title: Spectral geometry with a cut-off: topological and metric aspects

abstract:
  Inspired by regularization in quantum field theory, we study topological and
metric properties of spaces in which a cut-off is introduced. We work in the
framework of noncommutative geometry, and focus on Connes distance associated
to a spectral triple (A, H, D). A high momentum (short distance) cut-off is
implemented by the action of a projection P on the Dirac operator D and/or on
the algebra A. This action induces two new distances. We individuate conditions
making them equivalent to the original distance. We also study the
Gromov-Hausdorff limit of the set of truncated states, first for compact
quantum metric spaces in the sense of Rieffel, then for arbitrary spectral
triples. To this aim, we introduce a notion of "state with finite moment of
order 1" for noncommutative algebras. We then focus on the commutative case,
and show that the cut-off induces a minimal length between points, which is
infinite if P has finite rank. When P is a spectral projection of $D$, we work
out an approximation of points by non-pure states that are at finite distance
from each other. On the circle, such approximations are given by Fejer
probability distributions. Finally we apply the results to Moyal plane and the
fuzzy sphere, obtained as Berezin quantization of the plane and the sphere
respectively.


title: Decay $t-> c\gamma$ in models with SU_L(3)XU_X(1) gauge symmetry

abstract:
  The one-loop level mediated $t-> c \gamma$ decay is analyzed in the framework
of 331 models, which induce three-level flavor-changing neutral currents
mediated by an extra neutral gauge boson, Z', and a neutral scalar boson, \phi.
These models also predict new charged gauge and scalar bosons, together with
three new quarks, which can be exotic (with electric charges of -4/3e and 5/3e)
or standard model like. Apart from the contribution of the W boson, the $t\to
c\gamma$ decay receives contributions induced by the extra gauge boson and the
neutral scalar boson, which are generic for 331 models. In the so-called
minimal 331 model, there are additional contributions from the new charged
gauge and scalar bosons accompanied by the exotic quarks. We present analytical
results for the most general $t-> c\gamma$ amplitude in terms of transcendental
functions. For the numerical analysis we focus on the minimal 331 model: the
current bounds on the model parameters are examined and a particular scenario
is discussed in which the corresponding branching ratio could be of the order
of 10^{-6}, with the dominant contributions arising from the charged gauge
bosons and a relatively light neutral scalar boson with flavor-changing
couplings, whereas the Z' contribution would be of the order of 10^{-9} for
m_{Z'}>2 TeV. However, a further suppression could be expected due to a
potential suppression of the values of the flavor-changing coupling constants.
Under the same assumptions, in 331 models without exotic quarks, the $t->
c\gamma$ branching ratio would receive the dominant contribution from the
neutral scalar boson, which could be of the order of 10^{-7} for a Higgs mass
of a few hundreds of GeVs.


title:
Zero-range potential model for the study of the ground states near the
  vortex core in the quantum limit

abstract:
  We propose the treatment of the lowest bound states near the vortex core on
the basis of the self-adjoint extension of the Hamiltonian with the localized
magnetic flux of Aaronov-Bohm type. It is shown that in the limit {\varkappa}
>> 1 the potential for the vortex core excitations can be treated in terms of
the generalized zero-range potential method. The spectrum of the Caroli-de
Gennes-Matricon states is obtained and the comparison with the numerical
calculations of Hayashi, N. et al. [Phys. Rev. Lett. 80, p. 2921 (1998)] is
performed. The analytical expression for the ground state energy depending on
the boundary condition parameter b was obtained by us.


title: Compact Complex Surfaces of Locally Conformally Flat Type

abstract:
  We show that if a compact complex surface admits a locally conformally flat
metric, then it cannot contain a smooth rational curve of odd
self-intersection. In particular, the surface has to be minimal. Then we give a
list of possibilities of such surfaces.


title: Mnemonics for Higher Education Using Contemporary Technologies

abstract:
  Education pierces into the contemporary world due to the influence of the
emerging technologies in the digital world. Education field is also bombarded
by the modern technologies and the demands of the digital society. It is
affected by cloud computing, green computing and Internet. Still the success of
this depends upon the minimization of the knowledge loss, while transferring
ideas from teacher to student. Teaching & Learning is always an art. Even
though modern technology is introduced along with the traditional method of
teaching in Higher College of Technology (HCT), knowledge loss is very high
still. Mnemonics is an old tool; still suitable for digital era students with
the influence of recent technologies. Hence this paper discusses how to
implement this mnemonics with the help of modern technologies like E-Learning
and M-Learning. In this paper we have tried to discuss about E-learning and
M-learning usage for implementing Mnemonics, and also discussed how far this
concept can be used to make the Information and Communication Technology (ICT)
more efficient and effective in term of making the students learning experience
as a fun and without huge knowledge loss during the teaching and learning
process including practical subjects. This paper also explains the initial
research conducted with the students of database specialization of HCT and
findings of that research about the knowledge loss. We have also suggests the
future research areas in Mnemonics.


title: Annihilation and coalescence on binary trees

abstract:
  An infection spreads in a binary tree of height n as follows: initially, each
leaf is either infected by one of k states or it is not infected at all. The
infection state of each leaf is independently distributed according to a
probability vector p=(p_1,...,p_{k+1}). The remaining nodes become infected or
not via annihilation and coalescence: nodes whose two children have the same
state (infected or not) are infected (or not) by this state; nodes whose two
children have different states are not infected; nodes whose only one of the
children is infected are infected by this state. In this note we characterize,
for every p, the limiting distribution at the root node of the tree as the
height n goes to infinity.
  We also consider a variant of the model when k=2 and a mutation can happen,
with a fixed probability q, at each infection step. We characterize, in terms
of p and q, the limiting distribution at the root node of the tree as the
height n goes to infinity.
  The distribution at the root node is driven by a dynamical system, and the
proofs rely on the analysis of this dynamics.


title: Lecture Notes on Free Probability

abstract: Lecture notes for a graduate course lectured at Stanford University.


title: Isometric Embeddings in Bounded Cohomology

abstract:
  This paper is devoted to the construction of norm-preserving maps between
bounded cohomology groups. For a graph of groups with amenable edge groups we
construct an isometric embedding of the direct sum of the bounded cohomology of
the vertex groups in the bounded cohomology of the fundamental group of the
graph of groups. With a similar technique we prove that if (X,Y) is a pair of
CW-complexes and the fundamental group of each connected component of Y is
amenable, the isomorphism between the relative bounded cohomology of (X,Y) and
the bounded cohomology of X in degree at least 2 is isometric. As an
application we provide easy and self-contained proofs of Gromov Equivalence
Theorem and of the additivity of the simplicial volume with respect to gluings
along \pi_1-injective boundary components with amenable fundamental group.


title:
An electrostatic depiction of the validity of the Riemann Hypothesis and
  a formula for the N-th zero at large N

abstract:
  We construct a vector field E from the real and imaginary parts of an entire
function xi (z) which arises in the quantum statistical mechanics of
relativistic gases when the spatial dimension d is analytically continued into
the complex z plane. This function is built from the Gamma and Riemann zeta
functions and is known to satisfy the functional identity xi (z) = xi (1-z). E
satisfies the conditions for a static electric field. The structure of E in the
critical strip is determined by its behavior near the Riemann zeros on the
critical line Re (z) = 1/2, where each zero can be assigned a + or - vorticity
of a related pseudo-magnetic field. Using these properties, we show that a
hypothetical Riemann zero that is off the critical line leads to a frustration
of this "electric" field.
  We formulate our argument more precisely in terms of the potential Phi
satisfying E = - gradient Phi, and construct Phi explicitly. One outcome of our
analysis is a formula for the n-th zero on the critical line for large n
expressed as the solution of a simple transcendental equation. Riemann's
counting formula for the number of zeros on the entire critical strip can be
derived from this formula. Our result is much stronger than Riemann's counting
formula, since it provides an estimate of the n-th zero along the critical
line.
  This provides a simple way to estimate very high zeros to very good accuracy,
and we estimate the 10^{10^6}-th one.


title: Consistent NEC-violation: towards creating a universe in the laboratory

abstract:
  Null Energy Condition (NEC) can be violated in a consistent way in models
with unconventional kinetic terms, notably, in Galileon theories and their
generalizations. We make use of one of these, the scale-invariant kinetic
braiding model, to discuss whether a universe can in principle be created by
man-made processes. We find that even though the simplest models of this sort
can have both healthy Minkowski vacuum and consistent NEC-violating phase,
there is an obstruction for creating a universe in a straightforward fashion.
To get around this obstruction, we design a more complicated model, and present
a scenario for the creation of a universe in the laboratory.


title:
Multidimensional high harmonic spectroscopy: A semi-classical
  perspective on measuring multielectron rearrangement upon ionization

abstract:
  High harmonic spectroscopy has the potential to combine attosecond temporal
with sub-Angstrom spatial resolution of the early nuclear and multielectron
dynamics in molecules. It involves strong field ionization of the molecule by
the IR laser field followed by time-delayed recombination of the removed
electron with the molecular ion. The time-delay is controlled on the attosecond
time scale by the oscillation of the IR field and is mapped into the harmonic
number, providing a movie of molecular dynamics between ionization and
recombination. One of the challenges in the analysis of high harmonic signal
stems from the fact that the complex dynamics of both ionization and
recombination with their multiple observables are entangled in the harmonic
signal. Disentangling this information requires multidimensional approach,
capable of mapping ionization and recombination dynamics into different
independent parameters. We suggest multidimensional high harmonic spectroscopy
as a tool for characterizing of ionization and recombination processes
separately allowing for simultaneous detection of both the ionization delays
and sub-cycle ionization rates. Our method extends the capability of the two
dimensional (2D) set-up suggested recently by Shafir et al on reconstructing
ionization delays, while keeping the reconstruction procedure as simple as in
the original proposal. The scheme is based on the optimization of the high
harmonic signal in orthogonally polarized strong fundamental and relatively
weak multicolour control fields.


title: Cloud Computing Benefits for Educational Institutions

abstract:
  Education today is becoming completely associated with the Information
Technology on the content delivery, communication and collaboration. The need
for servers, storage and software are highly demanding in the universities,
colleges and schools. Cloud Computing is an Internet based computing, whereby
shared resources, software and information, are provided to computers and
devices on-demand, like the electricity grid. Currently, IaaS (Infrastructure
as a Service), PaaS (Platform as a Service) and SaaS (Software as a Service)
are used as business model for Cloud Computing. The paper also introduces the
cloud computing infrastructure provided by Microsoft, Google and Amazon Web
Service. In this paper we will review the features the educational institutions
can use from the cloud computing providers to increase the benefits of students
and teachers.


title: A tougher challenge to 3-manifold topologists and group algebraists

abstract:
  This paper poses some basic questions about instances (hard to find) of a
special problem in 3-manifold topology. "Important though the general concepts
and propositions may be with the modern industrious passion for axiomatizing
and generalizing has presented us ... nevertheless I am convinced that the
special problems in all their complexity constitute the stock and the core of
mathematics; and to master their difficulty requires on the whole the harder
labor." Hermann Weyl 1885-1955, cited in the preface of the first edition
(1939) of A. N. Whitehead's book {\em The classical groups: their invariants
and representations} \cite{whitehead1997}.
  In this paper I focus on new uncertainties left unanswered in L. Lins thesis
\cite{lins2007blink} on the homemorphism problem of eleven concrete pairs of
closed orientable 3-manifolds induced by 3-connected monochromatic {\em blinks}
(\cite{kauffman1994tlr}). The eleven HG8QI-classes are the only doubts left in
the thesis, but the first two of them were solved few days ago and in this work
I report on their solutions. We also include an appendix which can be used to
import all the links of this paper into SnapPy. The appendix was obtained by
drawing the links in SnapPy, work performed by C. Nascimento.


title:
On the Finite Dimensionality of Spaces of Absolutely Convergent Fourier
  Transforms

abstract:
  We extend the result of K. Karlander [Math. Scand. 80 (1997)] regarding
finite dimensionality of spaces of absolutely convergent Fourier transforms.


title:
Dark matter distributions around massive black holes: A general
  relativistic analysis

abstract:
  The cold dark matter at the center of a galaxy will be redistributed by the
presence of a massive black hole. The redistribution may be determined using an
approach pioneered by Gondolo and Silk: begin with a model distribution
function for the dark matter, and ``grow'' the black hole adiabatically,
holding the adiabatic invariants of the motion constant. Unlike the approach of
Gondolo and Silk, which adopted Newtonian theory together with ad hoc
correction factors to mimic general relativistic effects, we carry out the
calculation fully relativistically, using the exact Schwarzschild geometry of
the black hole. We find that the density of dark matter generically vanishes at
r=2R_S, not 4R_S as found by Gondolo and Silk, where R_S is the Schwarzschild
radius, and that the spike very close to the black hole reaches significantly
higher densities. We apply the relativistic adiabatic growth framework to
obtain the final dark matter density for both cored and cusped initial
distributions. Besides the implications of these results for indirect detection
estimates, we show that the gravitational effects of such a dark matter spike
are significantly smaller than the relativistic effects of the black hole,
including frame dragging and quadrupolar effects, for stars orbiting close to
the black hole that might be candidates for testing the black hole no-hair
theorems.


title: On weakly maximal representations of surface groups

abstract:
  We introduce and study a new class of representations of surface groups into
Lie groups of Hermitian type, called {\em weakly maximal} representations. We
prove that weakly maximal representations are discrete and injective and we
describe the structure of the Zariski closure of their image. Furthermore we
prove that the set of weakly maximal representations is a closed subset of the
representation variety and describe its relation to other geometrically
significant subsets of the representation variety.


title:
The location of Asteroidal Belt Comets (ABCs), in a comets' evolutionary
  diagram: The Lazarus Comets

abstract:
  There is a group of newly recognized asteroids in the main belt that are
exhibiting cometary characteristics. We will call them Asteroidal Belt Comets
or ABCs. An analysis of their orbital and physical properties has resulted in
the following conclusion: (1) We define the detached group, DG, as objects
sublimating water that have aphelion distances Q < 4.5 AU. The detached group
contains all the ABCs traditionally recognized, plus a few other members like
2P and 107P. With the above definition there are 11 members of the ABC group:
2P, 107P, 133P, 176P, 233P, 238P, C/2008 R1, C/2010 R2, 2011 CR42, 3200, and
300163 = 2006 VW139. (2) Active objects sublimate ices except collisioned
asteroids, CA, P/2010 A2, 596 Scheila, and P/2012 F5 Gibbs, and 3200 Phaethon
who was active due to sputtering. (3)We have calibrated the black body (color)
temperature of comets vs perihelion distance, R. We find T = 325+-5 K/SQRT(R).
(4) Using a mathematical model of the thermal wave we calculate the thickness
of the dust layer on comet nuclei as 2.0+-0.5 m for comet 107P, 4.7+-1.2 m for
comet 133P and 1.9+-0.5 m for a sample of 9 comets. (5) We have located three
ABCs in an evolutionary diagram of Remaining Revolutions, RR, vs Water-Budget
Age, WB-AGE. ABCs lie together in the upper right hand corner of the diagram.
(6) RR vs WB-AGE defines the region of the graveyard of comets, objects with
1000 cy < WB-AGE (cy stands for comet years). Five members belong to the
graveyard, 107P, 133P, 2006 VW139, D/1891 W1 Blanpain and 3200 Phaeton. Thus we
propose that the asteroidal belt contains an enormous graveyard of ancient
dormant and extinct rocky comets, that turn on (are rejuvenated), in response
to a diminution of their perihelion distance.


title: A nonsmooth two-sex population model

abstract:
  This paper considers a two-dimensional logistic model to study populations
with two genders. The growth behavior of a population is guided by two coupled
ordinary differential equations given by a non-differentiable vector field
whose parameters are the secondary sex ratio (the ratio of males to females at
time of birth), inter-, intra- and outer-gender competitions, fertility and
mortality rates and a mating function. For the case where there is no
inter-gender competition and the mortality rates are negligible with respect to
the density-dependent mortality, using geometrical techniques, we analyze the
singularities and the basin of attraction of the system, determining the
relationships between the parameters for which the system presents an
equilibrium point. In particular, we describe conditions on the secondary sex
ratio and discuss the role of the average number of female sexual partners of
each male for the conservation of a two-sex species.


title: (k,m)-connectivity in Mobile Clustered Wireless Networks

abstract:
  This paper has been withdrawn by the author due to a crucial error in the
calculation of Equation (28). We propose a novel concept of
$(k,m)$-connectivity in mobile clustered wireless networks, in which there are
$n$ mobile cluster members and $n^d$ static cluster heads, where $k,m,d$ are
all positive constants and $k\leq m$. $(k,m)$-connectivity signifies that in a
time period consisting of $m$ time slots, there exist at least $k$ time slots
for each cluster member and in any one of these $k$ time slots the cluster
member can directly communicate with at least one cluster head. We investigate
the critical transmission range of asymptotic $(k,m)$-connectivity when cluster
members move according to random walk or i.i.d. mobility model. Under random
walk mobility, we propose two general heterogeneous velocity models in which
cluster members may move with different velocities. Under both mobility models,
we also define weak and strong parameters conditions, resulting in different
accuracies of evaluations on the probability that the network is asymptotically
$(k,m)$-connected, denoted as $P(\mathcal {C})$ below for simplicity. For both
mobilities, under weak parameters condition, we provide bounds on $P(\mathcal
{C})$ and derive the critical transmission range for $(k,m)$-connectivity. For
random walk mobility with one kind of velocity model and i.i.d. mobility, under
strong parameters condition, we present a precise asymptotic probability
distribution of $P(\mathcal {C})$ in terms of the transmission radius. Our
results offer fundamental insights and theoretical guidelines on design of
large-scale wireless networks.


title: Oscillating mushrooms: adiabatic theory for a non-ergodic system

abstract:
  Can elliptic islands contribute to sustained energy growth as parameters of a
Hamiltonian system slowly vary with time? In this paper we show that a mushroom
billiard with a periodically oscillating boundary accelerates the particle
inside it exponentially fast. We provide an estimate for the rate of
acceleration. Our numerical experiments confirms the theory. We suggest that a
similar mechanism applies to general systems with mixed phase space.


title: An inhomogeneous contact process model for speciation

abstract:
  We propose the following model for speciation and extinction. Birth and
deaths occur according to spatially inhomogeneous contact rates. We assume that
the ratio of the birth rate over the death rate at a site converges to some
limit as the site goes to infinity. We show that the existence of a phase
transition depends critically on the value of this limit.


title:
Quantum-spacetime scenarios and soft spectral lags of the remarkable
  GRB130427A

abstract:
  We process the Fermi LAT data on GRB130427A using the Fermi Science Tools,
and we summarize some of the key facts that render this observation truly
remarkable, especially concerning the quality of information on high-energy
emission by GRBs. We then exploit this richness for a search of spectral lags,
of the type that has been recently of interest for its relevance in
quantum-spacetime research. We do find some evidence of systematic soft
spectral lags: when confining the analysis to photons of energies greater than
5 GeV there is an early hard development of minibursts within this long burst.
The effect turns out to be well characterized quantitatively by a linear
dependence, within such a miniburst, of the detection time on energy. With the
guidance of our findings for GRB130427A we can then recognize that some support
for these features is noticeable also in earlier Fermi-LAT GRBs, particularly
for the presence of hard minibursts whose onset is marked by the highest-energy
photon observed for the GRB. A comparison of these features for GRBs at
different redshifts provides some encouragement for a redshift dependence of
the effects of the type expected for a quantum-spacetime interpretation, but
other aspects of the analysis appear to invite the interpretation as intrinsic
properties of GRBs.


title:
Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions
  at the LHC

abstract:
  Phenomenological Tsallis fits to the CMS, ATLAS, and ALICE transverse
momentum spectra of hadrons for pp collisions at LHC were recently found to
extend over a large range of the transverse momentum. We investigate whether
the few degrees of freedom in the Tsallis parametrization may arise from the
relativistic parton-parton hard-scattering and related processes. The effects
of the multiple hard-scattering and parton showering processes on the power law
are discussed. We find empirically that whereas the transverse spectra of both
hadrons and jets exhibit power-law behavior of 1/pT^n at high pT, the power
indices n for hadrons are systematically greater than those for jets, for which
n~4-5.


title: An Overview of the Dwarf Galaxy Survey

abstract:
  The Dwarf Galaxy Survey (DGS) program is studying low-metallicity galaxies
using 230h of far-infrared (FIR) and submillimetre (submm) photometric and
spectroscopic observations of the Herschel Space Observatory and draws to this
a rich database of a wide range of wavelengths tracing the dust, gas and stars.
This sample of 50 galaxies includes the largest metallicity range achievable in
the local Universe including the lowest metallicity (Z) galaxies, 1/50 Zsun,
and spans 4 orders of magnitude in star formation rates. The survey is designed
to get a handle on the physics of the interstellar medium (ISM) of low
metallicity dwarf galaxies, especially on their dust and gas properties and the
ISM heating and cooling processes. The DGS produces PACS and SPIRE maps of
low-metallicity galaxies observed at 70, 100, 160, 250, 350, and 500 mic with
the highest sensitivity achievable to date in the FIR and submm. The FIR
fine-structure lines, [CII] 158 mic, [OI] 63 mic, [OI] 145 mic, [OIII] 88 mic,
[NIII] 57 mic and [NII] 122 and 205 mic have also been observed with the aim of
studying the gas cooling in the neutral and ionized phases. The SPIRE FTS
observations include many CO lines (J=4-3 to J=13-12), [NII] 205 mic and [CI]
lines at 370 and 609 mic. This paper describes the sample selection and global
properties of the galaxies, the observing strategy as well as the vast
ancillary database available to complement the Herschel observations. The
scientific potential of the full DGS survey is described with some example
results included.


title: Bulk Composition of GJ 1214b and other sub-Neptune exoplanets

abstract:
  GJ1214b stands out among the detected low-mass exoplanets, because it is, so
far, the only one amenable to transmission spectroscopy. Up to date there is no
consensus about the composition of its envelope although most studies suggest a
high molecular weight atmosphere. In particular, it is unclear if hydrogen and
helium are present or if the atmosphere is water dominated. Here, we present
results on the composition of the envelope obtained by using an internal
structure and evolutionary model to fit the mass and radius data. By examining
all possible mixtures of water and H/He, with the corresponding opacities, we
find that the bulk amount of H/He of GJ1214b is at most 7% by mass. In general,
we find the radius of warm sub-Neptunes to be most sensitive to the amount of
H/He. We note that all (Kepler-11b,c,d,f, Kepler-18b, Kepler-20b, 55Cnc-e,
Kepler-36c and Kepler-68b) but two (Kepler-11e and Kepler-30b) of the
discovered low-mass planets so far have less than 10% H/He. In fact, Kepler-11e
and Kepler-30b have 10-18% and 5-15% bulk H/He. Conversely, little can be
determined about the H2O or rocky content of sub-Neptune planets. We find that
although a 100% water composition fits the data for GJ1214b, based on formation
constraints the presence of heavier refractory material on this planet is
expected, and hence, so is a component lighter than water required. A robust
determination by transmission spectroscopy of the composition of the upper
atmosphere of GJ1214b will help determine the extent of compositional
segregation between the atmosphere and envelope.


title: On permutizers of subgroups of finite groups

abstract:
  Finite groups with given systems of permuteral and strongly permuteral
subgroups are studied. New characterizations of w-supersoluble and supersoluble
groups are received.


title: pK+\Lambda final state: towards the extraction of the ppK- contribution

abstract:
  The reaction p(@3.5\,GeV)+p -> p+\Lambda + K^+ can be studied to search for
the existence of kaonic bound states like ppK^- leading to this final state.
This effort has been motivated by the assumption that in p+p collisions the
\Lambda(1405) resonance can act as a doorway to the formation of the kaonic
bound states. The status of this analysis within the HADES collaboration, with
particular emphasis on the comparison to simulations, is shown in this work and
the deviation method utilized by the DISTO collaboration in a similar analysis
is discussed. The outcome suggests the employment of a partial wave analysis to
disentangle the different contributions to the measured pK^+\Lambda final
state.


title: Multiple lattice tiles and Riesz bases of exponentials

abstract:
  Suppose $\Omega\subseteq\RR^d$ is a bounded and measurable set and $\Lambda
\subseteq \RR^d$ is a lattice. Suppose also that $\Omega$ tiles multiply, at
level $k$, when translated at the locations $\Lambda$. This means that the
$\Lambda$-translates of $\Omega$ cover almost every point of $\RR^d$ exactly
$k$ times. We show here that there is a set of exponentials $\exp(2\pi i t\cdot
x)$, $t\in T$, where $T$ is some countable subset of $\RR^d$, which forms a
Riesz basis of $L^2(\Omega)$. This result was recently proved by Grepstad and
Lev under the extra assumption that $\Omega$ has boundary of measure 0, using
methods from the theory of quasicrystals. Our approach is rather more
elementary and is based almost entirely on linear algebra. The set of
frequencies $T$ turns out to be a finite union of shifted copies of the dual
lattice $\Lambda^*$. It can be chosen knowing only $\Lambda$ and $k$ and is the
same for all $\Omega$ that tile multiply with $\Lambda$.


title: Exact fuzzy solution of the fuzzy heat-like equations

abstract:
  In this paper, the Buckley-Feuring method (BFM) and the variational iteration
method (VIM) are used for find exact fuzzy solution of the fuzzy heat-like
equations in one and two dimensions. Several examples are given to show the new
theorem of Buckley-Feuring solution and the Seikkala solution. The results
obtained in all cases show the reliability and the efficiency of this methods.


title:
Adaptive Metropolis-Hastings Sampling using Reversible Dependent Mixture
  Proposals

abstract:
  This article develops a general-purpose adaptive sampler that approximates
the target density by a mixture of multivariate t densities. The adaptive
sampler is based on reversible proposal distributions each of which has the
mixture of multivariate t densities as its invariant density. The reversible
proposals consist of a combination of independent and correlated steps that
allow the sampler to traverse the parameter space efficiently as well as
allowing the sampler to keep moving and locally exploring the parameter space.
We employ a two-chain approach, in which a trial chain is used to adapt the
proposal densities used in the main chain. Convergence of the main chain and a
strong law of large numbers are proved under reasonable conditions, and without
imposing a Diminishing Adaptation condition. The mixtures of multivariate t
densities are fitted by an efficient Variational Approximation algorithm in
which the number of components is determined automatically. The performance of
the sampler is evaluated using simulated and real examples. Our autocorrelated
framework is quite general and can handle mixtures other than multivariate t.


title: Generalized solution of a mixed problem for linear hyperbolic system

abstract:
  In the first part of this article, we will prove an existence-uniqueness
result for generalized solutions of a mixed problem for linear hyperbolic
system in the Colombeau algebra. In the second part, we apply this result to a
wave propagation problem in a discontinuous environment.


title: Full Square Rhomboids and Their Algebraic Expressions

abstract:
  The paper investigates relationship between algebraic expressions and graphs.
We consider a digraph called a full square rhomboid that is an example of
non-series-parallel graphs. Our intention is to simplify the expressions of
full square rhomboids and eventually find their shortest representations. With
that end in view, we describe two decomposition methods for generating
expressions of full square rhomboids and carry out their comparative analysis.


title: Extensions of amenable groups by recurrent groupoids

abstract:
  We show that amenability of a group acting by homeomorphisms can be deduced
from a certain local property of the action and recurrency of the orbital
Schreier graphs. This covers amenability of a wide class groups, the
amenability of which was an open problem, as well as unifies many known
examples to one general proof. In particular, this includes Grigorchuk's group,
Basilica group, the full topological group of Cantor minimal system, groups
acting on rooted trees by bounded automorphisms, groups generated by finite
automata of linear activity growth, groups that naturally appear in holomorphic
dynamics.


title: The local Langlands correspondence for inner forms of $SL_n$

abstract:
  Let F be a non-archimedean local field. We establish the local Langlands
correspondence for all inner forms of the group $SL_n (F)$. It takes the form
of a bijection between, on the one hand, conjugacy classes of Langlands
parameters for $SL_n (F)$ enhanced with an irreducible representation of an
S-group and, on the other hand, the union of the spaces of irreducible
admissible representations of all inner forms of $SL_n (F)$. An analogous
result is shown in the archimedean case.
  To settle the case where F has positive characteristic, we employ the method
of close fields. We prove that this method is compatible with the local
Langlands correspondence for inner forms of $GL_n (F)$, when the fields are
close enough compared to the depth of the representations.


title: On the equation $Du+Xu=0$ and its relation to Schroedinger ground states

abstract:
  We present some simple relations between the absolute minimizers of the
functional $||Du+Xu||$, where $X$ is a vector field on $R^n$, and ground state
solutions to the (non-relativistic) Schroedinger equation. This article is a
byproduct of the study of the more general functional $||ADu+F'(u)X||$.


title:
Particlelike distributions of the Higgs field nonminimally coupled to
  gravity

abstract:
  When the Higgs field is nonminimally coupled to gravity, there exists a
family of spherically symmetric particlelike solutions to the field equations.
These monopoles are the only globally regular and asymptotically flat
distributions with finite energy of the Higgs field around compact objects.
Moreover, spontaneous scalarization is strongly amplified for specific values
of their mass and compactness.


title:
Collider signatures of mirror fermions in the framework of Left Right
  Mirror Model

abstract:
  The idea of left-right symmetry with mirror fermions is very appealing from
the symmetry point of view. In this picture, unlike the Standard Model, the
symmetry is not only left-right symmetric, but each left handed fermion
multiplet is accompanied by new right handed fermion multiplet of opposite
chirality. In this work, we consider a gauge symmetry, $SU(3)_c \otimes
SU(2)_L\otimes SU(2)_R \otimes U(1)_{Y^\prime}$ supplemented by a discrete
$Z_2$ symmetry. Instead of having right handed multiplets for each left handed
multiplets of the same fermions as in the usual left-right model, the mirror
model include right handed doublets involving new fermions (called mirrors),
and similarly for each right handed singlet, there are corresponding mirror
singlets. Thus the gauge anomaly is naturally absent in this model, and the
model also provide a solution for the strong CP problem because of parity
conservation. The first stage of symmetry breaking is achieved by a doublet
mirror Higgs with a vacuum expectation value $\simeq 10^7$ GeV, needed to
explain the neutrino mass $\simeq 10^{-11}$ GeV. The mirror fermions can mix
with the ordinary fermions via a scalar which is singlet under the gauge
symmetry. In this model, only light mirror particles, having masses in the few
hundred GeV range are $\hat{e}, \hat{u}, \hat{d}$ with well-defined spectrum.
$\hat{u}$ and $\hat{d}$ can be pair produced at the LHC, and can be detected as
($u Z$) and ($d Z$) resonances. We discuss the signals of these mirror fermions
at the LHC, and find that the reach at the LHC can be as large as $m_{\hat
q}\simeq 800$ GeV.


title:
Adaptive Frequency Domain Detectors for SC-FDE in Multiuser DS-UWB
  Systems with Structured Channel Estimation and Direct Adaptation

abstract:
  In this paper, we propose two adaptive detection schemes based on
single-carrier frequency domain equalization (SC-FDE) for multiuser
direct-sequence ultra-wideband (DS-UWB) systems, which are termed structured
channel estimation (SCE) and direct adaptation (DA). Both schemes use the
minimum mean square error (MMSE) linear detection strategy and employ a cyclic
prefix. In the SCE scheme, we perform the adaptive channel estimation in the
frequency domain and implement the despreading in the time domain after the
FDE. In this scheme, the MMSE detection requires the knowledge of the number of
users and the noise variance. For this purpose, we propose simple algorithms
for estimating these parameters. In the DA scheme, the interference suppression
task is fulfilled with only one adaptive filter in the frequency domain and a
new signal expression is adopted to simplify the design of such a filter.
Least-mean squares (LMS), recursive least squares (RLS) and conjugate gradient
(CG) adaptive algorithms are then developed for both schemes. A complexity
analysis compares the computational complexity of the proposed algorithms and
schemes, and simulation results for the downlink illustrate their performance.


title:
New exponential variable transform methods for functions with endpoint
  singularities

abstract:
  The focus of this article is the approximation of functions which are
analytic on a compact interval except at the endpoints. Typical numerical
methods for approximating such functions depend upon the use of particular
conformal maps from the original interval to either a semi-infinite or an
infinite interval, followed by an appropriate approximation procedure on the
new region. We first analyse the convergence of these existing methods and show
that, in a precisely defined sense, they are sub-optimal. Specifically, they
exhibit poor resolution properties, by which we mean that many more degrees of
freedom are required to resolve oscillatory functions than standard
approximation schemes for analytic functions such as Chebyshev interpolation.
  To remedy this situation, we introduce two new transforms; one for each of
the above settings. We provide full convergence results for these new
approximations and then demonstrate that, for a particular choice of
parameters, these methods lead to substantially better resolution properties.
Finally, we show that optimal resolution power can be achieved by an
appropriate choice of parameters, provided one forfeits classical convergence.
Instead, the resulting method attains a finite, but user-controlled accuracy
specified by the parameter choice.


title: Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems

abstract:
  In this work we characterize a full Kostant-Toda system in terms of a family
of matrix polynomials orthogonal with respect to a complex matrix measure. In
order to study the solution of this dynamical system we give explicit
expressions for the Weyl function and we also obtain, under some conditions, a
representation of the vector of linear functionals associated with this system.


title:
On the Optimal Representation of Algebraic Expressions of Fibonacci
  Graphs

abstract:
  The paper investigates relationship between algebraic expressions and graphs.
We consider a digraph called a Fibonacci graph which gives a generic example of
non-series-parallel graphs. Our intention in this paper is to simplify the
expressions of Fibonacci graphs and eventually find their shortest
representations. With that end in view, we describe the optimal decomposition
method for generating Fibonacci graph expressions that is conjectured to
provide these representations. Proof (or disproof) of this conjecture is
presented as an open problem.


title: Embedding cycles in finite planes

abstract:
  We define and study embeddings of cycles in finite affine and projective
planes. We show that for all $k$, $3\le k\le q^2$, a $k$-cycle can be embedded
in any affine plane of order $q$. We also prove a similar result for finite
projective planes: for all $k$, $3\le k\le q^2+q+1$, a $k$-cycle can be
embedded in any projective plane of order $q$.


title: Fibonacci Graphs and their Expressions

abstract:
  The paper investigates relationship between algebraic expressions and graphs.
We consider a digraph called a Fibonacci graph which gives a generic example of
non-series-parallel graphs. Our intention in this paper is to simplify the
expressions of Fibonacci graphs and eventually find their shortest
representations. With that end in view, we describe the number of methods for
generating Fibonacci graph expressions and carry out their comparative
analysis.


title: Boosting with the Logistic Loss is Consistent

abstract:
  This manuscript provides optimization guarantees, generalization bounds, and
statistical consistency results for AdaBoost variants which replace the
exponential loss with the logistic and similar losses (specifically, twice
differentiable convex losses which are Lipschitz and tend to zero on one side).
  The heart of the analysis is to show that, in lieu of explicit regularization
and constraints, the structure of the problem is fairly rigidly controlled by
the source distribution itself. The first control of this type is in the
separable case, where a distribution-dependent relaxed weak learning rate
induces speedy convergence with high probability over any sample. Otherwise, in
the nonseparable case, the convex surrogate risk itself exhibits
distribution-dependent levels of curvature, and consequently the algorithm's
output has small norm with high probability.


title:
The C-flame Quenching by Convective Boundary Mixing in Super-AGB Stars
  and the Formation of Hybrid C/O/Ne White Dwarfs and SN Progenitors

abstract:
  After off-center C ignition in the cores of super-AGB stars the C flame
propagates all the way down to the center, trailing behind it the C-shell
convective zone, and thus building a degenerate ONe core. This standard picture
is obtained in stellar evolution simulations if the bottom C-shell convection
boundary is assumed to be a discontinuity associated with a strict
interpretation of the Schwarzschild condition for convective instability.
However, this boundary is prone to additional mixing processes, such as
thermohaline convection and convective boundary mixing. Using hydrodynamic
simulations we show that, contrary to previous results, thermohaline mixing is
too inefficient to interfere with the C-flame propagation. However, even a
small amount of convective boundary mixing removes the physical conditions
required for the C-flame propagation all the way to the center. This result
holds even if we allow for some turbulent heat transport in the CBM region. As
a result, super AGB stars build in their interiors hybrid C-O-Ne degenerate
cores composed of a relatively large CO core (M_CO ~ 0.2 M_sun) surrounded by a
thick ONe zone (M_ONe ~ 0.85 M_sun) with another thin CO layer above. If
exposed by mass loss, these cores will become hybrid C-O-Ne white dwarfs.
Otherwise, the ignition of C-rich material in the central core, surrounded by
the thick ONe zone, may trigger a thermonuclear supernova explosion. The
quenching of the C-flame may have implications for the ignition mechanism of SN
Ia in the double-degenerate merger scenario.


title: On square root domains for non-self-adjoint Sturm-Liouville operators

abstract:
  We determine square root domains for non-self-adjoint Sturm--Liouville
operators of the type $$ L_{p,q,r,s} = -
\frac{d}{dx}p\frac{d}{dx}+r\frac{d}{dx}-\frac{d}{dx}s+q $$ in $L^2((c,d);dx)$,
where either $(c,d)$ coincides with the real line $\mathbb{R}$, the half-line
$(a,\infty)$, $a \in \mathbb{R}$, or with the bounded interval $(a,b) \subset
\mathbb{R}$, under very general conditions on the coefficients $q, r, s$. We
treat Dirichlet and Neumann boundary conditions at $a$ in the half-line case,
and Dirichlet and/or Neumann boundary conditions at $a,b$ in the final interval
context. (In the particular case $p=1$ a.e.\ on $(a,b)$, we treat all separated
boundary conditions at $a, b$.)


title:
Stable Hierarchical Model Predictive Control Using an Inner Loop
  Reference Model and Lambda-Contractive Terminal Constraint Sets

abstract:
  This paper proposes a novel hierarchical model predictive control (MPC)
strategy that guarantees overall system stability. This method differs
significantly from previous approaches to guaranteeing overall stability, which
have relied upon a multi-rate framework where the inner loop (low level) is
updated at a faster rate than the outer loop (high level), and the inner loop
must reach a steady-state within each outer loop time step. In contrast, the
method proposed in this paper is aimed at stabilizing the origin of an error
system characterized by the difference between the inner loop state and the
state specified by a full-order reference model. This makes the method
applicable to systems with reduced levels of time scale separation. This paper
proposes a framework for guaranteeing stability that leverages the use of the
reference model, in conjunction with lambda-contractive constraint sets for
both the inner and outer loops. The effectiveness of the proposed reference
model-based strategy is shown through simulation on an existing stirred tank
reactor problem, where we demonstrate that the MPC optimization problem remains
feasible and that the system remains stable and continues to perform well when
time scale separation between the inner and outer loops is reduced.


title:
The evolution of the global stellar mass function of star clusters: an
  analytic description

abstract:
  The evolution of the global stellar mass function (MF) of star clusters is
studied based on a large set of N-body simulations of clusters with a range of
initial masses, initial concentrations, in circular or elliptical orbits in
different tidal environments. Models with and without initial mass segregation
are included. The depletion of low mass stars in initially Roche-volume (tidal)
filling clusters starts typically on a time scale of the order of the core
collapse time. In clusters that are initially underfilling their Roche-volume
it takes longer because the clusters have to expand to their tidal radii before
dynamical mass loss becomes important.
  We introduce the concept of the differential mass function (DMF), which
describes the changes with respect to the initial mass function (IMF). We show
that the evolution of the DMF can be described by a set of very simple analytic
expressions that are valid for a wide range of initial cluster parameters and
for different IMFs. The agreement between this description and the models is
very good, except for initially Roche-volume underfilling clusters that are
severely mass segregated.


title:
Ferromagnetism and Fermi-surface transition in the periodic Anderson
  model: Second-order phase transition without symmetry breaking

abstract:
  We study ferromagnetism in the periodic Anderson model with and without a
magnetic field by the Gutzwiller theory. We find three ferromagnetic phases: a
weak ferromagnetic phase (FM0), a half-metallic phase without Fermi surface for
the majority spin (FM1), and a ferromagnetic phase with almost completely
polarized f-electrons (FM2). The Fermi surface changes from the large
Fermi-surface in the paramagnetic state to the small Fermi-surface in FM2. We
also find that the transitions between the ferromagnetic phases can be
second-order phase transitions in spite of the absence of symmetry breaking.
While we cannot define an order parameter for such transitions in an ordinary
way, the topology of the Fermi surface characterizes the transitions, i.e.,
they are Lifshitz transitions.


title:
Experimental measurement of radiation dose in a dedicated breast CT
  system

abstract:
  Radiation dose is an important performance indicator of a dedicated breast CT
(DBCT). In this paper, the method of putting thermoluminescent dosimeters (TLD)
into a breast shaped PMMA phantom to study the dose distribution in breasts was
improved by using smaller TLDs and a new half-ellipsoid PMMA phantom. Then the
weighted CT dose index (CTDIw) was introduced to average glandular assessment
in DBCT for the first time and two measurement modes were proposed for
different sizes of breasts. The dose deviations caused by using cylindrical
phantoms were simulated using the Monte Carlo method and a set of correction
factors were calculated. The results of the confirmatory measurement with a
cylindrical phantom (11cm/8cm) show that CTDIw gives a relatively conservative
overestimate of the average glandular dose comparing to the results of Monte
Carlo simulation and TLDs measurement. But with better practicability and
stability, the CTDIw is suitable for dose evaluations in daily clinical
practice. Both of the TLDs and CTDIw measurements demonstrate that the
radiation dose of our DBCT system is lower than conventional two-view
mammography.


title:
An Exactly Solvable Discrete Stochastic Process with Correlated
  Properties

abstract:
  We propose a correlated stochastic process of which the novel non-Gaussian
probability mass function is constructed by exactly solving moment generating
function. The calculation of cumulants and auto-correlation shows that the
process is convergent and scale invariant in the large but finite number limit.
We demonstrate that the model consistently explains both the distribution and
the correlation of discrete financial time-series data, and predicts the data
distribution with high precision in the small number regime.


title:
Normal state spin dynamics in the iron-pnictide superconductors
  BaFe2(As1-xPx)2 and Ba(Fe1-xCox)2As2 probed with NMR measurements

abstract:
  The NMR results in iron pnictides BaFe2(As1-xPx)2 and Ba(Fe1-xCox)2As2 are
analyzed based on the self-consistent renormalization (SCR) spin fluctuation
theory. The temperature dependence of the NMR relaxation rate (T_1)^{-1} as
well as the electrical resistivity is well reproduced by a SCR model where
two-dimensional antiferromagnetic (AF) spin fluctuations are dominant. The
successful description of the crossover feature from non-Fermi liquid to Fermi
liquid behavior strongly suggests that low-lying spin fluctuations in
BaFe2(As1-xPx)2 and Ba(Fe1-xCox)2As2 possess an itinerant AF nature, and that
chemical substitution in the two compounds tunes the distance of these systems
to an AF quantum critical point. The close relationship between spin
fluctuations and superconductivity is discussed compared with the other
unconventional superconductors, cuprate and heavy fermion superconductors. In
addition, it is suggested that magnetism and lattice instability in these
pnictides are strongly linked via orbital degrees of freedom.


title:
Recent Results on Douglas-Rachford Methods for Combinatorial
  Optimization Problems

abstract:
  We discuss recent positive experiences applying convex feasibility algorithms
of Douglas--Rachford type to highly combinatorial and far from convex problems.


title:
Fractional nonlinear filtering problems and their associated fractional
  Zakai equations

abstract:
  In this paper we discuss fractional generalizations of the filtering problem.
The "fractional" nature comes from time-changed state or observation processes,
basic ingredients of the filtering problem. The mathematical feature of the
fractional filtering problem emerges as the Riemann-Liouville fractional
derivative in the associated Zakai equation. We discuss fractional
generalizations of the filtering problem whose state and observation processes
are driven by time-changed Brownian motion or/and L\'evy process.


title: SARS-CoV originated from bats in 1998 and may still exist in humans

abstract:
  SARS-CoV is believed to originate from civets and was thought to have been
eliminated as a threat after the 2003 outbreak. Here, we show that human
SARS-CoV (huSARS-CoV) originated directly from bats, rather than civets, by a
cross-species jump in 1991, and formed a human-adapted strain in 1998. Since
then huSARS-CoV has evolved further into highly virulent strains with genotype
T and a 29-nt deletion mutation, and weakly virulent strains with genotype C
but without the 29-nt deletion. The former can cause pneumonia in humans and
could be the major causative pathogen of the SARS outbreak, whereas the latter
might not cause pneumonia in humans, but evolved the ability to co-utilize
civet ACE2 as an entry receptor, leading to interspecies transmission between
humans and civets. Three crucial time points - 1991, for the cross-species jump
from bats to humans; 1998, for the formation of the human-adapted SARS-CoV; and
2003, when there was an outbreak of SARS in humans - were found to associate
with anomalously low annual precipitation and high temperatures in Guangdong.
Anti-SARS-CoV sero-positivity was detected in 20% of all the samples tested
from Guangzhou children who were born after 2005, suggesting that weakly
virulent huSARS-CoVs might still exist in humans. These existing but undetected
SARS-CoVs have a large potential to evolve into highly virulent strains when
favorable climate conditions occur, highlighting a potential risk for the
reemergence of SARS.


title: Fluctuations in the Alpha-Effect and Grand Solar Minima

abstract:
  Parameters of a special kind of \alpha-effect known in dynamo theory as the
Babcock-Leighton mechanism are estimated using the data of sunspot catalogs.
The estimates evidence the presence of the Babcock-Leighton \alpha-effect on
the Sun. Fluctuations of the \alpha-effect are also estimated. The fluctuation
amplitude appreciably exceeds the mean value, and the characteristic time for
the fluctuations is comparable to the period of the solar rotation.
Fluctuations with the parameters found are included in a numerical model for
the solar dynamo. Computations show irregular changes in the amplitudes of the
magnetic cycles on time scales of centuries and millennia. The calculated
statistical characteristics of the grand solar minima and maxima agree with the
data on solar activity over the Holocene.


title:
On Improved Bounds on Bounded Degree Spanning Trees for Points in
  Arbitrary Dimension

abstract:
  Given points in Euclidean space of arbitrary dimension, we prove that there
exists a spanning tree having no vertices of degree greater than 3 with weight
at most 1.559 times the weight of the minimum spanning tree. We also prove that
there is a set of points such that no spanning tree of maximal degree 3 exists
that has this ratio be less than 1.447. Our central result is based on the
proof of the following claim:
  Given $n$ points in Euclidean space with one special point $V$, there exists
a Hamiltonian path with an endpoint at $V$ that is at most 1.559 times longer
than the sum of the distances of the points to $V$.
  These proofs also lead to a way to find the tree in linear time given the
minimal spanning tree.


title: Thin-disk models in an Integrable Weyl-Dirac theory

abstract:
  We construct a class of static, axially symmetric solutions representing
razor-thin disks of matter in an Integrable Weyl-Dirac theory proposed in
Found. Phys. 29, 1303 (1999). The main differences between these solutions and
the corresponding general relativistic one are analyzed, focusing on the
behavior of physical observables (rotation curves of test particles, density
and pressure profiles). We consider the case in which test particles move on
Weyl geodesics. The same rotation curve can be obtained from many different
solutions of the Weyl-Dirac theory, although some of these solutions present
strong qualitative differences with respect to the usual general relativistic
model (such as the appearance a ring-like density profile). In particular, for
typical galactic parameters all rotation curves of the Weyl-Dirac model present
Keplerian fall-off. As a consequence, we conclude that a more thorough analysis
of the problem requires the determination of the gauge function $\beta$ on
galactic scales, as well as restrictions on the test-particle behavior under
the action of the additional fields introduced by this theory.


title:
Detection of symmetry-protected topological phases in one dimension with
  multiscale entanglement renormalization

abstract:
  Symmetry-protected topological (SPT) phases are short-range entangled quantum
phases with symmetry, which have gapped excitations in the bulk and gapless
modes at the edge. In this paper, we study the SPT phases in the spin-1
Heisenberg chain with a single-ion anisotropy D, which has a quantum phase
transition between a Haldane phase and a large-D phase. Using symmetric
multiscale entanglement renormalization ansatz (MERA) tensor networks, we study
the nonlocal order parameters for time-reversal and inversion symmetry. For the
inversion symmetric MERA, we propose a brick-and-rope representation that gives
a geometrical interpretation of inversion symmetric tensors. Finally, we study
the symmetric renormalization group (RG) flow of the inversion symmetric
string-order parameter, and show that entanglement renormalization with
symmetric tensors produces proper behavior of the RG fixed-points.


title: Galois Lattices and Strongly Divisible Lattices in the Unipotent Case

abstract:
  Let p be a prime. We prove that there is an anti-equivalence between the
category of unipotent strongly divisible lattices of weight p-1 and the
category of Galois stable Z_p lattices in unipotent semi-stable representations
with Hodge-Tate weights in {0, ..., p-1}. This completes the last remaining
piece of Breuil's Conjecture(Conjecture 2.2.6 in [Bre02]).


title: Coset Constructions of Logarithmic (1,p)-Models

abstract:
  One of the best understood families of logarithmic conformal field theories
is that consisting of the (1,p) models (p = 2, 3, ...) of central charge
c_{1,p} = 1 - 6 (p-1)^2 / p. This family includes the theories corresponding to
the singlet algebras M(p) and the triplet algebras W(p), as well as the
ubiquitous symplectic fermions theory. In this work, these algebras are
realized through a coset construction.
  The W^(2)_n algebra of level k was introduced by Feigin and Semikhatov as a
(conjectured) quantum hamiltonian reduction of affine sl(n)_k, generalising the
Bershadsky-Polyakov algebra W^(2)_3. Inspired by work of Adamovic for p=3,
vertex algebras B_p are constructed as subalgebras of the kernel of certain
screening charges acting on a rank 2 lattice vertex algebra of indefinite
signature. It is shown that for p <= 5, the algebra B_p is a homomorphic image
of W^(2)_{p-1} at level -(p-1)^2 / p and that the known part of the operator
product algebra of the latter algebra is consistent with this holding for p>5
as well. The triplet algebra W(p) is then realised as a coset inside the full
kernel of the screening operator, while the singlet algebra M(p) is similarly
realised inside B_p. As an application, and to illustrate these results, the
coset character decompositions are explicitly worked out for p=2 and 3.


title: Arcsine Law as the Classical Limit for interacting Fock spaces

abstract:
  In the present paper we discuss how to generalize ``Quantum-Classical
Correspondence'' by means of the notion of interacting Fock spaces, which
associates algebraic probability theory and the theory of orthogonal
polynomials of probability measures. As an application we show that the Arcsine
Law is ``Classical Limit'' for interacting Fock spaces corresponnding to
certain kind of symmetric probability measures such as q-Gaussians. We also
discuss the case of the exponential distribution as a simple example of
asymmetric probability measures.


title:
Mean field variational Bayesian inference for support vector machine
  classification

abstract:
  A mean field variational Bayes approach to support vector machines (SVMs)
using the latent variable representation on Polson & Scott (2012) is presented.
This representation allows circumvention of many of the shortcomings associated
with classical SVMs including automatic penalty parameter selection, the
ability to handle dependent samples, missing data and variable selection. We
demonstrate on simulated and real datasets that our approach is easily
extendable to non-standard situations and outperforms the classical SVM
approach whilst remaining computationally efficient.


title:
The Rotating Outflow, Envelope and Disk in Class-0/I protostar [BHB2007]
  11 in the Pipe Nebula

abstract:
  We present the results of observations toward a low-mass Class-0/I protostar,
[BHB2007]#11 (afterwards B59#11) at the nearby (d=130 pc) star forming region,
Barnard 59 (B59) in the Pipe Nebula with the Atacama Submillimeter Telescope
Experiment (ASTE) 10 m telescope (~22" resolution) in CO(3--2), HCO+,
H13CO+(4--3), and 1.1 mm dust-continuum emissions. We also show Submillimeter
Array (SMA) data in 12CO, 13CO, C18O(2--1), and 1.3 mm dust-continuum emissions
with ~5" resolution. From ASTE CO(3--2) observations, we found that B59#11 is
blowing a collimated outflow whose axis lies almost on the plane of the sky.
The outflow traces well a cavity-like structure seen in the 1.1 mm
dust-continuum emission. The results of SMA 13CO and C18O(2--1) observations
have revealed that a compact and elongated structure of dense gas is associated
with B59#11, which is oriented perpendicular to the outflow axis. There is a
compact dust condensation with a size of 350x180 AU seen in the SMA 1.3 mm
continuum map, and the direction of its major axis is almost the same as that
of the dense gas elongation. The distributions of 13CO and C18O emission also
show the velocity gradients along their major axes, which are considered to
arise from the envelope/disk rotation. From the detailed analysis of the SMA
data, we infer that B59#11 is surrounded by a Keplerian disk with a size of
less than 350 AU. In addition, the SMA CO(2--1) image shows a velocity gradient
in the outflow along the same direction as that of the dense gas rotation. We
suggest that this velocity gradient shows a rotation of the outflow.


title:
Curvature estimates for the level sets of solutions of the
  Monge-Amp\`{e}re equation $\det D^2 u=1$

abstract:
  For the Monge-Amp\`{e}re equation $\det D^2 u=1$, we find new auxiliary
curvature functions which attain respective maximum on the boundary. Moreover,
we obtain the upper bounded estimates for the Gauss curvature and mean
curvature of the level sets for the solution to this equation.


title: 4-critical graphs on surfaces without contractible (<=4)-cycles

abstract:
  We show that if G is a 4-critical graph embedded in a fixed surface $\Sigma$
so that every contractible cycle has length at least 5, then G can be expressed
as $G=G'\cup G_1\cup G_2\cup ... \cup G_k$, where $|V(G')|$ and $k$ are bounded
by a constant (depending linearly on the genus of $\Sigma$) and $G_1\ldots,G_k$
are graphs (of unbounded size) whose structure we describe exactly. The proof
is computer-assisted - we use computer to enumerate all plane 4-critical graphs
of girth 5 with a precolored cycle of length at most 16, that are used in the
basic case of the inductive proof of the statement.


title:
Nonsymmetric primitive translation schemes on prime power number of
  vertices

abstract:
  It is well-known that translation schemes on prime number of vertices are
exactly the cyclotomic schemes. In this current paper, we show that there are
no nonsymmetric primitive translation schemes on prime square vertices with at
most four classes. On the other hand, we find new non-symmetric four- and
five-class association schemes from cyclotomy as fission schemes of certain
symmetric three-class schemes. Moreover, we provide an affirmative answer to
the following question raised by Song \cite{song_2}: Are there any other
two-class primitive schemes that admit symmetrizable fission schemes besides
the cyclotomic scheme of index 2 for $q \equiv5 \pmod{8}$? To be more specific,
we show that a certain two-class primitive scheme in the finite field
$\F_{37^3}$ constructed by Feng and Xiang in \cite{fx} admits a four-class
fission scheme. This fission scheme is realized as a fusion scheme of the
cyclotomic scheme of index 28.


title:
Low-Filling-Factor Superconducting Single Photon Detector with High
  System Detection Efficiency

abstract:
  We designed, fabricated, and measured superconducting nanowire single-photon
detectors (SSPDs) with low filling factor which achieve high system detection
efficiency (SDE) and counting rate simultaneously. Numerical simulation reveals
that high optical absorptance is possible in SSPDs even for low filing factor
by tuning the device design. The SDEs of fabricated 18-50% filling factor SSPDs
were measured systematically, and all SSPDs showed high SDEs of 61-80% and the
lowest 18% filling factor SSPD achieved a high SDE of 69%.


title: The Clustering Of Galaxies Around Radio-Loud AGNs

abstract:
  We examine the hypothesis that mergers and close encounters between galaxies
can fuel AGNs by increasing the rate at which gas accretes towards the central
black hole. We compare the clustering of galaxies around radio-loud AGNs with
the clustering around a population of radio-quiet galaxies with similar masses,
colors and luminosities. Our catalog contains 2178 elliptical radio galaxies
with flux densities greater than 2.8 mJy at 1.4 GHz from the 6dFGS survey. We
find that radio AGNs with more than 200 times the median radio power have, on
average, more close (r<160 kpc) companions than their radio-quiet counterparts,
suggestive that mergers play a role in forming the most powerful radio
galaxies. For ellipticals of fixed stellar mass, the radio power is not a
function of large-scale environment nor halo mass, consistent with the radio
powers of ellipticals varying by orders of magnitude over billions of years.


title:
Infrared characteristics of sources associated with OH, H$_{2}$O, SiO
  and CH$_{3}$OH masers

abstract:
  We collect all published OH, H2O, SiO and CH3OH masers in literature. The
associated infrared sources of these four masers were identified with MSX PSC
catalogues. We look for common infrared properties among the sources associated
with four masers and make a statistical study. The MSX sources associated with
stellar OH, stellar H2O and SiO masers concentrated in a small regions and the
MSX sources associated with interstellar OH, interstellar H2O and CH3OH masers
also concentrated in a small regions in an [A]-[D].vs.[A][-[E] diagram. These
results give us new criterion to search for coexisting stellar maser samples
for OH, H2O and SiO masers and interstellar maser samples for OH, H2O and CH3OH
masers.


title: Single-Photon-Level Quantum Image Memory Based on Cold Atomic Ensembles

abstract:
  An important step towards the successful development of network that allows
the distribution of quantum information is the storage of light in a matter at
the single-photon level. Encoding photons in high-dimensional photonic states
can significantly increase their information-carrying capacity. So far, there
is no any report on the storage of an image at true single photon level,
realizing a quantum memory that can record the shape of a single photon is a
challenging work. In this work, we report on the first experimental realization
of storing a true single photon carrying an orbital angular momentum via
electromagnetically induced transparency in a cold atomic ensemble and
retrieved later after a given storage time. We experimentally not only prove
the preservation of the property of the single photon, but also show very good
similarity on the spatial structures of the input and the retrieved photons.
More importantly, we also demonstrate the preservation of the coherence of the
single photon during the storage using a Sagnac interferometer. The
demonstrated capability of storing a spatial structure at single-photon-level
opens the possibility to the realization of a high-dimensional quantum memory.


title: Infinitesimal deformations of naturally graded filiform Leibniz algebras

abstract:
  We describe infinitesimal deformations of complex naturally graded filiform
Leibniz algebras. It is known that any $n$-dimensional filiform Lie algebra can
be obtained by a linear integrable deformation of the naturally graded algebra
$F_n^3(0)$. We establish that in the same way any $n$-dimensional filiform
Leibniz algebra can be obtained by an infinitesimal deformation of the filiform
Leibniz algebras $F_{n}^1,$ $F_{n}^2$ and $F_{n}^3(\alpha)$. Moreover, we
describe the linear integrable deformations of above-mentioned algebras with a
fixed basis of $HL^2$ in the set of all $n$-dimensional Leibniz algebras. Among
these deformations we found one new rigid algebra.


title:
Distance matters: the impact of gene proximity in bacterial gene
  regulation

abstract:
  Following recent discoveries of colocalization of downstream-regulating genes
in living cells, the impact of the spatial distance between such genes on the
kinetics of gene product formation is increasingly recognized. We here show
from analytical and numerical analysis that the distance between a
transcription factor (TF) gene and its target gene drastically affects the
speed and reliability of transcriptional regulation in bacterial cells. For an
explicit model system we develop a general theory for the interactions between
a TF and a transcription unit. The observed variations in regulation efficiency
are linked to the magnitude of the variation of the TF concentration peaks as a
function of the binding site distance from the signal source. Our results
support the role of rapid binding site search for gene colocalization and
emphasize the role of local concentration differences.


title: Equidistribution of primitive rational points on expanding horospheres

abstract:
  We confirm a conjecture of Jens Marklof regarding the equidistribution of
certain sparse collections of points on expanding horospheres. These
collections are obtained by intersecting the expanded horosphere with a certain
manifold of complementary dimension and turns out to be of arithmetic nature.
This equidistribution result is then used along the lines suggested by Marklof
to give an analogue of a result of W. Schmidt regarding the distribution of
shapes of lattices orthogonal to integer vectors.


title: The Multi-Sender Multicast Index Coding

abstract:
  We focus on the following instance of an index coding problem, where a set of
receivers are required to decode multiple messages, whilst each knows one of
the messages a priori. In particular, here we consider a generalized setting
where they are multiple senders, each sender only knows a subset of messages,
and all senders are required to collectively transmit the index code. For a
single sender, Ong and Ho (ICC, 2012) have established the optimal index
codelength, where the lower bound was obtained using a pruning algorithm. In
this paper, the pruning algorithm is simplified, and used in conjunction with
an appending technique to give a lower bound to the multi-sender case. An upper
bound is derived based on network coding. While the two bounds do not match in
general, for the special case where no two senders know any message bit in
common, the bounds match, giving the optimal index codelength. The results are
derived based on graph theory, and are expressed in terms of strongly connected
components.


title:
A study for the effect of the Emphaticness and language and dialect for
  Voice Onset Time (VOT) in Modern Standard Arabic (MSA)

abstract:
  The signal sound contains many different features, including Voice Onset Time
(VOT), which is a very important feature of stop sounds in many languages. The
only application of VOT values is stopping phoneme subsets. This subset of
consonant sounds is stop phonemes exist in the Arabic language, and in fact,
all languages. The pronunciation of these sounds is hard and unique especially
for less-educated Arabs and non-native Arabic speakers. VOT can be utilized by
the human auditory system to distinguish between voiced and unvoiced stops such
as /p/ and /b/ in English.This search focuses on computing and analyzing VOT of
Modern Standard Arabic (MSA), within the Arabic language, for all pairs of
non-emphatic (namely, /d/ and /t/) and emphatic pairs (namely, /d?/ and /t?/)
depending on carrier words. This research uses a database built by ourselves,
and uses the carrier words syllable structure: CV-CV-CV. One of the main
outcomes always found is the emphatic sounds (/d?/, /t?/) are less than 50% of
non-emphatic (counter-part) sounds ( /d/, /t/).Also, VOT can be used to
classify or detect for a dialect ina language.


title:
Multiwavelength interferometric observations and modeling of
  circumstellar disks

abstract:
  We investigate the structure of the innermost region of three circumstellar
disks around pre-main sequence stars HD 142666, AS 205 N, and AS 205 S. We
determine the inner radii of the dust disks and, in particular, search for
transition objects where dust has been depleted and inner disk gaps have formed
at radii of a few tenths of AU up to several AU. We performed interferometric
observations with IOTA, AMBER, and MIDI in the infrared wavelength ranges
1.6-2.5um and 8-13um with projected baseline lengths between 25m and 102m. The
data analysis was based on radiative transfer simulations in 3D models of young
stellar objects (YSOs) to reproduce the spectral energy distribution and the
interferometric visibilities simultaneously. Accretion effects and disk gaps
could be considered in the modeling approach. Results from previous studies
restricted the parameter space. The objects of this study were spatially
resolved in the infrared wavelength range using the interferometers. Based on
these observations, a disk gap could be found for the source HD 142666 that
classifies it as transition object. There is a disk hole up to a radius of
R_in=0.30AU and a (dust-free) ring between 0.35AU and 0.80AU in the disk of HD
142666. The classification of AS 205 as a system of classical T Tauri stars
could be confirmed using the canonical model approach, i. e., there are no
hints of disk gaps in our observations.


title:
Note on Entanglement Temperature for Low Thermal Excited States in
  Higher Derivative Gravity

abstract:
  We investigate the entanglement temperature of a small scale subsystem in low
excited states by using holographic method. Especially, we study the
entanglement entropy and entanglement temperature in higher derivative
gravities which are considered as low thermal excitation of pure AdS gravity.
We find that the entanglement entropy are related to the central charges of
boundary CFT. The relation between the variance of entanglement entropy and
energy of a small scale subsystem has been also obtained. Furthermore, the
relation is consistent with the first law-like relation that is proposed by
Phys. Rev. Lett. 110, 091602 (2013). Finally, we derive the formula of the
variance of entanglement entropy in general excited states in gravity
background with the Fefferman-Graham coordinates and the entanglement
temperature can be figured out in special case.


title: Some remarks on the geometry of Kropina spaces

abstract:
  Using the navigation data (h,W) of a Kropina space, we characterize
weakly-Berwald Kropina spaces and Berwald Kropina spaces by means of the
Killing vector field W and the parallel vector field W, respectively. Moreover,
the local 1-parameter group of Finslerian local isometries of the Kropina space
coincides with the local 1-parameter group Riemannian of local isometries on
(M, h).


title: A Heuristic Approach for Web-Service Discovery and Selection

abstract:
  In today's businesses, service-oriented architectures represent the main
paradigm for IT infrastructures. Indeed, the emergence of Internet made it
possible to set up an exploitable environment to distribute applications on a
large scale, and this, by adapting the notion of "service". With the
integration of this paradigm in Business to Business Domain (B2B), the number
of web services becomes very significant. Due to this increase, the discovery
and selection of web services meeting customer requirement become a very
difficult operation. Further, QoS properties must be taking into account in the
web service selection. Moreover, with the significant number of web service,
necessary time for the discovery of a service will be rather long. In this
paper, we propose an approach based on a new heuristic method called "Bees
Algorithm" inspired from honey bees behavior. We use this technique of
optimization in order to discover appropriate web services, meeting customer
requirements, in least time and taking into account the QoS properties.


title: On a hybrid fourth moment involving the Riemann zeta-function

abstract:
  We provide explicit ranges for $\sigma$ for which the asymptotic formula
\begin{equation*} \int_0^T|\zeta(1/2+it)|^4|\zeta(\sigma+it)|^{2j}dt \;\sim\;
T\sum_{k=0}^4a_{k,j}(\sigma)\log^k T \quad(j\in\mathbb N) \end{equation*} holds
as $T\rightarrow \infty$, when $1\leq j \leq 6$, where $\zeta(s)$ is the
Riemann zeta-function. The obtained ranges improve on an earlier result of the
authors [Annales Univ. Sci. Budapest., Sect. Comp. {\bf38}(2012), 233-244]. An
application to a divisor problem is also given


title:
Using Exclusive Web Crawlers to Store Better Results in Search Engines'
  Database

abstract:
  Crawler-based search engines are the mostly used search engines among web and
Internet users, involve web crawling, storing in database, ranking, indexing
and displaying to the user. But it is noteworthy that because of increasing
changes in web sites search engines suffer high time and transfers costs which
are consumed to investigate the existence of each page in database while
crawling, updating database and even investigating its existence in any
crawling operations. "Exclusive Web Crawler" proposes guidelines for crawling
features, links, media and other elements and to store crawling results in a
certain table in its database on the web. With doing this, search engines store
each site's tables in their databases and implement their ranking results on
them. Thus, accuracy of data in every table (and its being up-to-date) is
ensured and no 404 result is shown in search results since, in fact, this data
crawler crawls data entered by webmaster and the database stores whatever he
wants to display.


title: Automatic Parameter Adaptation for Multi-object Tracking

abstract:
  Object tracking quality usually depends on video context (e.g. object
occlusion level, object density). In order to decrease this dependency, this
paper presents a learning approach to adapt the tracker parameters to the
context variations. In an offline phase, satisfactory tracking parameters are
learned for video context clusters. In the online control phase, once a context
change is detected, the tracking parameters are tuned using the learned values.
The experimental results show that the proposed approach outperforms the recent
trackers in state of the art. This paper brings two contributions: (1) a
classification method of video sequences to learn offline tracking parameters,
(2) a new method to tune online tracking parameters using tracking context.


title: The Dual Frequency Anisotropic Magneto-Optical Trap

abstract:
  The cloud of cold atoms produced by a Magneto-Optical Trap is known to
exhibit instabilities. We examine in this paper in which limits it could be
possible to realize an experimental trap similar to the configurations studied
theoretically, i.e. mainly traps where one direction is privileged. We study
the static behavior of an anisotropic trap, where anisotropy results
essentially from the use of two different laser frequencies for the arms of the
trap. Such a trap has very surprising behaviors, in particular the cloud
disappears for some laser frequencies, while it exists for smaller and larger
frequencies. A model is build to explain these behaviors. We show in particular
that, to reproduce the experimental observations, the model has to take into
account the cross saturation effects. Moreover, the couplings between the
different directions cannot be neglected.


title:
The algebraic cast of Poincar\'e's M\'ethodes nouvelles de la
  m\'ecanique c\'eleste

abstract:
  This paper aims at shedding a new light on the novelty of Poincar\'e's
M\'ethodes nouvelles de la m\'ecanique c\'eleste. The latter's approach to the
three-body-problem has often been celebrated as a starting point of chaos
theory in relation to the investigation of dynamical systems. Yet, the novelty
of Poincar\'e's strategy can also be analyzed as having been cast out some
specific algebraic practices for manipulating systems of linear equations. As
the structure of a cast-iron building may be less noticeable than its creative
fa\c{c}ade, the algebraic cast of Poincar\'e's strategy was broken out of the
mold in generating the new methods of celestial mechanics. But as the various
components that are mixed in some casting process can still be detected in the
resulting alloy, this algebraic cast points to some collective dimensions of
the M\'ethodes nouvelles. It thus allow to analyze Poincar\'e's individual
creativity in regard with the collective dimensions of some algebraic cultures.
At a global scale, Poincar\'e's strategy is a testimony of the pervading
influence of what used to play the role of a shared algebraic culture in the
19th century, i.e., much before the development of linear algebra as a specific
discipline. This shared culture was usually identified by references to the
''equation to the secular inequalities in planetary theory.'' This form of
identification highlights the long shadow of the great treatises of mechanics
published at the end of the 18th century. At a more local scale, Poincar\'e's
approach can be analyzed in regard with the specific evolution that Hermite's
algebraic theory of forms impulsed to the culture of the secular equation.
Moreover, this papers shows that some specific aspects of Poincar\'e's own
creativity result from a process of acculturation of the latter to Jordan's
practices of reductions of linear substitutions within the local algebraic
culture anchored in Hermite's legacy .


title:
Electronic structure of vacancy resonant states in graphene: a critical
  review of the single vacancy case

abstract:
  The resonant behaviour of vacancy states in graphene is well-known but some
ambiguities remain concerning in particular the nature of the so-called zero
energy modes. Other points are not completely elucidated in the case of low but
finite vacancy concentration. In this article we concentrate on the case of
vacancies described within the usual tight-binding approximation. More
precisely we discuss the case of a single vacancy or of a finite number of
vacancies in a finite or infinite system.


title: Non-linear fate of internal wave attractors

abstract:
  We present a laboratory study on the instability of internal wave attractors
in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is
injected into the system via standing-wave-type motion of a vertical wall.
Attractors are found to be destroyed by parametric subharmonic instability
(PSI) via a triadic resonance which is shown to provide a very efficient energy
pathway from long to short length scales. This study provides an explanation
why attractors may be difficult or impossible to observe in natural systems
subject to large amplitude forcing.


title: The Polar Cone of the set of monotone maps

abstract:
  We prove that every element of the polar cone to the closed convex cone of
monotone transport maps can be represented as the divergence of a measure field
taking values in the positive definite matrices.


title: Markov switching quadratic term structure models

abstract:
  In this paper, we consider a discrete time economy where we assume that the
short term interest rate follows a quadratic term structure of a regime
switching asset process. The possible non-linear structure and the fact that
the interest rate can have different economic or financial trends justify the
interest of Regime Switching Quadratic Term Structure Model (RS-QTSM). Indeed,
this regime switching process depends on the values of a Markov chain with a
time dependent transition probability matrix which can well captures the
different states (regimes) of the economy. We prove that under this modelling
that the conditional zero coupon bond price admits also a quadratic term
structure. Moreover, the stochastic coefficients which appear in this
decomposition satisfy an explicit system of coupled stochastic backward
recursions.


title: Further Refinements of Miller Algorithm on Edwards curves

abstract:
  Recently, Edwards curves have received a lot of attention in the
cryptographic community due to their fast scalar multiplication algorithms.
Then, many works on the application of these curves to pairing-based
cryptography have been introduced. Xu and Lin (CT-RSA, 2010) presented
refinements to improve the Miller algorithm that is central role compute
pairings on Edwards curves. In this paper, we study further refinements to
Miller algorithm. Our approach is generic, hence it allow to compute both Weil
and Tate pairings on pairing-friendly Edwards curves of any embedding degree.
We analyze and show that our algorithm is faster than the original Miller
algorithm and the Xu-Lin's refinements.


title:
A Gauss-Bonnet Type Formula on Riemann-Finsler surfaces with
  non-constant indicatrix volume

abstract:
  We prove a Gauss-Bonnet type formula for Riemann-Finsler surfaces of
non-constant indicatrix volume and with regular piecewise smooth boundary. We
give a Hadamard type theorem for N-parallels of a Landsberg surface.


title:
On the existence of classical solutions for stationary extended mean
  field games

abstract:
  In this paper we consider extended stationary mean field games, that is
mean-field games which depend on the velocity field of the players. We prove
various a-priori estimates which generalize the results for quasi-variational
mean field games in [GPSM12]. In addition we use adjoint method techniques to
obtain higher regularity bounds. Then we establish existence of smooth
solutions under fairly general conditions by applying the continuity method.
When applied to standard stationary mean-field games as in [LL06a], [GSM11] or
[GPSM12] this paper yields various new estimates and regularity properties not
available previously. We discuss additionally several examples where existence
of classical solutions can be proved.


title: A Number-Conserving Theory for Nuclear Pairing

abstract:
  A microscopic theory for nuclear pairing is proposed through the generalized
density matrix formalism. The analytical equations are as simple as that of the
BCS theory, and could be solved within a similar computer time. The current
theory conserves the exact particle number, and is valid at arbitrary pairing
strength (including those below the BCS critical strength). These are the two
main advantages over the conventional BCS theory. The theory is also of
interests to other mesoscopic systems.


title: Modulational interactions in quantum plasmas

abstract:
  A formalism for treating modulational interactions of electrostatic fields in
collisionless quantum plasmas is developed, based on the kinetic Wigner-Poisson
model of quantum plasma. This formalism can be used in a range of problems of
nonlinear interaction between electrostatic fields in a quantum plasma, such as
development of turbulence, self-organization, as well as transition from the
weak turbulent state to strong turbulence. In particular, using this formalism,
we obtain the kinetic quantum Zakharov equations, that describe nonlinear
coupling of high frequency Langmuir waves to low frequency plasma density
variations, for cases of non-degenerate and degenerate plasma electrons.


title:
UVSiPM: a light detector instrument based on a SiPM sensor working in
  single photon counting

abstract:
  UVSiPM is a light detector designed to measure the intensity of
electromagnetic radiation in the 320-900 nm wavelength range. It has been
developed in the framework of the ASTRI project whose main goal is the design
and construction of an end-to-end Small Size class Telescope prototype for the
Cherenkov Telescope Array. The UVSiPM instrument is composed by a multipixel
Silicon Photo-Multiplier detector unit coupled to an electronic chain working
in single photon counting mode with 10 nanosecond double pulse resolution, and
by a disk emulator interface card for computer connection. The detector unit of
UVSiPM is of the same kind as the ones forming the camera at the focal plane of
the ASTRI prototype. Eventually, the UVSiPM instrument can be equipped with a
collimator to regulate its angular aperture. UVSiPM, with its peculiar
characteristics, will permit to perform several measurements both in lab and on
field, allowing the absolute calibration of the ASTRI prototype.


title:
On-Line Choice Number of Complete Multipartite Graphs: an Algorithmic
  Approach

abstract:
  This paper studies the on-line choice number on complete multipartite graphs
with independence number $m$. We give a unified strategy for every prescribed
$m$. Our main result leads to several interesting consequences comparable to
known results. (1) If $ k_1-\sum_{p=2}^m(\frac{p^2}{2}-\frac{3p}{2}+1)k_p\geq
0$, where $k_p$ denotes the number of parts of cardinality $p$, then $G$ is
on-line chromatic-choosable. (2) If $
|V(G)|\leq\frac{m^2-m+2}{m^2-3m+4}\chi(G)$, then $G$ is on-line
chromatic-choosable. (3) The on-line choice number of regular complete
multipartite graphs $K_{m\star k}$ is at most $(m+\frac{1}{2}-\sqrt{2m-2})k$
for $m\geq 3$.


title: Anisotropy of Cosmic Acceleration

abstract:
  In this paper, we study the anisotropy of cosmic acceleration by dividing the
Union2 Type Ia supernova dataset into 12 subsets according to their positions
in Galactic coordinate system. In each region, we derive the deceleration
parameter $q_0$ as the diagnostic to quantify the anisotropy level in the
corresponding direction, and construct $q_0$ anisotropic maps by combining
these $q_0$ values. In addition to the monopole component, we find the
significant dipole effect in the $q_0$-maps with the amplitude
$A_1=0.466^{+0.255}_{-0.205}$, which deviates from zero at more than 2-$\sigma$
level. The direction of the best-fit dipole is ($\theta=108.8^{\circ}$,
$\phi=187.0^{\circ}$) in Galactic system. Interesting enough, we find the
direction of this dipole is nearly perpendicular to the CMB kinematic dipole,
and the angle between them is $95.7^{\circ}$. The perpendicular relation is
anomalous at the 1-in-10 level.


title:
A New Evolutionary Bayesian Approach Incorporating Additive Path
  Correction for Nonlinear Inverse Problems

abstract:
  An evolutionary form of a generalized Bayesian update method, which is
strictly derivative- free yet directed through an additive update term based
purely on the statistical moments of the design variables, is proposed for
nonlinear inverse problems in general and applied in particular to an optical
imaging problem, the ultrasound modulated optical tomography (UMOT). The
additive update term, which bypasses most pitfalls of a conventional weight-
based Bayesian update, results from a change of measures aimed at driving
appropriately derived observation-prediction error terms or increments of cost
functionals to zero-mean Brownian martingales. This constitutes a novel
characterization corresponding to the extremization of the cost functional(s),
where the design unknowns are represented as diffusion processes evolving with
respect to a continuously parameterized iteration variable. This leads to a
recursive prediction-update algorithm to implement the search. The scheme
offers freedom from sample degeneracy and the accompanying divergence of the
conventional weight-based Bayesian update schemes. We obtain the order of
convergence of the conditioned process and also establish that the solutions
are stable against tolerable variations in the regularizing noise terms, even
as the original inverse problem remains severely ill-posed. Numerical evidence
on solutions to the UMOT problem also confirms substantive improvements in the
reconstruction efficacy through the proposed method vis-\`a- vis a Gauss-Newton
approach, especially where the regularized quasi-Newton direction has low
sensitivity to variations in the design unknowns.


title: Analytical Solutions of Singular Isothermal Quadrupole Lens

abstract:
  Using analytical method, we study the Singular Isothermal Quadrupole (SIQ)
lens system, which is the simplest lens model that can produce four images. In
this case, the radial mass distribution is in accord with the profile of the
Singular Isothermal Sphere (SIS) lens, and the tangential distribution is given
by adding a quadrupole on the monopole component. The basic properties of the
SIQ lens have been studied in this paper, including deflection potential,
deflection angle, magnification, critical curve, caustic, pseudo-caustic and
transition locus. Analytical solutions of the image positions and
magnifications for the source on axes are derived. As have been found, naked
cusps will appear when the relative intensity $k$ of quadrupole to monopole is
larger than 0.6. According to the magnification invariant theory of the SIQ
lens, the sum of the signed magnifications of the four images should be equal
to unity \citep{dal98}. However, if a source lies in the naked cusp, the summed
magnification of the left three images is smaller than the invariant 1. With
this simple lens system, we study the situations that a point source infinitely
approaches a cusp or a fold. The sum of magnifications of cusp image triplet is
usually not equal to 0, and it is usually positive for major cusp while
negative for minor cusp. Similarly, the sum of magnifications of fold image
pair is usually neither equal to 0. Nevertheless, the cusp and fold relations
are still equal to 0, in that the sum values are divided by infinite absolute
magnifications by definition.


title:
Preventing Phishing Attacks using One Time Password and User Machine
  Identification

abstract:
  Phishing is a type of attack in which cyber criminals tricks the victims to
steal their personal and financial data. It has become an organized criminal
activity. Spoofed emails claiming to be from legitimate source are crafted in a
way to lead victims to reveal their personal, financial data by misdirecting
them to the counterfeit website.
  This research paper presents a novel approach to combat the Phishing attacks.
An approach is proposed where user will retrieve the one time password by SMS
or by alternate email address. After receiving the one time password the web
server will create an encrypted token for the users computer or device for
authentication. The encrypted token will be used for identification, any time
user wishes to access the website he or she must request the new password. The
one time password as name implies will expire after single use. The one time
password and encrypted token is a smart way to tackle this problem.


title:
Simultaneous optimization of spin fluctuations and superconductivity
  under pressure in an iron-based superconductor

abstract:
  We present a high-pressure NMR study of the overdoped iron pnictide
superconductor NaFe$_{0.94}$Co$_{0.06}$As. The low-energy antiferromagnetic
spin fluctuations in the normal state, manifest as the Curie-Weiss upturn in
the spin-lattice relaxation rate $1/^{75}T_1T$, first increase strongly with
pressure but fall again at $P > P_{\rm opt} =$ 2.2 GPa. Neither long-ranged
magnetic order nor a structural phase transition is encountered up to 2.5 GPa.
The superconducting transition temperature $T_c$ shows a pressure-dependence
identical to the spin fluctuations. Our observations demonstrate that magnetic
correlations and superconductivity are optimized simultaneously as a function
of the electronic structure, thereby supporting very strongly a magnetic origin
of superconductivity.


title:
High magnetic field reveals the nature of excitons in a single GaAs/AlAs
  core/shell nanowire

abstract:
  Magneto-photoluminescence measurements of individual zinc-blende GaAs/AlAs
core/shell nanowires are reported. At low temperature a strong emission line at
1.507 eV is observed under low power (nW) excitation. Measurements performed in
high magnetic field allowed us to detect in this emission several lines
associated with excitons bound to defect pairs. Such lines were observed before
in epitaxial GaAs of very high quality, as reported by Kunzel and Ploog. This
demonstrates that the optical quality of our GaAs/AlAs core/shell nanowires is
comparable to the best GaAs layers grown by molecular beam epitaxy. Moreover,
strong free exciton emission is observed even at room temperature. The bright
optical emission of our nanowires in room temperature should open the way for
numerous optoelectronic device applications.


title:
D meson elliptic flow in non-central Pb-Pb collisions at $\sqrt{s_{\rm
  NN}}$ = 2.76TeV

abstract:
  Azimuthally anisotropic distributions of D$^0$, D$^+$ and D$^{*+}$ mesons
were studied in the central rapidity region ($|y|<0.8$) in Pb-Pb collisions at
a centre-of-mass energy $\sqrt{s_{\rm NN}} = 2.76$ TeV per nucleon-nucleon
collision, with the ALICE detector at the LHC. The second Fourier coefficient
$v_2$ (commonly denoted elliptic flow) was measured in the centrality class
30-50% as a function of the D meson transverse momentum $p_{\rm T}$, in the
range 2-16 GeV/$c$. The measured $v_2$ of D mesons is comparable in magnitude
to that of light-flavour hadrons. It is positive in the range $2 < p_{\rm T} <
6$ GeV/$c$ with $5.7\sigma$ significance, based on the combination of
statistical and systematic uncertainties.