title:
Theory of magnetic small-angle neutron scattering of two-phase
  ferromagnets

abstract:
  Based on micromagnetic theory we have derived analytical expressions for the
magnetic small-angle neutron scattering (SANS) cross section of a two-phase
particle-matrix-type ferromagnet. The approach---valid close to magnetic
saturation---provides access to several features of the spin structure such as
perturbing magnetic anisotropy and magnetostatic fields. Depending on the
applied magnetic field and on the magnitude $H_p$ of the magnetic anisotropy
field relative to the magnitude $\Delta M$ of the jump in the longitudinal
magnetization at the particle-matrix interface, we observe a variety of angular
anisotropies in the magnetic SANS cross section. In particular, the model
explains the "clover-leaf"-shaped angular anisotropy which was previously
observed for several nanostructured magnetic materials, and it provides access
to the magnetic interaction parameters such as the average exchange-stiffness
constant. It is also shown that the ratio $H_p / \Delta M$ decisively
determines the asymptotic power-law exponent and the range of spin-misalignment
correlations.


title:
On the fluctuation of thermal van der Waals forces due to dipole
  fluctuations

abstract:
  Fluctuations of the thermal or classical component of the van der Waals force
between two dielectric slabs, modelled as an ensemble of polarizable dipoles
which interact via the usual electrostatic dipole-dipole interaction, are
evaluated. In the model the instantaneous force is a deterministic function of
the dipole configurations in the slabs and its fluctuations are purely due to
dipole fluctuations (no background thermal fluctuations of the electromagnetic
field are considered). The average of the force and its variance are computed.
The fluctuations of the force exhibit normal thermodynamic scaling in that they
are proportional to the area of the two plates, and even more importantly, do
not depend on any microscopic cut-off in the theory. The average and the
variance of the thermal van der Waals forces give a unique fingerprint of these
fluctuation interactions.


title:
Nondegeneracy of Positive solutions of a Semilinear elliptic problem in
  the Hyperbolic space

abstract:
  In this article we will study the nondegeneracy properties of positive finite
energy solutions of a semilinear elliptic equation in the N-dimensional
Hyperbolic space. We will show that the degeneracy occurs only in an N
dimensional subspace. We will prove that the positive solutions are
nondegenerate in the case of geodesic balls.


title:
Mapping UHECRs deflections through the turbulent galactic magnetic field
  with the latest RM data

abstract:
  We study the influence of the random part of the Galactic magnetic field on
the propagation of ultra high-energy cosmic rays. Within very mild
approximations about the properties of the electron density fluctuations in the
Galaxy we are able to derive a clear and direct relation between the observed
variance of rotation measures and the predicted cosmic ray deflections.
Remarkably, this is obtained bypassing entirely the detailed knowledge of the
magnetic properties of the turbulent plasma. Depending on the parameters of the
electron density spectrum, we can either directly estimate the expected
deflection, or constrain it from above. Thanks to the latest observational data
on rotation measures, we build a direction-dependent map of such deflections.
We find that over most of the sky the random deflections of 40 EeV protons do
not exceed 1 to 2 degrees, and can be as large as 5 degrees close to the
Galactic plane.


title:
Detecting modules in quantitative bipartite networks: the QuaBiMo
  algorithm

abstract:
  Ecological networks are often composed of different sub-communities (often
referred to as modules). Identifying such modules has the potential to develop
a better understanding of the assembly of ecological communities and to
investigate functional overlap or specialisation. The most informative form of
networks are quantitative or weighted networks. Here we introduce an algorithm
to identify modules in quantitative bipartite (or two-mode) networks. It is
based on the hierarchical random graphs concept of Clauset et al. (2008 Nature
453: 98-101) and is extended to include quantitative information and adapted to
work with bipartite graphs. We define the algorithm, which we call QuaBiMo,
sketch its performance on simulated data and illustrate its potential
usefulness with a case study.


title: Moduli space of quasi-polarized K3 surfaces of degree 6 and 8

abstract:
  In this paper, we study the moduli space of quasi-polarized complex K3
surfaces of degree 6 and 8 via geometric invariant theory. The general members
in such moduli spaces are complete intersections in projective spaces and we
have natural GIT constructions for the corresponding moduli spaces and we show
that the K3 surfaces with at worst ADE singularities are GIT stable. We give a
concrete description of boundary of the compactification of the degree 6 case
via the Hilbert-Mumford criterion. We compute the Picard group via
Noether-Lefschetz theory and discuss the connection to the Looijenga's
compactifications from arithmetic perspective. One of the main ingredients is
the study of the projective models of K3 surfaces in terms of Noether-Lefschetz
divisors.


title: Heat kernel estimates and the essential spectrum on weighted manifolds

abstract:
  We consider a complete noncompact smooth Riemannian manifold $M$ with a
weighted measure and the associated drifting Laplacian. We demonstrate that
whenever the $q$-Bakry-\'Emery Ricci tensor on $M$ is bounded below, then we
can obtain an upper bound estimate for the heat kernel of the drifting
Laplacian from the upper bound estimates of the heat kernels of the Laplacians
on a family of related warped product spaces. We apply these results to study
the essential spectrum of the drifting Laplacian on $M$.


title:
Landau problem on the ellipsoid, hyperboloid and paraboloid of
  revolution

abstract:
  We define the Landau problem on two-dimensional surfaces of revolution of the
second order: ellipsoid, hyperboloid and paraboloid. We start form the
two-center MICZ-Kepler system Hamiltonian and then making the reduction into
the various two-dimensional surfaces listed above we obtain the Hamiltonians of
the charged particle moving on the corresponding surface of revolution with the
magnetic filed conserving the symmetry of the two-dimensional surface(Landau
problem). For each case we figure out at which values of parameters the
qualitative character of the moving coincides with that of a free particle
moving on the save two-dimensional surface. For the case of finite trajectories
(ellipsoid) we construct also the action-angle variables.

categories: math-ph cond-mat.mes-hall hep-th math.MP


title: Generalized thermodynamics of an autonomous micro-engine

abstract:
  We analyze an autonomous micro-engine as a closed quantum mechanical system,
including the work it performs and the fuel it consumes. Our model system shows
by example that it is possible to transfer energy steadily and spontaneously
between fast and slow degrees of freedom, in analogy to the way combustion
engines convert chemical energy into work. Having shown this possibility, we
observe close analogies between the closed-system quantum dynamics of our
micro-engine and the First and Second Law of Thermodynamics. From these
analogies we deduce a generalized formulation of thermodynamics that remains
valid on the micro-scale.


title:
Analysis of subspace migration in the limited-view inverse scattering
  problems

abstract:
  In this paper, we analyze the subspace migration that occurs in limited-view
inverse scattering problems. Based on the structure of singular vectors
associated with the nonzero singular values of the multi-static response
matrix, we establish a relationship between the subspace migration imaging
function and Bessel functions of integer order of the first kind. The revealed
structure and numerical examples demonstrate why subspace migration is
applicable for the imaging of small scatterers in limited-view inverse
scattering problems.


title:
The coarse Baum-Connes conjecture for Busemann non-positively curved
  spaces

abstract:
  We prove that the coarse assembly maps for proper metric spaces which are
non-positively curved in the sense of Busemann are isomorphisms, where we do
not assume that the spaces are with bounded coarse geometry. Also it is shown
that we can calculate the coarse K-homology and the K-theory of the Roe algebra
by using the visual boundaries.


title: Composite Weak Bosons and Dark Matter

abstract:
  The weak bosons are bound states of two fermions and their antiparticles,
denoted as haplons. The confinement scale of the associated gauge group SU(2)
is of the order of 0.5 TeV. Besides the weak bosons there exist also new
bosons, an SU(2)-triplet and a singlet, with a mass of the order of 0.5 TeV.
The neutral singlet boson and its antiparticle are stable and provide the dark
matter in the universe.


title: Equivariant extensions of differential forms for non-compact Lie groups

abstract:
  Consider a manifold endowed with the action of a Lie group. We study the
relation between the cohomology of the Cartan complex and the equivariant
cohomology by using the equivariant De Rham complex developed by Getzler, and
we show that the cohomology of the Cartan complex lies on the 0-th row of the
second page of a spectral sequence converging to the equivariant cohomology. We
use this result to generalize a result of Witten on the equivalence of absence
of anomalies in gauge WZW actions on compact Lie groups to the existence of
equivariant extension of the WZW term, to the case on which the gauge group is
the special linear group with real coefficients.


title:
Book-keeping of Ion and Electron Currents in the Point Defect Model and
  Role of an Electron Channel at the metal/film Interface in Determining the
  Forms of the metal-film potential and the film-solution potential drops

abstract:
  In any consistent electrochemical systems model that addresses more than one
interface, the total current at the interfaces should be equal to one another
and to the current in the external circuit. The point defect model of Macdonald
and co-workers fails to recognize this basic requirement. Hence there is no
assurance that currents predicted by the PDM will be the same at the metal/film
and the film/solution interfaces. This deficiency is corrected in the present
work. Besides, The point defect model lacks a proper book-keeping of ion and
electron currents and in particular missed the role of a purely electron
channel (e-channel) at the metal/film interface [1]. In this work we describe
this book-keeping, include the e-channel and show how this affects the forms of
the metal-film and film-solution potential drops.


title: Total screening and finite range forces from ultra-massive scalar fields

abstract:
  Force between static point particles coupled to a classical ultra-massive
scalar field is calculated. The field potential is proportional to the modulus
of the field. It turns out that the force exactly vanishes when the distance
between the particles exceeds certain finite value. Moreover, each isolated
particle is surrounded by a compact cloud of the scalar field that completely
screens its scalar charge.


title:
AC susceptibility study of superconducting YBa2Cu3O7:Agx bulk composites
  (x = 0.0-0.20): The role of intra and inter granular coupling

abstract:
  We report the effect of silver addition on superconducting performance of
bulk YBCO (YBa2Cu3O7) superconductor. All the studied samples are prepared by
conventional solid-state reaction method. Rietveld fitted X-ray diffraction
data confirmed the single phase formation for all the studied samples. Detailed
AC susceptibility measurements as a function of driven AC amplitude (1Oe-17Oe)
of these samples revealed the enhancement of grains coupling with increasing Ag
content in YBCO+Agx composite system. 10wt% Ag added YBCO superconductors
exhibited the optimum inter granular coupling. The Scanning Electron Microscopy
(SEM) observations indicate an increase in the grains connectivity in terms of
narrow grain boundaries for doped samples. The average grain size is found to
increase with Ag doping. It is concluded that limited addition of Ag in bulk
YBCO superconductor significantly improves the grains coupling and as result
optimum superconducting performance. YBCO+Ag composites could prove to be
potential candidates for bulk superconducting applications of the studied high
Tc system.


title:
FIR-detected Lyman break galaxies at z ~ 3: Dust attenuation and dust
  correction factors at high redshift

abstract:
  Lyman break galaxies (LBGs) represent one of the kinds of star-forming
galaxies that are found in the high-redshift universe. The detection of LBGs in
the FIR domain can provide very important clues on their dust attenuation and
total SFR, allowing a more detailed study than those performed so far. In this
work we explore the FIR emission of a sample of 16 LBGs at z ~ 3 in the
GOODS-North and GOODS-South fields that are individually detected in PACS-100um
or PACS-160um. These detections demonstrate the possibility of measuring the
dust emission of LBGs at high redshift. We find that PACS-detected LBGs at z ~
3 are highly obscured galaxies which belong to the Ultra luminous IR galaxies
or Hyper luminous IR galaxies class. Their total SFR cannot be recovered with
the dust attenuation factors obtained from their UV continuum slope or their
SED-derived dust attenuation employing Bruzual & Charlot (2003) templates. Both
methods underestimate the results for most of the galaxies. Comparing with a
sample of PACS-detected LBGs at z ~ 1 we find evidences that the FIR emission
of LBGs might have changed with redshift in the sense that the dustiest LBGs
found at z ~ 3 have more prominent FIR emission, are dustier for a given UV
slope, and have higher SFR for a given stellar mass than the dustiest LBGs
found at z ~ 1.


title: Dynamic hysteretic features of the Ising-type thin films

abstract:
  In order to elucidate the important characteristics of hysteretic response,
such as types of the frequency dispersion curves, the decay of hysteresis loop
area, the mechanism of domain nucleation and/or growth in the dynamic process,
etc., a followup examination after the original work has been presented. The
additive complementary treatment is essentially based on the results of recent
preprint arXiv:1302.2727 concerning the effect of oscillatory perturbation on
the surface enhancement phenomenon in magnetic thin films. Throughout the
analysis, the best appropriate parameter values have been chosen since they
would allow us to achieve striking results. The topology of the response for
different layer indices in two regimes of modified surface exchange has been
particularly emphasized.


title:
Solid-solid collapse transition in a two dimensional model molecular
  system

abstract:
  Solid-solid collapse transition in open framework structures is ubiquitous in
nature. The real difficulty in understanding detailed microscopic aspects of
such transitions in molecular systems arises from the interplay between
different energy and length scales involved in molecular systems, often
mediated through a solvent. In this work we employ Monte Carlo (MC) simulations
to study the collapse transition in a model molecular system interacting via
both isotropic as well as anisotropic interactions having different length and
energy scales. The model we use is known as Mercedes-Benz (MB) which for a
specific set of parameters sustains three solid phases: honeycomb, oblique and
triangular. In order to study the temperature induced collapse transition, we
start with a metastable honeycomb solid and induce transition by heating. High
density oblique solid so formed has two characteristic length scales
corresponding to isotropic and anisotropic parts of interaction potential.
Contrary to the common believe and classical nucleation theory, interestingly,
we find linear strip-like nucleating clusters having significantly different
order and average coordination number than the bulk stable phase. In the early
stage of growth, the cluster grows as linear strip followed by branched and
ring-like strips. The geometry of growing cluster is a consequence of the
delicate balance between two types of interactions which enables the dominance
of stabilizing energy over the destabilizing surface energy. The nuclei of
stable oblique phase are wetted by intermediate order particles which minimizes
the surface free energy. We observe different pathways for pressure and
temperature induced transitions.


title: Flat-containing and shift-blocking sets in $F_2^r$

abstract:
  For non-negative integers $r\ge d$, how small can a subset $C\subset F_2^r$
be, given that for any $v\in F_2^r$ there is a $d$-flat passing through $v$ and
contained in $C\cup\{v\}$? Equivalently, how large can a subset $B\subset
F_2^r$ be, given that for any $v\in F_2^r$ there is a linear $d$-subspace not
blocked non-trivially by the translate $B+v$? A number of lower and upper
bounds are obtained.


title: Large spin-orbit coupling in carbon nanotubes

abstract:
  It has recently been recognized that the strong spin-orbit interaction
present in solids can lead to new phenomena, such as materials with non-trivial
topological order. Although the atomic spin-orbit coupling in carbon is weak,
the spin-orbit coupling in carbon nanotubes can be significant due to their
curved surface. Previous works have reported spin-orbit couplings in reasonable
agreement with theory, and this coupling strength has formed the basis of a
large number of theoretical proposals. Here we report a spin-orbit coupling in
three carbon nanotube devices that is an order of magnitude larger than
measured before. We find a zero-field spin splitting of up to 3.4 meV,
corresponding to a built-in effective magnetic field of 29 T aligned along the
nanotube axis. While the origin of the large spin-orbit coupling is not
explained by existing theories, its strength is promising for applications of
the spin-orbit interaction in carbon nanotubes devices.


title:
Inhomogeneous Navier-Stokes equations in the half-space, with only
  bounded density

abstract:
  In this paper, we establish the global existence of small solutions to the
inhomogeneous Navier-Stokes system in the half-space. The initial density only
has to be bounded and close enough to a positive constant, and the initial
velocity belongs to some critical Besov space. With a little bit more
regularity for the initial velocity, those solutions are proved to be unique.
In the last section of the paper, our results are partially extended to the
bounded domain case.


title:
ASAS Photometry of ROSAT Sources. II.New Variables from the ASAS North
  Survey

abstract:
  We present a catalog of 307 optical counterparts of the bright ROSAT X-ray
sources, identified with the ASAS North survey data and showing periodic
brightness variations. They all have declination north of -25 deg. Other data
available from the literature for the listed stars are also included. All the
tabulated stars are new variables, except for 13 previously known, for which
the revised values of periods are given.


title: Noise-induced phase transitions in neuronal networks

abstract:
  Using an exactly solvable cortical model of a neuronal network, we show that,
by increasing the intensity of shot noise (flow of random spikes bombarding
neurons), the network undergoes first- and second-order non-equilibrium phase
transitions. We study the nature of the transitions, bursts and avalanches of
neuronal activity. Saddle-node and supercritical Hopf bifurcations are the
mechanisms of emergence of sustained network oscillations. We show that the
network stimulated by shot noise behaves similar to the Morris-Lecar model of a
biological neuron stimulated by an applied current.

categories: physics.bio-ph cond-mat.dis-nn cond-mat.stat-mech q-bio.NC


title:
Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in
  a quantum kagome antiferromagnet

abstract:
  We report an electron spin resonance investigation of the geometrically
frustrated spin-1/2 kagome antiferromagnet vesignieite,
BaCu$_3$V$_2$O$_8$(OH)$_2$. Analysis of the line widths and line shifts
indicates the dominance of in-plane Dzyaloshinsky-Moriya anisotropy that is
proposed to suppress strongly quantum spin fluctuations and thus to promote
long-range ordering rather than a spin-liquid state. We also evidence an
enhanced spin-phonon contribution that might originate from a lattice
instability and discuss the origin of a low-temperature mismatch between
intrinsic and bulk susceptibility in terms of local inhomogeneity.


title: Using INTEGRAL/SPI to study the Sun

abstract:
  Solar energetic particle (SEP) events are a prime opportunity to probe
astrophysical particle acceleration by combining in-situ measurements of
particles in space with remote sensing of the hard X-ray (HXR) and \gamma-ray
emitting particles in the solar atmosphere. For the space environment SEPs are
among the biggest hazards, particularly for spacecraft and human exploration of
the solar system. Unfortunately our current understanding of the acceleration
and transport of SEPs is weak. With the increasing onset of the space age it is
vitally important that we increase our knowledge of the physical mechanisms
related to SEPs. In this direction, the SEPServer project aims at building an
on-line server that will provide the space research community with SEP data and
related observations of solar electromagnetic emission. INTEGRAL/SPI acquires
observations from many X-ray/\gamma-ray flares associated with SEP events. To
make this data accessible for SEP studies we have undertaken a major effort to
specify the solar observing conditionS of INTEGRAL through Monte-Carlo
simulations of its BGO-detector response for several flares associated with
selected SEP events.


title:
A noise independent method of measuring sky location and chirp mass of
  gravitational waves single sources, using non-simultaneously timing of
  pulsars

abstract:
  We propose a new method to measure parameters of SMBHBs as individual
resolvable evolving single GWs sources, using the timing data of three or more
non-simultaneous pulsars. These parameters include the sky position of the
SMBHB and a chirp mass-red shift combination M_c(1+z). This method requires
both the Earth term and the pulsar terms observed in the power spectra of
timing residuals. The method takes only the frequencies values, thus the
accuracy of parameters estimation is not dependent with SNR nor the form of
timing noises. We applied our method to simulated timing data of three pulsars
to check its validity, the GWs sources location can be constrained with an
accuracy \Delta\Omega~800deg^2, the chirp mass can be determined with a
relative error of ~50%. Our method works better than previous method, when the
size of PTA is small and the SNR of individual pulsar is low, which is likely
the case of near future. In case of large array and how SNR in far future, our
method can provide good prior parameters distribution for Bayesian inference.


title:
Schellbach-style Formulae for the Derousseau-Pampuch Generalizations of
  the Malfatti Circles

abstract:
  It is known that there exist 32 triplets of circles such that each circle is
tangent to the other two circles and to two of the sides of the triangle or
their extensions. We provide formulae to obtain the radii of the circles for
each of the 32 triplets from the side lengths of the reference triangle by
means of trigonometric or hyperbolic functions.


title:
The design of high-speed data transmission method for a small nuclear
  physics DAQ system

abstract:
  A large number of data need to be transmitted in high-speed between Field
Programmable Gate Array (FPGA) and Advanced RISC Machines 11 micro-controller
(ARM11) when we design a small data acquisition (DAQ) system for nuclear
experiments. However, it is a complex problem to beat the target. In this
paper, we will introduce a method which can realize the high-speed data
transmission. By this way, FPGA is designed to acquire massive data from
Front-end electronics (FEE) and send it to ARM11, which will transmit the data
to other computer through the TCP/IP protocol. This paper mainly introduces the
interface design of the high-speed transmission between FPGA and ARM11, the
transmission logic of FPGA and the driver program of ARM11. The research shows
that the maximal transmission speed between FPGA and ARM11 by this way can
reach 50MB/s theoretically, while in nuclear physics experiment, the system can
acquire data with the speed of 2.2MB/s.


title:
Relativistic fluctuating hydrodynamics with memory functions and colored
  noises

abstract:
  Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is
formulated by putting an emphasis on non-linearity and causality. As a
consequence of causality, dissipative currents become dynamical variables and
noises appeared in an integral form of constitutive equations should be colored
ones from fluctuation-dissipation relations. Nevertheless noises turn out to be
white ones in its differential form when noises are assumed to be Gaussian. The
obtained ifferential equations are very useful in numerical implementation of
relativistic fluctuating hydrodynamics.


title:
RX J1301.9+2747: A Highly Variable Seyfert Galaxy with Extremely Soft
  X-ray Emission

abstract:
  In this paper we present a temporal and spectral analysis of X-ray data from
the XMM and Chandra observations of the ultrasoft and variable Seyfert galaxy
RX J1301.9+2747. In both observations the source clearly displays two distinct
states in the X-ray band, a long quiescent state and a short flare (or
eruptive) state which differs in count rates by a factor of 5--7. The
transition from quiescent to flare state occurs in 1--2 ks. We have observed
that the quiescent state spectrum is unprecedentedly steep with a photon index
Gamma~7.1, and the spectrum of the flare state is flatter with Gamma~4.4.
X-rays above 2 keV were not significantly detected in either state. In the
quiescent state, the spectrum appears to be dominated by a black body component
of temperature about ~30--40 eV, which is comparable to the expected maximum
effective temperature from the inner accretion disk. The quiescent state
however, requires an additional steep power-law, presumably arising from the
Comptonization by transient heated electrons. Optical spectrum from the Sloan
Digital Sky Survey shows Seyfert-like narrow lines for RX J1301.9+2747, while
the HST imaging reveals a central point source for the object. In order to
precisely determine the hard X-ray component, future longer X-ray observations
are required. This will help constrain the accretion disk model for RX
J1301.9+2747, and shed new light into the characteristics of the corona and
accretion flows around black holes.


title: Phases of many flavors QCD : Lattice results

abstract:
  This note is based on our recent results on QCD with varying number of
flavors of fundamental fermions. Topics include unusual, strong dynamics in the
preconformal, confining phase, the physics of the conformal window and the role
of ab-initio lattice simulations in establishing our current knowledge of the
phases of many flavor QCD


title:
Team Games Optimality Conditions of Distributed Stochastic Differential
  Decision Systems with Decentralized Noisy Information Structures

abstract:
  We consider a team game reward, and we derive a stochastic Pontryagin's
maximum principle for distributed stochastic differential systems with
decentralized noisy information structures. Our methodology utilizes the semi
martingale representation theorem, variational methods, and backward stochastic
differential equations. Furthermore, we derive necessary and sufficient
optimality conditions that characterize team and person-by-person optimality of
decentralized strategies.
  Finally, we apply the stochastic maximum principle to several examples from
the application areas of communications, filtering and control.


title: Making the most of Taylor expansion and imaginary chemical potential

abstract:
  We present preliminary results for the curvature of the pseudocritical line
and susceptibilities in Nf = 2 + 1 flavor QCD. The computations are carried out
on lattice sizes of 16x16x16x4, at matching parameters of early work of the
Bielefeld group. Emphasis is placed on the control of systematic errors, by
cross-validating results obtained by use of the Taylor expansion and
measurements at imaginary chemical potential. To this end, we generalize the
magnetic equation of state to the analysis of the number density, and we extend
it to imaginary values of the chemical potential.


title: Multiple outflows in the planetary nebula NGC 6058

abstract:
  We present narrow-band [O III]lambda5007 and H-alpha images, as well as
long-slit high-resolution echelle spectra of the planetary nebula NGC 6058. Our
data reveal that NGC 6058 is a multipolar planetary nebula of about ~45 arcsec
in extent and formed by four bipolar outflows that are oriented at different
position angles. Assuming homologous expansion for all the structures, and a
distance of 3.5 kpc, we obtain polar velocities around ~68 km s^-1 for three of
them. The estimated kinematical ages suggest that the three oldest outflows
have been ejected in intervals of ~ 1100 and ~ 400 yr during which, the
ejection axis has changes its orientation by ~ 60 degrees and ~ 40 degrees,
respectively. Although a inner ring-like structure is suggested by the direct
images, its kinematics shows that no equatorial ring or toroid exists in the
nebula. At the contrary, the long-slit spectra reveal that the ring-like
structure corresponds to a fourth outflow that is oriented almost perpendicular
to the other three. This fourth outflow is the youngest one and appears to be
interacting with the other three, creating a protruding zone that sweeps
material in a region almost perpendicular to the major axes of the oldest
outflows. This structure also presents two bright arcuate regions along the
same direction of the older outflows, and at opposite sides from the central
star. From our model, we suggest that NGC 6058 could be anintermediate
evolutionary stage between starfish planetary nebulae and multipolar planetary
nebula with apparent equatorial lobes.


title:
A polytime complexity analyser for Probabilistic Polynomial Time over
  imperative stack programs

abstract:
  We present iSAPP (Imperative Static Analyser for Probabilistic Polynomial
Time), a complexity verifier tool that is sound and extensionally complete for
the Probabilistic Polynomial Time (PP) complexity class. iSAPP works on an
imperative programming language for stack machines. The certificate of
polynomiality can be built in polytime, with respect to the number of stacks
used.


title:
Transport of dipolar Bose-Einstein condensates in a one-dimensional
  optical lattice

abstract:
  We show that magnetic dipolar interactions can stabilize superfluidity in
atomic gases but the dipole alignment direction required to achieve this
varies, depending on whether the flow is oscillatory or continuous. If a
condensate is made to oscillate through a lattice, damping of the oscillations
can be reduced by aligning the dipoles perpendicular to the direction of
motion. However, if a lattice is driven continuously through the condensate,
superfluid behavior is best preserved when the dipoles are aligned parallel to
the direction of motion. We explain these results in terms of the formation of
topological excitations and tunnel barrier heights between lattice sites.


title:
Exploring the three flavor effects with future superbeams using liquid
  argon detectors

abstract:
  Recent measurement of a moderately large value of theta13 signifies an
important breakthrough in establishing the standard three flavor oscillation
picture of neutrinos. It has provided an opportunity to explore the
sub-dominant three flavor effects in present and future long-baseline
experiments. In this paper, we perform a comparative study of the physics reach
of two future superbeam facilities, LBNE and LBNO in their first phases of run,
to resolve the issues of neutrino mass hierarchy, octant of theta23, and
leptonic CP violation. We also find that the sensitivity of these future
facilities can be improved significantly by adding the projected data from T2K
and NOvA. Stand-alone LBNO setup with a 10 kt detector has a mass hierarchy
discovery reach of more than 7 sigma, for the lowest allowed value of
sin^2theta23(true) = 0.34. This result is valid for any choice of true deltaCP
and hierarchy. LBNE10, in combination with T2K and NOvA, can achieve 3 sigma
hierarchy discrimination for any choice of deltaCP, sin^2theta23, and
hierarchy. The same combination can provide a 3 sigma octant resolution for
sin^2theta23(true) leq 0.44 or for sin^2theta23(true) geq 0.58 for all values
of deltaCP(true). LBNO can give similar results with 10 kt detector mass. In
their first phases, both LBNE10 and LBNO with 20 kt detector can establish
leptonic CP violation for around 50% values of true deltaCP at 2 sigma
confidence level. In case of LBNE10, CP coverage at 3 sigma can be enhanced
from 3% to 43% by combining T2K and NOvA data, assuming sin^2theta23(true) =
0.5. For LBNO setup, CP violation discovery at 3 sigma is possible for 46%
values of true deltaCP if we add the data from T2K and NOvA.


title:
Jan Tinbergen's legacy for economic networks: from the gravity model to
  quantum statistics

abstract:
  Jan Tinbergen, the first recipient of the Nobel Memorial Prize in Economics
in 1969, obtained his PhD in physics at the University of Leiden under the
supervision of Paul Ehrenfest in 1929. Among many achievements as an economist
after his training as a physicist, Tinbergen proposed the so-called Gravity
Model of international trade. The model predicts that the intensity of trade
between two countries is described by a formula similar to Newton's law of
gravitation, where mass is replaced by Gross Domestic Product. Since
Tinbergen's proposal, the Gravity Model has become the standard model of
non-zero trade flows in macroeconomics. However, its intrinsic limitation is
the prediction of a completely connected network, which fails to explain the
observed intricate topology of international trade. Recent network models
overcome this limitation by describing the real network as a member of a
maximum-entropy statistical ensemble. The resulting expressions are formally
analogous to quantum statistics: the international trade network is found to
closely follow the Fermi-Dirac statistics in its purely binary topology, and
the recently proposed mixed Bose-Fermi statistics in its full (binary plus
weighted) structure. This seemingly esoteric result is actually a simple effect
of the heterogeneity of world countries, that imposes strong structural
constraints on the network. Our discussion highlights similarities and
differences between macroeconomics and statistical-physics approaches to
economic networks.

categories: q-fin.GN cond-mat.dis-nn physics.data-an physics.hist-ph physics.soc-ph


title: Variations on Birkhoff's theorem

abstract:
  The relation between the expanding universe and local vacuum solutions, such
as that for the Solar System, is crucially mediated by Birkhoff's theorem. Here
we consider how that relation works, and give generalizations of Birkhoff's
theorem when there are geometric and matter and perturbations. The issue of to
what degree dark matter might influence the solar system emerges as a
significant question.


title:
Experimental demonstrations of high-Q superconducting coplanar waveguide
  resonators

abstract:
  We designed and successfully fabricated an absorption-type of superconducting
coplanar waveguide (CPW) resonators. The resonators are made from a Niobium
film (about 160 nm thick) on a high-resistance Si substrate, and each resonator
is fabricated as a meandered quarter-wavelength transmission line (one end
shorts to the ground and another end is capacitively coupled to a through
feedline). With a vector network analyzer we measured the transmissions of the
applied microwave through the resonators at ultra-low temperature (e.g., at 20
mK), and found that their loaded quality factors are significantly high, i.e.,
up to 10^6. With the temperature increases slowly from the base temperature
(i.e., 20 mK), we observed the resonance frequencies of the resonators are blue
shifted and the quality factors are lowered slightly. In principle, this type
of CPW-device can integrate a series of resonators with a common feedline,
making it a promising candidate of either the data bus for coupling the distant
solid-state qubits or the sensitive detector of single photons.


title: Charmless weak $B_s$ decays in the relativistic quark model

abstract:
  The form factors of the weak $B_s$ transitions to the ground state and
orbitally excited strange mesons are calculated in the framework of the
QCD-motivated relativistic quark model based on the quasipotential approach.
These form factors are expressed through the overlap integrals of meson wave
functions found in their mass spectrum evaluations. The momentum dependence of
the form factors is determined in the whole accessible kinematical range
without any additional assumptions and extrapolations. Relativistic effects,
including the wave function transformation from the rest to a moving reference
frame as well as contributions of the intermediate negative-energy states, are
consistently taken into account. The calculated form factors are used for the
evaluation of the charmless semileptonic decay rates and two-body nonleptonic
$B_s$ decays in the factorization approximation. The obtained results are
confronted with previous predictions and available experimental data.


title:
Performances Evaluation of Enhanced Basic Time Space Priority combined
  with an AQM

abstract:
  Active Queue Management(AQM) is an efficient tool in the network to avoid
saturation of the queue by warning the sender that the queue is almost full to
reduce its speed before the queue is full. The buffer management schemes focus
on space management, in the other hand scheduling priorities (focusing on time
management) attempt to guarantee acceptable delay boundaries to applications
for which it is important that delay is bounded. Combined mechanisms (time and
space management) are possible and enable networks to improve the perceived
quality for multimedia traffic at the end users. The key idea in this paper is
to study the performance of a mechanism combining an AQM with a time-space
priority scheme applied to multimedia flows transmitted to an end user in HSDPA
network. The studied queue is shared by Real Time and Non Real Time packets. We
propose a mathematical model using Poisson and MMPP processes to model the
arrival of packets in the system. The performance parameters are analytically
deducted for the Combined EB-TSP and compared to the case of Simple EB-TSP.
Numerical results obtained show the positive impact of the AQM added to the
EB-TSP on the performance parameters of NRT packets compared to the Simple
EB-TSP.


title:
Controlling a Nanowire Spin-Orbit Qubit via Electric-Dipole Spin
  Resonance

abstract:
  A semiconductor nanowire quantum dot with strong spin-orbit coupling (SOC)
can be used to achieve a spin-orbit qubit. In contrast to a spin qubit, the
spin-orbit qubit can respond to an external ac electric field, an effect called
electric-dipole spin resonance. Here we develop a theory that can apply in the
strong SOC regime. We find that there is an optimal SOC strength
\eta_{opt}=\sqrt{2}/2, where the Rabi frequency induced by the ac electric
field becomes maximal. Also, we show that both the level spacing and the Rabi
frequency of the spin-orbit qubit have periodic responses to the direction of
the external static magnetic field. These responses can be used to determine
the SOC in the nanowire.


title:
Effect of the Feedback Function on the QoS in a Time Space Priority with
  Active Queue Management

abstract:
  The basic idea behind an active queue management (AQM) is to sense the
congestion level within the network and inform the packet sources about, so
that they reduce their sending rate. In literature a lot off mechanisms of AQM
are studied. But there are not used in the context of the DiffServ architecture
where different types of packet with different requirements of QoS share the
same link. In this paper, we study an access control mechanism for RT and NRT
packets arriving in a buffer implemented at an end user in HSDPA. The mechanism
uses thresholds to mange access in the buffer and gives access priority to RT
packets. In order to control the arrival rate of the NRT packets in the buffer
an active queue management is used. We study the effect of the feedback
function on the QoS parameters for both kinds of packets .Mathematical
description and analytical results are given, and numerical results show that
the proposed function achieves higher QoS for the NRT packets in the system.


title:
Effect of Mobility and Traffic Models on the Energy Consumption in MANET
  Routing Protocols

abstract:
  A Mobile Ad hoc Network (MANET) is a group of mobile nodes that can be set up
randomly and formed without the need of any existing network infrastructure or
centralized administration. In this network the mobile devices are dependent on
battery power, it is important to minimize their energy consumption. Also
storage capacity and power are severely limited. In situations such as
emergency rescue, military actions, and scientific field missions, energy
conservation plays an even more important role which is critical to the success
of the tasks performed by the network. Therefore, energy conservation should be
considered carefully when designing or evaluating ad hoc routing protocols. In
this paper we concentrated on the energy consumption issues of existing routing
protocols in MANET under various mobility models and whose connections
communicate in a particular traffic model (CBR, Exponential, and Pareto). This
paper describes a performance comparison of the AODV, DSR and DSDV routing
protocols in term of energy consumed due to packet type (routing/MAC) during
transmission and reception of control packets. The mobility models used in this
work are Random Waypoint, Manhattan Grid and Reference Point Group. Simulations
have been carried out using NS-2 and its associated tools for animation and
analysis of results.


title: The Removal of Numerical Drift from Scientific Models

abstract:
  Computer programs often behave differently under different compilers or in
different computing environments. Relative debugging is a collection of
techniques by which these differences are analysed. Differences may arise
because of different interpretations of errors in the code, because of bugs in
the compilers or because of numerical drift, and all of these were observed in
the present study. Numerical drift arises when small and acceptable differences
in values computed by different systems are integrated, so that the results
drift apart. This is well understood and need not degrade the validity of the
program results. Coding errors and compiler bugs may degrade the results and
should be removed. This paper describes a technique for the comparison of two
program runs which removes numerical drift and therefore exposes coding and
compiler errors. The procedure is highly automated and requires very little
intervention by the user. The technique is applied to the Weather Research and
Forecasting model, the most widely used weather and climate modelling code.


title: Centered Hardy-Littlewood maximal function on hyperbolic spaces, $p > 1$

abstract:
  In this paper, we prove $L^p$ ($p > 1$) dimension free bounds for the
centered Hardy-Littlewood maximal function on real or complex hyperbolic
spaces.


title: Superimposed Oscillations in Brane Inflation

abstract:
  In canonical scalar field inflation, the Starobinsky model (with a linear
potential but discontinuous slope) is remarkable in that though slow-roll is
violated, both the power-spectrum and bi-spectrum can be calculated exactly
analytically. The two-point function is characterised by different power on
large and small scales, and a burst of small amplitude superimposed
oscillations in between. Motivated by string-theory models with stuck branes,
we extend this analysis to Dirac Born Infeld (DBI) inflation, for which
generalised slow-roll is violated at the discontinuity and a rapid variation in
the speed of sound c_s occurs. In an attempt to characterise the effect of
non-linear kinetic terms on the oscillatory features of the primordial
power-spectrum, we show that the resulting power spectrum has a shape and
features which differ significantly from those of the standard Starobinsky
model. In particular, the power-spectrum now takes very similar scale invariant
values on large and small scales, while on intermediate scales it is
characterised by much larger amplitude and higher frequency superimposed
oscillations. We also show that calculating non-Gaussianities in this model is
a complicated but interesting task since all terms in the cubic action now
contribute. Investigating whether the superimposed oscillations could fit to
the Planck Cosmic Microwave Background (CMB) data (for instance by explaining
the large scale Planck anomalies) with, at the same time, small
non-Gaussianities remains an intriguing and open possibility.


title: The Brazilian Tunable Filter Imager for the SOAR telescope

abstract:
  This paper presents a new Tunable Filter Instrument for the SOAR telescope.
The Brazilian Tunable Filter Imager (BTFI) is a versatile, new technology,
tunable optical imager to be used in seeing-limited mode and at higher spatial
fidelity using the SAM Ground-Layer Adaptive Optics facility at the SOAR
telescope. The instrument opens important new science capabilities for the SOAR
community, from studies of the centers of nearby galaxies and the insterstellar
medium to statistical cosmological investigations. The BTFI takes advantage of
three new technologies. The imaging Bragg Tunable Filter concept utilizes
Volume Phase Holographic Gratings in a double-pass configuration, as a tunable
filter, while a new Fabry-Perot (FP) concept involves technologies which allow
a single FP etalon to act over a large range of interference orders and
spectral resolutions. Both technologies will be in the same instrument.
Spectral resolutions spanning the range between 25 and 30,000 can be achieved
through the use of iBTF at low resolution and scanning FPs beyond R ~2,000. The
third new technologies in BTFI is the use of EMCCDs for rapid and cyclically
wavelength scanning thus mitigating the damaging effect of atmospheric
variability through data acquisition. An additional important feature of the
instrument is that it has two optical channels which allow for the simultaneous
recording of the narrow-band, filtered image with the remaining (complementary)
broad-band light. This avoids the uncertainties inherent in tunable filter
imaging using a single detector. The system was designed to supply tunable
filter imaging with a field-of-view of 3 arcmin on a side, sampled at 0.12" for
direct Nasmyth seeing-limited area spectroscopy and for SAM's visitor
instrument port for GLAO-fed area spectroscopy. The instrument has seen first
light, as a SOAR visitor instrument. It is now in comissioning phase.


title: A_1-regularity and boundedness of Calderon-Zygmund operators

abstract:
  The Coifman-Fefferman inequality implies quite easily that a Calderon-Zygmund
operator $T$ acts boundedly in a Banach lattice $X$ on $\mathbb R^n$ if the
Hardy-Littlewood maximal operator $M$ is bounded in both $X$ and $X'$. We
discuss this phenomenon in some detail and establish a converse result under
the assumption that $X$ is $p$-convex and $q$-concave with some $1 < p, q <
\infty$ and satisfies the Fatou property: if a linear operator $T$ is bounded
in $X$ and $T$ is nondegenerate in a certain sense (for example, if $T$ is a
Riesz transform) then $M$ has to be bounded in both $X$ and $X'$.


title:
Extension of hidden markov model for recognizing large vocabulary of
  sign language

abstract:
  Computers still have a long way to go before they can interact with users in
a truly natural fashion. From a users perspective, the most natural way to
interact with a computer would be through a speech and gesture interface.
Although speech recognition has made significant advances in the past ten
years, gesture recognition has been lagging behind. Sign Languages (SL) are the
most accomplished forms of gestural communication. Therefore, their automatic
analysis is a real challenge, which is interestingly implied to their lexical
and syntactic organization levels. Statements dealing with sign language occupy
a significant interest in the Automatic Natural Language Processing (ANLP)
domain. In this work, we are dealing with sign language recognition, in
particular of French Sign Language (FSL). FSL has its own specificities, such
as the simultaneity of several parameters, the important role of the facial
expression or movement and the use of space for the proper utterance
organization. Unlike speech recognition, Frensh sign language (FSL) events
occur both sequentially and simultaneously. Thus, the computational processing
of FSL is too complex than the spoken languages. We present a novel approach
based on HMM to reduce the recognition complexity.


title:
Relating the spectrum of cardiac signals to the spatiotemporal dynamics
  of cardiac sources

abstract:
  An increasing number of studies use the spectrum of cardiac signals for
analyzing the spatiotemporal dynamics of complex cardiac arrhythmias. However,
the relationship between the spectrum of cardiac signals and the spatiotemporal
dynamics of the underlying cardiac sources remains to date unclear. In this
paper, we derive a mathematical expression relating the spectrum of cardiac
signals to the spatiotemporal dynamics of cardiac sources and the measurement
characteristics of the lead systems. Then, by using analytical methods and
computer simulations we analyze the spectrum of cardiac signals measured by
idealized lead systems during correlated and uncorrelated spatiotemporal
dynamics. Our results show that lead systems can have distorting effects on the
spectral envelope of cardiac signals, which depend on the spatial resolution of
the lead systems and on the degree of spatiotemporal correlation of the
underlying cardiac sources. In addition to this, our results indicate that the
spectral features that do not depend on the spectral envelope, such as the
dominant frequency, behave robustly against different choices of lead systems.


title: Current Status and Future Potential of Nuclide Discoveries

abstract:
  Presently about 3000 different nuclei are known with about another 3000-4000
predicted to exist. A review of the discovery of the nuclei, the present status
and the possibilities for future discoveries are presented.


title:
Web Services Discovery and Recommendation Based on Information
  Extraction and Symbolic Reputation

abstract:
  This paper shows that the problem of web services representation is crucial
and analyzes the various factors that influence on it. It presents the
traditional representation of web services considering traditional textual
descriptions based on the information contained in WSDL files. Unfortunately,
textual web services descriptions are dirty and need significant cleaning to
keep only useful information. To deal with this problem, we introduce rules
based text tagging method, which allows filtering web service description to
keep only significant information. A new representation based on such filtered
data is then introduced. Many web services have empty descriptions. Also, we
consider web services representations based on the WSDL file structure (types,
attributes, etc.). Alternatively, we introduce a new representation called
symbolic reputation, which is computed from relationships between web services.
The impact of the use of these representations on web service discovery and
recommendation is studied and discussed in the experimentation using real world
web services.


title:
Robust and efficient configurational molecular sampling via Langevin
  Dynamics

abstract:
  A wide variety of numerical methods are evaluated and compared for solving
the stochastic differential equations encountered in molecular dynamics. The
methods are based on the application of deterministic impulses, drifts, and
Brownian motions in some combination. The Baker-Campbell-Hausdorff expansion is
used to study sampling accuracy following recent work by the authors, which
allows determination of the stepsize-dependent bias in configurational
averaging. For harmonic oscillators, configurational averaging is exact for
certain schemes, which may result in improved performance in the modelling of
biomolecules where bond stretches play a prominent role. For general systems,
an optimal method can be identified that has very low bias compared to
alternatives. In simulations of the alanine dipeptide reported here (both
solvated and unsolvated), higher accuracy is obtained without loss of
computational efficiency, while allowing large timestep, and with no impairment
of the conformational exploration rate (the effective diffusion rate observed
in simulation). The optimal scheme is a uniformly better performing algorithm
for molecular sampling, with overall efficiency improvements of 25% or more in
practical timestep size achievable in vacuum, and with reductions in the error
of configurational averages of a factor of ten or more attainable in solvated
simulations at large timestep.

categories: physics.comp-ph cond-mat.stat-mech math.NA physics.chem-ph


title: Entanglement-enhanced detection of single-photon scattering events

abstract:
  The ability to detect the interaction of light and matter at the
single-particle level is becoming increasingly important for many areas of
science and technology. The absorption or emission of a photon on a narrow
transition of a trapped ion can be detected with near unit probability, thereby
enabling the realization of ultra-precise ion clocks and quantum information
processing applications. Extending this sensitivity to broad transitions is
challenging due to the difficulty of detecting the rapid photon scattering
events in this case. Here, we demonstrate a technique to detect the scattering
of a single photon on a broad optical transition with high sensitivity. Our
approach is to use an entangled state to amplify the tiny momentum kick an ion
receives upon scattering a photon. The method should find applications in
spectroscopy of atomic and molecular ions and quantum information processing.


title: Google as God? Opportunities and Risks of the Information Age

abstract:
  If God did not exist - people would invent one. The development of human
civilization requires mechanisms promoting cooperation and social order. One of
these mechanisms is based on the idea that everything we do is seen and judged
by God - bad deeds will be punished, while good ones will be rewarded. The
Information Age has now fueled the dream that God-like omniscience and
omnipotence can be created by man.


title:
Gamma-ray emission from proton-proton interactions in hot accretion
  flows

abstract:
  We present a model of gamma-ray emission through neutral pion production and
decay in two-temperature accretion flows around supermassive black holes. We
refine previous studies of such a hadronic gamma-ray emission by taking into
account (1) relativistic effects in the photon transfer and (2) absorption of
gamma-ray photons in the radiation field of the flow. We use a fully general
relativistic description of both the radiative and hydrodynamic processes,
which allows us to study the dependence on the black hole spin. The spin value
strongly affects the gamma-ray emissivity within ~10 gravitational radii. The
central regions of flows with the total luminosities L < 0.001 of the Eddington
luminosity are mostly transparent to photons with energies below 10 GeV,
permitting investigation of the effects of space-time metric. For such L, an
observational upper limit on the gamma-ray (0.1-10 GeV) to X-ray (2-10 keV)
luminosity ratio of L_{0.1-10 GeV}/L_{2-10 keV} << 0.1 can rule out rapid
rotation of the black hole; on the other hand, a measurement of L_{0.1-10
GeV}/L_{2-10 keV} ~ 0.1 cannot be regarded as the evidence of rapid rotation,
as such a ratio can also result from a flat radial profile of gamma-ray
emissivity (which would occur for nonthermal acceleration of protons in the
whole body of the flow). At L > 0.01 of the Eddington luminosity, the gamma-ray
emission from the innermost region is strongly absorbed and the observed
gamma-rays do not carry information on the value of the black hole spin. We
note that if the X-ray emission observed in Centaurus A comes from an accretion
flow, the hadronic gamma-ray emission from the flow should contribute
significantly to the MeV/GeV emission observed from the core of this object,
unless it contains a slowly rotating black hole and protons in the flow are
thermal.


title:
Cognitive Radio Engine Model Utilizing Soft Fusion Based Genetic
  Algorithm For Cooperative Spectrum Optimization

abstract:
  Cognitive radio (CR) is to detect the presence of primary users (PUs)
reliably in order to reduce the interference to licensed communications.
Genetic algorithms (GAs) are well suited for CR optimization problems to
increase efficiency of bandwidth utilization by manipulating its unused
portions of the apparent spectrum. In this paper, a binary genetic algorithm
(BGA)-based soft fusion (SF) scheme for cooperative spectrum sensing in
cognitive radio network is proposed to improve detection performance and
bandwidth utilization. The BGA-based optimization method is implemented at the
fusion centre of a linear SF scheme to optimize the weighting coefficients
vector to maximize global probability of detection performance. Simulation
results and analyses confirm that the proposed scheme meets real time
requirements of cognitive radio spectrum sensing and it outperforms
conventional natural deflection coefficient- (NDC-), modified deflection
coefficient- (MDC-), maximal ratio combining- (MRC-) and equal gain combining-
(EGC-) based SDF schemes as well as the OR-rule based hard decision fusion
(HDF). The propose BGA scheme also converges fast and achieves the optimum
performance, which means that BGA-based method is efficient and quite stable
also.


title:
Differences and similarities between fundamental and adjoint matters in
  SU(N) gauge theories

abstract:
  We investigate differences and similarities between fundamental fermions and
adjoint fermions in SU(N) gauge theories. The gauge theory with fundamental
fermions possesses ZN symmetry only in the limit of infinite fermion mass,
whereas the gauge theory with adjoint fermions does have the symmetry for any
fermion mass. The flavor-dependent twisted boundary condition (FTBC) is then
imposed on fundamental fermions so that the theory with fundamental fermions
can possess ZN symmetry for any fermion mass. We show similarities between FTBC
fundamental fermions and adjoint fermions, using the Polyakov-loop extended
Nambu--Jona-Lasinio (PNJL) model. In the mean-field level, the PNJL model with
FTBC fundamental fermions has dynamics similar to the PNJL model with adjoint
fermions for the confinement/deconfinement transition related to ZN symmetry.
The chiral property is somewhat different between the two models, but there is
a simple relation between chiral condensates in the two models. As an
interesting high-energy phenomenon, a possibility of the gauge symmetry
breaking is studied for FTBC fundamental fermions.


title: One-point functions in finite volume/temperature: a case study

abstract:
  We consider finite volume (or equivalently, finite temperature) expectation
values of local operators in integrable quantum field theories using a
combination of numerical and analytical approaches. It is shown that the
truncated conformal space approach, when supplemented with a recently proposed
renormalization group, can be sufficiently extended to the low-energy regime
that it can be matched with high precision by the low-temperature expansion
proposed by Leclair and Mussardo. Besides verifying the consistency of the two
descriptions, their combination leads to an evaluation of expectation values
which is valid to a very high precision for all volume/temperature scales. As a
side result of the investigation, we also discuss some unexpected singularities
in the framework recently proposed by Pozsgay and Tak\'acs for the description
of matrix elements of local operators in finite volume, and show that while
some of these singularities are resolved by the inclusion of the class of
exponential finite size corrections known as \mu-terms, these latter
corrections themselves lead to the appearance of new singularities. We point
out that a fully consistent description of finite volume matrix elements is
expected to be free of singularities, and therefore a more complete and
systematic understanding of exponential finite size corrections is necessary.


title:
On the interspike-intervals of periodically-driven integrate-and-fire
  models

abstract:
  We analyze properties of the firing map, which iterations give information
about consecutive spikes, for periodically driven linear integrate-and-fire
models. By considering locally integrable (thus in general not continuous)
input functions, we generalize some results of other authors. In particular we
prove theorems concerning continuous dependence of the firing map on the input
in suitable function spaces. Using mathematical study of the displacement
sequence of an orientation preserving circle homeomorphism, we provide also a
complete description of the regularity properties of the sequence of
interspike-intervals and behaviour of the interspike-interval distribution. Our
results allow to explain some facts concerning this distribution observed
numerically by other authors. These theoretical findings are illustrated by
carefully chosen computational examples.


title:
Derivation of capture cross section from quasielastic excitation
  function

abstract:
  The relationship between the quasielastic excitation function and the capture
cross section is derived. The quasielastic data is shown to be a useful tool to
extract the capture cross sections and the angular momenta of the captured
systems for the reactions $^{16}$O+$^{144,154}$Sm,$^{208}$Pb,
$^{20}$Ne+$^{208}$Pb, and $^{32}$S+$^{90,96}$Zr at near and above the Coulomb
barrier energies.


title: Worm Algorithm for Abelian Gauge-Higgs Models

abstract:
  We present the surface worm algorithm (SWA) which is a generalization of the
Prokof'ev Svistunov worm algorithm to perform the simulation of the dual
representation (surfaces and loops) of Abelian gauge-Higgs models on a lattice.
We compare the SWA to a local Metropolis update in the dual representation and
show that the SWA outperforms the local update for a wide range of parameters.


title:
Infrared Behavior of Scalar Condensates in Effective Holographic
  Theories

abstract:
  We investigate the infrared behavior of the spectrum of scalar-dressed,
asymptotically Anti de Sitter (AdS) black brane (BB) solutions of effective
holographic models. These solutions describe scalar condensates in the dual
field theories. We show that for zero charge density the ground state of these
BBs must be degenerate with the AdS vacuum, must satisfy conformal boundary
conditions for the scalar field and it is isolated from the continuous part of
the spectrum. When a finite charge density is switched on, the ground state is
not anymore isolated and the degeneracy is removed. Depending on the coupling
functions, the new ground state may possibly be energetically preferred with
respect to the extremal Reissner-Nordstrom AdS BB. We derive several properties
of BBs near extremality and at finite temperature. As a check and illustration
of our results we derive and discuss several analytic and numerical, BB
solutions of Einstein-scalar-Maxwell AdS gravity with different coupling
functions and different potentials. We also discuss how our results can be used
for understanding holographic quantum critical points, in particular their
stability and the associated quantum phase transitions leading to
superconductivity or hyperscaling violation.


title: Channel Coding and Source Coding with Increased Partial Side Information

abstract:
  Let (S1,i, S2,i), distributed according to i.i.d p(s1, s2), i = 1, 2, . . .
be a memoryless, correlated partial side information sequence. In this work we
study channel coding and source coding problems where the partial side
information (S1, S2) is available at the encoder and the decoder, respectively,
and, additionally, either the encoder's or the decoder's side information is
increased by a limited-rate description of the other's partial side
information. We derive six special cases of channel coding and source coding
problems and we characterize the capacity and the rate-distortion functions for
the different cases. We present a duality between the channel capacity and the
rate-distortion cases we study. In order to find numerical solutions for our
channel capacity and rate-distortion problems, we use the Blahut-Arimoto
algorithm and convex optimization tools. As a byproduct of our work, we found a
tight lower bound on the Wyner-Ziv solution by formulating its Lagrange dual as
a geometric program. Previous results in the literature provide a geometric
programming formulation that is only a lower bound, but not necessarily tight.
Finally, we provide several examples corresponding to the channel capacity and
the rate-distortion cases we presented.


title:
Periodic Solutions of Generalized Schr\"odinger Equations on Cayley
  Trees

abstract:
  In this paper we define a discrete generalized Laplacian with arbitrary real
power on a Cayley tree. This Laplacian is used to define a discrete generalized
Schr\"odinger operator on the tree. The case discrete fractional Schr\"odinger
operators with index $0 < \alpha < 2$ is considered in detail, and periodic
solutions of the corresponding fractional Schr\"odinger equations are
described. This periodicity depends on a subgroup of a group representation of
the Cayley tree. For any subgroup of finite index we give a criterion for
eigenvalues of the Schr\"odinger operator under which periodic solutions exist.
For a normal subgroup of infinite index we describe a wide class of periodic
solutions.


title: Semi-cyclic holey group divisible designs with block size three

abstract:
  In this paper we discuss the existence problem for a semi-cyclic holey group
divisible design of type (n,m^t) with block size 3, which is denoted by a
3-SCHGDD of type (n,m^t). When n=3, a 3-SCHGDD of type (3,m^t) is equivalent to
a (3,mt;m)-cyclic holey difference matrix, denoted by a (3,mt;m)-CHDM. It is
shown that there is a (3,mt;m)-CHDM if and only if (t-1)m\equiv 0 (mod 2) and
t\geq 3 with the exception of m\equiv 0 (mod 2) and t=3. When n\geq 4, the case
of t odd is considered. It is established that if t\equiv 1 (mod 2) and n\geq
4, then there exists a 3-SCHGDD of type (n,m^t) if and only if t\geq 3 and
(t-1)n(n-1)m\equiv 0 (mod 6) with some possible exceptions of n=6 and 8. The
main results in this paper have been used to construct optimal two-dimensional
optical orthogonal codes with weight 3 and different auto- and
cross-correlation constraints by the authors recently.


title:
On the iterations of certain maps $x \mapsto k \cdot(x+x^{-1})$ over
  finite fields of odd characteristic

abstract:
  In this paper we describe the dynamics of certain rational maps of the form
$k \cdot (x+x^{-1})$ over finite fields of odd characteristic.


title:
Existence and uniqueness of Arrow-Debreu equilibria with consumptions in
  $\mathbf{L}^0_+$

abstract:
  We consider an economy where agents' consumption sets are given by the cone
$\mathbf{L}^0_+$ of non-negative measurable functions and whose preferences are
defined by additive utilities satisfying the Inada conditions. We extend to
this setting the results in \citet{Dana:93} on the existence and uniqueness of
Arrow-Debreu equilibria. In the case of existence, our conditions are necessary
and sufficient.


title: Scaling the Indian Buffet Process via Submodular Maximization

abstract:
  Inference for latent feature models is inherently difficult as the inference
space grows exponentially with the size of the input data and number of latent
features. In this work, we use Kurihara & Welling (2008)'s
maximization-expectation framework to perform approximate MAP inference for
linear-Gaussian latent feature models with an Indian Buffet Process (IBP)
prior. This formulation yields a submodular function of the features that
corresponds to a lower bound on the model evidence. By adding a constant to
this function, we obtain a nonnegative submodular function that can be
maximized via a greedy algorithm that obtains at least a one-third
approximation to the optimal solution. Our inference method scales linearly
with the size of the input data, and we show the efficacy of our method on the
largest datasets currently analyzed using an IBP model.


title:
Flow equation of functional renormalization group for three-body
  scattering problems

abstract:
  Functional renormalization group (FRG) is applied to the three-body
scattering problem in the two-component fermionic system with an attractive
contact interaction. We establish a new and correct flow equation on the basis
of FRG and show that our flow equation is consistent with integral equations
obtained from the Dyson-Schwinger equation. In particular, the relation of our
flow equation and the Skornyakov and Ter-Martirosyan equation for the
atom-dimer scattering is made clear.


title:
$\gamma$-ray linear polarization measurements and $(g_{9/2})^{-3}$
  neutron alignment in $^{91}$Ru

abstract:
  Linear polarization measurements have been performed for $\gamma$-rays in
$^{91}$Ru produced with the $^{58}$Ni($^{36}$Ar, $2p1n$$\gamma$)$^{91}$Ru
reaction at a beam energy of 111 MeV. The EXOGAM Ge clover array has been used
to measure the $\gamma$-$\gamma$ coincidences, $\gamma$-ray linear polarization
and $\gamma$-ray angular distributions. The polarization sensitivity of the
EXOGAM clover detectors acting as Compton polarimeters has been determined in
the energy range 0.3$-$1.3 MeV. Several transitions have been observed for the
first time. Measurements of linear polarization and angular distribution have
led to the firm assignments of spin differences and parity of high-spin states
in $^{91}$Ru. More specifically, calculations using a semi-empirical shell
model were performed to understand the structures of the first and second
(21/2$^{+}$) and (17/2$^{+}$) levels. The results are in good agreement with
the experimental data, supporting the interpretation of the non yrast
(21/2$^{+}$) and (17/2$^{+}$) states in terms of the $J_{\rm max}$ and $J_{\rm
max}-2$ members of the seniority-three $\nu(g_{9/2})^{-3}$ multiplet.


title: Galerkin approximations for the stochastic Burgers equation

abstract:
  Existence and uniqueness for semilinear stochastic evolution equations with
additive noise by means of finite dimensional Galerkin approximations is
established and the convergence rate of the Galerkin approximations to the
solution of the stochastic evolution equation is estimated. These abstract
results are applied to several examples of stochastic partial differential
equations (SPDEs) of evolutionary type including a stochastic heat equation, a
stochastic reaction diffusion equation and a stochastic Burgers equation. The
estimated convergence rates are illustrated by numerical simulations. The main
novelty in this article is to estimate the difference of the finite dimensional
Galerkin approximations and of the solution of the infinite dimensional SPDE
uniformly in space, i.e., in the L^{\infty}-topology, instead of the usual
Hilbert space estimates in the L^2-topology, that were shown before.


title:
Uniqueness and Significance of Weak Solution of Non-perturbative
  Renormalization Group Equation to Analyze Dynamical Chiral Symmetry Breaking

abstract:
  We propose quite a new method of analyzing the dynamical chiral symmetry
breaking in gauge theories. Starting with the non-perturbative renormalization
group equation for the Wilsonian fermion potential, we define the weak solution
of it in order to mathematically authorize solutions with singularity. The weak
solution is obtained uniquely and it successfully predicts the physically
correct vacuum, chiral condensates, dynamical mass, through its
auto-convexizing power for the effective potential. Thus it works perfectly
even for the first order phase transition in the finite density QCD.


title: Resistance switching in oxides with inhomogeneous conductivity

abstract:
  Electric-field-induced resistance switching (RS) phenomena have been studied
for over 60 years in metal/dielectrics/metal structures. In these experiments a
wide range of dielectrics have been studied including binary transition metal
oxides, perovskite oxides, chalcogenides, carbon- and silicon-based materials,
as well as organic materials. RS phenomena can be used to store information and
offer an attractive performance, which encompasses fast switching speeds, high
scalability, and the desirable compatibility with Si-based
complementary-metal-oxide-semiconductor fabrication. This is promising for
nonvolatile memory technology, i.e. resistance random access memory (RRAM).
However, a comprehensive understanding of the underlying mechanism is still
lacking. This impedes a faster product development as well as an accurate
assessment of the device performance potential. Generally speaking, RS occurs
not in the entire dielectric but only a small, confined region, which results
from the local variation of conductivity in dielectrics. In this review, we
focus on the RS in oxides with such an inhomogeneous conductivity. According to
the origin of the conductivity inhomogeneity, the RS phenomena and their
working mechanism are reviewed by dividing them into two aspects: interface RS,
based on the change of contact resistance at metal/oxide interface due to the
change of Schottky barrier and interface chemical layer, and bulk RS, realized
by the formation, connection, and disconnection of conductive channels in the
oxides. Finally the current challenges of RS investigation and the potential
improvement of the RS performance for the nonvolatile memories are discussed.


title:
Graphene-coated holey metal films: tunable molecular sensing by surface
  plasmon resonance

abstract:
  We report on the enhancement of surface plasmon resonances in a holey
bidimensional grating of subwavelength size, drilled in a gold thin film coated
by a graphene sheet. The enhancement originates from the coupling between
charge carriers in graphene and gold surface plasmons. The main plasmon
resonance peak is located around 1.5 microns. A lower constraint on the
gold-induced doping concentration of graphene is specified and the interest of
this architecture for molecular sensing is also highlighted.


title: Rigid inner forms of real and p-adic groups

abstract:
  We define a new cohomology set for an affine algebraic group G and a
multiplicative finite central subgroup Z, both defined over a local field of
characteristic zero, which is an enlargement of the usual first Galois
cohomology set of G. We show how this set can be used to normalize the
Langlands-Shelstad endoscopic transfer factors and to give a conjectural
description of the internal structure and endoscopic transfer of L-packets for
arbitrary connected reductive groups that extends the well-known conjectural
description for quasi-split groups. In the real case, we show that this
description is correct using Shelstad's work.


title:
Probing the Rashba effect via the induced magnetization around a Kondo
  impurity

abstract:
  When a single magnetic adatom is deposited on a surface of a metal, it
affects the charge and spin texture of the electron gas surrounding it. The
screening of the local moment by conduction electrons gives rise to the Kondo
effect. Here we investigate the effect of the Rashba spin orbit coupling on the
local magnetization density of states (LMDOS) around a Cobalt impurity on a
Au(111) surface in a magnetic field. We show that the in-plane component of the
LMDOS is exclusively associated with the Rashba spin orbit interaction. This
observation can be experimentally exploited to confirm the presence of the
Rashba effect on surfaces, such as Au(111), by performing spin-polarized STM
measurements around the Kondo impurity.


title:
Second order classical perturbation theory for atom surface scattering:
  analysis of asymmetry in the angular distribution

abstract:
  A second order classical perturbation theory is developed and applied to
elastic atom corrugated surface scattering. The resulting theory accounts for
experimentally observed asymmetry in the final angular distributions. These
include qualitative features, such as reduction of the asymmetry with increased
incidence energy as well as asymmetry in the location of the rainbow peaks with
respect to the specular scattering angle. The theory is especially applicable
to "soft" corrugated potentials. Analytic expressions for the angular
distribution are derived for the exponential repulsive and Morse potential
models. The theory is implemented numerically to a simplified model of the
scattering of an Ar atom from a LiF(100) surface.


title:
The oscillator model for the Lie superalgebra sh(2|2) and Charlier
  polynomials

abstract:
  We investigate an algebraic model for the quantum oscillator based upon the
Lie superalgebra sh(2|2), known as the Heisenberg-Weyl superalgebra or "the
algebra of supersymmetric quantum mechanics", and its Fock representation. The
model offers some freedom in the choice of a position and a momentum operator,
leading to a free model parameter gamma. Using the technique of Jacobi
matrices, we determine the spectrum of the position operator, and show that its
wavefunctions are related to Charlier polynomials C_n with parameter gamma^2.
Some properties of these wavefunctions are discussed, as well as some other
properties of the current oscillator model.


title: Testing OPE for ghosts, gluons and $\alpha_s$

abstract:
  We present here our results on extracting Wilson coefficients from different
quantities such as ghost and gluon propagators which are calculated by means of
Lattice QCD. The results confirm the validity of our method for the calculation
of the strong coupling constant as well as allow to estimate the range of
momenta where OPE is applicable.


title:
Asymptotic high-energy behavior of hadronic total cross sections from
  lattice QCD

abstract:
  We will show how a universal and Froissart-like (i.e., of the kind "B log^2
s") hadron-hadron total cross section can emerge in QCD asymptotically at high
energy, finding indications for this behavior from the lattice. The functional
integral approach provides the natural setting for achieving this result, since
it encodes the energy dependence of hadronic scattering amplitudes in a single
elementary object, i.e., a proper correlation function of two Wilson loops.


title:
Temporal and spatial interference in molecular above-threshold
  ionization with elliptically polarized fields

abstract:
  We investigate direct above-threshold ionization in diatomic molecules, with
particular emphasis on how quantum interference is altered by a driving field
of non-vanishing ellipticity. This interference may be either temporal, i.e.,
related to ionization events occurring at different times, or spatial, i.e.,
related to the electron emission at different centers in the molecule.
Employing the strong-field approximation and saddle-point methods, we find
that, in general, for non-vanishing ellipticity, there will be a blurring of
the temporal and spatial interference patterns. The former blurring is caused
by the electron velocity component perpendicular to the major polarization
axis, while spatial interference is washed out as a consequence either of s-p
mixing, or of the temporal dependence of the ionization prefactor. Both types
of interference are analyzed in detail in terms of electron trajectories, and
specific conditions for which sharp fringes occur are provided.


title: Ferromagnetic spin correlations in a few-fermion system

abstract:
  We study the spin correlations of a few fermions in a quasi one-dimensional
trap. Exact diagonalization calculations demonstrate that repulsive
interactions between the two species drives ferromagnetic correlations. The
ejection probability of an atom provides an experimental probe of the spin
correlations. With more than five atoms trapped, the system approaches the
itinerant Stoner limit. Losses to Feshbach molecules are suppressed by the
discretization of energy levels when fewer than seven atoms are trapped.


title: Brans-Dicke theory and the emergence of \Lambda CDM model

abstract:
  The dynamics of the Brans-Dicke theory with a scalar field potential function
is investigated. We show that the system with a barotropic matter content can
be reduced to an autonomous three-dimensional dynamical system. For an
arbitrary potential function we found the values of the Brans-Dicke parameter
for which a global attractor in the phase space representing de Sitter state
exists. Using linearized solutions in the vicinity of this critical point we
show that the evolution of the Universe mimics the $\Lambda$CDM model. From the
recent Planck satellite data, we obtain constraints on the variability of the
effective gravitational coupling constant as well as the lower limit of the
mass of the Brans-Dicke scalar field at the de Sitter state.


title:
The onset of magnetism peaked around x=1/4 in optimally electron-doped
  LnFe(1-x)Ru(x)AsO(1-y)F(y) (Ln = La, Nd or Sm) superconductors

abstract:
  The appearance of static magnetism, nanoscopically coexisting with
superconductivity, is shown to be a general feature of optimally electron-doped
LnFe(1-x)Ru(x)AsO(1-y)F(y) superconductor (Ln - lanthanide ion) upon isovalent
substitution of Fe by Ru. The magnetic ordering temperature T_N and the
magnitude of the internal field display a dome-like dependence on x, peaked
around x=1/4, with higher T_N values for those materials characterized by a
larger z cell coordinate of As. Remarkably, the latter are also those with the
highest superconducting transition temperature (T_c) for x=0. The reduction of
T_c(x) is found to be significant in the x region of the phase diagram where
the static magnetism develops. Upon increasing the Ru content superconductivity
eventually disappears, but only at x=0.6.


title:
Qualitative behaviour of incompressible two-phase flows with phase
  transitions: The case of non-equal densities

abstract:
  Our study of a basic model for incompressible two-phase flows with phase
transitions consistent with thermodynamics in the case of constant but
non-equal densities of the phases, begun by the first two authors is continued.
We extend our well-posedness result to general geometries, study the stability
of the equilibria of the problem, and show that a solution which does not
develop singularities exists globally. If its limit set contains a stable
equilibrium it converges to this equilibrium as time goes to infinity, in the
natural state manifold for the problem in an Lp-setting.


title:
Magnetic Anisotropy of Single Mn Acceptors in GaAs in an External
  Magnetic Field

abstract:
  We investigate the effect of an external magnetic field on the physical
properties of the acceptor hole states associated with single Mn acceptors
placed near the (110) surface of GaAs. Crosssectional scanning tunneling
microscopy images of the acceptor local density of states (LDOS) show that the
strongly anisotropic hole wavefunction is not significantly affected by a
magnetic field up to 6 T. These experimental results are supported by
theoretical calculations based on a tightbinding model of Mn acceptors in GaAs.
For Mn acceptors on the (110) surface and the subsurfaces immediately
underneath, we find that an applied magnetic field modifies significantly the
magnetic anisotropy landscape. However the acceptor hole wavefunction is
strongly localized around the Mn and the LDOS is quite independent of the
direction of the Mn magnetic moment. On the other hand, for Mn acceptors placed
on deeper layers below the surface, the acceptor hole wavefunction is more
delocalized and the corresponding LDOS is much more sensitive on the direction
of the Mn magnetic moment. However the magnetic anisotropy energy for these
magnetic impurities is large (up to 15 meV), and a magnetic field of 10 T can
hardly change the landscape and rotate the direction of the Mn magnetic moment
away from its easy axis. We predict that substantially larger magnetic fields
are required to observe a significant field-dependence of the tunneling current
for impurities located several layers below the GaAs surface.


title:
Development of Monte Carlo configuration interaction: Natural orbitals
  and second-order perturbation theory

abstract:
  Approximate natural orbitals are investigated as a way to improve a Monte
Carlo configuration interaction (MCCI) calculation. We introduce a way to
approximate the natural orbitals in MCCI and test these and approximate natural
orbitals from MP2 and QCISD in MCCI calculations of single-point energies. The
efficiency and accuracy of approximate natural orbitals in MCCI potential curve
calculations for the double hydrogen dissociation of water, the dissociation of
carbon monoxide and the dissociation of the nitrogen molecule are then
considered in comparison with standard MCCI when using full configuration
interaction as a benchmark. We also use the method to produce a potential curve
for water in an aug-cc-pVTZ basis. A new way to quantify the accuracy of a
potential curve is put forward that takes into account all of the points and
that the curve can be shifted by a constant. We adapt a second-order
perturbation scheme to work with MCCI (MCCIPT2) and improve the efficiency of
the removal of duplicate states in the method. MCCIPT2 is tested in the
calculation of a potential curve for the dissociation of nitrogen using both
Slater determinants and configuration state functions.


title: Pesin theory and equilibrium measures on the interval

abstract:
  We use Pesin theory to study possible equilibrium measures for piecewise
monotone maps of the interval. The maps may have unbounded derivative.


title: Printed Circuit Board Metal Powder Filters for Low Electron Temperatures

abstract:
  We report the characterisation of printed circuit boards (PCB) metal powder
filters and their influence on the effective electron temperature which is as
low as 22 mK for a quantum dot in a silicon MOSFET structure in a dilution
refrigerator. We investigate the attenuation behaviour (10 MHz- 20 GHz) of
filter made of four metal powders with a grain size below 50 um. The
room-temperature attenuation of a stainless steel powder filter is more than 80
dB at frequencies above 1.5 GHz. In all metal powder filters the attenuation
increases with temperature. Compared to classical powder filters, the design
presented here is much less laborious to fabricate and specifically the copper
powder PCB-filters deliver an equal or even better performance than their
classical counterparts.


title: Principal ideal languages and synchronizing automata

abstract:
  We study ideal languages generated by a single word. We provide an algorithm
to construct a strongly connected synchronizing automaton for which such a
language serves as the language of synchronizing words. Also we present a
compact formula to calculate the syntactic complexity of this language.


title: Observation of Dirac cone warping and chirality effects in silicene

abstract:
  We performed low temperature scanning tunneling microscopy (STM) and
spectroscopy (STS) studies on the electronic properties of (R3xR3)R30{\deg}
phase of silicene on Ag(111) surface. We found the existence of Dirac Fermion
chirality through the observation of -1.5 and -1.0 power law decay of
quasiparticle interference (QPI) patterns. Moreover, in contrast to the
trigonal warping of Dirac cone in graphene, we found that the Dirac cone of
silicene is hexagonally warped, which is further confirmed by density
functional calculations and explained by the unique superstructure of silicene.
Our results demonstrate that the (R3xR3)R30{\deg} phase is an ideal system to
investigate the unique Dirac Fermion properties of silicene.


title: RSA Signature: Behind the Scenes

abstract:
  In this paper, we present a complete digital signature message stream, just
the way the RSA digital signature scheme does it. We will focus on the
operations with large numbers due to the fact that operating with large numbers
is the essence of RSA that cannot be understood by the usual illustrative
examples with small numbers.


title:
Neutron capture cross section of unstable 63Ni: implications for stellar
  nucleosynthesis

abstract:
  The $^{63}$Ni($n, \gamma$) cross section has been measured for the first time
at the neutron time-of-flight facility n\_TOF at CERN from thermal neutron
energies up to 200 keV. In total, capture kernels of 12 (new) resonances were
determined. Maxwellian Averaged Cross Sections were calculated for thermal
energies from kT = 5 keV to 100 keV with uncertainties around 20%. Stellar
model calculations for a 25 M$_\odot$ star show that the new data have a
significant effect on the $s$-process production of $^{63}$Cu, $^{64}$Ni, and
$^{64}$Zn in massive stars, allowing stronger constraints on the Cu yields from
explosive nucleosynthesis in the subsequent supernova.


title: On the anticyclotomic Iwasawa main conjecture for modular forms

abstract:
  We generalize the work of Bertolini and Darmon on the anticyclotomic main
conjecture for weight two forms to higher weight modular forms.


title:
A Matrix Framework for the Solution of ODEs: Initial-, Boundary-, and
  Inner-Value Problems

abstract:
  A matrix framework is presented for the solution of ODEs, including initial-,
boundary and inner-value problems. The framework enables the solution of the
ODEs for arbitrary nodes. There are four key issues involved in the formulation
of the framework: the use of a Lanczos process with complete
reorthogonalization for the synthesis of discrete orthonormal polynomials (DOP)
orthogonal over arbitrary nodes within the unit circle on the complex plane; a
consistent definition of a local differentiating matrix which implements a
uniform degree of approximation over the complete support --- this is
particularly important for initial and boundary value problems; a method of
computing a set of constraints as a constraining matrix and a method to
generate orthonormal admissible functions from the constraints and a DOP
matrix; the formulation of the solution to the ODEs as a least squares problem.
The computation of the solution is a direct matrix method. The worst case
maximum number of computations required to obtain the solution is known
a-priori. This makes the method, by definition, suitable for real-time
applications.
  The functionality of the framework is demonstrated using a selection of
initial value problems, Sturm-Liouville problems and a classical Engineering
boundary value problem. The framework is, however, generally formulated and is
applicable to countless differential equation problems.


title: A Secure Color Image Steganography In Transform Domain

abstract:
  Steganography is the art and science of covert communication. The secret
information can be concealed in content such as image, audio, or video. This
paper provides a novel image steganography technique to hide both image and key
in color cover image using Discrete Wavelet Transform (DWT) and Integer Wavelet
Transform (IWT). There is no visual difference between the stego image and the
cover image. The extracted image is also similar to the secret image. This is
proved by the high PSNR (Peak Signal to Noise Ratio), value for both stego and
extracted secret image. The results are compared with the results of similar
techniques and it is found that the proposed technique is simple and gives
better PSNR values than others.


title: Constrained total undiscounted continuous-time Markov decision processes

abstract:
  The present paper considers the constrained optimal control problem with
total undiscounted criteria for a continuous-time Markov decision process
(CTMDP) in Borel state and action spaces. Under the standard compactness and
continuity conditions, we show the existence of an optimal stationary policy
out of the class of general nonstationary ones. In the process, we justify the
reduction of the CTMDP model to a discrete-time Markov decision process (DTMDP)
model based on the studies of the undiscounted occupancy and occupation
measures. We allow that the controlled process is not necessarily absorbing,
and the transition rates are not necessarily separated from zero, and can be
arbitrarily unbounded; these features count for the main technical difficulties
in studying undiscounted CTMDP models.


title:
Carrier flow and nonequilibrium superconductivity in
  superconductor-based light-emitting diode

abstract:
  Superconductor-based light-emitting diode (superconductor-based LED) in
strong light-confinement regime are characterized as a superconductor-based
three-terminal device, and its transport properties are quantitatively
investigated. In the gate-controlled region, we confirm the realization of
new-type Josephson field effect transistor (JoFET) performance, where the
channel cross-sectional area of the junction is directly modulated by the gate
voltage. In the current-injected region, the superconducting critical current
of $\mu$A order in the Josephson junction is found to be modulated by the
steady current injection of pA order. This ultrahigh monitoring sensitivity of
the radiative recombination process can be explained by taking into account the
fact that the energy relaxation of the absorbed photons causes the conversion
of superconducting pairs to quasiparticles in the active layer. Using
quasiparticle density and superconducting pair density, we discuss the carrier
flows together with the non-equilibrium superconductovity in the active layer
and the superconducting electrodes, which take place for compensating the
conversion.


title:
Necessary conditions for the invariant measure of a random walk to be a
  sum of geometric terms

abstract:
  We consider the invariant measure of homogeneous random walks in the
quarter-plane. In particular, we consider measures that can be expressed as an
infinite sum of geometric terms. We present necessary conditions for the
invariant measure to be a sum of geometric terms. We demonstrate that, under a
mild regularity condition, each geometric term must individually satisfy the
balance equations in the interior of the state space. We show that the
geometric terms in an invariant measure must be the union of finitely many
pairwise-coupled sets of infinite cardinality. We further show that for the
invariant measure to be a sum of geometric terms, the random walk cannot have
transitions to the north, northeast or east. Finally, we show that for an
infinite weighted sum of geometric terms to be an invariant measure at least
one of the weights must be negative.


title:
Non-equilibrium fluctuations in frictional granular motor: experiments
  and kinetic theory

abstract:
  We report the study of a new experimental granular Brownian motor, inspired
to the one published in [Phys. Rev. Lett. 104, 248001 (2010)], but different in
some ingredients. As in that previous work, the motor is constituted by a
rotating pawl whose surfaces break the rotation-inversion symmetry through
alternated patches of different inelasticity, immersed in a gas of granular
particles. The main novelty of our experimental setup is in the orientation of
the main axis, which is parallel to the (vertical) direction of shaking of the
granular fluid, guaranteeing an isotropic distribution for the velocities of
colliding grains, characterized by a variance $v_0^2$. We also keep the
granular system diluted, in order to compare with Boltzmann-equation-based
kinetic theory. In agreement with theory, we observe for the first time the
crucial role of Coulomb friction which induces two main regimes: (i) rare
collisions (RC), with an average drift $\ < \omega \ > \sim v_0^3$, and (ii)
frequent collisions (FC), with $\ < \omega \ > \sim v_0$. We also study the
fluctuations of the angle spanned in a large time interval, $\Delta \theta$,
which in the FC regime is proportional to the work done upon the motor. We
observe that the Fluctuation Relation is satisfied with a slope which weakly
depends on the relative collision frequency.


title: Weak mixing directions in non-arithmetic Veech surfaces

abstract:
  We show that the billiard in a regular polygon is weak mixing in almost every
invariant surface, except in the trivial cases which give rise to lattices in
the plane (triangle, square and hexagon). More generally, we study the problem
of prevalence of weak mixing for the directional flow in an arbitrary
non-arithmetic Veech surface, and show that the Hausdorff dimension of the set
of non-weak mixing directions is not full. We also provide a necessary
condition, verified for instance by the Veech surface corresponding to the
billiard in the pentagon, for the set of non-weak mixing directions to have
positive Hausdorff dimension.


title: Dedekind sums with arguments near certain transcendental numbers

abstract:
  We study the asymptotic behaviour of the classical Dedekind sums $s(s_k/t_k)$
for the sequence of convergents $s_k/t_k$ $k\ge 0$, of the transcendental
number \BD
  \sum_{j=0}^\infty\frac {1}{b^{2^j}},\ b\ge 3. \ED In particular, we show that
there are infinitely many open intervals of constant length such that the
sequence $s(s_k/t_k)$ has infinitely many transcendental cluster points in each
interval.