title: Demographic noise can reverse the direction of deterministic selection

abstract:
  Deterministic evolutionary theory robustly predicts that populations
displaying altruistic behaviours will be driven to extinction by mutant cheats
that absorb common benefits but do not themselves contribute. Here we show that
when demographic stochasticity is accounted for, selection can in fact act in
the reverse direction to that predicted deterministically, instead favouring
cooperative behaviors that appreciably increase the carrying capacity of the
population. Populations that exist in larger numbers experience a selective
advantage by being more stochastically robust to invasions than smaller
populations, and this advantage can persist even in the presence of
reproductive costs. We investigate this general effect in the specific context
of public goods production and find conditions for stochastic selection
reversal leading to the success of public good producers. This insight,
developed here analytically, is missed by both the deterministic analysis as
well as standard game theoretic models that enforce a fixed population size.
The effect is found to be amplified by space; in this scenario we find that
selection reversal occurs within biologically reasonable parameter regimes for
microbial populations. Beyond the public good problem, we formulate a general
mathematical framework for models that may exhibit stochastic selection
reversal. In this context, we describe a stochastic analogue to r-K theory, by
which small populations can evolve to higher densities in the absence of
disturbance.


title:
Determination of the properties of vector mesons in external magnetic
  field by Quenched $SU(3)$ Lattice QCD

abstract:
  We investigate the ground state energies of vector $\rho^{\pm}$ and $K^{\pm
*}$ mesons depending on the magnetic field value in the $SU(3)$ lattice gauge
theory. It has been shown that the energy of a vector particle depends on its
spin projection on the field axis. The magnetic dipole polarizability and
hyperpolarizabilities give significant contributions to the energy value which
prevents the formation of the charged vector meson condensate at high magnetic
fields. We calculate the g-factor of $\rho^{\pm}$ and $K^{\pm*}$ mesons and the
dipole magnetic polarizability of $\rho^{\pm}$ mesons.


title:
Discrete Analogue of Generalized Hardy Spaces and Multiplication
  Operators on Homogenous Trees

abstract:
  In this article, we define discrete analogue of generalized Hardy spaces and
its separable subspace on a homogenous rooted tree and study some of its
properties such as completeness, inclusion relations with other spaces,
separability, growth estimate for functions in these spaces and their
consequences. Equivalent conditions for multiplication operators to be bounded
and compact are also obtained. Furthermore, we discuss about point spectrum,
approximate point spectrum and spectrum of multiplication operators and discuss
when a multiplication operator is an isometry.


title: Learning Dynamic Hierarchical Models for Anytime Scene Labeling

abstract:
  With increasing demand for efficient image and video analysis, test-time cost
of scene parsing becomes critical for many large-scale or time-sensitive vision
applications. We propose a dynamic hierarchical model for anytime scene
labeling that allows us to achieve flexible trade-offs between efficiency and
accuracy in pixel-level prediction. In particular, our approach incorporates
the cost of feature computation and model inference, and optimizes the model
performance for any given test-time budget by learning a sequence of
image-adaptive hierarchical models. We formulate this anytime representation
learning as a Markov Decision Process with a discrete-continuous state-action
space. A high-quality policy of feature and model selection is learned based on
an approximate policy iteration method with action proposal mechanism. We
demonstrate the advantages of our dynamic non-myopic anytime scene parsing on
three semantic segmentation datasets, which achieves $90\%$ of the
state-of-the-art performances by using $15\%$ of their overall costs.


title:
Data Collection and Wireless Communication in Internet of Things (IoT)
  Using Economic Analysis and Pricing Models: A Survey

abstract:
  This paper provides a state-of-the-art literature review on economic analysis
and pricing models for data collection and wireless communication in Internet
of Things (IoT). Wireless Sensor Networks (WSNs) are the main component of IoT
which collect data from the environment and transmit the data to the sink
nodes. For long service time and low maintenance cost, WSNs require adaptive
and robust designs to address many issues, e.g., data collection, topology
formation, packet forwarding, resource and power optimization, coverage
optimization, efficient task allocation, and security. For these issues,
sensors have to make optimal decisions from current capabilities and available
strategies to achieve desirable goals. This paper reviews numerous applications
of the economic and pricing models, known as intelligent rational
decision-making methods, to develop adaptive algorithms and protocols for WSNs.
Besides, we survey a variety of pricing strategies in providing incentives for
phone users in crowdsensing applications to contribute their sensing data.
Furthermore, we consider the use of some pricing models in Machine-to-Machine
(M2M) communication. Finally, we highlight some important open research issues
as well as future research directions of applying economic and pricing models
to IoT.


title: Anomalous transport in second order hydrodynamics

abstract:
  We study the non-dissipative transport effects appearing at second order in
the hydrodynamic expansion for a non-interacting gas of chiral fermions by
using the partition function formalism. We discuss some features of the
corresponding constitutive relations, derive the explicit expressions for the
conductivities and compare with existing results in the literature.


title:
Modulation of sensory information processing by a neuroglobin in C.
  elegans

abstract:
  Sensory receptor neurons match their dynamic range to ecologically relevant
stimulus intensities. How this tuning is achieved is poorly understood in most
receptors. We show that in the C. elegans URX O2 sensing neurons two putative
molecular O2 sensors, a neuroglobin and O2-binding soluble guanylate cyclases,
work antagonistically to sculpt a slowly sigmoidal O2 response curve tuned to
approach saturation when O2 reaches 21%. glb-5 imposes this sigmoidal function
by inhibiting O2-evoked Ca2+ responses in URX when O2 levels fall. Without
GLB-5, the URX response curve approaches saturation at 15% O2. Behaviorally,
GLB-5 signaling broadens the O2 preference of C. elegans while maintaining
strong avoidance of 21% O2. Our computational aerotaxis model suggests that the
relationship between GLB-5-modulated URX responses and reversal behavior is
sufficient to broaden O2-preference. Thus, a neuroglobin can shift neural
information coding leading to a change in perception and altered behavior.


title: The set of connective constants of Cayley graphs contains a Cantor space

abstract:
  The purpose of this note is to prove that the set of connective constants of
Cayley graphs contains a Cantor space.


title:
The connection between shear thinning and biaxial orientation for
  quasi-ideal rods

abstract:
  The complete orientational ordering tensor of quasi-ideal colloidal rods is
obtained as a function of shear rate by performing rheo-SANS (rheology with
small angle neutron scattering) measurements on isotropic fd-virus suspensions
in the two relevant scattering planes, the flow-gradient (1-2) and the
flow-vorticity (1-3) plane. Microscopic ordering can be identified as the
origin of the observed shear thinning. A qualitative description of the
rheological response by Smoluchowski, as well as Doi--Edwards--Kuzuu theory is
possible, as we obtain a master curve for different concentrations, scaling the
shear rate with the apparent collective rotational diffusion coefficient.
However, the observation suggests that the interdependence of ordering and
shear thinning at small shear rates is stronger than predicted. The extracted
zero-shear viscosity matches the concentration dependence of the self-diffusion
of rods in semi-dilute solutions, while the director tilts close towards the
flow direction already at very low shear rates. In contrast, we observe a
smaller dependence on the shear rate in the overall ordering at high shear
rates, as well as an ever-increasing biaxiality.


title: Implementing quantum electrodynamics with ultracold atomic systems

abstract:
  We discuss the experimental engineering of model systems for the description
of QED in one spatial dimension via a mixture of bosonic $^{23}$Na and
fermionic $^6$Li atoms. The local gauge symmetry is realized in an optical
superlattice, using heteronuclear boson-fermion spin-changing interactions
which preserve the total spin in every local collision. We consider a large
number of bosons residing in the coherent state of a Bose-Einstein condensate
on each link between the fermion lattice sites, such that the behavior of
lattice QED in the continuum limit can be recovered. The discussion about the
range of possible experimental parameters builds, in particular, upon
experiences with related setups of fermions interacting with coherent samples
of bosonic atoms. We determine the atomic system's parameters required for the
description of fundamental QED processes, such as Schwinger pair production and
string breaking. This is achieved by benchmark calculations of the atomic
system and of QED itself using functional integral techniques. Our results
demonstrate that the dynamics of one-dimensional QED may be realized with
ultracold atoms using state-of-the-art experimental resources. The experimental
setup proposed may provide a unique access to longstanding open questions for
which classical computational methods are no longer applicable.


title: The Einstein nanocrystal

abstract:
  We study the simplest possible model of nanocrystal consisting in a simple
cubic lattice with a small number of atoms (NA ~ 10-10^3), where each atom is
linked to its nearest neighbor by a quantum harmonic potential. Some properties
(entropy, temperature, specific heat) of the nanocrystal are calculated
numerically but exactly within the framework of the microcanonical ensemble. We
find that the presence of a surface in the nanocrystal modifies the
thermostatistic properties to a greater extent than the small number of atoms
in the system. The specific heat Cv behaves similarly to the Einstein solid,
with an asymptotic value for high temperatures that differs from that of the
Dulong-Petit law by a term of the order of NA^(-1/3) and that can be explained
easily in terms of the surface. The entropy is non-additive, but this is due to
the presence of the surface and we show that the additivity is recovered in the
thermodynamic limit. Finally, we find that, when calculations follow the
canonical ensemble, results differ little for small systems (NA = 27) and are
inexistent for larger systems (NA = 1000).


title: On conjugacy separability of fibre products

abstract:
  In this paper we study conjugacy separability of subdirect products of two
free (or hyperbolic) groups. We establish necessary and sufficient criteria and
apply them to fibre products to produce a finitely presented group $G_1$ in
which all finite index subgroups are conjugacy separable, but which has an
index $2$ overgroup that is not conjugacy separable. Conversely, we construct a
finitely presented group $G_2$ which has a non-conjugacy separable subgroup of
index $2$ such that every finite index normal overgroup of $G_2$ is conjugacy
separable. The normality of the overgroup is essential in the last example, as
such a group $G_2$ will always posses an index $3$ overgroup that is not
conjugacy separable.
  Finally, we characterize $p$-conjugacy separable subdirect products of two
free groups, where $p$ is a prime. We show that fibre products provide a
natural correspondence between residually finite $p$-groups and $p$-conjugacy
separable subdirect products of two non-abelian free groups. As a consequence,
we deduce that the open question about the existence of an infinite finitely
presented residually finite $p$-group is equivalent to the question about the
existence of a finitely generated $p$-conjugacy separable full subdirect
product of infinite index in the direct product of two free groups.


title:
Thermal conductance by Dirac fermions in a
  normal-insulator-superconductor junction of silicene

abstract:
  We theoretically study the properties of thermal conductance in a
normal-insulator-superconductor junction of silicene for both thin and thick
barrier limit. We show that while thermal conductance displays the conventional
exponential dependence on temperature, it manifests a nontrivial oscillatory
dependence on the strength of the barrier region. The tunability of the thermal
conductance by an external electric field is also investigated. Moreover, we
explore the effect of doping concentration on thermal conductance. In the thin
barrier limit, the period of oscillations of the thermal conductance as a
function of the barrier strength comes out be $\pi/2$ when doping concentration
in the normal silicene region is small. On the other hand, the period gradually
converts to $\pi$ with the enhancement of the doping concentration. Such change
of periodicity of the thermal response with doping can be a possible probe to
identify the crossover from specular to retro Andreev reflection in Dirac
materials. In the thick barrier limit, thermal conductance exhibits oscillatory
behavior as a function of barrier thickness $d$ and barrier height $V_0$ while
the period of oscillation becomes $V_0$ dependent. However, amplitude of the
oscillations, unlike in tunneling conductance, gradually decays with the
increase of barrier thickness for arbitrary height $V_0$ in the highly doped
regime. We discuss experimental relevance of our results.


title: Secular and tidal evolution of circumbinary systems

abstract:
  We investigate the secular dynamics of three-body circumbinary systems under
the effect of tides. We use the octupolar non-restricted approximation for the
orbital interactions, general relativity corrections, the quadrupolar
approximation for the spins, and the viscous linear model for tides. We derive
the averaged equations of motion in a simplified vectorial formalism, which is
suitable to model the long-term evolution of a wide variety of circumbinary
systems in very eccentric and inclined orbits. In particular, this vectorial
approach can be used to derive constraints for tidal migration, capture in
Cassini states, and stellar spin-orbit misalignment. We show that circumbinary
planets with initial arbitrary orbital inclination can become coplanar through
a secular resonance between the precession of the orbit and the precession of
the spin of one of the stars. We also show that circumbinary systems for which
the pericenter of the inner orbit is initially in libration present chaotic
motion for the spins and for the eccentricity of the outer orbit. Because our
model is valid for the non-restricted problem, it can also be applied to any
three-body hierarchical system such as star-planet-satellite systems and triple
stellar systems.


title: Entanglement and Nonlocality in Infinite 1D Systems

abstract:
  We consider the problem of detecting entanglement and nonlocality in
one-dimensional (1D) infinite, translation-invariant (TI) systems when just
near-neighbor information is available. This issue is deeper than one might
think a priori, since, as we show, there exist instances of local separable
states (classical boxes) which admit only entangled (nonclassical) TI
extensions. We provide a simple characterization of the set of local states of
multiseparable TI spin chains and construct a family of linear witnesses which
can detect entanglement in infinite TI states from the nearest-neighbor reduced
density matrix. Similarly, we prove that the set of classical TI boxes forms a
polytope and devise a general procedure to generate all Bell inequalities which
characterize it. Using an algorithm based on matrix product states, we show how
some of them can be violated by distant parties conducting identical
measurements on an infinite TI quantum state. All our results can be easily
adapted to detect entanglement and nonlocality in large (finite, not TI) 1D
condensed matter systems.


title: Coherent and Incoherent Structural Dynamics in Laser-Excited Antimony

abstract:
  We investigate the excitation of phonons in photoexcited antimony and
demonstrate that the entire electron-lattice interactions, in particular
coherent and incoherent electron-phonon coupling, can be probed simultaneously.
Using femtosecond electron diffraction (FED) with high temporal resolution, we
observe the coherent excitation of the fully symmetric \Ag\ optical phonon mode
via the shift of the minimum of the atomic potential energy surface. Ab initio
molecular dynamics simulations on laser excited potential energy surfaces are
performed to quantify the change in lattice potential and the associated
real-space amplitude of the coherent atomic oscillations. Good agreement is
obtained between the parameter-free calculations and the experiment. In
addition, our experimental configuration allows observing the energy transfer
from electrons to phonons via incoherent electron-lattice scattering events.
The electron-phonon coupling is determined as a function of electronic
temperature from our DFT calculations and the data by applying different models
for the energy-transfer.


title:
A Richer Theory of Convex Constrained Optimization with Reduced
  Projections and Improved Rates

abstract:
  This paper focuses on convex constrained optimization problems, where the
solution is subject to a convex inequality constraint. In particular, we aim at
challenging problems for which both projection into the constrained domain and
a linear optimization under the inequality constraint are time-consuming, which
render both projected gradient methods and conditional gradient methods (a.k.a.
the Frank-Wolfe algorithm) expensive. In this paper, we develop projection
reduced optimization algorithms for both smooth and non-smooth optimization
with improved convergence rates under a certain regularity condition of the
constraint function. We first present a general theory of optimization with
only one projection. Its application to smooth optimization with only one
projection yields $O(1/\epsilon)$ iteration complexity, which improves over the
$O(1/\epsilon^2)$ iteration complexity established before for non-smooth
optimization and can be further reduced under strong convexity. Then we
introduce a local error bound condition and develop faster algorithms for
non-strongly convex optimization at the price of a logarithmic number of
projections. In particular, we achieve an iteration complexity of $\widetilde
O(1/\epsilon^{2(1-\theta)})$ for non-smooth optimization and $\widetilde
O(1/\epsilon^{1-\theta})$ for smooth optimization, where $\theta\in(0,1]$
appearing the local error bound condition characterizes the functional local
growth rate around the optimal solutions. Novel applications in solving the
constrained $\ell_1$ minimization problem and a positive semi-definite
constrained distance metric learning problem demonstrate that the proposed
algorithms achieve significant speed-up compared with previous algorithms.


title:
Travelling wave solutions of the perturbed mKdV equation that represent
  traffic congestion

abstract:
  A well-known optimal velocity (OV) model describes vehicle motion along a
single lane road, which reduces to a perturbed modified Korteweg-de Vries
(mKdV) equation within the unstable regime. Steady travelling wave solutions to
this equation are then derived with a multi-scale perturbation technique. The
first order solution in the hierarchy is written in terms of slow and fast
variables. At the following order, a system of differential equations are
highlighted that govern the slowly evolving properties of the leading solution.
Then, it is shown that the critical points of this system signify travelling
waves without slow variation. As a result, a family of steady waves with
constant amplitude and period are identified. When periodic boundary conditions
are satisfied, these solutions' parameters are associated with the driver's
sensitivity, $\hat{a}$, which appears in the OV model. For some given
$\hat{a}$, solutions of both an upward and downward form exist, with the
downward type corresponding to traffic congestion. Numerical simulations are
used to validate the asymptotic analysis and also to examine the long-time
behaviour of our solutions.


title:
Use of the gravitational-wave interferometers to test Lorentz invariance
  violation

abstract:
  Currently operating gravitational-wave interferometers are Michelson
interferometers with effective arm length L ~ 4x10e5 m. While the
interferometer remains in lock, data at the fsr sideband frequency encode
information on slow phase changes in the f ~ 10e-5 Hz range, with a fringe
sensitivity ~ 10e-10. Preliminary LIGO data presented in 2009 show no Lorentz
violating signal at the second harmonic of the Earth's sidereal frequency. This
sets a limit on a possible change in refractine index, dn/n < 2x10e-22, an
improvement of more than three orders of magnitude over existing limits.


title:
Interplay between conducting and magnetic systems in the
  antiferromagnetic organic superconductor $\kappa$-(BETS)$_2$FeBr$_4$

abstract:
  The mutual influence of the conduction electron system provided by organic
donor layers and magnetic system localized in insulating layers of the
molecular charge transfer salt $\kappa$-(BETS)$_2$FeBr$_4$ has been studied. It
is demonstrated that besides the high-field re-entrant superconducting state,
the interaction between the two systems plays important role for the low-field
superconductivity. The coupling of normal-state charge carriers to the magnetic
system is reflected in magnetic quantum oscillations and can be evaluated based
on the angle-dependent beating behaviour of the oscillations. On the other
hand, the conduction electrons have their impact on the magnetic system, which
is revealed through the pressure-induced changes of the magnetic phase diagram
of the material.


title:
A Structure-Preserving Pivotal Method for Affine Variational
  Inequalities

abstract:
  Affine variational inequalities (AVI) are an important problem class that
generalize systems of linear equations, linear complementarity problems and
optimality conditions for quadratic programs. This paper describes PATHAVI, a
structure-preserving pivotal approach, that can process (solve or determine
infeasible) large-scale sparse instances of the problem efficiently, with
theoretical guarantees and at high accuracy. PATHAVI implements a strategy that
is known to process models with good theoretical properties without reducing
the problem to specialized forms, since such reductions may destroy structure
in the models and can lead to very long computational times. We demonstrate
formally that PATHAVI implicitly follows the theoretically sound iteration
paths, and can be implemented in a large scale setting using existing sparse
linear algebra and linear programming techniques without employing a reduction.
We also extend the class of problems that PATHAVI can process. The paper
demonstrates the effectiveness of our approach by comparison to the PATH solver
used on a complementarity reformulation of the AVI in the context of
applications in friction contact and Nash Equilibria problems. PATHAVI is a
general purpose solver, and freely available under the same conditions as PATH .


title: Tunneling in attosecond optical ionization and a dynamical time operator

abstract:
  The conundrum parameter-operator of time in quantum mechanics (QM), as well
as the time-energy uncertainty relation and the tunneling delay time, have
recently been addressed in attosecond optical ioniza- tion experiments. The
parameter status of time in the time dependent Schr\"odinger equation (TDSE) is
supported by the well-known Pauli's ob- jection as well as by its
interpretation as an emerging property of entangle- ment with a classical
environment. On the other hand, the introduction of a self-adjoint dynamical
time operator in Dirac's formulation of elec- tron's relativistic quantum
mechanics (RQM), yields an additional system observable that represents an
internal time. In the present paper the re- lation of this internal time with
the parametric (laboratory) time and its relevance to the tunneling
measurements in these experiments is examined within the standard framework of
RQM.


title:
Collective magnetic excitations of $C_{4}$ symmetric magnetic states in
  iron-based superconductors

abstract:
  We study the collective magnetic excitations of the recently discovered
$C_{4}$ symmetric spin-density wave states of iron-based superconductors with
particular emphasis on their orbital character based on an itinerant
multiorbital approach. This is important since the $C_{4}$ symmetric
spin-density wave states exist only at moderate interaction strengths where
damping effects from a coupling to the continuum of particle-hole excitations
strongly modifies the shape of the excitation spectra compared to predictions
based on a local moment picture. We uncover a distinct orbital polarization
inherent to magnetic excitations in $C_{4}$ symmetric states, which provide a
route to identify the different commensurate magnetic states appearing in the
continuously updated phase diagram of the iron-pnictide family.


title:
Flares on A-type stars: Evidence for heating of solar corona by
  nanoflares?

abstract:
  We analyzed the occurrence rates of flares on stars of spectral types K, G,
F, and A, observed by Kepler. We found that the histogram of occurrence
frequencies of stellar flares is systematically shifted towards a high-energy
tail for A-type stars compared to stars of cooler spectral types. We
extrapolated the fitted power laws towards flares with smaller energies
(nanoflares) and made estimates for total energy flux to stellar atmospheres by
flares. We found that for A-type stars the total energy flux density was at
least 4-times smaller than for G-stars. We speculate that this deficit in
energy supply may explain the lack of hot coronae on A-type stars. Our results
indicate an importance of nanoflares for heating and formation of the solar
corona.


title:
Galaxy And Mass Assembly (GAMA): Galaxy colour gradients versus colour,
  structure and luminosity

abstract:
  Using single-component fits to SDSS/UKIDSS images of galaxies in the G09
region of the GAMA survey we study radial colour gradients across the galaxy
population. We use the multiwavelength information provided by MegaMorph
analysis of galaxy light profiles to calculate intrinsic colour gradients, and
divide into six subsamples split by overall S\'{e}rsic index ($n$) and galaxy
colour. We find a bimodality in the colour gradients of high- and low-$n$
galaxies in all wavebands, which varies with overall galaxy luminosity. Global
trends in colour gradients therefore result from combining the contrasting
behaviour of a number of different galaxy populations. The ubiquity of strong
negative colour gradients supports the picture of inside-out growth through gas
accretion for blue, low-$n$ galaxies, and through dry minor mergers for red,
high-$n$ galaxies. An exception is the blue high-n population, with properties
indicative of dissipative major mergers.


title: Distribution of periodic trajectories of Anosov C-system

abstract:
  The hyperbolic Anosov C-systems have a countable set of everywhere dense
periodic trajectories which have been recently used to generate pseudorandom
numbers. The asymptotic distribution of periodic trajectories of C-systems with
periods less than a given number is well known, but a deviation of this
distribution from its asymptotic behaviour is less known. Using fast
algorithms, we are studying the exact distribution of periodic trajectories and
their deviation from asymptotic behaviour for hyperbolic C-systems which are
defined on high dimensional tori and are used for Monte-Carlo simulations. A
particular C-system which we consider in this article is the one which was
implemented in the MIXMAX generator of pseudorandom numbers. The generator has
the best combination of speed, reasonable size of the state, and availability
for implementing the parallelization and is currently available generator in
the ROOT and CLHEP software packages at CERN.


title: Implications of non-Markovian dynamics for the Landauer bound

abstract:
  We study the dynamics of a spin-1/2 particle interacting with a multi-spin
environment, modelling the corresponding open system dynamics through a
collision-based model. The environmental particles are prepared in individual
thermal states, and we investigate the effects of a distribution of
temperatures across the spin environment on the evolution of the system,
particularly how thermalisation in the long-time limit is affected. %We also
address the conditions under which the system reaches a stationary state, with
particular attention to whether homogenization to the average environmental
state occurs. We study the phenomenology of the heat exchange between system
and environment and consider the information-to-energy conversion process,
induced by the system-environment interaction and embodied by the Landauer
principle. Furthermore, by considering an interacting-particles environment, we
tune the dynamics of the system from an explicit Markovian evolution up to a
strongly non-Markovian one, investigating the connections between
non-Markovianity, the establishment of system-environment correlations, and the
breakdown of the validity of Landauer principle.


title: Spin-photon entanglement interfaces in silicon carbide defect centers

abstract:
  Optically active spins in solid-state systems can be engineered to emit
photons that are entangled with the spin in the solid. This allows for
applications such as quantum communications, quantum key distribution, and
distributed quantum computing. Recently, there has been a strong interest in
silicon carbide defects, as they emit very close to the telecommunication
wavelength, making them excellent candidates for long range quantum
communications. In this work we develop explicit schemes for spin-photon
entanglement in several SiC defects: the silicon monovacancy, the silicon
divacancy, and the NV center in SiC. Distinct approaches are given for (i)
single-photon and spin entanglement and (ii) the generation of long strings of
entangled photons. The latter are known as cluster states and comprise a
resource for measurement-based quantum information processing.


title: Veronesean almost binomial almost complete intersections

abstract:
  The second Veronese ideal $I_n$ contains a natural complete intersection
$J_n$ generated by the principal $2$-minors of a symmetric $(n\times
n)$-matrix. We determine subintersections of the primary decomposition of $J_n$
where one intersectand is omitted. If $I_n$ is omitted, the result is the other
end of a complete intersection link as in liaison theory. These
subintersections also yield interesting insights into binomial ideals and
multigraded algebra. For example, if $n$ is even, $I_n$ is a Gorenstein ideal
and the intersection of the remaining primary components of $J_n$ equals
$J_n+\langle f \rangle$ for an explicit polynomial $f$ constructed from the
fibers of the Veronese grading map.


title:
Normal form \`a la Moser for diffeomorphisms and generalization of
  R\"ussmann's translated curve theorem to higher dimension

abstract:
  We prove a discrete time analogue of 1967 Moser's normal form of real
analytic perturbations of vector fields possessing an invariant, reducible,
Diophantine torus; in the case of diffeomorphisms too, the persistence of such
an invariant torus is a phenomenon of finite co-dimension. Under convenient
non-degeneracy assumptions on the diffeomorphisms under study (torsion property
for example), this co-dimension can be reduced. As a by-product we obtain
generalizations of R\"ussmann's translated curve theorem in any dimension, by a
technique of elimination of parameters.


title: Trees with distinguishing index equal distinguishing number plus one

abstract:
  The distinguishing number (index) $D(G)$ ($D'(G)$) of a graph $G$ is the
least integer $d$ such that $G$ has an vertex (edge) labeling with $d$ labels
that is preserved only by the trivial automorphism. It is known that for every
graph $G$ we have $D'(G) \leq D(G) + 1$. In this note we characterize trees for
which this inequality is sharp. We also show that if $G$ is a connected
unicyclic graph, then $D'(G) = D(G)$.


title:
On the origin of the Fundamental Plane and Faber-Jackson relations:
  consequences for the star formation problem

abstract:
  The aim of this work is to show that the origin of the Fundamental Plane (FP)
relation for early-type galaxies (ETGs) can be traced back to the existence of
a fine-tuning between the average star formation rate $<SFR>$ of galaxies and
their structural and dynamical characteristics. To get such result it is
necessary to imagine the existence of two distinct "virtual planes" for each
galaxy in the $\log(R_e)-\log(I_e)-\log(\sigma)$ space. The first one (named
Virial Plane VP) represents the total galaxy mass using the scalar Virial
Theorem and the mass-to-light ratio $M/L$, while the second plane comes from an
expression of the total galaxy luminosity as a function of the mean star
formation rate $<SFR>$ and the velocity dispersion $\sigma$, through a relation
$L=L'_0 \sigma^{-2}$ (named here pseudo-Faber-Jackson (PFJ)) which is a
mathematical convenient way for expressing the independency of light from the
virial equilibrium. Its validity can be connected to the mutual correlation
$L\sim\sigma\sqrt{<SFR>}$ observed for all ETGs.
  A posteriori it is possible to see that this approach permits to explain the
observed properties of the FP (tilt and scatter) and the Zone of Exclusions
(ZOE) visible in the FP projections. Furthermore, the link between the
properties of the FP and the SFR of galaxies provides a new idea of the star
formation, as a phenomenon driven by the initial conditions of proto-galaxies
and regulated across the whole cosmic history by the variation of the main
galaxy parameters (mass, luminosity, structural shape and velocity dispersion).


title:
A Versatile Setup for Ultrafast Broadband Optical Spectroscopy of
  Coherent Collective Modes in Strongly Correlated Quantum Systems

abstract:
  A femtosecond pump-probe setup is described that is optimised for broadband
transient reflectivity experiments on solid samples over a wide range of
temperatures. By combining a temporal resolution of 45 fs and a broad detection
range between 1.75 and 2.85 eV, this apparatus can provide insightful
information on the interplay between coherent collective modes and high-energy
electronic excitations, which is one of the distinctive characteristics of
strongly interacting and correlated quantum systems. The use of a single-shot
readout CMOS array detector at frame rates up to 10 kHz allows to resolve
coherent oscillations with amplitudes below 10$^{-4}$ in $\Delta$R/R. We
demonstrate the operation of this setup on the prototypical charge-transfer
insulator La$_2$CuO$_4$, revealing the presence of coherent optical phonons
with frequencies as high as 13 THz.


title: The Yukawa Model in One Space - One Time Dimensions

abstract:
  The Yukawa Model is revisited in one space - one time dimensions in an
approach completely different to those available in the literature. We show
that at the classical level it is a constrained system. We apply the Dirac
method of quantization of constrained systems. Then by means of the
bosonization procedure we uniformize the Hamiltonian at the quantum level in
terms of a pseudo-scalar field and the chiral components of a real scalar
field.


title: Ternary Leibniz color algebras and beyond

abstract:
  The purpose of this paper is to generalize some results on ternary Leibniz
algebras to the case of ternary Leibniz color algebras. In particular, we study
color Lie triple systems. In order to produce examples of ternary Leibniz color
algebras from Leibniz color algebras, several results on Leibniz color algebras
are given. Then we introduce and give some constructions of ternary
Leibniz-Nambu-Poisson color algebras. The relationship between associative
trialgebras and -1- tridendriform algebras are investigated. Moreover, we give
some methods of constructing modules over ternary Leibniz-Nambu-Poisson color
algebras.


title:
Darboux integrability of trapezoidal $H^{4}$ and $H^{6}$ families of
  lattice equations I: First integrals

abstract:
  In this paper we prove that the trapezoidal $H^{4}$ and the $H^{6}$ families
of quad-equations are Darboux integrable systems. This result sheds light on
the fact that such equations are linearizable as it was proved using the
Algebraic Entropy test [G. Gubbiotti, C. Scimiterna and D. Levi, Algebraic
entropy, symmetries and linearization for quad equations consistent on the
cube, \emph{J. Nonlinear Math. Phys.}, 23(4):507543, 2016]. We conclude with
some suggestions on how first integrals can be used to obtain general
solutions.


title: Learning Mobile App Usage Routine through Learning Automata

abstract:
  Since its conception, smart app market has grown exponentially. Success in
the app market depends on many factors among which the quality of the app is a
significant contributor, such as energy use. Nevertheless, smartphones, as a
subset of mobile computing devices. inherit the limited power resource
constraint. Therefore, there is a challenge of maintaining the resource while
increasing the target app quality. This paper introduces Learning Automata (LA)
as an online learning method to learn and predict the app usage routines of the
users. Such prediction can leverage the app cache functionality of the
operating system and thus (i) decreases app launch time and (ii) preserve
battery. Our algorithm, which is an online learning approach, temporally
updates and improves the internal states of itself. In particular, it learns
the transition probabilities between app launching. Each App launching instance
updates the transition probabilities related to that App, and this will result
in improving the prediction. We benefit from a real-world lifelogging dataset
and our experimental results show considerable success with respect to the two
baseline methods that are used currently for smartphone app prediction
approaches.


title: African Doctorates in Mathematics from Burkina-Faso

abstract:
  A catalogue of African Doctorates in Mathematics has been compiled and
published in 2007 by the late Professor Paulus Gerdes. In this paper, we revise
and update the list of mathematicians from Burkina-Faso. Starting from a short
description of Burkina-Faso, we brieffly mention the education system and the
mathematics programme in Burkina-Faso from the pre-school level to university
level. A list of mathematicians native of Burkina Faso is given.


title:
Formation of Centaurs' rings through their partial tidal disruption
  during planetary encounters

abstract:
  Centaurs are minor planets orbiting between Jupiter and Neptune that have or
had crossing orbits with one or more giant planets. Recent observations and
reinterpretation of previous observations have revealed the existence of ring
systems around 10199 Chariklo and 2060 Chiron. However, the origin of the ring
systems around such a minor planet is still an open question. Here, we propose
that the tidal disruption of a differentiated object that experiences a close
encounter with a giant planet could naturally form diverse ring-satellite
systems around the Centaurs. During the close encounter, the icy mantle of the
passing object is preferentially ripped off by the planet's tidal force and the
debris is distributed mostly within the Roche limit of the largest remnant
body. Assuming the existence of $20-50$wt% silicate core below the icy mantle,
a disk of particles is formed when the objects pass within $0.4-0.8$ of the
planet's Roche limit with the relative velocity at infinity $3-6$km s$^{-1}$
and 8h initial spin period of the body. The resultant ring mass is $0.1-10$% of
the central object's mass. Such particle disks are expected to spread radially,
and materials spreading beyond the Roche limit would accrete into satellite(s).
Our numerical results suggest that ring formation would be a natural outcome of
such extreme close encounters and Centaurs can naturally have such ring systems
because they cross the orbits of the giant planets.


title:
Elementary Solutions for a model Boltzmann Equation in one-dimension and
  the connection to Grossly Determined Solutions

abstract:
  The Fourier-transformed version of the BGK model in one-dimension is solved
in order to determine the general solution's asymptotics. The ultimate goal of
this paper is to demonstrate that the solution to the model Boltzmann possesses
a special property that was conjectured by Truesdell and Muncaster: that
solutions decay to a subclass of the solution set uniquely determined by the
initial first moment of the gas. First we determine the spectrum and
eigendistributions of the associated homogeneous equation. Then, using Case's
method of elementary solutions, we find analytic time-dependent solutions to
the original problem. In doing so, we show that the spectrum separates the
solutions into two distinct parts; one that behaves as a set of transient
solutions and the other limiting to a stable subclass of solutions. This
demonstrates that in time all gas flows for the one-dimensional BGK model
Boltzmann act as grossly determined solutions.


title:
Quantum-limited measurements of optical signals from a geostationary
  satellite

abstract:
  The measurement of quantum signals that traveled through long distances is of
fundamental and technological interest. We present quantum-limited coherent
measurements of optical signals, sent from a satellite in geostationary Earth
orbit to an optical ground station. We bound the excess noise that the quantum
states could have acquired after having propagated 38600 km through Earth's
gravitational potential as well as its turbulent atmosphere. Our results
indicate that quantum communication is feasible in principle in such a
scenario, highlighting the possibility of a global quantum key distribution
network for secure communication.

categories: quant-ph cs.CR cs.ET physics.ao-ph physics.optics


title:
Comment on "Large enhancement in high-energy photoionization of Fe XVII
  and missing continuum plasma opacity"

abstract:
  Recent R-matrix calculations claim to produce a significant enhancement in
the opacity of Fe XVII due to atomic core excitations [S. N. Nahar & A.K.
Pradhan, Phys. Rev. Letters 116, 235003 (2016), arXiv:1606.02731] and assert
that this enhancement is consistent with recent measurements of
higher-than-predicted iron opacities [J. E. Bailey et al., Nature 517, 56
(2015)]. This comment shows that the standard opacity models which have already
been directly compared with experimental data produce photon absorption
cross-sections for Fe XVII that are effectively equivalent to (and in fact
larger than) the new R-matrix opacities. Thus, the new R-matrix results cannot
be expected to significantly impact the existing discrepancies between theory
and experiment because they produce neither a "large enhancement" nor account
for "missing continuum plasma opacity" relative to standard models.


title:
Atom-canonicity in algebraic logic in connection to omitting types in
  modal fragments of L_{\omega, \omega}

abstract:
  Fix 2<n<\omega. Let L_n denote first order logic restricted to the first n
variables. CA_n denotes the class of cylindric algebras of dimension n and for
m>n, Nr_n\CA_m(\subseteq CA_n) denotes the class of n-neat reducts of CA_m's.
The existence of certain finite relation algebras and finite CA_n's lacking
relativized complete representations is shown to imply that the omitting types
theorem (OTT) fails for L_n with respect to clique guarded semantics (which is
an equivalent formalism of its packed fragments), and for the multi-dimensional
modal logic S5^n. Several such relation and cylindric algebras are explicitly
exhibited using rainbow constructions and Monk-like algebras. Certain CA_n
constructed to show non-atom canonicity of the variety S\Nr_n\CA_{n+3} are used
to show that Vaught's theorem (VT) for L_{\omega, \omega}, looked upon as a
special case of OTT for L_{\omega, \omega}, fails almost everywhere (a notion
to be defined below) when restricted to L_n. That VT fails everywhere for L_n,
which is stronger than failing almost everywhere as the name suggests, is
reduced to the existence, for each n<m<\omega, of a finite relation algebra R_m
having a so-called m-1 strong blur, but R_m has no m-dimensional relational
basis. VT for other modal fragments and expansions of L_n, like its guarded
fragments, n-products of uni-modal logics like K^n, and first order definable
expansions, is approached. It is shown that any multi-modal canonical logic L,
such that $K^n\subseteq L\subseteq S5^n$, L cannot be axiomatized by canonical
equations. In particular, L is not Sahlqvist. Elementary generation and
di-completeness for L_n and its clique guarded fragments are proved. Positive
omitting types theorems are proved for L_n with respect to standard semantics.


title: Ab initio Electron Mobility and Polar Phonon Scattering in GaAs

abstract:
  In polar semiconductors and oxides, the long-range nature of the
electron-phonon (\textit{e}-ph) interaction is a bottleneck to compute charge
transport from first principles. Here, we develop an efficient ab initio scheme
to compute and converge the \textit{e}-ph relaxation times (RTs) and electron
mobility in polar materials. We apply our approach to GaAs, where using the
Boltzmann equation with state-dependent RTs, we compute mobilities in excellent
agreement with experiment at 250$-$500~K. The $e$-ph RTs and the phonon
contributions to intravalley and intervalley $e$-ph scattering are also
analyzed. Our work enables efficient ab initio computations of transport and
carrier dynamics in polar materials.


title: Eta-diagonal distributions and infinite divisibility for R-diagonals

abstract:
  The class of R-diagonal *-distributions is fairly well understood in free
probability. In this class, we consider the concept of infinite divisibility
with respect to the operation $\boxplus$ of free additive convolution. We
exploit the relation between free probability and the parallel (and simpler)
world of Boolean probability. It is natural to introduce the concept of an
eta-diagonal distribution that is the Boolean counterpart of an R-diagonal
distribution. We establish a number of properties of eta-diagonal
distributions, then we examine the canonical bijection relating eta-diagonal
distributions to infinitely divisible R-diagonal ones. The overall result is a
parametrization of an arbitrary $\boxplus$-infinitely divisible R-diagonal
distribution that can arise in a C*-probability space, by a pair of compactly
supported Borel probability measures on $[ 0, \infty )$. Among the applications
of this parametrization, we prove that the set of $\boxplus$-infinitely
divisible R-diagonal distributions is closed under the operation $\boxtimes$ of
free multiplicative convolution.


title: Stabilizing semilocal strings by polarization

abstract:
  Semilocal strings are vortices in the extended Abelian-Higgs model with two
complex Higgs scalar fields among which a global $SU(2)$ symmetry acts. They
are known to be stable (unstable against expansion) in type-I (II)
superconductors, in which gauge field is heavier (lighter) than the Higgs
scalar field. In this paper, we find that vortices can be stabilized in the
whole parameter region including the type-II region by adding a potential term
breaking the $SU(2)$ symmetry. We construct numerical solutions in various
parameters and determine the vortex phase diagram consisting of six phases. In
two phases, a vortex is polarized, that is, split into two half-quantized
vortices with a certain distance, to form a vortex molecule, while in the rests
a vortex is identical to the conventional Abrikosov-Nielsen-Olesen vortex.


title:
Floquet spectrum and driven conductance in Dirac materials: Effects of
  Landau-Zener-St\"uckelberg-Majorana interferometry

abstract:
  Using the Landau-Zener-St\"uckelberg-Majorana-type (LZSM) semiclassical
approach, we study both graphene and a thin film of a Weyl semimetal subjected
to a strong AC electromagnetic field. The spectrum of quasi energies in the
Weyl semimetal turns out to be similar to that of a graphene sheet. Earlier it
has been predicted qualitatively that the transport properties of
strongly-irradiated graphene oscillate as a function of the radiation intensity
[S.V. Syzranov et al., Phys. Rev. B 88, 241112 (2013)]. Here we obtain rigorous
quantitative results for a driven linear conductance of graphene and a thin
film of a Weyl semimetal. The exact quantitative structure of oscillations
exhibits two contributions. The first one is a manifestation of the
Ramsauer-Townsend effect, while the second contribution is a consequence of the
LZSM interference defining the spectrum of quasienergies.


title: On Noncontextual, Non-Kolmogorovian Hidden Variable Theories

abstract:
  One implication of Bell's theorem is that there cannot in general be hidden
variable models for quantum mechanics that both are noncontextual and retain
the structure of a classical probability space. Thus, some hidden variable
programs aim to retain noncontextuality at the cost of using a generalization
of the Kolmogorov probability axioms. We generalize a theorem of Feintzeig
(2015) to show that such programs are committed to the existence of a finite
null cover for some quantum mechanical experiments, i.e., a finite collection
of probability zero events whose disjunction exhausts the space of experimental
possibilities.


title: Monochromatic factorisations of words and periodicity

abstract:
  In 2006 T. Brown asked the following question: Given a non-periodic infinite
word $x=x_1x_2x_3\cdots$ with values in a non-empty set $\mathbb{A},$ does
there exist a finite coloring $\varphi: \mathbb{A}^+\rightarrow C$ relative to
which $x$ does not admit a $\varphi$-monochromatic factorisation, i.e., a
factorisation of the form $x=u_1u_2u_3\cdots$ with $\varphi(u_i)=\varphi(u_j)$
for all $i,j\geq 1$? Various partial results in support of an affirmative
answer to this question have appeared in the literature in recent years. In
particular it is known that the question admits an affirmative answer for all
non-uniformly recurrent words and various classes of uniformly recurrent words
including Sturmian words. In this note we answer this question in general by
showing that if $x=x_1x_2x_3\cdots$ is an infinite word with values in a
non-empty set $\mathbb{A},$ then $x$ is periodic if and only if for every
$2$-coloring $\varphi: \mathbb{A}^+\rightarrow \{0,1\}$ there exists a
$\varphi$-monochromatic factorisation of $x.$ This characterization of
periodicity of infinite words may be reformulated in the language of
ultrafilters. Let $\beta \mathbb{A}^+$ denote the Stone-Cech compactification
of the discrete semigroup $\mathbb{A}^+$ which we regard as the set of all
ultrafilters on $\mathbb{A}^+.$ Then $x$ is periodic if and only if there
exists $p\in \beta \mathbb{A}^+$ such that for each $A\in p$ there exists a
factorisation $x=u_1u_2u_3\cdots $ with each $u_i \in A.$


title: Cliques and Cavities in the Human Connectome

abstract:
  Encoding brain regions and their connections as a network of nodes and edges
captures many of the possible paths along which information can be transmitted
as humans process and perform complex behaviors. Because cognitive processes
involve large and distributed networks of brain areas, examinations of
multi-node routes within larger connection patterns can offer fundamental
insights into the complexities of brain function. Here, we investigate both
densely connected groups of nodes that could perform local computations as well
as larger patterns of interactions that would allow for parallel processing.
Finding such structures necessitates we move from considering pairwise
interactions to capturing higher order relations, concepts naturally expressed
in the language of algebraic topology. These tools can be used to study
mesoscale structures arising from the arrangement of densely connected
substructures called cliques in otherwise sparsely connected brain networks. We
detect cliques (all-to-all connected sets of brain regions) in the average
structural connectomes of 8 healthy adults and discover the presence of more
large cliques than expected in null networks constructed via wiring
minimization, providing architecture through which brain network can perform
rapid, local processing. We then locate topological cavities of different
dimensions, around which information may flow in either diverging or converging
patterns. These cavities exist consistently across subjects, differ from those
observed in null model networks, and link regions of early and late
evolutionary origin in long loops, underscoring their unique role in
controlling brain function. These results offer a first demonstration that
techniques from algebraic topology offer a novel perspective on structural
connectomics, highlighting loop-like paths as crucial features in the human
brain's structural architecture.


title: Emergent organization in a model market

abstract:
  We study the collective behavior of interacting agents in a simple model of
market economics originally introduced by N{\o}rrelykke and Bak. A general
theoretical framework for interacting traders on an arbitrary network is
presented, with the interaction consisting of buying (namely, consumption) and
selling (namely, production) of commodities. Extremal dynamics is introduced by
having the agent with least profit in the market readjust prices, causing the
market to self--organize. We study this model market on regular lattices in
two--dimension as well as on random complex networks; in the critical state
fluctuations in an activity signal exhibit properties that are characteristic
of avalanches observed in models of self-organized criticality, and these can
be described by power--law distributions.


title: On (a,b) Pairs in Random Fibonacci Sequences

abstract:
  We study the random Fibonacci tree, which is an infinite binary tree with
non-negative integers at each node. The root consists of the number 1 with a
single child, also the number 1. We define the tree recursively in the
following way: if x is the parent of y, then y has two children, namely |x-y|
and x+y. This tree was studied by Benoit Rittaud who proved that any pair of
integers a,b that are coprime occur as a parent-child pair infinitely often. We
extend his results by determining the probability that a random infinite walk
in this tree contains exactly one pair (1,1), that being at the root of the
tree. Also, we give tight upper and lower bounds on the number of occurrences
of any specific coprime pair (a,b) at any given fixed depth in the tree.


title:
Tuning the metal-insulator transition in d^1 and d^2 perovskites by
  epitaxial strain: a first principles-based study

abstract:
  We investigate the effect of epitaxial strain on the Mott metal-insulator
transition (MIT) in perovskite systems with d^1 and d^2 electron configuration
of the transition metal (TM) cation. We first discuss the general trends
expected from the changes in the crystal-field splitting and in the hopping
parameters that are induced by epitaxial strain. We argue that the
strain-induced crystal-field splitting generally favors the Mott-insulating
state, whereas the strain-induced changes in the hopping parameters favor the
metallic state under compressive strain and the insulating state under tensile
strain. Thus, the two effects can effectively cancel each other under
compressive strain, while they usually cooperate under tensile strain, in this
case favoring the insulating state. We then validate these general
considerations by performing electronic structure calculations for several d^1
and d^2 perovskites, using a combination of density functional theory (DFT) and
dynamical mean-field theory (DMFT). We isolate the individual effects of
strain-induced changes in either hopping or crystal-field by performing DMFT
calculations where we fix one type of parameter to the corresponding unstrained
DFT values. These calculations confirm our general considerations for SrVO_3
(d^1) and LaVO_3 (d^2), whereas the case of LaTiO_3 (d^1) is distinctly
different, due to the strong effect of the octahedral tilt distortion in the
underlying perovskite crystal structure. Our results demonstrate the
possibility to tune the electronic properties of correlated TM oxides by using
epitaxial strain, which allows to control the strength of electronic
correlations and the vicinity to the Mott MIT.


title: Multigrid methods: grid transfer operators and subdivision schemes

abstract:
  The convergence rate of a multigrid method depends on the properties of the
smoother and the so-called grid transfer operator. In this paper we define and
analyze new grid transfer operators with a generic cutting size which are
applicable for high order problems. We enlarge the class of available geometric
grid transfer operators by relating the symbol analysis of the coarse grid
correction with the approximation properties of univariate subdivision schemes.
We show that the polynomial generation property and stability of a subdivision
scheme are crucial for convergence and optimality of the corresponding
multigrid method. We construct a new class of grid transfer operators from
primal binary and ternary pseudo-spline symbols. Our numerical results
illustrate the behavior of the new grid transfer operators.


title: Resolved astrometric orbits of ten O-type binaries

abstract:
  Our long term aim is to derive model-independent stellar masses and distances
for long period massive binaries by combining apparent astrometric orbit with
double-lined radial velocity amplitudes (SB2). We follow-up ten O+O binaries
with AMBER, PIONIER and GRAVITY at the VLTI. Here, we report about 130
astrometric observations over the last 7 years. We combine this dataset with
distance estimates to compute the total mass of the systems. We also compute
preliminary individual component masses for the five systems with available SB2
radial velocities. Nine over the ten binaries have their three dimensional
orbit well constrained. Four of them are known colliding wind, non-thermal
radio emitters, and thus constitute valuable targets for future high angular
resolution radio imaging. Two binaries break the correlation between period and
eccentricity tentatively observed in previous studies. It suggests either that
massive star formation produce a wide range of systems, or that several binary
formation mechanisms are at play. Finally, we found that the use of existing
SB2 radial velocity amplitudes can lead to unrealistic masses and distances. If
not understood, the biases in radial velocity amplitudes will represent an
intrinsic limitation for estimating dynamical masses from SB2+interferometry or
SB2+Gaia. Nevertheless, our results can be combined with future Gaia astrometry
to measure the dynamical masses and distances of the individual components with
an accuracy of 5 to 15\%, completely independently of the radial velocities.


title: Topological solitons in the supersymmetric Skyrme model

abstract:
  A supersymmetric extension of the Skyrme model was obtained recently, which
consists of only the Skyrme term in the Nambu-Goldstone (pion) sector
complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz
dimensional reduction yields a kinetic term in three or lower dimensions and a
potential term in two dimensions, preserving supersymmetry. Euclidean solitons
(instantons) are constructed in the supersymmetric Skyrme model. In four
dimensions, the soliton is an instanton first found by Speight. Scherk-Schwarz
dimensional reduction is then performed once to get a 3-dimensional theory in
which a 3d Skyrmion-instanton is found and then once more to get a 2d theory in
which a 2d vortex-instanton is obtained. Although the last one is a global
vortex it has finite action in contrast to conventional theory. All of them are
non-BPS states breaking all supersymmetries.


title:
Squeezing of thermal fluctuations in four-wave mixing in a
  \Lambda-scheme

abstract:
  We theoretically investigate the mechanism of two-mode quadrature squeezing
in regime of four-wave mixing in a \Lambda-scheme of three-level atoms embedded
in a thermal reservoir. We demonstrate that the process of nonlinear transfer
of noise from the low frequency of ground state splitting to the optical
frequency drastically modifies the condition of effective two-mode squeezing.
The damage factor is significant if number of thermal photons at the low
frequency is high and the role of inelastic processes in ground state coherence
decay is not negligible. We found the optimal conditions for squeezing, in
particular optimal density-length product of active medium depending on the
relaxation parameters and drive intensity.


title:
Totally Abelian Toeplitz operators and geometric invariants associated
  with their symbol curves

abstract:
  This paper mainly studies totally Abelian operators in the context of
analytic Toeplitz operators on both the Hardy and Bergman space. When the
symbol is a meromorphic function on $\mathbb{C}$, we establish the connection
between totally Abelian property of these operators and and geometric
properties of their symbol curves. It is found that winding numbers and
multiplicities of self-intersection of symbol curves play an important role in
this topic. Techniques of group theory, complex analysis, geometry and operator
theory are intrinsic in this paper. As a byproduct, under a mild condition we
provides an affirmative answer to a question raised in \cite{BDU,T1}, and also
construct some examples to show that the answer is negative if the associated
conditions are weakened.


title:
Dynamical co-existence of excitons and free carriers in perovskite
  probed by density-resolved fluorescent spectroscopic method

abstract:
  Using transient fluorescent spectra at time-zero, we develop a
density-resolved fluorescent spectroscopic method for investigating
photoproducts in CH3NH3PbI3 perovskite and related photophysics. The density
dependent dynamical co-existence of excitons and free carriers over a wide
density range is experimentally observed for the first time. The exciton
binding energy (EB) and the effective mass of electron-hole pair can be
estimated based on such co-existence. No ionic polarization is found
contributing to photophysical behavior. It also solves the conflict between the
large experimentally measured EB and the small predicted values. The
spectroscopic method also helps to detect the true free carrier density under
continuous illumination without the interference of ionic conductivity. Our
methods and results profoundly enrich the study and understanding of the
photophysics in perovskite materials for photovoltaic applications.


title:
Semi-Supervised Prediction of Gene Regulatory Networks Using Machine
  Learning Algorithms

abstract:
  Use of computational methods to predict gene regulatory networks (GRNs) from
gene expression data is a challenging task. Many studies have been conducted
using unsupervised methods to fulfill the task; however, such methods usually
yield low prediction accuracies due to the lack of training data. In this
article, we propose semi-supervised methods for GRN prediction by utilizing two
machine learning algorithms, namely support vector machines (SVM) and random
forests (RF). The semi-supervised methods make use of unlabeled data for
training. We investigate inductive and transductive learning approaches, both
of which adopt an iterative procedure to obtain reliable negative training data
from the unlabeled data. We then apply our semi-supervised methods to gene
expression data of Escherichia coli and Saccharomyces cerevisiae, and evaluate
the performance of our methods using the expression data. Our analysis
indicated that the transductive learning approach outperformed the inductive
learning approach for both organisms. However, there was no conclusive
difference identified in the performance of SVM and RF. Experimental results
also showed that the proposed semi-supervised methods performed better than
existing supervised methods for both organisms.


title:
Multifrequency Photo-polarimetric WEBT Observation Campaign on the
  Blazar S5 0716+714: Source Microvariability and Search for Characteristic
  Timescales

abstract:
  Here we report on the results of the WEBT photo-polarimetric campaign
targeting the blazar S5~0716+71, organized in March 2014 to monitor the source
simultaneously in BVRI and near IR filters. The campaign resulted in an
unprecedented dataset spanning $\sim 110$\,h of nearly continuous, multi-band
observations, including two sets of densely sampled polarimetric data mainly in
R filter. During the campaign, the source displayed pronounced variability with
peak-to-peak variations of about $30\%$ and "bluer-when-brighter" spectral
evolution, consisting of a day-timescale modulation with superimposed hourlong
microflares characterized by $\sim 0.1$\,mag flux changes. We performed an
in-depth search for quasi-periodicities in the source light curve; hints for
the presence of oscillations on timescales of $\sim 3$\,h and $\sim 5$\,h do
not represent highly significant departures from a pure red-noise power
spectrum. We observed that, at a certain configuration of the optical
polarization angle relative to the positional angle of the innermost radio jet
in the source, changes in the polarization degree led the total flux
variability by about 2\,h; meanwhile, when the relative configuration of the
polarization and jet angles altered, no such lag could be noted. The
microflaring events, when analyzed as separate pulse emission components, were
found to be characterized by a very high polarization degree ($> 30\%$) and
polarization angles which differed substantially from the polarization angle of
the underlying background component, or from the radio jet positional angle. We
discuss the results in the general context of blazar emission and energy
dissipation models.


title: QPass: a Merit-based Evaluation of Soccer Passes

abstract:
  Quantitative analysis of soccer players' passing ability focuses on
descriptive statistics without considering the players' real contribution to
the passing and ball possession strategy of their team. Which player is able to
help the build-up of an attack, or to maintain the possession of the ball? We
introduce a novel methodology called QPass to answer questions like these
quantitatively. Based on the analysis of an entire season, we rank the players
based on the intrinsic value of their passes using QPass. We derive an album of
pass trajectories for different gaming styles. Our methodology reveals a quite
counterintuitive paradigm: losing the ball possession could lead to better
chances to win a game.


title:
Sequence Graph Transform (SGT): A Feature Embedding Function for
  Sequence Data Mining

abstract:
  Sequence feature embedding is a challenging task due to the unstructuredness
of sequence, i.e., arbitrary strings of arbitrary length. Existing methods are
efficient in extracting short-term dependencies but typically suffer from
computation issues for the long-term. Sequence Graph Transform (SGT), a feature
embedding function, that can extract a varying amount of short- to long-term
dependencies without increasing the computation is proposed. SGT's properties
are analytically proved for interpretation under normal and uniform
distribution assumptions. SGT features yield significantly superior results in
sequence clustering and classification with higher accuracy and lower
computation as compared to the existing methods, including the state-of-the-art
sequence/string Kernels and LSTM.


title: Theta integrals and generalized error functions

abstract:
  In a recent preprint, arXiv:1606.05495v1, Alexandrov, Banerjee, Manschot and
Pioline introduced generalized error functions and used them to construct
indefinite theta series associated to quadratic lattices L of signature
(n-2,2). These series are generalizations of those constructed by Zwegers for
lattices of signature (n-1,1) and are shown to be `modular completions' of
certain nice $q$-series. In this paper, we show that the ABMP-indefinite theta
series for signature (n-2,2) can also be obtained as integrals of the form
valued theta series introduced in joint work with J. Millson in 1986. Given two
pairs {C1,C2} and {C2,C2'} of negative vectors in the real quadratic space V
obtained from L, we suppose that these vectors determine 4 distinct oriented
negative 2-planes {C1,C2},{C1,C2'},{C1',C2'},{C1',C2} lying in the same
component of the space D of oriented negative 2 -planes in V. These 2-planes
determined a surface S in D and the non-holomorphic modular form obtained by
integrating the KM-theta series over S is show to coincide with the
ABMP-indefinite theta series. Moreover, the associated q-series in interpreted
as the generating series for the intersection numbers of S with the codimension
2 subspaces D_x of D defined by positive lattice vectors.


title: Intuitionistic Logic Programming for SQL (Extended Abstract)

abstract:
  Intuitionistic logic programming provides the notion of embedded implication
in rule bodies, which can be used to reason about a current database modified
by the antecedent. This can be applied to a system that translates SQL to
Datalog to solve SQL WITH queries, for which relations are locally defined and
can therefore be understood as added to the current database. In addition,
assumptions in SQL queries as either adding or removing data can be modelled in
this way as well, which is an interesting feature for decision-support
scenarios. This work suggests a way to apply intuitionistic logic programming
to SQL, and provides a pointer to a working system implementing this idea.


title:
A Machine Learning Based Forwarding Algorithm Over Cognitive Radios in
  Wireless Mesh Networks

abstract:
  Wireless Mesh Networks improve their capacities by equipping mesh nodes with
multi-radios tuned to non-overlapping channels. Hence the data forwarding
between two nodes has multiple selections of links and the bandwidth between
the pair of nodes varies dynamically. Under this condition, a mesh node adopts
machine learning mechanisms to choose the possible best next hop which has
maximum bandwidth when it intends to forward data. In this paper, we present a
machine learning based forwarding algorithm to let a forwarding node
dynamically select the next hop with highest potential bandwidth capacity to
resume communication based on learning algorithm. Key to this strategy is that
a node only maintains three past status, and then it is able to learn and
predict the potential bandwidth capacities of its links. Then, the node selects
the next hop with potential maximal link bandwidth. Moreover, a geometrical
based algorithm is developed to let the source node figure out the forwarding
region in order to avoid flooding. Simulations demonstrate that our approach
significantly speeds up the transmission and outperforms other peer algorithms.


title: Tensor eigenvalues and entanglement of symmetric states

abstract:
  Tensor eigenvalues and eigenvectors have been introduced in the recent
mathematical literature as a generalization of the usual matrix eigenvalues and
eigenvectors. We apply this formalism to a tensor that describes a multipartite
symmetric state or a spin state, and we investigate to what extent the
corresponding tensor eigenvalues contain information about the multipartite
entanglement (or, equivalently, the classicality) of the state. This extends
previous results connecting entanglement to spectral properties related to the
state. While for spin-1 states the positivity of the smallest tensor eigenvalue
is equivalent to separability, we show that for higher values of the angular
momentum there is a correlation between entanglement and the value of the
smallest tensor eigenvalue.


title: Normalising graphs of groups

abstract:
  We discuss a partial normalisation of a finite graph of finite groups
$(\Gamma(-), X)$ which leaves invariant the fundamental group. In conjunction
with an easy graph-theoretic result, this provides a flexible and rather useful
tool in the study of finitely generated virtually free groups. Applications
discussed here include (i) an important inequality for the number of edges in a
Stallings decomposition $\Gamma \cong \pi_1(\Gamma(-), X)$ of a finitely
generated virtually free group, (ii) the proof of equivalence of a number of
conditions for such a group to be `large', as well as (iii) the classification
up to isomorphism of virtually free groups of (free) rank $2$. We also discuss
some number-theoretic consequences of the last result.


title:
Complex central structures suggest complex evolutionary paths for barred
  S0 galaxies

abstract:
  We investigate three barred lenticular galaxies (NGC 2681, NGC 3945 and NGC
4371) which were previously reported to have complex central structures but
without a detailed structural analysis of these galaxies' high-resolution data.
We have therefore performed four- to six-component
(pseudo-)bulge/disk/bar/ring/point source) decompositions of the composite
(Hubble Space Telescope plus ground-based) surface brightness profiles. We find
that NGC 2681 hosts three bars, while NGC 3945 and NGC 4371 are double- and
single-barred galaxies, respectively, in agreement with past isophotal
analysis. We find that the bulges in these galaxies are compact, and have
S\'ersic indices of $n\sim 2.2 - 3.6$ and stellar masses of $M_{*}$ $\sim
0.28\times10^{10} - 1.1\times10^{10} M_{\sun}$. NGC 3945 and NGC 4371 have
intermediate-scale `pseudo-bulges' that are well described by a S\'ersic model
with low $n \la 0.5$ instead of an exponential ($n=1$) profile as done in the
past. We measure emission line fluxes enclosed within 9 different elliptical
apertures, finding that NGC 2681 has a LINER-type emission inside $R \sim
3\arcsec$, but the emission line due to star formation is significant when
aperture size is increased. In contrast, NGC 3945 and NGC 4371 have composite
(AGN plus star forming)- and LINER-type emissions inside and outside $R \sim
2\arcsec$, respectively. Our findings suggest that the three galaxies have
experienced a complex evolutionary path. The bulges appear to be consequences
of an earlier violent merging event while subsequent disk formation via gas
accretion and bar-driven perturbations may account for the build-up of
pseudo-bulges, bars, rings and point sources.


title: Forming chondrules in impact splashes - II Volatile retention

abstract:
  Solving the mystery of the origin of chondrules is one of the most elusive
goals in the field of meteoritics. Recently the idea of planet(esimal)
collisions releasing splashes of lava droplets, long considered out of favor,
has been reconsidered as a possible origin of chondrules by several papers. One
of the main problems with this idea is the lack of quantitative and simple
models that can be used to test this scenario by directly comparing to the many
known observables of chondrules. In Paper I of this series we presented a
simple thermal evolution model of a spherically symmetric expanding cloud of
molten lava droplets that is assumed to emerge from a collision between two
planetesimals. In the present paper, number II of this series, we use this
model to calculate whether or not volatile elements such as Na and K will
remain abundant in these droplets or whether they will get depleted due to
evaporation. The high density of the droplet cloud (e.g. small distance between
adjacent droplets) causes the vapor to quickly reach saturation pressure and
thus shutting down further evaporation. We show to which extent, and under
which conditions, this keeps the abundances of these elements high, as is seen
in chondrules. We find that for most parameters of our model (cloud mass,
expansion velocity, initial temperature) the volatile elements Mg, Si and Fe
remain entirely in the chondrules. The Na and K abundances inside the droplets
will initially stay mostly at their initial values due to the saturation of the
vapor pressure, but at some point start to drop due to the cloud expansion.
However, as soon as the temperature starts to decrease, most or all of the
vapor recondenses again. At the end the Na and K elements retain most of their
initial abundances, albeit occasionally somewhat reduced, depending on the
parameters of the expanding cloud model.


title: Abundances in a sample of turnoff and subgiant stars in NGC 6121 (M4)

abstract:
  {The aim of this work is to investigate the relations between the abundances
of different elements in the globular cluster M4, selected for its uniform
deficiency of iron, to explore the best models explaining the pattern of these
observed abundances. Moreover, in turnoff stars, the abundances of the elements
are not suspected to be affected by internal mixing. In M4, using low and
moderate resolution spectra obtained for 91 turnoff (and subgiant) stars with
the ESO FLAMES-Giraffe spectrograph, we have extended previous measurements of
abundances (of Li, C and Na) to other elements (C, Si, Ca, Sr and Ba), using
model atmosphere analysis. We have also studied the influence of the choice of
the microturbulent velocity. Firstly, the peculiar turnoff star found to be
very Li-rich in a previous paper does not show any other abundance anomalies
relative to the other turnoff stars in M4. ~Secondly, an anti-correlation
between C and Na has been detected, the slope being significative at more than
$3\sigma$. This relation between C and Na is in perfect agreement with the
relation found in giant stars selected below the RGB bump. ~Thirdly, the strong
enrichment of Si and of the neutron-capture elements Sr and Ba, already
observed in the giants in M4, is confirmed. ~Finally, the relations between Li,
C, Na, Sr and Ba constrain the enrichment processes of the observed stars. The
abundances of the elements in the turnoff stars appear to be compatible with
production processes by massive AGBs, but are also compatible with the
production of second generation elements (like Na) and low Li produced by, for
example, fast rotating massive stars.


title:
WikiReading: A Novel Large-scale Language Understanding Task over
  Wikipedia

abstract:
  We present WikiReading, a large-scale natural language understanding task and
publicly-available dataset with 18 million instances. The task is to predict
textual values from the structured knowledge base Wikidata by reading the text
of the corresponding Wikipedia articles. The task contains a rich variety of
challenging classification and extraction sub-tasks, making it well-suited for
end-to-end models such as deep neural networks (DNNs). We compare various
state-of-the-art DNN-based architectures for document classification,
information extraction, and question answering. We find that models supporting
a rich answer space, such as word or character sequences, perform best. Our
best-performing model, a word-level sequence to sequence model with a mechanism
to copy out-of-vocabulary words, obtains an accuracy of 71.8%.


title:
Weak Proregularity, Weak Stability, and the Noncommutative MGM
  Equivalence

abstract:
  Let A be a commutative ring, and let \a = \frak{a} be a finitely generated
ideal in it. It is known that a necessary and sufficient condition for the
derived \a-torsion and \a-adic completion functors to be nicely behaved is the
weak proregularity of \a. In particular, the MGM Equivalence holds.
  Because weak proregularity is defined in terms of elements of the ring
(specifically, it involves limits of Koszul complexes), it is not suitable for
noncommutative ring theory.
  In this paper we introduce a new condition on a torsion class T in a module
category: weak stability. Our first main theorem is that in the commutative
case, the ideal \a is weakly proregular if and only if the corresponding
torsion class T_{\a} is weakly stable.
  We then study weak stability of torsion classes in module categories over
noncommutative rings. There are three main theorems in this context: - For a
torsion class T that is weakly stable, quasi-compact and finite dimensional,
the right derived torsion functor is isomorphic to a left derived tensor
functor. - The Noncommutative MGM Equivalence, under the same assumptions on T.
- A theorem about symmetric derived torsion for complexes of bimodules. This
last theorem is a generalization of a result of Van den Bergh from 1997, and
corrects an error in a paper of Yekutieli-Zhang from 2003.


title: On Context-Dependent Clustering of Bandits

abstract:
  We investigate a novel cluster-of-bandit algorithm CAB for collaborative
recommendation tasks that implements the underlying feedback sharing mechanism
by estimating the neighborhood of users in a context-dependent manner. CAB
makes sharp departures from the state of the art by incorporating collaborative
effects into inference as well as learning processes in a manner that
seamlessly interleaving explore-exploit tradeoffs and collaborative steps. We
prove regret bounds under various assumptions on the data, which exhibit a
crisp dependence on the expected number of clusters over the users, a natural
measure of the statistical difficulty of the learning task. Experiments on
production and real-world datasets show that CAB offers significantly increased
prediction performance against a representative pool of state-of-the-art
methods.


title: An OpenSHMEM Implementation for the Adapteva Epiphany Coprocessor

abstract:
  This paper reports the implementation and performance evaluation of the
OpenSHMEM 1.3 specification for the Adapteva Epiphany architecture within the
Parallella single-board computer. The Epiphany architecture exhibits massive
many-core scalability with a physically compact 2D array of RISC CPU cores and
a fast network-on-chip (NoC). While fully capable of MPMD execution, the
physical topology and memory-mapped capabilities of the core and network
translate well to Partitioned Global Address Space (PGAS) programming models
and SPMD execution with SHMEM.


title:
Discrete Subsets in Topological Groups and Countable Extremally
  Disconnected Groups

abstract:
  It is proved that any countable topological group in which the filter of
neighborhoods of the identity element is not rapid contains a discrete set with
precisely one nonisolated point. This gives a negative answer to Protasov's
question on the existence in ZFC of a countable nondiscrete group in which all
discrete subsets are closed. It is also proved that the existence of a
countable nondiscrete extremally disconnected group implies the existence of a
rapid ultrafilter and, hence, a countable nondiscrete extremally disconnected
group cannot be constructed in ZFC.


title:
Path-component invariants for spaces of positive scalar curvature
  metrics

abstract:
  The Kreck-Stolz $s$-invariant is a classic path-component invariant for the
space and moduli space of positive scalar curvature metrics. It is an absolute
(as opposed to relative) invariant, but this strength comes at the expense of
being defined only under restrictive topological conditions. The aim of this
paper is to construct an analogous invariant for certain product manifolds on
which the $s$-invariant is not defined.


title: Looijenga line bundles in complex analytic elliptic cohomology

abstract:
  We present a calculation, which shows how the moduli of complex analytic
elliptic curves arises naturally from the Borel cohomology of an extended
moduli space of $U(1)$-bundles on a torus. Furthermore, we show how the
analogous calculation, applied to a moduli space of principal bundles for a
$K(\mathbb{Z},2)$ central extension of $U(1)^d$ give rise to Looijenga line
bundles. We then speculate on the relation of these calculations to the
construction of complex analytic equivariant elliptic cohomology.


title:
OpenCL + OpenSHMEM Hybrid Programming Model for the Adapteva Epiphany
  Architecture

abstract:
  There is interest in exploring hybrid OpenSHMEM + X programming models to
extend the applicability of the OpenSHMEM interface to more hardware
architectures. We present a hybrid OpenCL + OpenSHMEM programming model for
device-level programming for architectures like the Adapteva Epiphany many-core
RISC array processor. The Epiphany architecture comprises a 2D array of
low-power RISC cores with minimal uncore functionality connected by a 2D mesh
Network-on-Chip (NoC). The Epiphany architecture offers high computational
energy efficiency for integer and floating point calculations as well as
parallel scalability. The Epiphany-III is available as a coprocessor in
platforms that also utilize an ARM CPU host. OpenCL provides good functionality
for supporting a co-design programming model in which the host CPU offloads
parallel work to a coprocessor. However, the OpenCL memory model is
inconsistent with the Epiphany memory architecture and lacks support for
inter-core communication. We propose a hybrid programming model in which
OpenSHMEM provides a better solution by replacing the non-standard OpenCL
extensions introduced to achieve high performance with the Epiphany
architecture. We demonstrate the proposed programming model for matrix-matrix
multiplication based on Cannon's algorithm showing that the hybrid model
addresses the deficiencies of using OpenCL alone to achieve good benchmark
performance.


title: Quantum-coherent phase oscillations in synchronization

abstract:
  Recently, several studies have investigated synchronization in
quantum-mechanical limit-cycle oscillators. However, the quantum nature of
these systems remained partially hidden, since the dynamics of the oscillator's
phase was overdamped and therefore incoherent. We show that there exist regimes
of underdamped and even quantum-coherent phase motion, opening up new
possibilities to study quantum synchronization dynamics. To this end, we
investigate the Van der Pol oscillator (a paradigm for a self-oscillating
system) synchronized to an external drive. We derive an effective quantum model
which fully describes the regime of underdamped phase motion and additionally
allows us to identify the quality of quantum coherence. Finally, we identify
quantum limit cycles of the phase itself.


title: On middle cube graphs

abstract:
  We study a family of graphs related to the $n$-cube. The middle cube graph of
parameter $k$ is the subgraph of $Q_{2k-1}$ induced by the set of vertices
whose binary representation has either $k-1$ or $k$ number of ones. The middle
cube graphs can be obtained from the well-known odd graphs by doubling their
vertex set. Here we study some of the properties of the middle cube graphs in
the light of the theory of distance-regular graphs. In particular, we
completely determine their spectra (eigenvalues and their multiplicities, and
associated eigenvectors).


title: Closure of singular foliations: the proof of Molino's conjecture

abstract:
  In this paper we prove the conjecture of Molino that for every singular
Riemannian foliation $(M,\mathcal{F})$, the partition $\bar{\mathcal{F}}$ given
by the closures of the leaves of $\mathcal{F}$ is again a singular Riemannian
foliation.


title: On the highly inclined $v_W$ leptokurtic asteroid families

abstract:
  $v_W$ leptokurtic asteroid families are families for which the distribution
of the normal component of the terminal ejection velocity field $v_W$ is
characterized by a positive value of the ${\gamma}_2$ Pearson kurtosis, i.e.,
they have a distribution with a more concentrated peak and larger tails than
the Gaussian one. Currently, eight families are known to have ${\gamma}_2(v_W)
> 0.25$. Among these, three are highly inclined asteroid families, the Hansa,
Barcelona, and Gallia families. As observed for the case of the Astrid family,
the leptokurtic inclination distribution seems to be caused by the interaction
of these families with node secular resonances. In particular, the Hansa and
Gallia family are crossed by the $s-s_V$ resonance with Vesta, that
significantly alters the inclination of some of their members.
  In this work we use the time evolution of ${\gamma}_2(v_W)$ for simulated
families under the gravitational influence of all planets and the three most
massive bodies in the main belt to assess the dynamical importance (or lack of)
node secular resonances with Ceres, Vesta, and Pallas for the considered
families, and to obtain independent constraints on the family ages. While
secular resonances with massive bodies in the main belt do not significantly
affect the dynamical evolution of the Barcelona family, they significantly
increase the ${\gamma}_2(v_W)$ values of the simulated Hansa and Gallia
families. Current values of the ${\gamma}_2(v_W)$ for the Gallia family are
reached over the estimated family age only if secular resonances with Vesta are
accounted for.


title: Infinitely supported Liouville measures of Schreier graphs

abstract:
  We provide equivalent conditions for Liouville property of actions of groups.
As an application, we show that there is a Liouville measure for the action of
the Thompson group $F$ on dyadic rationals. This result should be compared with
a recent result of Kaimanovich, where he shows that the action of the Thompson
group F on dyadic rationals is not Liouville for all finitely supported
measures. As another application we show that there is a Liouville measure for
lamplighter actions. This gives more examples of non-amenable Liouville
actions.


title: Generation of optical vorticity from topological defects

abstract:
  The propagation of an electromagnetic wave in a medium with a screw
dislocation is studied. Adopting the formalism of differential forms, it is
shown that torsion is responsible for quantized modes. Moreover, it is
demonstrated that the modes thus obtained have well defined orbital angular
momentum, opening the possibility to design liquid-crystal-based optical
tweezers.


title:
The XML and Semantic Web Worlds: Technologies, Interoperability and
  Integration. A Survey of the State of the Art

abstract:
  In the context of the emergent Web of Data, a large number of organizations,
institutes and companies (e.g., DBpedia, Geonames, PubMed ACM, IEEE, NASA, BBC)
adopt the Linked Data practices and publish their data utilizing Semantic Web
(SW) technologies. On the other hand, the dominant standard for information
exchange in the Web today is XML. Many international standards (e.g., Dublin
Core, MPEG-7, METS, TEI, IEEE LOM) have been expressed in XML Schema resulting
to a large number of XML datasets. The SW and XML worlds and their developed
infrastructures are based on different data models, semantics and query
languages. Thus, it is crucial to provide interoperability and integration
mechanisms to bridge the gap between the SW and XML worlds. In this chapter, we
give an overview and a comparison of the technologies and the standards adopted
by the XML and SW worlds. In addition, we outline the latest efforts from the
W3C groups, including the latest working drafts and recommendations (e.g., OWL
2, SPARQL 1.1, XML Schema 1.1). Moreover, we present a survey of the research
approaches which aim to provide interoperability and integration between the
XML and SW worlds. Finally, we present the SPARQL2XQuery and XS2OWL Frameworks,
which bridge the gap and create an interoperable environment between the two
worlds. These Frameworks provide mechanisms for: (a) Query translation (SPARQL
to XQuery translation); (b) Mapping specification and generation (Ontology to
XML Schema mapping); and (c) Schema transformation (XML Schema to OWL
transformation).


title:
A regularity criterion for the 3D full compressible magnetohydrodynamic
  equations with zero heat conductivity

abstract:
  We establish a regularity criterion for the 3D full compressible
magnetohydrodynamic equations with zero heat conductivity and vacuum in a
bounded domain.


title:
Scattering and bound states of Dirac Equation in presence of cosmic
  string for Hulth\'en potential

abstract:
  In this work we study the Dirac equation with vector and scalar potentials in
the spacetime generated by a cosmic string. Using an approximation for the
centrifugal term, a solution for the radial differential equation is obtained.
We consider the scattering states under the Hulth\'{e}n potential and obtain
the phase shifts. From the poles of the scattering $S$-matrix the states
energies are determined as well.


title: Revisiting fermion helicity flip in Podolsky's Electromagnetism

abstract:
  The spin projection of a massive particle onto its direction of motion is
called helicity (or "handedness"). It can therefore be positive or negative.
When a particle's helicity changes from positive to negative (or vice-versa)
due to its interaction with other particles or fields, we say there is a
helicity flip. In this work we show that such helicity flip can be seen for an
electron of $20 MeV$ of energy interacting with a charged scalar meson through
the exchange of a virtual photon. This photon {\it does not} necessarily need
to be Podolsky's proposed photon; in fact, it is independent of it.


title:
Measurement of the mass of the top quark in decays with a J/psi meson in
  pp collisions at 8 TeV

abstract:
  A first measurement of the top quark mass using the decay channel t to (W to
l nu) (b to J/psi + X to mu+ mu- + X) is presented. The analysis uses events
selected from the proton-proton collisions recorded with the CMS detector at
the LHC at a center-of-mass energy of 8 TeV. The data correspond to an
integrated luminosity of 19.7 inverse femtobarns, with 666 t t-bar and single
top quark candidate events containing a reconstructed J/psi candidate decaying
into an oppositely-charged muon pair. The mass of the (J/psi + l) system, where
l is an electron or a muon from W boson decay, is used to extract a top quark
mass of 173.5 +/- 3.0 (stat) +/- 0.9 (syst) GeV.


title:
Electric field and strain induced Rashba effect in hybrid halide
  perovskites

abstract:
  Using first principles density functional theory calculations, we show how
Rashba-type energy band splitting in the hybrid organic-inorganic halide
perovskites APbX$_3$ (A=CH$_3$NH$_3^+$, CH(NH$_2$)$_2^+$, Cs$^+$ and X=I, Br)
can be tuned and enhanced with electric fields and anisotropic strain. In
particular, we demonstrate that the magnitude of the Rashba splitting of
tetragonal (CH$_3$NH$_3$)PbI$_3$ grows with increasing macroscopic alignment of
the organic cations and electric polarization, indicating appreciable
tunability with experimentally-feasible applied fields, even at room
temperature. Further, we quantify the degree to which this effect can be tuned
via chemical substitution at the A and X sites, which alters amplitudes of
different polar distortion patterns of the inorganic PbX$_3$ cage that directly
impact Rashba splitting. In addition, we predict that polar phases of CsPbI$_3$
and (CH$_3$NH$_3$)PbI$_3$ with $R3c$ symmetry possessing considerable Rashba
splitting might be accessible at room temperature via anisotropic strain
induced by epitaxy, even in the absence of electric fields.


title:
The Geometric phase and fractional orbital angular momentum states in
  electron vortex beams

abstract:
  We study here fractional orbital angular momentum (OAM) states in electron
vortex beams (EVB) from the perspective of geometric phase. We have considered
the skyrmionic model of an electron, where it is depicted as a scalar electron
orbiting around the vortex line, which gives rise to the spin degrees of
freedom. The geometric phase acquired by the scalar electron orbiting around
the vortex line induces the spin-orbit interaction, which leads to the
fractional OAM states with non-quantized monopole charge associated with the
corresponding geometric phase. This involves tilted vortex in EVBs. The
monopole charge undergoes the renormalization group (RG) flow, which
incorporates a length scale dependence making the fractional OAM states
unstable upon propagation. It is pointed out that when EVBs move in an external
magnetic field, the Gouy phase associated with the Laguerre-Gaussian modes
modifies the geometric phase factor and a proper choice of the radial index
helps to have a stable fractional OAM state.


title: Pumping approximately integrable systems

abstract:
  Weak perturbations can drive an interacting many-particle system far from its
initial equilibrium state if one is able to pump into degrees of freedom
approximately protected by conservation laws. This concept has for example been
used to realize Bose-Einstein condensates of photons, magnons, and excitons.
Integrable quantum systems, like the one-dimensional Heisenberg model, are
characterized by an infinite set of conservation laws. Here we develop a theory
of weakly driven integrable systems and show that pumping can induce large spin
or heat currents even in the presence of integrability breaking perturbations,
since it activates local and quasi-local approximate conserved quantities. The
resulting steady state is qualitatively captured by a truncated generalized
Gibbs ensemble with Lagrange parameters that depend on the structure but not on
the overall amplitude of perturbations nor the initial state. We suggest to use
spin-chain materials driven by terahertz radiation to realize
integrability-based spin and heat pumps.


title: Standard Model Extended by a Heavy Singlet: Linear vs. Nonlinear EFT

abstract:
  We consider the Standard Model extended by a heavy scalar singlet in
different regions of parameter space and construct the appropriate low-energy
effective field theories up to first nontrivial order. This top-down exercise
in effective field theory is meant primarily to illustrate with a simple
example the systematics of the linear and nonlinear electroweak effective
Lagrangians and to clarify the relation between them. We discuss power-counting
aspects and the transition between both effective theories on the basis of the
model, confirming in all cases the rules and procedures derived in previous
works from a bottom-up approach.