title:
Modeling the frequency-dependence of radio beams for cone-dominant
  pulsars

abstract:
  Beam radii for cone-dominant pulsars follow a power-law relation with
frequency, $\vartheta = (\nu/\nu_0)^k+\vartheta_0$, which has not yet well
explained in previous works. We study this frequency dependence of beam radius
(FDB) for cone-dominant pulsars by using the curvature radiation mechanism.
Considering various density and energy distributions of particles in the pulsar
open field line region, we numerically simulate the emission intensity
distribution across emission height and rotation phase, and get integrated
profiles at different frequencies and obtain the FDB curves. For the density
model of a conal-like distribution, the simulated profiles always shrink to one
component at high frequencies. In the density model with two separated density
patches, the profiles always have two distinct components, and the power-law
indices $k$ are found to be in the range from -0.1 to -2.5, consistent with
observational results. Energy distributions of streaming particles have
significant influence on the frequency-dependence behavior. Radial energy decay
of particles are necessary to get proper $\vartheta_0$ in models. We conclude
that by using the curvature radiation mechanism, the observed frequency
dependence of beam radius for the cone-dominant pulsars can only be explained
by the emission model of particles in two density patches with a Gaussian
energy distribution and a radial energy loss.


title: Autler-Townes multiplet spectroscopy

abstract:
  We extend the concepts of the Autler-Townes doublet and triplet spectroscopy
to quartuplet, quintuplet and suggest linkages in sodium atom in which to
display these spectra. We explore the involved fundamental processes of quantum
interference of the corresponding spectroscopy by examining the Laplace
transform of the corresponding state-vector subjected to steady coherent
illumination in the rotating wave approximation and Weisskopf-Wigner treatment
of spontaneous emission as a simplest probability loss. In the quartuplet, four
fields interact appropriately and resonantly with the five-level atom. The
spectral profile of the single decaying level, upon interaction with three
other levels, splits into four destructively interfering dressed states
generating three dark lines in the spectrum. These dark lines divide the
spectrum into four spectral components (bright lines) whose widths are
effectively controlled by the relative strength of the laser fields and the
relative width of the single decaying level. We also extend the idea to the
higher-ordered multiplet spectroscopy by increasing the number of energy levels
of the atomic system, the number of laser fields to couple with the required
states. The apparent disadvantage of these schemes is the successive increase
in the number of laser fields required for the strongly interactive atomic
states in the complex atomic systems. However, these complexities are naturally
inherited and are the beauties of these atomic systems. They provide the
foundations for the basic mechanisms of the quantum interference involved in
the higher-ordered multiplet spectroscopy.


title: On groups with Property (T_lp)

abstract:
  Let p be a real number with 1<p and different from 2. We study Property
(T_lp) for a second countable locally compact group G. Property (T_lp) is a
weak version of Kazhdan's Property (T), defined in terms of the orthogonal
representations of G on the sequence space lp. We show that Property (T_lp) for
a totally disconnected group G is characterized by an isolation property of the
trivial representation from the quasi-regular representations associated to
open subgroups of G. Groups with Property (T_lp) share some important
properties with Kazhdan groups (compact generation, compact abelianization,
...). Simple algebraic groups over non-archimedean local fields as well as
automorphism groups of regular trees have Property (T_lp). In the case of
discrete groups, Property (T_lp) implies Lubotzky's Property tau and is implied
by Property (F) of Glasner and Monod. We show that an irreducible lattice in a
product of two locally compact groups G and H have Property (T_lp), whenever G
has Property (T) and H is connected and minimally almost periodic.


title: Sustainable high critical temperature in a hydrocarbon superconductor

abstract:
  Organic superconductors are unique materials with a crystal structure made
primarily of a complex carbon based network, an element associated directly
with life, which were postulated to have a high critical temperature, $T_{C}$,
even above room temperature, from a theoretical viewpoint. Pressure plays an
essential role in the study of superconductivity in such organic materials,
including creation of the first organic superconductor as well as the
achievement of the highest $T_{C}$ of 14.2 K for charge transfer salts and 38 K
for metal-doped fullerides. However, superconductivity in these organic systems
is only sustainable within a very narrow pressure range (a few GPa) and is
readily destroyed upon further compression. Here we report high-pressure
magnetic susceptibility and structure measurements on a newly discovered
superconductor, LaPhenanthrene. It is found that the application of pressure
not only significantly increases $T_{C}$ from its ambient-pressure value of 4.8
K to 12.3 K at 18.4 GPa but also stabilizes the high $T_{C}$ over the entire
pressure range (61 GPa) of the study. The evolution of $T_{C}$ with pressure is
closely correlated with the angle $\beta$ of the monoclinic unit cell. Both
$T_{C}$ and $\beta$ change sharply with increasing pressure initially but
remain constant above 40 GPa, indicating that molecule orientation is essential
to superconductivity. These behaviors can be understood in terms of pressure
tuning of electron correlations, illustrating the unconventional nature of
superconductivity in these hydrocarbon superconductors.


title:
Hardy-Littlewood-Sobolev Type Inequality and Stein-Wiess Type Inequality
  on Carnot Groups

abstract:
  A Stein-Weiss type inequality on Carnot groups is established by proving the
boundedness of an integral operator and the Hardy-Littlewood-Sobolev type
inequality on Carnot groups is also derived.


title:
An alternative realization of spontaneous emission cancelation via Field
  Generated Coherence (FGC)

abstract:
  In contrast to the traditional Spontaneous Generated Coherence (SGC), Field
Generated Coherence (FGC)-based atomic scheme is presented for spontaneous
emission cancellation. It is easy to achieve externally controllable
experimental trapping condition in this 4-field-driven 5-level atomic system.
Consequently, due to the FGC the decay from the central dressed
\emph{bare-energy-state} of the set of upper three closely spaced hyperfine
decaying states of Sodium D2 line is completely cancelled under the trapping
condition, exhibiting a novel phenomenon of a \textit{dark bare-energy-state}%
. Extending to an atomic system of simple probability loss, based on Sodium D1
line, the bright atom can also be darkened under its trapping condition,
representing another experimentally viable, novel and interesting phenomenon.


title:
The SUMO project I. A survey of multiple populations in globular
  clusters

abstract:
  We present a general overview and the first results of the SUMO project (a
SUrvey of Multiple pOpulations in Globular Clusters). The objective of this
survey is the study of multiple stellar populations in the largest sample of
globular clusters homogeneously analysed to date. To this aim we obtained high
signal-to-noise (S/N>50) photometry for main sequence stars with mass down to
~0.5 M_SUN in a large sample of clusters using both archival and proprietary U,
B, V, and I data from ground-based telescopes. In this paper, we focus on the
occurrence of multiple stellar populations in twenty three clusters. We have
defined a new photometric index cubi= (U-B)-(B-I), that turns out to be very
effective for identifying multiple sequences along the red giant branch (RGB).
We found that in the V-cubi diagram all clusters presented in this paper show
broadened or multimodal RGBs, with the presence of two or more components. We
found a direct connection with the chemical properties of different sequences,
that display different abundances of light elements (O, Na, C, N, and Al). The
cubi index is also a powerful tool to identify distinct sequences of stars
along the horizontal branch and, for the first time in the case of NGC104 (47
Tuc), along the asymptotic giant branch. Our results demonstrate that i) the
presence of more than two stellar populations is a common feature among
globular clusters, as already highlighted in previous work; ii) multiple
sequences with different chemical contents can be easily identified by using
standard Johnson photometry obtained with ground-based facilities; iii) in the
study of GC multiple stellar populations the cubi index is alternative to
spectroscopy, and has the advantage of larger statistics.


title: Gauss Sums on $GL_2(\mathbb{Z}/p^l\mathbb{Z})$

abstract:
  We determine explicitly the Gauss sums on the general linear group
$GL_2(\mathbb{Z}/p^l\mathbb{Z})$ for all irreducible characters, where $p$ is
an odd prime and $l$ is an integer > 1. While there are several studies of the
Gauss sums on finite algebraic groups defined over a finite field, this paper
seems to be the first one which determines the Gauss sums on a matrix group
over a finite ring.


title: On the geometry of conformal geodesics equations

abstract:
  We answer to the question whether a system of the 3rd order ODEs describes
geodesics of a conformal structure. We construct a functor from a category of
conformal geometries to a category of Cartan geometries associated to the 3rd
order ODEs systems. Explicit formulas which define the family of all equations
on conformal geodesics are given in the last section of the article.


title: Energy Consumption Rate based Stable Election Protocol (ECRSEP) for WSNs

abstract:
  In recent few yearsWireless Sensor Networks (WSNs) have seen an increased
interest in various applications like border field security, disaster
management and medical applications. So large number of sensor nodes are
deployed for such applications, which can work autonomously. Due to small power
batteries in WSNs, efficient utilization of battery power is an important
factor. Clustering is an efficient technique to extend life time of sensor
networks by reducing the energy consumption. In this paper, we propose a new
protocol; Energy Consumption Rate based Stable Election Protocol (ECRSEP). Our
CH selection scheme is based on the weighted election probabilities of each
node according to the Energy Consumption Rate (ECR) of each node. We compare
results of our proposed protocol with Low Energy Adaptive Clustering Hierarchy
(LEACH), Distributed Energy Efficient Clustering (DEEC), Stable Election
Protocol (SEP), and Enhanced SEP(ESEP). Our simulation results show that our
proposed protocol, ECRSEP outperforms all these protocols in terms of network
stability and network lifetime.


title:
Gravitational modulated reheating and non-Gaussianity in Supergravity
  R^2 inflation

abstract:
  Reheating after R^2 inflation proceeds through gravitational particle
production of conformally noninvariant fields. We argue that the nonvanishing
expectation value of flat directions generic in supersymmetric theories break
conformal invariance of the fields coupled to them in a position-dependent
manner due to quantum fluctuations. As a result modulated reheating can occur
after the supergravity R^2-inflation. The resultant curvature fluctuation is a
mixture of the one produced during inflation and that produced by modulated
reheating. The spectral index takes a value between n_s=0.960 and 0.983, the
nonlinearity parameter of the local-type non-Gaussianity can be f_nl\sim \pm
10, and the tensor-to-scalar ratio is r \le 4\times 10^{-3}.


title: Hagedorn wavepackets in time-frequency and phase space

abstract:
  The Hermite functions are an orthonormalbasis of the space of square
integrable functions with favourable approximation properties. Allowing for a
flexible localization in position and momentum, the Hagedorn wavepackets
generalize the Hermite functions also to several dimensions. Using Hagedorn's
raising and lowering operators, we derive explicit formulas and recurrence
relations for the Wigner and FBI transform of the wavepackets and show their
relation to the Laguerre polyomials.


title:
From the Boltzmann $H$-theorem to Perelman's $W$-entropy formula for the
  Ricci flow

abstract:
  In 1870s, L. Boltzmann proved the famous $H$-theorem for the Boltzmann
equation in the kinetic theory of gas and gave the statistical interpretation
of the thermodynamic entropy. In 2002, G. Perelman introduced the notion of
$W$-entropy and proved the $W$-entropy formula for the Ricci flow. This plays a
crucial role in the proof of the no local collapsing theorem and in the final
resolution of the Poincar\'e conjecture and Thurston's geometrization
conjecture. In our previous paper \cite{Li11a}, the author gave a probabilistic
interpretation of the $W$-entropy using the Boltzmann-Shannon-Nash entropy. In
this paper, we make some further efforts for a better understanding of the
mysterious $W$-entropy by comparing the $H$-theorem for the Boltzmann equation
and the Perelman $W$-entropy formula for the Ricci flow. We also suggest a way
to construct the "density of states" measure for which the Boltzmann
$H$-entropy is exactly the $W$-entropy for the Ricci flow.


title: Full-Duplex Cooperative Cognitive Radio with Transmit Imperfections

abstract:
  This paper studies the cooperation between a primary system and a cognitive
system in a cellular network where the cognitive base station (CBS) relays the
primary signal using amplify-and-forward or decode-and-forward protocols, and
in return it can transmit its own cognitive signal. While the commonly used
half-duplex (HD) assumption may render the cooperation less efficient due to
the two orthogonal channel phases employed, we propose that the CBS can work in
a full-duplex (FD) mode to improve the system rate region. The problem of
interest is to find the achievable primary-cognitive rate region by studying
the cognitive rate maximization problem. For both modes, we explicitly consider
the CBS transmit imperfections, which lead to the residual self-interference
associated with the FD operation mode. We propose closed-form solutions or
efficient algorithms to solve the problem when the related residual
interference power is non-scalable or scalable with the transmit power.
Furthermore, we propose a simple hybrid scheme to select the HD or FD mode
based on zero-forcing criterion, and provide insights on the impact of system
parameters. Numerical results illustrate significant performance improvement by
using the FD mode and the hybrid scheme.


title:
Adding a systematic uncertainty to the signal estimation in the
  on/off-zone measurements

abstract:
  The measurements with the background estimation from an off-zone are widely
used in astrophysics, accelerator physics and other areas. Usually, the
expected number of the background events in the off-zone and in the on-zone is
known with a limited precision. This fact should be included as a systematic
uncertainty. In this note an overview of the statistical methods which estimate
the range and the significance of the measured signal is done. The method which
includes a systematic uncertainty is developed for the on/off-zone measurements
and compared with other existing methods.


title:
The heat capacity of nitrogen chains in grooves of single-walled carbon
  nanotube bundles

abstract:
  The heat capacity of bundles of closed-cap single-walled carbon nanotubes
(SWNT) with one-dimensional chains of nitrogen molecules adsorbed in the
grooves has been first experimentally studied at temperatures from 2K to 40K
using an adiabatic calorimeter. The contribution of nitrogen C(T) to the total
heat capacity has been separated. In the region 2-8K the behaviour of the curve
C(T) is qualitatively similar to the theoretical prediction of the phonon heat
capacity of 1D chains of krypton (Kr) atoms localized in the grooves of SWNT
bundles. Below 3K the dependence C(T) is linear. Above 8K the dependence C(T)
becomes steeper in comparison with the case of Kr atoms. This behaviour of the
heat capacity C(T) is due to the contribution of the rotational degrees of
freedom of the nitrogen molecules.


title:
Multi-dimensional sparse structured signal approximation using split
  Bregman iterations

abstract:
  The paper focuses on the sparse approximation of signals using overcomplete
representations, such that it preserves the (prior) structure of
multi-dimensional signals. The underlying optimization problem is tackled using
a multi-dimensional split Bregman optimization approach. An extensive empirical
evaluation shows how the proposed approach compares to the state of the art
depending on the signal features.


title:
Study of e+e- --> omega pi0 --> pi0 pi0 gamma in the energy range
  1.05--2.00 GeV with SND

abstract:
  The cross section for the process e+e- --> omega pi0 --> pi0 pi0 gamma has
been measured in the energy range 1.05--2.00 GeV. The experiment has been
performed at the e+e- collider VEPP-2000 with the SND detector. The measured
e+e- --> omega pi0 cross section above 1.4 GeV is the most accurate to date.
Below 1.4 GeV our data are in good agreement with the previous SND and CMD-2
measurements. Data on the e+e- --> omega pi0 cross section are well described
by the VMD model with two excited rho-like states. From the measured cross
section we have extracted the gamma^* --> omega pi0 transition form factor. It
has been found that the VDM model cannot describe simultaneously our data and
data obtained from the omega --> pi0 mu+ mu- decay. We have also tested CVC
hypothesis comparing our results on the e+e- --> omega pi0 cross section with
data on the tau- --> omega pi- nu_{tau} decay.


title:
Application Set Approximation in Optimal Input Design for Model
  Predictive Control

abstract:
  This contribution considers one central aspect of experiment design in system
identification. When a control design is based on an estimated model, the
achievable performance is related to the quality of the estimate. The
degradation in control performance due to errors in the estimated model is
measured by an application cost function. In order to use an optimization based
input design method, a convex approximation of the set of models that atisfies
the control specification is required. The standard approach is to use a
quadratic approximation of the application cost function, where the main
computational effort is to find the corresponding Hessian matrix. Our main
contribution is an alternative approach for this problem, which uses the
structure of the underlying optimal control problem to considerably reduce the
computations needed to find the application set. This technique allows the use
of applications oriented input design for MPC on much more complex plants. The
approach is numerically evaluated on a distillation control problem.


title:
RadioAstron: An Earth-Space Radio Interferometer with a 350,000 km
  Baseline

abstract:
  RadioAstron is a Russian space based radio telescope with a ten meter dish in
a highly elliptical orbit with an eight to nine day period. RadioAstron works
together with Earth based radio telescopes to give interferometer baselines
extending up to 350,000 km, more than an order of magnitude improvement over
what is possible from earth based very long baseline interferometry. Operating
in four frequency bands, 1.3, 6, 18, and 92 cm, the corresponding resolutions
are 7, 35, 100, and 500 microarcseconds respectively in the four wavelength
bands.


title:
Herschel far-infrared observations of the Carina Nebula Complex. - III:
  Detailed cloud structure and feedback effects

abstract:
  The Carina Nebula complex (CNC) represents one of the most massive
star-forming regions in our Galaxy and shows strong feedback from the high
massive stars. We use our Herschel FIR observations to study the properties of
the clouds over the entire area of the CNC. The good angular resolution of the
Herschel maps corresponds to physical scales of 0.1 - 0.4 pc, and allows us to
analyze the small-scale structures of the clouds. The full extent of the CNC
was mapped with PACS and SPIRE from 70 to 500 micron. We determine temperatures
and column densities at each point in this maps by modeling the observed FIR
SEDs. We also derive a map showing the strength of the UV field. We investigate
the relation between the cloud properties and the spatial distribution of the
high-mass stars, and compute total cloud masses for different density
thresholds. Our Herschel maps resolve, for the first time, the small-scale
structure of the dense clouds. Several particularly interesting regions,
including the prominent pillars south of eta Car, are analyzed in detail. We
compare the cloud masses derived from the Herschel data to previous mass
estimates based on sub-mm and molecular line data. Our maps also reveal a
peculiar "wave"-like pattern in the northern part of the Carina Nebula.
Finally, we characterize two prominent cloud complexes at the periphery of our
Herschel maps, which are probably molecular clouds in the Galactic background.
We find that the density and temperature structure of the clouds in most parts
of the CNC is dominated by the strong feedback from the numerous massive stars,
rather than random turbulence. Comparing the cloud mass and the star formation
rate derived for the CNC to other Galactic star forming regions suggests that
the CNC is forming stars in an particularly efficient way. We suggest this to
be a consequence of triggered star formation by radiative cloud compression.


title: Droplet condensation and isoperimetric towers

abstract:
  We consider a variational problem in a planar convex domain, motivated by
statistical mechanics of crystal growth in a saturated solution. The minimizers
are constructed explicitly and are completely characterized.


title: On a Brownian excursion law, I: convolution representations

abstract:
  This paper studies Brownian motion subject to the occurrence of a minimal
length excursion below a given excursion level. The law of this process is
determined. The characterization is explicit and shows by a layer construction
how the law is built up over time in terms of the laws of sums of a given set
of independent random variables.


title: Optimizing atomic resolution of force microscopy in ambient conditions

abstract:
  Ambient operation poses a challenge to AFM because in contrast to operation
in vacuum or liquid environments, the cantilever dynamics change dramatically
from oscillating in air to oscillating in a hydration layer when probing the
sample. We demonstrate atomic resolution by imaging of the KBr(001) surface in
ambient conditions by frequency-modulation atomic force microscopy with a
cantilever based on a quartz tuning fork (qPlus sensor) and analyze both long-
and short-range contributions to the damping. The thickness of the hydration
layer increases with relative humidity, thus varying humidity enables us to
study the in uence of the hydration layer thickness on cantilever damping.
Starting with measurements of damping versus amplitude, we analyzed the signal
and the noise characteristics at the atomic scale. We then determined the
optimal amplitude which enabled us to acquire high-quality atomically resolved
images.


title: The Erd\H{o}s-Hajnal Conjecture for Paths and Antipaths

abstract:
  We prove that for every k, there exists $c_k>0$ such that every graph G on n
vertices not inducing a path $P_k$ and its complement contains a clique or a
stable set of size $n^{c_k}$.


title: Density of one-particle states for 2D electron gas in magnetic field

abstract:
  The density of states of a particle in a 2D area is independent both of the
energy and form of the area only at the region of large values of energy. If
energy is small, the density of states in the rectangular potential well
essentially depends on the form of the area. If the bottom of the potential
well has a potential relief, it can define the small eigenvalues as the
discrete levels. In this case, dimensions and form of the area would not have
any importance. If the conservation of zero value of the angular momentum is
taken into account, the effective one-particle Hamiltonian for the 2D electron
gas in the magnetic field in the circle is the Hamiltonian with the parabolic
potential and the reflecting bounds. It is supposed that in the square, the
Hamiltonian has the same view. The 2D density of states in the square can be
computed as the convolution of 1D densities. The density of one-particle states
for 2D electron gas in the magnetic field is obtained. It consists of three
regions. There is a discrete spectrum at the smallest energy. In the
intervening region the density of states is the sum of the piecewise continuous
function and the density of the discrete spectrum. At great energies, the
density of states is a continuous function. The Fermi energy dependence on the
magnetic field is obtained when the field is small and the Fermi energy is
located in the region of continuous spectrum. The Fermi energy has the
oscillating correction and in the average it increases proportionally to the
square of the magnetic induction. Total energy of electron gas in magnetic
field also oscillates and increases when the magnetic field increases
monotonously.


title: Cryogenic cooling with cryocooler on a rotating system

abstract:
  We developed a system that continuously maintains a cryocooler for long
periods on a rotating table. A cryostat that holds the cryocooler is set on the
table. A compressor is located on the ground and supplies high-purity (>
99.999%) and high-pressure (1.7 MPa) helium gas and electricity to the
cryocooler. The operation of the cryocooler and other instruments requires the
development of interface components between the ground and rotating table. A
combination of access holes at the center of the table and two rotary joints
allows simultaneous circulation of electricity and helium gas. The developed
system provides two innovative functions under the rotating condition; cooling
from room temperature and the maintenance of a cold condition for long periods.
We have confirmed these abilities as well as temperature stability under a
condition of continuous rotation at 20 revolutions per minute. The developed
system can be applied in various fields; e.g., in tests of Lorentz invariance,
searches for axion, radio astronomy and cosmology, and application of radar
systems. In particular, there is a plan to use this system for a radio
telescope observing cosmic microwave background radiation.


title: Tuning magnetic anisotropy in (001) oriented L10 (Fe1-xCux)55Pt45 films

abstract:
  We have achieved (001) oriented L10 (Fe1-xCux)55Pt45 thin films, with
magnetic anisotropy up to 3.6x10^7 erg/cm^3, using atomic-scale multilayer
sputtering and post annealing at 400 {\deg}C for 10 seconds. By fixing the Pt
concentration, structure and magnetic properties are systematically tuned by
the Cu addition. Increasing Cu content results in an increase in the tetragonal
distortion of the L10 phase, significant changes to the film microstructure,
and lowering of the saturation magnetization and anisotropy. The relatively
convenient synthesis conditions, along with the tunable magnetic properties,
make such materials highly desirable for future magnetic recording
technologies.


title:
Anisotropic quantum transport in monolayer graphene in the presence of
  Rashba spin-orbit coupling

abstract:
  We have studied spin-depend electron tunnelling through the Rashba barrier in
a monolayer graphene lattice. The transfer matrix method, have been employed to
obtain the spin dependent transport properties of the chiral particles. It is
shown that graphene sheets in presence of Rashba spin-orbit barrier will act as
an electron spin- inverter.


title: A generalized Beraha conjecture for non-planar graphs

abstract:
  We study the partition function Z_{G(nk,k)}(Q,v) of the Q-state Potts model
on the family of (non-planar) generalized Petersen graphs G(nk,k). We study its
zeros in the plane (Q,v) for 1<= k <= 7. We also consider two specializations
of Z_{G(nk,k)}, namely the chromatic polynomial P_{G(nk,k)}(Q) (corresponding
to v=-1), and the flow polynomial Phi_{G(nk,k)}(Q) (corresponding to v=-Q). In
these two cases, we study their zeros in the complex Q-plane for 1 <= k <= 7.
We pay special attention to the accumulation loci of the corresponding zeros
when n -> infinity. We observe that the Berker-Kadanoff phase that is present
in two-dimensional Potts models, also exists for non-planar recursive graphs.
Their qualitative features are the same; but the main difference is that the
role played by the Beraha numbers for planar graphs is now played by the
non-negative integers for non-planar graphs. At these integer values of Q,
there are massive eigenvalue cancellations, in the same way as the eigenvalue
cancellations that happen at the Beraha numbers for planar graphs.


title: How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?

abstract:
  An analogy of the Fokker-Planck equation (FPE) with the Schr\"odinger
equation allows us to use quantum mechanics technique to find the analytical
solution of the FPE in a number of cases. However, previous studies have been
limited to the Schr\"odinger potential with a discrete eigenvalue spectrum.
Here, we will show how this approach can be also applied to a mixed eigenvalue
spectrum with bounded and free states. We solve the FPE with boundaries located
at x=\pm L/2 and take the limit L\rightarrow\infty, considering the examples
with constant Schr\"{o}dinger potential and with P\"{o}schl-Teller potential.
An oversimplified approach was proposed earlier by M.T. Araujo and E. Drigo
Filho. A detailed investigation of the two examples shows that the correct
solution, obtained in this paper, is consistent with the expected Fokker-Planck
dynamics.


title: Stabilizing matter and gauge fields localized on walls

abstract:
  Both non-Abelian gauge fields and minimally interacting massless matter
fields are localized on a domain wall in the five-dimensional spacetime.
Field-dependent gauge coupling naturally gives a position-dependent coupling to
localize non-Abelian gauge fields on the domain wall. An economical field
content allows us to eliminate a moduli for a instability, and to demonstrate
the positivity of the position-dependent coupling in the entire moduli space.
Effective Lagrangian similar to the chiral Lagrangian is found with a new
feature of different coupling strengths for adjoint and singlet matter that
depend on the width of the domain wall.


title: On the Longest Paths and the Diameter in Random Apollonian Networks

abstract:
  We consider the following iterative construction of a random planar
triangulation. Start with a triangle embedded in the plane. In each step,
choose a bounded face uniformly at random, add a vertex inside that face and
join it to the vertices of the face. After n-3 steps, we obtain a random
triangulated plane graph with n vertices, which is called a Random Apollonian
Network (RAN). We show that asymptotically almost surely (a.a.s.) every path in
a RAN has length o(n), refuting a conjecture of Frieze and Tsourakakis. We also
show that a RAN always has a path of length (2n-5)^{log 2/log 3}, and that the
expected length of its longest path is Omega(n^0.88). Finally, we prove that
a.a.s. the diameter of a RAN is asymptotic to c log n, where c \approx 1.668 is
the solution of an explicit equation.


title: Magneto-optics of monolayer and bilayer graphene

abstract:
  The optical conductivity of graphene and bilayer graphene in quantizing
magnetic fields is studied. Both dynamical conductivities, longitudinal and
Hall's, are analytically evaluated. The conductivity peaks are explained in
terms of electron transitions. Correspondences between the transition
frequencies and the magneto-optical features are established using the
theoretical results. The main optical transitions obey the selection rule with
$\Delta n=1$ for the Landau number $n$. The Faraday rotation and light
transmission in the quantizing magnetic fields are calculated. The effects of
temperatures and magnetic fields on the chemical potential are considered.
\pacs{71.20.Nr, 78.20.Ci, 78.20.Bh}


title: Second order scheme for scalar conservation law with discontinuous flux

abstract:
  Burger et al.in \cite{karlsen-1} proposed a flux TVD (FTVD) second order
scheme by using a new non local limiter algorithm for conservation laws with
discontinuous flux modeling clarifier thickener units. In this work we show
that their idea of constructing FTVD second order schemes also can be used to
construct second order schemes satisfying (A,B)-entropy condition for the
scalar conservation law with discontinuous flux with proper modification at the
interface. We present numerical experiments to show the superiority of the
second order schemes over the monotone first order schemes. We show further
from numerical experiments that solutions from these schemes are comparable
with the second order schemes obtained from minimod limiter.


title: Boundary regular fixed points in Loewner theory

abstract:
  We characterize regular fixed points of evolution families in terms of
analytical properties of the associated Herglotz vector fields and geometrical
properties of the associated Loewner chains. We present several examples
showing the r\^ole of the given conditions. Moreover, we study the relations
between evolution families and Herglotz vector fields at regular contact points
and prove an embedding result for univalent self-maps of the unit disc with a
given boundary regular fixed point into an evolution family with prescribed
boundary data.


title: Optimal Partitioning for Dual-Pivot Quicksort

abstract:
  Dual-pivot quicksort refers to variants of classical quicksort where in the
partitioning step two pivots are used to split the input into three segments.
This can be done in different ways, giving rise to different algorithms.
Recently, a dual-pivot algorithm proposed by Yaroslavskiy received much
attention, because a variant of it replaced the well-engineered quicksort
algorithm in Sun's Java 7 runtime library. Nebel and Wild (ESA 2012) analyzed
this algorithm and showed that on average it uses 1.9n ln n + O(n) comparisons
to sort an input of size n, beating standard quicksort, which uses 2n ln n +
O(n) comparisons. We introduce a model that captures all dual-pivot algorithms,
give a unified analysis, and identify new dual-pivot algorithms that minimize
the average number of key comparisons among all possible algorithms up to a
linear term. This minimum is 1.8n ln n + O(n). For the case that the pivots are
chosen from a small sample, we include a comparison of dual-pivot quicksort and
classical quicksort. Specifically, we show that dual-pivot quicksort benefits
from a skewed choice of pivots. We experimentally evaluate our algorithms and
compare them to Yaroslavskiy's algorithm and the recently described three-pivot
quicksort algorithm of Kushagra et al. (ALENEX 2014).


title:
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic
  curves with complex multiplication

abstract:
  Given an elliptic curve E over Q with complex multiplication having good
reduction at 2, we investigate the 2-adic valuation of the algebraic part of
the L-value at 1 for a family of quadratic twists. In particular, we prove a
lower bound for this valuation in terms of the Tamagawa number in a form
predicted by the conjecture of Birch and Swinnerton-Dyer.


title:
Asymptotic Preserving scheme for strongly anisotropic parabolic
  equations for arbitrary anisotropy direction

abstract:
  This paper deals with the numerical study of a strongly anisotropic heat
equation. The use of standard schemes in this situation leads to poor results,
due to the high anisotropy. Furthermore, the recently proposed
Asymptotic-Preserving method [arXiv:1203.6739] allows to perform simulations
regardless of the anisotropy strength but its application is limited to the
case, where the anisotropy direction is given by a field with all field lines
open. In this paper we introduce a new Asymptotic-Preserving method, which
overcomes those limitations without any loss of precision or increase in the
computational costs. The convergence of the method is shown to be independent
of the anisotropy parameter $0 < \eps <1$, and this for fixed coarse Cartesian
grids and for variable anisotropy directions. The context of this work are
magnetically confined fusion plasmas.


title: Integrating holomorphic $L^1$-functions

abstract:
  Let $\Omega\Subset\mathbb{C}^{n}$ be a domain with smooth boundary,
$k\in\mathbb{N}$. It is shown that the integral of a holomorphic function in
$L^1(\Omega)$ may be represented as the integral of this function against a
smooth function vanishing to order $k-1$ on $b\Omega$. An application for a
smoothing property of the Bergman projection for conjugate holomorphic
functions is given.


title:
Le groupe de Brauer non ramifi\'e sur un corps global de
  caract\'eristique positive (The unramified Brauer group over a global field
  of positive characteristic)

abstract:
  En utilisant un th\'eor\`eme de Gabber sur les alt\'erations, on d\'emontre
un r\'esultat d\'ecrivant la partie de torsion premi\`ere \`a $p$ du groupe de
Brauer non ramifi\'e d'une vari\'et\'e $V$ lisse et g\'eom\'etriquement
int\`egre sur un corps global de caract\'eristique $p$ au moyen de
l'\'evaluation des \'el\'ements de $\Br V$ sur ses points locaux.
  Using a theorem of Gabber on alterations, we prove a result describing the
prime-to-$p$ torsion part of the unramified Brauer group of a smooth and
geometrically integral variety $V$ over a global field of characteristic $p$ by
evaluating the elements of $\Br V$ at its local points.


title:
Photometric properties of stellar populations in Galactic globular
  clusters: the role of the Mg-Al anticorrelation

abstract:
  We have computed low-mass stellar models and synthetic spectra for an initial
chemical composition that includes the full C-N, O-Na, and Mg-Al abundance
anticorrelations observed in second generation stars belonging to a number of
massive Galactic globular clusters. This investigation extends a previous study
that has addressed the effect of only the C-N and O-Na anticorrelations, seen
in all globulars observed to date. We find that the impact of Mg-Al abundance
variations at fixed [Fe/H] and Helium abundance is negligible on stellar models
and isochrones (from the main sequence to the tip of the red giant branch) and
bolometric corrections, when compared to the effect of C-N and O-Na variations.
We identify a spectral feature at 490-520 nm, for low-mass main sequence stars,
caused by MgH molecular bands. This feature has a vanishingly small effect on
bolometric corrections for Johnson and Stroemgren filters that cover that
spectral range. However, specific narrow-band filters able to target this
wavelength region can be powerful tools to investigate the Mg-poor unevolved
stars and highlight possible splittings of the MS due to variations of Mg
abundances.


title:
Optimization of PI Coefficients in DSTATCOM Nonlinear Controller for
  Regulating DC Voltage using Particle Swarm Optimization

abstract:
  Non-linear controller is preferred to linear controller due to non-linear
operation of DSTATCOM. System dynamic can be improved by regulating and fixing
the capacitor DC voltage in DSTATCOM. The nonlinear control is based on exact
linearization via feedback. There is a PI controller in this system to regulate
DC voltage. In conventional scheme, the trial and error method is used to
determine PI values. Exact calculation to optimize PI coefficients can be
carried out to reduce disturbances in DC link voltage and thus, in this paper,
Particle Swarm Optimization is applied. As a result, Capacitor voltage tracks
the reference values which have less vibration than conventional status. Both
trial and error method and PSO are implemented. A set of corresponding diagrams
achieved by these two methods are offered to demonstrate the effectiveness of
new method. Optimizations and Simulations are worked out in MATLAB environment.


title: Experimental observation of triple correlations in fluids

abstract:
  We present arguments for the hypothesis that under some conditions, triple
correlations of density fluctuations in fluids can be detected experimentally
by the method of molecular spectroscopy. These correlations manifest themselves
in the form of the so-called 1.5- (i.e., sesquialteral) scattering. The latter
is of most significance in the pre-asymptotic vicinity of the critical point
and can be registered along certain thermodynamic paths. Its presence in the
overall scattering pattern is demonstrated by our processing experimental data
for the depolarization factor. Some consequences of these results are
discussed.


title: Thermoelectric performance of a driven double quantum dot

abstract:
  In this paper we investigate the thermoelectric performance of a double-dot
device driven by time-dependently modulated gate voltages. We show that if the
modulation frequency {\Omega} is sufficiently small, not only quantized charge
pumping can be realized, but also the heat current flowing in the leads is
quantized and exhibits plateaux in units of kB T ln2 {\Omega}/2{\pi}. The
factor ln2 stems from the degeneracy of the double-dot states involved into
transport. This opens the possibility of using the pumping cycle to transfer
heat against a temperature gradient or to extract work from a hot reservoir
with Carnot efficiency. However, the performance of a realistic device is
limited by dissipative effects due to leakage currents and finite-frequency
operation, which we take into account rigorously by means of a generalized
master equation approach in the regime where the double dot is weakly coupled
to the leads. We show that despite these effects, the efficiency of a
double-dot charge pump performing work against a dc-source can reach of up to
70% of the ideal value.


title: Algorithm for factoring some RSA and Rabin moduli

abstract:
  In this paper we present a new efficient algorithm for factoring the RSA and
the Rabin moduli in the particular case when the difference between their two
prime factors is bounded. As an extension, we also give some theoretical
results on factoring integers.


title: Geometric Classification of 4-Dimensional Superalgebras

abstract:
  We give a geometric classification of 4-dimensional superalgebras over an
algebraic closed field.


title:
`Truncate, replicate, sample': a method for creating integer weights for
  spatial microsimulation

abstract:
  Iterative proportional fitting (IPF) is a widely used method for spatial
microsimulation. The technique results in non-integer weights for individual
rows of data. This is problematic for certain applications and has led many
researchers to favour combinatorial optimisation approaches such as simulated
annealing. An alternative to this is `integerisation' of IPF weights: the
translation of the continuous weight variable into a discrete number of unique
or `cloned' individuals. We describe four existing methods of integerisation
and present a new one. Our method --- `truncate, replicate, sample' (TRS) ---
recognises that IPF weights consist of both `replication weights' and
`conventional weights', the effects of which need to be separated. The
procedure consists of three steps: 1) separate replication and conventional
weights by truncation; 2) replication of individuals with positive integer
weights; and 3) probabilistic sampling. The results, which are reproducible
using supplementary code and data published alongside this paper, show that TRS
is fast, and more accurate than alternative approaches to integerisation.


title: Temperature dependence of a vortex in a superfluid Fermi gas

abstract:
  The temperature dependence of an isolated quantum vortex, embedded in an
otherwise homogeneous fermionic superfluid of infinite extent, is determined
via the Bogoliubov-de Gennes (BdG) equations across the BCS-BEC crossover.
Emphasis is given to the BCS side of this crossover, where it is physically
relevant to extend this study up to the critical temperature for the loss of
the superfluid phase, such that the size of the vortex increases without bound.
To this end, two novel techniques are introduced. The first one solves the BdG
equations with "free boundary conditions", which allows one to determine with
high accuracy how the vortex profile matches its asymptotic value at a large
distance from the center, thus avoiding a common practice of constraining the
vortex in a cylinder with infinite walls. The second one improves on the
regularization procedure of the self-consistent gap equation when the
inter-particle interaction is of the contact type, and permits to considerably
reduce the time needed for its numerical integration, by drawing elements from
the derivation of the Gross-Pitaevskii equation for composite bosons starting
from the BdG equations.


title:
What do fractals learn us concerning the masses of fundamental
  particles, of hadrons, and of nuclei? Concerning also disintegration
  life-times?

abstract:
  The hadron spectroscopy is studied through the use of fractals and discrete
scale invariance (DSI) implying log-periodic corrections to continuous scaling.
The masses of mesons and baryons, reported by the Particle Data Group (PDG),
agree with (DSI), as well as the masses of exotic narrow mesons, baryons, and
dibaryons.
  Two distributions are systematically studied: first the log of the masses
versus the log of their rank, and also the successive mass ratios. Each fitted
parameter of the second distributions, as a function of the hadronic masses,
displays the same shape for all PDG hadronic families and species. The same
parameters allow good fits for the narrow exotic mesons, baryons and dibaryons.
  When the successive mass ratios between different baryon families are
constant, this property is not observed between different meson families. Such
observation is studied within the double mass ratios eliminating the quark
masses, but the difference between baryons and mesons is not understood.
  The fractal properties and discrete scale invariance model are also used to
study nuclei yrast masses as well as excited nuclei level masses of some
nuclei. Here also the good agreement between data and fractal property, allows
to make some predictions for still unobserved nuclei masses.
  Fractal properties are also compared to several nuclei data such as :
  - atomic masses in several columns of the Mendeleev periodic table of
elements,
  - masses of series following $\beta^{+}$ or $\beta^{-}$ disintegrations,
  - one and two nucleon separation energies,
  - half-lives of some isotopes,
  - the four radioactive family periods.
  Finally, it is shown that the lepton, hadron, and boson masses can be
presented in the same frame. This is also partially true for the coupling
constants.


title:
Biases in physical parameter estimates through differential lensing
  magnification

abstract:
  We study the lensing magnification effect on background galaxies.
Differential magnification due to different magnifications of different source
regions of a galaxy will change the lensed composite spectra. The derived
properties of the background galaxies are therefore biased. For simplicity, we
model galaxies as a superposition of an axis-symmetric bulge and a face-on disk
in order to study the differential magnification effect on the composite
spectra. We find that some properties derived from the spectra (e.g., velocity
dispersion, star formation rate and metallicity) are modified. Depending on the
relative positions of the source and the lens, the inferred results can be
either over- or under-estimates of the true values. In general, for an extended
source at strong lensing regions with high magnifications, the inferred
physical parameters (e.g. metallicity) can be strongly biased. Therefore
detailed lens modelling is necessary to obtain the true properties of the
lensed galaxies.


title:
Spin dynamics of two bosons in an optical lattice site: a role of
  anharmonicity and anisotropy of the trapping potential

abstract:
  We study a spin dynamics of two magnetic Chromium atoms trapped in a single
site of a deep optical lattice in a resonant magnetic field. Dipole-dipole
interactions couple spin degrees of freedom of the two particles to their
motion in the site. The motion is quantized, therefore a trap geometry combined
with two-body contact s-wave interactions influence a spin dynamics through the
energy spectrum of the two atom system. Anharmonicity and anisotropy of the
site results in a `fine' structure of two body eigenenergies. The structure can
be easily resolved by a weak magnetic dipole-dipole interactions. As an example
we examine the effect of anharmonicity and anisotropy of the binding potential
on the Einstein-de Haas effect. We show that the weak dipolar interactions
provide a perfect tool for a precision spectroscopy of the energy spectrum of
the interacting few particle system.


title:
Towards redistribution laser cooling of molecular gases: Production of
  candidate molecules SrH by laser ablation

abstract:
  Laser cooling by collisional redistribution of radiation has been
successfully applied in the past for cooling dense atomic gases. Here we report
on progress of work aiming at the demonstration of redistribution laser cooling
in a molecular gas. The candidate molecule strontium monohydride is produced by
laser ablation of strontium dihydride in a pressurized noble gas atmosphere.
The composition of the ablation plasma plume is analyzed by measuring its
emission spectrum. The dynamics of SrH molecular density following the ablation
laser pulse is studied as a function of the buffer gas pressure and the laser
intensity.


title:
How to perform research in Hadoop environment not losing mental
  equilibrium - case study

abstract:
  Conducting a research in an efficient, repetitive, evaluable, but also
convenient (in terms of development) way has always been a challenge. To
satisfy those requirements in a long term and simultaneously minimize costs of
the software engineering process, one has to follow a certain set of
guidelines. This article describes such guidelines based on the research
environment called Content Analysis System (CoAnSys) created in the Center for
Open Science (CeON). Best practices and tools for working in the Apache Hadoop
environment, as well as the process of establishing these rules are portrayed.


title:
On the Impact of Solvation on a Au/TiO2 Nanocatalyst in Contact with
  Water

abstract:
  Water, the ubiquitous solvent, is also prominent in forming liquid solid
interfaces with catalytically active surfaces, in particular with promoted
oxides. We study the complex interface of a gold nanocatalyst, pinned by an F
center on titania support, and water. The ab initio simulations uncover the
microscopic details of solvent-induced charge rearrangements at the metal
particle. Water is found to stabilize charge states differently from the gas
phase as a result of structure specific charge transfer from to the solvent,
thus altering surface reactivity. The metal cluster is shown to feature both
cationic and anionic solvation, depending on fluctuation and polarization
effects in the liquid, which creates novel active sites. These observations
open up an avenue toward solvent engineering in liquid-phase heterogeneous
catalysis.


title:
Realistic polarizing Sagnac topology with DC readout for the Einstein
  Telescope

abstract:
  The Einstein Telescope (ET) is a proposed future gravitational wave detector.
Its design is original, using a triangular orientation of three detectors and a
xylophone configuration, splitting each detector into one high-frequency and
one low-frequency system. In other aspects the current design retains the
dual-recycled Michelson interferometer typical of current detectors, such as
Advanced LIGO. In this paper, we investigate the feasibility of replacing the
low-frequency part of the ET detectors with a Sagnac interferometer. We show
that a Sagnac interferometer, using realistic optical parameters based on the
ET design, could provide a similar level of radiation pressure noise
suppression without the need for a signal recycling mirror and the extensive
filter cavities. We consider the practical issues of a realistic,
power-recycled Sagnac, using linear arm cavities and polarizing optics. In
particular, we investigate the effects of nonperfect polarizing optics and
propose a new method for the generation of a local oscillator field similar to
the DC readout scheme of current detectors.

categories: physics.ins-det astro-ph.IM gr-qc physics.optics


title:
Kalman smoothing and block tridiagonal systems: new connections and
  numerical stability results

abstract:
  The Rauch-Tung-Striebel (RTS) and the Mayne-Fraser (MF) algorithms are two of
the most popular smoothing schemes to reconstruct the state of a dynamic linear
system from measurements collected on a fixed interval. Another (less popular)
approach is the Mayne (M) algorithm introduced in his original paper under the
name of Algorithm A. In this paper, we analyze these three smoothers from an
optimization and algebraic perspective, revealing new insights on their
numerical stability properties. In doing this, we re-interpret classic
recursions as matrix decomposition methods for block tridiagonal matrices.
  First, we show that the classic RTS smoother is an implementation of the
forward block tridiagonal (FBT) algorithm (also known as Thomas algorithm) for
particular block tridiagonal systems. We study the numerical stability
properties of this scheme, connecting the condition number of the full system
to properties of the individual blocks encountered during standard recursion.
Second, we study the M smoother, and prove it is equivalent to a backward block
tridiagonal (BBT) algorithm with a stronger stability guarantee than RTS.
Third, we illustrate how the MF smoother solves a block tridiagonal system, and
prove that it has the same numerical stability properties of RTS (but not those
of M). Finally, we present a new hybrid RTS/M (FBT/BBT) smoothing scheme, which
is faster than MF, and has the same numerical stability guarantees of RTS and
MF.


title:
Purity dependent uncertainty relation and possible enhancement of
  quantum tunneling phenomenon

abstract:
  The position-momentum uncertainty relations containing the dependence of
their quantum bounds on state purity parameter $\mu$ are discussed in context
of possibilities to influence on the potential barrier transparency by means of
decoherence processes. The behavior of barrier transparency $D$ is shown to
satisfy the condition $\mu^{-1}\ln D=const$. The particular case of thermal
state with temperature $T$ where the purity parameter is a function of
temperature is considered. For large temperature the condition for the barrier
transparency is shown to be $T\ln D=const$.


title: Anisimov's Theorem for inverse semigroups

abstract:
  The idempotent problem of a finitely generated inverse semigroup is the
formal language of all words over the generators representing idempotent
elements. This note proves that a finitely generated inverse semigroup with
regular idempotent problem is necessarily finite. This answers a question of
Gilbert and Noonan Heale, and establishes a generalisation to inverse
semigroups of Anisimov's Theorem for groups.


title: Q-LEACH: A New Routing Protocol for WSNs

abstract:
  Wireless Sensor Networks (WSNs) with their dynamic applications gained a
tremendous attention of researchers. Constant monitoring of critical situations
attracted researchers to utilize WSNs at vast platforms. The main focus in WSNs
is to enhance network life-time as much as one could, for efficient and optimal
utilization of resources. Different approaches based upon clustering are
proposed for optimum functionality. Network life-time is always related with
energy of sensor nodes deployed at remote areas for constant and fault tolerant
monitoring. In this work, we propose Quadrature-LEACH (Q-LEACH) for homogenous
networks which enhances stability period, network life-time and throughput
quiet significantly.


title: Granular Brownian motion with dry friction

abstract:
  The interplay between Coulomb friction and random excitations is studied
experimentally by means of a rotating probe in contact with a stationary
granular gas. The granular material is independently fluidized by a vertical
shaker, acting as a 'heat bath' for the Brownian-like motion of the probe. Two
ball bearings supporting the probe exert nonlinear Coulomb friction upon it.
The experimental velocity distribution of the probe, autocorrelation function,
and power spectra are compared with the predictions of a linear Boltzmann
equation with friction, which is known to simplify in two opposite limits: at
high collision frequency, it is mapped to a Fokker-Planck equation with
nonlinear friction, whereas at low collision frequency, it is described by a
sequence of independent random kicks followed by friction-induced relaxations.
Comparison between theory and experiment in these two limits shows good
agreement. Deviations are observed at very small velocities, where the real
bearings are not well modeled by Coulomb friction.


title: Holomorphic maps with large images

abstract:
  We show that each pseudoconvex domain $\Omega\subset {\mathbb C}^n$ admits a
holomorphic map $F$ to ${\mathbb C}^m$ with $|F|\le C_1 e^{C_2
\hat{\delta}^{-6}}$, where $\hat{\delta}$ is the minimum of the boundary
distance and $(1+|z|^2)^{-1/2}$, such that every boundary point is a
Casorati-Weierstrass point of $F$. Based on this fact, we introduce a new
anti-hyperbolic concept --- universal dominability. We also show that for each
$\alpha>6$ and each pseudoconvex domain $\Omega\subset {\mathbb C}^n$, there is
a holomorphic function $f$ on ${\Omega}$ with $|f|\le C_\alpha e^{C_\alpha'
\hat{\delta}^{-\alpha}}$, such that every boundary point is a Picard point of
$F$. Applications to the construction of holomorphic maps of a given domain
onto some ${\mathbb C}^m$ are given.


title:
Link Scheduling for Multiple Multicast Sessions in Distributed Wireless
  Networks

abstract:
  In this letter we investigate link scheduling algorithms for throughput
maximization in multicast wireless networks. According to our system model,
each source node transmits to a multicast group that resides one hop away. We
adopt the physical interference model to reflect the aggregate signal to
interference and noise ratio (SINR) at each node of the multicast group. We
present an ILP formulation of the aforementioned problem. The basic feature of
the problem formulation is that it decomposes the single multicast session into
the corresponding point-to-point links. The rationale is that a solution
algorithm has more flexibility regarding the scheduling options for individual
nodes. The extended MILP problem that also considers power control is solved
with LP relaxation. Performance results for both the ILP and MILP problems are
obtained for different traffic loads and different number of nodes per
multicast group.


title: Separable Dictionary Learning

abstract:
  Many techniques in computer vision, machine learning, and statistics rely on
the fact that a signal of interest admits a sparse representation over some
dictionary. Dictionaries are either available analytically, or can be learned
from a suitable training set. While analytic dictionaries permit to capture the
global structure of a signal and allow a fast implementation, learned
dictionaries often perform better in applications as they are more adapted to
the considered class of signals. In imagery, unfortunately, the numerical
burden for (i) learning a dictionary and for (ii) employing the dictionary for
reconstruction tasks only allows to deal with relatively small image patches
that only capture local image information. The approach presented in this paper
aims at overcoming these drawbacks by allowing a separable structure on the
dictionary throughout the learning process. On the one hand, this permits
larger patch-sizes for the learning phase, on the other hand, the dictionary is
applied efficiently in reconstruction tasks. The learning procedure is based on
optimizing over a product of spheres which updates the dictionary as a whole,
thus enforces basic dictionary properties such as mutual coherence explicitly
during the learning procedure. In the special case where no separable structure
is enforced, our method competes with state-of-the-art dictionary learning
methods like K-SVD.


title:
Mott Variable Range Hopping and Weak Antilocalization Effect in
  Heteroepitaxial Na2IrO3 Thin Films

abstract:
  Iridate thin films are a prerequisite for any application utilizing their
cooperative effects resulting from the interplay of stron spin-orbit coupling
and electronic correlations. Here, heteroepitaxial Na2IrO3 thin films with
excellent (001) out-of-plane crystalline orientation and well defined in-plane
epitaxial relationship are presented on various oxide substrates. Resistivity
is dominated by a three-dimensional variable range hopping mechanism in a large
temperature range between 300 K and 40 K. Optical experiments show the onset of
a small optical gap of about 200 meV and a splitting of the Ir 5d-t2g manifold.
Positive magnetoresistance below 3 T and 25 K shows signatures of a weak
antilocalization effect. This effect can be associated with surface states in a
topological insulator and hence supports proposals for a topological insulator
phase present in Na2IrO3.


title: On ratios of Petersson norms for Yoshida lifts

abstract:
  We prove an algebraicity property for a certain ratio of Petersson norms
associated to a Siegel cusp form of degree 2 (and arbitrary level) whose
adelization generates a weak endoscopic lift. As a preparation for this, we
explicate various features of the correspondence between scalar valued Siegel
cusp forms of degree n and automorphic representations on GSp_{2n}.


title: Model Theory for a Compact Cardinal

abstract:
  We would like to develop model theory for T, a complete theory in
L_{theta,theta}(tau) when theta is a compact cardinal. We already have bare
bones stability theory and it seemed we can go no further. Dealing with
ultrapowers (and ultraproducts) naturally we restrict ourselves to "D a
theta-complete ultrafilter on I, probably (I,theta)-regular". The basic
theorems of model theory work and can be generalized (like Los theorem), but
can we generalize deeper parts of model theory? The first section tries to sort
out what occurs to the notion of stable T for complete L_{theta,theta}-theories
T. We generalize several properties of complete first order T, equivalent to
being stable (see [Sh:c]) and find out which implications hold and which fail.
In particular, can we generalize stability enough to generalize [Sh:c, Ch. VI]?
Let us concentrate on saturation in the local sense (types consisting of
instances of one formula). We prove that at least we can characterize the T's
(of cardinality < theta for simplicity) which are minimal for appropriate
cardinal lambda > 2^kappa +|T| in each of the following two senses. One is
generalizing Keisler order which measures how saturated are ultrapowers.
Another asks: Is there an L_{theta,theta}-theory T_1 supseteq T of cardinality
|T| + 2^theta such that for every model M_1 of T_1 of cardinality > lambda, the
tau(T)-reduct M of M_1 is lambda^+-saturated. Moreover, the two versions of
stable used in the characterization are different.


title:
Methods Of Measurement The Three-Dimensional Wind Waves Spectra, Based
  On The Processing Of Video Images Of The Sea Surface

abstract:
  Optical instruments for measuring surface-wave characteristics provide a
better spatial and temporal resolution than other methods, but they face
difficulties while converting the results of indirect measurements into
absolute levels of the waves. We have solved this problem to some extent. In
this paper, we propose an optical method for measuring the 3D power spectral
density of the surface waves and spatio-temporal samples of the wave profiles.
The method involves, first, synchronous recording of the brightness field over
a patch of a rough surface and measurement of surface oscillations at one or
more points and, second, filtering of the spatial image spectrum. Filter
parameters are chosen to maximize the correlation of the surface oscillations
recovered and measured at one or two points. In addition to the measurement
procedure, the paper provides experimental results of measuring
multidimensional spectra of roughness, which generally agree with theoretical
expectations and the results of other authors.


title:
Valence-bond crystalline order in the $s=1/2$ $J_{1}$--$J_{2}$ model on
  the honeycomb lattice

abstract:
  Using the coupled cluster method we study the phase diagram of the spin-1/2
Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor
exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling
$J_{2} \equiv xJ_{1}>0$. In the range $0<x<1$ we find four phases exhibiting
respectively N\'{e}el, 6-spin plaquette, staggered dimer, and N\'{e}el-II
orderings, with quantum critical points at $x_{c_{1}} \approx 0.207(3),
x_{c_{2}} \approx 0.385(10)$, and $x_{c_{3}} \approx 0.65(5)$. The transitions
at $x_{c_{1}}$ and $x_{c_{3}}$ appear to be continuous (and hence deconfined)
ones, while that at $x_{c_{2}}$ appears to be a direct first-order one.


title: Iterative Expectation for Multi Period Information Retrieval

abstract:
  Many Information Retrieval (IR) models make use of offline statistical
techniques to score documents for ranking over a single period, rather than use
an online, dynamic system that is responsive to users over time. In this paper,
we explicitly formulate a general Multi Period Information Retrieval problem,
where we consider retrieval as a stochastic yet controllable process. The
ranking action during the process continuously controls the retrieval system's
dynamics, and an optimal ranking policy is found in order to maximise the
overall users' satisfaction over the multiple periods as much as possible. Our
derivations show interesting properties about how the posterior probability of
the documents relevancy evolves from users feedbacks through clicks, and
provides a plug-in framework for incorporating different click models. Based on
the Multi-Armed Bandit theory, we propose a simple implementation of our
framework using a dynamic ranking rule that takes rank bias and exploration of
documents into account. We use TREC data to learn a suitable exploration
parameter for our model, and then analyse its performance and a number of
variants using a search log data set; the experiments suggest an ability to
explore document relevance dynamically over time using user feedback in a way
that can handle rank bias.


title: TTP: Tool for Tumor Progression

abstract:
  In this work we present a flexible tool for tumor progression, which
simulates the evolutionary dynamics of cancer. Tumor progression implements a
multi-type branching process where the key parameters are the fitness
landscape, the mutation rate, and the average time of cell division. The
fitness of a cancer cell depends on the mutations it has accumulated. The input
to our tool could be any fitness landscape, mutation rate, and cell division
time, and the tool produces the growth dynamics and all relevant statistics.


title: On rates of convergence for the overlap in the Hopfield model

abstract:
  We consider the Hopfield model with $n$ neurons and an increasing number
$p=p(n)$ of randomly chosen patterns and use Stein's method to obtain rates of
convergence for the central limit theorem of overlap parameters, which holds
for every fixed choice of the overlap parameter for almost all realisations of
the random patterns.


title:
Novel discrete symmetries in the general N = 2 supersymmetric quantum
  mechanical model

abstract:
  In addition to the usual supersymmetric (SUSY) continuous symmetry
transformations for the general N = 2 SUSY quantum mechanical model, we show
the existence of a set of novel discrete symmetry transformations for the
Lagrangian of the above SUSY quantum mechanical model. Out of all these
discrete symmetry transformations, a unique discrete transformation corresponds
to the Hodge duality operation of differential geometry and the above SUSY
continuous symmetry transformations (and their anticommutator) provide the
physical realizations of the de Rham cohomological operators of differential
geometry. Thus, we provide a concrete proof of our earlier conjecture that any
arbitrary N= 2 SUSY quantum mechanical model is an example of a Hodge theory
where the cohomological operators find their physical realizations in the
language of symmetry transformations of this theory. Possible physical
implications of our present study are pointed out, too.


title:
A spectral differential approach to characterizing low-mass companions
  to late-type stars

abstract:
  In this paper, we develop a spectral differential technique with which the
dynamical mass of low-mass companions can be found. This method aims at
discovering close companions to late-type stars by removing the stellar
spectrum through a subtraction of spectra obtained at different orbital phases
and discovering the companion spectrum in the difference spectrum in which the
companion lines appear twice (positive and negative signal). The resulting
radial velocity difference of these two signals provides the true mass of the
companion, if the orbital solution for the radial velocities of the primary is
known. We select the CO line region in the K-band for our study, because it
provides a favourable star-to-companion brightness ratio for our test case
GJ1046, an M2V dwarf with a low-mass companion that most likely is a brown
dwarf. Furthermore, these lines remain largely unblended in the difference
spectrum so that the radial velocity amplitude of the companion can be measured
directly. Only if the companion rotates rapidly and has a small radial velocity
due to a high mass, does blending occur for all lines so that our approach
fails. We also consider activity of the host star, and show that the companion
difference flux can be expected to have larger amplitude than the residual
signal from the active star so that stellar activity does not inhibit the
determination of the companion mass. In addition to determining the companion
mass, we restore the single companion spectrum from the difference spectrum
using singular value decomposition.


title: Study of Top Effective Operators at the ILC

abstract:
  In this paper we study the effect of new physics contributions to the top
quark pair production ($t\bar{t}$) in a possible future linear collider, such
as the International Linear Collider (ILC). The use of a dimension-six gauge
invariant effective operator approach allows to compare the prospected results
at the ILC with the current ones obtained at the Large Hadron Collider (LHC),
both in neutral and charged current processes. We also prove that the use of
specific observables, together with a combination of measurements in different
polarized beam scenarios and with different center-of-mass energies, allows to
disentangle different effective operator contributions and significantly
improve the limits on the anomalous couplings with respect to the LHC.


title:
Resonance phenomena in the interaction of a many-photon wave packet and
  a qubit

abstract:
  We demonstrate that a highly excited quantum electromagnetic mode strongly
interacting with a single qubit exhibits several distinct resonances in
addition to the Bloch-Siegert resonance condition that arises in the
interaction with classical radiation. The resonance phenomena are associated
with non-classical effects: Collapse of Rabi oscillations, splitting of the
photon wave packet, and field-qubit entanglement. The analysis is based on a
semiclassical phase-space flow of 2-by-2 matrices and becomes exact when the
photon number tends to infinity. The flow equations are solved perturbatively
and numerically, showing that the resonant detuning of the field and qubit
frequencies lie on two branches in the leading order, that further split into
distinct curves in higher orders.


title:
Optical spin squeezing: bright beams as high-flux entangled photon
  sources

abstract:
  In analogy with the spin-squeezing inequality of Wang and Sanders [Physical
Review A 68, 012101 (2003)], we find inequalities describing macroscopic
polarization correlations that are obeyed by all classical fields, and whose
violation implies entanglement of the photons that make up the optical beam. We
consider a realistic and exactly-solvable experimental scenario employing
polarization- squeezed light from an optical parametric oscillator (OPO) and
find that any two photons separated by less than the OPO coherence time are
polarization entangled. The polarization entanglement is robust against losses
and extremely bright: efficiency can exceed that of existing "ultra-bright"
pair sources by at least an order of magnitude. This translation of
spin-squeezing inequalities to the optical domain will enable direct tests of
the squeezing-entanglement relationship.


title: Neutron stars initial spin period distribution

abstract:
  We analyze different possibilities to explain the wide initial spin period
distribution of radio pulsars presented by Noutsos et al. (2013). With a
population synthesis modeling we demonstrate that magnetic field decay can be
used to interpret the difference between the recent results by Noutsos et al.
(2013) and those by Popov & Turolla (2012), where a much younger population of
NSs associated with supernova remnants with known ages has been studied. In
particular, an exponential field decay with tau_mag = 5Myrs can produce a
"tail" in the reconstructed initial spin period distribution (as obtained by
Noutsos et al. 2013) up to P_0 > 1 s starting with a standard gaussian with P_0
= 0.3 s and sigma_P = 0.15 s. Another option to explain the difference between
initial spin period distributions from Noutsos et al. (2013) and Popov &
Turolla (2012) -- the emerging magnetic field -- is also briefly discussed.


title: Efficient Sparseness-Enforcing Projections

abstract:
  We propose a linear time and constant space algorithm for computing Euclidean
projections onto sets on which a normalized sparseness measure attains a
constant value. These non-convex target sets can be characterized as
intersections of a simplex and a hypersphere. Some previous methods required
the vector to be projected to be sorted, resulting in at least quasilinear time
complexity and linear space complexity. We improve on this by adaptation of a
linear time algorithm for projecting onto simplexes. In conclusion, we propose
an efficient algorithm for computing the product of the gradient of the
projection with an arbitrary vector.


title:
M-ATTEMPT: A New Energy-Efficient Routing Protocol for Wireless Body
  Area Sensor Networks

abstract:
  In this paper, we propose a new routing protocol for heterogeneous Wireless
Body Area Sensor Networks (WBASNs); Mobility-supporting Adaptive
Threshold-based Thermal-aware Energy-efficientMulti-hop ProTocol (M-ATTEMPT). A
prototype is defined for employing heterogeneous sensors on human body. Direct
communication is used for real-time traffic (critical data) or on-demand data
while Multi-hop communication is used for normal data delivery. One of the
prime challenges in WBASNs is sensing of the heat generated by the implanted
sensor nodes. The proposed routing algorithm is thermal-aware which senses the
link Hot-spot and routes the data away from these links. Continuous mobility of
human body causes disconnection between previous established links. So,
mobility support and energy-management is introduced to overcome the problem.
Linear Programming (LP) model for maximum information extraction and minimum
energy consumption is presented in this study. MATLAB simulations of proposed
routing algorithm are performed for lifetime and successful packet delivery in
comparison with Multi-hop communication. The results show that the proposed
routing algorithm has less energy consumption and more reliable as compared to
Multi-hop communication.


title:
Causality, universality, and effective field theory for van der Waals
  interactions

abstract:
  We analyze low-energy scattering for arbitrary short-range interactions plus
an attractive 1/r^6 tail. We derive the constraints of causality and unitarity
and find that the van der Waals length scale dominates over parameters
characterizing the short-distance physics of the interaction. This separation
of scales suggests a separate universality class for physics characterizing
interactions with an attractive 1/r^6 tail. We argue that a similar
universality class exists for any attractive potential 1/r^{alpha} for alpha >=
2. We also discuss the extension to multi-channel systems near a magnetic
Feshbach resonance. We discuss the implications for effective field theory with
attractive singular power law tails.


title:
Co monolayers and adatoms on Pd(100), Pd(111) and Pd(110): Anisotropy of
  magnetic properties

abstract:
  We investigate to what extent the magnetic properties of deposited
nanostructures can be influenced by selecting as a support different surfaces
of the same substrate material. Fully relativistic ab initio calculations were
performed for Co monolayers and adatoms on Pd(100), Pd(111), and Pd(110)
surfaces. Changing the crystallographic orientation of the surface has a
moderate effect on the spin magnetic moment and on the number of holes in the d
band, a larger effect on the orbital magnetic moment but sometimes a dramatic
effect on the magnetocrystalline anisotropy energy (MAE) and on the magnetic
dipole term T_alpha. The dependence of T_alpha on the magnetization direction
alpha can lead to a strong apparent anisotropy of the spin magnetic moment as
deduced from the X-ray magnetic circular dichroism (XMCD) sum rules. For
systems in which the spin-orbit coupling is not very strong, the T_alpha term
can be understood as arising from the differences between components of the
spin magnetic moment associated with different magnetic quantum numbers m.


title: Cosmic Dust Aggregation with Stochastic Charging

abstract:
  The coagulation of cosmic dust grains is a fundamental process which takes
place in astrophysical environments, such as presolar nebulae and circumstellar
and protoplanetary disks. Cosmic dust grains can become charged through
interaction with their plasma environment or other processes, and the resultant
electrostatic force between dust grains can strongly affect their coagulation
rate. Since ions and electrons are collected on the surface of the dust grain
at random time intervals, the electrical charge of a dust grain experiences
stochastic fluctuations. In this study, a set of stochastic differential
equations is developed to model these fluctuations over the surface of an
irregularly-shaped aggregate. Then, employing the data produced, the influence
of the charge fluctuations on the coagulation process and the physical
characteristics of the aggregates formed is examined. It is shown that dust
with small charges (due to the small size of the dust grains or a tenuous
plasma environment) are affected most strongly.


title: Graph manifolds Z-homology 3-spheres and taut foliations

abstract:
  We show that a graph manifold which is a Z-homology 3-sphere not homeomorphic
to either the 3-sphere or the Poincar\'e homology 3-sphere admits a horizontal
foliation. This combines with known results to show that the conditions of not
being an L-space, of having a left-orderable fundamental group, and of
admitting a co-oriented taut foliation, are equivalent for graph manifold
Z-homology 3-spheres.


title: On solid and rigid monoids in monoidal categories

abstract:
  We introduce the notion of solid monoid and rigid monoid in monoidal
categories and study the formal properties of these objects in this framework.
We show that there is a one to one correspondence between solid monoids,
smashing localizations and mapping colocalizations, and prove that rigid
monoids appear as localizations of the unit of the monoidal structure. As an
application, we study solid and rigid ring spectra in the stable homotopy
category and characterize connective solid ring spectra as Moore spectra of
subrings of the rationals.


title: Complete positivity and contextuality of quantum dynamics

abstract:
  Positivity or the stronger notion of complete positivity, and contextuality
are central properties of quantum dynamics. In this work, we demonstrate that a
physical unitary-universe dilation model could be employed to characterize the
completely positive map, regardless of the initial correlation condition.
Particularly, the problem of initial correlation can be resolved by a swap
operation. Furthermore, we discuss the physical essence of completely positive
map and highlights its limitations. Then we develop the quantum
measurement-chain formula beyond the framework of completely positive map in
order to describe much broader quantum dynamics, and therein the property of
contextuality could be captured via measurement transfer matrix.


title:
Modelling spreading dynamics of liquid crystals in three spatial
  dimensions

abstract:
  We study spreading dynamics of nematic liquid crystal droplets within the
framework of the long-wave approximation. A fourth order nonlinear parabolic
partial differential equation governing the free surface evolution is derived.
The influence of elastic distortion energy and of imposed anchoring variations
at the substrate are explored through linear stability analysis and scaling
arguments, which yield useful insight and predictions for the behaviour of
spreading droplets. This behaviour is captured by fully nonlinear
time-dependent simulations of three dimensional droplets spreading in the
presence of anchoring variations that model simple defects in the nematic
orientation at the substrate.


title:
Divide-and-Rule Scheme for Energy Efficient Routing in Wireless Sensor
  Networks

abstract:
  From energy conservation perspective inWireless Sensor Networks (WSNs),
clustering of sensor nodes is a challenging task. Clustering technique in
routing protocols play a key role to prolong the stability period and lifetime
of the network. In this paper, we propose and evaluate a new routing protocol
for WSNs. Our protocol; Divide-and-Rule (DR) is based upon static clustering
and dynamic Cluster Head (CH) selection technique. This technique selects fixed
number of CHs in each round instead of probabilistic selection of CH.
Simulation results show that DR protocol outperform its counterpart routing
protocols.


title: Smart Rewiring for Network Robustness

abstract:
  While new forms of attacks are developed every day to compromise essential
infrastructures, service providers are also expected to develop strategies to
mitigate the risk of extreme failures. In this context, tools of Network
Science have been used to evaluate network robustness and propose resilient
topologies against attacks. We present here a new rewiring method to modify the
network topology improving its robustness, based on the evolution of the
network largest component during a sequence of targeted attacks. In comparison
to previous strategies, our method lowers by several orders of magnitude the
computational effort necessary to improve robustness. Our rewiring also drives
the formation of layers of nodes with similar degree while keeping a highly
modular structure. This "modular onion-like structure" is a particular class of
the onion-like structure previously described in the literature. We apply our
rewiring strategy to an unweighted representation of the World Air
Transportation network and show that an improvement of 30% in its overall
robustness can be achieved through smart swaps of around 9% of its links.


title: Algebraic points on Shimura curves of $\Gamma_0(p)$-type (III)

abstract:
  In previous articles, we classified the characters associated to algebraic
points on Shimura curves of $\Gamma_0(p)$-type, and over number fields in a
certain large class we showed that there are at most elliptic points on such a
Shimura curve for every sufficiently large prime number $p$. In this article,
we prove the non-existence of elliptic points on Shimura curves of
$\Gamma_0(p)$-type under a mild assumption. We also give an explicit example.


title:
Magnetization Process and Collective Excitations in the S=1/2
  Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9

abstract:
  We have performed high-field magnetization and ESR measurements on
Ba$_3$CoSb$_2$O$_9$ single crystals, as a representative two-dimensional
spin-1/2 Heisenberg antiferromagnet on a uniform triangular lattice, and have
determined all the magnetic parameters. For an applied magnetic field $H$
parallel to the $ab$-plane, the entire magnetization curve including the
plateau at one-third of the saturation magnetization ($M_\mathrm{s}$) is in
excellent agreement with the results of theoretical calculations except an
anomaly near $(3/5)M_\mathrm{s}$, indicative of an additional field-induced
transition. However, for $H\,{\parallel}\,c$, the magnetization curve exhibits
a cusp near $M_\mathrm{s}/3$. Paramagnetic resonance signals above the N\'eel
temperature indicate the nearly isotropic $g$-factor. A detailed analysis of
the collective ESR modes observed in the ordered state, combined with the
magnetization process, provides evidence of the weak easy-plane anisotropy.


title:
Helical Structures in Vertically Aligned Dust Particle Chains in a
  Complex Plasma

abstract:
  Self-assembly of structures from vertically aligned, charged dust particle
bundles within a glass box placed on the lower, powered electrode of a RF GEC
cell were produced and examined experimentally. Self-organized formation of
one-dimensional vertical chains, two-dimensional zigzag structures and
three-dimensional helical structures of triangular, quadrangular, pentagonal,
hexagonal, and heptagonal symmetries are shown to occur. System evolution is
shown to progress from a one-dimensional chain structure, through a zigzag
transition to a two-dimensional, spindle-like structure and then to various
three-dimensional, helical structures exhibiting multiple symmetries. Stable
configurations are found to be dependent upon the system confinement, (where
are the horizontal and vertical dust resonance frequencies), the total number
of particles within a bundle and the RF power. For clusters having fixed
numbers of particles, the RF power at which structural transitions occur is
repeatable and exhibits no observable hysteresis. The critical conditions for
these structural transitions as well as the basic symmetry exhibited by the
one-, two- and three-dimensional structures that subsequently develop are in
good agreement with the theoretically predicted configurations of minimum
energy determined employing molecular dynamics simulations for charged dust
particles confined in a prolate, spheroidal potential as presented
theoretically by Kamimura and Ishihara [10].


title:
Relaxation of flying spin qubits in quantum wires by hyperfine
  interaction

abstract:
  We consider the relaxation of a spin qubit in a quantum dot propagating as a
whole in a one-dimensional semiconductor with hyperfine coupling. We show that
this motion leads to qualitatively new features in this process compared to
static quantum dots. For a fast straightforward motion, the initial spin
density decreases to zero with the relaxation rate independent of the spatial
spread of the electron wave function and inversely proportional to the electron
speed. However, for the oscillatory motion, the qubit acquires memory, and the
dephasing becomes Gaussian rather than exponential. After some time, one third
of the initial spin polarization is restored, as it happens for static qubits.
This revival can occur either through periodic peaks or through a monotonous
increase in the polarization, after a minimum, until a plateau has been
reached. Our results can be useful for the understanding of the spin dynamics
and decoherence in quantum wires.


title:
EDDEEC: Enhanced Developed Distributed Energy-Efficient Clustering for
  Heterogeneous Wireless Sensor Networks

abstract:
  Wireless Sensor Networks (WSNs) consist of large number of randomly deployed
energy constrained sensor nodes. Sensor nodes have ability to sense and send
sensed data to Base Station (BS). Sensing as well as transmitting data towards
BS require high energy. In WSNs, saving energy and extending network lifetime
are great challenges. Clustering is a key technique used to optimize energy
consumption in WSNs. In this paper, we propose a novel clustering based routing
technique: Enhanced Developed Distributed Energy Efficient Clustering scheme
(EDDEEC) for heterogeneous WSNs. Our technique is based on changing dynamically
and with more efficiency the Cluster Head (CH) election probability. Simulation
results show that our proposed protocol achieves longer lifetime, stability
period and more effective messages to BS than Distributed Energy Efficient
Clustering (DEEC), Developed DEEC (DDEEC) and Enhanced DEEC (EDEEC) in
heterogeneous environments.


title:
Achieving Efficient Strong Scaling with PETSc using Hybrid MPI/OpenMP
  Optimisation

abstract:
  The increasing number of processing elements and decreas- ing memory to core
ratio in modern high-performance platforms makes efficient strong scaling a key
requirement for numerical algorithms. In order to achieve efficient scalability
on massively parallel systems scientific software must evolve across the entire
stack to exploit the multiple levels of parallelism exposed in modern
architectures. In this paper we demonstrate the use of hybrid MPI/OpenMP
parallelisation to optimise parallel sparse matrix-vector multiplication in
PETSc, a widely used scientific library for the scalable solution of partial
differential equations. Using large matrices generated by Fluidity, an open
source CFD application code which uses PETSc as its linear solver engine, we
evaluate the effect of explicit communication overlap using task-based
parallelism and show how to further improve performance by explicitly load
balancing threads within MPI processes. We demonstrate a significant speedup
over the pure-MPI mode and efficient strong scaling of sparse matrix-vector
multiplication on Fujitsu PRIMEHPC FX10 and Cray XE6 systems.


title: Inconsistency of Carnot's theorem's proof by William Thomson

abstract:
  William Thomson proved Carnot's theorem basing on postulate: "It is
impossible, by means of inanimate material agency, to derive mechanical effect
from any portion of matter by cooling it below the temperature of the coldest
of the surrounding objects". The present paper demonstrates that Carnot's
theorem can be proved based on the contrary Thomson's postulate: "It is
impossible to use the mechanical effect to the heating the coldest of
surrounding objects". A conclusion that Carnot's theorem does not follow from
the Thomson's postulate has been drawn.


title: Omega Transmission Lines

abstract:
  In this paper, we show how bi-anisotropic media with omega-type response can
be realized using periodically loaded transmission lines. General conditions
for the needed unit cell circuit block are derived. Also, an implementation is
shown and analyzed.


title:
1-efficient triangulations and the index of a cusped hyperbolic
  3-manifold

abstract:
  In this paper we will promote the 3D index of an ideal triangulation T of an
oriented cusped 3-manifold M (a collection of q-series with integer
coefficients, introduced by Dimofte-Gaiotto-Gukov) to a topological invariant
of oriented cusped hyperbolic 3-manifolds. To achieve our goal we show that (a)
T admits an index structure if and only if T is 1-efficient and (b) if M is
hyperbolic, it has a canonical set of 1-efficient ideal triangulations related
by 2-3 and 0-2 moves which preserve the 3D index. We illustrate our results
with several examples.


title: Tacnode GUE-minor Processes and Double Aztec Diamonds

abstract:
  We study random domino tilings of a Double Aztec diamond, a region consisting
of two overlapping Aztec diamonds. The random tilings give rise to two discrete
determinantal point processes called the K-and L-particle processes. The
correlation kernel of the K-particles was derived in Adler, Johansson and van
Moerbeke (2011), who used it to study the limit process of the K-particles with
different weights for horizontal and vertical dominos. Let the size of both,
the Double Aztec diamond and the overlap, tend to infinity such that the two
arctic ellipses just touch; then they show that the fluctuations of the
K-particles near the tangency point tend to the tacnode process. In this paper,
we find the limiting point process of the L-particles in the overlap when the
weights of the horizontal and vertical dominos are equal, or asymptotically
equal, as the Double Aztec diamond grows, while keeping the overlap finite. In
this case the two limiting arctic circles are tangent in the overlap and the
behavior of the L-particles in the vicinity of the point of tangency can then
be viewed as two colliding GUE-minor process, which we call the tacnode GUE
minor process. As part of the derivation of the kernel for the L-particles we
find the inverse Kasteleyn matrix for the dimer model version of Double Aztec
diamond.


title:
Forward-backward multiplicity correlations in relativistic heavy-ion
  collisions in a superposition approach

abstract:
  We analyze the multiplicity correlations between distant forward and backward
rapidity regions in relativistic heavy-ion collisions in a superposition
framework, where the particle production occurs through independent emission
from correlated sources. This in principle allows for inferring information on
the long-range forward-backward correlations of the sources in the earliest
phase of the collision, based solely on the experimental information on the
statistical features of the observed particle distributions. Our three-stage
study incorporates the fluctuations of parton production in the early phase,
the effect of intermediate hydrodynamic evolution, as well as fluctuations in
the production of particles at freeze-out. We investigate the dependence of the
results on the features of the overlaid distributions and hydrodynamics, as
well as the centrality dependence. We analyze the existing data from the STAR
Collaboration. Predictions for the forward-backward multiplicity correlations
in Pb+Pb collisions to be analyzed at the LHC are also made.


title:
Experimental Test of an Event-Based Corpuscular Model Modification as an
  Alternative to Quantum Mechanics

abstract:
  We present the first experimental test that distinguishes between an
event-based corpuscular model (EBCM) [H. De Raedt et al.: J. Comput. Theor.
Nanosci. 8 (2011) 1052] of the interaction of photons with matter and quantum
mechanics. The test looks at the interference that results as a single photon
passes through a Mach-Zehnder interferometer [H. De Raedt et al.: J. Phys. Soc.
Jpn. 74 (2005) 16]. The experimental results, obtained with a low-noise
single-photon source [G. Brida et al.: Opt. Expr. 19 (2011) 1484], agree with
the predictions of standard quantum mechanics with a reduced $\chi^2$ of 0.98
and falsify the EBCM with a reduced $\chi^2$ of greater than 20.


title: Voros product and noncommutative inspired black holes

abstract:
  We emphasize the importance of the Voros product in defining noncommutative
inspired black holes. The computation of entropy for both the noncommutative
inspired Schwarzschild and Reissner-Nordstr\"{o}m black holes show that the
area law holds upto order $\frac{1}{\sqrt{\theta}}e^{-M^2/\theta}$. The leading
correction to the entropy (computed in the tunneling formalism) is shown to be
logarithmic. The Komar energy $E$ for these black holes is then obtained and a
deviation from the standard identity $E=2ST_H$ is found at the order
$\sqrt{\theta}e^{-M^2/\theta}$. This deviation leads to a nonvanishing Komar
energy at the extremal point $T_{H}=0$ of these black holes. The Smarr formula
is finally worked out for the noncommutative Schwarzschild black hole. Similar
features also exist for a deSitter--Schwarzschild geometry.


title: On the electron to proton mass ratio and the proton structure

abstract:
  We derive an expression for the electron to nucleon mass ratio from a
reinterpreted lattice gauge theory Hamiltonian to describe interior baryon
dynamics. We use the classical electron radius as our fundamental length scale.
Based on expansions on trigonometric Slater determinants for a neutral state a
specific numerical result is found to be less than three percent off the
experimental value for the neutron. Via the exterior derivative on the Lie
group configuration space u(3) we derive approximate parameter free parton
distribution functions that compare rather well with those for the u and d
valence quarks of the proton.


title: Minimal lepton flavour structures lead to non-maximal 2-3 mixing

abstract:
  Present data prefer a large but non-maximal 2-3 mixing in the lepton sector.
We argue that this value, in connection with $\sin\theta_{13}\simeq 0.15$, is
the generic outcome of minimal flavour structures. We present a few different
incarnations of this statement, in terms of lepton mass matrices depending on a
small number of parameters, that can be justified by discrete flavour
symmetries. We also propose a general procedure to study the correlation
between $\theta_{23}$, the absolute scale and ordering of the neutrino masses,
and the leptonic CP-violating phases.