title:
Super duality and Crystal bases for quantum orthosymplectic
  superalgebras II

abstract:
  Let $\mathcal{O}^{int}_q(m|n)$ be a semisimple tensor category of modules
over a quantum ortho-symplectic superalgebra of type $B, C, D$ introduced in
the author's previous work. It is a natural counterpart of the category of
finitely dominated integrable modules over a quantum group of type $B, C, D$
from a viewpoint of super duality. Continuing the previous work on type $B$ and
$C$, we classify the irreducible modules in $\mathcal{O}^{int}_q(m|n)$, and
prove the existence and uniqueness of their crystal bases in case of type $D$.
A new combinatorial model of classical crystals of type $D$ is introduced,
whose super analogue gives a realization of crystals for the highest weight
modules in $\mathcal{O}^{int}_q(m|n)$.


title: How do life, economy and other complex systems escape the heat death?

abstract:
  The primordial confrontation underlying the existence of our universe can be
conceived as the battle between entropy and complexity. The law of
ever-increasing entropy (Boltzmann H-theorem) evokes an irreversible,
one-directional evolution (or rather involution) going uniformly and
monotonically from birth to death. Since the 19th century, this concept is one
of the cornerstones and in the same time puzzles of statistical mechanics. On
the other hand, there is the empirical experience where one witnesses the
emergence, growth and diversification of new self-organized objects with
ever-increasing complexity. When modeling them in terms of simple discrete
elements one finds that the emergence of collective complex adaptive objects is
a rather generic phenomenon governed by a new type of laws. These 'emergence'
laws, not connected directly with the fundamental laws of the physical reality,
nor acting 'in addition' to them but acting through them were called by Phil
Anderson 'More is Different', 'das Maass' by Hegel etc. Even though the
'emergence laws' act through the intermediary of the fundamental laws that
govern the individual elementary agents, it turns out that different systems
apparently governed by very different fundamental laws: gravity, chemistry,
biology, economics, social psychology, end up often with similar emergence laws
and outcomes. In particular the emergence of adaptive collective objects endows
the system with a granular structure which in turn causes specific macroscopic
cycles of intermittent fluctuations.


title: Actions of Right-Angled Coxeter Groups on the Croke Kleiner Spaces

abstract:
  It is an open question whether right-angled Coxeter groups have unique
group-equivariant visual boundaries. Croke and Kleiner present a right-angled
Artin group with more than one visual boundary. In this paper we present a
right-angled Coxeter group with non-unique equivariant visual boundary. The
main theorem is that if right-angled Coxeter groups act geometrically on a
Croke-Kleiner spaces, then the local angles in those spaces all have to be
right angles. We present a specific right-angled Coxeter group with non-unique
equivariant visual boundary. However, we conjecture that the right an- gled
Coxeter groups that can act geometrically on a given CAT(0) space are far from
unique.


title:
Polarization dependence of double resonant Raman scattering band in
  bilayer graphene

abstract:
  The polarization dependence of the double resonant Raman scattering (2D) band
in bilayer graphene (BLG) is studied as a function of the excitation laser
energy. It has been known that the complex shape of the 2D band of BLG can be
decomposed into four Lorentzian peaks with different Raman frequency shifts
attributable to four individual scattering paths in the energy-momentum space.
From our polarization dependence study, however, we reveal that each of the
four different peaks is actually doubly degenerate in its scattering channels,
i.e., two different scattering paths with similar Raman frequency shifts for
each peak. We find theoretically that one of these two paths, ignored for a
long time, has a small contribution to their scattering intensities but are
critical in understanding their polarization dependences. Because of this, the
maximum-to-minimum intensity ratios of the four peaks show a strong dependence
on the excitation energy, unlike the case of single-layer graphene (SLG). Our
findings thus reveal another interesting aspect of electron-phonon interactions
in graphitic systems.


title: Harmonic measure in the presence of a spectral gap

abstract:
  We study harmonic measure in finite graphs with an emphasis on expanders,
that is, positive spectral gap. It is shown that if the spectral gap is
positive then for all sets that are not too large the harmonic measure from a
uniform starting point is not more than a constant factor of the uniform
measure on the set. For large sets there is a tight logarithmic correction
factor. We also show that positive spectral gap does not allow for a fixed
proportion of the harmonic measure of sets to be supported on small subsets, in
contrast to the situation in Euclidean space. The results are quantitative as a
function of the spectral gap, and apply also when the spectral gap decays to 0
as the size of the graph grows to infinity. As an application we consider a
model of diffusion limited aggregation, or DLA, on finite graphs, obtaining
upper bounds on the growth rate of the aggregate.


title: UML Artifacts Reuse: State of the Art

abstract:
  The benefits that can be derived from reusing software include accelerated
development, reduced cost, reduced risk and effective use of specialists. Reuse
of software artifacts during the initial stages of software development
increases reuse benefits, because it allows subsequent reuse of later stage
artifacts derived from earlier artifacts. UML is the de facto modeling language
used by software developers during the initial stages of software development
such as requirements engineering, architectural and detailed design. This
survey analyzes previous works on UML artifacts reuse. The analysis considers
four perspectives: retrieval method, artifact support, tool support and
experiments performed. As an outcome of the analysis, some suggestions for
future work on UML artifacts reuse are also provided


title: Dynamical Correspondence in a Generalized Quantum Theory

abstract:
  In order to figure out why quantum physics needs the complex Hilbert space,
many attempts have been made to distinguish the C*-algebras and von Neumann
algebras in more general classes of abstractly defined Jordan algebras (JB- and
JBW-algebras). One particularly important distinguishing property was
identified by Alfsen and Shultz and is the existence of a dynamical
correspondence. It reproduces the dual role of the selfadjoint operators as
observables and generators of dynamical groups in quantum mechanics. In the
paper, this concept is extended to another class of nonassociative algebras,
arising from recent studies of the quantum logics with a conditional
probability calculus and particularly of those that rule out third-order
interference. The conditional probability calculus is a mathematical model of
the Lueders-von Neumann quantum measurement process, and third-order
interference is a property of the conditional probabilities which was
discovered by R. Sorkin in 1994 and which is ruled out by quantum mechanics. It
is shown then that the postulates that a dynamical correspondence exists and
that the square of any algebra element is positive still characterize, in the
class considered, those algebras that emerge from the selfadjoint parts of
C*-algebras equipped with the Jordan product. Within this class, the two
postulates thus result in ordinary quantum mechanics using the complex Hilbert
space or, vice versa, a genuine generalization of quantum theory must omit at
least one of them.


title: A Generalized Quantum Theory

abstract:
  In quantum mechanics, the selfadjoint Hilbert space operators play a triple
role as observables, generators of the dynamical groups and statistical
operators defining the mixed states. One might expect that this is typical of
Hilbert space quantum mechanics, but it is not. The same triple role occurs for
the elements of a certain ordered Banach space in a much more general theory
based upon quantum logics and a conditional probability calculus (which is a
quantum logical model of the Lueders-von Neumann measurement process). It is
shown how positive groups, automorphism groups, Lie algebras and statistical
operators emerge from one major postulate - the non-existence of third-order
interference (third-order interference and its impossibility in quantum
mechanics were discovered by R. Sorkin in 1994). This again underlines the
power of the combination of the conditional probability calculus with the
postulate that there is no third-order interference. In two earlier papers, its
impact on contextuality and nonlocality had already been revealed.


title: A framework for reuse of multi-view UML artifacts

abstract:
  Software is typically modeled from different viewpoints such as structural
view, behavioral view and functional view. Few existing works can be considered
as applying multi-view retrieval approaches. A number of important issues
regarding mapping of entities during multi-view retrieval of UML models is
identified in this study. In response, we describe a framework for reusing UML
artifacts, and discuss how our retrieval approach tackles the identified
issues.


title:
In-medium modified energy-momentum tensor form factors of the nucleon
  within the framework of a $\pi$-$\rho$-$\omega$ soliton model

abstract:
  We investigate the energy-momentum tensor form factors of the nucleon in
nuclear medium, based on an in-medium modified $\pi$-$\rho$-$\omega$ soliton
model, with medium modifications of the mesons considered. The results allow us
to establish general features of medium modifications of the structure of
nucleons bound in a nuclear medium.


title: Laguerre polynomials method in the valon model

abstract:
  We used the Laguerre polynomials method for determination of the proton
structure function in the valon model. We have examined the applicability of
the valon model with respect to a very elegant method, where the structure of
the proton is determined by expanding valon distributions and valon structure
functions on Laguerre polynomials. We compared our results with the
experimental data, GJR parameterization and DL model. Having checked, this
method gives a good description for the proton structure function in valon
model.


title:
Longitudinal Structure Function $F_{L}$ from Charm Structure Function
  $F^{c}_{2}$

abstract:
  We predict the effect of the charm structure function on the longitudinal
structure function at small x. In NLO analysis we find that the hard Pomeron
behavior gives a good description of $F_{L}$ and $F^{c}_{k}$ (k = 2,L) at small
x values. We conclude that a direct relation between $F_{L}/F^{c}_{2}$ would
provide useful information on how to measure longitudinal structure function at
high $Q^{2}$ values. Having checked that this model gives a good description of
the data, when compared with other models.


title:
Decoupling of the DGLAP evolution equations at next-to-next-to-leading
  order (NNLO) at low-x

abstract:
  We present a set of formulas to extract two second-order independent
differential equations for the gluon and singlet distribution functions. Our
results extend from the LO up to NNLO DGLAP evolution equations with respect to
the hard-Pomeron behavior at low-x. In this approach, both singlet quarks and
gluons have the same high-energy behavior at low-x. We solve the independent
DGLAP evolution equations for the functions $F^{s}_{2}(x,Q^{2})$ and
$G(x,Q^{2})$ as a function of their initial parameterization at the starting
scale $Q^{2}_{0}$ . The results not only give striking support to the
hard-Pomeron description of the low-x behavior, but give a rather clean test of
perturbative QCD showing an increase of the gluon distribution and singlet
structure functions as x decreases. We compared our numerical results with the
published BDM (Block et al. Phys. Rev. D 77:094003 (2008)) gluon and singlet
distributions, starting from their initial values at $Q^{2}_{0} =1 GeV^{2}$.


title:
The predictions of the charm structure function exponents behaviour at
  low x in deep inelastic scattering

abstract:
  We use the hard (Lipatov) pomeron for the low-x gluon distribution and
provide a compact formula for the ratio $R^{c} =F_{L}^{c}/F_{2}^{c}$ that is
useful to extract the charm structure function from the reduced charm
cross-section, in particular at DESY HERA. Our results show that this ratio is
independent of x and independent of the DGLAP evolution of the gluon PDF. As a
result, we show that the charm structure function and the reduced charm
cross-section exponents do not have the same behaviour at very low x. This
difference is independent of the input gluon distribution functions and
predicts the non-linear effects and some evidence for shadowing and
antishadowing at HERA and RHIC.


title:
NLO corrections to the hard pomeron behavior of the charm structure
  functions $F^{c}_{k} (k = 2,L)$ at low x

abstract:
  We show that the charm structure functions $F^{c}_{k}$ have a hard pomeron
behavior at low x, as the gluon distribution is dominated by the hard (Lipatov)
pomeron at small x and all $Q^{2}$ values. It is shown that the charm structure
functions obtained, using the gluon distribution functions, are in agreement
with data from HERA in the next-to-leading analysis (NLO). Having checked that
this behavior gives the charm structure functions exponent independent of x.
With respect to the hard (Lipatov) pomeron for the low-x gluon distribution, we
provide a compact formula for the ratio $R^{c} = F^{c}_{L}/F^{c}_{2}$ that is
approximately independent of x at low x and its independent of the input gluon
distribution function at all $Q^{2}$ values.


title:
The Ratio of the Charm Structure Functions $F^{c}_{k}(k = 2, L)$ at Low
  x in Deep Inelastic Scattering with Respect to the Expansion Method

abstract:
  We study the expansion method for the gluon distribution function at low x
values and calculate the charm structure functions in the LO and NLO analysis.
Our results provide a compact formula for the ratio $R^{c}
=F^{c}_{L}/F^{c}_{2}$, which is approximately independent of x and the details
of the parton distribution function at low x values. This ratio could be a good
probe of the charm structure function $F^{c}_{2}$ in the proton deduced from
the reduced charm cross sections at DESY HERA. These results show that the
charm structure functions obtained are in agreement with HERA experimental data
and other theoretical models.


title:
Thermal conductivity of group-IV Semiconductors from a
  Kinetic-Collective Model

abstract:
  The thermal conductivity of several diamond-like materials is calculated from
a kinetic-collective model. From this approach, a thermal conductivity
expression is obtained that includes a transition from a kinetic (free) to a
collective (hydrodynamic) behavior of the phonon field. The expression contains
only three parameters. Once fitted to natural occurring silicon, the same
parameters for the other materials are directly calculated from theoretical
relations. The results are in good agreement with experimental data.


title: $a$-Points of the Riemann zeta-function on the critical line

abstract:
  We investigate the proportion of the nontrivial roots of the equation $\zeta
(s)=a$, which lie on the line $\Re s=1/2$ for $a \in \mathbb C$ not equal to
zero. We show that at most one-half of these points lie on the line $\Re
s=1/2$. Moreover, assuming a spacing condition on the ordinates of zeros of the
Riemann zeta-function, we prove that zero percent of the nontrivial solutions
to $\zeta (s)=a$ lie on the line $\Re s=1/2$ for any nonzero complex number
$a$.


title: Collaborative Receptive Field Learning

abstract:
  The challenge of object categorization in images is largely due to arbitrary
translations and scales of the foreground objects. To attack this difficulty,
we propose a new approach called collaborative receptive field learning to
extract specific receptive fields (RF's) or regions from multiple images, and
the selected RF's are supposed to focus on the foreground objects of a common
category. To this end, we solve the problem by maximizing a submodular function
over a similarity graph constructed by a pool of RF candidates. However,
measuring pairwise distance of RF's for building the similarity graph is a
nontrivial problem. Hence, we introduce a similarity metric called
pyramid-error distance (PED) to measure their pairwise distances through
summing up pyramid-like matching errors over a set of low-level features.
Besides, in consistent with the proposed PED, we construct a simple
nonparametric classifier for classification. Experimental results show that our
method effectively discovers the foreground objects in images, and improves
classification performance.


title: Occupation times on a comb with ramified teeth

abstract:
  We investigate occupation time statistics for random walks on a comb with
ramified teeth. This is achieved through the relation between the occupation
time and the first passage times. Statistics of occupation times in half space
follows Lamperti's distribution, i.e. the generalized arcsine law holds.
Transitions between different behaviors are observed, which are controlled by
the size of the backbone and teeth of the comb, as well as bias. Occupation
time on a non-simply connected domain is analyzed with a mean-field theory and
numerical simulations. In that case, the generalized arcsine law isn't valid.


title:
Modeling and Optimization of Genetic Screens via RNA Interference and
  FACS

abstract:
  We study mathematically a method for discovering which gene is related to a
cell phenotype of interest. The method is based on RNA interference -- a
molecular process for gene deactivation -- and on coupling the phenotype with
fluorescence in a FACS machine. A small number of candidate genes are thus
isolated, and then tested individually. We model probabilistically this
process, prove a limit theorem for its outcome, and derive operational
guidelines for maximizing the probability of successful gene discovery.


title:
Analytical solution of the longitudinal structure function $F_{L}$ in
  the leading and next-to-leading-order analysis at low x with respect to
  Laguerre polynomials method

abstract:
  The aim of the present paper is to apply the Laguerre polynomials method for
the analytical solution of the Altarelli- Martinelli equation. We use this
method of the low $x$ gluon distribution to the longitudinal structure function
using MRST partons as input. Having checked that this model gives a good
description of the data to predict of the longitudinal structure function at
leading and next to leading order analysis at low $x$


title:
Solutions of Independent DGLAP Evolution Equations for the Gluon
  Distribution and Singlet Structure Functions in the Next-to-Leading Order at
  Low x

abstract:
  We present a set of independent formulae to extract the gluon distribution
and singlet structure function from its derivatives with respect to $lnQ^{2}$
in the next- to- leading order of perturbation theory at low-$x$ based on a
hard pomeron exchange. In this approach, both singlet quarks and gluons have
the same high-energy behavior at small $x$. This approach needs the QCD input
parameterizations for a independent DGLAP evolutions that we calculated
numerically and compared with MRST, GRV and DL model- the Pomeron has a hard
nature. Its evolution gives a good fit to the experimental data. The obtained
values are in the range
$10^{-4}\hspace{0.1cm}{\leq}\hspace{0.1cm}x\hspace{0.1cm}{\leq}10^{-2}$ at
$Q^{2}=20 \hspace{0.1cm}GeV^{2}$.


title:
Aqueous alteration on main belt primitive asteroids: results from
  visible spectroscopy

abstract:
  This work focuses on the study of the aqueous alteration process which acted
in the main belt and produced hydrated minerals on the altered asteroids. The
aqueous alteration is particularly important for unraveling the processes
occurring during the earliest times of the Solar System history, as it can give
information both on the asteroids thermal evolution and on the localization of
water sources in the asteroid belt. We present new spectral observations in the
visible region of 80 asteroids belonging to the primitive classes C, G, F, B
and P. We combine the present observations with the visible spectra of
asteroids available in the literature for a total of 600 primitive main belt
asteroids. Our analysis shows that the aqueous alteration sequence starts from
the P-type objects, practically unaltered, and increases through the F, B, C,
and G asteroids. Around 50% of the observed C-type asteroids show absorption
features in the vis. range due to hydrated silicates, implying that more than
70% of them will have a 3 $\mu$m absorption band and thus hydrated minerals on
their surfaces. The process dominates in primitive asteroids located between
2.3 and 3.1 AU, that is at smaller heliocentric distances than previously
suggested. The aqueous alteration process dominates in the 50--240 km sized
primitive asteroids, while it is less effective for bodies smaller than 50 km.
No correlation is found between the aqueous alteration process and the
asteroids albedo or orbital elements. Comparing the $\sim$ 0.7 $\mu$m band
parameters of hydrated silicates and CM2 carbonaceous chondrites, we see that
the band center of meteorites is at longer wavelengths than that of asteroids.
This difference on center positions may be attributed to different minerals
abundances, and to the fact that CM2 available on Earth might not be
representative of the whole aqueous altered asteroids population.


title:
Minsky Financial Instability, Interscale Feedback, Percolation and
  Marshall-Walras Disequilibrium

abstract:
  We study analytically and numerically Minsky instability as a combination of
top-down, bottom-up and peer-to-peer positive feedback loops. The peer-to-peer
interactions are represented by the links of a network formed by the
connections between firms, contagion leading to avalanches and percolation
phase transitions propagating across these links. The global parameter in the
top-bottom, bottom-up feedback loop is the interest rate. Before the Minsky
moment, in the Minsky Loans Accelerator stage, the relevant bottom parameter
representing the individual firms micro-states is the quantity of loans. After
the Minsky moment, in the Minsky Crisis Accelerator stage, the relevant bottom
parameters are the number of ponzi units / quantity of failures, defaults. We
represent the top-bottom, bottom-up interactions on a plot similar to the
Marshal-Walras diagram for quantity-price market equilibrium (where the
interest rate is the analog of the price). The Minsky instability is then
simply emerging as a consequence of the fixed point (the intersection of the
supply and demand curves) being unstable (repulsive). In the presence of
network effects, one obtains more than one fixed point and a few dynamic
regimes (phases). We describe them and their implications for understanding,
predicting and steering economic instability.


title:
Computing the local metric dimension of a graph from the local metric
  dimension of primary subgraphs

abstract:
  For an ordered subset $W = \{w_1, w_2,\dots w_k\}$ of vertices and a vertex
$u$ in a connected graph $G$, the representation of $u$ with respect to $W$ is
the ordered $k$-tuple $ r(u|W)=(d(v,w_1), d(v,w_2),\dots,$ $d(v,w_k))$, where
$d(x,y)$ represents the distance between the vertices $x$ and $y$. The set $W$
is a local metric generator for $G$ if every two adjacent vertices of $G$ have
distinct representations. A minimum local metric generator is called a
\emph{local metric basis} for $G$ and its cardinality the \emph{local metric
dimension} of G. We show that the computation of the local metric dimension of
a graph with cut vertices is reduced to the computation of the local metric
dimension of the so-called primary subgraphs. The main results are applied to
specific constructions including bouquets of graphs, rooted product graphs,
corona product graphs, block graphs and chain of graphs.


title:
Analysis of the logarithmic slope of $F_{2}$ from the Regge gluon
  density behavior at small $x$

abstract:
  We study of the accuracy of the Regge behavior of the gluon distribution
function for obtain an approximation relation, which is frequently used to
extract the logarithmic slopes of the structure function from the gluon
distribution at small $x$. We show that the Regge behavior analysis results are
comparable with HERA data and also are better than other methods that expand of
the gluon density at distinct points of expansion. Also we show that for
$Q^{2}=22.4 GeV^{2}$, the $x$ dependence of the data is well described by gluon
shadowing corrections to GLR-MQ equation. The resulting analytic expression
allow us to predict the logarithmic derivative
$\frac{{\partial}F_{2}(x,Q^{2})}{{\partial}lnQ^{2}}$ and to compare the results
with H1 data and a QCD analysis fit with MRST parametrization input.


title: Intrinsic Stratifications of Analytic Varieties

abstract:
  By attaching a Lie algebra of germs of analytic vector fields to every point
of a (real or complex) analytic variety V we construct the Nagano foliation of
the variety. We prove that the Nagano foliation of V is a stratification. The
treatment of the subject is totally coordinate free but relies on the
Oka-Cartan-Serre theory of coherent analytic sheaves.


title:
Probes for 4th generation constituents of dark atoms in Higgs boson
  studies at the LHC

abstract:
  The nonbaryonic dark matter of the Universe can consist of new stable charged
species, bound in heavy neutral "atoms" by ordinary Coulomb interaction. Stable
$\bar U$ (anti-$U$)quarks of 4th generation, bound in stable colorless ($\bar U
\bar U \bar U $) clusters, are captured by the primordial helium, produced in
Big Bang Nucleosynthesis, thus forming neutral "atoms" of O-helium (OHe), a
specific nuclear interacting dark matter that can provide solution for the
puzzles of direct dark matter searches. However, the existence of the 4th
generation quarks and leptons should influence the production and decay rates
of Higgs boson and is ruled out by the experimental results of the Higgs boson
searches at the LHC, if the Higgs boson coupling to 4th generation fermions
with is not suppressed. Here we argue that the difference between the three
known quark-lepton families and the 4th family can naturally lead to
suppression of this coupling, relating the accelerator test for such a
composite dark matter scenario to the detailed study of the production and
modes of decay of the 125.5 GeV boson, discovered at the LHC.


title: Dark Atoms and Puzzles of Dark Matter Searches

abstract:
  The nonbaryonic dark matter of the Universe is assumed to consist of new
stable forms of matter. Their stability reflects symmetry of micro world and
particle candidates for cosmological dark matter are the lightest particles
that bear new conserved quantum numbers. Dark matter candidates can appear in
the new families of quarks and leptons and the existence of new stable charged
leptons and quarks is possible, if they are hidden in elusive "dark atoms".
Such possibility, strongly restricted by the constraints on anomalous isotopes
of light elements, is not excluded in scenarios that predict stable double
charged particles. The excessive -2 charged particles are bound in these
scenarios with primordial helium in O-helium "atoms", maintaining specific
nuclear-interacting form of the dark matter, which may provide an interesting
solution for the puzzles of the direct dark matter searches.


title: The exponentiated exponential Poisson distribution revisited

abstract:
  The main aim of this article is to characterize and investigate the three
parameter exponentiated exponential Poisson probability distribution ${\rm
EEP}(\alpha, \beta, \lambda)$ by giving explicit closed form expressions for
its characteristic function $\phi_\xi(t)$ and moment generating function
$M_\xi(t)$, and finally, to show that the existing series and integral form
expressions for positive integer order moments $\mathbb E\xi^\nu, \nu \in
\mathbb N$ are in fact valid for all $\nu>1-\alpha, \alpha>0$.


title:
A Compound Poisson Convergence Theorem for Sums of $m$-Dependent
  Variables

abstract:
  We prove the Simons-Johnson theorem for the sums $S_n$ of $m$-dependent
random variables, with exponential weights and limiting compound Poisson
distribution $\CP(s,\lambda)$. More precisely, we give sufficient conditions
for $\sum_{k=0}^\infty\ee^{hk}\ab{P(S_n=k)-\CP(s,\lambda)\{k\}}\to 0$ and
provide an estimate on the rate of convergence. It is shown that the
Simons-Johnson theorem holds for weighted Wasserstein norm as well. %limiting
sum of two Poisson variables defined on %different lattices. The results are
then illustrated for $N(n;k_1,k_2)$ and $k$-runs statistics.


title:
L-packets and depth for SL_2(K) with K a local function field of
  characteristic 2

abstract:
  Let G = SL_2(K) with K a local function field of characteristic 2. We review
Artin-Schreier theory for the field K, and show that this leads to a
parametrization of certain L-packets in the smooth dual of G. We relate this to
a recent geometric conjecture. The L-packets in the principal series are
parametrized by quadratic extensions, and the supercuspidal L-packets of
cardinality 4 are parametrized by biquadratic extensions. Each supercuspidal
packet of cardinality 4 is accompanied by a singleton packet for SL_1(D). We
compute the depths of the irreducible constituents of all these L-packets for
SL_2(K) and its inner form SL_1(D).


title:
Continuous variable versus hybrid schemes for quantum teleportation of
  Gaussian states

abstract:
  In this paper, we examine and compare two fundamentally different
teleportation schemes; the well-known continuous variable scheme by Vaidman,
Braunstein and Kimble (VBK), and a recently proposed hybrid scheme by Andersen
and Ralph (AR). We analyze the teleportation of ensembles of arbitrary pure
single-mode Gaussian states using these schemes and see how they fare against
the optimal measure-and-prepare strategies -- the benchmarks. In the VBK case,
we allow for non-unit gain tuning and consider a class of possibly non-Gaussian
resources in order to optimize performance. The results suggest that the AR
scheme may likely be a more suitable candidate for beating the benchmarks in
the teleportation of squeezing, capable of achieving this for moderate
resources in comparison to the VBK scheme. Moreover, our quantification of
resources, whereby different protocols are compared at fixed values of the
entanglement entropy or the mean energy of the resource states, brings into
question any advantage due to non-Gaussianity for quantum teleportation of
Gaussian states.


title: On universal enveloping algebras in a topological setting

abstract:
  We establish the exponential law for suitably topologies on spaces of
vector-valued smooth functions on topological groups, where smoothness is
defined by using differentiability along continuous one-parameter subgroups. As
an application, we investigate the canonical correspondences between the
universal enveloping algebra, the invariant local operators, and the
convolution algebra of distributions supported at the unit element of any
finite-dimensional Lie group, when one passes from finite-dimensional Lie
groups to pre-Lie groups. The latter class includes for instance any locally
compact groups, Banach-Lie groups, additive groups underlying locally convex
vector spaces, and also mapping groups consisting of rapidly decreasing Lie
group-valued functions.


title: A Model for Overscreened Kondo Effect in Ultracold Fermi Gas

abstract:
  The feasibility of realizing overscreened Kondo effect in ultra-cold Fermi
gas of atoms with spin $s \ge \tfrac{3}{2}$ in the presence of a localized
magnetic impurity atom is proved realistic. Specifying to a system of ultra
cold $^{22}$Na Fermi gas and a trapped $^{197}$Au impurity, the mechanism of
exchange interaction between the Na and Au atoms is elucidated and the exchange
constant is found to be antiferromagnetic. The corresponding exchange
Hamiltonian is derived, and the Kondo temperature is estimated at the order of
$ 1 \mu$K.
  Within a weak-coupling renormalization group scheme, it is shown that the
coupling renormalizes to the non-Fermi liquid fixed point.


title: Clausius vs. Boltzmann-Gibbs entropies

abstract:
  In this work, we demonstrate the inappropriateness of the Boltzmann-Gibbs
log-formulation of the physical Clausius entropy $S$ in connecting
thermodynamics and phase space statistics. To achieve our goal, we study
thermodynamically the simple case of ideal gases embedded in a finite heat bath
and compare the derived equations with the phase space statistical ones
obtained within the canonical ensemble. We then show that the results of the
aforementioned approaches contradict to each other even in the dilute gas limit
(infinite heat bath) if we request the identification of the Boltmann-Gibbs
formula $\ln(Density\,\, of\,\, States)$ with the thermodynamic entropy $S$.


title:
Bound states in a double delta potential via Fourier sine and cosine
  transforms

abstract:
  The problem of bound states in a double delta potential is revisited by means
of Fourier sine and cosine transforms


title:
Invariant Differential Operators for Non-Compact Lie Groups: the Reduced
  SU(4,4) Multiplets

abstract:
  In the present paper we continue the project of systematic construction of
invariant differential operators on the example of the non-compact algebras
$su(n,n)$. Earlier were given the main multiplets of indecomposable elementary
representations for $n\leq 4$, and the reduced ones for $n=2,3$. Here we give
all reduced multiplets containing physically relevant representations including
the minimal ones for $n=4$. Due to the recently established parabolic relations
the results are valid also for the algebras $sl(8,\mathbb{R})$ and $su^*(8)$
with suitably chosen maximal parabolic subalgebras.


title: Nano tracks in fullerene film by dense electronic excitations

abstract:
  In the present work, we investigate the formation of nano tracks by cluster
and mono-atomic ion beams in the fullerene (C60) thin films by High Resolution
Transmission Electron Microscopy (HRTEM). The fullerene films on carbon coated
grids were irradiated by 30 MeV C60 cluster beam and 120 MeV Au mono-atomic
beams at normal and grazing angle to the incident ion beams. The studies show
that the cluster beam creates latent tracks of an average diameter of around 20
nm. The formation of large size nano tracks by cluster beam is attributed to
the deposition of large electronic energy density as compared to mono-atomic
beams.


title:
Infinitesimal Torelli Theorem for regular surfaces with very ample
  canonical divisor

abstract:
  The article proves the Infinitesimal Torelli theorem for surfaces subject to
the following conditions:
  1) the canonical bundle of a surface is ample and generated by its global
sections,
  2)the geometric genus $p_g \geq 4$,
  3) the irregularity $q=0$ .
  The main novelty is a realization of the Kodaira-Spencer classes lying in the
kernel of the cohomology cup-product controlling the derivative of the period
map of weight 2 in the category of the coherent sheaves of a surface.


title: Fluctuations and correlations in nonequilibrium systems

abstract:
  Nonequilibrium systems exchange the energy with an environment in the form of
work and heat. The work done on a system obeys the fluctuation theorem, while
the dissipated heat which differs from the work by the internal energy change
does not. We derive the modified fluctuation relation for the heat in the
overdamped Langevin system. It shows that mutual correlations among the work,
the heat, and the internal energy change are responsible for the different
fluctuation property of the work and the heat. The mutual correlation is
investigated in detail in a two-dimensional linear diffusion system. We develop
an analytic method which allows one to calculate the large deviation function
for the joint probability distributions. We find that the heat and the internal
energy change have a negative correlation, which explains the reason for the
breakdown of the fluctuation theorem for the heat.


title:
Superbubble evolution in disk galaxies, I. Study of blow-out by
  analytical models

abstract:
  Galactic winds are a common phenomenon in starburst galaxies in the local
universe as well as at higher redshifts. Their sources are superbubbles driven
by sequential supernova explosions in star forming regions, which carve out
large holes in the interstellar medium and eject hot, metal enriched gas into
the halo and to the galactic neighborhood. We investigate the evolution of
superbubbles in exponentially stratified disks. We present advanced analytical
models for the expansion of such bubbles and calculate their evolution in space
and time. With these models one can derive the energy input that is needed for
blow-out of superbubbles into the halo and derive the break-up of the shell,
since Rayleigh-Taylor instabilities develop soon after a bubble starts to
accelerate into the halo. The approximation of Kompaneets is modified in order
to calculate velocity and acceleration of a bubble analytically. Our new model
differs from earlier ones, because it presents for the first time an analytical
calculation for the expansion of superbubbles in an exponential density
distribution driven by a time-dependent energy input rate. The time-sequence of
supernova explosions of OB-stars is modeled using their main sequence lifetime
and an initial mass function. We calculate the morphology and kinematics of
superbubbles powered by three different kinds of energy input and we derive the
energy input required for blow-out as a function of the density and the scale
height of the ambient interstellar medium. The Rayleigh-Taylor instability
timescale in the shell is calculated in order to estimate when the shell starts
to fragment and finally breaks up. Analytical models are a very efficient tool
for comparison to observations, like e.g. the Local Bubble and the W4 bubble
discussed in this paper, and also give insight into the dynamics of superbubble
evolution.


title: Ring polymers with topological constraints

abstract:
  In the first part of this work a summary is provided of some recent
experiments and theoretical results which are relevant in the research of
systems of polymer rings in nontrivial topological conformations. Next, some
advances in modeling the behavior of single polymer knots are presented. The
numerical simulations are performed with the help of the Wang-Landau Monte
Carlo algorithm. To sample the polymer conformation a set of random
transformations called pivot moves is used. The crucial problem of preserving
the topology of the knots after each move is tackled with the help of two new
techniques which are briefly explained. As an application, the results of an
investigation of the effects of topology on the thermal properties of polymer
knots is reported. In the end, original results are discussed concerning the
use of parallelized codes to study polymers knots composed by a large number of
segments within the Wang-Landau approach.


title: Improved Bounds for Relaxed Graceful Trees

abstract:
  We introduce left and right-layered trees as trees with a specific
representation and define the excess of a tree. Applying these ideas, we show a
range-relaxed graceful labeling which improves on the upper bound for maximum
vertex label given by Van Bussel. For the case when the tree is a lobster of
size $m$ and diameter $d$, the labeling produces vertex labels no greater than
$\frac{3}{2}m-\frac{1}{2}d$. Furthermore, we show that any lobster $T$ with $m$
edges and diameter $d$ has an edge-relaxed graceful bipartite labeling with at
least $\max\{\frac{3m-d+6}{4},\frac{5m+d+15}{8}\}$ of the edge weights
distinct, which is an improvement on a bound given by Rosa and
\v{S}ir\'{a}\v{n} on the $\alpha$-size of trees, for $d<\frac{m+22}{7}$ and
$d>\frac{5m-65}{7}$. We also show that there exists an edge-relaxed graceful
labeling (not necessarily bipartite) with at least
$\max\left\{\frac{3}{4}m+\frac{d-\nu}{8}+\frac{3}{2},\nu\right\}$ of the edge
weights distinct, where $\nu$ is twice the size of a partial matching of $T$.
This is an improvement on the gracesize bound of Rosa and \v{S}ir\'{a}\v{n} for
certain values of $\nu$ and $d$. We view these results as a step towards
Bermond's conjecture.


title: Measuring the Complexity of Self-organizing Traffic Lights

abstract:
  We apply measures of complexity, emergence and self-organization to an
abstract city traffic model for comparing a traditional traffic coordination
method with a self-organizing method in two scenarios: cyclic boundaries and
non-orientable boundaries. We show that the measures are useful to identify and
characterize different dynamical phases. It becomes clear that different
operation regimes are required for different traffic demands. Thus, not only
traffic is a non-stationary problem, which requires controllers to adapt
constantly. Controllers must also change drastically the complexity of their
behavior depending on the demand. Based on our measures, we can say that the
self-organizing method achieves an adaptability level comparable to a living
system.

categories: nlin.AO cs.IT cs.SY math.IT nlin.CG physics.soc-ph


title:
Subproduct systems and Cartesian systems; new results on factorial
  languages and their relations with other areas

abstract:
  We point out that a sequence of natural numbers is the dimension sequence of
a subproduct system if and only if it is the cardinality sequence of a word
system (or factorial language). Determining such sequences is, therefore,
reduced to a purely combinatorial problem in the combinatorics of words. A
corresponding (and equivalent) result for graded algebras has been known in
abstract algebra, but this connection with pure combinatorics has not yet been
noticed by the product systems community. We also introduce Cartesian systems,
which can be seen either as a set theoretic version of subproduct systems or an
abstract version of word systems. Applying this, we provide several new results
on the cardinality sequences of word systems and the dimension sequences of
subproduct systems.


title:
Comment on "Weak value amplification is suboptimal for estimation and
  detection"

abstract:
  The assumptions of Ferrie and Combes are irrelevant for realistic
experimental situations. This undermines their conclusions.


title: SPHERE: Meaningful and Inclusive Sensor-Based Home Healthcare

abstract:
  Given current demographic and health trends, and their economic implications,
home healthcare technology has become a fertile area for research and
development. Motivated by the need for a radical reform of healthcare
provision, SPHERE is a large-scale Interdisciplinary Research Collaboration
that aims to develop home sensor systems to monitor people's health and
wellbeing in the home. This paper outlines the unique circumstances of
designing healthcare technology for the home environment, with a particular
focus on how to ensure future systems are meaningful to and desirable for the
intended users.


title:
Density waves, dodecahedral geometry and structures of some spherical
  viral capsids

abstract:
  A pentagonal order formed by 360 proteins in the bovine papilloma viral
capsid and structures of some smaller viral capsids are considered from a
unified point of view based on the Landau crystallization theory. To simulate
the capsid structures we map the planar pentagonal Penrose quasilattice (PPQ)
constructed in the frames of the Landau theory onto a sphere through the
dodecahedron nets of different sizes. Six different simplest nets containing
from 60 to 360 positions occupied by proteins are proposed. Buckling of the
initially planar capsid faces and a smooth conjugation of the protein orders at
the adjacent faces are taken into account by means of two conditions imposed on
the minimization of the capsid free energy. This conditional minimization
results in two-component phason strain field, which describes the
self-consistent reconstruction of quasicrystalline orders located at twelve
faces of spherical dodecahedron. All six chiral structures obtained in this way
are very similar to those of well-known spherical viral capsids. The theory
proposed explains some general peculiarities of protein organization in capsids
of small and medium-sized viruses.


title: Free-fall energy density and flux in the Schwarzschild black hole

abstract:
  In the four-dimensional background of Schwarzschild black hole, we
investigate the energy densities and fluxes in the freely falling frames for
the Boulware, Unruh, and Israel-Hartle-Hawking states. In particular, we study
their behaviors near the horizon and asymptotic spatial infinity by using the
trace anomaly of a conformally invariant scalar field. In the Boulware state,
both the energy density and flux are negative divergent when the observer is
dropped at the horizon, and asymptotically vanish. In the Unruh state, the
energy density is also negative divergent at the horizon while it is positive
finite asymptotically. The flux in the Unruh state is always positive and
divergent at the horizon. In the Israel-Hartle-Hawking state, the energy
density depends on the angular motion of free fall, and fluxes vanish at the
horizon and the spatial infinity. Finally, we discuss the role of the negative
energy density near the horizon in the evaporating black hole.


title: New Transition Mechanism: The Shaking Effect

abstract:
  It has been observed that the trajectory of a H2 molecular beam is modified
as it passes through a homogeneous magnetic field and an oscillating magnetic
field. Based on this observation, this work describes a new method to determine
the magnetic moment of atoms and molecules with internal angular momentum. This
new method is similar to that used in the Molecular Beam Magnetic Resonance
(MBMR) but 'it does not employ' the inhomogeneous fields A and B. Results shown
here are in agreement with the theory of the motion of systems with internal
angular momentum developed by M.Dorado. Furthermore, in this work the
transition mechanism given by I.I. Rabi and N.F. Ramsey is reviewed and
completed with the introduction of nutation frequency and shaking effect.


title:
Helioseismic Measurements in the Solar Envelope Using Group Velocities
  of Surface Waves

abstract:
  At intermediate and high degree $l$, solar p- and f modes can be considered
as surface waves. Using variational principle, we derive an integral expression
for the group velocities of the surface waves in terms of adiabatic
eigenfunctions of normal modes, and address the benefits of using
group-velocity measurements as a supplementary diagnostic tool in solar
seismology. The principal advantage of using group velocities, when compared
with direct analysis of the oscillation frequencies, comes from their smaller
sensitivity to the uncertainties in the near-photospheric layers. We address
some numerical examples where group velocities are used to reveal
inconsistencies between the solar models and the seismic data. Further, we
implement the group-velocity measurements to the calibration of the specific
entropy, helium abundance Y and heavy-element abundance Z in the
adiabatically-stratified part of the solar convective envelope, using different
recent versions of the equation of state. The results are in close agreement
with our earlier measurements based on more sophisticated analysis of the solar
oscillation frequencies (Vorontsov et al. 2013, MNRAS 430, 1636). These results
bring further support to the downward revision of the solar heavy-element
abundances in recent spectroscopic measurements.


title: Extension of warm inflation to noncanonical scalar fields

abstract:
  We extend the warm inflationary scenario to the case of the noncanonical
scalar fields. The equation of motion and the other basic equations of this new
scenario are obtained. The Hubble damped term is enhanced in noncanonical
inflation. A linear stability analysis is performed to give the proper
slow-roll conditions in warm noncanonical inflation. We study the density
fluctuations in the new picture and obtain an approximate analytic expression
of the power spectrum. The energy scale at the horizon crossing is depressed by
both noncanonical effect and thermal effect, and so is the tensor-to-scalar
ratio. Besides the synergy, the noncanonical effect and the thermal effect are
competing in the case of the warm noncanonical inflation.


title: About some properties of algebras obtained by the Cayley-Dickson process

abstract:
  This paper is a short survey about some properties of algebras ob- tained by
the Cayley-Dickson process and some of their applications.


title: Z Cam Stars in the Twenty-First Century

abstract:
  Z Cam stars are a small subset of dwarf novae that exhibit standstills in
their light curves. Most modern literature and catalogs of cataclysmic
variables quote the number of known Z Cams to be on the order of 30 or so
systems. After a four-year observing campaign and an exhaustive examination of
the data in the AAVSO International Database we have trimmed that number by a
third. One of the reasons for the misclassification of some systems is the fact
that the definition of what a Z Cam is has changed over the last 85 years to
what it is today. This has caused many stars formerly assumed to be Z Cams or
rumored to be Z Cams to be eliminated from the final list. In this paper we
present the results of our investigation into 65 stars listed at one time or
another in the literature as Z Cams or possible Z Cams.


title: Continued fraction digit averages an Maclaurin's inequalities

abstract:
  A classical result of Khinchin says that for almost all real numbers
$\alpha$, the geometric mean of the first $n$ digits $a_i(\alpha)$ in the
continued fraction expansion of $\alpha$ converges to a number $K =
2.6854520\ldots$ (Khinchin's constant) as $n \to \infty$. On the other hand,
for almost all $\alpha$, the arithmetic mean of the first $n$ continued
fraction digits $a_i(\alpha)$ approaches infinity as $n \to \infty$. There is a
sequence of refinements of the AM-GM inequality, Maclaurin's inequalities,
relating the $1/k$-th powers of the $k$-th elementary symmetric means of $n$
numbers for $1 \leq k \leq n$. On the left end (when $k=n$) we have the
geometric mean, and on the right end ($k=1$) we have the arithmetic mean.
  We analyze what happens to the means of continued fraction digits of a
typical real number in the limit as one moves $f(n)$ steps away from either
extreme. We prove sufficient conditions on $f(n)$ to ensure to ensure
divergence when one moves $f(n)$ steps away from the arithmetic mean and
convergence when one moves $f(n)$ steps away from the geometric mean. For
typical $\alpha$ we conjecture the behavior for $f(n)=cn$, $0<c<1$.
  We also study the limiting behavior of such means for quadratic irrational
$\alpha$, providing rigorous results, as well as numerically supported
conjectures.


title:
On the mean-width of isotropic convex bodies and their associated
  $L_p$-centroid bodies

abstract:
  For any origin-symmetric convex body $K$ in $\mathbb{R}^n$ in isotropic
position, we obtain the bound: \[ M^*(K) \leq C \sqrt{n} \log(n)^2 L_K ~, \]
where $M^*(K)$ denotes (half) the mean-width of $K$, $L_K$ is the isotropic
constant of $K$, and $C>0$ is a universal constant. This improves the previous
best-known estimate $M^*(K) \leq C n^{3/4} L_K$. Up to the power of the
$\log(n)$ term and the $L_K$ one, the improved bound is best possible, and
implies that the isotropic position is (up to the $L_K$ term) an almost
$2$-regular $M$-position. The bound extends to any arbitrary position,
depending on a certain weighted average of the eigenvalues of the covariance
matrix. Furthermore, the bound applies to the mean-width of $L_p$-centroid
bodies, extending a sharp upper bound of Paouris for $1 \leq p \leq \sqrt{n}$
to an almost-sharp bound for an arbitrary $p \geq \sqrt{n}$. The question of
whether it is possible to remove the $L_K$ term from the new bound is
essentially equivalent to the Slicing Problem, to within logarithmic factors in
$n$.


title:
ST Chamaeleontis and BP Coronae Australis: Two Southern Dwarf Novae
  Confirmed as Z Cam Stars

abstract:
  Z Camelopardalis (Z Cam) stars are a subset of dwarf novae distinguished by
the occurrence of standstills, periods of relative constant brightness one to
one and a half magnitudes fainter than maximum brightness. As part of an
ongoing observing campaign, the Z CamPaign, the authors focused attention on
several Z Cam suspects in the southern hemisphere. Two stars, BP Coronae
Australis and ST Chamaeleontis were found to exhibit standstill behavior in
2013, thus confirming them as Z Cam type systems. This adds two more bona fide
members to the 19 confirmed Z Cams, bringing the total to 21.


title: Signed arc permutations

abstract:
  Arc permutations, which were originally introduced in the study of
triangulations and characters, have recently been shown to have interesting
combinatorial properties. The first part of this paper continues their study by
providing signed enumeration formulas with respect to their descent set and
major index. Next, we generalize the notion of arc permutations to the
hyperoctahedral group in two different directions. We show that these
extensions to type $B$ carry interesting analogues of the properties of type
$A$ arc permutations, such as characterizations by pattern avoidance, and
elegant unsigned and signed enumeration formulas with respect to the flag-major
index.


title: Simulations of galactic dynamos

abstract:
  We review our current understanding of galactic dynamo theory, paying
particular attention to numerical simulations both of the mean-field equations
and the original three-dimensional equations relevant to describing the
magnetic field evolution for a turbulent flow. We emphasize the theoretical
difficulties in explaining non-axisymmetric magnetic fields in galaxies and
discuss the observational basis for such results in terms of rotation measure
analysis. Next, we discuss nonlinear theory, the role of magnetic helicity
conservation and magnetic helicity fluxes. This leads to the possibility that
galactic magnetic fields may be bi-helical, with opposite signs of helicity and
large and small length scales. We discuss their observational signatures and
close by discussing the possibilities of explaining the origin of primordial
magnetic fields.


title:
Central Charge Extended Supersymmetric Structures for Fundamental
  Fermions Around non-Abelian Vortices

abstract:
  Fermionic zero modes around non-abelian vortices are shown that they
constitute two $N=2$, $d=1$ supersymmetric quantum mechanics algebras. These
two algebras can be combined under certain circumstances to form a central
charge extended $N=4$ supersymmetric quantum algebra. We thoroughly discuss the
implications of the existence of supersymmetric quantum mechanics algebras, in
the quantum Hilbert space of the fermionic zero modes.


title:
Golden-rule capacity allocation for distributed delay management in
  peer-to-peer networks

abstract:
  We describe a distributed framework for resources management in peer-to-peer
networks leading to golden-rule reciprocity, a kind of one-versus-rest
tit-for-tat, so that the delays experienced by any given peer's messages in the
rest of the network are proportional to those experienced by others' messages
at that peer.


title: Mutually connected component of network of networks with replica nodes

abstract:
  We describe the emergence of the giant mutually connected component in
networks of networks in which each node has a single replica node in any layer
and can be interdependent only on its replica nodes in the interdependent
layers. We prove that if in these networks, all the nodes of one network
(layer) are interdependent on the nodes of the same other interconnected layer,
then, remarkably, the mutually connected component does not depend on the
topology of the network of networks. This component coincides with the mutual
component of the fully connected network of networks constructed from the same
set of layers, i.e., a multiplex network.


title:
Singular value decomposition of a finite Hilbert transform defined on
  several intervals and the interior problem of tomography: the Riemann-Hilbert
  problem approach

abstract:
  We study the asymptotics of singular values and singular functions of a
Finite Hilbert transform (FHT), which is defined on several intervals.
Transforms of this kind arise in the study of the interior problem of
tomography. We suggest a novel approach based on the technique of the matrix
Riemann-Hilbert problem and the steepest descent method of Deift-Zhou. We
obtain a family of matrix RHPs depending on the spectral parameter $\lambda$
and show that the singular values of the FHT coincide with the values of
$\lambda$ for which the RHP is not solvable. Expressing the leading order
solution as $\lambda\to 0$ of the RHP in terms of the Riemann Theta functions,
we prove that the asymptotics of the singular values can be obtained by
studying the intersections of the locus of zeroes of a certain Theta function
with a straight line. This line can be calculated explicitly, and it depends on
the geometry of the intervals that define the FHT. The leading order
asymptotics of the singular functions and singular values are explicitly
expressed in terms of the Riemann Theta functions and of the period matrix of
the corresponding normalized differentials, respectively. We also obtain the
error estimates for our asymptotic results.


title:
Fine structure of phonon replicas in a tunnel spectrum of a GaAs quantum
  well

abstract:
  A fine structure of phonon replicas in the current-voltage characteristic of
a resonant-tunneling diode has been investigated experimentally. A detailed
study of the diode I-V curves in magnetic fields of different orientations has
allowed to determine the origin of the features in the fine structure. The
voltage positions of the features are shown to coincide with calculated that in
the frame of two models: LO-phonon assisted tunneling and resonant tunneling of
polarons.


title:
Multiple percolation transitions in a configuration model of network of
  networks

abstract:
  Recently much attention has been paid to the study of the robustness of
interdependent and multiplex networks and, in particular, networks of networks.
The robustness of interdependent networks can be evaluated by the size of a
mutually connected component when a fraction of nodes have been removed from
these networks. Here we characterize the emergence of the mutually connected
component in a network of networks in which every node of a network (layer)
$\alpha$ is connected with $q_{\alpha}$ randomly chosen replicas in some other
networks and is interdependent of these nodes with probability $r$. We find
that when the superdegrees $q_{\alpha}$ of different layers in the network of
networks are distributed heterogeneously, multiple percolation phase transition
can occur, and depending on the value of $r$ these transition are continuous or
discontinuous.


title: On the index of length four minimal zero-sum sequences

abstract:
  Let $G$ be a finite cyclic group. Every sequence $S$ over $G$ can be written
in the form $S=(n_1g)\cdot\ldots\cdot(n_lg)$ where $g\in G$ and $n_1, \ldots,
n_l\in[1, \ord(g)]$, and the index $\ind(S)$ of $S$ is defined to be the
minimum of $(n_1+\cdots+n_l)/\ord(g)$ over all possible $g\in G$ such that
$\langle g \rangle =G$.
  A conjecture on the index of length four sequences says that every minimal
zero-sum sequence of length 4 over a finite cyclic group $G$ with $\gcd(|G|,
6)=1$ has index 1. The conjecture was confirmed recently for the case when
$|G|$ is a product of at most two prime powers. However, the general case is
still open. In this paper, we make some progress towards solving the general
case. Based on earlier work on this problem, we show that if $G=\langle
g\rangle$ is a finite cyclic group of order $|G|=n$ such that $\gcd(n,6)=1$ and
$S=(x_1g)(x_2g)(x_3g)(x_4g)$ is a minimal zero-sum sequence over $G$ such that
$x_1,\cdots,x_4\in[1,n-1]$ with $\gcd(n,x_1,x_2,x_3,x_4)=1$, and
$\gcd(n,x_i)>1$ for some $i\in[1,4]$, then $\ind(S)=1$.
  By using an innovative method developed in this paper, we are able to give a
new (and much shorter) proof to the index conjecture for the case when $|G|$ is
a product of two prime powers.


title: Phase Transitions in Brownian Pumps

abstract:
  We study stochastic particle transport between two reservoirs along a
channel, where the particles are pumped against a bias by a traveling wave
potential. It is shown that phase transitions of period-averaged densities or
currents occur inside the channel when exclusion interactions between the
particles are taken into account. These transitions reflect those known for the
asymmetric simple exclusion process (ASEP). We argue that their occurrence is a
generic feature of Brownian motors operating in open systems.


title:
Minimal zero-sum sequence of length five over finite cyclic groups of
  prime power order

abstract:
  Let $G$ be a finite cyclic group. Every sequence $S$ of length $l$ over $G$
can be written in the form $S=(x_1g)\cdot\ldots\cdot(x_lg)$ where $g\in G$ and
$x_1, \ldots, x_l\in[1, \ord(g)]$, and the index $\ind(S)$ of $S$ is defined to
be the minimum of $(x_1+\cdots+x_l)/\ord(g)$ over all possible $g\in G$ such
that $\langle g \rangle =G$. Recently the second and the third authors
determined the index of any minimal zero-sum sequence $S$ of length 5 over a
cyclic group of a prime order where $S=g^2(x_2g)(x_3g)(x_4g)$. In this paper,
we determine the index of any minimal zero-sum sequence $S$ of length 5 over a
cyclic group of a prime power order. It is shown that if $G=\langle g\rangle$
is a cyclic group of prime power order $n=p^\mu$ with $p \geq 7$ and $\mu\geq
2$, and $S=(x_1g)(x_2g)(x_2g)(x_3g)(x_4g)$ with $x_1=x_2$ is a minimal zero-sum
sequence with $\gcd(n,x_1,x_2,x_3,x_4,x_5)=1$, then $\ind(S)=2$ if and only if
$S=(mg)(mg)(m\frac{n-1}{2}g)(m\frac{n+3}{2}g)(m(n-3)g)$ where $m$ is a positive
integer such that $\gcd(m,n)=1$.


title:
Scalar theories and symmetry breaking in the light-front coupled-cluster
  method

abstract:
  We extend the light-front coupled-cluster (LFCC) method to include zero modes
explicitly, in order to be able to compute vacuum structure in theories with
symmetry breaking. Applications to phi^3 and phi^4 theories are discussed as
illustrations and compared with variational coherent-state analyses.


title: $\eta$-Ricci solitons on para-Kenmotsu manifolds

abstract:
  In the context of paracontact geometry, $\eta$-Ricci solitons are considered
on manifolds satisfying certain curvature conditions: $(\xi,\cdot)_{R}\cdot
S=0$, $(\xi,\cdot)_{S}\cdot R=0$, $(\xi,\cdot)_{W_2}\cdot S=0$ and
$(\xi,\cdot)_{S}\cdot W_2=0$. We prove that on a para-Kenmotsu manifold
$(M,\varphi,\xi,\eta,g)$, the existence of an $\eta$-Ricci soliton implies that
$(M,g)$ is quasi-Einstein and if the Ricci curvature satisfies
$(\xi,\cdot)_{R}\cdot S=0$, then $(M,g)$ is Einstein. Conversely, we give a
sufficient condition for the existence of an $\eta$-Ricci soliton on a
para-Kenmotsu manifold.


title: Abelian localization for cyclotomic Cherednik algebras

abstract:
  In this paper we prove the abelian localization theorem for modules over
cyclotomic Rational Cherednik algebras.


title: An Intuitionisticaly based Description Logic

abstract:
  This article presents iALC, an intuitionistic version of the classical
description logic ALC, based on the framework for constructive modal logics
presented by Simpson \cite{simpson95} and related to description languages, via
hybrid logics, by dePaiva \cite{depaiva2003}. This article correcta and extends
the presentation of iALC appearing in \cite{PHR:2010}. It points out the
difference between iALC and the intuitionistic hybrid logic presented in
\cite{depaiva2003}. Completeness and soundness proofs are provided. A brief
discussion on the computacional complexity of iALC provability is taken. It is
worth mentioning that iALC is used to formalize legal knowledge
\cite{HPR:2010a,HPR:2010ab,Jurix, HPR:2011}, and in fact, was specifically
designed to this goal.


title: Light-front holography and the light-front coupled-cluster method

abstract:
  We summarize the light-front coupled-cluster (LFCC) method for the solution
of field-theoretic bound-state eigenvalue problems and indicate the connection
with light-front holographic QCD. This includes a sample application of the
LFCC method and leads to a relativistic quark model for mesons that adds
longitudinal dynamics to the usual transverse light-front holographic
Schrodinger equation.


title:
Is the molecular Berry phase an artifact of the Born-Oppenheimer
  approximation?

abstract:
  We demonstrate that the molecular Berry phase and the corresponding
non-analyticity in the electronic Born-Oppenheimer wavefunction is, in general,
not a true topological feature of the exact solution of the full
electron-nuclear Schr\"odinger equation. For a numerically exactly solvable
model we show that a non-analyticity, and the associated geometric phase, only
appear in the limit of infinite nuclear mass, while a perfectly smooth behavior
is found for any finite nuclear mass.


title: Radio efficiency of pulsars

abstract:
  We investigate radio emission efficiency $\xi$ of pulsars and report a near
linear inverse correlation between $\xi$ and the spindown power $\dot E$, as
well as a near linear correlation between $\xi$ and pulsar age $\tau$. This is
a consequence of very weak, if any, dependences of radio luminosity $L$ on
pulsar period $P$ and period derivative $\dot{P}$, in contrast to X-ray or
$\gamma$-ray emission luminosities. The analysis of radio fluxes suggests that
these correlations are not due to a selection effect, but are intrinsic to the
pulsar radio emission physics. We have found that, although with a large
variance, the radio luminosity of pulsars is $\left<L\right>\approx 10^{29}
\,{\rm erg/s}$, regardless of the position in the $P-\dot P$ diagram. Within
such a picture, a model-independent statement can be made that the death line
of radio pulsars corresponds to an upper limit in the efficiency of radio
emission. If we introduce the maximum value for a radio efficiency into Monte
Carlo-based population syntheses we can reproduce the observed sample using the
random luminosity model. The Kolmogorov-Smirnov test on a synthetic flux
distribution shows high probability of reproducing the observed distribution.
Our results suggests that the plasma responsible for generating radio emission
is produced under similar conditions regardless of pulsar age, dipolar magnetic
field strength, and spin-down rate. The magnetic fields near the pulsar surface
are likely dominated by crust-anchored magnetic anomalies, which do not
significantly differ among pulsars, leading to similar conditions for
generating electron-positron pairs necessary to power radio emission.


title:
Refined Cauchy and Littlewood identities, plane partitions and symmetry
  classes of alternating sign matrices

abstract:
  We prove and conjecture some new symmetric function identities, which equate
the generating series of 1. Plane partitions, subject to certain restrictions
and weightings, and 2. Alternating sign matrices, subject to certain symmetry
properties. The left hand side of each of our identities is a simple refinement
of a relevant Cauchy or Littlewood identity, allowing them to be interpreted as
generating series for plane partitions. The right hand side of each identity is
a partition function of the six-vertex model, on a relevant domain. These can
be interpreted as generating series for alternating sign matrices, using the
well known bijection with six-vertex model configurations.


title:
Current states in superconducting films: numerical results and
  approximations

abstract:
  We present numerical solution of equations by Aslamazov and Lempitskiy (AL)
for the distribution of the transport current density in thin superconducting
films in the absence of external magnetic field, in both the Meissner and the
vortex states. This solution describes smooth transition between the regimes of
a wide film and a narrow channel and enables us to find the critical currents
and current-voltage characteristics within a wide range of the film width and
temperatures. We propose simple approximating formulas for the current density
distributions and critical currents.


title:
Low-energy excitations of a one-dimensional Bose gas with weak contact
  repulsion

abstract:
  We study elementary excitations of a system of one-dimensional bosons with
weak contact repulsion. We show that the Gross-Pitaevskii regime, in which the
excitations are the well-known Bogoliubov quasiparticles and dark solitons,
does not extend to the low energy limit. Instead, the spectra of both
excitations have finite curvatures at zero momentum, in agreement with the
phenomenological picture of fermionic quasiparticles. We describe analytically
the crossover between the Gross-Pitaevskii and the low-energy regimes, and
discuss implications of our results for the behavior of the dynamic structure
factor.

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


title:
Chemical gradients across phase boundaries between martensite and
  austenite in steel studied by atom probe tomography and simulation

abstract:
  Partitioning at phase boundaries of complex steels is important for their
properties. We present atom probe tomography results across martensite /
austenite interfaces in a precipitation-hardened maraging TRIP steel (12.2 Mn,
1.9 Ni, 0.6 Mo, 1.2 Ti, 0.3 Al; at.%). The system reveals compositional changes
at the phase boundaries: Mn and Ni are enriched while Ti, Al, Mo, and Fe are
depleted. More specific, we observe up to 27 at.% Mn in a 20 nm layer at the
phase boundary. This is explained by the large difference in diffusivity
between martensite and austenite. The high diffusivity in martensite leads to a
Mn-flux towards the retained austenite. The low diffusivity in the austenite
does not allow accommodation of this flux. Consequently, the austenite grows
with a Mn-composition given by local equilibrium. The interpretation is based
on DICTRA and mixed-mode diffusion calculations (using a finite interface
mobility).


title: Fundamental Composite (Goldstone) Higgs Dynamics

abstract:
  We provide a unified description, both at the effective and fundamental
Lagrangian level, of models of composite Higgs dynamics where the Higgs itself
can emerge, depending on the way the electroweak symmetry is embedded, either
as a pseudo-Goldstone boson or as a massive excitation of the condensate. We
show that, in general, these states mix with repercussions on the electroweak
physics and phenomenology. Our results will help clarify the main differences,
similarities, benefits and shortcomings of the different ways one can naturally
realize a composite nature of the electroweak sector of the Standard Model. We
will analyze the minimal underlying realization in terms of fundamental
strongly coupled gauge theories supporting the flavor symmetry breaking pattern
SU(4)/Sp(4) $\sim$ SO(6)/SO(5). The most minimal fundamental description
consists of an SU(2) gauge theory with two Dirac fermions transforming
according to the fundamental representation of the gauge group. This minimal
choice enables us to use recent first principle lattice results to make the
first predictions for the massive spectrum for models of composite (Goldstone)
Higgs dynamics. These results are of the upmost relevance to guide searches of
new physics at the Large Hadron Collider.


title:
Core - Corona Model analysis of the Low Energy Beam Scan at RHIC
  (Relativistic Heavy Ion Collider) in Brookhaven (USA)

abstract:
  The centrality dependence of spectra of identified particles in collisions
between ultrarelativistic heavy ions with a center of mass energy ($\sqrt{s}$)
of 39 and 11.5 $AGeV$ is analyzed in the core - corona model. We show that at
these energies the spectra can be well understood assuming that they are
composed of two components whose relative fraction depends on the centrality of
the interaction: The core component which describes an equilibrated quark gluon
plasma and the corona component which is caused by nucleons close to the
surface of the interaction zone which scatter only once and which is identical
to that observed in proton-proton collisions. The success of this approach at
39 and 11.5 $AGeV$ shows that the physics does not change between this energy
and $\sqrt{s}=200~ AGeV$ for which this model has been developed (Aichelin
2008). This presents circumstantial evidence that a quark gluon plasma is also
created at center of mass energies as low as 11.5 $AGeV$.


title: Distinguishing Quantum and Classical Baths via Correlation Measurements

abstract:
  Investigations of quantum mechanical effects in macroscopic systems are of
great interest to shed light onto the question where and how the transition to
the classical world appears. It is also of practical relevance to determine if
a bath dephasing a qubit can be described classically or requires a quantum
mechanical treatment. We propose a measurement scheme to detect quantum
backaction via correlation measurements to answer this question for a bath
coupled to a single qubit. The presence of backaction leads to a dependence of
correlations of subsequent initialization-evolution-readout cycles on how the
qubit is manipulated in between. We compute the autocorrelation function for
both an instructive spin model and the realistic case of an electron spin
coupled to a bath of $10^6$ nuclear spins, as found in gated GaAs quantum dots,
and show that backaction from the qubit onto the nuclear spin bath should be
detectable even in such a large system.


title: Ultra-Fast Stark-Induced Control of Polaritonic States

abstract:
  A laser pulse, several meV red-detuned from the excitonic line of a quantum
well, has been shown to induce an almost instantaneous and rigid shift of the
lower and upper polariton branches. Here we demonstrate that through this
shift, ultra-fast all-optical control of the polariton population in a
semiconductor microcavity should be achievable. In the proposed setup a Stark
field is used to bring the lower polariton branch in or out of resonance with a
quasi-resonant continuous-wave laser, thereby favoring or inhibiting the
injection of polaritons into the cavity. Moreover we show that this technique
allows for the implementation of optical switches with extremely high
repetition rates.


title:
Dealing with correlated choices: How a spin-glass model can help
  political parties select their policies

abstract:
  Starting from preferences on N proposed policies obtained via questionnaires
from a sample of the electorate, an Ising spin-glass model in a field can be
constructed from which a political party could find the subset of the proposed
policies which would maximize its appeal, form a coherent choice in the eyes of
the electorate, and have maximum overlap with the party's existing policies. We
illustrate the application of the procedure by simulations of a spin glass in a
random field on scale-free networks.


title: Classification of Complex Networks Based on Topological Properties

abstract:
  Complex networks are a powerful modeling tool, allowing the study of
countless real-world systems. They have been used in very different domains
such as computer science, biology, sociology, management, etc. Authors have
been trying to characterize them using various measures such as degree
distribution, transitivity or average distance. Their goal is to detect certain
properties such as the small-world or scale-free properties. Previous works
have shown some of these properties are present in many different systems,
while others are characteristic of certain types of systems only. However, each
one of these studies generally focuses on a very small number of topological
measures and networks. In this work, we aim at using a more systematic
approach. We first constitute a dataset of 152 publicly available networks,
spanning over 7 different domains. We then process 14 different topological
measures to characterize them in the most possible complete way. Finally, we
apply standard data mining tools to analyze these data. A cluster analysis
reveals it is possible to obtain two significantly distinct clusters of
networks, corresponding roughly to a bisection of the domains modeled by the
networks. On these data, the most discriminant measures are density,
modularity, average degree and transitivity, and at a lesser extent, closeness
and edgebetweenness centralities.Abstract--Complex networks are a powerful
modeling tool, allowing the study of countless real-world systems. They have
been used in very different domains such as computer science, biology,
sociology, management, etc. Authors have been trying to characterize them using
various measures such as degree distribution, transitivity or average distance.
Their goal is to detect certain properties such as the small-world or
scale-free properties. Previous works have shown some of these properties are
present in many different systems, while others are characteristic of certain
types of systems only. However, each one of these studies generally focuses on
a very small number of topological measures and networks. In this work, we aim
at using a more systematic approach. We first constitute a dataset of 152
publicly available networks, spanning over 7 different domains. We then process
14 different topological measures to characterize them in the most possible
complete way. Finally, we apply standard data mining tools to analyze these
data. A cluster analysis reveals it is possible to obtain two significantly
distinct clusters of networks, corresponding roughly to a bisection of the
domains modeled by the networks. On these data, the most discriminant measures
are density, modularity, average degree and transitivity, and at a lesser
extent, closeness and edgebetweenness centralities.


title:
Improving Hard Disk Contention-based Covert Channel in Cloud Computing
  Environment

abstract:
  Steganographic methods allow the covert exchange of secret data between
parties aware of the procedure. The cloud computing environment is a new and
hot target for steganographers, and currently not many solutions have been
proposed. This paper proposes CloudSteg which is a steganographic method that
allows the creation of a covert channel based on hard disk contention between
the two cloud instances that reside on the same physical machine. Experimental
results conducted using open source cloud environment OpenStack, show that
CloudSteg is able to achieve a bandwidth of about 0.1 bps which is 1000 times
higher than is known from the state-of-the-art version.


title:
Graph Cuts with Interacting Edge Costs - Examples, Approximations, and
  Algorithms

abstract:
  We study an extension of the classical graph cut problem, wherein we replace
the modular (sum of edge weights) cost function by a submodular set function
defined over graph edges. Special cases of this problem have appeared in
different applications in signal processing, machine learning, and computer
vision. In this paper, we connect these applications via the generic
formulation of "cooperative graph cuts", for which we study complexity,
algorithms, and connections to polymatroidal network flows. Finally, we compare
the proposed algorithms empirically.


title: Ultra-soft fermionic excitation at finite chemical potential

abstract:
  It has been suggested previously that an ultra-soft fermionic excitation
develops, albeit with a small spectral weight, in a system of massless fermions
and scalar bosons with Yukawa interaction at high temperature ($T$). In this
paper we study how this excitation is modified at finite chemical potential
($\mu$). We relate the existence of the ultra-soft mode to symmetries, in
particular charge conjugation, and a supersymmetry of the free system which is
spontaneously broken by finite temperature and finite density effects, as
argued earlier by Lebedev and Smilga. A non vanishing chemical potential breaks
both symmetries explicitly, and maximally at zero temperature where the mode
ceases to exist. A detailed calculation indicates that the ultra-soft
excitation persists as long as $T\gtrsim \mu$.


title: Two Kinds of Discovery: An Ontological Account

abstract:
  What can we discover? As the discussion in this paper is limited to
ontological considerations, it does not deal with the discovery of new
concepts. It raises the following question: What are the entities or existents
that we can discover? There are two kinds of such entities: (1) actual
entities, and (2) possible entities, which are pure possibilities. The paper
explains why the first kind of discovery depends primarily on the second kind.
The paper illustrates the discoveries of individual pure possibilities by
presenting examples such as the Higgs particle, Dirac's positron, and
Pauli-Fermi's neutrino.


title: Faster Comparison of Stopping Times by Nested Conditional Monte Carlo

abstract:
  We show that deliberately introducing a nested simulation stage can lead to
significant variance reductions when comparing two stopping times by Monte
Carlo. We derive the optimal number of nested simulations and prove that the
algorithm is remarkably robust to misspecifications of this number. The method
is applied to several problems related to Bermudan/American options. In these
applications, our method allows to substantially increase the efficiency of
other variance reduction techniques, namely, Quasi-Control Variates and
Multilevel Monte Carlo.


title: Covariant approximation averaging

abstract:
  We present a new class of statistical error reduction techniques for
Monte-Carlo simulations. Using covariant symmetries, we show that correlation
functions can be constructed from inexpensive approximations without
introducing any systematic bias in the final result. We introduce a new class
of covariant approximation averaging techniques, known as all-mode averaging
(AMA), in which the approximation takes account of contributions of all
eigenmodes through the inverse of the Dirac operator computed from the
conjugate gradient method with a relaxed stopping condition. In this paper we
compare the performance and computational cost of our new method with
traditional methods using correlation functions and masses of the pion,
nucleon, and vector meson in $N_f=2+1$ lattice QCD using domain-wall fermions.
This comparison indicates that AMA significantly reduces statistical errors in
Monte-Carlo calculations over conventional methods for the same cost.


title: Cloaked Gamma Ray Bursts

abstract:
  It is suggested that many $\gamma$-ray bursts (GRBs) are cloaked by an
ultra-relativistic baryonic shell that has high optical depth when the photons
are manufactured. Such a shell would not fully block photons reflected or
emitted from its inner surface, because the radial velocity of the photons can
be less than that of the shell. This avoids the standard problem associated
with GRBs that the thermal component should be produced where the flow is still
obscured by high optical depth. The radiation that escapes high optical depth
obeys the Amati relation. Observational implications may include a) anomalously
high ratios of afterglow to prompt emission, such as may have been the case in
the recently discovered PTF 11agg, and b) ultrahigh-energy neutrino pulses that
are non-coincident with detectable GRB. It is suggested that GRB 090510, a
short, very hard GRB with very little afterglow, was an {\it exposed} GRB, in
contrast to those cloaked by baryonic shells. \end{abstract}


title:
Distributed Kalman Filtering over Massive Data Sets: Analysis Through
  Large Deviations of Random Riccati Equations

abstract:
  This paper studies the convergence of the estimation error process and the
characterization of the corresponding invariant measure in distributed Kalman
filtering for potentially unstable and large linear dynamic systems. A gossip
network protocol termed Modified Gossip Interactive Kalman Filtering (M-GIKF)
is proposed, where sensors exchange their filtered states (estimates and error
covariances) and propagate their observations via inter-sensor communications
of rate $\overline{\gamma}$; $\overline{\gamma}$ is defined as the averaged
number of inter-sensor message passages per signal evolution epoch. The
filtered states are interpreted as stochastic particles swapped through local
interaction. The paper shows that the conditional estimation error covariance
sequence at each sensor under M-GIKF evolves as a random Riccati equation (RRE)
with Markov modulated switching. By formulating the RRE as a random dynamical
system, it is shown that the network achieves weak consensus, i.e., the
conditional estimation error covariance at a randomly selected sensor converges
weakly (in distribution) to a unique invariant measure. Further, it is proved
that as $\overline{\gamma} \rightarrow \infty$ this invariant measure satisfies
the Large Deviation (LD) upper and lower bounds, implying that this measure
converges exponentially fast (in probability) to the Dirac measure
$\delta_{P^*}$, where $P^*$ is the stable error covariance of the centralized
(Kalman) filtering setup. The LD results answer a fundamental question on how
to quantify the rate at which the distributed scheme approaches the centralized
performance as the inter-sensor communication rate increases.


title: Secure Debit Card Device Model

abstract:
  The project envisages the implementation of an e-payment system utilizing
FIPS-201 Smart Card. The system combines hardware and software modules. The
hardware module takes data insertions (e.g. currency notes), processes the data
and then creates connection with the smart card using serial/USB ports to
perform further mathematical manipulations. The hardware interacts with servers
at the back for authentication and identification of users and for data storage
pertaining to a particular user. The software module manages database, handles
identities, provide authentication and secure communication between the various
system components. It will also provide a component to the end users. This
component can be in the form of software for computer or executable binaries
for PoS devices. The idea is to receive data in the embedded system from data
reader and smart card. After manipulations, the updated data is imprinted on
smart card memory and also updated in the back end servers maintaining
database. The information to be sent to a server is sent through a PoS device
which has multiple transfer mediums involving wired and un-wired mediums. The
user device also acts as an updater; therefore, whenever the smart card is
inserted by user, it is automatically updated by synchronizing with back-end
database. The project required expertise in embedded systems, networks, java
and C++ (Optional).


title: Interval estimations in metrology

abstract:
  This paper investigates interval estimation for a measurand that is known to
be positive. Both the Neyman and Bayesian procedures are considered and the
difference between the two, not always perceived, is discussed in detail. A
solution is proposed to a paradox originated by the frequentist assessment of
the long-run success rate of Bayesian intervals.


title: GCD sums and complete sets of square-free numbers

abstract:
  It is proved that \[ \sum_{k,{\ell}=1}^N\frac{\gcd(n_k,n_{\ell})}{\sqrt{n_k
n_{\ell}}} \ll N\exp\left(C\sqrt{\frac{\log N \log\log\log N}{\log\log
N}}\right) \] holds for arbitrary integers $1\le n_1<\cdots < n_N$. This bound
is essentially better than that found in a recent paper of Aistleitner, Berkes,
and Seip and can not be improved by more than possibly a power of
$1/\sqrt{\log\log\log N}$. The proof relies on ideas from classical work of
G\'{a}l, the method of Aistleitner, Berkes, and Seip, and a certain
completeness property of extremal sets of square-free numbers.


title: On pointwise Kan extensions in double categories

abstract:
  In this paper we consider a notion of pointwise Kan extension in double
categories that naturally generalises Dubuc's notion of pointwise Kan extension
along enriched functors. We show that, when considered in equipments that admit
opcartesian tabulations, it generalises Street's notion of pointwise Kan
extension in 2-categories.


title:
Electromagnetic waves from neutron stars and black holes driven by polar
  gravitational perturbations

abstract:
  Neutron stars and black holes are the most compact astrophysical objects we
can think of and as a consequence they are the main sources of gravitational
waves. There are many astrophysically relevant scenarios in which these objects
are immersed in or endowed with strong magnetic fields, in such a way that
gravitational perturbations can couple to electromagnetic ones and can
potentially trigger synergistic electromagnetic signatures. In a recent paper
we derived the main equations for gravito-electromagnetic perturbations and
studied in detail the case of polar electromagnetic perturbations driven by
axial gravitational perturbations. In this paper we deal with the case of axial
electromagnetic perturbations driven by polar black-hole or neutron stars
oscillations, in which the energy emitted in case is considerably larger than
in the previous case. In the case of neutron stars the phenomenon lasts
considerably longer since the fluid acts as an energy reservoir that shakes the
magnetic field for a timescale of the order of secs.


title:
On the rate of convergence of finite-difference approximations for
  elliptic Isaacs equations in smooth domains

abstract:
  We show that the there exists an algebraic rate of convergence of solutions
of finite-difference approximations for uniformly elliptic Isaacs in smooth
bounded domains.


title: Sequential multicategories

abstract:
  We study the monoidal closed category of symmetric multicategories,
especially in relation with its cartesian structure and with sequential
multicategories (whose arrows are sequences of concurrent arrows in a given
category). Then we consider cartesian multicategories in a similar perspective
and develop some peculiar items such as algebraic products. Several classical
facts arise as a consequence of this analysis when some of the multicategories
involved are representable.


title: Degenerations of Godeaux surfaces and exceptional vector bundles

abstract:
  A recent construction of Hacking relates the classification of stable vector
bundles on a surface of general type with $p_g = 0$ and the boundary of the
moduli space of deformations of the surface. In the present paper we analyze
this relation for Godeaux surfaces. We provide a description of certain
boundary components of the moduli space of Godeaux surfaces. Also we explicitly
construct certain exceptional vector bundles of rank 2 on Godeaux surfaces,
stable with respect to the canonical class, and examine the correspondence
between the boundary components and such exceptional vector bundles.


title: Study of freeze-out dynamics in STAR at RHIC Beam Energy Scan Program

abstract:
  The STAR detector at RHIC, due to its large uniform acceptance and excellent
particle identification capabilities, has measured a variety of hadron species
($\pi^{\pm}$, $K^{\pm}$, $p$, $\bar{p}$, $K^{0}_{S}$, $\Lambda$,
$\bar{\Lambda}$, $\Xi^{-}$, $\bar{\Xi}^{+}$) produced in Au+Au collisions at
$\sqrt {s_{NN}}= 7.7$, 11.5, 27 and 39 GeV. These data are part of the Beam
Energy Scan (BES) program at RHIC and provide an opportunity to measure the
yields and transverse momentum spectra ($p_{T}$) of the particles produced in
the collisions. The corresponding measurements allow to study the freeze-out
properties and dynamics of heavy ion collisions. A statistical thermal model
analysis of particle production in BES energies in both grand canonical and
strangeness canonical ensembles, is used to extract the chemical freeze-out
parameters. The $p_{T}$ spectra, particle ratios, and the energy and centrality
dependence of freeze-out parameters determined from the thermal fit of particle
ratios are discussed.


title:
Using quantum routers to implement quantum message authentication and
  Bell-state manipulation

abstract:
  In this paper we investigate the capability of quantum routing (quantum state
fusion) to implement two useful quantum communications protocols. The analyzed
protocols include quantum authentication of quantum messages and
non-destructive linear-optical Bell state manipulation. We also present the
concept of quantum decoupler -- a device implementing an inverse operation to
quantum routing. We demonstrate that both quantum router and decoupler can work
as specialized disentangling gates.


title: Pulsations and Hydrodynamics of Luminous Blue Variable Stars

abstract:
  The Luminous Blue Variable stars exhibit behavior ranging from light curve
`microvariations' on timescales of tens of days, to `outbursts' accompanied by
mass loss of up to 10e-03 solar masses per year, occurring decades apart, to
`giant eruptions' such as seen in Eta Carinae ejecting one or more solar masses
and recurring on timescales of centuries. Here we review the work of the Los
Alamos group since 1993 to investigate pulsations and instabilities in massive
stars using linear pulsation models and non-linear hydrodynamic models. The
models predict pulsational variability that may be associated with the
microvariations. Using a nonlinear pulsation hydrodynamics code with a
time-dependent convection treatment, we show that, in some circumstances, the
Eddington limit is exceeded periodically in the pulsation driving region of the
stellar envelope, accelerating the outer layers, and perhaps initiating mass
loss or LBV outbursts. We discuss how pulsations and mass loss may be
responsible for the location of the Humphreys-Davidson Limit in the H-R
diagram. The `giant eruptions', however, must involve much deeper regions in
the stellar core to cause such large amounts of mass to be ejected. We review
and suggest some possible explanations, including mixing from gravity modes,
secular instabilities, the epsilon mechanism, or the SASI instability as
proposed for Type II supernovae. We outline future work and required stellar
modeling capabilities to investigate these possibilities.


title: A Rate-Distortion Approach to Index Coding

abstract:
  We approach index coding as a special case of rate-distortion with multiple
receivers, each with some side information about the source. Specifically,
using techniques developed for the rate-distortion problem, we provide two
upper bounds and one lower bound on the optimal index coding rate. The upper
bounds involve specific choices of the auxiliary random variables in the best
existing scheme for the rate-distortion problem. The lower bound is based on a
new lower bound for the general rate-distortion problem. The bounds are shown
to coincide for a number of (groupcast) index coding instances, including all
instances for which the number of decoders does not exceed three.


title: High intensity study of THz detectors based on field effect transistors

abstract:
  Terahertz power dependence of the photoresponse of field effect transistors,
operating at frequencies from 0.1 to 3 THz for incident radiation power density
up to 100 kW/cm^2 was studied for Si metal-oxide-semiconductor field-effect
transistors and InGaAs high electron mobility transistors. The photoresponse
increased linearly with increasing radiation power up to kW/cm^2 range. The
saturation of the photoresponse was observed for all investigated field effect
transistors for intensities above several kW/cm^2. The observed signal
saturation is explained by drain photocurrent saturation similar to saturation
in direct currents output characteristics. The theoretical model of terahertz
field effect transistor photoresponse at high intensity was developed. The
model explains quantitatively experimental data both in linear and nonlinear
(saturation) range. Our results show that dynamic range of field effect
transistors is very high and can extend over more than six orderd of magnitudes
of power densities (from 0.5 mW/cm^2 to 5 kW/cm^2).


title:
Performance and calibration of the NIKA camera at the IRAM 30 m
  telescope

abstract:
  The New IRAM KID Array (NIKA) instrument is a dual-band imaging camera
operating with Kinetic Inductance Detectors (KID) cooled at 100 mK. NIKA is
designed to observe the sky at wavelengths of 1.25 and 2.14 mm from the IRAM 30
m telescope at Pico Veleta with an estimated resolution of 13\,arcsec and 18
arcsec, respectively. This work presents the performance of the NIKA camera
prior to its opening to the astrophysical community as an IRAM common-user
facility in early 2014. NIKA is a test bench for the final NIKA2 instrument to
be installed at the end of 2015. The last NIKA observation campaigns on
November 2012 and June 2013 have been used to evaluate this performance and to
improve the control of systematic effects. We discuss here the dynamical tuning
of the readout electronics to optimize the KID working point with respect to
background changes and the new technique of atmospheric absorption correction.
These modifications significantly improve the overall linearity, sensitivity,
and absolute calibration performance of NIKA. This is proved on observations of
point-like sources for which we obtain a best sensitivity (averaged over all
valid detectors) of 40 and 14 mJy.s$^{1/2}$ for optimal weather conditions for
the 1.25 and 2.14 mm arrays, respectively. NIKA observations of well known
extended sources (DR21 complex and the Horsehead nebula) are presented. This
performance makes the NIKA camera a competitive astrophysical instrument.