title:
Nonlinear rheology of dense colloidal systems with short-ranged
  attraction: A mode-coupling theory analysis

abstract:
  The nonlinear rheology of glass-forming colloidal suspensions with
short-ranged attractions is discussed within the integration-through transients
framework combined with the mode-coupling theory of the glass transition
(ITT-MCT). Calculations are based on the square-well system (SWS), as a model
for colloid-polymer mixtures. The high-density regime featuring reentrant
melting of the glass upon increasing the attraction strength, and the crossover
from repulsive glasses formed at weak attraction to attractive glasses formed
at strong attraction, are discussed. Flow curves are found in qualitative
agreement with experimental data, featuring a strong increase in the yield
stress, and, for suitable interaction parameters, the crossover between two
yield stresses. The yield strain, defined as the position of the stress
overshoot under startup flow, is found to be proportional to the attraction
range for strong attraction. At weak and intermediate attraction strength, the
combined effects of hard-core caging and attraction-driven bonding result in a
richer dependence on the parameters. The first normal-stress difference
exhibits a weaker dependence on short-ranged attractions as the shear stress,
since the latter is more sensitive the short-wavelength features of the static
structure.


title: Leidenfrost Gas Ratchets Driven by Thermal Creep

abstract:
  We show that thermal creep is at the origin of the recently discovered
Leidenfrost ratchet, where liquid droplets float on a vapor layer along a
heated sawtooth surface and accelerate to velocities of up to 40 cm=s. As the
active element, the asymmetric temperature profile at each ratchet summit
rectifies the vapor flow in the boundary layer. This mechanism works at low
Reynolds number and provides a novel tool for controlling gas flow at
nanostructured surfaces.


title:
Microscopic interpolation formula for the Riemann $Z(t)$-function and
  new algorithm for asymptotic solution of some Diophantine equation with
  Leibnitz coefficients

abstract:
  In this paper we use the values of the Riemann $Z(t)$-function in order to
construct certain quasi-orthonormal system of vectors. On this basis we prove a
formula for microscopic interpolation of the function $Z(t)$. Simultaneously we
have obtained a new algorithm how to construct asymptotic solutions of
Diophantine equation with Leibnitz coefficients. This paper is English version
of the paper \cite{3} except the Appendix.


title:
Nonreciprocal Dispersion of Spin Waves in Ferromagnetic Thin Films
  Covered with a Finite-Conductivity Metal

abstract:
  We study the effect of one-side metallization of a uniform ferromagnetic thin
film on its spin-wave dispersion relation in the Damon-Eshbach geometry. Due to
the finite conductivity of the metallic cover layer on the ferromagnetic film
the spin-wave dispersion relation may be nonreciprocal only in a limited
wave-vector range. We provide an approximate analytical solution for the
spin-wave frequency, discuss its validity and compare it with numerical
results. The dispersion is analyzed systematically by varying the parameters of
the ferromagnetic film, the metal cover layer and the value of the external
magnetic field. The conclusions drawn from this analysis allow us to define a
structure based on a 30 nm thick CoFeB film with an experimentally accessible
nonreciprocal dispersion relation in a relatively wide wave-vector range.


title: Stokes-Einstein diffusion of colloids in nematics

abstract:
  We report the experimental observation of anisotropic diffusion of
polystyrene particles immersed in a lyotropic liquid crystal with two different
anchoring conditions. Diffusion is shown to obey the Stokes-Einstein law for
particle diameters ranging from 190 nm up to 2 micron. In the case of prolate
micelles, the beads diffuse four times faster along the director than in
perpendicular directions. In the theory part we present a perturbative approach
to the Leslie-Ericksen equations and relate the diffusion coefficients to the
Miesovicz viscosity parameters.We provide explicit formulas for the cases of
uniform director field and planar anchoring conditions which are then discussed
in view of the data. As a general rule, we find that the inequalities {\eta}b <
{\eta}a < {\eta}c, satisfied by various liquid crystals of rodlike molecules,
imply Dpar > Dperp.


title: Tomography by Fourier synthesis

abstract:
  We consider a particular approach to the regularization of the inverse
problem of computerized tomography. This approach is based on notions
pertaining to Fourier synthesis. It refines previous contributions, in which
the preprocessing of the data was performed according to the Fourier slice
theorem. Since real models must account for the geometrical system response and
possibly Compton scattering and attenuation, the Fourier slice theorem does not
apply, yielding redefinition of the preprocessing. In general, the latter is
not explicit, and must be performed numerically. The most natural choice of
preprocessing involves the computation of unstable solutions. A proximal
strategy is proposed for this step, which allows for accurate computations and
preserves global stability of the reconstruction process.


title: GPU-Accelerated BWT Construction for Large Collection of Short Reads

abstract:
  Advances in DNA sequencing technology have stimulated the development of
algorithms and tools for processing very large collections of short strings
(reads). Short-read alignment and assembly are among the most well-studied
problems. Many state-of-the-art aligners, at their core, have used the
Burrows-Wheeler transform (BWT) as a main-memory index of a reference genome
(typical example, NCBI human genome). Recently, BWT has also found its use in
string-graph assembly, for indexing the reads (i.e., raw data from DNA
sequencers). In a typical data set, the volume of reads is tens of times of the
sequenced genome and can be up to 100 Gigabases. Note that a reference genome
is relatively stable and computing the index is not a frequent task. For reads,
the index has to computed from scratch for each given input. The ability of
efficient BWT construction becomes a much bigger concern than before. In this
paper, we present a practical method called CX1 for constructing the BWT of
very large string collections. CX1 is the first tool that can take advantage of
the parallelism given by a graphics processing unit (GPU, a relative cheap
device providing a thousand or more primitive cores), as well as simultaneously
the parallelism from a multi-core CPU and more interestingly, from a cluster of
GPU-enabled nodes. Using CX1, the BWT of a short-read collection of up to 100
Gigabases can be constructed in less than 2 hours using a machine equipped with
a quad-core CPU and a GPU, or in about 43 minutes using a cluster with 4 such
machines (the speedup is almost linear after excluding the first 16 minutes for
loading the reads from the hard disk). The previously fastest tool BRC is
measured to take 12 hours to process 100 Gigabases on one machine; it is
non-trivial how BRC can be parallelized to take advantage a cluster of
machines, let alone GPUs.


title:
On the recent seismic activity at Kefalonia island (Greece):
  Manifestations of an Earth system in critical state

abstract:
  In this paper we show, in terms of fracture-induced electromagnetic emissions
(EME) that the Earth system around the focal areas came to critical condition a
few days before the occurrence of each one of the two recent earthquakes of
Kefalonia (Cephalonia), Greece. Specifically, EME were recorded two days prior
to the first earthquake [(38.22o N, 20.53oE), 26 January 2014, M=6.1] & six
days prior to the second one [(38.26o N, 20.39oE), 03 February 2014, M=6.0].
Specifically, the MHz EME recorded by the remote telemetric stations on the
island of Kefalonia and the neighboring island of Zante came simultaneously to
critical condition in both cases. The analysis was performed by means of the
method of critical fluctuations (MCF) revealing critical features.


title:
Investigating Dirty Crossover through Fidelity Susceptibility and
  Density of States

abstract:
  We investigate the BCS-BEC crossover in an ultracold atomic gas in the
presence of disorder. The disorder is incorporated in the mean-field formalism
through Gaussian fluctuations. We observe evolution to an asymmetric line-shape
of fidelity susceptibility as a function of interaction coupling with
increasing disorder strength which may point to an impending quantum phase
transition. The asymmetric line-shape is further analyzed using the statistical
tools of skewness and kurtosis. We extend our analysis to density of states
(DOS) for a better understanding of the crossover in the disordered
environment.


title: Distance to boundary and minimum-error discrimination

abstract:
  We introduce the concept of boundariness capturing the most efficient way of
expressing a given element of a convex set as a probability mixture of its
boundary elements. In other words, this number measures (without the need of
any explicit topology) how far the given element is from the boundary. It is
shown that one of the elements from the boundary can be always chosen to be an
extremal element. We focus on evaluation of this quantity for quantum sets of
states, channels and observables. We show that boundariness is intimately
related to (semi)norms that provide an operational interpretation of this
quantity. In particular, the minimum error probability for discrimination of a
pair of quantum devices is lower bounded by the boundariness of each of them.
We proved that for states and observables this bound is saturated and
conjectured this feature for channels. The boundariness is zero for
infinite-dimensional quantum objects as in this case all the elements are
boundary elements.


title:
Z2 phase diagram of three-dimensional disordered topological insulator
  via scattering matrix approach

abstract:
  The role of disorder in the field of three-dimensional time reversal
invariant topological insulators has become an active field of research
recently. However, the computation of Z2 invariants for large, disordered
systems still poses a considerable challenge. In this paper we apply and extend
a recently proposed method based on the scattering matrix approach, which
allows the study of large systems at reasonable computational effort with
few-channel leads. By computing the Z2 invariant directly for the disordered
topological Anderson insulator, we unambiguously identify the topological
nature of this phase without resorting to its connection with the clean case.
We are able to efficiently compute the Z2 phase diagram in the mass-disorder
plane. The topological phase boundaries are found to be well described by the
self consistent Born approximation, both for vanishing and finite chemical
potential.


title: On element orders in covers of finite simple groups of Lie type

abstract:
  By a proper cover of a finite group G we mean an extension of a nontrivial
finite group by G. Our purpose is to show that a proper cover of a finite
simple group L of Lie type always contains an element whose order differs from
the element orders of L provided that the Lie rank of L is sufficiently large.


title:
Propagators and Violation Functions for Geometric and Workload
  Constraints Arising in Airspace Sectorisation

abstract:
  Airspace sectorisation provides a partition of a given airspace into sectors,
subject to geometric constraints and workload constraints, so that some cost
metric is minimised. We make a study of the constraints that arise in airspace
sectorisation. For each constraint, we give an analysis of what algorithms and
properties are required under systematic search and stochastic local search.


title:
Triangular flow of thermal photons from an event-by-event hydrodynamic
  model for 2.76A TeV Pb+Pb collisions at LHC

abstract:
  We calculate the triangular flow parameter $v_3$ of thermal photons from an
event-by-event ideal hydrodynamic model for $0--40\%$ central collisions of Pb
nuclei at $\sqrt{s_{NN}}$=2.76 TeV at LHC. $v_3$ determined with respect to the
participant plane (PP) is found to be non-zero, positive and its $p_T$
dependence is qualitatively similar to the elliptic flow parameter $v_2$(PP) of
thermal photons in the range $1 \le p_T \le 6$ GeV/$c$. In the range $p_T \,
\le $ 3 GeV/$c$, $v_3$(PP) is found to be about $50--75\%$ of $v_2$(PP) and for
$p_T \, >$ 3 GeV/$c$ the two anisotropy parameters become comparable. The local
fluctuations in the initial density distribution as well as the initial global
geometry of the produced matter in the event-by-event hydrodynamic framework
are responsible for this substantial value of $v_3({\rm PP})$. However, as
expected, the triangular flow parameter calculated with respect to the reaction
plane $v_3$(RP) is found to be close to zero. We show that $v_3$(PP) strongly
depends on the value of the fluctuation size scale $\sigma$ especially in the
higher $p_T \, (\ge 3 {\rm GeV}/c)$ region where a larger value of $\sigma$
results in a smaller $v_3({\rm PP})$. In addition, the $v_3{\rm (PP)}$ is found
to increase with the assumed formation time of the thermalized system.


title: Free Core Nutation observed by VLBI

abstract:
  The signature of free core nutation (FCN) is found in the motion of the
celestial intermediate pole in the celestial reference frame and in the
resonance behaviour of the frequency-dependent Earth tidal displacement in its
diurnal band. We focus on estimation of the FCN parameters, i.e. the period and
amplitude. We run several global adjustments of 27 years of very long baseline
interferometry (VLBI) data (1984.0 - 2011.0) to determine the FCN period from
partial derivatives of the VLBI observables with respect to the FCN as
contained in the nutation of the celestial intermediate pole and in the solid
Earth tidal displacement in the diurnal band. Finally, we estimate the FCN
period by a global adjustment from both phenomena simultaneously, which has not
been done before. We find that our estimate of the FCN period of -431.18 +/-
0.10 sidereal days slightly deviates from the conventional value of -431.39
sidereal days. Additionally, we present our empirical model of the FCN with
variable amplitude and phase compatible with the estimated period.


title: On deformations of curves supported on rigid divisors

abstract:
  Motivated by a conjecture of Xiao, we study supporting divisors of fibred
surfaces. On the one hand, after developing a formalism to treat
one-dimensional families of varieties of any dimension, we give a structure
theorem for fibred surfaces supported on relatively rigid divisors. On the
other hand, we study how to produce supporting divisors by constructing a
global adjoint map for a fibration over a curve (generalizing the infinitesimal
constructions of Collino, Pirola, Rizzi and Zucconi).


title: Uniqueness for some classes of parabolic problems

abstract:
  We prove some uniqueness results for weak solutions to some classes of
parabolic Dirichlet problems.


title: Modular Class of a Lie algebroid with a Nambu structure

abstract:
  In this paper, we introduce the notion of modular class of a Lie algebroid
$A$ equipped with a Nambu structure satisfying some suitable hypothesis. We
also introduce cohomology and homology theories for such Lie algebroids and
prove that these theories are connected by a duality isomorphism when the
modular class is null.


title:
Giant Seebeck coefficient in semiconducting single-wall carbon nanotube
  film

abstract:
  We found a giant Seebeck effect in semiconducting single-wall carbon nanotube
(SWCNT) films, which exhibited a performance comparable to that of commercial
Bi2Te3 alloys. Carrier doping of semiconducting SWCNT films further improved
the thermoelectric performance. These results were reproduced well by
first-principles transport simulations based on a simple SWCNT junction model.
These findings suggest strategies that pave the way for emerging printed,
all-carbon, flexible thermoelectric devices.


title: Entangled photons from on-chip slow light

abstract:
  We report the first entanglement generation experiment using an on-chip slow
light device. With highly efficient spontaneous four-wave mixing enhanced by
the slow light effect in a coupled resonator optical waveguide based on a
silicon photonic crystal, we generated 1.5-$\mu$m-band high-dimensional
time-bin entangled photon pairs. We undertook two-photon interference
experiments and observed the coincidence fringes with visibilities $>74\%$. The
present result enables us to realize an on-chip entanglement source with a very
small footprint, which is an essential function for quantum information
processing based on integrated quantum photonics.


title: Space-efficient Verifiable Secret Sharing Using Polynomial Interpolation

abstract:
  Preserving data confidentiality in clouds is a key issue. Secret Sharing, a
cryptographic primitive for the distribution of a secret among a group of $n$
participants designed so that only subsets of shareholders of cardinality $0 <
t \leq n$ are allowed to reconstruct the secret by pooling their shares, can
help mitigating and minimizing the problem. A desirable feature of Secret
Sharing schemes is cheater detection, i.e. the ability to detect one or more
malicious shareholders trying to reconstruct the secret by obtaining legal
shares from the other shareholders while providing them with fake shares.
Verifiable Secret Sharing schemes solve this problem by allowing shareholders
verifying the others' shares. We present new verification algorithms providing
arbitrary secret sharing schemes with cheater detection capabilities, and prove
their space efficiency with regard to other schemes appeared in the literature.
We also introduce, in one of our schemes, the Exponentiating Polynomial Root
Problem (EPRP), which is believed to be NP-Intermediate and therefore
difficult.


title: Computable negativity in two mode squeezing subject to dissipation

abstract:
  We study a system of two bosonic fields subject to two-mode squeezing in the
presence of dissipation. We find the Lie algebra governing the dynamics of the
problem and use the Wei-Norman method to determine the solutions. Using this
scheme we arrive at a closed form expression for an infinitely dimensional
density operator which we use to calculate the degree of entanglement
(quantified by Horodeckis' negativity) between the modes. We compare our result
to the known continuous variable entanglement measures. We analyse the
conditions for entanglement generation and the influence of thermal
environments on the state formed. The problem is relevant, in particular, for
understanding of quantum dynamics of coupled optical and/or mechanical modes in
optomechanical and nanomechanical systems.


title:
Breaking mechanism from a vacuum point in the defocusing nonlinear
  Schroedinger equation

abstract:
  We study the wave breaking mechanism for the weakly dispersive defocusing
nonlinear Schroedinger (NLS) equation with a constant phase dark initial datum
that contains a vacuum point at the origin. We prove by means of the exact
solution to the initial value problem that, in the dispersionless limit, the
vacuum point is preserved by the dynamics until breaking occurs at a finite
critical time. In particular, both Riemann invariants experience a simultaneous
breaking at the origin. Although the initial vacuum point is no longer
preserved in the presence of a finite dispersion, the critical behaviour
manifests itself through an abrupt transition occurring around the breaking
time.


title: The phenotypic expansion and its boundaries

abstract:
  The development of sport performances in the future is a subject of myth and
disagreement among experts. As arguments favoring and opposing such methodology
were discussed, other publications empirically showed that the past development
of performances followed a non linear trend. Other works, while deeply
exploring the conditions leading to world records, highlighted that performance
is tied to the economical and geopolitical context. Here we investigated the
following human boundaries: development of performances with time in Olympic
and non-Olympic events, development of sport performances with aging among
humans and others species (greyhounds, thoroughbreds, mice). Development of
performances from a broader point of view (demography & lifespan) in a specific
sub-system centered on primary energy was also investigated. We show that the
physiological developments are limited with time. Three major and direct
determinants of sport performance are age, technology and climatic conditions
(temperature). However, all observed developments are related to the
international context including the efficient use of primary energies. This
last parameter is a major indirect propeller of performance development. We
show that when physiological and societal performance indicators such as
lifespan and population density depend on primary energies, the energy source,
competition and mobility are key parameters for achieving long term sustainable
trajectories. Otherwise, the vast majority (98.7%) of the studied trajectories
reaches 0 before 15 generations, due to the consumption of fossil energy and a
low mobility rate. This led us to consider that in the present turbulent
economical context and given the upcoming energy crisis, societal and physical
performances are not expected to grow continuously.


title:
Existence results for second-order monotone differential inclusions on
  the positive half-line

abstract:
  Consider in a real Hilbert space $H$ the differential equation (inclusion)
$(E)$: $p(t)u^{\prime \prime}(t)+q(t)u^{\prime}(t)\in Au(t)+f(t)$ for a.a.
$t>0$, with the condition $(B)$: $u(0)=x \in \overline{D(A)}$, where $A\colon
D(A)\subset H\rightarrow H$ is a (possibly set-valued) maximal monotone
operator whose range contains $0$; $p,q\in L^{\infty}(0,\infty)$, with
$\mathrm{ess} \inf \ p>0$ and $q^+ \in L^1(0, \infty)$. Existence in the
non-homogeneous case has received less attention. On the other hand, much
attention has been paid by several authors to the asymptotic behavior of
bounded solutions (if they exist) as $t\rightarrow \infty $, both in the
homogeneous and nonhomogeneous case. Recently, I established jointly with H.
Khatibzadeh [Set-Valued Var. Anal. DOI 10.1007/s11228-013-0270-3] the existence
of (weak and strong) bounded solutions to $(E)$, $(B)$, in the case $p \equiv
1$, $q\equiv 0$, under the optimal condition $tf(t) \in L^1(0,\infty ; H)$. In
this paper, this result is extended to the general case of non-constant
functions $p, \, q$ satisfying the mild conditions above, thus compensating for
the lack of existence theory for such kind of second order problems. Note that
our results open up the possibility to apply Lions' method of artificial
viscosity towards approximating the solutions of some nonlinear parabolic and
hyperbolic problems, as shown in the last section of the paper.


title: Cyclopermutohedron

abstract:
  It is known that the $k$-faces of the permutohedron $\Pi_n$ are labeled by
(all possible) linearly ordered partitions of the set $[n]=\{1,...,n\}$ into
$(n-k)$ non-empty parts. The incidence relation corresponds to the refinement:
a face $F$ contains a face $F'$ whenever the label of $F'$ refines the label of
$F$. In the paper we consider the cell complex ${CP}$ defined in analogous way,
replacing linear ordering by cyclic ordering. Namely, $k$-cells of the complex
${CP}$ are labeled by (all possible) cyclically ordered partitions of the set
$[n+1]=\{1,...,n, n+1\}$ into $(n+1-k)$ non-empty parts, where $(n+1-k)>2$. The
incidence relation again corresponds to the refinement: a cell $F$ contains a
cell $F'$ whenever the label of $F'$ refines the label of $F$. In particular,
two vertices are joined by an edge whenever their labels differ on a
permutation of two neighbor elements. The complex ${CP}$ cannot be represented
by a convex polytope, since it is not a combinatorial sphere (not even a
combinatorial manifold). However, it can be represented by some \textit{virtual
polytope} (Minkowski difference of two convex polytopes) which we call
"cyclopermutohedron" $\mathcal{CP}_{n+1}$. It is defined explicitly, as a
weighted Minkowski sum of line segments. Informally, the cyclopermutohedron can
be viewed as "permutohedron with diagonals". One of the motivations is that the
cyclopermutohedron is a "universal" polytope for moduli spaces of polygonal
linkages.


title:
Iterative construction of eigenfunctions of the monodromy matrix for
  SL(2,C) magnet

abstract:
  Eigenfunctions of the matrix elements of the monodromy matrix provide a
convenient basis for studies of spin chain models. We present an iterative
method for constructing the eigenfunctions in the case of the SL(2,C) spin
chains. We derived an explicit integral representation for the eigenfunctions
and calculated the corresponding scalar products (Sklyanin's measure).


title:
The Norma cluster (ACO3627) -- III. The Distance and Peculiar Velocity
  via the Near-Infrared Ks-band Fundamental Plane

abstract:
  While Norma (ACO3627) is the richest cluster in the Great Attractor (GA)
region, its role in the local dynamics is poorly understood. The Norma cluster
has a mean redshift (z_CMB) of 0.0165 and has been proposed as the "core" of
the GA. We have used the Ks-band Fundamental Plane (FP) to measure Norma
cluster's distance with respect to the Coma cluster. We report FP photometry
parameters (effective radii and surface brightnesses), derived from ESO NTT
SOFI images, and velocity dispersions, from AAT 2dF spectroscopy, for 31
early-type galaxies in the cluster. For the Coma cluster we use 2MASS images
and SDSS velocity dispersion measurements for 121 early-type galaxies to
generate the calibrating FP dataset. For the combined Norma-Coma sample we
measure FP coefficients of a=1.465+/-0.059 and b=0.326+/-0.020. We find an rms
scatter, in log(central velocity dispersion) of 0.08 dex which corresponds to a
distance uncertainty of 28% per galaxy. The zero point offset between Norma's
and Coma's FPs is 0.154+/-0.014 dex. Assuming that the Coma cluster is at rest
with respect to the cosmic microwave background frame and z_CMB(Coma)=0.0240,
we derive a distance to the Norma cluster of 5026+/-160 km/s, and the derived
peculiar velocity is -72+/-170 km/s, i.e., consistent with zero. This is lower
than previously reported positive peculiar velocities for
clusters/groups/galaxies in the GA region and hence the Norma cluster may
indeed represent the GA's "core".


title:
Nucleosynthesis in helium-enriched asymptotic giant branch models:
  Implications for Heavy Element Enrichment in Omega Centauri

abstract:
  We investigate the effect of helium enrichment on the evolution and
nucleosynthesis of low-mass asymptotic giant branch (AGB) stars of 1.7Msun and
2.36Msun with a metallicity of Z=0.0006 ([Fe/H] = -1.4). We calculate
evolutionary sequences with the primordial helium abundance (Y = 0.24) and with
helium-enriched compositions (Y = 0.30, 0.35, 0.40). For comparison we
calculate models of the same mass but at a lower metallicity Z=0.0003 ([Fe/H] =
-1.8) with Y=0.24. Post-processing nucleosynthesis calculations are performed
on each of the evolutionary sequences to determine the production of elements
from hydrogen through to bismuth. Elemental surface abundance predictions and
stellar yields are presented for each model. The models with enriched helium
have shorter main sequence and AGB lifetimes, and enter the AGB with a more
massive hydrogen exhausted core than the primordial helium model. The main
consequences are 1) low-mass AGB models with enhanced helium will evolve more
than twice as fast, giving them the chance to contribute sooner to the chemical
evolution of the forming globular clusters, and 2) the stellar yields will be
strongly reduced relative to their primordial helium counterparts. An increase
of Delta Y = 0.10 at a given mass decreases the yields of carbon by up to ~60%,
of fluorine by up to 80%, and decreases the yields of the s-process elements
barium and lanthanum by about 45%. While the yields of first s-process peak
elements strontium, yttrium and zirconium decrease by up to 50%, the yields of
rubidium either do not change or increase.


title: NP is contained in DTIME(n^O(log^{gamma}))

abstract:
  We use existential Diophantine predicates carefully reinterpreted over the
reals and the time complexity of Tarski algebra to show that 3-CNF SAT is in
n^O(log^{gamma} n) time for an absolute positive constant gamma.


title: Quasi-free photoproduction of pion-pairs off protons and neutrons

abstract:
  Beam-helicity asymmetries and mass-differential cross sections have been
measured at the MAMI accelerator in Mainz for the photoproduction of neutral
and mixed-charge pion pairs in the reactions $\boldsymbol{\gamma}p\rightarrow
n\pi^0\pi^+$ and $\boldsymbol{\gamma}p\rightarrow p\pi^0\pi^0$ off free protons
and $\boldsymbol{\gamma}d \rightarrow (p)p\pi^0\pi^-$,
$\boldsymbol{\gamma}d\rightarrow (n)p\pi^0\pi^0$ and
$\boldsymbol{\gamma}d\rightarrow (n)n\pi^0\pi^+$,
$\boldsymbol{\gamma}d\rightarrow (p)n \pi^0\pi^0$ off quasi-free nucleons bound
in the deuteron for incident photon energies up to 1.4 GeV. Circularly
polarized photons were produced in bremsstrahlung processes of longitudinally
polarized electrons and tagged with the Glasgow-Mainz magnetic spectrometer.
The decay products (photons, protons, neutrons, and charged pions) were
detected in the $4\pi$ electromagnetic calorimeter composed of the Crystal Ball
and TAPS detectors. Using a full kinematic reconstruction of the final state,
excellent agreement was found between the results for free and quasi-free
protons, indicating that the quasi-free neutron results are also a close
approximation of the free-neutron results. Comparisons of the results to
predictions from model calculations suggest that especially the reaction
mechanisms in the production of the mixed-charge final states are still not
well understood, in particular at low incident photon energies in the second
nucleon resonance region.


title:
Possible critical regions for the ground state of a Bose gas in a
  spherical trap

abstract:
  With the help of perturbation theory, we study the ground state of a Bose gas
in a spherical trap, using the solution in the Thomas--Fermi approximation as
the zero approximation. We have found within a certain approximation that, in
some very narrow intervals of values of the magnetic field of a trap, the
solution deviates strongly from that in the Thomas--Fermi approximation. If the
magnetic field is equal to one of such critical values, the size (or even the
shape) of the condensate cloud should significantly differ from the
Thomas--Fermi one.


title: Secure SAML validation to prevent XML signature wrapping attacks

abstract:
  SAML assertions are becoming popular method for passing authentication and
authorisation information between identity providers and consumers using
various single sign-on protocols. However their practical security strongly
depends on correct implementation, especially on the consumer side. Somorovsky
and others have demonstrated a number of XML signature related vulnerabilities
in SAML assertion validation frameworks. This article demonstrates how bad
library documentation and examples can lead to vulnerable consumer code and how
this can be avoided.


title: An Introduction to A-polynomials and their Mahler Measures

abstract:
  These are the notes of the three lectures I delivered at the mini-workshop
"Knot Theory and Number Theory around the A-Polynomial" at the Instituto
Superior Tecnico (IST) in Lisbon in January 2014. The goal of the lectures was
to familiarize, both the author and, the audience with the A-polynomials and
the connection between the Mahler measures of A-polynomials and volumes. The
style of these notes is expository, written informally with the aim of giving a
flavor of the subject with ample amount of references to direct the interest
readers to the details.


title: Superimposed Codes and Threshold Group Testing

abstract:
  We will discuss superimposed codes and non-adaptive group testing designs
arising from the potentialities of compressed genotyping models in molecular
biology. The given paper was motivated by the 30th anniversary of
D'yachkov-Rykov recurrent upper bound on the rate of superimposed codes
published in 1982. We were also inspired by recent results obtained for
non-adaptive threshold group testing which develop the theory of superimposed
codes


title: Use HMM and KNN for classifying corneal data

abstract:
  These days to gain classification system with high accuracy that can classify
complicated pattern are so useful in medicine and industry. In this article a
process for getting the best classifier for Lasik data is suggested. However at
first it's been tried to find the best line and curve by this classifier in
order to gain classifier fitting, and in the end by using the Markov method a
classifier for topographies is gained.


title: Primitive geodesic lengths and (almost) arithmetic progressions

abstract:
  In this article, we investigate when the set of primitive geodesic lengths on
a Riemannian manifold have arbitrarily long arithmetic progressions. We prove
that in the space of negatively curved metrics, a metric having such arithmetic
progressions is quite rare. We introduce almost arithmetic progressions, a
coarsification of arithmetic progressions, and prove that every negatively
curved, closed Riemannian manifold has arbitrarily long almost arithmetic
progressions in its primitive length spectrum. Concerning genuine arithmetic
progressions, we prove that every non-compact, locally symmetric, arithmetic
manifold has arbitrarily long arithmetic progressions in its primitive length
spectrum. We end with a conjectural characterization of arithmeticity in terms
of arithmetic progressions in the primitive length spectrum. We also suggest an
approach to a well known spectral rigidity problem based on the scarcity of
manifolds with arithmetic progressions.


title:
Multi-orbital cluster dynamical mean-field theory with an improved
  continuous-time quantum Monte Carlo algorithm

abstract:
  We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by
improving a sample-update algorithm in the continuous-time quantum Monte Carlo
method based on the interaction expansion. The proposed sampling scheme for the
spin-flip and pair-hopping interactions in the two-orbital systems mitigates
the sign problem, giving an efficient way to deal with these interactions. In
particular, in the single-site DMFT, we see that the negative signs vanish. We
apply the method to the two-dimensional two-orbital Hubbard model at half
filling, where we take into account the short-range spatial correlation effects
within a four-site cluster. We show that, compared to the single-site DMFT
results, the critical interaction value for the metal-insulator transition
decreases and that the effects of the spin-flip and pair-hopping terms are less
significant in the parameter region we have studied. The present method
provides a firm starting point for the study of inter-site correlations in
multi-orbital systems. It also has a wide applicable scope in terms of
realistic calculations in conjunction with density functional theory.


title:
Physical Nature and Timing Variations of the Eclipsing System V407
  Pegasi

abstract:
  New multiband CCD photometry is presented for V407 Peg; the $R_{\rm C}$ light
curves are the first ever compiled. Our light curves, displaying a flat bottom
at secondary minimum and an O'Connell effect, were simultaneously analyzed with
the radial-velocity (RV) curves given by Rucinski et al. (2008). The light
changes of the system are best modeled by using both a hot spot on the
secondary star and a third light. The model represents historical light curves
also. All available minimum epochs, including our six timing measurements, have
been examined and indicate that the eclipse timing variation is mainly caused
by light asymmetries due to the spot activity detected in the light-curve
synthesis. The hot spot may be produced as a result of the impact of the gas
stream from the primary star. Our light and velocity solutions indicate that
V407 Peg is a totally-eclipsing A-type overcontact binary with values of
$q$=0.251, $i$=87$^\circ.6$, $\Delta T$=496 K, $f$=61 $\%$, and
$l_3$=11$\sim$16 $\%$. Individual masses and radii of both components are
determined to be $M_1$=1.72 M$_\odot$, $M_2$=0.43 M$_\odot$, $R_1$=2.15
R$_\odot$, and $R_2$=1.21 R$_\odot$. These results are very different from
previous ones, which is probably caused by the light curves with distorted and
inclined eclipses used in those other analyses. The facts that there are no
objects optically related with the system and that the seasonal RVs show a
large discrepancy in systemic velocity indicate that the third light source
most likely arises from a tertiary component orbiting the eclipsing pair.


title:
The Formation of Jupiter, the Jovian Early Bombardment and the Delivery
  of Water to the Asteroid Belt: The Case of (4) Vesta

abstract:
  The asteroid (4) Vesta, parent body of the Howardite-Eucrite-Diogenite
meteorites, is one of the first bodies that formed, mostly from
volatile-depleted material, in the Solar System. The Dawn mission recently
provided evidence that hydrated material was delivered to Vesta, possibly in a
continuous way, over the last 4 Ga, while the study of the eucritic meteorites
revealed a few samples that crystallized in presence of water and volatile
elements. The formation of Jupiter and probably its migration occurred in the
period when eucrites crystallized, and triggered a phase of bombardment that
caused icy planetesimals to cross the asteroid belt. In this work, we study the
flux of icy planetesimals on Vesta during the Jovian Early Bombardment and,
using hydrodynamic simulations, the outcome of their collisions with the
asteroid. We explore how the migration of the giant planet would affect the
delivery of water and volatile materials to the asteroid and we discuss our
results in the context of the geophysical and collisional evolution of Vesta.
In particular, we argue that the observational data are best reproduced if the
bulk of the impactors was represented by 1-2 km wide planetesimals and if
Jupiter underwent a limited (a fraction of au) displacement.


title: Observational constraints on dual intermediate inflation

abstract:
  We explore the observational implications of models of intermediate inflation
driven by modified dispersion relations, specifically those representing the
phenomenon of dimensional reduction in the ultraviolet limit. These models are
distinct from the standard ones because they do not require violations of the
strong energy condition, and this is reflected in their structure formation
properties. We find that they can naturally accommodate deviations from exact
scale-invariance. They also make clear predictions for the running of the
spectral index and tensor modes, rendering the models straightforwardly
falsifiable. We discuss the observational prospects for these models and the
implications these may have for quantum gravity scenarios.


title: Lectures on DNA Codes

abstract:
  For $q$-ary $n$-sequences, we develop the concept of similarity functions
that can be used (for $q=4$) to model a thermodynamic similarity on DNA
sequences. A similarity function is identified by the length of a longest
common subsequence between two $q$-ary $n$-sequences. Codes based on similarity
functions are called DNA codes. DNA codes are important components in
biomolecular computing and other biotechnical applications that employ DNA
hybridization assays. The main aim of the given lecture notes -- to discuss
lower bounds on the rate of optimal DNA codes for a biologically motivated
similarity function called a block similarity and for the conventional deletion
similarity function used in the theory of error-correcting codes. We also
present constructions of suboptimal DNA codes based on the parity-check code
detecting one error in the Hamming metric.


title: Thermocharge of a hot spot in an electrolyte solution

abstract:
  We discuss the thermoelectric properties of a locally heated micron-size
volume in an electrolyte solution. We find that such a hot spot carries a net
charge Q which, for an excess temperature of 10 K, may attain hundreds of
elementary charges. The corresponding Seebeck electric field E increases
linearly with the radius r inside the heated area, then goes through a maximum,
and decays as 1/r2 at larger distances. Our results could be relevant to
optothermal actuation of electrolytes and colloidal suspensions.


title:
Comparing the Performance of Different x86 SIMD Instruction Sets for a
  Medical Imaging Application on Modern Multi- and Manycore Chips

abstract:
  Single Instruction, Multiple Data (SIMD) vectorization is a major driver of
performance in current architectures, and is mandatory for achieving good
performance with codes that are limited by instruction throughput. We
investigate the efficiency of different SIMD-vectorized implementations of the
RabbitCT benchmark. RabbitCT performs 3D image reconstruction by back
projection, a vital operation in computed tomography applications. The
underlying algorithm is a challenge for vectorization because it consists,
apart from a streaming part, also of a bilinear interpolation requiring
scattered access to image data. We analyze the performance of SSE (128 bit),
AVX (256 bit), AVX2 (256 bit), and IMCI (512 bit) implementations on recent
Intel x86 systems. A special emphasis is put on the vector gather
implementation on Intel Haswell and Knights Corner microarchitectures. Finally
we discuss why GPU implementations perform much better for this specific
algorithm.


title: On the Poincar\'e Lemma for reflexive differential forms

abstract:
  In this paper we study the cohomology of the de Rham complex of sheaves of
reflexive differential forms on a normal complex space. First, we prove that
the complex is exact in degree one under suitable conditions on the underlying
topological space, but that exactness in general depends on the complex
structure. Second, we show exactness in high degrees for holomorphically
contractible spaces under mild assumptions on the nature of singularities, e.g.
klt singularities.
  Subsequently, the exactness of the de Rham complex of reflexive differential
forms is related to the Lipman-Zariski conjecture and the failure of vanishing
theorems of Kodaira-Akizuki-Nakano type on singular spaces.


title:
Microeconomic Structure determines Macroeconomic Dynamics. Aoki defeats
  the Representative Agent

abstract:
  Masanao Aoki developed a new methodology for a basic problem of economics:
deducing rigorously the macroeconomic dynamics as emerging from the
interactions of many individual agents. This includes deduction of the fractal
/ intermittent fluctuations of macroeconomic quantities from the granularity of
the mezo-economic collective objects (large individual wealth, highly
productive geographical locations, emergent technologies, emergent economic
sectors) in which the micro-economic agents self-organize.
  In particular, we present some theoretical predictions, which also met
extensive validation from empirical data in a wide range of systems: - The
fractal Levy exponent of the stock market index fluctuations equals the Pareto
exponent of the investors wealth distribution. The origin of the macroeconomic
dynamics is therefore found in the granularity induced by the wealth / capital
of the wealthiest investors. - Economic cycles consist of a Schumpeter
'creative destruction' pattern whereby the maxima are cusp-shaped while the
minima are smooth. In between the cusps, the cycle consists of the sum of 2
'crossing exponentials': one decaying and the other increasing.
  This unification within the same theoretical framework of short term market
fluctuations and long term economic cycles offers the perspective of a genuine
conceptual synthesis between micro- and macroeconomics. Joining another giant
of contemporary science - Phil Anderson - Aoki emphasized the role of rare,
large fluctuations in the emergence of macroeconomic phenomena out of
microscopic interactions and in particular their non self-averaging, in the
language of statistical physics. In this light, we present a simple stochastic
multi-sector growth model.


title:
Raman spectroscopic detection of rapid, reversible, early-stage
  inflammatory cytokine-induced apoptosis of adult hippocampal progenitors/stem
  cells

abstract:
  The role of neuro-inflammation in diverse, acute and chronic brain
pathologies is being increasingly recognized. Neuro-inflammation is accompanied
by increased levels of both pro- and anti-inflammatory cytokines; these have
deleterious as well as protective/reparative effects. Inflammation has varying
effects on neurogenesis and is a subject of intense contemporary interest. We
show that TNF-alpha and IFN-gamma, used concomitantly, cause apoptosis of adult
rat hippocampal progenitor/stem cells in vitro as detected by the TUNEL and MTT
assays on time scales of several hours. We have coupled Raman spectroscopy to
an optical trap to probe early changes of apoptosis in single, live neural stem
cells that have been treated with pro-inflammatory cytokines, TNF-alpha and
IFN-gamma. Changes caused by inflammation-induced denaturation of DNA are
observed in the Raman spectra that correspond to very early stages of
apoptosis, occurring on very fast time scales: as short as 10 minutes. Addition
of the anti-inflammatory cytokine IL-10 either 10-30 min before or 10-30 min
after treatment with TNF-alpha and IFN-gamma reverses the changes
substantially. Our findings imply that inflammation can induce very rapid
changes leading to cell death but that these are reversible, in the early
stages at least.

categories: physics.bio-ph physics.chem-ph physics.med-ph q-bio.TO


title:
Systems of word equations, polynomials and linear algebra: A new
  approach

abstract:
  We develop a new tool, namely polynomial and linear algebraic methods, for
studying systems of word equations. We illustrate its usefulness by giving
essentially simpler proofs of several hard problems. At the same time we prove
extensions of these results. Finally, we obtain the first nontrivial upper
bounds for the fundamental problem of the maximal size of independent systems.
These bounds depend quadratically on the size of the shortest equation. No
methods of having such bounds have been known before.


title:
A Comparison with two semantic sensor data storages in total data
  transmission

abstract:
  The creation of small and cheap sensors promoted the emergence of large scale
sensor networks. Sensor networks allow monitoring a variety of physical
phenomena, like weather conditions (temperature, humidity, atmospheric pressure
...), traffic levels on highways or rooms occupancy in public buildings. Some
of the sensors produce large volume of data such as weather temperature. These
data should be stored somewhere for user queries. In this paper two known
sensor data storage methods that store data semantically has been compared and
it has been shown that storing data in ontology form consumes more energy so
the lifetime of sensor network would decreases. The reason we choose them is
that they are useful and popular.


title:
Equivalence between an extension of teleparallelism to a Weyl geometry
  and general relativity

abstract:
  Recently, an extension of teleparallelism to a Weyl geometry which allows us
to easily establish conformal invariance and "geometrize" electromagnetism has
been presented. In this paper, I extend a result which concerns the existence
of the Schwarzschild solution to a particular class of this extension. In
addition, I obtain the field equations of some models based on this extension,
including the one which is equivalent to Einstein's field equations with a
massless scalar field.


title:
Characterization of compact monotonically ($\omega$)-monolithic spaces
  using system of retractions

abstract:
  We prove that a compact space is monotonically Sokolov if and only if it is
monotonically $\omega$-monolithic. This gives answers to several questions of
R. Rojas-Hernandez and V. V. Tkachuk.


title: Xiao's conjecture for general fibred surfaces

abstract:
  We prove that the genus $g$, the relative irregularity $q_f$ and the Clifford
index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq
g - c_f$. This gives in particular a proof of Xiao's conjecture for fibrations
whose general fibres have maximal Clifford index.


title:
Towards computing the lepton and quark mass spectra and their
  consequences

abstract:
  We demonstrate that the chiral gauge flavor $SU(3)_f$ dynamics spontaneously
generates the chiral symmetry breaking fermion self energies $\Sigma(p^2)$
resulting in wide and wild spectra of lepton and quark masses. The Goldstone
theorem then necessarily implies: (1) Gauge bosons of gauged chiral symmetries
absorb the underlying 'would-be' Nambu-Goldstone (NG) bosons and become
massive. Masses are determined by $\Sigma(p^2)$s of those fermions to which
they couple, and by the corresponding gauge coupling constants. (2) Charges of
anomalous Abelian chiral fermion currents create composite mixed-parity pseudo
NG bosons with calculable couplings to fermions and gauge bosons: (i) the
Higgs-looking $h$ with mass due to the $SU(3)_f$ instanton; (ii) the
Weinberg-Wilczek axion $a$ with mass due to the QCD instanton; (iii) the
Anselm-Uraltsev arion $b$ with mass due to the electroweak instanton. (3) There
are the true composite NG bosons, the majorons.


title:
Pseudoconformal structures and the example of Falbel's Cross--Ratio
  variety

abstract:
  We introduce pseudoconformal structures on 4--dimensional manifolds and study
their properties. Such structures are arising from two different complex
operators which agree in a 2--dimensional subbundle of the tangent bundle; this
subbundle thus forms a codimension 2 ${\rm CR}$ structure. A special case is
that of a strictly pseudoconformal structure: in this case, the two complex
operators are also opposite in a 2-dimensional subbundle which is complementary
to the ${\rm CR}$ structure. A non trivial example of a manifold endowed with a
(strictly) pseudoconformal structure is Falbel's cross--ratio variety
$\mathfrak{X}$; this variety is isomorphic to the ${\rm PU}(2,1)$ configuration
space of quadruples of pairwise distinct points in $S^3$. We first prove that
there are two complex structures that appear naturally in $\mathfrak{X}$; these
give $\mathfrak{X}$ a pseudoconformal structure which coincides with its well
known ${\rm CR}$ structure. Using a non trivial involution of $\mathfrak{X}$ we
then prove that $\mathfrak{X}$ is a strictly pseudoconformal manifold. The
geometric meaning of this involution as well as its interconnections with the
$\rm{CR}$ and complex structures of $\mathfrak{X}$ are also studied here in
detail.


title: Lectures on Designing Screening Experiments

abstract:
  Designing Screening Experiments (DSE) is a class of information - theoretical
models for multiple - access channels (MAC). We discuss the combinatorial model
of DSE called a disjunct channel model. This model is the most important for
applications and closely connected with the superimposed code concept. We give
a detailed survey of lower and upper bounds on the rate of superimposed codes.
The best known constructions of superimposed codes are considered in paper. We
also discuss the development of these codes (non-adaptive pooling designs)
intended for the clone - library screening problem. We obtain lower and upper
bounds on the rate of binary codes for the combinatorial model of DSE called an
adder channel model. We also consider the concept of universal decoding for the
probabilistic DSE model called a symmetric model of DSE.


title:
Enhancement of Tc by uniaxial lattice contraction in BiS2-based
  superconductor PrO0.5F0.5BiS2

abstract:
  We investigated the crystal structure and superconducting properties of
As-grown and high-pressure-annealed PrO0.5F0.5BiS2. We found that the
high-pressure annealing generates uniaxial lattice contraction along the c
axis. Both As-grown and high-pressure-annealed PrO0.5F0.5BiS2 show bulk
superconductivity. The Tc of PrO0.5F0.5BiS2 is clearly enhanced from Tczero =
3.6 K to Tczero = 5.5 K by high-pressure annealing. Unexpectedly, the
semiconducting characteristics is relatively enhanced by high-pressure
annealing. Namely, we assume that the enhancement of Tc can not be understood
by an increase of electron carriers. Having considered these facts, we conclude
that the enhancement of Tc correlates with uniaxial lattice contraction along
the c axis in PrO0.5F0.5BiS2.


title:
Analytic matrix elements for the two-electron atomic basis with
  logarithmic terms

abstract:
  The two-electron problem for the helium-like atom/ions in $S$-state is
considered. The basis containing the integer powers of $\ln r$, where $r$ is a
radial variable of the Fock expansion, is studied. In this basis, the analytic
expressions for the matrix elements of the corresponding Hamiltonian are
presented. These expressions include only special functions presented by the
built-in $Mathematica$ codes, what enables very fast and accurate computation
of the matrix elements. The decisive contribution of the correct logarithmic
terms to the behavior of the two-electron wave function in the vicinity of the
triple-coalescence point is reaffirmed.

categories: math-ph math.MP physics.atom-ph physics.comp-ph


title:
Two Models of Nonadaptive Group Testing for Designing Screening
  Experiments

abstract:
  We discuss two non-standard models of nonadaptive combinatorial search which
develop the conventional disjunct search model for a small number of defective
elements contained in a finite ground set or a population. The first model is
called a search of defective supersets. The second model is called a search of
defective subsets in the presence of inhibitors. For these models, we study the
constructive search methods based on the known constructions for the disjunct
model.


title: Composition operators on weighted Bergman spaces of Dirichlet series

abstract:
  We study boundedness and compactness of composition operators on weighted
Bergman spaces of Dirichlet series. Particularly, we obtain in some specific
cases, upper and lower bounds of the essential norm of these operators and a
criterion of compactness on classicals weighted Bergman spaces. Moreover, a
sufficient condition of compactness is obtained using the notion of Carleson's
measure.


title: Equilibrium and overcritical solitons at a spin-flop phase transition

abstract:
  Taking into account the energy dissipation in the spin-flop phase transition
induced by magnetic field in an antiferromagnet with uni-axial anisotropy, the
following peculiarities of precessing ball solitons (PBS) are considered: a)
the states of equilibrium solitons arising in the initial phase during the
phase transition; b) the states of "overcritical PBS", existing outside the
region of metastability. The "overcritical" PBS may originate during
disintegration of the initial phase.


title: Further Inequalities Between Vertex-Degree-Based Topological Indices

abstract:
  Continuing the recent work of L. Zhong and K. Xu [MATCH Commun. Math. Comput.
Chem.71(2014) 627-642], we determine inequalities among several
vertex-degree-based topological indices; first geometric-arithmetic index(GA),
augmented Zagreb index (AZI), Randi$\acute{c}$ index (R), atom-bond
connectivity index (ABC), sum-connectivity index (X)and harmonic index (H).


title: Exactly solvable models of nuclei

abstract:
  In this paper a review is given of a class of sub-models of both approaches,
characterized by the fact that they can be solved exactly, highlighting in the
process a number of generic results related to both the nature of
pair-correlated systems as well as collective modes of motion in the atomic
nucleus.


title: Truncated Quillen coplexes of p-groups

abstract:
  Let p be an odd prime and let P be a p-group. We examine the order complex of
the poset of elementary abelian subgroups of P having order at least p^2. S.
Bouc and J. Th\'evenaz showed that this complex has the homotopy type of a
wedge of spheres. We show that, for each nonnegative integer l, the number of
spheres of dimension l in this wedge is controlled by the number of
extraspecial subgroups X of P having order p^{2l+3} and satisfying
Omega_1(C_P(X))=Z(X). We go on to provide a negative answer to a question
raised by Bouc and Th\'evenaz concerning restrictions on the homology groups of
the given complex.


title:
More on Comparison Between First Geometric-Arithmetic Index and
  Atom-Bond Connectivity Index

abstract:
  The first geometric-arithmetic (GA) index and atom-bond connectivity (ABC)
index are molecular structure descriptors which play a significant role in
quantitative structure-property relationship (QSPR) and quantitative
structure-activity relationship (QSAR) studies. Das and Trinajsti\'{c}
[\textit{Chem. Phys. Lett.} \textbf{497} (2010) 149-151] showed that $GA$ index
is greater than $ABC$ index for all those graphs (except $K_{1,4}$ and $T^{*}$,
see Figure 1) in which the difference between maximum and minimum degree is
less than or equal to 3. In this note, it is proved that $GA$ index is greater
than $ABC$ index for line graphs of molecular graphs, for general graphs in
which the difference between maximum and minimum degree is less than or equal
to $(2\delta-1)^{2}$ (where $\delta$ is the minimum degree and $\delta\geq2$)
and for some families of trees. Thereby, a partial solution to an open problem
proposed by Das and Trinajsti\'{c} is given.


title: Magneto-Photoluminescence of InAs/InGaAs/InAlAs quantum well structures

abstract:
  Photoluminescence (PL) and highly circularly-polarized magneto-PL (up to 50%
at 6 T) from two-step bandgap InAs/InGaAs/InAlAs quantum wells (QWs) are
studied. Bright PL is observed up to room temperature, indicating a high
quantum efficiency of the radiative recombination in these QW. The sign of the
circular polarization indicates that it stems from the spin polarization of
heavy holes caused by the Zeeman effect. Although in magnetic field the PL line
are strongly circularly polarized, no energy shift between the
counter-polarized PL lines was observed. The results suggest that the electron
and the hole g-factor to be of the same sign and close magnitudes.


title: Study of the eta meson production with polarized proton beam

abstract:
  The pp-> pp eta reaction was investigated at excess energies of 15 MeV and 72
MeV using the azimuthally symmetric WASA detector and a polarized proton beam
of the Cooler Synchrotron COSY. The aim of the studies is the determination of
partial wave contributions to the production process of the eta meson in
nucleon-nucleon collisions. Here we present preliminary results of the
extraction of the position of the interaction region with respect to the WASA
detector and preliminary results on the degree of polarization of the COSY
proton beam used in the experiment.


title: Information quantity in a pixel of digital image

abstract:
  The paper is devoted to the problem of integer-valued estimating of
information quantity in a pixel of digital image. The definition of an integer
estimation of information quantity based on constructing of the certain binary
hierarchy of pixel clusters is proposed. The methods for constructing
hierarchies of clusters and generating of hierarchical sequences of image
approximations that minimally differ from the image by a standard deviation are
developed. Experimental results on integer-valued estimation of information
quantity are compared with the results obtained by utilizing of the classical
formulas.


title: One-dimensional pinning behavior in Co-doped BaFe2As2 thin films

abstract:
  Angle-resolved transport measurements revealed that planar defects dominate
flux pinning in the investigated Co-doped BaFe2As2 thin film. For any given
field and temperature, the critical current depends only on the angle between
the crystallographic c-axis and the applied magnetic field but not on the angle
between the current and the field. The critical current is therefore limited
only by the in-plane component of the Lorentz force but independent of the
out-of-plane component, which is entirely balanced by the pinning force exerted
by the planar defects. This one-dimensional pinning behavior shows similarities
and differences to intrinsic pinning in layered superconductors.


title: Cosmic rays in galaxy clusters and their non-thermal emission

abstract:
  Radio observations prove the existence of relativistic particles and magnetic
field associated with the intra-cluster-medium (ICM) through the presence of
extended synchrotron emission in the form of radio halos and peripheral relics.
This observational evidence has fundamental implications on the physics of the
ICM. Non-thermal components in galaxy clusters are indeed unique probes of very
energetic processes operating within clusters that drain gravitational and
electromagnetic energy into cosmic rays and magnetic fields. These components
strongly affect the (micro-)physical properties of the ICM, including viscosity
and electrical conductivities, and have also potential consequences on the
evolution of clusters themselves. The nature and properties of cosmic rays in
galaxy clusters, including the origin of the observed radio emission on
cluster-scales, have triggered an active theoretical debate in the last decade.
Only recently we can start addressing some of the most important questions in
this field, thanks to recent observational advances, both in the radio and at
high energies. The properties of cosmic rays and of cluster non-thermal
emissions depend on the dynamical state of the ICM, the efficiency of particle
acceleration mechanisms in the ICM and on the dynamics of these cosmic rays. In
this review we discuss in some detail the acceleration and transport of cosmic
rays in galaxy clusters and the most relevant observational milestones that
have provided important steps on our understanding of this physics. Finally,
looking forward to the possibilities from new generations of observational
tools, we focus on what appear to be the most important prospects for the near
future from radio and high-energy observations.


title: Topological Edge Plasmon Modes between Diatomic Chains of Nanoparticles

abstract:
  We study the topological edge plasmon modes between two "diatomic" chains of
identical plasmonic nanoparticles. Zak phase for longitudinal plasmon modes in
each chain is calculated analytically by solutions of macroscopic Maxwell's
equations for particles in quasi-static dipole approximation. This
approximation provides a direct analogy with the Su-Schrieffer-Heeger model
such that the eigenvalue is mapped to the frequency dependent
inverse-polarizability of the nanoparticles. The edge state frequency is found
to be the same as the single-particle resonance frequency, which is insensitive
to the separation distances within a unit cell. Finally, full electrodynamic
simulations with realistic parameters suggest that the edge plasmon mode can be
realized through near-field optical spectroscopy.


title:
A first order phase transition and self-organizing states in unidomain
  ferromagnet

abstract:
  Unidomain ferromagnet during the first order phase transition induced by a
magnetic field directed along the axis of anisotropy, has been analyzed. It is
shown that there is continuous spectrum of stationary states, which depends of
relation between acting field value and the demagnetisation field. At addition
action of the periodic field perpendicular to the main magnetic field with a
certain frequency, there are dynamic equilibrium state, ie "self-organizing
states" of ferromagnet, when the entropy increase connected with dissipation is
compensated by the negative entropy flow due to the periodic field. It is shown
that under these conditions, by varying the frequency of the periodic field, we
can control the self-organising system, ie decrease or increase the system
energy and, correspondingly, change the direction of magnetisation in
ferromagnet.


title: Migration of Ca II H bright points in the internetwork

abstract:
  The migration of magnetic bright point-like features (MBP) in the lower solar
atmosphere reflects the dispersal of magnetic flux as well as the horizontal
flows of the atmospheric layer they are embedded in. We analyse trajectories of
the proper motion of intrinsically magnetic, isolated internetwork Ca II H MBPs
(mean lifetime 461 +- 9 s) to obtain their diffusivity behaviour. We use
seeing-free high spatial and temporal resolution image sequences of quiet-Sun,
disc-centre observations obtained in the Ca II H 3968 {\AA} passband of the
Sunrise Filter Imager (SuFI) onboard the Sunrise balloon-borne solar
observatory. Small MBPs in the internetwork are automatically tracked. The
trajectory of each MBP is then calculated and described by a diffusion index
({\gamma}) and a diffusion coefficient (D). We further explore the distribution
of the diffusion indices with the help of a Monte Carlo simulation. We find
{\gamma} = 1.69 +- 0.08 and D = 257 +- 32 km^2/s averaged over all MBPs.
Trajectories of most MBPs are classified as super-diffusive, i.e., {\gamma} >
1, with the determined {\gamma} being to our knowledge the largest obtained so
far. A direct correlation between D and time-scale ({\tau}) determined from
trajectories of all MBPs is also obtained. We discuss a simple scenario to
explain the diffusivity of the observed, relatively short-lived MBPs while they
migrate within a small area in a supergranule (i.e., an internetwork area). We
show that the scatter in the {\gamma} values obtained for individual MBPs is
due to their limited lifetimes. The super-diffusive MBPs can be well-described
as random walkers (due to granular evolution and intergranular turbu- lence)
superposed on a large systematic (background) velocity, caused by granular,
mesogranular and supergranular flows.


title: On Hyperbolicity of 13-Moment System

abstract:
  We point out that the thermodynamic equilibrium is not an interior point of
the hyperbolicity region of Grad's 13-moment system. With a compact expansion
of the phase density, which is compacter than Grad's expansion, we derived a
modified 13-moment system. The new 13-moment system admits the thermodynamic
equilibrium as an interior point of its hyperbolicity region. We deduce a
concise criterion to ensure the hyperbolicity, thus the hyperbolicity region
can be quantitatively depicted.


title: Calibration of stellar and atmospheric models using the Hyades

abstract:
  Calibration and benchmarking of evolutionary and atmospheric models is
essential for the study of low-mass stars and brown dwarfs, as for isolated
objects these models are the only way to determine basic parameters like mass
and age. The Hyades star cluster with an age of around 625 Myr and located at
the distance of ~ 45 pc, is the most accessible cluster in the solar
neighborhood. R\"oser et al. (2011) establish a list of 724 likely Hyades
members. Using available literature data (HST, HIPPARCOS, WDS, Patience et al.
1998, Mermilliod et al. 2009, Morzinski 2011) and our own lucky imaging
observations with AstraLux at the 2.2m telescope in Calar Alto, we establish a
single-star sequence containing 255 Hyades members spanning the mass range ~
0.2--1.5 solar masses . This sequence is used for testing and calibration of
various existing stellar and atmospheric models (PADOVA, DARTMOUTH, BCAH,
BT-Settl)


title:
The relation between radio and X-ray luminosity of black hole binaries:
  affected by inner cool disks?

abstract:
  Observations of the black hole X-ray binaries GX 339-4 and V404 Cygni have
brought evidence of a strong correlation between radio and X-ray emission
during the hard spectral state; however, now more and more sources, the
so-called `outliers', are found with a radio emission noticeably below the
established `standard' relation. Several explanations have already been
considered, but the existence of dual tracks is not yet fully understood.
  We suggest that in the hard spectral state re-condensation of gas from the
corona into a cool, weak inner disk can provide additional soft photons for
Comptonization, leading to a higher X-ray luminosity in combination with rather
unchanged radio emission, which presumably traces the mass accretion rate. As
an example, we determined how much additional luminosity due to photons from an
underlying disk would be needed to explain the data from the representative
outlier source H1743-322. From the comparison with calculations of Compton
spectra with and without the photons from an underlying disk, we find that the
required additional X-ray luminosity lies well in the range obtained from
theoretical models of the accretion flow. The radio/X-ray luminosity relation
resulting from Comptonization of additional photons from a weak, cool inner
disk during the hard spectral state can explain the observations of the outlier
sources, especially the data for H1743-322, the source with the most detailed
observations. The existence or non-existence of weak inner disks on the two
tracks might point to a difference in the magnetic fields of the companion
stars. These could affect the effective viscosity and the thermal conductivity,
hence also the re-condensation process.


title:
Experimental Comparison of Efficient Tomography Schemes for a Six-Qubit
  State

abstract:
  Quantum state tomography suffers from the measurement effort increasing
exponentially with the number of qubits. Here, we demonstrate permutationally
invariant tomography for which, contrary to conventional tomography, all
resources scale polynomially with the number of qubits both in terms of the
measurement effort as well as the computational power needed to process and
store the recorded data. We demonstrate the benefits of combining
permutationally invariant tomography with compressed sensing by studying the
influence of the pump power on the noise present in a six-qubit symmetric Dicke
state, a case where full tomography is possible only for very high pump powers.


title:
VSR symmetries in the DKP algebra: the interplay between Dirac and Elko
  spinor fields

abstract:
  VSR symmetries are here naturally incorporated in the DKP algebra on the
spin-0 and the spin-1 DKP sectors. We show that the Elko (dark) spinor fields
structure plays an essential role on accomplishing this aim, unravelling hidden
symmetries on the bosonic DKP fields under the action of discrete symmetries.


title:
A Monte-Carlo Approach to Lifespan Failure Performance Analysis of the
  Network Fabric in Modular Data Centers

abstract:
  Data centers have been evolved from a passive element of compute
infrastructure to become an active, core part of any ICT solution. In
particular, modular data centers (MDCs), which are a promising design approach
to improve resiliency of data centers, can play a key role in deploying ICT
infrastructure in remote and inhospitable environments in order to take
advantage of low temperatures and hydro- and wind-electric capabilities. This
is because of capability of the modular data centers to survive even in lack of
continuous on-site maintenance and support. The most critical part of a data
center is its network fabric that could impede the whole system even if all
other components are fully functional, assuming that other analyses has been
already performed to ensure the reliability of the underlying infrastructure
and support systems. In this work, a complete failure analysis of modular data
centers using failure models of various components including servers, switches,
and links is performed using a proposed Monte-Carlo approach. The proposed
Monte-Carlo approach, which is based on the concept of snapshots, allows us to
effectively calculate the performance of a design along its lifespan even up to
the terminal stages. To show the capabilities of the proposed approach, various
network topologies, such as FatTree, BCube, MDCube, and their modifications are
considered. The performance and also the lifespan of each topology design in
presence of failures of their components are studied against the topology
parameters.


title:
Slipping magnetic reconnection during an X-class solar flare observed by
  SDO/AIA

abstract:
  We present SDO/AIA observations of an eruptive X-class flare of July 12,
2012, and compare its evolution with the predictions of a 3D numerical
simulation. We focus on the dynamics of flare loops that are seen to undergo
slipping reconnection during the flare. In the AIA 131A observations, lower
parts of 10 MK flare loops exhibit an apparent motion with velocities of
several tens of km/s along the developing flare ribbons. In the early stages of
the flare, flare ribbons consist of compact, localized bright transition-region
emission from the footpoints of the flare loops. A DEM analysis shows that the
flare loops have temperatures up to the formation of Fe XXIV. A series of very
long, S-shaped loops erupt, leading to a CME observed by STEREO. The observed
dynamics are compared with the evolution of magnetic structures in the
"standard solar flare model in 3D". This model matches the observations well,
reproducing both the apparently slipping flare loops, S-shaped erupting loops,
and the evolution of flare ribbons. All of these processes are explained via 3D
reconnection mechanisms resulting from the expansion of a torus-unstable flux
rope. The AIA observations and the numerical model are complemented by radio
observations showing a noise storm in the metric range. Dm-drifting pulsation
structures occurring during the eruption indicate plasmoid ejection and
enhancement of reconnection rate. The bursty nature of radio emission shows
that the slipping reconnection is still intermittent, although it is observed
to persist for more than an hour.


title: Beta-expansions of $p$-adic numbers

abstract:
  In the present article, we introduce beta-expansions in the ring
$\mathbb{Z}_p$ of $p$-adic integers. We characterise the sets of numbers with
eventually periodic and finite expansions.


title:
On the paper "On Green's relations, $2^0$-regularity and Quasi-ideals in
  $\Gamma$-semigroups"

abstract:
  This is about the paper in the title published by K. Hila and J. Dine in Acta
Math. Sinica, English Series, 29, no. 3, (2013), 609--624.


title: The MMO problem

abstract:
  We consider a two polynomials analogue of the polynomial interpolation
problem. Namely, we consider the Mixing Modular Operations (MMO) problem of
recovering two polynomials $f\in \Z_p[x]$ and $g\in \Z_q[x]$ of known degree,
where $p$ and $q$ are two (un)known positive integers, from the values of
$f(t)\bmod p + g(t)\bmod q$ at polynomially many points $t \in \Z$. We show
that if $p$ and $q$ are known, the MMO problem is equivalent to computing a
close vector in a lattice with respect to the infinity norm. We also
implemented in the SAGE system a heuristic polynomial-time algorithm. If $p$
and $q$ are kept secret, we do not know how to solve this problem. This problem
is motivated by several potential cryptographic applications.


title:
Relaxed Recovery Conditions for OMP/OLS by Exploiting both Coherence and
  Decay

abstract:
  We propose extended coherence-based conditions for exact sparse support
recovery using orthogonal matching pursuit (OMP) and orthogonal least squares
(OLS). Unlike standard uniform guarantees, we embed some information about the
decay of the sparse vector coefficients in our conditions. As a result, the
standard condition $\mu<1/(2k-1)$ (where $\mu$ denotes the mutual coherence and
$k$ the sparsity level) can be weakened as soon as the non-zero coefficients
obey some decay, both in the noiseless and the bounded-noise scenarios.
Furthermore, the resulting condition is approaching $\mu<1/k$ for strongly
decaying sparse signals. Finally, in the noiseless setting, we prove that the
proposed conditions, in particular the bound $\mu<1/k$, are the tightest
achievable guarantees based on mutual coherence.


title:
Correlation between mean transverse momentum and multiplicity of charged
  particles in $pp$ and $p\bar{p}$ collisions: from ISR to LHC

abstract:
  We present our analysis of the available experimental data on correlation
between mean transverse momentum and charged particles multiplicity ($\langle
p_T \rangle$-$N_{ch}$) at central rapidity in $pp$ and $p\bar{p}$ collisions at
$\sqrt{s}$ from 17 GeV to 7 TeV. A multi-pomeron exchange model based on
Regge-Gribov approach provides quantitative description of $\langle p_T
\rangle$-$N_{ch}$ correlation data and their energy dependence. Results are
found to be in agreement with string fusion model hypothesis.


title:
Online Social Media in the Syria Conflict: Encompassing the Extremes and
  the In-Betweens

abstract:
  The Syria conflict has been described as the most socially mediated in
history, with online social media playing a particularly important role. At the
same time, the ever-changing landscape of the conflict leads to difficulties in
applying analytical approaches taken by other studies of online political
activism. Therefore, in this paper, we use an approach that does not require
strong prior assumptions or the proposal of an advance hypothesis to analyze
Twitter and YouTube activity of a range of protagonists to the conflict, in an
attempt to reveal additional insights into the relationships between them. By
means of a network representation that combines multiple data views, we uncover
communities of accounts falling into four categories that broadly reflect the
situation on the ground in Syria. A detailed analysis of selected communities
within the anti-regime categories is provided, focusing on their central
actors, preferred online platforms, and activity surrounding "real world"
events. Our findings indicate that social media activity in Syria is
considerably more convoluted than reported in many other studies of online
political activism, suggesting that alternative analytical approaches can play
an important role in this type of scenario.


title:
The First "lost" International Conference on Nonlinear Oscillations
  (I.C.N.O.)

abstract:
  From 28 to 30 January 1933 was held at the Institut Henri Poincar\'{e}
(Paris) the first International Conference of Nonlinear Oscillations organized
at the initiative of the Dutch physicist Balthazar Van der Pol and of the
Russian mathematician Nikola\"{i} Dmitrievich Papaleksi. The discovery of this
forgotten event, whose virtually no trace remains, was made possible thanks to
the report written by Papaleksi at his return in USSR. This document has
revealed, one the one hand, the list of participants who included French
mathematicians: Alfred Li\'{e}nard, \'{E}lie and Henri Cartan, Henri Abraham,
Eug\`{e}ne Bloch, L\'{e}on Brillouin, Yves Rocard, ... and, on the other hand
the content of presentations and discussions. The analysis of the minutes of
this conference presented here for the first time highlights the role and
involvement of the French scientific community in the development of the theory
of nonlinear oscillations.


title: Thermodiffusion in binary liquids: the role of irreversibility

abstract:
  We study thermal diffusion in binary mixtures in the framework of
non-equilibrium thermodynamics. Our formal result displays the role of partial
enthalpies and Onsager's generalized mobilities. The mobility ratio provides a
measure for the irreversible character of thermal diffusion. Comparison with
experimental data on benzene, cyclohexane, toluene and alkanes shows that
irreversibility is essential for thermal diffusion, and in particular for the
isotope effect.


title: Bayesian Pursuit Algorithms

abstract:
  This paper addresses the sparse representation (SR) problem within a general
Bayesian framework. We show that the Lagrangian formulation of the standard SR
problem, i.e., $\mathbf{x}^\star=\arg\min_\mathbf{x} \lbrace \|
\mathbf{y}-\mathbf{D}\mathbf{x} \|_2^2+\lambda\| \mathbf{x}\|_0 \rbrace$, can
be regarded as a limit case of a general maximum a posteriori (MAP) problem
involving Bernoulli-Gaussian variables. We then propose different tractable
implementations of this MAP problem that we refer to as "Bayesian pursuit
algorithms". The Bayesian algorithms are shown to have strong connections with
several well-known pursuit algorithms of the literature (e.g., MP, OMP, StOMP,
CoSaMP, SP) and generalize them in several respects. In particular, i) they
allow for atom deselection; ii) they can include any prior information about
the probability of occurrence of each atom within the selection process; iii)
they can encompass the estimation of unkown model parameters into their
recursions.


title: Automatic Reference Models Development: A Framework

abstract:
  Software reuse allows the software industry to simultaneously reduce
development cost and improve product quality. Reuse of early-stage artifacts
has been acknowledged to be more beneficial than reuse of later-stage
artifacts. In this regard, early-stage reference models have been considered as
good tools to allow reuse across applications within the same domain. However,
our literature survey reported in this paper reveals that the problem of
automatically developing reference models from given instances has not caught
enough researchers attention yet. Accordingly, in this paper we propose a
framework for building a reference model that captures the common and variable
analysis/design practices, across the different applications in a domain. The
framework considers multi-view models in assessing the commonalities and
variabilities among given instances. The proposed framework incorporates
learning capabilities to allow improving the quality and re-usability of the
reference model as it is being used.


title: A Faster Parameterized Algorithm for Treedepth

abstract:
  The width measure \emph{treedepth}, also known as vertex ranking, centered
coloring and elimination tree height, is a well-established notion which has
recently seen a resurgence of interest. We present an algorithm which---given
as input an $n$-vertex graph, a tree decomposition of the graph of width $w$,
and an integer $t$---decides Treedepth, i.e. whether the treedepth of the graph
is at most $t$, in time $2^{O(wt)} \cdot n$. If necessary, a witness structure
for the treedepth can be constructed in the same running time. In conjunction
with previous results we provide a simple algorithm and a fast algorithm which
decide treedepth in time $2^{2^{O(t)}} \cdot n$ and $2^{O(t^2)} \cdot n$,
respectively, which do not require a tree decomposition as part of their input.
The former answers an open question posed by Ossona de Mendez and Nesetril as
to whether deciding Treedepth admits an algorithm with a linear running time
(for every fixed $t$) that does not rely on Courcelle's Theorem or other heavy
machinery. For chordal graphs we can prove a running time of $2^{O(t \log
t)}\cdot n$ for the same algorithm.


title: The weak Haagerup property

abstract:
  We introduce the weak Haagerup property for locally compact groups and prove
several hereditary results for the class of groups with this approximation
property. The class contains a priori all weakly amenable groups and groups
with the (usual) Haagerup property, but examples are given of groups with the
weak Haagerup property which are not weakly amenable and do not have the
Haagerup property.
  In the second part of the paper we introduce the weak Haagerup property for
finite von Neumann algebras, and we prove several hereditary results here as
well. Also, a discrete group has the weak Haagerup property if and only if its
group von Neumann algebra does.
  Finally, we give an example of two II_1 factors with different weak Haagerup
constants.


title:
Perturbative transport experiments: to what extent do they really probe
  microscopic transport?

abstract:
  Experiments featuring fast heat propagation, or so called "non-local"
transport, were a puzzle for almost two decades. However recently it was shown,
and it is recalled here, that a collective ideal MHD response of the plasma
provides a quantitative agreement with these experiments, whereas transport
plays just a secondary role. Then this work reviews the algebraic approach to
transport data inversion that provides a formally exact solution, as well as a
quantitative assessment of error bars, limited to periodic signals. Conversely,
standard transport reconstructions are shown to sometimes fail to match the
exact solution. The adoption of automated global search algorithms based upon
Genetic Algorithms is bound to greatly increase the probability of finding
optimal solutions. Finally, the standard methods of reconstruction infer the
diffusivity D and pinch V by matching experimental data against those simulated
by transport codes. These methods do not warrant the validity neither of the
underlying models of transport, nor of the reconstructed D(r) and V(r), even
when the results look reasonable.


title:
The use of soft matrices on soft multisets in an optimal decision
  process

abstract:
  In this paper, we introduce a concept of a soft matrix on a soft multiset,
and investigate how to use soft matrices to solve decision making problems. An
algorithm for a multiple choose selection problem is also provided. Finally, we
demonstrate an illustrative example to show the decision making steps.


title: Analogue black holes for light rays in static dielectrics

abstract:
  Propagation of light in nonlinear materials is here studied in the regime of
the geometrical optics. It is shown that a spherically symmetric medium at rest
with some specific dielectric properties can be used to produce an exact
analogue model for a class of space-times which includes spherically symmetric
and static black hole solutions. The optical model here presented can be a
useful tool to reproduce in laboratory the behavior of optical null geodesics
near a compact object with an observable gravitational Schwarzschild radius.


title: Infinite Computations and the Generic Finite

abstract:
  This paper introduces the concept of a generic finite set, and points out
that a consistent and significant interpretation of the grossone notation of
Yarolslav D. Sergeyev is that of a generic natural number. This means that the
grossone is not itself a natural number, yet it can be treated as one and used
in the generic expression of finite sets and finite formulas, giving a new
power to algebra and algorithms that embody this usage. We further consider the
concept of infinity in categories. An object A in a given category C is said to
be infinite relative to that category if and only if there is a injection from
A to A in C that is not a surjection. In the category of sets this recovers the
usual notion of infinity. In other categories, an object may be non-infinite
(whence finite) while its underlying set (if it has one) is infinite. The
computational methodology due to Yarolslav D. Sergeyev for executing numerical
calculations with infinities and infinitesimals is considered from this
categorical point of view.


title: Is Soret equilibrium a non-equilibrium effect?

abstract:
  Recent thermophoretic experiments on colloidal suspensions revived an old
debate, namely whether the Soret effect is properly described by thermostatics,
or necessarily requires non-equilibrium thermodynamics. Based on colloidal
transport theory and the entropy production of the related viscous flow, our
analysis leads to the conclusion that the equilibrium approach may work for
small ions, yet fails for colloidal particles and polymers. Regarding binary
molecular mixtures, our results shed some doubt on the validity of thermostatic
approaches that derive the Soret coefficient from equilibrium potentials.


title: Web Based Reputation Index of Turkish Universities

abstract:
  This paper attempts to develop an online reputation index of Turkish
universities through their online impact and effectiveness. Using 16 different
web based parameters and employing normalization process of the results, we
have ranked websites of Turkish universities in terms of their web presence.
This index is first attempt to determine the tools of reputation of Turkish
academic websites and would be a basis for further studies to examine the
relation between reputation and the online effectiveness of the universities.


title:
Vortex generation in a superfluid gas of dipolar chains in crossed
  electric and magnetic fields

abstract:
  Crossed electric and magnetic fields influence dipolar neutral particles in
the same way as the magnetic field influences charged particles. The effect of
crossed fields is proportional to the dipole moment of the particle (inherent
or induced). We show that this effect is quite spectacular in a multilayer
system of polar molecules. In this system molecules may bind in chains. At low
temperature the gas of chains becomes the superfluid one. The crossed fields
then induce vortices in the superfluid gas of chains. The density of vortices
is proportional to the number of particles in the chain. The effect can be used
for monitoring the formation and destruction of chains in multilayer dipolar
gases.


title: Generalized second law of thermodynamics in scalar-tensor gravity

abstract:
  Within the context of scalar-tensor gravity, we explore the generalized
second law (GSL) of gravitational thermodynamics. We extend the action of
ordinary scalar-tensor gravity theory to the case in which there is a
non-minimal coupling between the scalar field and the matter field (as
chameleon field). Then, we derive the field equations governing the gravity and
the scalar field. For a FRW universe filled only with ordinary matter, we
obtain the modified Friedmann equations as well as the evolution equation of
the scalar field. Furthermore, we assume the boundary of the universe to be
enclosed by the dynamical apparent horizon which is in thermal equilibrium with
the Hawking temperature. We obtain a general expression for the GSL of
thermodynamics in the scalar-tensor gravity model. For some viable
scalar-tensor models, we first obtain the evolutionary behaviors of the matter
density, the scale factor, the Hubble parameter, the scalar field, the
deceleration parameter as well as the effective equation of state (EoS)
parameter. We conclude that in most of the models, the deceleration parameter
approaches a de Sitter regime at late times, as expected. Also the effective
EoS parameter acts like the LCDM model at late times. Finally, we examine the
validity of the GSL for the selected models.


title: Stable Exact Cosmological Solutions in Induced Gravity Models

abstract:
  We study dynamics of induced gravity cosmological models with sixth degree
potential, that have found using the superpotential method. The important
property of these models are existence of exact cosmological solutions that
tend to fixed points. The stability of these cosmological solutions have been
obtained. In particular, we find conditions under which solutions with a
non-monotonic Hubble parameter that tend to a fixed point are attractors.


title: The amazing properties of crystalline color superconductors

abstract:
  This paper is a brief journey into the amazing realm of crystalline color
superconductors. Starting from a qualitative description of superfluids,
superconductors and supersolids, we show how inhomogeneous phases may arise
when the system is under stress. These basic concepts are then extended to
quark matter, in which a richer variety of phases can be realized. Then, the
most interesting properties of the crystalline color superconductors are
presented. This brief journey ends with a discussion of crystalline color
superconductors in compact stars and related astrophysical observables. We aim
at providing a pedagogical introduction for nonexpert in the field to a few
interesting properties of crystalline color superconductors, without discussing
the methods and the technicalities. Thus, the results are presented without a
proof. However, we try to give a qualitatively clear description of the main
concepts, using standard quantum field theory and analogies with condensed
matter systems.


title: Extended Fokker Planck model: properties and solutions

abstract:
  In the current paper Fokker Planck model of random walks has been extended to
non conservative cases characterized by explicit dependence of diffusion and
energy on time. A given generalization allows describing of such non
equilibrium processes as Levy flights in a classical differential form without
use of fractal PDE. Besides it takes into account mixing properties that are
obligatory for a certain class of chaotic systems such as Kolmogorov K system.
It was shown that an abnormal transport is a consequence of the equilibrium
distortion and not stationary diffusion. The particular case of fixed
boundaries was considered. According to the received solutions it was shown
that a system structure can resist a weak disturbance in the vicinity of the
discrete regimes, defined by a system scale and its nonlinear properties. These
regimes correspond to the exponential increase of quasi regular structure
fluctuations. Only fast disruption of regime is possible for other states of
the system. It leads to an immediate transition to the chaos.


title:
Numerical Solutions to Singular Reaction-Diffusion Equation over
  Elliptical Domains

abstract:
  Solid fuel ignition models, for which the dynamics of the temperature is
independent of the single-species mass fraction, attempt to follow the dynamics
of an explosive event. Such models may take the form of singular, degenerate,
reaction-diffusion equations of the quenching type, that is, the temporal
derivative blows up in finite time while the solution remains bounded.
Theoretical and numerical investigations have proved difficult for even the
simplest of geometries and mathematical degeneracies. Quenching domains are
known to exist for piecewise smooth boundaries, but often lack theoretical
estimates. Rectangular geometries have been primarily studied. Here, this
acquired knowledge is utilized to determine new theoretical estimates to
quenching domains for arbitrary piecewise, smooth, connected geometries.
Elliptical domains are of primary interest and a Peaceman-Rachford splitting
algorithm is then developed that employs temporal adaptation and nonuniform
grids. Rigorous numerical analysis ensures numerical solution monotonicity,
positivity, and linear stability of the proposed algorithm. Simulation
experiments are provided to illustrate the accomplishments.


title: Seeded growth of monodisperse and spherical silver nanoparticles

abstract:
  Aiming at spherical and monodisperse silver nanoparticles with diameters up
to 100 nm, the potential of heterogeneous nucleation of silver particles was
explored. Gold seed particles, mainly produced with a spark discharge
generator, were carried by nitrogen through a three-zone tube furnace. Silver
was evaporated at 1210 {\deg}C in the first zone of the furnace and particle
growth and shaping took place in the subsequent zones, heated to 730 {\deg}C
and 390 {\deg}C respectively. The generated aerosol was monitored by a scanning
mobility particle sizer (SMPS), while parameters, such as furnace temperature,
seed particle size and concentration and nitrogen carrier gas flow, were
investigated. Off-line atomic force microscopy (AFM) and transmission electron
microscopy (TEM) were used to characterize the morphology of the silver
nanoparticles in addition to the SMPS scans. Spherical silver nanoparticles
with a mobility diameter of more than 115 nm and a geometric standard deviation
of typically 1.09 or lower at concentrations as large as 5e5cm^{-3} could be
produced. The mobility diameter of the monodisperse aerosol could be varied in
the range of 50 nm to 115 nm by changing the furnace temperature or the gold
seed particle size. Elemental analysis revealed that the gold from the seed
particles formed a homogeneous alloy with the silver (< 3.5 atomic percent of
gold). The growth mechanism could not be identified unambiguously since the
obtained silver particles could both originate from heterogeneous nucleation of
silver vapour on the seed particles or from coagulation and coalescence of the
seed particles with smaller, homogeneously nucleated silver particles.
Moreover, the narrow size distribution opens the opportunity to obtain an
exclusively singly charged, monodisperse calibration aerosol at sufficient
concentrations after and additional mobility selection process.


title:
A Friendly Intro to Sieves with a Look Towards Recent Progress on the
  Twin Primes Conjecture

abstract:
  This is an extension and background to a talk I gave on 9 October 2013 to the
Brown Graduate Student Seminar, called `A friendly intro to sieves with a look
towards recent progress on the twin primes conjecture.' During the talk, I
mention several sieves, some with a lot of detail and some with very little
detail. I also discuss several results and built upon many sources. I'll
provide missing details and/or sources for additional reading here.


title: 6.7GHz methanol maser variability in Cepheus A

abstract:
  6.7 GHz methanol maser emission from the well-studied star-forming region
Cepheus A was monitored with the Torun 32 m radio telescope. We found
synchronized and anticorrelated changes of the flux density of the two
blueshifted and one redshifted maser features for ~30 per cent of 1340 d of our
observations. Two of those features exhibited high amplitude flux density
variations with periods of 84-87 d over the last 290 d interval of the
monitoring. We also report on two flares of emission at two different
redshifted velocities completely covered during the whole outburst. These flare
events lasted 510-670 d and showed a very rapid linear rise and slow
exponential decline, which may be caused by variability of the seed flux
density. The flux density of the two strongest features dropped by a factor of
2-5 on a time-scale ~22 yr, while other features have not changed significantly
during this period, but showed strong variability on time-scales <5 yr.