title:
Equivalence between fractional exclusion statistics and self-consistent
  mean-field theory in interacting particle systems in any number of dimensions

abstract:
  We describe a mean field interacting particle system in any number of
dimensions and in a generic external potential as an ideal gas with fractional
exclusion statistics (FES). We define the FES quasiparticle energies, we
calculate the FES parameters of the system and we deduce the equations for the
equilibrium particle populations. The FES gas is "ideal", in the sense that the
quasiparticle energies do not depend on the other quasiparticle levels
populations and the sum of the quasiparticle energies is equal to the total
energy of the system. We prove that the FES formalism is equivalent to the
semi-classical or Thomas Fermi limit of the self-consistent mean-field theory
and the FES quasiparticle populations may be calculated from the Landau
quasiparticle populations by making the correspondence between the FES and the
Landau quasiparticle energies. The FES provides a natural semi-classical ideal
gas description of the interacting particle gas.


title: Simple crystallizable bead-spring polymer model

abstract:
  We develop a simple coarse-grained bead-spring polymer model exhibiting
competing crystallization and glass transitions. For quench rates slower than
the critical nucleation rate $|\dot{T}|_{crit}$, systems exhibit a first-order
crystallization transition below a critical temperature $T=T_{cryst}$. Such
systems form close-packed crystallites of FCC and/or HCP order, separated by
domain walls, twin defects, and an amorphous interphase. The size of amorphous
regions grows continuously as the quench rate $|\dot{T}|$ increases, producing
nearly amorphous structure for $|\dot{T}|>|\dot{T}|_{crit}$. Our model exhibits
many features observed in recent studies of crystallization of athermal polymer
packings, but also critical differences arising from the softness of the pair
interactions and the thermal nature of the phase transition. The model is
considerably more computationally efficient than other recent crystallizable
coarse-grained polymer models; while it sacrifices some features of real
semicrystalline polymers (such as lamellar structure and chain
disentanglement), we anticipate that it will serve as a useful model for
studying generic features related to semicrystalline order in polymer solids.


title: Insights Into AGN and Host Galaxy Co-evolution From Hard X-ray Emission

abstract:
  We study the AGN-host co-evolution issue here by focusing on the correlation
between the hard X-ray emission from central AGNs and the stellar populations
of the host galaxies. By focusing on the galaxies with strong H$\alpha$ line
emission (EW(H$\alpha)>5$\AA), both X-ray and optical spectral analysis are
performed on 67 (partially) obscured AGNs that are selected from the \it
XMM-Newton\rm\ 2XMMi/SDSS-DR7 catalog originally cross-matched by Pineau et al.
The sample allows us to study central AGN activity and host galaxy directly and
simultaneously in individual objects. Combining the spectral analysis in both
bands reveals that the older the stellar population of the host galaxy, the
harder the X-ray emission will be, which was missed in our previous study where
the \it ROSAT\rm\ hardness ratios are used. By excluding the contamination from
the host galaxies and from the jet beaming emission, the correlation indicates
that the Compton cooling in the accretion disk corona decreases with the mean
age of the stellar population. We argue that the correlation is related to the
correlation of $L/L_{\mathrm{Edd}}$ with the host stellar population. In
addition, the [\ion{O}{1}]/H$\alpha$ and [\ion{S}{2}]/H$\alpha$ narrow-line
ratios are identified to correlate with the spectral slope in hard X-ray, which
can be inferred from the currently proposed evolution of the X-ray emission
because of the confirmed tight correlations between the two line ratios and
stellar population age.


title: Inner uniform domains and the Apollonian inner metric

abstract:
  In this paper, we characterize inner uniform domains in $\IR^n$ in terms of
Apollonian inner metric and the metric $j'_D$ when $D$ are Apollonian. As an
application, a new characterization for $A$-uniform domains is obtained.


title: Cinderella, quadrilaterals and conics

abstract:
  We study quadrilaterals inscribed and circumscribed about conics. Our
research is guided by experiments in software Cinderella. We extend the known
results in projective geometry of conics and show how modern mathematical
software brings new ideas in pure and applied mathematics. Poncelet theorem for
quadrilaterals is proved by elementary means together with Poncelet's grid
property.


title:
Scattering Rates For Leptogenesis: Damping of Lepton Flavour Coherence
  and Production of Singlet Neutrinos

abstract:
  Using the Closed-Time-Path approach, we perform a systematic leading order
calculation of the relaxation rate of flavour correlations of left-handed
Standard Model leptons. This quantity is of pivotal relevance for flavoured
Leptogenesis in the Early Universe, and we find it to be 5.19*10^-3 T at T=10^7
GeV and 4.83*10^-3 T at T=10^13 GeV. These values apply to the Standard Model
with a Higgs-boson mass of 125 GeV. The dependence of the numerical coefficient
on the temperature T is due to the renormalisation group running. The leading
linear and logarithmic dependencies of the flavour relaxation rate on the gauge
and top-quark couplings are extracted, such that the results presented in this
work can readily be applied to extensions of the Standard Model. We also derive
the production rate of light (compared to the temperature) sterile right-handed
neutrinos, a calculation that relies on the same methods. We confirm most
details of earlier results, but find a substantially larger contribution from
the t-channel exchange of fermions.


title:
Emptiness formation probability, Toeplitz determinants, and conformal
  field theory

abstract:
  We revisit the study of the emptiness formation probability, the probability
of forming a sequence of $\ell$ spins with the same ferromagnetic orientation
in the ground-state of a quantum spin chain. We focus on two different
examples, exhibiting strikingly different behavior: the XXZ and Ising chains.
One has a conserved number of particles, the other does not. In the latter we
show that the sequence of fixed spins can be viewed as an additional boundary
in imaginary time. We then use conformal field theory (CFT) techniques to
derive all universal terms in its scaling, and provide checks in free fermionic
systems. These are based on numerical simulations or, when possible,
mathematical results on the asymptotic behavior of Toeplitz and Toeplitz+Hankel
determinants. A perturbed CFT analysis uncovers an interesting $\ell^{-1}\log
\ell$ correction, that also appears in the closely related spin full counting
statistics. The XXZ case turns out to be more challenging, as scale invariance
is broken. We use a simple qualitative picture in which the ferromagnetic
sequence of spins freezes all degrees of freedom inside of a certain "arctic"
region, that we determine numerically. We also provide numerical evidence for
the existence of universal logarithmic terms, generated by the massless field
theory living outside of the arctic region.

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


title: Static meson correlators in 2+1 flavor QCD at non-zero temperature

abstract:
  We study correlation functions of various static meson operators of size r at
non-zero temperature in 2+1 flavor QCD, including Coulomb gauge fixed operators
and Wilson loops with smeared spatial parts. The numerical calculations are
performed on 24^3x6 lattices using highly improved staggered quark action. We
discuss possible implications of our findings on the temperature dependence of
the static energy of QQbar pair.


title:
AMI Observations of the Anomalous Microwave Emission in the Perseus
  Molecular Cloud

abstract:
  We present observations of the known anomalous microwave emission region,
G159.6-18.5, in the Perseus molecular cloud at 16 GHz performed with the
Arcminute Microkelvin Imager Small Array. These are the highest angular
resolution observations of G159.6-18.5 at microwave wavelengths. By combining
these microwave data with infrared observations between 5.8 and 160 \mu m from
the Spitzer Space Telescope, we investigate the existence of a microwave -
infrared correlation on angular scales of ~2 arcmin. We find that the overall
correlation appears to increase towards shorter infrared wavelengths, which is
consistent with the microwave emission being produced by electric dipole
radiation from small, spinning dust grains. We also find that the microwave -
infrared correlation peaks at 24 \mu m (6.7\sigma), suggesting that the
microwave emission is originating from a population of stochastically heated
small interstellar dust grains rather than polycyclic aromatic hydrocarbons.


title:
Spectral Representation of Some Computably Enumerable Sets With an
  Application to Quantum Provability

abstract:
  We propose a new type of quantum computer which is used to prove a spectral
representation for a class F of computable sets. When S in F codes the theorems
of a formal system, the quantum computer produces through measurement all
theorems and proofs of the formal system. We conjecture that the spectral
representation is valid for all computably enumerable sets. The conjecture
implies that the theorems of a general formal system, like Peano Arithmetic or
ZFC, can be produced through measurement; however, it is unlikely that the
quantum computer can produce the proofs as well, as in the particular case of
F. The analysis suggests that showing the provability of a statement is
different from writing up the proof of the statement.


title:
Numerical method for real root isolation of semi-algebraic system and
  its applications

abstract:
  In this paper, based on the homotopy continuation method and the interval
Newton method, an efficient algorithm is introduced to isolate the real roots
of semi-algebraic system.
  Tests on some random examples and a variety of problems including
transcendental functions arising in many applications show that the new
algorithm reduces the cost substantially compared with the traditional symbolic
approaches.


title: A note on tamed Euler approximations

abstract:
  Strong convergence results on tamed Euler schemes, which approximate
stochastic differential equations with superlinearly growing drift coefficients
that are locally one-sided Lipschitz continuous, are presented in this article.
The diffusion coefficients are assumed to be locally Lipschitz continuous and
have at most linear growth. Furthermore, the classical rate of convergence,
i.e. one--half, for such schemes is recovered when the local Lipschitz
continuity assumptions are replaced by global and, in addition, it is assumed
that the drift coefficients satisfy polynomial Lipschitz continuity.


title: Extending the parking space

abstract:
  The action of the symmetric group $S_n$ on the set $Park_n$ of parking
functions of size $n$ has received a great deal of attention in algebraic
combinatorics. We prove that the action of $S_n$ on $Park_n$ extends to an
action of $S_{n+1}$. More precisely, we construct a graded $S_{n+1}$-module
$V_n$ such that the restriction of $V_n$ to $S_n$ is isomorphic to $Park_n$. We
describe the $S_n$-Frobenius characters of the module $V_n$ in all degrees and
describe the $S_{n+1}$-Frobenius characters of $V_n$ in extreme degrees. We
give a bivariate generalization $V_n^{(\ell, m)}$ of our module $V_n$ whose
representation theory is governed by a bivariate generalization of Dyck paths.
A Fuss generalization of our results is a special case of this bivariate
generalization.


title: Contractions of AdS brane algebra and superGalileon Lagrangians

abstract:
  We examine AdS Galileon Lagrangians using the method of non-linear
realization. By contractions 1) flat curvature limit and 2) non-relativistic
brane algebra limit and 3) (1)+(2) limits we obtain DBI, Newton-Hoock and
Galilean Galileons respectively. We make clear how these Lagrangians appear as
invariant 4-forms and/or pseudo-invariant Wess-Zumino terms using Maurer-Cartan
equations on the coset $G/SO(3,1)$. We show the equations of motion are written
in terms of the MC forms only and explain why the inverse Higgs condition is
obtained as the equation of motion for all cases.
  The supersymmetric extension is also examined using SU(2,2|1)/(SO(3,1)x U(1))
supercoset and five WZ forms are constructed. They are reduced to the
corresponding five Galileon WZ forms in the bosonic limit and are candidates of
for supersymmetric Galileon.


title:
Spin and Spectral Variations of Peculiar High-Mass X-ray Binary 4U
  2206+54

abstract:
  Spin properties and spectral variations of high mass X-ray binary 4U 2206+54
are studied with long-term hard X-ray monitoring observations by INTEGRAL. A
long-period X-ray pulsar of P_spin\sim 5558 s has been identified in 4U
2206+54. The spin evolution of the neutron star in 4U 2206+54 is detected with
the INTEGRAL/IBIS data. From 2005 to 2011, the spin period of the neutron star
in 4U 2206+54 varies from \sim 5558 s to 5588 s. The average spin-down rate in
the last 20 years is derived as \sim 5\times 10^{-7} s s^{-1}. 4U 2206+54 is a
variable source with luminosities of \sim 10^{35} - 10^{36} erg s^{-1} in the
range of 3 -- 100 keV. Its spectrum can be described by an absorbed power-law
model with exponential rolloff. The hydrogen column density and photon index
show the anti-correlations with hard X-ray luminosity: low column density and
small photon index at maximum of luminosity. This spectral variation pattern
suggests that 4U 2206+54 would be a highly obscured binary system. Furthermore,
the possible cyclotron line features are searched for in the spectra of
different luminosities. The possible cyclotron absorption feature around 30 keV
is not confirmed in our work. The physical origin and evolutional track of this
very slow pulsation neutron star are still unclear. We suggest that 4U 2206+54
would be a young system with the long-term spin-down trend, would evolve to a
longer spin period range and transit to the spin-up phase similar to 2S
0114+65. These very slow pulsation X-ray pulsars would belong to a new class of
compact objects -- accreting magnetars.


title: Sparse Projections of Medical Images onto Manifolds

abstract:
  Manifold learning has been successfully applied to a variety of medical
imaging problems. Its use in real-time applications requires fast projection
onto the low-dimensional space. To this end, out-of-sample extensions are
applied by constructing an interpolation function that maps from the input
space to the low-dimensional manifold. Commonly used approaches such as the
Nystr\"{o}m extension and kernel ridge regression require using all training
points. We propose an interpolation function that only depends on a small
subset of the input training data. Consequently, in the testing phase each new
point only needs to be compared against a small number of input training data
in order to project the point onto the low-dimensional space. We interpret our
method as an out-of-sample extension that approximates kernel ridge regression.
Our method involves solving a simple convex optimization problem and has the
attractive property of guaranteeing an upper bound on the approximation error,
which is crucial for medical applications. Tuning this error bound controls the
sparsity of the resulting interpolation function. We illustrate our method in
two clinical applications that require fast mapping of input images onto a
low-dimensional space.


title: An investigation of the tangent splash of a subplane of PG(2,q^3)

abstract:
  In $PG(2,q^3)$, let $\pi$ be a subplane of order $q$ that is tangent to
$\ell_infty$. The tangent splash of $\pi$ is defined to be the set of $q^2+1$
points on $\ell_infty$ that lie on a line of $\pi$. This article investigates
properties of the tangent splash. We show that all tangent splashes are
projectively equivalent, investigate sublines contained in a tangent splash,
and consider the structure of a tangent splash in the Bruck-Bose representation
of $PG(2,q^3)$ in $PG(6,q)$. We show that a tangent splash of $PG(1,q^3)$ is a
$GF(q)$-linear set of rank 3 and size $q^2+1$; this allows us to use results
about linear sets from \cite{lavr10} to obtain properties of tangent splashes.


title:
Pinball dynamics: unlimited energy growth in switching Hamiltonian
  systems

abstract:
  A family of discontinuous symplectic maps on the cylinder is considered. This
family arises naturally in the study of nonsmooth Hamiltonian dynamics and in
switched Hamiltonian systems. The transformation depends on two parameters and
is a canonical model for the study of bounded and unbounded behavior in
discontinuous area-preserving mappings due to nonlinear resonances. This paper
provides a general description of the map and points out its connection with
another map considered earlier by Kesten. In one special case, an unbounded
orbit is explicitly constructed.


title: Compton scattering off massive fundamental bosons of pure spin 1

abstract:
  Relativistic particles with spins $J>0$ are described by means of
multicomponent wave functions which transform covariantly according to
Lorentz-group representations that contain at rest the spin of interest. The
symmetry group of space-time provides not one but an infinity of such
representations which are equivalent for free particles but yield different
electromagnetic couplings upon gauging; thus the challenge is to develop
criteria which allow us to select those of them which relate to physically
detectable particles. We here take the position that the unitarity of the
Compton scattering cross sections in the ultrarelativistic limit, when
predicted by a consistent method for a spin-$1$ description, could provide such
a criterion. We analyze the properties of massive fundamental spin-$1$ bosons
transforming as antisymmetric tensors of second rank, $(1,0)\oplus(0,1)$. For
this purpose, we employ the Poincar\'e covariant projector method, which
provides consistent, causal, and representation specific Lagrangians. This
formalism yields a twofold extension of the Proca Lagrangian for the
description of spin-$1$ bosons, first from an in-built $g=1$ value of the
gyromagnetic ratio to an unspecified $g\not=1$, and from, single-parity, to
parity-doublet degrees of freedom. We find different results for Compton
scattering in these theories and track the differences to the lack of
universality of the vector-antisymmetric-tensor equivalence theorem which is
specific only to Proca's framework, and valid for $g=1$, while it is violated
within the covariant projector formalism. Our main result is that a finite
Compton scattering differential cross section in the ultrarelativistic limit
requires us to consider the contributions of both parities in
$(1,0)\oplus(0,1)$. On that basis, we conclude that massive spin-$1$ bosons
transforming as antisymmetric tensors are physical parity doublets.


title: A projection formula for the ind-Grassmannian

abstract:
  Let $X = \bigcup_k X_k$ be the ind-Grassmannian of codimension $n$ subspaces
of an infinite-dimensional torus representation. If $\cE$ is a bundle on $X$,
we expect that $\sum_j (-1)^j \Lambda^j(\cE)$ represents the $K$-theoretic
fundamental class $[\cO_Y]$ of a subvariety $Y \subset X$ dual to $\cE^*$. It
is desirable to lift a $K$-theoretic "projection formula" from the
finite-dimensional subvarieties $X_k$, but such a statement requires switching
the order of the limits in $j$ and $k$. We find conditions in which this may be
done, and consider examples in which $Y$ is the Hilbert scheme of points in the
plane, the Hilbert scheme of an irreducible curve singularity, and the affine
Grassmannian of $SL(2,\C)$. In the last example, the projection formula becomes
an instance of the Weyl-Ka\c{c} character formula, which has long been
recognized as the result of formally extending Borel-Weil theory and
localization to $Y$ \cite{S}. See also \cite{C3} for a proof of the MacDonald
inner product formula of type $A_n$ along these lines.


title:
Parameters Optimization for Improving ASR Performance in Adverse Real
  World Noisy Environmental Conditions

abstract:
  From the existing research it has been observed that many techniques and
methodologies are available for performing every step of Automatic Speech
Recognition (ASR) system, but the performance (Minimization of Word Error
Recognition-WER and Maximization of Word Accuracy Rate- WAR) of the methodology
is not dependent on the only technique applied in that method. The research
work indicates that, performance mainly depends on the category of the noise,
the level of the noise and the variable size of the window, frame, frame
overlap etc is considered in the existing methods. The main aim of the work
presented in this paper is to use variable size of parameters like window size,
frame size and frame overlap percentage to observe the performance of
algorithms for various categories of noise with different levels and also train
the system for all size of parameters and category of real world noisy
environment to improve the performance of the speech recognition system. This
paper presents the results of Signal-to-Noise Ratio (SNR) and Accuracy test by
applying variable size of parameters. It is observed that, it is really very
hard to evaluate test results and decide parameter size for ASR performance
improvement for its resultant optimization. Hence, this study further suggests
the feasible and optimum parameter size using Fuzzy Inference System (FIS) for
enhancing resultant accuracy in adverse real world noisy environmental
conditions. This work will be helpful to give discriminative training of
ubiquitous ASR system for better Human Computer Interaction (HCI).


title:
Superradiance and statistical entropy of hairy black hole in three
  dimensions

abstract:
  We calculate the statistical entropy of a rotating hairy black hole by taking
into account superradiant modes in the brick wall method. The UV cutoff is
independent of the gravitational hair, which gives the well-defined area law of
the entropy. It can be shown that the angular momentum and the energy of matter
field depend on the gravitational hair. For the vanishing gravitational hair,
it turns out that the energy for matter is related to both the black hole mass
and the black hole angular momentum whereas the angular momentum for matter
field is directly proportional to the angular momentum of the black hole.


title: Adverse Conditions and ASR Techniques for Robust Speech User Interface

abstract:
  The main motivation for Automatic Speech Recognition (ASR) is efficient
interfaces to computers, and for the interfaces to be natural and truly useful,
it should provide coverage for a large group of users. The purpose of these
tasks is to further improve man-machine communication. ASR systems exhibit
unacceptable degradations in performance when the acoustical environments used
for training and testing the system are not the same. The goal of this research
is to increase the robustness of the speech recognition systems with respect to
changes in the environment. A system can be labeled as environment-independent
if the recognition accuracy for a new environment is the same or higher than
that obtained when the system is retrained for that environment. Attaining such
performance is the dream of the researchers. This paper elaborates some of the
difficulties with Automatic Speech Recognition (ASR). These difficulties are
classified into Speakers characteristics and environmental conditions, and
tried to suggest some techniques to compensate variations in speech signal.
This paper focuses on the robustness with respect to speakers variations and
changes in the acoustical environment. We discussed several different external
factors that change the environment and physiological differences that affect
the performance of a speech recognition system followed by techniques that are
helpful to design a robust ASR system.


title:
Quantum effects in the interaction of off-resonant coherent light with a
  single atom

abstract:
  Well controlled nonlinear interactions between light field pulses and single
atoms could be used to implement optical quantum information technologies based
on qubits encoded in superpositions of coherent states of light. Here, we
investigate the transformation of a coherent light field input at a single atom
sufficiently far from resonance to limit the decoherence effects associated
with random excitations of the atom. The conditions for suppressing
multi-photon scattering to implement arbitrarily large shifts of the coherent
light amplitude without decoherence are studied. It is shown that quantum
controlled coherent shifts can be achieved by sufficiently long coherent
pulses, indicating the possibility of generating superpositions of coherent
states with large amplitude differences. The dominant multi-photon scattering
effect associated with four wave mixing is also identified, and the spectral
and temporal characteristics of the entangled photon pairs generated by this
process are discussed.


title:
Nuclear transparency effect of $\pi^{-}$-mesons in p+$^{12}$C- and
  d+$^{12}$C- interactions at 4.2A GeV/c

abstract:
  The use of nuclear transparency effect of \pi^{-}-mesons in proton, and
deuteron induced interactions with carbon nuclei at 4.2A GeV/c, to get
information about the properties of nuclear matter, is presented in this work.
Half angle (\theta_{1/2}) technique is used to extract information on nuclear
transparency effect. The \theta_{1/2} divides the multiplicity of charged
particles into two equal parts depending on their polar angle in the lab. frame
in pp interactions. Particles with angle smaller than (incone particles) and
greater than (outcone particles) \theta_{1/2} are considered separate. The
average values of multiplicity, momentum and transverse momentum of the
\pi^{-}-mesons are analyzed as a function of a number of identified protons in
an event. We observed evidences in the data which could be considered as
transparency effect. For quantitative analysis, the results are compared with
cascade model. The observed effects are categorized into leading effect
transparency and medium effect transparency. The transparency in the latter
case could be the reason of collective interactions of grouped nucleons with
the incident particles.


title:
Blow-up behavior of solutions to the heat equation with nonlinear
  boundary conditions

abstract:
  We study the asymptotic behavior of blow-up solutions of the heat equation
with nonlinear boundary conditions. In particular, we classify the asymptotic
behavior of blow-up solutions and investigate the spacial singularity of their
blow-up profiles.


title:
Reply to Hunter and Brown Discussion of Is there any support in the long
  term tide gauge data to the claims that parts of Sydney will be swamped by
  rising sea levels?, Coastal Engineering 2012;64:161-167, Coastal Engineering
  2013;75:1-3

abstract:
  Hunter and Brown try to demonstrate in their discussion of the long term tide
gauge data published in my previous paper that the sea levels are accelerating
when they are not. The sea levels are mostly oscillating and certainly not
positively accelerating at the present time. As shown in the graphs proposed
here after, having an understanding of the oscillatory behaviour of sea levels
and by using linear and parabolic fittings but not being selective in the time
window to consider, the tide gauge of Sydney exhibits clear multi decadal and
inter-annual periodicities but no detectable component of acceleration,
similarly to the many others tide gauges of the Pacific or the rest of the
world having enough quality and length. If all the long term tide gauges do not
exhibit any present accelerating pattern, possibly some simulations and
reconstructions may be wrong similarly to the selective assessment of the sea
level rise by fitting only the few years of data useful to support the positive
acceleration claim.


title: Viewing Black Holes by Waves

abstract:
  We study scattering of waves by black holes. Solving a massless scalar field
with a point source in the Schwarzschild spacetime, waves scattered by the
black hole is obtained numerically. We then reconstruct images of the black
hole from scattered wave data for specified scattering angles. For the forward
and the backward directions, obtained wave optical images of black holes show
rings that correspond to the black hole glories associated with existence of
the unstable circular photon orbit in the Schwarzschild spacetime.


title:
Non self-similar blow-up solutions to the heat equation with nonlinear
  boundary conditions

abstract:
  This paper is concerned with finite blow-up solutions of the heat equation
with nonlinear boundary conditions. It is known that a rate of blow-up
solutions is the same as the self-similar rate for a Sobolev subcritical case.
A goal of this paper is to construct a blow-up solution whose blow-up rate is
different from the self-similar rate for a Sobolev supercritical case.


title: The Weak Neutral Current

abstract:
  This is a review of electroweak precision physics with particular emphasis on
low-energy precision measurements in the neutral current sector of the
electroweak theory and includes future experimental prospects and the
theoretical challenges one faces to interpret these observables. Within the
minimal Standard Model they serve as determinations of the weak mixing angle
which are competitive with and complementary to those obtained near the
Z-resonance. In the context of new physics beyond the Standard Model these
measurements are crucial to discriminate between models and to reduce the
allowed parameter space within a given model. We illustrate this for the
minimal supersymmetric Standard Model with or without R-parity.


title:
Bidirectional controlled teleportation by using 5-qubit states: A
  generalized view

abstract:
  Recently bidirectional controlled perfect teleportation using 5-qubit states
are reported in (Int. J. Theor. Phys. (2013) DOI 10.1007/s10773-013-1484-8 and
ibid, (2013) DOI 10.1007/s10773-012-1208-5). In this paper we have shown that
there exists a class of 5-qubit quantum states that can be used for
bidirectional controlled teleportation. Two out of the three reported cases are
the special cases of the proposed class of 5-qubit quantum states and one of
them is not strictly a case of controlled bidirectional quantum teleportation.
Further, we have shown that one can in principle, construct infinitely many
5-qubit quantum states for this purpose. We have also shown that the idea can
be extended to bidirectional controlled probabilistic teleportation. Some
potential applications of the proposed scheme and its modified versions are
also discussed in relation with the implementation of quantum remote control
and quantum cryptography.


title:
Global Network of Optical Magnetometers for Exotic (GNOME): Physics
  Novel scheme for exotic physics searches

abstract:
  A novel experimental scheme enabling investigation of transient exotic spin
couplings is discussed. The scheme is based on synchronous measurements of
optical-magnetometer signals of several devices operating in magnetically
shielded environments in distant locations ($\gtrsim100$ km). Although
signatures of such exotic couplings may be present in the signal from a single
magnetometer, it would be challenging to distinguish them from noise. By
analyzing the correlation between signals from multiple, geographically
separated magnetometers, it is not only possible to identify the exotic
transient but also to investigate its nature. The ability of the network to
probe presently unconstrained physics beyond the Standard Model is examined by
considering the spin coupling to stable topological defects (e.g., domain
walls) of axion-like fields. In the spirit of this research, a brief ($\sim 2$
hours) demonstration experiment involving two magnetometers located in Krak\'ow
and Berkeley ($\sim 9000$ km separation) is presented and discussion of the
data-analysis approaches that may allow for the transient signal identification
is provided. The prospects of the network are outlined in the last part of the
paper.


title: Markov Switching Component ARCH Model: Stability and Forecasting

abstract:
  This paper introduces an extension of the Markov switching GARCH model where
the volatility in each state is a convex combination of two different GARCH
components with time varying weights. This model has the dynamic behavior to
capture the variants of shocks. The asymptotic behavior of the second moment is
investigated and an appropriate upper bound for it is evaluated. The estimation
of the parameters by using the Bayesian method via Gibbs sampling algorithm is
studied. Finally we illustrate the efficiency of the model by simulation and
empirical analysis. We show that this model provides a much better forecast of
the volatility than the Markov switching GARCH model.


title: On active information storage in input-driven systems

abstract:
  Information theory and the framework of information dynamics have been used
to provide tools to characterise complex systems. In particular, we are
interested in quantifying information storage, information modification and
information transfer as characteristic elements of computation. Although these
quantities are defined for autonomous dynamical systems, information dynamics
can also help to get a "wholistic" understanding of input-driven systems such
as neural networks. In this case, we do not distinguish between the system
itself, and the effects the input has to the system. This may be desired in
some cases, but it will change the questions we are able to answer, and is
consequently an important consideration, for example, for biological systems
which perform non-trivial computations and also retain a short-term memory of
past inputs. Many other real world systems like cortical networks are also
heavily input-driven, and application of tools designed for autonomous dynamic
systems may not necessarily lead to intuitively interpretable results.
  The aim of our work is to extend the measurements used in the information
dynamics framework for input-driven systems. Using the proposed input-corrected
information storage we hope to better quantify system behaviour, which will be
important for heavily input-driven systems like artificial neural networks to
abstract from specific benchmarks, or for brain networks, where intervention is
difficult, individual components cannot be tested in isolation or with
arbitrary input data.


title:
Signless laplacian characteristic polynomials of regular graph
  transformations

abstract:
  Let $G$ be a simple $r$-regular graph with $n$ vertices and $m$ vertices. We
give the signless Laplacian characteristic polynomials of $xyz$-transformations
$G^{xyz}$ of $G$ in terms of $n$, $m$, $r$ and the signless Laplacian spectrum
of $G$.


title: What determines the grain size distribution in galaxies?

abstract:
  We construct a dust evolution model taking into account the grain size
distribution, and investigate what kind of dust processes determine the grain
size distribution at each stage of galaxy evolution. In addition to the dust
production by type II supernovae (SNeII) and asymptotic giant branch (AGB)
stars, we consider three processes in the ISM: (i) dust destruction by SN
shocks, (ii) metal accretion onto the surface of preexisting grains in the cold
neutral medium (CNM) (called grain growth), and (iii) grain-grain collisions
(shattering and coagulation) in the warm neutral medium (WNM) and CNM. We found
that the grain size distribution in galaxies is controlled by stellar sources
in the early stage of galaxy evolution, and that afterwards the main processes
that govern the size distribution changes to those in the ISM. Since shattering
produces a large abundance of small grains (consequently, the surface-to-volume
ratio of grains increases), it enhances the efficiency of grain growth,
contributing to the significant increase of the total dust mass. Grain growth
creates a large bump in the grain size distribution around a ~ 0.01 \mu m.
Coagulation occurs effectively after the number of small grains is enhanced by
shattering, and the grain size distribution is deformed to have a bump at a ~
0.03 - 0.05 \mu m at t ~ 10 Gyr. We conclude that the evolutions of the total
dust mass and the grain size distribution in galaxies are closely related to
each other, and the grain size distribution changes considerably through the
galaxy evolution because the dominant dust processes which regulate the grain
size distribution change.


title: Transverse force on a vortex in lattice models of superfluids

abstract:
  The paper derives the transverse forces (the Magnus and the Lorentz forces)
in the lattice models of superfluids in the continuous approximation. The
continuous approximation restores translational invariance absent in the
original lattice model, but the theory is not Galilean invariant. As a result,
calculation of the two transverse forces on the vortex, Magnus force and
Lorentz force, requires the analysis of two balances, for the true momentum of
particles in the lattice (Magnus force) and for the quasimomentum (Lorentz
force) known from the Bloch theory of particles in the periodic potential.
While the developed theory yields the same Lorentz force, which was well known
before, a new general expression for the Magnus force was obtained. The theory
demonstrates how a small Magnus force emerges in the Josephson-junction array
if the particle-hole symmetry is broken. The continuous approximation for the
Bose--Hubbard model close to the superfluid-insulator transition was developed,
which was used for calculation of the Magnus force. The theory shows that there
is an area in the phase diagram for the Bose--Hubbard model, where the Magnus
force has an inverse sign with respect to that which is expected from the sign
of velocity circulation.


title: Qualitative Noise-Disturbance Relation for Quantum Measurements

abstract:
  The inherent connection between noise and disturbance is one of the most
fundamental features of quantum measurements. In the two well-known extreme
cases a measurement either makes no disturbance but then has to be totally
noisy or is as accurate as possible but then has to disturb so much that all
subsequent measurements become redundant.Most of the measurements are, however,
something between these two extremes.We derive a structural relation between
observables and channels that properly explains the trade-off between noise and
disturbance.


title: Autoequivalences of derived categories via geometric invariant theory

abstract:
  We study autoequivalences of the derived category of coherent sheaves of a
variety arising from a variation of GIT quotient. We show that these
automorphisms are spherical twists, and describe how they result from mutations
of semiorthogonal decompositions. Beyond the GIT setting, we show that all
spherical twist autoequivalences of a dg-category can be obtained from mutation
in this manner.
  Motivated by a prediction from mirror symmetry, we refine the recent notion
of "grade restriction rules" in equivariant derived categories. We produce
additional derived autoequivalences of a GIT quotient and propose an
interpretation in terms of monodromy of the quantum connection. We generalize
this observation by proving a criterion under which a spherical twist
autoequivalence factors into a composition of other spherical twists.


title: $N_6$ property for third Veronese embeddings

abstract:
  The rational homology groups of the matching complexes are closely related to
the syzygies of the Veronese embeddings. In this paper we will prove the
vanishing of certain rational homology groups of matching complexes, thus
proving that the third Veronese embeddings satisfy the property $N_6$. This
settles the Ottaviani-Paoletti conjecture for third Veronese embeddings. This
result is optimal since $\nu_3(\PP^n)$ does not satisfy the property $N_7$ for
$n\ge 2$ as shown by Ottaviani-Paoletti in \cite{OP}.


title:
Anomalous diffusion and ergodicity breaking in heterogeneous diffusion
  processes

abstract:
  We demonstrate the non-ergodicity of a simple Markovian stochastic processes
with space-dependent diffusion coefficient $D(x)$. For power-law forms $D(x)
\simeq|x|^{\alpha}$, this process yield anomalous diffusion of the form $\ <
x^2(t)\ > \simeq t^{2/(2-\alpha)}$. Interestingly, in both the sub- and
superdiffusive regimes we observe weak ergodicity breaking: the scaling of the
time averaged mean squared displacement $\{\delta^2}$ remains \emph{linear} and
thus differs from the corresponding ensemble average $\ <x^2(t)\ >$. We analyze
the non-ergodic behavior of this process in terms of the ergodicity breaking
parameters and the distribution of amplitude scatter of $\{\delta^2}$. This
model represents an alternative approach to non-ergodic, anomalous diffusion
that might be particularly relevant for diffusion in heterogeneous media.


title:
Conductivity and permittivity of dispersed systems with penetrable
  particle-host interphase

abstract:
  A model for the study of the effective quasistatic conductivity and
permittivity of dispersed systems with particle-host interphase, within which
many-particle polarization and correlation contributions are effectively
incorporated, is presented. The structure of the system's components, including
the interphase, is taken into account through modelling their low-frequency
complex permittivity profiles. The model describes, among other things, a
percolation-type behavior of the effective conductivity, accompanied by a
considerable increase in the real part of the effective complex permittivity.
The percolation threshold location is determined mainly by the thickness of the
interphase. The "double" percolation effect is predicted. The results are
contrasted with experiment.


title: Electromagnetic Media with no Dispersion Equation

abstract:
  It has been known through some examples that parameters of an electromagnetic
medium can be so defined that there is no dispersion equation (Fresnel
equation) to restrict the choice of the wave vector of a plane wave in such a
medium, i.e., that the dispersion equation is satisfied identically for any
wave vector. In the present paper, a more systematic study to define classes of
media with no dispersion equation is attempted. The analysis makes use of
coordinate-free four-dimensional formalism in terms of multivectors, multiforms
and dyadics.


title:
Testing Exponentiality Based on R\'enyi Entropy With Progressively
  Type-II Censored Data

abstract:
  We express the joint R\'enyi entropy of progressively censored order
statistics in terms of an incomplete integral of the hazard function, and
provide a simple estimate of the joint R\'enyi entropy of progressively Type-II
censored data. Then we establish a goodness of fit test statistic based on the
R\'enyi Kullback-Leibler information with the progressively Type-II censored
data, and compare its performance with the leading test statistic. A Monte
Carlo simulation study shows that the proposed test statistic shows better
powers than the leading test statistic against the alternatives with monotone
increasing, monotone decreasing and nonmonotone hazard functions.


title:
Ground state of a spin-1/2 Heisenberg-Ising two-leg ladder with XYZ
  intra-rung coupling

abstract:
  The quantum spin-1/2 two-leg ladder with an anisotropic XYZ Heisenberg
intra-rung interaction and Ising inter-rung interactions is treated by means of
a rigorous approach based on the unitary transformation. The particular case of
the considered model with X-X intra-rung interaction resembles a quantum
compass ladder with additional frustrating diagonal Ising interactions. Using
an appropriately chosen unitary transformation, the model under investigation
may be reduced to a transverse Ising chain with composite spins, and one may
subsequently find the ground state quite rigorously. We obtain a ground-state
phase diagram and analyze the interplay of the competition between several
factors: the XYZ anisotropy in the Heisenberg intra-rung coupling, the Ising
interaction along the legs, and the frustrating diagonal Ising interaction. The
investigated model shows extraordinarily diverse ground-state phase diagrams
including several unusual quantum ordered phases, two different disordered
quantum paramagnetic phases, as well as discontinuous or continuous quantum
phase transitions between those phases.


title:
A lattice of combinatorial Hopf algebras, Application to binary trees
  with multiplicities

abstract:
  In a first part, we formalize the construction of combinatorial Hopf algebras
from plactic-like monoids using polynomial realizations. Thank to this
construction we reveal a lattice structure on those combinatorial Hopf
algebras. As an application, we construct a new combinatorial Hopf algebra on
binary trees with multiplicities and use it to prove a hook length formula for
those trees.
  Dans une premi\`ere partie, nous formalisons la construction d'alg\`ebres de
Hopf combinatoires \`a partir d'une r\'ealisation polynomiale et de mono\"ides
de type mono\"ide plaxique. Gr\^ace \`a cette construction, nous mettons \`a
jour une structure de treillis sur ces alg\`ebres de Hopf combinatoires. Comme
application, nous construisons une nouvelle alg\`ebre de Hopf sur des arbres
binaires \`a multiplicit\'es et on l'utilise pour d\'emontrer une formule des
\'equerres sur ces arbres.


title:
Role of single-particle and pair condensates in Bose systems with
  arbitrary intensity of interaction

abstract:
  We study a superfluid Bose system with single-particle and pair condensates
on the basis of a half-phenomenological theory of a Bose liquid not involving
the weakness of interparticle interaction. The coupled equations describing the
equilibrium state of such system are derived from the variational principle for
entropy. These equations are analyzed at zero temperature both analytically and
numerically. It is shown that the fraction of particles in the single-particle
and pair condensates essentially depends on the total density of the system. At
densities attainable in condensates of alkali-metal atoms, almost all particles
are in the single-particle condensate. The pair condensate fraction grows with
an increasing total density and becomes dominant. It is shown that at density
of liquid helium, the single-particle condensate fraction is less than 10%,
which agrees with experimental data on inelastic neutron scattering, Monte
Carlo calculations and other theoretical predictions. The ground state energy,
pressure, and compressibility are found for the system under consideration. The
spectrum of single-particle excitations is also analyzed.


title: Investigation of nanoporous material under quasi-equilibrium conditions

abstract:
  Based on the three parametric Lorenz system, a model was developed that
permits to describe the behavior of the plasma-condensate system near phase
equilibrium in a self-consistent way. Considering the effect of fluctuations of
the growth surface temperature, the evolution equation and the corresponding
Fokker-Planck equation were obtained. The phase diagram is built which
determines the system parameters corresponding to the regime of the porous
structure formation.


title: Lowering the Barrier to Reuse through Test-Driven Search

abstract:
  Dedicated software search engines that index open source software
repositories or in-house software assets significantly enhance the chance of
finding software components suitable for reuse. However, they still leave the
work of evaluating and testing components to the developer. To significantly
change the risk-cost-benefit tradeoff involved in software reuse, search
engines need to be supported by user friendly environments that deliver code
search functionality non-intrusively right to developers' fingertips.


title: Eruption of the magnetic flux rope in a fast decayed active region

abstract:
  An isolated and fast decayed active region (NOAA 9729) was observed when
passing through solar disk. There is only one CME related with it that give us
a good opportunity to investigate the whole process of the CME. Filament in
this active region rises up rapidly and then hesitates and disintegrates into
flare loops. The rising filament from EIT images separates into two parts just
before eruption. A new filament reforms several hours later after CME and the
axis of this new one rotates clockwise about 22 degrees comparing with that of
the former one. We also observed a bright transient J-shaped X-ray sigmoid
immediately appears after filament eruption. It quickly develops into a soft
X-ray cusp and rises up firstly then drops down. Two magnetic cancelation
regions have been observed clearly just before filament eruption. Moreover, the
magnetic flux rope erupted as the magnetic helicity approach the maximum and
the normalized helicity is -0.036 when the magnetic flux rope erupted, which is
close to the prediction value based on the theoretical non-linear force-free
model.


title: Size-Sensitive Young's modulus of Kinked Silicon Nanowires

abstract:
  We perform both classical molecular dynamics simulations and beam model
calculations to investigate the Young's modulus of kinked silicon nanowires
(KSiNWs). The Young's modulus is found to be highly sensitive to the arm length
of the kink and is essentially inversely proportional to the arm length. The
mechanism underlying the size dependence is found to be the interplay between
the kink angle potential and the arm length potential, where we obtain an
analytic relationship between the Young's modulus and the arm length of the
KSiNW. Our results provide insight into the application of this novel building
block in nanomechanical devices.


title: Electronic properties of AlN crystal doped with Cr, Mn and Fe

abstract:
  The spin-resolved electronic energy band spectra, as well as partial and
total density of electronic states of the crystal AlN, doped with Cr, Mn and
Fe, have been evaluated within the projector augmented waves (PAW) approach by
means of the ABINIT code. The Hartree-Fock exchange for correlated electrons is
used to describe the correlated orbitals in the PAW framework. The calculated
one-electron energies for electrons of spin up and down are very different. We
have found that all the considered crystals are ferromagnetic.


title: Stopping the CCR flow and its isometric cocycles

abstract:
  It is shown how to use non-commutative stopping times in order to stop the
CCR flow of arbitrary index and also its isometric cocycles, i.e., left
operator Markovian cocycles on Boson Fock space. Stopping the CCR flow yields a
homomorphism from the semigroup of stopping times, equipped with the
convolution product, into the semigroup of unital endomorphisms of the von
Neumann algebra of bounded operators on the ambient Fock space. The operators
produced by stopping cocycles themselves satisfy a cocycle relation.


title:
Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale
  Spring

abstract:
  We perform classical molecular dynamics simulations to demonstrate the
application of kinked silicon nanowires (KSiNWs) as nanoscale springs. The
spring-like oscillation in gigahertz frequency range is successfully actuated
using a similar procedure as the actuation of a classical mass spring
oscillator. We detect the spring-like mechanical oscillation and some other
low-frequency oscillations by the energy spectrum analysis, where a dimensional
crossover phenomenon is observed for the transverse mode in KSiNWs with
decreasing aspect ratio. Our findings shed light on the elastic properties of
the KSiNW and open a way for its application in nanomechanical devices.


title:
Modulation of Thermal Conductivity in Kinked Silicon Nanowires: Phonon
  Interchanging and Pinching Effects

abstract:
  We perform molecular dynamics simulations to investigate the reduction of the
thermal conductivity by kinks in silicon nanowires. The reduction percentage
can be as high as 70% at room temperature. The temperature dependence of the
reduction is also calculated. By calculating phonon polarization vectors, two
mechanisms are found to be responsible for the reduced thermal conductivity:
(1) the interchanging effect between the longitudinal and transverse phonon
modes and (2) the pinching effect, i.e a new type of localization, for the
twisting and transverse phonon modes in the kinked silicon nanowires. Our work
demonstrates that the phonon interchanging and pinching effects, induced by
kinking, are brand new and effective ways in modulating heat transfer in
nanowires, which enables the kinked silicon nanowires to be a promising
candidate for thermoelectric materials.


title: Orientation Dependent Thermal Conductance in Single-Layer MoS2

abstract:
  We investigate the thermal conductivity in the armchair and zigzag MoS$_{2}$
nanoribbons, by combining the non-equilibrium Green's function approach and the
first-principles method. A strong orientation dependence is observed in the
thermal conductivity. Particularly, the thermal conductivity for the armchair
MoS$_{2}$ nanoribbon is about 673.6 Wm$^{-1}$K$^{-1}$ in the armchair
nanoribbon, and 841.1 Wm$^{-1}$K$^{-1}$ in the zigzag nanoribbon at room
temperature. By calculating the Caroli transmission, we disclose the underlying
mechanism for this strong orientation dependence to be the fewer phonon
transport channels in the armchair MoS$_{2}$ nanoribbon in the frequency range
of [150, 200] {cm$^{-1}$}. Through the scaling of the phonon dispersion, we
further illustrate that the thermal conductivity calculated for the MoS$_{2}$
nanoribbon is esentially in consistent with the superior thermal conductivity
found for graphene.


title: Why twisting angles are diverse in graphene Moire patterns?

abstract:
  The interlayer energy of the twisting bilayer graphene is investigated by the
molecular mechanics method using both the registry-dependent potential and the
Lennard-Jones potential. Both potentials show that the interlayer energy is
independent of the twisting angle $\theta$, except in the two boundary regions
$\theta\approx 0$ or $60^{\circ}$, where the interlayer energy is proportional
to the square of the twisting arc length. The calculation results are
successfully interpreted by a single atom model. An important information from
our findings is that, from the energy point of view, there is no preference for
the twisting angle in the experimental bilayer graphene samples, which actually
explains the diverse twisting angles in the experiment.


title:
Integrability of Hamiltonian systems with homogeneous potentials of
  degrees $\pm 2$. An application of higher order variational equations

abstract:
  The present work is the first of a serie of two papers, in which we analyse
the higher variational equations associated to natural Hamiltonian systems, in
their attempt to give Galois obstruction to their integrability. We show that
the higher variational equations $VE_{p}$ for $p\geq 2$, although complicated
they are, have very particular algebraic structure. Preceisely they are
solvable if $VE_{1}$ is virtually Abelian since they are solvable inductively
by what we call the \emph{second level integrals}. We then give necessary and
sufficient conditions in terms of these second level integrals for $VE_{p}$ to
be virtually Abelian (see Theorem 3.1). Then, we apply the above to potentials
of degree $k=\pm 2$ by considering their $VE_{p}$ along Darboux points. And
this because their $VE_{1}$ does not give any obstruction to the integrablity.
In Theorem 1.2, we show that under non-resonance conditions, the only degree
two integrable potential is the \emph{harmonic oscillator}. In contrast for
degree -2 potentials, all the $VE_{p}$ along Darboux points are virtually
Abelian (see Theorem 1.3)


title:
Electronic Instability in a Zero-Gap Semiconductor: the Charge-Density
  Wave in (TaSe4)2I

abstract:
  We report a comprehensive study of the paradigmatic quasi-1D compound
(TaSe4)2I performed by means of angle-resolved photoemission spectroscopy
(ARPES) and first-principles electronic structure calculations. We find it to
be a zero-gap semiconductor in the non-distorted structure, with non-negligible
interchain coupling. Theory and experiment support a Peierls-like scenario for
the CDW formation below T_CDW = 263 K, where the incommensurability is a direct
consequence of the finite interchain coupling. The formation of small polarons,
strongly suggested by the ARPES data, explains the puzzling
semiconductor-to-semiconductor transition observed in transport at T_CDW.


title:
Quantifying the Impact of Leveraging and Diversification on Systemic
  Risk

abstract:
  Excessive leverage, i.e. the abuse of debt financing, is considered one of
the primary factors in the default of financial institutions. Systemic risk
results from correlations between individual default probabilities that cannot
be considered independent. Based on the structural framework by Merton (1974),
we discuss a model in which these correlations arise from overlaps in banks'
portfolios. Portfolio diversification is used as a strategy to mitigate losses
from investments in risky projects. We calculate an optimal level of
diversification that has to be reached for a given level of excessive leverage
to still mitigate an increase in systemic risk. In our model, this optimal
diversification further depends on the market size and the market conditions
(e.g. volatility). It allows to distinguish between a safe regime, in which
excessive leverage does not result in an increase of systemic risk, and a risky
regime, in which excessive leverage cannot be mitigated leading to an increased
systemic risk. Our results are of relevance for financial regulators.


title: Generalized hadron structure and elastic scattering

abstract:
  The new parameterization of the Generalized Parton Distributions (GPDs)
t-dependence is investigated. It is shown that the new form of the GPDS allows
one to reproduce sufficiently well the electromagnetic form factors of the
proton and neutron at small and large momentum transfer and obtain a good
description of the elastic nucleon-nucleon scattering at high energies.


title: Revisiting Riccioli's free fall calculations

abstract:
  In 1651 Giovanni Riccioli reported the earliest accurate measurements the
acceleration due to gravity, g, from pendulum-timed free fall experiments. The
use of Huygens' pendulum formula (published 1673) allows one to deduce the
pendulum length from this data, free from assumptions about the conversion to
modern units, and independent of the actual value of g. When this length is
compared to the reported pendulum length, a 15% systematic error is revealed.
This could perhaps be attributed to the difficulty Riccioli faced in
subdividing the contemporary unit of length (the Roman foot) to the requisite
millimeter accuracy.


title: On the existence of a glass transition in a Random Energy Model

abstract:
  We consider a generalized version of the Random Energy Model in which the
energy of each configuration is given by the sum of $N$ independent
contributions ("local energies") with finite variances but otherwise arbitrary
statistics. Using the large deviation formalism, we find that the glass
transition generically exists when local energies have a smooth distribution.
In contrast, if the distribution of the local energies has a {Dirac mass} at
the minimal energy (e.g., if local energies take discrete values), the glass
transition ceases to exist if the number of energy levels grows sufficiently
fast with system size. This shows that statistical independence of energy
levels does not imply the existence of a glass transition.


title: The XMM deep survey in the CDFS IV. Candidate Compton-thick AGN

abstract:
  The Chandra Deep Field is the region of the sky with the highest
concentration of X-ray data available: 4Ms of Chandra and 3Ms of XMM data,
allowing excellent quality spectra to be extracted even for faint sources. We
take advantage of this in order to compile a sample of heavily obscured Active
Galactic Nuclei (AGN) using X-ray spectroscopy. We select our sample among the
176 brightest XMM sources, searching for either a) flat X-ray spectra (Photon
index<1.4 at the 90% confidence level) suggestive of a reflection dominated
continuum or b) an absorption turn-over suggestive of a column density higher
than ~10^{24} cm-2. We find a sample of nine candidate heavily obscured sources
satisfying the above criteria. Four of these show statistically significant
FeKalpha lines with large equivalent widths (three out of four have EW
consistent with 1 keV) suggesting that these are the most secure Compton-thick
AGN candidates. Two of these sources are transmission dominated while the other
two are most probably reflection dominated Compton-thick AGN. Although this
sample of four sources is by no means statistically complete, it represents the
best example of Compton-thick sources found at moderate-to-high redshift with
three sources at z=1.2-1.5 and one source at z=3.7. Using Spitzer and Herschel
observations, we estimate with good accuracy the X-ray to mid-IR (12 micron)
luminosity ratio of our sources. These are well below the average AGN relation,
independently suggesting that these four sources are heavily obscured.


title: Separable $C^{\ast}$-Algebras and weak$^{\ast}$-fixed point property

abstract:
  It is shown that the dual $\hat{A}$ of a separable $C^{\ast}$-algebra $A$ is
discrete if and only if its Banach space dual has the weak$^{\ast}$-fixed point
property. We prove further that these properties are equivalent to the uniform
weak$^{\ast}$ Kadec-Klee property of $A^{\ast}$ and to the coincidence of the
weak$^{\ast}$ topology with the norm topology on the pure states of $A$.


title:
Equivalence of several definitions of convolution of Roumieu
  ultradistributions

abstract:
  The equivalence of several definitions of convolution of two Roumieu
ultradistributions is proved. For that purpose, the $\varepsilon$ tensor
product of $\dot{\tilde{\mathcal{B}}}^{\{M_p\}}$ and a locally convex space $E$
is considered.


title: Veronesean embeddings of dual polar spaces of orthogonal type

abstract:
  Given a point-line geometry P and a pappian projective space S,a veronesean
embedding of P in S is an injective map e from the point-set of P to the set of
points of S mapping the lines of P onto non-singular conics of S and such that
e(P) spans S. In this paper we study veronesean embeddings of the dual polar
space \Delta_n associated to a non-singular quadratic form q of Witt index n >=
2 in V = V(2n + 1; F). Three such embeddings are considered,namely the
Grassmann embedding gr_n,the composition vs_n of the spin (projective)
embedding of \Delta_n in PG(2n-1; F) with the quadric veronesean map of V(2n;
F) and a third embedding w_n defined algebraically in the Weyl module V
(2\lambda_n),where \lambda_n is the fundamental dominant weight associated to
the n-th simple root of the root system of type Bn. We shall prove that w_n and
vs_n are isomorphic. If char(F) is different from 2 then V (2\lambda_n) is
irreducible and w_n is isomorphic to gr_n while if char(F) = 2 then gr_n is a
proper quotient of w_n. In this paper we shall study some of these submodules.
Finally we turn to universality,focusing on the case of n = 2. We prove that if
F is a finite field of odd order q > 3 then sv_2 is relatively universal. On
the contrary,if char(F) = 2 then vs_2 is not universal. We also prove that if F
is a perfect field of characteristic 2 then vs_n is not universal,for any n>=2.


title: Sorting in Lattices

abstract:
  In a totally ordered set the notion of sorting a finite sequence is defined
through a suitable permutation of the sequence's indices. In this paper we
prove a simple formula that explicitly describes how the elements of a sequence
are related to those of its sorted counterpart. As this formula relies only on
the minimum and maximum functions we use it to define the notion of sorting for
lattices. A major difference of sorting in lattices is that it does not
guarantee that sequence elements are only rearranged. However, we can show that
other fundamental properties that are associated with sorting are preserved.


title: Anti-Wick and Weyl quantization on ultradistribution spaces

abstract:
  The connection between the Anti-Wick and Weyl quantization is given for
certain class of global symbols, which corresponding pseudodifferential
operators act continuously on the space of tempered ultradistributions of
Beurling, respectively, of Roumieu type. The largest subspace of
ultradistributions is found for which the convolution with the gaussian kernel
exist. This gives a way to extend the definition of Anti-Wick quantization for
symbols that are not necessarily tempered ultradistributions.


title:
Ultralow-current-density and bias-field-free spin-transfer
  nano-oscillator

abstract:
  The spin-transfer nano-oscillator (STNO) offers the possibility of using the
transfer of spin angular momentum via spin-polarized currents to generate
microwave signals. However, at present STNO microwave emission mainly relies on
both large drive currents and external magnetic fields. These issues hinder the
implementation of STNOs for practical applications in terms of power
dissipation and size. Here, we report microwave measurements on STNOs built
with MgO-based magnetic tunnel junctions having a planar polarizer and a
perpendicular free layer, where microwave emission with large output power,
excited at ultralow current densities, and in the absence of any bias magnetic
fields is observed. The measured critical current density is over one order of
magnitude smaller than previously reported. These results suggest the
possibility of improved integration of STNOs with complementary
metal-oxide-semiconductor technology, and could represent a new route for the
development of the next-generation of on-chip oscillators.


title:
Defects in quasicrystals, revisited I-flips, approximants, phason
  defects

abstract:
  The recent discovery of metadislocations in some periodic complex metallic
alloys and of their 'phason' defects has given a new impetus to the study of QC
approximant defects. In this paper we emphasize: 1- that approximants differ
from a QC by a suitable density of 'flips' only, one per unit cell in the case
of Fibonacci approximants; these flips are not topological defects, 2- a flip
can split into two 'phason' defects of opposite signs, thus the approximant
defects can be studied in a first step as defects of the parent QC. In a
companion paper this analysis of QC defects is extended to dislocations; the
difference between perfect and imperfect dislocations is emphasized. Imperfect
dislocations are the phason defects alluded to above.


title: Quantum loss of synchronization in the dynamics of two spins

abstract:
  Motivated by the spin self-rephasing recently observed in an atomic clock, we
introduce a simple dynamical model to study the competition between dephasing
and synchronization. Two spins $S$ are taken to be initially parallel and in
the plane perpendicular to an inhomogeneous magnetic field $\Delta$ that tends
to dephase them. In addition, the spins are coupled by exchange interaction $J$
that tries to keep them locked. The analytical solution of the classical
dynamics shows that, there is a phase transition to a synchronized regime for
sufficiently large exchange interaction $J>\Delta$ compared to the
inhomogeneity. The quantum dynamics is solved analytically in four limits --
large/small $J/\Delta$ and large/small $S$ -- and numerically in between. In
sharp contrast to the classical case, the quantum solution features very rich
$S$-dependent multiscale dynamics. For any finite $S$, there is no
synchronization but a crossover around $J=\Delta$ between two regimes. The
synchronization transition is only recovered when $S\to \infty$, approaching
the classical solution in a non-trivial way. Quantum effects therefore suppress
the synchronization transition.


title: Towards quantized current arbitrary waveform synthesis

abstract:
  The generation of ac modulated quantized current waveforms using a
semiconductor non-adiabatic single electron pump is demonstrated. In standard
operation the single electron pump generates a quantized output current of I =
ef where e is the charge of the electron and f is the pumping frequency.
Suitable frequency modulation of f allows the generation of ac modulated output
currents with different characteristics. By sinusoidal and saw tooth like
modulation of f accordingly modulated quantized current waveforms with kHz
modulation frequencies and peak currents up to 100 pA are obtained. Such ac
quantized current sources could find applications ranging from precision ac
metrology to on-chip signal generation.


title: Gravity's Rainbow induces Topology Change

abstract:
  In this work, we explore the possibility that quantum fluctuations induce a
topology change, in the context of Gravity's Rainbow. A semi-classical approach
is adopted, where the graviton one-loop contribution to a classical energy in a
background spacetime is computed through a variational approach with Gaussian
trial wave functionals. The energy density of the graviton one-loop
contribution, or equivalently the background spacetime, is then let to evolve,
and consequently the classical energy is determined. More specifically, the
background metric is fixed to be Minkowskian in the equation governing the
quantum fluctuations, which behaves essentially as a backreaction equation, and
the quantum fluctuations are let to evolve; the classical energy, which depends
on the evolved metric functions, is then evaluated. Analysing this procedure, a
natural ultraviolet (UV) cutoff is obtained, which forbids the presence of an
interior spacetime region, and may result in a multipy-connected spacetime.
Thus, in the context of Gravity's Rainbow, this process may be interpreted as a
change in topology, and in principle results in the presence of a Planckian
wormhole.


title: Wrapping of ellipsoidal nano-particles by fluid membranes

abstract:
  Membrane budding and wrapping of particles, such as viruses and
nano-particles, play a key role in intracellular transport and have been
studied for a variety of biological and soft matter systems. We study
nano-particle wrapping by numerical minimization of bending, surface tension,
and adhesion energies. We calculate deformation and adhesion energies as a
function of membrane elastic parameters and adhesion strength to obtain
wrapping diagrams. We predict unwrapped, partially-wrapped, and
completely-wrapped states for prolate and oblate ellipsoids for various aspect
ratios and particle sizes. In contrast to spherical particles, where
partially-wrapped states exist only for finite surface tensions,
partially-wrapped states for ellipsoids occur already for tensionless
membranes. In addition, the partially-wrapped states are long-lived, because of
an increased energy cost for wrapping of the highly-curved tips. Our results
suggest a lower uptake rate of ellipsoidal particles by cells and thereby a
higher virulence of tubular viruses compared with icosahedral viruses, as well
as co-operative budding of ellipsoidal particles on membranes.


title:
Justification of Leading Order Quasicontinuum Approximations of Strongly
  Nonlinear Lattices

abstract:
  We consider the leading order quasicontinuum limits of a one-dimensional
granular medium governed by the Hertz contact law under precompression. The
approximate model which is derived in this limit is justified by establishing
asymptotic bounds for the error with the help of energy estimates. The
continuum model predicts the development of shock waves, which are also studied
in the full system with the aid of numerical simulations. We also show that
existing results concerning the Nonlinear Schrodinger (NLS) and Korteweg
de-Vries (KdV) approximation of FPU models apply directly to a precompressed
granular medium in the weakly nonlinear regime.


title:
Representing and decomposing genomic structural variants as balanced
  integer flows on sequence graphs

abstract:
  The study of genomic variation has provided key insights into the functional
role of mutations. Predominantly, studies have focused on single nucleotide
variants (SNV), which are relatively easy to detect and can be described with
rich mathematical models. However, it has been observed that genomes are highly
plastic, and that whole regions can be moved, removed or duplicated in bulk.
These structural variants (SV) have been shown to have significant impact on
the phenotype, but their study has been held back by the combinatorial
complexity of the underlying models. We describe here a general model of
structural variation that encompasses both balanced rearrangements and
arbitrary copy-numbers variants (CNV). In this model, we show that the space of
possible evolutionary histories that explain the structural differences between
any two genomes can be sampled ergodically.


title: Computable measure of the quantum correlation

abstract:
  A general state of an $m\otimes n$ system is a classical-quantum state if and
only if its associated $A$-correlation matrix (a matrix constructed from the
coherence vector of the party $A$, the correlation matrix of the state, and a
function of the local coherence vector of the subsystem $B$), has rank no
larger than $m-1$. Using the general Schatten $p$-norms, we quantify quantum
correlation by measuring any violation of this condition. The required
minimization can be carried out for the general $p$-norms and any function of
the local coherence vector of the unmeasured subsystem, leading to a class of
computable quantities which can be used to capture the quantumness of
correlations due to the subsystem $A$. We introduce two special members of
these quantifiers; The first one coincides with the tight lower bound on the
geometric measure of discord, so that such lower bound fully captures the
quantum correlation of a bipartite system. Accordingly, a vanishing tight lower
bound on the geometric discord is a necessary and sufficient condition for a
state to be zero-discord. The second quantifier has the property that it is
invariant under a local and reversible operation performed on the unmeasured
subsystem, so that it can be regarded as a computable well-defined measure of
the quantum correlations. The approach presented in this paper provides a way
to circumvent the problem with the geometric discord. We provide some examples
to exemplify this measure.


title:
UMD-valued square functions associated with Bessel operators in Hardy
  and BMO spaces

abstract:
  We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square
functions associated with Poisson semigroups for Bessel operators are defined
by using fractional derivatives. If B is a UMD Banach space we obtain for
B-valued Hardy and BMO spaces equivalent norms involving $\gamma$-radonifying
operators and square functions. We also establish characterizations of UMD
Banach spaces by using Hardy and BMO-boundedness properties of g-functions
associated to Bessel-Poisson semigroup.


title: The Laplacian with Robin Boundary Conditions involving signed measures

abstract:
  In this work we propose to study the general Robin boundary value problem
involving signed smooth measures on an arbitrary domain $\Omega$ of $\mathbb
R^d$. A Kato class of measures is defined to insure the closability of the
associated form $(\mem,\mfm)$. Moreover, the associated operator $\Delta_{\mu}$
is a realization of the Laplacian on $L^2(\Omega)$. In particular, when $|\mu|$
is locally infinite everywhere on $\po$, $\Delta_{\mu}$ is the laplacian with
Dirichlet boundary conditions. On the other hand, we will prove that he
semigroup $(\emu)_{t\geq 0}$ is sandwitched between $(\emup)_{t\geq 0}$ and
$(\emun)_{t\geq 0}$ and we will see that the converse is also true.


title:
Validation of the Eriksen Method of the Exact Foldy-Wouthuysen
  Representation

abstract:
  The Eriksen method is proven to yield a correct and exact result when a
sufficient condition of exact transformation to the Foldy-Wouthuysen (FW)
representation is satisfied. Therefore, the Eriksen method is confirmed as
valid. This makes it possible to establish the limits within which the
approximate "step-by-step" methods are applicable. The latter is done by
comparing the relativistic formulas for a Hamiltonian operator in the FW
representation (obtained using those methods) and the known expression for the
first terms of a series, which defines the expansion of this operator in powers
of v/c as found by applying the Eriksen method.


title: Higher order generalized Euler characteristics and generating series

abstract:
  For a complex quasi-projective manifold with a finite group action, we define
higher order generalized Euler characteristics with values in the Grothendieck
ring of complex quasi-projective varieties extended by the rational powers of
the class of the affine line. We compute the generating series of generalized
Euler characteristics of a fixed order of the Cartesian products of the
manifold with the wreath product actions on them.


title: Rare Decays and CP Violation in the $B_s$ System

abstract:
  CP violating phenomena and rare decays of $B_s$ mesons offer interesting
probes to test the quark-flavor sector of the Standard Model. In view of plenty
of data reported in particular from the Large Hadron Collider, this topic has
received a lot of attention in 2012. We give an overview of the the most recent
experimental results, new theoretical developments, and discuss the prospects
for the future exploration of the $B_s$-meson system.


title:
Techniques for Measuring Aerosol Attenuation using the Central Laser
  Facility at the Pierre Auger Observatory

abstract:
  The Pierre Auger Observatory in Malarg\"ue, Argentina, is designed to study
the properties of ultra-high energy cosmic rays with energies above 1018 eV. It
is a hybrid facility that employs a Fluorescence Detector to perform nearly
calorimetric measurements of Extensive Air Shower energies. To obtain reliable
calorimetric information from the FD, the atmospheric conditions at the
observatory need to be continuously monitored during data acquisition. In
particular, light attenuation due to aerosols is an important atmospheric
correction. The aerosol concentration is highly variable, so that the aerosol
attenuation needs to be evaluated hourly. We use light from the Central Laser
Facility, located near the center of the observatory site, having an optical
signature comparable to that of the highest energy showers detected by the FD.
This paper presents two procedures developed to retrieve the aerosol
attenuation of fluorescence light from CLF laser shots. Cross checks between
the two methods demonstrate that results from both analyses are compatible, and
that the uncertainties are well understood. The measurements of the aerosol
attenuation provided by the two procedures are currently used at the Pierre
Auger Observatory to reconstruct air shower data.


title:
Recent variability of the solar spectral irradiance and its impact on
  climate modelling

abstract:
  The lack of long and reliable time series of solar spectral irradiance (SSI)
measurements makes an accurate quantification of solar contributions to recent
climate change difficult. Whereas earlier SSI observations and models provided
a qualitatively consistent picture of the SSI variability, recent measurements
by the SORCE satellite suggest a significantly stronger variability in the
ultraviolet (UV) spectral range and changes in the visible and near-infrared
(NIR) bands in anti-phase with the solar cycle. A number of recent
chemistry-climate model (CCM) simulations have shown that this might have
significant implications on the Earth's atmosphere. Motivated by these results,
we summarize here our current knowledge of SSI variability and its impact on
Earth's climate. We present a detailed overview of existing SSI measurements
and provide thorough comparison of models available to date. SSI changes
influence the Earth's atmosphere, both directly, through changes in shortwave
(SW) heating and therefore, temperature and ozone distributions in the
stratosphere, and indirectly, through dynamical feedbacks. We investigate these
direct and indirect effects using several state-of-the art CCM simulations
forced with measured and modeled SSI changes. A unique asset of this study is
the use of a common comprehensive approach for an issue that is usually
addressed separately by different communities. Omissis. Finally, we discuss the
reliability of the available data and we propose additional coordinated work,
first to build composite SSI datasets out of scattered observations and to
refine current SSI models, and second, to run coordinated CCM experiments.


title: Affine ADE bundles over complex surfaces with p_g=0

abstract:
  We study simply-laced simple affine Lie algebra bundles over complex surfaces
X. Given any Kodaira curve C in X, we construct such a bundle over X. After
deformations, it becomes trivial on every irreducible component of C provided
that p_g(X)=0. When X is a blowup of P^2 at nine points, there is a canonical
E_8-bundle E over X. We show that the geometry of X can be reflected by the
deformability of E.


title: The outburst decay of the low magnetic field magnetar SGR 0418+5729

abstract:
  We report on the long term X-ray monitoring of the outburst decay of the low
magnetic field magnetar SGR 0418+5729, using all the available X-ray data
obtained with RXTE, SWIFT, Chandra, and XMM-Newton observations, from the
discovery of the source in June 2009, up to August 2012. The timing analysis
allowed us to obtain the first measurement of the period derivative of SGR
0418+5729: \dot{P}=4(1)x10^{-15} s/s, significant at ~3.5 sigma confidence
level. This leads to a surface dipolar magnetic field of B_dip ~6x 10^{12} G.
This measurement confirms SGR 0418+5729 as the lowest magnetic field magnetar.
Following the flux and spectral evolution from the beginning of the outburst up
to ~1200 days, we observe a gradual cooling of the tiny hot spot responsible
for the X-ray emission, from a temperature of ~0.9 to 0.3 keV. Simultaneously,
the X-ray flux decreased by about 3 orders of magnitude: from about
1.4x10^{-11} to 1.2x10^{-14} erg/s/cm^2 . Deep radio, millimeter, optical and
gamma-ray observations did not detect the source counterpart, implying
stringent limits on its multi-band emission, as well as constraints on the
presence of a fossil disk. By modeling the magneto-thermal secular evolution of
SGR 0418+5729, we infer a realistic age of ~550 kyr, and a dipolar magnetic
field at birth of ~10^{14} G. The outburst characteristics suggest the presence
of a thin twisted bundle with a small heated spot at its base. The bundle
untwisted in the first few months following the outburst, while the hot spot
decreases in temperature and size. We estimate the outburst rate of low
magnetic field magnetars to be about one per year per galaxy, and we briefly
discuss the consequences of such result in several other astrophysical
contexts.


title: First principles calculation of lithium-phosphorus co-doped diamond

abstract:
  We calculate the density of states (DOS) and the Mulliken population of the
diamond and the co-doped diamonds with different concentrations of lithium (Li)
and phosphorus (P) by the method of the density functional theory, and analyze
the bonding situations of the Li-P co-doped diamond thin films and the impacts
of the Li-P co-doping on the diamond conductivities. The results show that the
Li-P atoms can promote the split of the diamond energy band near the Fermi
level, and improve the electron conductivities of the Li-P co-doped diamond
thin films, or even make the Li-P co-doped diamond from semiconductor to
conductor. The effect of Li-P co-doping concentration on the orbital charge
distributions, bond lengths and bond populations is analyzed. The Li atom may
promote the split of the energy band near the Fermi level as well as may
favorably regulate the diamond lattice distortion and expansion caused by the P
atom.


title: D-branes and cosmic structure

abstract:
  We outline the embedding of the vector curvaton scenario as a promising
mechanism to generate statistical anisotropy within Type IIB string theory,
where the vector field on a single D-brane plays the role of the vector
curvaton. We first consider a toy model in the context of open string
inflation, and then begin to construct a concrete model in the context of
closed string inflation.


title:
Dipole glass parameter behaviour for ferro-antiferroelectric solid
  mixtures

abstract:
  A new definition of a dipole glass parameter for ferro-antiferroelectric
solid mixtures is suggested. It is constructed on the nearest neighbours pair
correlation functions for interacting dipole momenta. The behaviour of the
dipole glass parameter is calculated and discussed.


title: Slow motion for compressible isentropic Navier--Stokes equations

abstract:
  We consider the compressible Navier-Stokes equations for isentropic dynamics
with real viscosity on a bounded interval. In the case of boundary data
defining an admissible shock wave for the corresponding unviscous hyperbolic
system, we determine a scalar differential equation describing the motion of
the internal transition layer. In particular, for small viscosity, the velocity
of the motion is exponentially small. The approach is based on the construction
of a one-parameter manifold of approximate solutions and on an appropriate
projection of the evolution of the complete Navier-Stokes system towards such
manifold.


title:
Genus one correction to Seiberg-Witten prepotential from \beta-deformed
  matrix model

abstract:
  We study \beta-deformed matrix models with Penner type potentials, which
correspond to N=2 SU(2) supersymmetric gauge theories with N_F=2,3, and 4
flavors. We compute explicitly the genus one corrections to the free energy of
the matrix model and show that they match the corresponding results obtained
from the Nekrasov partition function.


title:
Linear perturbation renormalization group method for Ising-like spin
  systems

abstract:
  The linear perturbation group transformation (LPRG) is used to study the
thermodynamics of the axial next-nearest-neighbor Ising model with four spin
interactions (extended ANNNI) in a field. The LPRG for weakly interacting Ising
chains is presented. The method is used to study finite field
para-ferrimagnetic phase transitions observed in layered uranium compounds,
UAs_{1-x}Se_x, UPd_2Si_2 or UNi_2Si_2. The above-mentioned systems are made of
ferromagnetic layers and the spins from the nearest-neighbor and
next-nearest-neighbor layers are coupled by the antiferromagnetic interactions
J_1<0 and J_2<0, respectively. Each of these systems exhibits a triple point in
which two ordered phases (ferrimagnetic and incommensurate) meet the
paramagnetic one, and all undergo the high field phase transition from para- to
ferrimagnetic (++-) phase. However, if in UAs_{1-x}Se_x the para-ferri phase
transition is of the first order as expected from the symmetry reason, in
UT_2Si_2 (T=Pd,Ni) this transition seems to be a continuous one, at least in
the vicinity of the multicritical point. Within the MFA, the critical character
of the finite field para-ferrimagnetic transition at least at one isolated
point can be described by the ANNNI model supplemented by an additional, e.g.,
four-spin interaction. However, in LPRG approximation for the ratio
\kappa=J_2/J_1 around 0.5 there is a critical value of the field for which an
isolated critical point also exists in the original ANNNI model. The positive
four-spin interaction shifts the critical point towards higher fields and
changes the shape of the specific heat curve. In the latter case for the fields
small enough, the specific heat exhibits two-peak structure in the paramagnetic
phase.


title:
Star Formation and Metallicity Gradients in Semi-analytic Models of Disk
  Galaxy Formation

abstract:
  We have updated our radially-resolved SAMs of galaxy formation, which track
both the atomic and molecular gas phases of the ISM. The models are adapted
from those of Guo et al. using similar methodology as in Fu et al. and are run
on halo merger trees from the MS and MS II with the following main changes: (1)
We adopt a simple star formation law where \Sigma_SFR \propto \Sigma_H2 (2) We
inject the heavy elements produced by supernovae directly into the halo hot
gas, instead of first mixing them with the cold gas in the disk. (3) We include
radial gas inflows in disks using a model of the form v_inflow = \alpha r. The
models are used to study the radial profiles of star formation rate and
gas-phase metallicity in present-day galaxies. The \Sigma_H2 profiles in L*
galaxies place strong constraints on inflow velocities, favouring models where
v_inflow~7km/s at a galactocentric radius of 10kpc. Radial gas inflow has
little influence on gas-phase and stellar metallicity gradients, which are
affected much more strongly by the fraction of metals that are directly
injected into the halo gas, rather than mixed with the cold gas. Metals ejected
out of the galaxy in early epochs result in late infall of pre-enriched gas and
flatter present-day gas-phase metallicity gradients. A prescription in which
80% of the metals are injected into the halo gas results in good fits to the
flat observed metallicity gradients in galaxies with stellar masses greater
than 10^10 M_sun, as well as the relations between gas-phase metallicity and
sSFR in the outer parts of galactic disks. We examine the correlation between
gas-phase metallicity gradient and global galaxy properties, finding that it is
most strongly correlated with the bulge-to-total ratio of the galaxy. This is
because gas is consumed when the bulge forms during galaxy mergers, and the
gas-phase metallicity gradient is then set by newly-accreted gas.


title:
Topological and symmetry broken phases of Z_N parafermions in one
  dimension

abstract:
  We classify the gapped phases of Z_N parafermions in one dimension and
construct a representative of each phase. Even in the absence of additional
symmetries besides parafermionic parity, parafermions may be realized in a
variety of phases, one for each divisor n of N. The phases can be characterized
by spontaneous symmetry breaking, topology, or a mixture of the two. Purely
topological phases arise if n is a unitary divisor, i.e. if n and N/n are
co-prime. Our analysis is based on the explicit realization of all symmetry
broken gapped phases in the dual Z_N-invariant quantum spin chains.


title: Robust and Trend Following Student's t Kalman Smoothers

abstract:
  We present a Kalman smoothing framework based on modeling errors using the
heavy tailed Student's t distribution, along with algorithms, convergence
theory, open-source general implementation, and several important applications.
The computational effort per iteration grows linearly with the length of the
time series, and all smoothers allow nonlinear process and measurement models.
  Robust smoothers form an important subclass of smoothers within this
framework. These smoothers work in situations where measurements are highly
contaminated by noise or include data unexplained by the forward model. Highly
robust smoothers are developed by modeling measurement errors using the
Student's t distribution, and outperform the recently proposed L1-Laplace
smoother in extreme situations with data containing 20% or more outliers.
  A second special application we consider in detail allows tracking sudden
changes in the state. It is developed by modeling process noise using the
Student's t distribution, and the resulting smoother can track sudden changes
in the state.
  These features can be used separately or in tandem, and we present a general
smoother algorithm and open source implementation, together with convergence
analysis that covers a wide range of smoothers. A key ingredient of our
approach is a technique to deal with the non-convexity of the Student's t loss
function. Numerical results for linear and nonlinear models illustrate the
performance of the new smoothers for robust and tracking applications, as well
as for mixed problems that have both types of features.


title: A non-scanning atomic magnetometer based on coherent population trapping

abstract:
  The method of operation of an atomic magnetometer based on coherent
population trapping (CPT) without any requirement of radio frequency scanning
is demonstrated. Using a hybrid approach comprising of polarization rotation
and tailored transmission due to CPT states, the simultaneous operation of the
device as atomic frequency standard as well as atomic magnetometer is
investigated. The magnetometer sensitivity can be further improved by utilizing
the inherent option of magnetic field assisted synchronized radio frequency
scanning.


title:
Multicomponent polymer flooding in two dimensional oil reservoir
  simulation

abstract:
  We propose a high resolution finite volume scheme for a (m+1)x(m+1) system of
non strictly hyperbolic conservation laws which models multicomponent polymer
flooding in enhanced oil-recovery process in two dimensions. In the presence of
gravity the flux functions need not be monotone and hence the exact Riemann
problem is complicated and computationally expensive. To overcome this
difficulty, we use the idea of discontinuous flux to reduce the coupled system
into uncoupled system of scalar conservation laws with discontinuous
coefficients. High order accurate scheme is constructed by introducing slope
limiter in space variable and a strong stability preserving Runge-Kutta scheme
in the time variable. The performance of the numerical scheme is presented in
various situations by choosing a heavily heterogeneous hard rock type medium.
Also the significance of dissolving multiple polymers in aqueous phase is
presented


title: Free randomness amplification using bipartite chain correlations

abstract:
  A direct analysis of the protocol of randomness amplification using Bell
inequality violation is performed in terms of the convex combination of
no-signaling boxes required to simulate quantum violation of the inequality.
The probability distributions of bits generated by a Santha-Vazirani source are
shown to be mixtures of permutations of Bernoulli distributions with parameter
defined by the source. An intuitive proof is provided for the range of partial
randomness from which perfect randomness can be extracted using quantum
correlations violating the chain inequalities. Exact values are derived in the
asymptotic limit of a large number of measurement settings.


title: Nematic fluid at a hard wall in the mean field approximation

abstract:
  In the framework of a field theoretical approach we study Maier-Saupe
nematogenic fluid in contact with a hard wall. The pair interaction potential
of the considered model consists of an isotropic and an anisotropic Yukawa
terms. In the mean field approximation the contact theorem is proved. For the
case of the nematic director being oriented perpendicular to the wall,
analytical expressions for the density and order parameter profiles are
obtained. It is shown that in a certain thermodynamic region the nematic fluid
near the interface can be more diluted and less orientationally ordered than in
the bulk region.


title:
Exact results in two dimensional chiral hydrodynamics with gravitational
  anomalies

abstract:
  An exact formulation of two dimensional chiral hydrodynamics with
diffeomorphism and conformal anomalies is provided. The constitutive relation
involving the stress tensor is computed. It reveals a one parameter class of
solutions which is a new result. For a particular value of this parameter, the
results found in the gradient expansion scheme are reproduced. Moreover, the
constitutive relation is analogous to the corresponding relation for an ideal
fluid, appropriately modified to include the chirality property, which has also
been derived here.


title:
Scattering solutions and Born approximation for the magnetic
  Schr\"odinger operator

abstract:
  We prove the existence of scattering solutions for multidimensional magnetic
Schr\"odinger equation which belong to the weighted Sobolev space H^1_s
(R^n)(n=2,3) with some s < -1/2. As a consequence of this we formulate the
direct Born approximation for the magnetic Schr\"odinger operator. Possible
connections with inverse problems (inverse scattering Born approximation) are
discussed.


title:
Proofs of some conjectures on monotonicity of number-theoretic and
  combinatorial sequences

abstract:
  We develop techniques to deal with monotonicity of sequences z_{n+1}/z_n and
\sqrt[n]{z_n}. A series of conjectures of Zhi-Wei Sun and of Amdeberhan et al.
are verified in certain unified approaches.


title: Do scientists trace hot topics?

abstract:
  Do scientists follow hot topics in their scientific investigations? In this
paper, by performing analysis to papers published in the American Physical
Society (APS) Physical Review journals, it is found that papers are more likely
to be attracted by hot fields, where the hotness of a field is measured by the
number of papers belonging to the field. This indicates that scientists
generally do follow hot topics. However, there are qualitative differences
among scientists from various countries, among research works regarding
different number of authors, different number of affiliations and different
number of references. These observations could be valuable for policy makers
when deciding research funding and also for individual researchers when
searching for scientific projects.


title: The initial mass function modeled by a left truncated beta distribution

abstract:
  The initial mass function (IMF) for the stars is usually fitted by three
straight lines, which means seven parameters. The presence of brown dwarfs (BD)
increases to four the straight lines and to nine the parameters. Another common
fitting function is the lognormal distribution, which is characterized by two
parameters. This paper is devoted to demonstrating the advantage of introducing
a left truncated beta probability density function, which is characterized by
four parameters. The constant of normalization, the mean, the mode and the
distribution function are calculated for the left truncated beta distribution.
The normal-beta (NB) distribution which results from convolving independent
normally distributed and beta distributed components is also derived. The
chi-square test and the K-S test are performed on a first sample of stars and
BDs which belongs to the massive young cluster NGC 6611 and on a second sample
which represents the star's masses of the cluster NGC 2362.