title: Homotopical Height

abstract:
  Given a group $G$ and a class of manifolds $\CC$ (e.g. symplectic, contact,
K\"ahler etc), it is an old problem to find a manifold $M_G \in \CC$ whose
fundamental group is $G$. This article refines it: for a group $G$ and a
positive integer $r$ find $M_G \in \CC$ such that $\pi_1(M_G)=G$ and
$\pi_i(M_G)=0$ for $1<i<r$. We thus provide a unified point of view
systematizing known and new results in this direction for various different
classes of manifolds. The largest $r$ for which such an $M_G \in \CC$ can be
found is called the homotopical height $ht_\CC(G)$. Homotopical height provides
a dimensional obstruction to finding a $K(G,1)$ space within the given class
$\CC$, leading to a hierarchy of these classes in terms of "softness" or
"hardness" \`a la Gromov. We show that the classes of closed contact, CR, and
almost complex manifolds as well as the class of (open) Stein manifolds are
soft.
  The classes $\SP$ and $\CA$ of closed symplectic and complex manifolds
exhibit intermediate "softness" in the sense that every finitely presented
group $G$ can be realized as the fundamental group of a manifold in $\SP$ and a
manifold in $\CA$. For these classes, $ht_\CC(G)$ provides a numerical
invariant for finitely presented groups. We give explicit computations of these
invariants for some standard finitely presented groups.
  We use the notion of homotopical height within the "hard" category of
K\"ahler groups to obtain partial answers to questions of Toledo regarding
second cohomology and second group cohomology of K\"ahler groups. We also
modify and generalize a construction due to Dimca, Papadima and Suciu to give a
potentially large class of projective groups violating property FP.


title:
On the use of Biplot analysis for multivariate bibliometric and
  scientific indicators

abstract:
  Bibliometric mapping and visualization techniques represent one of the main
pillars in the field of scientometrics. Traditionally, the main methodologies
employed for representing data are Multi-Dimensional Scaling, Principal
Component Analysis or Correspondence Analysis. In this paper we aim at
presenting a visualization methodology known as Biplot analysis for
representing bibliometric and science and technology indicators. A Biplot is a
graphical representation of multivariate data, where the elements of a data
matrix are represented according to dots and vectors associated with the rows
and columns of the matrix. In this paper we explore the possibilities of
applying the Biplot analysis in the research policy area. More specifically we
will first describe and introduce the reader to this methodology and secondly,
we will analyze its strengths and weaknesses through three different study
cases: countries, universities and scientific fields. For this, we use a Biplot
analysis known as JK-Biplot. Finally we compare the Biplot representation with
other multivariate analysis techniques. We conclude that Biplot analysis could
be a useful technique in scientometrics when studying multivariate data and an
easy-to-read tool for research decision makers.


title:
Exponential spreading and singular behavior of quantum dynamics near
  hyperbolic points

abstract:
  Quantum dynamics of a particle in the vicinity of a hyperbolic point is
considered. Expectation values of dynamical variables are calculated, and the
singular behavior is analyzed. Exponentially fast extension of quantum dynamics
is obtained, and conditions for this realization are analyzed.


title: Search for pulsed gamma-ray emission from globular cluster M28

abstract:
  Using the data from the Large Area Telescope on board the Fermi Gamma-ray
Space Telescope, we have searched for the gamma-ray pulsations from the
direction of globular cluster M28 (NGC 6626). We report the discovery of a
signal with the frequency consistent with that of the energetic millisecond
pulsar (MSP) PSR B1821-24 in M28. A weighted H-test test statisic (TS) of 28.8
is attained which corresponds to a chance probability of ~1e-5 (4.3-sigma
detection). With a phase-resolved analysis, the pulsed component is found to
contribute ~25% of the total observed gamma-ray emission from the cluster. On
the other hand, the unpulsed level provides a constraint for the underlying MSP
population and the fundamental plane relations for the scenario of inverse
Compton scattering. Follow-up timing observations in radio/X-ray are encouraged
for further investigating this periodic signal candidate.


title:
Impact of Resonant Magnetic Perturbations on Zonal Modes, Drift-Wave
  Turbulence and the L-H Transition Threshold

abstract:
  We study the effects of Resonant Magnetic Perturbations (RMPs) on turbulence,
flows and confinement in the framework of resistive drift-wave turbulence. This
work was motivated, in parts, by experiments reported at the IAEA 2010
conference [Y. Xu {\it et al}, Nucl. Fusion \textbf{51}, 062030] which showed a
decrease of long-range correlations during the application of RMPs. We derive
and apply a zero-dimensional predator-prey model coupling the Drift-Wave Zonal
Mode system [M. Leconte and P.H. Diamond, Phys. Plasmas \textbf{19}, 055903] to
the evolution of mean quantities. This model has both density gradient drive
and RMP amplitude as control parameters and predicts a novel type of transport
bifurcation in the presence of RMPs. This model allows a description of the
full L-H transition evolution with RMPs, including the mean sheared flow
evolution. The key results are: i) The L-I and I-H power thresholds \emph{both}
increase with RMP amplitude $|\bx|$, the relative increase of the L-I threshold
scales as $\Delta P_{\rm LI} \propto |\bx|^2 \nu_*^{-2} \gyro^{-2}$, where
$\nu_*$ is edge collisionality and $\gyro$ is the sound gyroradius. ii) RMPs
are predicted to \emph{decrease} the hysteresis between the forward and
back-transition. iii) Taking into account the mean density evolution, the
density profile - sustained by the particle source - has an increased turbulent
diffusion compared with the reference case without RMPs which provides one
possible explanation for the \emph{density pump-out} effect.


title: On Kirby calculus for null-homotopic framed links in 3-manifolds

abstract:
  Kirby proved that two framed links in S^3 give orientation-preserving
homeomorphic results of surgery if and only if these two links are related by a
sequence of two kinds of moves called stabilizations and handle-slides. Fenn
and Rourke gave a necessary and sufficient condition for two framed links in a
closed, oriented 3-manifold to be related by a finite sequence of these moves.
The purpose of this paper is twofold. We first give a generalization of Fenn
and Rourke's result to 3-manifolds with boundary. Then we apply this result to
the case of framed links whose components are null-homotopic in the 3-manifold.


title:
Reply to arXiv:1212.3831v1 "Comment on: Magnetotransport through
  graphene spin valves and its following works" by Y. Zhou and M.W. Wu

abstract:
  In their comment arXiv:1212.3831v1 Y. Zhou and M.W. Wu claim that the
fundamental transport equation relating the current to the transmission
function, used by us and in fact by numerous other researchers, is invalid for
extended systems and should be corrected. They provide a "correct" new formula
for transport in extended systems. This would be indeed a surprising new aspect
of quantum transport theory. Here we show mathematically, however, that the new
formula is a misconception resulting from adding an energy and momentum
dependent function that has to vanish due to fundamental reasons. Results and
conclusions stemming from adding this function are irrelevant. The known
established formulas for quantum transport are consistent with each others
under the well-documented conditions.


title: Outage Capacity for the Optical MIMO Channel

abstract:
  MIMO processing techniques in fiber optical communications have been proposed
as a promising approach to meet increasing demand for information throughput.
In this context, the multiple channels correspond to the multiple modes and/or
multiple cores in the fiber. In this paper we characterize the distribution of
the mutual information with Gaussian input in a simple channel model for this
system. Assuming significant cross talk between cores, negligible
backscattering and near-lossless propagation in the fiber, we model the
transmission channel as a random complex unitary matrix. The loss in the
transmission may be parameterized by a number of unutilized channels in the
fiber. We analyze the system in a dual fashion. First, we evaluate a
closed-form expression for the outage probability, which is handy for small
matrices. We also apply the asymptotic approach, in particular the Coulomb gas
method from statistical mechanics, to obtain closed-form results for the
ergodic mutual information, its variance as well as the outage probability for
Gaussian input in the limit of large number of cores/modes. By comparing our
analytic results to simulations, we see that, despite the fact that this method
is nominally valid for large number of modes, our method is quite accurate even
for small to modest number of channels.


title: Coupling Functions for Domino tilings of Aztec diamonds

abstract:
  The inverse Kasteleyn matrix of a bipartite graph holds much information
about the perfect matchings of the system such as local statistics which can be
used to compute local and global asymptotics. In this paper, we consider three
different weightings of domino tilings of the Aztec diamond and show using
recurrence relations, we can compute the inverse Kasteleyn matrix. These
weights are the one-periodic weighting where the horizontal edges have one
weight and the vertical edges have another weight, the q^{vol} weighting which
corresponds to multiplying the product of tile weights by q if we add a `box'
to the height function and the two-periodic weighting which exhibits a flat
region with defects in the center.


title:
Bounded and Almost Periodic Solutions for Second Order Differential
  Equation Involving Reflection of the Argument

abstract:
  In this paper we investigate the existence and uniqueness of bounded,
periodic and almost periodic solutions for second order differential equations
involving reflection of the argument.The relationship between frequency modules
of forced term and the solution of the equation is considered.


title:
Comment on "State-Independent Experimental Test of Quantum Contextuality
  in an Indivisible System"

abstract:
  We argue that the experiment described in the recent Letter by Zu et al.
[Phys. Rev. Lett. 109, 150401 (2012); arXiv:1207.0059v1] does not allow to make
conclusions about contextuality, since the measurement of the observables as
well as the preparation of the state manifestly depend on the chosen context.


title: Periodic total variation flow of non-divergence type in Rn

abstract:
  We introduce a new notion of viscosity solutions for a class of very singular
nonlinear parabolic problems of non-divergence form in a periodic domain of
arbitrary dimension, whose diffusion on flat parts with zero slope is so strong
that it becomes a nonlocal quantity. The problems include the classical total
variation flow and a motion of a surface by a crystalline mean curvature. We
establish a comparison principle, the stability under approximation by
regularized parabolic problems, and an existence theorem for general continuous
initial data.


title:
Reply to Comment on "State-independent experimental test of quantum
  contextuality in an indivisible system"

abstract:
  This is a reply to the comment from E. Amselem et al. on our paper (Phys.
Rev. Lett. 109, 150401 (2012), arXiv:1207.0059).


title: A note on Harris Morrison sweeping families of maximal gonality

abstract:
  Harris and Morrison constructed semistable families f:F \to Y of k-gonal
curves of genus g such that for every k the corresponding modular curves give a
sweeping family in the k-gonal locus in the moduli space. Their construction
depends on the choice of a smooth curve X. We show that if the genus g(X) is
sufficiently high with respect to g, then the ratio K_F^2 / \chi(O_F) is 8
asymptotically with respect to g(X). We show also that if the gonality is
maximal and some conjectured estimates of Harris and Morrison hold, the slope
of the fibration f: F\to Y is 12 asymptotically with respect to g and that F is
a surface of positive index.


title:
RevDedup: A Reverse Deduplication Storage System Optimized for Reads to
  Latest Backups

abstract:
  Scaling up the backup storage for an ever-increasing volume of virtual
machine (VM) images is a critical issue in virtualization environments. While
deduplication is known to effectively eliminate duplicates for VM image
storage, it also introduces fragmentation that will degrade read performance.
We propose RevDedup, a deduplication system that optimizes reads to latest VM
image backups using an idea called reverse deduplication. In contrast with
conventional deduplication that removes duplicates from new data, RevDedup
removes duplicates from old data, thereby shifting fragmentation to old data
while keeping the layout of new data as sequential as possible. We evaluate our
RevDedup prototype using microbenchmark and real-world workloads. For a 12-week
span of real-world VM images from 160 users, RevDedup achieves high
deduplication efficiency with around 97% of saving, and high backup and read
throughput on the order of 1GB/s. RevDedup also incurs small metadata overhead
in backup/read operations.


title:
Two-flavor color superconductivity at finite temperature, chemical
  potential and in the presence of strong magnetic fields

abstract:
  Utilizing an extended two-flavor Nambu-Jona Lasinio (NJL) model, we review
some of the effects of external magnetic fields on two-flavor color
superconducting phase (2SC) at moderate baryon densities in the QCD phase
diagram. The effective action of the extended NJL model consists of two mass
gaps as functions of three intensive quantities, the temperature, the quark
chemical potential and the external magnetic field. The nonzero values of the
mass gaps, chiral and diquark condensates, induce spontaneous chiral and color
symmetry breaking, respectively, and as a result two different phases of quark
matter appear. We find the transition curves between these phases as well as
the critical points in the QCD phase diagram in terms of the intensive
quantities. Imposing a constant strong magnetic field on these two phases, we
show that the mass gaps increase with the magnetic field and the symmetry
breaking region in the QCD phase diagram expands even to the larger values of
temperature and quark chemical potential. This phenomenon is a consequence of
the magnetic catalysis of dynamical symmetry breaking, which is proven before.


title: The ATLAS Forward Physics Project

abstract:
  We describe the main components of the ATLAS Forward Physics project, namely
the movable beam pipe, the tracking and timing detectors which allow to detect
intact protons in the final state at the LHC. The position detector is composed
on 6 layers of 3D silicon detectors readout by FE-I4 chips developped for
ATLAS. The fast timing detector is built from a quartz-based Cerenkov detector
coupled to a microchannel plate photomultiplier tube, followed by the
electronic elements that amplify, measure, and record the time of the event
along with a stabilized reference clock signal, ensuring a time resolution of
10-15 picoseconds.


title: The Neutrino Mass Hierarchy from Nuclear Reactor Experiments

abstract:
  10 years from now reactor neutrino experiments will attempt to determine
which neutrino mass eigenstate is the most massive. In this letter we present
the results of more than seven million detailed simulations of such
experiments, studying the dependence of the probability of successfully
determining the mass hierarchy upon the analysis method, the neutrino mass
matrix parameters, reactor flux models, geoneutrinos and, in particular,
combinations of baselines. We show that a recently reported spurious dependence
of the data analysis upon the high energy tail of the reactor spectrum can be
removed by using a weighted Fourier transform. We determine the optimal
baselines and corresponding detector locations. For most values of the
CP-violating, leptonic Dirac phase delta, a degeneracy prevents NOvA and T2K
from determining either delta or the hierarchy. We determine the confidence
with which a reactor experiment can determine the hierarchy, breaking the
degeneracy.


title: Prime polynomials in short intervals and in arithmetic progressions

abstract:
  In this paper we establish function field versions of two classical
conjectures on prime numbers. The first says that the number of primes in
intervals (x,x+x^epsilon] is about x^epsilon/log x and the second says that the
number of primes p<x that are congruent to a modulo d, for d^(1+delta)<x, is
about pi(x)/phi(d).
  More precisely, we prove: Let 1\leq m<k be integers, let q be a prime power,
and let f be a monic polynomial of degree k with coefficients in the finite
field with q elements. Then there is a constant c(k) such that the number N of
prime polynomials g=f+h with deg h \leq m satisfies |N-q^(m+1)/k|\leq
c(k)q^(m+1/2). Here we assume m\geq 2 if \gcd(q,k(k-1))>1 and m\geq 3 if q is
even and deg f' \leq 1. We show that this estimation fails in the neglected
cases.
  Let \pi_q(k) be the number of monic prime polynomials of degree k with
coefficients in the finite field with q elements \FF_q. For relatively prime
polynomials f,D\in \FF_q[t] we prove that the number N' of monic prime
polynomials g that are congruent to f modulo D and of degree k satisfies
|N'-\pi_q(k)/\phi(D)|\leq c(k)\pi_q(k)q^{-1/2}/\phi(D), as long as 1\leq \deg
D\leq k-3 (or \leq k-4 if p=2 and (f/D)' is constant).
  We also generalize these results to other factorization types.


title:
Many-to-one remote information concentration for qudits and multipartite
  entanglement

abstract:
  Telecloning and its reverse process, referred to as remote information
concentration(RIC), have attracted considerable interest because of their
potential applications in quantum-information processing. We here present a
general scheme for RIC in d-level systems (qudits), in which the quantum
information initially distributed in many spatially separated qudits can be
remotely and deterministically concentrated to a single qudit via an entangled
channel without performing any global operations. We show that the entangled
channel of RIC can be different types of entangled states, including mixed
states as well as pure ones. More interestingly, these mixed states include a
bound entangled state which has a similar form to the generalized Smolin state
but has different characteristics from it. We also show that there exists a
multipartite entangled state which can be used to implement both telecloning
and RIC in the two-level system. Our many-to-one RIC protocol could be slightly
modified to perform some types of many-to-many RIC tasks.


title:
Record-breaking statistics for random walks in the presence of
  measurement error and noise

abstract:
  We address the question of distance record-setting by a random walker in the
presence of measurement error, $\delta$, and additive noise, $\gamma$ and show
that the mean number of (upper) records up to $n$ steps still grows universally
as $< R_n> \sim n^{1/2}$ for large $n$ for all jump distributions, including
L\'evy flights, and for all $\delta$ and $\gamma$. In contrast to the universal
growth exponent of 1/2, the pace of record setting, measured by the pre-factor
of $n^{1/2}$, depends on $\delta$ and $\gamma$. In the absence of noise
($\gamma=0$), the pre-factor $S(\delta)$ is evaluated explicitly for arbitrary
jump distributions and it decreases monotonically with increasing $\delta$
whereas, in case of perfect measurement $(\delta=0)$, the corresponding
pre-factor $T(\gamma)$ increases with $\gamma$. Our analytical results are
supported by extensive numerical simulations and qualitatively similar results
are found in two and three dimensions.


title: A probabilistic approach for enumeration of certain Young tableaux

abstract:
  In this paper we establish an order statistics model of Young tableaux.
Multiple integration over nested simplexes is applied to the enumeration of
Young tableaux. A brief proof of Frobenius-Young's and Aitken's formulas is
given. Partially standard Young tableaux and special truncated shapes including
tableaux with a hole are discussed, the associated product formulas are given.


title:
Phishing Dynamic Evolving Neural Fuzzy Framework for Online Detection
  Zero-day Phishing Email

abstract:
  Phishing is a kind of attack in which criminals use spoofed emails and
fraudulent web sites to trick financial organization and customers. Criminals
try to lure online users by convincing them to reveal the username, passwords,
credit card number and updating account information or fill billing
information.


title: General inner products for energy eigenstates

abstract:
  The features of the inner products between all the types of real and
complex-energy solutions of the Schr\"odinger equation for 1-dimensional
cut-off quantum potentials are worked out using a Gaussian regularization. A
general Master Solution is introduced which describes any of the above
solutions as particular cases. From it, a Master Inner Product is obtained
which yields all the particular products. We show that the Outgoing and the
Incoming Boundary Conditions fully determine the location of the momenta
respectively in the lower and upper half complex plane even for purely
imaginary momenta (anti-bound and bound solutions).


title: Neutrino Masses and TeV-scale Particles Testable at the LHC

abstract:
  We consider a scenario in which TeV-scale particles belonging to weak-isospin
multiplets higher than triplets lead to novel seesaw mechanisms different from
conventional type I, II and III seesaw models. Besides an appealing testability
of these mechanisms at the LHC, the model with Majorana quintuplets with
imposed discrete symmetry may provide viable dark matter candidate.


title:
Temporal evolution of Seebeck coefficient in an ac driven strongly
  correlated quantum dot

abstract:
  We study the response of the thermopower of a quantum dot in the Kondo regime
to sinusoidal displacement of the dot energy level via a gate voltage using
time dependent non-crossing approximation and linear response Onsager
relations. Instantaneous thermopower begins to exhibit complex fluctuations
when the driving amplitude is increased at constant driving frequency. We also
find that the time averaged thermopower decreases steadily until it saturates
at constant driving amplitude as a function of inverse driving frequency. On
the other hand, time averaged thermopower is found to be quite sensitive to
ambient temperature at all driving frequencies for large driving amplitudes. We
discuss the underlying microscopic mechanism for these peculiarities based on
the behaviour of the dot density of states.


title: Complex manifolds with maximal torus actions

abstract:
  In this paper, we introduce the notion of maximal actions of compact tori on
smooth manifolds and study compact connected complex manifolds equipped with
maximal actions of compact tori. We give a complete classification of such
manifolds, in terms of combinatorial objects, which are triples $(\Delta,
\mathfrak{h}, G)$ of nonsingular complete fan $\Delta$ in $\mathfrak{g}$,
complex vector subspace $\mathfrak{h}$ of $\mathfrak{g}^{\mathbb{C}}$ and
compact torus $G$ satisfying certain conditions. We also give an equivalence of
categories with suitable definitions of morphisms in these families, like toric
geometry.
  We obtain several results as applications of our equivalence of categories;
complex structures on moment-angle manifolds, classification of holomorphic
nondegenerate $\mathbb{C}^n$-actions on compact connected complex manifolds of
complex dimension $n$, and construction of concrete examples of non-K\"{a}hler
manifolds.


title:
Cross-Gramian-Based Combined State and Parameter Reduction for
  Large-Scale Control Systems

abstract:
  This work introduces the empirical cross gramian for
multiple-input-multiple-output systems. The cross gramian is a tool for
reducing the state space of control systems, which conjoins controllability and
observability information into a single matrix and does not require balancing.
Its empirical gramian variant extends the application of the cross gramian to
nonlinear systems. Furthermore, for parametrized systems, the empirical
gramians can also be utilized for sensitivity analysis or parameter
identification and thus for parameter reduction. This work also introduces the
empirical joint gramian, which is derived from the empirical cross gramian. The
joint gramian not only allows a reduction of the parameter space, but also the
combined state and parameter space reduction, which is tested on a linear and a
nonlinear control system. Controllability- and observability-based combined
reduction methods are also presented, which are benchmarked against the joint
gramian.


title:
Projection Design For Statistical Compressive Sensing: A Tight Frame
  Based Approach

abstract:
  In this paper, we develop a framework to design sensing matrices for
compressive sensing applications that lead to good mean squared error (MSE)
performance subject to sensing cost constraints. By capitalizing on the MSE of
the oracle estimator, whose performance has been shown to act as a benchmark to
the performance of standard sparse recovery algorithms, we use the fact that a
Parseval tight frame is the closest design - in the Frobenius norm sense - to
the solution of a convex relaxation of the optimization problem that relates to
the minimization of the MSE of the oracle estimator with respect to the
equivalent sensing matrix, subject to sensing energy constraints. Based on this
result, we then propose two sensing matrix designs that exhibit two key
properties: i) the designs are closed form rather than iterative; ii) the
designs exhibit superior performance in relation to other designs in the
literature, which is revealed by our numerical investigation in various
scenarios with different sparse recovery algorithms including basis pursuit
de-noise (BPDN), the Dantzig selector and orthogonal matching pursuit (OMP).


title: Topological amenability is a Borel property

abstract:
  We establish that a second countable locally compact groupoid possessing a
continuous Haar system is topologically amenable if and only if it is Borel
amenable. We give some examples and applications.


title: Two-Dimensional Toda-Heisenberg Lattice

abstract:
  We consider a nonlinear model that is a combination of the anisotropic
two-dimensional classical Heisenberg and Toda-like lattices. In the framework
of the Hirota direct approach, we present the field equations of this model as
a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy,
and derive its N-soliton solutions.


title: A spectral sequence for the homology of a finite algebraic delooping

abstract:
  In the world of chain complexes E_n-algebras are the analogues of based
n-fold loop spaces in the category of topological spaces. Fresse showed that
operadic E_n-homology of an E_n-algebra computes the homology of an n-fold
algebraic delooping. The aim of this paper is to construct two spectral
sequences for calculating these homology groups and to treat some concrete
classes of examples such as Hochschild cochains, graded polynomial algebras and
chains on iterated loop spaces. In characteristic zero we gain an
identification of the summands in Pirashvili's Hodge decomposition of higher
order Hochschild homology in terms of derived functors of indecomposables of
Gerstenhaber algebras and as the homology of exterior and symmetric powers of
derived K\"ahler differentials.


title: Separating invariants for arbitrary linear actions of the additive group

abstract:
  We consider an arbitrary representation of the additive group over a field of
characteristic zero and give an explicit description of a finite separating set
in the corresponding ring of invariants.


title:
Multiphoton ionization through the triplet states of Mg by linearly and
  circularly polarized laser pulses

abstract:
  We theoretically study multiphoton ionization through the triplet states of
Mg by linearly polarized (LP) and circularly polarized (CP) fs laser pulses.
After the construction of the atomic basis using the frozen-core Hartree-Fock
potential (FCHFP) as well as the model potential (MP) approaches for both
singlet and triplet series which show rather good agreements with the existing
data in terms of state energies and dipole matrix elements, we solve
time-dependent Schr\"{o}dinger equations with $3s3p$ $^{3}P_{1}$ as an initial
state, and calculate the total ionization yield and photoelectron energy
spectra (PES).


title: The SETI Episode in the 1967 Discovery of Pulsars

abstract:
  In the winter of 1967 Cambridge radio astronomers discovered a new type of
radio source of such an artificial seeming nature that for a few weeks some
members of the group had to seriously consider whether they had discovered an
extraterrestrial intelligence. Although their investigations lead them to a
natural explanation (they had discovered pulsars), they had discussed the
implications if it was indeed an artificial source: how to verify such a
conclusion and how to announce it, and whether such a discovery might be
dangerous. In this they presaged many of the components of the SETI Detection
Protocols and the proposed Reply Protocols which have been used to guide the
responses of groups dealing with the detection of an extraterrestrial
intelligence. These Protocols were only established some twenty five years
later in the 1990s and 2000s. Using contemporary and near-contemporary
documentation and later recollections, this paper discusses in detail what
happened that winter.


title: Chiral and U_A(1) symmetry in correlation functions in medium

abstract:
  In this review, we will discuss how the chiral symmetry and U_A(1) breaking
effects are reflected in the correlation functions. Using the Banks-Casher
formula, one can identify the density of zero eigenvalues to be the common
ingredient that governs the chiral symmetry breaking in correlation functions
between currents composed of light quarks with or without a heavy quark.
Similarly the presence of the U_A(1) breaking effect is determined through the
contribution of the topologically non trivial configurations that depends on
the number of flavors. We also discuss how the symmetry breaking effects are
reflected in the gluon correlation functions. Finally, we review the Witten
Veneziano formula for the eta' mass in medium.


title: Cosmological Constraints on Variable Warm Dark Matter

abstract:
  Although $\Lambda$CDM model is very successful in many aspects, it has been
seriously challenged. Recently, warm dark matter (WDM) remarkably rose as an
alternative of cold dark matter (CDM). In the literature, many attempts have
been made to determine the equation-of-state parameter (EoS) of WDM. However,
in most of the previous works, it is usually assumed that the EoS of dark
matter (DM) is constant (and usually the EoS of dark energy is also constant).
Obviously, this assumption is fairly restrictive. It is more natural to assume
a variable EoS for WDM (and dark energy). In the present work, we try to
constrain the EoS of variable WDM with the current cosmological observations.
We find that the best fits indicate WDM, while CDM is still consistent with the
current observational data. However, $\Lambda$CDM is still better than WDM
models from the viewpoint of goodness-of-fit. So, in order to distinguish WDM
and CDM, the further observations on the small/galactic scale are required. On
the other hand, in this work we also consider WDM whose EoS is constant, while
the role of dark energy is played by various models. We find that the
cosmological constraint on the constant EoS of WDM is fairly robust.


title:
Experimental and theoretical analysis of the upper critical field in FSF
  trilayers

abstract:
  The upper critical magnetic field H_{c2} in thin-film FSF trilayer spin-valve
cores is studied experimentally and theoretically in geometries perpendicular
and parallel to the heterostructure surface. The series of samples with
variable thicknesses of the bottom and of the top Cu_{41}Ni_{59} F-layers are
prepared in a single run, utilizing a wedge deposition technique. The critical
field H_{c2} is measured in the temperature range $0.4-8$ K and for magnetic
fields up to 9 Tesla. A transition from oscillatory to reentrant behavior of
the superconducting transition temperature versus F-layers thickness, induced
by an external magnetic field, has been observed for the first time. In order
to properly interpret the experimental data, we develop a quasiclassical
theory, enabling one to evaluate the temperature dependence of the critical
field and the superconducting transition temperature for an arbitrary set of
the system parameters. A fairly good agreement between our experimental data
and theoretical predictions is demonstrated for all samples, using a single set
of fit parameters. This confirms adequacy of the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) physics in determining the unusual
superconducting properties of the studied Cu_{41}Ni_{59}/Nb/Cu_{41}Ni_{59}
spin-valve core trilayers.


title:
Effects of laser polarization on photoelectron angular distribution
  through laser-induced continuum structure

abstract:
  We theoretically investigate the effects of laser polarization on
photoelectron angular distribution through laser-induced continuum structure.
We focus on a polarization geometry where the probe and dressing lasers are
both linearly polarized, and change the relative polarization angle between
them. We find that the total ionization yield and the branching ratio into
different ionization channels change as a function of the relative polarization
angle, and accordingly the photoelectron angular distribution is altered. We
present specific results for the $4p_{1/2}$-$6p_{1/2}$ and
$4p_{3/2}$-$6p_{3/2}$ systems of the K atom, and show that the change of the
polarization angle leads to the significant modification of photoelectron
angular distribution.


title:
Tangling clustering instability for small particles in temperature
  stratified turbulence

abstract:
  We study particle clustering in a temperature stratified turbulence with
small finite correlation time. It is shown that the temperature stratified
turbulence strongly increases the degree of compressibility of particle
velocity field. This results in the strong decrease of the threshold for the
excitation of the tangling clustering instability even for small particles. The
tangling clustering instability in the temperature stratified turbulence is
essentially different from the inertial clustering instability that occurs in
non-stratified isotropic and homogeneous turbulence. While the inertial
clustering instability is caused by the centrifugal effect of the turbulent
eddies, the mechanism of the tangling clustering instability is related to the
temperature fluctuations generated by the tangling of the mean temperature
gradient by the velocity fluctuations. Temperature fluctuations produce
pressure fluctuations and cause particle clustering in regions with increased
pressure fluctuations. It is shown that the growth rate of the tangling
clustering instability is much larger than that of the inertial clustering
instability. It is found that depending on the parameters of the turbulence and
the mean temperature gradient there is a preferential particle size at which
the particle clustering due to the tangling clustering instability is more
effective. The particle number density inside the cluster after the saturation
of this instability can be in several orders of magnitude larger than the mean
particle number density. It is also demonstrated that the evaporation of
droplets drastically change the tangling clustering instability, e.g., it
increases the instability threshold in the droplet radius. The tangling
clustering instability is of a great importance, e.g., in atmospheric
turbulence with temperature inversions.


title: Almost Paracontact Finsler Structures on Vector Bundle

abstract:
  In this paper, we define almost paracontact and normal almost paracontact
Finsler structures on a vector bundle and find some conditions for
integrability of these structures. We define paracontact metric, para- Sasakian
and K-paracontact Finsler structures and study some properties of these
structures. For a K-paracontact Finsler structure, we find the vertical and
horizontal flag curvatures. Then, we define vertical ?-flag curvature and prove
that every locally symmetric para-Sasakian Finsler structure has negative
vertical ?-flag curvature. Finally, we define the horizontal and vertical Ricci
tensors of a para-Sasakian Finsler structure and study some curvature
properties of them.


title:
153 MHz GMRT follow-up of steep-spectrum diffuse emission in galaxy
  clusters

abstract:
  In this paper we present new high sensitivity 153 MHz Giant Meterwave Radio
Telescope follow-up observations of the diffuse steep spectrum cluster radio
sources in the galaxy clusters Abell 521, Abell 697, Abell 1682. Abell 521
hosts a relic, and together with Abell 697 it also hosts a giant very steep
spectrum radio halo. Abell 1682 is a more complex system with candidate steep
spectrum diffuse emission. We imaged the diffuse radio emission in these
clusters at 153 MHz, and provided flux density measurements of all the sources
at this frequency. Our new flux density measurements, coupled with the existing
data at higher frequencies, allow us to study the total spectrum of the halos
and relic over at least one order of magnitude in frequency. Our images confirm
the presence of a very steep "diffuse component" in Abell 1682. We found that
the spectrum of the relic in Abell 521 can be fitted by a single power-law with
$\alpha=1.45\pm0.02$ from 153 MHz to 5 GHz. Moreover, we confirm that the halos
in Abell 521 and Abell 697 have a very steep spectrum, with $\alpha=1.8-1.9$
and $\alpha=1.52\pm0.05$ respectively. Even with the inclusion of the 153 MHz
flux density information it is impossible to discriminate between power-law and
curved spectra, as derived from homogeneous turbulent re-acceleration. The
latter are favored on the basis of simple energetic arguments, and we expect
that LOFAR will finally unveil the shape of the spectra of radio halos below
100 MHz, thus providing clues on their origin.


title:
Correlation effects in the electronic structure of the Ni-based
  superconducting KNi2S2

abstract:
  The LDA plus Gutzwiller variational method is used to investigate the
groundstate physical properties of the newly discovered superconducting KNi2S2.
Five Ni-3d Wannier-orbital basis are constructed by the density-functional
theory, to combine with local Coulomb interaction to describe the normal state
electronic structure of Ni-based superconductor. The band structure and the
mass enhanced are studied based on a multiorbital Hubbard model by using
Gutzwiller approximation method. Our results indicate that the correlation
effects lead to the mass enhancement of KNi2S2. Different from the band
structure calculated from the LDA results, there are three energy bands across
the Fermi level along the X-Z line due to the existence of the correlation
effects, which induces a very complicated Fermi surface along the X-Z line. We
have also investigated the variation of the quasi-particle weight factor with
the hole or electron doping and found that the mass enhancement character has
been maintained with the doping.


title:
Coherent phase control in ionization of Magnesium by a bichromatic laser
  field of frequencies \omega and 2\omega

abstract:
  We have investigated the coherent phase control on the (3p^{2}) autoionizing
state (AIS) resonantly coupled with the ground state for Mg through a two- and
a four-photon transition simultaneously, using a bichromatic linearly polarized
laser field. The frequency is chosen such that the lasers are tunable around
resonance with the transition
  (3s^{2}(^{1}S^e)\rightarrow 3p^{2}(^{1}S^e)), which implies (\omega_{f}=2.11)
eV and (\omega_{h}=4.22) eV. We are interested in the modification of
autoionizing (AI) line shape through the relative phase and laser intensities.
A strong phase dependence on the total ionization yield and ionization rate is
found. We also performed a time-dependent calculation which takes into
consideration all the resonant states of the process.


title:
Multiphoton ionization of the calcium atom by linearly and circularly
  polarized laser fields

abstract:
  We theoretically study multiphoton ionization of the Ca atom irradiated by
the second (photon energy 3.1 eV) and third (photon energy 4.65 eV) harmonics
of Ti:sapphire laser pulses (photon energy 1.55 eV). Because of the dense
energy level structure the second and third harmonics of a Ti:sapphire laser
are nearly single-photon resonant with the ${4s4p}$ $^1P^o$ and ${4s5p}$
$^1P^o$ states, respectively. Although two-photon ionization takes place
through the near-resonant intermediate states with the same symmetry in both
cases, it turns out that there are significant differences between them. The
photoelectron energy spectra exhibit the absence/presence of substructures.
More interestingly, the photoelectron angular distributions clearly show that
the main contribution to the ionization processes by the third harmonic arises
from the far off-resonant ${4s4p}$ $^1P^o$ state rather than the near-resonant
${4s5p}$ $^1P^o$ state. These findings can be attributed to the fact that the
dipole moment for the ${4s^2}$ $^1S^e$ - ${4s5p}$ $^1P^o$ transition is much
smaller than that for the ${4s^2}$ $^1S^e$ - ${4s4p}$ $^1P^o$ transition.


title: Coupling and relaxed commutant lifting

abstract:
  A Redheffer type description of the set of all contractive solutions to the
relaxed commutant lifting problem is given. The description involves a set of
Schur class functions which is obtained by combining the method of isometric
coupling with results on isometric realizations. For a number of special cases,
including the case of the classical commutant lifting theorem, the description
yields a proper parameterization of the set of all contractive solutions, but
examples show that, in general, the Schur class function determining the
contractive lifting does not have to be unique. Also some sufficient conditions
are given guaranteeing that the corresponding relaxed commutant lifting problem
has only one solution.


title: Neutrino Mass Matrix Textures: A Data-driven Approach

abstract:
  We analyze the neutrino mass matrix entries and their correlations in a
probabilistic fashion, constructing probability distribution functions using
the latest results from neutrino oscillation fits. Two cases are considered:
the standard three neutrino scenario as well as the inclusion of a new sterile
neutrino that potentially explains the reactor and gallium anomalies. We
discuss the current limits and future perspectives on the mass matrix elements
that can be useful for model building.


title: On the convergence of the Metropolis-Hastings Markov chains

abstract:
  In this paper we study Markov chains associated with the Metropolis-Hastings
algorithm. We consider conditions under which the sequence of the successive
densities of such a chain converges to the target density according to the
total variation distance for any choice of the initial density. In particular
we prove that the positiveness of the proposal density is enough for the chain
to converge. The content of this work basically presents a stand alone proof
that the reversibility along with the kernel positivity imply the convergence.


title:
Possibility for $J/\Psi$ suppression in high multiplicity proton-proton
  collisions at $\sqrt{s_{NN}}=7\,$TeV

abstract:
  We study $J/\Psi$ absorption in high multiplicity proton-proton (pp)
collisions at $\sqrt {s_{NN}}=7\,$TeV. We predict a modification of the
$J/\Psi$-yield within the UrQMD transport approach, where explicit interactions
of the $J/\Psi$ with the surrounding comovers and a prehadronic phase with
adjusted cross sections and $J/\Psi$ melting is included. We present the analog
of the nuclear modification factor in pp collisions at various charged particle
multiplicities. It turns out that $J/\Psi$-Mesons may be suppressed towards
higher particle multiplicities in pp collisions at LHC energies.


title:
Noncommutative geometry in quantum field theory and the cosmogenic
  neutrino physics at the extreme energies

abstract:
  Analysis of the covariant theta-exact noncommutative (NC) gauge field theory
(GFT), inspired by high energy cosmic rays experiments, is performed in the
framework of the inelastic neutrino-nucleon scatterings. Next we have have
found neutrino two-point function and shows a closed form decoupled from the
hard ultraviolet (UV) divergent term, from softened ultraviolet/infrared
(UV/IR) mixing term, and from the finite terms as well. For a certain choice of
the noncommutative parameter theta which preserves unitarity, problematic UV
divergent and UV/IR mixing terms vanish. Non-perturbative modifications of the
neutrino dispersion relations are assymptotically independent of the scale of
noncommutativity in both, the low and high energy limits and may allow
superluminal propagation.


title:
About Brezis-Merle Problem with holderian condition: the case of one or
  two blow-up points

abstract:
  We give a compactness result for Brezis-Merle Problem with holderian
condition. We look to the case of one or two blow-up points.


title: Sigma theory for Bredon modules

abstract:
  We develop new invariants similar to the Bieri-Strebel-Neumann-Renz
invariants but in the category of Bredon modules (with respect to the class of
the finite subgroups of G). We prove that for virtually soluble groups of type
FP_{\infty} and finite extension of the Thompson group F the new invariants
coincide with the classical ones.


title:
Robust synchronization of an arbitrary number of spin-torque driven
  vortex nanooscillators

abstract:
  Non-linear magnetization dynamics in ferromagnetic nanoelements excited by
the spin-polarized dc-current is one of the most intensively studied phenomena
in solid state magnetism. Despite immense efforts, synchronization of
oscillations induced in several such nanoelements (spin-torque driven
nanooscillators, or STNO) still represents a major challenge both from the
fundamental and technological points of view. In this paper we propose a system
where synchronization of any number of STNOs, represented by magnetization
vortices inside squared nanoelements, can be easily achieved. Using full-scale
micromagnetic simulations we show that synchronization of these STNOs is
extremely dynamically stable due to their very large coupling energy provided
by the magnetodipolar interaction. Finally, we demonstrate that our concept
allows robust synchronization of an arbitrary number of STNOs (arranged either
as a 1D chain or as a 2D array), even when current supplying nanocontacts have
a broad size distribution.


title: Andreev experiments on superconductor/ferromagnet point contacts

abstract:
  Andreev reflection is a smart tool to investigate the spin polarisation P of
the current through point contacts between a superconductor and a ferromagnet.
We compare different models to extract P from experimental data and investigate
the dependence of P on different contact parameters.


title: Flavor physics and CP violation

abstract:
  Lectures on flavor physics presented at the 2012 CERN HEP Summer School.
Content: 1) flavor physics within the Standard Model, 2) phenomenology of B and
D decays, 3) flavor physics beyond the Standard Model.


title: Singularities of affine equidistants: projections and contacts

abstract:
  Using standard methods for studying singularities of projections and of
contacts, we classify the stable singularities of affine $\lambda$-equidistants
of $n$-dimensional closed submanifolds of $\mathbb R^q$, for $q\leq 2n$,
whenever $(2n,q)$ is a pair of nice dimensions.


title:
Non-perturbative approach to the problem of anomalous FB asymmetry in
  top pair production at TEVATRON

abstract:
  We apply Bogoliubov compensation principle to the problem of forward-backward
asymmetry in $t \bar t$ production at TEVATRON. The non-trivial solution of
compensation equation for anomalous four-fermion interaction effective
interaction of doublets of heavy and light quarks leads to possibility of
existence of $\bar t u,\, \bar b d$ vector bound states (resonance). The
coupling of the bound state to $\bar t,\,u$ pair is calculated. With this
result we obtain satisfactory description of totality of data on the effect of
FB asymmetry including slope of effect dependence on invariant $t \bar t$ mass.
Predictions for the resonance mass and production cross-section at LHC are
presented.


title: Deformation in 28Si* produced via 16O + 12C reaction

abstract:
  The energy spectra of the $\alpha$ particles emitted in the reactions
$^{16}$O (7-10 MeV/nucleon) + $^{12}$C have been measured in the center of mass
angular range of 25$^\circ$ $\lesssim \theta_{c.m.} \lesssim$ 70$^\circ$. The
experimental energy spectra have been compared with those obtained from the
statistical model calculation with "deformability" parameters predicted by
rotating liquid drop model (RLDM) and also fitted the same with optimized
"deformability" parameters, which are quite different from the respective RLDM
values. The data have also been found to be explained quite well using "frozen"
deformation approximation, where the "deformability" parameters have been kept
fixed at RLDM values of the parent nucleus throughout the decay process. The
effective radius in the latter case is smaller compared to that obtained using
the optimized parameters; however, in both cases, the deformations (effective
radii) are larger than the corresponding RLDM values. So, considering the
uncertainties in the estimation of actual compound nucleus deformations, it
can, only qualitatively, be said that equilibrium orbiting, which is similar to
particle evaporation in time scale, could also be one of the contributing
factors for the observed deformation.


title: Collective Suppression of Linewidths in Circuit QED

abstract:
  We report the experimental observation, and a theoretical explanation, of
collective suppression of linewidths for multiple superconducting qubits
coupled to a good cavity. This demonstrates how strong qubit-cavity coupling
can significantly modify the dephasing and dissipation processes that might be
expected for individual qubits, and can potentially improve coherence times in
many-body circuit QED.


title:
Complete relativistic second-order dissipative hydrodynamics from the
  entropy principle

abstract:
  We present a new derivation of relativistic dissipative hydrodynamic
equations, which invokes the second law of thermodynamics for the entropy
four-current expressed in terms of the single-particle phase-space distribution
function obtained from Grad's 14-moment approximation. This derivation is
complete in the sense that all the second-order transport coefficients are
uniquely determined within a single theoretical framework. In particular, this
removes the long-standing ambiguity in the relaxation time for bulk viscosity
thereby eliminating one of the uncertainties in the extraction of the shear
viscosity to entropy density ratio from confrontation with the anisotropic flow
data in relativistic heavy-ion collisions. We find that in the one-dimensional
scaling expansion, these transport coefficients prevent the occurrence of
cavitation even for rather large values of the bulk viscosity estimated in
lattice QCD.


title:
Length of separable states and symmetrical informationally complete
  (SIC) POVM

abstract:
  This short note reviews the notion and fundamental properties of SIC-POVM and
its connection with the length of separable states. We also review the
t-design.


title:
On the Fibonacci and Lucas numbers, their sums and permanents of one
  type of Hessenberg matrices

abstract:
  At this paper, we derive some relationships between permanents of one type of
lower-Hessenberg matrix and the Fibonacci and Lucas numbers and their sums.


title:
Quantization of hypercharge in gauge groups locally isomorphic but
  globally nonisomorphic to SU(3)_c X SU(2)_L X U(1)_Y

abstract:
  In the Standard Model the hypercharges of quarks and leptons are not
determined by the gauge group itself. In a recent paper [C. Hattori et al.
Phys. Rev. D83, 015009 (2011)] it is shown that, if the direct product gauge
group G_SM is slightly modified to the semidirect product group G'_SM,
hypercharges are restricted to quantized values as n/6 mod Z (n = 0,1,3,4). In
this brief paper, we examine all of the compact Lie groups locally isomorphic
to G_SM, and show that G'_SM (or its isomorphisms) is the unique possibility
that yields the correct hypercharge quantization.


title: Periods and Hodge structures in perturbative quantum field theory

abstract:
  There is a fruitful interplay between algebraic geometry on the one side and
perturbative quantum field theory on the other side. I review the main relevant
mathematical concepts of periods, Hodge structures and Picard-Fuchs equations
and discuss the connection with Feynman integrals.


title: Flux Quantization Due to Monopole and Dipole Currents

abstract:
  By discussing field-induced quantum interference effects due to monopole
moments and those due to dipole moments on equal footing, their similarities
and differences are clarified. First, we demonstrate the general principle for
flux quantization. For particles carrying a monopole moment, the interference
causes monopole current to oscillate periodically with flux defined as inner
product of field and area, whereas for particles carrying a fixed dipole
moment, the dipole current oscillates periodically with flux vector defined as
cross product of field and trajectory. Our analysis unifies the oscillation of
monopole or dipole currents in various devices, such as SQUID and spin-FET,
into the same physical picture. Second, we show that interference effects can
also happen in open trajectory devices that transport dipole currents, such as
spin Josephson effect, based on the non-gauge field nature of the interference
effects of dipole moments. In addition, we propose that the interference effect
of electric dipoles, known as He-McKellar-Wilkens effect, can be realized by
the bilayer exciton condensates observed in semiconductor heterostructure and
bilayer graphene.


title:
Neutrino masses, dominant neutrinoless double beta decay, and observable
  lepton flavor violation in left-right models and SO(10) grand unification
  with low mass $\bf W_R, Z_R$ bosons

abstract:
  While the detection of $W_R$-boson at the Large Hadron Collider is likely to
resolve the mystery of parity violation in weak interaction, observation of
neutrinoless double beta decay ($0\nu\beta\beta$) is expected to determine
whether neutrinos are Majorana fermions. In this work we consider a class of LR
models with TeV scale $W_R, Z_R$ bosons but having parity restoration at high
scales where they originate from well known Pati-Salam symmetry or $SO(10)$
grand unified theory minimally extended to accommodate inverse seesaw frame
work for neutrino masses. Most dominant new contribution to neutrinoless double
beta decay is noted to occur via $W_L^{-}W_L^{-}$ mediation involving lighter
sterile neutrino exchanges. The next dominant contribution is found to be
through $W_L^{-}W_R^{-}$ mediation involving both light and heavy right-handed
neutrino or sterile neutrino exchanges. The quark-lepton symmetric origin of
the computed value of the Dirac neutrino mass matrix is also found to play a
crucial role in determining these and other results on lepton flavor violating
branching ratios for $\tau \rightarrow e + \gamma$, $\tau \rightarrow \mu +
\gamma$, and $\mu \rightarrow e + \gamma$ accessible to ongoing search
experiments. The underlying non-unitarity matrix is found to manifest in
substantial CP-violating effects even when the leptonic Dirac phase
$\delta_{\rm CP} \simeq 0, \pi, 2 \pi$. Finally we explore a possible origin of
the model in non-supersymmetric SO(10) grand unified theory where, in addition
to low mass $W_R^\pm$ and $Z_R$ bosons accessible to Large Hadron Collider, the
model is found to predict observable neutron-antineutron oscillation and
lepto-quark gauge boson mediated rare kaon decay with $\mbox{Br} \left(K_{\rm
L} \rightarrow \mu\, \bar{e}\right) \simeq \left(10^{-9}- 10^{-11} \right)$.


title:
A Class of infinite dimensional stochastic Processes with unbounded
  Diffusion

abstract:
  The paper studies Dirichlet forms on the classical Wiener space and the
Wiener space over non-compact complete Riemannian manifolds. The diffusion
operator is almost everywhere an unbounded operator on the Cameron--Martin
space. In particular, it is shown that under a class of changes of the
reference measure, quasi-regularity of the form is preserved. We also show that
under these changes of the reference measure, derivative and divergence are
closable with certain closable inverses. We first treat the case of the
classical Wiener space and then we transfer the results to the Wiener space
over a Riemannian manifold.


title: Constraints and symmetry in mechanics of affine motion

abstract:
  The aim of this paper is to perform a deeper geometric analysis of problems
appearing in dynamics of affinely rigid bodies. First of all we present a
geometric interpretation of the polar and two-polar decomposition of affine
motion. Later on some additional constraints imposed on the affine motion are
reviewed, both holonomic and non-holonomic. In particular, we concentrate on
certain natural non-holonomic models of the rotation-less motion. We discuss
both the usual d'Alembert model and the vakonomic dynamics. The resulting
equations are quite different. It is not yet clear which model is practically
better. In any case they both are different from the holonomic constraints
defining the rotation-less motion as a time-dependent family of symmetric
matrices of placements. The latter model seems to be non-geometric and
non-physical. Nevertheless, there are certain relationships between our
non-holonomic models and the polar decomposition.


title:
Two-flavour lattice QCD correlation functions in the deconfinement
  transition region

abstract:
  We report on a lattice QCD calculation with two dynamical flavors of the
isovector vector correlator in the high-temperature phase. We analyze the
correlator in terms of the associated spectral function by performing a fit for
the difference of the thermal and vacuum spectral functions, using also an
exact sum rule that constrains this difference. Additonally we carry out a
direct fit for the thermal spectral function, and obtain good agreement between
the two analyses for frequencies below the two-pion threshold. Under the
assumption that the spectral function is smooth in that region, we give an
estimate of the electrical conductivity.


title:
Non-local approach to kinetic effects on parallel transport in fluid
  models of the scrape-off layer

abstract:
  By using a non-local model, fluid simulations can capture kinetic effects in
the parallel electron heat-flux better than is possible using flux limiters in
the usual diffusive models. Non-local and diffusive models are compared using a
test case representative of an ELM crash in the JET SOL, simulated in one
dimension. The non-local model shows substantially enhanced electron
temperature gradients, which cannot be achieved using a flux limiter. The
performance of the implementation, in the BOUT++ framework, is also analysed to
demonstrate its suitability for application in three-dimensional simulations of
turbulent transport in the SOL.


title: Two types of well followed users in the followership networks of Twitter

abstract:
  In the Twitter blogosphere, the number of followers is probably the most
basic and succinct quantity for measuring popularity of users. However, the
number of followers can be manipulated in various ways; we can even buy
follows. Therefore, alternative popularity measures for Twitter users on the
basis of, for example, users' tweets and retweets, have been developed. In the
present work, we take a purely network approach to this fundamental question.
First, we find that two relatively distinct types of users possessing a large
number of followers exist, in particular for Japanese, Russian, and Korean
users among the seven language groups that we examined. A first type of user
follows a small number of other users. A second type of user follows
approximately the same number of other users as the number of follows that the
user receives. Then, we compare local (i.e., egocentric) followership networks
around the two types of users with many followers. We show that the second
type, which is presumably uninfluential users despite its large number of
followers, is characterized by high link reciprocity, a large number of friends
(i.e., those whom a user follows) for the followers, followers' high link
reciprocity, large clustering coefficient, large fraction of the second type of
users among the followers, and a small PageRank. Our network-based results
support that the number of followers used alone is a misleading measure of
user's popularity. We propose that the number of friends, which is simple to
measure, also helps us to assess the popularity of Twitter users.


title:
Generating far-field orbital angular momenta from near-field optical
  chirality

abstract:
  We demonstrate that nanostructures carefully designed on both sides of a thin
suspended metallic membrane couple light into a chiral near field and transmit
vortex beams through a central aperture that connects the two sides of the
membrane. We show how far-field orbital angular momentum (OAM) indices can be
tailored through nanostructure designs. We reveal the crucial importance of OAM
selection rules imposed by the central aperture and derive OAM summation rules
in perfect agreement with experimental data.


title:
Backward stochastic differential equations associated to jump Markov
  processes and applications

abstract:
  In this paper we study backward stochastic differential equations (BSDEs)
driven by the compensated random measure associated to a given pure jump Markov
process X on a general state space K. We apply these results to prove
well-posedness of a class of nonlinear parabolic differential equations on K,
that generalize the Kolmogorov equation of X. Finally we formulate and solve
optimal control problems for Markov jump processes, relating the value function
and the optimal control law to an appropriate BSDE that also allows to
construct probabilistically the unique solution to the Hamilton-Jacobi-Bellman
equation and to identify it with the value function.


title: Control of dissipation in superconducting films by magnetic stray fields

abstract:
  Hybrid superconducting/magnetic nanostructures on Si substrates have been
built with identical physical dimensions but different magnetic configurations.
By constructing arrays based on Co-dots with in-plane, out-of-plane, and vortex
state magnetic configurations, the stray fields are systematically tuned.
Dissipation in the mixed state of superconductors can be decreased (increased)
by several orders of magnitude by decreasing (increasing) the stray magnetic
fields. Furthermore, ordering of the stray fields over the entire array helps
to suppress dissipation and enhance commensurability effects increasing the
number of dissipation minima.


title:
Variational Bayesian Adaptation of Noise Covariances in Non-Linear
  Kalman Filtering

abstract:
  This paper is considered with joint estimation of state and time-varying
noise covariance matrices in non-linear stochastic state space models. We
present a variational Bayes and Gaussian filtering based algorithm for
efficient computation of the approximate filtering posterior distributions. The
Gaussian filtering based formulation of the non-linear state space model
computation allows usage of efficient Gaussian integration methods such as
unscented transform, cubature integration and Gauss-Hermite integration along
with the classical Taylor series approximations. The performance of the
algorithm is illustrated in a simulated application.


title: Stimulated adiabatic passage in a dissipative Rydberg superatom

abstract:
  We study two-photon excitation of Rydberg states of atoms under stimulated
adiabatic passage with delayed laser pulses. We find that the combination of
strong interaction between the atoms in Rydberg state and the spontaneous decay
of the intermediate exited atomic state leads to the Rydberg excitation of
precisely one atom within the atomic ensemble. The quantum Zeno effect offers a
lucid interpretation of this result: the Rydberg blocked atoms repetitively
scattering photons effectively monitor a randomly excited atom which therefore
remains in the Rydberg state. This system can be used for deterministic
creation and, possibly, extraction of Rydberg atoms or ions one at a time. The
sympathetic monitoring via decay of ancilla particles may find wider
applications for state preparation and probing of interactions in dissipative
many-body systems.


title:
Sufficient conditions for wave instability in three-component
  reaction-diffusion systems

abstract:
  Sufficient conditions for the wave instability in general three-component
reaction-diffusion systems are derived. These conditions are expressed in terms
of the Jacobian matrix of the uniform steady state of the system, and enable us
to determine whether the wave instability can be observed as the mobility of
one of the species is gradually increased. It is found that the instability can
also occur if one of the three species does not diffuse. Our results provide a
useful criterion for searching wave instabilities in reaction-diffusion systems
of various origins.


title: On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions

abstract:
  Quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions are
revisited, and several features of these quantum structures are reviewed. In
particular, the classification problem of (2+1) (A)dS Lie bialgebras is
presented and the associated noncommutative quantum (A)dS spaces are also
analysed. Moreover, the flat limit (or vanishing cosmological constant) of all
these structures leading to (2+1) quantum Poincar\'e algebras and groups is
simultaneously given by considering the cosmological constant as an explicit
Lie algebra parameter in the (A)dS algebras. By making use of this
classification, a three-parameter generalization of the \kappa-deformation for
the (2+1) (A)dS algebras and quantum spacetimes is given. Finally, the same
problem is studied in (3+1) dimensions, where a two-parameter generalization of
the \kappa-(A)dS deformation that preserves the space isotropy is found.


title: A new integral formula for the inverse Fueter mapping theorem

abstract:
  In this paper we provide an alternative method to construct the Fueter
primitive of an axial monogenic function of degree $k$, which is complementary
to the one used in [F. Colombo, I. Sabadini and F. Sommen, The inverse Fueter
mapping theorem in integral form using spherical monogenics, Israel Journal of
Mathematics, 2012]. As a byproduct, we obtain an explicit description of the
kernel of the Fueter mapping. We also apply our method to obtain the Fueter
primitives of the Cauchy kernels with singularities on the unit sphere.


title: Deformed N=2 theories, generalized recursion relations and S-duality

abstract:
  We study the non-perturbative properties of N=2 super conformal field
theories in four dimensions using localization techniques. In particular we
consider SU(2) gauge theories, deformed by a generic epsilon-background, with
four fundamental flavors or with one adjoint hypermultiplet. In both cases we
explicitly compute the first few instanton corrections to the partition
function and the prepotential using Nekrasov's approach. These results allow to
reconstruct exact expressions involving quasi-modular functions of the bare
gauge coupling constant and to show that the prepotential terms satisfy a
modular anomaly equation that takes the form of a recursion relation with an
explicitly epsilon-dependent term. We then investigate the implications of this
recursion relation on the modular properties of the effective theory and find
that with a suitable redefinition of the prepotential and of the effective
coupling it is possible, at least up to the third order in the deformation
parameters, to cast the S-duality relations in the same form as they appear in
the Seiberg-Witten solution of the undeformed theory.


title: ADM analysis and massive gravity

abstract:
  This is a contribution to the Proceedings of the 7th Mathematical Physics
Meeting: Summer School and Conference on Modern Mathematical Physics, held in
Belgrade 09 -- 19 September 2012.
  We give an easily accessible introduction to the ADM decomposition of the
curvature components. After that we review the basic problems associated with
attempts of constructing a viable massive gravity theory. And finally, we
present the metric formulations of ghost-free massive gravity models, and
comment on existence problem of the matrix square root.


title: A three-phase chemical model of hot cores: the formation of glycine

abstract:
  A new chemical model is presented that simulates fully-coupled gas-phase,
grain-surface and bulk-ice chemistry in hot cores. Glycine (NH2CH2COOH), the
simplest amino acid, and related molecules such as glycinal, propionic acid and
propanal, are included in the chemical network. Glycine is found to form in
moderate abundance within and upon dust-grain ices via three radical-addition
mechanisms, with no single mechanism strongly dominant. Glycine production in
the ice occurs over temperatures ~40-120 K. Peak gas-phase glycine fractional
abundances lie in the range 8 x 10^{-11} - 8 x 10^{-9}, occuring at ~200 K, the
evaporation temperature of glycine. A gas-phase mechanism for glycine
production is tested and found insignificant, even under optimal conditions. A
new spectroscopic radiative-transfer model is used, allowing the translation
and comparison of the chemical-model results with observations of specific
sources. Comparison with the nearby hot-core source NGC 6334 IRS1 shows
excellent agreement with integrated line intensities of observed species,
including methyl formate. The results for glycine are consistent with the
current lack of a detection of this molecule toward other sources; the high
evaporation temperature of glycine renders the emission region extremely
compact. Glycine detection with ALMA is predicted to be highly plausible, for
bright, nearby sources with narrow emission lines. Photodissociation of water
and subsequent hydrogen-abstraction from organic molecules by OH, and NH2, are
crucial to the build-up of complex organic species in the ice. The inclusion of
alternative branches within the network of radical-addition reactions appears
important to the abundances of hot-core molecules; less favorable branching
ratios may remedy the anomalously high abundance of glycolaldehyde predicted by
this and previous models.


title: Multi-scale Visual Attention & Saliency Modelling with Decision Theory

abstract:
  Bottom-up saliency, an early human visual processing, behaves like binary
classification of interest and null hypothesis. Its discriminant power, mutual
information of image features and class distribution, is closely related to
saliency value by the well-known centre-surround theory. As classification
accuracy very much depends on window sizes, the discriminant saliency (power)
varies according to sampling scales. Discriminating power estimation in
multi-scales framework needs integrating with wavelet transformation and then
estimating statistical discrepancy of two consecutive scales (centre-surround
windows) by Hidden Markov Tree (HMT) model. Finally, multi-scale discriminant
saliency (MDIS) maps are combined by the maximum information rule to synthesize
a final saliency map. All MDIS maps are evaluated with standard quantitative
tools (NSS,LCC,AUC) on N.Bruce's database with ground truth data as
eye-tracking locations ; as well assessed qualitatively by visual examination
of individual cases. For evaluating MDIS against well-known AIM saliency
method, simulations are needed and described in details with several
interesting conclusions, drawn for further research directions.


title:
Retrieving Atmospheric Dust Opacity on Mars by Imaging Spectroscopy at
  Large Angles

abstract:
  We propose a new method to retrieve the optical depth of Martian aerosols
(AOD) from OMEGA and CRISM hyperspectral imagery at a reference wavelength of 1
{\mu}m. Our method works even if the underlying surface is completely made of
minerals, corresponding to a low contrast between surface and atmospheric dust,
while being observed at a fixed geometry. Minimizing the effect of the surface
reflectance properties on the AOD retrieval is the second principal asset of
our method. The method is based on the parametrization of the radiative
coupling between particles and gas determining, with local altimetry,
acquisition geometry, and the meteorological situation, the absorption band
depth of gaseous CO2. Because the last three factors can be predicted to some
extent, we can define a new parameter {\beta} that expresses specifically the
strength of the gas-aerosols coupling while directly depending on the AOD.
Combining estimations of {\beta} and top of the atmosphere radiance values
extracted from the observed spectra within the CO2 gas band at 2 {\mu}m, we
evaluate the AOD and the surface reflectance by radiative transfer inversion.
One should note that practically {\beta} can be estimated for a large variety
of mineral or icy surfaces with the exception of CO2 ice when its 2 {\mu}m
solid band is not sufficiently saturated. Validation of the proposed method
shows that it is reliable if two conditions are fulfilled: (i) the observation
conditions provide large incidence or/and emergence angles (ii) the aerosol are
vertically well mixed in the atmosphere. Experiments conducted on OMEGA nadir
looking observations as well as CRISM EPF acquisitions with incidence angles
higher than 65{\deg} and 33{\deg} respectively produce very satisfactory
results. Finally in a companion paper the method is applied to monitoring
atmospheric dust spring activity at high southern latitudes on Mars using
OMEGA.


title:
Random field effects on the isotropic quantum Heisenberg model with
  Gaussian random magnetic field distribution

abstract:
  Effect of Gaussian random magnetic field distribution which is centered at
zero on the phase transition properties of isotropic quantum Heisenberg model
has been investigated on two (2D) and three dimensional (3D) lattices within
the framework of effective field theory (EFT) for a two spin cluster (which is
abbreviated as EFT-2). Beside the phase diagrams and the evolution of the
magnetization versus temperature curves with the Gaussian magnetic field
distribution width, critical Gaussian distribution width values, which make the
critical temperature zero, have been obtained for several lattices. Moreover,
it has been concluded that all critical temperatures are of the second order
and reentrant behavior does not exist in the phase diagrams.


title: Epidemiologically optimal static networks from temporal network data

abstract:
  Network epidemiology's most important assumption is that the contact
structure over which infectious diseases propagate can be represented as a
static network. However, contacts are highly dynamic, changing at many time
scales. In this paper, we investigate conceptually simple methods to construct
static graphs for network epidemiology from temporal contact data. We evaluate
these methods on empirical and synthetic model data. For almost all our cases,
the network representation that captures most relevant information is a
so-called exponential-threshold network. In these, each contact contributes
with a weight decreasing exponentially with time, and there is an edge between
a pair of vertices if the weight between them exceeds a threshold. Networks of
aggregated contacts over an optimally chosen time window perform almost as good
as the exponential-threshold networks. On the other hand, networks of
accumulated contacts over the entire sampling time, and networks of concurrent
partnerships, perform worse. We discuss these observations in the context of
the temporal and topological structure of the data sets.


title: Non-local order in Mott insulators, Duality and Wilson Loops

abstract:
  It is shown that the Mott insulating and superfluid phases of bosons in an
optical lattice may be distinguished by a non-local 'parity order parameter'
which is directly accessible via single site resolution imaging. In one
dimension, the lattice Bose model is dual to a classical interface roughening
problem. We use known exact results from the latter to prove that the parity
order parameter exhibits long range order in the Mott insulating phase,
consistent with recent experiments by Endres et al. [Science 334, 200 (2011)].
In two spatial dimensions, the parity order parameter can be expressed in terms
of an equal time Wilson loop of a non-trivial U(1) gauge theory in 2+1
dimensions which exhibits a transition between a Coulomb and a confining phase.
The negative logarithm of the parity order parameter obeys a perimeter law in
the Mott insulator and is enhanced by a logarithmic factor in the superfluid.


title:
Mode space approach for tight-binding transport simulations in graphene
  nanoribbon field-effect transistors including phonon scattering

abstract:
  In this paper, we present a mode space method for atomistic non-equilibrium
Green's function simulations of armchair graphene nanoribbon FETs that includes
electron-phonon scattering. With reference to both conventional and tunnel FET
structures, we show that, in the ideal case of a smooth electrostatic
potential, the modes can be decoupled in different groups without any loss of
accuracy. Thus, inter-subband scattering due to electron-phonon interactions is
properly accounted for, while the overall simulation time considerably improves
with respect to real-space, with a speed-up factor of 40 for a 1.5-nm-wide
device. Such factor increases with the square of the device width. We also
discuss the accuracy of two commonly used approximations of the scattering
self-energies: the neglect of the off-diagonal entries in the mode-space
expressions and the neglect of the Hermitian part of the retarded self-energy.
While the latter is an acceptable approximation in most bias conditions, the
former is somewhat inaccurate when the device is in the off-state and optical
phonon scattering is essential in determining the current via band-to-band
tunneling. Finally, we show that, in the presence of a disordered potential, a
coupled mode space approach is necessary, but the results are still accurate
compared to the real-space solution.


title:
The consequences of complex Lorentz force and violation of Lorenz gauge
  condition

abstract:
  The complex Lorentz force is introduced and extended to include magnetic
scalar. This scalar is found to be associated with a prevailing magnetic field
permeating the whole space. It also introduce an extra force in Lorentz complex
force. The magnetic scalar is associated with the vacuum energy. The
Proca-Maxwell's massive electrodynamics is derived from the extend
current-density transformations. Proca-Maxwell's theory is found to be
invariant under the extended gauge transformations (current-charge density).
The Lorenz gauge condition is shown to express the photon charge conservation.
Any violation of Lorenz gauge (photon charge) or electronic charge conservation
would lead to spin zero scalar particles. This is manifested in
superconductivity. The total charge comprising the electron and photon is
always conserved. Owing to superconductivity, the photon charge is related to
electron charge by $e_p=\sqrt{\frac{m_p}{m_e}}\,\,e$. Photons inside
superconductors are shown to be massive. It is shown that Maxwell's equations
expressed in complex form are more convenient to study duality transformations.


title: Shock heating of the merging galaxy cluster A521

abstract:
  A521 is an interacting galaxy cluster located at z=0.247, hosting a low
frequency radio halo connected to an eastern radio relic. Previous Chandra
observations hinted at the presence of an X-ray brightness edge at the position
of the relic, which may be a shock front. We analyze a deep observation of A521
recently performed with XMM-Newton in order to probe the cluster structure up
to the outermost regions covered by the radio emission. The cluster atmosphere
exhibits various brightness and temperature anisotropies. In particular, two
cluster cores appear to be separated by two cold fronts. We find two shock
fronts, one that was suggested by Chandra and that is propagating to the east,
and another to the southwestern cluster outskirt. The two main interacting
clusters appear to be separated by a shock heated region, which exhibits a
spatial correlation with the radio halo. The outer edge of the radio relic
coincides spatially with a shock front, suggesting this shock is responsible
for the generation of cosmic ray electrons in the relic. The propagation
direction and Mach number of the shock front derived from the gas density jump,
M = 2.4 +/- 0.2, are consistent with expectations from the radio spectral
index, under the assumption of Fermi I acceleration mechanism.


title: Hydrodynamic gradient expansion in gauge theory plasmas

abstract:
  We utilize the fluid-gravity duality to investigate the large order behavior
of hydrodynamic gradient expansion of the dynamics of a gauge theory plasma
system. This corresponds to the inclusion of dissipative terms and transport
coefficients of very high order. Using the dual gravity description, we
calculate numerically the form of the stress tensor for a boost-invariant flow
in a hydrodynamic expansion up to terms with 240 derivatives. We observe a
factorial growth of gradient contributions at large orders, which indicates a
zero radius of convergence of the hydrodynamic series. Furthermore, we identify
the leading singularity in the Borel transform of the hydrodynamic energy
density with the lowest nonhydrodynamic excitation corresponding to a
`nonhydrodynamic' quasinormal mode on the gravity side.


title:
A PDE approach to fractional diffusion in general domains: a priori
  error analysis

abstract:
  The purpose of this work is the study of solution techniques for problems
involving fractional powers of symmetric coercive elliptic operators in a
bounded domain with Dirichlet boundary conditions. These operators can be
realized as the Dirichlet to Neumann map for a degenerate/singular elliptic
problem posed on a semi-infinite cylinder, which we analyze in the framework of
weighted Sobolev spaces. Motivated by the rapid decay of the solution of this
problem, we propose a truncation that is suitable for numerical approximation.
We discretize this truncation using first degree tensor product finite
elements. We derive a priori error estimates in weighted Sobolev spaces. The
estimates exhibit optimal regularity but suboptimal order for quasi-uniform
meshes. For anisotropic meshes, instead, they are quasi-optimal in both order
and regularity. We present numerical experiments to illustrate the method's
performance.


title:
Radial evolution of the wave-vector anisotropy of solar wind turbulence
  between 0.3 and 1 AU

abstract:
  We present observations of the power spectral anisotropy in wave-vector space
of solar wind turbulence, and study how it evolves in interplanetary space with
increasing heliocentric distance. For this purpose we use magnetic field
measurements made by the Helios-2 spacecraft at three positions between 0.29
and 0.9 AU. To derive the power spectral density (PSD) in $(k_\parallel,
k_\bot)$-space based on single-satellite measurements is a challenging task not
yet accomplished previously. Here we derive the spectrum
$\rm{PSD}_{\rm{2D}}$($\rm{k}_\parallel$, $\rm{k}_\bot$) from the spatial
correlation function $\rm{CF}_{\rm{2D}}(r_\parallel, r_\bot)$ by a
transformation according to the projection-slice theorem. We find the so
constructed PSDs to be distributed in k-space mainly along a ridge that is more
inclined toward the $\rm{k}_\bot$ than $\rm{k}_\parallel$ axis, a new result
which probably indicates preferential cascading of turbulent energy along the
$\rm{k}_\bot$ direction. Furthermore, this ridge of the distribution is found
to gradually get closer to the $\rm{k}_\bot$ axis, as the outer scale length of
the turbulence becomes larger while the solar wind flows further away from the
Sun. In the vicinity of the $\rm{k}_\parallel$ axis, there appears a minor
spectral component that probably corresponds to quasi-parallel Alfv\'enic
fluctuations. Their relative contribution to the total spectral density tends
to decrease with radial distance. These findings suggest that solar wind
turbulence undergoes an anisotropic cascade transporting most of its magnetic
energy towards larger $\rm{k}_\bot$, and that the anisotropy in the inertial
range is radially developing further at scales that are relatively far from the
ever increasing outer scale.


title:
Monitoring Atmospheric Dust Spring Activity at High Southern Latitudes
  on Mars using OMEGA

abstract:
  This article presents a monitoring of the atmospheric dust in the south polar
region during spring of martian year 27. Our goal is to contribute to
identifying the regions where the dust concentration in the atmosphere shows
specific temporal patterns, for instance high, variable, and on the rise due to
lifting or transport mechanisms. This identification is performed in relation
with the seasonal ice regression. Based on a phenomenological examination of
the previous results, hypothesis regarding the origin of aerosol activity of
the southern polar region are proposed. This is of paramount importance since
local dust storms generated in this region sometimes grow to global
proportions. T


title: Majorana edge states in two atomic wires coupled by pair-hopping

abstract:
  We present evidence for the existence of Majorana edge states in a number
conserving theory describing a system of spinless fermions on two wires that
are coupled by a pair hopping. Our analysis is based on the combination of a
qualitative low energy approach and numerical techniques using the Density
Matrix Renormalization Group. We also discuss an experimental realization of
pair-hopping interactions in cold atom gases confined in optical lattices, and
its possible alternative applications to quantum simulation.


title: Segregation of impurities in GaAs and InAs nanowires

abstract:
  Using ab initio methods based on the density functional theory, we
investigate the segregation and formation energies for various dopants (Si, Be,
Zn, Sn), commonly used to obtain p- or ntype conductivity in GaAs and InAs
nanowires. The distribution of Au and O atoms, which may be unintentionally
incorporated during the wire growth, is also studied. The calculations
performed for nanowires of zinc blende and wurtzite structure show that the
distribution of most of the impurities depends on the crystal structure of the
wires. For example, it is shown that the same growth conditions can lead to
lower energy for Si substituting Ga (donor) in the wire of wurtzite structure
and substituting As (acceptor) in the wire of zinc blende structure. In
contrast, we obtain that gold and oxygen atoms always tend to stay at the
lateral surfaces of GaAs and InAs nanowires, in agreement with experimental
findings, while for beryllium the lowest energies are found when the impurities
are located in sites in the center of the wurtzite wire or along the [1; 0; 1]
axis from surface to the center of the zinc blende wire, what can explain the
recently observed diffusion of this impurity into the volume of GaAs wires.


title:
Two Particle-Hole Excitations in Charged Current Quasielastic
  Antineutrino--Nucleus Scattering

abstract:
  We evaluate the quasielastic and multinucleon contributions to the
antineutrino nucleus scattering cross section and compare our results with the
recent MiniBooNE data. We use a local Fermi gas model that includes RPA
correlations and gets the multinucleon part from a systematic many body
expansion of the $W$ boson selfenergy in the nuclear medium. The same model had
been quite successful for the neutrino cross section and contains no new
parameters. We have also analysed the relevance of 2p2h events for the
antineutrino energy reconstruction.


title: Rashba split surface states in BiTeBr

abstract:
  Within density functional theory, we study bulk band structure and surface
states of BiTeBr. We consider both ordered and disordered phases which differ
in atomic order in the Te-Br sublattice. On the basis of relativistic ab-initio
calculations, we show that the ordered BiTeBr is energetically preferable as
compared with the disordered one. We demonstrate that both Te- and
Br-terminated surfaces of the ordered BiTeBr hold surface states with a giant
spin-orbit splitting. The Te-terminated surface-state spin splitting has the
Rashba-type behavior with the coupling parameter \alpha_R ~ 2 eV\AA.


title: Unobstructedness of deformations of weak Fano manifolds

abstract:
  We prove that a weak Fano manifold has unobstructed deformations. For a
general variety, we investigate conditions under which a variety is necessarily
obstructed.


title:
PAH emission in the proplyd HST10: what is the mechanism behind
  photoevaporation?

abstract:
  Proplyds are photodissociation region (PDR)-like cometary cocoons around
young stars which are thought to originate through photo-evaporation of the
central protoplanetary disk by external UV radiation from the nearby OB stars.
This letter presents spatially resolved mid-infrared imaging and spectroscopy
of the proplyd HST10 obtained with the VLT/VISIR instrument. These observations
allow us to detect Polycyclic Aromatic Hydrocarbons (PAH) emission in the
proplyd photodissociation region and to study the general properties of PAHs in
proplyds for the first time. We find that PAHs in HST10 are mostly neutral and
at least 50 times less abundant than typical values found for the diffuse ISM
or the nearby Orion Bar. With such a low PAH abundance, photoelectric heating
is significantly reduced. If this low abundance pertains also to the original
disk material, gas heating rates could be too low to efficiently drive
photoevaporation unless other processes can be identified. Alternatively, the
model behind the formation of proplyds as evaporating disks may have to be
revised.


title:
Tigers vs Lions: Towards Characterizing Solitary and Group User Behavior
  in MMORPG

abstract:
  The development of Internet technologies enables software developers to build
virtual worlds such as Massively Multi-Player Online Role-Playing Games
(MMORPGs). The population of such games shows super-linear growing tendency. It
is estimated that the number of Internet users subscribed in MMORPGs is more
than 22 million worldwide [1]. However, only little is known about the
characteristics of traffic generated by such games as well as the behavior of
their subscribers. In this paper, we characterize the traffic behavior of World
of Warcraft, the most subscribed MMORPG in the world, by analyzing Internet
traffic data sets collected from a European tier-1 ISP in two different time
periods. We find that World of Warcraft is an influential application regarding
the time spent by users (1.76 and 4.17 Hours/day on average in our
measurement), while its traffic share is comparatively low (< 1 %). In this
respect, we look at the World of Warcraft subscriber's gaming behavior by
categorizing them into two different types of users (solitary users and group
users) and compare these two groups in relation to the playing behavior
(duration as the metric) and the in-game behavior (distance as the metric).


title:
Mixed Dimensionality of Confined Conducting Electrons in the Surface
  Region of SrTiO$_{3}$

abstract:
  Using angle-resolved photoemission spectroscopy, we show that the
recently-discovered surface state on SrTiO$_{3}$ consists of non-degenerate
$t_{2g}$ states with different dimensional characters. While the $d_{xy}$ bands
have quasi-2D dispersions with weak $k_{z}$ dependence, the lifted
$d_{xz}$/$d_{yz}$ bands show 3D dispersions that differ significantly from bulk
expectations and signal that electrons associated with those orbitals permeate
the near-surface region. Like their more 2D counterparts, the size and
character of the $d_{xz}$/$d_{yz}$ Fermi surface components are essentially the
same for different sample preparations. Irradiating SrTiO$_{3}$ in ultrahigh
vacuum is one method observed so far to induce the "universal" surface metallic
state. We reveal that during this process, changes in the oxygen valence band
spectral weight that coincide with the emergence of surface conductivity are
disproportionate to any change in the total intensity of the O $1s$ core level
spectrum. This signifies that the formation of the metallic surface goes beyond
a straightforward chemical doping scenario and occurs in conjunction with
profound changes in the initial states and/or spatial distribution of
near-$E_{F}$ electrons in the surface region.


title: Area law for random graph states

abstract:
  Random pure states of multi-partite quantum systems, associated with
arbitrary graphs, are investigated. Each vertex of the graph represents a
generic interaction between subsystems, described by a random unitary matrix
distributed according to the Haar measure, while each edge of the graph
represents a bi-partite, maximally entangled state. For any splitting of the
graph into two parts we consider the corresponding partition of the quantum
system and compute the average entropy of entanglement. First, in the special
case where the partition does not "cross" any vertex of the graph, we show that
the area law is satisfied exactly. In the general case, we show that the
entropy of entanglement obeys an area law on average, this time with a
correction term that depends on the topologies of the graph and of the
partition. The results obtained are applied to the problem of distribution of
quantum entanglement in a quantum network with prescribed topology.


title:
ThermInfo: Collecting, Retrieving, and Estimating Reliable
  Thermochemical Data

abstract:
  Standard enthalpies of formation are used for assessing the efficiency and
safety of chemical processes in the chemical industry. However, the number of
compounds for which the enthalpies of formation are available is many orders of
magnitude smaller than the number of known compounds. Thermochemical data
prediction methods are therefore clearly needed. Several commercial and free
chemical databases are currently available, the NIST WebBook being the most
used free source. To overcome this problem a cheminformatics system was
designed and built with two main objectives in mind: collecting and retrieving
critically evaluated thermochemical values, and estimating new data. In its
present version, by using cheminformatics techniques, ThermInfo allows the
retrieval of the value of a thermochemical property, such as a gas-phase
standard enthalpy of formation, by inputting, for example, the molecular
structure or the name of a compound. The same inputs can also be used to
estimate data (presently restricted to non-polycyclic hydrocarbons) by using
the Extended Laidler Bond Additivity (ELBA) method. The information system is
publicly available at http://www.therminfo.com or
http://therminfo.lasige.di.fc.ul.pt. ThermInfo's strength lies in the data
quality, availability (free access), search capabilities, and, in particular,
prediction ability, based on a user-friendly interface that accepts inputs in
several formats.


title:
Symmetry-based estimation of lower bound on secure key rate of noisy
  private states

abstract:
  Quantum private states are the states that represent some amount of perfect
secure key. A simple symmetry of any generalised private quantum state (ie. the
states that represent perfect key but not fully random) is provided and
extended on Devetak-Winter so called ccq (classical-classical-quantum) and cqq
(classical-quantum-quantum) lower bound on secure key. This symmetry is used to
develop a practical method of estimating the Alice measurement that is optimal
form the perspective of single shot Devetak-Witner lower bound on secure key.
The method is particularly good when the noise does not break the symmetry of
the state with respect to the lower bound formula. It suggest a general
paradigm for quick estimation of quantum communication rates under the symmetry
of a given resource like state and/or channel.


title:
Explicit solutions in one-sided optimal stopping problems for
  one-dimensional diffusions

abstract:
  Consider the optimal stopping problem of a one-dimensional diffusion with
positive discount. Based on Dynkin's characterization of the value as the
minimal excessive majorant of the reward and considering its Riesz
representation, we give an explicit equation to find the optimal stopping
threshold for problems with one-sided stopping regions, and an explicit formula
for the value function of the problem. This representation also gives light on
the validity of the smooth fit principle. The results are illustrated by
solving some classical problems, and also through the solution of: optimal
stopping of the skew Brownian motion, and optimal stopping of the sticky
Brownian motion, including cases in which the smooth fit principle fails.


title: Disorder-induced cubic phase in Fe$_2$-based Heusler alloys

abstract:
  Based on first-principles electronic structure calculations, we analyze the
chemical and magnetic mechanisms stabilizing the cubic phase in Fe$_2$-based
Heusler materials, which were previously predicted to be tetragonal when being
chemically ordered. In agreement with recent experimental data, we found that
these compounds crystallize within the so-called "inverted" cubic Heusler
structure perturbed by a certain portion of the intrinsic chemical disorder.
Understanding these mechanisms is a necessary step to guide towards the
successful future synthesis of the stable Fe$_2$-based tetragonal phases, which
are very promising candidates for the fabrication of rare-earth-free permanent
magnets.