title: Bayesian Asteroseismology of 23 Solar-Like Kepler Targets

abstract:
  We study 23 previously published Kepler targets to perform a consistent
grid-based Bayesian asteroseismic analysis and compare our results to those
obtained via the Asteroseismic Modelling Portal (AMP). We find differences in
the derived stellar parameters of many targets and their uncertainties. While
some of these differences can be attributed to systematic effects between
stellar evolutionary models, we show that the different methodologies deliver
incompatible uncertainties for some parameters. Using non-adiabatic models and
our capability to measure surface effects, we also investigate the dependency
of these surface effects on the stellar parameters. Our results suggest a
dependence of the magnitude of the surface effect on the mixing length
parameter which also, but only minimally, affects the determination of stellar
parameters. While some stars in our sample show no surface effect at all, the
most significant surface effects are found for stars that are close to the
Sun's position in the HR diagram.


title: Coherent states and geometry on the Siegel-Jacobi disk

abstract:
  The coherent state representation of the Jacobi group $G^J_1$ is indexed with
two parameters, $\mu (=\frac{1}{\hbar})$, describing the part coming from the
Heisenberg group, and $k$, characterizing the positive discrete series
representation of $\text{SU}(1,1)$. The Ricci form, the scalar curvature and
the geodesics of the Siegel-Jacobi disk $\mathcal{D}^J_1$ are investigated. The
significance in the language of coherent states of the transform which realizes
the fundamental conjecture on the Siegel-Jacobi disk is emphasized. The Berezin
kernel, Calabi's diastasis, the Kobayashi embedding, and the Cauchy formula for
the Sigel-Jacobi disk are presented.


title:
How well can cold-dark-matter substructures account for the observed
  lensing flux-ratio anomalies?

abstract:
  Lensing flux-ratio anomalies are most likely caused by gravitational lensing
by small-scale dark matter structures. These anomalies offer the prospect of
testing a fundamental prediction of the cold dark matter (CDM) cosmological
model: the existence of numerous substructures that are too small to host
visible galaxies. In two previous studies we found that the number of subhalos
in the six high-resolution simulations of CDM galactic halos of the Aquarius
project is not sufficient to account for the observed frequency of flux ratio
anomalies seen in selected quasars from the CLASS survey. These studies were
limited by the small number of halos used, their narrow range of masses (1-2E12
solar masses) and the small range of lens ellipticities considered. We address
these shortcomings by investigating the lensing properties of a large sample of
halos with a wide range of masses in two sets of high resolution simulations of
cosmological volumes and comparing them to a currently best available sample of
radio quasars. We find that, as expected, substructures do not change the
flux-ratio probability distribution of image pairs and triples with large
separations, but they have a significant effect on the distribution at small
separations. For such systems, CDM substructures can account for a substantial
fraction of the observed flux-ratio anomalies. For large close-pair separation
systems, the discrepancies existing between the observed flux ratios and
predictions from smooth halo models are attributed to simplifications inherent
in these models which do not take account of fine details in the lens mass
distributions.


title: Energy Saving and Survival Routing Protocol for Mobile Ad Hoc Networks

abstract:
  In this paper we propose a method to enhance the life time as well as improve
the performance of the mobile ad hoc networks (MANET). Since MANET consists of
devices that run on batteries, having limited amount of energy and due to the
self-configuring and dynamic change of topology, all operations are performed
by the node itself.


title: On substitution algebras of permutations

abstract:
  The subject of this paper is a simulation to that in [1] but here we consider
substitutions corresponding to transpositions instead of replacements.


title: Neutron skin uncertainties of Skyrme energy density functionals

abstract:
  Background: Neutron-skin thickness is an excellent indicator of isovector
properties of atomic nuclei. As such, it correlates strongly with observables
in finite nuclei that depend on neutron-to-proton imbalance and the nuclear
symmetry energy that characterizes the equation of state of neutron-rich
matter. A rich worldwide experimental program involving studies with rare
isotopes, parity violating electron scattering, and astronomical observations
is devoted to pinning down the isovector sector of nuclear models. Purpose: We
assess the theoretical systematic and statistical uncertainties of neutron-skin
thickness and relate them to the equation of state of nuclear matter, and in
particular to nuclear symmetry energy parameters. Methods: We use the nuclear
superfluid Density Functional Theory with several Skyrme energy density
functionals and density dependent pairing. To evaluate statistical errors and
their budget, we employ the statistical covariance technique. Results: We find
that the errors on neutron skin increase with neutron excess. Statistical
errors due to uncertain coupling constants of the density functional are found
to be larger than systematic errors, the latter not exceeding 0.06 fm in most
neutron-rich nuclei across the nuclear landscape. The single major source of
uncertainty is the poorly determined slope L of the symmetry energy that
parametrizes its density dependence. Conclusions: To provide essential
constraints on the symmetry energy of the nuclear energy density functional,
next-generation measurements of neutron skins are required to deliver precision
better than 0.06 fm.


title: Effect of Transverse Gluons on Chiral Restoration in Excited Mesons

abstract:
  The effect of transverse gluons on the chiral symmetry patterns of excited
mesons is studied in a Coulomb gauge QCD model. The linear rising static
quark-antiquark potential and the transverse gluon propagator known from
lattice studies are input into the model. The non-perturbative quark
propagator, which enters the meson bound state equations, is derived from the
Dyson--Schwinger equations and a complete set of mesons for general spin
quantum number is presented. From analyzing the bound state equations for large
spins it is demonstrated, that chiral and axial symmetry are restored. In this
limit a complete degeneracy of all multiplets with given spin is observed. The
effect of the transverse gluon interaction is shown to vanish rapidly as the
spin quantum number is increased. For vanishing dynamical quark mass the
expected meson degeneracies are recovered.


title:
Anomalous Hall effect in two-phase semiconductor structures: the crucial
  role of ferromagnetic inclusions

abstract:
  The Hall effect in InMnAs layers with MnAs inclusions of 20-50 nm in size is
studied both theoretically and experimentally. We find that the anomalous Hall
effect can be explained by the Lorentz force caused by the magnetic field of
ferromagnetic inclusions and by an inhomogeneous distribution of the current
density in the layer. The hysteretic dependence of the average magnetization of
ferromagnetic inclusions on an external magnetic field results in a hysteretic
dependence of RH(Hext). Thus we show the possibility of a hysteretic RH(Hext)
dependence (i.e. observation of the anomalous Hall effect) in thin conductive
layers with ferromagnetic inclusions in the absence of carriers spin
polarization.


title:
About the EW contribution to the relation between pole and MS-masses of
  the top-quark in the Standard Model

abstract:
  Results of our recent re-analysis of the electroweak contribution to the
relation between pole and running masses of top-quark within the Standard Model
is reviewed. We argue, that if vacuum of SM is stable, then there exists an
optimal value of renormalization group scale (IR-point), at which the radiative
corrections to the matching condition between parameters of Higgs sector and
pole masses is minimal or equal to zero. Within the available accuracy, we find
the IR-point to lie in an interval between value of Z-boson mass and twice the
value of W-boson mass. The value of scale is relevant for extraction of Higgs
self-coupling from cross-section as well as for construction of effective
Lagrangian.


title: Graphical Calculus for the Double Affine Q-Dependent Braid Group

abstract:
  We define a double affine $Q$-dependent braid group. This group is
constructed by appending to the braid group a set of operators $Q_i$, before
extending it to an affine $Q$-dependent braid group. We show specifically that
the elliptic braid group and the double affine Hecke algebra (DAHA) can be
obtained as quotient groups. Complementing this we present a pictorial
representation of the double affine $Q$-dependent braid group based on ribbons
living in a toroid. We show that in this pictorial representation we can fully
describe any DAHA. Specifically, we graphically describe the parameter $q$ upon
which this algebra is dependent and show that in this particular representation
$q$ corresponds to a twist in the ribbon.


title: A Model of Human Cooperation in Social Dilemmas

abstract:
  Social dilemmas are situations in which collective interests are at odds with
private interests: pollution, depletion of natural resources, and intergroup
conflicts, are at their core social dilemmas.
  Because of their multidisciplinarity and their importance, social dilemmas
have been studied by economists, biologists, psychologists, sociologists, and
political scientists. These studies typically explain tendency to cooperation
by dividing people in proself and prosocial types, or appealing to forms of
external control or, in iterated social dilemmas, to long-term strategies.
  But recent experiments have shown that cooperation is possible even in
one-shot social dilemmas without forms of external control and the rate of
cooperation typically depends on the payoffs. This makes impossible a
predictive division between proself and prosocial people and proves that people
have attitude to cooperation by nature.
  The key innovation of this article is in fact to postulate that humans have
attitude to cooperation by nature and consequently they do not act a priori as
single agents, as assumed by standard economic models, but they forecast how a
social dilemma would evolve if they formed coalitions and then they act
according to their most optimistic forecast. Formalizing this idea we propose
the first predictive model of human cooperation able to organize a number of
different experimental findings that are not explained by the standard model.
We show also that the model makes satisfactorily accurate quantitative
predictions of population average behavior in one-shot social dilemmas.


title: The random graph intuition for the tournament game

abstract:
  In the tournament game two players, called Maker and Breaker, alternately
take turns in claiming an unclaimed edge of the complete graph on n vertices
and selecting one of the two possible orientations. Before the game starts,
Breaker fixes an arbitrary tournament T_k on k vertices. Maker wins if, at the
end of the game, her digraph contains a copy of T_k; otherwise Breaker wins. In
our main result, we show that Maker has a winning strategy for k =
(2-o(1))log_2 n, improving the constant factor in previous results of Beck and
the second author. This is asymptotically tight since it is known that for k =
(2-o(1))log_2 n Breaker can prevent that the underlying graph of Maker's graph
contains a k-clique. Moreover the precise value of our lower bound differs from
the upper bound only by an additive constant of 12.
  We also discuss the question whether the random graph intuition, which
suggests that the threshold for k is asymptotically the same for the game
played by two "clever" players and the game played by two "random" players, is
supported by the tournament game: It will turn out that, while a
straightforward application of this intuition fails, a more subtle version of
it is still valid.
  Finally, we consider the orientation-game version of the tournament game,
where Maker wins the game if the final digraph -- containing also the edges
directed by Breaker -- possesses a copy of T_k. We prove that in that game
Breaker has a winning strategy for k = (4+o(1))log_2 n.


title:
The State of Information and Communication Technology in Hungary, A
  Comparative Analysis

abstract:
  A novel comparative research and analysis method is proposed and applied on
the Hungarian economic sectors. The question of what factors have an effect on
their net income is essential for enterprises. First, the potential indicators
related to economic sectors were studied and then compared to the net income of
the surveyed enterprises. The data resulting from the comparison showed that
the growing penetration of electronic marketpalces contributed to the change of
the net income of enterprises in various economic sectors to the extent of 37%.
Among all the potential indicators, only the indicator of electronic
marketplaces has a direct influence on the net income of enterprises. Two
clusters based on the potential indicators were indicated.


title:
Single crystal growth and physical properties of a new uranium compound
  URhIn$_5$

abstract:
  We have grown the new uranium compound URhIn$_5$ with the tetragonal
HoCoGa$_5$-type by the In self flux method. In contrast to the nonmagnetic
ground state of the isoelectronic analogue URhGa$_5$, URhIn$_5$ is an
antiferromagnet with antiferromagnetic transition temperature $T_{\rm N}$ = 98
K. The moderately large electronic specific heat coefficient $\gamma$ = 50
mJ/K$^2$mol demonstrates the contribution of 5$f$ electrons to the conduction
band. On the other hand, magnetic susceptibility in the paramagnetic state
roughly follows a Curie-Weiss law with a paramagnetic effective moment
corresponding to a localized uranium ion. The crossover from localized to
itinerant character at low temperature may occur around the characteristic
temperature 150 K where the magnetic susceptibility and electrical resistivity
show a marked anomaly.


title: The Quadratic Coefficient of the Electron Cloud Mapping

abstract:
  The Electron Cloud is an undesirable physical phenomenon which might produce
single and multi-bunch instability, tune shift, increase of pressure ultimately
limiting the performance of particle accelerators. We report our results on the
analytical study of the electron dynamics.


title:
Hamiltonian Path Integrals In Momentum Space Representation via White
  Noise Techniques

abstract:
  The concepts of Feynman integrals in white noise analysis are used to
construct the Feynman integrand for the harmonic oscillator in momentum space
representation as a Hida distribution. Moreover it is shown that in a limit
sense, the potential free case fulfills the conservation of momentum.

categories: math-ph math.FA math.MP math.PR quant-ph


title:
A multi-epoch spectroscopic study of the BAL quasar APM 08279+5255: I. C
  IV absorption variability

abstract:
  Broad Absorption Lines indicate gas outflows with velocities from thousands
km/s to about 0.2 the speed of light, which may be present in all quasars and
may play a major role in the evolution of the host galaxy. The variability of
absorption patterns can provide informations on changes of the density and
velocity distributions of the absorbing gas and its ionization status. We
collected 23 photometrical and spectro-photometrical observations at the 1.82m
Telescope of the Asiago Observatory since 2003, plus other 5 spectra from the
literature. We analysed the evolution in time of the equivalent width of the
broad absorption feature and two narrow absorption systems, the correlation
among them and with the R band magnitude. We performed a structure function
analysis of the equivalent width variations. We present an unprecedented
monitoring of a broad absorption line quasar based on 28 epochs in 14 years.
The shape of broad absorption feature shows a relative stability, while its
equivalent width slowly declines until it sharply increases during 2011. In the
same time the R magnitude stays almost constant until it sharply increases
during 2011. The equivalent width of the narrow absorption redwards of the
systemic redshift only shows a decline. The broad absorption behaviour suggests
changes of the ionisation status as the main cause of variability. We show for
the first time a correlation of this variability with the R band flux. The
different behaviour of the narrow absorption system might be due to
recombination time delay. The structure function of the absorption variability
has a slope comparable with typical optical variability of quasars. This is
consistent with variations of the 200 A ionising flux originating in the inner
part of the accretion disk.


title: Potential functionals versus density functionals

abstract:
  Potential functional approximations are an intriguing alternative to density
functional approximations. The potential functional that is dual to the Lieb
density functional is defined and properties given. The relationship between
Thomas-Fermi theory as a density functional and as a potential functional is
derived. The properties of several recent semiclassical potential functionals
are explored, especially in their approach to the large particle number and
classical continuum limits. The lack of ambiguity in the energy density of
potential functional approximations is demonstrated. The density-density
response function of the semiclassical approximation is calculated and shown to
violate a key symmetry condition.


title: The algebra of the nerves of omega-categories

abstract:
  We show that the nerve of a strict omega-category can be described
algebraically as a simplicial set with additional operations subject to certain
identities. The resulting structures are called sets with complicial
identities. We also construct an equivalence between the categories of strict
omega-categories and of sets with complical identities.


title:
Direct Chargino-Neutralino Production at the LHC: Interpreting the
  Exclusion Limits in the Complex MSSM

abstract:
  We re-assess the exclusion limits on the parameters describing the
supersymmetric (SUSY) electroweak sector of the MSSM obtained from the search
for direct chargino-neutralino production at the LHC. We start from published
limits obtained in simplified models, where for the case of heavy sleptons the
relevant branching ratio, BR(neu2->neu1 Z), is set to one. We show how the
decay mode neu2->neu1 h, which cannot be neglected in any realistic model once
kinematically allowed, substantially reduces the excluded parameter region. We
analyze the dependence of the excluded regions on the phase of the gaugino soft
SUSY-breaking mass parameter, M_1, on the mass of the light scalar tau, on tb
as well as on the squark and slepton mass scales. Large reductions in the
ranges of parameters excluded can be observed in all scenarios. The branching
ratios of charginos and neutralinos are evaluated using a full NLO calculation
for the complex MSSM. The size of the effects of the NLO calculation on the
exclusion bounds is investigated. We furthermore assess the potential reach of
the experimental analyses after collecting 100/fb at the LHC running at 13 TeV.


title:
A variant of the Brillouin-Wigner perturbation theory with
  Epstein-Nesbet partitioning

abstract:
  We present an elementary pedagogical derivation of the Brillouin-Wigner and
the Rayleigh-Schr\"odinger perturbation theories with Epstein-Nesbet
partitioning. A variant of the Brillouin-Wigner perturbation theory is also
introduced, which can be easily extended to the quasi-degenerate case. A main
advantage of the new theory is that the computing time required for obtaining
the successive higher-order results is negligible after the third-order
calculation. We illustrate the accuracy of the new perturbation theory for some
simple model systems like the perturbed harmonic oscillator and the particle in
a box.


title:
A Minkowski-type inequality for convex surfaces in the hyperbolic
  3-space

abstract:
  In this note we derive a new Minkowski-type inequality for closed convex
surfaces in the hyperbolic 3-space. The inequality is obtained by explicitly
computing the area of the family of surfaces obtained from the normal flow and
then applying the isoperimetric inequality. Using the same method, we also we
give elementary proofs of the classical Minkowski inequalities for closed
convex surfaces in the Euclidean 3-space and in the 3-sphere.


title: Performances tests on the SPHERE-IFS

abstract:
  Until now, just a few extrasolar planets (~30 out of 860) have been found
through the direct imaging method. This number should greatly improve when the
next generation of High Contrast Instruments like Gemini Planet Imager (GPI) at
Gemini South Telescope or SPHERE at VLT will became operative at the end of
this year. In particular, the Integral Field Spectrograph (IFS), one of the
SPHERE subsystems, should allow a first characterization of the spectral type
of the found extrasolar planets. Here we present the results of the last
performance tests that we have done on the IFS instrument at the Institut de
Planetologie et d'Astrophysique de Grenoble (IPAG) in condition as similar as
possible to the ones that we will find at the telescope. We have found that we
should be able to reach contrast down to 5x10$^{-7}$ and make astrometry at
sub-mas level with the instrument in the actual conditions. A number of
critical issues have been identified. The resolution of these problems could
allow to further improve the performance of the instrument.


title:
Proton ejection from molecular hydride clusters exposed to strong X-ray
  pulses

abstract:
  Clusters consisting of small molecules containing hydrogen do eject fast
protons when illuminated by short X-ray pulses. A suitable overall charging of
the cluster controlled by the X-ray intensity induces electron migration from
the surface to the bulk leading to efficient segregation of the protons and to
a globally hindered explosion of the heavy atoms even outside the screened
volume. We investigate this peculiar effect systematically along the
iso-electronic sequence of methane over ammonia and water to the atomic limit
of neon as a reference. In contrast to core-shell systems where the outer shell
is sacrificed to reduce radiation damage, the intricate proton dynamics of
hydride clusters allows one to keep the entire backbone of heavy atoms intact.


title: Intersections of moving fractal sets

abstract:
  Intersection of a random fractal or self-affine set with a linear manifold or
another fractal set is studied, assuming that one of the sets is in a
translational motion with respect to the other. It is shown that the mass of
such an intersection is a self-affine function of the relative position of the
two sets. The corresponding Hurst exponent h is a function of the scaling
exponents of the intersecting sets. A generic expression for h is provided, and
its proof is offered for two cases --- intersection of a self-affine curve with
a line, and of two fractal sets. The analytical results are tested using
Monte-Carlo simulations.


title: A study of the metal-rich, thick disk globular cluster NGC5927

abstract:
  We present a list of 72 radial velocity member stars in the metal-rich
globular cluster NGC5927. The radial velocities are based on multi-epoch,
multi-fibre spectra. We identify 46 RGB/HB stars and 26 turn-off stars that are
radial velocity members in the cluster. This cluster is situated quite close to
the disk and hence fore- and/or background contamination, especially in the
outskirts of the cluster, can be quite severe. Fortunately, the cluster has a
radial velocity (we determine it to v_rad=--104.03 +/- 5.03 km/s) that sets it
clearly apart from the bulk velocities of the surrounding, background, and
foreground stellar populations. Hence, our identification of members is clean
and we can quantify a 50% contamination when stars in the outer part of the
cluster are selected solely based on position in the colour-magnitude diagram
as opposed to selections based on radial velocities.


title: Holographic Duality for three-dimensional Super-conformal Field Theories

abstract:
  This thesis is based on the publications arXiv:1106.4253, arXiv:1206.2920,
arXiv:1210.2590. We construct warped "AdS_4 x S^2 x S^2 x \Sigma" type IIB
supergravity solutions dual to the infrared fixed points of all 3d N=4 linear
and circular quivers. We provide checks of the correspondence by evaluating the
supergravity action in a large N limit and by matching it with the computation
of the free energy obtained from matrix models. To complete previous work, we
establish the holographic dictionary for the more general supergravity
solutions corresponding to domain walls (non-compact \Sigma) and dual to 4d SYM
CFT coupled to a 1/2 BPS 3d defect. We also use our evaluations of the free
energy to show that the F-theorem is verified for RG-flow relating
T^{\rho}_{\hat\rho}(SU(N)) SCFTs.


title: Barycentric Pad\'e approximation

abstract:
  In this paper, we show how any Pad\'e approximant $[p/q]_f$ of a formal power
series $f$ can be written under two different barycentric rational forms. These
form depend on $p+q+1$ parameters which can be almost arbitrarily chosen.


title: Derived Logarithmic Geometry I

abstract:
  In order to develop the foundations of logarithmic derived geometry, we
introduce a model category of logarithmic simplicial rings and a notion of
derived log \'etale maps and use this to define derived log stacks.


title:
First time to exit of a continuous It\^o process: general moment
  estimates and L1-convergence rate for discrete time approximations

abstract:
  We establish general moment estimates for the discrete and continuous exit
times of a general It\^o process in terms of the distance to the boundary.
These estimates serve as intermediate steps to obtain strong convergence
results for the approximation of a continuous exit time by a discrete
counterpart, computed on a grid. In particular, we prove that the discrete exit
time of the Euler scheme of a diffusion converges in the L1 norm with an order
1/2 with respect to the mesh size.


title: Averaging principle for diffusion processes via Dirichlet forms

abstract:
  We study diffusion processes driven by a Brownian motion with regular drift
in a finite dimension setting. The drift has two components on different time
scales, a fast conservative component and a slow dissipative component. Using
the theory of Dirichlet form and Mosco-convergence we obtain simpler proofs,
interpretations and new results of the averaging principle for such processes
when we speed up the conservative component. As a result, one obtains an
effective process with values in the space of connected level sets of the
conserved quantities. The use of Dirichlet forms provides a simple and nice way
to characterize this process and its properties.


title:
A remark on the optimal transport between two probability measures
  sharing the same copula

abstract:
  We are interested in the Wasserstein distance between two probability
measures on $\R^n$ sharing the same copula $C$. The image of the probability
measure $dC$ by the vectors of pseudo-inverses of marginal distributions is a
natural generalization of the coupling known to be optimal in dimension $n=1$.
It turns out that for cost functions $c(x,y)$ equal to the $p$-th power of the
$L^q$ norm of $x-y$ in $\R^n$, this coupling is optimal only when $p=q$ i.e.
when $c(x,y)$ may be decomposed as the sum of coordinate-wise costs.


title: Propri\'et\'es multiplicatives des entiers friables translat\'es

abstract:
  An integer is said to be $y$-friable if its greatest prime factor P(n) is
less than $y$. In this paper, we study numbers of the shape $n-1$ when
$P(n)\leq y$ and $n\leq x$. One expects that, statistically, their
multiplicative behaviour resembles that of all integers less than $x$.
Extending a result of Basquin, we estimate the mean value over shifted friable
numbers of certain arithmetic functions when $(\log x)^c \leq y$ for some
positive $c$, showing a change in behaviour according to whether $\log y /
\log\log x$ tends to infinity or not. In the same range in $(x, y)$, we prove
an Erd\"os-Kac-type theorem for shifted friable numbers, improving a result of
Fouvry and Tenenbaum. The results presented here are obtained using recent work
of Harper on the statistical distribution of friable numbers in arithmetic
progressions.


title: Explicit points on the Legendre curve II

abstract:
  Let $E$ be the elliptic curve $y^2=x(x+1)(x+t)$ over the field $\Fp(t)$ where
$p$ is an odd prime. We study the arithmetic of $E$ over extensions
$\Fq(t^{1/d})$ where $q$ is a power of $p$ and $d$ is an integer prime to $p$.
The rank of $E$ is given in terms of an elementary property of the subgroup of
$(\Z/d\Z)^\times$ generated by $p$. We show that for many values of $d$ the
rank is large. For example, if $d$ divides $2(p^f-1)$ and $2(p^f-1)/d$ is odd,
then the rank is at least $d/2$. When $d=2(p^f-1)$, we exhibit explicit points
generating a subgroup of $E(\Fq(t^{1/d}))$ of finite index in the "2-new" part,
and we bound the index as well as the order of the "2-new" part of the
Tate-Shafarevich group.


title:
Relativistic study of the nuclear anapole moment effects in diatomic
  molecules

abstract:
  Nuclear-spin-dependent (NSD) parity violating effects are studied for a
number of diatomic molecules using relativistic Hartree-Fock and density
functional theory and accounting for core polarization effects. Heavy diatomic
molecules are good candidates for the successful measurement of the nuclear
anapole moment, which is the dominant NSD parity violation term in heavy
elements. Improved results for the molecules studied in our previous
publication [Borschevsky et al., Phys. Rev. A 85, 052509 (2012)] are presented
along with the calculations for a number of new promising candidates for the
nuclear anapole measurements.


title:
Biological radiation dose from secondary particles in a Milky Way gamma
  ray burst

abstract:
  Gamma ray bursts (GBRs) are a class of highly energetic explosions emitting
radiation in a very short timescale of a few seconds and with a very narrow
opening angle. Although, all GRBs observed so far are extragalactic in origin,
there is a high probability of a GRB of galactic origin beaming towards the
Earth in the past ~ 0.5 Gyr. Such an intense burst of gamma rays would ionize
the atmosphere and deplete the ozone layer. With depleted ozone, there will be
an increased flux of solar UVB on the Earth's surface with harmful biological
effects. In addition to the atmospheric damage, secondary particles produced by
gamma ray-induced showers will reach the surface. Amongst all secondary
particles, muons dominate the ground-level secondary particle flux (99% of the
total number of particles) and are potentially of biological significance.
Using the Monte Carlo simulation code CORSIKA, we modeled the air showers
produced by gamma ray primaries up to 100 GeV. We found that the number of
muons produced by hypothetical galactic GRBs significantly increases the total
muon flux. However, since the muon production efficiency is extremely low for
photon energy below 100 GeV, and because GRBs radiate strongly for only a very
short time, we find that the biological radiation dose from secondary muons is
negligible. The main mechanism of biological damage from GRBs is through solar
UVB irradiation from the loss of ozone in the upper atmosphere.


title:
Study of Target Dependence of Clan Model Parameter in 84^Kr_36 -
  Emulsion Interactions at 1 GeV per nucleon

abstract:
  The article focuses on study of clan model parameters and their target
dependence in light of void probability scaling for heavy (Ag and Br) and light
(C, N and O) groups of targets present in nuclear emulsion detector using 84 Kr
36 at around 1 A GeV. The variation of scaled rapidity gap (rap gap)
probability with single moment combination has been studied. We found that
experimental points are lying approximately on the negative binomial
distribution (NBD) curve, indicating a scaling behavior. The average clan
multiplicities for interactions, increases with the pseudo-rapidity interval
was also observed. The values of average multiplicity for AgBr targets are
larger than those for CNO target and also average number of particles per clan
increases with increase in pseudo-rapidity interval. We further observed that
for a particular target, average number of particles per clan increases with an
increase in the size of projectile nucleus.


title:
Weak noise and non-hyperbolic unstable fixed points: Sharp estimates on
  transit and exit times

abstract:
  We consider certain one dimensional ordinary stochastic differential
equations driven by additive Brownian motion of variance $\varepsilon ^2$. When
$\varepsilon =0$ such equations have an unstable non-hyperbolic fixed point and
the drift near such a point has a power law behavior. For $\varepsilon >0$
small, the fixed point property disappears, but it is replaced by a random
escape or transit time which diverges as $\varepsilon \searrow0$. We show that
this random time, under suitable (easily guessed) rescaling, converges to a
limit random variable that essentially depends only on the power exponent
associated to the fixed point. Such random variables, or laws, have therefore a
universal character and they arise of course in a variety of contexts. We then
obtain quantitative sharp estimates, notably tail properties, on these
universal laws.


title:
Pulsating B-type stars in the open cluster NGC 884: frequencies, mode
  identification and asteroseismology

abstract:
  Recent progress in the seismic interpretation of field beta Cep stars has
resulted in improvements of the physics in the stellar structure and evolution
models of massive stars. Further asteroseismic constraints can be obtained from
studying ensembles of stars in a young open cluster, which all have similar
age, distance and chemical composition. We present an observational
asteroseismology study based on the discovery of numerous multi-periodic and
mono-periodic B-stars in the open cluster NGC 884. We describe a thorough
investigation of the pulsational properties of all B-type stars in the cluster.
Overall, our detailed frequency analysis resulted in 115 detected frequencies
in 65 stars. We found 36 mono-periodic, 16 bi-periodic, 10 tri-periodic, and 2
quadru-periodic stars and one star with 9 independent frequencies. We also
derived the amplitudes and phases of all detected frequencies in the U, B, V
and I filter, if available. We achieved unambiguous identifications of the mode
degree for twelve of the detected frequencies in nine of the pulsators.
Imposing the identified degrees and measured frequencies of the radial, dipole
and quadrupole modes of five pulsators led to a seismic cluster age estimate of
log(age/yr) =7.12-7.28 from a comparison with stellar models. Our study is a
proof-of-concept for and illustrates the current status of ensemble
asteroseismology of a young open cluster.


title:
A QPTAS for Maximum Weight Independent Set of Polygons with
  Polylogarithmically Many Vertices

abstract:
  The Maximum Weight Independent Set of Polygons problem is a fundamental
problem in computational geometry. Given a set of weighted polygons in the
2-dimensional plane, the goal is to find a set of pairwise non-overlapping
polygons with maximum total weight. Due to its wide range of applications, the
MWISP problem and its special cases have been extensively studied both in the
approximation algorithms and the computational geometry community. Despite a
lot of research, its general case is not well-understood. Currently the best
known polynomial time algorithm achieves an approximation ratio of n^(epsilon)
[Fox and Pach, SODA 2011], and it is not even clear whether the problem is
APX-hard. We present a (1+epsilon)-approximation algorithm, assuming that each
polygon in the input has at most a polylogarithmic number of vertices. Our
algorithm has quasi-polynomial running time.
  We use a recently introduced framework for approximating maximum weight
independent set in geometric intersection graphs. The framework has been used
to construct a QPTAS in the much simpler case of axis-parallel rectangles. We
extend it in two ways, to adapt it to our much more general setting. First, we
show that its technical core can be reduced to the case when all input polygons
are triangles. Secondly, we replace its key technical ingredient which is a
method to partition the plane using only few edges such that the objects
stemming from the optimal solution are evenly distributed among the resulting
faces and each object is intersected only a few times. Our new procedure for
this task is not more complex than the original one, and it can handle the
arising difficulties due to the arbitrary angles of the polygons. Note that
already this obstacle makes the known analysis for the above framework fail.
Also, in general it is not well understood how to handle this difficulty by
efficient approximation algorithms.


title: Complexity and Approximation of the Continuous Network Design Problem

abstract:
  We revisit a classical problem in transportation, known as the continuous
(bilevel) network design problem, CNDP for short. We are given a graph for
which the latency of each edge depends on the ratio of the edge flow and the
capacity installed. The goal is to find an optimal investment in edge
capacities so as to minimize the sum of the routing cost of the induced Wardrop
equilibrium and the investment cost. While this problem is considered as
challenging in the literature, its complexity status was still unknown. We
close this gap showing that CNDP is strongly NP-complete and APX-hard, both on
directed and undirected networks and even for instances with affine latencies.
  As for the approximation of the problem, we first provide a detailed analysis
for a heuristic studied by Marcotte for the special case of monomial latency
functions (Mathematical Programming, Vol.~34, 1986). Specifically, we derive a
closed form expression of its approximation guarantee for arbitrary sets S of
allowed latency functions. Second, we propose a different approximation
algorithm and show that it has the same approximation guarantee. As our final
-- and arguably most interesting -- result regarding approximation, we show
that using the better of the two approximation algorithms results in a strictly
improved approximation guarantee for which we give a closed form expression.
For affine latencies, e.g., this algorithm achieves a 1.195-approximation which
improves on the 5/4 that has been shown before by Marcotte. We finally discuss
the case of hard budget constraints on the capacity investment.


title: Ameba-inspired Self-organizing Particle Systems

abstract:
  Particle systems are physical systems of simple computational particles that
can bond to neighboring particles and use these bonds to move from one spot to
another (non-occupied) spot. These particle systems are supposed to be able to
self-organize in order to adapt to a desired shape without any central control.
Self-organizing particle systems have many interesting applications like
coating objects for monitoring and repair purposes and the formation of
nano-scale devices for surgery and molecular-scale electronic structures. While
there has been quite a lot of systems work in this area, especially in the
context of modular self-reconfigurable robotic systems, only very little
theoretical work has been done in this area so far. We attempt to bridge this
gap by proposing a model inspired by the behavior of ameba that allows rigorous
algorithmic research on self-organizing particle systems.


title:
Blow-up of solutions to the one-dimensional semilinear wave equation
  with damping depending on time and space variables

abstract:
  In this paper, we give a small data blow-up result for the one-dimensional
semilinear wave equation with damping depending on time and space variables. We
show that if the damping term can be regarded as perturbation, that is,
non-effective damping in a certain sense, then the solution blows up in finite
time for any power of nonlinearity. This gives an affirmative answer for the
conjecture that the critical exponent agrees with that of the wave equation
when the damping is non-effective in one space dimension.


title: Selmer groups and class groups

abstract:
  Let $A$ be an abelian variety over a global field $K$ of characteristic $p
\ge 0$. If $A$ has nontrivial (resp. full) $K$-rational $l$-torsion for a prime
$l \neq p$, we exploit the fppf cohomological interpretation of the $l$-Selmer
group $\mathrm{Sel}_l A$ to bound $\#\mathrm{Sel}_l A$ from below (resp. above)
in terms of the cardinality of the $l$-torsion subgroup of the ideal class
group of $K$. Applied over families of finite extensions of $K$, the bounds
relate the growth of Selmer groups and class groups. For function fields, this
technique proves the unboundedness of $l$-ranks of class groups of quadratic
extensions of every $K$ containing a fixed finite field $\mathbb{F}_{p^n}$
(depending on $l$). For number fields, it suggests a new approach to the
Iwasawa $\mu = 0$ conjecture through inequalities, valid when $A(K)[l] \neq 0$,
between Iwasawa invariants governing the growth of Selmer groups and class
groups in a $\mathbb{Z}_l$-extension.


title: Phantom dark energy as an effect of bulk viscosity

abstract:
  In a homogeneous and isotropic universe bulk viscosity is the unique viscous
effect capable to modify the background dynamics. Effects like shear viscosity
or heat conduction can only change the evolution of the perturbations. The
existence of a bulk viscous pressure in a fluid, which in order to obey to the
second law of thermodynamics is negative, reduces its effective pressure. We
discuss in this study the degeneracy in bulk viscous cosmologies and address
the possibility that phantom dark energy cosmology could be caused by the
existence of non-equilibrium pressure in any cosmic component. We establish the
conditions under which either matter or radiation viscous cosmologies can be
mapped into the phantom dark energy scenario with constraints from multiple
observational data-sets


title: Universal Bose Gases Near Resonance: A Rigorous Solution

abstract:
  We obtain a rigorous solution of universal Bose gases near resonance and
offer an answer to one of the long-standing challenges of quantum gases at
large scattering lengths, where the standard dilute theory breaks down. The
solution was obtained by using an $\epsilon$ expansion near four spatial
dimension. In dimension $d = 4 - \epsilon$, the chemical potential of Bose
gases near resonances is shown to approach the universal value
$\epsilon^{(2/(4-\epsilon))} \epsilon_F \sqrt{2/3} (1 + 0.474 \epsilon - i
1.217 \epsilon + ...)$, where $\epsilon_F$ is the Fermi energy defined for a
Fermi gas of density $n$, and the condensation fraction is equal to $2/3 (1 +
0.0877 \epsilon + ...)$. We also discuss the implications on ultra-cold gases
in physical dimensions.


title: A Data-driven Study of Influences in Twitter Communities

abstract:
  This paper presents a quantitative study of Twitter, one of the most popular
micro-blogging services, from the perspective of user influence. We crawl
several datasets from the most active communities on Twitter and obtain 20.5
million user profiles, along with 420.2 million directed relations and 105
million tweets among the users. User influence scores are obtained from
influence measurement services, Klout and PeerIndex. Our analysis reveals
interesting findings, including non-power-law influence distribution, strong
reciprocity among users in a community, the existence of homophily and
hierarchical relationships in social influences. Most importantly, we observe
that whether a user retweets a message is strongly influenced by the first of
his followees who posted that message. To capture such an effect, we propose
the first influencer (FI) information diffusion model and show through
extensive evaluation that compared to the widely adopted independent cascade
model, the FI model is more stable and more accurate in predicting influence
spreads in Twitter communities.


title:
Improved entropic uncertainty relations and information exclusion
  relations

abstract:
  The uncertainty principle can be expressed in entropic terms, also taking
into account the role of entanglement in reducing uncertainty. The information
exclusion principle bounds instead the correlations that can exist between the
outcomes of incompatible measurements on one physical system, and a second
reference system. We provide a more stringent formulation of both the
uncertainty principle and the information exclusion principle, with direct
applications for, e.g., the security analysis of quantum key distribution,
entanglement estimation, and quantum communication. We also highlight a
fundamental distinction between the complementarity of observables in terms of
uncertainty and in terms of information.


title:
Evidence for periodicities in the extinction record? Response to Melott
  & Bambach [arXiv:1307.1884]

abstract:
  In a recent paper, we applied time series analysis methods to study the
possible influence of the solar motion through the Galaxy on terrestrial
extinction (Feng & Bailer-Jones 2013). We drew conclusions about the relative
probabilities of how well different models explain the geological extinction
record. We found no strong evidence for either a periodicity in the extinction
record or for a link between the solar orbit and this extinction record. In
response to this, Melott & Bambach (2013) dedicate the majority of their
article to criticizing our analysis. Their main objection is to evidence-based
model comparison. Here we deal with their criticisms one by one, and show that
they are largely misplaced, leaving our conclusions unaffected. The bottom line
is that although one can get a periodic model at some period to fit the
extinction data, there are other models which explain the data better.

categories: astro-ph.EP astro-ph.GA physics.bio-ph physics.geo-ph q-bio.PE


title:
On the existence and multiplicity of solutions for a fourth order
  discrete BVP

abstract:
  We investigate the existence and multiplicity of solutions for fourth order
discrete boundary value problems via critical point theory.


title:
Optically induced mode conversion in graded-index fibers using
  ultra-short laser pulses

abstract:
  We propose the use of graded-index few-mode fibers for mode-conversion by
long-period gratings (LPG) transiently written by ultrashort laser pulses using
the optical Kerr effect. The mode inter- action is studied by numerically
solving the multi-mode coupled nonlinear Schroedinger equations. We present
highly efficient conversion of the LP 01 - into the LP 11 -mode preserving the
pulse shape in contrast to previous results in step-index fibers. Furthermore,
mode conversion using different wavelengths for inducing and probing the LPG is
shown. Due to the flat phase-matching curve of the examined modes in the
graded-index fiber, mode-conversion can be observed for probe center
wavelengths of 1100nm up to 1800nm with a write beam centered around 1030nm.
Therefore, a complete separation of the probe from the write beam should be
possible as well as the application of optically induced guided mode conversion
for all optical modulation across a broad wavelength range.


title:
A simple phenomenologic model for particle transport in space-periodic
  potentials in underdamped systems

abstract:
  We consider the motion of an underdamped Brownian particle in a tilted
periodic potential in a wide temperature range. Based on the previous data [1]
and the new simulation results we show that the underdamped motion of particles
in space-periodic potentials can be considered as the overdamped motion in the
velocity space in the effective double-well potential. Simple analytic
expressions for the particle mobility and diffusion coefficient have been
derived with the use of the presented model. The results of analytical
computations match well with numerical simulation data.


title: Ultimate resolution of indefinite metamaterial flat lenses

abstract:
  We show that any metallo-dielectric multilayer with a hyperbolic dispersion
relation can actually be characterized by a complex effective index. This
refractive index, extracted from the complex Bloch band diagram, can be
directly linked to the super-resolution of a flat lens made of this so- called
indefinite metamaterials. This allows for a systematic optimization of the lens
design, leading to structures that are outperforming state-of-art flat lenses.
We show that, even when fully taking absorption into account, our design
provides super-resolved images for visible light up to a distance of one
wavelength from the lens edge.


title:
Phase diagram with enhanced spin-glass region of mixed Ising / XY
  magnets LiHo$_{x}$Er$_{1-x}$F$_{4}$

abstract:
  We present the experimental phase diagram of LiHo$_x$Er$_{1-x}$F$_4$, a
dilution series of dipolar-coupled model magnets.The phase diagram was
determined using a combination of AC susceptibility and neutron scattering.
Three unique phases in addition to the Ising ferromagnet LiHoF$_4$ and the XY
anti-ferromagnet LiErF$_4$ have been identified. Below $x=0.86$ an embedded
spin-glass phase is observed, where a spin-glass exists within the
ferromagnetic structure. Below $x=0.57$ an Ising spin-glass is observed
consisting of frozen needle-like clusters. For $x \sim 0.3 - 0.1$ an
antiferromagnetically coupled spin-glass occurs. A reduction of $T_C(x)$ for
the ferromagnet is observed which disobeys the mean-field predictions that
worked for LiHo$_x$Y$_{1-x}$F$_4$.


title: The Nullity Theorem for Principal Pivot Transform

abstract:
  We generalize the nullity theorem of Gustafson [Linear Algebra Appl. (1984)]
from matrix inversion to principal pivot transform. Several special cases of
the obtained result are known in the literature, such as a result concerning
local complementation on graphs. As an application, we show that a particular
matrix polynomial, the so-called nullity polynomial, is invariant under
principal pivot transform.


title: The Pieri rule for dual immaculate quasi-symmetric functions

abstract:
  The immaculate basis of the non-commutative symmetric functions was recently
introduced by the first and third author to lift certain structures in the
symmetric functions to the dual Hopf algebras of the non-commutative and
quasi-symmetric functions. It was shown that immaculate basis satisfies a
positive, multiplicity free right Pieri rule. It was conjectured that the left
Pieri rule may contain signs but that it would be multiplicity free. Similarly,
it was also conjectured that the dual quasi-symmetric basis would also satisfy
a signed multiplicity free Pieri rule. We prove these two conjectures here.


title: The Fitness Level Method with Tail Bounds

abstract:
  The fitness-level method, also called the method of f-based partitions, is an
intuitive and widely used technique for the running time analysis of randomized
search heuristics. It was originally defined to prove upper and lower bounds on
the expected running time. Recently, upper tail bounds were added to the
technique; however, these tail bounds only apply to running times that are at
least twice as large as the expectation.
  We remove this restriction and supplement the fitness-level method with sharp
tail bounds, including lower tails. As an exemplary application, we prove that
the running time of randomized local search on OneMax is sharply concentrated
around n ln n - 0.1159 n.


title: Open-structure composite mirrors for the Cherenkov Telescope Array

abstract:
  The Cherenkov Telescope Array (CTA) Observatory for high-energy gamma-ray
astronomy will comprise several tens of imaging atmospheric Cherenkov
telescopes (IACTs) of different size with a total reflective area of about
10,000 m$^2$. Here we present a new technology for the production of IACT
mirrors that has been developed in the Institute of Nuclear Physics PAS in
Krakow, Poland. An open-structure composite mirror consists of a rigid flat
sandwich support structure and cast-in-mould spherical epoxy resin layer. To
this layer a thin glass sheet complete with optical coating is cold-slumped to
provide the spherical reflective layer of the mirror. The main components of
the sandwich support structure are two flat float glass panels inter spaced
with V-shape aluminum spacers of equal length. The sandwich support structure
is open, thus enabling good cooling and ventilation of the mirror. A special
arrangement of the aluminum spacers also prohibits water being trapped inside.
The open-structure technology thus represents a novel cost-efficient approach
that does not require the perfect sealing needed in closed-type mirrors. In
addition, the technology enables the application of a dielectric coating.
Full-size prototype mirrors designed for the medium-size CTA telescope will be
presented together with the results of recent optical tests.


title:
DuctApe: a suite for the analysis and correlation of genomic and
  OmnilogTM Phenotype Microarray data

abstract:
  Addressing the functionality of genomes is one of the most important and
challenging tasks of today's biology. In particular the ability to link
genotypes to corresponding phenotypes is of interest in the reconstruction and
biotechnological manipulation of metabolic pathways. Over the last years, the
OmniLogTM Phenotype Microarray (PM) technology has been used to address many
specific issues related to the metabolic functionality of microorganisms.
However, computational tools that could directly link PM data with the gene(s)
of interest followed by the extraction of information on genephenotype
correlation are still missing. Here we present DuctApe, a suite that allows the
analysis of both genomic sequences and PM data, to find metabolic differences
among PM experiments and to correlate them with KEGG pathways and gene
presence/absence patterns. As example, an application of the program to four
bacterial datasets is presented. The source code and tutorials are available at
http://combogenomics.github.io/DuctApe/.


title:
Characterization of derivations through their actions on certain
  elementary functions

abstract:
  The main aim of this note is to provide characterization theorems concerning
real derivations. Among others the following implication will be verified:
Assume that $\xi\colon \mathbb{R}\to \mathbb{R}$ is a given differentiable
function and for the additive function $d\colon \mathbb{R}\to \mathbb{R}$, the
mapping \[ x\longmapsto d(\xi(x))-\xi'(x)d(x) \] is regular (e. g. measurable,
continuous, locally bounded). Then $d$ is a sum of a derivation and a linear
function.


title: Response of a Complex Fluid at Intermediate Distances

abstract:
  The viscoelastic response of complex fluids is length- and time-scale
dependent, encoding information on intrinsic dynamic correlations and
mesoscopic structure. We derive the subdominant response of such fluids at
intermediate distances and show that it governs their dynamics over
surprisingly large length scales. Generalizing the framework of microrheology
to include this response, we experimentally confirm the theory, thereby
measuring the dynamic correlation length of F-actin networks, as well as their
bulk and local viscoelastic properties.


title:
Cryptanalyzing a RGB image encryption algorithm based on DNA encoding
  and chaos map

abstract:
  Recently, a RGB image encryption algorithm based on DNA encoding and chaos
map has been proposed. It was reported that the encryption algorithm can be
broken with four pairs of chosen plain-images and the corresponding
cipher-images. This paper re-evaluates the security of the encryption
algorithm, and finds that the encryption algorithm can be broken efficiently
with only one known plain-image. The effectiveness of the proposed
known-plaintext attack is supported by both rigorous theoretical analysis and
experimental results. In addition, two other security defects are also
reported.


title: Stochastic multi-channel lock-in detection

abstract:
  High-precision measurements benefit from lock-in detection of small signals.
Here we discuss the extension of lock-in detection to many channels, using
mutually orthogonal modulation waveforms, and show how the the choice of
waveforms affects the information content of the signal. We also consider how
well the detection scheme rejects noise, both random and correlated. We address
the particular difficulty of rejecting a background drift that makes a
reproducible offset in the output signal and we show how a systematic error can
be avoided by changing the waveforms between runs and averaging over many runs.
These advances made possible a recent measurement of the electron's electric
dipole moment.


title:
Determinantal representations of the Drazin inverse for Hermitian matrix
  over the quaternion skew field with applications

abstract:
  Within the framework of the theory of the column and row determinants, we
obtain determinantal representations of the Drazin inverse for Hermitian matrix
over the quaternion skew field. Using the obtained determinantal
representations of the Drazin inverse we get explicit representation formulas
(analogs of Cramer's rule) for the Drazin inverse solutions of quaternion
matrix equations $ {\bf A}{\bf X} = {\bf D}$, $ {\bf X}{\bf B} = {\bf D} $ and
${\bf A} {\bf X} {\bf B} = {\bf D} $, where $ {\bf A}$, ${\bf B}$ are
Hermitian.


title: Single Polariton Optomechanics

abstract:
  This paper investigates a novel hybrid cavity QED-optomechanics situation. We
solve the Hamiltonian problem of a cavity coupled both to a two-level atom via
a Jaynes-Cummings coupling and to a mechanical motion via radiation pressure
coupling. The atom-cavity polariton number operator commutes with the total
Hamiltonian leading to an exact analytical solution involving tripartite
atom-cavity-mechanics polarons. Under optical pumping of polaronic transitions
the system displays unusual atom-assisted cooling and amplification of
mechanical motion. We demonstrate the possibility to obtain enhanced
optomechanical cooling at the single polariton level, strong bunching of
phonons, and describe the peculiar quantum noise statistics of mechanical
motion in the single polariton amplification limit.


title: Signal transport in and conductance of correlated nanostructures

abstract:
  Here we report on our project concerning the application of time dependent
DMRG to strongly correlated systems. We show that a previously reported
simulation of the spin charge separation in a one-dimensional Hubbard system
exceeds a relative error of 100% in the spin sector. In the second part we
discuss the application of the Kubo formula to obtain linear conductance for
the interacting resonant level model.


title:
A tool to estimate the Fermi Large Area Telescope background for
  short-duration observations

abstract:
  The proper estimation of the background is a crucial component of data
analyses in astrophysics, such as source detection, temporal studies,
spectroscopy, and localization. For the case of the Large Area Telescope (LAT)
on board the Fermi spacecraft, approaches to estimate the background for short
(less than ~one thousand seconds duration) observations fail if they ignore the
strong dependence of the LAT background on the continuously changing
observational conditions. We present a (to be) publicly available
background-estimation tool created and used by the LAT Collaboration in several
analyses of Gamma Ray Bursts. This tool can accurately estimate the expected
LAT background for any observational conditions, including, for example,
observations with rapid variations of the Fermi spacecraft's orientation
occurring during automatic repointings.


title:
Measurement of the relative rate of prompt $\chi_{c0}$, $\chi_{c1}$ and
  $\chi_{c2}$ production at $\sqrt{s}=7$TeV

abstract:
  Prompt production of charmonium $\chi_{c0}$, $\chi_{c1}$ and $\chi_{c2}$
mesons is studied using proton-proton collisions at the LHC at a centre-of-mass
energy of $\sqrt{s}=7$TeV. The $\chi_{c}$ mesons are identified through their
decay to $J/\psi\gamma$, with $J/\psi\to\mu^+\mu^-$ using photons that
converted in the detector. A data sample, corresponding to an integrated
luminosity of $1.0\mathrm{fb}^{-1}$ collected by the LHCb detector, is used to
measure the relative prompt production rate of $\chi_{c1}$ and $\chi_{c2}$ in
the rapidity range $2.0<y<4.5$ as a function of the $J/\psi$ transverse
momentum from 3 to 20 GeV$/c$. First evidence for $\chi_{c0}$ meson production
at a high-energy hadron collider is also presented.


title: Three-dimensional modeling of radiative disks in binaries

abstract:
  Circumstellar disks in binaries are perturbed by the companion gravity
causing significant alterations of the disk morphology. Spiral waves due to the
companion tidal force also develop in the vertical direction and affect the
disk temperature profile. These effects may significantly influence the process
of planet formation. We perform 3D numerical simulations of disks in binaries
with different initial dynamical configurations and physical parameters. Our
goal is to investigate their evolution and their propensity to grow planets. We
use an improved version of the SPH code VINE modified to better account for
momentum and energy conservation. The energy equation includes a flux--limited
radiative transfer algorithm and the disk cooling is obtained via "boundary
particles". We model a system made of star/disk + star/disk where the secondary
star (and relative disk) is less massive than the primary. The numerical
simulations performed for different values of binary separation and disk
density show that the disk morphology is substantially affected by the
companion perturbations. Trailing spiral shock waves develop when the stars
approach their pericenter. Strong hydraulic jumps occur at the shock front
creating breaking waves and a consistent mass stream between the two disks,
significantly heating them. The high gas temperature may prevent the ice
condensation by moving outward the "snow line". The hydraulic jumps may slow
down or even halt the dust coagulation process. At apocenter these
perturbations are reduced and the disks are cooled down and less eccentric. The
strength of the hydraulic jumps, disk heating, and mass exchange depends on the
binary separation, and for larger semi-major axes, the tidal spiral pattern is
substantially reduced.


title:
Spectroscopic Observations of Planetary Nebulae in the Northern Spur of
  M31

abstract:
  We present spectroscopy of three planetary nebulae (PNe) in the Northern Spur
of the Andromeda Galaxy (M31) obtained with the Double Spectrograph on the 5.1
m Hale Telescope at the Palomar Observatory. The samples are selected from the
observations of Merrett et al. Our purpose is to investigate formation of the
substructures of M31 using PNe as a tracer of chemical abundances. The [O III]
4363 auroral line is detected in the spectra of two objects, enabling
temperature determinations. Ionic abundances are derived from the observed
collisionally excited lines, and elemental abundances of nitrogen, oxygen, and
neon as well as sulphur and argon are estimated. Correlations between oxygen
and the alpha-element abundance ratios are studied, using our sample and the
M31 disk and bulge PNe from the literature. In one of the three PNe, we
observed relatively higher oxygen abundance compared to the disk sample in M31
at similar galactocentric distances. The results of at least one of the three
Northern Spur PNe might be in line with the proposed possible origin of the
Northern Spur substructure of M31, i.e. the Northern Spur is connected to the
Southern Stream and both substructures comprise the tidal debris of the
satellite galaxies of M31.


title: Strong global dimension of commutative rings and schemes

abstract:
  The strong global dimension of a ring is the supremum of the length of
perfect complexes that are indecomposable in the derived category. In this note
we characterize the noetherian commutative rings that have finite strong global
dimension. We also give a similar characterization for arbitrary noetherian
schemes.


title:
Polynomial time approximation schemes for the traveling repairman and
  other minimum latency problems

abstract:
  We give a polynomial time, $(1+\epsilon)$-approximation algorithm for the
traveling repairman problem (TRP) in the Euclidean plane and on weighted trees.
This improves on the known quasi-polynomial time approximation schemes for
these problems. The algorithm is based on a simple technique that reduces the
TRP to what we call the \emph{segmented TSP}. Here, we are given numbers
$l_1,\dots,l_K$ and $n_1,\dots,n_K$ and we need to find a path that visits at
least $n_h$ points within path distance $l_h$ from the starting point for all
$h\in\{1,\dots,K\}$. A solution is $\alpha$-approximate if at least $n_h$
points are visited within distance $\alpha l_h$. It is shown that any algorithm
that is $\alpha$-approximate for \emph{every constant} $K$ in some metric
space, gives an $\alpha(1+\epsilon)$-approximation for the TRP in the same
metric space. Subsequently, approximation schemes are given for this segmented
TSP problem in the plane and on weighted trees. The segmented TSP with only one
segment ($K=1$) is equivalent to the $k$-TSP for which a
$(2+\epsilon)$-approximation is known for a general metric space. Hence, this
approach through the segmented TSP gives new impulse for improving on the
3.59-approximation for TRP in a general metric space. A similar reduction
applies to many other minimum latency problems. To illustrate the strength of
this approach we apply it to the well-studied scheduling problem of minimizing
total weighted completion time under precedence constraints, $1|prec|\sum
w_{j}C_{j}$, and present a polynomial time approximation scheme for the case of
interval order precedence constraints. This improves on the known
$3/2$-approximation for this problem. Both approximation schemes apply as well
if release dates are added to the problem.


title:
Berkeley 94 and Berkeley 96: Two Young Clusters with Different Dynamical
  Evolution

abstract:
  We have performed multiband UBVRcIcJHKs photometry of two young clusters
located at large Galactocentric distances in the direction of the Perseus
spiral arm. The obtained distances and colour excesses amount to 3.9+-0.11 kpc,
E(B-V)=0.62+-0.05 for Berkeley 94, and 4.3+-0.15 kpc, E(B-V)=0.58+-0.06 for
Berkeley 96. The respective ages, as measured from the comparison of the upper
colour-magnitude diagrams to model isochrones, amount to LogAge(yr)=7.5+-0.07,
and 7.0+-0.07, respectively. A sequence of optical PMS members is proposed in
both clusters. In addition, samples of objects showing (H-Ks) excess are found.
Part of these are suggested to be PMS cluster members of lower mass than the
optical candidates. The spatial distribution of these sources, the comparison
to galactic models and to the expected number of contaminating distant red
galaxies, and the spectral energy distribution in particular cases support this
suggestion. According to the results from numerical simulations, the spatial
distributions of members in different mass ranges are interpreted as suggesting
different initial conditions and evolutionary dynamical paths for the clusters.
Berkeley 94 would have formed under supervirial conditions, and followed the
so-called warm collapse model in its evolution, whereas Berkeley 96 would have
formed with a subvirial structure, and would have evolved following a cold
collapse path. Both processes would be able to reproduce the suggested degree
of mass segregation and their spatial distribution by mass range. Finally, the
mass distributions of the clusters, from the most massive stars down to PMS
stars around 1.3 Msun, are calculated. An acceptable general agreement with the
Salpeter IMF slope is found.


title: Synteny in Bacterial Genomes: Inference, Organization and Evolution

abstract:
  Genes are not located randomly along genomes. Synteny, the conservation of
their relative positions in genomes of different species, reflects fundamental
constraints on natural evolution. We present approaches to infer pairs of
co-localized genes from multiple genomes, describe their organization, and
study their evolutionary history. In bacterial genomes, we thus identify
synteny units, or "syntons", which are clusters of proximal genes that
encompass and extend operons. The size distribution of these syntons divide
them into large syntons, which correspond to fundamental macro-molecular
complexes of bacteria, and smaller ones, which display a remarkable exponential
distribution of sizes. This distribution is "universal" in two respects: it
holds for vastly different genomes, and for functionally distinct genes.
Similar statistical laws have been reported previously in studies of bacterial
genomes, and generally attributed to purifying selection or neutral processes.
Here, we perform a new analysis based on the concept of parsimony, and find
that the prevailing evolutionary mechanism behind the formation of small
syntons is a selective process of gene aggregation. Altogether, our results
imply a common evolutionary process that selectively shapes the organization
and diversity of bacterial genomes.


title: Influence of media on collective debates

abstract:
  The information system (T.V., newspapers, blogs, social network platforms)
and its inner dynamics play a fundamental role on the evolution of collective
debates and thus on the public opinion. In this work we address such a process
focusing on how the current inner strategies of the information system
(competition, customer satisfaction) once combined with the gossip may affect
the opinions dynamics. A reinforcement effect is particularly evident in the
social network platforms where several and incompatible cultures coexist (e.g,
pro or against the existence of chemical trails and reptilians, the new world
order conspiracy and so forth). We introduce a computational model of opinion
dynamics which accounts for the coexistence of media and gossip as separated
but interdependent mechanisms influencing the opinions evolution. Individuals
may change their opinions under the contemporary pressure of the information
supplied by the media and the opinions of their social contacts. We stress the
effect of the media communication patterns by considering both the simple case
where each medium mimics the behavior of the most successful one (in order to
maximize the audience) and the case where there is polarization and thus
competition among media reported information (in order to preserve and satisfy
their segmented audience). Finally, we first model the information cycle as in
the case of traditional main stream media (i.e, when every medium knows about
the format of all the others) and then, to account for the effect of the
Internet, on more complex connectivity patterns (as in the case of the web
based information). We show that multiple and polarized information sources
lead to stable configurations where several and distant opinions coexist.

categories: physics.soc-ph cs.CY cs.SI physics.comp-ph


title: A new geometrical approach to metric-affine gravity

abstract:
  Here we consider a metric-affine theory of gravity in which the gravitational
Lagrangian is the scalar curvature. The matter action is allowed to depend also
on the torsion and the nonmetricity, which are considered as the field
variables together with the metric. We find the field equations of the theory
and show that they reduce to Einstein equations in vacuum


title: Are Micro and Macro Arrows of Time Connected Each Other?

abstract:
  The connection between the micro and macro-arrow of time is discussed in the
frame of the stochastic quantum hydrodynamic analogy (SQHA). The presence of
fluctuations that in the case on non-linear interactions leads to the breaking
of the quantum mechanics on large scale and then to the macroscopic
irreversibility with a defined arrow of time, gives also rise to the time
reversal breaking in the micro-scale quantum evolution (micro-arrow of time).
The quantum irreversibility with time reversal asymmetry is briefly discussed.


title: Effective quantum number for describing nanosystems

abstract:
  An enormous variety of quantum nanoobjects and nanosystems calls for the
development of new approaches to their description and parametrization.
Corresponding methods should be simple, universal enough and ensuring the
retention of essential part of information at small number of parameters.
  A universal effective quantum number was introduced earlier and successfully
used for describing centrally symmetric systems. But in most cases nanosystems
own a lower symmetry. In the present article we generalize and adapt this
method for such systems.


title:
Prior Biological Knowledge And Epigenetic Information Enhances
  Prediction Accuracy Of Bayesian Wnt Pathway

abstract:
  Computational modeling of Wnt signaling pathway has gained prominence for its
use as computer aided diagnostic tool to develop therapeutic cancer target
drugs and predict of test samples as cancerous and non cancerous. This
manuscript focuses on development of simple static bayesian network models of
varying complexity that encompasses prior partially available biological
knowledge about intra and extra cellular factors affecting the Wnt pathway and
incorporates epigenetic information like methylation and histone modification
of a few genes known to have inhibitory affect on Wnt pathway. It might be
expected that such models not only increase cancer prediction accuracies and
also form basis for understanding Wnt signaling activity in different states of
tumorigenesis. Initial results in human colorectal cancer cases indicate that
incorporation of epigenetic information increases prediction accuracy of test
samples as being tumorous or normal. Receiver Operator Curves (ROC) and their
respective area under the curve (AUC) measurements, obtained from predictions
of state of test sample and corresponding predictions of the state of
activation of transcription complex of the Wnt pathway for the test sample,
indicate that there is significant difference between the Wnt pathway being on
(off) and its association with the sample being tumorous (normal). Two sample
Kolmogorov-Smirnov test confirm the statistical deviation between the
distributions of these predictions. At a preliminary stage, use of these models
may help in understanding the yet unknown effect of certain factors like DKK2,
DKK3-1 and SFRP-2/3/5 on {\beta}-catenin transcription complex.


title: The Formation of the Local Group Planes of Galaxies

abstract:
  The confinement of most satellite galaxies in the Local Group to thin planes
presents a challenge to the theory of hierarchical galaxy clustering. The
PAndAS collaboration has identified a particularly thin configuration with
kinematic coherence among companions of M31 and there have been long standing
claims that the dwarf companions to the Milky Way lie in a plane roughly
orthogonal to the disk of our galaxy. This discussion investigates the possible
origins of four Local Group planes: the plane similar, but not identical to
that identified by PAndAS, an adjacent slightly tilted plane, and two planes
near the Milky Way: one with nearer galaxies and the other with more distant
ones. Plausible orbits are found by using a combination of Numerical Action
methods and a backward in time integration procedure. For M31, M33, IC10, and
LeoI, solutions are found that are consistent with measurements of their proper
motions. For galaxies in planes, there must be commonalities in their proper
motions, and this constraint greatly limits the number of physically plausible
solutions. Key to the formation of the planar structures has been the
evacuation of the Local Void and consequent build-up of the Local Sheet, a wall
of this void. Most of the M31 companion galaxies were born in early-forming
filamentary or sheet-like substrata that chased M31 out of the void. M31 is a
moving target because of its attraction toward the Milky Way, and the result
has been alignments stretched toward our galaxy. In the case of the
configuration around the Milky Way, it appears that our galaxy was in a
three-way competition for companions with M31 and Centaurus A. Only those
within a modest band fell our way. The Milky Ways' attraction toward the Virgo
Cluster resulted in alignments along the Milky Way-Virgo Cluster line.


title: Strongly representable atom structures and neat embeddings

abstract:
  In this paper we give an alternative construction using Monk like algebras
that are binary generated to show that the class of strongly representable atom
structures is not elementary. The atom structures of such algebras are
cylindric basis of relation algebras, both algebras are based on one graph such
that both the relation and cylindric algebras are representable if and only if
the chromatic number of the graph is infinite. We also relate the syntactic
notion of algebras having a (complete) neat embedding property to the
semantical notion of having various forms of (complete) relativized
representations. Finally, we show that for n>5, the problemn as to whether a
finite algebra is in the class SNr_3CA_6 is undecidable. In contrast, we show
that for a finite algebra of arbitary finite dimensions that embed into extra
dimensions of a another finite algebra, then this algebra have a finite
relativized representation. Finally we devise what we call neat games, for such
a game if \pe\ has a \ws \ on an atomic algebra \A in certain atomic game and
\pa has a \ws in another atomic game, then such algebras are elementary
equivalent to neat reducts, but do not have relativized (local) complete
represenations. From such results, we infer that the omitting types theorem for
finite variable fragments fails even if we consider clique guarded semantics.
The size of cliques are determined by the number of pebbles used by \pa\.


title: Part of Speech Tagging of Marathi Text Using Trigram Method

abstract:
  In this paper we present a Marathi part of speech tagger. It is a
morphologically rich language. It is spoken by the native people of
Maharashtra. The general approach used for development of tagger is statistical
using trigram Method. The main concept of trigram is to explore the most likely
POS for a token based on given information of previous two tags by calculating
probabilities to determine which is the best sequence of a tag. In this paper
we show the development of the tagger. Moreover we have also shown the
evaluation done.


title: Rule Based Transliteration Scheme for English to Punjabi

abstract:
  Machine Transliteration has come out to be an emerging and a very important
research area in the field of machine translation. Transliteration basically
aims to preserve the phonological structure of words. Proper transliteration of
name entities plays a very significant role in improving the quality of machine
translation. In this paper we are doing machine transliteration for
English-Punjabi language pair using rule based approach. We have constructed
some rules for syllabification. Syllabification is the process to extract or
separate the syllable from the words. In this we are calculating the
probabilities for name entities (Proper names and location). For those words
which do not come under the category of name entities, separate probabilities
are being calculated by using relative frequency through a statistical machine
translation toolkit known as MOSES. Using these probabilities we are
transliterating our input text from English to Punjabi.


title: 3D Technologies for Large Area Trackers

abstract:
  We describe technologies which can be developed to produce large area, low
cost pixelated tracking detec- tors. These utilize wafer-scale 3D electronics
and sensor technologies currently being developed in industry. This can result
in fully active sensor/readout chip tiles which can be assembled into large
area arrays with good yield and minimal dead area. The ability to connect
though the bulk of the device can also provide better electrical performance
and lower mass.


title:
Lipschitz gradients for global optimization in a one-point-based
  partitioning scheme

abstract:
  A global optimization problem is studied where the objective function $f(x)$
is a multidimensional black-box function and its gradient $f'(x)$ satisfies the
Lipschitz condition over a hyperinterval with an unknown Lipschitz constant
$K$. Different methods for solving this problem by using an a priori given
estimate of $K$, its adaptive estimates, and adaptive estimates of local
Lipschitz constants are known in the literature. Recently, the authors have
proposed a one-dimensional algorithm working with multiple estimates of the
Lipschitz constant for $f'(x)$ (the existence of such an algorithm was a
challenge for 15 years). In this paper, a new multidimensional geometric method
evolving the ideas of this one-dimensional scheme and using an efficient
one-point-based partitioning strategy is proposed. Numerical experiments
executed on 800 multidimensional test functions demonstrate quite a promising
performance in comparison with popular DIRECT-based methods.


title: Towards a Theory of the Glass Crossover

abstract:
  The standard field-theoretical procedure to study the effect of long
wavelength fluctuations on a genuine second-order phase transition is applied
to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$
regime. Technically this is achieved by a dynamical field-theoretical
decoration of MCT that can be studied by a loop expansion. An explicit
computation shows that at all orders the leading contributions are the same of
a dynamical stochastic glassy equation, {\it i.e} an extension of the standard
MCT equation for the critical correlator with local random fluctuations of the
separation parameter. It is suggested that the equation is an essential
ingredient in the process that turns the singularity at $T_c$ into a dynamical
crossover to activated dynamics.


title: A new family of algebras whose representation schemes are smooth

abstract:
  We give a necessary and sufficient smoothness condition for the scheme
parameterizing the n-dimensional representations of a finitely generated
associative algebra over an algebraically closed field of characteristic zero.
In particular, our result implies that the points M of the above scheme,
satisfying $Ext_A ^2(M,M)=0$, are regular. This generalizes well-known results
on finite-dimensional algebras to finitely generated algebras.


title: On Demazure and local Weyl modules for affine hyperalgebras

abstract:
  We establish the existence of Demazure flags for graded local Weyl modules
for hyper current algebras in positive characteristic. If the underlying simple
Lie algebra is simply laced, the flag has length one, i.e., the graded local
Weyl modules are isomorphic to Demazure modules. This extends to the positive
characteristic setting results of Fourier-Littelmann and Naoi for current
algebras in characteristic zero. Using this result, we prove that the character
of local Weyl modules for hyper loop algebras depend only on the highest
weight, but not on the (algebraically closed) ground field, and deduce a tensor
product factorization for them.


title: Band Structure and Effective Masses of ZnMgO

abstract:
  We analyze the influence of the Mg concentration on several important
properties of the band structure of ZnMgO alloys in wurtzite structure using ab
initio calculations. For this purpose, the band structure for finite
concentrations is defined in terms of the Bloch spectral density, which can be
calculated within the coherent potential approximation. We investigate the
concentration dependence of the band gap and the crystal-field splitting of the
valence bands. The effective electron and hole masses are determined by
extending the effective mass model to finite concentrations. We compare our
results with experimental results and other calculations.


title: Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type

abstract:
  Using $q$-series identities and series rearrangement, we establish several
extensions of $q$-Watson formulas with two extra integer parameters. Then they
and Sears' transformation formula are utilized to derive some generalizations
of $q$-Dixon formulas and $q$-Whipple formulas with two extra integer
parameters. As special cases of these results, many interesting evaluations of
series of $q$-Watson,$q$-Dixon, and $q$-Whipple type are displayed.


title:
An Alternative Proof of the Exponential Monotone Complexity of the
  Clique Function

abstract:
  In 1985, Razborov discovered a proof that the monotone circuit complexity of
the clique problem is super-polynomial. Alon and Boppana improved the result
into exponential lower bound exp(\Omega(n / \log n)^{1/3})) of a monotone
circuit C to compute cliques of size (1/4) (n / log n)^{2/3}, where n is the
number of vertices in a graph. Both proofs are based on the method of
approximations and Erdos and Rado's sunflower lemma. There has been an interest
in further generalization of the proof scheme.
  In this paper, we present a new approach to show the exponential monotone
complexity. Unlike the standard method, it dynamically constructs a counter
example: Assuming a monotone circuit C of sub-exponential size to compute
k-cliques c, an algorithm finds an edge set t containing no c in the
disjunctive normal form constructed at the root of C. We call such t a shift.
The proof shows that t is disjoint from an edge set z whose removal leaves no
k-cliques.
  We explore the set theoretical nature of computation by Boolean circuits. We
develop a theory by finding topological properties of the Hamming space 2^{[n]}
where [n]={1, 2, ..., n}. A structural theorem is presented, which is closely
related to the sunflower lemma and claims a stronger statement in most cases.
The theory lays the foundation of the above shift method. It also shows the
existence of a sunflower with small core in a family of sets, which is not an
obvious consequence of the sunflower lemma.
  Lastly, we point out that the new methodology has potential to apply to a
general circuit computing cliques due to the dynamic selection of t and z, and
to improve the Alon-Boppana bound exp(\Omega(n / \log n)^{1/3})).


title:
Relativistic description of final-state interactions in neutral-current
  neutrino and antineutrino cross sections

abstract:
  We evaluate semi-inclusive neutral-current quasielastic differential neutrino
and antineutrino cross sections within the framework of the relativistic
impulse approximation. The results of the relativistic mean field and of the
relativistic Green's function models are compared. The sensitivity to the
strange-quark content of the nucleon form factor is also discussed. The results
of the models are compared with the MiniBooNE experimental data for neutrino
scattering. Numerical predictions for flux-averaged antineutrino scattering
cross sections are also presented.


title: Stellar content of the young supershell GSH 305+01-24

abstract:
  We combine several surveys at different wavelengths with intermediate-band $
uvby\beta$ photometry to examine the correlation between the location of the
OB-stars in the Centaurus star-forming field and the neutral and ionized
material in GSH 305+01$-$24 supershell seen in the same direction. Based on
homogeneous distances of nearly 700 early-type stars, we are able to select
spatially coherent stellar groupings and to revise the classical concept of the
Cen OB1 association. We argue that this star-forming field is closer to the Sun
than estimated before, at a distance of $1.8\pm0.4$ kpc, instead of the
classical 2.5 kpc. The region shows striking similarities between the stellar
distribution and H$\alpha$ and H I emission morphologies, suggesting that the
observed shell passes a stage through which the number of ionizing photons
emerging from the central association is not sufficient to ionize the entire
shell. Stellar masses and ages, calculated via the latest evolutionary models
are used to evaluate whether these stars can be the energy source for the
supershell.


title:
Landweber iteration of Kaczmarz type with general non-smooth convex
  penalty functionals

abstract:
  The determination of solutions of many inverse problems usually requires a
set of measurements which leads to solving systems of ill-posed equations. In
this paper we propose the Landweber iteration of Kaczmarz type with general
uniformly convex penalty functional. The method is formulated by using tools
from convex analysis. The penalty term is allowed to be non-smooth to include
the $L^1$ and total variation (TV) like penalty functionals, which are
significant in reconstructing special features of solutions such as sparsity
and piecewise constancy in practical applications. Under reasonable conditions,
we establish the convergence of the method. Finally we present numerical
simulations on tomography problems and parameter identification in partial
differential equations to indicate the performance.


title: Vortex molecules in Bose-Einstein condensates

abstract:
  Stable vortex dimers are known to exist in coherently coupled two component
Bose-Einstein condensates (BECs). We construct stable vortex trimers in three
component BECs and find that the shape can be controlled by changing the
internal coherent (Rabi) couplings. Stable vortex N-omers are also constructed
in coherently coupled N-component BECs. We classify all possible N-omers in
terms of the mathematical graph theory. Next, we study effects of the Rabi
coupling in vortex lattices in two-component BECs. We find how the vortex
lattices without the Rabi coupling known before are connected to the Abrikosov
lattice of integer vortices with increasing the Rabi coupling. In this process,
vortex dimers change their partners in various ways at large couplings. We then
find that the Abrikosov lattices are robust in three-component BECs.


title: Coalescing Brownian flows: A new approach

abstract:
  The coalescing Brownian flow on $\mathbb{R}$ is a process which was
introduced by Arratia [Coalescing Brownian motions on the line (1979) Univ.
Wisconsin, Madison] and T\'{o}th and Werner [Probab. Theory Related Fields 111
(1998) 375-452], and which formally corresponds to starting coalescing Brownian
motions from every space-time point. We provide a new state space and topology
for this process and obtain an invariance principle for coalescing random
walks. This result holds under a finite variance assumption and is thus
optimal. In previous works by Fontes et al. [Ann. Probab. 32 (2004) 2857-2883],
Newman et al. [Electron. J. Probab. 10 (2005) 21-60], the topology and
state-space required a moment of order $3-\varepsilon$ for this convergence to
hold. The proof relies crucially on recent work of Schramm and Smirnov on
scaling limits of critical percolation in the plane. Our approach is
sufficiently simple that we can handle substantially more complicated
coalescing flows with little extra work - in particular similar results are
obtained in the case of coalescing Brownian motions on the Sierpinski gasket.
This is the first such result where the limiting paths do not enjoy the
noncrossing property.


title:
Dynamical generation of interwoven soliton trains by nonlinear emission
  in binary Bose-Einstein condensates

abstract:
  We propose a method for the generation of trains of alternating bright
solitons in two-component Bose-Einstein condensates, using controlled emission
of nonlinear matter-waves in the uncoupled regime with spatially-varying
intra-species interaction and out-of-phase oscillations of the ground states in
the trap. Under this scheme, solitons are sequentially launched from the
different components, and interact with each other through phase-independent
cross-coupling. We obtain an analytical estimation of the critical condition
for soliton emission using a geometric guiding model, in analogy with
integrated optical systems. In addition, we show how strong initial
perturbations in the system can trigger the spontaneous generation of
supersolitons, i.e. localized phonon-like excitations of the soliton trains.
Finally, we demonstrate the controllable generation of slow and fast
supersolitons by adding external localized potentials in the nonlinear region.

categories: nlin.PS cond-mat.quant-gas physics.atom-ph physics.optics


title: TE Wave Measurement and Modeling

abstract:
  In the TE wave method, microwaves are coupled into the beam-pipe and the
effect of the electron cloud on these microwaves is measured. An electron cloud
(EC) density can then be calculated from this measurement. There are two
analysis methods currently in use. The first treats the microwaves as being
transmitted from one point to another in the accelerator. The second more
recent method, treats the beam-pipe as a resonant cavity. This paper will
summarize the reasons for adopting the resonant TE wave analysis as well as
give examples from CESRTA and DA{\Phi}NE of resonant beam-pipe. The results of
bead-pull bench measurements will show some possible standing wave patterns,
including a cutoff mode (evanescent) where the field decreases exponentially
with distance from the drive point. We will outline other recent developments
in the TE wave method including VORPAL simulations of microwave resonances, as
well as the simulation of transmission in the presence of both an electron
cloud and magnetic fields.


title:
The chi-y genera of relative Hilbert schemes for linear systems on
  Abelian and K3 surfaces

abstract:
  For an ample line bundle on an Abelian or K3 surface, minimal with respect to
the polarization, the relative Hilbert scheme of points on the complete linear
system is known to be smooth. We give an explicit expression in quasi-Jacobi
forms for the chi-y genus of the restriction of the Hilbert scheme to a general
linear subsystem. This generalizes a result of Yoshioka and Kawai for the
complete linear system on the K3 surface, a result of Maulik, Pandharipande,
and Thomas on the Euler characteristics of linear subsystems on the K3 surface,
and a conjecture of the authors.


title:
Zeno Dynamics and High-Temperature Master Equations Beyond Secular
  Approximation

abstract:
  Complete positivity of a class of maps generated by master equations derived
beyond the secular approximation is discussed. The connection between such
class of evolutions and physical properties of the system is analyzed in depth.
It is also shown that under suitable hypotheses a Zeno dynamics can be induced
because of the high temperature of the bath.


title: Critical slowing-down as indicator of approach to the loss of stability

abstract:
  We consider stochastic electro-mechanical dynamics of an overdamped power
system in the vicinity of the saddle-node bifurcation associated with the loss
of global stability such as voltage collapse or phase angle instability.
Fluctuations of the system state vector are driven by random variations of
loads and intermittent renewable generation. In the vicinity of collapse the
power system experiences so-called phenomenon of critical slowing-down
characterized by slowing and simultaneous amplification of the system state
vector fluctuations. In generic case of a co-dimension 1 bifurcation
corresponding to the threshold of instability it is possible to extract a
single mode of the system state vector responsible for this phenomenon. We
characterize stochastic fluctuations of the system state vector using the
formal perturbative expansion over the lowest (real) eigenvalue of the system
power flow Jacobian and verify the resulting expressions for correlation
functions of the state vector by direct numerical simulations. We conclude that
the onset of critical slowing-down is a good marker of approach to the
threshold of global instability. It can be straightforwardly detected from the
analysis of single-node autostructure and autocorrelation functions of system
state variables and thus does not require full observability of the grid.


title:
ZnS/Diamond Composite Coatings for Infrared Transmission Applications
  Formed by the Aerosol Deposition Method

abstract:
  The deposition of nano-crystalline ZnS/diamond composite protective coatings
on silicon, sapphire, and ZnS substrates, as a preliminary step to coating
infrared transparent ZnS substrates from powder mixtures by the aerosol
deposition method is presented. Advantages of the aerosol deposition method
include the ability to form dense, nanocrystalline films up to hundreds of
microns thick at room temperature and at a high deposition rate on a variety of
substrates. Deposition is achieved by creating a pressure gradient that
accelerates micrometer-scale particles in an aerosol to high velocity.
  Upon impact with the target substrate the particles fracture and embed.
Continued deposition forms the thick compacted film. Deposition from an
aerosolized mixture of ZnS and diamond powders onto all targets results in
linear trend from apparent sputter erosion of the substrate at 100% diamond to
formation of a film with increasing fractions of ZnS. The crossover from
abrasion to film formation on sapphire occurs above about 50% ZnS and a mixture
of 90% ZnS and 10% diamond forms a well-adhered film of about 0.7 \mu m
thickness at a rate of 0.14 \mu m/min. Resulting films are characterized by
scanning electron microscopy, profilometry, infrared transmission spectroscopy,
and x-ray photoemission spectroscopy. These initial films mark progress toward
the future goal of coating ZnS substrates for abrasion resistance.


title:
A Family of Hybrid Random Number Generators with Adjustable Quality and
  Speed

abstract:
  Conventional random number generators provide the speed but not necessarily
the high quality output streams needed for large-scale stochastic simulations.
Cryptographically-based generators, on the other hand, provide superior quality
output but are often deemed too slow to be practical for use in large
simulations. We combine these two approaches to construct a family of hybrid
generators that permit users to choose the desired tradeoff between quality and
speed for a given application. We demonstrate the effectiveness, performance,
and practicality of this approach using a standard battery of tests, which show
that high quality streams of random numbers can be obtained at a cost
comparable to that of fast conventional generators.