title: Solar Modulation of Cosmic Rays

abstract:
  This is an overview of the solar modulation of cosmic rays in the
heliosphere. It is a broad topic with numerous intriguing aspects so that a
research framework has to be chosen to concentrate on. The review focuses on
the basic paradigms and departure points without presenting advanced
theoretical or observational details for which there exists a large number of
comprehensive reviews. Instead, emphasis is placed on numerical modeling which
has played an increasingly significant role as computational resources have
become more abundant. A main theme is the progress that has been made over the
years. The emphasis is on the global features of CR modulation and on the
causes of the observed 11-year and 22-year cycles and charge-sign dependent
modulation. Illustrative examples of some of the theoretical and observational
milestones are presented, without attempting to review all details or every
contribution made in this field of research. Controversial aspects are
discussed where appro- priate, with accompanying challenges and future
prospects. The year 2012 was the centennial celebration of the discovery of
cosmic rays so that several general reviews were dedicated to historical
aspects so that such developments are brie y presented only in a few cases.


title:
Seeing about Soil -- Management Lessons from a Simple Model for
  Renewable Resources

abstract:
  Employing an effective cellular automata model, we investigate and analyze
the build-up and erosion of soil. Depending on the strategy employed for
handling agricultural production, in many cases we find a critical dependence
on the prescribed production target, with a sharp transition between stable
production and complete breakdown of the system. Strategies which are
particularly well-suited for mimicking real-world management approaches can
produce almost cyclic behaviour, which can also either lead to sustainable
production or to breakdown. While designed to describe the dynamics of soil
evolution, this model is quite general and may also be useful as a model for
other renewable resources and may even be employed in other disciplines like
psychology.


title: Nematode Locomotion in Unconfined and Confined Fluids

abstract:
  The millimeter-long soil-dwelling nematode {\it C. elegans} propels itself by
producing undulations that propagate along its body and turns by assuming
highly curved shapes. According to our recent study [PLoS ONE \textbf{7},
e40121 (2012)] all these postures can be accurately described by a
piecewise-harmonic-curvature (PHC) model. We combine this curvature-based
description with highly accurate hydrodynamic bead models to evaluate the
normalized velocity and turning angles for a worm swimming in an unconfined
fluid and in a parallel-wall cell. We find that the worm moves twice as fast
and navigates more effectively under a strong confinement, due to the large
transverse-to-longitudinal resistance-coefficient ratio resulting from the
wall-mediated far-field hydrodynamic coupling between body segments. We also
note that the optimal swimming gait is similar to the gait observed for
nematodes swimming in high-viscosity fluids. Our bead models allow us to
determine the effects of confinement and finite thickness of the body of the
nematode on its locomotion. These effects are not accounted for by the
classical resistive-force and slender-body theories.


title: Coregular spaces and genus one curves

abstract:
  A coregular space is a representation of an algebraic group for which the
ring of polynomial invariants is free. In this paper, we show that the orbits
of many coregular irreducible representations where the number of invariants is
at least two, over a (not necessarily algebraically closed) field k, correspond
to genus one curves over k together with line bundles, vector bundles, and/or
points on their Jacobians.
  In forthcoming work, we use these orbit parametrizations to determine the
average sizes of Selmer groups for various families of elliptic curves.


title: Jeans instability criterion modified by external tidal field

abstract:
  The well-known Jeans criterion describes the onset of instabilities in an
infinite, homogeneous, self-gravitating medium supported by pressure. Most
realistic astrophysical systems, however, are not isolated - instead they are
under the influence of an external field such as the tidal field due to a
neighbour. Here we do a linear perturbation analysis for a system in an
external field, and obtain a generalized dispersion relation that depends on
the wavenumber, the sound speed, and also the magnitude of the tidal field. A
typical, disruptive tidal field is shown to make the system more stable against
perturbations, and results in a higher effective Jeans wavelength. The minimum
mass that can become unstable is then higher (super-Jeans) than the usual Jeans
mass. Conversely, in a compressive tidal field, perturbations can grow even
when the mass is lower (sub-Jeans). This approach involving the inclusion of
tidal field opens up a new way of looking at instabilities in gravitating
systems. The treatment is general and the simple analytical form of the
modified Jeans criterion obtained makes it easily accessible.


title:
Accelerating cosmology in modified gravity: from convenient $F(R)$ or
  string-inspired theory to bimetric $F(R)$ gravity

abstract:
  We consider modified gravity which may describe the early-time inflation
and/or late-time cosmic acceleration of the universe. In particular, we discuss
the properties of $F(R)$, $F(G)$, string-inspired and
scalar-Einstein-Gauss-Bonnet gravities, including their FRW equations and fluid
or scalar-tensor description. Simplest accelerating cosmologies are
investigated and possibility of unified description of the inflation with dark
energy is described. The cosmological reconstruction program which permits to
get the requested universe evolution from modified gravity is developed. As
some extension, massive $F(R)$ bigravity which is ghost-free theory is
presented. Its scalar-tensor form turns out to be the easiest formulation. The
cosmological reconstruction method for such bigravity is presented. The unified
description of inflation with dark energy in $F(R)$ bigravity turns out to be
possible.


title: Multidimensional User Data Model for Web Personalization

abstract:
  Personalization is being applied to great extend in many systems. This paper
presents a multi-dimensional user data model and its application in web search.
Online and Offline activities of the user are tracked for creating the user
model. The main phases are identification of relevant documents and the
representation of relevance and similarity of the documents. The concepts
Keywords, Topics, URLs and clusters are used in the implementation. The
algorithms for profiling, grading and clustering the concepts in the user model
and algorithm for determining the personalized search results by re-ranking the
results in a search bank are presented in this paper. Simple experiments for
evaluation of the model and their results are described.


title: Dephasing of Si singlet-triplet qubits due to charge and spin defects

abstract:
  We study the effect of charge and spin noise on singlet-triplet qubits in Si
quantum dots. We set up a theoretical framework aimed at enabling experiment to
efficiently identify the most deleterious defects, and complement it with the
knowledge of defects gained in decades of industrial and academic work. We
relate the dephasing rates $\Gamma_\phi$ due to various classes of defects to
experimentally measurable parameters such as charge dipole moment, spin dipole
moment and fluctuator switching times. We find that charge fluctuators are more
efficient in causing dephasing than spin fluctuators.


title: On the number of populations of critical points of master functions

abstract:
  We consider the master functions associated with one irreducible integrable
highest weight representation of a Kac-Moody algebra. We study the generation
procedure of new critical points from a given critical point of one of these
master functions. We show that all critical points of all these master
functions can be generated from the critical point of the master function with
no variables. In particular this means that the set of all critical points of
all these master functions form a single population of critical points. We
formulate a conjecture that the number of populations of critical points of
master functions associated with a tensor product of irreducible integrable
highest weight representations of a Kac-Moody algebra are labeled by
homomorphisms to $\C$ of the Bethe algebra of the Gaudin model associated with
this tensor product.


title: Mass Composition Working Group Report at UHECR-2012

abstract:
  We present a summary of the measurements of mass sensitive parameters at the
highest cosmic ray energies done by several experiments. The Xmax distribution
as a function of energy has been measured with fluorescence telescopes by the
HiRes, TA and Auger experiments and with Cherenkov light detectors by Yakutsk.
The <Xmax> or the average mass (<lnA>) has been also inferred using ground
detectors, such as muon and water Cherenkov detectors. We discuss the different
data analyses elaborated by each collaboration in order to extract the relevant
information. Special attention is given to the different approaches used in the
analysis of the data measured by fluorescence detectors in order to take into
account detector biases. We present a careful analysis of the stability and
performance of each analysis. The results of the different experiments will be
compared and the discrepancies or agreements will be quantified.


title:
Intrinsic Equations For a Relaxed Elastic Line of Second Kind on an
  Oriented Surface

abstract:
  Let {\alpha}(s) be an arc on a connected oriented surface S in E3,
parameterized by arc length s, with torsion {\tau} and length l. The total
square torsion F of {\alpha} is defined by T=\int_{0}^{l}\tau ^{2}ds\ $. . The
arc {\alpha} is called a relaxed elastic line of second kind if it is an
extremal for the variational problem of minimizing the value of F within the
family of all arcs of length l on S having the same initial point and initial
direction as {\alpha}. In this study, we obtain differential equation and
boundary conditions for a relaxed elastic line of second kind on an oriented
surface.


title: Mixing with vector-like quarks: constraints and expectations

abstract:
  We argue why vector-like quarks are usually expected to mix predominantly
with the third generation, and discuss about the expected size of this mixing
and its naturalness.


title: Conditional Stability for Single Interior Measurement

abstract:
  An inverse problem to identify unknown coefficients of a partial differential
equation by a single interior measurement is considered. The equation
considered in this paper is a strongly elliptic second order scalar equation
which can have complex coefficients in a bounded domain with $C^2$ boundary and
single interior measurement means that we know a given solution of the equation
in this domain. The equation includes some model equations arising from
acoustics, viscoelasticity and hydrology. We assume that the coefficients are
piecewise analytic. Our major result is the local H\"older stability estimate
for identifying the unknown coefficients. If the unknown coefficients is a
complex coefficient in the principal part of the equation, we assumed a
condition which we named admissibility assumption for the real part and
imaginary part of the difference of the two complex coefficients. This
admissibility assumption is automatically satisfied if the complex coefficients
are real valued. For identifying either the real coefficient in the principal
part or the coefficient of the 0-th order of the equation, the major result
implies the global uniqueness for the identification.


title: An Introduction to the Discharging Method via Graph Coloring

abstract:
  We provide a "how-to" guide to the use and application of the Discharging
Method. Our aim is not to exhaustively survey results proved by this technique,
but rather to demystify the technique and facilitate its wider use, using
applications in graph coloring as examples. Along the way, we present some new
proofs and new problems.


title:
Profile for a simultaneously blowing up solution for a complex valued
  semilinear heat equation

abstract:
  We construct a solution to a complex nonlinear heat equation which blows up
in finite time $T$ only at one blow-up point. We also give a sharp description
of its blow-up profile. The proof relies on the reduction of the problem to a
finite dimensional one and the use of index theory to conclude. We note that
the real and imaginary parts of the constructed solution blow up
simultaneously.


title: Organic magnetoresistance under resonant ac drive

abstract:
  We study the spin dynamics of an electron-hole pair in a random hyperfine
magnetic field and an external field, B0, under a resonant drive with frequency
omega0 = gamma B0. The fact that the pair decays by recombination exclusively
from a singlet configuration, S, in which the spins of the pair-partners are
entangled, makes this dynamics highly nontivial. Namely, as the amplitude, B1,
of the driving field grows, mixing all of the triplet components, the
long-living modes do not disappear, but evolve from T+, T- into (T+ +/- sqrt(2)
T0 + T-)/2. Upon further increase of B1, the lifetime of the S-mode is cut in
half, while the T0-mode transforms into an antisymmetric combination (T- -
T-)/sqrt(2) and acquires a long lifetime, in full analogy to the superradiant
and subradiant modes in the Dicke effect. Peculiar spin dynamics translates
into a peculiar dependence on B1. In particular, at small B1, the
radiation-induced correction to the current is linear in B1.


title:
Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson
  Equation

abstract:
  For arbitrary values of a parameter $\lambda\in R$, finite-time blow-up of
solutions to the generalized, inviscid Proudman-Johnson equation is studied via
a direct approach which involves the derivation of representation formulae for
solutions to the problem.


title: Joint modelling of ChIP-seq data via a Markov random field model

abstract:
  Chromatin ImmunoPrecipitation-sequencing (ChIP-seq) experiments have now
become routine in biology for the detection of protein binding sites. In this
paper, we present a Markov random field model for the joint analysis of
multiple ChIP-seq experiments. The proposed model naturally accounts for
spatial dependencies in the data, by assuming first order Markov properties,
and for the large proportion of zero counts, by using zero-inflated mixture
distributions. In contrast to all other available implementations, the model
allows for the joint modelling of multiple experiments, by incorporating key
aspects of the experimental design. In particular, the model uses the
information about replicates and about the different antibodies used in the
experiments. An extensive simulation study shows a lower false non-discovery
rate for the proposed method, compared to existing methods, at the same false
discovery rate. Finally, we present an analysis on real data for the detection
of histone modifications of two chromatin modifiers from eight ChIP-seq
experiments, including technical replicates with different IP efficiencies.


title:
Collectivity evolution in the neutron-rich Pd isotopes towards the N=82
  shell closure

abstract:
  The neutron-rich, even-even 122,124,126Pd isotopes has been studied via
in-beam gamma-ray spectroscopy at the RIKEN Radioactive Isotope Beam Factory.
Excited states at 499(9), 590(11), and 686(17) keV were found in the three
isotopes, which we assign to the respective 2+ -> 0+ decays. In addition, a
candidate for the 4+ state at 1164(20) keV was observed in 122Pd. The resulting
Ex(2+) systematics are essentially similar to those of the Xe (Z=54) isotopic
chain and theoretical prediction by IBM-2, suggesting no serious shell
quenching in the Pd isotopes in the vicinity of N=82.


title:
Asymptotic Approximation for Bethe-Salpeter Equation and its
  Applications to Deuteron

abstract:
  Bethe-Salpeter equation is solved for bound state composed of two fermions
mediated by pion exchange force of the pseudovector coupling. Expanding the
amplitude by gamma matrices the one-dimensional integral equation is derived.
It reproduces the binding energy of deuteron. The relation with the quadrupole
moment is also discussed in the framework of the asymptotic approximation.


title: The Mid-Infrared Extinction Law and its Variation in the Coalsack Nebula

abstract:
  In recent years the wavelength dependence of interstellar extinction from the
ultraviolet (UV), optical, through the near- and mid-infrared (IR) has been
studied extensively. Although it is well established that the UV/optical
extinction law varies significantly among the different lines of sight, it is
not clear how the IR extinction varies among various environments. In this
work, using the color-excess method and taking red giants as the extinction
tracer, we determine the interstellar extinction Alambda in the four
Spitzer/IRAC bands of the Coalsack nebula, a nearby starless dark cloud, based
on the data obtained from the 2MASS and Spitzer/GLIMPSE surveys. We select five
individual regions across the nebula that span a wide variety of physical
conditions, ranging from diffuse, translucent to dense environments, as traced
by the visual extinction, the Spitzer/MIPS 24micron emission, and CO emission.
We find that Alambda/AKs, the mid-IR extinction relative to AKs, decreases from
diffuse to dense environments, which may be explained in terms of ineffective
dust growth in dense regions. The mean extinction (relative to AKs) is
calculated for the four IRAC bands as well, which exhibits a flat mid-IR
extinction law, consistent with previous determinations for other regions. The
extinction in the IRAC 4.5micron band is anomalously high, much higher than
that of the other three IRAC bands. It cannot be explained in terms of CO and
CO2 ices. The mid-IR extinction in the four IRAC bands have also been derived
for four representative regions in the Coalsack Globule 2 which respectively
exhibit strong ice absorption, moderate or weak ice absorption, and very weak
or no ice absorption. The derived mid-IR extinction curves are all flat, with
Alambda/AKs increasing with the decrease of the H2O ice absorption optical
depth.


title: Risk-Sensitive Dividend Problems

abstract:
  We consider a discrete-time version of the popular optimal dividend pay-out
problem in risk theory. The novel aspect of our approach is that we allow for a
risk averse insurer, i.e., instead of maximising the expected discounted
dividends until ruin we maximise the expected utility of discounted dividends
until ruin. This task has been proposed as an open problem in H. Gerber and E.
Shiu (2004). The model in a continuous-time Brownian motion setting with the
exponential utility function has been analysed in P. Grandits, F. Hubalek, W.
Schachermayer and M. Zigo (2007). Nevertheless, a complete solution has not
been provided. In this work, instead we solve the problem in discrete-time
setup for the exponential and the power utility functions and give the
structure of optimal history-dependent dividend policies. We make use of
certain ideas studied earlier in N. B\"auerle and U. Rieder (2013), where
Markov decision processes with general utility functions were treated. Our
analysis, however, include new aspects, since the reward functions in this case
are not bounded.


title: On SNS-Riemannian connections in sub-Riemannian manifolds

abstract:
  The authors define a SNS (semi-nearly-sub)-Riemannian connection on nearly
sub-Riemannian manifolds and study the geometric properties of such a
connection, and obtain the natures of horizontal curvature tensors between
horizontal sub-Riemannian connection and SNS-Riemannian connection. The authors
further investigate the geometric characteristics of the projective
SNS-Riemannian connection, and obtain a necessary and sufficient condition for
a nearly sub-Riemannian manifold being projectively flat.


title:
(La1-xBax)(Zn1-xMnx)AsO: A Two Dimensional "1111" Diluted Magnetic
  Semiconductor in Bulk Form

abstract:
  We report the synthesis and characterization of a bulk diluted magnetic
semiconductor (La1-xBax)(Zn1-xMnx)AsO (0 <= x <= 0.2) with a layered crystal
structure identical to that of the "1111" FeAs superconductors. No
ferromagnetic order occurs for (Zn,Mn) substitution in the parent compound
LaZnAsO without charge doping. Together with carrier doping via (La,Ba) sub-
stitution, a small amount of Mn substituting for Zn results in ferromagnetic
order with TC up to ~40 K, although the system remains semiconducting. Muon
spin relaxation measurements confirm the development of ferromagnetic order in
the entire volume, with the relationship between the internal field and TC
consistent with the trend found in (Ga,Mn)As, the "111" Li(Zn,Mn)As, and the
"122" (Ba,K)(Zn,Mn)2As2 systems.


title:
Infrared Fixed Point in the Strong Running Coupling: Unraveling the
  \Delta I=1/2 puzzle in K-Decays

abstract:
  In this talk, we present an explanation for the Delta I = 1/2 rule in
K-decays based on the premise of an infrared fixed point alpha_IR in the
running coupling alpha_s of quantum chromodynamics (QCD) for three light quarks
u,d,s. At the fixed point, the quark condensate spontaneously breaks scale and
chiral SU(3)_L x SU(3)_R symmetry. Consequently, the low-lying spectrum
contains nine Nambu-Goldstone bosons: pi,K,eta and a QCD dilaton sigma. We
identify sigma as the f_0(500) resonance and construct a chiral-scale
perturbation theory CHPT_sigma for low-energy amplitudes expanded in alpha_s
about alpha_IR. The Delta I = 1/2 rule emerges in the leading order of
CHPT_sigma through a sigma-pole term K_S --> sigma --> 2 pi, with a K_S-sigma
coupling fixed by data on 2 gamma --> 2 pi^0 and K_S --> 2 gamma. We also
determine R_IR ~ 5 for the nonperturbative Drell-Yan ratio at alpha_IR.


title:
Dynamical Analysis of Nearby ClustErs. Automated astrometry from the
  ground: precision proper motions over wide field

abstract:
  The kinematic properties of the different classes of objects in a given
association hold important clues about its member's history, and offer a unique
opportunity to test the predictions of the various models of stellar formation
and evolution. DANCe (standing for Dynamical Analysis of Nearby ClustErs) is a
survey program aimed at deriving a comprehensive and homogeneous census of the
stellar and substellar content of a number of nearby (<1kpc) young (<500Myr)
associations. Whenever possible, members will be identified based on their
kinematics properties, ensuring little contamination from background and
foreground sources. Otherwise, the dynamics of previously confirmed members
will be studied using the proper motion measurements. We present here the
method used to derive precise proper motion measurements, using the Pleiades
cluster as a test bench. Combining deep wide field multi-epoch panchromatic
images obtained at various obervatories over up to 14 years, we derive accurate
proper motions for the sources present in the field of the survey. The datasets
cover ~80 square degrees, centered around the Seven Sisters. Using new tools,
we have computed a catalog of 6116907 unique sources, including proper motion
measurements for 3577478 of them. The catalogue covers the magnitude range
between i=12~24mag, achieving a proper motion accuracy <1mas/yr for sources as
faint as i=22.5mag. We estimate that our final accuracy reaches 0.3mas/yr in
the best cases, depending on magnitude, observing history, and the presence of
reference extragalactic sources for the anchoring onto the ICRS.


title:
Hacking Smart Machines with Smarter Ones: How to Extract Meaningful Data
  from Machine Learning Classifiers

abstract:
  Machine Learning (ML) algorithms are used to train computers to perform a
variety of complex tasks and improve with experience. Computers learn how to
recognize patterns, make unintended decisions, or react to a dynamic
environment. Certain trained machines may be more effective than others because
they are based on more suitable ML algorithms or because they were trained
through superior training sets. Although ML algorithms are known and publicly
released, training sets may not be reasonably ascertainable and, indeed, may be
guarded as trade secrets. While much research has been performed about the
privacy of the elements of training sets, in this paper we focus our attention
on ML classifiers and on the statistical information that can be unconsciously
or maliciously revealed from them. We show that it is possible to infer
unexpected but useful information from ML classifiers. In particular, we build
a novel meta-classifier and train it to hack other classifiers, obtaining
meaningful information about their training sets. This kind of information
leakage can be exploited, for example, by a vendor to build more effective
classifiers or to simply acquire trade secrets from a competitor's apparatus,
potentially violating its intellectual property rights.


title:
Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta
  Decay

abstract:
  We analyse the proton recoil energy and angular distribution of the radiative
beta-decay of the neutron to leading order in the large baryon mass expansion
by taking into account the contributions of the proton-photon correlations. We
show that the account for the proton-photon correlations does not contradict
the description of the radiative corrections to the lifetime of the neutron and
the proton recoil energy spectrum of the neutron beta-decay in terms of the
functions (\alpha/\pi) g_n(E_e) and (\alpha/\pi) f_n(E_e), where E_e is the
electron energy. In addition we find that the contributions of the
proton-photon correlations in the radiative beta-decay of the neutron to the
proton recoil asymmetry C are of order 10^(-4). They make the contributions of
the radiative corrections to the proton recoil asymmetry C symmetric with
respect to a change A_0 <--> B_0, where A_0 and B_0 are the correlation
coefficients of the neutron beta-decay.


title:
The Role of Initial Curvature in Solutions to the Generalized Inviscid
  Proudman-Johnson Equation

abstract:
  In [20], we derived representation formulae for spatially periodic solutions
to the generalized, inviscid Proudman-Johnson equation and studied their
regularity for several classes of initial data. The purpose of this paper is to
extend these results to larger classes of functions including those having
arbitrary local curvature near particular points in the domain.


title:
Modeling a repository of modules for ports Terminals Operating System
  (TOS)

abstract:
  The purpose of this paper is the modeling of a repository for modules and
interfaces that must include all integrated information system management of a
port terminal.Modules will provide a basic framework necessary for automatic
management of internal operations and activities of all Port Terminals
worldwide.


title:
Purifying entanglement of noisy two-qubit states via entanglement
  swapping

abstract:
  Two qubits in pure entangled states going through separate paths and
interacting with their own individual environments will gradually lose their
entanglement. Here we show that the entanglement change of a two-qubit state
due to amplitude damping noises can be recovered by entanglement swapping. Some
initial states can be asymptotically purified into maximally entangled states
by iteratively using our protocol.


title: Gorenstein injective envelopes of Artinian modules

abstract:
  Let R be a commutative Noetherian ring and A an Artinian R-module. We prove
that if A has finite Gorenstein injective dimension, then A possesses a
Gorenstein injective envelope which is special and Artinian. This, in
particular, yields that over a Gorenstein ring any Artinian module possesses a
Gorenstein injective envelope which is special and Artinian.


title:
Propagation of plasmons in designed single crystalline silver
  nanostructures

abstract:
  We demonstrate propagation of plasmons in single crystalline silver
nanostructures fabricated using a combination of a bottom-up and a top-down
approach. Silver nanoplates of thickness around 65 nm and a surface area of
about 100 \mu m^2 are made using a wet chemical method. Silver nanotips and
nanowires are then sculptured by focused ion beam milling. The plasmons are
excited by using the fluorescence from the redeposited silver clusters during
the milling process. Propagation of plasmons in the nanowires is observed in
the visible spectral region. We also observe a cavity effect by measuring the
emission spectrum from the distal wire end.


title:
Which percentile-based approach should be preferred for calculating
  normalized citation impact values? An empirical comparison of five approaches
  including a newly developed citation-rank approach (P100)

abstract:
  Percentile-based approaches have been proposed as a non-parametric
alternative to parametric central-tendency statistics to normalize observed
citation counts. Percentiles are based on an ordered set of citation counts in
a reference set, whereby the fraction of papers at or below the citation counts
of a focal paper is used as an indicator for its relative citation impact in
the set. In this study, we pursue two related objectives: (1) although
different percentile-based approaches have been developed, an approach is
hitherto missing that satisfies a number of criteria such as scaling of the
percentile ranks from zero (all other papers perform better) to 100 (all other
papers perform worse), and solving the problem with tied citation ranks
unambiguously. We introduce a new citation-rank approach having these
properties, namely P100. (2) We compare the reliability of P100 empirically
with other percentile-based approaches, such as the approaches developed by the
SCImago group, the Centre for Science and Technology Studies (CWTS), and
Thomson Reuters (InCites), using all papers published in 1980 in Thomson
Reuters Web of Science (WoS). How accurately can the different approaches
predict the long-term citation impact in 2010 (in year 31) using citation
impact measured in previous time windows (years 1 to 30)? The comparison of the
approaches shows that the method used by InCites overestimates citation impact
(because of using the highest percentile rank when papers are assigned to more
than a single subject category) whereas the SCImago indicator shows higher
power in predicting the long-term citation impact on the basis of citation
rates in early years. Since the results show a disadvantage in this predictive
ability for P100 against the other approaches, there is still room for further
improvements.


title:
Sandpiles and Superconductors: Nonconforming Linear Finite Element
  Approximations for Mixed Formulations of Quasi-Variational Inequalities

abstract:
  Similar evolutionary variational and quasi-variational inequalities with
gradient constraints arise in the modeling of growing sandpiles and type-II
superconductors. Recently, mixed formulations of these inequalities were used
for establishing existence results in the quasi-variational inequality case.
Such formulations, and this is an additional advantage, made it possible to
determine numerically not only the primal variables, e.g. the evolving sand
surface and the magnetic field for sandpiles and superconductors, respectively,
but also the dual variables, the sand flux and the electric field.
  Numerical approximations of these mixed formulations in previous works
employed the Raviart--Thomas element of the lowest order. Here we introduce
simpler numerical approximations of these mixed formulations based on the
nonconforming linear finite element. We prove (subsequence) convergence of
these approximations, and illustrate their effectiveness by numerical
experiments.


title: Explicit primality criteria for $h\cdot2^n\pm1$

abstract:
  We describe an explicit generalized Lucasian test to determine the primality
of numbers $h\cdot2^n\pm1$ when $h\nequiv0\pmod{17}$. This test is by means of
fixed seeds which depend only on $h$. In particular when $h=16^m-1$ with $m$
odd, our paper gives a primality test with some fixed seeds depending only on
$h$. Comparing the results of W. Bosma(1993) and P. Berrizbeitia and T. G.
Berry(2004), our result adds new values of $h$ along with this line. Octic and
bioctic reciprocity are used to deduce our result.


title:
Free knot linear interpolation and the Milstein scheme for stochastic
  differential equations

abstract:
  The main purpose of this paper is to give a solution to a long-standing
unsolved problem concerning the pathwise strong approximation of stochastic
differential equations with respect to the global error in the
$L_{\infty}$-norm. Typically, one has average supnorm error of order $\left(\ln
k/k\right)^{1/2}$ for standard approximations of SDEs with $k$ discretization
points, like piecewise interpolated Ito-Taylor schemes. On the other hand there
is a lower bound, which indicates that the order $1/\sqrt{k}$ is best possible
for spline approximation of SDEs with $k$ free knots. The present paper deals
with the question of how to get an implementable method, which achieves the
order $1/\sqrt{k}$. Up to now, papers with regard to this issue give only pure
existence results and so are inappropriate for practical use. In this paper we
introduce a nonlinear method for approximating a scalar SDE. The method
combines a Milstein scheme with a pieceweise linear interpolation of the
Brownian motion with free knots and is easy to implement. Moreover, we
establish sharp lower and upper error bounds with specified constants which
exhibit the influence of the coefficients of the equation.


title: Stable CMC and index one minimal surfaces in conformally flat manifolds

abstract:
  Let $M$ be a Riemannian 3-manifold of nonnegative Ricci curvature, Ric $\geq
0.$ We suppose that $M$ is conformally flat and simply connected or more
generally that it admits a conformal immersion into the standard 3-sphere. Let
$\Sigma$ be a compact connected and orientable surface immersed in $M$ which is
a stable constant mean curvature (CMC) surface or an index one minimal surface.
We prove that $\Sigma$ is homeomorphic either to a sphere or to a torus.
Moreover, in case $\Sigma$ is homeomorphic to a torus, then it is embedded,
minimal, conformal to a flat square torus and Ric$(N)=0$ where $N$ is a unit
field normal to $\Sigma.$ The result is sharp, we can perturb the standard
metric on the 3-sphere in its conformal class to obtain metrics of nonnegative
Ricci curvature admitting minimal tori which are stable as CMC surfaces.
  As a consequence, in any 3-sphere of positive Ricci curvature which is
conformally flat, the isoperimetric domains are topologically 3-balls. This
proves a special case of a conjecture of A. Ros.


title:
Equivalent topological invariants for one-dimensional Majorana wires in
  symmetry class D

abstract:
  Topological superconductors in one spatial dimension exhibiting a single
Majorana bound state at each end are distinguished from trivial gapped systems
by a Z_2 topological invariant. Originally, this invariant was calculated by
Kitaev in terms of the Pfaffian of the Majorana representation of the
Hamiltonian: The sign of this Pfaffian divides the set of all gapped quadratic
forms of Majorana fermions into two inequivalent classes. In the more familiar
Bogoliubov de Gennes mean field description of superconductivity, an emergent
particle hole symmetry gives rise to a quantized Zak-Berry phase the value of
which is also a topological invariant. In this work, we explicitly show the
equivalence of these two formulations by relating both of them to the phase
winding of the transformation matrix that brings the Majorana representation
matrix of the Hamiltonian into its Jordan normal form.


title:
Implementing a Wall-In Building Placement in StarCraft with Declarative
  Programming

abstract:
  In real-time strategy games like StarCraft, skilled players often block the
entrance to their base with buildings to prevent the opponent's units from
getting inside. This technique, called "walling-in", is a vital part of
player's skill set, allowing him to survive early aggression. However, current
artificial players (bots) do not possess this skill, due to numerous
inconveniences surfacing during its implementation in imperative languages like
C++ or Java. In this text, written as a guide for bot programmers, we address
the problem of finding an appropriate building placement that would block the
entrance to player's base, and present a ready to use declarative solution
employing the paradigm of answer set programming (ASP). We also encourage the
readers to experiment with different declarative approaches to this problem.


title: Loops in inflationary correlation functions

abstract:
  We review the recent progress regarding the loop corrections to the
correlation functions in the inflationary universe. A naive perturbation theory
predicts that loop corrections generated during inflation suffer from various
infrared (IR) pathologies. Introducing an IR cutoff by hand is not only
unsatisfactory but also does not fix the problem of secular growth, which may
ruin the predictive power of inflation models if the inflation lasts
sufficiently long. We discuss the origin of the IR divergences and explore the
regularity conditions of loop corrections for the adiabatic perturbation, the
iso-curvature perturbation, and the tensor perturbation, in turn. These three
kinds of perturbations have qualitative differences, but in discussing the IR
regularity there is a feature common to all cases, which is the importance of
the proper identification of observable quantities. Genuinely observable
quantities should respect the gauge invariance from the view point of a local
observer. Interestingly, we find that the requirement of the IR regularity
restricts the allowed quantum states.


title: On the eclipsing cataclysmic variable star HBHA 4705-03

abstract:
  We present observations and analysis of a new eclipsing binary HBHA 4705-03.
Using decomposition of the light curve into accretion disk and hot spot
components, we estimated photometrically the mass ratio of the studied system
to be q=0.62 +-0.07. Other fundamental parameters was found with modeling. This
approach gave: white dwarf mass M_1 = (0.8 +- 0.2) M_sun, secondary mass
M_2=(0.497 +- 0.05) M_sun, orbital radius a=1.418 R_sun, orbital inclination i
= (81.58 +- 0.5) deg, accretion disk radius r_d/a = 0.366 +- 0.002, and
accretion rate dot{M} = (2.5 +- 2) * 10^{18}[g/s], (3*10^{-8} [M_sun/yr]).
Power spectrum analysis revealed ambiguous low-period Quasi Periodic
Oscillations centered at the frequencies f_{1}=0.00076 Hz, f_2=0.00048 Hz and
f_3=0.00036 Hz. The B-V=0.04 [mag] color corresponds to a dwarf novae during an
outburst. The examined light curves suggest that HBHA 4705-03 is a nova-like
variable star.


title:
Modulation of neutral interstellar He, Ne, O in the heliosphere.
  Survival probabilities and abundances at IBEX

abstract:
  Direct sampling of neutral interstellar (NIS) atoms by the Interstellar
Boundary Explorer (IBEX) can potentially provide a complementary method for
studying element abundances in the Local Interstellar Cloud and processes in
the heliosphere interface.}{We set the stage for abundance-aimed in-depth
analysis of measurements of NIS He, Ne, and O by IBEX and determine systematic
differences between abundances derived from various calculation methods and
their uncertainties.}{Using a model of ionization rates of the NIS species in
the heliosphere, based on independent measurements of the solar wind and solar
EUV radiation, we develop a time-dependent method of calculating the survival
probabilities of NIS atoms from the termination shock (TS) of the solar wind to
IBEX. With them, we calculate densities of these species along the Earth's
orbit and simulate the fluxes of NIS species as observed by IBEX. We study
pairwise ratios of survival probabilities, densities and fluxes of NIS species
at IBEX to calculate correction factors for inferring the abundances at
TS.}{The analytic method to calculate the survival probabilities gives
acceptable results only for He and Ne during low solar activity. For the
remaining portions of the solar cycle, and at all times for O, a fully time
dependent model should be used. Electron impact ionization is surprisingly
important for NIS O. Interpreting the IBEX observations using the time
dependent model yields the LIC Ne/O abundance of $0.16\pm40%$. The uncertainty
is mostly due to uncertainties in the ionization rates and in the NIS gas flow
vector.}{The Ne/He, O/He and Ne/O ratios for survival probabilities, local
densities, and fluxes scaled to TS systematically differ and thus an analysis
based only on survival probabilities or densities is not recommended, except
the Ne/O abundance for observations at low solar activity.


title:
Quantitative Estimates on the Binding Energy for Hydrogen in
  Non-Relativistic QED. II. The spin case

abstract:
  The hydrogen binding energy in the Pauli-Fierz model with the spin Zeeman
term is determined up to the order alpha cube, where alpha denotes the
fine-structure constant.


title: Dynamic parity recovery in a strongly driven Cooper-pair box

abstract:
  We study a superconducting charge qubit coupled to an intensive
electromagnetic field and probe changes in the resonance frequency of the
formed dressed states. At large driving strengths, exceeding the qubit
energy-level splitting, this reveals the well known Landau-Zener-Stuckelberg
(LZS) interference structure of a longitudinally driven two-level system. For
even stronger drives we observe a significant change in the LZS pattern and
contrast. We attribute this to photon-assisted quasiparticle tunneling in the
qubit. This results in the recovery of the qubit parity, eliminating effects of
quasiparticle poisoning and leads to an enhanced interferometric response. The
interference pattern becomes robust to quasiparticle poisoning and has a good
potential for accurate charge sensing.


title:
New upper bound on block sensitivity and certificate complexity in terms
  of sensitivity

abstract:
  Sensitivity \cite{CD82,CDR86} and block sensitivity \cite{Nisan91} are two
important complexity measures of Boolean functions. A longstanding open problem
in decision tree complexity, the "Sensitivity versus Block Sensitivity"
question, proposed by Nisan and Szegedy \cite{Nisan94} in 1992, is whether
these two complexity measures are polynomially related, i.e., whether
$bs(f)=O(s(f)^{O(1)})$.
  We prove an new upper bound on block sensitivity in terms of sensitivity:
$bs(f) \leq 2^{s(f)-1} s(f)$. Previously, the best upper bound on block
sensitivity was $bs(f) \leq (\frac{e}{\sqrt{2\pi}}) e^{s(f)} \sqrt{s(f)}$ by
Kenyon and Kutin \cite{KK}. We also prove that if $\min\{s_0(f),s_1(f)\}$ is a
constant, then sensitivity and block sensitivity are linearly related, i.e.
$bs(f)=O(s(f))$.


title: Polymer collapse and crystallization in bond fluctuation models

abstract:
  While the $\Theta$-collapse of single long polymers in bad solvents is
usually a continuous (tri-critical) phase transition, there are exceptions
where it is preempted by a discontinuous crystallization (liquid
$\leftrightarrow$ solid) transition. For a version of the bond-fluctuation
model (a model where monomers are represented as $2\times 2\times 2$ cubes, and
bonds can have lengths between 2 and $\sqrt{10}$) it was recently shown by F.
Rampf {\it et al.} that there exist distinct collapse and crystallization
transitions for long but {\it finite} chains. But as the chain length goes to
infinity, both transition temperatures converge to the same $T^*$, i.e.
infinitely long polymers collapse immediately into a solid state. We explain
this by the observation that polymers crystallize in the Rampf {\it et al.}
model into a non-trivial cubic crystal structure (the `A15' or `Cr$_3$Si'
Frank-Kasper structure) which has many degenerate ground states and, as a
consequence, Bloch walls. If one controlls the polymer growth such that only
one ground state is populated and Bloch walls are completely avoided, the
liquid-solid transition is a smooth cross-over without any sharp transition at
all.


title: Fits to SO(10) Grand Unified Models

abstract:
  We perform numerical fits of Grand Unified Models based on SO(10), using
various combinations of 10-, 120- and 126-dimensional Higgs representations.
Both the supersymmetric and non-supersymmetric versions are fitted, as well as
both possible neutrino mass orderings. In contrast to most previous works, we
perform the fits at the weak scale, i.e. we use RG evolution from the GUT
scale, at which the GUT-relations between the various Yukawa coupling matrices
hold, down to the weak scale. In addition, the right-handed neutrinos of the
seesaw mechanism are integrated out one by one in the RG running. Other new
features are the inclusion of recent results on the reactor neutrino mixing
angle and the Higgs mass (in the non-SUSY case). As expected from vacuum
stability considerations, the low Higgs mass and the large top-quark Yukawa
coupling cause some pressure on the fits. A lower top-quark mass, as sometimes
argued to be the result of a more consistent extraction from experimental
results, can relieve this pressure and improve the fits. We give predictions
for neutrino masses, including the effective one for neutrinoless double beta
decay, as well as the atmospheric neutrino mixing angle and the leptonic CP
phase for neutrino oscillations.


title:
An empirical study to check the accuracy of approximating averages of
  ratios using ratios of averages

abstract:
  For a number of researchers a number of publications for each author is
simulated using the zeta distribution and then for each publication a number of
citations per publication simulated. Bootstrap confidence intervals indicate
that the difference between the average of ratios and the ratio of averages are
not significant, and there are no significant differences in the distributions
in realistic problems when using the two-sample Kolmogorov-Smirnov test to
compare distributions. It was found that the log-logistic distribution which is
a general form for the ratio of two correlated Pareto random variables, give a
good fit to the estimated ratios.


title:
Hadroproduction of $\Upsilon(nS)$ above $B\bar B$ Thresholds and
  Implications for $Y_b(10890)$

abstract:
  Based on the non-relativistic QCD factorization scheme, we study the
hadroproduction of the bottomonium states $\Upsilon(5S)$ and $\Upsilon(6S)$. We
argue to search for them in the final states $\Upsilon(1S,2S,3S)\pi^+\pi^-$,
which are found to have anomalously large production rates at $\Upsilon(5S)$.
The enhanced rates for the dipionic transitions in the $\Upsilon(5S)$-energy
region could, besides $\Upsilon(5S)$, be ascribed to $Y_b(10890)$, a state
reported by the Belle collaboration, which may be interpreted as a tetraquark.
The LHC/Tevatron measurements are capable of making a case in favor of or
against the existence of $Y_b(10890)$, as demonstrated here. Dalitz analysis of
the $\Upsilon(1S,2S,3S)\pi^+\pi^-$ states from the $\Upsilon(5S)/Y_b(10890)$
decays also impacts directly on the interpretation of the charged
bottomonium-like states, $Z_b(10600)$ and $Z_b(10650)$, discovered by Belle in
these puzzling decays.


title:
Assessment of detectability of neutral interstellar deuterium by IBEX
  observations

abstract:
  The abundance of deuterium in the interstellar gas in front of the Sun gives
insight into the processes of filtration of neutral interstellar species
through the heliospheric interface and potentially into the chemical evolution
of the Galactic gas. We investigate the possibility of detection of neutral
interstellar deuterium at 1 AU from the Sun by direct sampling by the
Interstellar Boundary Explorer (IBEX). We simulate the flux of neutral
interstellar D at IBEX for the actual measurement conditions. We assess the
number of interstellar D atom counts expected during the first three years of
IBEX operation. We also simulate observations expected during an epoch of high
solar activity. In addition, we calculate the expected counts of D atoms from
the thin terrestrial water layer, sputtered from the IBEX-Lo conversion surface
by neutral interstellar He atoms. Most D counts registered by IBEX-Lo are
expected to originate from the water layer, exceeding the interstellar signal
by 2 orders of magnitude. However, the sputtering should stop once the Earth
leaves the portion of orbit traversed by interstellar He atoms. We identify
seasons during the year when mostly the genuine interstellar D atoms are
expected in the signal. During the first 3 years of IBEX operations about 2
detectable interstellar D atoms are expected. This number is comparable with
the expected number of sputtered D atoms registered during the same time
intervals. The most favorable conditions for the detection occur during low
solar activity, in an interval including March and April each year. The
detection chances could be improved by extending the instrument duty cycle,
e.g., by making observations in the special deuterium mode of IBEX-Lo.


title:
Heavy states of hadron string as weak interacting massive particles for
  Dark Matter

abstract:
  Massive states (of order 10 Gev and more) of hadron string (with scale 1 Gev)
can have very small coupling constants with usual baryons of the Universe.
Corresponding mean times for them are found to be order and even more than the
age of the Universe. They are proposed as possible candidates for weak
interacting massive particles (WIMP) of Dark Matter.


title: A Generic Scheme and Properties of Bidirectional Transformations

abstract:
  The recent rise of interest in bidirectional transformations (BXs) has led to
the development of many BX frameworks, originating in diverse computer science
disciplines. From a user perspective, these frameworks vary significantly in
both interface and predictability of the underlying bidirectionalization
technique. In this paper we start by presenting a generic BX scheme that can be
instantiated to different concrete interfaces, by plugging-in the desired
notion of update and traceability. Based on that scheme, we then present
several desirable generic properties that may characterize a BX framework, and
show how they can be instantiated to concrete interfaces. This generic
presentation is useful when exploring the BX design space: it might help
developers when designing new frameworks and end-users when comparing existing
ones. We support the latter claim, by applying it in a comparative survey of
popular existing BX frameworks.


title: Discriminating quantum field theories in non-inertial frames

abstract:
  Quantum channel discrimination is used to test quantum field theory in
non-inertial frames. We search for optimal strategies which can best see the
thermality of the Unruh effect. We find that the usual strategy of counting
particles in the vacuum can be improved, thereby enhancing the discrimination.
Coherent state probes, which are practical and feasible, give exponential
improvement in the discrimination of the Unruh channel and come very close to
optimal. In particular, we show that using a short pulse laser, the
accelerations required to test the Unruh effect can be reduced by at least
three orders of magnitude with the same statistical confidence as could be
achieved in vacuum. These results are expected to be relevant to upcoming
experimental tests of quantum field theory in curved spacetimes in analogue
systems.


title: Entry and Return times distribution

abstract:
  This is a review article on the distributions of entry and return times in
dynamical systems which discusses recent results for systems of positive
entropy.


title: Entrance Time and R\'enyi Entropy

abstract:
  For ergodic systems with generating partitions, the well known result of
Ornstein and Weiss shows that the exponential growth rate of the recurrence
time is almost surely equal to the metric entropy. Here we look at the
exponential growth rate of entrance times, and show that it equals the entropy,
where the convergence is in probability in the product measure. This is however
under the assumptions that the limiting entrance times distribution exists
almost surely. This condition looks natural in the light of an example by
Shields in which the limsup in the exponential growth rate is infinite almost
everywhere but where the limiting entrance times do not exist. We then also
consider $\phi$-mixing systems and prove a result connecting the R\'enyi
entropy to sums over the entrance times orbit segments.


title: On series of sectorial forms

abstract:
  We prove a convergence theorem for partial sums of sectorial forms with
vertex zero and a common semi-angle. As an example we prove an absorption
theorem for sectorial forms.


title: Finite Element Based Tracking of Deforming Surfaces

abstract:
  We present an approach to robustly track the geometry of an object that
deforms over time from a set of input point clouds captured from a single
viewpoint. The deformations we consider are caused by applying forces to known
locations on the object's surface. Our method combines the use of prior
information on the geometry of the object modeled by a smooth template and the
use of a linear finite element method to predict the deformation. This allows
the accurate reconstruction of both the observed and the unobserved sides of
the object. We present tracking results for noisy low-quality point clouds
acquired by either a stereo camera or a depth camera, and simulations with
point clouds corrupted by different error terms. We show that our method is
also applicable to large non-linear deformations.


title:
Robust State and fault Estimation of Linear Discrete Time Systems with
  Unknown Disturbances

abstract:
  This paper presents a new robust fault and state estimation based on
recursive least square filter for linear stochastic systems with unknown
disturbances. The novel elements of the algorithm are : a simple, easily
implementable, square root method which is shown to solve the numerical
problems affecting the unknown input filter algorithm and related information
filter and smoothing algorithms; an iterative framework, where information and
covariance filters and smoothing are sequentially run in order to estimate the
state and fault. This method provides a direct estimate of the state and fault
in a single block with a simple formulation. A numerical example is given in
order to illustrate the performance of the proposed filter.


title: Quantum-classical hybrid dynamics - a summary

abstract:
  A summary of a recently proposed description of quantum-classical hybrids is
presented, which concerns quantum and classical degrees of freedom of a
composite object that interact directly with each other. This is based on
notions of classical Hamiltonian mechanics suitably extended to quantum
mechanics.


title: Derivatives of meromorphic functions of finite order

abstract:
  A result is proved concerning meromorphic functions of finite order in the
plane such that all but finitely many zeros of the second derivative are zeros
of the first derivative.


title:
Thermal effective potential in two- and three- dimensional
  non-commutative spaces

abstract:
  Thermal correlation functions and the associated effective statistical
potential are computed in two- and three-dimensional non-commutative space
using an operator formulation that makes no reference to a star product. The
corresponding results for the Moyal and Voros star products are then easily
obtained by taking the corresponding overlap with Moyal and Voros bases. The
forms of the correlation function and the effective potential are found to be
the same, except that in the Voros case the thermal length undergoes a
non-commutative deformation, ensuring that it has a lower bound of the order of
$\sqrt{\theta}$. It is shown that in a suitable basis (called here
quasi-commutative) in the multi-particle sector the thermal correlation
function coincides with the commutative result both in the Moyal and Voros
cases, with an appropriate non-commutative correction to the thermal length in
the Voros case, and that the Pauli principle is restored.


title: A Note on the Hyperbolicity Cone of the Specialized V\'amos Polynomial

abstract:
  The specialized V\'amos polynomial is a hyperbolic polynomial of degree four
in four variables with the property that none of its powers admits a definite
determinantal representation. We will use a heuristical method to prove that
its hyperbolicity cone is a spectrahedron.


title: On quantization of the SU(2) Skyrmions

abstract:
  There are two known approaches for quantizing the SU(2) Skyrme model, the
semiclassical and canonical quantization. The semiclassical approach does not
take into account the non-commutativity of velocity of quantum coordinates and
the stability of the semiclassical soliton is conveniently ensured by the
symmetry breaking term. The canonical quantum approach leads to quantum mass
correction that is not obtained in the semiclassical approach. In this letter
we argue that these two approaches are not equivalent and lead to different
results. We show that the resulting profile functions have the same asymptotic
behaviour, however their shape in the region close to the origin is different.


title:
Suppression of superconductivity by inhomogeneous chiral condensation in
  the NJL$_2$ model

abstract:
  We investigate the possibility of spatially inhomogeneous chiral and Cooper,
or superconducting, pairing in the (1+1)-dimensional model by Chodos et al [
Phys. Rev. D61, 045011 (2000)] generalized to continuous chiral invariance. The
consideration is performed at nonzero temperature $T$ and quark number chemical
potential $\mu$. It is shown in the framework of the Fulde--Ferrel
inhomogeneity ansatz for chiral and Cooper condensates that if $G_1>G_2$, where
$G_1$ and $G_2$ are the coupling constants in the quark-antiquark and diquark
channels, then in the $(\mu,T)$-phase diagram the superconducting phase is
suppressed by spatially inhomogeneous chiral spiral phase with broken chiral
symmetry. In contrast, in the above mentioned original Chodos et al model,
where only the opportunity for homogeneous condensates were taken into account,
the superconducting phase is realized at sufficiently high values of $\mu$ at
arbitrary values of $G_2>0$, including the interval $0<G_2<G_1$.


title:
Notes on non-thermal X-ray radiation of radio supernova remnant W50 and
  collimated radiation of SS433

abstract:
  Diffuse X-ray emission of the radio nebula W50 along the line of the of jets
of the microquasar SS433 has a non-thermal power law component. This could be
the inverse-Compton scattered emission of the SS433 accretion disk funnel,
which is collimated in a cone before the scattering off relativistic electrons
- so called emission cone, hypothetical and invisible directly. This model
would remove the synchrotron model problems of the X-ray emission: of
acceleration of the emitting electrons to extreme Lorenz factors $\gamma >
10^9$ in the mildly relativistic SS433 jets and morphological difference of W50
in the synchrotron radio and X-ray bands. Our study of the comptonization model
showed up that in the case of the minimal factor $\gamma_{\rm min}$ of the
order 1 the energy of the relativistic particles, which upscatter the cone
photons, is close to or exceeds total energy of the nebula - the case of
inapplicability of the model. In the case of $\gamma_{\rm min} > 10$ the cone
emission is comptonized beyond the 1 - 10\,keV band, consequently the existing
observational data are non-sensitive to the emission cone.


title: State space modelling and data analysis exercises in LISA Pathfinder

abstract:
  LISA Pathfinder is a mission planned by the European Space Agency to test the
key technologies that will allow the detection of gravitational waves in space.
The instrument on-board, the LISA Technology package, will undergo an
exhaustive campaign of calibrations and noise characterisation campaigns in
order to fully describe the noise model. Data analysis plays an important role
in the mission and for that reason the data analysis team has been developing a
toolbox which contains all the functionalities required during operations. In
this contribution we give an overview of recent activities, focusing on the
improvements in the modelling of the instrument and in the data analysis
campaigns performed both with real and simulated data.

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


title:
Equation of state of a granular gas homogeneously driven by particle
  rotations

abstract:
  We report an experimental study of a dilute "gas" of magnetic particles
subjected to a vertical alternating magnetic field in a 3D container. Due to
the torque exerted by the field on the magnetic moment of each particle, a
spatially homogeneous and chaotic forcing is reached where only rotational
motions are driven. This forcing differs significantly from boundary-driven
systems used in most previous experimental studies on non equilibrium
dissipative granular gases. Here, no cluster formation occurs, and the equation
of state displays strong analogy with the usual gas one apart from a geometric
factor. Collision statistics is also measured and shows an exponential tail for
the particle velocity distribution. Most of these observations are well
explained by a simple model which uncovers out-of-equilibrium systems
undergoing uniform "heating".

categories: cond-mat.soft cond-mat.other cond-mat.stat-mech nlin.CD


title:
Searches for $B^{0}_{(s)} \rightarrow J/{\psi} p \overline{p}$ and
  $B^{+} \to J/{\psi} p \overline{p} {\pi}^{+}$ decays

abstract:
  The results of searches for $B^{0}_{(s)} \rightarrow J/{\psi} p \overline{p}$
and $B^{+} \to J/{\psi} p \overline{p} {\pi}^{+}$ decays are reported. The
analysis is based on a data sample, corresponding to an integrated luminosity
of 1.0 fb$^{-1}$ of $pp$ collisions, collected with the LHCb detector. An
excess with 2.8$\,\sigma$ significance is seen for the decay $B^{0}_{s} \to
J/{\psi} p \overline{p}$ and an upper limit on the branching fraction is set at
the 90 % confidence level: ${\cal B}(B^{0}_{s} \to J/{\psi} p \overline{p}) <
4.8 \times 10^{-6}$, which is the first such limit. No significant signals are
seen for $B^{0} \to J/{\psi} p \overline{p}$ and $B^{+} \to J/{\psi} p
\overline{p} {\pi}^{+}$ decays, for which the corresponding limits are set:
${\cal{B}}(B^{0} \to J/{\psi} p \overline{p}) < 5.2 \times 10^{-7}$, which
significantly improves the existing limit; and ${\cal{B}}(B^{+} \to J/{\psi} p
\overline{p} {\pi}^{+}) < 5.0 \times 10^{-7}$, which is the first limit on this
branching fraction.


title: Filiform Z2xZ2-color Lie superalgebras

abstract:
  We continue the study of the filiform Z2xZ2-color Lie superalgebras. All of
them can be obtained by using infinitesimal deformations, i.e. cocycles. In
this work we give the total dimension of such cocycles (for any dimensions n,
m, p and t of the Z2xZ2-color Lie superalgebras). Also, we give a basis of such
cocycles in some generic and concrete cases.


title: Fibonacci numbers and Trivalent graphs

abstract:
  We study the Fibonacci and Lucas numbers and demonstrate how identities can
be constructed by investigating trivalent graphs and splitting fields.


title: Cause of the charge radius isotope shift at the \emph{N}=126 shell gap

abstract:
  We discuss the mechanism causing the `kink' in the charge radius isotope
shift at the N=126 shell closure. The occupation of the 1$i_{11/2}$ neutron
orbital is the decisive factor for reproducing the experimentally observed
kink. We investigate whether this orbital is occupied or not by different
Skyrme effective interactions as neutrons are added above the shell closure.
Our results demonstrate that several factors can cause an appreciable
occupation of the 1$i_{11/2}$ neutron orbital, including the magnitude of the
spin-orbit field, and the isoscalar effective mass of the Skyrme interaction.
The symmetry energy of the effective interaction has little influence upon its
ability to reproduce the kink.


title:
A temporal logic approach to modular design of synthetic biological
  circuits

abstract:
  We present a new approach for the design of a synthetic biological circuit
whose behaviour is specified in terms of signal temporal logic (STL) formulae.
We first show how to characterise with STL formulae the input/output behaviour
of biological modules miming the classical logical gates (AND, NOT, OR). Hence,
we provide the regions of the parameter space for which these specifications
are satisfied. Given a STL specification of the target circuit to be designed
and the networks of its constituent components, we propose a methodology to
constrain the behaviour of each module, then identifying the subset of the
parameter space in which those constraints are satisfied, providing also a
measure of the robustness for the target circuit design. This approach, which
leverages recent results on the quantitative semantics of Signal Temporal
Logic, is illustrated by synthesising a biological implementation of an
half-adder.


title:
$L^p$-integrability, dimensions of supports of fourier transforms and
  applications

abstract:
  It is proved that there does not exist any non zero function in $L^p(\R^n)$
with $1\leq p\leq 2n/\alpha$ if its Fourier transform is supported by a set of
finite packing $\alpha$-measure where $0<\alpha<n$. It is shown that the
assertion fails for $p>2n/\alpha$. The result is applied to prove $L^p$
Wiener-Tauberian theorems for $\R^n$ and M(2).


title:
Uplink Performance of Time-Reversal MRC in Massive MIMO Systems Subject
  to Phase Noise

abstract:
  Multi-user multiple-input multiple-output (MU-MIMO) cellular systems with an
excess of base station (BS) antennas (Massive MIMO) offer unprecedented
multiplexing gains and radiated energy efficiency. Oscillator phase noise is
introduced in the transmitter and receiver radio frequency chains and severely
degrades the performance of communication systems. We study the effect of
oscillator phase noise in frequency-selective Massive MIMO systems with
imperfect channel state information (CSI). In particular, we consider two
distinct operation modes, namely when the phase noise processes at the $M$ BS
antennas are identical (synchronous operation) and when they are independent
(non-synchronous operation). We analyze a linear and low-complexity
time-reversal maximum-ratio combining (TR-MRC) reception strategy. For both
operation modes we derive a lower bound on the sum-capacity and we compare
their performance. Based on the derived achievable sum-rates, we show that with
the proposed receive processing an $O(\sqrt{M})$ array gain is achievable. Due
to the phase noise drift the estimated effective channel becomes progressively
outdated. Therefore, phase noise effectively limits the length of the interval
used for data transmission and the number of scheduled users. The derived
achievable rates provide insights into the optimum choice of the data interval
length and the number of scheduled users.


title: An accurate bound on tensor-to-scalar ratio and the scale of inflation

abstract:
  In this paper we provide an accurate bound on primordial gravitational waves,
i.e. tensor-to-scalar ratio $(r)$ for a general class of single-field models of
inflation where inflation occurs always below the Planck scale, and the field
displacement during inflation remains sub-Planckian. If inflation has to make
connection with the real particle physics framework then it must be explained
within an effective field theory description where it can be trustable below
the UV cut-off of the scale of gravity. We provide an analytical estimation and
estimate the largest possible $r$, i.e. $r\leq 0.12$, for the field
displacement less than the Planck cut-off.


title: Squark flavour violation and naturalness at the LHC

abstract:
  While rare meson decays place stringent constraints on much of the flavour
violating parameter space of supersymmetric models, the mixing between
right-handed top and charm squarks is so far unconstrained by the available
data. Such mixing has in fact a very appealing phenomenology: it significantly
weakens the current experimental bounds from direct squark searches and leads
to a modest reduction of fine-tuning. The scenario can be tested already with
the present 8 TeV data set by looking for the flavour violating final state t
anti-t + missing E_T, thanks to the large squark pair production cross section.


title: Families of quasi-local conservation laws and quantum spin transport

abstract:
  For fundamental integrable quantum chains with deformed symmetries we outline
a general procedure for defining a continuous family of quasi-local operators
whose time-derivative is supported near the two boundary sites only. The
program is implemented for a spin 1/2 XXZ chain, resulting in improved rigorous
estimates for the high temperature spin Drude weight.

categories: cond-mat.stat-mech cond-mat.str-el math-ph math.MP quant-ph


title: Resonant tunneling in graphene pseudomagnetic quantum dots

abstract:
  Realistic relaxed configurations of triaxially strained graphene quantum dots
are obtained from unbiased atomistic mechanical simulations. The local
electronic structure and quantum transport characteristics of y-junctions based
on such dots are studied, revealing that the quasi-uniform pseudomagnetic field
induced by strain restricts transport to Landau level- and edge state-assisted
resonant tunneling. Valley degeneracy is broken in the presence of an external
field, allowing the selective filtering of the valley and chirality of the
states assisting in the resonant tunneling. Asymmetric strain conditions can be
explored to select the exit channel of the y-junction.


title:
Extension of continuum time-dependent Hartree-Fock method to proton
  states

abstract:
  This paper deals with the solution of the spherically symmetric
time-dependent Hartree-Fock approximation applied to nuclear giant monopole
resonances in the small amplitude regime. The problem is spatially unbounded as
the resonance state is in the continuum. The practical requirement to perform
the calculation in a finite-sized spatial region yields an artificial boundary,
which is not present physically. The question of how to ensure the boundary
does not interfere with the internal solution, while keeping the overall
calculation time low is studied. Here we propose an absorbing boundary
condition scheme to handle the conflict. The derivation, via a Laplace
transform method, and implementation is described. An inverse Laplace transform
required by the absorbing boundaries is calculated using a method of non-linear
least squares. The accuracy and efficiency of the scheme is tested and results
presented to support the case that they are a effective way of handling the
artificial boundary.


title:
Lifshitz black brane thermodynamics in the presence of a nonlinear
  electromagnetic field

abstract:
  In this paper, we investigate the thermodynamics of Lifshitz black branes in
the presence of a nonlinear massless electromagnetic field. We begin by
introducing the appropriate action in grand-canonical and canonical ensembles
for nonlinear electromagnetic field. The condition on the parameters of the
metric for having black brane solutions will be presented. Since the field
equations cannot be solved for an arbitrary value of the critical exponent $z$,
we obtain a conserved quantity along the $r$ coordinate that enables us to
relate the parameters of the metric at the horizon and at infinity. Then, we
calculate the energy density of the Lifshitz black brane through the use of the
counterterm method generalized for the asymptotic Lifshitz spacetimes. Finally,
we present a relation between the energy density and the thermodynamical
quantities, electric potential, charge density, temperature and entropy
density. This relation is the generalization of Smarr formula for anti-de
Sitter black branes.


title: Helicalised fractals

abstract:
  We formulate the helicaliser, which replaces a given smooth curve by another
curve that winds around it. In our analysis, we relate this formulation to the
geometrical properties of the self-similar circular fractal (the discrete
version of the curved helical fractal). Iterative applications of the
helicaliser to a given curve yields a set of helicalisations, with the
infinitely helicalised object being a fractal. We derive the Hausdorff
dimension for the infinitely helicalised straight line and circle, showing that
it takes the form of the self-similar dimension for a self-similar fractal,
with lower bound of 1. Upper bounds to the Hausdorff dimension as functions of
$\omega$ have been determined for the linear helical fractal, curved helical
fractal and circular fractal, based on the no-self-intersection constraint. For
large number of windings $\omega\rightarrow\infty$, the upper bounds all have
the limit of 2. This would suggest that carrying out a topological analysis on
the structure of chromosomes by modelling it as a two-dimensional surface may
be beneficial towards further understanding on the dynamics of DNA packaging.


title: Neutron star deformation due to multipolar magnetic fields

abstract:
  Certain multi-wavelength observations of neutron stars, such as intermittent
radio emissions from rotation-powered pulsars beyond the pair-cascade death
line, the pulse profile of the magnetar SGR 1900+14 after its 1998 August 27
giant flare, and X-ray spectral features of PSR J0821-4300 and SGR 0418+5729,
suggest that the magnetic fields of non-accreting neutron stars are not purely
dipolar and may contain higher-order multipoles. Here, we calculate the
ellipticity of a non-barotropic neutron star with (i) a quadrupole
poloidal-toroidal field, and (ii) a purely poloidal field containing arbitrary
multipoles, deriving the relation between the ellipticity and the multipole
amplitudes. We present, as a worked example, a purely poloidal field comprising
dipole, quadrupole, and octupole components. We show the correlation between
field energy and ellipticity for each multipole, that the l=4 multipole has the
lowest energy, and that l=5 has the lowest ellipticity. We show how a mixed
multipolar field creates an observationally testable mismatch between the
principal axes of inertia (to be inferred from gravitational wave data) and the
magnetic inclination angle. Strong quadrupole and octupole components (with
amplitudes ~ 10^2 times higher than the dipole) in SGR 0418+5729 still yield
ellipticity ~ 10^{-8}, consistent with current gravitational wave upper limits.
The existence of higher multipoles in fast-rotating objects (e.g., newborn
magnetars) has interesting implications for the braking law and hence phase
tracking during coherent gravitational wave searches.


title: Facets of secondary polytopes and Chow stability of toric varieties

abstract:
  Chow stability is one notion of Mumford's Geometric Invariant Theory for
studying the moduli space of polarized varieties. Kapranov, Sturmfels and
Zelevinsky detected that Chow stability of polarized toric varieties is
determined by its inherent {\it secondary polytope}, which is a polytope whose
vertices correspond to regular triangulations of the associated polytope
\cite{KSZ}. In this paper, we give a purely convex-geometrical proof that the
Chow form of a projective toric variety is $H$-semistable if and only if it is
$H$-polystable with respect to the standard complex torus action $H$. This
\emph{essentially} means that Chow semistability is equivalent to Chow
polystability for any (not-necessaliry-smooth) projective toric varieties.


title: Leptophilic dark matter in gauged $L_{\mu}-L_{\tau}$ extension of MSSM

abstract:
  Positron excess upto energies $\sim$350 GeV has been observed by AMS-02
result and it is consistent with the positron excess observed by PAMELA upto
100 GeV. There is no observed excess of anti-protons over the expected CR
background. We propose a leptophilic dark matter with an
$U(1)_{L_{\mu}-L_{\tau}}$ gauge extension of MSSM. The dark matter is an
admixture of the $L_{\mu}-L_{\tau}$ gaugino and fermionic partners of the extra
$SU(2)$ singlet Higgs boson, which break the $L_{\mu}-L_{\tau}$ symmetry. We
construct the SM$\otimes U(1)_{ L_{\mu}-L_{\tau}}$ SUSY model which provides
the correct relic density of dark matter and is consistent with constrain on
$Z'$ from LHC. The large dark matter annihilation cross-section into
$\mu^{+}\mu^{-}$ and $\tau^{+}\tau^{-}$, needed to explain PAMELA and AMS-02 is
achieved by Breit-Wigner resonance.


title:
General model for a entanglement-enhanced composed quantum game on a
  two-dimensional lattice

abstract:
  We introduce a method of analyzing entanglement enhanced quantum games on
regular lattices of agents. Our method is valid for setups with periodic and
non-periodic boundary conditions. To demonstrate our approach we study two
different types games, namely the prisoner's dilemma game and a cooperative
Parrondo's game. In both cases we obtain results showing, that entanglement is
a crucial resource necessary for the agents to achieve positive capital gain.


title: The heat equation shrinks Ising droplets to points

abstract:
  Let D be a bounded, smooth enough domain of R^2. For L>0 consider the
continuous time, zero-temperature heat bath dynamics for the nearest-neighbor
Ising model on (Z/L)^2 (the square lattice with lattice spacing 1/L) with
initial condition such that \sigma_x=-1 if x\in D and \sigma_x=+ otherwise. We
prove the following classical conjecture due to H. Spohn: In the diffusive
limit where time is rescaled by L^2 and L tends to infinity, the boundary of
the droplet of "-" spins follows a deterministic anisotropic curve-shortening
flow, such that the normal velocity is given by the local curvature times an
explicit function of the local slope. Locally, in a suitable reference frame,
the evolution of the droplet boundary follows the one-dimensional heat
equation. To our knowledge, this is the first proof of mean curvature-type
droplet shrinking for a lattice model with genuine microscopic dynamics. An
important ingredient is our recent work, where the case of convex D was solved.
The other crucial point in the proof is obtaining precise regularity estimates
on the deterministic curve shortening flow. This builds on geometric and
analytic ideas of Grayson, Gage-Hamilton, Gage-Li, Chou-Zhu and others.


title: Computational Methods for a Class of Network Models

abstract:
  In the following article we provide an exposition of exact computational
methods to perform parameter inference from partially observed network models.
In particular, we consider the duplication attachment (DA) model which has a
likelihood function that typically cannot be evaluated in any reasonable
computational time. We consider a number of importance sampling (IS) and
sequential Monte Carlo (SMC) methods for approximating the likelihood of the
network model for a fixed parameter value. It is well-known that for IS, the
relative variance of the likelihood estimate typically grows at an exponential
rate in the time parameter (here this is associated to the size of the
network): we prove that, under assumptions, the SMC method will have relative
variance which can grow only polynomially. In order to perform parameter
estimation, we develop particle Markov chain Monte Carlo (PMCMC) algorithms to
perform Bayesian inference. Such algorithms use the afore-mentioned SMC
algorithms within the transition dynamics. The approaches are illustrated
numerically.


title:
Targeted smoothing parameter selection for estimating average causal
  effects

abstract:
  The non-parametric estimation of average causal effects in observational
studies often relies on controlling for confounding covariates through
smoothing regression methods such as kernel, splines or local polynomial
regression. Such regression methods are tuned via smoothing parameters which
regulates the amount of degrees of freedom used in the fit. In this paper we
propose data-driven methods for selecting smoothing parameters when the
targeted parameter is an average causal effect. For this purpose, we propose to
estimate the exact expression of the mean squared error of the estimators.
Asymptotic approximations indicate that the smoothing parameters minimizing
this mean squared error converges to zero faster than the optimal smoothing
parameter for the estimation of the regression functions. In a simulation study
we show that the proposed data-driven methods for selecting the smoothing
parameters yield lower empirical mean squared error than other methods
available such as, e.g., cross-validation.


title: Thermodynamics of Quasi-Topological Cosmology

abstract:
  In this paper, we study thermodynamical properties of the apparent horizon in
a universe governed by quasi-topological gravity. Our aim is twofold. First, by
using the variational method we derive the general form of Friedmann equation
in quasi-topological gravity. Then, by applying the first law of thermodynamics
on the apparent horizon, after using the entropy expression associated with the
black hole horizon in quasi-topological gravity, and replacing the horizon
radius, $r_{+}$, with the apparent horizon radius, $\tilde{r}_{A}$, we derive
the corresponding Friedmann equation in quasi-topological gravity. We find that
these two different approaches yield the same result which show the profound
connection between the first law of thermodynamics and the gravitational field
equations of quasi-topological gravity. We also study the validity of the
generalized second law of thermodynamics in quasi-topological cosmology. We
find that, with the assumption of the local equilibrium hypothesis, the
generalized second law of thermodynamics is fulfilled for the universe
enveloped by the apparent horizon for the late time cosmology.


title: Generation of the Higgs Condensate and Its Decay after Inflation

abstract:
  We investigate the dynamics of the Standard Model higgs with a minimal
coupling to gravity during and after inflation. In the regime where the
Standard Model vacuum is stable, we find that the higgs becomes a light
spectator field after about 30 efolds of inflation, irrespectively of its
initial value. Once the higgs has become light, its root-mean-square value h_*
relaxes to equilibrium in about 85 efolds for the inflationary scale of
H_*=10^4 GeV and in 20 efolds for H_*=10^10 GeV. The equilibrium value is given
by h_*~0.36 lambda^{-1/4}H_*, where lambda=0.09 ... 0.0005 is the higgs self
coupling at the scales H_*=10^4 ... 10^10 GeV. We show that the main decay
channel of the higgs condensate after inflation is the resonant production of
Standard Model gauge bosons. For a set of parameters we find that a significant
part of the condensate has decayed in between 340 and 630 Hubble times after
the onset of higgs oscillations, depending on H_* in a non-trivial way. The
higgs perturbations correspond to isocurvature modes during inflation but they
could generate significant adiabatic perturbations at a later stage for example
through a modulation of the reheating stage. However, this requires that the
inflaton(s) decay no later than a few hundred Hubble times after the onset of
higgs oscillations.


title:
From Bits to Atoms: 3D Printing in the Context of Supply Chain
  Strategies

abstract:
  A lot of attention in supply chain management has been devoted to
understanding customer requirements. What are customer priorities in terms of
price and service level, and how can companies go about fulfilling these
requirements in an optimal way? New manufacturing technology in the form of 3D
printing is about to change some of the underlying assumptions for different
supply chain set-ups. This paper explores opportunities and barriers of 3D
printing technology, specifically in a supply chain context. We are proposing a
set of principles that can act to bridge existing research on different supply
chain strategies and 3D printing. With these principles, researchers and
practitioners alike can better understand the opportunities and limitations of
3D printing in a supply chain management context.


title:
Density functional study of complete, first-order and critical wedge
  filling transitions

abstract:
  We present numerical studies of complete, first-order and critical wedge
filling transitions, at a right angle corner, using a microscopic fundamental
measure density functional theory. We consider systems with short-ranged,
cut-off Lennard-Jones, fluid-fluid forces and two types of wall-fluid
potential: a purely repulsive hard wall and also a long-ranged potential with
three different strengths. For each of these systems we first determine the
wetting properties occurring at a planar wall including any wetting transition
and the dependence of the contact angle on temperature. The hard wall corner is
completely filled by vapour on approaching bulk coexistence and the numerical
results for the growth of the meniscus thickness are in excellent agreement
with effective Hamiltonian predictions for the critical exponents and
amplitudes, at leading and next-to-leading order. In the presence of the
attractive wall-fluid interaction, the corresponding planar wall-fluid
interface exhibits a first-order wetting transition for each of the interaction
strengths considered. In the right angle wedge geometry the two strongest
interactions produce first-order filling transitions while for the weakest
interaction strength, for which wetting and filling occur closest to the bulk
critical point, the filling transition is second-order. For this continuous
transition the critical exponent describing the divergence of the meniscus
thickness is found to be in good agreement with effective Hamiltonian
predictions.


title:
Towards Compact and Frequency-Tunable Antenna Solutions for MIMO
  Transmission with a Single RF Chain

abstract:
  Recently, a technique called beam-space MIMO has been demonstrated as an
effective approach for transmitting multiple signals while using a single
RF-chain. In this work, we present novel design considerations and a compact
antenna solution to stimulate the deployment of beam-space MIMO in future
wireless applications. Targeting integration in small wireless devices, the
novel antenna is made of a single integrated radiator rather than an array of
physically-separated dipoles. It also drastically simplifies the implementation
of variable loads and DC bias circuits for BPSK modulated signals, and does not
require any external reconfigurable matching circuit. Finally, we show that
this antenna system could be reconfigured by dynamic adjustment of terminating
loads to preserve its beam-space multiplexing capabilities over a 1:2 tuning
range, thereby promoting the convergence of MIMO and dynamic spectrum
allocation via reduced-complexity hardware. A prototype achieving
single-RF-chain multiplexing at a fixed frequency is designed and measured,
showing excellent agreement between simulations and measurements.


title: Inner rings in disc galaxies: dead or alive

abstract:
  In this Letter, I distinguish "passive" inner rings as those with no current
star formation, as distinct from "active" inner rings that have undergone
recent star formation. I built a sample of nearby galaxies with inner rings
observed in the near- and mid-infrared from the NIRS0S and the S4G surveys. I
used archival far-ultraviolet (FUV) and H\alpha\ imaging of 319 galaxies to
diagnose whether their inner rings are passive or active. I found that passive
rings are found only in early-type disc galaxies (-3<=T<=2). In this range of
stages, 21+-3% and 28+-5% of the rings are passive according to the FUV and
H\alpha\ indicators, respectively. A ring that is passive according to the FUV
is always passive according to H\alpha, but the reverse is not always true.
Ring-lenses form 30-40% of passive rings, which is four times more than the
fraction of ring-lenses found in active rings in the stage range -3<=T<=2. This
is consistent with both a resonance and a manifold origin for the rings because
both models predict purely stellar rings to be wider than their star-forming
counterparts. In the case of resonance rings, the widening may be at least
partly due to the dissolution of rings. If most inner rings have a resonance
origin, I estimate 200Myr to be a lower bound for their dissolution time-scale.
This time-scale is of the order of one orbital period at the radius of inner
rings.


title:
Phase transition, critical behavior, and critical exponents of
  Myers-Perry black holes

abstract:
  The critical behavior of Myers-Perry black holes with equal angular momenta
in even dimensions are studied. We include the corrections beyond the
semiclassical approximation on Hawking temperature in the grand canonical
ensemble. Having done so, we find that the critical behavior and critical
exponents of Myers-Perry black holes correspond to those of a Van der Waals
liquid-gas where this analogy holds in any dimension. Also, using Ehrenfest's
equations, we calculate the order of the phase transition in the semiclassical
approximation for the canonical ensemble and beyond the semiclassical
approximation for the grand canonical ensemble near the critical point.
Finally, the Ruppeiner curvature formula is used to investigate the
thermodynamic geometry of Myers-Perry black holes.


title: Embedding Zprime models in SO(10) GUTs

abstract:
  We embed a theory with Zprime gauge boson (related to extra U(1) gauge group)
into a supersymmetric GUT theory based on SO(10). Two possible sequences of
SO(10) breaking via VEVs of appropriate Higgs fields are considered. Gauge
coupling unification provides constraints on low energy values of two
additional gauge coupling constants related to Zprime interactions with
fermions. Our main purpose is to investigate in detail the freedom in these two
values due to different scales of subsequent SO(10) breaking and unknown
threshold mass corrections in the gauge RGEs. These corrections are mainly
generated by Higgs representations and can be large because of the large
dimensions of these representations. To account for many free mass parameters,
effective threshold mass corrections have been introduced. Analytic results
that show the allowed regions of values of two additional gauge coupling
constants have been derived at 1-loop level. For a few points in
parameter-space that belong to one of these allowed regions 1-loop running of
gauge coupling constants has been compared with more precise running, which is
2-loop for gauge coupling constants and 1-loop for Yukawa coupling constants.
1-loop results have been compared with experimental constraints from
electroweak precision tests and from the most recent LHC data.


title: The Majid-Ruegg model and the Planck scales

abstract:
  A novel differential calculus with central inner product is introduced for
kappa-Minkowski space. The `bad' behaviour of this differential calculus is
discussed with reference to symplectic quantisation and A-infinity algebras.
Using this calculus in the Schrodinger equation gives two values which can be
compared with the Planck mass and length. This comparison gives an approximate
numerical value for the deformation parameter in kappa-Minkowski space. We
present numerical evidence that there is a potentially observable variation of
propagation speed in the Klein-Gordon equation. The modified equations of
electrodynamics (without a spinor field) are derived from noncommutative
covariant derivatives. We note that these equations suggest that the speed of
light is independent of frequency, in contrast to the KG results (with the
caveat that zero current is not the same as in vacuum). We end with some
philosophical comments on measurement related to quantum theory and gravity
(not necessarily quantum gravity) and noncommutative geometry.


title: The Structure of N-Player Games when Influence and Independence Collide

abstract:
  We study the mathematical properties of probabilistic processes in which the
independent actions of $n$ players (`causes') can influence the outcome of each
player (`effects'). In such a setting, each pair of outcomes will generally be
statistically correlated, even if the actions of all the players provide a
complete causal description of the players' outcomes, and even if we condition
on the outcome of any one player's action. This correlation always holds when
$n=2$, but when $n=3$ there exists a highly symmetric process, recently
studied, in which each cause can influence each effect, and yet each pair of
effects is probabilistically independent (even upon conditioning on any one
cause). We study such symmetric processes in more detail, obtaining a complete
classification for all $n \geq 3$. Using a variety of mathematical techniques,
we describe the geometry and topology of the underlying probability space that
allows independence and influence to coexist.


title:
Systems of variational inequalities for non-local operators related to
  optimal switching problems: Existence and uniqueness

abstract:
  In this paper we study a system of variational inequalities where the
operator is non-local, possibly degenerate and of second order. A special case
of this type of problem occurs in the context of optimal switching problems
when the dynamics of the underlying state variables is described by an
N-dimensional Levy process. We establish a general comparison principle for
viscosity sub- and supersolutions to the system under mild regularity, growth
and structural assumptions on the data. Using the comparison principle we then
prove the existence of a unique viscosity solution to the system by Perron's
method. Our main contribution is that we establish existence and uniqueness of
viscosity solutions, in the setting of Levy processes and non-local operators,
with no sign assumption on the switching costs and allowing them to depend on x
as well as t.


title:
Empirical Evaluation of the Parallel Distribution Sweeping Framework on
  Multicore Architectures

abstract:
  In this paper, we perform an empirical evaluation of the Parallel External
Memory (PEM) model in the context of geometric problems. In particular, we
implement the parallel distribution sweeping framework of Ajwani, Sitchinava
and Zeh to solve batched 1-dimensional stabbing max problem. While modern
processors consist of sophisticated memory systems (multiple levels of caches,
set associativity, TLB, prefetching), we empirically show that algorithms
designed in simple models, that focus on minimizing the I/O transfers between
shared memory and single level cache, can lead to efficient software on current
multicore architectures. Our implementation exhibits significantly fewer
accesses to slow DRAM and, therefore, outperforms traditional approaches based
on plane sweep and two-way divide and conquer.


title: Entropy-Product Rules for Charged Rotating Black Holes

abstract:
  We study the universal nature of the product of the entropies of all horizons
of charged rotating black holes. We argue, by examining further explicit
examples, that when the maximum number of rotations and/or charges are turned
on, the entropy product is expressed in terms of angular momentum and/or
charges only, which are quantized. (In the case of gauged supergravities, the
entropy product depends on the gauge-coupling constant also.) In two-derivative
gravities, the notion of the "maximum number" of charges can be defined as
being sufficiently many non-zero charges that the Reissner-Nordstrom black hole
arises under an appropriate specialisation of the charges. (The definition can
be relaxed somewhat in charged AdS black holes in $D\ge 6$.) In
higher-derivative gravity, we use the charged rotating black hole in
Weyl-Maxwell gravity as an example for which the entropy product is still
quantized, but it is expressed in terms of the angular momentum only, with no
dependence on the charge. This suggests that the notion of maximum charges in
higher-derivative gravities requires further understanding.


title:
Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein
  condensate

abstract:
  When a system crosses a second-order phase transition on a finite timescale,
spontaneous symmetry breaking can cause the development of domains with
independent order parameters, which then grow and approach each other creating
boundary defects. This is known as Kibble-Zurek mechanism. Originally
introduced in cosmology, it applies both to classical and quantum phase
transitions, in a wide variety of physical systems. Here we report on the
spontaneous creation of solitons in Bose-Einstein condensates via the
Kibble-Zurek mechanism. We measure the power-law dependence of defects number
with the quench time, and provide a check of the Kibble-Zurek scaling with the
sonic horizon. These results provide a promising test bed for the determination
of critical exponents in Bose-Einstein condensates.


title: On a diagonal quadric in dense variables

abstract:
  We examine the solubility of a diagonal, translation invariant, quadratic
equation system in arbitrary (dense) subsets A \subset Z and show quantitative
bounds on the size of A if there are no non-trivial solutions. We use the
circle method and Roth's density increment argument. Due to a restriction
theory approach we can deal with equations in s \geq 7 variables.


title: Separation of spin and charge in the continuum Schr\"odinger equation

abstract:
  I describe here the attempt to introduce spin-charge separation in
Schrodinger equation. The construction we present here gives a decomposed
Schrodinger spinor that has one problem: Its absolute value can only have value
between 0 and ${1}{2}$. The problem we solve is to expand and generalize this
construction so that one can have a Schrodinger spinor with absolute value that
are arbitrary non-negative numbers. It may be that one has to introduce a set
of different decompositions to cover all nonnegative values, that is to
introduce patches over $\mathbb{R}_{+}^{3}$ so that in each patch one has a
different representation. It seems that the decomposition has a direct relation
to so called entangled states that have been discussed very much in connection
of e.g. quantum computing, and we would like to find this relation and discuss
it in detail.