title: Honest Bayesian confidence sets for the L2-norm

abstract:
  We investigate the problem of constructing Bayesian credible sets that are
honest and adaptive for the L2-loss over a scale of Sobolev classes with
regularity ranging between [D; 2D], for some given D in the context of the
signal-in-white-noise model. We consider a scale of prior distributions indexed
by a regularity hyper-parameter and choose the hyper-parameter both by marginal
likelihood empirical Bayes and by hierarchical Bayes method, respectively. Next
we consider a ball centered around the corresponding posterior mean with
prescribed posterior probability. We show by theory and examples that both the
empirical Bayes and the hierarchical Bayes credible sets give misleading,
overconfident uncertainty quantification for certain oddly behaving truth. Then
we construct a new empirical Bayes method based on risk estimation, which
provides the correct uncertainty quantification and optimal size.


title:
The Structure Theorem for The Cut Locus of a Certain Class of Cylinders
  of Revolution I

abstract:
  The aim of this paper is to determine the structure of the cut locus for a
class of surfaces of revolution homeomorphic to a cylinder. Let $M$ denote a
cylinder of revolution which admits a reflective symmetry fixing a parallel
called the equator of $M.$ It will be proved that the cut locus of a point $p$
of $M$ is a subset of the union of the meridian and the parallel opposite to
$p$ respectively, if the Gaussian curvature of $M$ is decreasing on each upper
half meridian.


title: Flops and the S-duality conjecture

abstract:
  We prove the transformation formula of Donaldson-Thomas (DT) invariants
counting two dimensional torsion sheaves on Calabi-Yau 3-folds under flops. The
error term is described by the Dedekind eta function and the Jacobi theta
function, and our result gives evidence of a 3-fold version of Vafa-Witten's
S-duality conjecture. As an application, we prove a blow-up formula of DT type
invariants on the total spaces of canonical line bundles on smooth projective
surfaces. It gives an analogue of the similar blow-up formula in the original
S-duality conjecture by Yoshioka, Li-Qin and G\"ottsche.


title:
A conservative discontinuous Galerkin scheme for the 2D incompressible
  Navier--Stokes equations

abstract:
  In this paper we consider a conservative discretization of the
two-dimensional incompressible Navier--Stokes equations. We propose an
extension of Arakawa's classical finite difference scheme for fluid flow in the
vorticity-stream function formulation to a high order discontinuous Galerkin
approximation. In addition, we show numerical simulations that demonstrate the
accuracy of the scheme and verify the conservation properties, which are
essential for long time integration. Furthermore, we discuss the massively
parallel implementation on graphic processing units.

categories: physics.comp-ph cs.NA math.NA physics.flu-dyn physics.plasm-ph


title: Estimating daily nitrogen dioxide level: Exploring traffic effects

abstract:
  Data used to assess acute health effects from air pollution typically have
good temporal but poor spatial resolution or the opposite. A modified
longitudinal model was developed that sought to improve resolution in both
domains by bringing together data from three sources to estimate daily levels
of nitrogen dioxide ($\mathrm {NO}_2$) at a geographic location. Monthly
$\mathrm {NO}_2$ measurements at 316 sites were made available by the Study of
Traffic, Air quality and Respiratory health (STAR). Four US Environmental
Protection Agency monitoring stations have hourly measurements of $\mathrm
{NO}_2$. Finally, the Connecticut Department of Transportation provides data on
traffic density on major roadways, a primary contributor to $\mathrm {NO}_2$
pollution. Inclusion of a traffic variable improved performance of the model,
and it provides a method for estimating exposure at points that do not have
direct measurements of the outcome. This approach can be used to estimate daily
variation in levels of $\mathrm {NO}_2$ over a region.


title: The blow-up rate for strongly perturbed semilinear wave equations

abstract:
  We consider in this paper a large class of perturbed semilinear wave equation
with subconformal power nonlinearity. In particular, we allow log perturbations
of the main source. We derive a Lyapunov functional in similarity variables and
use it to derive the blow-up rate. Throughout this work, we use some techniques
developed for the unperturbed case studied by Merle and Zaag [12] together with
ideas introduced by Hamza and Zaag in [5] for a class of weather perturbations.


title:
Robust regularized singular value decomposition with application to
  mortality data

abstract:
  We develop a robust regularized singular value decomposition (RobRSVD) method
for analyzing two-way functional data. The research is motivated by the
application of modeling human mortality as a smooth two-way function of age
group and year. The RobRSVD is formulated as a penalized loss minimization
problem where a robust loss function is used to measure the reconstruction
error of a low-rank matrix approximation of the data, and an appropriately
defined two-way roughness penalty function is used to ensure smoothness along
each of the two functional domains. By viewing the minimization problem as two
conditional regularized robust regressions, we develop a fast iterative
reweighted least squares algorithm to implement the method. Our implementation
naturally incorporates missing values. Furthermore, our formulation allows
rigorous derivation of leave-one-row/column-out cross-validation and
generalized cross-validation criteria, which enable computationally efficient
data-driven penalty parameter selection. The advantages of the new robust
method over nonrobust ones are shown via extensive simulation studies and the
mortality rate application.


title: Transverse spinning of a sphere in a plasmonic field

abstract:
  We evaluate optical forces and torques induced by a surface plasmon to a
sphere of arbitrary size, i.e. beyond the point-like dipolar limit. Through a
multipolar decomposition of the plasmonic field, we demonstrate that the
induced torque is purely transverse to the plasmon propagation direction. Our
approach removes the inherent ambiguities of the dipolar regime with respect to
rotations and emphasizes the crucial role played by dissipation in the onset of
the plasmonic torque. We also give realistic estimates of such plasmon-induced
spinning of gold spheres immersed in water or air.


title:
Local adaptation and genetic effects on fitness: Calculations for
  exponential family models with random effects

abstract:
  Random effects are implemented for aster models using two approximations
taken from Breslow and Clayton [J. Amer. Statist. Assoc. 88 (1993) 9-25].
Random effects are analytically integrated out of the Laplace approximation to
the complete data log likelihood, giving a closed-form expression for an
approximate missing data log likelihood. Third and higher derivatives of the
complete data log likelihood with respect to the random effects are ignored,
giving a closed-form expression for second derivatives of the approximate
missing data log likelihood, hence approximate observed Fisher information.
This method is applicable to any exponential family random effects model. It is
implemented in the CRAN package aster (R Core Team [R: A Language and
Environment for Statistical Computing (2012) R Foundation for Statistical
Computing], Geyer [R package aster (2012)
http://cran.r-project.org/package=aster]). Applications are analyses of local
adaptation in the invasive California wild radish (Raphanus sativus) and the
slender wild oat (Avena barbata) and of additive genetic variance for fitness
in the partridge pea (Chamaecrista fasciculata).


title: Maximum Intersecting Families of Permutations

abstract:
  It was first shown by Cameron and Ku that the group $G=Sym(n)$ has the strict
EKR property. Then Godsil and Meagher presented an entirely different proof of
this fact using some algebraic properties of the symmetric group. A similar
method was employed to prove that the projective general linear group
$PGL(2,q)$, with its natural action on the projective line $\mathbb{P}_q$, has
the strict EKR property. The main objective in this thesis is to formally
introduce this method, which we call the module method, and show that this
provides a standard way to prove Erdos-Ko-Rado theorems for other permutation
groups. We then, along with proving Erdos-Ko-Rado theorems for various groups,
use this method to prove some permutation groups have the strict EKR property.
We will also show that this method can be useful in characterizing the maximum
independent sets of some Cayley graphs. To explain the module method, we need
some facts from representation theory of groups, in particular, the symmetric
group. We will provide the reader with a sufficient level of background from
representation theory as well as graph theory and linear algebraic facts about
graphs.


title: J-holomorphic curves with boundary in bounded geometry

abstract:
  The fundamental properties of $J$-holomorphic maps depend on two
inequalities: The gradient inequality gives a pointwise bound on the
differential of a $J$-holomorphic map in terms of its energy. The cylinder
inequality stipulates and quantifies the exponential decay of energy along
cylinders of small total energy. We show these inequalities hold uniformly if
the geometry of the target symplectic manifold and Lagrangian boundary
condition is appropriately bounded.


title:
Likelihood reweighting methods to reduce potential bias in
  noninferiority trials which rely on historical data to make inference

abstract:
  It is generally believed that bias is minimized in well-controlled randomized
clinical trials. However, bias can arise in active controlled noninferiority
trials because the inference relies on a previously estimated effect size
obtained from a historical trial that may have been conducted for a different
population. By implementing a likelihood reweighting method through propensity
scoring, a study designed to estimate a treatment effect in one trial
population can be used to estimate the treatment effect size in a different
target population. We illustrate this method in active controlled
noninferiority trials, although it can also be used in other types of studies,
such as historically controlled trials, meta-analyses, and comparative
effectiveness analyses.


title:
Covariant vs. non-covariant quantum collapse: Proposal for an
  experimental test

abstract:
  Two alternative interpretations of the quantum collapse are proposed: a
time-ordered and a timeless one. The time-ordered interpretation implies that
the speed of light can be defined in an absolute way, while the timeless
quantum collapse implies relativity and can be reckoned as covariant too. An
experiment is proposed to decide between these two interpretations, which may
also be considered a test of Bohm's "preferred frame" assumption.


title:
Resolving different sources of fast X-ray variability of the dwarf nova
  RU Peg in quiescence

abstract:
  We analysed an X-ray light curve of the dwarf nova RU Peg taken by XMM-Newton
with a duration of 46300 s. The power density spectrum has a complicated shape
with two red noise and two white noise components, indicating the presence of
two turbulent regions. We developed a statistical "toy model" to study light
curves with variability produced by an unstable turbulent accretion flow from
the inner disc. Our results are consistent with a disc truncation radius
maximally 0.8 x 10^9 cm. We found that any fluctuation of the viscous mass
accretion at the inner disc are visible as UV and X-ray variations with the
same break frequency in the power density spectrum. This process is generating
low frequency variability. A second break suggests the presence of a faster
X-ray variability component which must be generated by another process likely
localised between the inner disc and the white dwarf.


title: Using Quaternion-Valued Linear Algebra

abstract:
  Linear algebra is usually defined over a field such as the reals or complex
numbers. It is possible to extend this to skew fields such as the quaternions.
However, to the authors' knowledge there is no commonly accepted notation of
linear algebra over skew fields. To this end, we discuss ways of notation that
account for the non-commutativity of the quaternion multiplication.


title:
Exploring viscous damping in undergraduate Physics laboratory using
  electromagnetically coupled oscillators

abstract:
  We design a low-cost, electromagnetically coupled, simple harmonic oscillator
and demonstrate free, damped and forced oscillations in an under-graduate (UG)
Physics laboratory. It consists of a spring-magnet system that can oscillate
inside a cylinder around which copper coils are wound. Such demonstrations can
compliment the traditional way in which a Waves & Oscillations course is taught
and offers a richer pedagogical experience for students. We also show that with
minimal modifications, it can be used to probe the magnitude of viscous damping
forces in liquids by analyzing the oscillations of an immersed magnet. Finally,
we propose some student activities to explore non-linear damping effects and
their characterization using this apparatus.


title: Measurements of Quarkonium Production and Polarization at CMS

abstract:
  The polarizations of Y(nS) (n=1,2,3) and prompt J/\psi and \psi(2S), as well
as the differential cross section of the Y(nS), are measured in proton-proton
collisions at sqrt(s) = 7 TeV, using a dimuon data sample collected by the CMS
experiment at the LHC, corresponding to an integrated luminosity of 4.9 fb-1.
The differential cross section is measured as a function of transverse momentum
of Y(nS). The data show a transition from exponential to power-law behavior in
the neighborhood of 20 GeV, and the power-law exponents for all three states
are consistent. The polarization parameters \lambda\theta, \lambda\phi, and
\lambda\theta\phi, as well as the frame-invariant quantity \lambda, are
measured from the dimuon decay angular distributions in three different
polarization frames. No evidence of large polarizations is seen in these
kinematic regions, which extend much beyond those previously explored.


title:
The influence of the surface roughness on dielectric function of
  two-dimensional electron gas

abstract:
  Low field response function calculations have been performed on a
two-dimensional electron gas with well-defined electron-surface roughness
scattering. The Lindhard model was employed to compute the response function.
In particular, detailed investigations were made on the system searching for an
interplay between surface roughness with well-defined correlation function,
(characterizes by asperity height and correlation length) spatial confinement
and the dielectric function. We analyze to what extent the normal behavior and
functionality of dielectric function of two-dimensional devices are modified by
random scattering events caused by the contribution from the surface roughness.
Results of the current work indicate that contribution of the surface roughness
on scattering and absorption process could not be considered as an
underestimating effect. We find, however, that functionality of the dielectric
function seems to be quite independent of the particular roughness features.


title: A refined enumeration of $p$-ary labeled trees

abstract:
  Let $\mathcal{T}^{(p)}_n$ be the set of $p$-ary labeled trees on
$\{1,2,\dots,n\}$. A maximal decreasing subtree of an $p$-ary labeled tree is
defined by the maximal $p$-ary subtree from the root with all edges being
decreasing. In this paper, we study a new refinement $\mathcal{T}^{(p)}_{n,k}$
of $\mathcal{T}^{(p)}_n$, which is the set of $p$-ary labeled trees whose
maximal decreasing subtree has $k$ vertices.


title:
Higgs couplings and electroweak observables: a comparison of precision
  tests

abstract:
  Is the weak scale natural? This ever pending question makes the search for
new particle production a highly motivated primary goal of the next LHC phase.
These searches may or may not be successful. While waiting for a needed higher
energy collider to extend the direct exploration, the search for signs of new
physics might be confined to indirect tests for quite some time. In a few fully
calculable models, weakly or semi-strongly interacting, we compare the
significance to measure the Higgs couplings versus the electroweak observables.


title:
Electronic Structure Trends of M\"obius Graphene Nanoribbons from
  Minimal-Cell Simulations

abstract:
  Investigating topological effects in materials requires often the modeling of
material systems as a whole. Such modeling restricts system sizes, and makes it
hard to extract systematic trends. Here, we investigate the effect of M\"obius
topology in the electronic structures of armchair graphene nanoribbons. Using
density-functional tight-binding method and minimum-cell simulations through
revised periodic boundary conditions, we extract electronic trends merely by
changing cells' symmetry operations and respective quantum number samplings. It
turns out that for a minimum cell calculation, once geometric and magnetic
contributions are ignored, the effect of the global topology is unexpectedly
short-ranged.


title: Cooperative coupling of ultracold atoms and surface plasmons

abstract:
  Cooperative coupling between optical emitters and light fields is one of the
outstanding goals in quantum technology. It is both fundamentally interesting
for the extraordinary radiation properties of the participating emitters and
has many potential applications in photonics. While this goal has been achieved
using high-finesse optical cavities, cavity-free approaches that are broadband
and easy to build have attracted much attention recently. Here we demonstrate
cooperative coupling of ultracold atoms with surface plasmons propagating on a
plane gold surface. While the atoms are moving towards the surface they are
excited by an external laser pulse. Excited surface plasmons are detected via
leakage radiation into the substrate of the gold layer. A maximum Purcell
factor of $\eta_\mathrm{P}=4.9$ is reached at an optimum distance of
$z=250~\mathrm{nm}$ from the surface. The coupling leads to the observation of
a Fano-like resonance in the spectrum.


title: Protein-DNA electrostatics: toward a new paradigm for protein sliding

abstract:
  Gene expression and regulation rely on an apparently finely tuned set of
reactions between some proteins and DNA. Such DNA-binding proteins have to find
specific sequences on very long DNA molecules and they mostly do so in absence
of any active process. It has been rapidly recognized that to achieve this task
these proteins should be efficient at both searching (i.e. sampling fast
relevant parts of DNA) and finding (i.e. recognizing the specific site). A
two-mode search and variants of it have been suggested since the 70s to explain
either a fast search or an efficient recognition. Combining these two
properties at a phenomenological level is however more difficult as they appear
to have antagonist roles. To overcome this difficulty, one may simply need to
drop the dihcotomic view inherent to the two-mode search and look more
thoroughly at the set of interactions between DNA-binding proteins and a given
DNA segment either specific or non-specific. This chapter demonstrates that, in
doing so in a very generic way, one may indeed find a potential reconciliation
between a fast search and an efficient recognition. Although a lot remains to
be done, this could be the time for a change of paradigm


title: Phase-referenced Interferometry and Narrow-angle Astrometry with SUSI

abstract:
  The Sydney University Stellar Interferometer (SUSI) now incorporates a new
beam combiner, called the Microarcsecond University of Sydney Companion
Astrometry instrument (MUSCA), for the purpose of high precision differential
astrometry of bright binary stars. Operating in the visible wavelength regime
where photon-counting and post-processing fringe tracking is possible, MUSCA
will be used in tandem with SUSI's primary beam combiner, Precision
Astronomical Visible Observations (PAVO), to record high spatial resolution
fringes and thereby measure the separation of fringe packets of binary stars.
In its current phase of development, the dual beam combiner configuration has
successfully demonstrated for the first time a dual-star phase-referencing
operation in visible wavelengths. This paper describes the beam combiner optics
and hardware, the network of metrology systems employed to measure every
non-common path between the two beam combiners and also reports on a recent
narrow-angle astrometric observation of $\delta$ Orionis A (HR 1852) as the
project enters its on-sky testing phase.


title: Noncommutative Space-time from Quantized Twistors

abstract:
  We consider the relativistic phase space coordinates (x_{\mu},p_{\mu}) as
composite, described by functions of the primary pair of twistor coordinates.
It appears that if twistor coordinates are canonicaly quantized the composite
space-time coordinates are becoming noncommutative. We obtain deformed
Heisenberg algebra which in order to be closed should be enlarged by the
Pauli-Lubanski four-vector components. We further comment on star-product
quantization of derived algebraic structures which permit to introduce
spin-extended deformed Heisenberg algebra.


title:
Uniqueness of asymptotically cylindrical gradient shrinking Ricci
  solitons

abstract:
  In this paper we prove that any asymptotically cylindrical gradient shrinking
Ricci soliton is isometric to a cylinder.


title: Probing magnetars magnetosphere through X-ray polarization measurements

abstract:
  The study of magnetars is of particular relevance since these objects are the
only laboratories where the physics in ultra-strong magnetic fields can be
directly tested. Until now, spectroscopic and timing measurements at X-ray
energies in soft gamma-repeaters (SGRs) and anomalous X-ray pulsar (AXPs) have
been the main source of information about the physical properties of a magnetar
and of its magnetosphere. Spectral fitting in the ~ 0.5-10 keV range allowed to
validate the "twisted magnetosphere" model, probing the structure of the
external field and estimating the density and velocity of the magnetospheric
currents. Spectroscopy alone, however, may fail in disambiguating the two key
parameters governing magnetospheric scattering (the charge velocity and the
twist angle) and is quite insensitive to the source geometry. X-ray
polarimetry, on the other hand, can provide a quantum leap in the field by
adding two extra observables, the linear polarization degree and the
polarization angle. Using the bright AXP 1RXS J170849.0-400910 as a template,
we show that phase-resolved polarimetric measurements can unambiguously
determine the model parameters, even with a small X-ray polarimetry mission
carrying modern photoelectric detectors and existing X-ray optics. We also show
that polarimetric measurements can pinpoint vacuum polarization effects and
thus provide an indirect evidence for ultra-strong magnetic fields.


title: Bertotti-Robinson solutions in five--dimensional quadratic gravity

abstract:
  We construct new solutions of five-dimensional quadratic gravity as direct
products of a constant curvature two-surface with a solution of
three-dimensional new massive gravity with constant scalar curvature. These
solutions could represent near-horizon limits of five-dimensional
asymptotically flat black strings or black rings. A number of these
non-asymptotically flat solutions are themselves black strings or rings. A
by-product of our analysis is the construction of new solutions of
four-dimensional quadratic gravity obtained by toroidal reduction of the
five-dimensional solutions with flat transverse space. These again include
black strings or rings, and an $AdS_2\times T^2$ solution of $f(R)$ gravity for
a specific relation between the model parameters.


title: Metastable states when the Fermi Golden Rule constant vanishes

abstract:
  Resonances appearing by perturbation of embedded non-degenerate eigenvalues
are studied in the case when the Fermi Golden Rule constant vanishes. Under
appropriate smoothness properties for the resolvent of the unperturbed
Hamiltonian, it is proved that the first order Rayleigh-Schr\"odinger expansion
exists. The corresponding metastable states are constructed using this
truncated expansion. We show that their exponential decay law has both the
decay rate and the error term of order $\varepsilon^4$, where $\varepsilon$ is
the perturbation strength.


title: DG-modules over de Rham DG-algebra

abstract:
  For a morphism of smooth schemes over a regular affine base we define
functors of derived direct image and extraordinary inverse image on coderived
categories of DG-modules over de Rham DG-algebras. Positselski proved that for
a smooth algebraic variety $X$ over a field $k$ of characteristic zero the
coderived category of DG-modules over $\Omega^\bullet_{X/k}$ is equivalent to
the unbounded derived category of quasi-coherent right ${\mathscr
D}_X$-modules. We prove that our functors correspond to the functors of the
same name for ${\mathscr D}_X$-modules under Positselski equivalence.


title:
Photometric and spectroscopic studies of star-forming regions within
  Wolf-Rayet galaxies

abstract:
  We present a study of the properties of star-forming regions within a sample
of 7 Wolf-Rayet (WR) galaxies. We analyze their morphologies, colours,
star-formation rate (SFR), metallicities, and stellar populations combining
broad-band and narrow-band photometry with low-resolution optical spectroscopy.
The $UBVRI$ observations were made through the 2m HCT (Himalayan Chandra
Telescope) and 1m ARIES telescope. The spectroscopic data were obtained using
the Hanle Faint Object Spectrograph Camera (HFOSC) mounted on the 2m HCT. The
observed galaxies are NGC 1140, IRAS 07164+5301, NGC 3738, UM 311, NGC 6764,
NGC 4861 and NGC 3003. The optical spectra have been used to search for the
faint WR features, to confirm that the ionization of the gas is consequence of
the massive stars, and to quantify the oxygen abundance of each galaxy using
several and independent empirical calibrations. We detected the broad features
originated by WR stars in NGC 1140 and NGC 4861 and used them to derive their
population of massive stars. Using our H$\alpha$ images we have identified tens
of regions within these galaxies, for which we derived the SFR. For all regions
we found that the most recent star-formation event is 3 - 6 Myr old. We used
the optical broad-band colours in combination with Starburst99 models to
estimate the internal reddening and the age of the dominant underlying stellar
population within all these regions. Knots in NGC 3738, NGC 6764 and NGC 3003
generally show the presence of an important old (400 - 1000 Myr) stellar
population. However, the optical colours are not able to detect stars older
than 20 - 50 Myr in the knots of the other four galaxies. This fact suggests
both the intensity of the starbursts and that the star-formation activity has
been ongoing for at least some few tens of million years in these objects.


title:
Modulated Gamma-ray emission from compact millisecond pulsar binary
  systems

abstract:
  A significant amount of the millisecond pulsars has been discovered within
binary systems. In several such binary systems the masses of the companion
stars have been derived allowing to distinguish two classes of objects, called
the Black Widow and the Redback binaries. Pulsars in these binary systems are
expected to produce winds which, colliding with stellar winds, create
conditions for acceleration of electrons. These electrons should interact with
the anisotropic radiation from the companion stars producing gamma-ray emission
modulated with the orbital period of the binary system. We consider the
interaction of a millisecond pulsar (MSP) wind with a very inhomogeneous
stellar wind from the companion star within binary systems of the Black Widow
and Redback types. It is expected that the pulsar wind should mix efficiently
with the inhomogeneous stellar wind. Electrons accelerated in such mixed,
turbulent winds can interact with the magnetic field and also strong radiation
from the companion star producing not only synchrotron radiation but also
gamma-rays in the the Inverse Compton process. Applying numerical methods, we
calculated the GeV-TeV gamma-ray spectra and the light curves expected from
some millisecond pulsar binary systems. It is concluded that energetic
millisecond pulsar binary systems create a new class of TeV gamma-ray sources
which could be detectable by the future Cherenkov arrays (e.g. CTA) and
possibly also by the extensive campaigns with the present arrays (HESS, MAGIC,
VERITAS). However, gamma-ray emission from the millisecond pulsar binary
systems is predicted to have different features than those observed in the case
of massive TeV gamma-ray binaries such as LS I 303 61 or LS 5039. The maximum
in the TeV gamma-ray orbital light curve should appear when the MSP is behind
the companion star.


title: A state change in the missing link binary pulsar system PSR J1023+0038

abstract:
  We present radio, X-ray, and gamma-ray observations which reveal that the
binary millisecond pulsar / low-mass X-ray binary transition system PSR
J1023+0038 has undergone a transformation in state. Whereas until recently the
system harbored a bright millisecond radio pulsar, the radio pulsations at
frequencies between 300 to 5000 MHz have now become undetectable. Concurrent
with this radio disappearance, the gamma-ray flux of the system has quintupled.
We conclude that, though the radio pulsar is currently not detectable, the
pulsar mechanism is still active and the pulsar wind, as well as a newly formed
accretion disk, are together providing the necessary conditions to create the
gamma-ray increase. The system is the first example of a transient, compact,
low-mass gamma-ray binary and will continue to provide an exceptional test bed
for better understanding the formation of millisecond pulsars as well as
accretion onto neutron stars in general.


title: Maximal subfields of a division algebra

abstract:
  Let $D$ be a division algebra over a field $F$. In this paper, we prove that
there exist $a,b,x,y\in D^*$ such that $F(ab-ba)$ and $F(xyx^{-1}y^{-1})$ are
maximal subfields of $D$, which answers questions posted in [5].


title:
Thermal Description of Particle Production in Au-Au Collisions at STAR
  Energies

abstract:
  The hadron ratios measured in central Au-Au collisions are analysed by means
of Hadron Resonance Gas (HRG) model over a wide range of nucleon-nucleon
center-of-mass energies ranging from 7.7 to 200 GeV as offered by the STAR Beam
Energy Scan I (BES-I). We restrict the discussion on STAR BES-I, because of
large statistics and over all homogeneity of STAR measurements (one detector)
against previous experiments. Over the last three decades, various heavy-ion
experiments utilizing different detectors (different certainties) have been
carried out. Regularities in produced particles at different energies haven
been studied. The temperature and baryon chemical potential are deduced from
fits of experimental ratios to thermal model calculations assuming chemical
equilibrium. We find that the resulting freeze-out parameters using single
hard-core value and point-like constituents of HRG are identical. This implies
that the excluded-volume comes up with no effect on the extracted parameters.
We compare the results with other studies and with the lattice QCD
calculations. Various freeze-out conditions are confronted with the resulting
data set. The effect of feed-down contribution from week decay and of including
new resonances are also analysed. At vanishing chemical potential, a limiting
temperature was estimated as T=158.5 MeV with 3 MeV uncertainty.


title:
Local-global principle for 0-cycles on fibrations over rationally
  connected bases

abstract:
  We study the Brauer-Manin obstruction to the Hasse principle and to weak
approximation for 0-cycles on algebraic varieties that possess a fibration
structure. The exactness of the local-to-global sequence $(E)$ of Chow groups
of 0-cycles was known only for a fibration whose base is either a curve or the
projective space. In the present paper, we prove the exactness of $(E)$ for
fibrations whose bases are Ch\^{a}telet surfaces or projective models of
homogeneous spaces of connected linear algebraic groups with connected
stabilizers. We require that either all fibres are split and most fibres
satisfy weak approximation for 0-cycles, or the generic fibre has a 0-cycle of
degree $1$ and $(E)$ is exact for most fibres.


title: Variational Bose-Hubbard model revisited

abstract:
  For strongly interacting bosons in optical lattices the standard description
using Bose-Hubbard model becomes questionable. The role of excited bands
becomes important. In such a situation we compare results of simulations using
multiband Bose-Hubbard model with a recent proposition based on a time
dependent variational approach. It is shown that the latter, in its original
formulation, uses too small variational space leading often to spurious
effects. Possible expansion of variational approach is discussed.


title: Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory

abstract:
  The determination of $\vert V_{us}\vert$ from kaon semileptonic decays
requires the value of the form factor $f_+(q^2=0)$, which can be calculated
precisely on the lattice. We provide the one-loop partially quenched staggered
chiral perturbation theory expressions that may be employed to analyze
staggered simulations of $f_+(q^2)$ with three light flavors. We consider both
the case of a mixed action, where the valence and sea sectors have different
staggered actions, and the standard case where these actions are the same. The
momentum transfer $q^2$ of the form factor is allowed to have an arbitrary
value. We give results for the generic situation where the $u$, $d$, and $s$
quark masses are all different, $N_f=1+1+1$, and for the isospin limit,
$N_f=2+1$. The expression we obtain for $f_+(q^2)$ is independent of the mass
of the (valence) spectator quark. In the limit of vanishing lattice spacing,
our results reduce to the one-loop continuum partially quenched expression for
$f_+(q^2)$, which has not previously been reported in the literature for the
$N_f=1+1+1$ case. Our expressions have already been used in staggered lattice
analyses of $f_+(0)$, and should prove useful in future calculations as well.


title: Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime

abstract:
  The deviation from geodesic motion of the world line of an extended body
endowed with multipolar structure up to the mass quadrupole moment is studied
in the Kerr background according to the Mathisson-Papapetrou-Dixon model. The
properties of the quadrupole tensor are clarified by identifying the relevant
components which enter the equations of motion, leading to the definition of an
effective quadrupole tensor sharing its own algebraic symmetries, but also
obeying those implied by the Mathisson-Papapetrou-Dixon model itself. The
equations of motion are then solved analytically in the limit of small values
of the characteristic length scales associated with the spin and quadrupole
variables in comparison with the one associated with the background curvature
and under special assumptions on body's structure and motion. The resulting
quasi-circular orbit is parametrized in a Keplerian-like form, so that
temporal, radial and azimuthal eccentricities as well as semi-major axis,
period and periastron advance are explicitly computed and expressed in terms of
gauge-invariant variables in the weak field and slow motion limit. A companion
numerical study of the equations of motion is performed too.


title: From Statistical Evidence to Evidence of Causality

abstract:
  While statisticians and quantitative social scientists typically study the
"effects of causes" (EoC), Lawyers and the Courts are more concerned with
understanding the "causes of effects" (CoE). EoC can be addressed using
experimental design and statistical analysis, but it is less clear how to
incorporate statistical or epidemiological evidence into CoE reasoning, as
might be required for a case at Law. Some form of counterfactual reasoning,
such as the "potential outcomes" approach championed by Rubin, appears
unavoidable, but this typically yields "answers" that are sensitive to
arbitrary and untestable assumptions. We must therefore recognise that a CoE
question simply might not have a well-determined answer. It is nevertheless
possible to use statistical data to set bounds within which any answer must
lie. With less than perfect data these bounds will themselves be uncertain,
leading to a compounding of different kinds of uncertainty. Still further care
is required in the presence of possible confounding factors. In addition, even
identifying the relevant "counterfactual contrast" may be a matter of Policy as
much as of Science. Defining the question is as non-trivial a task as finding a
route towards an answer. This paper develops some technical elaborations of
these philosophical points, and illustrates them with an analysis of a case
study in child protection.
  Keywords: benfluorex, causes of effects, counterfactual, child protection,
effects of causes, Fre'chet bound, potential outcome, probability of causation


title:
Collective Autoionization in Multiply-Excited Systems: A novel
  ionization process observed in Helium Nanodroplets

abstract:
  Free electron lasers (FELs) offer the unprecedented capability to study
reaction dynamics and image the structure of complex systems. When multiple
photons are absorbed in complex systems, a plasma-like state is formed where
many atoms are ionized on a femtosecond timescale. If multiphoton absorption is
resonantly-enhanced, the system becomes electronically-excited prior to plasma
formation, with subsequent decay paths which have been scarcely investigated to
date. Here, we show using helium nanodroplets as an example that these systems
can decay by a new type of process, named collective autoionization. In
addition, we show that this process is surprisingly efficient, leading to ion
abundances much greater than that of direct single-photon ionization. This
novel collective ionization process is expected to be important in many other
complex systems, e.g. macromolecules and nanoparticles, exposed to high
intensity radiation fields.


title: The Generalized RS-theorem

abstract:
  Eigenvalues of a graph are the eigenvalues of the corresponding
(0,1)-adjacency matrix. The second largest eigenvalue lambda_2 provides
significant information on characteristics and structure of graphs. Therefore,
finding bounds for lambda_2 is a topic of interest in many fields. So far we
have studied the graphs with the property lambda_2 is less or equal to 2,
so-called reflexive graphs. The original RS-theorem is about them. In this
paper we generalize that concept and introduce the arbitrary bounds. The
Generalized RS-theorem gives us an answer whether the second largest eigenvalue
of a graph is greater than, less than, or equal to a, a>0, within some classes
of connected graphs with a cut-vertex. After removing the cut-vertex u of the
given graph G, we examine the indices of the components of G-u. The information
on these indices is used to make conclusions about the second largest
eigenvalue of the graph G. In the RS-theorem a=2. Here, we state and prove the
Generalized RS-theorem, one corollary, and, also, give some useful lemmas.


title: U-band photometry of 17 WINGS clusters

abstract:
  This paper belongs to a series presenting the WIde Field Nearby
Galaxy-cluster Survey (WINGS). The WINGS project has collected wide-field,
optical (B,V) and near-infrared (J,K) imaging, as well as medium resolution
spectroscopy of galaxies in a sample of 76 X-ray selected nearby clusters (0.04
< z < 0.07), with the aim of establishing a reference sample for evolutionary
studies of galaxies and galaxy clusters. In this paper we present the U-band
photometry of galaxies and stars in the fields of 17 clusters of the WINGS
sample. We also extend to a larger field of view the original B- and V-band
photometry (WINGS-OPT) for 9 and 6 WINGS clusters, respectively. We use both
the new and the already existing B-band photometry to get reliable (U-B) colors
of galaxies within three fixed apertures in kpc. To this aim, in the reduction
procedure we put particular care in the astrometric precision. Since not all
the observations have been taken in good transparency conditions, the
photometric calibration was partly obtained relying on the SDSS and WINGS-OPT
photometry for the U- and optical bands, respectively. We provide U-band (also
B- and V-band, where possible) total magnitudes of stars and galaxies in the
fields of clusters. Just for galaxies, the catalogs also provide geometrical
parameters and carefully centered aperture magnitudes. The internal consistency
of magnitudes has been checked for clusters imaged with different cameras,
while the external photometric consistency has been obtained comparing with the
WINGS-OPT and SDSS surveys. The photometric catalogs presented here add the
U-band information to the WINGS database for extending the SED of the galaxies,
in particular in the UV wavelengths which are fundamental for deriving the SFR
properties.


title: Measurement of the proton electromagnetic form factors at BABAR

abstract:
  The process e+e- --> p anti-p has been studied in the p anti-p mass range
from threshold to 6.5 GeV/c^2 using the initial-state-radiation technique with
both detected and undetected photon. The analysis is based on 469 fb-1 of
integrated luminosity collected with the BABAR detector at the PEP-II collider
at e+e- center-of-mass energies near 10.6 GeV.


title:
Power Penalty Due to First-order PMD in Optical OFDM/QAM and FBMC/OQAM
  Transmission System

abstract:
  Polarization mode dispersion (PMD) is a challenge for high-data-rate
optical-communication systems. More researches are desirable for impairments
that is induced by PMD in high-speed optical orthogonal frequency division
multiplexing (OFDM) transmission system. In this paper, an approximately
analytical method for evaluating the power penalty due to first-order PMD in
optical OFDM with quadrature amplitude modulation (OFDM/QAM) and filter bank
based multi-carrier with offset quadrature amplitude modulation (FBMC/OQAM)
transmission system is presented. The simulation results show that, compared
with the single carrier with quadrature phase shift keying(SC-QPSK), both the
OFDM/QAM and the FBMC/OQAM can decrease the power penalty caused by PMD by
half. Furthermore, the FBMC/OQAM shows better power penalty immunity than the
OFDM/QAM under the influence of first order PMD.


title:
Positive solutions of quasilinear elliptic equations with subquadratic
  growth in the gradient

abstract:
  We study positive solutions of equation (E) $-\Delta u + u^p|\nabla u|^q= 0$
($0<p$, $0\leq q\leq 2$, $p+q>1$) and other related equations in a smooth
bounded domain $\Omega \subset {\mathbb R}^N$. We show that if $N(p+q-1)<p+1$
then, for every positive, finite Borel measure $\mu$ on $\partial \Omega$,
there exists a solution of (E) such that $u=\mu$ on $\partial \Omega$.
Furthermore, if $N(p+q-1)\geq p+1$ then an isolated point singularity on
$\partial \Omega$ is removable. In particular there is no solution with
boundary data $\delta_y$ (=Dirac measure at a point $y\in \partial \Omega$).
Finally we obtain a classification of positive solutions with an isolated
boundary singularity.


title: Proof of a convergence of affine Riemann surfaces to a richer one

abstract:
  We give a proof of a phenomenon conjectured in our former article: "Beltrami
forms, affine surfaces and the Schwarz-Christoffel formula: a worked out
example of straightening". We also start an abstract discussion of the notion
of limits of Riemann surfaces.


title:
Nuclear masses near N = Z from Nilsson-Strutinsky calculations with
  pairing corrections beyond BCS from an isospin-conserving pairing force

abstract:
  A model with nucleons in a charge-independent potential well interacting by
an isovector pairing force is considered. For a 24-dimensional valence space,
the Hartree-Bogolyubov (HB) plus random phase approximation (RPA) to the lowest
eigenvalue of the Hamiltonian is shown to be accurate except near values of the
pairing force coupling constant G where the HB solution shifts from a zero to a
non-zero pair gap. In the limit G -> infinity the HB + RPA is asymptotically
exact. The inaccuracy of the HB + RPA in the critical regions of G can be
remedied by interpolation. The resulting algoritm is used to calculate pairing
corrections in the framework of a Nilsson-Strutinsky calculation of nuclear
masses near N = Z for A = 24-100, where N and Z are the numbers of neutrons and
protons, and A = N + Z. The dimension of the valence space is 2A in these
calculations. Adjusting five liquid drop parameters and a power law expression
for the constant G as a function of A allows us to reproduce the measured
binding energies of 112 doubly even nuclei in this range with a root mean
square deviation of 0.95 MeV. Several combinations of the masses for different
N, Z, and isospin T are considered and the calculations found to be in good
agreement with the data. It is demonstrated by examples how fluctuations as a
function of A of the constant X in an expansion of the symmetry energy of the
form T(T+X)/(2 theta) can be understood from the shell structure.


title:
Equivalences of 5-dimensional CR manifolds III: Six models and
  elementary normalizations

abstract:
  The six nondegeneracy conditions of geometric nature that are satisfied by
the only six possibly existing nondegenerate general classes I, II, III-1,
III-2, IV-1, IV-2 of 5-dimensional CR manifolds are shown to be readable
instantaneously from their elementarily normalized respective defining graphed
equations, without advanced Moser theory.


title: The word problem for free adequate semigroups

abstract:
  We study the complexity of computation in finitely generated free left, right
and two-sided adequate semigroups and monoids. We present polynomial time
(quadratic in the RAM model of computation) algorithms to solve the word
problem and compute normal forms in each of these, and hence also to test
whether any given identity holds in the classes of left, right and/or two-sided
adequate semigroups.


title:
Lower bound on neutrino mass and possible CP violation in neutrino
  oscillations

abstract:
  The phenomenology of the most general lepton mass matrices obtained through
weak basis transformations has been discussed. Using a hierarchical
parametrization of these mass matrices, the exact relations for lepton mixing
angles have been obtained assuming normal neutrino mass hierarchy and natural
structures of lepton mass matrices. The recent three neutrino oscillation data
together with the condition of naturalness on Dirac lepton mass matrices
provide a lower bound on the lightest neutrino mass of m{\nu}1 > 3 meV along
with a non-vanishing Dirac CP violating phase.


title:
Polynomial regression using trapezoidal rule for computing Legendre
  coefficients

abstract:
  We are presenting a method for computing the Fourier coefficients of a given
polynomial regression by using the trapezoidal rule for numerical integration.
As function basis we use the orthogonal Legendre polynomials. The results are
accurate and stable compared to Forsythe's method.


title: Quantum Near Horizon Geometry of Black 0-Brane

abstract:
  We investigate a bunch of D0-branes to reveal its quantum nature from the
gravity side. In the classical limit, it is well described by a non-extremal
black 0-brane in type IIA supergravity. The solution is uplifted to the eleven
dimensions and expressed by a non-extremal M-wave solution. After reviewing the
effective action for the M-theory, we explicitly solve the equations of motion
for the near horizon geometry of the M-wave. As a result we derive an unique
solution which includes the effect of the quantum gravity. Thermodynamic
property of the quantum near horizon geometry of the black 0-brane is also
studied by using Wald's formula. Combining our result with that of the Monte
Carlo simulation of the dual thermal gauge theory, we find strong evidence for
the gauge/gravity duality in the D0-branes system at the level of quantum
gravity.


title:
The Greiner's approach to heat kernel asymptotics and the variation
  formulas for the equivariant Ray-Singer metric

abstract:
  In this paper, using the Greiner's approach to heat kernel asymptotics, we
give new proofs of the equivariant Gauss-Bonnet-Chern formula and the variation
formulas for the equivariant Ray-Singer metric, which are originally due to J.
M. Bismut and W. Zhang.


title: General Relativistic Equilibrium Models of Magnetized Neutron Stars

abstract:
  Magnetic fields play a crucial role in many astrophysical scenarios and, in
particular, are of paramount importance in the emission mechanism and evolution
of Neutron Stars (NSs). To understand the role of the magnetic field in compact
objects it is important to obtain, as a first step, accurate equilibrium models
for magnetized NSs. Using the conformally flat approximation we solve the
Einstein's equations together with the GRMHD equations in the case of a static
axisymmetryc NS taking into account different types of magnetic configuration.
This allows us to investigate the effect of the magnetic field on global
properties of NSs such as their deformation.


title: Accelerating charging dynamics in sub-nanometer pores

abstract:
  Having smaller energy density than batteries, supercapacitors have
exceptional power density and cyclability. Their energy density can be
increased using ionic liquids and electrodes with sub-nanometer pores, but this
tends to reduce their power density and compromise the key advantage of
supercapacitors. To help address this issue through material optimization, here
we unravel the mechanisms of charging sub-nanometer pores with ionic liquids
using molecular simulations, navigated by a phenomenological model. We show
that charging of ionophilic pores is a diffusive process, often accompanied by
overfilling followed by de-filling. In sharp contrast to conventional
expectations, charging is fast because ion diffusion during charging can be an
order of magnitude faster than in bulk, and charging itself is accelerated by
the onset of collective modes. Further acceleration can be achieved using
ionophobic pores by eliminating overfilling/de-filling and thus leading to
charging behavior qualitatively different from that in conventional, ionophilic
pores.


title: Parameters of charmonium states from KEDR

abstract:
  We report results of experiments performed with the KEDR detector at the
VEPP-4M $e^+e^-$ collider. They include final results for the mass and other
parameters of the $J/\psi$, $\psi(2S)$ and $\psi(3770)$ and
$J/\psi\to\gamma\eta_c$ branching fraction determination.


title: Studies of Charmonium Production at BaBar

abstract:
  We present recent results on charmonium and charmonium-like states from the
BaBar B-factory located at the PEP-II asymmetric-energy $e^{+}e^{-}$ collider
at the SLAC National Accelerator Laboratory.


title:
Gate Tunable In- and Out-Of-Plane Spin-Orbit Coupling and Spin Splitting
  Anisotropy at LaAlO3/SrTiO3 (110) Interface

abstract:
  Manipulating spin-orbit coupling (SOC) is important for devices such as
spin-orbit torque based memory and its understanding is neccessary to answer
several fundamental open questions in triplet state superconductivity,
topological insulators and Majorana fermions. Here we report spin splitting of
25 meV at the LaAlO3/SrTiO3 (110) interface for in-plane spins at a current
density of 1.4x104 A/cm2, which is large compared to that found in
semiconductor heterostructures or the LaAlO3/SrTiO3 (100) interface, and in
addition it is anisotropic. The anisotropy arises from the difference in
electron effective mass along the [001] and [1-10] directions. Our study
predicts a spin splitting energy > 1000 meV at a current density of 107 A/cm2,
which is enormous compared to metallic systems and will be an ideal spin
polarized source. In addition to the in-plane effect, there is an unexpected
gate-tunable out-of-plane SOC at the LaAlO3/SrTiO3 (110) interface when the
spins lie out-of-plane due to broken symmetry in the plane of the interface. We
demonstrate that this can be manipulated by varying the LaAlO3 thickness
showing that this interface can be engineered for spin-orbit torque devices.


title:
Termination-dependent Electronic and Magnetic Properties of Ultrathin
  SrRuO$_{3}$ (111) Film on SrTiO$_{3}$

abstract:
  We have investigated electronic and magnetic properties of ultrathin
SrRuO$_{3}$ (SRO) film grown on (111) SrTiO$_{3}$ substrate using the {\it ab
initio} electronic structure calculations. Ru-terminated SRO (111) film suffers
from strong surface atomic relaxations, while SrO$_{3}$-terminated one
preserves the surface structure of ideal perovskites. Both Ru- and
SrO$_{3}$-terminated SRO (111) film show unexpected interlayer
antiferromagnetic (AFM) structure at the surface, but with different characters
and mechanisms. The AFM structure for the former results from the large surface
atomic relaxation, whereas that for the latter results from the truncated film
effect. Interestingly, for the SrO$_{3}$-termination case, the half-metallic
nature emerges despite the interlayer AFM structure. Upon reducing the
thickness, the collapsing behavior of magnetic anisotropy from out-of-plane to
in-plane easy axis is found to occur for the Ru-termination case, which,
however, does not pertain to SrO$_{3}$-termination case.


title: Anomalous Melting Scenario of the Two-Dimensional Core-Softened System

abstract:
  We consider the phase behavior of two-dimensional ($2D$)system of particles
with an isotropic core-softened potential introduced in our previous
publications. As one can expect from the qualitative consideration for the
three dimensional case, the system demonstrates a reentrant-melting transition
at low densities along with waterlike anomalies in the fluid phase near the
melting maximum. In contrast with the three dimensional case, in two dimensions
melting is a continuous two-stage transition in the low density part of the
phase diagram with an intermediate hexatic phase corresponding to the
Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario. At the same time,
at high densities the system melts through one first-order transition. We also
show, that the order of the region of anomalous diffusion and the regions of
density and structural anomalies are inverted in comparison with the $3D$ case
and have silicalike sequence.


title: Compact Part-Based Shape Spaces for Dense Correspondences

abstract:
  We consider the problem of establishing dense correspondences within a set of
related shapes of strongly varying geometry. For such input, traditional shape
matching approaches often produce unsatisfactory results. We propose an
ensemble optimization method that improves given coarse correspondences to
obtain dense correspondences. Following ideas from minimum description length
approaches, it maximizes the compactness of the induced shape space to obtain
high-quality correspondences. We make a number of improvements that are
important for computer graphics applications: Our approach handles meshes of
general topology and handles partial matching between input of varying
topology. To this end we introduce a novel part-based generative statistical
shape model. We develop a novel analysis algorithm that learns such models from
training shapes of varying topology. We also provide a novel synthesis method
that can generate new instances with varying part layouts and subject to
generic variational constraints. In practical experiments, we obtain a
substantial improvement in correspondence quality over state-of-the-art
methods. As example application, we demonstrate a system that learns shape
families as assemblies of deformable parts and permits real-time editing with
continuous and discrete variability.


title: Proceedings Sixth Transformation Tool Contest

abstract:
  The aim of the Transformation Tool Contest (TTC) series is to compare the
expressiveness, the usability and the performance of graph and model
transformation tools along a number of selected case studies. Participants want
to learn about the pros and cons of each tool considering different
applications. A deeper understanding of the relative merits of different tool
features will help to further improve graph and model transformation tools and
to indicate open problems.
  TTC 2013 involved 18 offline case study solutions: 6 solutions to the
FlowGraphs case, 9 solutions to the Petri Nets to Statecharts case and 3
solutions to the Restructuring case. 13 of the 18 solutions have undergone a
non-blind peer review before the workshop and were presented and evaluated
during the workshop in Budapest. This volume contains the submissions that have
passed an additional (post-workshop, blind) reviewing round.


title:
Dispersion C3 coefficients for the alkali-metal atoms interacting with a
  graphene layer and with a carbon nanotube

abstract:
  We evaluate separation dependent van der Waal dispersion ($C_3$) coefficients
for the interactions of the Li, Na, K and Rb alkali atoms with a graphene layer
and with a single walled carbon nanotube (CNT) using the hydrodynamic and Dirac
models. The results from both the models are evaluated using accurate values of
the dynamic polarizabilities of the above atoms. Accountability of these
accurate values of dynamical polarizabilities of the alkali atoms in
determination of the above $C_3$ coefficients are accentuated by comparing them
with the coefficients evaluated using the dynamic dipole polarizabilities
estimated from the single oscillator approximation which are typically employed
in the earlier calculations. For practical description of the atom-surface
interaction potentials the radial dependent $C_3$ coefficients are given for a
wide range of separation distances between the ground states of the considered
atoms and the wall surfaces and also for different values of nanotube radii.
The coefficients for the graphene layer are fit to a logistic function
dependent on the separation distance. For CNT, we have carried out a paraboloid
kind of fit dependent on both the separation distances and radii of the CNT.
These fitted functions,with the list of fitting parameters, can be used to
extrapolate the interaction potentials between the considered alkali atoms and
the graphene layer or CNT surface conveniently at the given level of accuracy.


title:
Are Boltzmann Plots of Hydrogen Balmer lines a tool for identifying a
  subclass of S1 AGN?

abstract:
  It is becoming clear that we can define two different types of nearby AGN
belonging to the Seyfert 1 class (S1), on the basis of the match of the
intensities of their Broad Balmer Lines (BBL) with the Boltzmann Plots (BP).
These two types of S1 galaxies, that we call BP-S1 and NoBP-S1, are
characterized, in first approximation, by Broad Line Regions (BLR) with
different structural and physical properties. In this communication, we show
that these features can be well pointed out by a multi-wavelength analysis of
the continuum and of the broad recombination Hydrogen lines, that we carry out
on a sample of objects detected at optical and X-ray frequencies. The
investigation is addressed to verify whether BP-S1 are the ideal candidates for
the study of the kinematical and structural properties of the BLR, in order to
derive reliable estimates of the mass of their central engine and to constrain
the properties of their nuclear continuum spectrum.


title:
A Hamiltonian Monte Carlo method for Bayesian Inference of Supermassive
  Black Hole Binaries

abstract:
  We investigate the use of a Hamiltonian Monte Carlo to map out the posterior
density function for supermassive black hole binaries. While previous Markov
Chain Monte Carlo (MCMC) methods, such as Metropolis-Hastings MCMC, have been
successfully employed for a number of different gravitational wave sources,
these methods are essentially random walk algorithms. The Hamiltonian Monte
Carlo treats the inverse likelihood surface as a "gravitational potential" and
by introducing canonical positions and momenta, dynamically evolves the Markov
chain by solving Hamilton's equations of motion. We present an implementation
of the Hamiltonian Markov Chain that is faster, and more efficient by a factor
of approximately the dimension of the parameter space, than the standard MCMC.


title:
Entropy dissipative one-leg multistep time approximations of nonlinear
  diffusive equations

abstract:
  New one-leg multistep time discretizations of nonlinear evolution equations
are investigated. The main features of the scheme are the preservation of the
nonnegativity and the entropy-dissipation structure of the diffusive equations.
The key ideas are to combine Dahlquist's G-stability theory with
entropy-dissipation methods and to introduce a nonlinear transformation of
variables which provides a quadratic structure in the equations. It is shown
that G-stability of the one-leg scheme is sufficient to derive discrete entropy
dissipation estimates. The general result is applied to a cross-diffusion
system from population dynamics and a nonlinear fourth-order quantum diffusion
model, for which the existence of semi-discrete weak solutions is proved. Under
some assumptions on the operator of the evolution equation, the second-order
convergence of solutions is shown. Moreover, some numerical experiments for the
population model are presented, which underline the theoretical results.


title:
Weighted Hamiltonian stationary Lagrangian submanifolds and generalized
  Lagrangian mean curvature flows in toric almost Calabi-Yau manifolds

abstract:
  In this paper we generalize examples of Hamiltonian stationary Lagrangian
submanifolds constructed by Lee and Wang in $\mathbb{C}^m$ to toric almost
Calabi-Yau manifolds. We construct examples of weighted Hamiltonian stationary
Lagrangian submanifolds in toric almost Calabi-Yau manifolds and solutions of
generalized Lagrangian mean curvature flows starting from these examples. We
allow these flows to have some singularities and topological changes.


title:
$C_0$-semigroups and resolvent operators approximated by Laguerre
  expansions

abstract:
  In this paper we introduce Laguerre expansions to approximate vector-valued
functions expanding on the well-known scalar theorem. We apply this result to
approximate $C_0$-semi\-groups and resolvent operators in abstract Banach
spaces. We study certain Laguerre functions, its Laplace transforms and the
convergence of Laguerre series in Lebesgue spaces. The concluding section of
this paper is devote to consider some examples of $C_0$-semigroups: shift,
convolution and holomorphic semigroups where some of these results are
improved.


title:
Spectroscopic characteristics of the cyanomethyl anion and its
  deuterated derivatives

abstract:
  It has long been suggested that CH2CN- might be a carrier of one of the many
poorly characterized diffuse interstellar bands. In this paper, our aim is to
study various forms of CH2CN in the interstellar medium. Aim of this paper is
to predict spectroscopic characteristics of various forms of CH2CN and its
deuterated derivatives. Moreover, we would like to model the interstellar
chemistry for making predictions for the column densities of such species
around dark cloud conditions.
  A detailed quantum chemical simulations to present the spectral properties of
various forms of the CH2CN. MP2 theory along with the aug-CCPVTZ basis set is
used to obtain different spectroscopic constants of CH2CN-, CHDCN- and CD2CN-
in the gas phase which are essential to predict rotational spectra of these
species. We performed quantum chemical calculation to find out energetically
the most stable spin states for these species. We have computed IR and
electronic absorption spectra for different forms of CH2CN. Moreover, we have
also implemented a large gas-grain chemical network to predict the column
densities of various forms of the cyanomethyl radical and its related species.
In order to mimic physical conditions around a dense cloud region, the
variation of the visual extinction parameters are considered with respect to
the hydrogen number density of the simulated cloud.
  Our quantum chemical calculation reveals that the singlet spin state is the
most stable form of cyanomethyl anion and its deuterated forms. For the
confirmation of the detection of the cyanomethyl anion and its two deuterated
forms, namely, CHDCN- and CD2CN-, we present the rotational spectral
information of these species in the Appendix. Our chemical model predicts that
the deuterated forms of cyanomethyl radicals (specially the anions) are also
reasonably abundant around the dense region of the molecular cloud.


title: Kac's chaos and Kac's program

abstract:
  In this note I present the main results about the quantitative and
qualitative propagation of chaos for the Boltzmann-Kac system obtained in
collaboration with C. Mouhot in \cite{MMinvent} which gives a possible answer
to some questions formulated by Kac in \cite{Kac1956}. We also present some
related recent results about Kac's chaos and Kac's program obtained in
\cite{MMWchaos,HaurayMischler,KleberSphere} by K. Carrapatoso, M. Hauray, C.
Mouhot, B. Wennberg and myself.


title:
Origin of the energetic ions at the substrate generated during high
  power pulsed magnetron sputtering of titanium

abstract:
  HiPIMS plasmas generate energetic metal ions at the substrate as a major
difference to conventional direct current magnetron sputtering. The origin of
these ions is still an open issue, which is unraveled by using two fast
diagnostics: time resolved mass spectrometry with a temporal resolution of 2
$\mu$s and phase resolved optical emission spectroscopy with a temporal
resolution of 1 $\mu$s. A power scan from dcMS-like to HiPIMS plasmas was
performed, with a 2-inch magnetron and a titanium target as sputter source and
argon as working gas. Clear differences in the transport as well in the
energetic properties of Ar$^{+}$, Ar$^{2+}$, Ti$^+$ and Ti$^{2+}$ were
observed. For discharges with highest peak power densities a high energetic
group of Ti$^+$ and Ti$^{2+}$ could be identified. A cold group of ions is
always present. It is found that hot ions are observed only, when the plasma
enters the spokes regime, which can be monitored by oscillations in the
IV-characteristics in the MHz range that are picked up by the used VI-probes.
These oscillations are correlated with the spokes phenomenon and are explained
as an amplification of the Hall current inside the spokes as hot ionization
zones. To explain the presence of energetic ions, we propose a double layer
(DL) confining the hot plasma inside a spoke: if an atom becomes ionized inside
the spokes region it is accelerated because of the DL to higher energies
whereas its energy remains unchanged if it is ionized outside. In applying this
DL model to our measurements the observed phenomena as well as several
measurements from other groups can be explained. Only if spokes and a double
layer are present the confined particles can gain enough energy to leave the
magnetic trap. We conclude from our findings that the spoke phenomenon
represents the essence of HiPIMS plasmas, explaining their good performance for
material synthesis applications.


title:
Conductivity of Graphene with Resonant Adsorbates: Beyond the Nearest
  Neighbor Hopping Model

abstract:
  Adsorbates on graphene can create resonances that lead to efficient electron
scattering and strongly affect the electronic conductivity. Therefore a proper
description of these resonances is important to get a good insight of their
effect on conductivity. The characteristics of the resonance and in particular
its T-matrix depend on the adsorbate itself but also on the electronic
structure of graphene. Here we show that a proper tight-binding model of
graphene which includes hopping beyond the nearest-neighbor lead to sizable
modifications of the scattering properties with respect to the mostly used
nearest neighbor hopping model. We compare results obtained with hopping beyond
the nearest-neighbor to those of our recent work Phys. Rev. Lett. 113, 146601
(2013). We conclude that the universal properties discussed in our recent work
are unchanged but that a detailed comparison with experiments require a
sufficiently precise tight-binding model of the graphene layer.


title:
On the contact area and mean gap of rough, elastic contacts: Dimensional
  analysis, numerical corrections and reference data

abstract:
  The description of elastic, nonadhesive contacts between solids with
self-affine surface roughness seems to necessitate knowledge of a large number
of parameters. However, few parameters suffice to determine many important
interfacial properties as we show by combining dimensional analysis with
numerical simulations. This insight is used to deduce the pressure dependence
of the relative contact area and the mean interfacial separation $\Delta
\bar{u}$ and to present the results in a compact form. Given a proper unit
choice for pressure $p$, i.e., effective modulus $E^*$ times the
root-mean-square gradient $\bar{g}$, the relative contact area mainly depends
on $p$ but barely on the Hurst exponent $H$ even at large $p$. When using the
root-mean-square height $\bar{h}$ as unit of length, $\Delta \bar{u}$
additionally depends on the ratio of the height spectrum cutoffs at short and
long wavelengths. In the fractal limit, where that ratio is zero, solely the
roughness at short wavelengths is relevant for $\Delta \bar{u}$. This limit,
however, should not be relevant for practical applications. Our work contains a
brief summary of the employed numerical method Green's function molecular
dynamics including an illustration of how to systematically overcome numerical
shortcomings through appropriate finite-size, fractal, and discretization
corrections. Additionally, we outline the derivation of Persson theory in
dimensionless units. Persson theory compares well to the numerical reference
data.


title:
On the angle between the first and the second Lyapunov vectors in
  spatio-temporal chaos

abstract:
  In a dynamical system the first Lyapunov vector (LV) is associated with the
largest Lyapunov exponent and indicates ---at some point on the attractor---
the direction of maximal growth in tangent space. The LV corresponding to the
second largest Lyapunov exponent generally points at a different direction, but
tangencies between both vectors can in principle occur. Here we find that the
probability density function (PDF) of the angle \psi spanned by the first and
the second LVs should be expected approximately symmetric around \pi/4 and
peaked at 0 and \pi/2. Moreover, for small angles we uncover a scaling law for
the PDF Q of \psi_l=\ln\psi with the system size L: Q(\psi_l)=L^{-1/2} f(\psi_l
L^{-1/2}). We give a theoretical argument that justifies this scaling form and
also explains why it should be universal (irrespective of the system details)
for spatio-temporal chaos in one spatial dimension.


title: Overdetermined problems with fractional Laplacian

abstract:
  Let $N\geq 1$ and $s\in (0,1)$. In the present work we characterize bounded
open sets $\Omega$ with $ C^2$ boundary (\textit{not necessarily connected})
for which the following overdetermined problem \begin{equation*} ( -\Delta)^s u
= f(u) \text{ in $\Omega$,} \qquad u=0 \text{ in $\mathbb{R}^N\setminus
\Omega$,} \qquad(\partial_{\eta})_s u=Const. \text{ on $\partial \Omega$}
\end{equation*} has a nonnegative and nontrivial solution, where $\eta $ is the
outer unit normal vectorfield along $\partial\Omega$ and for
$x_0\in\partial\Omega$ \[ \left(\partial_{\eta}\right)_{s}u(x_{0})=-\lim_{t\to
0}\frac{u(x_{0}-t\eta(x_0))}{t^s}. \]
  Under mild assumptions on $f$, we prove that $\Omega$ must be a ball. In the
special case $f\equiv 1$, we obtain an extension of Serrin's result in 1971.
The fact that $\Omega$ is not assumed to be connected is related to the
nonlocal property of the fractional Laplacian.
  The main ingredients in our proof are maximum principles and the method of
moving planes.


title:
Probing few-particle Laughlin states of photons via correlation
  measurements

abstract:
  We propose methods to create and observe Laughlin-like states of photons in a
strongly nonlinear optical cavity. Such states of strongly interacting photons
can be prepared by pumping the cavity with a Laguerre-Gauss beam, which has a
well-defined orbital angular momentum per photon. The Laughlin-like states
appear as sharp resonances in the particle-number-resolved transmission
spectrum. Power spectrum and second-order correlation function measurements
yield unambiguous signatures of these few-particle strongly-correlated states.


title: A framework for the modeling of order book dynamics based on event sizes

abstract:
  We propose a modeling framework for the dynamics of a reduced form order book
in event time and based on event sizes. Our framework for the order book is
influenced by [9], but compared to [9] we allow the best bid ask spread to be
larger than one tick. Based on the modeling assumption that the best bid as
well as the best ask price can only move by at most one tick (up or down), when
an event occurs, we show that the dynamics of this simplified order book is
completely described by a non-linear transformation of two processes (X, Y ). A
key challenge in the modeling is the empirical fact that the high frequency
order flow is strongly autocorrelated, a fact we have to deal with in the
modeling of (X, Y ). The core of our framework is a semi linear regression type
model for (X, Y ), influence by more classical ARMA and AR models, and one key
degree of freedom is the potentially non-linear basis functions used in the
regression. We use results from the theory of random iterative function systems
to understand issues concerning stationarity and ergodicity in our models. We
show how to rapidly calibrate the model by inverting block Toeplitz matrices in
an efficient way. All components are worked through and explain in an
application and the predictability of the model for order flows and price moves
are analyzed in the context of a high frequency dataset.


title:
Identification of non-ordinary mesons from the dispersive connection
  between their poles and their Regge trajectories: the f0(500) resonance

abstract:
  We show how the Regge trajectory of a resonance can be obtained from its pole
in a scattering process and analytic constraints in the complex angular
momentum plane. The method is suited for resonances that dominate an elastic
scattering amplitude. In particular, from the rho(770) resonance pole in
pion-pion scattering, we obtain its linear Regge trajectory, characteristic of
ordinary quark-antiquark states. In contrast, the f0(500) pole -the sigma
meson- which dominates scalar isoscalar pion-pion scattering, yields a
non-linear trajectory with a much smaller slope at the f0(500) mass.
Conversely, imposing a linear Regge trajectory for the f0(500), with a slope of
typical size, yields an elastic amplitude at odds with the data. This provides
strong support for the non-ordinary nature of the sigma meson.


title: XMM-Newton observations of 1A 0535+262 in quiescence

abstract:
  Accretion onto magnetized neutron stars is expected to be centrifugally
inhibited at low accretion rates. Several sources, however, are known to
pulsate in quiescence at luminosities below the theoretical limit predicted for
the onset of the centrifugal barrier. The source 1A 0535+262 is one of them.
Here we present the results of an analysis of a ~50 ks long XMM-Newton
observation of 1A 0535+262 in quiescence. At the time of the observation, the
neutron star was close to apastron, and the source had remained quiet for two
orbital cycles. In spite of this, we detected a pulsed X-ray flux of ~3e-11
erg/cm2/s . Several observed properties, including the power spectrum, remained
similar to those observed in the outbursts. Particularly, we have found that
the frequency of the break detected in the quiescent noise power spectrum
follows the same correlation with flux observed when the source is in outburst.
This correlation has been associated with the truncation of the accretion disk
at the magnetosphere boundary. We argue that our result, along with other
arguments previously reported in the literature, suggests that the accretion in
quiescence also proceeds from an accretion disk around the neutron star. The
proposed scenario consistently explains the energy of the cyclotron line
observed in 1A 0535+262, and the timing properties of the source including the
spin frequency evolution within and between the outbursts, and the frequency of
the break in power spectrum.


title: CP violations in $\pi^{\pm}$ Meson Decay

abstract:
  We study the pion decays with intermediate on-shell neutrinos $N$ into two
electrons and a muon, $\pi^{\pm} \to e^{\pm} N \to e^{\pm} e^{\pm} \mu^{\mp}
\nu$. We investigate the branching ratios ${\rm Br}_{\pm} = [\Gamma(\pi^- \to
e^- e^- \mu^+ \nu) \pm \Gamma(\pi^+ \to e^+e^+\mu^-\nu)]/\Gamma(\pi^- \to {\rm
all})$ and the CP asymmetry ratio ${\cal A}_{\rm CP} = {\rm Br}_{-}/{\rm
Br}_{+}$ for such decays, in the scenario with two different on-shell
neutrinos. If $N$ is Dirac, only the lepton number conserving (LC) decays
contribute (LC: $\nu= {\nu}_e$ or ${\bar \nu}_e$); if $N$ is Majorana, both LC
and lepton number violating (LV) decays contribute (LV: $\nu={\bar \nu}_{\mu}$
or $\nu={\nu}_{\mu}$). The results show that the CP asymmetry ${\cal A}_{\rm
CP}$ is in general very small, but increases and becomes $\sim 1$ when the
masses of the two intermediate neutrinos get closer to each other, i.e., when
their mass difference becomes comparable with their decay width, $\Delta M_N
\not\gg \Gamma_N$. The observation of CP violation in pion decays would be
consistent with the existence of the well-motivated $\nu$MSM model with two
almost degenerate heavy neutrinos.


title: On the distance between probability density functions

abstract:
  We give estimates of the distance between the densities of the laws of two
functionals $F$ and $G$ on the Wiener space in terms of the Malliavin-Sobolev
norm of $F-G.$ We actually consider a more general framework which allows one
to treat with similar (Malliavin type) methods functionals of a Poisson point
measure (solutions of jump type stochastic equations). We use the above
estimates in order to obtain a criterion which ensures that convergence in
distribution implies convergence in total variation distance; in particular, if
the functionals at hand are absolutely continuous, this implies convergence in
$L^{1}$ of the densities.


title: P\'olya-Vinogradov and the least quadratic nonresidue

abstract:
  It is well-known that cancellation in short character sums (e.g. Burgess'
estimates) yields bounds on the least quadratic nonresidue. Scant progress has
been made on short character sums since Burgess' work, so it is desirable to
find a new approach to nonresidues. The goal of this note is to demonstrate a
new line of attack via long character sums, a currently active area of
research. Among other results, we demonstrate that improving the constant in
the P\'{o}lya-Vinogradov inequality would lead to significant progress on
nonresidues. Moreover, conditionally on a conjecture on long character sums, we
show that the least nonresidue for any odd primitive character (mod $k$) is
bounded by $(\log k)^{1.4}$.


title:
Classification of Invariant Differential Operators for Non-Compact Lie
  Algebras via Parabolic Relations

abstract:
  In the present paper we review the progress of the project of classification
and construction of invariant differential operators for non-compact semisimple
Lie groups. Our starting points is the class of algebras, which we called
earlier 'conformal Lie algebras' (CLA), which have very similar properties to
the conformal algebras of Minkowski space-time, though our aim is to go beyond
this class in a natural way. For this we introduced recently the new notion of
{\it parabolic relation} between two non-compact semisimple Lie algebras $\cal
G$ and $\cal G'$ that have the same complexification and possess maximal
parabolic subalgebras with the same complexification. Thus, we consider the
exceptional algebra $E_{7(7)}$ which is parabolically related to the CLA
$E_{7(-25)}$. Other interesting examples are the orthogonal algebras $so(p,q)$
all of which are parabolically related to the conformal algebra $so(n,2)$ with
$p+q=n+2$, the parabolic subalgebras including the Lorentz subalgebra
$so(n-1,1)$ and its analogs $so(p-1,q-1)$. Further we consider the algebras
$sl(2n,R)$ and for $n=2k$ the algebras $su^*(4k)$ which are parabolically
related to the CLA $su(n,n)$. Further we consider the algebras $sp(r,r)$ which
are parabolically related to the CLA $sp(2r,R)$. We consider also $E_{6(6)}$
and $E_{6(2)}$ which are parabolically related to the hermitian symmetric case
$E_{6(-14)}$.


title:
Selective transfer of superposition of coherent states by exploiting a
  cavity QED system

abstract:
  We propose a scheme on the basis of a N+2 identical single-mode
coupled-cavity QED system for selective transfer of a qubit constructed from
superposition of standard coherent states. The cavities arranged in such way
that the intermediate or channel cavity is connected uniformly to the sender
and N receiver cavities. We consider N different ternary sets of identical QDs
whose QDs have been distributed in the sender, channel and one of the receiver
cavities respectively. We demonstrate a situation in which the dynamics of the
system is confined selectively in a sub sector belongs to one of the ternary
set of QDs. This selective dynamics is able to transfer the coherent
state-constructed qubit (CSCQ) from the sender party to the desired receiver
one reliably. Also, we illustrate that the scheme is optimally robust due to
dissipations arises from photon losses in the cavities.


title: Large-N mesons

abstract:
  We present an update of our project of computing the meson spectrum and decay
constants in large-N QCD. The results are obtained in the quenched
approximation with the Wilson fermion action for N = 2, 3, 4, 5, 6, 7 and 17
and extrapolated to infinite N. We non-perturbatively determine the
renormalization factors for local quark bilinears that are needed to compute
the decay constants. We extrapolate our SU(7) results to the continuum limit,
employing four different lattice spacings.


title: Gravitational collapse and thermalization in the hard wall model

abstract:
  We study a simple example of holographic thermalization in a confining field
theory: the homogeneous injection of energy in the hard wall model. Working in
an amplitude expansion, we find black brane formation for sufficiently fast
energy injection and a scattering wave solution for sufficiently slow
injection. We comment on our expectations for more sophisticated holographic
QCD models.


title: Measurement and dephasing of a flux qubit due to heat currents

abstract:
  We study a flux qubit, made of a superconducting loop interrupted by three
Josephson junctions, which is subject to a temperature gradient. We show that
the heat current induced by the temperature gradient, being sensitive to the
superconducting phase differences at the junctions, depends significantly on
the state of the qubit. We furthermore investigate the impact of the heat
current on the coherence properties of the qubit state. We have found that even
small temperature gradients can lead to dephasing times of the order of
microseconds for the Delft-qubit design.


title:
Dynamic coupling design for nonlinear output agreement and time-varying
  flow control

abstract:
  This paper studies the problem of output agreement in networks of nonlinear
dynamical systems under time-varying disturbances, using dynamic diffusive
couplings. Necessary conditions are derived for general networks of nonlinear
systems, and these conditions are explicitly interpreted as conditions relating
the node dynamics and the network topology. For the class of incrementally
passive systems, necessary and sufficient conditions for output agreement are
derived. The approach proposed in the paper lends itself to solve flow control
problems in distribution networks. As a first case study, the internal model
approach is used for designing a controller that achieves an optimal routing
and inventory balancing in a dynamic transportation network with storage and
time-varying supply and demand. It is in particular shown that the time-varying
optimal routing problem can be solved by applying an internal model controller
to the dual variables of a certain convex network optimization problem. As a
second case study, we show that droop-controllers in microgrids have also an
interpretation as internal model controllers.


title: Moduli of real pointed quartic curves

abstract:
  We describe a natural open stratum in the moduli space of smooth real pointed
quartic curves in the projective plane. This stratum consists of real
isomorphism classes of pairs $(C, p)$ with $p$ a real point on the curve $C$
such that the tangent line at $p$ intersects the curve in two distinct points
besides $p$. We will prove that this stratum consists of $20$ connected
components. Each of these components has a real toric structure defined by an
involution in the Weyl group of type $E_7$.


title: A thick-thin decomposition of $J$-holomorphic curves

abstract:
  We show the existence of a thick thin decomposition of the domain of a pseudo
holomorphic curve with boundary. The geometry of the thick part is bounded
uniformly in the energy. Furthermore, in the thick part, there is a uniform
bound on the differential which is exponential in the energy. The thin part
consists of annuli of small energy the number of which is at most linear in the
energy and genus. The decomposition can be seen as a quantitative version of
Gromov compactness which applies before passing to the limit.


title: Time evolution as refining, coarse graining and entangling

abstract:
  We argue that refining, coarse graining and entangling operators can be
obtained from time evolution operators. This applies in particular to geometric
theories, such as spin foams. We point out that this provides a construction
principle for the physical vacuum in quantum gravity theories and more
generally allows to construct a (cylindrically) consistent continuum limit of
the theory.


title: Some remarks on MCMC estimation of spectra of integral operators

abstract:
  We prove a law of large numbers for empirical approximations of the spectrum
of a kernel integral operator by the spectrum of random matrices based on a
sample drawn from a Markov chain, which complements the results by V.
Koltchinskii and E. Gin\'{e} for i.i.d. sequences. In a special case of
Mercer's kernels and geometrically ergodic chains, we also provide exponential
inequalities, quantifying the speed of convergence.


title: On finite energy monopole solutions in Weinberg-Salam model

abstract:
  We study the problem of existence of finite energy monopole solutions in the
Weinberg-Salam model starting with a most general ansatz for static
axially-symmetric electroweak magnetic fields. The ansatz includes an explicit
construction of field configurations with various topologies described by the
monopole and Hopf charges. We introduce a unique SU(2) gauge invariant
definition for the electromagnetic field. It has been proved that the magnetic
charge of any finite energy monopole solution must be screened at far distance.
This implies non-existence of finite energy monopole solutions with a non-zero
total magnetic charge. In a case of a special axially-symmetric
Dashen-Hasslacher-Neveu ansatz we revise the structure of the sphaleron
solution and show that sphaleron represents a non-trivial system of monopole
and antimonopole with their centers located in one point. This is different
from the known interpretation of the sphaleron as a monopole-antimonopole pair
like Nambu's "dumb-bell". In general, the axially-symmetric magnetic field may
admit a helical structure. We conjecture that such a solution exists and
estimate an upper bound for its energy, E_{bound}=4.65 TeV.


title: Embeddings of Riemannian manifolds with heat kernels and eigenfunctions

abstract:
  We show that any closed n-dimensional Riemannian manifold can be embedded by
a map constructed from heat kernels at a certain time from a finite number of
points. Both this time and this number can be bounded in terms of the
dimension, a lower bound on the Ricci curvature, the injectivity radius and the
volume. It follows that the manifold can be embedded by a finite number of
eigenfunctions of the Laplace operator. Again, this number only depends on the
geometric bounds and the dimension. In addition, both maps can be made
arbitrarily close to an isometry. In the appendix, we derive quantitative
estimates of the harmonic radius, so that the estimates on the number of
eigenfunctions or heat kernels needed can be made quantitative as well.


title:
Global existence results for some viscoelastic models with an integral
  constitutive law

abstract:
  We provide a proof of global regularity of solutions of some models of
viscoelastic flow with an integral constitutive law, in the two spatial
dimensions and in a periodic domain. Models that are included in these results
are classical models for flow memory: for instance some K-BKZ models, the PSM
model or the Wagner model. The proof is based on the fact that these models
naturally give a $L^\infty$-bound on the stress and that they allow to control
the spatial gradient of the stress. The main result does not cover the case of
the Oldroyd-B model.


title:
Neptune at Summer Solstice: Zonal Mean Temperatures from Ground-Based
  Observations 2003-2007

abstract:
  Imaging and spectroscopy of Neptune's thermal infrared emission is used to
assess seasonal changes in Neptune's zonal mean temperatures between Voyager-2
observations (1989, heliocentric longitude Ls=236) and southern summer solstice
(2005, Ls=270). Our aim was to analyse imaging and spectroscopy from multiple
different sources using a single self-consistent radiative-transfer model to
assess the magnitude of seasonal variability. Globally-averaged stratospheric
temperatures measured from methane emission tend towards a quasi-isothermal
structure (158-164 K) above the 0.1-mbar level, and are found to be consistent
with spacecraft observations of AKARI. This remarkable consistency, despite
very different observing conditions, suggests that stratospheric temporal
variability, if present, is $\pm$5 K at 1 mbar and $\pm$3 K at 0.1 mbar during
this solstice period. Conversely, ethane emission is highly variable, with
abundance determinations varying by more than a factor of two. The retrieved
C2H6 abundances are extremely sensitive to the details of the T(p) derivation.
Stratospheric temperatures and ethane are found to be latitudinally uniform
away from the south pole (assuming a latitudinally-uniform distribution of
stratospheric methane). At low and midlatitudes, comparisons of synthetic
Voyager-era images with solstice-era observations suggest that tropospheric
zonal temperatures are unchanged since the Voyager 2 encounter, with cool
mid-latitudes and a warm equator and pole. A re-analysis of Voyager/IRIS 25-50
{\mu}m mapping of tropospheric temperatures and para-hydrogen disequilibrium
suggests a symmetric meridional circulation with cold air rising at
mid-latitudes (sub-equilibrium para-H2 conditions) and warm air sinking at the
equator and poles (super-equilibrium para-H2 conditions). The most significant
atmospheric changes are associated with the polar vortex (absent in 1989).


title: On the convergence of output sets of quantum channels

abstract:
  We study the asymptotic behavior of the output states of sequences of quantum
channels. Under a natural assumption, we show that the output set converges to
a compact convex set, clarifying and substantially generalizing results in
[BCN13]. Random mixed unitary channels satisfy the assumption; we give a
formula for the asymptotic maximum output infinity norm and we show that the
minimum output entropy and the Holevo capacity have a simple relation for the
complementary channels. We also give non-trivial examples of sequences $\Phi_n$
such that along with any other quantum channel $\Xi$, we have convergence of
the output set of $\Phi_n$ and $\Phi_n\otimes \Xi$ simultaneously; the case
when $\Xi$ is entanglement breaking is investigated in details.

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


title: Cotlar's ergodic theorem along the prime numbers

abstract:
  The aim of this paper is to prove Cotlar's ergodic theorem modeled on the set
of primes.


title: Large amplitude pairing fluctuations in atomic nuclei

abstract:
  Pairing fluctuations are self-consistently incorporated on the same footing
as the quadrupole deformations in present state of the art calculations
including particle number and angular momentum conservation as well as
configuration mixing. The approach is complemented by the use of the finite
range density dependent Gogny force which, with a unique source for the
particle-hole and particle-particle interactions, guarantees a self-consistent
interplay in both channels.
  We have applied our formalism to study the role of the pairing degree of
freedom in the description of the most relevant observables like spectra,
transition probabilities, separation energies, etc. We find that the inclusion
of pairing fluctuations mostly affects the description of excited states,
depending on the excitation energy and the angular momentum. $E0$ transition
probabilities experiment rather big changes while $E2$'s are less affected.
  Genuine pairing vibrations are thoroughly studied with the conclusion that
deformations strongly inhibits their existence. These studies have been
performed for a selection of nuclei: spherical, deformed and with different
degree of collectivity.


title: Statistically interacting vacancy particles

abstract:
  The equilibrium statistical mechanics of one-dimensional lattice gases with
interactions of arbitrary range and shape between first-neighbor atoms is
solved exactly on the basis of statistically interacting vacancy particles. Two
sets of vacancy particles are considered. In one set all vacancies are of
one-cell size. In the other set the sizes of vacancy particles match the
separation between atoms. Explicit expressions are obtained for the Gibbs free
energy and the distribution of spaces between atoms at thermal equilibrium.
Applications to various types of interaction potentials are discussed,
including long-range potentials that give rise to phase transitions. Extensions
to hard rod systems are straightforward and are shown to agree with existing
results for lattice models and their continuum limits.


title:
Lipschitz $\left(\mathfrak{m}^L\left(s;q\right),p\right)$ and
  $\left(p,\mathfrak{m}^L\left(s;q\right)\right)-$summing maps

abstract:
  Building upon the linear version of mixed summable sequences in arbitrary
Banach spaces of A. Pietsch, we introduce a nonlinear version of his concept
and study its properties. Extending previous work of J. D. Farmer, W. B.
Johnson and J. A. Ch\'avez-Dom\'inguez, we define Lipschitz
$\left(\mathfrak{m}^L\left(s;q\right),p\right)$ and Lipschitz
$\left(p,\mathfrak{m}^L\left(s;q\right)\right)-$summing maps and establish
inclusion theorems, composition theorems and several characterizations.
Furthermore, we prove that the classes of Lipschitz
$\left(r,\mathfrak{m}^L\left(r;r\right)\right)-$summing maps with $0<r<1$
coincide. We obtain that every Lipschitz map is Lipschitz
$\left(p,\mathfrak{m}^L\left(s;q\right)\right)-$summing map with $1\leq s< p$
and $0<q\leq s$ and discuss a sufficient condition for a Lipschitz composition
formula as in the linear case of A. Pietsch. Moreover, we discuss a
counterexample of the nonlinear composition formula, thus solving a problem by
J. D. Farmer and W. B. Johnson.


title:
High-resolution ammonia mapping of the very young protostellar core
  Chamaeleon-MMS1

abstract:
  Cha-MMS1 was mapped in the NH_3(1,1) line and the 1.2 cm continuum using the
Australia Telescope Compact Array, ATCA. The angular resolution of the ATCA
observations is 7'' (~ 1000 AU), and the velocity resolution is 50 m s^{-1}.
The core was also mapped with the 64-m Parkes telesope in the NH_3(1,1) and
(2,2) lines. Observations from Herschel Space Observatory and Spitzer Space
telescope were used to help interpretation. A compact high column density core
with a steep velocity gradient is detected in ammonia, with a fractional
ammonia abundance compatible with determinations towards other dense cores. The
direction of the velocity gradient agrees with previous single-dish
observations, and the overall velocity distribution can be interpreted as
rotation. The rotation axis goes through the position of a compact far-infrared
source detected by Spitzer and Herschel. The specific angular momentum of the
core is typical for protostellar envelopes. A string of 1.2 cm continuum
sources is tentatively detected near the rotation axis. The ammonia spectra
suggest the presence of warm embedded gas in its vicinity. An hourglass-shaped
structure is seen in ammonia at the cloud's average LSR velocity, also aligned
with the rotation axis. Although this structure resembles a pair of outflow
lobes the ammonia spectra show no indications of shocked gas. The observed
ammonia structure mainly delineates the inner envelope around the central
source. The velocity gradient is likely to originate in the angular momentum of
the contracting core, although influence of the outflow from the neighbouring
young star IRS4 is possibly visible on one side of the core. The tentative
continuum detection and the indications of a warm background component near the
rotation axis suggest that the core contains a deeply embedded outflow which
may have been missed in previous single-dish CO surveys owing to beam dilution.