title:
Direct Simulation Monte Carlo for astrophysical flows: I. Motivation and
  methodology

abstract:
  We describe a hybrid Direct Simulation Monte Carlo (DSMC) code for
simultaneously solving the collisional Boltzmann equation for gas and the
collisionless Boltzmann equation for stars and dark matter for problems
important to galaxy evolution. This project is motivated by the need to
understand the controlling dynamics at interfaces between gases of widely
differing densities and temperature, i.e. multiphase media. While more
expensive than hydrodynamics, the kinetic approach does not suffer from
discontinuities and it applies when the continuum limit does not, such as in
the collapse of galaxy clusters and at the interface between coronal halo gas
and a thin neutral gas layer. Finally, the momentum flux is carried,
self-consistently, by particles and this approach explicitly resolves and
thereby captures shocks. The DSMC method splits the solution into two pieces:
1) the evolution of the phase-space flow without collisions; and 2) the
evolution governed the collision term alone without phase-space flow. This
splitting approach makes DSMC an ideal match to existing particle-based n-body
codes. If the mean free path becomes very small compared to any scale of
interest, the method abandons simulated particle collisions and simply adopts
the relaxed solution in each interaction cell consistent with the overall
energy and momentum fluxes. This is functionally equivalent to solving the
Navier-Stokes equations on a mesh. Our implementation is tested using the Sod
shock tube problem and the non-linear development of an Kelvin-Helmholtz
unstable shear layer.


title:
Direct Simulation Monte Carlo for astrophysical flows: II. Ram pressure
  dynamics

abstract:
  We use the Direct Simulation Monte Carlo (DSMC) method combined with an
n-body code to study the dynamics of the interaction between a gas-rich spiral
galaxy and intracluster or intragroup medium, often known as the ram pressure
scenario. The advantage of this gas kinetic approach over traditional
hydrodynamics is explicit treatment of the interface between the hot and cold,
dense and rarefied media typical of astrophysical flows and the explicit
conservation of energy and momentum and the interface. This approach yields
some new physical insight. Owing to the shock and backward wave that forms at
the point ICM--ISM contact, ICM gas is compressed, heated and slowed. The shock
morphology is Mach-disk-like. In the outer galaxy, the hot turbulent post-shock
gas flows around the galaxy disk, while heating and ablating the initially cool
disk gas. The outer gas and angular momentum are lost to the flow. In the inner
galaxy, the hot gas pressurizes the neutral ISM gas causing a strong two-phase
instability. As a result, the momentum of the wind is no longer impulsively
communicated to the cold gas as assumed in the Gunn-Gott (1972) formula, but
oozes through the porous disk, transferring its linear momentum to the disk en
masse. The escaping gas mixture has a net positive angular momentum and forms a
slowly rotating sheath. The shear flow caused by the post-shock ICM flowing
through the porous multiphase ISM creates a strong Kelvin-Helmholtz instability
in the disk that results in Cartwheel-like ring and spoke morphology.


title: Lacunary Fourier and Walsh-Fourier series near L^1

abstract:
  We prove that, for functions in the Orlicz class LloglogLloglogloglogL,
lacunary subsequences of the Fourier and the Walsh-Fourier series converge
almost everywhere. Our integrability condition is less stringent than the
homologous assumption in the almost everywhere convergence theorems of Lie
(Fourier case) and Do-Lacey (Walsh-Fourier case), where the quadruple
logarithmic term is replaced by a triple logarithm. Our proof of the
Walsh-Fourier case is self-contained and, in antithesis to Do and Lacey's
argument, avoids the use of Antonov's lemma, arguing directly via novel
weak-L^p bounds for the Walsh-Carleson operator.


title: Smart Microgrids: Overview and Outlook

abstract:
  The idea of changing our energy system from a hierarchical design into a set
of nearly independent microgrids becomes feasible with the availability of
small renewable energy generators. The smart microgrid concept comes with
several challenges in research and engineering targeting load balancing,
pricing, consumer integration and home automation. In this paper we first
provide an overview on these challenges and present approaches that target the
problems identified. While there exist promising algorithms for the particular
field, we see a missing integration which specifically targets smart
microgrids. Therefore, we propose an architecture that integrates the presented
approaches and defines interfaces between the identified components such as
generators, storage, smart and \dq{dumb} devices.


title:
Entropy Production and Coarse Graining of the Climate Fields in a
  General Circulation Model

abstract:
  We extend the analysis of the thermodynamics of the climate system by
investigating the role played by processes taking place at various spatial and
temporal scales through a procedure of coarse graining. The coarser is the
graining of the climatic fields, the lower is the resulting estimate of the
material entropy production. In other terms, all the spatial and temporal
scales of variability of the thermodynamic fields provide a positive
contribution to the material entropy production. At all scales, the temperature
fields and the heating fields resulting from the convergence of turbulent
fluxes have a negative correlation, while the opposite holds between the
temperature fields and the radiative heating fields. Moreover, the latter
correlations are stronger, which confirms that radiation acts as primary driver
for the climatic processes, while the material fluxes dampen the resulting
fluctuations through dissipative processes. Using specific coarse-graining
procedures, one can separate the various contributions to the material entropy
production coming from the dissipation of kinetic energy, the vertical sensible
and latent heat fluxes, and the large scale horizontal fluxes. Most of the
entropy production is associated to irreversible exchanges occurring along the
vertical direction, and neglecting the horizontal and time variability of the
fields has a small impact on the estimate of the material entropy production.
The approach presented here seems promising for testing climate models, for
assessing the impact of changing their parametrizations and their resolution,
and for investigating the atmosphere of exoplanets. Our findings deserve to be
explored in a more general context, because they provide a way for
understanding the relationship between forced fluctuations and dissipative
processes in continuum systems.


title: Strategyproof and Consistent Rules for Bipartite Flow Problems

abstract:
  We continue the study of Bochet et al. and Moulin and Sethuraman on fair
allocation in bipartite networks. In these models, there is a moneyless market,
in which a non-storable, homogeneous commodity is reallocated between agents
with single-peaked preferences. Agents are either suppliers or demanders. While
the egalitarian rule of Bochet et al. satisfies pareto optimality, no envy and
strategyproof, it is not consistent. On the other hand, the work of Moulin and
Sethuraman is related to consistent allocations and rules that are extensions
of the uniform rule. We bridge the two streams of work by introducing the edge
fair mechanism which is both consistent and groupstrategyproof. On the way, we
explore the "price of consistency" i.e. how the notion of consistency is
fundamentally incompatible with certain notions of fairness like Lorenz
Dominance and No-Envy. The current work also introduces the idea of strong
invariance as desideratum for groupstrategyproofness and generalizes the proof
of Chandramouli and Sethuraman to a more broader class of mechanisms. Finally,
we conclude with the study of the edge fair mechanism in a transshipment model
where the strategic agents are on the links connecting different supply/demand
locations.


title:
Bifurcations of Normally Hyperbolic Invariant Manifolds and Consequences
  for Reaction Dynamics

abstract:
  In this paper we study the breakdown of normal hyperbolicity and its
consequences for reaction dynamics; in particular, the dividing surface, the
flux through the dividing surface (DS), and the gap time distribution. Our
approach is to study these questions using simple, two degree-of-freedom
Hamiltonian models where calculations for the different geometrical and
dynamical quantities can be carried out exactly. For our examples, we show that
resonances within the normally hyperbolic invariant manifold may, or may not,
lead to a `loss of normal hyperbolicity'. Moreover, we show that the onset of
such resonances results in a change in topology of the dividing surface, but
does not affect our ability to define a DS. The flux through the DS varies
continuously with energy, even as the energy is varied in such a way that
normal hyperbolicity is lost. For our examples the gap time distributions
exhibit singularities at energies corresponding to the existence of homoclinic
orbits in the DS, but these singularities are not associated with loss of
normal hyperbolicity.

categories: nlin.CD cond-mat.stat-mech math.DS physics.chem-ph


title: Faces of Birkhoff Polytopes

abstract:
  The Birkhoff polytope B(n) is the convex hull of all (n x n) permutation
matrices, i.e., matrices where precisely one entry in each row and column is
one, and zeros at all other places. This is a widely studied polytope with
various applications throughout mathematics.
  In this paper we study combinatorial types L of faces of a Birkhoff polytope.
The Birkhoff dimension bd(L) of L is the smallest n such that B(n) has a face
with combinatorial type L.
  By a result of Billera and Sarangarajan, a combinatorial type L of a
d-dimensional face appears in some B(k) for k less or equal to 2d, so bd(L) is
at most d. We will characterize those types whose Birkhoff dimension is at
least 2d-3, and we prove that any type whose Birkhoff dimension is at least d
is either a product or a wedge over some lower dimensional face. Further, we
computationally classify all d-dimensional combinatorial types for d between 2
and 8.


title:
Dynamic vehicle redistribution and online price incentives in shared
  mobility systems

abstract:
  This paper considers a combination of intelligent repositioning decisions and
dynamic pricing for the improved operation of shared mobility systems. The
approach is applied to London's Barclays Cycle Hire scheme, which the authors
have simulated based on historical data. Using model-based predictive control
principles, dynamically varying rewards are computed and offered to customers
carrying out journeys. The aim is to encourage them to park bicycles at nearby
under-used stations, thereby reducing the expected cost of repositioning them
using dedicated staff. In parallel, the routes that repositioning staff should
take are periodically recomputed using a model-based heuristic. It is shown
that a trade-off between reward payouts to customers and the cost of hiring
repositioning staff could be made, in order to minimize operating costs for a
given desired service level.


title:
Lower bounds and infinity criterion for Brauer $p$-dimensions of
  finitely-generated field extensions

abstract:
  Let $E$ be a field, $p$ a prime number and $F/E$ a finitely-generated
extension of transcendency degree $t$. This paper shows that if the absolute
Galois group $\mathcal{G}_{E}$ is of nonzero cohomological $p$-dimension
cd$_{p}(E)$, then the field $F$ has Brauer $p$-dimension Brd$_{p}(F) \ge t$
except, possibly, in case $p = 2$, the Sylow pro-2-subgroups of
$\mathcal{G}_{E}$ are of order 2, and $F$ is a nonreal field. It announces that
Brd$_{p}(F)$ is infinite whenever $t \ge 1$ and the absolute Brauer
$p$-dimension abrd$_{p}(E)$ is infinite; moreover, for each pair $(m, n)$ of
integers with $1 \le m \le n$, there exists a central division $F$-algebra of
exponent $p ^{m}$ and Schur index $p ^{n}$.


title: On estimation of solutions of neutral type systems on nonclosed sets

abstract:
  We consider a differential system of neutral type with distributed delay. We
obtain a precise norm estimation of solutions of the system in question on some
nonclosed set. Our result is based on a spectral analysis of the operator and
Riesz basis theory. We also discuss the stability properties of corresponding
solutions.


title:
Relations between supersymmetric structures in UV and IR for
  $\mathcal{N}=4$ bad theories

abstract:
  We investigate options for the structure of the infrared fixed points of
$\mathcal{N}=4$ bad theories in three dimensions. Unitarity constraints allow a
number of possibilities, not necessarily a product of an interacting
$\mathcal{N}=4$ SCFT and free theories. For each option we provide relations
between the UV and IR $R-$symmetry groups. For some of them we give examples.
In particular, the $\mathcal{N}4$ SU(2) SYM with two fundamental
hypermultiplets is an example of a bad theory which flows to an interacting
irreducible SCFT in the IR. The question of whether all the options are
realized remains open.


title:
Feasibility of the finite amplitude method in covariant density
  functional theory

abstract:
  Self-consistent relativistic random-phase approximation (RPA) in the radial
coordinate representation is established by using the finite amplitude method
(FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as
example, the feasibility of the FAM for the covariant density functionals is
demonstrated, and the newly developed methods are verified by the conventional
RPA calculations. In the present relativistic RPA calculations, the effects of
the Dirac sea can be automatically taken into account in the coordinate-space
representation. The rearrangement terms due to the density-dependent couplings
can be implicitly calculated without extra computational costs in both
iterative and matrix FAM schemes.


title: On the ensemble dependence in black hole geometrothermodynamics

abstract:
  We investigate the dependence of thermodynamic properties of black holes on
the choice of statistical ensemble for a particular class of
Einstein-Maxwell-Gauss-Bonnet black holes with cosmological constant. We use
partial Legendre transformations in the thermodynamic limit in order to compare
the results in different ensembles, and show that the phase transition
structure depend on the choice of thermodynamic potential. This result implies
that thermodynamic metrics which are partially Legendre invariant cannot be
employed to describe black hole thermodynamics, and partly explains why a
particular thermodynamic metric has been used so far in the framework of black
hole geometrothermodynamics.


title: On rapid idempotent ultrafilters

abstract:
  This short note contains the proofs of two small but somewhat surprising
results about ultrafilters on $\mathbb{N}$: 1. strongly summable ultrafilters
are rapid, 2. every rapid ultrafilter induces a closed left ideal of rapid
ultrafilters. As a consequence, there will be rapid minimal idempotents in all
models of set theory with rapid ultrafilters.


title: The Strong Factorial Conjecture

abstract:
  In this paper we present an unexpected link between the Factorial Conjecture
and Furter's Rigidity Conjecture. The Factorial Conjecture in dimension $m$
asserts that if a polynomial $f$ in $m$ variables $X_i$ over $\C$ is such that
${\cal L}(f^k)=0$ for all $k\geq 1$, then $f=0$, where ${\cal L}$ is the
$\C$-linear map from $\C[X_1,...,X_m]$ to $\C$ defined by ${\cal
L}(X_1^{l_1}... X_m^{l_m})=l_1!... l_m!$. The Rigidity Conjecture asserts that
a univariate polynomial map $a(X)$ with complex coefficients of degree at most
$m+1$ such that $a(X)=X$ mod $X^2$, is equal to $X$ if $m$ consecutive
coefficients of the formal inverse of $a(X)$ are zero.


title:
Estimation of residual carrier density near the Dirac point in graphene
  through quantum capacitance measurement

abstract:
  We discuss the residual carrier density (n*) near the Dirac point (DP) in
graphene estimated by quantum capacitance (CQ) and conductivity measurements.
The CQ at the DP has a finite value and is independent of the temperature. A
similar behavior is also observed for the conductivity at the DP, because their
origin is residual carriers induced externally by charged impurities. The n*
extracted from CQ, however, is often smaller than that from the conductivity,
suggesting that the mobility in the puddle region is lower than that in the
linear region. The CQ measurement should be employed for estimating n*
quantitatively.


title: Hard-core bosons in one-dimensional interacting topological bands

abstract:
  We study the hard-core bosons in one-dimensional (1D) interacting topological
bands at different filling factors using exact diagonalization. At the filling
factor $\nu=1$ and in the presence of on-site Hubbard interaction, we find no
sign of the existence of the bosonic topological phase, which is in contrast to
the fermionic case. Instead by studying the momentum distribution and the
condensate fraction we find a superfluid (SF) to Mott-insulator transition
driven by the Hubbard interaction. At the filling factor $\nu=1/3$ and in the
presence of longer-ranged interactions, we identify the bosonic fractional
topological phase (FTP) whose ground-states are characterized by the three-fold
degeneracy and quantized total Berry phase, which is very similar to the
fermionic case. Finally we discuss the reason of the different behaviors of
hard-core bosons at different filling factors by mapping them to spinless
fermions. Our these results can be realized in cold-atom experiments.


title:
On Particle Transport and Radiation Production in Sub-Larmor-Scale
  Electromagnetic Turbulence

abstract:
  The relation of particle transport of relativistic particles in plasmas with
high-amplitude isotropic sub-Larmor-scale magnetic turbulence to the spectra of
radiation simultaneously produced by these particles is investigated both
analytically and numerically. We have found that in the asymptotic regime of
very small particle deflections the pitch angle diffusion coefficient is
directly related to the spectrum of the emitted radiation. Moreover, this
spectrum provides much information about the statistical properties of the
underlying magnetic turbulence. The transition from small- to large-scale
jitter to synchrotron radiation regimes as a function of turbulence properties
has also been explored. These results can readily be used to diagnose
laboratory and astrophysical plasmas.


title:
Optimal Control of Laser-Plasma Instabilities Using Spike Trains of
  Uneven Duration and Delay: STUD Pulses

abstract:
  Adaptive methods of laser irradiation of plasmas are proposed consisting of
deterministic, `on-off' amplitude modulations in time, and intermittently
changing speckle-patterns. These laser pulses consist of a series of picosecond
time-scale spikes in a spike train of uneven duration and delay (STUD pulses),
in contrast to hydrodynamic-time-scale modulated, multi-nanosecond pulses for
laser fusion. Properly designed STUD pulses minimize backscatter and tame any
absorptive parametric instability for a given set of plasma conditions, by
adjusting the modulation periods, duty cycles and spatial hot-spot-distribution
scrambling-rates of the spikes. Traditional methods of beam conditioning are
subsumed or surpassed by STUD pulses. In addition, STUD pulses allow an advance
in the control of instabilities driven by spatially overlapped laser beams by
allowing the spikes of crossing beams to be temporally staggered. When the
intensity peaks of one fall within the nulls of its crossing beam, it allows an
on-off switch or a dimmer for pairwise or multi-beam interactions.


title: Decoding the message from meteoritic stardust silicon carbide grains

abstract:
  Micron-sized stardust grains that originated in ancient stars are recovered
from meteorites and analysed using high-resolution mass spectrometry. The most
widely studied type of stardust is silicon carbide (SiC). Thousands of these
grains have been analysed with high precision for their Si isotopic
composition. Here we show that the distribution of the Si isotopic composition
of the vast majority of stardust SiC grains carry the imprints of a spread in
the age-metallicity distribution of their parent stars and of a power-law
increase of the relative formation efficiency of SiC dust with the metallicity.
This result offers a solution for the long-standing problem of silicon in
stardust SiC grains, confirms the necessity of coupling chemistry and dynamics
in simulations of the chemical evolution of our Galaxy, and constrains the
modelling of dust condensation in stellar winds as function of the metallicity.


title:
Parametric Sensitivity Analysis for Biochemical Reaction Networks based
  on Pathwise Information Theory

abstract:
  Stochastic modeling and simulation provide powerful predictive methods for
the intrinsic understanding of fundamental mechanisms in complex biochemical
networks. Typically, such mathematical models involve networks of coupled jump
stochastic processes with a large number of parameters that need to be suitably
calibrated against experimental data. In this direction, the parameter
sensitivity analysis of reaction networks is an essential mathematical and
computational tool, yielding information regarding the robustness and the
identifiability of model parameters. However, existing sensitivity analysis
approaches such as variants of the finite difference method can have an
overwhelming computational cost in models with a high-dimensional parameter
space. We develop a sensitivity analysis methodology suitable for complex
stochastic reaction networks with a large number of parameters. The proposed
approach is based on Information Theory methods and relies on the
quantification of information loss due to parameter perturbations between
time-series distributions. For this reason, we need to work on path-space,
i.e., the set consisting of all stochastic trajectories, hence the proposed
approach is referred to as "pathwise". The pathwise sensitivity analysis method
is realized by employing the rigorously-derived Relative Entropy Rate (RER),
which is directly computable from the propensity functions. A key aspect of the
method is that an associated pathwise Fisher Information Matrix (FIM) is
defined, which in turn constitutes a gradient-free approach to quantifying
parameter sensitivities. The structure of the FIM turns out to be
block-diagonal, revealing hidden parameter dependencies and sensitivities in
reaction networks.


title: Millimeter Wave Picocellular System Evaluation for Urban Deployments

abstract:
  With the severe spectrum shortage in conventional cellular bands, millimeter
wave (mmW) frequencies between 30 and 300 GHz have been attracting growing
attention as a possible candidate for next-generation micro- and picocellular
wireless networks. The mmW bands offer orders of magnitude greater spectrum
than current cellular allocations and enable very high-dimensional antenna
arrays for further gains via spatial multiplexing. However, the propagation of
mmW signals in outdoor non line-of-sight (NLOS) links remains challenging and
the feasibility of wide-area mmW cellular networks is far from clear. This
paper uses recent real-world measurements at 28 GHz in New York City to provide
a realistic assessment of mmW picocellular networks in a dense urban
deployment. It is found that, even under conservative propagation assumptions,
mmW systems with cell radii of 100m can offer an order of magnitude increase in
capacity over current state-of-the-art 4G cellular networks with similar cell
density. However, it is also shown that such mmW networks may operate in a
largely power-limited regime where the full spatial and bandwidth degrees of
freedom are not fully utilized. This power-limited regime contrasts
significantly with current bandwidth-limited cellular systems, requiring
alternate technologies for mmW systems that may unlock further gains that mmW
frequency bands offer.


title:
Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic
  Differential Equations --- Time-Consistent Solutions

abstract:
  Linear-quadratic optimal control problems are considered for mean-field
stochastic differential equations with deterministic coefficients.
Time-inconsistency feature of the problems is carefully investigated. Both
open-loop and closed-loop equilibrium solutions are presented for such kind of
problems. Open-loop solutions are presented by means of variational method with
decoupling of forward-backward stochastic differential equations, which lead to
a Riccati equation system lack of symmetry. Closed-loop solutions are presented
by means of multi-person differential games, the limit of which leads to a
Riccati equation system with a symmetric structure.


title:
Blenders in center unstable H\'enon-like families: with an application
  to heterodimensional bifurcations

abstract:
  We give an explicit family of polynomial maps called center unstable
H\'enon-like maps and prove that they exhibits blenders for some
parametervalues. Using this family, we also prove the occurrence of blenders
near certain non-transverse heterodimensional cycles under high regularity
assumptions. The proof involves a renormalization scheme along heteroclinic
orbits. We also investigate the connection between the blender and the original
heterodimensional cycle.


title: Projective cell modules of Frobenius cellular algebras

abstract:
  For a finite dimensional Frobenius cellular algebra, a sufficient and
necessary condition for a simple cell module to be projective is given. A
special case that dual bases of the cellular basis satisfying a certain
condition is also considered. The result is similar to that in symmetric case.


title: Phonon-induced dynamic resonance energy transfer

abstract:
  In a network of interacting quantum systems achieving fast coherent energy
transfer is a challenging task. While quantum systems are susceptible to a wide
range of environmental factors, in many physical settings their interactions
with quantized vibrations, or phonons, of a supporting structure are the most
prevalent. This leads to noise and decoherence in the network, ultimately
impacting the energy-transfer process. In this work, we introduce a novel type
of coherent energy-transfer mechanism for quantum systems, where phonon
interactions are able to actually enhance the energy transfer. Here, a shared
phonon interacts with the systems and dynamically adjusts their resonances,
providing remarkable directionality combined with quantum speed- up. We call
this mechanism phonon-induced dynamic resonance energy transfer and show that
it enables long-range coherent energy transport even in highly disordered
systems.


title:
Diffraction of an obliquely incident electromagnetic wave by an
  impedance right-angled concave wedge

abstract:
  Scattering of a plane electromagnetic wave by an anisotropic impedance
right-angled concave wedge at skew incidence is analyzed. A closed-form
solution is derived by reducing the problem to a symmetric order-2 vector
Riemann-Hilbert problem (RHP) on the real axis. The problem of matrix
factorization leads to a scalar RHP on a genus-3 Riemann surface. Its solution
is derived by the Weierstrass integrals. Due to a special symmetry of the
problem the associated Jacobi inversion problem is solved in terms of elliptic
integrals, not a genus-3 Riemann \`e-function. The electric and magnetic field
components are expressed through the Sommerfeld integrals, and the incident and
reflected waves are recovered.


title:
Post-Selection Inference for Generalized Linear Models with Many
  Controls

abstract:
  This paper considers generalized linear models in the presence of many
controls. We lay out a general methodology to estimate an effect of interest
based on the construction of an instrument that immunize against model
selection mistakes and apply it to the case of logistic binary choice model.
More specifically we propose new methods for estimating and constructing
confidence regions for a regression parameter of primary interest $\alpha_0$, a
parameter in front of the regressor of interest, such as the treatment variable
or a policy variable. These methods allow to estimate $\alpha_0$ at the
root-$n$ rate when the total number $p$ of other regressors, called controls,
potentially exceed the sample size $n$ using sparsity assumptions. The sparsity
assumption means that there is a subset of $s<n$ controls which suffices to
accurately approximate the nuisance part of the regression function.
Importantly, the estimators and these resulting confidence regions are valid
uniformly over $s$-sparse models satisfying $s^2\log^2 p = o(n)$ and other
technical conditions. These procedures do not rely on traditional consistent
model selection arguments for their validity. In fact, they are robust with
respect to moderate model selection mistakes in variable selection. Under
suitable conditions, the estimators are semi-parametrically efficient in the
sense of attaining the semi-parametric efficiency bounds for the class of
models in this paper.


title: Chemistry of massive young stellar objects with a disk-like structure

abstract:
  Our goal is to take an inventory of complex molecules in three well-known
high-mass protostars for which disks or toroids have been claimed and to study
the similarities and differences with a sample of massive YSOs without evidence
of such flattened disk-like structures. With a disk-like geometry, UV radiation
can escape more readily and potentially affect the ice and gas chemistry on
hot-core scales. A partial submillimeter line survey, targeting CH3OH, H2CO,
C2H5OH, HCOOCH3, CH3OCH3, CH3CN, HNCO, NH2CHO, C2H5CN, CH2CO, HCOOH, CH3CHO,
and CH3CCH, was made toward three massive YSOs with disk-like structures,
IRAS20126+4104, IRAS18089-1732, and G31.41+0.31. Rotation temperatures and
column densities were determined by the rotation diagram method, as well as by
independent spectral modeling. The molecular abundances were compared with
previous observations of massive YSOs without evidence of any disk structure,
targeting the same molecules with the same settings and using the same analysis
method. Consistent with previous studies, different complex organic species
have different characteristic rotation temperatures and can be classified
either as warm (>100 K) or cold (<100 K). The excitation temperatures and
abundance ratios are similar from source to source and no significant
difference can be established between the two source types. Acetone, CH3COCH3,
is detected for the first time in G31.41+0.31 and IRAS18089-1732. Temperatures
and abundances derived from the two analysis methods generally agree within
factors of a few. The lack of chemical differentiation between massive YSOs
with and without observed disks suggest either that the chemical complexity is
already fully established in the ices in the cold prestellar phase or that the
material experiences similar physi- cal conditions and UV exposure through
outflow cavities during the short embedded lifetime.


title:
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate
  groups of elliptic curves

abstract:
  Using maximal isotropic submodules in a quadratic module over Z_p, we prove
the existence of a natural discrete probability distribution on the set of
isomorphism classes of short exact sequences of co-finite type Z_p-modules, and
then conjecture that as E varies over elliptic curves over a fixed global field
k, the distribution of
  0 --> E(k) tensor Q_p/Z_p --> Sel_{p^infty} E --> Sha[p^infty] --> 0 is that
one. We show that this single conjecture would explain many of the known
theorems and conjectures on ranks, Selmer groups, and Shafarevich-Tate groups
of elliptic curves. We also prove the existence of a discrete probability
distribution of the set of isomorphism classes of finite abelian p-groups
equipped with a nondegenerate alternating pairing, defined in terms of the
cokernel of a random alternating matrix over Z_p, and we prove that the two
probability distributions are compatible with each other and with Delaunay's
predicted distribution for Sha. Finally, we prove new theorems on the fppf
cohomology of elliptic curves in order to give further evidence for our
conjecture.


title:
Reaching a Consensus in Networks of High-Order Integral Agents under
  Switching Directed Topology

abstract:
  Consensus problem of high-order integral multi-agent systems under switching
directed topology is considered in this study. Depending on whether the agent's
full state is available or not, two distributed protocols are proposed to
ensure that states of all agents can be convergent to a same stationary value.
In the proposed protocols, the gain vector associated with the agent's
(estimated) state and the gain vector associated with the relative (estimated)
states between agents are designed in a sophisticated way. By this particular
design, the high-order integral multi-agent system can be transformed into a
first-order integral multi-agent system. And the convergence of the transformed
first-order integral agent's state indicates the convergence of the original
high-order integral agent's state if and only if all roots of the polynomial,
whose coefficients are the entries of the gain vector associated with the
relative (estimated) states between agents, are in the open left-half complex
plane. Therefore, many analysis techniques in the first-order integral
multi-agent system can be directly borrowed to solve the problems in the
high-order integral multi-agent system. Due to this property, it is proved that
to reach a consensus, the switching directed topology of multi-agent system is
only required to be "uniformly jointly quasi-strongly connected", which seems
the mildest connectivity condition in the literature. In addition, the
consensus problem of discrete-time high-order integral multi-agent systems is
studied. The corresponding consensus protocol and performance analysis are
presented. Finally, three simulation examples are provided to show the
effectiveness of the proposed approach.


title: X-ray observation of the shocked red supergiant wind of Cassiopeia A

abstract:
  Cas A is a Galactic supernova remnant whose supernova explosion is observed
to be of Type IIb from spectroscopy of its light echo. Having its SN type
known, observational constraints on the mass-loss history of Cas A's progenitor
can provide crucial information on the final fate of massive stars. In this
paper, we study X-ray characteristics of the shocked ambient gas in Cas A using
the 1 Ms observation carried out with the Chandra X-Ray Observatory and try to
constrain the mass-loss history of the progenitor star. We identify thermal
emission from the shocked ambient gas along the outer boundary of the remnant.
Comparison of measured radial variations of spectroscopic parameters of the
shocked ambient gas to the self-similar solutions of Chevalier show that Cas A
is expanding into a circumstellar wind rather than into a uniform medium. We
estimate a wind density nH ~ 0.9 $\pm$ 0.3 cm$^{-3}$ at the current outer
radius of the remnant (~3 pc), which we interpret as a dense slow wind from a
red supergiant (RSG) star. Our results suggest that the progenitor star of Cas
A had an initial mass around 16 Msun, and its mass before the explosion was
about 5 Msun, with uncertainties of several tens of percent. Furthermore, the
results suggest that, among the mass lost from the progenitor star (~11 Msun),
a significant amount (more than 6 Msun) could have been via its RSG wind.


title:
Phase and Amplitude Dynamics in Large Systems of Coupled Oscillators:
  Growth Heterogeneity, Nonlinear Frequency Shifts and Cluster States

abstract:
  This paper addresses the behavior of large systems of heterogeneous, globally
coupled oscillators each of which is described by the generic Landau-Stuart
equation, which incorporates both phase and amplitude dynamics of individual
oscillators. One goal of our paper is to investigate the effect of a spread in
the amplitude growth parameter of the oscillators and of the effect of a
homogeneous nonlinear frequency shift. Both of these effects are of potential
relevance to recently reported experiments. Our second goal is to gain further
understanding of the macroscopic system dynamics at large coupling strength,
and its dependence on the nonlinear frequency shift parameter. It is proven
that at large coupling strength, if the nonlinear frequency shift parameter is
below a certain value, then there is a unique attractor for which the
oscillators all clump at a single amplitude and uniformly rotating phase (we
call this a single-cluster "locked state"). Using a combination of analytical
and numerical methods, we show that at higher values of the nonlinear frequency
shift parameter, the single-cluster locked state attractor continues to exist,
but other types of coexisting attractors emerge. These include two-cluster
locked states, periodic orbits, chaotic orbits, and quasiperiodic orbits.


title:
Evidence of a new narrow resonance decaying to $\chi_{c1}\gamma$ in $B
  \to \chi_{c1} \gamma K$

abstract:
  We report measurements of $B \to \chi_{c1} \gamma K$ and $\chi_{c2} \gamma K$
decays using $772 \times 10^{6}$ $B\bar{B}$ events collected at the
$\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy
$e^+e^-$ collider. Evidence of a new resonance in the $\chi_{c1} \gamma$ final
state is found with a statistical significance of $3.8 \sigma$. This state has
a mass of $3823.1 \pm 1.8 {(stat)} \pm 0.7 {(syst)}$ MeV/$c^2$, a value that is
consistent with theoretical expectations for the previously unseen $1^3 D_2$
$c\bar{c}$ meson. We find no other narrow resonance and set upper limits on the
branching fractions of the $X(3872) \to \chi_{c1} \gamma$ and $\chi_{c2}
\gamma$ decays.


title:
q-Deformed Clifford algebra and level zero fundamental representations
  of quantum affine algebras

abstract:
  We give a realization of the level zero fundamental weight representation
$W(\varpi_k)$ of the quantum affine algebra $U_q'(\mf{g})$, when $\mf{g}$ has a
maximal parabolic subalgebra of type $C_n$. We define a semisimple $U'_q({\mf
g})$-module structure on $\E^{\otimes 2}$ in terms of q-deformed Clifford
generators, where $\E$ is the exterior algebra generated by a dual natural
representation $V$ of $U_q(\mf{sl}_{n})$. We show that each $W(\varpi_k)$
appears as an irreducible summand (not necessarily multiplicity free) in
$\E^{\otimes 2}$. As a byproduct, we obtain a simple description of the affine
crystal structure of $W(\varpi_k)$ in terms of $n\times 2$ binary matrices and
their $(\mf{sl}_n,\mf{sl}_2)$-bicrystal structure.


title:
Joint Interference and User Association Optimization in Cellular
  Wireless Networks

abstract:
  In cellular wireless networks, user association refers to the problem of
assigning mobile users to base station cells -- a critical, but challenging,
problem in many emerging small cell and heterogeneous networks. This paper
considers a general class of utility maximization problems for joint
optimization of mobile user associations and bandwidth and power allocations.
The formulation can incorporate a large class of network topologies,
interference models, SNR-to-rate mappings and network constraints. In addition,
the model can applied in carrier aggregation scenarios where mobiles can be
served by multiple cells simultaneously. While the problem is non-convex, our
main contribution shows that the optimization admits a separable dual
decomposition. This property enables fast computation of upper bounds on the
utility as well as an efficient, distributed implementation for approximate
local optimization via augmented Lagrangian techniques. Simulations are
presented in heterogeneous networks with mixtures of macro and picocells. We
demonstrate significant value of the proposed methods in scenarios with
variable backhaul capacity in the femtocell links and in cases where the user
density is sufficiently low that lightly-used cells can reduce power.


title: Reallocation and Allocation of Virtual Machines in Cloud Computing

abstract:
  Cloud computing has given the new face to the distributed field. Two main
issues are discussed in this paper, (I) the process of finding the efficient
virtual machine by using the concept of load balancing algorithm. (II)
Reallocation of the Virtual Machines i.e. migration of the Virtual Machines
when cloud provider is not available with the required Virtual Machines. We
have discussed about the different load balancing algorithms which are used for
deciding the efficient Virtual Machine for the allocation to the client on
demand. While in the second issue is concern we have discuss about different
modules available for the migration of Virtual Machines from one source machine
to the other target machine. At last discussion about the different simulators
available for the cloud are carried out in this paper.


title:
Solving two-mode squeezed harmonic oscillator and $k$th-order harmonic
  generation in Bargmann-Hilbert spaces

abstract:
  We analyze the two-mode squeezed harmonic oscillator and the $k$th-order
harmonic generation within the framework of Bargmann-Hilbert spaces of entire
functions. For the displaced, single-mode squeezed and two-mode squeezed
harmonic oscillators, we derive the exact, closed-form expressions for their
energies and wave functions. For the $k$th-order harmonic generation with
$k\geq 3$, our result indicates that it does not have eigenfunctions and is
thus ill-defined in the Bargmann-Hilbert space.


title: Scheduling of Dependent Tasks Application using Random Search Technique

abstract:
  Since beginning of Grid computing, scheduling of dependent tasks application
has attracted attention of researchers due to NP-Complete nature of the
problem. In Grid environment, scheduling is deciding about assignment of tasks
to available resources. Scheduling in Grid is challenging when the tasks have
dependencies and resources are heterogeneous. The main objective in scheduling
of dependent tasks is minimizing make-span. Due to NP-complete nature of
scheduling problem, exact solutions cannot generate schedule efficiently.
Therefore, researchers apply heuristic or random search techniques to get
optimal or near to optimal solution of such problems. In this paper, we show
how Genetic Algorithm can be used to solve dependent task scheduling problem.
We describe how initial population can be generated using random assignment and
height based approaches. We also present design of crossover and mutation
operators to enable scheduling of dependent tasks application without violating
dependency constraints. For implementation of GA based scheduling, we explore
and analyze SimGrid and GridSim simulation toolkits. From results, we found
that SimGrid is suitable, as it has support of SimDag API for DAG applications.
We found that GA based approach can generate schedule for dependent tasks
application in reasonable time while trying to minimize make-span.


title:
Accuracy assessment of the UT1 prediction method based on 100-year
  series analysis

abstract:
  A new method has been developed at the Siberian Research Institute of
Metrology (SNIIM) for highly accurate prediction of UT1 and Pole coordinates.
The method is based on construction of a general polyharmonic model of the
variations of the Earth rotation parameters using all the data available for
the last 80-100 years, and modified autoregression technique. In this
presentation, a detailed comparison was made of real-time UT1 predictions
computed making use of this method in 2006-2010 with simultaneous predictions
computed at the International Earth Rotation and Reference Systems Service
(IERS). Obtained results have shown that proposed method provides better
accuracy at different prediction lengths.


title:
On the solvability of the quantum Rabi model and its 2-photon and
  two-mode generalizations

abstract:
  We study the solvability of the time-independent matrix Schr\"odinger
differential equations of the quantum Rabi model and its 2-photon and two-mode
generalizations in Bargmann Hilbert spaces of entire functions. We show that
the Rabi model and its 2-photon and two-mode analogs are quasi-exactly
solvable. We derive the exact, closed-form expressions for the energies and the
allowed model parameters for all the three cases in the solvable subspaces. Up
to a normalization factor, the eigenfunctions for these models are given by
polynomials whose roots are determined by systems of algebraic equations.


title: Forthcoming mutual events of planets and astrometric radio sources

abstract:
  Radio astronomy observations of close approaches of the Solar system planets
to compact radio sources as well as radio source occultations by planets may be
of large interest for planetary sciences, dynamical astronomy, and testing
gravity theories. In this paper, we present extended lists of occultations of
astrometric radio sources observed in the framework of various astrometric and
geodetic VLBI programs by planets, and close approaches of planets to radio
sources expected in the nearest years. Computations are made making use of the
EPOS software package.


title:
Measurement sensitivity and resolution for background oriented schlieren
  during image recording

abstract:
  Background oriented schlieren (BOS) visualization technique is examined by
means of optical geometry. Two most important results are the calculation of
the sensitivity and spatial resolution of a BOS system, which allows for the
determination of the experiment design space. A set of relations that
characterize the performance of a BOS measurement is given, with emphasis on
the design of background pattern and spatial placement of optical components.


title: Analysis of Polar Motion Variations from 170-year Observation Series

abstract:
  This work is devoted to investigation of low frequency variations in Polar
motion (PM). It has been shown that the main PM features can be effectively
investigated using not only time series of the Pole coordinates, but also using
series of latitude variations obtained from observations at one observatory.
Such an approach allows us to increase the length of observation series
available for analysis. In our study, we extended the IERS PM series back to
1840. We investigate trends and (quasi) harmonic oscilla-tions with periods
from one year to decades. The main results were obtained making use of the
Singular Spectrum Analysis. Other methods were also used for specific analysis
and independent check. The most interesting results are detection of two new
large phase jumps in the 1840s and 2000s, and revealing of 80-year period in
the PM variations.


title: Infinite CW-complexes, Brauer groups and phantom cohomology

abstract:
  Expanding a result of Serre on finite CW-complexes, we show that the Brauer
group coincides with the cohomological Brauer group for arbitrary compact
spaces. Using results from the homotopy theory of classifying spaces for Lie
groups, we give another proof of the result of Antieau and Williams that
equality does not hold for Eilenberg--MacLane spaces of type K(Z/nZ,2).
Employing a result of Dwyer and Zabrodsky, we show the same for the classifying
spaces BG where G is an infinite-dimensional F_p-vector space. In this context,
we also give a formula expressing phantom cohomology in terms of homology.


title: Unconfined Aquifer Flow Theory - from Dupuit to present

abstract:
  Analytic and semi-analytic solution are often used by researchers and
practicioners to estimate aquifer parameters from unconfined aquifer pumping
tests. The non-linearities associated with unconfined (i.e., water table)
aquifer tests makes their analysis more complex than confined tests. Although
analytical solutions for unconfined flow began in the mid-1800s with Dupuit,
Thiem was possibly the first to use them to estimate aquifer parameters from
pumping tests in the early 1900s. In the 1950s, Boulton developed the first
transient well test solution specialized to unconfined flow. By the 1970s
Neuman had developed solutions considering both primary transient storage
mechanisms (confined storage and delayed yield) without non-physical fitting
parameters. In the last decade, research into developing unconfined aquifer
test solutions has mostly focused on explicitly coupling the aquifer with the
linearized vadose zone. Despite the many advanced solution methods available,
there still exists a need for realism to accurately simulate real-world aquifer
tests.


title: Vibrational Resonance in the Morse Oscillator

abstract:
  We investigate the occurrence of vibrational resonance in both classical and
quantum mechanical Morse oscillators driven by a biharmonic force. The
biharmonic force consists of two forces of widely different frequencies \omega
and \Omega with \Omega>>\omega. In the damped and biharmonically driven
classical Morse oscillator applying a theoretical approach we obtain an
analytical expression for the response amplitude at the low-frequency \omega.
We identify the conditions on the parameters for the occurrence of the
resonance. The system shows only one resonance and moreover at resonance the
response amplitude is 1/(d\omega) where d is the coefficient of linear damping.
When the amplitude of the high-frequency force is varied after resonance the
response amplitude does not decay to zero but approaches a nonzero limiting
value. We have observed that vibrational resonance occurs when the sinusoidal
force is replaced by a square-wave force. We also report the occurrence of
resonance and anti-resonance of transition probability of quantum mechanical
Morse oscillator in the presence of the biharmonic external field.


title:
A statistical classification of the unassociated gamma-ray sources in
  the second Fermi Large Area Telescope Catalog

abstract:
  With assistance of the identified/associated sources in the second Fermi
Large Area Telescope (LAT) catalog, we analyze and resolve the spatial
distribution and the distributions of the gamma-ray spectral and variability
indices of the remaining 575 unassociated Fermi LAT sources. Consequently, it
is suggested that the unassociated sources could statistically consist of
Galactic supernova remnants/pulsar wind nebulae, BL Lacertae objects, flat
spectrum radio quasars, and other types of active galaxies with fractions of
25%, 29%, 41%, and 5%, respectively.


title:
Non-standard scaling law of fluctuations in finite-size systems of
  globally coupled oscillators

abstract:
  Universal scaling laws form one of the central issues in physics. A
non-standard scaling law or a breakdown of a standard scaling law, on the other
hand, can often lead to the finding of a new universality class in physical
systems. Recently, we found that a statistical quantity related to fluctuations
follows a non-standard scaling law with respect to system size in a
synchronized state of globally coupled non-identical phase oscillators
[Nishikawa et al., Chaos $\boldsymbol{22}$, 013133 (2012)]. However, it is
still unclear how widely this non-standard scaling law is observed. In the
present paper, we discuss the conditions required for the unusual scaling law
in globally coupled oscillator systems, and we validate the conditions by
numerical simulations of several different models.


title: An Eigenvalue Problem for a Fermi System and Lie Algebras

abstract:
  We study a Fermi Hamilton operator $\hat K$ which does not commute with the
number operator $\hat N$. The eigenvalue problem and the Schr\"odinger equation
is solved. Entanglement is also discussed. Furthermore the Lie algebra
generated by the two terms of the Hamilton operator is derived and the Lie
algebra generated by the Hamilton operator and the number operator is also
classified.


title: GPU Acclerated Automated Feature Extraction from Satellite Images

abstract:
  The availability of large volumes of remote sensing data insists on higher
degree of automation in feature extraction, making it a need of the hour.The
huge quantum of data that needs to be processed entails accelerated processing
to be enabled.GPUs, which were originally designed to provide efficient
visualization, are being massively employed for computation intensive parallel
processing environments. Image processing in general and hence automated
feature extraction, is highly computation intensive, where performance
improvements have a direct impact on societal needs. In this context, an
algorithm has been formulated for automated feature extraction from a
panchromatic or multispectral image based on image processing techniques. Two
Laplacian of Guassian (LoG) masks were applied on the image individually
followed by detection of zero crossing points and extracting the pixels based
on their standard deviation with the surrounding pixels. The two extracted
images with different LoG masks were combined together which resulted in an
image with the extracted features and edges. Finally the user is at liberty to
apply the image smoothing step depending on the noise content in the extracted
image. The image is passed through a hybrid median filter to remove the salt
and pepper noise from the image. This paper discusses the aforesaid algorithm
for automated feature extraction, necessity of deployment of GPUs for the same;
system-level challenges and quantifies the benefits of integrating GPUs in such
environment. The results demonstrate that substantial enhancement in
performance margin can be achieved with the best utilization of GPU resources
and an efficient parallelization strategy. Performance results in comparison
with the conventional computing scenario have provided a speedup of 20x, on
realization of this parallelizing strategy.


title:
A Study of Submanifolds of the Complex Grassmannian Manifold with
  Parallel Second Fundamental Form

abstract:
  We prove an extension of a theorem of A.Ros on a characterization of seven
compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of
the complex Grassmannian manifolds.


title: Worst-case User Analysis in Poisson Voronoi Cells

abstract:
  In this letter, we focus on the performance of a worst-case mobile user (MU)
in the downlink cellular network. We derive the coverage probability and the
spectral efficiency of the worst-case MU using stochastic geometry. Through
analytical and numerical results, we draw out interesting insights that the
coverage probability and the spectral efficiency of the worst-case MU decrease
down to 23% and 19% of those of a typical MU, respectively. By applying a
coordinated scheduling (CS) scheme, we also investigate how much the
performance of the worst-case MU is improved.


title: Blocks of the truncated $q$-Schur algebras of type A

abstract:
  This paper classifies the blocks of the truncated $q$-Schur algebras of type
$A$ which have as weight poset an arbitrary cosaturated set of partitions.


title:
Cyber-Physical Security: A Game Theory Model of Humans Interacting over
  Control Systems

abstract:
  Recent years have seen increased interest in the design and deployment of
smart grid devices and control algorithms. Each of these smart communicating
devices represents a potential access point for an intruder spurring research
into intruder prevention and detection. However, no security measures are
complete, and intruding attackers will compromise smart grid devices leading to
the attacker and the system operator interacting via the grid and its control
systems. The outcome of these machine-mediated human-human interactions will
depend on the design of the physical and control systems mediating the
interactions. If these outcomes can be predicted via simulation, they can be
used as a tool for designing attack-resilient grids and control systems.
However, accurate predictions require good models of not just the physical and
control systems, but also of the human decision making. In this manuscript, we
present an approach to develop such tools, i.e. models of the decisions of the
cyber-physical intruder who is attacking the systems and the system operator
who is defending it, and demonstrate its usefulness for design.


title: A Survey of Quantum Lyapunov Control Methods

abstract:
  The condition of a quantum Lyapunov-based control which can be well used in a
closed quantum system is that the method can make the system convergent but not
just stable. In the convergence study of the quantum Lyapunov control, two
situations are classified: non-degenerate cases and degenerate cases. In this
paper, for these two situations, respectively, the target state is divided into
four categories: eigenstate, the mixed state which commutes with the internal
Hamiltonian, the superposition state, and the mixed state which does not
commute with the internal Hamiltonian state. For these four categories, the
quantum Lyapunov control methods for the closed quantum systems are summarized
and analyzed. Especially, the convergence of the control system to the
different target states is reviewed, and how to make the convergence conditions
be satisfied is summarized and analyzed.


title:
Computationally Efficient Robust Beamforming for SINR Balancing in
  Multicell Downlink

abstract:
  We address the problem of downlink beamformer design for
signal-to-interference-plus-noise ratio (SINR) balancing in a multiuser
multicell environment with imperfectly estimated channels at base stations
(BSs). We first present a semidefinite program (SDP) based approximate solution
to the problem. Then, as our main contribution, by exploiting some properties
of the robust counterpart of the optimization problem, we arrive at a
second-order cone program (SOCP) based approximation of the balancing problem.
The advantages of the proposed SOCP-based design are twofold. First, it greatly
reduces the computational complexity compared to the SDP-based method. Second,
it applies to a wide range of uncertainty models. As a case study, we
investigate the performance of proposed formulations when the base station is
equipped with a massive antenna array. Numerical experiments are carried out to
confirm that the proposed robust designs achieve favorable results in scenarios
of practical interest.


title: Off-policy Learning with Eligibility Traces: A Survey

abstract:
  In the framework of Markov Decision Processes, off-policy learning, that is
the problem of learning a linear approximation of the value function of some
fixed policy from one trajectory possibly generated by some other policy. We
briefly review on-policy learning algorithms of the literature (gradient-based
and least-squares-based), adopting a unified algorithmic view. Then, we
highlight a systematic approach for adapting them to off-policy learning with
eligibility traces. This leads to some known algorithms - off-policy
LSTD(\lambda), LSPE(\lambda), TD(\lambda), TDC/GQ(\lambda) - and suggests new
extensions - off-policy FPKF(\lambda), BRM(\lambda), gBRM(\lambda),
GTD2(\lambda). We describe a comprehensive algorithmic derivation of all
algorithms in a recursive and memory-efficent form, discuss their known
convergence properties and illustrate their relative empirical behavior on
Garnet problems. Our experiments suggest that the most standard algorithms on
and off-policy LSTD(\lambda)/LSPE(\lambda) - and TD(\lambda) if the feature
space dimension is too large for a least-squares approach - perform the best.


title:
Branches of non-symmetric critical points and symmetry breaking in
  nonlinear elliptic partial differential equations

abstract:
  In this paper we study the bifurcation of branches of non-symmetric solutions
from the symmetric branch of solutions to the Euler-Lagrange equations
satisfied by optimal functions in functional inequalities of
Caffarelli-Kohn-Nirenberg type. We establish the asymptotic behavior of the
branches for large values of the bifurcation parameter. We also perform an
expansion in a neighborhood of the first bifurcation point on the branch of
symmetric solutions, that characterizes the local behavior of the non-symmetric
branch. These results are compatible with earlier numerical and theoretical
observations. Further numerical results allow us to distinguish two global
scenarios. This sheds a new light on the symmetry breaking phenomenon.


title: Low-scale seesaw and dark matter

abstract:
  We discuss how two birds---the little hierarchy problem of low-scale type-I
seesaw models and the search for a viable dark matter candidate---are
(proverbially) killed by one stone: a new inert scalar state


title: Reputation Algebra for Cloud-based Anonymous Data Storage Systems

abstract:
  Given a cloud-based anonymous data storage system, there are two ways for
managing the nodes involved in file transfers. One of them is using reputations
and the other uses a micropayment system. In reputation-based approach, each
node has a reputation associated with it, which is used as a currency or
feedback collection for file exchange operations. There have been several
attempts over the years to develop a strong and efficient reputation system
that provides credibility, fairness, and accountability. One such attempt was
the Free Haven Project that provides a strong foundation for cloud-based
anonymous data storage systems. The work proposed in this paper is motivated by
the Free Haven Project aimed at developing a reputation system that facilitates
dynamic operations such as adding servers, removing servers and changing role
of authorities. The proposed system also provides algorithm for scoring and
maintaining reputations of the servers in order to achieve credibility,
accountability and fairness.


title:
Iterative Detection with Soft Decision in Spectrally Efficient FDM
  Systems

abstract:
  In Spectrally Efficient Frequency Division Multiplexing systems the input
data stream is divided into several adjacent subchannels where the distance of
the subchannels is less than that of Orthogonal Frequency Division
Multiplexing(OFDM)systems. Since the subcarriers are not orthogonal in SEFDM
systems, they lead to interference at the receiver side. In this paper, an
iterative method is proposed for interference compensation for SEFDM systems.
In this method a soft mapping technique is used after each iteration block to
improve its performance. The performance of the proposed method is comparable
to that of Sphere Detection(SD)which is a nearly optimal detection method.


title: Observational evidences of the Yukawa Potential Interacting Dark Matter

abstract:
  Recent observations in galaxies and clusters indicate dark matter density
profiles exhibit core-like structures which contradict to the numerical
simulation results of collisionless cold dark matter. On the other hand, it has
been shown that cold dark matter particles interacting through a Yukawa
potential could naturally explain the cores in dwarf galaxies. In this article,
I use the Yukawa Potential interacting dark matter model to derive two simple
scaling relations on the galactic and cluster scales respectively, which give
excellent agreements with observations. Also, in our model, the masses of the
force carrier and dark matter particle can be constrained by the observational
data.


title: Bodies with mirror surface invisible from two points

abstract:
  Here we are concerned with a special issue of billiard invisibility, where a
bounded set with a piecewise smooth boundary in Euclidean space is identified
with a body with mirror surface, and the billiard in the complement of the set
is identified with the dynamics of light rays outside the body in the framework
of geometric optics. We show that in this setting it is possible to construct a
body invisible from two points.


title:
Salmonella chemoreceptors McpB and McpC mediate a repellent response to
  L-cystine: a potential mechanism to avoid oxidative conditions

abstract:
  Chemoreceptors McpB and McpC in Salmonella enterica have been reported to
promote chemotaxis in LB motility-plate assays. Of the chemicals tested as
potential effectors of these receptors, the only response was towards
L-cysteine and its oxidized form, L-cystine. Although enhanced radial migration
in plates suggested positive chemotaxis to both amino acids, capillary assays
failed to show an attractant response to either, in cells expressing only these
two chemoreceptors. In vivo fluorescence resonance energy transfer (FRET)
measurements of kinase activity revealed that in wild-type bacteria, cysteine
and cystine are chemoeffectors of opposing sign, the reduced form being a
chemoattractant and the oxidized form a repellent. The attractant response to
cysteine was mediated primarily by Tsr, as reported earlier for E. coli. The
repellent response to cystine was mediated by McpB / C. Adaptive recovery upon
cystine exposure required the methyl-transferase/-esterase pair, CheR / CheB,
but restoration of kinase activity was never complete (i.e. imperfect
adaptation). We provide a plausible explanation for the attractant-like
responses to both cystine and cysteine motility plates, and speculate that the
opposing signs of response to this redox pair might afford Salmonella a
mechanism to gauge and avoid oxidative environments.


title: Compressed Baryonic Matter of Astrophysics

abstract:
  Baryonic matter in the core of a massive and evolved star is compressed
significantly to form a supra-nuclear object, and compressed baryonic matter
(CBM) is then produced after supernova. The state of cold matter at a few
nuclear density is pedagogically reviewed, with significant attention paid to a
possible quark-cluster state conjectured from an astrophysical point of view.


title:
Low energy collective modes of deformed superfluid nuclei within the
  finite amplitude method

abstract:
  Background: The major challenge for nuclear theory is to describe and predict
global properties and collective modes of atomic nuclei. Of particular interest
is the response of the nucleus to a time-dependent external field that impacts
the low-energy multipole and beta-decay strength.
  Purpose: We propose a method to compute low-lying collective modes in
deformed nuclei within the finite amplitude method (FAM) based on the
quasiparticle random-phase approximation (QRPA). By using the analytic property
of the response function, we find the QRPA amplitudes by computing the residua
of the FAM amplitudes by means of a contour integration around the QRPA poles
in a complex frequency plane.
  Methods: We use the superfluid nuclear density functional theory with Skyrme
energy density functionals, FAM-QRPA approach, and the conventional matrix
formulation of the QRPA (MQRPA).
  Results: We demonstrate that the complex-energy FAM-QRPA method reproduces
low-lying collective states obtained within the conventional matrix formulation
of the QRPA theory. Illustrative calculations are performed for the isoscalar
monopole strength in deformed 24Mg and for low-lying K = 0 quadrupole
vibrational modes of deformed Yb and Er isotopes.
  Conclusions: The proposed FAM-QRPA approach allows one to efficiently
calculate low-lying collective modes in spherical and deformed nuclei
throughout the entire nuclear landscape, including shape-vibrational
excitations, pairing vibrational modes, and beta-decay rates.


title: Atomistic theory of the shear band direction in amorphous solids

abstract:
  One of the major theoretical riddles in shear banding instabilities is the
angle that the shear band chooses spontaneously with respect to the principal
stress axis. Here we employ our recent atomistic theory to compute analytically
the angle in terms of the characteristics of the Eshelby inclusion that models
faithfully the eigenfunction of the Hessian matrix that goes soft at the
plastic instability. We show that loading protocols that do not conserve volume
result in shear bands at angles different from 45$^o$ to the strain axis; only
when the external strains preserve volume like in pure shear, the shear bands
align precisely at 45$^o$ to the strain axis. We compute an analytic formula
for the angle of the shear band in terms of the characteristics of the loading
protocol; quantitative agreement with computer simulations is demonstrated.


title:
Collisions, magnetization, and transport coefficients in the lower solar
  atmosphere

abstract:
  The lower solar atmosphere is an intrinsically multi-component and
collisional environment with electron and proton collision frequencies in the
range $10^{8}-10^{10}$ Hz, which may be considerably higher than the
gyro-frequencies for both species. We aim to provide a reliable quantitative
set of data for collision frequencies, magnetization, viscosity, and thermal
conductivity for the most important species in the lower solar atmosphere.
Having such data at hand is essential for any modeling that is aimed at
describing realistic properties of the considered environment.
  We describe the altitude dependence of the parameters and the different
physics of collisions between charged species, and between charged and neutrals
species. Regions of dominance of each type of collisions are clearly
identified. We determine the layers within which either electrons or ions or
both are unmagnetized. Protons are shown to be un-magnetized in the lower
atmosphere in a layer that is at least 1000 km thick even for a kilo-Gauss
magnetic field that decreases exponentially with altitude. In these layers the
dynamics of charged species cannot be affected by the magnetic field, and this
fact is used in our modeling. Viscosity and thermal conductivity coefficients
are calculated for layers where ions are unmagnetized. We compare viscosity and
friction and determine the regions of dominance of each of the phenomena.
  We provide the most reliable quantitative values for most important
parameters in the lower solar atmosphere to be used in analytical modeling and
numerical simulations of various phenomena such as waves, transport and
magnetization of particles, and the triggering mechanism of coronal mass
ejections.


title: Highly transitive actions of groups acting on trees

abstract:
  We show that a group acting on a non-trivial tree with finite edge
stabilizers and icc vertex stabilizers admits a faithful and highly transitive
action on an infinite countable set. This result is actually true for infinite
vertex stabilizers and some more general, finite of infinite, edge stabilizers
that we call highly core-free. We study the notion of highly core-free
subgroups and give some examples. In the case of amalgamated free products over
highly core-free subgroups and HNN extensions with highly core-free base groups
we obtain a genericity result for faithful and highly transitive actions. In
particular, we recover the result of D. Kitroser stating that the fundamental
group of a closed, orientable surface of genus g>1 admits a faithful and highly
transitive action.


title: Eulerian series as modular forms revisited

abstract:
  Recently, Bringmann, Ono, and Rhoades employed harmonic weak Maass forms to
prove results on Eulerian series as modular forms. By changing the setting to
Appell--Lerch sums, we shorten the proof of one of their main theorems. In
addition we discuss connections to recent work of Kang.


title: Minimal models for K\"ahler threefolds

abstract:
  Let X be a compact K\"ahler threefold that is not uniruled. We prove that X
has a minimal model.


title:
Detection of carbon monoxide in the high-resolution day-side spectrum of
  the exoplanet HD 189733b

abstract:
  [Abridged] After many attempts over more than a decade, high-resolution
spectroscopy has recently delivered its first detections of molecular
absorption in exoplanet atmospheres, both in transmission and thermal emission
spectra. Targeting the combined signal from individual lines in molecular
bands, these measurements use variations in the planet radial velocity to
disentangle the planet signal from telluric and stellar contaminants. In this
paper we apply high resolution spectroscopy to probe molecular absorption in
the day-side spectrum of the bright transiting hot Jupiter HD 189733b. We
observed HD 189733b with the CRIRES high-resolution near-infrared spectograph
on the Very Large Telescope during three nights. We detect a 5-sigma absorption
signal from CO at a contrast level of ~4.5e-4 with respect to the stellar
continuum, revealing the planet orbital radial velocity at 154+4/-3 km s-1.
This allows us to solve for the planet and stellar mass in a similar way as for
stellar eclipsing binaries, resulting in Ms= 0.846+0.068/-0.049 Msun and Mp=
1.162+0.058/-0.039 MJup. No significant absorption is detected from H2O, CO2 or
CH4 and we determined upper limits on their line contrasts here. The detection
of CO in the day-side spectrum of HD 189733b can be made consistent with the
haze layer proposed to explain the optical to near-infrared transmission
spectrum if the layer is optically thin at the normal incidence angles probed
by our observations, or if the CO abundance is high enough for the CO
absorption to originate from above the haze. Our non-detection of CO2 at 2.0
micron is not inconsistent with the deep CO2 absorption from low resolution
NICMOS secondary eclipse data in the same wavelength range. If genuine, the
absorption would be so strong that it blanks out any planet light completely in
this wavelength range, leaving no high-resolution signal to be measured.


title:
Uniting Control for Finite Time Stabilization of Nonlinear Detectable
  Systems

abstract:
  The stabilization of nonlinear systems under zero-state-detectability
assumption or its analogues is considered. The proposed supervisory control
provides a finite time practical stabilization of output and it is based on
uniting local and global controllers. The global control ensures boundedness of
solutions and output convergence to zero, while local one ensures finite time
convergence to a predefined set into the zero dynamics set. Computer simulation
illustrates advantages of the proposed algorithm.


title: Robust quantum control by shaped pulse

abstract:
  Considering the problem of the control of a two-state quantum system by an
external field, we establish a general and versatile method that allows the
derivation of smooth pulses, suitable for ultrafast applications, that feature
the properties of high-fidelity, robustness, and low area. Such shaped pulses
can be viewed as a single-shot generalization of the composite pulse technique
with a time-dependent phase.


title:
Momentum relation and classical limit in the future-not-included complex
  action theory

abstract:
  Studying the time development of the expectation value in the
future-not-included complex action theory, we point out that the momentum
relation (the relation analogous to $p=\frac{\partial L}{\partial \dot{q}}$),
which was derived via the Feynman path integral and was shown to be correct in
the future-included theory in our previous papers, is not valid in the
future-not-included theory. We provide the correct momentum relation in the
future-not-included theory, and argue that the future-not-included classical
theory is described by a certain real action. In addition, we provide another
way to understand the time development of the future-not-included theory by
utilizing the future-included theory. Furthermore, properly applying the method
used in our previous paper to the future-not-included theory by introducing a
formal Lagrangian, we derive the correct momentum relation in the
future-not-included theory.


title:
Vector valued multivariate spectral multipliers, Littlewood-Paley
  functions, and Sobolev spaces in hte Hermite setting

abstract:
  In this paper we find new equivalent norms in $L^p(\mathbb{R}^n,\mathbb{B})$
by using multivariate Littlewood-Paley functions associated with Poisson
semigroup for the Hermite operator, provided that $\mathbb{B}$ is a UMD Banach
space with the property ($\alpha$). We make use of $\gamma$-radonifying
operators to get new equivalent norms that allow us to obtain
$L^p(\mathbb{R}^n,\mathbb{B})$-boundedness properties for (vector valued)
multivariate spectral multipliers for Hermite operators. As application of this
Hermite multiplier theorem we prove that the Banach valued Hermite Sobolev and
potential spaces coincide.


title: Boscovich and the Brera Observatory

abstract:
  In the mid 18th century both theoretical and practical astronomy were
cultivated in Milan by Barnabites and Jesuits. In 1763 R.G. Boscovich was
appointed to the chair of mathematics of the University of Pavia in the Duchy
of Milan, and the following year he designed an observatory for the Jesuit
Collegium of Brera. The Specola was built in 1765 and it became quickly one of
the main European observatories. We discuss the relation between Boscovich and
Brera in the framework of a short biography. An account is given of the initial
research activity in the Specola, of the departure of Boscovich from Milan in
1773 and his coming back just before his death.


title:
Supplementary material for: Adaptive Observers and Parameter Estimation
  for a Class of Systems Nonlinear in the Parameters

abstract:
  This supplement illustrates application of adaptive observer design from
(Tyukin et al, 2013) for systems which are not uniquely identifiable. It also
provides an example of adaptive observer design for a magnetic bearings
benchmark system (Lin, Knospe, 2000).


title: Noisy nonlinear dynamics of vesicles in flow

abstract:
  We present a model for the dynamics of fluid vesicles in linear flow which
consistently includes thermal fluctuations and nonlinear coupling between
different modes. At the transition between tank-treading and tumbling, we
predict a trembling motion which is at odds with the known deterministic
motions and for which thermal noise is strongly amplified. In particular,
highly asymmetric shapes are observed even though the deterministic flow only
allows for axisymmetric ones. Our results explain quantitatively recent
experimental observations [Levant and Steinberg, Phys. Rev. Lett. 109, 268103
(2012)].


title: Dynamic polarizabilities for the low lying states of Ca+

abstract:
  The dynamic polarizabilities of the 4s, 3d and 4p states of Ca$^+$, are
calculated using a relativistic structure model. The wavelengths at which the
Stark shifts between different pairs of transitions are zero are computed.
Experimental determination of the magic wavelengths can be used to estimate the
ratio of the $f_{3d_{J}\to 4p_{J'}}$ and $f_{4s_{1/2} \to 4p_{J'}}$ oscillator
strengths. This could prove valuable in developing better atomic structure
models and in particular lead to improved values of the polarizabilities needed
in the evaluation of the blackbody radiation shift of the Ca$^+$ ion.


title:
Discovery of high and very high-energy emission from the BL Lac object
  SHBL J001355.9-185406

abstract:
  The detection of the high-frequency peaked BL Lac object (HBL) SHBL
J001355.9-185406 ($z$=0.095) at high (HE; 100 MeV$<$E$<$300 GeV) and very
high-energy (VHE; $E>100\,{\rm GeV}$) with the \fer\ Large Area Telescope (LAT)
and the High Energy Stereoscopic System (H.E.S.S.) is reported. Dedicated
observations have been performed with the H.E.S.S. telescopes, leading to a
detection at the $5.5\,\sigma$ significance level. The measured flux above 310
GeV is $(8.3 \pm 1.7_{\rm{stat}}\pm 1.7_{\rm{sys}})\times 10^{-13}$ photons
\cms\ (about 0.6% of that of the Crab Nebula), and the power law spectrum has a
photon index of \indexHESS. Using 3.5 years of publicly available \fla\ data, a
faint counterpart has been detected in the LAT data at the $5.5\,\sigma$
significance level, with an integrated flux above 300 MeV of $(9.3 \pm 3.4_{\rm
stat} \pm 0.8_{\rm sys})\times 10^{-10}$ photons \cms\ and a photon index of
$\Gamma = 1.96 \pm 0.20_{\rm stat} \pm 0.08_{\rm sys}$. X-ray observations with
\textit{Swift}-XRT allow the synchrotron peak energy in $\nu F_\nu$
representation to be located at $\sim 1.0\,{\rm keV}$. The broadband spectral
energy distribution is modelled with a one-zone synchrotron self-Compton (SSC)
model and the optical data by a black-body emission describing the thermal
emission of the host galaxy. The derived parameters are typical for HBLs
detected at VHE, with a particle dominated jet.


title:
Constructing Quantum Mechanics from a Clifford substructure of the
  relativistic point particle

abstract:
  We show that the quantized free relativistic point particle can be understood
as a string in a Clifford space which generates the space-time coordinates
through its inner product. The generating algebra is preserved by a unitary
symmetry which becomes the symmetry of the quantum states. We start by
resolving the space-time canonical variables of the point particle into inner
products of Weyl spinors with components in a Clifford algebra. Next, we show
that a system of N particles has a U(N) symmetry that mixes the Clifford
coordinates and momenta belonging to different particles. The inner products of
these variables are assembled into Hermitian matrices X and P which are
employed in defining a general unitarily invariant dynamical system. When X and
P commute, this system can be gauged back into the original system of
independent particles. When they do not commute, the system becomes irreducible
and infinite and generates a space-time canonical system formally identical to
Matrix Mechanics. The continuum limit is identified as a particular
parametrization of a relativistic string in Clifford space.


title: The syncytial Drosophila embryo as a mechanically excitable medium

abstract:
  Mitosis in the early syncytial Drosophila embryo is highly correlated in
space and time, as manifested in mitotic wavefronts that propagate across the
embryo. In this paper we investigate the idea that the embryo can be considered
a mechanically-excitable medium, and that mitotic wavefronts can be understood
as nonlinear wavefronts that propagate through this medium. We study the
wavefronts via both image analysis of confocal microscopy videos and
theoretical models. We find that the mitotic waves travel across the embryo at
a well-defined speed that decreases with replication cycle. We find two markers
of the wavefront in each cycle, corresponding to the onsets of metaphase and
anaphase. Each of these onsets is followed by displacements of the nuclei that
obey the same wavefront pattern. To understand the mitotic wavefronts
theoretically we analyze wavefront propagation in excitable media. We study two
classes of models, one with biochemical signaling and one with mechanical
signaling. We find that the dependence of wavefront speed on cycle number is
most naturally explained by mechanical signaling, and that the entire process
suggests a scenario in which biochemical and mechanical signaling are coupled.


title:
Visibility recovery by strong interaction in an electronic Mach-Zehnder
  interferometer

abstract:
  We study the evolution of a single-electron packet of Lorentzian shape along
an edge of the integer quantum Hall regime or in a Mach-Zehnder interferometer,
considering a capacitive Coulomb interaction and using a bosonization approach.
When the packet propagates along a chiral quantum Hall edge, we find that its
electron density profile becomes more distorted from Lorentzian due to the
generation of electron-hole excitations, as the interaction strength increases
yet stays in a weak interaction regime. However, as the interaction strength
becomes larger and enters a strong interaction regime, the distortion becomes
weaker and eventually the Lorentzian packet shape is recovered. The recovery of
the packet shape leads to an interesting feature of the interference visibility
of the symmetric Mach-Zehnder interferometer whose two arms have the same
interaction strength. As the interaction strength increases, the visibility
decreases from the maximum value in the weak interaction regime, and then
increases to the maximum value in the strong interaction regime. We argue that
this counterintuitive result also occurs under other types of interactions.


title: Search for Alfv\'en waves in a bright network element observed in Halpha

abstract:
  Alfven waves are considered as potential transporters of energy heating the
solar corona. We seek spectroscopic signatures of the Alfven waves in the
chromosphere occupied by a bright network element, investigating temporal
variations of the spectral width, intensity, Dopplershift, and the asymmetry of
the core of the Halpha spectral line observed by the tunable Lyot filter
installed on the Dutch Open Telescope. The spectral characteristics are derived
through the fitting of five intensity samples, separated from each other by
0.35 A, by a 4th-order polynomial. The bright network element displays the most
pronounced variations of the Dopplershift varying from 0 to 4 km/s about the
average of 1.5 km/s. This fact implies a persistent redshift of the Halpha core
with a redward asymmetry of about 0.5 km/s, suggesting an inverse-C bisector.
The variations of the core intensity up to +-10% and the core width up to +-5%
about the respective averages are much less pronounced, but still detectable.
The core intensity variations lag behind the Dopplershift variations about 2.1
min. The Halpha core width tends to correlate with the Dopplershift and
anticorrelate with the asymmetry, suggesting that more redshifted Halpha
profiles are wider and the broadening of the Halpha core is accompanied with a
change of the core asymmetry from redward to blueward. We also found a striking
anticorrelation between the core asymmetry and the Dopplershift, suggesting a
change of the core asymmetry from redward to blueward with an increasing
redshift of the Halpha core. The data and the applied analysis do not show
meaningful tracks of Alfven waves in the selected network element.


title: A Fuzzy Logic Based Certain Trust Model for E-Commerce

abstract:
  Trustworthiness especially for service oriented system is very important
topic now a day in IT field of the whole world. There are many successful
E-commerce organizations presently run in the whole world, but E-commerce has
not reached its full potential. The main reason behind this is lack of Trust of
people in e-commerce. Again, proper models are still absent for calculating
trust of different e-commerce organizations. Most of the present trust models
are subjective and have failed to account vagueness and ambiguity of different
domain. In this paper we have proposed a new fuzzy logic based Certain Trust
model which considers these ambiguity and vagueness of different domain. Fuzzy
Based Certain Trust Model depends on some certain values given by experts and
developers. can be applied in a system like cloud computing, internet, website,
e-commerce, etc. to ensure trustworthiness of these platforms. In this paper we
show, although fuzzy works with uncertainties, proposed model works with some
certain values. Some experimental results and validation of the model with
linguistics terms are shown at the last part of the paper.


title: Baryon photo-decay amplitudes at the pole

abstract:
  We derive relations for baryon photo-decay amplitudes both for the
Breit-Wigner and the pole positions. With an updated SAID partial wave
analysis, technically similar to the earliest Virginia Tech analysis of
photoproduction data, we compare photo-decay amplitudes at both resonance
positions for a few selected nucleon resonances. Comparisons are made and a
qualitative similarity, seen between the pole and Breit-Wigner values extracted
by the Bonn-Gatchina group, is confirmed in the present study.


title: Isospectrality and heat content

abstract:
  We present examples of isospectral operators that do not have the same heat
content. Several of these examples are planar polygons that are isospectral for
the Laplace operator with Dirichlet boundary conditions. These include examples
with infinitely many components. Other planar examples have mixed Dirichlet and
Neumann boundary conditions. We also consider Schr\"{o}dinger operators acting
in $L^2[0,1]$ with Dirichlet boundary conditions, and show that an abundance of
isospectral deformations do not preserve the heat content.


title: HD depletion in starless cores

abstract:
  Aims: We aim to investigate the abundances of light deuterium-bearing species
such as HD, H2D+ and D2H+ in a gas-grain chemical model including an extensive
description of deuterium and spin state chemistry, in physical conditions
appropriate to the very centers of starless cores. Methods: We combine a
gas-grain chemical model with radiative transfer calculations to simulate
density and temperature structure in starless cores. The chemical model
includes deuterated forms of species with up to 4 atoms and the spin states of
the light species H2, H2+ and H3+ and their deuterated forms. Results: We find
that HD eventually depletes from the gas phase because deuterium is efficiently
incorporated to grain-surface HDO, resulting in inefficient HD production on
grains. HD depletion has consequences not only on the abundances of e.g. H2D+
and D2H+, whose production depends on the abundance of HD, but also on the spin
state abundance ratios of the various light species, when compared with the
complete depletion model where heavy elements do not influence the chemistry.
Conclusions: While the eventual HD depletion leads to the disappearance of
light deuterium-bearing species from the gas phase in a relatively short
timescale at high density, we find that at late stages of core evolution the
abundances of H2D+ and D2H+ increase toward the core edge and the disributions
become extended. The HD depletion timescale increases if less oxygen is
initially present in the gas phase, owing to chemical interaction between the
gas and the dust predecing the starless core phase. Our results are greatly
affected if H2 is allowed to tunnel on grain surfaces, and therefore more
experimental data not only on tunneling but also on the O + H2 surface reaction
in particular is needed.


title:
Ginzburg-Landau theory for multiband superconductors: microscopic
  derivation

abstract:
  A procedure to derive the Ginzburg-Landau (GL) theory from the multiband BCS
Hamiltonian is developed in a general case with an arbitrary number of bands
and arbitrary interaction matrix. It combines the standard Gor'kov truncation
and a subsequent reconstruction in order to match accuracies of the obtained
terms. This reconstruction recovers the phenomenological GL theory as obtained
from the Landau model of phase transitions but offers explicit microscopic
expressions for the relevant parameters. Detailed calculations are presented
for a three-band system treated as a prototype multiband superconductor. It is
demonstrated that the symmetry in the coupling matrix may lead to the chiral
ground state with the phase frustration, typical for systems with broken
time-reversal symmetry.


title: Mining the Aql X-1 long term X-ray light curve

abstract:
  Aql X-1 is the prototypical low mass X-ray binary transient. The Rossi X-ray
Timing Explorer All Sky Monitor provided a ~16 yr coverage revealing 20
outbursts. This is by far the most extensive legacy of outbursts from the same
source. We investigated the outbursts characteristics in terms of energetics,
peak luminosities, durations, decays and recurrence times. We found that bright
outbursts (peak luminosity >10^{37} erg s^-1) equal in number dimmer outbursts
(<10^{36.6} erg s^-1). The peak luminosity does not correlate with outburst
energetics, durations or quiescent times. We analysed the latest stages of the
outbursts searching for exponential and/or linear decays. Light curve modeling
led to constraints on the outer disk radius and enabled us to estimate the
viscosity and the irradiation parameters. The former is larger than what has
been obtained for other, shorter orbital period, transients, while the latter
is somewhat smaller. This might be related to the longer orbital period of Aql
X-1 with respect to other transient X-ray binaries.


title:
Ornstein-Uhlenbeck limit for the velocity process of an $N$-particle
  system interacting stochastically

abstract:
  An $N$-particle system with stochastic interactions is considered.
Interactions are driven by a Brownian noise term and total energy conservation
is imposed. The evolution of the system, in velocity space, is a diffusion on a
$(3N-1)$-dimensional sphere with radius fixed by the total energy. In the
$N\rightarrow\infty$ limit, a finite number of velocity components are shown to
evolve independently and according to an Ornstein-Uhlenbeck process.

categories: math-ph cond-mat.stat-mech math.MP nlin.CD


title:
Local limits of conditioned Galton-Watson trees I: the infinite spine
  case

abstract:
  We give a necessary and sufficient condition for the convergence in
distribution of a conditioned Galton-Watson tree to Kesten's tree. This yields
elementary proofs of Kesten's result as well as other known results on local
limit of conditioned Galton-Watson trees. We then apply this condition to get
new results, in the critical and sub-critical cases, on the limit in
distribution of a Galton-Watson tree conditioned on having a large number of
individuals with out-degree in a given set.


title:
On the quasiconvexity of the fixed subgroup of endomorphisms of
  relatively hyperbolic groups

abstract:
  We prove that for any finitely generated relatively hyperbolic group G and
any symmetric endomorphism f of G with relatively quasiconvex image, Fixf is
relatively quasiconvex subgroup of G.


title: Many Topological Insulators Fail the Surface Conduction Test

abstract:
  In this report, we scrutinize the thickness dependent resistivity data from
the recent literature on electrical transport measurements in topological
insulators. A linear increase in resistivity with increase in thickness is
expected in the case of these materials since they have an insulating bulk and
conducting surface. However, such a trend is not seen in the resistivity versus
thickness data for all the cases examined, except for some samples, where it
holds for a narrow range of thickness.


title: Stability of peakons for a modified Camassa-Holm equation

abstract:
  In this paper, we investigate the orbital stability of peakons for a modified
Camassa-Holm equation with cubic nonlinearity derived from the two-dimensional
Euler equation. By overcoming the difficulties caused by one of the complicated
conservation laws and introducing a new auxiliary function, we prove the
orbital stability of peakons for the equation.


title:
Self-consistent GW: All-electron implementation with localized basis
  functions

abstract:
  This paper describes an all-electron implementation of the self-consistent GW
(sc-GW) approach -- i.e. based on the solution of the Dyson equation -- in an
all-electron numeric atom-centered orbital (NAO) basis set. We cast Hedin's
equations into a matrix form that is suitable for numerical calculations by
means of i) the resolution of identity technique to handle 4-center integrals;
and ii) a basis representation for the imaginary-frequency dependence of
dynamical operators. In contrast to perturbative G0W0, sc-GW provides a
consistent framework for ground- and excited-state properties and facilitates
an unbiased assessment of the GW approximation. For excited-states, we
benchmark sc-GW for five molecules relevant for organic photovoltaic
applications: thiophene, benzothiazole, 1,2,5-thiadiazole, naphthalene, and
tetrathiafulvalene. At self-consistency, the quasi-particle energies are found
to be in good agreement with experiment and, on average, more accurate than
G0W0 based on Hartree-Fock (HF) or density-functional theory with the
Perdew-Burke-Ernzerhof (PBE) exchange-correlation functional. Based on the
Galitskii-Migdal total energy, structural properties are investigated for a set
of diatomic molecules. For binding energies, bond lengths, and vibrational
frequencies sc-GW and G0W0 achieve a comparable performance, which is, however,
not as good as that of exact-exchange plus correlation in the random-phase
approximation (EX+cRPA) and its advancement to renormalized second-order
perturbation theory (rPT2). Finally, the improved description of dipole moments
for a small set of diatomic molecules demonstrates the quality of the sc-GW
ground state density.


title:
Improved duality estimates and applications to reaction-diffusion
  equations

abstract:
  We present a refined duality estimate for parabolic equations. This estimate
entails new results for systems of reaction-diffusion equations, including
smoothness and exponential convergence towards equilibrium for equations with
quadratic right-hand sides in two dimensions. For general systems in any space
dimension, we obtain smooth solutions of reaction-diffusion systems coming out
of reversible chemistry under an assumption that the diffusion coefficients are
sufficiently close one to another.


title:
Multispectral Spatial Characterization: Application to Mitosis Detection
  in Breast Cancer Histopathology

abstract:
  Accurate detection of mitosis plays a critical role in breast cancer
histopathology. Manual detection and counting of mitosis is tedious and subject
to considerable inter- and intra-reader variations. Multispectral imaging is a
recent medical imaging technology, proven successful in increasing the
segmentation accuracy in other fields. This study aims at improving the
accuracy of mitosis detection by developing a specific solution using
multispectral and multifocal imaging of breast cancer histopathological data.
We propose to enable clinical routine-compliant quality of mitosis
discrimination from other objects. The proposed framework includes
comprehensive analysis of spectral bands and z-stack focus planes, detection of
expected mitotic regions (candidates) in selected focus planes and spectral
bands, computation of multispectral spatial features for each candidate,
selection of multispectral spatial features and a study of different
state-of-the-art classification methods for candidates classification as
mitotic or non mitotic figures. This framework has been evaluated on MITOS
multispectral medical dataset and achieved 60% detection rate and 57%
F-Measure. Our results indicate that multispectral spatial features have more
information for mitosis classification in comparison with white spectral band
features, being therefore a very promising exploration area to improve the
quality of the diagnosis assistance in histopathology.