title:
Extended Distributed Learning Automata:A New Method for Solving
  Stochastic Graph Optimization Problems

abstract:
  In this paper, a new structure of cooperative learning automata so-called
extended learning automata (eDLA) is introduced. Based on the proposed
structure, a new iterative randomized heuristic algorithm for finding optimal
sub-graph in a stochastic edge-weighted graph through sampling is proposed. It
has been shown that the proposed algorithm based on new networked-structure can
be to solve the optimization problems on stochastic graph through less number
of sampling in compare to standard sampling. Stochastic graphs are graphs in
which the edges have an unknown distribution probability weights. Proposed
algorithm uses an eDLA to find a policy that leads to an induced sub-graph that
satisfies some restrictions such as minimum or maximum weight (length). At each
stage of the proposed algorithm, eDLA determines which edges to be sampled.
This eDLA-based proposed sampling method may result in decreasing unnecessary
samples and hence decreasing the time that algorithm requires for finding the
optimal sub-graph. It has been shown that proposed method converge to optimal
solution, furthermore the probability of this convergence can be made
arbitrarily close to 1 by using a sufficiently small learning rate. A new
variance-aware threshold value was proposed that can be improving significantly
convergence rate of the proposed eDLA-based algorithm. It has been shown that
the proposed algorithm is competitive in terms of the quality of the solution


title:
Wind Speed Data Analysis for Various Seasons during a Decade by Wavelet
  and S transform

abstract:
  The appropriate weather prediction is a challenging task and it can be
feasible with proper wind speed fluctuation analysis. In this current paper
daubechies-4 wavelet is used to analyze the winter wind speed fluctuations due
to lesser agitated wind data samples of winter. In summer abrupt changes in
wind speed occurs which creates difficulty for wavelets to keep proper track of
wind speed fluctuations. So, in that case the concept of the S-transform is
introduced.


title: Non-commutative Toric Varieties

abstract:
  In this note we introduce a new family of non-commutative spaces that we call
non-commutative toric varieties and we describe some of their main properties.
The main technical tool in this investigation is a natural extension of
LVM-theory for the irrational case. In order to introduce the moduli space of
(non-commutative) toric varieties we use variations on the notion of diffeology
as models for non-commutative spaces.


title: On the product of projectors and generalized inverses

abstract:
  We consider generalized inverses of linear operators on arbitrary vector
spaces and study the question when their product in reverse order is again a
generalized inverse. This problem is equivalent to the question when the
product of two projectors is again a projector, and we discuss necessary and
sufficient conditions in terms of their kernels and images alone. We give a new
representation of the product of generalized inverses that does not require
explicit knowledge of the factors. Our approach is based on implicit
representations of subspaces via their orthogonals in the dual space. For
Fredholm operators, the corresponding computations reduce to finite-dimensional
problems. We illustrate our results with examples for matrices and linear
ordinary boundary problems.


title:
Generalized Bose-Einstein condensation into multiple states in
  driven-dissipative systems

abstract:
  Bose-Einstein condensation, the macroscopic occupation of a single quantum
state, appears in equilibrium quantum statistical mechanics and persists also
in the hydrodynamic regime close to equilibrium. Here we show that even when a
degenerate Bose gas is driven into a steady state far from equilibrium, where
the notion of a single-particle ground state becomes meaningless, Bose-Einstein
condensation survives in a generalized form: the unambiguous selection of an
odd number of states acquiring large occupations. Within mean-field theory we
derive a criterion for when a single and when multiple states are Bose selected
in a non-interacting gas. We study the effect in several driven-dissipative
model systems, and propose a quantum switch for heat conductivity based on
shifting between one and three selected states.


title:
Cryptanalysis of a multi-party quantum key agreement protocol with
  single particles

abstract:
  Recently, Sun et al. [Quant Inf Proc DOI: 10.1007/s11128-013-0569-x]
presented an efficient multi-party quantum key agreement (QKA) protocol by
employing single particles and unitary operations. The aim of this protocol is
to fairly and securely negotiate a secret session key among $N$ parties with a
high qubit efficiency. In addition, the authors claimed that no participant can
learn anything more than his/her prescribed output in this protocol, i.e., the
sub-secret keys of the participants can be kept secret during the protocol.
However, here we points out that the sub-secret of a participant in Sun et
al.'s protocol can be eavesdropped by the two participants next to him/her. In
addition, a certain number of dishonest participants can fully determine the
final shared key in this protocol. Finally, we discuss the factors that should
be considered when designing a really fair and secure QKA protocol.


title: A splitting algorithm for system of composite monotone inclusions

abstract:
  We propose a splitting algorithm for solving a system of composite monotone
inclusions formulated in the form of the extended set of solutions in real
Hilbert spaces. The resluting algorithm is a an extension of the algorithm in
[4]. The weak convergence of the algorithm proposed is proved. Applications to
minimization problems is demonstrated.


title: IDS in Telecommunication Network Using PCA

abstract:
  Data Security has become a very serious part of any organizational
information system. Internet threats have become more intelligent so it can
deceive the basic security solutions such as firewalls and antivirus scanners.
To enhance the overall security of the network an additional security layer
such as intrusion detection system (IDS) has to be added. The anomaly detection
IDS is a type of IDS that can differentiate between normal and abnormal in the
data monitored. This paper proposes two types of IDS, one of them can be used
as a network intrusion detection system (NIDS) with overall success (0.9161)
and high detection rate (0.9288) and the other type can also be used as a host
intrusion detection system (HIDS) with overall success (0.8493) and very high
detection rate (0.9628) using NSL-KDD data set.


title:
Unusual migration of the prominence activities in the southern
  hemisphere during Cycle 23--24

abstract:
  The solar activity in Cycle 23--24 shows differences from the previous cycles
that were observed with modern instruments, e.g. long cycle duration and a
small number of sunspots. To appreciate the anomalies further, we investigated
the prominence eruptions and disappearances observed with the Nobeyama
Radioheliograph during over 20 years. Consequently, we found that the
occurrence of the prominence activities in the northern hemisphere is normal
because the period of the number variation is 11 years and the migration of the
producing region of the prominence activities traces the migration of 11 years
ago. On the other hand, the migration in the southern hemisphere significantly
differs from that in the northern hemisphere and the previous cycles. The
prominence activities occurred over -50 degrees latitude in spite of the late
decay phase of Cycle 23, and the number of the prominence activities in the
higher latitude region (over -65 degrees) is very small even near the solar
maximum of Cycle 24. The results suggest that the anomalies of the global
magnetic field distribution started at the solar maximum of Cycle 23.
Comparison of the butterfly diagram of the prominence activities with the
magnetic butterfly diagram indicates that the timing of "the rush to the pole"
and the polar magnetic field closely relates to the unusual migration.
Considering that the rush to the pole is made of the sunspots, the hemispheric
asymmetry of the sunspots and the strength of the polar magnetic fields are
essential for understanding the anomalies of the prominence activities.


title: Sampling, Metric Entropy and Dimensionality Reduction

abstract:
  Let $Q$ be a relatively compact subset in a Hilbert space $V$. For a given
$\e>0$ let $N(\e,Q)$ be the minimal number of linear measurements, sufficient
to reconstruct any $x \in Q$ with the accuracy $\e$. We call $N(\e,Q)$ a
sampling $\e$-entropy of $Q$. Using Dimensionality Reduction, as provided by
the Johnson-Lindenstrauss lemma, we show that, in an appropriate probabilistic
setting, $N(\e,Q)$ is bounded from above by the Kolmogorov's $\e$-entropy
$H(\e,Q)$, defined as $H(\e,Q)=\log M(\e,Q)$, with $M(\e,Q)$ being the minimal
number of $\e$-balls covering $Q$. As the main application, we show that
piecewise smooth (piecewise analytic) functions in one and several variables
can be sampled with essentially the same accuracy rate as their regular
counterparts. For univariate piecewise $C^k$-smooth functions this result,
which settles the so-called Eckhoff conjecture, was recently established in
\cite{Bat} via a deterministic "algebraic reconstruction" algorithm.


title:
Strong photon blockade with intracavity electromagnetically induced
  transparency in blockaded Rydberg ensemble

abstract:
  We consider the dynamics of intracavity electromagnetically induced
transparency (EIT) in an ensemble of strongly interacting Rydberg atoms. By
combining the advantage of variable cavity lifetimes with intracavity EIT and
strongly interacting Rydberg dark-state polaritons, we show that such
intracavity EIT system could exhibit very strong photon blockade effect.


title:
RGE, the naturalness problem and the understanding of the Higgs mass
  term

abstract:
  The naturalness problem might be studied on the complex two dimensional plane
with the technique of dimensional regularization(DREG). The Renormalization
group equation(RGE) of the Higgs mass on the plane suggests the Higgs mass
approaches zero at ultraviolate (UV) scale, the scale can be Planck scale when
the top quark pole mass $M_{t}=168$ GeV. The real issue of the naturalness
problem in the sense of Wilsonian renormalization group method is not about
quadratic divergences but the rescaling effect. The Higgs mass can be
considered to be one composed mass. All terms in the lagrangian in this
scenario are marginal terms and no relevant terms are left, thus no rescaling
effect to cause the naturalness problem anymore. RGE of the vacuum expectation
value (VEV) in the Landau gauge up to two-loop order is studied.
Scale-dependent behavior of the composed Higgs mass shows that we can have one
tiny Higgs mass at high energy scale, even around the Planck scale, when
$M_{t}\leq170.7$ GeV.


title:
Sensitivity studies of heat transfer: forced convection across a
  cylindrical pipe and duct flow

abstract:
  We consider two common heat transfer processes and perform a through
sensitivity study of the variables involved. We derive and discuss analytical
formulas for the heat transfer coefficient in function of film velocity, air
temperature and pipe diameter. The according plots relate to a qualitative
analysis of the multi-variable function $h$, according to functional
optimization. For each process, we provide with graphs and tables of the
parameters of interest, such as the Reynolds number. This method of study and
the specific values can constitute a useful reference for didactic purposes.


title: What happens at the horizon?

abstract:
  The Schwarzschild metric has an apparent singularity at the horizon r=2M.
What really happens there? If physics at the horizon is 'normal' laboratory
physics, then we run into Hawking's information paradox. If we want nontrivial
structure at the horizon, then we need a mechanism to generate this structure
that evades the 'no hair' conjectures of the past. Further, if we have such
structure, then what would the role of the traditional black hole metric which
continues smoothly past the horizon? Recent work has provided an answer to
these questions, and in the process revealed a beautiful tie-up between
gravity, string theory and thermodynamics.


title:
On the Relationship between Discrete and Continuous Energy Spectra of
  SU(N) Supermembrane Matrix Model

abstract:
  It has been known that SU(N) supermembrane matrix model has continuous energy
spectrum, and it has also been conjectured that it has a normalizable energy
eigenstate. Assuming that there exists a normalizable energy eigenstate for
each N, we show that there exists a branch of continuous energy spectrum for
each partition of N.


title: Accelerating R-based Analytics on the Cloud

abstract:
  This paper addresses how the benefits of cloud-based infrastructure can be
harnessed for analytical workloads. Often the software handling analytical
workloads is not developed by a professional programmer, but on an ad hoc basis
by Analysts in high-level programming environments such as R or Matlab. The
goal of this research is to allow Analysts to take an analytical job that
executes on their personal workstations, and with minimum effort execute it on
cloud infrastructure and manage both the resources and the data required by the
job. If this can be facilitated gracefully, then the Analyst benefits from
on-demand resources, low maintenance cost and scalability of computing
resources, all of which are offered by the cloud. In this paper, a Platform for
Parallel R-based Analytics on the Cloud (P2RAC) that is placed between an
Analyst and a cloud infrastructure is proposed and implemented. P2RAC offers a
set of command-line tools for managing the resources, such as instances and
clusters, the data and the execution of the software on the Amazon Elastic
Computing Cloud infrastructure. Experimental studies are pursued using two
parallel problems and the results obtained confirm the feasibility of employing
P2RAC for solving large-scale analytical problems on the cloud.


title: Quantum dynamics of the harmonic oscillator on a cylinder

abstract:
  Evolution of coherent states is considered for a particle confined to a
cylinder moving in a harmonic oscillator potential. Because of the
discontinuous changes as time goes by of the phase representing the position of
a particle on a parallel (circle) the trajectory pattern of quantum averages
specifying coordinates on a cylinder is very complex and in some aspects
resembles chaotic one.


title: Supermembrane actions for Gaiotto-Maldacena backgrounds

abstract:
  We write down the supermembrane actions for M-theory backgrounds dual to
general ${\cal N}=2$ four-dimensional superconformal field theories. The
actions are given to all orders in fermions and are in a particular
$\kappa$-gauge. When an extra U(1) isometry is present our actions reduce to
$\kappa$-gauge fixed Green-Schwarz actions for the corresponding Type IIA
backgrounds.


title:
Combining data from multiple spatially referenced prevalence surveys
  using generalized linear geostatistical models

abstract:
  Data from multiple prevalence surveys can provide information on common
parameters of interest, which can therefore be estimated more precisely in a
joint analysis than by separate analyses of the data from each survey. However,
fitting a single model to the combined data from multiple surveys is
inadvisable without testing the implicit assumption that all of the surveys are
directed at the same inferential target. In this paper we propose a
multivariate generalized linear geostatistical model that accommodates two
sources of heterogeneity across surveys so as to correct for spatially
structured bias in non-randomised surveys and to allow for temporal variation
in the underlying prevalence surface between consecutive survey-periods. We
describe a Monte Carlo maximum likelihood procedure for parameter estimation,
and show through simulation experiments how accounting for the different
sources of heterogeneity among surveys in a joint model leads to more precise
inferences. We describe an application to multiple surveys of malaria
prevalence conducted in Chikhwawa District, Southern Malawi, and discuss how
this approach could inform hybrid sampling strategies that combine data from
randomised and non-randomised surveys so as to make the most efficient use of
all available data.


title:
Modification of Bayesian Updating where Continuous Parameters have
  Differing Relationships with New and Existing Data

abstract:
  Bayesian analyses are often performed using so-called noninformative priors,
with a view to achieving objective inference about unknown parameters on which
available data depends. Noninformative priors depend on the relationship of the
data to the parameters over the sample space. Combining Bayesian updating -
multiplying an existing posterior density for parameters being estimated by a
likelihood function derived from independent new data that depend on those
parameters and renormalizing - with use of noninformative priors gives rise to
inconsistency where existing and new data depend on continuous parameters in
different ways. In such cases, noninformative priors for inference from only
the existing and from only the new data would differ, so Bayesian updating
would give different final posterior densities depending on which set of data
was used to derive an initial posterior and which was used to update that
posterior. I propose a revised Bayesian updating method, which resolves this
inconsistency by updating the prior as well as the likelihood function, and
involves only a single application of Bayes' theorem. The revised method is
also applicable where actual prior information as to parameter values exists
and inference that objectively reflects the existing information as well as new
data is sought. I demonstrate by numerical testing the probability-matching
superiority of the proposed revised updating method, in two cases.


title: Vertex operators, Weyl determinant formulae and Littlewood duality

abstract:
  Vertex operator realizations of symplectic and orthogonal Schur functions are
studied and expanded. New proofs of determinant identities of irreducible
characters for the symplectic and orthogonal groups are given. We also give a
new proof of the duality between the universal orthogonal and symplectic Schur
functions using vertex operators.


title:
Non-trivial linear bounds for a random walk driven by a simple symmetric
  exclusion process

abstract:
  Non-trivial linear bounds are obtained for the displacement of a random walk
in a dynamic random environment given by a one-dimensional simple symmetric
exclusion process in equilibrium. The proof uses an adaptation of multiscale
renormalization methods of Kesten and Sidoravicius.


title: Functions without influential coalitions

abstract:
  We give counterexamples to a conjecture of Benny Chor and another of the
second author, both from the late 80s, by exhibiting functions for which the
influences of large coalitions are unexpectedly small relative to the
expectations of the functions.


title: Complex dynamics of a nonlinear voter model with contrarian agents

abstract:
  We investigate mean-field dynamics of a nonlinear opinion formation model
with congregator and contrarian agents. Each agent assumes one of the two
possible states. Congregators imitate the state of other agents with a rate
that increases with the number of other agents in the opposite state, as in the
linear voter model and nonlinear majority voting models. Contrarians flip the
state with a rate that increases with the number of other agents in the same
state. The nonlinearity controls the strength of the majority voting and is
used as a main bifurcation parameter. We show that the model undergoes a rich
bifurcation scenario comprising the egalitarian equilibrium, two symmetric
lopsided equilibria, limit cycle, and coexistence of different types of stable
equilibria with intertwining attrative basins.


title:
About the influence of the temperature and pressure on the fractal
  dimension of defects in crystal structures

abstract:
  It is shown that the results presented in the article 'The influence of the
temperature and pressure on a fractal dimension of defects in crystal
structures' by V.B. Fedoseev (Butlerov communications. 2010. V23. Number 14.
P.36-42) are not correct, because the results are based on impracticable
conditions, conflicting assumptions and incorrect distributions.


title: Improved Quality of Service Protocol for Real Time Traffic in MANET

abstract:
  The technologies like Wi-Fi, Blue tooth, WiMax etc. have made Mobile Ad hoc
Networks common in our Real life. Multi-media applications need to be supported
on MANET. A certain level of QoS (Quality of Service) support is essential for
Real time data. Our proposed protocol provides the required QoS without having
negative impact on Best Effort data traffic. An efficient rout discovery
mechanism for AODV routing protocol as well as transmission technique for real
time data are proposed. This technique gives more transmission opportunities to
real time data traffic results in decreasing transmission delay and increasing
throughput. A modified version of the popular AODV routing protocol to provide
QoS guarantee for real time traffic in MANETs is proposed. The simulation shows
better performance results for proposed protocol over the basic AODV.


title: Effective Construction of a Class of Bent Quadratic Boolean Functions

abstract:
  In this paper, we consider the characterization of the bentness of quadratic
Boolean functions of the form $f(x)=\sum_{i=1}^{\frac{m}{2}-1}
Tr^n_1(c_ix^{1+2^{ei}})+ Tr_1^{n/2}(c_{m/2}x^{1+2^{n/2}}) ,$ where $n=me$, $m$
is even and $c_i\in GF(2^e)$. For a general $m$, it is difficult to determine
the bentness of these functions. We present the bentness of quadratic Boolean
function for two cases: $m=2^vp^r$ and $m=2^vpq$, where $p$ and $q$ are two
distinct primes. Further, we give the enumeration of quadratic bent functions
for the case $m=2^vpq$.


title: Equivariant Refinements

abstract:
  We show that if an open cover of a finite dimensional space is equivariant
with respect to some finite group action on the space then there is an
equivariant refinement of bounded dimension. This will generalize some
constructions of certain covers. Those generalizations play a key role in the
proof of the Farrell-Jones conjecture for the general linear group over a
finite field.


title: EPW sextics and Hilbert squares of K3 surfaces

abstract:
  We prove that the Hilbert square $S^{[2]}$ of a very general primitively
polarized K3 surface S of degree $d(n) = 2(4n^2 + 8n + 5)$, $n \geq 1$ is
birational to a double Eisenbud-Popescu-Walter sextic. Our result implies a
positive answers, in the case when $r$ is even, to a conjecture of O'Grady: On
the Hilbert square of a very general K3 surface of genus $r^2 + 2$, $r \geq 1$
there is an antisymplectic involution. We explicitly give this involution on
$S^{[2]}$ in term of the corresponding EPW polarization on it.


title: Color-flavor locked strange quark matter in a strong magnetic field

abstract:
  The quark quasiparticle model is extended to study the properties of
color-flavor locked strange quark matter at finite chemical potential and in a
strong magnetic field. We present a self-consistent thermodynamic treatment by
employing a chemical potential dependent bag function. It is found that the
magnetized color-flavor-locked (MCFL) matter is more stable than other phases
within a proper magnitude of magnetic field. The stability window is
graphically shown for the MCFL matter compared with ordinate magnetized matter.
The anisotropic structure of MCFL matter is dominated by the magnetic field and
almost independent of the energy gaps. A critical maximum magnetic field of
about $1.56\times 10^{18}$ G is found, under which MCFL matter is absolutely
stable with respect to nuclear matter.


title:
A correspondence between a class of monoids and self-similar group
  actions II

abstract:
  The first author showed in a previous paper that there is a correspondence
between self-similar group actions and a class of left cancellative monoids
called left Rees monoids. These monoids can be constructed either directly from
the action using Zappa-Sz\'ep products, a construction that ultimately goes
back to Perrot, or as left cancellative tensor monoids from the covering
bimodule, utilizing a construction due to Nekrashevych, In this paper, we
generalize the tensor monoid construction to arbitrary bimodules. We call the
monoids that arise in this way Levi monoids and show that they are precisely
the equidivisible monoids equipped with length functions. Left Rees monoids are
then just the left cancellative Levi monoids. We single out the class of
irreducible Levi monoids and prove that they are determined by an isomorphism
between two divisors of its group of units. The irreducible Rees monoids are
thereby shown to be determined by a partial automorphism of their group of
units; this result turns out to be signficant since it connects irreducible
Rees monoids directly with HNN extensions. In fact, the universal group of an
irreducible Rees monoid is an HNN extension of the group of units by a single
stable letter and every such HNN extension arises in this way.


title: Towards the Ultimate SM Fit to Close in on Higgs Physics

abstract:
  With the discovery of the Higgs at the LHC, experiments have finally
addressed all aspects of the Standard Model (SM). At this stage, it is
important to understand which windows for beyond the SM (BSM) physics are still
open, and which are instead tightly closed. We address this question by
parametrizing BSM effects with dimension-six operators and performing a global
fit to the SM. We separate operators into different groups constrained at
different levels, and provide independent bounds on their Wilson coefficients
taking into account only the relevant experiments. Our analysis allows to
assert in a model-independent way where BSM effects can appear in Higgs
physics. In particular, we show that deviations from the SM in the differential
distributions of h->Vff are related to other observables, such as triple
gauge-boson couplings, and are then already constrained by present data. On the
contrary, BR(h-> Z+gamma) can still hide large deviations from the SM.


title:
Studying Galactic interstellar turbulence through fluctuations in
  synchrotron emission: First LOFAR Galactic foreground detection

abstract:
  The characteristic outer scale of turbulence and the ratio of the random to
ordered components of the magnetic field are key parameters to characterise
magnetic turbulence in the interstellar gas, which affects the propagation of
cosmic rays within the Galaxy. We provide new constraints to those two
parameters. We use the LOw Frequency ARray (LOFAR) to image the diffuse
continuum emission in the Fan region at (l,b) (137.0,+7.0) at 80"x70"
resolution in the range [146,174] MHz. We detect multi-scale fluctuations in
the Galactic synchrotron emission and compute their power spectrum. Applying
theoretical estimates and derivations from the literature for the first time,
we derive the outer scale of turbulence and the ratio of random to ordered
magnetic field from the characteristics of these fluctuations . We obtain the
deepest image of the Fan region to date and find diffuse continuum emission
within the primary beam. The power spectrum of the foreground synchrotron
fluctuations displays a power law behaviour for scales between 100 and 8 arcmin
with a slope of (-1.84+/-0.19). We find an upper limit of about 20 pc for the
outer scale of the magnetic interstellar turbulence toward the Fan region. We
also find a variation of the ratio of random to ordered field as a function of
Galactic coordinates, supporting different turbulent regimes. We use power
spectra fluctuations from LOFAR as well as earlier GMRT and WSRT observations
to constrain the outer scale of turbulence of the Galactic synchrotron
foreground, finding a range of plausible values of 10-20 pc. Then, we use this
information to deduce lower limits of the ratio of ordered to random magnetic
field strength. These are found to be 0.3, 0.3, and 0.5 for the LOFAR, WSRT and
GMRT fields considered respectively. Both these constraints are in agreement
with previous estimates.


title: Homotopy type of Frobenius complexes

abstract:
  A submonoid A of N^d has a natural order defined by a <= a + b for elements a
and b of A. The Frobenius complex is the order complex of an open interval of A
with respect to this order. In this paper, the homotopy type of the Frobenius
complex of A is determined when A is the submonoid of N generated by two
relatively prime integers, or the submonoid of N^2 generated by three elements
of which any two are linearly independent. As an application, the multigraded
Poincare series of the quotient algebra K[x, y, z] / (x^p y^q - z^r) over a
field K is determined and proved to be rational.


title: Improved time-interval analysis

abstract:
  Several extensions of the halflife analysis method recently suggested by
Horvat and Hardy are put forward. Goodness-of-fit testing is included, and the
method is extended to cases where more information is available for each decay
event which allows applications also for e.g. $\gamma$ decay data. The results
are tested with Monte Carlo simulations and are applied to the decays of
$^{64}$Cu and $^{56}$Mn.


title:
Symmetric and antisymmetric nonlinear modes supported by dual local gain
  in lossy lattices

abstract:
  We introduce a discrete lossy system, into which a double hot spot (HS) is
inserted, i.e., two mutually symmetric sites carrying linear gain and cubic
nonlinearity. The system can be implemented as an array of optical or plasmonic
waveguides, with a pair of amplified nonlinear cores embedded into it. We focus
on the case of the self-defocusing nonlinearity and cubic losses acting at the
HSs. Symmetric localized modes pinned to the double HS are constructed in an
implicit analytical form, which is done separately for the cases of odd and
even numbers of intermediate sites between the HSs. In the former case, some
stationary solutions feature a W-like shape, with a low peak at the central
site, added to tall peaks at the positions of the embedded HSs. The special
case of two adjacent HSs is considered too. Stability of the solution families
against small perturbations is investigated in a numerical form, which reveals
stable and unstable subfamilies. The instability of symmetric modes accounting
for by an isolated positive eigenvalue leads to their spontaneous
transformation into co-existing stable antisymmetric modes, while the
instability represented by a pair of complex-conjugate eigenvalues gives rise
to persistent breathers.


title: Discretized Gabor Frames of Totally Positive Functions

abstract:
  In this paper a large class of universal windows for Gabor frames
(Weyl-Heisenberg frames) is constructed. These windows have the fundamental
property that every overcritical rectangular lattice generates a Gabor frame.
Likewise, every undercritical rectangular lattice generates a Riesz sequence.


title: Nonparametric regression with the scale depending on auxiliary variable

abstract:
  The paper is devoted to the problem of estimation of a univariate component
in a heteroscedastic nonparametric multiple regression under the mean
integrated squared error (MISE) criteria. The aim is to understand how the
scale function should be used for estimation of the univariate component. It is
known that the scale function does not affect the rate of the MISE convergence,
and as a result sharp constants are explored. The paper begins with developing
a sharp-minimax theory for a pivotal model
$Y=f(X)+\sigma(X,\mathbf{Z})\varepsilon$, where $\varepsilon$ is standard
normal and independent of the predictor X and the auxiliary vector-covariate
$\mathbf{Z}$. It is shown that if the scale $\sigma(x,\mathbf{z})$ depends on
the auxiliary variable, then a special estimator, which uses the scale (or its
estimate), is asymptotically sharp minimax and adaptive to unknown smoothness
of f(x). This is an interesting conclusion because if the scale does not depend
on the auxiliary covariate $\mathbf{Z}$, then ignoring the heteroscedasticity
can yield a sharp minimax estimation. The pivotal model serves as a natural
benchmark for a general additive model
$Y=f(X)+g(\mathbf{Z})+\sigma(X,\mathbf{Z})\varepsilon$, where $\varepsilon$ may
depend on $(X,\mathbf{Z})$ and have only a finite fourth moment. It is shown
that for this model a data-driven estimator can perform as well as for the
benchmark. Furthermore, the estimator, suggested for continuous responses, can
be also used for the case of discrete responses. Bernoulli and Poisson
regressions, that are inherently heteroscedastic, are particular considered
examples for which sharp minimax lower bounds are obtained as well. A numerical
study shows that the asymptotic theory sheds light on small samples.


title: Chaos in Topological Spaces

abstract:
  We give a definition of chaos for a continuous self-map of a general
topological space. This definition coincides with the Devanney definition for
chaos when the topological space happens to be a metric space. We show that in
a uniform Hausdorff space, there is a meaningful definition of sensitive
dependence on initial conditions, and prove that if a map is chaotic on a such
a space, then it necessarily has sensitive dependence on initial conditions.
The proof is interesting in that it explains very clearly what causes a chaotic
process to have sensitive dependence. Finally, we construct a chaotic map on a
non-metrizable topological space.


title: Dynamics of interval fragmentation and asymptotic distributions

abstract:
  We study the general fragmentation process starting from one element of size
unity (E=1). At each elementary step, each existing element of size $E$ can be
fragmented into $k\,(\ge 2)$ elements with probability $p_k$. From the
continuous time evolution equation, the size distribution function $P(E;t)$ can
be derived exactly in terms of the variable $z= -\log E$, with or without a
source term that produces with rate $r$ additional elements of unit size.
Different cases are probed, in particular when the probability of breaking an
element into $k$ elements follows a power law: $p_k\propto k^{-1-\eta}$. The
asymptotic behavior of $P(E;t)$ for small $E$ (or large $z$) is determined
according to the value of $\eta$. When $\eta>1$, the distribution is
asymptotically proportional to $t^{1/4}\exp[\sqrt{-\alpha t\log E}][-\log
E]^{-3/4}$ with $\alpha$ being a positive constant, whereas for $\eta<1$ it is
proportional to $E^{\eta-1}t^{1/4}\exp[\sqrt{-\alpha t\log E}][-\log E]^{-3/4}$
with additional time-dependent corrections that are evaluated accurately with
the saddle-point method.


title:
Light-matter decoupling in the deep strong coupling regime: The
  breakdown of the Purcell effect

abstract:
  Improvements both in the photonic confinement and in the emitter design have
led to a steady increase in the strength of the light-matter coupling in cavity
quantum electrodynamics experiments. This has allowed to access
interaction-dominated regimes in which the state of the system can only be
described in terms of mixed light-matter excitations. Here we show that, when
the coupling between light and matter becomes strong enough, this picture
breaks down, and light and matter degrees of freedom totally decouple. A
striking consequence of such a counter-intuitive phenomenon is that the Purcell
effect is reversed and the spontaneous emission rate, usually thought to
increase with the light-matter coupling strength, plummets instead for large
enough couplings.


title:
Soft-QCD and UE spectra in pp collisions at very high CM energies (a
  Snowmass white paper)

abstract:
  We make some educated guesses for the extrapolations of typical
soft-inclusive (minimum-bias, pileup, underlying-event) observables to
proton-proton collisions at center-of-mass energies in the range 13 - 100 TeV.
The numbers should be interpreted with (at least) a 10% uncertainty.


title: Numerical simulation of graphene in external magnetic field

abstract:
  In this paper the results of numerical simulation of monolayer graphene in
external magnetic field are presented. The numerical simulation is performed in
the effective lattice field theory with noncompact $3 + 1$-dimensional Abelian
lattice gauge fields and $2 + 1$-dimensional staggered lattice fermions. The
dependences of fermion condensate and graphene conductivity on the dielectric
permittivity of substrate for different values of external magnetic field are
calculated. It is found that magnetic field shifts insulator-semimetal phase
transition to larger values of the dielectric permittivity of substrate. The
phase diagram of graphene in external magnetic field is drawn.


title: Relevance of rank for a mixed state quantum teleportation resource

abstract:
  Mixed entangled states are generic resource for quantum teleportation.
Optimal teleportation fidelity measures the success of quantum teleportation.
The relevance of rank in the teleportation process is investigated by
constructing three new maximally entangled mixed states (MEMS) of different
ranks. Linear entropy, concurrence, optimal teleportation fidelity and Bell
function are obtained for each of the state analytically. It is found that
mixed states with higher rank are better resource for teleportation. In order
to achieve a fixed value of optimal teleportation fidelity, we find that low
rank states must have high concurrence. Further, for each of ranks 2, 3 and 4,
we numerically generate 30000 maximally entangled mixed states. The analysis of
these states reveals the existence of a rank dependent upper bound on optimal
teleportation fidelity for a fixed purity. In order to achieve a fixed optimal
teleportation fidelity, we find MEMS exhibit a rank dependent lower bound on
concurrence. MEMS are classified in terms of their degree of nonlocality.


title: Galaxy spin alignment in filaments and sheets: observational evidence

abstract:
  Galaxies properties are known to be affected by their environment. One
important question is how their angular momentum reflects the surrounding
cosmic web. We use the SDSS to investigate the spin axes of spiral and
elliptical galaxies relative to their surrounding filament/sheet orientations.
To detect filaments a marked point process with interactions (the "Bisous
model") is used. Sheets are found by detecting "flattened" filaments. The minor
axes of ellipticals are found to be preferentially perpendicular to hosting
filaments. A weak correlation is found with sheets. These findings are
consistent with the notion that elliptical galaxies formed via mergers which
predominantly occurred along the filaments. The spin axis of spiral galaxies is
found to align with the host filament, with no correlation between spiral spin
and sheet normal. When examined as a function of distance from the filament
axis, a much stronger correlation is found in outer parts, suggesting that the
alignment is driven by the laminar infall of gas from sheets to filaments. When
compared with numerical simulations our results suggest that the connection
between DM halo and galaxy spin is not straightforward. Our results provide an
important input to the understanding of how galaxies acquire their angular
momentum.


title:
Electromagnetic M1 transition strengths from inelastic proton
  scattering: The cases of 48Ca and 208Pb

abstract:
  Inelastic proton scattering at energies of a few hundred MeV and extreme
forward angles selectively excites the isovector spin-flip M1 (IVSM1)
resonance. A method based on isospin symmetry is presented to extract its
electromagnetic transition strength from the (p,p') cross sections. It is
applied to 48Ca, a key case for an interpretation of the quenching phenomenon
of the spin-isospin response, and leads to a M1 strength consistent with an
older (e,e') experiment excluding the almost two times larger value from a
recent (\gamma,n) experiment. Good agreement with electromagnetic probes is
observed in 208Pb suggesting the possibility to extract systematic information
on the IVSM1 resonance in heavy nuclei.


title: Complex geometry of moment-angle manifolds

abstract:
  Moment-angle manifolds provide a wide class of examples of non-Kaehler
compact complex manifolds. A complex moment-angle manifold Z is constructed via
certain combinatorial data, called a complete simplicial fan. In the case of
rational fans, the manifold Z is the total space of a holomorphic bundle over a
toric variety with fibres compact complex tori. In general, a complex
moment-angle manifold Z is equipped with a canonical holomorphic foliation F
which is equivariant with respect to the (C*)^m-action. Examples of
moment-angle manifolds include Hopf manifolds of Vaisman type, Calabi-Eckmann
manifolds, and their deformations.
  We construct transversely Kaehler metrics on moment-angle manifolds, under
some restriction on the combinatorial data. We prove that any Kaehler
submanifold (or, more generally, a Fujiki class C subvariety) in such a
moment-angle manifold is contained in a leaf of the foliation F. For a generic
moment-angle manifold Z in its combinatorial class, we prove that all
subvarieties are moment-angle manifolds of smaller dimension. This implies, in
particular, that the algebraic dimension of Z is zero.


title:
A lingering non-thermal component in the GRB prompt emission: predicting
  GeV emission from the MeV spectrum

abstract:
  The high energy GeV emission of gamma-ray bursts (GRBs), detected by
\emph{Fermi}/LAT, has a significantly different morphology compared to the
lower energy MeV emission, detected by \emph{Fermi}/GBM. Though the late time
GeV emission is believed to be synchrotron radiation produced via an external
shock, this emission as early as the prompt phase is puzzling. Meaningful
connection between these two emissions can be drawn only by an accurate
description of the prompt MeV spectrum. We perform a time-resolved spectroscopy
of the GBM data of long GRBs having significant GeV emission, using a model
consisting of 2 blackbodies and a power-law. We examine in detail the evolution
of the spectral components and found that GRBs having high GeV emission (GRB
090902B and GRB 090926A) have a delayed onset of the power-law component, in
the GBM spectrum, which lingers at the later part of the prompt emission. This
behaviour mimics the flux evolution in LAT. In contrast, bright GBM GRBs with
an order of magnitude lower GeV emission (GRB 100724B and GRB 091003) show a
coupled variability of the total and the power-law flux. Further, by analyzing
the data for a set of 17 GRBs, we find a strong correlation between the
power-law fluence in the MeV and the LAT fluence (Pearson correlation: r=0.88
and Spearman correlation: $\rho=0.81$). We demonstrate that this correlation is
not influenced by the correlation between the total and the power-law fluences
at a confidence level of 2.3$\sigma$. We speculate the possible radiation
mechanisms responsible for the correlation.


title: Twistor actions for gauge theory and gravity

abstract:
  This is a review of recent developments in the study of perturbative gauge
theory and gravity using action functionals on twistor space. It is intended to
provide a user-friendly introduction to twistor actions, geared towards
researchers or graduate students interested in learning something about the
utility, prospects, and shortcomings of this approach. For those already
familiar with the twistor approach, it should provide a condensed overview of
the literature as well as several novel results of potential interest. This
work is based primarily upon the author's D.Phil. thesis. We first consider
four-dimensional, maximally supersymmetric Yang-Mills theory as a gauge theory
in twistor space. We focus on the perturbation theory associated to this
action, which in an axial gauge leads to the MHV formalism. This allows us to
efficiently compute scattering amplitudes at tree-level (and beyond) in twistor
space. Other gauge theory observables such as local operators and null
polygonal Wilson loops can also be formulated twistorially, leading to proofs
for several correspondences between correlation functions and Wilson loops, as
well as a recursive formula for computing mixed Wilson loop / local operator
correlators. We then apply the twistor action approach to general relativity,
using the on-shell equivalence between conformal and Einstein gravity. This can
be extended to N=4 supersymmetry. The perturbation theory of the twistor action
leads to formulae for the MHV amplitude with and without cosmological constant,
yields a candidate for the Einstein twistor action, and induces a MHV formalism
on twistor space. Appendices include discussion of super-connections and
Coulomb branch regularization on twistor space.


title:
Effect of decoherence on the Berry phase of a spin-half in a rotating
  magnetic field

abstract:
  We investigate the decoherence effect of a bosonic bath on the Berry phase of
a spin-1/2 in a time-dependent magnetic field, without making the Markovian
approximation. A two-cycle process resulting in a pure Berry phase is
considered. The low-frequency quantum noise significantly affects the Berry
phase. In the adiabatic limit, the high-frequency quantum noise only has a
small effect. The result is also valid in some more general situations.


title: Density cubes and higher-order interference theories

abstract:
  Can quantum theory be seen as a special case of a more general probabilistic
theory, similarly as classical theory is a special case of the quantum one? We
study here the class of generalized probabilistic theories defined by the order
of interference they exhibit as proposed by Sorkin. A simple operational
argument shows that the theories require higher-order tensors as a
representation of physical states. For the third-order interference we derive
an explicit theory of "density cubes" and show that quantum theory, i.e. theory
of density matrices, is naturally embedded in it. We derive the genuine
non-quantum class of states and non-trivial dynamics for the case of
three-level system and show how one can construct the states of higher
dimensions. Additionally to genuine third-order interference, the density cubes
are shown to violate the Leggett-Garg inequality beyond the quantum Tsirelson
bound for temporal correlations.


title: Constraining Super-light Sterile Neutrino Scenario by JUNO and RENO-50

abstract:
  The Super-light Sterile Neutrino Scenario (SSNS) has been proposed in the
literature to explain the suppression of the upturn in the low energy solar
data. In this scenario, the mass splitting between the new mass eigenstate,
$\nu_0$ and the standard $\nu_1$ is of order of $\Delta m_{01}^2\sim 10^{-5}$
eV$^2$. Reactor neutrino experiments with baseline larger than $\sim$20 km can
help us to probe this scenario. We study the potential of upcoming JUNO and
RENO-50 reactor experiments for discovering the superlight sterile neutrino or
constraining its mixing parameters. We study the dependence of sensitivity to
the SNSS and find that the proposed JUNO setup is very close to the optimal
setup for probing the SSNS.


title: Non-commutative rational Yang-Baxter maps

abstract:
  Starting from multidimensional consistency of non-commutative lattice
modified Gel'fand-Dikii systems we present the corresponding solutions of the
functional (set-theoretic) Yang-Baxter equation, which are non-commutative
versions of the maps arising from geometric crystals. Our approach works under
additional condition of centrality of certain products of non-commuting
variables. Then we apply such a restriction on the level of the Gel'fand-Dikii
systems what allows to obtain non-autonomous (but with central non-autonomous
factors) versions of the equations. In particular we recover known
non-commutative version of Hirota's lattice sine-Gordon equation, and we
present an integrable non-commutative and non-autonomous lattice modified
Boussinesq equation.


title:
Approach to Equilibrium of a Nondegenerate Quantum System: Decay of
  Oscillations and Detailed Balance as Separate Effects of a Reservoir

abstract:
  The approach to equilibrium of a nondegenerate quantum system involves the
damping of microscopic population oscillations, and, additionally, the bringing
about of detailed balance, i.e. the achievement of the correct Boltzmann
factors relating the populations. These two are separate effects of interaction
with a reservoir. One stems from the randomization of phases and the other from
phase space considerations. Even the meaning of the word `phase' differs
drastically in the two instances in which it appears in the previous statement.
In the first case it normally refers to quantum phases whereas in the second it
describes the multiplicity of reservoir states that corresponds to each system
state. The generalized master equation theory for the time evolution of such
systems is here developed in a transparent manner and both effects of reservoir
interactions are addressed in a unified fashion. The formalism is illustrated
in simple cases including in the standard spin-boson situation wherein a
quantum dimer is in interaction with a bath consisting of harmonic oscillators.
The theory has been constructed for application in energy transfer in molecular
aggregates and in photosynthetic reaction centers.


title: Toroidal Lie superalgebras and free field representations

abstract:
  A loop-algebraic presentation is given for toroidal Lie superalgebras of
classical types. Based on the loop superalgebra presentation free field
realizations of toroidal Lie superalgebras are constructed for types $A(m,n)$,
$B(m,n)$, C(n) and $D(m,n)$.


title: Limits to solar cycle predictability: Cross-equatorial flux plumes

abstract:
  Within the Babcock-Leighton framework for the solar dynamo, the strength of a
cycle is expected to depend on the strength of the dipole moment or net
hemispheric flux during the preceding minimum, which depends on how much flux
was present in each hemisphere at the start of the previous cycle and how much
net magnetic flux was transported across the equator during the cycle. Some of
this transport is associated with the random walk of magnetic flux tubes
subject to granular and supergranular buffeting, some of it is due to the
advection caused by systematic cross-equatorial flows such as those associated
with the inflows into active regions, and some crosses the equator during the
emergence process.
  We aim to determine how much of the cross-equatorial transport is due to
small-scale disorganized motions (treated as diffusion) compared with other
processes such as emergence flux across the equator. We measure the
cross-equatorial flux transport using Kitt Peak synoptic magnetograms,
estimating both the total and diffusive fluxes. Occasionally a large sunspot
group, with a large tilt angle emerges crossing the equator, with flux from the
two polarities in opposite hemispheres. The largest of these events carry a
substantial amount of flux across the equator (compared to the magnetic flux
near the poles). We call such events cross-equatorial flux plumes. There are
very few such large events during a cycle, which introduces an uncertainty into
the determination of the amount of magnetic flux transported across the equator
in any particular cycle. As the amount of flux which crosses the equator
determines the amount of net flux in each hemisphere, it follows that the
cross-equatorial plumes introduce an uncertainty in the prediction of the net
flux in each hemisphere. This leads to an uncertainty in predictions of the
strength of the following cycle.


title:
Extended reverse-convex programming: an approximate enumeration approach
  to global optimization

abstract:
  A new approach to solving a large class of factorable nonlinear programming
(NLP) problems to global optimality is presented in this paper. Unlike the
traditional strategy of partitioning the decision-variable space employed in
many branch-and-bound methods, the proposed approach approximates the NLP
problem by a reverse-convex programming (RCP) problem to a controlled
precision, with the latter then solved by an enumerative search. To establish
the theoretical guarantees of the method, the notion of "RCP regularity" is
introduced and it is proven that enumeration is guaranteed to yield a global
optimum when the RCP problem is regular. An extended RCP algorithmic framework
is then presented and its performance is examined for a small set of test
problems.


title: A new 3D transport and radiation code for galactic cosmic rays

abstract:
  We show the necessity for a new approach towards comprehensive and consistent
simulations of the propagation of galactic cosmic rays. Our developments are
optimised for addressing the spatially 3-dimensional inhomogeneous diffusion
problem and utilise contemporary numerical methods. We aim to address the
transport problem in a full 3-dimensional environment. For that, we test the
transition from 2D to 3D simulation results within an existing propagation
code. We present sub-kpc scale simulations that allow the investigation of
small- scale structures regarding different model conditions such as variety
regarding non-axisymmetric cosmic ray source distributions. These results are
discussed critically and motivate our development of a new transport code for
galactic cosmic rays. The capabilities of this code are outlined.


title:
Convergence of Gaussian quasi-likelihood random fields for ergodic
  L\'{e}vy driven SDE observed at high frequency

abstract:
  This paper investigates the Gaussian quasi-likelihood estimation of an
exponentially ergodic multidimensional Markov process, which is expressed as a
solution to a L\'{e}vy driven stochastic differential equation whose
coefficients are known except for the finite-dimensional parameters to be
estimated, where the diffusion coefficient may be degenerate or even null. We
suppose that the process is discretely observed under the rapidly increasing
experimental design with step size $h_n$. By means of the polynomial-type large
deviation inequality, convergence of the corresponding statistical random
fields is derived in a mighty mode, which especially leads to the asymptotic
normality at rate $\sqrt{nh_n}$ for all the target parameters, and also to the
convergence of their moments. As our Gaussian quasi-likelihood solely looks at
the local-mean and local-covariance structures, efficiency loss would be large
in some instances. Nevertheless, it has the practically important advantages:
first, the computation of estimates does not require any fine tuning, and hence
it is straightforward; second, the estimation procedure can be adopted without
full specification of the L\'{e}vy measure.


title: A Static Malware Detection System Using Data Mining Methods

abstract:
  A serious threat today is malicious executables. It is designed to damage
computer system and some of them spread over network without the knowledge of
the owner using the system. Two approaches have been derived for it i.e.
Signature Based Detection and Heuristic Based Detection. These approaches
performed well against known malicious programs but cannot catch the new
malicious programs. Different researchers have proposed methods using data
mining and machine learning for detecting new malicious programs. The method
based on data mining and machine learning has shown good results compared to
other approaches. This work presents a static malware detection system using
data mining techniques such as Information Gain, Principal component analysis,
and three classifiers: SVM, J48, and Na\"ive Bayes. For overcoming the lack of
usual anti-virus products, we use methods of static analysis to extract
valuable features of Windows PE file. We extract raw features of Windows
executables which are PE header information, DLLs, and API functions inside
each DLL of Windows PE file. Thereafter, Information Gain, calling frequencies
of the raw features are calculated to select valuable subset features, and then
Principal Component Analysis is used for dimensionality reduction of the
selected features. By adopting the concepts of machine learning and
data-mining, we construct a static malware detection system which has a
detection rate of 99.6%.


title: Vibrational mode multiplexing of ultracold atoms

abstract:
  Sending multiple messages on qubits encoded in different vibrational modes of
cold atoms or ions along a transmission waveguide requires to merge first and
then separate the modes at input and output ends. Similarly, different qubits
can be stored in the modes of a trap and be separated later. We design the fast
splitting of a harmonic trap into an asymmetric double well so that the initial
ground vibrational state becomes the ground state of one of two final wells,
and the initial first excited state becomes the ground state of the other well.
This might be done adiabatically by slowly deforming the trap. We speed up the
process by inverse engineering a double-function trap using dynamical
invariants. The separation (demultiplexing) followed by an inversion of the
asymmetric bias and then by the reverse process (multiplexing) provides a
population inversion protocol based solely on trap reshaping.


title:
Asymptotically Optimal Power Allocation for Energy Harvesting
  Communication Networks

abstract:
  For a general energy harvesting (EH) communication network, i.e., a network
where the nodes generate their transmit power through EH, we derive the
asymptotically optimal online power allocation solution which optimizes a
general utility function when the number of transmit time slots, $N$, and the
battery capacities of the EH nodes, $B_{\rm max}$, satisfy $N\to\infty$ and
$B_{\rm max}\to\infty$. The considered family of utility functions is general
enough to include the most important performance measures in communication
theory such as the average data rate, outage probability, average bit error
probability, and average signal-to-noise ratio. The proposed power allocation
solution is very simple. Namely, the asymptotically optimal power allocation
for the EH network is identical to the optimal power allocation for an
equivalent non-EH network whose nodes have infinite energy available but their
average transmit power is constrained to be equal to the average harvested
power and/or the maximum average transmit power of the corresponding nodes in
the EH network. Moreover, the maximum average performance of a general EH
network converges to the maximum average performance of the corresponding
equivalent non-EH network, when $N\to\infty$ and $B_{\rm max}\to\infty$.
Although the proposed solution is asymptotic in nature, it is applicable to EH
systems transmitting in a large but finite number of time slots and having a
battery capacity much larger than the average harvested power and/or the
maximum average transmit power.


title: Energy Controlled Edge Formation for Graphene Nano Ribbons

abstract:
  On the basis of first principles calculations, we report energy estimated to
cut a graphene sheet into nanoribbons of armchair and zigzag configurations.
Our calculations show that the energy required to cut a graphene sheet into
zigzag configuration is higher than that of armchair configuration by an order
of 0.174 eV. Thus, a control over the threshold energy might be helpful in
designing an experiment for cutting a graphene sheet into smooth edged armchair
or zigzag configurations.


title: Ancestral lineages and limit theorems for branching Markov chains

abstract:
  We consider a branching model in discrete time where each individual has a
trait in some general state space. Both the reproduction law and the trait
inherited by the offsprings may depend on the trait of the mother and the
environment. We study the long time behavior of the population and the
ancestral lineage of typical individuals under general assumptions, which we
specify for applications to some models motivated by biology. Our results focus
on the growth rate, the trait distribution among the population for large time,
so as local densities and the position of extremal individuals. The approach
consists in comparing the branching Markov chain to a well chosen (possibly
non-homogeneous) Markov chain.


title: Regressions with Berkson errors in covariates - A nonparametric approach

abstract:
  This paper establishes that so-called instrumental variables enable the
identification and the estimation of a fully nonparametric regression model
with Berkson-type measurement error in the regressors. An estimator is proposed
and proven to be consistent. Its practical performance and feasibility are
investigated via Monte Carlo simulations as well as through an epidemiological
application investigating the effect of particulate air pollution on
respiratory health. These examples illustrate that Berkson errors can clearly
not be neglected in nonlinear regression models and that the proposed method
represents an effective remedy.


title: Independence densities of hypergraphs

abstract:
  We consider the number of independent sets in hypergraphs, which allows us to
define the independence density of countable hypergraphs. Hypergraph
independence densities include a broad family of densities over graphs and
relational structures, such as $F$-free densities of graphs for a given graph
$F.$ In the case of $k$-uniform hypergraphs, we prove that the independence
density is always rational. In the case of finite but unbounded hyperedges, we
show that the independence density can be any real number in $[0,1].$ Finally,
we extend the notion of independence density via independence polynomials.


title:
Wireless Information and Energy Transfer in Multi-Antenna Interference
  Channel

abstract:
  This paper considers the transmitter design for wireless information and
energy transfer (WIET) in a multiple-input single-output (MISO) interference
channel (IFC). The design problem is to maximize the system throughput (i.e.,
the weighted sum rate) subject to individual energy harvesting constraints and
power constraints. Different from the conventional IFCs without energy
harvesting, the cross-link signals in the considered scenario play two opposite
roles in information detection (ID) and energy harvesting (EH). It is observed
that the ideal scheme, where the receivers can simultaneously perform ID and EH
from the received signal, may not always achieve the best tradeoff between
information transfer and energy harvesting, but simple practical schemes based
on time splitting may perform better. We therefore propose two practical time
splitting schemes, namely time division mode switching (TDMS) and time division
multiple access (TDMA), in addition to a power splitting (PS) scheme which
separates the received signal into two parts for ID and EH, respectively. In
the two-user scenario, we show that beamforming is optimal to all the schemes.
Moreover, the design problems associated with the TDMS and TDMA schemes admit
semi-analytical solutions. In the general K-user scenario, a successive convex
approximation method is proposed to handle the WIET problems associated with
the ideal scheme and the PS scheme, which are known to be NP-hard in general.
The K-user TDMS and TDMA schemes are shown efficiently solvable as convex
problems. Simulation results show that stronger cross-link channel powers
actually improve the information sum rate under energy harvesting constraints.
Moreover, none of the schemes under consideration can dominate another in terms
of the sum rate performance.


title: A note on bounds for the cop number using tree decompositions

abstract:
  In this short note, we supply a new upper bound on the cop number in terms of
tree decompositions. Our results in some cases extend a previously derived
bound on the cop number using treewidth.


title:
Exact solution of a kinetic equation of one step processes of growth and
  decay

abstract:
  The exact solution of the kinetic equation of the one step process of a
growth (birth) in the presence of sources (runs-off) is found for arbitrary
dependence of the rate of the growth on the number of the state (or size). It
is shown that the presence of the source leads on the broadening of the state
(or size) distribution. It is shown also that the solution obtained can be used
for approximate definition of the size distribution of nuclei for the case of
large supersaturation of the vapor. The exact solution of the kinetic equation
of the one step process of a decay in the presence of sources (runs-off) is
found also for arbitrary dependence of the rate of the decay on the number of
the state (or size).


title: On the minimum order of k-cop-win graphs

abstract:
  We consider the minimum order graphs with a given cop number. We prove that
the minimum order of a connected graph with cop number 3 is 10, and show that
the Petersen graph is the unique isomorphism type of graph with this property.
We provide the results of a computational search on the cop number of all
graphs up to and including order 10. A relationship is presented between the
minimum order of graph with cop number $k$ and Meyniel's conjecture on the
asymptotic maximum value of the cop number of a connected graph.


title:
Correlation of the critical parameters of the gas-liquid phase
  transition and the density of the crystal at zero absolute temperature

abstract:
  The empirical formula of Timmermanns connecting the density of the crystal at
zero absolute temperature with the parameters of the critical point of the
gas-liquid phase transition is derived theoretically from the Van der Waals
equation of state using the conditions of phase equilibrium. Two equations of
state with three parameters describing the critical point of any pure substance
are considered. The formula is derived approximately from the first equation
and exactly from the second one.


title: The robber strikes back

abstract:
  We consider the new game of Cops and Attacking Robbers, which is identical to
the usual Cops and Robbers game except that if the robber moves to a vertex
containing a single cop, then that cop is removed from the game. We study the
minimum number of cops needed to capture a robber on a graph $G$, written
$cc(G)$. We give bounds on $cc(G)$ in terms of the cop number of $G$ in the
classes of bipartite graphs and diameter two, $K_{1,m}$-free graphs.


title: The Novikov conjecture on Cheeger spaces

abstract:
  We prove the Novikov conjecture on oriented Cheeger spaces whose fundamental
group satisfies the strong Novikov conjecture. A Cheeger space is a stratified
pseudomanifold admitting, through a choice of ideal boundary conditions, an
L2-de Rham cohomology theory satisfying Poincare duality. We prove that this
cohomology theory is invariant under stratified homotopy equivalences and that
its signature is invariant under Cheeger space cobordism. Analogous results,
after coupling with a Mishchenko bundle associated to any Galois covering,
allow us to carry out the analytic approach to the Novikov conjecture: we
define higher analytic signatures of a Cheeger space and prove that they are
stratified homotopy invariants whenever the assembly map is rationally
injective. Finally we show that the analytic signature of a Cheeger space
coincides with its topological signature as defined by Banagl.


title: Quantile and quantile-function estimations under density ratio model

abstract:
  Population quantiles and their functions are important parameters in many
applications. For example, the lower quantiles often serve as crucial quality
indices for forestry products. Given several independent samples from
populations satisfying the density ratio model, we investigate the properties
of empirical likelihood (EL) based inferences. The induced EL quantile
estimators are shown to admit a Bahadur representation that leads to
asymptotically valid confidence intervals for functions of quantiles. We
rigorously prove that EL quantiles based on all the samples are more efficient
than empirical quantiles based on individual samples. A simulation study shows
that the EL quantiles and their functions have superior performance when the
density ratio model assumption is satisfied and when it is mildly violated. An
example is used to demonstrate the new method and the potential cost savings.


title:
Si3N4 ring resonator-based microwave photonic notch filter with an
  ultrahigh peak rejection

abstract:
  We report a simple technique in microwave photonic (MWP) signal processing
that allows the use of an optical filter with a shallow notch to exhibit a
microwave notch filter with anomalously high rejection level. We implement this
technique using a low-loss, tunable Si3N4 optical ring resonator as the optical
filter, and achieved an MWP notch filter with an ultra-high peak rejection > 60
dB, a tunable high resolution bandwidth of 247-840 MHz, and notch frequency
tuning of 2-8 GHz. To our knowledge, this is a record combined peak rejection
and resolution for an integrated MWP filter.


title: Vector Leptons in the Higgs Triplet Model

abstract:
  We analyze the phenomenological implications of introducing vector-like
leptons on the Higgs sector in the Higgs Triplet Model. We impose only a parity
symmetry which disallows mixing between the new states and the ordinary
leptons. If the vector leptons are allowed to be relatively light, they enhance
or suppress the decay rates of loop-dominated neutral Higgs bosons decays h ->
gamma gamma and h -> Z gamma, and affect their correlation. An important
consequence is that, for light vector leptons, the decay patterns of the the
doubly-charged Higgs boson will be altered, modifying the restrictions on their
masses.


title: Three-dimensional coherence matrix and degree of polarization

abstract:
  Inspecting three-dimensional partially polarized light fields we show that
there is no unambiguous correspondence between the three-dimensional field and
coherence matrix (or light beam tensor). Therefore, it is needed to clarify the
definition of unpolarized light. We believe that unpolarized field should be
treated as light of equiprobable polarizations similar to the case of
two-dimensional light. Then degree of polarization bridges two definitions of
the three-dimensional degrees of polarization known in literature. We reveal
that only 6 Stokes parameters are sufficient to describe the coherence matrix.
All these parameters can be retrieved from the in-plane measurements of
two-dimensional coherence matrices.


title:
Integral Bases for the Universal Enveloping Superalgebras of Map
  Superalgebras II

abstract:
  In this paper we define integral forms for the universal enveloping
superalgebras of the map superalgebras of Cartan type complex Lie
superalgebras, and exhibit explicit integral bases for these integral forms.


title:
Cluster mean-field theory study of $J_{1}-J_{2}$ Heisenberg model on a
  square lattice

abstract:
  We study the spin-1/2 $J_{1}$-$J_{2}$ Heisenberg model on a square lattice
using the cluster mean-field theory. We find a rapid convergence of phase
boundaries with increasing cluster size. By extrapolating the cluster size $L$
to infinity, we obtain accurate phase boundaries $J_{2}^{c1} \approx 0.42$
(between the N$\acute{e}$el antiferromagnetic phase and nonmagnetic phase), and
$J_{2}^{c2} \approx 0.59$ (between nonmagnetic phase and the collinear
antiferromagnetic phase). The transitions are identified unambiguously as
second order at $J_{2}^{c1}$ and first order at $J_{2}^{c2}$. At finite
temperature, we present a complete phase diagram with stable, meta-stable and
unstable states near $J_{2}^{c2}$, being relevant to that of the anisotropic
$J_1-J_2$ model. The uniform as well as staggered magnetic susceptibilities are
also discussed.


title: Comparison of metric spectral gaps

abstract:
  Let $A=(a_{ij})\in M_n(\R)$ be an $n$ by $n$ symmetric stochastic matrix. For
$p\in [1,\infty)$ and a metric space $(X,d_X)$, let $\gamma(A,d_X^p)$ be the
infimum over those $\gamma\in (0,\infty]$ for which every $x_1,...,x_n\in X$
satisfy $$ \frac{1}{n^2} \sum_{i=1}^n\sum_{j=1}^n d_X(x_i,x_j)^p\le
\frac{\gamma}{n}\sum_{i=1}^n\sum_{j=1}^n a_{ij} d_X(x_i,x_j)^p. $$
  Thus $\gamma(A,d_X^p)$ measures the magnitude of the {\em nonlinear spectral
gap} of the matrix $A$ with respect to the kernel $d_X^p:X\times X\to
[0,\infty)$. We study pairs of metric spaces $(X,d_X)$ and $(Y,d_Y)$ for which
there exists $\Psi:(0,\infty)\to (0,\infty)$ such that $\gamma(A,d_X^p)\le
\Psi(\gamma(A,d_Y^p))$ for every symmetric stochastic $A\in M_n(\R)$ with
$\gamma(A,d_Y^p)<\infty$. When $\Psi$ is linear a complete geometric
characterization is obtained.
  Our estimates on nonlinear spectral gaps yield new embeddability results as
well as new nonembeddability results. For example, it is shown that if $n\in
\N$ and $p\in (2,\infty)$ then for every $f_1,...,f_n\in L_p$ there exist
$x_1,...,x_n\in L_2$ such that {equation}\label{eq:p factor} \forall\, i,j\in
\{1,...,n\},\quad \|x_i-x_j\|_2\lesssim p\|f_i-f_j\|_p, {equation} and $$
\sum_{i=1}^n\sum_{j=1}^n \|x_i-x_j\|_2^2=\sum_{i=1}^n\sum_{j=1}^n
\|f_i-f_j\|_p^2. $$
  This statement is impossible for $p\in [1,2)$, and the asymptotic dependence
on $p$ in \eqref{eq:p factor} is sharp. We also obtain the best known lower
bound on the $L_p$ distortion of Ramanujan graphs, improving over the work of
Matou\v{s}ek. Links to Bourgain--Milman--Wolfson type and a conjectural
nonlinear Maurey--Pisier theorem are studied.


title: Remote Tomography Via von Neumann-Arthurs-Kelly Interaction

abstract:
  Teleportation usually involves entangled particles 1,2 shared by Alice and
Bob, Bell-state measurement on particle 1 and system particle by Alice,
classical communication to Bob, and unitary transformation by Bob on particle
2. We propose a novel method: interaction-based remote tomography. Alice
arranges an entanglement generating von Neumann-Arthurs-Kelly interaction
between the system and two apparatus particles, and then teleports the latter
to Bob. Bob reconstructs the unknown initial state of the system not received
by him by quadrature measurements on the apparatus particles .


title:
When are Overcomplete Topic Models Identifiable? Uniqueness of Tensor
  Tucker Decompositions with Structured Sparsity

abstract:
  Overcomplete latent representations have been very popular for unsupervised
feature learning in recent years. In this paper, we specify which overcomplete
models can be identified given observable moments of a certain order. We
consider probabilistic admixture or topic models in the overcomplete regime,
where the number of latent topics can greatly exceed the size of the observed
word vocabulary. While general overcomplete topic models are not identifiable,
we establish generic identifiability under a constraint, referred to as topic
persistence. Our sufficient conditions for identifiability involve a novel set
of "higher order" expansion conditions on the topic-word matrix or the
population structure of the model. This set of higher-order expansion
conditions allow for overcomplete models, and require the existence of a
perfect matching from latent topics to higher order observed words. We
establish that random structured topic models are identifiable w.h.p. in the
overcomplete regime. Our identifiability results allows for general
(non-degenerate) distributions for modeling the topic proportions, and thus, we
can handle arbitrarily correlated topics in our framework. Our identifiability
results imply uniqueness of a class of tensor decompositions with structured
sparsity which is contained in the class of Tucker decompositions, but is more
general than the Candecomp/Parafac (CP) decomposition.

categories: cs.LG cs.IR math.NA math.ST stat.ML stat.TH


title: Dynamic conductivity of doped graphene in post-linear response

abstract:
  The interband and intraband conductivities of doped graphene were
theoretically investigated beyond the linear response. The new dependences of
induced currents on frequency and amplitude of external electric field, the
graphene temperature and chemical potential were determined for sufficiently
strong electric fields in the resonant approximation. Particularly, the
saturation of induced currents and the non-linear increase of optical
transparency with wave intensity growth were obtained for arbitrary
temperatures and doped situation. As contrasted to increase for the interband
transitions at fixed intensity, the transmission coefficient of intraband
mechanism decreases with rise of the chemical potential and temperature.


title:
Two-fluid simulations of driven reconnection in the Mega-Ampere
  Spherical Tokamak

abstract:
  In the merging-compression method of plasma start-up, two flux-ropes with
parallel toroidal current are formed around in-vessel poloidal field coils,
before merging to form a spherical tokamak plasma. This start-up method, used
in the Mega-Ampere Spherical Tokamak (MAST), is studied as a high Lundquist
number and low plasma-beta magnetic reconnection experiment.
  In this paper, 2D fluid simulations are presented of this merging process in
order to understand the underlying physics, and better interpret the
experimental data. These simulations examine the individual and combined
effects of tight-aspect ratio geometry and two-fluid physics on the merging.
The ideal self-driven flux-rope dynamics are coupled to the diffusion layer
physics, resulting in a large range of phenomena. For resistive MHD
simulations, the flux-ropes enter the sloshing regime for normalised
resistivity eta < 1E-5. In Hall-MHD three regimes are found for the qualitative
behaviour of the current sheet, depending on the ratio of the current sheet
width to the ion-sound radius. These are a stable collisional regime, an open
X-point regime, and an intermediate regime that is highly unstable to
tearing-type instabilities.
  In toroidal axisymmetric geometry, the final state after merging is a
MAST-like spherical tokamak with nested flux-surfaces. It is also shown that
the evolution of simulated 1D radial density profiles closely resembles the
Thomson scattering electron density measurements in MAST. An intuitive
explanation for the origin of the measured density structures is proposed,
based upon the results of the toroidal Hall-MHD simulations.


title: A method for deterining the mod-$3^k$ behaviour of recursive sequences

abstract:
  We present a method for obtaining congruences modulo powers of 3 for
sequences given by recurrences of finite depth with polynomial coefficients. We
apply this method to Catalan numbers, Motzkin numbers, Riordan numbers,
Schr\"oder numbers, Eulerian numbers, trinomial coefficients, Delannoy numbers,
and to functions counting free subgroups of finite index in the inhomogeneous
modular group and its lifts. This leads to numerous new results, including many
extensions of known results to higher powers of 3.


title:
Engagement in the electoral processes: scaling laws and the role of the
  political positions

abstract:
  We report on a statistical analysis of the engagement in the electoral
processes of all Brazilian cities by considering the number of party
memberships and the number of candidates for mayor and councillor. By
investigating the relationships between the number of party members and the
population of voters, we have found that the functional form of these
relationships are well described by sub-linear power laws (allometric scaling)
surrounded by a multiplicative log-normal noise. We have observed that this
pattern is quite similar to those previously-reported for the relationships
between the number candidates (mayor and councillor) and population of voters
[EPL 96, 48001 (2011)], suggesting that similar universal laws may be ruling
the engagement in the electoral processes. We also note that the power law
exponents display a clear hierarchy, where the more influential is the
political position the smaller is the value of the exponent. We have also
investigated the probability distributions of the number of candidates (mayor
and councilor), party memberships and voters. The results indicate that the
most influential positions are characterized by distributions with very
short-tails, while less influential positions display an intermediate power law
decay before showing an exponential-like cutoff. We discuss that, in addition
to the political power of the position, limitations in the number of available
seats can also be connected with this changing of behavior. We further believe
that our empirical findings point out to an underrepresentation effect, where
the larger city is, the larger are the obstacles for more individuals to become
directly engaged in the electoral process.


title: Parameterized Algorithms for Modular-Width

abstract:
  It is known that a number of natural graph problems which are FPT
parameterized by treewidth become W-hard when parameterized by clique-width. It
is therefore desirable to find a different structural graph parameter which is
as general as possible, covers dense graphs but does not incur such a heavy
algorithmic penalty.
  The main contribution of this paper is to consider a parameter called
modular-width, defined using the well-known notion of modular decompositions.
Using a combination of ILPs and dynamic programming we manage to design FPT
algorithms for Coloring and Partitioning into paths (and hence Hamiltonian path
and Hamiltonian cycle), which are W-hard for both clique-width and its recently
introduced restriction, shrub-depth. We thus argue that modular-width occupies
a sweet spot as a graph parameter, generalizing several simpler notions on
dense graphs but still evading the "price of generality" paid by clique-width.


title:
A q-Hankel transform associated to the quantum linking groupoid for the
  quantum SU(2) and E(2) groups

abstract:
  A q-analogue of Erdelyi's formula for the Hankel transform of the product of
Laguerre polynomials is derived using the quantum linking groupoid between the
quantum SU(2) and E(2) groups. The kernel of the q-Hankel transform is given by
the 1\varphi1-q-Bessel function, and then the transform of a product of two
Wall polynomials times a q-exponential is calculated as a product of two Wall
polynomials times a q-exponential.


title: The fast escaping set for quasiregular mappings

abstract:
  The fast escaping set of a transcendental entire function is the set of all
points which tend to infinity under iteration as fast as compatible with the
growth of the function. We study the analogous set for quasiregular mappings in
higher dimensions and show, among other things, that various equivalent
definitions of the fast escaping set for transcendental entire functions in the
plane also coincide for quasiregular mappings. We also exhibit a class of
quasiregular mappings for which the fast escaping set has the structure of a
spider's web.


title: Scattering amplitudes with off-shell quarks

abstract:
  We present a prescription to calculate manifestly gauge invariant tree-level
scattering amplitudes for arbitrary scattering processes with off-shell
initial-state quarks within the kinematics of high-energy scattering.


title: Finite-size scaling of eigenstate thermalization

abstract:
  According to the eigenstate thermalization hypothesis (ETH), even isolated
quantum systems can thermalize because the eigenstate-to-eigenstate
fluctuations of typical observables vanish in the limit of large systems. Of
course, isolated systems are by nature finite, and the main way of computing
such quantities is through numerical evaluation for finite-size systems.
Therefore, the finite-size scaling of the fluctuations of eigenstate
expectation values is a central aspect of the ETH. In this work, we present
numerical evidence that for generic non-integrable systems these fluctuations
scale with a universal power law $D^{-1/2}$ with the dimension $D$ of the
Hilbert space. We provide heuristic arguments, in the same spirit as the ETH,
to explain this universal result. Our results are based on the analysis of
three families of models, and several observables for each model. Each family
includes integrable members, and we show how the system size where the
universal power law becomes visible is affected by the proximity to
integrability.

categories: cond-mat.stat-mech cond-mat.quant-gas cond-mat.str-el quant-ph


title: Dirac dynamical resonance states around Schwarzschild black holes

abstract:
  Recently, a novel kind of scalar wigs around Schwarzschild black
holes---scalar dynamical resonance states were introduced in [Phys. Rev. D 84,
083008 (2011)] and [Phys. Rev. Lett. 109, 081102 (2012)]. In this paper, we
investigate the existence and evolution of Dirac dynamical resonance states.
First we look for stationary resonance states of a Dirac field around a
Schwarzchild black hole by using the Schr\"{o}dinger-like equations reduced
from the Dirac equation in Schwarzschild spacetime. Then Dirac
pseudo-stationary configurations are constructed from the stationary resonance
states. We use these configurations as initial data and investigate their
numerical evolutions and energy decay. These dynamical solutions are the
so-called "Dirac dynamical resonance states". It is found that the energy of
the Dirac dynamical resonance states shows an exponential decay. The decay rate
of energy is affected by the resonant frequency, the mass of Dirac field, the
total angular momentum, and the spin-orbit interaction. In particular, for
ultra-light Dirac field, the corresponding particles can stay around a
Schwarzschild black hole for a very long time, even for cosmological
time-scales.


title: Gradient type optimization methods for electronic structure calculations

abstract:
  The density functional theory (DFT) in electronic structure calculations can
be formulated as either a nonlinear eigenvalue or direct minimization problem.
The most widely used approach for solving the former is the so-called
self-consistent field (SCF) iteration. A common observation is that the
convergence of SCF is not clear theoretically while approaches with convergence
guarantee for solving the latter are often not competitive to SCF numerically.
In this paper, we study gradient type methods for solving the direct
minimization problem by constructing new iterations along the gradient on the
Stiefel manifold. Global convergence (i.e., convergence to a stationary point
from any initial solution) as well as local convergence rate follows from the
standard theory for optimization on manifold directly. A major computational
advantage is that the computation of linear eigenvalue problems is no longer
needed. The main costs of our approaches arise from the assembling of the total
energy functional and its gradient and the projection onto the manifold. These
tasks are cheaper than eigenvalue computation and they are often more suitable
for parallelization as long as the evaluation of the total energy functional
and its gradient is efficient. Numerical results show that they can outperform
SCF consistently on many practically large systems.


title: The Minimum Number of Hubs in Networks

abstract:
  In this paper, a hub refers to a non-terminal vertex of degree at least
three. We study the minimum number of hubs needed in a network to guarantee
certain flow demand constraints imposed between multiple pairs of sources and
sinks. We prove that under the constraints, regardless of the size or the
topology of the network, such minimum number is always upper bounded and we
derive tight upper bounds for some special parameters. In particular, for two
pairs of sources and sinks, we present a novel path-searching algorithm, the
analysis of which is instrumental for the derivations of the tight upper
bounds.


title: Sources for Generalized Gauge Fields

abstract:
  Generalized gauge fields are tensor fields with mixed symmetries. For gravity
and higher spins in dimensions greater than four, the fundamental field in the
"magnetic representation" is a generalized gauge field. It is shown that the
analog of a point source for a generalized gauge field is a special type of
brane whose worldsheet has another brane interwoven into it: a current within a
current. In the case of gravity in higher dimensions, this combined extended
object is the generalization of a magnetic pole. The Dirac quantization
condition for the "electric" and "magnetic" strengths holds.


title: Composite Self-Concordant Minimization

abstract:
  We propose a variable metric framework for minimizing the sum of a
self-concordant function and a possibly non-smooth convex function, endowed
with an easily computable proximal operator. We theoretically establish the
convergence of our framework without relying on the usual Lipschitz gradient
assumption on the smooth part. An important highlight of our work is a new set
of analytic step-size selection and correction procedures based on the
structure of the problem. We describe concrete algorithmic instances of our
framework for several interesting applications and demonstrate them numerically
on both synthetic and real data.


title:
Revisiting the Light Curves of Gamma-ray Bursts in the Relativistic
  Turbulence Model

abstract:
  Rapid temporal variability has been widely observed in the light curves of
gamma-ray bursts (GRBs). One possible mechanism for such variability is related
to the relativistic eddies in the jet. In this paper, we include the
contribution of the inter-eddy medium together with the eddies to the gamma-ray
emission. We show that the gamma-ray emission can either lead or lag behind the
observed synchrotron emission, where the latter originates in the inter-eddy
medium and provides most of seed photons for producing gamma-ray emission
through the inverse-Compton scattering. As a consequence, we argue that the
lead/lag found in non-stationary short-lived light curves may not reveal the
intrinsic lead/lag of different emission components. In addition, our results
may explain the lead of gamma-ray emission with respect to optical emission
observed in GRB 080319B.


title: Do Intermediate-Mass Black Holes Exist in Globular Clusters?

abstract:
  The existence of intermediate-mass black holes (IMBHs) in globular clusters
(GCs) remains a crucial problem. Searching IMBHs in GCs reveals a discrepancy
between radio observations and dynamical modelings: the upper mass limits
constrained by radio observations are systematically lower than that of
dynamical modelings. One possibility for such a discrepancy is that, as we
suggest in this work, there exist outflows in accretion flows. Our results
indicate that, for most sources, current radio observations cannot rule out the
possibility that IMBHs may exist in GCs. In addition, we adopt an \dot{M}-L_{R}
relation to revisit this issue, which confirms the results obtained by the
Fundamental Plane relation.


title:
Synthesis of the Conventional Phenomenological Theories of
  Superconductivity with Marginal Fermi Liquid Model

abstract:
  In this work we have done phenomenology based model calculations for some of
the thermodynamic and electrodynamic properties of the strongly correlated
superconductors of Cuprate type. The method involves the application of the
theoretical result for electronic specific heat in the normal phase from
Marginal Fermi Liquid theory to the Gorter-Casimir two fluid model to derive
the temperature dependence of the critical magnetic field corresponding to a
type-I system, using the standard variational technique. We also applied this
modified two fluid scheme to the London theory and obtained an expression for
the temperature dependence of the magnetic field penetration depth in the
superconducting phase. Our results are in fairly good agreement with other
theoretical results based on different approaches, as well as with the
experimental results.


title:
Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge
  bundle

abstract:
  We construct some examples of origamis (square-tiled surfaces) such that the
Hodge bundles over the corresponding SL(2,R)-orbits on the moduli space admit
non-trivial isotropic SL(2,R)-invariant subbundles. This answers a question
posed to the authors by A. Eskin and G. Forni.


title:
Can Agent Intelligence be used to Achieve Fault Tolerant Parallel
  Computing Systems?

abstract:
  The work reported in this paper is motivated towards validating an
alternative approach for fault tolerance over traditional methods like
checkpointing that constrain efficacious fault tolerance. Can agent
intelligence be used to achieve fault tolerant parallel computing systems? If
so, "What agent capabilities are required for fault tolerance?", "What parallel
computational tasks can benefit from such agent capabilities?" and "How can
agent capabilities be implemented for fault tolerance?" need to be addressed.
Cognitive capabilities essential for achieving fault tolerance through agents
are considered. Parallel reduction algorithms are identified as a class of
algorithms that can benefit from cognitive agent capabilities. The Message
Passing Interface is utilized for implementing an intelligent agent based
approach. Preliminary results obtained from the experiments validate the
feasibility of an agent based approach for achieving fault tolerance in
parallel computing systems.


title: Moment graphs in representation theory and geometry

abstract:
  This paper reviews the moment graph technique that allows to translate
certain representation theoretic problems into geometric ones. For simplicity
we restrict ourselves to the case of semisimple complex Lie algebras. In
particular, we show how the original Kazhdan-Lusztig conjecture on the
characters of irreducible highest weight representations can be translated into
a multiplicity problem for parity sheaves on the (Langlands dual) flag variety.


title:
Simultaneous effect of Modified Gravity and Primordial Non-Gaussianity
  in Large Scale Structure Observations

abstract:
  In this work we study the simultaneous effect of primordial non-Gaussianity
and the modification of the gravity in $f(R)$ framework on large scale
structure observations. We show that non-Gaussianity and modified gravity
introduce a scale dependent bias and growth rate functions. The deviation from
$\Lambda$CDM in the case of primordial non-Gaussian models is in large scales,
while the growth rate deviates from $\Lambda$CDM in small scales for modified
gravity theories. We show that the redshift space distortion can be used to
distinguish positive and negative $f_{NL}$ in standard background, while in
$f(R)$ theories they are not easily distinguishable. The galaxy power spectrum
is generally enhanced in presence of non-Gaussianity and modified gravity. We
also obtain the scale dependence of this enhancement. Finally we define galaxy
growth rate and galaxy growth rate bias as new observational parameters to
constrain cosmology.


title:
Non-equilibrium finite temperature dynamics of magnetic quantum systems:
  Applications to spin-polarized scanning tunneling microscopy

abstract:
  We calculate the real time non-equilibrium dynamics of quantum spin systems
at finite temperatures. The mathematical framework originates from the
$C^*$-approach to quantum statistical mechanics and is applied to samples
investigated by means of spin-polarized scanning tunneling microscopy. Quantum
fluctuations around thermal equilibrium are analyzed and calculated. The time
averaged expectation values agree with the time averaged experimental data for
magnetization curves. The method is used to investigate the dynamics of a
sample for shorter times than the resolution time of the experimental setup.
Furthermore, predictions for relaxation times of single spins on metallic and
semiconductor surfaces are made. To check the validity of our model we compare
our results with experimental data obtained from Fe adatoms on InSb and Co
adatoms on Pt(111) and find good agreement. Approximated thermalization is
found numerically for the expectation values of the spin operators.


title: Work Breakdown Structure: A Tool for Software Project Scope Verification

abstract:
  Software project scope verification is a very important process in project
scope management and it needs to be performed properly and thoroughly so as to
avoid project rework and scope creep. Moreover, software scope verification is
crucial in the process of delivering exactly what the customer requested and
minimizing project scope changes. Well defined software scope eases the process
of scope verification and contributes to project success. Furthermore, a
deliverable-oriented WBS provides a road map to a well defined software scope
of work. It is on the basis of this that this paper extends the use of
deliverable-oriented WBS to that of scope verification process. This paper
argues that a deliverable-oriented WBS is a tool for software scope
verification.


title: Signature transition in Einstein-Cartan cosmology

abstract:
  In the context of Einstein-Cartan theory of gravity, we consider a
Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model with Weyssenhoff
perfect fluid. We focus attention on those classical solutions that admit a
degenerate metric in which the scale factor has smooth behavior in the
transition from a Euclidean to a Lorentzian domain. It is shown that the
spin-spin contact interaction enables one to obtain such a signature changing
solutions due to the Riemann-Cartan ($U_4$) structure of space-time.


title:
Weak transcendental holomorphic Morse inequalities on compact K\"ahler
  manifolds

abstract:
  Transcendental holomorphic Morse inequalities aim at characterizing the
positivity of transcendental cohomology classes of type $(1,1)$. In this paper,
we prove a weak version of Demailly's conjecture on transcendental Morse
inequalities on compact K\"ahler manifolds. And as a consequence, we partially
improve a result of Boucksom-Demailly-Paun-Peternell.


title: Statistics of quantum transport in weakly non-ideal chaotic cavities

abstract:
  We consider statistics of electronic transport in chaotic cavities where
time-reversal symmetry is broken and one of the leads is weakly non-ideal, i.e.
it contains tunnel barriers characterized by tunneling probabilities
$\Gamma_i$. Using symmetric function expansions and a generalized Selberg
integral, we develop a systematic perturbation theory in $1-\Gamma_i$ valid for
arbitrary number of channels, and obtain explicit formulas up to second order
for the average and variance of the conductance, and for the average
shot-noise. Higher moments of the conductance are considered to leading order.

categories: cond-mat.mes-hall cond-mat.stat-mech math-ph math.MP quant-ph