title: Image-based Face Detection and Recognition: "State of the Art"

abstract:
  Face recognition from image or video is a popular topic in biometrics
research. Many public places usually have surveillance cameras for video
capture and these cameras have their significant value for security purpose. It
is widely acknowledged that the face recognition have played an important role
in surveillance system as it doesn't need the object's cooperation. The actual
advantages of face based identification over other biometrics are uniqueness
and acceptance. As human face is a dynamic object having high degree of
variability in its appearance, that makes face detection a difficult problem in
computer vision. In this field, accuracy and speed of identification is a main
issue.
  The goal of this paper is to evaluate various face detection and recognition
methods, provide complete solution for image based face detection and
recognition with higher accuracy, better response rate as an initial step for
video surveillance. Solution is proposed based on performed tests on various
face rich databases in terms of subjects, pose, emotions, race and light.


title:
A Remark on the modified Zakharov-Kuznetsov equation in three space
  dimensions

abstract:
  The Cauchy Problem for the modified Zakharov-Kuznetsov equation in three
space dimensions is shown to be locally well-posed in $H^s(\R^3)$ for $s >
\frac12$. Combined with the conservation of mass and energy this result implies
global well-posedness for small data in $H^1(\R^3)$.


title: Hadronic effects on the X(3872) meson abundance in heavy ion collisions

abstract:
  We study the hadronic effects on the X(3872) meson abundance in heavy ion
collisions. We evaluate the absorption cross sections of the X(3872) meson by
pions and rho mesons in the hadronic stage of heavy ion collisions, and further
investigate the variation in the X(3872) meson abundance during the expansion
of the hadronic matter for its two possible quantum number states; $J^P=1^+$
and $2^-$. We show that the absorption cross sections and the time evolution of
the X(3872) meson abundance are strongly dependent on the structure and quantum
number of the X(3872) meson. We thus suggest that studying the abundance of the
X(3872) meson in relativistic heavy ion collisions provides a chance to infer
its quantum number as well as its structure.


title: The large D limit of General Relativity

abstract:
  General Relativity simplifies dramatically in the limit that the number of
spacetime dimensions D is infinite: it reduces to a theory of non-interacting
particles, of finite radius but vanishingly small cross sections, which do not
emit nor absorb radiation of any finite frequency. Non-trivial black hole
dynamics occurs at length scales that are 1/D times smaller than the horizon
radius, and at frequencies D times larger than the inverse of this radius. This
separation of scales at large D, which is due to the large gradient of the
gravitational potential near the horizon, allows an effective theory of black
hole dynamics. We develop to leading order in 1/D this effective description
for massless scalar fields and compute analytically the scalar absorption
probability. We solve to next-to-next-to-leading order the black brane
instability, with very accurate results that improve on previous approximations
with other methods. These examples demonstrate that problems that can be
formulated in an arbitrary number of dimensions may be tractable in analytic
form, and very efficiently so, in the large D expansion.


title: Module Border Bases

abstract:
  In this paper, we generalize the notion of border bases of zero-dimensional
polynomial ideals to the module setting. To this end, we introduce order
modules as a generalization of order ideals and module border bases of
submodules with finite codimension in a free module as a generalization of
border bases of zero-dimensional ideals in the first part of this paper. In
particular, we extend the division algorithm for border bases to the module
setting, show the existence and uniqueness of module border bases, and
characterize module border bases analogously like border bases via the special
generation property, border form modules, rewrite rules, commuting matrices,
and liftings of border syzygies. Furthermore, we deduce Buchberger's Criterion
for Module Border Bases and give an algorithm for the computation of module
border bases that uses linear algebra techniques. In the second part, we
further generalize the notion of module border bases to quotient modules. We
then show the connection between quotient module border bases and special
module border bases and deduce characterizations similar to the ones for module
border bases. Moreover, we give an algorithm for the computation of quotient
module border bases using linear algebra techniques, again. At last, we prove
that subideal border bases are isomorphic to special quotient module border
bases. This isomorphy immediately yields characterizations and an algorithm for
the computation of subideal border bases.


title: Shape recognition and classification in electro-sensing

abstract:
  This paper aims at advancing the field of electro-sensing. It exhibits the
physical mechanism underlying shape perception for weakly electric fish. These
fish orient themselves at night in complete darkness by employing their active
electrolocation system. They generate a stable, high-frequency, weak electric
field and perceive the transdermal potential modulations caused by a nearby
target with different admittivity than the surrounding water. In this paper, we
explain how weakly electric fish might identify and classify a target, knowing
by advance that the latter belongs to a certain collection of shapes. Our model
of the weakly electric fish relies on differential imaging, i.e., by forming an
image from the perturbations of the field due to targets, and physics-based
classification. The electric fish would first locate the target using a
specific location search algorithm. Then it could extract, from the
perturbations of the electric field, generalized (or high-order) polarization
tensors of the target. Computing, from the extracted features, invariants under
rigid motions and scaling yields shape descriptors. The weakly electric fish
might classify a target by comparing its invariants with those of a set of
learned shapes. On the other hand, when measurements are taken at multiple
frequencies, the fish might exploit the shifts and use the spectral content of
the generalized polarization tensors to dramatically improve the stability with
respect to measurement noise of the classification procedure in
electro-sensing. Surprisingly, it turns out that the first-order polarization
tensor at multiple frequencies could be enough for the purpose of
classification. A procedure to eliminate the background field in the case where
the permittivity of the surrounding medium can be neglected, and hence improve
further the stability of the classification process, is also discussed.


title: Relaxation and Rheology in Dense Athermal Suspensions

abstract:
  We study relaxation and rheology of dense athermal suspensions of
frictionless particles close below the jamming density. Our key quantity, the
relaxation time---determined from the exponential decay of the energy after the
shearing has suddenly been switched off---is argued to be a determining factor
behind the algebraic divergence of various quantities as the jamming density is
approached from below. We also define and measure the ``dissipation time'',
which is obtained directly in shearing simulations and find that it behaves
similarly to the relaxation time. Comparing shear viscosity with the expression
for the dissipation time we identify a non-divergent factor that explains the
need for correction terms in the scaling analyses of the shear viscosity.


title:
Nonequilibrium shot noise spectrum through a quantum dot in the Kondo
  regime: A master equation approach under self-consistent Born approximation

abstract:
  We construct a number($n$)-resolved master equation (ME) approach under
self-consistent Born approximation (SCBA) for noise spectrum calculation. The
formulation is essentially non-Markovian and incorporates properly the interlay
of the multi-tunneling processes and many-body correlations. We apply this
approach to the challenging nonequilibrium Kondo system and predict a profound
nonequilibrium Kondo signature in the shot noise spectrum. The proposed
$n$-SCBA-ME scheme goes completely beyond the scope of the Born-Markovian
master equation approach, in the sense of being applicable to the shot noise of
transport under small bias voltage, in non-Markovian regime, and with strong
Coulomb correlations as favorably demonstrated in the nonequilibrium Kondo
system.


title:
Influence of the Geomagnetic Field on the IACT detection technique for
  possible sites of CTA observatories

abstract:
  We investigate the influence of the geomagnetic field (GF) on the Imaging Air
Cherenkov Telescope technique for two northern (Tenerife and San Pedro Martir)
and three southern (Salta, Leoncito and Namibia (the H.E.S.S.-site)) site
candidates for Cherenkov Telescope Array (CTA) observatories. We use the
CORSIKA and sim_telarray programs for Monte Carlo simulations of gamma ray
showers, hadronic background and the telescope response. We focus here on gamma
ray measurements in the low energy, sub-100 GeV, range. Therefore, we only
consider the performance of arrays of several large telescopes. Neglecting the
GF effect, we find (in agreement with previous studies) that such arrays have
lower energy thresholds, and larger collection areas below 30 GeV, when located
at higher altitudes. We point out, however, that in the considered ranges of
altitudes and magnetic field intensities, 1800-3600 m a.s.l. and 0-40 uT,
respectively, the GF effect has a similar magnitude to this altitude effect. We
provide the trigger-level performance parameters of the observatory affected by
the GF effect, in particular the collection areas, detection rates and the
energy thresholds for all five locations, which information may be useful in
the selection of sites for CTA. We also find simple scaling of these parameters
with the magnetic field strength, which can be used to assess the magnitude of
the GF effect for other sites; in this work we use them to estimate the
performance parameters for five sites: South Africa-Beaufort West, USA-Yavapai
Ranch, Namibia-Lalapanzi, Chile-La Silla and India-Hanle. We roughly
investigate the impact of the geophysical conditions on gamma/hadron separation
procedures involving image shape and direction cuts.


title: Long-range attractive tail of colloid interaction

abstract:
  To describe rich phenomena of dilute dispersions of highly-charged colloid
particles, it is necessary to modify the long-range electric part of the DLVO
potential. The screened Coulomb potential of pure repulsion obtained from the
Helmholtz free energy in the DLVO theory is replaced by a new screened electric
potential with long-range attractive tail derived from the generalized Gibbs
free energy which is identified with a total sum of chemical potentials.


title: Symmetric quantum dots as efficient sources of highly entangled photons

abstract:
  An ideal source of entangled photon pairs combines the perfect symmetry of an
atom with the convenient electrical trigger of light sources based on
semiconductor quantum dots. We create a naturally symmetric quantum dot cascade
that emits highly entangled photon pairs on demand. Our source consists of
strain-free GaAs dots self-assembled on a triangular symmetric (111)A surface.
The emitted photons strongly violate Bell's inequality and reveal a fidelity to
the Bell state as high as 86 (+-2) % without postselection. This result is an
important step towards scalable quantum-communication applications with
efficient sources.


title: The adaptive Gril estimator with a diverging number of parameters

abstract:
  We consider the problem of variables selection and estimation in linear
regression model in situations where the number of parameters diverges with the
sample size. We propose the adaptive Generalized Ridge-Lasso (\mbox{AdaGril})
which is an extension of the the adaptive Elastic Net. AdaGril incorporates
information redundancy among correlated variables for model selection and
estimation. It combines the strengths of the quadratic regularization and the
adaptively weighted Lasso shrinkage. In this paper, we highlight the grouped
selection property for AdaCnet method (one type of AdaGril) in the equal
correlation case. Under weak conditions, we establish the oracle property of
AdaGril which ensures the optimal large performance when the dimension is high.
Consequently, it achieves both goals of handling the problem of collinearity in
high dimension and enjoys the oracle property. Moreover, we show that AdaGril
estimator achieves a Sparsity Inequality, i. e., a bound in terms of the number
of non-zero components of the 'true' regression coefficient. This bound is
obtained under a similar weak Restricted Eigenvalue (RE) condition used for
Lasso. Simulations studies show that some particular cases of AdaGril
outperform its competitors.


title: Inconsistencies of the Highly-Cited-Publications Indicator

abstract:
  One way of evaluating individual scientists is the determination of the
number of highly cited publications, where the threshold is given by a large
reference set. It is shown that this indicator behaves in a counterintuitive
way, leading to inconsistencies in the ranking of different scientists.


title:
How much do different ways of calculating percentiles influence the
  derived performance indicators? - A case study

abstract:
  Bibliometric indicators can be determined by comparing specific citation
records with the percentiles of a reference set. However, there exists an
ambiguity in the computation of percentiles because usually a significant
number of papers with the same citation count are found at the border between
percentile rank classes. The present case study of the citations to the journal
Europhysics Letters (EPL) in comparison with all physics papers from the Web of
Science shows the deviations which occur due to the different ways of treating
the tied papers in the evaluation of the percentage of highly cited
publications. A strong bias can occur, if the papers tied at the threshold
number of citations are all considered as highly cited or all considered as not
highly cited.


title:
Statistical Characterisation and Classification of Edge Localised Plasma
  Instabilities

abstract:
  The statistics of edge-localised plasma instabilities (ELMs) in toroidal
magnetically confined fusion plasmas are considered. From first principles,
standard experimentally motivated assumptions are shown to determine a specific
probability distribution for the waiting times between ELMs: the Weibull
distribution. This is confirmed empirically by a statistically rigorous
comparison with a large data set from the Joint European Torus (JET). The
successful characterisation of ELM waiting times enables future work to
progress in various ways. Here we present a quantitative classification of ELM
types, complementary to phenomenological approaches. It also informs us about
the nature of ELMing processes, such as whether they are random or
deterministic.


title:
Infinite randomness critical behavior of the contact process on networks
  with long-range connections

abstract:
  The contact process and the slightly different
susceptible-infected-susceptible model are studied on long-range connected
networks in the presence of random transition rates by means of a strong
disorder renormalization group method and Monte Carlo simulations. We focus on
the case where the connection probability decays with the distance $l$ as
$p(l)\simeq\beta l^{-2}$ in one dimension. Here, the graph dimension of the
network can be continuously tuned with $\beta$. The critical behavior of the
models is found to be described by an infinite randomness fixed point which
manifests itself in logarithmic dynamical scaling. Estimates of the complete
set of the critical exponents, which are found to vary with the graph
dimension, are provided by different methods. According to the results, the
additional disorder of transition rates does not alter the infinite randomness
critical behavior induced by the disordered topology of the underlying random
network. This finding opens up the possibility of the application of an
alternative tool, the strong disorder renormalization group method to dynamical
processes on topologically disordered structures. As the random
transverse-field Ising model falls into the same universality class as the
random contact process, the results can be directly transferred to that model
defined on the same networks.


title: On flat and Gorenstein flat dimensions of local cohomology modules

abstract:
  Let $\fa$ be an ideal of a Noetherian local ring $R$ and let $C$ be a
semidualizing $R$-module. For an $R$-module $X$, we denote any of the
quantities $\fd_R X$, $\Gfd_R X$ and $\GCfd_RX$ by $\T(X)$. Let $M$ be an
$R$-module such that $\H_{\fa}^i(M)=0$ for all $i\neq n$. It is proved that if
$\T(X)<\infty$, then $\T(\H_{\fa}^n(M))\leq\T(M)+n$ and the equality holds
whenever $M$ is finitely generated. With the aid of these results, among other
things, we characterize Cohen-Macaulay modules, dualizing modules and
Gorenstein rings.


title: How to derive an advantage from the arbitrariness of the g-index

abstract:
  The definition of the g-index is as arbitrary as that of the h-index, because
the threshold number g^2 of citations to the g most cited papers can be
modified by a prefactor at one's discretion, thus taking into account more or
less of the highly cited publications within a dataset. In a case study I
investigate the citation records of 26 physicists and show that the prefactor
influences the ranking in terms of the generalized g-index less than for the
generalized h-index. I propose specifically a prefactor of 2 for the g-index,
because then the resulting values are of the same order of magnitude as for the
common h-index. In this way one can avoid the disadvantage of the original
g-index, namely that the values are usually substantially larger than for the
h-index and thus the precision problem is substantially larger; while the
advantages of the g-index over the h-index are kept. Like for the generalized
h-index, also for the generalized g-index different prefactors might be more
useful for investigations which concentrate only on top scientists with high
citation frequencies or on junior researchers with small numbers of citations.


title: Quaternion geometries on the twistor space of the six-sphere

abstract:
  We explicitly describe all SO(7)-invariant almost quaternion-Hermitian
structures on the twistor space of the six sphere and determine the types of
their intrinsic torsion.


title: Muon capture rates from precision measurements of the muon disappearance

abstract:
  In a typical experiment the nuclear \mu-capture rate is determined from
measurements of the time constant of the muon decay exponential in a target. We
propose a new approach for the evaluation of the \mu-capture rate, which is
based on direct measurements of the \mu^- disappearance rate in the target.
Considering, as an example, the reaction of \mu-capture on proton, we
demonstrate that measurements of the \mu^- disappearance at different values of
the hydrogen gas pressure in the target could be used to avoid a
pressure-dependent correction and determine the "vacuum" \mu p -> \nu n
reaction rate with accuracy better than 10^{-2} after extrapolation to zero gas
density. The proposed method could be used to perform precision measurements of
the \mu^- capture rate on different types of nuclei in one experiment.


title:
Swing options in commodity markets: A multidimensional L\'evy diffusion
  model

abstract:
  We study valuation of swing options on commodity markets when the commodity
prices are driven by multiple factors. The factors are modeled as diffusion
processes driven by a multidimensional L\'evy process. We set up a valuation
model in terms of a dynamic programming problem where the option can be
exercised continuously in time. Here, the number of swing rights is given by a
total volume constraint. We analyze some general properties of the model and
study the solution by analyzing the associated HJB-equation. Furthermore, we
discuss the issues caused by the multi-dimensionality of the commodity price
model. The results are illustrated numerically with three explicit examples.


title: On the period function of Newtonian systems

abstract:
  We study the existence of centers of planar autonomous system of the form
  $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$
  We are interested in the period function $T$ around a center 0. A sufficient
condition for the isochronicity of (S) at 0 is given. Such a condition is also
necessary when $f,g,h$ are analytic functions. In that case a characterization
of isochronous centers of system (S) is given. Some applications will be
derived. In particular, new families of isochronous centers will be described


title: An implementation of CAD in Maple utilising McCallum projection

abstract:
  Cylindrical algebraic decomposition (CAD) is an important tool for the
investigation of semi-algebraic sets. Originally introduced by Collins in the
1970s for use in quantifier elimination it has since found numerous
applications within algebraic geometry and beyond. Following from his original
work in 1988, McCallum presented an improved algorithm, CADW, which offered a
huge increase in the practical utility of CAD. In 2009 a team based at the
University of Western Ontario presented a new and quite separate algorithm for
CAD, which was implemented and included in the computer algebra system Maple.
As part of a wider project at Bath investigating CAD and its applications,
Collins and McCallum's CAD algorithms have been implemented in Maple. This
report details these implementations and compares them to Qepcad and the
Ontario algorithm.
  The implementations were originally undertaken to facilitate research into
the connections between the algorithms. However, the ability of the code to
guarantee order-invariant output has led to its use in new research on CADs
which are minimal for certain problems. In addition, the implementation
described here is of interest as the only full implementation of CADW, (since
Qepcad does not currently make use of McCallum's delineating polynomials), and
hence can solve problems not admissible to other CAD implementations.


title: Evolution of progenitors for electron capture supernovae

abstract:
  We provide progenitor models for electron capture supernovae (ECSNe) with
detailed evolutionary calculation. We include minor electron capture nuclei
using a large nuclear reaction network with updated reaction rates. For
electron captures, the Coulomb correction on the rates is treated and
contribution of neutron-rich nuclei is taken into account in the nuclear
statistical equilibrium (NSE) composition. We calculate the evolution of the
most massive super asymptotic giant branch stars and show that these stars
undergo off-center carbon burnings and form ONe cores at the center. These
cores get heavier up to the critical mass of 1.367 Msun and keep contracting
even after the initiation of O+Ne deflagration. Though inclusion of minor
electron capture nuclei causes convective URCA process at the contraction
phase, such process will have minor effect on the evolution. On the other hand,
electron captures by neutron-rich nuclei in the NSE region have more
significant effect. Also, we discuss the uniqueness of the critical core mass
for ECSNe and the effect of mass loss on the plausibility of our models for
ECSN progenitors.


title:
On the connections of the generalized entropies and Kolmogorov-Sinai
  entropies

abstract:
  We consider the concept of generalized measure-theoretic entropy, where
instead of the Shannon entropy function we consider an arbitrary concave
function defined on the unit interval, vanishing in the origin. Under mild
assumptions on this function we show that this isomorphism invariant is
linearly dependent on the Kolmogorov-Sinai entropy.


title: Non-planar operator mixing by Brauer representations

abstract:
  We study the action of the dilatation operator on the basis of local
operators constructed from the elements of the walled Brauer algebra, with
non-planar corrections fully taken into account. We will see that the operator
mixing can be neatly expressed in terms of the irreducible representations of
the algebra. In particular we focus on a role of the integer that determines
the number of boxes in the representations.


title:
A hybrid helical structure of hard sphere packing from sequential
  deposition

abstract:
  A hybrid helical structure of equal-sized hard spheres in cylindrical
confinement was discovered as a 'by-product' of the recently developed
sequential deposition approach [Physical Review E 84, 050302(R) (2011)] for
constructing the densest possible packings of such systems. Unlike the
conventional triple-helix structure where its three strands of spheres are
packed densely to form triads of close-packed, mutually touching spheres, in
this novel helical phase only two of its three strands of spheres are packed in
this densest arrangement and the overall structure resembles a hybrid of the
single and the double helix. This article explains how this previously unknown
structure can be constructed via the abovementioned sequential deposition of
spheres, which involves manipulating the positions of a few spheres to create a
template for the deposition process. The findings show that it is possible to
discover new structures through varying only the configuration of few spheres
within the template, where this approach relies on a sensitive dependence of
the deposition-generated structures on the template.


title: Cyclotomic p-adic Multi-Zeta Values in Depth Two

abstract:
  In this paper we compute the values of the p-adic multiple polylogarithms of
depth two at roots of unity. Our method is to solve the fundamental
differential equation satisfied by the crystalline frobenius morphism using
rigid analytic methods. The main result could be thought of as a computation in
the p-adic theory of higher cyclotomy. We expect the result to be useful in
proving non-vanishing results since it gives quite explicit formulas.


title: Oscillating universe in massive gravity

abstract:
  Massive gravity is a modified theory of general relativity. In this paper, we
study, using a method in which the scale factor changes as a particle in a
"potential", all possible cosmic evolutions in a ghost-free massive gravity. We
find that there exists, in certain circumstances, an oscillating universe or a
bouncing one. If the universe starts at the oscillating region, it may undergo
a number of oscillations before it quantum mechanically tunnels to the bounce
point and then expand forever. But going back to the singularity from the
oscillating region is physically not allowed. So, the big bang singularity can
be successfully resolved. At the same time, we also find that there exists a
stable Einstein static state in some cases. However, the universe can not stay
at this stable state past-eternally since it is allowed to quantum mechanically
tunnel to a big-bang-to-big-crunch region and end with a big crunch. Thus, a
stable Einstein static state universe can not be used to avoid the big bang
singularity in massive gravity.


title:
High-voltage nanosecond pulses in a low-pressure radiofrequency
  discharge

abstract:
  An influence of a high-voltage (3-17 kV) 20 ns pulse on a weakly-ionized
low-pressure (0.1-10 Pa) capacitively-coupled radiofrequency (RF) argon plasma
is studied experimentally. The plasma evolution after pulse exhibits two
characteristic regimes: a bright flash, occurring within 100 ns after the pulse
(when the discharge emission increases by 2-3 orders of magnitude over the
steady-state level), and a dark phase, lasting a few hundreds \mu s (when the
intensity of the discharge emission drops significantly below the steady-state
level). The electron density increases during the flash and remains very large
at the dark phase. 1D3V particle-in-cell simulations qualitatively reproduce
both regimes and allow for detailed analysis of the underlying mechanisms. It
is found that the high-voltage nanosecond pulse is capable of removing a
significant fraction of plasma electrons out of the discharge gap, and that the
flash is the result of the excitation of gas atoms, triggered by residual
electrons accelerated in the electric field of immobile bulk ions. The
secondary emission from the electrodes due to vacuum UV radiation plays an
important role at this stage. High-density plasma generated during the flash
provides efficient screening of the RF field (which sustains the steady-state
plasma). This leads to the electron cooling and, hence, onset of the dark
phase.


title:
Inclusion of W^+- single-spin asymmetry data in a polarised PDF
  determination via Bayesian reweighting

abstract:
  We discuss how the experimental information from longitudinal single-spin
asymmetries for $W^{\pm}$ boson production in polarised proton-proton
collisions can be included in a polarised parton determination by Bayesian
reweighting of a Monte Carlo set of polarised PDF replicas. We explicitly
construct a prior ensemble of polarised parton distributions using available
fits to inclusive and semi-inclusive DIS data and we discuss the potential
impact of existing and future RHIC measurements on it.


title:
$M$Si$_{20}$H$_{20}$ Aggregates: From Simple Building Blocks to Highly
  Magnetic Functionalized Materials

abstract:
  Density-functional theory based global geometry optimization is used to
scrutinize the possibility of using endohedrally-doped hydrogenated Si clusters
as building blocks for constructing highly magnetic materials. In contrast to
the known clathrate-type facet-sharing, the clusters exhibit a predisposition
to aggregation through double Si-Si bridge bonds. For the prototypical
CrSi$_{20}$H$_{20}$ cluster we show that reducing the degree of hydrogenation
may be used to control the number of reactive sites to which other cages can be
attached, while still preserving the structural integrity of the building block
itself. This leads to a toolbox of CrSi$_{20}$H$_{20-2n}$ monomers with
different number of double "docking sites", that allows building network
architectures of any morphology. For (CrSi$_{20}$H$_{18}$)$_{2}$ dimer and
[CrSi$_{20}$H$_{16}$](CrSi$_{20}$H$_{18}$)$_{2}$ trimer structures we
illustrate that such aggregates conserve the high spin moments of the dopant
atoms and are therefore most attractive candidates for cluster-assembled
materials with unique magnetic properties. The study suggests that the
structural completion of the individual endohedral cages within the
doubly-bridge bonded structures and the high thermodynamic stability of the
obtained aggregates are crucial for potential synthetic polymerization routes
$via$ controlled dehydrogenation.


title: Stochastic Context-Free Grammars, Regular Languages, and Newton's Method

abstract:
  We study the problem of computing the probability that a given stochastic
context-free grammar (SCFG), G, generates a string in a given regular language
L(D) (given by a DFA, D). This basic problem has a number of applications in
statistical natural language processing, and it is also a key necessary step
towards quantitative \omega-regular model checking of stochastic context-free
processes (equivalently, 1-exit recursive Markov chains, or stateless
probabilistic pushdown processes).
  We show that the probability that G generates a string in L(D) can be
computed to within arbitrary desired precision in polynomial time (in the
standard Turing model of computation), under a rather mild assumption about the
SCFG, G, and with no extra assumption about D. We show that this assumption is
satisfied for SCFG's whose rule probabilities are learned via the well-known
inside-outside (EM) algorithm for maximum-likelihood estimation (a standard
method for constructing SCFGs in statistical NLP and biological sequence
analysis). Thus, for these SCFGs the algorithm always runs in P-time.


title:
Simple feed-through for coupling optical fibres into high pressure and
  temperature systems

abstract:
  A best practice guide for assembling and testing a simple and inexpensive
system feeding an optical fibre into a high pressure and temperature
environment is presented. A standard Swagelok type connector is tested together
with different ferrule materials and a PEEK capillary tube as feed-through. The
system proofed to seal an optical fibre during several pressure and temperature
cycling experiments up to 500 bar and 180{\deg}C.


title: The Ext algebra of a Brauer graph algebra

abstract:
  In this paper we study finite generation of the Ext algebra of a Brauer graph
algebra by determining the degrees of the generators. As a consequence we
characterize the Brauer graph algebras that are Koszul and those that are K_2.


title:
Photoionization loss in simultaneous magneto-optical trapping of Rb and
  Sr

abstract:
  We demonstrate the simultaneous magneto-optical trapping (MOT) of Rb and Sr
and examine the characteristic loss of Rb in the MOT due to photoionization by
the cooling laser for Sr. The photoionization cross section of Rb in the
$5P_{3/2}$ state at 461 nm is determined to be $1.4(1)\times10^{-17}$ cm$^2$.
It is important to consider this loss rate to realize a sufficiently large
number of trapped Rb atoms to achieve a quantum degenerate mixture of Rb and
Sr.


title: Phase transitions during Cyclic-Inflation and Non-gaussianity

abstract:
  Typically cold inflation with positive vacuum energy density dilutes all
matter except the quan- tum fluctuations which are stretched outside the Hubble
patch during inflation. However the cyclic- inflation scenario, where the
universe undergoes many many asymmetric cycles leading to an overall
exponential growth, operates in the presence of thermal matter. Thus, while
some of the nice prop- erties of cold inflation is preserved, in cyclic
inflationary models thermal excitations are continually produced and there
exists a unique opportunity of imprinting interesting thermal history in CMBR.
In particular, we will see that a phase transition can lead to observably large
higher order nongaus- sianities as the critical temperature is approached, and
that these are increasingly divergent with the order of the correlations.


title:
Discrete Time Mean-Field Stochastic Linear-Quadratic Optimal Control
  Problems

abstract:
  This paper first presents necessary and sufficient conditions for the
solvability of discrete time, mean-field, stochastic linear-quadratic optimal
control problems. Then, by introducing several sequences of bounded linear
operators, the problem becomes an operator stochastic LQ problem, in which the
optimal control is a linear state feedback. Furthermore, from the form of the
optimal control, the problem changes to a matrix dynamic optimization problem.
Solving this optimization problem, we obtain the optimal feedback gain and thus
the optimal control. Finally, by completing the square, the optimality of the
above control is validated.


title:
Structures, stability, mechanical and electronic properties of a-boron
  and its twined brother a*-boron

abstract:
  The structures, stability, mechanical and electronic properties of a-boron
and its twined brother a*-boron have been studied by first-principles
calculations. Both a-boron and a*-boron consist of equivalent icosahedra B12
clusters in different connecting configurations of "3S-6D-3S" and "2S-6D-4S",
respectively. The total energy calculations show that a*-boron is less stable
than a-boron but more favorable than beta-boron and Gamma-boron at zero
pressure. Both a-boron and a*-boron are confirmed dynamically and mechanically
stable. The mechanical and electronic properties of a-boron and a*-boron
indicate that they are potential superhard semiconducting phases of element
boron.


title: Magnetisation process in Er2Ti2O7 and Tb2Ti2O7 at very low temperature

abstract:
  We present a model which accounts for the high field magnetisation at very
low temperature in two pyrochlore frustrated systems, Er2Ti2O7 and Tb2Ti2O7.
The two compounds present very different ground states: Er2Ti2O7, which has a
planar crystal field anisotropy, is an antiferromagnet with T_N=1.2K, whereas
Tb2Ti2O7 is expected to have Ising character and shows no magnetic ordering
down to 0.05K, being thus labelled a ``spin liquid''. Our model is a mean field
self-consistent calculation involving the 4 rare earth sites of a tetrahedron,
the building unit of the pyrochlore lattice. It includes the full crystal field
hamiltonian, the infinite range dipolar interaction and anisotropic nearest
neighbour exchange described by a 3-component tensor. For Er2Ti2O7, we discuss
the equivalence of our treatment of the exchange tensor, taken to be diagonal
in a frame linked to a rare earth - rare earth bond, with the pseudo-spin
hamiltonian recently developped for Kramers doublets in a pyrochlore lattice.
In Tb2Ti2O7, an essential ingredient of our model is a symmetry breaking
developping at very low temperature. We compare its prediction for the
isothermal magnetisation with that of ``the quantum spin ice'' model.


title: Quasi-Monte Carlo methods for lattice systems: a first look

abstract:
  We investigate the applicability of Quasi-Monte Carlo methods to Euclidean
lattice systems for quantum mechanics in order to improve the asymptotic error
behavior of observables for such theories. In most cases the error of an
observable calculated by averaging over random observations generated from an
ordinary Markov chain Monte Carlo simulation behaves like N^{-1/2}, where N is
the number of observations. By means of Quasi-Monte Carlo methods it is
possible to improve this behavior for certain problems to N^{-1}, or even
further if the problems are regular enough. We adapted and applied this
approach to simple systems like the quantum harmonic and anharmonic oscillator
and verified an improved error scaling.


title:
Towards an understanding of Type Ia supernovae from a synthesis of
  theory and observations

abstract:
  Motivated by the fact that calibrated light curves of Type Ia supernovae (SNe
Ia) have become a major tool to determine the expansion history of the
Universe, considerable attention has been given to, both, observations and
models of these events over the past 15 years. Here, we summarize new
observational constraints, address recent progress in modeling Type Ia
supernovae by means of three-dimensional hydrodynamic simulations, and discuss
several of the still open questions. It will be be shown that the new models
have considerable predictive power which allows us to study observable
properties such as light curves and spectra without adjustable non-physical
parameters. This is a necessary requisite to improve our understanding of the
explosion mechanism and to settle the question of the applicability of SNe Ia
as distance indicators for cosmology. We explore the capabilities of the models
by comparing them with observations and we show how such models can be applied
to study the origin of the diversity of SNe Ia.


title: ML4PG in Computer Algebra verification

abstract:
  ML4PG is a machine-learning extension that provides statistical proof hints
during the process of Coq/SSReflect proof development. In this paper, we use
ML4PG to find proof patterns in the CoqEAL library -- a library that was
devised to verify the correctness of Computer Algebra algorithms. In
particular, we use ML4PG to help us in the formalisation of an efficient
algorithm to compute the inverse of triangular matrices.


title: kdetrees: Nonparametric Estimation of Phylogenetic Tree Distributions

abstract:
  Motivation: While the majority of gene histories found in a clade of
organisms are expected to be generated by a common process (e.g. the coalescent
process), it is well-known that numerous other coexisting processes (e.g.
horizontal gene transfers, gene duplication and subsequent
neofunctionalization) will cause some genes to exhibit a history quite distinct
from those of the majority of genes. Such "outlying" gene trees are considered
to be biologically interesting and identifying these genes has become an
important problem in phylogenetics.
  Results: We propose and implement KDETREES, a nonparametric method of
estimating distributions of phylogenetic trees, with the goal of identifying
trees which are significantly different from the rest of the trees in the
sample. Our method compares favorably with a similar recently-published method,
featuring an improvement of one polynomial order of computational complexity
(to quadratic in the number of trees analyzed), with simulation studies
suggesting only a small penalty to classification accuracy. Application of
KDETREES to a set of Apicomplexa genes identified several unreliable sequence
alignments which had escaped previous detection, as well as a gene
independently reported as a possible case of horizontal gene transfer. We also
analyze a set of Epichloe genes, fungi symbiotic with grasses, successfully
identifying a contrived instance of paralogy.
  Availability: Our method for estimating tree distributions and identifying
outlying trees is implemented as the R package KDETREES, and is available for
download from CRAN.


title: The protein-protein interaction network of human Sirtuin family

abstract:
  Protein-protein interaction networks are useful for studying human diseases
and to look for possible health care through a holistic approach. Networks are
playing an increasing and important role in the understanding of physiological
processes such as homeostasis, signaling, spatial and temporal organizations,
and pathological conditions. In this article we show the complex system of
interactions determined by human Sirtuins (Sirt) largely involved in many
metabolic processes as well as in different diseases. The Sirtuin family
consists of seven homologous Sirt-s having structurally similar cores but
different terminal segments, being rather variable in length and/or
intrinsically disordered. Many studies have determined their cellular location
as well as biological functions although molecular mechanisms through which
they act are actually little known. Therefore, the aim of this work was to
define, explore and understand the Sirtuin-related human interactome. As a
first step, we have integrated the experimentally determined protein-protein
interactions of the Sirtuin-family as well as their first and second neighbors
to a Sirtuin-related sub-interactome. Our data showed that the second-neighbor
network of Sirtuins encompasses 25% of the entire human interactome, exhibits a
scale-free degree distribution and interconnectedness among top degree nodes.
Moreover, the Sirtuin sub interactome showed a modular structure around the
core comprising mixed functions. Finally, we extracted from the Sirtuin
sub-interactome subnets related to cancer, aging and post-translational
modifications for information on key nodes and topological space of the subnets
in Sirt family network.


title: Generation of Biometric key for use in DES

abstract:
  Cryptography is an important field in the area of data encryption. There are
different cryptographic techniques available varying from the simplest to
complex. One of the complex symmetric key cryptography techniques is using Data
Encryption Standard Algorithm. This paper explores a unique approach to
generation of key using fingerprint. The generated key is used as an input key
to the DES Algorithm


title:
Photometric stability analysis of the Exoplanet Characterisation
  Observatory

abstract:
  Photometric stability is a key requirement for time-resolved spectroscopic
observations of transiting extrasolar planets. In the context of the Exoplanet
Characterisation Observatory (EChO) mission design, we here present and
investigate means of translating spacecraft pointing instabilities as well as
temperature fluctuation of its optical chain into an overall error budget of
the exoplanetary spectrum to be retrieved. Given the instrument specifications
as of date, we investigate the magnitudes of these photometric instabilities in
the context of simulated observations of the exoplanet HD189733b secondary
eclipse.


title: Segmentation of Alzheimers Disease in PET scan datasets using MATLAB

abstract:
  Positron Emission Tomography (PET) scan images are one of the bio medical
imaging techniques similar to that of MRI scan images but PET scan images are
helpful in finding the development of tumors.The PET scan images requires
expertise in the segmentation where clustering plays an important role in the
automation process.The segmentation of such images is manual to automate the
process clustering is used.Clustering is commonly known as unsupervised
learning process of n dimensional data sets are clustered into k groups so as
to maximize the inter cluster similarity and to minimize the intra cluster
similarity.This paper is proposed to implement the commonly used K Means and
Fuzzy CMeans (FCM) clustering algorithm.This work is implemented using MATrix
LABoratory (MATLAB) and tested with sample PET scan image. The sample data is
collected from Alzheimers Disease Neuro imaging Initiative ADNI. Medical Image
Processing and Visualization Tool (MIPAV) are used to compare the resultant
images.


title: Hypothesis Testing for Validation and Certification

abstract:
  We develop a hypothesis testing framework for the formulation of the problems
of 1) the validation of a simulation model and 2) using modeling to certify the
performance of a physical system. These results are used to solve the
extrapolative validation and certification problems, namely problems where the
regime of interest is different than the regime for which we have experimental
data. We use concentration of measure theory to develop the tests and analyze
their errors. This work was stimulated by the work of Lucas, Owhadi, and Ortiz
where a rigorous method of validation and certification is described and
tested. In a remark we describe the connection between the two approaches.
Moreover, as mentioned in that work these results have important implications
in the Quantification of Margins and Uncertainties (QMU) framework. In
particular, in a remark we describe how it provides a rigorous interpretation
of the notion of confidence and new notions of margins and uncertainties which
allow this interpretation. Since certain concentration parameters used in the
above tests may be unkown, we furthermore show, in the last half of the paper,
how to derive equally powerful tests which estimate them from sample data, thus
replacing the assumption of the values of the concentration parameters with
weaker assumptions. This paper is an essentially exact copy of one dated April
10, 2010.


title:
Matrix Access structure Policy used in Attribute-Based Proxy
  Re-encryption

abstract:
  Proxy re-encryption (PRE) allows a semi-trusted proxy to convert a ciphertext
originally intended for Alice into an encryption of the same message intended
for Bob. Song Luo, Jianbin Hu, and Zhong Chen presented a novel ciphertext
policy attribute-based proxy re-encryption (CP-AB-PRE) scheme. The ciphertext
policy realized in their scheme is AND-gates policy supporting multi-value
attributes, negative attributes and wildcards. We propose a new access policies
based on LSSS matrix access structures. Our scheme still have the properties of
both PRE and CP-AB-PRE, such as unidirectionality, non-interactivity,
multi-use, allows the encryptor to decide whether the ciphertext can be
re-encrypted and allows the proxy to add access policy. Furthermore, our scheme
can be modified to outsource the policy of W2.


title: Dynamical Evolution of Photons in Plasma Waves

abstract:
  On the viewpoint of corpuscular model an electromagnetic radiation can be
regarded as a system composed of photons with different energies and momenta,
which provides us a method being different from the Maxwell wave theory to
describe the interaction of electromagnetic waves with plasmas. In this paper
the evolution behavior of a single photon and the collective effect of a photon
system in plasma waves are uniformly described in the frame of photon dynamics.
In a small-amplitude plasma wave the modulation of photon dynamical behavior by
the plasma wave can be treated as perturbation, and the photon acceleration
effect and photon Landau damping are investigated in the linear theory. In a
plasma wave with arbitrary amplitude the photon evolution trajectories in phase
space and coordinate space are obtained by solving the dynamical equations, and
the trapping condition and possibility of photons in the given plasma wave are
also discussed.


title:
Systematic enumeration of crystalline networks with only sp2
  configuration in cubic lattices

abstract:
  Systematic enumeration of crystalline networks with some special topological
characters is of considerable interest in both mathematics and crystallography.
Based on the restriction of lattice in cubic and inequivalent nodes not
exceeding three, a simple method is proposed for systematic searching for
three-dimensional crystalline networks with only sp2-configuration nodes
(C-sp2-TDTCNs). We systematically scan the cubic space groups from No.195 to
No.230 and find many C-sp2-TDTCNs including all the previously proposed cubic
ones. These C-sp2-TDTCNs are topologically intriguing and can be considered as
good templates for searching carbon crystals with novel properties, predicting
high pressure phases of element nitrogen and designing three-dimensional
hydrocarbon crystals. Structure optimizations are considered by regrading these
C-sp2-TDTCNs as carbon crystals and the corresponding energetic stability of
these carbon crystals are evaluated, using the the density functional theory
(DFT) based first-principle calculations. Our results are of wide interests in
mathematics, condensed physics, crystallography and material science.


title: A decomposition technique for pursuit evasion games with many pursuers

abstract:
  Here we present a decomposition technique for a class of differential games.
The technique consists in a decomposition of the target set which produces, for
geometrical reasons, a decomposition in the dimensionality of the problem.
Using some elements of Hamilton-Jacobi equations theory, we find a relation
between the regularity of the solution and the possibility to decompose the
problem. We use this technique to solve a pursuit evasion game with multiple
agents.


title:
Atomistic modelling of friction of Cu and Au nanoparticles adsorbed on
  graphene

abstract:
  We present classical molecular dynamics calculations of the behavior of
copper and gold nanoparticles on a graphene sheet, sheared with a constant
applied force $F_{\rm a}$. The force $F_{\rm s}$ acting on the particle from
the substrate depends on the material of the nanoparticles (Au or Cu), and
exhibits a sawtooth dependency on time, which we attribute to local
commensurability between the metal nanoparticle surface atomic positions with
the graphene lattice. The time-averaged value of $F_{\rm s}$ (the friction
force) acting on Au nanoparticles increases linearly with the contact area,
having slopes close to the experimentally observable ones. A qualitative model
is proposed to explain the observed results.


title: The initial state of heavy-ion collisions

abstract:
  We present a brief review of recent theoretical developments and related
phenomenological approaches for understanding the initial state of heavy-ion
collisions, with emphasis on the Color Glass Condensate formalism.


title:
Convex vs nonconvex approaches for sparse estimation: GLasso, Multiple
  Kernel Learning and Hyperparameter GLasso

abstract:
  The popular Lasso approach for sparse estimation can be derived via
marginalization of a joint density associated with a particular stochastic
model. A different marginalization of the same probabilistic model leads to a
different non-convex estimator where hyperparameters are optimized. Extending
these arguments to problems where groups of variables have to be estimated, we
study a computational scheme for sparse estimation that differs from the Group
Lasso. Although the underlying optimization problem defining this estimator is
non-convex, an initialization strategy based on a univariate Bayesian forward
selection scheme is presented. This also allows us to define an effective
non-convex estimator where only one scalar variable is involved in the
optimization process. Theoretical arguments, independent of the correctness of
the priors entering the sparse model, are included to clarify the advantages of
this non-convex technique in comparison with other convex estimators. Numerical
experiments are also used to compare the performance of these approaches.


title: On the extended W-algebra of type sl_2 at positive rational level

abstract:
  The extended W-algebra of type sl_2 at positive rational level, denoted by
M_{p_+,p_-}, is a vertex operator algebra that was originally proposed in [1].
This vertex operator algebra is an extension of the minimal model vertex
operator algebra and plays the role of symmetry algebra for certain logarithmic
conformal field theories. We give a construction of M_{p_+,p_-} in terms of
screening operators and use this construction to prove that M_{p_+,p_-}
satisfies Zhu's c_2-cofiniteness condition, calculate the structure of the zero
mode algebra (also known as Zhu's algebra) and classify all simple
M_{p_+,p_-}-modules.


title: A Domain-Specific Language for Rich Motor Skill Architectures

abstract:
  Model-driven software development is a promising way to cope with the
complexity of system integration in advanced robotics, as it already
demonstrated its benefits in domains with comparably challenging system
integration requirements. This paper reports on work in progress in this area
which aims to improve the research and experimentation process in a
collaborative research project developing motor skill architectures for
compliant robots. Our goal is to establish a model-driven development process
throughout the project around a domain-specific language (DSL) facilitating the
compact description of adaptive modular architectures for rich motor skills.
Incorporating further languages for other aspects (e.g. mapping to a technical
component architecture) the approach allows not only the formal description of
motor skill architectures but also automated code-generation for
experimentation on technical robot platforms. This paper reports on a first
case study exemplifying how the developed AMARSi DSL helps to conceptualize
different architectural approaches and to identify their similarities and
differences.


title: A Molecular Platinum Cluster Junction: A Single-Molecule Switch

abstract:
  We present a theoretical study of the electronic transport through
single-molecule junctions incorporating a Pt6 metal cluster bound within an
organic framework. We show that the insertion of this molecule between a pair
of electrodes leads to a fully atomically engineered nano-metallic device with
high conductance at the Fermi level and two sequential high on/off switching
states. The origin of this property can be traced back to the existence of a
HOMO which consists of two degenerate and asymmetric orbitals, lying close in
energy to the Fermi level of the metallic leads. Their degeneracy is broken
when the molecule is contacted to the leads, giving rise to two resonances
which become pinned close to the Fermi level and display destructive
interference.


title: Testing Bell's Inequality using Charmonium Decays

abstract:
  This paper discusses the feasibility of testing Bell's inequality with the
charmonium decays \eta_c -> \Lambda \Lambda, \chi_{c0} -> \Lambda\Lambda and
J/\Psi -> \Lambda\Lambda. We develop a new formulation of the Bell's inequality
represented with particles' momenta which can be measured definitely in
experiment and seek if it violates in these decays. It is illustrated that the
\eta_c channel and the \chi_{c0} channel maximally violate Bell's inequality,
while the J/\Psi channel gives no inconsistency with it. Simulations dealing
with experimental aspects are also implemented. The expected statistical
fluctuations and achievable significance are estimated as a function of sample
size.


title: Spin noise of exciton-polaritons in microcavities

abstract:
  We develop a theory of spin fluctuations of exciton-polaritons in a
semiconductor microcavity under the non-resonant unpolarized pumping. It is
shown that the corresponding spin noise is sensitive to the scattering rates in
the system, occupation of the ground state, statistics of polaritons, and
interactions. The spin noise spectrum drastically narrows in the polariton
lasing regime due to formation of a polariton condensate, while its shape can
become non-Lorentzian owing to interaction-induced spin decoherence.


title: Inter-plane resistivity of isovalent doped BaFe$_2$(As$_{1-x}$P$_x$)$_2$

abstract:
  Temperature-dependent inter-plane resistivity, $\rho_c(T)$, was measured for
the iron-based superconductor BaFe$_2$(As$_{1-x}$P$_x$)$_2$ over a broad
isoelectron phosphorus substitution range from $x$=0 to $x$=0.60, from
non-superconducting parent compound to heavily overdoped superconducting
composition with $T_c\approx 10 K$. The features due to structural and magnetic
transitions are clearly resolved in $\rho_c(T)$ of the underdoped crystals. A
characteristic maximum in $\rho_c(T)$, found in the parent BaFe$_2$As$_2$ at
around 200 K, moves rapidly with phosphorus substitution to high temperatures.
At the optimal doping, the inter-plane resistivity shows $T$-linear temperature
dependence without any cross-over anomalies, similar to the previously reported
in-plane resistivity. This observation is in stark contrast with dissimilar
temperature dependences found at optimal doping in electron-doped
Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$. Our finding suggests that despite similar
values of the resistivity and its anisotropy, the temperature dependent
transport in the normal state is very different in electron and isoelectron
doped compounds. Similar temperature dependence of both in-plane and
inter-plane resistivities, in which the dominant contributions are coming from
different parts of the Fermi surface, suggests that scattering is the same on
the whole Fermi surface. Since magnetic fluctuations are expected to be much
stronger on the quasi-nested sheets, this observation may point to the
importance of the inter-orbital scattering between different sheets.


title:
Effect of jets on $v_4/v_2^2$ ratio and constituent quark scaling in
  relativistic heavy-ion collisions

abstract:
  The Monte Carlo HYDJET++ model, that combines parametrized hydrodynamics with
jets, is employed to study formation of second v_2 and fourth v_4 components of
the anisotropic flow in ultrarelativistic heavy-ion collisions at energies of
the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC),
sqrt{s}=200 AGeV and sqrt{s}=2.76 ATeV, respectively. It is shown that the
quenched jets contribute to the soft part of the v_2(p_T) and v_4(p_T) spectra.
The jets increase the ratio v_4/v_2^2 thus leading to deviations of the ratio
from the value of 0.5 predicted by the ideal hydrodynamics. Together with the
event-by-event fluctuations, the influence of jets can explain quantitatively
the ratio v_4/v_2^2 at p_T < 2 GeV/c for both energies and qualitatively the
rise of its high-p_T tail at LHC. Jets are also responsible for violation of
the number-of-constituent-quark (NCQ) scaling at LHC despite the fact that the
scaling is fulfilled for the hydro-part of particle spectra.


title: A Modelling Approach Based on Fuzzy Agents

abstract:
  Modelling of complex systems is mainly based on the decomposition of these
systems in autonomous elements, and the identification and definitio9n of
possible interactions between these elements. For this, the agent-based
approach is a modelling solution often proposed. Complexity can also be due to
external events or internal to systems, whose main characteristics are
uncertainty, imprecision, or whose perception is subjective (i.e. interpreted).
Insofar as fuzzy logic provides a solution for modelling uncertainty, the
concept of fuzzy agent can model both the complexity and uncertainty. This
paper focuses on introducing the concept of fuzzy agent: a classical
architecture of agent is redefined according to a fuzzy perspective. A
pedagogical illustration of fuzzy agentification of a smart watering system is
then proposed.


title: Steinhaus' lattice-point problem for Banach spaces

abstract:
  Steinhaus proved that given a~positive integer $n$, one may find a circle
surrounding exactly $n$ points of the integer lattice. This statement has been
recently extended to Hilbert spaces by Zwole\'{n}ski, who replaced the integer
lattice by any infinite set that intersects every ball in at most finitely many
points. We investigate Banach spaces satisfying this property, which we call
(S), and characterise them by means of a new geometric property of the unit
sphere which allows us to show, e.g., that all strictly convex norms have (S),
nonetheless, there are plenty of non-strictly convex norms satisfying (S). We
also study the corresponding renorming problem.


title: Entanglement creation in cold molecular gases using strong laser pulses

abstract:
  While many-particle entanglement can be found in natural solids and strongly
interacting atomic and molecular gases, generating highly entangled states
between weakly interacting particles in a controlled and scalable way presents
a significant challenge. We describe here a one-step method to generate
entanglement in a dilute gas of cold polar molecules. For molecules in optical
traps separated by a few micrometers, we show that maximally entangled states
can be created using the strong off-resonant pulses that are routinely used in
molecular alignment experiments. We show that the resulting alignment-mediated
entanglement can be detected by measuring laser-induced fluorescence with
single-site resolution and that signatures of this molecular entanglement also
appear in the microwave absorption spectra of the molecular ensemble. We
analyze the robustness of these entangled molecular states with respect to
intensity fluctuations of the trapping laser and discuss possible applications
of the system for quantum information processing.

categories: physics.atom-ph cond-mat.quant-gas physics.chem-ph quant-ph


title: Graphical functions and single-valued multiple polylogarithms

abstract:
  Graphical functions are single-valued complex functions which arise from
Feynman amplitudes. We study their properties and use their connection to
multiple polylogarithms to calculate Feynman periods. For the zig-zag and two
more families of phi^4 periods we give exact results modulo products. These
periods are proved to be expressible as integer linear combinations of
single-valued multiple polylogarithms evaluated at one. For the larger family
of 'constructible' graphs we give an algorithm that allows one to calculate
their periods by computer algebra. The theory of graphical functions is used to
prove the zig-zag conjecture.


title: Search for the decay Bs -> D*-+ \pi+-

abstract:
  A search for the decay Bs -> D*-+ \pi+- is presented using a data sample
corresponding to an integrated luminosity of 1.0 fb-1 of pp collisions
collected by LHCb. This decay is expected to be mediated by a W-exchange
diagram, with little contribution from rescattering processes, and therefore a
measurement of the branching fraction will help to understand the mechanism
behind related decays such as Bs -> \pi+ \pi- and Bs -> D Dbar. Systematic
uncertainties are minimised by using B0 -> D*-+ \pi+- as a normalisation
channel. We find no evidence for a signal, and set an upper limit on the
branching fraction of BR(Bs -> D*-+ \pi+-) < 6.1 (7.8) x10^(-6) at 90% (95%)
confidence level.


title: Hypercyclic subspaces on Fr\'echet spaces without continuous norm

abstract:
  Known results about hypercyclic subspaces concern either Fr\'echet spaces
with a continuous norm or the space \omega. We fill the gap between these
spaces by investigating Fr\'echet spaces without continuous norm. To this end,
we divide hypercyclic subspaces into two types: the hypercyclic subspaces M for
which there exists a continuous seminorm p such that M\cap \ker p=\{0\} and the
others. For each of these types of hypercyclic subspaces, we establish some
criteria. This investigation permits us to generalize several results about
hypercyclic subspaces on Fr\'echet spaces with a continuous norm and about
hypercyclic subspaces on \omega. In particular, we show that each
infinite-dimensional separable Fr\'echet space supports a mixing operator with
a hypercyclic subspace.


title:
On the relation between the Einstein field equations and the
  Jacobi-Ricci-Bianchi system

abstract:
  The 1+3 covariant equations, embedded in an extended tetrad formalism and
describing a space-time with an arbitrary energy-momentum distribution, are
reconsidered. It is shown that, provided the 1+3 splitting is performed with
respect to a generic timelike congruence with tangent vector u, the Einstein
field equations can be regarded as the integrability conditions for the Jacobi
and Bianchi equations together with the Ricci equations for u. The same
conclusion holds for a generic null congruence in the Newman-Penrose framework.


title:
Pressure dependence of the charge density wave in 1T-TaS2 and its
  relation to superconductivity

abstract:
  We present a state-of-the-art x-ray diffraction study of the charge density
wave order in 1T-TaS2 as a function of temperature and pressure. Our results
prove that the charge density wave, which we characterize in terms of wave
vector, amplitude and the coherence length, indeed exists in the
superconducting region of the phase diagram. The data further imply that the
ordered charge density wave structure as a whole becomes superconducting at low
temperatures, i. e, superconductivity and charge density wave coexist on a
macroscopic scale in real space. This result is fundamentally different from a
previously proposed separation of superconducting and insulating regions in
real space and, instead, provides evidence that the superconducting and the
charge density wave gap exist in separate regions of reciprocal space.


title: Optimal correction of independent and correlated errors

abstract:
  We identify optimal quantum error correction codes for situations that do not
admit perfect correction. We provide analytic n-qubit results for standard
cases with correlated errors on multiple qubits and demonstrate significant
improvements to the fidelity bounds and optimal entanglement decay profiles.


title: A Hi-GAL study of the high-mass star-forming region G29.96-0.02

abstract:
  Context. G29.96-0.02 is a high-mass star-forming cloud observed at 70, 160,
250, 350, and 500 microns as part of the Herschel survey of the Galactic Plane
during the Science Demonstration Phase. Aims. We wish to conduct a far-infrared
study of the sources associated with this star-forming region by estimating
their physical properties and evolutionary stage, and investigating the clump
mass function, the star formation efficiency and rate in the cloud. Methods. We
have identified the Hi-GAL sources associated with the cloud, searched for
possible counterparts at centimeter and infrared wavelengths, fitted their
spectral energy distribution and estimated their physical parameters. Results.
A total of 198 sources have been detected in all 5 Hi-GAL bands, 117 of which
are associated with 24 microns emission and 87 of which are not associated with
24 microns emission. We called the former sources 24 microns-bright and the
latter ones 24 microns-dark. The [70-160] color of the 24 microns-dark sources
is smaller than that of the 24 microns-bright ones. The 24 microns-dark sources
have lower L_bol and L_bol/M_env than the 24 microns-bright ones for similar
M_env, which suggests that they are in an earlier evolutionary phase. The
G29-SFR cloud is associated with 10 NVSS sources and with extended centimeter
continuum emission well correlated with the 70 microns emission. Most of the
NVSS sources appear to be early B or late O-type stars. The most massive and
luminous Hi-GAL sources in the cloud are located close to the G29-UC region,
which suggests that there is a privileged area for massive star formation
towards the center of the G29-SFR cloud. Almost all the Hi-GAL sources have
masses well above the Jeans mass but only 5% have masses above the virial mass,
which indicates that most of the sources are stable against gravitational
collapse. The sources with M_env > M_virial and that ...


title: A Conformal Prediction Approach to Explore Functional Data

abstract:
  This paper applies conformal prediction techniques to compute simultaneous
prediction bands and clustering trees for functional data. These tools can be
used to detect outliers and clusters. Both our prediction bands and clustering
trees provide prediction sets for the underlying stochastic process with a
guaranteed finite sample behavior, under no distributional assumptions. The
prediction sets are also informative in that they correspond to the high
density region of the underlying process. While ordinary conformal prediction
has high computational cost for functional data, we use the inductive conformal
predictor, together with several novel choices of conformity scores, to
simplify the computation. Our methods are illustrated on some real data
examples.


title:
Toroidal momentum transport in a tokamak caused by symmetry breaking
  parallel derivatives

abstract:
  A new mechanism for toroidal momentum transport in a tokamak is investigated
using the gyro-kinetic model. First, an analytic model is developed through the
use of the ballooning transform. The terms that generate the momentum transport
are then connected with the poloidal derivative of the ballooning envelope,
which are one order smaller in the normalised Larmor radius, compared with the
derivative of the eikonal. The mechanism, therefore, does not introduce an
inhomogeneity in the radial direction, in contrast with the effect of profile
shearing. Numerical simulations of the linear ion temperature gradient mode
with adiabatic electrons, retaining the finite rho* effects in the ExB
velocity, the drift, and the gyro-average, are presented. The momentum flux is
found to be linear in the normalised Larmor radius (\rho*) but is,
nevertheless, generating a sizeable counter-current rotation. The total
momentum flux scales linear with the aspect ratio of the considered magnetic
surface, and increases with increasing magnetic shear, safety factor, and
density and temperature gradients.


title: Embedding of Deterministic Test Data for In-Field Testing

abstract:
  This paper presents a new feedback shift register-based method for embedding
deterministic test patterns on-chip suitable for complementing conventional
BIST techniques for in-field testing. Our experimental results on 8 real
designs show that the presented approach outperforms the bit-flipping approach
by 24.7% on average. We also show that it is possible to exploit the uneven
distribution of don't care bits in test patterns in order to reduce the area
required for storing deterministic test patterns more than 3 times with less
than 2% fault coverage drop.


title: Existence and uniqueness for nonlinear anisotropic elliptic equations

abstract:
  We study the existence and uniqueness for weak solutions to some classes of
anisotropic elliptic Dirichlet problems with data belonging to the natural dual
space.


title: Dark Energy from graviton-mediated interactions in the QCD vacuum

abstract:
  Adopting the hypothesis about the exact cancellation of vacuum condensates
contributions to the ground state energy in particle physics to the leading
order in graviton-mediated interactions, we argue that the observable
cosmological constant can be dynamically induced by an uncompensated quantum
gravity correction to them after the QCD phase transition epoch. To start with,
we demonstrate a possible cancellation of the quark-gluon condensate
contribution to the total vacuum energy density of the Universe at temperatures
$T<100$ MeV without taking into account the graviton-mediated effects. In order
to incorporate the latter, we then calculate the leading-order quantum
correction to the classical Einstein equations due to metric fluctuations
induced by the non-perturbative vacuum fluctuations of the gluon and quark
fields in the quasiclassical approximation. It has been demonstrated that such
a correction to the vacuum energy density has a form $\varepsilon_{\Lambda}\sim
G \Lambda_{\rm QCD}^6$, where $G$ is the gravitational constant, and
$\Lambda_{\rm QCD}$ is the QCD scale parameter. We analyze capabilities of this
approach based on the synthesis between quantum gravity in quasiclassical
approximation and theory of non-perturbative QCD vacuum for quantitative
explanation of the observed Dark Energy density.


title:
Conformal metrics with constant curvature one and finite conical
  singularities on compact Riemann surfaces

abstract:
  A conformal metric $g$ with constant curvature one and finite conical
singularities on a compact Riemann surface $\Sigma$ can be thought of as the
pullback of the standard metric on the 2-sphere by a multi-valued locally
univalent meromorphic function $f$ on $\Sigma\backslash \{{\rm
singularities}\}$, called the {\it developing map} of the metric $g$. When the
developing map $f$ of such a metric $g$ on the compact Riemann surface $\Sigma$
has reducible monodromy, we show that, up to some M{\" o}bius transformation on
$f$, the logarithmic differential $d\,(\log\, f)$ of $f$ turns out to be an
abelian differential of 3rd kind on $\Sigma$, which satisfies some properties
and is called a {\it character 1-form of} $g$. Conversely, given such an
abelian differential $\omega$ of 3rd kind satisfying the above properties, we
prove that there exists a unique conformal metric $g$ on $\Sigma$ with constant
curvature one and conical singularities such that one of its character 1-forms
coincides with $\omega$. This provides new examples of conformal metrics on
compact Riemann surfaces of constant curvature one and with singularities.
Moreover, we prove that the developing map is a rational function for a
conformal metric $g$ with constant curvature one and finite conical
singularities with angles in $2\pi\,{\Bbb Z}_{>1}$ on the two-sphere.


title:
Topological and magnetic properties of the QCD vacuum probed by overlap
  fermions

abstract:
  We study some of the local CP-odd and magnetic properties of the non-Abelian
vacuum with use of overlap fermions within the quenched lattice gauge theory.
Among these properties are the following: inhomogeneous spatial distribution of
the topological charge density (chirality for massless fermions) in SU(2)
gluodynamics (for uncooled gauge configurations the chirality is localized on
low-dimensional defects with d=2..3, while a sequence of cooling steps gives
rise to four-dimensional instantons and hence a four-dimensional structure of
the chirality distribution); finite local fluctuations of the chirality growing
with the strength of an external magnetic field; magnetization and
susceptibility of the QCD vacuum in SU(3) theory; magnetic catalysis of the
chiral symmetry breaking, and the electric conductivity of the QCD vacuum in
strong magnetic fields.


title: Discontinuous Galerkin Methods with Trefftz Approximation

abstract:
  We present a novel Discontinuous Galerkin Finite Element Method for wave
propagation problems. The method employs space-time Trefftz-type basis
functions that satisfy the underlying partial differential equations and the
respective interface boundary conditions exactly in an element-wise fashion.
The basis functions can be of arbitrary high order, and we demonstrate spectral
convergence in the $\Lebesgue_2$-norm. In this context, spectral convergence is
obtained with respect to the approximation error in the entire space-time
domain of interest, i.e. in space and time simultaneously. Formulating the
approximation in terms of a space-time Trefftz basis makes high order time
integration an inherent property of the method and clearly sets it apart from
methods, that employ a high order approximation in space only.


title: Transparency of the Universe to gamma rays

abstract:
  Using the most recent observational data concerning the Extragalactic
Background Light and the Radio Background, for a source at a redshift z_s < 3
we compute the energy E_0 of an observed gamma-ray photon in the range 10 GeV <
E_0 < 10^13 GeV such that the resulting optical depth tau_gamma(E_0,z_s) takes
the values 1, 2, 3 and 4.6, corresponding to an observed flux dimming of e^-1 =
0.37, e^-2 = 0.14, e^-3 = 0.05 and e^-4.6 = 0.01, respectively. Below a source
distance D = 8 kpc we find that tau_gamma(E_0,DH_0/c) < 1 for any value of E_0.
In the limiting case of a local Universe (z_s = 0) we compare our result with
the one derived in 1997 by Coppi and Aharonian. The present achievement is of
paramount relevance for the planned ground-based detectors like CTA, HAWC and
HiSCORE.


title: Gamma-Ray Bursts, witnessing the birth of stellar mass black holes

abstract:
  Gamma-ray bursts are associated with catastrophic cosmic events. They appear
when a new black hole, created after the explosion of a massive star or the
merger of two compact stars, quickly accretes the matter around it and ejects a
transient relativistic jet in our direction. This review discusses the various
types of gamma-ray bursts, their progenitors, their beaming and their rate in
the local universe. We emphasize the broad astrophysical interest of GRB
studies, and the crucial role of high-energy satellites as exclusive suppliers
of GRB alerts and initial locations.


title: Double parton correlations in constituent quark models

abstract:
  Double parton correlations, having effects on the double parton scattering
processes occurring in high-energy hadron-hadron collisions, for example at the
LHC, are studied in the valence quark region, within constituent quark models.
In this framework, two particle correlations are present without any additional
prescription, at variance with what happens, for example, in independent
particle models, such as the MIT bag model in its simplest version. From the
present analysis, conclusions similar to the ones obtained recenty in a
modified version of the bag model can be drawn: correlations in the
longitudinal momenta of the active quarks are found to be sizable, while those
in transverse momentum are much smaller. However, the used framework allows to
understand clearly the dynamical origin of the correlations. In particular, it
is shown that the small size of the correlations in transverse momentum is a
model dependent result, which would not occur if models with sizable quark
orbital angular momentum were used to describe the proton. Our analysis permits
therefore to clarify the dynamical origin of the double parton correlations and
to establish which, among the features of the results, are model independent.
The possibility to test experimentally the studied effects is discussed.


title: Cosmological perturbations from statistical thermal fluctuations

abstract:
  Cosmological perturbations due to statistical thermal fluctuations in a
single fluid characterized by an arbitrary equation of state are computed.
Formulas to predict the scalar and tensor perturbation spectra and
nongaussianity parameters at a given temperature are derived. These results are
relevant to any cosmological scenario where cosmic structures may have been
seeded thermally instead of originating purely from quantum vacuum
fluctuations.


title:
Time lags of the kilohertz quasi-periodic oscillations in the low-mass
  X-ray binaries 4U 1608--52 and 4U 1636--53

abstract:
  (abridged) We studied the energy and frequency dependence of the Fourier time
lags and intrinsic coherence of the kHz QPOs in the NS LMXBs 4U 1608-52 and 4U
1636-53 using RXTE data. In both sources we confirmed energy-dependent soft
lags of 10-100 \mu s for the lower kHz QPO. We also found that the time lags of
the upper kHz QPO are independent of energy and inconsistent with the soft lags
of the lower kHz QPO. The intrinsic coherence of the lower kHz QPO remains
constant at 0.6 from 5 to 12 keV, and then drops to zero, while for the upper
kHz QPO the intrinsic coherence is consistent with zero across the full energy
range. The intrinsic coherence of the upper kHz QPO is consistent with zero
over the full frequency range of the QPO, except in 4U 1636-53 at ~780 Hz where
it increases to 0.13. In 4U 1636-53, for the lower kHz QPO the 4-12 keV photons
lag the 12-20 keV ones by 25 \mu s in the QPO frequency range 500-850 Hz, with
the lags decreasing to 15 \mu s at higher frequencies. In 4U 1608-52 the soft
lags of the lower kHz QPO remain constant at 40 \mu s. In 4U 1636-53, for the
upper kHz QPO the 12-20 keV photons lag the 4-12 keV ones by 11 +/- 3 \mu s,
independent of QPO frequency; we found consistent results for the time lags of
the upper kHz QPO in 4U 1608-52. The intrinsic coherence of the lower kHz QPO
increases from ~0-0.4 at 600 Hz to 1 and 0.6 at 800 Hz in 4U 1636-53 and 4U
1608-52, respectively. In 4U 1636-53 it decreases to 0.5 at 920 Hz, while in 4U
1608-52 we do not have data above 800 Hz. We discuss our results in the context
of scenarios in which the soft lags are either due to reflection off the
accretion disc or up-/down-scattering in a hot medium close to the neutron
star. We finally explore the connection between, on one hand the time lags and
the intrinsic coherence of the kHz QPOs, and on the other the QPOs' amplitude
and quality factor in these two sources.


title:
Fine properties of Lp-cocycles which allow abundance of simple and
  trivial spectrum

abstract:
  In this paper we generalize [3] and prove that the class of accessible and
saddle-conservative cocycles (a wide class which includes cocycles evolving in
GL(d,R), SL(d,R) and Sp(d,R) Lp-densely have a simple spectrum. We also
generalize [3, 1] and prove that for an Lp-residual subset of accessible
cocycles we have a one-point spectrum, by using a different approach of the one
given in [3]. Finally, we show that the linear differential system versions of
previous results also hold and give some applications.


title:
Waveform cross correlation for seismic monitoring of underground nuclear
  explosions. Part I: Grand master events

abstract:
  Seismic monitoring of the Comprehensive Nuclear-Test-Ban Treaty using
waveform cross correlation requires a uniform coverage of the globe with master
events well recorded at array stations of the International Monitoring System.
The essence of cross correlation as a monitoring tool consists in a continuous
comparison of digital waveforms at a given station with waveform templates from
the global set of master events. At array stations, cross correlation
demonstrates a higher resolution because the time delays at individual sensors
from master and slave events are the same but they may differ from theoretical
ones used in standard beamforming. In the regions where master events and thus
waveform templates are available, one can reduce the amplitude threshold of
signal detection by a factor of 2 to 3 relative to standard beamforming and
STA/LTA detector used at the International Data Centre. The gain in sensitivity
corresponds to a body wave magnitude reduction by 0.3 to 0.4 units and doubles
the number of detected events. This gain is crucial for seismic monitoring
under the CTBT. The coverage by real master events is sparse and confined to
areas with historical seismicity, however. In two parts of this study, we
investigate the possibility to populate the global grid with real and synthetic
master events. In Part I, we replicate a high-quality master event over a
regular grid several hundred kilometers from its actual position. In Part II,
we model waveform templates using synthetic seismograms with the aim to apply
them in aseismic zones. Both approaches are tested using the aftershock
sequence of the April 11, 2012 Sumatera earthquake (Ms(IDC)=8.2). We used
sixteen master events to recover the aftershocks in the Reviewed Event Bulletin
of the IDC.


title: Spin transfer nano-oscillators

abstract:
  The use of spin transfer nano-oscillators (STNOs) to generate microwave
signal in nanoscale devices have aroused tremendous and continuous research
interest in recent years. Their key features are frequency tunability,
nanoscale size, broad working temperature, and easy integration with standard
silicon technology. In this feature article, we give an overview of recent
developments and breakthroughs in the materials, geometry design and properties
of STNOs. We focus in more depth on our latest advances in STNOs with
perpendicular anisotropy showing a way to improve the output power of STNO
towards the {\mu}W range. Challenges and perspectives of the STNOs that might
be productive topics for future research were also briefly discussed.


title: Magnetic white dwarfs with debris discs

abstract:
  It has long been accepted that a possible mechanism for explaining the
existence of magnetic white dwarfs is the merger of a binary white dwarf
system, as there are viable mechanisms for producing sustainable magnetic
fields within the merger product. However, the lack of rapid rotators in the
magnetic white dwarf population has been always considered a problematic issue
of this scenario. Smoothed Particle Hydrodynamics simulations show that in
mergers in which the two white dwarfs have different masses a disc around the
central compact object is formed. If the central object is magnetized it can
interact with the disc through its magnetosphere. The torque applied by the
disc changes the spin of the star, whereas the transferred angular momentum
from the star to the disc determines the properties of the disc. In this work
we build a model for the disc evolution under the effect of magnetic accretion,
and for the angular momentum evolution of the star, which can be compared with
the observations. Our model predicts that the magnetospheric interaction of
magnetic white dwarfs with their discs results in a significant spin down, and
we show that for magnetic white dwarfs with relatively strong fields (larger
than 10 MG) the observed rotation periods of the magnetic white dwarf
population can be reproduced. We also investigate whether turbulence can be
sustained during the late phases of the evolution of the system. When a
critical temperature below which turbulence is not sustained is introduced into
the model, the periods of the three fast rotating, strongly magnetic, massive
white dwarfs in the solar neighborhood are recovered.


title:
Nonequilibrium configuration interaction method for transport in
  correlated quantum systems

abstract:
  We present a new approach to treat correlations in nonequilibrium quantum
many-particle system. The method is based on ideas of configuration interaction
theory of exact nonperturbative ground state electronic structure calculations.
We use superoperator techniques in Liouville-Fock space and represent the
nonequilibrium density matrix as a linear combination of all possible
nonequilibrium quasiparticle excitations built on the appropriate reference
state. As an example we consider the electron transport through the system with
electron-phonon interaction. The concept of embedding (buffer zones between the
reservoirs and the correlated quantum system) is used to derive an exact master
equation for the reduced density matrix. Using approximate (truncated)
expansion of the trial density matrix we obtain the linear system of equations
for two-quasiparticle amplitudes. Then we compute the steady-state current and
compare the result with other approaches. The current conserving property of
the method is proved.


title: A hybrid metal/semiconductor electron pump for quantum metrology

abstract:
  Electron pumps capable of delivering a current higher than 100pA with
sufficient accuracy are likely to become the direct mise en pratique of the
possible new quantum definition of the ampere. Furthermore, they are essential
for closing the quantum metrological triangle experiment which tests for
possible corrections to the quantum relations linking e and h, the electron
charge and the Planck constant, to voltage, resistance and current. We present
here single-island hybrid metal/semiconductor transistor pumps which combine
the simplicity and efficiency of Coulomb blockade in metals with the
unsurpassed performances of silicon switches. Robust and simple pumping at
650MHz and 0.5K is demonstrated. The pumped current obtained over a voltage
bias range of 1.4mV corresponds to a relative deviation of 5e-4 from the
calculated value, well within the 1.5e-3 uncertainty of the measurement setup.
Multi-charge pumping can be performed. The simple design fully integrated in an
industrial CMOS process makes it an ideal candidate for national measurement
institutes to realize and share a future quantum ampere.


title: Coherent State Wave Functions on a Torus with a Constant Magnetic Field

abstract:
  We study two alternative definitions of localized states in the lowest Landau
level (LLL) on a torus. One definition is to construct localized states, as
projection of the coordinate delta function onto the LLL. Another definition,
proposed by Haldane, is to consider the set of functions which have all their
zeros at a single point. Since a LLL wave function on a torus, supporting
$N_\phi$ magnetic flux quanta, is uniquely defined by the position of its
$N_\phi$ zeros, this defines a set of functions that are expected to be
localized around the point maximally far away form the zeros. These two
families of localized states have many properties in common with the coherent
states on the plane and on the sphere, {\em viz.} a resolution of unity and a
self-reproducing kernel. However, we show that only the projected delta
function is maximally localized. Additionally, we show how to project onto the
LLL, functions that contain holomorphic derivatives and/or anti-holomorphic
polynomials, and apply our methods in the description of hierarchical quantum
Hall liquids


title: Non-linear constitutive equations for gravitoelectromagnetism

abstract:
  This paper studies non-linear constitutive equations for
gravitoelectromagnetism. Eventually, the problem is solved of finding, for a
given particular solution of the gravity-Maxwell equations, the exact form of
the corresponding non-linear constitutive equations.


title:
Analysis of double hybrid density-functionals along the adiabatic
  connection

abstract:
  We present a graphical analysis of the adiabatic connections underlying
double-hybrid density-functional methods that employ second-order perturbation
theory. Approximate adiabatic connection formulae relevant to the construction
of these functionals are derived and compared directly with those calculated
using accurate ab initio methods. The discontinuous nature of the approximate
adiabatic integrands is emphasized, the discontinuities occurring at
interaction strengths which mark the transitions between regions that are: (i)
described predominantly by second- order perturbation theory (ii) described by
a mixture of density-functional and second-order perturbation theory
contributions and (iii) described purely by density-functional theory.
Numerical examples are presented for a selection of small molecular systems and
van der Waals dimers. The impacts of commonly used approximations in each of
the three sections of the adiabatic connection are discussed along with
possible routes for the development of improved double-hybrid methodologies.


title:
Explicit reconstruction of line-currents and their positions in a
  two-dimensional parallel conductor structure

abstract:
  The magnetic inverse source problem of reconstructing the positions and
currents of very long parallel conductors is considered in a two-dimensional
situation, with applications to power line measurements. The input data is the
magnetic field on a contour surrounding the conductors to be reconstructed.
Using a scalar-vector Green identity, an explicit reconstruction algorithm is
derived. The numerical implementation of the algorithm is described and
simulation results are presented, demonstrating the influences from numerical
errors and uncertainties in measurement data. The algorithm can handle an
arbitrary number of conductors, but stability problems associated with the
illposedness accelerate with increasing number of conductors. Mathematically,
the Green identity approach removes the influence of external disturbances and
thus have potential usefulness in current reconstruction for determining
optimal sensor positions and how to process measurement data.


title: Untangling two systems of noncrossing curves

abstract:
  We consider two systems of curves $(\alpha_1,...,\alpha_m)$ and
$(\beta_1,...,\beta_n)$ drawn on a compact two-dimensional surface $M$ with
boundary.
  Each $\alpha_i$ and each $\beta_j$ is either an arc meeting the boundary of
$M$ at its two endpoints, or a closed curve. The $\alpha_i$ are pairwise
disjoint except for possibly sharing endpoints, and similarly for the
$\beta_j$. We want to "untangle" the $\beta_j$ from the $\alpha_i$ by a
self-homeomorphism of $M$; more precisely, we seek a homeomorphism
$\phi:M\rightarrow M$ fixing the boundary of $M$ pointwise such that the total
number of crossings of the $\alpha_i$ with the $\phi(\beta_j)$ is as small as
possible. This problem is motivated by an application in the algorithmic theory
of embeddings and 3-manifolds.
  We prove that if $M$ is planar, i.e., a sphere with $h\geq 0$ boundary
components ("holes"), then $O(mn)$ crossings can be achieved (independently of
$h$), which is asymptotically tight, as an easy lower bound shows.
  In general, for an arbitrary (orientable or nonorientable) surface $M$ with
$h$ holes and of (orientable or nonorientable) genus $g$, we obtain an
$O((m+n)^4)$ upper bound, again independent of $h$ and $g$.
  The proofs rely, among others, on a result concerning simultaneous planar
drawings of graphs by Erten and Kobourov.


title:
Magnon-mediated thermal transport in antiferromagnets: the link to
  momentum-resolved magnon lifetime data

abstract:
  Transport currents in solids decay through collisions of quasiparticles with
each other and with defects or boundaries. Since information about collisional
lifetimes is difficult to obtain, most calculations of transport properties
rely on parameters that are not known independently. Here, we use magnon
lifetime data for the two-dimensional antiferromagnet Rb2MnF4 to calculate the
magnon-mediated thermal conductivity without any adjustable parameters, thereby
quantifying the influence of scattering from domain boundaries on transport.
Related strategies have the potential to enhance our understanding of thermal
transport by electronic and phononic quasiparticles greatly.


title: Signal amplification in an agent-based herding model

abstract:
  A growing part of the behavioral finance literature has addressed some of the
stylized facts of financial time series as macroscopic patterns emerging from
herding interactions among groups of agents with heterogeneous trading
strategies and a limited rationality. We extend a stochastic herding formalism
introduced for the modeling of decision making among financial agents, in order
to take also into account an external influence. In particular, we study the
amplification of an external signal imposed upon the agents by a mechanism of
resonance. This signal can be interpreted as an advertising or a public
perception in favor or against one of the two possible trading behaviors, thus
periodically breaking the symmetry of the system and acting as a continuously
varying exogenous shock. The conditions for the ensemble of agents to more
accurately follow the periodicity of the signal are studied, finding a maximum
in the response of the system for a given range of values of both the noise and
the frequency of the input signal.


title: Differential Landauer's principle

abstract:
  Landauer's principle states that the erasure of information must be a
dissipative process. In this paper, we carefully analyze the recording and
erasure of information on a physical memory. On the one hand, we show that in
order to record some information, the memory has to be driven out of
equilibrium. On the other hand, we derive a differential version of Landauer's
principle: We link the rate at which entropy is produced at every time of the
erasure process to the rate at which information is erased.


title: The XMM-Newton SSC survey of the Galactic Plane

abstract:
  Many different classes of X-ray sources contribute to the Galactic landscape
at high energies. Although the nature of the most luminous X-ray emitters is
now fairly well understood, the population of low-to-medium X-ray luminosity
(Lx = 10^27-10^34 erg/s) sources remains much less studied, our knowledge being
mostly based on the observation of local members. The advent of wide field and
high sensitivity X-ray telescopes such as XMM-Newton now offers the opportunity
to observe this low-to-medium Lx population at large distances. We report on
the results of a Galactic plane survey conducted by the XMM-Newton Survey
Science Centre (SSC). Beyond its astrophysical goals, this survey aims at
gathering a representative sample of identified X-ray sources at low latitude
that can be used later on to statistically identify the rest of the
serendipitous sources discovered in the Milky Way. The survey is based on 26
XMM-Newton observations, obtained at |b| < 20 deg, distributed over a large
range in Galactic longitudes and covering a summed area of 4 deg2. The flux
limit of our survey is 2 x 10-15 erg/cm^2/s in the soft (0.5 - 2 keV) band and
1 x 10^-14 erg/cm^2/s in the hard (2 - 12 keV) band. We detect a total of 1319
individual X-ray sources. Using optical follow-up observations supplemented by
cross-correlation with a large range of multi-wavelength archival catalogues we
identify 316 X-ray sources. This constitutes the largest group of
spectroscopically identified low latitude X-ray sources at this flux level. The
majority of the identified X-ray sources are active coronae with spectral types
in the range A - M at maximum distances of ~ 1 kpc. The number of identified
active stars increases towards late spectral types, reaching a maximum at K.
(abridged)