title:
Broadband telecom transparency of semiconductor-coated metal nanowires:
  more transparent than glass

abstract:
  Metallic nanowires (NW) coated with a high permittivity dielectric are
proposed as means to strongly reduce the light scattering of the conducting NW,
rendering them transparent at infrared wavelengths of interest in
telecommunications. Based on a simple, universal law derived from
electrostatics arguments, we find appropriate parameters to reduce the
scattering efficiency of hybrid metal-dielectric NW by up to three orders of
magnitude as compared with the scattering efficiency of the homogeneous
metallic NW. We show that metal@dielectric structures are much more robust
against fabrication imperfections than analogous dielectric@metal ones. The
bandwidth of the transparent region entirely covers the near IR
telecommunications range. Although this effect is optimum at normal incidence
and for a given polarization, rigorous theoretical and numerical calculations
reveal that transparency is robust against changes in polarization and angle of
incidence, and also holds for relatively dense periodic or random arrangements.
A wealth of applications based on metal-NWs may benefit from such invisibility.


title: Mechanical resistance in unstructured proteins

abstract:
  Single-molecule pulling experiments on unstructured proteins linked to
neurodegenerative diseases have measured rupture forces comparable to those for
stable folded proteins. To investigate the structural mechanisms of this
unexpected force resistance, we perform pulling simulations of the amyloid
{\beta}-peptide (A{\beta}) and {\alpha}-synuclein ({\alpha}S), starting from
simulated conformational ensembles for the free monomers. For both proteins,
the simulations yield a set of rupture events that agree well with the
experimental data. By analyzing the conformations right before rupture in each
event, we find that the mechanically resistant structures share a common
architecture, with similarities to the folds adopted by A{\beta} and {\alpha}S
in amyloid fibrils. The disease-linked Arctic mutation of A{\beta} is found to
increase the occurrence of highly force-resistant structures. Our study
suggests that the high rupture forces observed in A{\beta} and {\alpha}S
pulling experiments are caused by structures that might have a key role in
amyloid formation.


title: Fast Reconstruction of Compact Context-Specific Metabolic Network Models

abstract:
  Systemic approaches to the study of a biological cell or tissue rely
increasingly on the use of context-specific metabolic network models. The
reconstruction of such a model from high-throughput data can routinely involve
large numbers of tests under different conditions and extensive parameter
tuning, which calls for fast algorithms. We present FASTCORE, a generic
algorithm for reconstructing context-specific metabolic network models from
global genome-wide metabolic network models such as Recon X. FASTCORE takes as
input a core set of reactions that are known to be active in the context of
interest (e.g., cell or tissue), and it searches for a flux consistent
subnetwork of the global network that contains all reactions from the core set
and a minimal set of additional reactions. Our key observation is that a
minimal consistent reconstruction can be defined via a set of sparse modes of
the global network, and FASTCORE iteratively computes such a set via a series
of linear programs. Experiments on liver data demonstrate speedups of several
orders of magnitude, and significantly more compact reconstructions, over a
chief rival method. Given its simplicity and its excellent performance,
FASTCORE can form the backbone of many future metabolic network reconstruction
algorithms.


title:
Digenes: genetic algorithms to discover conjectures about directed and
  undirected graphs

abstract:
  We present Digenes, a new discovery system that aims to help researchers in
graph theory. While its main task is to find extremal graphs for a given
(function of) invariants, it also provides some basic support in proof
conception. This has already been proved to be very useful to find new
conjectures since the AutoGraphiX system of Caporossi and Hansen (Discrete
Math. 212-2000). However, unlike existing systems, Digenes can be used both
with directed or undirected graphs. In this paper, we present the principles
and functionality of Digenes, describe the genetic algorithms that have been
designed to achieve them, and give some computational results and open
questions. This do arise some interesting questions regarding genetic
algorithms design particular to this field, such as crossover definition.


title: Lipschitz conditions and the distance ratio metric

abstract:
  We give study the Lipschitz continuity of M\"obius transformations of a
punctured disk onto another punctured disk with respect to the distance ratio
metric.


title: Generalized One-Particle Density Matrices and Quasifree States

abstract:
  In the spirit of the generalized one-particle density matrix for fermions, we
introduce generalized one- and two-particle density matrices to state
representability conditions up to second order for boson systems without
assuming particle number-conservation. Furthermore, we show for both particle
species that, for a semibounded Hamiltonian, the in?mum of the variation of the
energy functional w.r.t quasifree states coincides with the one of a variation
over pure quasifree states. Moreover, it is proven for fermions that only pure
quasifree states have a generalized 1-pdm that is a projection, and a similar
statement for bosons.


title:
A View of Supernova Remnant CTB 37A with the Fermi Gamma-ray Space
  Telescope

abstract:
  Supernovae and their remnants have long been favored as cosmic ray ac-
celerators. Recent data from the Fermi Gamma-ray Space Telescope has given us
an improved window into such sources, including the remnant CTB 37A. Using the
Fermi Large Area Telescope, we found significant gamma-ray emission coincident
with the remnant, which also emits in radio, X-ray, and very high energy
gamma-rays. We modeled the multiwavelength spectrum using a combination of
hadronic and leptonic emission with reasonable parameter values and determined
that CTB 37A is a potential cosmic ray accelerator commensurate with direct
observations. By assembling statistically significant populations of such
objects, we will be able to more fully illuminate the mystery of cosmic ray
origins.


title: Analysis of Odd/odd vertex removal games on special graphs

abstract:
  We analyze the Odd/odd vertex removal game introduced by P. Ottaway. We prove
that every bipartite graph has Grundy value 0 or 1 only depending on the parity
of the number of edges in the graph, which is a generalization of a conjecture
of K. Shelton. We also answer a question originally posed by both Shelton and
Ottaway about the existance of graphs for every Grundy value. We prove that
this is indeed the case.


title:
A Novel Cluster Validation Approach on Pso-Pac Mechanism in Ad Hoc
  Network

abstract:
  The ad hoc network places a vital role in contemporary days communication
scenario. This network performance gets up while the clustering phenomenon has
been incorporated. The cluster formation using the vital parameters is
incredible on deciding the efficiency level of the clustered ad hoc networks.
The PSO-PAC mechanism forms clusters based on swarm intelligence by considering
energy as crucial parameter. This optimized cluster helps to suits the
applications where the energy parameter plays a key role. The clusters formed
by this mechanism may not ascertain the compactness of the clusters. Thus, this
paper proposes D-PAC as an index based validation mechanism to be handled on
clusters formed using PSO-PAC. The cluster formation and validation mechanism
have been implemented using OMNET++ simulator.


title: Partially ordered sets in Macaulay2

abstract:
  We introduce the package Posets for Macaulay2. This package provides a data
structure and the necessary methods for working with partially ordered sets,
also called posets. In particular, the package implements methods to enumerate
many commonly studied classes of posets, perform operations on posets, and
calculate various invariants associated to posets.


title: A Biochemical Logic Approach to Biomarker-Activated Drug Release

abstract:
  The present study aims at integrating drug-releasing materials with
signal-processing biocomputing systems. Enzymes alanine transaminase (ALT) and
aspartate transaminase (AST)---biomarkers for liver injury---were logically
processed by a biocatalytic cascade realizing Boolean AND gate. Citrate
produced in the system was used to trigger a drug-mimicking release from
alginate microspheres. In order to differentiate low vs. high concentration
signals, the microspheres were coated with a protective shell composed of
layer-by-layer adsorbed poly(L-lysine) and alginate. The alginate core of the
microspheres was prepared from (Fe3+)-cross-linked alginate loaded with
rhodamine 6G dye mimicking a drug. Dye release from the core occurred only when
both biomarkers, ALT and AST, appeared at their high pathophysiological
concentrations jointly indicative of liver injury. The signal-triggered
response was studied at the level of a single microsphere, yielding information
on the dye release kinetics.


title: The spiral structure of our Milky Way

abstract:
  The spiral structure of our Milky Way has not yet been well outlined. HII
regions, giant molecular clouds (GMCs) and 6.7-GHz methanol masers are primary
tracers for spiral arms. We collect and update the database of these tracers
which has been used in Hou, Han & Shi (2009) for mapping the spiral structure.


title: Switching and amplification in disordered lasing resonators

abstract:
  Controlling the flow of energy in a random medium is a research frontier with
a wide range of applications. As recently demonstrated, the effect of disorder
on the transmission of optical beams, may be partially compensated by wavefront
shaping, but losing control over individual light paths. Here we report on a
novel physical effect whereby energy is spatially and spectrally transferred
inside a disordered active medium by the coupling between individual lasing
modes. We show that is possible to transmit an optical resonance to a remote
point by employing specific control over optical excitations. The observed
nonlinear transport bears some analogies to a field-effect transistor for
light, which acts as a switch and as an amplifier.


title: Companions to nearby stars with astrometric acceleration. II

abstract:
  Hipparcos astrometric binaries were observed with the NICI adaptive optics
system at Gemini-S, completing the work of Paper I (Tokovinin et al. 2012).
Among the 65 F, G, K dwarfs within 67pc of the Sun studied here, we resolve 18
new sub-arcsecond companions, re-measure 7 known astrometric pairs, and
establish the physical nature of yet another three wider companions. The 107
astrometric binaries targeted at Gemini so far have 38 resolved companions with
separations under 3". Modeling shows that bright enough companions with
separations on the order of an arcsecond can perturb the Hipparcos astrometry
when they are not accounted for in the data reduction. However, the resulting
bias of parallax and proper motion is generally below formal errors and such
companions cannot produce fake acceleration. This work contributes to the
multiplicity statistics of nearby dwarfs by bridging the gap between
spectroscopic and visual binaries and by providing estimates of periods and
mass ratios for many astrometric binaries.


title:
Stabilizing perturbative Yang-Mills thermodynamics with Gribov
  quantization

abstract:
  We evaluate the thermodynamic quantities of Yang-Mills theory using the
Gribov quantization, which deals with nonperturbative resummation. The magnetic
scale is automatically incorporated into the framework and we find it efficient
to stabilize the perturbative expansion of the free energy. In the temperature
range $T=T_c \sim 2\,T_c$ the major uncertainty in our results comes from the
nonperturbative running coupling that is adopted from the lattice simulation,
while the convergence above $2\,T_c$ is impressively robust. We also present
the corresponding interaction measure (i.e., trace anomaly) up to close to
$T_c$.


title: Examples of Mori dream spaces with Picard number two

abstract:
  In this note, we give a sufficient condition such that a projective variety
with Picard number two is a Mori dream space. Using this condition, we obtain
examples of Mori dream spaces with Picard number two.


title: Object Oriented Model for Evaluation of On-Chip Networks

abstract:
  The Network on Chip (NoC) paradigm is rapidly replacing bus based System on
Chip (SoC) designs due to their inherent disadvantages such as non-scalability,
saturation and congestion. Currently very few tools are available for the
simulation and evaluation of on-chip architectures. This study proposes a
generic object oriented model for performance evaluation of on-chip
interconnect architectures and algorithms. The generic nature of the proposed
model can help the researchers in evaluation of any kind of on-chip switching
networks. The model was applied on 2D-Mesh and 2D-Diagonal-Mesh on-chip
switching networks for verification and selection of best out of both the
analyzed architectures. The results show the superiority of 2D-Diagonal-Mesh
over 2D-Mesh in terms of average packet delay.


title:
Comment on "Quantized Orbital Angular Momentum Transfer and Magnetic
  Dichroism in the Interaction of Electron Vortices with Matter"

abstract:
  It was claimed (Lloyd et al., PRL 108 (2012) 074802) that energy loss
magnetic chiral dichroism (EMCD) with electron vortex beams is feasible, and
has even advantages over the standard setup with Bragg diffracted waves. In
this Comment, we show that Lloyd et al. ignored an important constraint on the
proposed selection rule for the transfer of angular momentum in the
interaction, namely that it is only valid for an atom located in the very
center of the vortex. As an experimental consequence, the EMCD signal will only
be strong for extremely small nanoparticles of 1 to 2 nm diameter.


title:
Energy landscapes, structural topologies and rearrangement mechanisms in
  clusters of dipolar particles

abstract:
  Clusters of spherical particles with isotropic attraction favour compact
structures that maximise the number of energetically optimal nearest-neighbour
interactions. In contrast, dipolar interactions lead to the formation of chains
with a low coordination number. When both isotropic and dipolar interactions
are present, the competition between them can lead to intricate knot, link and
coil structures. Here, we investigate how these structures may self-organise
and interconvert in clusters bound by the Stockmayer potential (Lennard-Jones
plus point dipole). We map out the low-lying region of the energy landscape
using disconnectivity graphs to follow how it evolves as the strength of the
dipolar interactions increases. From comprehensive surveys of isomerisation
pathways, we identify a number of rearrangement mechanisms that allow the
topology of chain-like structures to interconvert.


title:
Dynamics of ion-phosphate lattice of DNA in left-handed double helix
  form

abstract:
  The conformational vibrations of Z-DNA with counterions are studied in
framework of phenomenological model developed. The structure of left-handed
double helix with counterions neutralizing the negatively charged phosphate
groups of DNA is considered as the ion-phosphate lattice. The frequencies and
Raman intensities for the modes of Z-DNA with Na+ and Mg2+ ions are calculated,
and the low-frequency Raman spectra are built. At the spectra range about the
frequency 150 cm-1 new mode of ion-phosphate vibrations is found, which
characterizes the vibrations of Mg2+ counterions. The results of our
calculations show that the intensities of Z-DNA modes are sensitive to the
concentration of magnesium counterions. The obtained results describe well the
experimental Raman spectra of Z-DNA.


title: Vortex Bubble Formation in Pair Plasmas

abstract:
  It is shown that delocalized vortex solitons in relativistic pair plasmas
with small temperature asymmetries can be unstable for intermediate intensities
of the background electromagnetic field. Instability leads to the generation of
ever-expanding cavitating bubbles in which the electromagnetic fields are zero.
The existence of such electromagnetic bubbles is demonstrated by qualitative
arguments based on a hydrodynamic analogy, and by numerical solutions of the
appropriate Nonlinear Schr\"odinger equation with a saturating nonlinearity.


title: Elliptic curves of unbounded rank and Chebyshev's bias

abstract:
  We establish a conditional equivalence between quantitative unboundedness of
the analytic rank of elliptic curves over $\mathbb Q$ and the existence of
highly biased elliptic curve prime number races. We show that conditionally on
a Riemann Hypothesis and on a hypothesis on the multiplicity of the zeros of
$L(E,s)$, large analytic ranks translate into an extreme Chebyshev bias.
Conversely, we show under a certain linear independence hypothesis on zeros of
$L(E,s)$ that if highly biased elliptic curve prime number races do exist, then
the Riemann Hypothesis holds for infinitely many elliptic curve $L$-functions
and there exist elliptic curves of arbitrarily large rank.


title:
Changes in quasi-periodic variations of solar photospheric fields:
  precursor to the deep solar minimum in the cycle 23?

abstract:
  Using both wavelet and Fourier analysis, a study has been undertaken of the
changes in the quasi-periodic variations in solar photospheric fields in the
build-up to one of the deepest solar minima experienced in the past 100 years.
This unusual and deep solar minimum occurred between solar cycles 23 and 24.
The study, carried out using ground based synoptic magnetograms spanning the
period 1975.14 to 2009.86, covered solar cycles 21, 22 and 23. A hemispheric
asymmetry in periodicities of the photospheric fields was seen only at
latitudes above $\pm45{^{\circ}}$ when the data was divided, based on a wavelet
analysis, into two parts: one prior to 1996 and the other after 1996.
Furthermore, the hemispheric asymmetry was observed to be confined to the
latitude range 45${^{\circ}}$ to 60${^{\circ}}$. This can be attributed to the
variations in polar surges that primarily depend on both the emergence of
surface magnetic flux and varying solar surface flows. The observed asymmetry
when coupled with the fact that both solar fields above $\pm45{^{\circ}}$ and
micro-turbulence levels in the inner-heliosphere have been decreasing since the
early to mid nineties (Janardhan et al., 2011) suggests that around this time
active changes occurred in the solar dynamo that governs the underlying basic
processes in the sun. These changes in turn probably initiated the build-up to
the very deep solar minimum at the end of the cycle 23. The decline in fields
above $\pm45{^{\circ}}$ for well over a solar cycle, would imply that weak
polar fields have been generated in the past two successive solar cycles
\textit{viz.} cycles 22 and 23. A continuation of this declining trend beyond
22 years, if it occurs, will have serious implications on our current
understanding of the solar dynamo.


title: Exploration of Speech enabled System for English

abstract:
  This paper presents exploration of speech enable operating systems, software,
and applications. It begins with a description of how such systems work, and
the level of accuracy that can be expected. It explains the applications of
speech recognition technology in different areas education, medical, mobile
computing, railway reservation, dictation, and web browsing. A brief comparison
of the operating systems supported for voice, speech recognition software or
tool. It gives the brief introduction about the potential of voice/speech
recognition software. It explains the feature of different speech enable
Operating system and speech recognition software. Windows speech recognition
have many innovative features for Windows operating system and efficiently
assist the computer to control, dictate, navigate, selecting the words, sending
emails and correcting the words or sentences. It also explains the benefits and
issue related to speech technology. In last era speech recognition technology
grew tremendously. There are large number of companies who are working in these
area and developing software for the people who are not able to control the
system through keyboard or mouse such as physically impaired and senior
citizens. This paper gives a brief introduction of speech enabled OS and speech
recognition software.


title: On the expected time a branching process has K individuals alive

abstract:
  Consider a homogeneous time-continuous branching process where individuals
have constant birth rate $\delta$, and life length distribution $Q$ having mean
$E(Q)=1$. Let $X(u)$ denote the number of individuals alive at time $u$, and
assume that $X(0)=1$. Let $K$ be a positive integer and define
$A_K:=\int_0^\infty 1_{\{X(u)=K\}}du$, the accumulated time that the branching
process has exactly $K$ individuals alive. In this paper we prove that
$E(A_K)=\delta^{K-1}/\left(k(1\vee\delta)^K\right)$, irrespective of the life
length distribution $Q$, subject to the normalizing condition $E(Q)=1$.


title:
Imaginary-time nonuniform mesh method for solving the multidimensional
  Schrodinger equation: Fermionization and melting of quantum Lennard-Jones
  crystals

abstract:
  An imaginary-time nonuniform mesh method is presented and used to find the
first 50 eigenstates and energies of up to five strongly interacting spinless
quantum Lennard-Jones particles trapped in a one-dimensional harmonic
potential. We show that the use of tailored grids reduces drastically the
computational effort needed to diagonalize the Hamiltonian and results in a
favorable scaling with dimensionality. Solutions to both bosonic and fermionic
counterparts of this strongly interacting system are obtained, the bosonic case
clustering as a Tonks-Girardeau crystal exhibiting the phenomenon of
fermionization. The numerically exact excited states are used to describe the
melting of this crystal at finite temperature.


title: On Semantic Word Cloud Representation

abstract:
  We study the problem of computing semantic-preserving word clouds in which
semantically related words are close to each other. While several heuristic
approaches have been described in the literature, we formalize the underlying
geometric algorithm problem: Word Rectangle Adjacency Contact (WRAC). In this
model each word is associated with rectangle with fixed dimensions, and the
goal is to represent semantically related words by ensuring that the two
corresponding rectangles touch. We design and analyze efficient polynomial-time
algorithms for some variants of the WRAC problem, show that several general
variants are NP-hard, and describe a number of approximation algorithms.
Finally, we experimentally demonstrate that our theoretically-sound algorithms
outperform the early heuristics.


title: Relativistic pendulum and invariant curves

abstract:
  We apply KAM theory to the equation of the forced relativistic pendulum to
prove that all the solutions have bounded momentum. Subsequently, we detect the
existence of quasiperiodic solutions in a generalized sense. This is achieved
using a modified version of the Aubry-Mather theory for compositions of twist
maps.


title: The Blazar Emission Environment: Insight from Soft X-ray Absorption

abstract:
  Collecting experimental insight into the relativistic particle populations
and emission mechanisms at work within TeV-emitting blazar jets, which are
spatially unresolvable in most bands and have strong beaming factors, is a
daunting task. New observational information has the potential to lead to major
strides in understanding the acceleration site parameters. Detection of
molecular carbon monoxide (CO) in TeV emitting blazars, however, implies the
existence of intrinsic gas, a connection often found in photo-dissociated
region models and numerical simulations. The existence of intrinsic gas within
a blazar could provide a target photon field for Compton up-scattering of
photons to TeV energies by relativistic particles. We investigate the possible
existence of intrinsic gas within the three TeV emitting blazars RGB J0710+591,
W Comae and 1ES 1959+650 which have measurements or upper limits on molecular
CO line luminosity using an independent technique which is based on the
spectral analysis of soft X-rays. Evidence for X-ray absorption by additional
gas beyond that measured within the Milky Way is searched for in Swift X-ray
Telescope (XRT) data between 0.3 and 10 keV. Without complementary information
from another measurement, additional absorption could be misinterpreted as an
intrinsically curved X-ray spectrum since both models can frequently fit the
soft X-ray data. After breaking this degeneracy, we do not find evidence for
intrinsically curved spectra for any of the three blazars. Moreover, no
evidence for intrinsic gas is evident for RGB J0710+591 and W Comae, while the
1ES 1959+650 XRT data support the existence of intrinsic gas with a column
density of $\sim1\times10^{21}$cm$^{-2}$.


title: Recursive Estimation of Orientation Based on the Bingham Distribution

abstract:
  Directional estimation is a common problem in many tracking applications.
Traditional filters such as the Kalman filter perform poorly because they fail
to take the periodic nature of the problem into account. We present a recursive
filter for directional data based on the Bingham distribution in two
dimensions. The proposed filter can be applied to circular filtering problems
with 180 degree symmetry, i.e., rotations by 180 degrees cannot be
distinguished. It is easily implemented using standard numerical techniques and
suitable for real-time applications. The presented approach is extensible to
quaternions, which allow tracking arbitrary three-dimensional orientations. We
evaluate our filter in a challenging scenario and compare it to a traditional
Kalman filtering approach.


title: Semi-Supervised Information-Maximization Clustering

abstract:
  Semi-supervised clustering aims to introduce prior knowledge in the decision
process of a clustering algorithm. In this paper, we propose a novel
semi-supervised clustering algorithm based on the information-maximization
principle. The proposed method is an extension of a previous unsupervised
information-maximization clustering algorithm based on squared-loss mutual
information to effectively incorporate must-links and cannot-links. The
proposed method is computationally efficient because the clustering solution
can be obtained analytically via eigendecomposition. Furthermore, the proposed
method allows systematic optimization of tuning parameters such as the kernel
width, given the degree of belief in the must-links and cannot-links. The
usefulness of the proposed method is demonstrated through experiments.


title:
Precise determination of the effective-range parameters up to an
  arbitrary order

abstract:
  We propose a method to compute, for a given potential model, an arbitrary
coefficient of the effective-range function expanded as a power series in
energy. The method is based on a set of recurrence relations at low energy,
that allows a compact and general description to any order in energy for
neutral and charged cases. By using the Lagrange mesh technique to compute the
R-matrix at zero energy, this proposal permits to compute, with a very good
precision, the effective-range parameters. We use a potential model for some
nuclear systems to illustrate the effectiveness of this method and to discuss
its numerical limitations.


title: BFKL Pomeron: modeling confinement

abstract:
  In this paper we introduce the confinement into the kernel of the BFKL
equation,assuming that the sizes of produced dipoles cannot be large. The goal
of this paper is to find how this assumption, which leads to a correct
exponential decrease of the amplitude at large impact parameters, affects the
main properties of the BFKL Pomeron. We solve the equations for total cross
section and $\ <| b^2 |\ >$ numerically and developed some methods of
analytical solutions. The main result is that the modified BFKL Pomeron has the
same intercept and $\alpha'_\pom = 0$ as the BFKL Pomeron.It gives us a hope
that the unknown confinement will change only slightly the equations of the
CGC/saturation approach


title:
Direct Probe of Majorana and Extended Higgs Particles in Radiative
  Seesaw Models at the ILC

abstract:
  A collider probe of the radiative seesaw models are considered. Two key
ingredients of these models, the extended Higgs sector and the source of the
Majorana mass, although these details differ model by model, would be studied
at the TeV-scale electron-positron and electron-electron colliders. The
searches and mass determinations in the inert doublet model, which is the
extended Higgs sector of the Ma model, are summarized as an example.


title:
Pair breaking and Coulomb effects in cold fission from thermal neutron
  induced fission of U 233, U 235 and Pu 239

abstract:
  In this paper, the distribution of mass and kinetic energy in the cold region
of the thermal neutron induced fission of U 233, U 235 and Pu 239,
respectively, is interpreted in terms of nucleon pair-breaking and the Coulomb
interaction energy between complementary fragments (Coulomb effect). In order
to avoid the erosive consequences of neutron emission, one studies the cold
fission regions, corresponding to total kinetic energy (TE) close to the
maximum available energy of the reaction (Q). Contrary to expected, in cold
fission is not observed high odd-even effect in mass number distribution.
Nevertheless, the measured values are compatible with higher odd-even effects
on proton or neutron number distribution, respectively. In addition, in cold
fission, the minimal total excitation energy (X) is correlated with the Coulomb
energy excess, which is defined as the difference between C (the electrostatic
interaction energy between complementary fragments taken as spherical in
scission configuration) and Q. These Coulomb effects increase with the
asymmetry of the charge fragmentations. In sum, the experimental data on cold
fission suggest that scission configurations explore all the possibilities
permitted by the available energy for fission.


title:
Global well-posedness and scattering for the defocusing, mass - critical
  generalized KdV equation

abstract:
  In this paper we prove that the defocusing, mass - critical generalized KdV
initial value problem is globally well-posed and scattering for $u_{0} \in
L^{2}(\mathbf{R})$. We prove this via a concentration compactness argument.


title: Survivable Paths in Multilayer Networks

abstract:
  We consider protection problems in multilayer networks. In single-layer
networks, a pair of disjoint paths can be used to provide protection for a
source-destination pair. However, this approach cannot be directly applied to
layered networks where disjoint paths may not always exist. In this paper, we
take a new approach which is based on finding a set of paths that may not be
disjoint but together will survive any single physical link failure. First, we
consider the problem of finding the minimum number of survivable paths. In
particular, we focus on two versions of this problem: one where the length of a
path is restricted, and the other where the number of paths sharing a fiber is
restricted. We prove that in general, finding the minimum survivable path set
is NP-hard, whereas both of the restricted versions of the problem can be
solved in polynomial time. We formulate the problem as Integer Linear Programs
(ILPs), and use these formulations to develop heuristics and approximation
algorithms. Next, we consider the problem of finding a set of survivable paths
that uses the minimum number of fibers. We show that this problem is NP-hard in
general, and develop heuristics and approximation algorithms with provable
approximation bounds. Finally, we present simulation results comparing the
different algorithms.


title: The WIMP-induced Gamma Ray Spectrum of Active Galactic Nuclei

abstract:
  As direct and indirect dark matter detection experiments continue to place
stringent constraints on WIMP masses and couplings, it becomes imperative to
expand the scope of the search for particle dark matter by looking in new and
exotic places. One such place may be the core of active galactic nuclei where
the density of dark matter is expected to be extremely high. Recently, several
groups have explored the possibility of observing signals of dark matter from
its interactions with the high-energy jets emanating from these galaxies. In
this work, we build upon these analyses by including the other components of
the WIMP-induced gamma ray spectrum of active galactic nuclei; namely, (1) the
continuum from WIMP annihilation into light standard model states which
subsequently radiate and/or decay into photons and (2) the direct
(loop-induced) decay into photons. We work in the context of models of
universal extra dimensions (in particular, a model with two extra dimensions)
and compute all three components of the gamma ray spectrum and compare with
current data. We find that the model with two extra dimensions exhibits several
interesting features which may be observable with the Fermi gamma ray
telescope. We also show that, in conjunction with other measurements, the gamma
ray spectrum from AGN can be an invaluable tool for restricting WIMP parameter
space.


title:
IEEE 802.15.4 transceiver for the 868/915 MHz band using Software
  Defined Radio

abstract:
  This paper reports an implementation of the PHY specifications of the IEEE
802.15.4 standard for the frequency band 868 915 MHz on a Software Defined
Radio (SDR) platform. This standard is defined for low power, low data rate and
low cost wireless networks. These specifications are used by the Zigbee
technology for various applications such as home automation, industry
monitoring or medical surveillance. Several hardware PHY 868/915 MHz band IEEE
802.15.4 transceiver implementations have been already reported on ASIC and FPG
[1] [2]. SDR offers one possibility to realize a transceiver with high
flexibility and reconfigurability [3]. The whole transmitter and receiver chain
has been defined in software using the GNU Radio software project [4] and the
USRP (Universal Software Radio Peripheral) platform from Ettus Research [5].
Two new blocks have been added to the GNU Radio project, one for the Direct
Sequence Spread Spectrum and the second for the reconstruction of the packets.
The experimentations have been performed in a noisy environment and the PER,
BER and SNR have been computed. The obtained results are coherent with what can
be expected from the theory.


title: Cooperative Synchronization in Wireless Networks

abstract:
  Synchronization is a key functionality in wireless network, enabling a wide
variety of services. We consider a Bayesian inference framework whereby network
nodes can achieve phase and skew synchronization in a fully distributed way. In
particular, under the assumption of Gaussian measurement noise, we derive two
message passing methods (belief propagation and mean field), analyze their
convergence behavior, and perform a qualitative and quantitative comparison
with a number of competing algorithms. We also show that both methods can be
applied in networks with and without master nodes. Our performance results are
complemented by, and compared with, the relevant Bayesian Cram\'er-Rao bounds.


title: Josephson current through a quantum dot coupled to a molecular magnet

abstract:
  Josephson currents are carried by sharp Andreev states within the
superconducting energy gap. We theoretically study the electronic transport of
a magnetically tunable nanoscale junction consisting of a quantum dot connected
to two superconducting leads and coupled to the spin of a molecular magnet. The
exchange interaction between the molecular magnet and the quantum dot modifies
the Andreev states due to a spin-dependent renormalization of the quantum dot's
energy level and the induction of spin-flips. A magnetic field applied to the
central region of the quantum dot and the molecular magnet further tunes the
Josephson current and starts a precession of the molecular magnet's spin. We
use a non-equilibrium Green's function approach to evaluate the transport
properties of the junction. Our calculations reveal that the energy level of
the dot, the magnetic field and the exchange interaction between the molecular
magnet and the electrons occupying the energy level of the quantum dot can
trigger transitions from a 0 to a $\pi$ state of the Josephson junction. The
redistribution of the occupied states induced by the magnetic field strongly
modifies the current-phase relation. The critical current exhibits a sharp
increase as a function of either the energy level of the dot, the magnetic
field or the exchange interaction.


title: Wall-crossing, Toric divisor and Seiberg duality

abstract:
  We study the wall-crossing phenomena of BPS D4-D2-D0 states on the conifold
and orbifold C^2/Z_2, from the viewpoint of the quiver quantum mechanics on the
D-branes. The Kahler moduli dependence of the BPS index is translated into the
FI parameter dependence of the Witten index. The wall-crossing phenomena are
related to the Seiberg dualities of the quiver quantum mechanics. All the
differences from the D6-D2-D0 case arise from the additional superpotential and
"anti-quark" induced by the D4-brane. When the D-branes are on the conifold,
the flop transition changes the duality cascade. When the D-branes are on the
orbifold C^2/Z_2, the generating function of the Witten index is always given
by a character of the affine SU(2) algebra. Both are consistent with the
wall-crossing formula for BPS indices.


title:
H\"older regularity of the gradient for solutions of fully nonlinear
  equations with sublinear first order terms

abstract:
  In this paper we shall establish some regularity results of solutions of a
class of fully nonlinear equations, with a first order term which is
sub-linear. We prove local H\"older regularity of the gradient both in the
interior and up to the boundary.


title: The freeness of ideal subarrangements of Weyl arrangements

abstract:
  A Weyl arrangement is the arrangement defined by the root system of a finite
Weyl group. When a set of positive roots is an ideal in the root poset, we call
the corresponding arrangement an ideal subarrangement. Our main theorem asserts
that any ideal subarrangement is a free arrangement and that its exponents are
given by the dual partition of the height distribution, which was conjectured
by Sommers-Tymoczko. In particular, when an ideal subarrangement is equal to
the entire Weyl arrangement, our main theorem yields the celebrated formula by
Shapiro, Steinberg, Kostant, and Macdonald. Our proof of the main theorem
heavily depends on the theory of free arrangements and thus greatly differs
from the earlier proofs of the formula.


title: A Syntactic-Semantic Approach to Incremental Verification

abstract:
  Software verification of evolving systems is challenging mainstream
methodologies and tools. Formal verification techniques often conflict with the
time constraints imposed by change management practices for evolving systems.
Since changes in these systems are often local to restricted parts, an
incremental verification approach could be beneficial.
  This paper introduces SiDECAR, a general framework for the definition of
verification procedures, which are made incremental by the framework itself.
Verification procedures are driven by the syntactic structure (defined by a
grammar) of the system and encoded as semantic attributes associated with the
grammar. Incrementality is achieved by coupling the evaluation of semantic
attributes with an incremental parsing technique.
  We show the application of SiDECAR to the definition of two verification
procedures: probabilistic verification of reliability requirements and
verification of safety properties.


title: Construction of local structure maps for cellular automata

abstract:
  The paper formalizes and extends the idea of local structure approximation
for cellular automata originally proposed by Gutowitz et. al. We start with a
review of the construction of a probability measure on the set of bi-infinite
strings over a finite alphabet of $N$ symbols. We then demonstrate that for a
shift-invariant probability measure, probabilities of all blocks of length up
to $k$ can be expressed by $(N-1)N^{k-1}$ linearly independent block
probabilities. Two choices of these independent blocks are discussed in detail,
one in which we choose the longest possible blocks ("long form") and one in
which we choose the shortest possible blocks ("short form"). We then proceed to
review the method which allows to approximate probabilities of blocks longer
than $k$ by blocks of length $k$ or less. This approximation, known as Bayesian
extension or Markov measure, is then used to construct approximate orbits of
shift-invariant probability measures under the action of probabilistic or
deterministic cellular automaton. We show that the aforementioned approximate
orbit is completely determined by an $(N-1)N^{k-1}$-dimensional map. When the
short form of block probabilities is used, this map takes particularly simple
form, often revealing important features of a particular cellular automaton.


title: n-digit Benford distributed random variables

abstract:
  The scope of this paper is twofold. First, to emphasize the use of the mod 1
map in exploring the digit distribution of random variables. We show that the
well-known base- and scale-invariance of Benford variables are consequences of
their associated mod 1 density functions being uniformly distributed. Second,
to introduce a new concept of the $n$-digit Benford variable. Such a variable
is Benford in the first $n$ digits, but it is not guaranteed to have a
logarithmic distribution beyond the $n$-th digit. We conclude the paper by
giving a general construction method for $n$-digit Benford variables, and
provide a concrete example.


title: When the Higgs meets the Top: Search for t --> ch^0 at the LHC

abstract:
  The newly discovered "Higgs" boson h^0, being lighter than the top quark t,
opens up new probes for flavor and mass generation. In the general two Higgs
doublet model, new ct, cc and tt Yukawa couplings could modify h^0 properties.
If t --> ch^0 occurs at the percent level, the observed ZZ^* and \gamma\gamma
signal events may have accompanying cbW activity coming from t\bar{t} feeddown.
We suggest that t --> ch^0 can be searched for via h^0 --> ZZ^*, \gamma\gamma,
WW^* and b\bar{b}, perhaps even \tau^+\tau^- modes in t\bar{t} events. Existing
data might be able to reveal some clues for t --> ch^0 signature, or push the
branching ratio B(t --> ch^0) down to below the percent level.


title:
Assessment of long-range correlation in animal behaviour time series:
  the temporal pattern of locomotor activity of Japanese quail (Coturnix
  coturnix) and mosquito larva (Culex quinquefasciatus)

abstract:
  The aim of this study was to evaluate the performance of a classical method
of fractal analysis, Detrended Fluctuation Analysis (DFA), in the analysis of
the dynamics of animal behavior time series. In order to correctly use DFA to
assess the presence of long-range correlation, previous authors using
statistical model systems have stated that different aspects should be taken
into account such as: 1) the establishment by hypothesis testing of the absence
of short term correlation, 2) an accurate estimation of a straight line in the
log-log plot of the fluctuation function, 3) the elimination of artificial
crossovers in the fluctuation function, and 4) the length of the time series.
Taking into consideration these factors, herein we evaluated the presence of
long-range correlation in the temporal pattern of locomotor activity of
Japanese quail ({\sl Coturnix coturnix}) and mosquito larva ({\sl Culex
quinquefasciatus}). In our study, modeling the data with the general ARFIMA
model, we rejected the hypothesis of short range correlations (d=0) in all
cases. We also observed that DFA was able to distinguish between the artificial
crossover observed in the temporal pattern of locomotion of Japanese quail, and
the crossovers in the correlation behavior observed in mosquito larvae
locomotion. Although the test duration can slightly influence the parameter
estimation, no qualitative differences were observed between different test
durations.


title: Improved El Ni\~no-Forecasting by Cooperativity Detection

abstract:
  Although anomalous episodical warming of the eastern equatorial Pacific,
dubbed El Ni\~no by Peruvian fishermen, has major (and occasionally
devastating) impacts around the globe, robust forecasting is still limited to
about six months ahead. A significant extension of the pre-warming time would
be instrumental for avoiding some of the worst damages such as harvest failures
in developing countries. Here we introduce a novel avenue towards El
Ni\~no-prediction based on network methods inspecting emerging teleconnections.
Our approach starts from the evidence that a large-scale cooperative mode -
linking the El Ni\~no-basin (equatorial Pacific corridor) and the rest of the
ocean - builds up in the calendar year before the warming event. On this basis,
we can develop an efficient 12 months-forecasting scheme, i.e., achieve some
doubling of the early-warning period. Our method is based on high-quality
observational data as available since 1950 and yields hit rates above 0.5,
while false-alarm rates are below 0.1.


title:
Raman spectroscopy of graphene at high pressure: substrate and pressure
  transmitting media effects

abstract:
  The pressure evolution of the Raman spectrum of graphene grown by chemical
vapour deposition on polycrystalline copper is investigated with the use of a
polar and a non-polar pressure transmitting medium (PTM). The G and 2D Raman
bands exhibit similar pressure slopes for both PTM irrespectively of any
unintentional initial doping and/or strain of the samples. Our analysis
suggests that any pressure-induced charge transfer effects are negligibly small
to influence the pressure response of graphene. This is determined by the
mechanical stress due to the pressure-induced substrate contraction and the
transfer efficiency of the latter to the graphene layer, as well as the
PTM-graphene interaction. For the non-polar PTM, a peculiar pressure behavior
of graphene is observed in the PTM solidification regime, resembling that of
free standing graphene.


title: Supersymmetric hybrid inflation with a light scalar

abstract:
  Light scalar fields present during inflation can lead to interesting
observable signatures, especially in models with non-equilibrium reheating
dynamics. We study a supersymmetric hybrid inflation model with a third scalar
whose lightness is protected by symmetry, using analytical and numerical
techniques, and demonstrate that the amplitude, the spectral index and the
non-Gaussianity parameter fNL of the primordial curvature perturbation are
within the Planck observational bounds for suitable parameter values.


title:
A Dynamical Systems Approach to a Bianchi Type I Viscous
  Magnetohydrodynamic Model

abstract:
  We use the expansion-normalized variables approach to study the dynamics of a
non-tilted Bianchi Type I cosmological model with both a homogeneous magnetic
field and a viscous fluid. In our model the perfect magnetohydrodynamic
approximation is made, and both bulk and shear viscous effects are retained.
The dynamical system is studied in detail through a fixed-point analysis which
determines the local sink and source behavior of the system. We show that the
fixed points may be associated with Kasner-type solutions, a flat universe FLRW
solution, and interestingly, a new solution to the Einstein Field equations
involving non-zero magnetic fields, and non-zero viscous coefficients. It is
further shown that for certain values of the bulk and shear viscosity and
equation of state parameters, the model isotropizes at late times.


title: Berezin transforms on noncommutative polydomains

abstract:
  This paper is an attempt to unify the multivariable operator model theory for
ball-like domains and commutative polydiscs, and extend it to a more general
class of noncommutative polydomains. An important role in our study is played
by noncommutative Berezin transforms associated with the elements of the
polydomain.


title: Correlation effects in insulating surface nanostructures

abstract:
  We study the role of static and dynamical Coulomb correlation effects on the
electronic and magnetic properties of individual Mn, Fe and Co adatoms
deposited on the CuN surface. For these purposes, we construct a realistic
Anderson model, solve it by using finite-temperature exact diagonalization
method and compare the calculated one-particle spectral functions with the
LDA+$U$ densities of states. In contrast to Mn/CuN and Fe/CuN, the cobalt
system tends to form the electronic excitations at the Fermi level. Based on
the calculated magnetic response functions, the relative relaxation times for
the magnetic moments of impurity orbitals are estimated. To study the effect of
the dynamical correlations on the exchange interaction in nanoclusters, we
solve the two-impurity Anderson model for the Mn dimer on the CuN surface. It
is found that the experimental exchange interaction can be well reproduced by
employing $U$=3 eV, which is two times smaller than the value used in static
mean-field LDA+$U$ calculations. This suggests on important role of dynamical
correlations in the interaction between adatoms on a surface.


title:
A general framework for meta-analyzing dependent studies with
  overlapping subjects in association mapping

abstract:
  Meta-analysis of genome-wide association studies is increasingly popular and
many meta-analytic methods have been recently proposed. A majority of
meta-analytic methods combine information from multiple studies by assuming
that studies are independent since individuals collected in one study are
unlikely to be collected again by another study. However, it has become
increasingly common to utilize the same control individuals among multiple
studies to reduce genotyping or sequencing cost. This causes those studies that
share the same individuals to be dependent, and spurious associations may arise
if overlapping subjects are not taken into account in a meta-analysis. In this
paper, we propose a general framework for meta-analyzing dependent studies with
overlapping subjects. Given dependent studies, our approach "decouples" the
studies into independent studies such that meta-analysis methods assuming
independent studies can be applied. This enables many meta-analysis methods,
such as the random effects model, to account for overlapping subjects. Another
advantage is that one can continue to use preferred software in the analysis
pipeline which may not support overlapping subjects. Using simulations and the
Wellcome Trust Case Control Consortium data, we show that our decoupling
approach allows both the fixed and the random effects models to account for
overlapping subjects while retaining desirable false positive rate and power.


title: Sophistication vs Logical Depth

abstract:
  Sophistication and logical depth are two measures that express how
complicated the structure in a string is. Sophistication is defined as the
minimal complexity of a computable function that defines a two-part description
for the string that is shortest within some precision; the second can be
defined as the minimal computation time of a program that is shortest within
some precision. We show that the Busy Beaver function of the sophistication of
a string exceeds its logical depth with logarithmically bigger precision, and
that logical depth exceeds the Busy Beaver function of sophistication with
logarithmically bigger precision. We also show that this is not true if the
precision is only increased by a constant (when the notions are defined with
plain Kolmogorov complexity). Finally we show that sophistication is unstable
in its precision: constant variations can change its value by a linear term in
the length of the string.


title: On the Steinhaus tiling problem in three dimensions

abstract:
  H. Steinhaus asked in the 1950's whether there exists a set in the plane R^2
meeting every isometric copy of Z^2 in precisely one point. Such a "Steinhaus
set" was constructed by Jackson and Mauldin. What about three-space R^3? Is
there a subset of R^3 meeting every isometric copy of Z^3 in exactly one point?
We offer heuristic evidence that the answer is "no".


title:
Explosive Combustion of a Neutron Star into a Quark Star: the
  non-premixed scenario

abstract:
  We review aspects of the hydrodynamical combustion of nuclear matter to
strange quark matter in a neutron star. Numerical studies on non-premixed
combustion that consistently include hydrodynamical flows in a
reactive-diffusive setup show that in 1D, the conversion (burning) front moves
at sub-sonic speeds. Although the front eventually comes to a halt (in the
star's reference frame), it still has ud matter falling onto it, and so is
capable of converting the rest of the star. However, in the process, we also
find that neutrino cooling of the interface causes it to wrinkle, laying a
platform for a deflagrative-to-detonative transition (DDT). We outline progress
on improvements in the burning code (Burn-UD:
http://quarknova.ucalgary.ca/software/Burn-UD/) that will ultimately reveal the
mechanism that can explode the outermost layers of even a dense compact object
like a neutron star.


title: Primordial Non-Gaussianity and Reionization

abstract:
  The statistical properties of the primordial perturbations contain clues
about the origins of those fluctuations. Although the Planck collaboration has
recently obtained tight constraints on primordial non-gaussianity from cosmic
microwave background measurements, it is still worthwhile to mine upcoming data
sets in effort to place independent or competitive limits. The ionized bubbles
that formed at redshift z~6-20 during the Epoch of Reionization are seeded by
primordial overdensities, and so the statistics of the ionization field at high
redshift are related to the statistics of the primordial field. Here we model
the effect of primordial non-gaussianity on the reionization field. The epoch
and duration of reionization are affected as are the sizes of the ionized
bubbles, but these changes are degenerate with variations in the properties of
the ionizing sources and the surrounding intergalactic medium. A more promising
signature is the power spectrum of the spatial fluctuations in the ionization
field, which may be probed by upcoming 21 cm surveys. This has the expected
1/k^2 dependence on large scales, characteristic of a biased tracer of the
matter field. We project how well upcoming 21 cm observations will be able to
disentangle this signal from foreground contamination. Although foreground
cleaning inevitably removes the large-scale modes most impacted by primordial
non-gaussianity, we find that primordial non-gaussianity can be separated from
foreground contamination for a narrow range of length scales. In principle,
futuristic redshifted 21 cm surveys may allow constraints competitive with
Planck.


title: Beyond the Spectral Standard Model: Emergence of Pati-Salam Unification

abstract:
  The assumption that space-time is a noncommutative space formed as a product
of a continuous four dimensional manifold times a finite space predicts, almost
uniquely, the Standard Model with all its fermions, gauge fields, Higgs field
and their representations. A strong restriction on the noncommutative space
results from the first order condition which came from the requirement that the
Dirac operator is a differential operator of order one. Without this
restriction, invariance under inner automorphisms requires the inner
fluctuations of the Dirac operator to contain a quadratic piece expressed in
terms of the linear part. We apply the classification of product noncommutative
spaces without the first order condition and show that this leads immediately
to a Pati-Salam SU(2)_{R}x SU(2)_{L}x SU(4) type model which unifies leptons
and quarks in four colors. Besides the gauge fields, there are 16 fermions in
the (2,1,4)+(1,2,4) representation, fundamental Higgs fields in the (2,2,1),
(2,1,4) and (1,1,1+15) representations. Depending on the precise form of the
order one condition or not there are additional Higgs fields which are either
composite depending on the fundamental Higgs fields listed above, or are
fundamental themselves. These additional Higgs fields break spontaneously the
Pati-Salam symmetries at high energies to those of the Standard Model.


title:
Measuring fast electron spectra and laser absorption in relativistic
  laser-solid interactions using differential bremsstrahlung photon detectors

abstract:
  A photon detector suitable for the measurement of bremsstrahlung spectra
generated in relativistically-intense laser-solid interactions is described.
The Monte Carlo techniques used to back-out the fast electron spectrum and
laser energy absorbed into fast electrons are detailed. A
relativistically-intense laser-solid experiment using frequency doubled laser
light is used to demonstrate the effective operation of the detector. The
experimental data was interpreted using the 3-spatial-dimension Monte Carlo
code MCNPX (Pelowitz 2008), and the fast electron temperature found to be 125
keV.


title: Registration of Images with Outliers Using Joint Saliency Map

abstract:
  Mutual information (MI) is a popular similarity measure for image
registration, whereby good registration can be achieved by maximizing the
compactness of the clusters in the joint histogram. However, MI is sensitive to
the "outlier" objects that appear in one image but not the other, and also
suffers from local and biased maxima. We propose a novel joint saliency map
(JSM) to highlight the corresponding salient structures in the two images, and
emphatically group those salient structures into the smoothed compact clusters
in the weighted joint histogram. This strategy could solve both the outlier and
the local maxima problems. Experimental results show that the JSM-MI based
algorithm is not only accurate but also robust for registration of challenging
image pairs with outliers.


title: Optical Communication Without Photons

abstract:
  I analyse a recent quantum communication protocol by Salih et al. that allows
one to communicate without any particle carrying the information from the
sender to the receiver. I show how this can equally be achieved using classical
communication.


title:
Power factor for layered thermoelectric materials with a closed Fermi
  surface in a quantizing magnetic field

abstract:
  The field dependence of power factor for a layered thermoelectric material
with a closed Fermi surface in a quantizing magnetic field and at helium
temperatures has been studied in the geometry where the temperature gradient
and the magnetic field are perpendicular to the material lasyers. The
calculations are carried out in the constant relaxation time approximation. In
weak magnetic fields,the layered structure effects are shown to manifest
themselves in a phase retardation of power factor oscillations,increase of
their relativeb contribution, and certain reduction of the power factor in
whole.In highmagnetic fields,there exists an optimal range,where the power
factor reaches its maximum,with the corresponding value calculated for the
chosen parameters of the problem in the effective mass approximation being by
12%higher than that for real layered crystals.Despite low temperatures,the
power factor maximum obtained with those parameters in a magnetic field of 1T
has a value characteristic of cuprate thermoelectric materials at 1000K. For
this phenomenon to take place, it is necessary that the ratio between the free
path of charge carriers and interlayer distance should be equal to or larger
than 30000. However,in ultraquantum magnetic fields, the power factor
drastically decreases following the dependence P propto T^-3B^-6.The main
reason for this reduction is a squeeze of the Fermi surface along the magnetic
field in the ultraquantum limit owing the condensation of charge carriers on
the bottom of a single filled Landau subband.


title:
Who teaches science in Alagoas? A quantitative analysis of
  non-specialist teaching at primary and secondary schools in Brazil

abstract:
  While non-specialist teaching increasingly becomes an object of public
interest, there is little data available on the actual educational background
of teachers giving classes outside their specialisation. This work analyses the
data collected by the Brazilian Ministry of Education from public and private
schools in Alagoas (Brazil), with a special focus on science education at
primary and secondary schools. We find that the phenomena of non-specialist
teaching is highly subject specific. For instance, while both maths and biology
are little affected, more than half of physics classes are given by teachers
without an education in any natural science.


title: Ab-initio study on the possible doping strategies for MoS$_2$ monolayers

abstract:
  Density functional theory is used to systematically study the electronic and
magnetic properties of doped MoS$_2$ monolayers, where the dopants are
incorporated both via S/Mo substitution or as adsorbates. Among the possible
substitutional dopants at the Mo site, Nb is identified as suitable p-type
dopant, while Re is the donor with the lowest activation energy. When dopants
are simply adsorbed on a monolayer we find that alkali metals shift the Fermi
energy into the MoS$_2$ conduction band, making the system n-type. Finally, the
adsorption of charged molecules is considered, mimicking an ionic liquid
environment. We find that molecules adsorption can lead to both n- and p-type
conductivity, depending on the charge polarity of the adsorbed species.


title:
The Extragalactic Background Light (EBL): A Probe of Fundamental Physics
  and a Record of Structure Formation in the Universe

abstract:
  A brief white paper discussing the connections between the Extragalactic
Background Light (EBL) and fundamental physics through gamma-ray observations
is provided.


title: Mean velocity equation for turbulent flow

abstract:
  The hydrodynamic equation derived by N-particle statistical mechanics is
investigated. This is an attempt to provide additional information concerning
the closure problem of turbulence theory. The equation is interpreted as mean
velocity equation for turbulent fluid flow. The third-order term of the
friction force is calculated. Multilinear mode coupling theory is applied in
order to obtain formulas for the third- und fourth-order equilibrium time
correlation functions appearing in the expression. The force term is obtained
as a convolution integral containing higher order gradients of the velocity
field.


title: Bound state in the continuum and spin filter in artificial molecules

abstract:
  In this paper we study the formation of bound states in the continuum in a
quantum dot molecule coupled to leads. Based in the combination of bound states
in the continuum and Fano effect, we propose a new design of a spin-dependent
polarizer. By lifting the spin degeneracy of the carriers in the quantum dots
by means of a magnetic field the system can be used as a spin-polarized device.
A detailed analysis of the spin-dependent conductance and spin polarization as
a function of the applied magnetic field and gate voltages is carried out.


title: A Curious History of Sunspot Penumbrae

abstract:
  Daily records of sunspot group areas compiled by the Royal Observatory,
Greenwich, from May of 1874 through 1976 indicate a curious history for the
penumbral areas of the smaller sunspot groups. On average, the ratio of
penumbral area to umbral area in a sunspot group increases from 5 to 6 as the
total sunspot group area increases from 100 to 2000 microHem (a microHem is a
millionth the area of a solar hemisphere). This relationship does not vary
substantially with sunspot group latitude or with the phase of the sunspot
cycle. However, for the sunspot groups with total areas <100 microHem, this
ratio changes dramatically and systematically through this historical record.
The ratio for these smallest sunspots is near 5.5 from 1874 to 1900. After a
rapid rise to more than 7 in 1905 it drops smoothly to less than 3 by 1930 and
then rises smoothly back to more than 7 in 1961. It then returns to near 5.5
from 1965 to 1976. The smooth variation from 1905 to 1961 shows no indication
of any step-like changes that might be attributed to changes in equipment or
personnel. The overall level of solar activity was increasing monotonically
during this time period when the penumbra-to-umbra area ratio dropped to less
than half its peak value and then returned. If this history can be confirmed by
other observations (e.g., Mt. Wilson or Kodaikanal) it may impact our
understanding of penumbra formation, our dynamo models, and our estimates of
historical changes in the solar irradiance.


title:
Broken Symmetries, Zero-Energy Modes, and Quantum Transport in
  Disordered Graphene: From Supermetallic to Insulating Regimes

abstract:
  The role of defect-induced zero-energy modes on charge transport in graphene
is investigated using Kubo and Landauer transport calculations. By tuning the
density of random distributions of monovacancies either equally populating the
two sublattices or exclusively located on a single sublattice, all conduction
regimes are covered from direct tunneling through evanescent modes to
mesoscopic transport in bulk disordered graphene. Depending on the transport
measurement geometry, defect density, and broken sublattice-symmetry, the Dirac
point conductivity is either exceptionally robust against disorder
(supermetallic state) or suppressed through a gap opening or by algebraic
localization of zero-energy modes, whereas weak localization and the Anderson
insulating regime are obtained for higher energies. These findings clarify the
contribution of zero-energy modes to transport at the Dirac point, hitherto
controversial.


title:
Harada-Tsutsui Gauge Recovery Procedure: From Abelian Gauge Anomalies to
  the Stueckelberg Mechanism

abstract:
  Revisiting a path-integral procedure of recovering gauge invariance from
anomalous effective actions developed by Harada and Tsutsui, it is shown that
there are two ways to achieve gauge symmetry: one already presented by the
authors, which is shown to preserve the anomaly in the sense of standard
conservation law, and another one which is anomaly-free, preserving current
conservation. It is also shown that the aplication of Harada-Tsutsui technique
to other models which are not anomalous but do not exhibit gauge invariance
allows the identification of the gauge invariant formulation of the Proca
model, also done by the referred authors, with the Stueckelberg model, leading
to the interpretation of the gauge invariant map as a generalization of the
Stueckelberg mechanism.


title:
Theoretical and numerical analysis of current-driven electromagnetic
  homogenization and the problem of effective medium parameters for finite
  samples

abstract:
  Reflection and refraction of electromagnetic waves by artificial periodic
composites (metamaterials) can be accurately modeled by an effective medium
theory only if the boundary of the medium is explicitly taken into account and
the two effective parameters of the medium -- the index of refraction and the
impedance -- are correctly determined. Theories that consider infinite periodic
composites do not satisfy the above condition. As a result, they cannot model
reflection and transmission by finite samples with the desired accuracy and are
not useful for design of metamaterial-based devices. As an instructive case in
point, we consider the "current-driven" homogenization theory, which has
recently gained popularity. We apply this theory to the case of one-dimensional
periodic medium wherein both exact and homogenization results can be obtained
analytically in closed form. We show that, beyond the well-understood zero-cell
limit, the current-driven homogenization result is inconsistent with the exact
reflection and transmission characteristics of the slab.


title: A complete topological invariant for braided magnetic fields

abstract:
  A topological flux function is introduced to quantify the topology of
magnetic braids: non-zero line-tied magnetic fields whose field lines all
connect between two boundaries. This scalar function is an ideal invariant
defined on a cross-section of the magnetic field, whose integral over the
cross-section yields the relative magnetic helicity. Recognising that the
topological flux function is an action in the Hamiltonian formulation of the
field line equations, a simple formula for its differential is obtained. We use
this to prove that the topological flux function uniquely characterises the
field line mapping and hence the magnetic topology. A simple example is
presented.

categories: physics.plasm-ph astro-ph.SR math-ph math.MP


title: The QCD phase diagram from Schwinger-Dyson Equations

abstract:
  We study the phase diagram of quantum chromodynamics (QCD). For this purpose
we employ the Schwinger-Dyson equations (SDEs) technique and construct a
truncation of the infinite tower of equations by demanding a matching with the
lattice results for the quark-anti-quark condensate at finite temperature (T),
for zero quark chemical potential (mu), that is, the region where lattice
calculations are expected to provide reliable results. We compute the evolution
of the phase diagram away from T=0 for increasing values of the chemical
potential by following the evolution of the heat capacity as a function of T
and mu. The behavior of this thermodynamic variable clearly demonstrates the
existence of a cross-over for mu less than a critical value. However, the heat
capacity develops a singularity near mu approx 0.22 GeV marking the onslaught
of a first order phase transition characterized by the existence of a critical
point. The critical line continues until mu approx 0.53 GeV where Tc=0 and thus
chiral symmetry is finally restored.


title: Computing the first eigenpair for problems with variable exponents

abstract:
  We compute the first eigenpair for variable exponent eigenvalue problems. We
compare the homogeneous definition of first eigenvalue with previous
nonhomogeneous notions in the literature. We highlight the symmetry breaking
phenomena


title: Semistar operations and standard closure operations

abstract:
  Let $R$ be a commutative ring. It is shown that there is an order isomorphism
between a popular class of finite type closure operations on the ideals of $R$
and the poset of semistar operations of finite type.


title:
Confocal microphotoluminescence mapping of coupled and detuned states in
  photonic molecules

abstract:
  We study the coupling of cavities defined by the local modulation of the
waveguide width using confocal photoluminescence microscopy. We are able to
spatially map the profile of the antisymmetric (antibonding) and symmetric
(bonding) modes of a pair of strongly coupled cavities(photonic molecule) and
follow the coupled cavity system from the strong coupling to the weak coupling
regime in the presence of structural disorder. The effect of disorder on this
photonic molecule is also investigated numerically with a finite-difference
time-domain method and a semi-analytical approach, which enables us to quantify
the light localization observed in either cavity as a function of detuning.


title: Fast Approximate Polynomial Multipoint Evaluation and Applications

abstract:
  It is well known that, using fast algorithms for polynomial multiplication
and division, evaluation of a polynomial $F \in \mathbb{C}[x]$ of degree $n$ at
$n$ complex-valued points can be done with $\tilde{O}(n)$ exact field
operations in $\mathbb{C},$ where $\tilde{O}(\cdot)$ means that we omit
polylogarithmic factors. We complement this result by an analysis of
approximate multipoint evaluation of $F$ to a precision of $L$ bits after the
binary point and prove a bit complexity of $\tilde{O}(n(L + \tau + n\Gamma)),$
where $2^\tau$ and $2^\Gamma,$ with $\tau, \Gamma \in \mathbb{N}_{\ge 1},$ are
bounds on the magnitude of the coefficients of $F$ and the evaluation points,
respectively. In particular, in the important case where the precision demand
dominates the other input parameters, the complexity is soft-linear in $n$ and
$L$.
  Our result on approximate multipoint evaluation has some interesting
consequences on the bit complexity of further approximation algorithms which
all use polynomial evaluation as a key subroutine. Of these applications, we
discuss in detail an algorithm for polynomial interpolation and for computing a
Taylor shift of a polynomial. Furthermore, our result can be used to derive
improved complexity bounds for algorithms to refine isolating intervals for the
real roots of a polynomial. For all of the latter algorithms, we derive
near-optimal running times.


title:
Discovery of probably Tunguska meteorites at the bottom of Khushmo
  river's shoal

abstract:
  The author describes some stones which he found at the bottom of Khushmo
River's shoal during 1988 expedition into the region of the Tunguska impact
(1908). Photos of stones are presented. Three stones have traces of melting and
the author consider these stones as probable Tunguska meteorites. Some
arguments are presented to confirm author's opinion. Results of investigation
of prospect holes in peat-bogs are briefly described too. New data concerning
heat impulse of the Tunguska impact are obtained. There is the assumption that
some meteorites which are formed during comet impact looks like stony or
glass-like thin plates with traces of melting.


title: H.E.S.S. discovery of VHE gamma-rays from the quasar PKS 1510-089

abstract:
  The quasar PKS 1510-089 (z=0.361) was observed with the H.E.S.S. array of
imaging atmospheric Cherenkov telescopes during high states in the optical and
GeV bands, to search for very high energy (VHE, defined as E >= 0.1 TeV)
emission. VHE \gamma-rays were detected with a statistical significance of 9.2
standard deviations in 15.8 hours of H.E.S.S. data taken during March and April
2009. A VHE integral flux of I(0.15 TeV < E < 1.0 TeV) = (1.0 +- 0.2 (stat) +-
0.2 (sys) x 10^{-11} cm^{-2}s^{-1} is measured. The best-fit power law to the
VHE data has a photon index of \Gamma=5.4 +- 0.7 (stat) +- 0.3 (sys). The GeV
and optical light curves show pronounced variability during the period of
H.E.S.S. observations. However, there is insufficient evidence to claim
statistically significant variability in the VHE data. Because of its
relatively high redshift, the VHE flux from PKS 1510-089 should suffer
considerable attenuation in the intergalactic space due to the extragalactic
background light (EBL). Hence, the measured \gamma-ray spectrum is used to
derive upper limits on the opacity due to EBL, which are found to be comparable
with the previously derived limits from relatively-nearby BL Lac objects.
Unlike typical VHE-detected blazars where the broadband spectrum is dominated
by non-thermal radiation at all wavelengths, the quasar PKS 1510-089 has a
bright thermal component in the optical to UV frequency band. Among all VHE
detected blazars, PKS 1510-089 has the most luminous broad line region (BLR).
The detection of VHE emission from this quasar indicates a low level of
\gamma-\gamma absorption on the internal optical to UV photon field.


title: Trailing edge noise theory for rotating blades in uniform flow

abstract:
  This paper presents a new formulation for trailing edge noise radiation from
rotating blades based on an analytical solution of the convective wave
equation. It accounts for distributed loading and the effect of mean flow and
spanwise wavenumber. A commonly used theory due to Schlinker and Amiet (1981)
predicts trailing edge noise radiation from rotating blades. However, different
versions of the theory exist; it is not known which version is the correct one
and what the range of validity of the theory is. This paper addresses both
questions by deriving Schlinker and Amiet's theory in a simple way and by
comparing it to the new formulation, using model blade elements representative
of a wind turbine, a cooling fan and an aircraft propeller. The correct form of
Schlinker and Amiet's theory (1981) is identified. It is valid at high enough
frequency, i.e. for a Helmholtz number relative to chord greater than one and a
rotational frequency much smaller than the angular frequency of the noise
sources.


title:
Magnetic Structure Producing X- and M-Class Solar Flares in Solar Active
  Region 11158

abstract:
  We study the three-dimensional magnetic structure of solar active region
11158, which produced one X-class and several M-class flares on 2011 February
13$-$16. We focus on the magnetic twist in four flare events, M6.6, X2.2, M1.0,
and M1.1. The magnetic twist is estimated from the nonlinear force-free field
extrapolated from the vector fields obtained from the Helioseismic and Magnetic
Imager on board the Solar Dynamic Observatory using magnetohydrodynamic
relaxation method developed by \cite{2011ApJ...738..161I}. We found that
strongly twisted lines ranging from half-turn to one-turn twist were built up
just before the M6.6- and X2.2 flares and disappeared after that. Because most
of the twist remaining after these flares was less than half-turn twist, this
result suggests that the buildup of magnetic twist over the half-turn twist is
a key process in the production of large flares. On the other hand, even though
these strong twists were also built up just before the M1.0 and M1.1 flares,
most of them remained afterwords. Careful topological analysis before the M1.0
and M1.1 flares shows that the strongly twisted lines were surrounded mostly by
the weakly twisted lines formed in accordance with the clockwise motion of the
positive sunspot, whose footpoints are rooted in strong magnetic flux regions.
These results imply that these weakly twisted lines might suppress the activity
of the strongly twisted lines in the last two M-class flares.


title: Simplification of complexes for persistent homology computations

abstract:
  In this paper we focus on preprocessing for persistent homology computations.
We adapt some techniques which were successfully used for standard homology
computations. The main idea is to reduce the complex prior to generating its
boundary matrix, which is costly to store and process. We discuss the following
reduction methods: elementary collapses, coreductions (as defined by Mrozek and
Batko) and acyclic subspace method (introduced by Mrozek, Pilarczyk and
\.Zelazna).


title:
Exploring the geometry of qutrit state space using symmetric
  informationally complete probabilities

abstract:
  We examine the geometric structure of qutrit state space by identifying the
outcome probabilities of symmetric informationally complete (SIC) measurements
with quantum states. We categorize the infinitely many qutrit SICs into eight
SIC families corresponding to independent orbits of the extended Clifford
group. Every SIC can be uniquely identified from a set of geometric invariants
that we use to establish several properties of the convex body of qutrits,
which include a simple formula describing its extreme points, an expression for
the rotation between the probability vectors for distinct qutrit SICs, and a
polar equation for its boundary states.


title: Valley-Polarized Quantum Anomalous-Hall Effects in Silicene

abstract:
  We demonstrate a new quantum state of matter---valley-polarized quantum
anomalous Hall effect in monolayer silicene. In the presence of extrinsic
Rashba spin-orbit coupling and exchange field, monolayer silicene can host a
quantum anomalous-Hall state with Chern number C=2. We find that through tuning
Rashba spin-orbit coupling, a topological phase transition gives rise to a
valley polarized quantum anomalous Hall state, i.e. a quantum state which
exhibits electronic properties of both quantum valley-Hall effect (valley Chern
number C_V=3) and quantum anomalous Hall effect with C=-1.


title: Stabilizing Gene Regulatory Networks Through Feedforward Loops

abstract:
  The global dynamics of gene regulatory networks are known to show robustness
to perturbations in the form of intrinsic and extrinsic noise, as well as
mutations of individual genes. One molecular mechanism underlying this
robustness has been identified as the action of so-called microRNAs that
operate via feedforward loops. We present results of a computational study,
using the modeling framework of stochastic Boolean networks, which explores the
role that such network motifs play in stabilizing global dynamics. The paper
introduces a new measure for the stability of stochastic networks. The results
show that certain types of feedforward loops do indeed buffer the network
against stochastic effects.


title:
Nucleation and cap formation on symmetric metal nanocatalysts: A first
  step towards chirality-controlled single-walled carbon nanotube growth

abstract:
  Symmetric minima of surface potential energy of a nanocatalyst act as
nucleation sites for chirally selective initial growth of single walled carbon
tubes at low temperatures. The nucleation sites are sites of maximum
coordination number of the adsorbed carbon. We show this using the five fold
symmetry of a pentagonal pyramid of an icosahedron. Initial zigzag structure
from nucleation sites results in formation of hexagons and pentagons that
result in anomalous cap formation. Possible cap lift off mechanism is
discussed.


title:
Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair
  conjecture

abstract:
  We obtain the first black hole solution to Type-IIA String Theory
compactified on an arbitrary self-mirror Calabi Yau manifold in the presence of
non-perturbative quantum corrections. Remarkably enough, the solution involves
multivalued functions, which could lead to a violation of the No-Hair
conjecture. We discuss how String Theory forbids such secenario. However the
possibility still remains open in the context of four-dimensional ungauged
Supergravity.


title: Secure Transmission of Password Using Speech Watermarking

abstract:
  Internet is one of the most valuable resources for information communication
and retrievals. Most multimedia signals today are in digital formats. The
digital data can be duplicated and edited with great ease which has led to a
need for data integrity and protection of digital data. The security
requirements such as integrity or data authentication can be met by
implementing security measures using digital watermarking techniques. In this
paper a blind speech watermarking algorithm that embeds the watermark signal
data in the musical (sequence) host signal by using frequency masking is used.
A different logarithmic approach is proposed. In this regard a logarithmic
function is first applied to watermark data. Then the transformed signal is
embedded to the converted version of host signal which is obtained by applying
Fast Fourier transform method. Finally using inverse Fast Fourier Transform and
antilogarithmic function watermark signal is retrieved.


title:
Exploration of stable and unstable vortex patterns in a superconductor
  under a magnetic disc

abstract:
  The stable and unstable solutions of a square 2D extreme type-II
superconductor are studied in the field of a magnetic disc. We use a
preconditioned Newton-Krylov solver to find the solutions and use numerical
continuation to track the solutions as the field strength varies. For a disc
with a small radius, we have identified generic scenarios through which the
state loses and regains its stability.


title: Cubic interaction vertices in higher spin theories

abstract:
  Based purely on symmetry considerations, we derive the following result: in
momentum space, the coefficient of the cubic interaction vertex for a spin
$\lambda$ field is equal to the corresponding Yang-Mills (spin 1) coefficient,
raised to the power $\lambda$. This result is valid for all $\lambda$ for
Lagrangians that contain a cubic interaction vertex of the form
$\lambda$-$\lambda$-$\lambda$, in four-dimensional flat spacetime. For
$\lambda=3$, we present an additional derivation of this result.


title:
Adaptive Video Streaming for Wireless Networks with Multiple Users and
  Helpers

abstract:
  We consider the optimal design of a scheduling policy for adaptive video
streaming in a wireless network formed by several users and helpers. A feature
of such networks is that any user is typically in the range of multiple
helpers. Hence, in order to cope with user-helper association, load balancing
and inter-cell interference, an efficient streaming policy should allow the
users to dynamically select the helper node to download from, and determine
adaptively the video quality level of the download. In order to obtain a
tractable formulation, we follow a "divide and conquer" approach: i) Assuming
that each video packet (chunk) is delivered within its playback delay ("smooth
streaming regime"), the problem is formulated as a network utility maximization
(NUM), subject to queue stability, where the network utility function is a
concave and componentwise non-decreasing function of the users' video quality
measure. ii) We solve the NUM problem by using a Lyapunov Drift Plus Penalty
approach, obtaining a scheme that naturally decomposes into two sub-policies
referred to as "congestion control" (adaptive video quality and helper station
selection) and "transmission scheduling" (dynamic allocation of the helper-user
physical layer transmission rates).Our solution is provably optimal with
respect to the proposed NUM problem, in a strong per-sample path sense. iii)
Finally, we propose a method to adaptively estimate the maximum queuing delays,
such that each user can calculate its pre-buffering and re-buffering time in
order to cope with the fluctuations of the queuing delays. Through simulations,
we evaluate the performance of the proposed algorithm under realistic
assumptions of a network with densely deployed helper nodes, and demonstrate
the per-sample path optimality of the proposed solution by considering a
non-stationary non-ergodic scenario with user mobility, VBR video coding.


title: Statistical Analysis of Air Traffic in Latvian Region

abstract:
  The goal of the research is statistical analyzes of air traffic in airport
'Riga' zone. Special statistical methods oriented to the concrete object area -
airspace of Latvia are developed. Some experiments are made to discover
season's and during twenty-four hours unstationarity of this process. Air
traffic intensity for some stationary period for some airways is estimated.


title:
Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger
  Equation

abstract:
  In this paper, using the Darboux transformation, we demonstrate the
generation of first order breather and higher-order rogue waves from a
generalized nonlinear Schr\"odinger equation with several higher-order
nonlinear effects representing femtosecond pulse propagation through nonlinear
silica fiber. The same nonlinear evolution equation can also describes the
soliton-type nonlinear excitations in classical Heisenberg spin chain. Such
solutions have a parameter $\gamma_1$, denoting the strength of the
higher-order effects. From the numerical plots of the rational solutions, the
compression effects of the breather and rogue waves produced by $\gamma_1$ are
discussed in detail.


title: Construction of the mutually orthogonal extraordinary supersquares

abstract:
  Our purpose is to determine the complete set of mutually orthogonal squares
of order $d$, which are not necessary Latin. In this article, we introduce the
concept of supersquare of order $d$, which is defined with the help of its
generating subgroup in $\mathbb{F}_d\times \mathbb{F}_d$. We present a method
of construction of the mutually orthogonal supersquares. Further, we
investigate the orthogonality of extraordinary supersquares, a special family
of squares, whose generating subgroups are extraordinary. The extraordinary
subgroups in $\mathbb{F}_d\times \mathbb{F}_d$ are of great importance in the
field of quantum information processing, especially for the study of mutually
unbiased bases. We determine the most general complete sets of mutually
orthogonal extraordinary supersquares of order 4, which consist in the
so-called Type I and Type II. The well-known case of $d-1$ mutually orthogonal
Latin squares is only a special case, namely Type I.


title:
Uniqueness of Tensor Decompositions with Applications to Polynomial
  Identifiability

abstract:
  We give a robust version of the celebrated result of Kruskal on the
uniqueness of tensor decompositions: we prove that given a tensor whose
decomposition satisfies a robust form of Kruskal's rank condition, it is
possible to approximately recover the decomposition if the tensor is known up
to a sufficiently small (inverse polynomial) error.
  Kruskal's theorem has found many applications in proving the identifiability
of parameters for various latent variable models and mixture models such as
Hidden Markov models, topic models etc. Our robust version immediately implies
identifiability using only polynomially many samples in many of these settings.
This polynomial identifiability is an essential first step towards efficient
learning algorithms for these models.
  Recently, algorithms based on tensor decompositions have been used to
estimate the parameters of various hidden variable models efficiently in
special cases as long as they satisfy certain "non-degeneracy" properties. Our
methods give a way to go beyond this non-degeneracy barrier, and establish
polynomial identifiability of the parameters under much milder conditions.
Given the importance of Kruskal's theorem in the tensor literature, we expect
that this robust version will have several applications beyond the settings we
explore in this work.


title:
A Task of the Storage Control Theory in Transport Systems using
  Resampling-method

abstract:
  The probability of shortage absence is estimated for the storage of some
transport system. The intensive computer methods of statistics are used in
corresponding processes simulation. The efficiency of suggested approach,
taking the mean square error of the estimator as the criterion, is illustrated
with corresponding numerical examples.


title:
Distribution and Symmetric Distribution Regression Model for
  Interval-Valued Variables

abstract:
  Symbolic Data Analysis works with variables for which each unit or class of
units takes a finite set of values/categories, an interval or a distribution
(an histogram, for instance). When to each observation corresponds an empirical
distribution, we have a histogram-valued variable; it reduces to the case of an
interval-valued variable if each unit takes values on only one interval with
probability equal to one. Distribution and Symmetric Distribution is a linear
regression model proposed for histogram-valued variables that may be
particularized to interval-valued variables. This model is defined for n
explicative variables and is based on the distributions considered within the
intervals. In this paper we study the special case where the Uniform
distribution is assumed in each observed interval. As in the classical case, a
goodness-of-fit measure is deduced from the model. Some illustrative examples
are presented. A simulation study allows discussing interpretations of the
behavior of the model for this variable type.


title: Harnessing vacuum forces for quantum sensing of graphene motion

abstract:
  Position measurements at the quantum level are vital for many applications,
but also challenging. Typically, methods based on optical phase shifts are
used, but these methods are often weak and difficult to apply to many
materials. An important example is graphene, which is an excellent mechanical
resonator due to its small mass and an outstanding platform for
nanotechnologies, but is largely transparent. Here, we present a novel
detection scheme based upon the strong, dispersive vacuum interactions between
a graphene sheet and a quantum emitter. In particular, the mechanical
displacement causes strong changes in the vacuum-induced shifts of the
transition frequency of the emitter, which can be read out via optical fields.
We show that this enables strong quantum squeezing of the graphene position on
time scales short compared to the mechanical period.


title: Deformation of involution and multiplication in a C*-algebra

abstract:
  We investigate the deformation of involution and multiplication in a unital
$C^*$-algebra when its norm is fixed. Our main result is to present all
multiplications and involutions on a given $C^*$-algebra $\mathcal{A}$ under
which $\mathcal{A}$ is still a $C^*$-algebra whereas we keep the norm
unchanged. For each invertible element $a\in\mathcal{A}$ we also introduce an
involution and a multiplication making $\mathcal{A}$ into a $C^*$-algebra in
which $a$ becomes a positive element. Further, we give a necessary and
sufficient condition for that the center of a unital $C^*$-algebra
$\mathcal{A}$ is trivial.


title:
Fractal-Based Detection of Microcalcification Clusters in Digital
  Mammograms

abstract:
  In this paper, a novel method for edge detection of microcalcification
clusters in mammogram images is presented using the concept of Fractal
Dimension and Hurst co-efficient that enables to locate the microcalcifications
in the mammograms. This technique detects the edges accurately than the ones
obtained by the conventional Sobel method. Generally, Sobel method detects the
edges of the regions/objects in an image using the Fudge factor that assumes
its value as 0.5, by default. In this proposed technique, the Fudge factor is
suitably replaced with Hurst Co-efficient, which is computed as the difference
of Fractal dimension and the topological dimension of a given input image.
These two dimensions are image-dependent, and hence the respective Hurst
co-efficient too varies with respect to images. Hence, the image-dependent
Hurst co-efficient based Sobel method is proved to produce better results than
the Fudge factor based Sobel method. The results of the proposed method
substantiate the merit of the proposed technique.


title:
Occupation times, drawdowns, and drawups for one-dimensional regular
  diffusions

abstract:
  The drawdown process of an one-dimensional regular diffusion process $X$ is
given by $X$ reflected at its running maximum. The drawup process is given by
$X$ reflected at its running minimum. We calculate the probability that a
drawdown proceeds a drawup in an exponential time-horizon. We then study the
law of the occupation times of the drawdown process and the drawup process.
These results are applied to address problems in risk analysis and for option
pricing of the drawdown process. Finally, we present examples of Brownian
motion with drift and three-dimensional Bessel processes, where we prove an
identity in law.


title: Quasi-1D scattering with general transverse 2D confinement

abstract:
  Confinement induced resonances (CIR) in quasi-1D systems have been
theoretically predicted and observed in various ultracold atomic gases. Here a
regularized local frame transformation method is developed to treat CIR in a
quasi-1D system that has an arbitrary transverse trap shape in general. The
method is applied to predict the CIR position in a system whose transverse
geometry is a square well.


title: Experimental realization of Josephson junctions for an Atom SQUID

abstract:
  We report the creation of a pair of Josephson junctions on a toroidal dilute
gas Bose-Einstein condensate (BEC), a configuration that is the cold atom
analog of the well-known dc superconducting quantum interference device
(SQUID). We observe Josephson effects, measure the critical current of the
junctions, and find dynamic behavior that is in good agreement with the simple
Josephson equations for a tunnel junction with the ideal sinusoidal
current-phase relation expected for the parameters of the experiment. The
junctions and toroidal trap are created with the painted potential, a
time-averaged optical dipole potential technique which will allow scaling to
more complex BEC circuit geometries than the single atom-SQUID case reported
here. Since rotation plays the same role in the atom SQUID as magnetic field
does in the dc SQUID magnetometer, the device has potential as a compact
rotation sensor.


title: Wigner Crystallization of Single Photons in Cold Rydberg Ensemble

abstract:
  The coupling of weak light fields to Rydberg states of atoms under conditions
of electromagnetically induced transparency (EIT) leads to the formation of
Rydberg polaritons which are quasi-particles with tunable effective mass and
long-range interactions. Confined to one spatial dimension their low energy
physics is that of a moving-frame Luttinger liquid which due to the long-range
character of the repulsive interaction can form a Wigner crystal. We calculate
the Luttinger $K$ parameter using density-matrix renormalization group (DMRG)
simulations and find that under typical slow-light conditions kinetic energy
contributions are too strong for crystal formation. However, adiabatically
increasing the polariton mass by turning a light pulse into stationary spin
excitations allows to generate true crystalline order over a finite length. The
dynamics of this process and asymptotic correlations are analyzed in terms of a
time-dependent Luttinger theory.


title: Connected sum at infinity and 4-manifolds

abstract:
  We study connected sum at infinity on smooth, open manifolds. This operation
requires a choice of proper ray in each manifold summand. In favorable
circumstances, the connected sum at infinity operation is independent of ray
choices. For each m at least 3, we construct an infinite family of pairs of
m-manifolds on which the connected sum at infinity operation yields distinct
manifolds for certain ray choices. We use cohomology algebras at infinity to
distinguish these manifolds.