title: Computation with No Memory, and Rearrangeable Multicast Networks

abstract:
  We investigate the computation of mappings from a set S^n to itself with "in
situ programs", that is using no extra variables than the input, and performing
modifications of one component at a time, hence using no memory. In this paper,
we survey this problem introduced in previous papers by the authors, we detail
its close relation with rearrangeable multicast networks, and we provide new
results for both viewpoints.
  A bijective mapping can be computed by 2n - 1 component modifications, that
is by a program of length 2n - 1, a result equivalent to the rearrangeability
of the concatenation of two reversed butterfly networks. For a general
arbitrary mapping, we give two methods to build a program with maximal length
4n-3. Equivalently, this yields rearrangeable multicast routing methods for the
network formed by four successive butterflies with alternating reversions. The
first method is available for any set S and practically equivalent to a known
method in network theory. The second method, a refinement of the first,
described when |S| is a power of 2, is new and allows more flexibility than the
known method.
  For a linear mapping, when S is any field, or a quotient of an Euclidean
domain (e.g. Z/sZ for any integer s), we build a program with maximal length 2n
- 1. In this case the assignments are also linear, thereby particularly
efficient from the algorithmic viewpoint, and giving moreover directly a
program for the inverse when it exists. This yields also a new result on matrix
decompositions, and a new result on the multicast properties of two successive
reversed butterflies. Results of this flavour were known only for the boolean
field Z/2Z.


title:
Constraining the equation of state of nuclear matter with gravitational
  wave observations: Tidal deformability and tidal disruption

abstract:
  We study how to extract information on the neutron star equation of state
from the gravitational wave signal emitted during the coalescence of a binary
system composed of two neutron stars or a neutron star and a black hole. We use
post-Newtonian templates which include the tidal deformability parameter and,
when tidal disruption occurs before merger, a frequency cut-off. Assuming that
this signal is detected by Advanced LIGO/Virgo or ET, we evaluate the
uncertainties on these parameters using different data analysis strategies
based on the Fisher matrix approach, and on recently obtained analytical fits
of the relevant quantities. We find that the tidal deformability is more
effective than the stellar compactness to discriminate among different possible
equations of state.


title: Pulsars as Standard Candles

abstract:
  To illustrate the standard candle property of gamma-ray pulsars (and also to
thereby confirm the recent first-principle calculation of pulsar gamma-ray
emission), we "measure", via the lightcurve fitting, three distances and one
moment of inertia of some weak pulsars. We are not sure what the three
distances are good for, but the measurement of the moment of inertia must be of
interest for nuclear physics.
  Although we must state that the quality of the numerical program which we use
to calculate the lightcurves and efficiencies is inadequate (as are the
author's qualifications as a numericist and data analyst), in good hands, and
upon an easily doable extension to non-weak pulsars, the method's yield should
be impressive.


title:
The Chern-Gauss-Bonnet Theorem via supersymmetric Euclidean field
  theories

abstract:
  We prove the Chern-Gauss-Bonnet Theorem using sigma models whose source
supermanifolds have super dimension 0|2. Along the way we develop machinery for
understanding manifold invariants encoded by families of 0|n-dimensional
Euclidean field theories and their quantization.


title: Space of Infinitesimal Isometries and Bending of Shells

abstract:
  We discuss infinitesimal isometries of the middle surfaces and present some
characteristic conditions for a function to be the normal component of an
infinitesimal isometry. Our results show that those characteristic conditions
depend on the Gaussian curvature of the middle surfaces: Normal components of
infinitesimal isometries satisfy an elliptic problem, or a parabolic one, or a
hyperbolic one according to the middle surface being elliptic, or parabolic, or
hyperbolic, respectively. In those cases, a problem of determining an
infinitesimal isometry is changed into that of 1-dimension. Then we apply those
results to the energy functionals of bending of shells which has been obtained
as two-dimensional problems by the limit theory of Gamma-convergence from the
three-dimensional nonlinear elasticity. Therefore the limit theory of
Gamma-convergence reduces to be a one-dimensional problem in the those cases.


title: Dimension Formulae for Spaces of Lifted Bianchi Modular Forms

abstract:
  In this note, we work out the dimension of the subspace of base-change forms
and their twists inside the space of Bianchi modular forms with fixed (Galois
stable) level and weight.


title:
Abnormal temperature dependence of mobility in conjugated polymer /
  nanocrystal composite: experiment and theory

abstract:
  Instead of normal non-Arrhenius relationship, the carrier mobility
$ln({\mu})$ v.s. $1/T^2$ showed abnormal dependence in an MEH-PPV / InP
nanocrystal composite system that a critical temperature $(T_c)$ behavior is
prominent in temperature range of 233 K to 333 K. Here, in the model of
variable range hopping theory, an analytical model is developed within a
Gaussian trap distribution, which is successfully implemented on that
phenomenon. The results show that Tc becomes the transition temperature as long
as trap-filling factor (FF) ~1, which means a transition point from Boltzmann
to Fermi distribution. Furthermore, the model predicts an universal
relationship of $ln({\mu})$ on $1/T^2$ determined by FF in any disordered
system with traps.


title: On general fibers of Gauss maps in positive characteristic

abstract:
  A general fiber of the Gauss map of a projective variety in $\mathbb{P}^N$
coincides with a linear subvariety of $\mathbb{P}^N$ in characteristic zero. In
positive characteristic, S. Fukasawa showed that a general fiber of the Gauss
map can be a non-linear variety. In this paper, we show that each irreducible
component of such a possibly non-linear fiber of the Gauss map is contracted to
one point by the degeneracy map, and is contained in a linear subvariety
corresponding to the kernel of the differential of the Gauss map. We also show
the inseparability of Gauss maps of strange varieties not being cones.


title:
Structure and causality relations in a global network of financial
  companies

abstract:
  This work uses the stocks of the 197 largest companies in the world, in terms
of market capitalization, in the financial area in the study of causal
relationships between them using Transfer Entropy, which is calculated using
the stocks of those companies and their counterparts lagged by one day. With
this, we can assess which companies influence others according to sub-areas of
the financial sector, which are banks, diversified financial services, savings
and loans, insurance, private equity funds, real estate investment companies,
and real estate trust funds. We also analyzed the causality relations between
those stocks and the network formed by them based on this measure, verifying
that they cluster mainly according to countries of origin, and then by industry
and sub-industry. Then we collected data on the stocks of companies in the
financial sector of some countries that are suffering the most with the current
credit crisis: Greece, Cyprus, Ireland, Spain, Portugal, and Italy, and assess,
also using transfer entropy, which companies from the largest 197 are most
affected by the stocks of these countries in crisis. The intention is to map a
network of influences that may be used in the study of possible contagions
originating in those countries in financial crisis.


title:
THz-radiation production using dispersively-selected flat electron
  bunches

abstract:
  We propose an alternative scheme for a tunable THz radiation source generated
by relativistic electron bunches. This technique relies on the combination of
dispersive selection and flat electron bunch. The dispersive selection uses a
slit mask inside a bunch compressor to transform the energy-chirped electron
beam into a bunch train. The flat beam transformation boosts the frequency
range of the THz source by reducing the beam emittance in one plane. This
technique generates narrow-band THz radiation with a tuning range between 0.2 -
4 THz. Single frequency THz spectrum can also be generated by properly choosing
the slit spacing, slit width, and the energy chirp.


title: Malthusian stagnation or Malthusian regeneration?

abstract:
  Empirical evidence questions fundamental concepts of the human population
dynamics. One of the key conclusions of this study is that positive checks
activate the efficient Malthusian regeneration mechanism, suggesting that the
Epoch of Malthusian Stagnation, the first stage of growth claimed by the
Demographic Transition Theory, did not exist.


title:
The isotriviality of families of canonically-polarized manifolds over a
  special quasi-projective base

abstract:
  In this paper we prove that a smooth family of canonically polarized
manifolds parametrized by a special (in the sense of Campana) quasi-projective
variety is isotrivial.


title: Non-equilibrium Thermal Super-radiation of Real Materials

abstract:
  We elucidate the theoretically maximal thermal radiation power from real
materials at a given temperature. Our results demonstrate that the thermal
radiation from real materials may be larger than the blackbody emission in free
space,and indicate that this is rooted in the high refractive index of the
materials. The refractive index contrast between the materials and environment
dictates the radiation of real materials genetically not under thermodynamic
equilibrium, but on the other hand can give rise to a larger density of
photonic modes than that of the blackbody. One key to maximize the thermal
radiation is to minimize the impedance mismatch of the materials with
environment. By following this principle, we present a design of a carbon core
coated by a four-layer transparent shell with gradually changed refractive
indexes that can emit > 30 times more power than the blackbody, which
reasonably approaches the predicted radiation maximum.


title:
Multi-Task Regularization with Covariance Dictionary for Linear
  Classifiers

abstract:
  In this paper we propose a multi-task linear classifier learning problem
called D-SVM (Dictionary SVM). D-SVM uses a dictionary of parameter covariance
shared by all tasks to do multi-task knowledge transfer among different tasks.
We formally define the learning problem of D-SVM and show two interpretations
of this problem, from both the probabilistic and kernel perspectives. From the
probabilistic perspective, we show that our learning formulation is actually a
MAP estimation on all optimization variables. We also show its equivalence to a
multiple kernel learning problem in which one is trying to find a re-weighting
kernel for features from a dictionary of basis (despite the fact that only
linear classifiers are learned). Finally, we describe an alternative
optimization scheme to minimize the objective function and present empirical
studies to valid our algorithm.


title:
Towards a fitting procedure to deeply virtual meson production -- the
  next-to-leading order case --

abstract:
  Based on the collinear factorization approach, we present a comprehensive
perturbative next-to-leading (NLO) analysis of deeply virtual meson production
(DVMP). Our representation in conformal Mellin space can serve as basis for a
global fitting procedure to access generalized parton distributions from
experimental measurements of DVMP and deeply virtual Compton scattering (DVCS).
We introduce a rather general formalism for the evaluation of conformal moments
that can be developed further beyond the considered order. We also confirm
previous diagrammatical findings in the pure singlet quark channel. Finally, we
use the analytic properties of the hard scattering amplitudes to estimate
qualitatively the size of radiative corrections and illustrate these
considerations with some numerical examples. The results suggest that global
NLO GPD fits, including both DVMP and DVCS data, could be more stable than
often feared.


title:
Canonical pseudo-K\"{a}hler structures on six-dimensional nilpotent Lie
  groups

abstract:
  In this paper we consider left-invariant pseudo-K\"{a}hler structures on
six-dimensional nilpotent Lie algebras. The explicit expressions of the
canonical complex structures are calculated, and the curvature properties of
the associated pseudo-K\"{a}hler metrics are investigated. It is proved that
the associated pseudo-K\"{a}hler metric is Ricci-flat, that the curvature
tensor has zero pseudo-Riemannian norm, and that the curvature tensor has some
non-zero components that depend only on two or, at most, three parameters. The
pseudo-K\"{a}hler structures obtained give basic models of pseudo-K\"{a}hler
six-dimensional nilmanifolds.


title: On the local profiles of trees

abstract:
  We study the local profiles of trees. We show that, in contrast with the
situation for general graphs, the limit set of k-profiles of trees is convex.
We initiate a study of the defining inequalities of this convex set. Many
challenging problems remain open.


title: Photometric observation of HAT-P-16b in the near-UV

abstract:
  We present the first primary transit light curve of the hot Jupiter HAT-P-16b
in the near-UV photometric band. We observed this object on December 29,2012 in
order to update the transit ephemeris, constrain its planetary parameters and
search for magnetic field interference. Vidotto et al. (2011a) postulate that
the magnetic field of HAT-P-16b can be constrained if its near-UV light curve
shows an early ingress compared to its optical light curve, while its egress
remains unchanged. However, we did not detect an early ingress in our night of
observing when using a cadence of 60 seconds and an average photometric
precision of 2.26mmag. We find a near-UV planetary radius of
Rp=1.274+-0.057RJup which is consistent with its near-IR radius of
Rp=1.289+-0.066RJup (Buchhave et al., 2010). We developed an automated
reduction pipeline and modeling package to process our data. The data reduction
package synthesizes a set of IRAF scripts to calibrate images and perform
aperture photometry. The modeling package utilizes the Levenberg-Marquardt
minimization algorithm to find a least-squares best fit and a differential
evolution Markov Chain Monte Carlo algorithm to find the best fit to the light
curve. To constrain the red noise in both fitting models we use the residual
permutation (rosary bead) method and time-averaging method.


title:
Lattice deformation coupling of the electro-optic Kerr effect in liquid
  crystalline cholesteric blue phases

abstract:
  The electro-optic Kerr effect in cholesteric blue phase liquid crystals is
known to occur on sub-millisecond time scales, which is much faster than
director reorientation in nematic liquid crystals. Using two-beam interference
microscopy, we report the presence of a very slow response in the Kerr effect,
with a characteristic time of several seconds or more. Using a simplified model
for the reorientation dynamics, we attribute the slow response to the coupling
between the local director reorientation and field-induced deformation of the
lattice. We provide evidence for our argument by showing that the slow response
can be removed by inhibiting lattice deformation through polymer stabilization.


title: Simultaneous analysis of three-dimensional percolation models

abstract:
  We simulate the bond and site percolation models on several three-dimensional
lattices, including the diamond, body-centered cubic, and face-centered cubic
lattices. As on the simple-cubic lattice [Phys. Rev. E, \textbf{87} 052107
(2013)], it is observed that in comparison with dimensionless ratios based on
cluster-size distribution, certain wrapping probabilities exhibit weaker
finite-size corrections and are more sensitive to the deviation from
percolation threshold $p_c$, and thus provide a powerful means for determining
$p_c$. We analyze the numerical data of the wrapping probabilities
simultaneously such that universal parameters are shared by the aforementioned
models, and thus significantly improved estimates of $p_c$ are obtained.


title: Treewidth of the Kneser Graph and the Erd\H{o}s-Ko-Rado Theorem

abstract:
  Treewidth is an important and well-known graph parameter that measures the
complexity of a graph. The Kneser graph Kneser(n,k) is the graph with vertex
set $\binom{[n]}{k}$, such that two vertices are adjacent if they are disjoint.
We determine, for large values of n with respect to k, the exact treewidth of
the Kneser graph. In the process of doing so, we also prove a strengthening of
the Erd\H{o}s-Ko-Rado Theorem (for large n with respect to k) when a number of
disjoint pairs of k-sets are allowed.


title: Exact sum rules for inhomogeneous systems containing a zero mode

abstract:
  We show that the formulas for the sum rules for the eigenvalues of
inhomogeneous systems that we have obtained in two recent papers are incomplete
when the system contains a zero mode. We prove that there are finite
contributions of the zero mode to the sum rules and we explicitly calculate the
expressions for the sum rules of order one and two. The previous results for
systems that do not contain a zero mode are unaffected.


title: Rationalit\'e d'un fibr\'e en coniques

abstract:
  F. Campana had asked whether a certain threefold is rational. In
arXiv:1310.3569v1 [mathAG], this variety was shown to be birational to a
specific conic bundle and then to be unirational. We prove that this conic
bundle is rational.


title:
Constructing good higher order polynomial lattice rules with modulus of
  reduced degree

abstract:
  In this paper we investigate multivariate integration in weighted unanchored
Sobolev spaces of smoothness of arbitrarily high order. As quadrature points we
employ higher order polynomial lattice point sets over $\mathbb{F}_{2}$ which
are randomly digitally shifted and then folded using the tent transformation.
We first prove the existence of good higher order polynomial lattice rules
which achieve the optimal rate of the mean square worst-case error, while
reducing the required degree of modulus by half as compared to higher order
polynomial lattice rules whose quadrature points are randomly digitally shifted
but not folded using the tent transformation. Thus we are able to restrict the
search space of generating vectors significantly. We then study the
component-by-component construction as an explicit means of obtaining good
higher order polynomial lattice rules. In a way analogous to [J. Baldeaux, J.
Dick, G. Leobacher, D. Nuyens, F. Pillichshammer, Numer. Algorithms, 59 (2012)
403--431], we show how to calculate the quality criterion efficiently and how
to obtain the fast component-by-component construction using the fast Fourier
transform. Our result generalizes the previous result shown by [L.L. Cristea,
J. Dick, G. Leobacher, F. Pillichshammer, Numer. Math., 105 (2007) 413--455],
in which the degree of smoothness is fixed at 2 and classical polynomial
lattice rules are considered.


title:
Pseudospin symmetry: Recent progress with supersymmetric quantum
  mechanics

abstract:
  It is an interesting and open problem to trace the origin of the pseudospin
symmetry in nuclear single-particle spectra and its symmetry breaking mechanism
in actual nuclei. In this report, we mainly focus on our recent progress on
this topic by combining the similarity renormalization group technique,
supersymmetric quantum mechanics, and perturbation theory. We found that it is
a promising direction to understand the pseudospin symmetry in a quantitative
way.


title: Scaling Green-Kubo relation and application to three aging systems

abstract:
  The Green-Kubo formula relates the spatial diffusion coefficient to the
stationary velocity autocorrelation function. We derive a generalization of the
Green-Kubo formula valid for systems with long-range or nonstationary
correlations for which the standard approach is no longer valid. For the
systems under consideration, the velocity autocorrelation function $\langle
v(t+\tau) v(t) \rangle$ asymptotically exhibits a certain scaling behavior and
the diffusion is anomalous $\langle x^2(t) \rangle \simeq 2 D_\nu t^{\nu}$. We
show how both the anomalous diffusion coefficient $D_\nu$ and exponent $\nu$
can be extracted from this scaling form. Our scaling Green-Kubo relation thus
extends an important relation between transport properties and correlation
functions to generic systems with scale invariant dynamics. This includes
stationary systems with slowly decaying power law correlations as well as aging
systems, whose properties depend on the the age of the system. Even for systems
that are stationary in the long time limit, we find that the long time
diffusive behavior can strongly depend on the initial preparation of the
system. In these cases, the diffusivity $D_{\nu}$ is not unique and we
determine its values for a stationary respectively nonstationary initial state.
We discuss three applications of the scaling Green-Kubo relation: Free
diffusion with nonlinear friction corresponding to cold atoms diffusing in
optical lattices, the fractional Langevin equation with external noise recently
suggested to model active transport in cells and the L\'evy walk with numerous
applications, in particular blinking quantum dots. These examples underline the
wide applicability of our approach, which is able to treat very different
mechanisms of anomalous diffusion.


title: $\mathbb{Z}$-graded simple rings

abstract:
  The Weyl algebra over a field $k$ of characteristic $0$ is a simple ring of
Gelfand-Kirillov dimension 2, which has a grading by the group of integers. We
classify all $\mathbb{Z}$-graded simple rings of GK-dimension 2 and show that
they are graded Morita equivalent to generalized Weyl algebras as defined by
Bavula. More generally, we study $\mathbb{Z}$-graded simple rings $A$ of any
dimension which have a graded quotient ring of the form $K[t, t^{-1}; \sigma]$
for a field $K$. Under some further hypotheses, we classify all such $A$ in
terms of a new construction of simple rings which we introduce in this paper.
In the important special case that $\operatorname{GKdim} A =
\operatorname{tr.deg}(K/k) + 1$, we show that $K$ and $\sigma$ must be of a
very special form. The new simple rings we define should warrant further study
from the perspective of noncommutative geometry.


title: Distributed Computation of Sparse Cuts

abstract:
  Finding sparse cuts is an important tool in analyzing large-scale distributed
networks such as the Internet and Peer-to-Peer networks, as well as large-scale
graphs such as the web graph, online social communities, and VLSI circuits. In
distributed communication networks, they are useful for topology maintenance
and for designing better search and routing algorithms.
  In this paper, we focus on developing fast distributed algorithms for
computing sparse cuts in networks. Given an undirected $n$-node network $G$
with conductance $\phi$, the goal is to find a cut set whose conductance is
close to $\phi$. We present two distributed algorithms that find a cut set with
sparsity $\tilde O(\sqrt{\phi})$ ($\tilde{O}$ hides $\polylog{n}$ factors).
Both our algorithms work in the CONGEST distributed computing model and output
a cut of conductance at most $\tilde O(\sqrt{\phi})$ with high probability, in
$\tilde O(\frac{1}{b}(\frac{1}{\phi} + n))$ rounds, where $b$ is balance of the
cut of given conductance. In particular, to find a sparse cut of constant
balance, our algorithms take $\tilde O(\frac{1}{\phi} + n)$ rounds.
  Our algorithms can also be used to output a {\em local} cluster, i.e., a
subset of vertices near a given source node, and whose conductance is within a
quadratic factor of the best possible cluster around the specified node. Both
our distributed algorithm can work without knowledge of the optimal $\phi$
value and hence can be used to find approximate conductance values both
globally and with respect to a given source node. We also give a lower bound on
the time needed for any distributed algorithm to compute any non-trivial sparse
cut --- any distributed approximation algorithm (for any non-trivial
approximation ratio) for computing sparsest cut will take $\tilde
\Omega(\sqrt{n} + D)$ rounds, where $D$ is the diameter of the graph.


title: Surface Plasmon Resonance of Dumb-bell Nano-structure

abstract:
  We present an intuitive theoretical description of the optical properties of
complex metal nano-structure, consisting of two nano-shells connected by a
nano-rod giving a dumb-bell like appearance. The simulations were done using
Finite Element Method. The effect of the nano-rod length and radius as also the
dimensions of the nano-shells were analyzed. The absorption spectra as in peak
positions and intensities have been found to have a strong dependence on the
geometrical parameters of the dumb-bell. This study provides evidence that the
localized surface plasmon modes play a key role in the broadband light
harvesting capabilities of these nanostructures and is promising for a wide
range of practical applications, for example in surface-enhanced
spectroscopies.


title: Pulse-Doppler Signal Processing with Quadrature Compressive Sampling

abstract:
  Quadrature compressive sampling (QuadCS) is a newly introduced sub-Nyquist
sampling for acquiring inphase and quadrature (I/Q) components of
radio-frequency signals. For applications to pulse-Doppler radars, the QuadCS
outputs can be arranged in 2-dimensional data similar to that by Nyquist
sampling. This paper develops a compressive sampling pulse-Doppler (CoSaPD)
processing scheme from the sub-Nyquist samples. The CoSaPD scheme follows
Doppler estimation/detection and range estimation and is conducted on the
sub-Nyquist samples without recovering the Nyquist samples. The Doppler
estimation is realized through spectrum analyzer as in classic processing. The
detection is done on the Doppler bin data. The range estimation is performed
through sparse recovery algorithms on the detected targets and thus the
computational load is reduced. The detection threshold can be set at a low
value for improving detection probability and then the introduced false targets
are removed in the range estimation stage through inherent detection
characteristic in the recovery algorithms. Simulation results confirm our
findings. The CoSaPD scheme with the data at one eighth the Nyquist rate and
for SNR above -25dB can achieve performance of the classic processing with
Nyquist samples.


title: Central Limit Theorems for Supercritical Superprocesses

abstract:
  In this paper, we establish a central limit theorem for a large class of
general supercritical superprocesses with spatially dependent branching
mechanisms satisfying a second moment condition. This central limit theorem
generalizes and unifies all the central limit theorems obtained recently in
Mi{\l}o\'{s} (2012, arXiv:1203:6661) and Ren, Song and Zhang (2013, to appear
in Acta Appl. Math., DOI 10.1007/s10440-013-9837-0) for supercritical super
Ornstein-Uhlenbeck processes. The advantage of this central limit theorem is
that it allows us to characterize the limit Gaussian field. In the case of
supercritical super Ornstein-Uhlenbeck processes with non-spatially dependent
branching mechanisms, our central limit theorem reveals more independent
structures of the limit Gaussian field.


title: Digital Circuits Implementation On Rpga Simulator

abstract:
  For Reversible computing, Target technology is yet to become available.
Adequate tools are not yet developed for reversible technology. Simulation is
still under development. Classical logic synthesis methods and simulation tools
can not be used in reversible computing. Because these work on irreversible
logic blocks but in reversible computing reversible logic blocks are used for
design and implementation. So, we need a simulation platform to analysis and
development in this area. So, we worked on this area and developed a GUI based
simulator. In the Dissertation work, we undertook simulation of RPGA,
reversible alternative to FPGA. We developed a RPGA simulator in our project.
RPGA simulator combines the technology of PLD/FPGA/SYSTOLIC array. Our RPGA
simulator, implements a given symmetric reversible Circuit on a RPGA structure.
We also worked on RPGA structure gates (picton and kerntopf gates) to develop a
better RPGA structure. Stepwise execution on RPGA structure is also performed
in RPGA simulator. We also designed new algorithms for Truth Table generation
and symmetry analysis. The dissertation work aims to develop entire simulator
is GUI based and easy to learn that makes it user friendly. User can easily
view all simulation results in GUI of our RPGA simulator.


title: Transient Weak-Lensing by Cosmological Dark Matter Microhaloes

abstract:
  We study the time variation of the apparent flux of cosmological point
sources due to the transient weak lensing by dark matter microhaloes. Assuming
a transverse motion of microhaloes with respect to our line of sight, we derive
the correspondence between the temporal power spectrum of the weak lensing
magnification, and the spatial power spectrum of density on small scales.
Considering different approximations for the small scale structure of dark
matter, we predict the apparent magnitude of cosmological point sources to vary
by as much as $10^{-4}-10^{-3}$, due to this effect, within a period of a few
months. This red photometric noise has an almost perfect gaussian statistics,
to one part in $\sim 10^4$. We also compare the transient weak lensing power
spectrum with the background effects such as the stellar microlensing on
cosmological scales. A quasar lensed by a galaxy or cluster like SDSSJ1004+4112
strong lensing system, with multiple images, is a suitable system for this
study as: (i) using the time-delay method between different images, we can
remove the intrinsic variations of the quasar, and (ii) strong lensing enhances
signals from the transient weak lensing. We also require the images to form at
large angular separations from the center of the lensing structure, in order to
minimize contamination by the stellar microlensing. With long-term monitoring
of quasar strong lensing systems with a 10-meter class telescope, we can
examine the existence of dark microhaloes as the building blocks of dark matter
structures. Failure to detect this signal may either be caused by a breakdown
of cold dark matter (CDM) hierarchy on small scales, or rather interpreted as
evidence against CDM paradigm, e.g. in favor of modified gravity models.


title:
Convergence of Y chromosome STR haplotypes from different SNP
  haplogroups compromises accuracy of haplogroup prediction

abstract:
  Short tandem repeats (STRs) and single nucleotide polymorphisms (SNPs) are
two kinds of commonly used markers in Y chromosome studies of forensic and
population genetics. There has been increasing interest in the cost saving
strategy by using the STR haplotypes to predict SNP haplogroups. However, the
convergence of Y chromosome STR haplotypes from different haplogroups might
compromise the accuracy of haplogroup prediction. Here, we compared the
worldwide Y chromosome lineages at both haplogroup level and haplotype level to
search for the possible haplotype similarities among haplogroups. The similar
haplotypes between haplogroups B and I2, C1 and E1b1b1, C2 and E1b1a1, H1 and
J, L and O3a2c1, O1a and N, O3a1c and O3a2b, and M1 and O3a2 have been found,
and those similarities reduce the accuracy of prediction.


title:
The loop effects on the chargino decays $\tilde{\chi}_1^\pm\to
  \tilde{\chi}_1^0 f f^\prime$ in the MSSM

abstract:
  The lighter chargino three body decays $\tilde{\chi}_1^\pm\to
\tilde{\chi}_1^0 f f^\prime$ via the $W^\pm$ boson and the charged Higgs boson
$H^\pm$ are studied in the R-parity conserved Minimal Supersymmetric Standard
Model (MSSM). We treat $\tilde \chi_1^\pm$ decays as production and decay of
$W^\pm$ and $H^\pm$: i.e., $\tilde{\chi}_1^\pm \to \tilde{\chi}_1^0 W^\pm
(H^\pm) \to \tilde{\chi}_1^0 f f^\prime$. Both higgsino-like and wino-like
$\tilde \chi_1^\pm$ decays are well investigated. These decays are calculated
at 1-loop level and the loop corrections are found to be less than three
percent.The signal of the charged Higgs $H^\pm$ production from $\tilde
\chi_1^\pm$ decays are discussed. It will offer important information about the
chargino and neutralino sector, as well as the charged Higgs sector in the
MSSM.


title:
Disease Prediction based on Functional Connectomes using a Scalable and
  Spatially-Informed Support Vector Machine

abstract:
  Substantial evidence indicates that major psychiatric disorders are
associated with distributed neural dysconnectivity, leading to strong interest
in using neuroimaging methods to accurately predict disorder status. In this
work, we are specifically interested in a multivariate approach that uses
features derived from whole-brain resting state functional connectomes.
However, functional connectomes reside in a high dimensional space, which
complicates model interpretation and introduces numerous statistical and
computational challenges. Traditional feature selection techniques are used to
reduce data dimensionality, but are blind to the spatial structure of the
connectomes. We propose a regularization framework where the 6-D structure of
the functional connectome is explicitly taken into account via the fused Lasso
or the GraphNet regularizer. Our method only restricts the loss function to be
convex and margin-based, allowing non-differentiable loss functions such as the
hinge-loss to be used. Using the fused Lasso or GraphNet regularizer with the
hinge-loss leads to a structured sparse support vector machine (SVM) with
embedded feature selection. We introduce a novel efficient optimization
algorithm based on the augmented Lagrangian and the classical alternating
direction method, which can solve both fused Lasso and GraphNet regularized SVM
with very little modification. We also demonstrate that the inner subproblems
of the algorithm can be solved efficiently in analytic form by coupling the
variable splitting strategy with a data augmentation scheme. Experiments on
simulated data and resting state scans from a large schizophrenia dataset show
that our proposed approach can identify predictive regions that are spatially
contiguous in the 6-D "connectome space," offering an additional layer of
interpretability that could provide new insights about various disease
processes.


title:
Towards a Mechanism of Rattler Coupling in the {\beta}-Pyrochlores
  AOs2O6 (A = K, Rb, Cs)

abstract:
  We have applied ab initio molecular dynamics (MD) simulations to study
metal-metal coupling on the alkali-metal sublattice in the {\beta}-pyrochlore
osmates, AOs2O6 (A = K, Rb, Cs) at 300 K. We find that the alkali-metal atoms
(rattlers) couple to each other more strongly than they couple to the cage
atoms, and that, at 300 K, this coupling is strongest for Cs. We show that this
coupling controls the dominant dynamics in the rattling of these atoms. We
provide preliminary evidence that the rattlers couple to each other primarily
through the T2g mode whereas their coupling to the cage modes occurs through
the T1u mode. Rattler coupling through the T2g mode provides insight into the
trend in spectral broadening from Cs to K. The spectral broadening is inversely
proportional to the strength of the dynamical correlations on the alkali-metal
sublattice which in turn depend on the atomic size of the rattler, decreasing
from Cs to K. Thus, the broadest spectrum exhibited by the K is partly a
consequence of the small size of this rattler which permits a greater range of
motions involving combinations of both correlated and anti-correlated dynamics.
We emphasize that the identification of the somewhat distinct roles of the T1u
and T2g modes in rattler coupling reported in this work is a significant step
towards a complete fundamental mechanism of rattler dynamical coupling in these
osmates. We believe that such a mechanism will have profound implications for a
broad class of cage compounds, including clathrates and skutterudites.


title: Strange Attractors for Asymptotically Zero Maps

abstract:
  A discrete dynamical system in Euclidean m-space generated by the iterates of
an asymptotically zero map f, satisfying f(x) goes to zero as x goes to
infinity, must have a compact global attracting set $A $. The question of what
additional hypotheses are sufficient to guarantee that A has a minimal
(invariant) subset A* that is a chaotic strange attractor is answered in detail
for a few types of asymptotically zero maps. These special cases happen to have
many applications (especially as mathematical models for a variety of processes
in ecological and population dynamics), some of which are presented as examples
and analyzed in considerable detail.


title:
Second Blows in the Head-on Collisions of the Spherical Nano Polymer
  Droplets

abstract:
  We report observations of weird but interesting phenomenon from the molecular
dynamics simulations, occurrence of second blows in the head-on collisions of
two equal-sized spherical nano polymer droplets. In the head-on collisions, we
usually expect a single peak of impact forces between two colliding droplets.
But, in the simulations, the second peak of the impact forces is actually
observed. Its underlying mechanisms at the molecular scale are also proposed.


title: Common Radiative Origin of Active and Sterile Neutrino Masses

abstract:
  Sterile neutrinos with sub-electron volt (eV) masses have recently received
serious attention due to the tantalizing hints from reactor neutrino
experiments as well as cosmology. While the nine year old Wilkinson Mass
Anisotropy Probe experiment suggests the effective number of relativistic
degrees of freedom to be $N_{\text{eff}} = 3.84 \pm 0.40$, recently reported
Planck collaboration results show more preference towards the standard three
light neutrino scenario $ N_{\text{eff}} = 3.30^{+0.54}_{-0.51}$. Keeping in
mind that the issue of existence or non-existence of sub-eV scale sterile
neutrinos is not yet settled, here we outline a mechanism to generate sub-eV
scale masses for three active and one sterile neutrinos simultaneously. The
model is based on an abelian extension of standard model where the fermion and
scalar fields are charged under the additional $U(1)$ gauge group in such an
anomaly free way that it allows one eV scale neutrino and three massless
neutrinos at tree level. However, at one loop level, this model naturally
allows three active and one sterile neutrino with mass at the sub-eV scale. The
model also allows for mixing between active and sterile neutrinos at one loop
level which can have interesting signatures in reactor neutrino experiments.


title:
On the Performance of Adaptive Packetized Wireless Communication Links
  under Jamming

abstract:
  We employ a game theoretic approach to formulate communication between two
nodes over a wireless link in the presence of an adversary. We define a
constrained, two-player, zero-sum game between a transmitter/receiver pair with
adaptive transmission parameters and an adversary with average and maximum
power constraints. In this model, the transmitter's goal is to maximize the
achievable expected performance of the communication link, defined by a utility
function, while the jammer's goal is to minimize the same utility function.
Inspired by capacity/rate as a performance measure, we define a general utility
function and a payoff matrix which may be applied to a variety of jamming
problems. We show the existence of a threshold such that if the jammer's
average power exceeds this threshold, the expected payoff of the transmitter at
Nash Equilibrium (NE) is the same as the case when the jammer uses its maximum
allowable power all the time. We provide analytical and numerical results for
transmitter and jammer optimal strategies and a closed form expression for the
expected value of the game at the NE. As a special case, we investigate the
maximum achievable transmission rate of a rate-adaptive, packetized, wireless
AWGN communication link under different jamming scenarios and show that
randomization can significantly assist a smart jammer with limited average
power.


title: Coefficient of Restitution for Viscoelastic Materials

abstract:
  An analytical expression of the coefficient of restitution for viscoelastic
materials is derived for the viscous-dominant case, such as collisions of
polymeric melt. The recently proposed normal impact force model between two
colliding viscoelastic droplets is employed. To analytically solve the
nonlinear differential equation of deformation caused by the other droplet, a
perturbation method is applied. By combining the forward collision and the
inverse collision, we can get an analytical expression for the coefficient of
restitution, which can also be used to further analyze other properties related
with the viscoelasticity.


title: Spider covers for prize-collecting network activation problem

abstract:
  In the network activation problem, each edge in a graph is associated with an
activation function, that decides whether the edge is activated from
node-weights assigned to its end-nodes. The feasible solutions of the problem
are the node-weights such that the activated edges form graphs of required
connectivity, and the objective is to find a feasible solution minimizing its
total weight. In this paper, we consider a prize-collecting version of the
network activation problem, and present first non- trivial approximation
algorithms. Our algorithms are based on a new LP relaxation of the problem.
They round optimal solutions for the relaxation by repeatedly computing
node-weights activating subgraphs called spiders, which are known to be useful
for approximating the network activation problem.


title: Power-Central Elements in Tensor Products of Symbol Algebras

abstract:
  Let A be a central simple algebra over a field F. Let k_1,\ldots, k_r be
cyclic extensions of F such that k_1\otimes_F\cdots \otimes_F k_r is a field.
We investigate conditions under which A is a tensor product of symbol algebras
where each k_i is in a symbol F-algebra factor of the same degree as k_i. As an
application, we give an example of an indecomposable algebra of degree 8 and
exponent 2 over a field of 2-cohomological dimension 4.


title:
Population synthesis on high-mass X-ray binaries: prospects and
  constraints from the universal X-ray luminosity function

abstract:
  Using an updated population synthesis code initially developed by Hurley et
al. we modeled the synthetic X-ray binary (XRB) populations for direct
comparison with the universal, featureless X-ray luminosity function (XLF) of
high mass X-ray binaries (HMXBs) in star-forming galaxies. Our main goal is to
use the universal XLF to constrain the model parameters, given the current
knowledge of binary evolution. We find that the one-dimensional (1D) Maxwellian
velocity dispersion of the natal kick can be constrained to be of the order of
~150km/s, supporting earlier findings that neutron stars (NSs) formed in
binaries seem to receive significantly smaller natal kicks than the velocities
of Galactic single pulsars would indicate. The super-Eddington accretion factor
is further confirmed in the framework of stellar mass black holes (BHs),
revealing the true origin of the most of the ultraluminous X-ray sources (ULXs)
may indeed be the high-luminosity extension of ordinary HMXBs which harbor
stellar-mass BHs rather than exotic intermediate-mass BHs or ones. We present
the detail properties of the model-predicted present-day HMXBs, which may be
investigated by future high-resolution X-ray and optical observations of
sources in nearby star-forming galaxies.


title:
Efficient coupling between dielectric waveguide modes and exterior
  plasmon whispering gallery modes

abstract:
  Inefficient coupling between dielectric guided mode and plasmon mode has been
overlooked in the past. The mechanism in it is essentially different from the
conventional coupling between dielectric modes. Based on qualitative
theoretical analysis, we proposed two methods to strengthen the coupling
between dielectric waveguide modes and exterior plasmon whispering gallery
modes. One is using a U-shaped bent waveguide to break the adiabatic mode
conversion process, and the other is to render the dielectric mode of
higher-order to reach phase matching with plasmon mode. Both the transmission
spectrum of waveguide and the energy spectrum of cavity demonstrate that the
coupling efficiencies can be greatly improved. These simple configurations are
potential for wide applications, for example, tunable integrated optical
devices, nanolasers and sensors.


title: MLI: An API for Distributed Machine Learning

abstract:
  MLI is an Application Programming Interface designed to address the
challenges of building Machine Learn- ing algorithms in a distributed setting
based on data-centric computing. Its primary goal is to simplify the
development of high-performance, scalable, distributed algorithms. Our initial
results show that, relative to existing systems, this interface can be used to
build distributed implementations of a wide variety of common Machine Learning
algorithms with minimal complexity and highly competitive performance and
scalability.


title:
Equivalent forces in Newton equation from twist deformations and
  noninertial coordinate frames

abstract:
  We compare two ways of force terms generating in the model of nonrelativistic
particle moving in the presence of constant field force $\vec{F}$. First of
them uses the twist-deformed N-enlarged Newton-Hooke quantum space-times while
the second one incorporates the Coriolis transformations of classical space.
Particularly, we find the conditions for which the both treatments provide the
same force terms. The presented investigations are performed by analogy to the
schemes and ideas proposed in paper [1].


title:
Convergence of Empirical Spectral Distributions of Large Dimensional
  Quaternion Sample Covariance Matrices

abstract:
  In this paper we establish the limit of the empirical spectral distribution
of quaternion sample covariance matrices. Suppose $\mathbf X_n =
({x_{jk}^{(n)}})_{p\times n}$ is a quaternion random matrix. For each $n$, the
entries $\{x_{ij}^{(n)}\}$ are independent random quaternion variables with a
common mean $\mu$ and variance $\sigma^2>0$. It is shown that the empirical
spectral distribution of the quaternion sample covariance matrix $\mathbf
S_n=n^{-1}\mathbf X_n\mathbf X_n^*$ converges to the M-P law as $p\to\infty$,
$n\to\infty$ and $p/n\to y\in(0,+\infty)$.


title: On the structure of the set of higher order spreading models

abstract:
  We generalize some results concerning the classical notion of a spreading
model for the spreading models of order $\xi$. Among them, we prove that the
set $SM_\xi^w(X)$ of the $\xi$-order spreading models of a Banach space $X$
generated by subordinated weakly null $\mathcal{F}$-sequences endowed with the
pre-partial order of domination is a semi-lattice. Moreover, if $SM_\xi^w(X)$
contains an increasing sequence of length $\omega$ then it contains an
increasing sequence of length $\omega_1$. Finally, if $SM_\xi^w(X)$ is
uncountable, then it contains an antichain of size the continuum.


title: Validating Network Value of Influencers by means of Explanations

abstract:
  Recently, there has been significant interest in social influence analysis.
One of the central problems in this area is the problem of identifying
influencers, such that by convincing these users to perform a certain action
(like buying a new product), a large number of other users get influenced to
follow the action. The client of such an application is a marketer who would
target these influencers for marketing a given new product, say by providing
free samples or discounts. It is natural that before committing resources for
targeting an influencer the marketer would be interested in validating the
influence (or network value) of influencers returned. This requires digging
deeper into such analytical questions as: who are their followers, on what
actions (or products) they are influential, etc. However, the current
approaches to identifying influencers largely work as a black box in this
respect. The goal of this paper is to open up the black box, address these
questions and provide informative and crisp explanations for validating the
network value of influencers.
  We formulate the problem of providing explanations (called PROXI) as a
discrete optimization problem of feature selection. We show that PROXI is not
only NP-hard to solve exactly, it is NP-hard to approximate within any
reasonable factor. Nevertheless, we show interesting properties of the
objective function and develop an intuitive greedy heuristic. We perform
detailed experimental analysis on two real world datasets - Twitter and
Flixster, and show that our approach is useful in generating concise and
insightful explanations of the influence distribution of users and that our
greedy algorithm is effective and efficient with respect to several baselines.


title: Nuclear shell-model code for massive parallel computation, "KSHELL"

abstract:
  A new code for nuclear shell-model calculations, "KSHELL", is developed. It
aims at carrying out both massively parallel computation and single-node
computation in the same manner. We solve the Schr\"{o}dinger's equation in the
$M$-scheme shell-model model space, utilizing Thick-Restart Lanczos method.
During the Lanczos iteration, the whole Hamiltonian matrix elements are
generated "on-the-fly" in every matrix-vector multiplication. The vectors of
the Lanczos method are distributed and stored on memory of each parallel node.
We report that the newly developed code has high parallel efficiency on FX10
supercomputer and a PC with multi-cores.


title: Experimental Study of Quantum Noise in Optical Heterodyne Detection

abstract:
  We experimentally investigate the quantum-noise performance of a conventional
heterodyne detector and find significant discrepancy between experiment and
theory. Further investigations are highly recommended for deeper insight into
the physics related to the quantum noise in optical heterodyne detection.


title: Efficient entanglement operator for a multi-qubit system

abstract:
  In liquid-state NMR quantum computation, a selective entanglement operator
between qubits 2 and 3 of a three-qubit molecule is conventionally realized by
applying a pair of short $\pi$-pulses to qubit 1. This method, called
refocusing, is well suited for heteronuclear molecules. When the molecule is
homonuclear, however, the $\pi$-pulses applied to qubit 1 often induce unwanted
$z$-rotations on qubits 2 and 3, even if the $z$-components of qubits 2 and 3
are left unchanged. This phenomenon is known as the transient Bloch-Siegert
effect, and compensation thereof is required for precise gate operation. We
propose an alternative refocusing method, in which a weak square pulse is
applied to qubit 1. This technique has the advantage of curbing the
Bloch-Siegert effect, making it suitable for both hetero- and homonuclear
molecules.


title: Spinning gauged boson stars in anti-de Sitter spacetime

abstract:
  We study axially symmetric solutions of the Einstein-Maxwell-Klein-Gordon
equations describing spinning gauged boson stars in a 3+1 dimensional
asymptotically AdS spacetime. These smooth horizonless solutions possess an
electric charge and a magnetic dipole moment, their angular momentum being
proportional to the electric charge. A special class of solutions with a
self-interacting scalar field, corresponding to static axially symmetric
solitons with a nonzero magnetic dipole moment, is also investigated.


title: Terahertz Wave Guiding by Femtosecond Laser Filament in Air

abstract:
  Femtosecond laser filament generates strong terahertz (THz) pulse in air. In
this paper, THz pulse waveform generated by femtosecond laser filament has been
experimentally investigated as a function of the length of the filament.
Superluminal propagation of THz pulse has been uncovered, indicating that the
filament creates a THz waveguide in air. Numerical simulation has confirmed
that the waveguide is formed because of the radially non-uniform refractive
index distribution inside the filament. The underlying physical mechanisms and
the control techniques of this type THz pulse generation method might be
revisited based on our findings. It might also potentially open a new approach
for long-distance propagation of THz wave in air.


title:
Real hypersurfaces in complex hyperbolic two-plane Grassmannians related
  to the Reeb vector field

abstract:
  In this paper we give a characterization of real hypersurfaces in noncompact
complex two-plane Grassmannian $SU_{2,m}/S(U_2 U_m)$, $m \geq 2$ with Reeb
vector field $\xi$ belonging to the maximal quaternionic subbundle $\mathcal
Q$. Then it becomes a tube over a totally real totally geodesic ${\mathbb
H}H^n$, $m=2n$, in noncompact complex two-plane Grassmannian $SU_{2,m}/S(U_2
U_m)$, a horosphere whose center at the infinity is singular or another
exceptional case.


title:
Monotonicity of the first eigenvalue of the Laplace and the p-Laplace
  operators under a forced mean curvature flow

abstract:
  In this paper, we would like to give an answer to \textbf{Problem 1} below
issued firstly in [J. Mao, Eigenvalue estimation and some results on finite
topological type, Ph.D. thesis, IST-UTL, 2013]. In fact, by imposing some
conditions on the mean curvature of the initial hypersurface and the
coefficient function of the forcing term of a forced mean curvature flow
considered here, we can obtain that the first eigenvalues of the Laplace and
the $p$-Laplace operators are monotonic under this flow. Surprisingly, during
this process, we get an interesting byproduct, that is, without any complicated
constraint, we can give lower bounds for the first nonzero closed eigenvalue of
the Laplacian provided additionally the second fundamental form of the initial
hypersurface satisfies a pinching condition.


title: Variational Bayesian inference for linear and logistic regression

abstract:
  The article describe the model, derivation, and implementation of variational
Bayesian inference for linear and logistic regression, both with and without
automatic relevance determination. It has the dual function of acting as a
tutorial for the derivation of variational Bayesian inference for simple
models, as well as documenting, and providing brief examples for the
MATLAB/Octave functions that implement this inference. These functions are
freely available online.


title: Role OF Web 2.0 IN E-Governance

abstract:
  This research paper conducts a survey of the various government organizations
that are using Web 2.0 to enhance their functionality, interact with potential
audience and to reach out to a huge customer base. The aim of the paper is to
study the role of Web 2.0 in E-Governance and the various benefits that has
been achieved through it. This research paper is based on qualitative case
study method. We have reviewed existing state-of-the-art Web 2.0 applications
and E-Governance initiatives related with Web 2.0. We have included case
studies to support the proposition that use of Web 2.0 can enhance the
participation of citizens in E-Governance initiatives in an interactive manner.
This paper proposes that many of the government organizations can exploit the
benefits of Web 2.0 and hence can leverage its flexibility and interactive
nature. The study concludes that by establishing links with the social
networks, it is possible to reach a much wider audience easily and cost
effectively. The use of Web 2.0 applications can also bring out the
transparency in the government affairs. The Number of government organizations
embracing this new technology is on increase. The paper had surveyed few
organizations which are using Web 2.0 tools to enhance their operations.


title:
Marginally specified models for analyzing multivariate longitudinal
  binary data

abstract:
  Marginally specified models have recently become a popular tool for discrete
longitudinal data analysis. Nonetheless, they introduce complex constraint
equations and model fitting algorithms. Moreover, there is a lack of available
software to fit these models. In this paper, we propose a three-level
marginally specified model for analysis of multivariate longitudinal binary
response data. The implicit function theorem is introduced to approximately
solve the marginal constraint equations explicitly. Furthermore, the use of
\textit{probit} link enables direct solutions to the convolution equations. We
propose an R package \textbf{pnmtrem} to fit the model. A simulation study is
conducted to examine the properties of the estimator. We illustrate the model
on the Iowa Youth and Families Project data set.


title:
The influence of the magnetic field on the spectral properties of
  blazars

abstract:
  We explore the signature imprinted by dynamically relevant magnetic fields on
the spectral energy distribution (SED) of blazars. It is assumed that the
emission from these sources originates from the collision of cold plasma
shells, whose magnetohydrodynamic evolution we compute by numerically solving
Riemann problems. We compute the SEDs including the most relevant radiative
processes and scan a broad parameter space that encompasses a significant
fraction of the commonly accepted values of not directly measurable physical
properties. We reproduce the standard double hump SED found in blazar
observations for unmagnetized shells, but show that the prototype double hump
structure of blazars can also be reproduced if the dynamical source of the
radiation field is very ultrarelativistic both, in a kinematically sense
(namely, if it has Lorentz factors \gtrsim 50) and regarding its magnetization
(e.g., with flow magnetizations \sigma \simeq 0.1). A fair fraction of the {\em
blazar sequence} could be explained as a consequence of shell magnetization:
negligible magnetization in FSRQs, and moderate or large (and uniform)
magnetization in BL Lacs. The predicted photon spectral indices (\gph) in the
\gamma-ray band are above the observed values (\Gamma_{\rm ph, obs} \lesssim
2.6 for sources with redshifts 0.4\le z \le 0.6) if the magnetization of the
sources is moderate (\sigma \simeq 10^{-2}).


title: Suppression of the quantum collapse in binary bosonic gases

abstract:
  Attraction of the quantum particle to the center in the 3D space with
potential V/r^2 gives rise to the quantum collapse, i.e., nonexistence of the
ground state (GS) when the attraction strength exceeds a critical value (V =
1/8, in the present notation). Recently, we have demonstrated that the quantum
collapse is suppressed, and the GS is restored, if repulsive interactions
between particles in the quantum gas are taken into account, in the mean-field
approximation. This setting can be realized in a gas of dipolar molecules
attracted to the central charge, with dipole-dipole interactions taken into
regard too. Here we analyze this problem for a binary gas. GSs supported by the
repulsive interactions are constructed in a numerical form, as well as by means
of analytical approximations for both miscible and immiscible binary systems.
In particular, the Thomas-Fermi (TF) approximation is relevant if V is large
enough. It is found that the GS of the miscible binary gas, both balanced and
imbalanced, features a weak phase transition at another critical value, V =
1/2. The transition is characterized by an analyticity-breaking change in the
structure of the wave functions at small r. To illustrate the generic character
of the present phenomenology, we also consider the binary system with the
attraction between the species (rather than repulsion), in the case when the
central potential pulls a single component only.


title:
Terahertz imaging with sub-wavelength resolution by femtosecond laser
  filament in air

abstract:
  Terahertz (THz) imaging provides cutting edge technique in biology, medical
sciences and non-destructive evaluation. However, due to the long wavelength of
the THz wave, the obtained resolution of THz imaging is normally a few hundred
microns and is much lower than that of the traditional optical imaging. We
introduce a sub-wavelength resolution THz imaging technique which uses the THz
radiation generated by a femtosecond laser filament in air as the probe. This
method is based on the fact that the femtosecond laser filament forms a
waveguide for the THz wave in air. The diameter of the THz beam, which
propagates inside the filament, varies from 20 {\mu}m to 50 {\mu}m, which is
significantly smaller than the wavelength of the THz wave. Using this highly
spatially confined THz beam as the probe, THz imaging with resolution as high
as 20 {\mu}m (~{\lambda}/38) can be realized.


title:
Grisvard's shift theorem near L^infinity and Yudovich theory on
  polygonal domains

abstract:
  Let Omega be a bounded, simply connected domain with boundary of class
C^{1,1} except at finitely many points S_j where the boundary is locally a
corner of aperture alpha_j<=pi/2. Improving on results of Grisvard, we show
that the solution Gf to the Dirichlet problem on Omega with data f in
L^infinity(Omega) and homogeneous boundary conditions has exponentially
integrable second derivatives. The proof uses sharp L^p bounds for singular
integrals on power weighted spaces inspired by the work of Buckley. Our results
allow for the extension of the Yudovich theory of existence, uniqueness and
regularity of weak solutions to the Euler equations on Omega x (0,T) to
polygonal domains Omega as above.


title: Nonlinear Localization in Metamaterials

abstract:
  Metamaterials, i.e., artificially structured ("synthetic") media comprising
weakly coupled discrete elements, exhibit extraordinary properties and they
hold a great promise for novel applications including super-resolution imaging,
cloaking, hyperlensing, and optical transformation. Nonlinearity adds a new
degree of freedom for metamaterial design that allows for tuneability and
multistability, properties that may offer altogether new functionalities and
electromagnetic characteristics. The combination of discreteness and
nonlinearity may lead to intrinsic localization of the type of discrete
breather in metallic, SQUID-based, and ${\cal PT}-$symmetric metamaterials. We
review recent results demonstrating the generic appearance of breather
excitations in these systems resulting from power-balance between intrinsic
losses and input power, either by proper initialization or by purely dynamical
procedures. Breather properties peculiar to each particular system are
identified and discussed. Recent progress in the fabrication of low-loss,
active and superconducting metamaterials, makes the experimental observation of
breathers in principle possible with the proposed dynamical procedures.


title: Rate Control Adaptation for Heterogeneous Handovers

abstract:
  We present enhancements to the TCP-Friendly Rate Control mechanism (TFRC)
designed to better handle the intermittent connectivity occurring in mobility
situations. Our aim is to quickly adapt to new network conditions and better
support real-time applications for which the user-perceived quality depends on
the immediate transmission rate. We propose to suspend the transmission before
disconnections occur, in a way inspired by Freeze-TCP, and extend the solution
by probing the network after reconnecting to enable full use of the newly
available capacity.
  We first introduce a numerical model of TFRC's performance after a network
handover and use it to evaluate the potential performance gains for realistic
network parameters. We then describe a set of additions to TFRC to achieve
these gains. Implementations within the Datagram Congestion Control Protocol
(DCCP) for ns -2 and Linux have been adapted to support these enhancements.
Comparisons of experimental results for the original and modified DCCP are
presented for a number of example mobility scenarios.
  We thus show how the proposed modifications enable faster recovery after
disconnected periods as well as significantly improved adjustments to the newly
available network conditions and an improvement in the quality of experience
(QoE) for video-streaming applications.


title:
Physical conditions and element abundances in galaxies at redshift
  0.001<z<3.4 : evolution trends

abstract:
  We have collected an heterogeneous sample of galaxies at redshifts
0.001<z<3.35 with the aim of exploring the evolution of the physical parameters
and of the element abundances calculated by modelling the observed spectra. The
evolution picture which results from our calculations shows that: 1) the
emitting gaseous clouds in both active galactic nuclei (AGN) and starburst (SB)
galaxies have a density broad peak at z=0.5 becoming less dense and more
elongated with time. 2) The Ha flux emitted from the AGN clouds has a maximum
at z= 0.1. 3) The observed star temperatures in SBs increase with time,
indicating younger stars in local galaxies. 4) The O/H relative abundances show
splitting between solar and 0.1 solar at 0.3<z<3. N/H also shows splitting in
this z range but it also has a broad flat maximum between z=0.1 and z=0.001. 5)
The AGN narrow line region and the regions surrounding the SB show
fragmentation at z >0.35. 6) Metallicity (in terms of O/H) correlates with Ha
luminosity (La) and therefore with the star formation rate with different
trends regarding SBs and AGNs for La > 10^{41} erg s^{-1}. A rough correlation
is seen also for N/H. There seems to be no correlation for low luminosity
galaxies.


title: Multivariate Concentration Inequalities with Size Biased Couplings

abstract:
  Let $\mathbf{W}=(W_1,W_2,...,W_k)$ be a random vector with nonnegative
coordinates having nonzero and finite variances. We prove concentration
inequalities for $\mathbf{W}$ using size biased couplings that generalize the
previous univariate results. Two applications on local dependence and counting
patterns are provided.


title:
On the line profile changes observed during the X2.2 class flare in the
  active region NOAA 11158

abstract:
  The solar active region NOAA 11158 produced a series of flares during its
passage through the solar disk. The first major flare (of class X2.2) of the
current solar cycle occurred in this active region on 2011 February 15 around
01:50 UT. We have analyzed the Dopplergrams and magnetograms obtained by the
Helioseismic and Magnetic Imager (HMI) instrument onboard Solar Dynamics
Observatory (SDO) to examine the photospheric velocity and magnetic field
changes associated with this flare. The HMI instrument provides high-quality
Doppler and magnetic maps of the solar disk at 0.5 arcsec spatial scale at a
cadence of 45 s along with imaging spectroscopy. We have identified five
locations of velocity transients in the active region during the flare. These
transient velocity signals are located in and around the flare ribbons as
observed by Hinode in Ca II H wavelength and the footpoints of hard X-ray
enhancement in the energy range 12-25 keV from RHESSI. The changes in shape and
width of two circular polarization states have been observed at the time of
transients in three out of five locations. Forward modeling of the line
profiles shows that the change in atmospheric parameters such as magnetic field
strength, Doppler velocity and source function could explain the observed
changes in the line profiles with respect to the pre-flare condition.


title:
The origin of cold gas in giant elliptical galaxies and its role in
  fueling radio-mode AGN feedback

abstract:
  We present a multi-wavelength study of the interstellar medium in eight
nearby, X-ray and optically bright, giant elliptical galaxies. Using Herschel
PACS, we map the cold gas in the lines of [CII], [OI], and [OIb]. Additionally,
we present Ha+[NII] imaging of warm ionized gas with the SOAR telescope, and a
study of the hot X-ray emitting plasma with Chandra. All systems with extended
Ha emission in our sample (6/8 galaxies) display significant [CII] line
emission indicating the presence of cold gas. This emission is co-spatial with
the Ha+[NII] emitting nebulae and the lowest entropy X-ray emitting plasma. The
entropy profiles of the hot galactic atmospheres show a clear dichotomy, with
the systems displaying extended emission line nebulae having lower entropies
beyond r~1 kpc than the cold-gas-poor systems. We show that while the hot
atmospheres of the cold-gas-poor galaxies are thermally stable outside of their
innermost cores, the atmospheres of the cold-gas-rich systems are prone to
cooling instabilities. This result indicates that the cold gas is produced
chiefly by thermally unstable cooling from the hot phase. We show that cooling
instabilities may develop more easily in rotating systems and discuss an
alternative condition for thermal instability for this case. The hot
atmospheres of cold-gas-rich galaxies display disturbed morphologies indicating
that the accretion of clumpy multiphase gas in these systems may result in
variable power output of the AGN jets, potentially triggering sporadic, larger
outbursts. In the two cold-gas-poor, X-ray morphologically relaxed galaxies of
our sample, NGC 1399 and NGC 4472, powerful AGN outbursts may have destroyed or
removed most of the cold gas from the cores, allowing the jets to propagate and
deposit most of their energy further out, increasing the entropy of the hot
galactic atmospheres and leaving their cores relatively undisturbed.


title:
Strong approximation results for the empirical process of stationary
  sequences

abstract:
  We prove a strong approximation result for the empirical process associated
to a stationary sequence of real-valued random variables, under dependence
conditions involving only indicators of half lines. This strong approximation
result also holds for the empirical process associated to iterates of expanding
maps with a neutral fixed point at zero, as soon as the correlations decrease
more rapidly than $n^{-1-\delta}$ for some positive $\delta$. This shows that
our conditions are in some sense optimal.


title: What is the Schwarzschild radius of a quantum mechanical particle?

abstract:
  A localised particle in Quantum Mechanics is described by a wave packet in
position space, regardless of its energy. However, from the point of view of
General Relativity, if the particle's energy density exceeds a certain
threshold, it should be a black hole. In order to combine these two pictures,
we introduce a horizon wave-function determined by the position wave-function,
which yields the probability that the particle is a black hole. The existence
of a (fuzzy) minimum mass for black holes naturally follows, and we also show
that our construction entails an effective Generalised Uncertainty Principle
simply obtained by adding the uncertainties coming from the two wave-functions.


title: Natural correlation between a system and a thermal reservoir

abstract:
  Non-Markovian corrections to the Markovian quantum master equation of an open
quantum system are investigated up to the second order of the interaction
between the system of interest and a thermal reservoir. The concept of "natural
correlation" is discussed. When the system is naturally correlated with a
thermal reservoir, the time evolution of the reduced density matrix looks
Markovian even in a short-time regime. If the total system was initially in an
"unnatural" state, the natural correlation is established during the time
evolution, and after that the time evolution becomes Markovian in a long-time
regime. It is also shown that for a certain set of reduced density matrices,
the naturally correlated state does not exist. If the initial reduced density
matrix has no naturally correlated state, the time evolution is inevitably
non-Markovian in a short-time regime.


title: The minimal base size for a p-solvable linear group

abstract:
  Let $V$ be a finite vector space over a finite field of order $q$ and of
characteristic $p$. Let $G\leq GL(V)$ be a $p$-solvable completely reducible
linear group. Then there exists a base for $G$ on $V$ of size at most $2$
unless $q \leq 4$ in which case there exists a base of size at most $3$. The
first statement extends a recent result of Halasi and Podoski and the second
statement generalizes a theorem of Seress. An extension of a theorem of P\'alfy
and Wolf is also given.


title: Okubo algebras: automorphisms, derivations and idempotents

abstract:
  A survey of some properties of Okubo algebras is presented. Emphasis is put
on automorphisms and derivations of these algebras, especially in
characteristic three, where the situation is more involved and interesting. In
this case, the Okubo algebra is closely related to a nodal noncommutative
Jordan algebra.
  Dedicated to Helmut Strade on the occasion of his 70th birthday.


title: On Weakly Uniform Integer Additive Set-Indexers of Graphs

abstract:
  Acharya introduced the notion of set-valuations of graphs as a set analogue
of the number valuations of graphs. Also we have the notion of set-indexers,
integer additive set-indexers and k-uniform integer additive set-indexers. In
this paper, we initiate a study of the graphs which admit k-uniform integer
additive set-indexers as a generalisation to the earlier studies of 1-uniform
and 2-uniform integer additive set-indexers. We introduce the notion of weakly
uniform integer additive set-indexers and arbitrarily uniform integer additive
set-indexers based on the cardinality of the labeling sets and provide some
useful results on these types of set-indexers.


title:
On the Non-uniform Distribution of the Angular Elements of Near-Earth
  Objects

abstract:
  We examine the angular distributions of near-Earth objects (NEOs) which are
often regarded as uniform. The apparent distribution of the longitude of
ascending node, $\Omega$, is strongly affected by well-known seasonal effects
in the discovery rate of NEOs. The deviation from the expected
$\pi$-periodicity in the apparent distribution of $\Omega$ indicates that its
intrinsic distribution is slightly enhanced along a mean direction,
$\bar\Omega=111^\circ$; approximately 53% of NEOs have $\Omega$ values within
$\pm90^\circ$ of $\bar\Omega$. We also find that each sub-group of NEOs (Amors,
Apollos and Atens) has different observational selection effects which cause
different non-uniformities in the apparent distributions of their arguments of
perihelion $\omega$, and longitudes of perihelion $\varpi$. For their intrinsic
distributions, our analysis reveals that the Apollo asteroids have non-uniform
$\omega$ due to secular dynamics associated with
inclination-eccentricity-$\omega$ coupling, and the Amors' $\varpi$
distribution is peaked towards the secularly forced eccentricity vector. The
Apollos' $\omega$ distribution is axial, favoring values near 0 and
$180^\circ$; the two quadrants centered at 0 and $180^\circ$ account for 55% of
the Apollos' $\omega$ values. The Amors' $\varpi$ distribution peaks near
$\bar\varpi=4^\circ$; sixty-one percent of Amors have $\varpi$ within
$\pm90^\circ$ of this peak. We show that these modest but statistically
significant deviations from uniform random distributions of angular elements
are owed to planetary perturbations, primarily Jupiter's. It is remarkable that
this strongly chaotic population of minor planets reveals the presence of
Jupiter in its angular distributions.


title: Charm energy loss and D-D correlations from a shower picture

abstract:
  Measurements of mesons containing charm or bottom quarks at high transverse
momentum (P_T) constitute an interesting set of probes for the nature of the
interaction of hard partons with a QCD medium as created in ultrarelativistic
heavy-ion (A-A) collisions. Not only can D and B mesons to a reasonable
accuracy be assumed to represent the hadronization of a b or c quark after
passage through the medium, i.e. they explicitly reflect quark-medium
interaction, but also their interaction physics is expected to be different
from light partons traversing a medium: The quark mass restricts radiation
phase space, leading to a reduction of both vacuum and medium induced
radiation, a phenomenon known as the 'dead cone effect'. Due to this difference
in physics, heavy quark interaction with the medium is usually treated in the
leading parton energy loss approximation, whereas the theory of light parton
physics has moved to modeling the full medium-modified shower evolution. In
this work, an attempt is made to create a more unified description of light
parton and heavy quark physics at high P_T by computing charm-medium
interactions in terms of the nuclear suppression factor and back-to-back
correlations using an in-medium shower evolution Monte Carlo (MC) code that is
well tested for light parton physics.


title:
High-order myopic coronagraphic phase diversity (COFFEE) for wave-front
  control in high-contrast imaging systems

abstract:
  The estimation and compensation of quasi-static aberrations is mandatory to
reach the ultimate performance of high-contrast imaging systems. COFFEE is a
focal plane wave-front sensing method that consists in the extension of phase
diversity to high-contrast imaging systems. Based on a Bayesian approach, it
estimates the quasi-static aberrations from two focal plane images recorded
from the scientific camera itself. In this paper, we present COFFEE's extension
which allows an estimation of low and high order aberrations with nanometric
precision for any coronagraphic device. The performance is evaluated by
realistic simulations, performed in the SPHERE instrument framework. We develop
a myopic estimation that allows us to take into account an imperfect knowledge
on the used diversity phase. Lastly, we evaluate COFFEE's performance in a
compensation process, to optimize the contrast on the detector, and show it
allows one to reach the 10^-6 contrast required by SPHERE at a few resolution
elements from the star. Notably, we present a non-linear energy minimization
method which can be used to reach very high contrast levels (better than 10^-7
in a SPHERE-like context)


title:
Generalized mean field approximation for parallel dynamics of the Ising
  model

abstract:
  The dynamics of non-equilibrium Ising model with parallel updates is
investigated using a generalized mean field approximation that incorporates
multiple two-site correlations at any two time steps, which can be obtained
recursively. The proposed method shows significant improvement in predicting
local system properties compared to other mean field approximation techniques,
particularly in systems with symmetric interactions. Results are also evaluated
against those obtained from Monte Carlo simulations. The method is also
employed to obtain parameter values for the kinetic inverse Ising modeling
problem, where couplings and local fields values of a fully connected spin
system are inferred from data.


title:
$K$ and $D$ oscillations in the Standard Model and its extensions from
  $N_f=2+1+1$ Twisted Mass LQCD

abstract:
  We present the first $N_f=2+1+1$ results for the matrix elements of the
operators describing neutral $K$ and $D$ mixing in the Standard Model and its
extensions. The combination of maximally twisted sea quarks and
Osterwalder-Seiler valence quarks ensures $\mathcal{O}(a)$-improvement and
continuum like renormalization pattern. We have used the $N_f=2+1+1$ dynamical
quark gauge configurations generated by ETMC. Simulations include three lattice
spacings in the interval $[0.06:0.09]$ fm and pseudoscalar meson masses in the
range $[230:500]$ MeV. Our results are extrapolated to the continuum limit and
to the physical quark masses. The calculation of the renormalization constants
has been performed non-perturbatively in the RI-MOM scheme.


title: On long time dynamics of perturbed KdV equations

abstract:
  Consider perturbed KdV equations: \[u_t+u_{xxx}-6uu_x=\epsilon
f(u(\cdot)),\quad
x\in\mathbb{T}=\mathbb{R}/\mathbb{Z},\;\int_{\mathbb{T}}u(x,t)dx=0,\] where the
nonlinearity defines analytic operators $u(\cdot)\mapsto f(u(\cdot))$ in
sufficiently smooth Sobolev spaces. Assume that the equation has an
$\epsilon$-quasi-invariant measure $\mu$ and satisfies some additional mild
assumptions. Let $u^{\epsilon}(t)$ be a solution. Then on time intervals of
order $\epsilon^{-1}$, as $\epsilon\to0$, its actions
$I(u^{\epsilon}(t,\cdot))$ can be approximated by solutions of a certain
well-posed averaged equation, provided that the initial datum is $\mu$-typical.


title: Engineering Crowdsourced Stream Processing Systems

abstract:
  A crowdsourced stream processing system (CSP) is a system that incorporates
crowdsourced tasks in the processing of a data stream. This can be seen as
enabling crowdsourcing work to be applied on a sample of large-scale data at
high speed, or equivalently, enabling stream processing to employ human
intelligence. It also leads to a substantial expansion of the capabilities of
data processing systems. Engineering a CSP system requires the combination of
human and machine computation elements. From a general systems theory
perspective, this means taking into account inherited as well as emerging
properties from both these elements. In this paper, we position CSP systems
within a broader taxonomy, outline a series of design principles and evaluation
metrics, present an extensible framework for their design, and describe several
design patterns. We showcase the capabilities of CSP systems by performing a
case study that applies our proposed framework to the design and analysis of a
real system (AIDR) that classifies social media messages during time-critical
crisis events. Results show that compared to a pure stream processing system,
AIDR can achieve a higher data classification accuracy, while compared to a
pure crowdsourcing solution, the system makes better use of human workers by
requiring much less manual work effort.


title: On the decomposition into Discrete, type II and type III $C^*$-algebras

abstract:
  We obtained a "decomposition scheme" of C*-algebras. We show that the classes
of discrete C*-algebras (as defined by Peligard and Zsido), type II C*-algebras
and type III C*-algebras (both defined by Cuntz and Pedersen) form a good
framework to "classify" C*-algebras. In particular, we found that these classes
are closed under strong Morita equivalence, hereditary C*-subalgebras as well
as taking "essential extension" and "normal quotient". Furthermore, there exist
the largest discrete finite ideal $A_{d,1}$, the largest discrete essentially
infinite ideal $A_{d,\infty}$, the largest type II finite ideal $A_{II,1}$, the
largest type II essentially infinite ideal $A_{II,\infty}$, and the largest
type III ideal $A_{III}$ of any C*-algebra $A$ such that $A_{d,1} +
A_{d,\infty} + A_{II,1} + A_{II,\infty} + A_{III}$ is an essential ideal of
$A$. This "decomposition" extends the corresponding one for $W^*$-algebras.
  We also give a closer look at C*-algebras with Hausdorff primitive spectrum,
AW*-algebras as well as local multiplier algebras of C*-algebras. We find that
these algebras can be decomposed into continuous fields of prime C*-algebras
over a locally compact Hausdorff space, with each fiber being non-zero and of
one of the five types mentioned above.


title: The conformal-to-Einstein equation on M\"obius surfaces

abstract:
  On a conformal manifold, it is well known that parallel sections of the
standard tractor bundle with non-vanishing scale are in 1-1 correspondence with
solutions of the conformal Einstein equation. In 2 dimensions conformal
geometry carries no local information but one can remedy this by equipping the
surface with a M\"obius structure. The conformal Einstein equation is then a
well defined overdetermined system of linear PDEs on the M\"obius surface. It
turns out however that an additional term involving curvature in the form of
the Cotton-York tensor appears in the prolongation of the conformal Einstein
equation in 2-dimensions, in contrast to the higher dimensional setting. We
establish a 1-1 correspondence between solutions of the conformal Einstein
equation on M\"obius surfaces with non-vanishing scale and parallel sections of
the modified standard tractor connection called the prolongation connection. We
also discuss the consequence of this in deriving local obstructions, and also
obtain (partial) results on the possible dimensions of the kernel space of the
conformal-to-Einstein operator on M\"obius surfaces.


title:
Present Y chromosomes support the Persian ancestry of Sayyid Ajjal Shams
  al-Din Omar and Eminent Navigator Zheng He

abstract:
  Sayyid Ajjal is the ancestor of many Muslims in areas all across China. And
one of his descendants is the famous Navigator of Ming Dynasty, Zheng He, who
led the largest armada in the world of 15th century. The origin of Sayyid
Ajjal's family remains unclear although many studies have been done on this
topic of Muslim history. In this paper, we studied the Y chromosomes of his
present descendants, and found they all have haplogroup L1a-M76, proving a
southern Persian origin.


title:
Melting of P wave bottomonium states in the quark-gluon plasma from
  lattice NRQCD

abstract:
  We study the fate of P wave bottomonium states in the quark-gluon plasma,
using a spectral function analysis of euclidean lattice correlators. The
correlators are obtained from lattice QCD simulations with two light quark
flavours on highly anisotropic lattices, treating the bottom quark
nonrelativistically. We find clear indications of melting immediately after the
deconfinement transition.


title:
Message-Passing Algorithms for Optimal Utilization of Cognitive Radio
  Networks

abstract:
  Cognitive Radio has been proposed as a key technology to significantly
improve spectrum usage in wireless networks by enabling unlicensed users to
access unused resource. We present new algorithms that are needed for the
implementation of opportunistic scheduling policies that maximize the
throughput utilization of resources by secondary users, under maximum
interference constraints imposed by existing primary users. Our approach is
based on the Belief Propagation (BP) algorithm, which is advantageous due to
its simplicity and potential for distributed implementation. We examine
convergence properties and evaluate the performance of the proposed BP
algorithms via simulations and demonstrate that the results compare favorably
with a benchmark greedy strategy.


title: Parameterized Algorithms for Finding Square Roots

abstract:
  We show that the following two problems are fixed-parameter tractable with
parameter k: testing whether a connected n-vertex graph with m edges has a
square root with at most n-1+k edges and testing whether such a graph has a
square root with at least m-k edges. Our first result implies that squares of
graphs obtained from trees by adding at most k edges can be recognized in
polynomial time for every fixed k>=0; previously this result was known only for
k=0. Our second result is equivalent to stating that deciding whether a graph
can be modified into a square root of itself by at most k edge deletions is
fixed-parameter tractable with parameter k.


title: Hankel Tensors: Associated Hankel Matrices and Vandermonde Decomposition

abstract:
  Hankel tensors arise from applications such as signal processing. In this
paper, we make an initial study on Hankel tensors. For each Hankel tensor, we
associate it with a Hankel matrix and a higher order two-dimensional symmetric
tensor, which we call the associated plane tensor. If the associated Hankel
matrix is positive semi-definite, we call such a Hankel tensor a strong Hankel
tensor. We show that an $m$ order $n$-dimensional tensor is a Hankel tensor if
and only if it has a Vandermonde decomposition. We call a Hankel tensor a
complete Hankel tensor if it has a Vandermonde decomposition with positive
coefficients. We prove that if a Hankel tensor is copositive or an even order
Hankel tensor is positive semi-definite, then the associated plane tensor is
copositive or positive semi-definite, respectively. We show that even order
strong and complete Hankel tensors are positive semi-definite, the Hadamard
product of two strong Hankel tensors is a strong Hankel tensor, and the
Hadamard product of two complete Hankel tensors is a complete Hankel tensor. We
show that all the H-eigenvalue of a complete Hankel tensors (maybe of odd
order) are nonnegative. We give some upper bounds and lower bounds for the
smallest and the largest Z-eigenvalues of a Hankel tensor, respectively.
Further questions on Hankel tensors are raised.


title: A four-dimensional simple algebra with fractional PI-exponent

abstract:
  Numerical characteristics of identities of finite-dimensional nonassociative
algebras are studied. The main result is the construction of a four-dimensional
simple unitary algebra with fractional PI-exponent strictly less than its
dimension.


title:
Interactive Employment Model to Assimilate the Deaf persons in workplace
  by using ICT

abstract:
  The rate of disability is increase day by day all over the world .There are
various type of Disabilities but the deaf persons are on second number among
all types of disabilities.. In most of the countries disabled persons are
supposed to be social liability on their family and in the society as awhile.
Now days in developing countries it is difficult for normal persons to get
suitable jobs. Whenever we are talking about disabled, it is more difficult to
assimilate deaf persons in workplace. Threats of unemployment of disabled
person are almost double that of people without disabilities. Number of able
deaf persons is unable to get suitable job due to several reasons like lack of
facilities for deaf persons and lack of awareness from normal persons side
which create barrier in searching job for deaf persons. This research work
emphasis on the special need and training required for the deaf individual sand
to make and train them how to move in workplace with different social and
technical barrier. In recent era technology play important role in each and
every part of life. Using the facility of Information and communication
Technology we can easily assimilate deaf in workplace. The proposed model helps
deaf persons to adjust in their jobs.


title: Entanglement distribution over 300 km of fiber

abstract:
  We report the distribution of time bin entangled photon pairs over 300 km of
optical fiber. We realized this by using a high speed and high signal to noise
ratio entanglement generation and evaluation setup that consists of
periodically poled lithium niobate waveguides and superconducting single photon
detectors. The observed two-photon interference fringes exhibited a visibility
of 84 %. We confirmed the violation of Bell's inequality by 2.9 standard
deviations.


title: Implementation of Automata Theory to Improve the Learning Disability

abstract:
  There are various types of disability egress in world like blindness,
deafness, and Physical disabilities. It is quite difficult to deal with people
with disability. Learning disability (LD) is types of disability totally
different from general disability. To deal children with learning disability is
difficult for both parents and teacher. As parent deal with only single child
so it bit easy. But teacher deals with different students at a time so its more
difficult to deal with group of students with learning disability. If there is
more students with learning disability so it is necessary that first all
identify the type of learning disability in group of students. Some students
have learning disability of mathematics; some have learning disability of other
subjects. By using theory of Automata it easy to analysis the level of
disability among all students then deal with them accordingly. For these
purpose deterministic automata is the best practice. Teacher deals with
deterministic students in class and check there response. In this research
deterministic automata is use to facilitated the teacher which help teacher in
identification of students with learning disability.


title: GLISSANDO 2: GLauber Initial-State Simulation AND mOre..., ver. 2

abstract:
  We present an extended version of GLISSANDO, a Monte-Carlo generator for
Glauber-like models of the initial stage of relativistic heavy-ion collisions.
The increased functionality of the code incorporates a parametrization of shape
of nuclei, including light nuclei needed in the NA61 experiment, the nuclear
deformation, a possibility of using correlated distributions of nucleons in
nuclei read from external files, an option of overlaying distributions of
produced particles dependent on the space-time rapidity, the inclusion of the
core-corona effect, or the output of the source distributions that can be used
in event-by-event hydrodynamics. Together with other features, such as
incorporation of various variants of Glauber models, or the implementation of a
realistic NN collision profile, the generator offers a realistic and practical
approach to describe the early phase of the collision in 3+1 dimensions; the
predictions may later be used in modeling the intermediate evolution phase,
e.g., with hydrodynamics. The software is integrated with the ROOT platform.
The supplied scripts compute and plot numerous features of the distributions,
such as the multiplicity distributions and centrality classes, harmonic
asymmetry coefficients and their correlations, forward-backward correlations,
etc. The code can also be used for the proton-nucleus and deuteron-nucleus
collisions.


title: Privacy in RFID and mobile objects

abstract:
  Radio Frequency Identification (RFID) is a technology aimed at eficiently
identifying and tracking goods and assets. Such identification may be performed
without requiring line-of-sight alignment or physical contact between the RFID
tag and the RFID reader, whilst tracking is naturally achieved due to the short
interrogation field of RFID readers. That is why the reduction in price of the
RFID tags has been accompanied with an increasing attention paid to this
technology. However, since tags are resource-constrained devices sending
identification data wirelessly, designing secure and private RFID
identification protocols is a challenging task. This scenario is even more
complex when scalability must be met by those protocols.
  Assuming the existence of a lightweight, secure, private and scalable RFID
identification protocol, there exist other concerns surrounding the RFID
technology. Some of them arise from the technology itself, such as distance
checking, but others are related to the potential of RFID systems to gather
huge amount of tracking data. Publishing and mining such moving objects data is
essential to improve efficiency of supervisory control, assets management and
localisation, transportation, etc. However, obvious privacy threats arise if an
individual can be linked with some of those published trajectories. The present
dissertation contributes to the design of algorithms and protocols aimed at
dealing with the issues explained above. First, we propose a set of protocols
and heuristics based on a distributed architecture that improve the efficiency
of the identification process without compromising privacy or security.
Moreover, we present a novel distance-bounding protocol based on graphs that is
extremely low-resource consuming. Finally, we present two trajectory
anonymisation methods aimed at preserving the individuals' privacy when their
trajectories are released.


title:
Probing the origin of cosmic-rays with extremely high energy neutrinos
  using the IceCube Observatory

abstract:
  We have searched for extremely high energy neutrinos using data taken with
the IceCube detector between May 2010 and May 2012. Two neutrino induced
particle shower events with energies around 1 PeV were observed, as reported
previously. In this work, we investigate whether these events could originate
from cosmogenic neutrinos produced in the interactions of ultra-high energy
cosmic-rays with ambient photons while propagating through intergalactic space.
Exploiting IceCube's large exposure for extremely high energy neutrinos and the
lack of observed events above 100 PeV, we can rule out the corresponding models
at more than 90% confidence level. The model independent quasi-differential 90%
CL upper limit, which amounts to $E^2 \phi_{\nu_e + \nu_\mu + \nu_\tau} = 1.2
\times 10^{-7}$ GeV cm$^{-2}$ s$^{-1}$ sr$^{-1}$ at 1 EeV, provides the most
stringent constraint in the energy range from 10 PeV to 10 EeV. Our observation
disfavors strong cosmological evolution of the highest energy cosmic ray
sources such as the Fanaroff-Riley type II class of radio galaxies.


title: Flickers Forecasting In CRT Using Stochastic Analysis

abstract:
  Videos are composed of sequence of interrelated frames. There is a minute
difference among frames. Flicker is an error which is found in every video. It
is like a checker box in a video, there are several reasons behind flickers
generation, one of the main reasons is refresh rate of the monitor and second
reason is number of frames per second in a video. The main objective of this
study is to propose and develop a framework that identifies flicker location
and minimizes the flickers rate. Analysis shows that flickers can be minimize
by adjusting the persistence of pixel and higher refresh rate of CRT monitor.
Further we have compared different isotopes of phosphorous pixels and generate
its graphs. This paper highlighted the cause of flicker and its avoidance
.Statistical research proves that proposed algorithm improves the video quality
and reduce flickers ratio up to 90%.