the effectiveness of proposed DMPC.


title:
Carboxylate based molecular magnet: one path toward achieving stable
  quantum correlations at room temperature

abstract:
  The control of quantum correlations in solid state systems by means of
material engineering is a broad avenue to be explored, since it makes possible
steps toward the limits of quantum mechanics and the design of novel materials
with applications on emerging quantum technologies. In this context, this
Letter explores the potential of molecular magnets to be prototypes of
materials for quantum information technology. More precisely, we engineered a
material and from its geometric quantum discord we found significant quantum
correlations up to 9540 K (even without entanglement); and, in addition, a pure
singlet state occupied up to around 80 K (above liquid nitrogen temperature).
These results could only be achieved due to the carboxylate group promoting a
metal-to-metal huge magnetic interaction.


title:
Virtual crystal description of III-V semiconductor alloys in the tight
  binding approach

abstract:
  We propose a simple and effective approach to construct the empirical
tight-binding parameters of ternary alloys in the virtual crystal
approximation. This combines a new, compact formulation of the strain
parameters and a linear interpolation of the hamiltonians of binary materials
strained to the alloy equilibrium lattice parameter. We show that it is
possible to obtain a perfect description of the bandgap bowing of ternary
alloys in the InGaAsSb family of materials. Furthermore, this approach is in a
good agreement with supercell calculations using the same set of parameters.
This scheme opens a way for atomistic modeling of alloy-based opto-electronic
devices without extensive supercell calculations.


title: The Axiomatization of Affine Oriented Matroids Reassessed

abstract:
  In an unpublished manuscript of 1992, Johan Karlander has given an
axiomatization of affine oriented matroids. A closer examination of the text
revealed an invalid construction and an incorrect argument in the proof of his
main theorem. This paper provides an alternative argument to fix and slightly
simplify the proof of the main theorem.


title:
Evolution by mean curvature flow of Lagrangian spherical surfaces in
  complex Euclidean plane

abstract:
  We describe the evolution under the mean curvature flow of embedded
Lagrangian spherical surfaces in the complex Euclidean plane $\mathbb{C}^2$. In
particular, we answer the Question 4.7 addressed in [Ne10b] by A. Neves about
finding out a condition on a starting Lagrangian torus in $\mathbb{C}^2$ such
that the corresponding mean curvature flow becomes extinct at finite time and
converges after rescaling to the Clifford torus.


title:
Study of the process $e^+ e^- \to K\bar{K}$ in the center-of-mass energy
  range 1004--1060 MeV with the CMD-3 detector at $e^+ e^-$ VEPP-2000 collider

abstract:
  The $e^+ e^- \to K^0_{S}K^0_{L}$ and $e^+ e^- \to K^{-}K^{+}$ cross sections
have been measured in the center-of-mass energy range 1004--1060 MeV for 25
energy points with about 2$\div$3\% systematic uncertainties. The analysis is
based on 5.5 pb$^{-1}$ of integrated luminosity collected with the CMD-3
detector at the VEPP-2000 $e^+ e^-$ collider. The measured cross section is
approximated according to Vector Meson Dominance model as a sum of $\phi,
\omega, \rho$-like amplitudes and their excitations, and $\phi(1020)$ meson
parameters have been obtained.


title: A controllability Result for a Chemotaxis-Fluid Model

abstract:
  In this paper we study the controllability of a coupled
Keller-Segel-Navier-Stokes system. We show the local exact controllability of
the system around some particular trajectories. The proof relies on new
Carleman inequalities for the chemotaxis part and some improved Carleman
inequalities for the Stokes system.


title:
Method and Taxonomy for Evaluation of Distributed Control Strategies for
  Distributed Energy Resources

abstract:
  Distributed control strategies applied to power distribution control problems
are meant to offer robust and scalable integration of distributed energy
resources. However, the term "distributed control" is often loosely applied to
a variety of very different control strategies. This leads to problems in the
design phase as well as with the performance evaluation of such systems. This
paper develops a framework to assist the design and evaluation of distributed
control strategies, supported by a rigorous taxonomy of control strategies and
formal design criteria. The proposed framework and taxonomy are evaluated
against the state of the art of control strategies as found in literature.


title: Parallel Quantum Circuit in a Tunnel Junction

abstract:
  The spectrum of 1-state and 2-states per line quantum buses is used to
determine the effective $V_{ab}(N)$ electronic coupling between emitter and
receiver states through the bus as a function of the number $N$ of parallel
lines in the bus. When the calculation of $V_{ab}(N)$ is spectrally difficult,
an Heisenberg-Rabi time dependent quantum exchange process can be triggered
through the bus by preparing a specific initial non-stationanry state and
identifying a target state to capture the effective oscillation frequency
$\Omega_{ab}(N)$ between those. For $\Omega_{ab}(N)$ (for $V_{ab}(N)$), two
different regimes are observed as a function of $N$: linear and $\sqrt{N}$ more
moderate increases. This state preparation was remplaced by electronically
coupling the quantum bus to two semi-infinite electrodes. The native quantum
transduction process at work in this tunnel junction is not faithfully
following the $\Omega_{ab}(N)$ variations with $N$. Due to normalisation to
unity of the electronic transparency of the quantum bus and to the low pass
filter character of the transduction, large $\Omega_{ab}(N)$ cannot be followed
by the tunnel junction. At low coupling and when $N$ is small enough not to
compensate the small through line coupling, an $N^2$ power law is preserved for
$\Omega_{ab}(N)$. The limitations of the quantum transduction in a tunnel
junction is pointing how the broadly used concept of electrical contact between
a metallic nanopad and a molecular wire can be better described as a quantum
transduction process.


title: Instance-Aware Hashing for Multi-Label Image Retrieval

abstract:
  Similarity-preserving hashing is a commonly used method for nearest neighbour
search in large-scale image retrieval. For image retrieval, deep-networks-based
hashing methods are appealing since they can simultaneously learn effective
image representations and compact hash codes. This paper focuses on
deep-networks-based hashing for multi-label images, each of which may contain
objects of multiple categories. In most existing hashing methods, each image is
represented by one piece of hash code, which is referred to as semantic
hashing. This setting may be suboptimal for multi-label image retrieval. To
solve this problem, we propose a deep architecture that learns
\textbf{instance-aware} image representations for multi-label image data, which
are organized in multiple groups, with each group containing the features for
one category. The instance-aware representations not only bring advantages to
semantic hashing, but also can be used in category-aware hashing, in which an
image is represented by multiple pieces of hash codes and each piece of code
corresponds to a category. Extensive evaluations conducted on several benchmark
datasets demonstrate that, for both semantic hashing and category-aware
hashing, the proposed method shows substantial improvement over the
state-of-the-art supervised and unsupervised hashing methods.


title: UTSig: A Persian Offline Signature Dataset

abstract:
  The pivotal role of datasets in signature verification systems motivates
researchers to collect signature samples. Distinct characteristics of Persian
signature demands for richer and culture-dependent offline signature datasets.
This paper introduces a new and public Persian offline signature dataset,
UTSig, that consists of 8280 images from 115 classes. Each class has 27 genuine
signatures, 3 opposite-hand signatures, and 42 skilled forgeries made by 6
forgers. Compared with the other public datasets, UTSig has more samples, more
classes, and more forgers. We considered various variables including signing
period, writing instrument, signature box size, and number of observable
samples for forgers in the data collection procedure. By careful examination of
main characteristics of offline signature datasets, we observe that Persian
signatures have fewer numbers of branch points and end points. We propose and
evaluate four different training and test setups for UTSig. Results of our
experiments show that training genuine samples along with opposite-hand samples
and random forgeries can improve the performance in terms of equal error rate
and minimum cost of log likelihood ratio.


title:
Pymanopt: A Python Toolbox for Optimization on Manifolds using Automatic
  Differentiation

abstract:
  Optimization on manifolds is a class of methods for optimization of an
objective function, subject to constraints which are smooth, in the sense that
the set of points which satisfy the constraints admits the structure of a
differentiable manifold. While many optimization problems are of the described
form, technicalities of differential geometry and the laborious calculation of
derivatives pose a significant barrier for experimenting with these methods.
  We introduce Pymanopt (available at https://pymanopt.github.io), a toolbox
for optimization on manifolds, implemented in Python, that---similarly to the
Manopt Matlab toolbox---implements several manifold geometries and optimization
algorithms. Moreover, we lower the barriers to users further by using automated
differentiation for calculating derivative information, saving users time and
saving them from potential calculation and implementation errors.


title: Geometric origin of superfluidity in the Lieb lattice flat band

abstract:
  The ground state and transport properties of the Lieb lattice flat band in
the presence of an attractive Hubbard interaction are considered. It is shown
that the superfluid weight can be large even for an isolated and strictly flat
band. Moreover the superfluid weight is proportional to the interaction
strength and to the quantum metric, a band structure invariant obtained from
the flat-band Bloch functions. These predictions are amenable to verification
with ultracold gases and may explain the anomalous behaviour of the superfluid
weight of high-Tc superconductors.


title:
Using numerical plant models and phenotypic correlation space to design
  achievable ideotypes

abstract:
  Numerical plant models can predict the outcome of plant traits modifications
resulting from genetic variations, on plant performance, by simulating
physiological processes and their interaction with the environment.
Optimization methods complement those models to design ideotypes, i.e. ideal
values of a set of plant traits resulting in optimal adaptation for given
combinations of environment and management, mainly through the maximization of
a performance criteria (e.g. yield, light interception). As use of simulation
models gains momentum in plant breeding, numerical experiments must be
carefully engineered to provide accurate and attainable results, rooting them
in biological reality. Here, we propose a multi-objective optimization
formulation that includes a metric of performance, returned by the numerical
model, and a metric of feasibility, accounting for correlations between traits
based on field observations. We applied this approach to two contrasting
models: a process-based crop model of sunflower and a functional-structural
plant model of apple trees. In both cases, the method successfully
characterized key plant traits and identified a continuum of optimal solutions,
ranging from the most feasible to the most efficient. The present study thus
provides successful proof of concept for this enhanced modeling approach, which
identified paths for desirable trait modification, including direction and
intensity.


title: Elasticity of fibrous networks under axial prestress

abstract:
  We present theoretical and experimental studies of the elastic response of
fibrous networks subjected to uniaxial strain. Uniaxial compression or
extension is applied to extracellular networks of fibrin and collagen using a
shear rheometer with free water in/outflow. Both axial stress and the network
shear modulus are measured. Prior work [van Oosten et al., Scientific Reports,
2015, 6, 19270] has shown softening/stiffening of these networks under
compression/extension, together with a nonlinear response to shear, but the
origin of such behaviour remains poorly understood. Here, we study how uniaxial
strain influences the nonlinear mechanics of fibrous networks. Using a
computational network model with bendable and stretchable fibres, we show that
the softening/stiffening behaviour can be understood for fixed lateral
boundaries in 2D and 3D networks with comparable average connectivities to the
experimental extracellular networks. Moreover, we show that the onset of
stiffening depends strongly on the imposed uniaxial strain. Our study
highlights the importance of both axial strain and boundary conditions in
determining the mechanical response of hydrogels.


title: The XXL Survey: VI. The 1000 brightest X-ray point sources

abstract:
  X-ray extragalactic surveys are ideal laboratories for the study of the
evolution and clustering of active galactic nuclei (AGN). The XXL Survey spans
two fields of a combined 50 $deg^2$ observed for more than 6Ms with XMM-Newton,
occupying the parameter space between deep surveys and very wide area surveys;
at the same time it benefits from a wealth of ancillary data. This paper marks
the first release of the XXL point source catalogue selected in the 2-10 keV
energy band with limiting flux
$F_{2-10keV}=4.8\cdot10^{-14}\rm{erg\,s^{-1}\,cm^{-2}}$. We use both public and
proprietary data sets to identify the counterparts of the X-ray point-like
sources and improved upon the photometric redshift determination for AGN by
applying a Random Forest classification trained to identify for each object the
optimal photometric redshift model library. We also assign a probability to
each source to be a star or an outlier. We model with Bayesian analysis the
X-ray spectra assuming a power-law model with the presence of an absorbing
medium. We find an average unabsorbed photon index of $\Gamma=1.85$ and average
hydrogen column density $\log{N_{H}}=21.07 cm^{-2}$. We find no trend of
$\Gamma$ or $N_H$ with redshift and a fraction of 26% absorbed sources ($\log
N_{H}>22$). We show that the XXL-1000-AGN number counts extended the number
counts of the COSMOS survey to higher fluxes and are fully consistent with the
Euclidean expectation. We constrain the intrinsic luminosity function of AGN in
the 2-10 keV energy band where the unabsorbed X-ray flux is estimated from the
X-ray spectral fit up to z=3. Finally, we demonstrate the presence of a
supercluster size structure at redshift 0.14, identified by means of
percolation analysis of the XXL-1000-AGN sample. The XXL survey, reaching a
medium flux limit and covering a wide area is a stepping stone between current
deep fields and planned wide area surveys.


title: Generating matrix of the bi-periodic Lucas numbers

abstract:
  In this paper, firstly, we introduce the Q_{l}-Generating matrix for the
bi-periodic Lucas numbers. Then, by taking into account this matrix
representation, we obtain some properties for the bi-periodic Fibonacci and
Lucas numbers.


title:
Magnetic States, Correlation Effects and Metal-Insulator Transition in
  FCC Lattice

abstract:
  The ground-state magnetic phase diagram (including collinear and spiral
states) of the single-band Hubbard model for the face-centered cubic lattice
and related metal-insulator transition (MIT) are investigated within the
slave-boson approach by Kotliar and Ruckenstein. The correlation induced
electronic spectrum narrowing and a comparison with a generalized Hartree-Fock
approximation allow one to estimate the strength of correlation effects. This,
as well as the MIT scenario, depends dramatically on the ratio of the
next-nearest and nearest electron hopping integrals $t'/t$. In contrast with
metallic state, possessing strong band narrowing, insulator one is only weakly
correlated. The magnetic (Slater) scenario of MIT is found to be superior over
the Mott one. Unlike simple and body-centered cubic lattices, MIT is the first
order transition for most $t'/t$. The insulator state is type-II or type-III
antiferromagnet, and the metallic state is spin-spiral, collinear
antiferromagnet or paramagnet depending on $t'/t$. The picture of magnetic
ordering is compared with that in the standard localized-electron (Heisenberg)
model.


title: Extrasolar planets as a probe of modified gravity

abstract:
  We propose a new method to test modified gravity theories, taking advantage
of the available data on extrasolar planets. We computed the deviations from
the Kepler third law and use that to constrain gravity theories beyond General
Relativity. We investigate gravity models which incorporate three screening
mechanisms: the Chameleon, the Symmetron and the Vainshtein. We find that data
from exoplanets orbits are very sensitive to the screening mechanisms putting
strong constraints in the parameter space for the Chameleon models and the
Symmetron, complementary and competitive to other methods, like interferometers
and solar system. With the constraints on Vainshtein we are able to work beyond
the hypothesis that the crossover scale is of the same order of magnitude than
the Hubble radius $r_c \sim H_0^{-1}$, which makes the screening work
automatically, testing how strong this hypothesis is and the viability of other
scales.


title: Pressure-induced commensurate stacking of graphene on boron nitride

abstract:
  Combining atomically-thin van der Waals materials into heterostructures
provides a powerful path towards the creation of designer electronic devices.
The interaction strength between neighboring layers, most easily controlled
through their interlayer separation, can have significant influence on the
electronic properties of these composite materials. Here, we demonstrate
unprecedented control over interlayer interactions by locally modifying the
interlayer separation between graphene and boron nitride, which we achieve by
applying pressure with a scanning tunneling microscopy tip. For the special
case of aligned or nearly-aligned graphene on boron nitride, the graphene
lattice can stretch and compress locally to compensate for the slight lattice
mismatch between the two materials. We find that modifying the interlayer
separation directly tunes the lattice strain and induces commensurate stacking
underneath the tip. Our results motivate future studies tailoring the
electronic properties of van der Waals heterostructures by controlling the
interlayer separation of the entire device using hydrostatic pressure.


title: Dichotomy of entanglement depth for symmetric states

abstract:
  Entanglement depth characterizes the minimal number of particles in a system
that are mutually entangled. For symmetric states, we show that there is a
dichotomy for entanglement depth: an $N$-particle symmetric state is either
fully separable, or fully entangled---the entanglement depth is either $1$ or
$N$. This property is even stable under non-symmetric noise. We propose an
experimentally accessible method to detect entanglement depth in atomic
ensembles based on a bound on the particle number population of Dicke states,
and demonstrate that the entanglement depth of some Dicke states, for example
the twin Fock state, is very stable even under a large arbitrary noise. Our
observation can be applied to atomic Bose-Einstein condensates to infer that
these systems can be highly entangled with the entanglement depth that is of
the order of the system size (i.e. several thousands of atoms).


title: Inertial quantum sensors using light and matter

abstract:
  The past few decades have seen dramatic progress in our ability to manipulate
and coherently control matter-waves. Although the duality between particles and
waves has been well tested since de Broglie introduced the matter-wave analog
of the optical wavelength in 1924, manipulating atoms with a level of coherence
that enables one to use these properties for precision measurements has only
become possible with our ability to produce atomic samples exhibiting
temperatures of only a few millionths of a degree above absolute zero. Since
the initial experiments a few decades ago, the field of atom optics has
developed in many ways, with both fundamental and applied significance. The
exquisite control of matter waves offers the prospect of a new generation of
force sensors exhibiting unprecedented sensitivity and accuracy, for
applications from navigation and geophysics to tests of general relativity.
Thanks to the latest developments in this field, the first commercial products
using this quantum technology are now available. In the future, our ability to
create large coherent ensembles of atoms will allow us an even more precise
control of the matter-wave and the ability to create highly entangled states
for non-classical atom interferometry.

categories: physics.atom-ph gr-qc physics.ins-det quant-ph


title: Bose-condensed atomic systems with nonlocal interaction potentials

abstract:
  The general approach for describing systems with Bose-Einstein condensate,
where atoms interact through nonlocal pair potentials, is presented. A special
attention is paid to nonintegrable potentials, such as the dipolar interaction
potential. The potentials that are not absolutely integrable can have not well
defined Fourier transforms. Using formally such not defined Fourier transforms
leads to unphysical conclusions. For making the Fourier transform well defined,
the interaction potential has to be regularized. This is illustrated by the
example of dipolar interactions.


title:
On Energy Cooperation in Energy Harvesting Underlay Cognitive Radio
  Network

abstract:
  In this paper, we consider an energy harvesting cognitive radio network
(EH-CRN), where a primary and a secondary user coexist in underlay mode. Both
the transmitters have energy harvesting capability and are equipped with finite
capacity battery to store the harvested energy. In addition, the secondary user
(SU) has an independent energy transfer unit such that it can transfer some
portion of it's harvested energy to the primary user (PU). We obtain an optimal
transmit power and energy transfer policy for single-slot and a suboptimal
policy for multi-slot scenario maximizing the number of bits transmitted by SU
under the primary sum-rate constraint in an offline setting. For both cases,
the effect of energy cooperation on the system performance is studied and it is
observed that energy cooperation results in higher SU throughput.


title: Stability and dynamics of anisotropically-tumbling chemotactic swimmers

abstract:
  Micro-swimmers such as bacteria perform random walks known as run-and-tumbles
to move up chemo-attractant gradients and as a result aggregate with others. It
is also known that such micro-swimmers can self-organize into macroscopic
patterns due to interactions with neighboring cells through the fluidic
environment they live in. While the pattern formation resulting from
chemotactic and hydrodynamic interactions separately and together have been
previously investigated, the effect of the anisotropy in the tumbles of
micro-swimmers has been unexplored. Here we show through linear analysis and
full nonlinear simulations that the slight anisotropy in the individual swimmer
tumbles can alter the collective pattern formation in non-trivial ways. We show
that tumbling anisotropy diminishes the magnitude of the chemotactic aggregates
but may result in more such aggregation peaks.


title:
Large production rate of new $B^0_s \pi^{\pm}$ and $D^{\pm}_s \pi^{\pm}$
  states in high energy multi-production process

abstract:
  The production rate of the X(5568) observed by D0 collabotation is quite
large and can not be understood by various general hadronization mechanism. We
propose an inclusive resonance production formulation to calculate the cross
section and extract the value of the effective wave function at origin. Based
on these results we suspect X($D_s \pi^{\pm}$) can be copiously produced and
observable at high enenrgy scatterings (the relative production ratio to D_s is
larger than 10 %).
  In the updated version the discussions on cluster model and FI are added.
Both cases can not give large rate.
  Then we show that pion in X(5568) decay can only gain a very small momentum.
In the pseudo-rapidity region [2,5], large part of the signal pions will be
dismissed by the detector since the transverse mometum is too small and/or
total momentum too small. If further requirement on pion tranverse mometum
larger than 1GeV/c added, almost all signal pions are rejected. But for the
charm partner, this problem does not exist since the charm partner can give a
larger boost factor. A 3D distribution of signal pions are added


title: A Markovian-based Approach for Daily Living Activities Recognition

abstract:
  Recognizing the activities of daily living plays an important role in
healthcare. It is necessary to use an adapted model to simulate the human
behavior in a domestic space to monitor the patient harmonically and to
intervene in the necessary time. In this paper, we tackle this problem using
the hierarchical hidden Markov model for representing and recognizing complex
indoor activities. We propose a new grammar, called "Home By Room Activities
Language", to facilitate the complexity of human scenarios and consider the
abnormal activities.


title: Extension of PRISM by Synthesis of Optimal Timeouts in Fixed-Delay CTMC

abstract:
  We present a practically appealing extension of the probabilistic model
checker PRISM rendering it to handle fixed-delay continuous-time Markov chains
(fdCTMCs) with rewards, the equivalent formalism to the deterministic and
stochastic Petri nets (DSPNs). fdCTMCs allow transitions with fixed-delays (or
timeouts) on top of the traditional transitions with exponential rates. Our
extension supports an evaluation of expected reward until reaching a given set
of target states. The main contribution is that, considering the fixed-delays
as parameters, we implemented a synthesis algorithm that computes the
epsilon-optimal values of the fixed-delays minimizing the expected reward. We
provide a performance evaluation of the synthesis on practical examples.


title: Engineering charge ordering into multiferroicity

abstract:
  Multiferroic materials have attracted great interests but are rare in nature.
In many transitional metal oxides, charge ordering and magnetic ordering
coexist, so that a method of engineering charge-ordered materials into
ferroelectric materials would lead to a large class of multiferroic materials.
We propose a strategy for designing new ferroelectric or even multiferroic
materials by inserting a spacing layer into each two layers of charge-ordered
materials and artificially making a superlattice. One example of the model
demonstrated here is the perovskite (LaFeO$_3$)$_2$/LaTiO$_3$ (111)
superlattice, in which the LaTiO$_3$ layer acts as the donor and the spacing
layer, and the LaFeO$_3$ layer is half doped and performs charge ordering. The
collaboration of the charge ordering and the spacing layer breaks the space
inversion symmetry, resulting in a large ferroelectric polarization. As the
charge ordering also leads to a ferrimagnetic structure, the
(LaFeO$_3$)$_2$/LaTiO$_3$ is multiferroic. It is expected that this work can
encourage the designing and experimentally implementation of a large class of
multiferroic structures with novel properties.


title: Critical window for connectivity in the Configuration Model

abstract:
  We identify the asymptotic probability of a configuration model
$\mathrm{CM}_n(\boldsymbol{d})$ to produce a connected graph within its
critical window for connectivity that is identified by the number of vertices
of degree 1 and 2, as well as the expected degree. In this window, the
probability that the graph is connected converges to a non-trivial value, and
the size of the complement of the giant component weakly converges to a finite
random variable. Under a finite second moment condition we also derive the
asymptotics of the connectivity probability conditioned on simplicity, from
which the asymptotic number of simple connected graphs with a prescribed degree
sequence follows.


title:
Hidden quantum mirage by negative refraction in semiconductor P-N
  junctions

abstract:
  We predict a novel quantum interference based on the negative refraction
across a semiconductor P-N junction: with a local pump on one side of the
junction, the response of a local probe on the other side behaves as if the
disturbance emanates not from the pump but instead from its mirror image about
the junction. This phenomenon is guaranteed by translational invariance of the
system and matching of Fermi surfaces of the constituent materials, thus it is
robust against other details of the junction (e.g., junction width, potential
profile, and even disorder). The recently fabricated P-N junctions in 2D
semiconductors provide ideal platforms to explore this phenomenon and its
applications to dramatically enhance charge and spin transport as well as
carrier-mediated long-range correlation.


title:
On the Raman Spectrum of Plutonium dioxide: vibrational and crystal
  electric field modes

abstract:
  The Raman spectrum of plutonium dioxide is studied both experimentally and
theoretically. Particular attention has been devoted to the identification of
high-energy modes at $2120$ cm$^{-1}$ and $2625$ cm$^{-1}$, the attribution of
which has so far been controversial. The temperature dependence of both modes
suggests an electronic origin. Crystal Field (CF) calculations reported in this
work shows that these two modes can be respectively assigned to the
${\Gamma}_{1}$ $\rightarrow$ ${\Gamma}_{5}$ and ${\Gamma}_{1}$ $\rightarrow $
${\Gamma}_{3}$ CF transitions within the $^{5}I_{4}$ manifold. These two modes,
together with the only vibrational line foreseen by the group theory for the
Fm${-3}$m PuO$_{2}$ symmetry the T$_{2g}$ PuO stretching mode observed at $478$
cm$^{-1}$ can thus be used as Raman fingerprint of fcc plutonium dioxide.


title:
Observation of $D^0\to \rho^0\gamma$ and search for $CP$ violation in
  radiative charm decays

abstract:
  We report the first observation of the radiative charm decay $D^0 \to \rho^0
\gamma$ and the first search for $CP$ violation in decays $D^0 \to \rho^0
\gamma$, $\phi\gamma$, and $\overline{K}{}^{*0} \gamma$, using a data sample of
943 fb$^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy
$e^+e^-$ collider. The branching fraction is measured to be $\mathcal{B}(D^0
\to \rho^0 \gamma)=(1.77 \pm 0.30 \pm 0.07) \times 10^{-5}$, where the first
uncertainty is statistical and the second is systematic. The obtained $CP$
asymmetries, $\mathcal{A}_{CP}(D^0 \to \rho^0 \gamma)=+0.056 \pm 0.152 \pm
0.006$, $\mathcal{A}_{CP}(D^0 \to \phi \gamma)=-0.094 \pm 0.066 \pm 0.001$, and
$\mathcal{A}_{CP}(D^0 \to \overline{K}{}^{*0} \gamma)=-0.003 \pm 0.020 \pm
0.000$, are consistent with no $CP$ violation. We also present an improved
measurement of the branching fractions $\mathcal{B}(D^0 \to \phi \gamma)=(2.76
\pm 0.19 \pm 0.10) \times 10^{-5}$ and $\mathcal{B}(D^0 \to \overline{K}{}^{*0}
\gamma)=(4.66 \pm 0.21 \pm 0.21) \times 10^{-4}$.


title: Observations of solar X-ray and EUV jets and their related phenomena

abstract:
  Solar jets are fast-moving, elongated brightenings related to ejections seen
in both images and spectra on all scales from barely visible chromospheric jets
to coronal jets extending up to a few solar radii. The largest, most powerful
jets are the source of type III radio bursts, energetic electrons and ions with
greatly enhanced $^3$He and heavy element abundances. The frequent coronal jets
from polar and equatorial coronal holes may contribute to the solar wind. The
primary acceleration mechanism for all jets is believed to be release of
magnetic stress via reconnection; however the energy buildup depends on the
jets' source environment. In this review, we discuss how certain features of
X-ray and EUV jets, such as their repetition rate and association with radio
emission, depends on their underlying photospheric field configurations (active
regions, polar and equatorial coronal holes, and quiet Sun).


title:
Hopf algebra structure of generalized quasi-symmetric functions in
  partially commutative variables

abstract:
  We introduce a coloured generalization $\mathrm{NSym}_A$ of the Hopf algebra
of non-commutative symmetric functions described as a subalgebra of the of
rooted ordered coloured trees Hopf algebra. Its natural basis can be identified
with the set of sentences over alphabet $A$ (the set of colours). We present
also its graded dual algebra $\mathrm{QSym}_A$ of coloured quasi-symmetric
functions together with its realization in terms of power series in partially
commutative variables. We provide formulas expressing multiplication,
comultiplication and the antipode for these Hopf algebras in various bases --
the corresponding generalizations of the complete homogeneous, elementary,
ribbon Schur and power sum bases of $\mathrm{NSym}$, and the monomial and
fundamental bases of $\mathrm{QSym}$. We study also certain distinguished
series of trees in the setting of restricted duals to Hopf algebras.


title:
Compatibility of the Large Quasar Groups with the Concordance
  Cosmological Model

abstract:
  We study the compatibility of large quasar groups with the concordance
cosmological model. Large Quasar Groups are very large spatial associations of
quasars in the cosmic web, with sizes of 50-250h^-1 Mpc. In particular, the
largest large quasar group known, named Huge-LQG, has a longest axis of
~860h^-1 Mpc, larger than the scale of homogeneity (~260 Mpc), which has been
noted as a possible violation of the cosmological principle. Using mock
catalogues constructed from the Horizon Run 2 cosmological simulation, we found
that large quasar groups size, quasar member number and mean overdensity
distributions in the mocks agree with observations. The Huge-LQG is found to be
a rare group with a probability of 0.3 per cent of finding a group as large or
larger than the observed, but an extreme value analysis shows that it is an
expected maximum in the sample volume with a probability of 19 per cent of
observing a largest quasar group as large or larger than Huge-LQG. The Huge-LQG
is expected to be the largest structure in a volume at least 5.3 +- 1 times
larger than the one currently studied.


title:
$^9$Be elastic scattering on $^{208}$Pb and $^{27}$Al within a four-body
  reaction framework

abstract:
  We investigate the low-energy $^9$Be elastic scattering on two different
targets (heavy, light) within a four-body framework using the
Continuum-Discretized Coupled-Channels (CDCC) method. The $^9$Be projectile is
described in a $\alpha + \alpha + n$ three-body model using the analytical
transformed harmonic oscillator (THO) basis in hyperspherical coordinates. We
show that continuum couplings are important to describe the elastic cross
section, especially at low energies and on heavy targets. The dipolar
contribution to the elastic cross section at energies around the Coulomb
barrier is important but small compared to the case of halo nuclei. The effect
of the projectile low-energy resonances is also relevant. The agreement with
the available experimental data supports the reliability of the method to
describe reactions induced by three-body projectiles including more than one
charged particle.


title: On the ring of local unitary invariants for mixed X-states of two qubits

abstract:
  Entangling properties of a mixed 2-qubit system can be described by the local
homogeneous unitary invariant polynomials in elements of the density matrix.
The structure of the corresponding invariant polynomial ring for the special
subclass of states, the so-called mixed X-states, is established. It is shown
that for the X-states there is an injective ring homomorphism of the quotient
ring of SU(2)xSU(2) invariant polynomials modulo its syzygy ideal and the
SO(2)xSO(2)-invariant ring freely generated by five homogeneous polynomials of
degrees 1,1,1,2,2.


title:
Spin Dynamics in Bilayer Graphene : Role of Electron-Hole Puddles and
  the Dyakonov-Perel Mechanism

abstract:
  We report on spin transport features which are unique to high quality bilayer
graphene, in absence of magnetic contaminants and strong intervalley mixing.
The time-dependent spin polarization of propagating wavepacket is computed
using an efficient quantum transport method. In the limit of vanishing effects
of substrate and disorder, the energy-dependence of spin lifetime is similar to
monolayer graphene with a M-shape profile and minimum value at the charge
neutrality point, but with an electron-hole asymmetry fingerprint. In sharp
contrast, the incorporation of substrate-induced electron-hole puddles
(characteristics of supported graphene either on SiO2 orhBN) surprisingly
results in a large enhancement of the low-energy spin lifetime and a lowering
of its high-energy values. Such feature, unique to bilayer, is explained in
terms of a reinforced Dyakonov-Perel mechanism at the Dirac point, whereas spin
relaxation at higher energies is driven by pure dephasing effects. This
suggests further electrostatic control of the spin transport length scales in
graphene devices.


title:
The Cologne Database for Molecular Spectroscopy, CDMS, in the Virtual
  Atomic and Molecular Data Centre, VAMDC

abstract:
  The CDMS was founded 1998 to provide in its catalog section line lists of
molecular species which may be observed in various astronomical sources using
radio astronomy. The line lists contain transition frequencies with qualified
accuracies, intensities, quantum numbers, as well as further auxilary
information. They have been generated from critically evaluated experimental
line lists, mostly from laboratory experiments, employing established
Hamiltonian models. Seperate entries exist for different isotopic species and
usually also for different vibrational states. As of December 2015, the number
of entries is 792. They are available online as ascii tables with additional
files documenting information on the entries. The Virtual Atomic and Molecular
Data Centre was founded more than 5 years ago as a common platform for atomic
and molecular data. This platform facilitates exchange not only between
spectroscopic databases related to astrophysics or astrochemistry, but also
with collisional and kinetic databases. A dedicated infrastructure was
developed to provide a common data format in the various databases enabling
queries to a large variety of databases on atomic and molecular data at once.
For CDMS, the incorporation in VAMDC was combined with several modifications on
the generation of CDMS catalog entries. Here we introduce related changes to
the data structure and the data content in the CDMS. The new data scheme allows
us to incorporate all previous data entries but in addition allows us also to
include entries based on new theoretical descriptions. Moreover, the CDMS
entries have been transferred into a mySQL database format. These developments
within the VAMDC framework have been driven by the needs of the astronomical
community to be able to deal efficiently with large data sets obtained with the
Herschel Space Telescope or, more recently, with the Atacama Large Millimeter
Array.

categories: astro-ph.IM astro-ph.EP astro-ph.GA astro-ph.SR


title: Dynamics and optimal control of Ebola transmission

abstract:
  A major Ebola outbreak occurs in West Africa since March 2014, being the
deadliest epidemic in history. As an infectious disease epidemiology, Ebola is
the most lethal and is moving faster than in previous outbreaks. On 8 August
2014, the World Health Organization (WHO) declared the outbreak a public health
emergency of international concern. Last update on 7 July 2015 by WHO reports
27 609 cases of Ebola with a total of 11 261 deaths. In this work, we present a
mathematical description of the spread of Ebola virus based on the SEIR
(Susceptible-Exposed-Infective-Recovered) model and optimal strategies for
Ebola control. In order to control the propagation of the virus and to predict
the impact of vaccine programmes, we investigate several strategies of optimal
control of the spread of Ebola: control infection by vaccination of
susceptible; minimize exposed and infected; reduce Ebola infection by
vaccination and education.


title: Topological Phenomena in Classical Optical Networks

abstract:
  We propose a scheme to realize a topological insulator with optical-passive
elements, and analyze the effects of Kerr-nonlinearities in its topological
behavior. In the linear regime, our design gives rise to an optical spectrum
with topological features and where the bandwidths and bandgaps are
dramatically broadened. The resulting edge modes cover a very wide frequency
range. We relate this behavior to the fact that the effective Hamiltonian
describing the system's amplitudes is long-range. We also develop a method to
analyze the scheme in the presence of a Kerr medium. We assess robustness and
stability of the topological features, and predict the presence of chiral
squeezed fluctuations at the edges in some parameter regimes.


title: Hierarchical Linearly-Solvable Markov Decision Problems

abstract:
  We present a hierarchical reinforcement learning framework that formulates
each task in the hierarchy as a special type of Markov decision process for
which the Bellman equation is linear and has analytical solution. Problems of
this type, called linearly-solvable MDPs (LMDPs) have interesting properties
that can be exploited in a hierarchical setting, such as efficient learning of
the optimal value function or task compositionality. The proposed hierarchical
approach can also be seen as a novel alternative to solving LMDPs with large
state spaces. We derive a hierarchical version of the so-called Z-learning
algorithm that learns different tasks simultaneously and show empirically that
it significantly outperforms the state-of-the-art learning methods in two
classical hierarchical reinforcement learning domains: the taxi domain and an
autonomous guided vehicle task.


title:
New transit observations for HAT-P-30 b, HAT-P-37 b, TrES-5 b, WASP-28
  b, WASP-36 b, and WASP-39 b

abstract:
  We present new transit light curves for planets in six extrasolar planetary
systems. They were acquired with 0.4-2.2 m telescopes located in west Asia,
Europe, and South America. When combined with literature data, they allowed us
to redetermine system parameters in a homogeneous way. Our results for
individual systems are in agreement with values reported in previous studies.
We refined transit ephemerides and reduced uncertainties of orbital periods by
a factor between 2 and 7. No sign of any variations in transit times was
detected for the planets studied.


title:
Connected-Sum Decompositions of Surfaces with Minimally-Intersecting
  Filling Pairs

abstract:
  Let $ S_g $ be a closed surface of genus $ g $ and let $ (\alpha, \beta) $ be
a filling pair on $ S_g $; then $ i(\alpha, \beta) \geq 2g-1 $, where $ i $ is
the (geometric) intersection number. Aougab and Huang demonstrated that
(exponentially many) minimally-intersecting filling pairs exist on $ S_g $ when
$ g > 2 $ by a construction which produces higher-genus surfaces with filling
pairs as connected sums of lower-genus surfaces with filling pairs. We present
a generalization of their construction which provides an explicit, algebraic
means of determining the homeomorphism class of the resulting pair, and a
criterion for determining when a surface with minimally-intersecting filling
pair admits a decomposition as a connected sum.


title: New Bi-Gravity from New Massive Garvity

abstract:
  Using the action of three dimensional New Massive Gravity (NMG) we construct
a new bi-gravity in three dimensions. This can be done by promoting the rank
two auxiliary field appearing in the expression of NMG's action into a
dynamical field. We show that small fluctuations around the AdS vacuum of the
model are non-tachyonic and ghost free within certain range of the parameters
of the model. We study central charges of the dual field theory and observe
that in this range they are positive too. This suggests that the proposed model
might be a consistent three dimensional bi-gravity.


title:
On abstract representations of the groups of rational points of
  algebraic groups in positive characteristic

abstract:
  We analyze the structure of a large class of connected algebraic rings over
an algebraically closed field of positive characteristic using Greenberg's
perfectization functor. We then give applications to rigidity problems for
representations of Chevalley groups, recovering, in particular, a rigidity
theorem of Seitz.


title: Feferman's Forays into the Foundations of Category Theory

abstract:
  This paper is primarily concerned with assessing a set-theoretical system,
$S^*$, for the foundations of category theory suggested by Solomon Feferman.
$S^*$ is an extension of NFU, and may be seen as an attempt to accommodate
unrestricted categories such as the category of all groups (without any
small/large restrictions), while still obtaining the benefits of ZFC on part of
the domain. A substantial part of the paper is devoted to establishing an
improved upper bound on the consistency strength of $S^*$. The assessment of
$S^*$ as a foundation of category theory is framed by the following general
desiderata (R) and (S). (R) asks for the unrestricted existence of the category
of all groups, the category of all categories, the category of all functors
between two categories, etc., along with natural implementability of ordinary
mathematics and category theory. (S) asks for a certain relative distinction
between large and small sets, and the requirement that they both enjoy the full
benefits of the $\mathrm{ZFC}$ axioms. $S^*$ satisfies (R) simply because it is
an extension of NFU. By means of a recursive construction utilizing the notion
of strongly cantorian sets, we argue that it also satisfies (S). Moreover, this
construction yields a lower bound on the consistency strength of $S^*$. We also
exhibit a basic positive result for category theory internal to NFU that
provides motivation for studying NFU-based foundations of category theory.


title:
Spin and quadrupolar orders in the spin-1 bilinear-biquadratic model for
  iron-based superconductors

abstract:
  Motivated by recent experimental and theoretical progresses of the magnetic
properties of iron-based superconductors, we provide a comprehensive analysis
of the spin-1 bilinear-biquadratic (BBQ) model on the square lattice. Using
variational approach in the mean-field level, we identify the existence of
various magnetic phases, including conventional spin dipolar orderings (ferro-
or antiferromagnet), novel quadrupolar (spin nematic) orderings and mixed
dipolar-quadrupolar orderings. In contrast to the usual Heisenberg model, the
elementary excitations of the spin-1 BBQ model are described by the flavor-wave
theory within the SU(3) representation. By fitting the experimental spin-wave
dispersion, we determine the refined exchange couplings corresponding to the
collinear antiferromagnetic iron pnictides. We also present the dynamic
structure factors of both spin dipolar and quadrupolar components with
connections to the future experiments.


title:
High-resolution Imaging of Transiting Extrasolar Planetary systems
  (HITEP). I. Lucky imaging observations of 101 systems in the southern
  hemisphere

abstract:
  (abridged) Context. Wide binaries are a potential pathway for the formation
of hot Jupiters. The binary fraction among host stars is an important
discriminator between competing formation theories, but has not been well
characterised. Additionally, contaminating light from unresolved stars can
significantly affect the accuracy of photometric and spectroscopic measurements
in studies of transiting exoplanets. Aims. We observed 101 transiting exoplanet
host systems in the Southern hemisphere in order to create a homogeneous
catalogue of both bound companion stars and contaminating background stars. We
investigate the binary fraction among the host stars in order to test theories
for the formation of hot Jupiters, in an area of the sky where transiting
exoplanetary systems have not been systematically searched for stellar
companions. Methods. Lucky imaging observations from the Two Colour Instrument
on the Danish 1.54m telescope at La Silla were used to search for previously
unresolved stars at small angular separations. The separations and relative
magnitudes of all detected stars were measured. For 12 candidate companions to
10 host stars, previous astrometric measurements were used to evaluate how
likely the companions are to be physically associated. Results. We provide
measurements of 499 candidate companions within 20 arcseconds of our sample of
101 planet host stars. 51 candidates are located within 5 arcseconds of a host
star, and we provide the first published measurements for 27 of these.
Calibrations for the plate scale and colour performance of the Two Colour
Instrument are presented. Conclusions. We find that the overall multiplicity
rate of the host stars is 38 +17 -13%, consistent with the rate among
solar-type stars in our sensitivity range, suggesting that planet formation
does not preferentially occur in long period binaries compared to a random
sample of field stars.


title: Percolation of networks with directed dependency links

abstract:
  The self-consistent probabilistic approach has proven itself powerful in
studying the percolation behavior of interdependent or multiplex networks
without tracking the percolation process through each cascading step. In order
to understand how directed dependency links impact criticality, we employ this
approach to study the percolation properties of networks with both undirected
connectivity links and directed dependency links. We find that when a random
network with a given degree distribution undergoes a second-order phase
transition, the critical point and the unstable regime surrounding the
second-order phase transition regime are determined by the proportion of nodes
that do not depend on any other nodes. Moreover, we also find that the triple
point and the boundary between first- and second-order transitions are
determined by the proportion of nodes that depend on no more than one node.
This implies that it is maybe general for multiplex network systems, some
important properties of phase transitions can be determined only by a few
parameters. We illustrate our findings using Erdos-Renyi (ER) networks.


title:
Spatial growth of current-driven instability in relativistic rotating
  jets and the search for magnetic reconnection

abstract:
  Using the three-dimensional relativistic magnetohydrodynamic code RAISHIN, we
investigated the influence of radial density profile on the spatial development
of the current-driven kink instability along magnetized rotating, relativistic
jets. For the purpose of our study, we used a non-periodic computational box,
the jet flow is initially established across the computational grid, and a
precessional perturbation at the inlet triggers the growth of the kink
instability. We studied light as well as heavy jets with respect to the
environment depending on the density profile. Different angular velocity
amplitudes have been also tested. The results show the propagation of a
helically kinked structure along the jet and relatively stable configuration
for the lighter jets. The jets appear to be collimated by the magnetic field
and the flow is accelerated due to conversion of electromagnetic into kinetic
energy. We also identify regions of high current density in filamentary current
sheets, indicative of magnetic reconnection, which are associated to the kink
unstable regions and correlated to the decrease of the sigma parameter of the
flow. We discuss the implications of our findings for Poynting-flux dominated
jets in connection with magnetic reconnection process. We find that fast
magnetic reconnection may be driven by the kink-instability turbulence and
govern the transformation of magnetic into kinetic energy thus providing an
efficient way to power and accelerate particles in AGN and gamma-ray-burst
relativistic jets.


title:
Metal-Insulator Transition in the Hubbard Model: Correlations and Spiral
  Magnetic Structures

abstract:
  The metal--insulator transition (MIT) for the square, simple cubic, and
body-centered cubic lattices is investigated within the $t-t'$ Hubbard model at
half-filling by using both the Hartree-Fock approximation (HFA) generalized for
the case of spiral order and Kotliar-Ruckenstein slave-boson approach. It turns
out that magnetic scenario of MIT becomes superior over non-magnetic one. The
electron correlations lead to some suppression of the spiral phases in
comparison with HFA. We found the presence of metallic antiferromagnetic
(spiral) phase in the case of three-dimensional lattices.


title: Temporal dark polariton solitons

abstract:
  We predict that strong coupling between waveguide photons and excitons of
quantum well embedded into waveguide results in the formation of hybrid dark
and anti-dark light-matter solitons. Such temporal solitons exist due to
interplay between repulsive excitonic nonlinearity and giant group velocity
dispersion arising in the vicinity of excitonic resonance. Such fully
conservative states do not require external pumping to counteract losses and
form continuous families parameterized by the power-dependent phase shift and
velocity of their motion. Dark solitons are stable in the considerable part of
their existence domain, while anti-dark solitons are always unstable. Both
families exist outside forbidden frequency gap of the linear system.


title: Transport and deceleration of fusion products in microturbulence

abstract:
  The velocity-space distribution of alpha particles born in fusion devices is
subject to modification at moderate energies due to turbulent transport.
Therefore, one must calculate the evolution of an equilibrium distribution
whose functional form is not known \emph{a priori}. Using a novel technique,
applicable to any trace impurity, we have made this calculation not only
possible, but particularly efficient. We demonstrate a microturbulence-induced
departure from the local slowing-down distribution, an inversion of the energy
distribution, and associated modifications to the alpha heating and pressure
profiles in an ITER-like scenario.


title:
First-principles calculation of the bulk magnetoelectric monopolization:
  Berry phase and Wannier function approaches

abstract:
  We present a formalism to calculate the macroscopic magnetoelectric
monopolization from first principles within the density functional theory
framework. An expression for the monopolization in the case of insulating
collinear magnetism is derived first in terms of spin-polarized Wannier
functions then recast as a Berry phase. We propose an extension to the general,
non-collinear case which we implement computationally in the Wannier function
form and use to calculate the magnetoelectric monopolizations of LiMnPO$_4$ and
Cr$_2$O$_3$. We find that, while the former is well approximated by a summation
over the formal local spin moments, the latter shows significant deviations
from this approximation. We suggest that equating the Berry phase value with a
sum over local moments provides an unambiguous route to defining the size of
the local magnetic moment in magnetoelectric antiferromagnets containing only
one type of magnetic ion.


title:
An Innovative Imputation and Classification Approach for Accurate
  Disease Prediction

abstract:
  Imputation of missing attribute values in medical datasets for extracting
hidden knowledge from medical datasets is an interesting research topic of
interest which is very challenging. One cannot eliminate missing values in
medical records. The reason may be because some tests may not been conducted as
they are cost effective, values missed when conducting clinical trials, values
may not have been recorded to name some of the reasons. Data mining researchers
have been proposing various approaches to find and impute missing values to
increase classification accuracies so that disease may be predicted accurately.
In this paper, we propose a novel imputation approach for imputation of missing
values and performing classification after fixing missing values. The approach
is based on clustering concept and aims at dimensionality reduction of the
records. The case study discussed shows that missing values can be fixed and
imputed efficiently by achieving dimensionality reduction. The importance of
proposed approach for classification is visible in the case study which assigns
single class label in contrary to multi-label assignment if dimensionality
reduction is not performed.


title:
Zeeman-field-induced nontrivial topological phases in a one-dimensional
  spin-orbit-coupled dimerized lattice

abstract:
  We study theoretically the interplay effect of Zeeman field and modulated
spin-orbit coupling on topological properties of a one-dimensional dimerized
lattice, known as Su-Schrieffer-Heeger model. We find that in the weak (strong)
modulated spin-orbit coupling regime, trivial regions or nontrivial ones with
two pairs of zero-energy states can be turned into nontrivial regions by
applying a uniform (staggered) perpendicular Zeeman field through a topological
phase transition. Furthermore, the resulting nontrivial phase hosting a pair of
zero-energy boundary states can survive within a certain range of the
perpendicular Zeeman field magnitude. Due to the effective time-reversal,
particle-hole, chiral, and inversion symmetries, in the presence of either
uniform or staggered perpendicular Zeeman field, the topological class of the
system is BDI which can be characterized by $\mathbbm{Z}$ index. We also
examine the robustness of the nontrivial phase by breaking the underlying
symmetries giving rise that inversion symmetry plays an important role.


title: Electromagnetic theory of sound and phonons in liquid

abstract:
  Sound waves in and dielectric liquid, that consists of subsystems of valency
electrons with effective mass and ions which interact through the long-wave
potential electric field are considered, on analogies with and metallic liquid,
but with the requirement, that electric current is absent. It is shown that
usual description of sound wave in an ideal liquid as wave of mass density and
mass velocity follows from the offered consideration. It is also shown that
sound waves with other side can be considered as waves of potential electric
field in an environment. Introduction of phonons in both cases is considered.


title: Decidability of theories of modules over tubular algebras

abstract:
  We show that the common theory of all modules over a tubular algebra (over a
recursive algebraically closed field) is decidable. This result supports a long
standing conjecture of Mike Prest which says that a finite-dimensional algebra
(over a recursively given field) is tame if and only its common theory of
modules is decidable. Moreover, as a corollary, we are able to confirm this
conjecture for the class of concealed canonical algebras over algebraically
closed fields. These are the first examples of non-domestic algebras which have
been shown to have decidable theory of modules.


title:
Exploring the properties of valence electron based potential functions
  for the nonbonded interactions in atomistic force fields

abstract:
  The possibility to construct and parametrize the nonbonded interactions in
atomistic force fields based on the valence electron structure of molecules is
explored in this paper. Three different charge distribution models using simple
valence electron based potential functions are introduced and compared. It is
shown that the three models can be constructed such that they only require one
adjustable parameter for the electrostatic potential of a molecule. The
accuracy of the electrostatic potential is evaluated for the three models and
compared to population-derived charges and higher order multipole moments for a
set of 12 small molecules. Furthermore the accuracy and parametrization of the
interaction energies of the three models is evaluated based on ab initio
intermolecular interaction energies. It is shown that the valence electron
potential models provide systematic advantages over conventional point charge
models for the calculation of intermolecular interaction energies even with the
very simple potential functions used here.


title:
Multi-mission observations of the old nova GK Per during the 2015
  outburst

abstract:
  The remarkable old nova and an intermediate polar (IP) - GK Per was observed
with Swift, the Chandra HETG and NuSTAR during its recent dwarf nova (DN)
outburst in March - April 2015. Monitoring the outburst, we noticed several
processes occurring on different time scales, such as: the slow evolution of
the very soft X-ray emission (below 0.6 keV) during the first two weeks of the
outburst and the very fast saturation of the X-ray flux above 1 keV. The Swift
UVOT lights curves also showed different behaviour, depending on the filter.
The broad band X-ray spectra revealed the presence of at least three different
emitting sources. The white dwarf (WD) spin was observed even in the very hard
X-ray range of NuSTAR, indicating that the modulation is not due to absorption,
in contrast to a typical IP. It is also supported by the similarity of the
on-pulse and off-pulse X-ray spectra. We propose that the scenario when the
inner accretion disk pushed towards the WD by the increased accretion obscures
the lower WD pole can work also for GK Per.


title:
Computation of Lyapunov functions for nonlinear differential equations
  via a Massera-type construction

abstract:
  An approach for computing Lyapunov functions for nonlinear continuous-time
differential equations is developed via a new, Massera-type construction. This
construction is enabled by imposing a finite-time criterion on the integrated
function. By means of this approach, we relax the assumptions of exponential
stability on the system dynamics, while still allowing integration over a
finite time interval. The resulting Lyapunov function can be computed based on
any K infinity function of the norm of the solution of the system. In addition,
we show how the developed converse theorem can be used to construct an estimate
of the domain of attraction. Finally, a range of examples from literature and
biological applications such as the genetic toggle switch, the repressilator
and the HPA axis are worked out to demonstrate the efficiency and improvement
in computations of the proposed approach.