title:
Intensity-Resolved Above Threshold Ionization of Xenon with Short Laser
  Pulses

abstract:
  We present intensity-resolved above threshold ionization (ATI) spectra of
xenon using an intensity scanning and deconvolution technique. Experimental
data were obtained with laser pulses of 58 fs and central wavelength of 800 nm
from a chirped-pulse amplifier. Applying a deconvolution algorithm, we obtained
spectra that have higher contrast and are in excellent agreement with
characteristic 2 $U_p$ and 10 $U_p$ cutoff energies contrary to that found for
raw data. The retrieved electron ionization probability is consistent with the
presence of a second electron from double ionization. This recovered ionization
probability is confirmed with a calculation based on the PPT tunneling
ionization model [Perelomov, Popov, and Terent'ev, Sov. Phys. JETP 23, 924
(1966)]. Thus, the measurements of photoelectron yields and the proposed
deconvolution technique allowed retrieval of more accurate spectroscopic
information from the ATI spectra and ionization probability features that are
usually concealed by volume averaging.


title:
Infinitely many small energy solutions of a semilinear Schrodinger
  equation

abstract:
  In this paper we prove the existence of infinitely many small energy solution
of a semilinear Schrodinger equation via the dual form of the generalized
fountain theorem. This equation is with periodic potential and concave-convex
nonlinearities.


title:
Implementation of a Direct-Imaging and FX Correlator for the BEST-2
  Array

abstract:
  A new digital backend has been developed for the BEST-2 array at
Radiotelescopi di Medicina, INAF-IRA, Italy which allows concurrent operation
of an FX correlator, and a direct-imaging correlator and beamformer. This
backend serves as a platform for testing some of the spatial Fourier transform
concepts which have been proposed for use in computing correlations on
regularly gridded arrays. While spatial Fourier transform-based beamformers
have been implemented previously, this is to our knowledge, the first time a
direct-imaging correlator has been deployed on a radio astronomy array.
Concurrent observations with the FX and direct-imaging correlator allows for
direct comparison between the two architectures. Additionally, we show the
potential of the direct-imaging correlator for time-domain astronomy, by
passing a subset of beams though a pulsar and transient detection pipeline.
These results provide a timely verification for spatial Fourier transform-based
instruments that are currently in commissioning. These instruments aim to
detect highly-redshifted hydrogen from the Epoch of Reionization and/or to
perform widefield surveys for time-domain studies of the radio sky. We
experimentally show the direct-imaging correlator architecture to be a viable
solution for correlation and beamforming.


title: Abstract "hypergeometric" orthogonal polynomials

abstract:
  We find all polynomials solutions $P_n(x)$ of the abstract "hypergeometric"
equation $L P_n(x) = \lambda_n P_n(x)$, where $L$ is a linear operator sending
any polynomial of degree $n$ to a polynomial of the same degree with the
property that $L$ is two-diagonal in the monomial basis, i.e. $L x^n =
\lambda_n x^n + \mu_n x^{n-1}$ with arbitrary nonzero coefficients $\lambda_n,
\mu_n$ . Under obvious nondegenerate conditions, the polynomial eigensolutions
$L P_n(x) = \lambda_n P_n(x)$ are unique. The main result of the paper is a
classification of all {\it orthogonal} polynomials $P_n(x)$ of such type, i.e.
$P_n(x)$ are assumed to be orthogonal with respect to a nondegenerate linear
functional $\sigma$. We show that the only solutions are: Jacobi, Laguerre
(correspondingly little $q$-Jacobi and little $q$-Laguerre and other special
and degenerate cases), Bessel and little -1 Jacobi polynomials.


title: On power graphs of finite groups with forbidden induced subgraphs

abstract:
  The power graph $\mathcal{P}(G)$ of a finite group $G$ is a graph whose
vertex set is the group $G$ and distinct elements $x,y\in G$ are adjacent if
one is a power of the other, that is, $x$ and $y$ are adjacent if $x\in\langle
y\rangle$ or $y\in\langle x\rangle$. We characterize all finite groups $G$
whose power graphs are claw-free, $K_{1,4}$-free or $C_4$-free.


title:
The Evolution of Natural Cities from the Perspective of Location-Based
  Social Media

abstract:
  This paper examines the former location-based social medium Brightkite, over
its three-year life span, based on the concept of natural cities. The term
'natural cities' refers to spatially clustered geographic events, such as the
agglomerated patches aggregated from individual social media users' locations.
We applied the head/tail division rule to derive natural cities, based on the
fact that there are far more low-density locations than high-density locations
on the earth surface. More specifically, we generated a triangulated irregular
network, made up of individual unique user locations, and then categorized
small triangles (smaller than an average) as natural cities for the United
States (mainland) on a monthly basis. The concept of natural cities provides a
powerful means to develop new insights into the evolution of real cities,
because there are virtually no data available to track the history of cities
across their entire life spans and at very fine spatial and temporal scales.
Therefore, natural cities can act as a good proxy of real cities, in the sense
of understanding underlying interactions, at a global level, rather than of
predicting cities, at an individual level. Apart from the data produced and the
contributed methods, we established new insights into the structure and
dynamics of natural cities, e.g., the idea that natural cities evolve in
nonlinear manners at both spatial and temporal dimensions.
  Keywords: Big data, head/tail breaks, ht-index, power laws, fractal, and
nonlinearity


title: A Linear-Time Algorithm for Trust Region Problems

abstract:
  We consider the fundamental problem of maximizing a general quadratic
function over an ellipsoidal domain, also known as the trust region problem. We
give the first provable linear-time (in the number of non-zero entries of the
input) algorithm for approximately solving this problem. Specifically, our
algorithm returns an $\epsilon$-approximate solution in time
$\tilde{O}(N/\sqrt{\epsilon})$, where $N$ is the number of non-zero entries in
the input. This matches the runtime of Nesterov's accelerated gradient descent,
suitable for the special case in which the quadratic function is concave, and
the runtime of the Lanczos method which is applicable when the problem is
purely quadratic.


title:
Dynamics and Afterglow Light Curves of GRB Blast Waves Encountering a
  Density Bump or Void

abstract:
  We investigate the dynamics and afterglow light curves of gamma-ray burst
(GRB) blast waves that encounter various density structures (such as bumps,
voids, or steps) in the surrounding ambient medium. We present and explain the
characteristic response features that each type of density structures in the
medium leaves on the forward shock (FS) and reverse shock (RS) dynamics, for
blast waves with either a long-lived or short-lived RS. We show that, when the
ambient medium density drops, the blast waves exhibit in some cases a period of
an actual acceleration (even during their deceleration stage), due to adiabatic
cooling of blast waves. Comparing numerical examples that have different shapes
of bumps or voids, we propose a number of consistency tests that correct
modeling of blast waves needs to satisfy. Our model results successfully pass
these tests. Employing a Lagrangian description of blast waves, we perform a
sophisticated calculation of afterglow emission. We show that, as a response to
density structures in the ambient medium, the RS light curves produce more
significant variations than the FS light curves. Some observed features (such
as re-brightenings, dips, or slow wiggles) can be more easily explained within
the RS model. We also discuss on the origin of these different features
imprinted on the FS and RS light curves.


title:
Modeling the behavior of reinforced concrete walls under fire,
  considering the impact of the span on firewalls

abstract:
  Numerical modeling using computers is known to present several advantages
compared to experimental testing. The high cost and the amount of time required
to prepare and to perform a test were among the main problems on the table when
the first tools for modeling structures in fire were developed. The discipline
structures-in-fire modeling is still currently the subject of important
research efforts around the word, those research efforts led to develop many
software. In this paper, our task is oriented to the study of fire behavior and
the impact of the span reinforced concrete walls with different sections
belonging to a residential building braced by a system composed of porticoes
and sails. Regarding the design and mechanical loading (compression forces and
moments) exerted on the walls in question, we are based on the results of a
study conducted at cold. We use on this subject the software Safir witch obeys
to the Eurocode laws, to realize this study. It was found that loading,
heating, and sizing play a capital role in the state of failed walls. Our
results justify well the use of reinforced concrete walls, acting as a
firewall. Their role is to limit the spread of fire from one structure to
another structure nearby, since we get fire resistance reaching more than 10
hours depending on the loading considered.


title: On the connectivity of proper power graphs of finite groups

abstract:
  We study the connectivity of proper power graphs of some family of finite
groups including nilpotent groups, groups with a non-trivial partition, and
symmetric and alternating groups.


title:
Consciousness results when communication modifies the form of
  self-estimated fitness

abstract:
  The origin and development of consciousness is poorly understood. Although it
is clearly a naturalistic phenomenon evolved through Darwinian evolution,
explaining it in terms of physicochemical, neural, or symbolic mechanisms
remains elusive. Here I propose that two steps had to be taken in its
evolution. First, living systems evolved an intrinsic goal-directedness by
internalizing Darwinian fitness as a self-estimated fitness. The self-estimated
fitness participates in a feedback loop that effectively produces intrinsic
meaning in the organism. Second, animals with advanced nervous systems evolved
a special form of communication that modifies the way each partner estimates
fitness. The resulting change in intrinsic meaning is experienced subjectively
as a primary form of consciousness. This primary form is subsequently used to
generate, partly through internalized dialogue, more complex forms of
consciousness, such as consciousness of the natural and social worlds,
consciousness of the self, and language-dependent forms of consciousness.


title:
Long-time dynamics of quantum chains: transfer-matrix renormalization
  group and entanglement of the maximal eigenvector

abstract:
  By using a different quantum-to-classical mapping from the Trotter-Suzuki
decomposition, we identify the entanglement structure of the maximal
eigenvectors for the associated quantum transfer matrix. This observation
provides a deeper insight into the problem of linear growth of the entanglement
entropy in time evolution using conventional methods. Based on this
observation, we propose a general method for arbitrary temperatures using the
biorthonormal transfer-matrix renormalization group. Our method exhibits a
competitive accuracy with a much cheaper computational cost in comparison with
two recent proposed methods for long-time dynamics based on a folding algorithm
[Phys. Rev. Lett. 102, 240603 (2009)] and a modified time-dependent
density-matrix renormalization group [Phys. Rev. Lett. 108, 227206 (2012)].


title:
Measure electron beam energy with the time-resolved beam parameters
  measurement system and magnetic analyzer mode

abstract:
  Time-resolved beam parameters measurement system can be achieve electron beam
energy in LIA. In this paper introduce work principle and method of
time-resolved beam parameters measurement system. Show the experiment layout of
energy measuring. The principle of magnetic analyzer was described, with the
bending radius of 300 mm and the bending angle of 60 degree after hard-edge
approximation, The measured energy is about 18MeV, the maximum energy variation
is 2%.


title: The Gravity Dual of Supersymmetric Renyi Entropy

abstract:
  Supersymmetric Renyi entropies are defined for three-dimensional N=2
superconformal field theories on a branched covering of a three-sphere by using
the localized partition functions. Under a conformal transformation, the
branched covering is mapped to S^1 x H^2, whose gravity dual is the charged
topological AdS_4 black hole. The black hole can be embedded into
four-dimensional N=2 gauged supergravity where the mass and charge are related
so that it preserves half of the supersymmetries. We compute the supersymmetric
Renyi entropies with and without a certain type of Wilson loop operators in the
gravity theory. We find they agree with those of the dual field theories in the
large-N limit.


title:
Assessing the effects of mode-dependent loss in space-division
  multiplexed systems

abstract:
  Mode-dependent loss (MDL) is known to be a major issue in space-division
multiplexed (SMD) systems. Its effect on performance is complex as it affects
both the data carrying signal and the accumulated amplification noise. In this
paper we propose a procedure for characterizing the MDL of SDM systems by means
of standard measurements that are routinely performed on SDM setups. The figure
of merit that we present for quantifying MDL incorporates the effect on the
transmitted signal and the noise and is directly related to the spectral
efficiency reduction.


title:
Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case
  Study

abstract:
  In this paper, we generalize the unitarity method to two-loop diagrams and
use it to discuss the integral bases of reduction. To test out method, we focus
on the four-point double-box diagram as well as its related daughter diagrams,
i.e., the double-triangle diagram and the triangle-box diagram. For later two
kinds of diagrams, we have given complete analytical results in general
(4-2\eps)-dimension.


title:
Mackey's criterion for subgroup restriction of Kronecker products and
  harmonic analysis on Clifford groups

abstract:
  We present a criterion for multiplicity-freeness of the decomposition of the
restriction Res$^G_H(\rho_1 \otimes \rho_2)$ of the Kronecker product of two
generic irreducible representations $\rho_1, \rho_2$ of a finite group $G$ with
respect to a subgroup $H \leq G$. This constitutes a generalization of a well
known criterion due to Mackey (which corresponds to the case $H = G$). The
corresponding harmonic analysis is illustated by detailed computations on the
Clifford groups $G={\mathbb{CL}}(n)$, together with the subgroups
$H={\mathbb{CL}}(n-1)$, for $n \geq 1$, which lead to an explicit decomposition
of the restriction of Kronecker products.


title:
Spectral signature of oscillating slender tori surrounding Kerr black
  holes

abstract:
  Context. Some microquasars exhibit millisecond quasi-periodic oscillations
(QPO) that are likely related to phenomena occuring in the immediate vicinity
of the central black hole. Oscillations of accretion tori have been proposed to
model these QPOs. Aims. Here, we aim at determining the observable spectral
signature of slender accretion tori surrounding Kerr black holes. We analyze
the impact of the inclination and spin parameters on the power spectra.
Methods. Ray-traced power spectra of slender tori oscillation modes are
computed in the Kerr metric. Results. We show that the power spectral densities
of oscillating tori are very sensitive to the inclination and spin parameters.
This strong dependency of the temporal spectra on inclination and spin may lead
to observable constraints of these parameters. Conclusions. This work goes a
step further in the analysis of the oscillating torus QPO model. It is part of
a long-term study that will ultimately lead to comparison with observed data.


title: Acoustic Bessel-like beam formation by an axisymmetric grating

abstract:
  We report Bessel-like beam formation of acoustic waves by means of an
axisymmetric grating of rigid tori. The results show that the generated beam
pattern is similar to that of Bessel beams, characterized by elongated
non-diffracting focal spots. A multiple foci structure is observed, due to the
finite size of the lens. The dependence of the focal distance on the frequency
is also discussed, on the basis of an extended grating theory. Experimental
validation of acoustic Bessel-like beam formation is also reported for sound
waves. The results can be generalized to wave beams of different nature, as
optical or matter waves.


title:
Edge states in 2D lattices with hopping anisotropy and Chebyshev
  polynomials

abstract:
  Analytic technique based on Chebyshev polynomials is developed for studying
two-dimensional lattice ribbons with hopping anisotropy. In particular, the
tight-binding models on square and triangle lattice ribbons are investigated
with anisotropic nearest neighbouring hoppings. For special values of hopping
parameters the square lattice becomes topologically equivalent to a honeycomb
one either with zigzag or armchair edges. In those cases as well as for
triangle lattices we perform the exact analytic diagonalization of
tight-binding Hamiltonians in terms of Chebyshev polynomials. Deep inside the
edge state subband the wave functions exhibit exponential spatial damping which
turns into power-law damping at edge-bulk transition point. It is shown that
strong hopping anisotropy crashes down edge states, and the corresponding
critical conditions are found.


title: Ballistic transport in graphene grown by chemical vapor deposition

abstract:
  In this letter we report the observation of ballistic transport on micron
length scales in graphene synthesised by chemical vapour deposition (CVD).
Transport measurements were done on Hall bar geometries in a liquid He
cryostat. Using non-local measurements we show that electrons can be
ballistically directed by a magnetic field (transverse magnetic focussing) over
length scales of ~\mu m. Comparison with atomic force microscope measurements
suggests a correlation between the absence of wrinkles and the presence of
ballistic transport in CVD graphene.


title:
Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix
  Theory

abstract:
  The investigation of universality questions for local eigenvalue statistics
continues to be a driving force in the theory of Random Matrices. For Matrix
Models [53] the method of orthogonal polynomials can be used and the
asymptotics of the Christoffel-Darboux kernel [59] become the key for studying
universality. In this paper the existing results on the CD-kernel will be
extended in two directions. Firstly, in order to analyze the transition from
the universal to the non-universal regime, we provide leading order asymptotics
that are global rather than local. This allows e.g. to describe the moderate
deviations for the largest eigenvalues of unitary ensembles ($\beta$ = 2),
where such a transition occurs. Secondly, our asymptotics will be uniform under
perturbations of the probability measure that defines the matrix ensemble. Such
information is useful for the analysis of a different type of ensembles [25],
which is not known to be determinantal and for which the method of orthogonal
polynomials cannot be used directly. The just described applications of our
results are formulated in this paper but will be proved elsewhere. As a
byproduct of our analysis we derive first order corrections for the 1-point
correlation functions of unitary ensembles in the bulk. Our proofs are based on
the nonlinear steepest descent method [20]. They follow closely [17] and
incorporate improvements introduced in [36, 64]. The presentation is
self-contained except for a number of general facts from Random Matrix theory
and from the theory of singular integral operators.


title: Dynamic Hybrid Traffic Flow Modeling

abstract:
  A flow of moving agents can be observed at different scales. Thus, in traffic
modeling, three levels are generally considered: the micro, meso and macro
levels, representing respectively the interactions between vehicles, groups of
vehicles sharing common properties (such as a common destination or a common
localization) and flows of vehicles. Each approach is useful in a given
context: micro and meso models allow to simulate road networks with complex
topologies such as urban area, while macro models allow to develop control
strategies to prevent congestion in highways. However, to simulate large-scale
road networks, it can be interesting to integrate different representations,
e.g., micro and macro, in a single model. Existing models share the same
limitation: connections between levels are fixed a priori and cannot be changed
at runtime. Therefore, to be able to observe some emerging phenomena such as
congestion formation or to find the exact location of a jam in a large macro
section, a dynamic hybrid modeling approach is needed. In 2013 we started the
development of a multi-level agent-based simulator called JAM-FREE within the
ISART project. It allows to simulate large road networks efficiently using a
dynamic level of detail. This simulator relies on a multi-level agent-based
modeling framework called SIMILAR.


title: Effect of dust on Kelvin-Helmholtz instabilities

abstract:
  Dust is present in a large variety of astrophysical fluids, from tori around
supermassive black holes to molecular clouds, protoplanetary discs, and
cometary outflows. In many such fluids, shearing flows are present, leading to
the formation of Kelvin-Helmholtz instabilities (KHI) and changing the
properties and structures of the fluid through processes such as mixing and
clumping of dust. We investigate how dust changes the growth rates of the KHI
in 2D and 3D and how the it redistributes and clumps dust. We investigate if
similarities can be found between the structures in 3D KHI and those seen in
observations of molecular clouds. We do this by performing numerical
hydrodynamical dust+gas simulations with in addition to gas a number of dust
fluids. Each dust fluid represents a portion of the particle size-distribution.
We study how dust-to-gas mass density ratios between 0.01 and 1 alter the
growth rate in the linear phase of the KHI. We do this for a wide range of
perturbation wavelengths, and compare these values to the analytical gas-only
growth rates. As the formation of high-density dust structures is of interest
in many astrophysical environments, we scale our simulations with physical
quantities similar to values in molecular clouds. Large differences in dynamics
are seen for different grain sizes. We demonstrate that high dust-to-gas ratios
significantly reduce the growth rate of the KHI, especially for short
wavelengths. We compare the dynamics in 2D and 3D simulations, where the latter
demonstrates additional full 3D instabilities during the non-linear phase,
leading to increased dust densities. We compare the structures formed by the
KHI in 3D simulations with those in molecular clouds and see how the column
density distribution of the simulation shares similarities with log-normal
distributions with power-law tails sometimes seen in observations of molecular
clouds.


title:
Methods for Collision-Free Navigation of Multiple Mobile Robots in
  Unknown Cluttered Environments

abstract:
  Navigation and guidance of autonomous vehicles is a fundamental problem in
robotics, which has attracted intensive research in recent decades. This report
is mainly concerned with provable collision avoidance of multiple autonomous
vehicles operating in unknown cluttered environments, using reactive
decentralized navigation laws, where obstacle information is supplied by some
sensor system.
  Recently, robust and decentralized variants of model predictive control based
navigation systems have been applied to vehicle navigation problems. Properties
such as provable collision avoidance under disturbance and provable convergence
to a target have been shown; however these often require significant
computational and communicative capabilities, and don't consider sensor
constraints, making real time use somewhat difficult. There also seems to be
opportunity to develop a better trade-off between tractability, optimality, and
robustness.
  The main contributions of this work are as follows; firstly, the integration
of the robust model predictive control concept with reactive navigation
strategies based on local path planning, which is applied to both holonomic and
unicycle vehicle models subjected to acceleration bounds and disturbance;
secondly, the extension of model predictive control type methods to situations
where the information about the obstacle is limited to a discrete ray-based
sensor model, for which provably safe, convergent boundary following can be
shown; and thirdly the development of novel constraints allowing decentralized
coordination of multiple vehicles using a robust model predictive control type
approach, where a single communication exchange is used per control update,
vehicles are allowed to perform planning simultaneously, and coherency
objectives are avoided.


title: Recent results of the OPERA experiment

abstract:
  The OPERA experiment aims at the direct confirmation of the leading
oscillation mechanism in the atmospheric sector looking for the appearance of
$\nu_{\tau}$ in an almost pure $\nu_{\mu}$ beam (the CERN CNGS beam). In five
years of physics run the experiment collected $17.97 \times 10^{19}$ p.o.t. The
detection of $\tau$s produced in $\nu_{\tau}$ CC interactions and of their
decays is accomplished exploiting the high spatial resolution of nuclear
emulsions. Furthermore OPERA has good capabilities in detecting electron
neutrino interactions, setting limits on the $\nu_{\mu} \rightarrow \nu_{e}$
oscillation channel. In this talk the status of the analysis will be presented
together with updated results on both oscillation channels.


title:
Riemann--Hilbert problem for Camassa--Holm equation with step-like
  initial data

abstract:
  The Cauchy problem for the Camassa -- Holm equation with step-like initial
conditions is reformulated as a Riemann -- Hilbert problem. The the initial
value problem solution is obtained then in a parametric form from the Riemann
-- Hilbert problem solution.


title: Dielectric rod feed for compact range reflector

abstract:
  A dielectric rod feed with a special radiation pattern of a tabletop form
used for the compact range reflector is developed and analyzed. Application of
this feed increases the size of the compact range quiet zone generated by the
reflector. The feed consists of the dielectric rod made of polystyren, the rod
is inserted into the circular waveguide with a corrugated flange. The waveguide
is excited by the H11-mode. The rod is covered by the textolite biconical
bushing and has a fluoroplastic insert in the vicinity of the bushing.
Mathematical modeling was used to obtain the parameters of the feed for the
optimal tabletop form of the radiation pattern. The problem of the
electromagnetic radiation was solved for metal-dielectric bodies of rotation by
method of integral equations with further solving of the problem of the
synthesis for feed parameters. The dielectric rod feed was fabricated for the
X-frequency range. Feed amplitude and phase patterns were measured in the
frequency range 8.2-12.5 GHz. Presented results of mathematical modeling and
measurements for X-range radiation patterns correlate well. It is shown that
this feed increases by 20-25% the quiet zone of the compact range with
reflector in the form of nonsymmetrical cutting of the paraboloid of revolution
5.0 x 4.5 m in size in the frequency range 8.5-10.0 GHz as compared to a
conical horn feed.


title: Scattering length for Lennard-Jones potentials

abstract:
  We present an exact procedure that allows one to calculate the scattering
lenth for any potential expressed as an algebraic sum of inverse powers of the
interatomic distance. We apply it to (12, $s$) Lennard-Jones potentials, with
different values of $s$. The procedure is suitable for a very precise
determination of the intensities of the potential corresponding to zeros or
poles of the scattering length.


title: On the potential of mean force of a sterically stabilized dispersion

abstract:
  The potential of mean force (PMF) of a colloidal dispersion under various
circumstances of current interest, such as varying solvent quality, polymer
coating thickness, and addition of electrostatic interaction is obtained from
radial distribution functions available from the literature. They are based on
an implicit solvent, molecular dynamics simulation study of a model titania
dispersion that takes into account three major components to the interaction
between colloidal particles, namely van der Waals attraction, repulsion between
polymer coating layers, and a hard core particle repulsion. Additionally, a
screened form of the electrostatic interaction was included also. It is argued
that optimal conditions for dispersion stability can be derived from a
comparative analysis of the PMF under the different situations under study.
This thermodynamics based analysis is believed to be more accessible to
specialists working on the development of improved titania formulations than
that based on the more abstract, radial distribution functions.


title:
Many singularities are not stably equivalent to Newton-non-degenerate
  singularities

abstract:
  This paper has been withdrawn. Consider an isolated complex hypersurface
singularity, f(x_1,..,x_n)=0. For Newton-non-degenerate singularities the local
topology is completely determined by an associated polyhedral object, the
Newton diagram. "Most" singularities are not Newton-non-degenerate, for any
choice of local coordinates. An old question of Arnol'd asks whether for any
hypersurface singularity there exists a stabilization,
f(x_1,...,x_n)+z^2_1+...+z^2_r, that becomes Newton-non-degenerate after some
change of coordinates. The answer is: "totally no". We give some simple
obstructions and present particular examples of plane curve singularities that
have no Newton-non-degenerate stabilization (in any local coordinates).


title: More lectures on Hilbert schemes of points on surfaces

abstract:
  This paper is based on author's lectures at Kyoto University in 2010 Summer,
and in the 6th MSJ-SI `Development of Moduli Theory' at RIMS in June 2013.
  The purpose of lectures was to review several results on Hilbert schemes of
points which were obtained after author's lecture note was written. Among many
results, we choose those which are about equivariant homology groups
$H^T_*(X^{[n]})$ of Hilbert schemes of points on the affine plane $X = \mathbb
C^2$ with respect to the torus action.


title:
Nonparametric gamma kernel estimators of density derivatives on positive
  semiaxis

abstract:
  We consider nonparametric estimation of the derivative of a probability
density function with the bounded support on $[0,\infty)$. Estimates are looked
up in the class of estimates with asymmetric gamma kernel functions. The use of
gamma kernels is due to the fact they are nonnegative, change their shape
depending on the position on the semi-axis and possess other good properties.
We found analytical expressions for bias, variance, mean integrated squared
error (MISE) of the derivative estimate. An optimal bandwidth, the optimal
MISE, and rate of mean square convergence of the estimates for density
derivative have also been found.


title:
Comparison of two approaches for the treatment of Gutzwiller variational
  wave functions

abstract:
  In this work we analyze the variational problem emerging from the Gutzwiller
approach to strongly correlated systems. This problem comprises the two main
steps: evaluation and minimization of the ground state energy $W$ for the
postulated Gutzwiller Wave Function (GWF). We discuss the available methods for
evaluating $W$, in particular the recently proposed diagrammatic expansion
method. We compare the two existing approaches to minimize $W$: the standard
approach based on the effective single-particle Hamiltonian (EH) and the
so-called Statistically-consistent Gutzwiller Approximation (SGA). On the
example of the superconducting phase analysis we show that these approaches
lead to the same minimum as it should be. However, the calculations within the
SGA method are easier to perform and the two approaches allow for a simple
cross-check of the obtained results. Finally, we show two ways of solving the
equations resulting from the variational procedure, as well as how to
incorporate the condition for a fixed number of particles.


title: Non-Elementary Complexities for Branching VASS, MELL, and Extensions

abstract:
  We study the complexity of reachability problems on branching extensions of
vector addition systems, which allows us to derive new non-elementary
complexity bounds for fragments and variants of propositional linear logic. We
show that provability in the multiplicative exponential fragment is Tower-hard
already in the affine case---and hence non-elementary. We match this lower
bound for the full propositional affine linear logic, proving its
Tower-completeness. We also show that provability in propositional contractive
linear logic is Ackermann-complete.


title:
Ultrafast switching to a stable hidden topologically protected quantum
  state in an electronic crystal

abstract:
  Hidden states of matter with novel and unusual properties may be created if a
system out of equilibrium can be induced to follow a trajectory to a state
which is inaccessible or does not even exist under normal equilibrium
conditions. Here we report on the discovery of a hidden (H) topologically
protected electronic state in a layered dichalcogenide 1T-TaS2 crystal reached
as a result of a quench caused by a single 35 fs laser pulse. The properties of
the H state are markedly different from any other state of the system: it
exhibits a large drop of electrical resistance, strongly modified single
particle and collective mode spectra and a marked change of optical
reflectivity. Particularly important and unusual, the H state is stable for an
arbitrarily long time until a laser pulse, electrical current or thermal erase
procedure is applied, causing it to revert to the thermodynamic ground state.
Major observed events can be reproduced by a kinetic model describing the
conversion of photo excited electrons and holes into an electronically ordered
crystal, thus converting a Mott insulator to a conducting H state. Its
long-time stability follows from the topological protection of the number of
periods in the electronic crystal.


title: On the capacity of the dither-quantized Gaussian channel

abstract:
  This paper studies the capacity of the peak-and-average-power-limited
Gaussian channel when its output is quantized using a dithered, infinite-level,
uniform quantizer of step size $\Delta$. It is shown that the capacity of this
channel tends to that of the unquantized Gaussian channel when $\Delta$ tends
to zero, and it tends to zero when $\Delta$ tends to infinity. In the low
signal-to-noise ratio (SNR) regime, it is shown that, when the peak-power
constraint is absent, the low-SNR asymptotic capacity is equal to that of the
unquantized channel irrespective of $\Delta$. Furthermore, an expression for
the low-SNR asymptotic capacity for finite peak-to-average-power ratios is
given and evaluated in the low- and high-resolution limit. It is demonstrated
that, in this case, the low-SNR asymptotic capacity converges to that of the
unquantized channel when $\Delta$ tends to zero, and it tends to zero when
$\Delta$ tends to infinity. Comparing these results with achievability results
for (undithered) 1-bit quantization, it is observed that the dither reduces
capacity in the low-precision limit, and it reduces the low-SNR asymptotic
capacity unless the peak-to-average-power ratio is unbounded.


title: The Gysin Sequence for Quantum Lens Spaces

abstract:
  We define quantum lens spaces as `direct sums of line bundles' and exhibit
them as `total spaces' of certain principal bundles over quantum projective
spaces. For each of these quantum lens spaces we construct an analogue of the
classical Gysin sequence in K-theory. We use the sequence to compute the
K-theory of the quantum lens spaces, in particular to give explicit geometric
representatives of their K-theory classes. These representatives are
interpreted as `line bundles' over quantum lens spaces and generically define
`torsion classes'. We work out explicit examples of these classes.


title: Inflection point analysis for Greek seismicity 1900-2006

abstract:
  The seismicity of Greek region is studied under the prism of ESE & EDE
methods for finding the inflection point of cumulative energy released. Main
shocks are chosen from 106 years data. The result is that with both methods a
critical time region exist at the end of 1982 to early 1983. After this time
the seismicity tends to increase and gives remarkable events, like Athens Sep
1999 earthquake.


title:
Optimal Power Allocation in Block Fading Gaussian Channels with Causal
  CSI and Secrecy Constraints

abstract:
  The optimal power allocation that maximizes the secrecy capacity of block
fading Gaussian (BF-Gaussian) networks with causal channel state information
(CSI), M-block delay tolerance and a frame based power constraint is examined.
In particular, we formulate the secrecy capacity maximization as a dynamic
program. We propose suitable linear approximations of the secrecy capacity
density in the low SNR, the high SNR and the intermediate SNR regimes,
according to the overall available power budget. Our findings indicate that
when the available power resources are very low (low SNR case) the optimal
strategy is a threshold policy. On the other hand when the available power
budget is infinite (high SNR case) a constant power policy maximizes the frame
secrecy capacity. Finally, when the power budget is finite (medium SNR case),
an approximate tractable power allocation policy is derived.


title:
Determination of the Fermi Level Position in Dilute Magnetic
  Ga$_{1-x}$Mn$_{x}$N Films

abstract:
  We report on a combined theoretical and experimental determination of the
Fermi level position in wurtzite Ga$_{1-x}$Mn$_{x}$N films with $x=4\%$ and
$x=10\%$ as grown by molecular beam epitaxy. By means of ellipsometric
measurements the real part of the frequency-dependent conductivity is
determined. An electronic model in the framework of the effective bond-orbital
model is parameterized in order to theoretically reproduce the measured
transport properties. Predictions for the long-wavelength behaviour as a
function of the Fermi level are made. The corresponding density of states
obtained in this model is in qualitative agreement with first-principle
calculations. The absence of a significant experimental peak in the AC
conductivity for small frequencies indicates that the Fermi level lies in a gap
between two Mn-related impurity bands in the host band gap.


title:
High temperature superconductivity in the two-dimensional $t$-$J$ model:
  Gutzwiller wave function solution

abstract:
  A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF)
proposed very recently is used for the description of superconducting (SC)
ground state in the two-dimensional square-lattice $t$-$J$ model with the
hopping electron amplitudes $t$ (and $t'$) between nearest (and next-nearest)
neighbors. On the example of the SC state analysis we provide a detailed
comparison of the method results with other approaches. Namely: (i) the
truncated DE-GWF method reproduces the variational Monte Carlo (VMC) results;
(ii) in the lowest (zeroth) order of the expansion the method can reproduce the
analytical results of the standard Gutzwiller approximation (GA), as well as of
the recently proposed "grand-canonical Gutzwiller approximation" (GCGA). We
obtain important features of the SC state. First, the SC gap at the Fermi
surface resembles a $d_{x^2-y^2}$-wave only for optimally- and overdoped
system, being diminished in the antinodal regions for the underdoped case in a
qualitative agreement with experiment. Corrections to the gap structure are
shown to arise from the longer range of the real-space pairing. Second, the
nodal Fermi velocity is almost constant as a function of doping and agrees
semi-quantitatively with experimental results. Third, we compare the doping
dependence of the gap magnitude with experimental data. Fourth, we analyze the
$\mathbf{k}$-space properties of the model: Fermi surface topology and
effective dispersion. The DE-GWF method opens up new perspectives for studying
strongly-correlated systems, as: (i) it works in the thermodynamic limit, (ii)
is comparable in accuracy to VMC, and (iii) has numerical complexity comparable
to GA (i.e., it provides the results much faster than the VMC approach).


title:
Direct determination of exchange parameters in Cs2CuBr4 and Cs2CuCl4:
  high-field ESR studies

abstract:
  Spin-1/2 Heisenberg antiferromagnets Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$ with
distorted triangular-lattice structures are studied by means of electron spin
resonance spectroscopy in magnetic fields up to the saturation field and above.
In the magnetically saturated phase, quantum fluctuations are fully suppressed,
and the spin dynamics is defined by ordinary magnons. This allows us to
accurately describe the magnetic excitation spectra in both materials and,
using the harmonic spin-wave theory, to determine their exchange parameters.
The viability of the proposed method was proven by applying it to
Cs$_2$CuCl$_4$, yielding $J/k_B=4.7(2)$ K, $J'/k_B=1.42(7)$ K [$J'/J\simeq
0.30$] and revealing good agreement with inelastic neutron-scattering results.
For the isostructural Cs$_2$CuBr$_4$, we obtain $J/k_B=14.9(7)$ K,
$J'/k_B=6.1(3)$ K, [$J'/J\simeq 0.41$], providing exact and conclusive
information on the exchange couplings in this frustrated spin system.


title: Parallel *-Ricci tensor of real hypersurfaces in CP^2 and CH^2

abstract:
  The non-existence of three dimensional real hypersurfaces in non-flat complex
space forms with parallel *-Ricci tensor is proved.At the end of the papaer
ideas for further research on *-Ricci tensor are provided.


title:
Calculating the bending moduli of the Canham--Helfrich free-energy
  density from a particular potential

abstract:
  The Canham--Helfrich free-energy density for a lipid bilayer involves the
mean and Gaussian curvatures of the midsurface of the bilayer. The splay and
saddle-splay moduli $\kappa$ and $\bar\kappa$ regulate the sensitivity of the
free-energy density to changes of these curvatures. Seguin and Fried derived
the Canham--Helfrich energy by taking into account the interactions between the
molecules comprising the bilayer, giving rise to integral representations for
the moduli in terms of the interaction potential. In the present work, two
potentials are chosen and the integrals are evaluated to yield expressions for
the moduli, which are found to depend on parameters associated with each
potential. These results are compared with values of the moduli found in the
current literature.


title: Inductively guided circuits for ultracold dressed atoms

abstract:
  We propose a flexible and robust scheme to create closed quasi-one
dimensional guides for ultra-cold atoms through the dressing of hyperfine
sub-levels of the atomic ground state. The dressing field is spatially
modulated by inductive effects over a micro-engineered conducting loop, freeing
the trapping region from leading wires in its proximity. We show that arrays of
connected ring traps can also be created by carefully designing the shape of
the conducting loop. We report on characteristics of the trap and mechanisms
that limit the range of parameters available for experimental implementation,
including non-adiabatic losses and heat dissipation by induced currents. We
outline conditions to select appropriate parameters for operation of the trap
with atom-chip technology.


title:
Correlators of arbitrary untwisted operators and excited twist operators
  for N branes at angles

abstract:
  We compute the generic correlator with L untwisted operators and N (excited)
twist fields for branes at angles on T^2 and show that it is given by a
generalization of the Wick theorem. We give also the recipe to compute
efficiently the generic OPE between an untwisted operator and an excited
twisted state.


title: SDSS1133: An Unusually Persistent Transient in a Nearby Dwarf Galaxy

abstract:
  While performing a survey to detect recoiling supermassive black holes, we
have identified an unusual source having a projected offset of 800 pc from a
nearby dwarf galaxy. The object, SDSS J113323.97+550415.8, exhibits broad
emission lines and strong variability. While originally classified as a
supernova (SN) because of its nondetection in 2005, we detect it in recent and
past observations over 63 yr and find over a magnitude of rebrightening in the
last 2 years. Using high-resolution adaptive optics observations, we constrain
the source emission region to be <12 pc and find a disturbed host-galaxy
morphology indicative of recent merger activity. Observations taken over more
than a decade show narrow [O III] lines, constant ultraviolet emission, broad
Balmer lines, a constant putative black hole mass over a decade of observations
despite changes in the continuum, and optical emission-line diagnostics
consistent with an active galactic nucleus (AGN). However, the optical spectra
exhibit blueshifted absorption, and eventually narrow Fe II and [Ca II]
emission, each of which is rarely found in AGN spectra. While this peculiar
source displays many of the observational properties expected of a potential
black hole recoil candidate, some of the properties could also be explained by
a luminous blue variable star (LBV) erupting for decades since 1950, followed
by a Type IIn SN in 2001. Interpreted as an LBV followed by a SN analogous to
SN 2009ip, the multi-decade LBV eruptions would be the longest ever observed,
and the broad Halpha emission would be the most luminous ever observed at late
times (>10 yr), larger than that of unusually luminous supernovae such as SN
1988Z, suggesting one of the most extreme episodes of pre-SN mass loss ever
discovered.


title: Slotted Aloha for Networked Base Stations

abstract:
  We study multiple base station, multi-access systems in which the user-base
station adjacency is induced by geographical proximity. At each slot, each user
transmits (is active) with a certain probability, independently of other users,
and is heard by all base stations within the distance $r$. Both the users and
base stations are placed uniformly at random over the (unit) area. We first
consider a non-cooperative decoding where base stations work in isolation, but
a user is decoded as soon as one of its nearby base stations reads a clean
signal from it. We find the decoding probability and quantify the gains
introduced by multiple base stations. Specifically, the peak throughput
increases linearly with the number of base stations $m$ and is roughly $m/4$
larger than the throughput of a single-base station that uses standard slotted
Aloha. Next, we propose a cooperative decoding, where the mutually close base
stations inform each other whenever they decode a user inside their coverage
overlap. At each base station, the messages received from the nearby stations
help resolve collisions by the interference cancellation mechanism. Building
from our exact formulas for the non-cooperative case, we provide a heuristic
formula for the cooperative decoding probability that reflects well the actual
performance. Finally, we demonstrate by simulation significant gains of
cooperation with respect to the non-cooperative decoding.


title: Functional Approach to Electrodynamics of Media

abstract:
  In this article, we put forward a new approach to electrodynamics of
materials. Based on the identification of induced electromagnetic fields as the
microscopic counterparts of polarization and magnetization, we systematically
employ the mutual functional dependencies of induced, external and total field
quantities. This allows for a unified, relativistic description of the
electromagnetic response without assuming the material to be composed of
electric or magnetic dipoles. Using this approach, we derive universal
(material-independent) relations between electromagnetic response functions
such as the dielectric tensor, the magnetic susceptibility and the microscopic
conductivity tensor. Our formulae can be reduced to well-known identities in
special cases, but more generally include the effects of inhomogeneity,
anisotropy, magnetoelectric coupling and relativistic retardation. If combined
with the Kubo formalism, they would also lend themselves to the ab initio
calculation of all linear electromagnetic response functions.

categories: cond-mat.mtrl-sci math-ph math.MP physics.class-ph


title:
Data-driven bandwidth choice for gamma kernel estimates of density
  derivatives on the positive semi-axis

abstract:
  In some applications it is necessary to estimate derivatives of probability
densities defined on the positive semi-axis. The quality of nonparametric
estimates of the probability densities and their derivatives are strongly
influenced by smoothing parameters (bandwidths). In this paper an expression
for the optimal smoothing parameter of the gamma kernel estimate of the density
derivative is obtained. For this parameter data-driven estimates based on
methods called "rule of thumb" and "cross-validation" are constructed. The
quality of the estimates is verified and demonstrated on examples of density
derivatives generated by Maxwell and Weibull distributions.


title: Pseudo-Riemannian Symmetries on Heisenberg groups

abstract:
  The notion of $\Gamma$-symmetric space is a natural generalization of the
classical notion of symmetric space based on $\Z_2$-grading of Lie algebras. In
our case, we consider homogeneous spaces $G/H$ such that the Lie algebra $\g$
of $G$ admits a $\Gamma$-grading where $\Gamma$ is a finite abelian group. In
this work we study Riemannian metrics and Lorentzian metrics on the Heisenberg
group $\mathbb{H}_3$ adapted to the symmetries of a $\Gamma$-symmetric
structure on $\mathbb{H}_3$. We prove that the classification of $\z$-symmetric
Riemannian and Lorentzian metrics on $\mathbb{H}_3$ corresponds to the
classification of left-invariant Riemannian and Lorentzian metrics, up to
isometry. We study also the $\Z_2^k$-symmetric structures on $G/H$ when $G$ is
the $(2p+1)$-dimensional Heisenberg group for $k \geq 1$. This gives examples
of non riemannian symmetric spaces. When $k \geq 1$, we show that there exists
a family of flat and torsion free affine connections adapted to the
$\Z_2^k$-symmetric structures.


title: On Efficiency and Validity of Previous Homeplug MAC Performance Analysis

abstract:
  The Medium Access Control protocol of Power Line Communication networks
(defined in Homeplug and IEEE 1901 standards) has received relatively modest
attention from the research community. As a consequence, there is only one
analytic model that complies with the standardised MAC procedures and considers
unsaturated conditions. We identify two important limitations of the existing
analytic model: high computational expense and predicted results just prior to
the predicted saturation point do not correspond to long-term network
performance. In this work, we present a simplification of the previously
defined analytic model of Homeplug MAC able to substantially reduce its
complexity and demonstrate that the previous performance results just before
predicted saturation correspond to a transitory phase. We determine that the
causes of previous misprediction are common analytical assumptions and the
potential occurrence of a transitory phase, that we show to be of extremely
long duration under certain circumstances. We also provide techniques, both
analytical and experimental, to correctly predict long-term behaviour and
analyse the effect of specific Homeplug/IEEE 1901 features on the magnitude of
misprediction errors.


title: On the Kazhdan--Lusztig cells in type $E_8$

abstract:
  In 1979, Kazhdan and Lusztig introduced the notion of "cells" (left, right
and two-sided) for a Coxeter group $W$, a concept with numerous applications in
Lie theory and around. Here, we address algorithmic aspects of this theory for
finite $W$ which are important in applications, e.g., run explicitly through
all left cells, determine the values of Lusztig's $\ba$-function, identify the
characters of left cell representations. The aim is to show how type $E_8$ (the
largest group of exceptional type) can be handled systematically and
efficiently, too. This allows us, for the first time, to solve some open
questions in this case, including Kottwitz' conjecture on left cells and
involutions. Further experiments suggest a characterisation of left cells,
valid for any finite $W$, in terms of Lusztig's $\ba$-function and a slight
modification of Vogan's generalized $\tau$-invariant.


title: Relations between Short Range and Long Range Ising models

abstract:
  We perform a numerical study of the long range (LR) ferromagnetic Ising model
with power law decaying interactions ($J \propto r^{-d-\sigma}$) both on a
one-dimensional chain ($d=1$) and on a square lattice ($d=2$). We use advanced
cluster algorithms to avoid the critical slowing down. We first check the
validity of the relation connecting the critical behavior of the LR model with
parameters $(d,\sigma)$ to that of a short range (SR) model in an equivalent
dimension $D$. We then study the critical behavior of the $d=2$ LR model close
to the lower critical $\sigma$, uncovering that the spatial correlation
function decays with two different power laws: the effect of the subdominant
power law is much stronger than finite size effects and actually makes the
estimate of critical exponents very subtle. By including this subdominant power
law, the numerical data are consistent with the standard renormalization group
(RG) prediction by Sak, thus making not necessary (and unlikely, according to
Occam's razor) the recent proposal by Picco of having a new set of RG fixed
points, in addition to the mean-field one and the SR one.


title: Eventual regularity for the parabolic minimal surface equation

abstract:
  We show that the parabolic minimal surface equation has an eventual
regularization effect, that is, the solution becomes smooth after a (strictly
positive) finite time.


title: Nonconvex bundle method with application to a delamination problem

abstract:
  Delamination is a typical failure mode of composite materials caused by weak
bonding. It arises when a crack initiates and propagates under a destructive
loading. Given the physical law characterizing the properties of the interlayer
adhesive between the bonded bodies, we consider the problem of computing the
propagation of the crack front and the stress field along the contact boundary.
This leads to a hemivariational inequality, which after discretization by
finite elements we solve by a nonconvex bundle method, where upper-$C^1$
criteria have to be minimized. As this is in contrast with other classes of
mechanical problems with non-monotone friction laws and in other applied
fields, where criteria are typically lower-$C^1$, we propose a bundle method
suited for both types of nonsmoothness. We prove its global convergence in the
sense of subsequences and test it on a typical delamination problem of material
sciences.


title:
Easton supported Jensen coding and projective measure without projective
  Baire

abstract:
  We prove that it is consistent relative to a Mahlo cardinal that all sets of
reals definable from countable sequences of ordinals are Lebesgue measurable,
but at the same time, there is a $\Delta^1_3$ set without the Baire property.
To this end, we introduce a notion of stratified forcing and stratified
extension and prove an iteration theorem for these classes of forcings.
Moreover we introduce a variant of Shelah's amalgamation technique that
preserves stratification. The complexity of the set which provides a
counterexample to the Baire property is optimal.


title: BLM Scale Fixing in Event Shape Distributions

abstract:
  We study the application of the Brodsky-Lepage-Mackenzie (BLM) scale setting
prescription to event shape distributions in electron-positron collisions. The
renormalization scale is set dynamically according to the BLM method. We study
NLO predictions and we discuss extensions of the prescription to NNLO.


title:
Slotted Aloha for Networked Base Stations with Spatial and Temporal
  Diversity

abstract:
  We consider framed slotted Aloha where $m$ base stations cooperate to decode
messages from $n$ users. Users and base stations are placed uniformly at random
over an area. At each frame, each user sends multiple replicas of its packet
according to a prescribed distribution, and it is heard by all base stations
within the communication radius $r$. Base stations employ a decoding algorithm
that utilizes the successive interference cancellation mechanism, both in
space--across neighboring base stations, and in time--across different slots,
locally at each base station. We show that there exists a threshold on the
normalized load $G=n/(\tau m)$, where $\tau$ is the number of slots per frame,
below which decoding probability converges asymptotically (as
$n,m,\tau\rightarrow \infty$, $r\rightarrow 0$) to the maximal possible
value--the probability that a user is heard by at least one base station, and
we find a lower bound on the threshold. Further, we give a heuristic evaluation
of the decoding probability based on the and-or-tree analysis. Finally, we show
that the peak throughput increases linearly in the number of base stations.


title:
SOPHIE velocimetry of Kepler transit candidates XI. Kepler-412 system:
  probing the properties of a new inflated hot Jupiter

abstract:
  We confirm the planetary nature of Kepler-412b, listed as planet candidate
KOI-202 in the Kepler catalog, thanks to our radial velocity follow-up program
of Kepler-released planet candidates, which is on going with the SOPHIE
spectrograph. We performed a complete analysis of the system by combining the
Kepler observations from Q1 to Q15, to ground-based spectroscopic observations
that allowed us to derive radial velocity measurements, together with the host
star parameters and properties. We also analyzed the light curve to derive the
star's rotation period and the phase function of the planet, including the
secondary eclipse. We found the planet has a mass of 0.939 $\pm$ 0.085
M$_{Jup}$ and a radius of 1.325 $\pm$ 0.043 R$_{Jup}$ which makes it a member
of the bloated giant subgroup. It orbits its G3 V host star in 1.72 days. The
system has an isochronal age of 5.1 Gyr, consistent with its moderate stellar
activity as observed in the Kepler light curve and the rotation of the star of
17.2 $\pm$ 1.6 days. From the detected secondary, we derived the day side
temperature as a function of the geometric albedo and estimated the geometrical
albedo, Ag, is in the range 0.094 to 0.013. The measured night side flux
corresponds to a night side brightness temperature of 2154 $\pm$ 83 K, much
greater than what is expected for a planet with homogeneous heat
redistribution. From the comparison to star and planet evolution models, we
found that dissipation should operate in the deep interior of the planet. This
modeling also shows that despite its inflated radius, the planet presents a
noticeable amount of heavy elements, which accounts for a mass fraction of 0.11
$\pm$ 0.04.


title: Are There Different Populations of Flux Ropes in the Solar Wind?

abstract:
  Flux ropes are twisted magnetic structures, which can be detected by in situ
measurements in the solar wind. However, different properties of detected flux
ropes suggest different types of flux-rope population. As such, are there
different populations of flux ropes? The answer is positive, and is the result
of the analysis of four lists of flux ropes, including magnetic clouds (MCs),
observed at 1 AU. The in situ data for the four lists have been fitted with the
same cylindrical force-free field model, which provides an estimation of the
local flux-rope parameters such as its radius and orientation. Since the
flux-rope distributions have a large dynamic range, we go beyond a simple
histogram analysis by developing a partition technique that uniformly
distributes the statistical fluctuations over the radius range. By doing so, we
find that small flux ropes with radius R<0.1 AU have a steep power-law
distribution in contrast to the larger flux ropes (identified as MCs), which
have a Gaussian-like distribution. Next, from four CME catalogs, we estimate
the expected flux-rope frequency per year at 1 AU. We find that the predicted
numbers are similar to the frequencies of MCs observed in situ. However, we
also find that small flux ropes are at least ten times too abundant to
correspond to CMEs, even to narrow ones. Investigating the different possible
scenarios for the origin of those small flux ropes, we conclude that these
twisted structures can be formed by blowout jets in the low corona or in
coronal streamers.


title: Background subtraction using probabilistic event weights

abstract:
  Background treatment is crucial to extract physics from precision
experiments. In this paper, we introduce a novel method to assign each event a
signal probability. This could then be used to weight the event's contribution
to the likelihood during fitting. To illustrate the effect of this method, we
test it with MC samples. The consistence between the constructed background and
the background from MC truth shows that the background subtraction method with
probabilistic event weights is feasible in partial wave analysis at BES III.


title:
Crystal structures of LaO1-xFxBiS2 (x~0.23, 0.46): effect of F doping on
  distortion of Bi-S plane

abstract:
  The crystal structures of superconducting LaO1-xFxBiS2 (x ~ 0.23, 0.46) were
determined by single-crystal X-ray diffraction analysis. Their space group was
P4/nmm. Distortion of the Bi-S plane changed when the F content was increased
from 0.23 to 0.46, and a nearly flat Bi-S plane was formed at x ~ 0.46.
Computational calculations supported this effect of F doping on distortion of
Bi-S plane. LaO1-xFxBiS2 with higher F contents were computationally predicted
to be thermodynamically more unstable under ambient pressure. We discussed the
bonding, conductivities, and synthetic routes of LaO1-xFxBiS2.


title:
Ultra Luminous X-ray Sources: a deeper insight into their spectral
  evolution

abstract:
  We select a sample of nearby Ultraluminous X-ray sources with long XMM-Newton
observations and analyse all the available XMM-Newton data using both X-ray
spectral fitting techniques and hardness-intensity diagrams. The sample
includes IC 342 X-1, NGC 5204 X-1, NGC 5408 X-1, Holmberg IX X-1, Holmberg II
X-1, NGC 1313 X-1, NGC 1313 X-2 and NGC 253 X-1. We found that, although a
common reference model can be used to describe the X-ray spectra, the sources
show different spectral evolutions, phenomenologically described in terms of
variations in the properties of a soft component and a high energy tail.
Variations at low energies are accounted for (mostly) by changes in the
normalization of the soft component and/or in the column density to the source,
while variations in the high energy tail by changes in the parameters of an
optically thick corona. This spectral variability is rather well characterized
on a colour-colour and hardness-intensity diagram in terms of suitably defined
hardness ratios. We suggest the existence of a variability pattern on the
hardness-intensity diagram and we interpret it in terms of the switch between a
near-Eddington and a super-Eddington accretion regime. The transition between
the two regimes seems to be driven mostly by changes in the contribution of the
soft component, which can be explained in terms of the increasing importance of
wind emission. The analysis is complemented by an investigation of the
short-term time variability of all the sources. In general, no clear
correlation between the spectral and temporal properties is found.


title: Strongly regular graphs with the 7-vertex condition

abstract:
  The $t$-vertex condition, for an integer $t\ge 2$, was introduced by Hestenes
and Higman in 1971, providing a combinatorial invariant defined on edges and
non-edges of a graph. Finite rank 3 graphs satisfy the condition for all values
of $t$. Moreover, a long-standing conjecture of M. Klin asserts the existence
of an integer $t_0$ such that a graph satisfies the $t_0$-vertex condition if
and only if it is a rank 3 graph.
  We construct the first infinite family of non-rank 3 strongly regular graphs
satisfying the $7$-vertex condition. This implies that the Klin parameter $t_0$
is at least 8. The examples are the point graphs of a certain family of
generalised quadrangles.


title:
Nuclear parton density modifications from low-mass lepton pair
  production at the LHC

abstract:
  In this article, we investigate the potential of low-mass lepton pair
production in proton-ion collisions at the LHC to constrain nuclear
modifications of parton densities. Similarly to prompt photon production, the
transverse momentum spectrum is shown to be dominated by the QCD Compton
process, but has virtually no fragmentation or isolation uncertainties.
Depending on the orientation of the proton and ion beams and on the use of
central or forward detector components, all interesting regions of nuclear
effects (shadowing, antishadowing, isospin and EMC effects) can be probed.
Ratios of cross sections allow to eliminate theoretical scale and bare-proton
parton density errors as well as many experimental systematic uncertainties.


title:
Medium-resolution echelle spectroscopy of pulsating variables and
  exoplanet host stars with sub-meter telescopes

abstract:
  Here we present two of our interesting results obtained over the last 18
months from spectroscopic monitoring of binary pulsating stars and exoplanet
host stars. Our investigations are very promising by demonstrating that modern
fiber-fed spectrographs open a whole new chapter in the life of small national
and university observatories.


title: Explicit form of Cassels' $p$-adic embedding theorem for number fields

abstract:
  In this paper, we mainly give a general explicit form of Cassels' $p$-adic
embedding theorem for number fields. We also give its refined form in the case
of cyclotomic fields. As a byproduct, given an irreducible polynomial $f$ over
$Z$, we give a general unconditional upper bound for the smallest prime number
$p$ such that $f$ has a simple root modulo $p$.


title: On nilpotent commuting varieties and cohomology of Frobenius kernels

abstract:
  The paper studies the dimensions of irreducible components of commuting
varieties of (restricted) nilpotent $r$-tuples in a classical Lie algebra
$\mathfrak{g}$ defined over an algebraically closed field $k$. As applications,
we obtain some new results on the structure of the (even) cohomology ring of
Frobenius kernels $G_r$ for each $r\ge 1$, where $G$ is the simply connected,
simple algebraic group such that $\text{Lie}(G)=\mathfrak{g}$. Explicit
calculations for rank two groups are also presented.


title:
Quantum Information Engines with Many-Body States attaining optimal
  Extractable Work with Quantum Control

abstract:
  We introduce quantum information engines that extract work from quantum
states and a single thermal reservoir. They may operate under three general
conditions: i/ Unitarily Steered evolution (US); ii/ Irreversible
Thermalization (IT) and iii/ Isothermal Relaxation (IR), and hence are called
USITIR machines. They include novel engines without traditional feedback
control mechanisms, as well as versions which also include them. Explicit
constructions of USITIR engines are presented for one- and two-qubit states and
their maximum extractable work is computed, which is optimal. Optimality is
achieved when the notions of controllable thermalizability and density matrix
controllability are fullfilled. Then, many-body extensions of USITIR engines
are also analyzed and conditions for optimal work extraction are identified.
When they are not met, we measure their lack of optimality by means of newly
defined uncontrollable entropies, that are explicitly computed for some
selected examples. This includes cases of distinguishable and indistinguishable
particles.


title: High-redshift galaxies and low-mass stars

abstract:
  The sensitivity available to near-infrared surveys has recently allowed us to
probe the galaxy population at $z\approx 7$ and beyond. The existing {\em
Hubble} Wide Field Camera 3 (WFC3) and the Visible and Infrared Survey
Telescope for Astronomy (VISTA) Infrared Camera (VIRCam) instruments allow deep
surveys to be undertaken well beyond one micron - a capability that will be
further extended with the launch and commissioning of the {\em James Webb Space
Telescope (JWST)}. As new regions of parameter space in both colour and depth
are probed new challenges for distant galaxy surveys are identified. In this
paper we present an analysis of the colours of L and T dwarf stars in widely
used photometric systems. We also consider the implications of the
newly-identified Y dwarf population - stars that are still cooler and less
massive than T dwarfs for both the photometric selection and spectroscopic
follow-up of faint and distant galaxies. We highlight the dangers of working in
the low-signal-to-noise regime, and the potential contamination of existing and
future samples. We find that {\em Hubble}/WFC3 and VISTA/VIRCam $Y$-drop
selections targeting galaxies at $z\sim7.5$ are vulnerable to contamination
from T and Y class stars. Future observations using {\em JWST}, targeting the
$z\sim7$ galaxy population, are also likely to prove difficult without deep
medium-band observations. We demonstrate that single emission line detections
in typical low signal-to-noise spectroscopic observations may also be suspect,
due to the unusual spectral characteristics of the cool dwarf star population.


title: Density version of the Ramsey problem and the directed Ramsey problem

abstract:
  We discuss a variant of the Ramsey and the directed Ramsey problem. First,
consider a complete graph on $n$ vertices and a two-coloring of the edges such
that every edge is colored with at least one color and the number of bicolored
edges $|E_{RB}|$ is given. The aim is to find the maximal size $f$ of a
monochromatic clique which is guaranteed by such a coloring. Analogously, in
the second problem we consider semicomplete digraph on $n$ vertices such that
the number of bi-oriented edges $|E_{bi}|$ is given. The aim is to bound the
size $F$ of the maximal transitive subtournament that is guaranteed by such a
digraph.
  Applying probabilistic and analytic tools and constructive methods we show
that if $|E_{RB}|=|E_{bi}| = p{n\choose 2}$, ($p\in [0,1)$), then $f, F <
C_p\log(n)$ where $C_p$ only depend on $p$, while if $m={n \choose 2} -
|E_{RB}| <n^{3/2}$ then $f= \Theta (\frac{n^2}{m+n})$. The latter case is
strongly connected to Tur\'an-type extremal graph theory.


title:
Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type
  polynomials of real and complex variables

abstract:
  The first aim of this paper is to prove a Gr\"uss-Voronovskaya estimate for
Bernstein and for a class of Bernstein-Durrmeyer polynomials on $[0, 1]$. Then,
Gr\"uss and Gr\"uss-Voronovskaya estimates for their corresponding operators of
complex variable on compact disks are obtained. Finally, the results are
extended to Bernstein-Faber polynomials attached to compact sets in the complex
plane.


title:
From binaries to multiples I: Data on F and G dwarfs within 67 pc of the
  Sun

abstract:
  Data on the multiplicity of F- and G-type dwarf stars within 67pc of the Sun
are presented. This distance-limited sample based on the Hipparcos catalog
contains 4847 primary stars (targets) with 0.5<V-I_C<0.8 and is >90% complete.
There are 2196 known stellar pairs, some of them belong to 361 hierarchical
systems from triples to quintuples. Models of companion detection by radial
velocity, astrometric acceleration, direct resolution, and common proper motion
are developed. They serve to compute completeness for each target, using the
information on its coverage collected here. About 80% of companions to the
primary stars are detected, but the census of sub-systems in the secondary
components is only about 30%. Masses of binary components are estimated from
their absolute magnitudes or by other methods, the periods of wide pairs are
evaluated from their projected separations. A third of binaries with periods
shorter than ~100yr are spectroscopic and/or astrometric pairs with yet unknown
periods and mass ratios. These data are used in the accompanying Paper II to
derive unbiased statistics of hierarchical multiple systems.


title: Penrose process in charged axion-dilaton coupled black hole

abstract:
  Using the Newman-Janis method to construct the axion-dilaton coupled charged
rotating black holes, we show that the energy extraction from such black holes
via Penrose process takes place from the axion/Kalb-Ramond field energy
responsible for rendering the angular momentum to the black hole. Determining
the explicit form for the Kalb-Ramond field strength, which is argued to be
equivalent to spacetime torsion, we demonstrate that at the end of the energy
extraction process, the spacetime becomes torsion free with a spherically
symmetric non-rotating black hole remnant.


title:
From binaries to multiples II: hierarchical multiplicity of F and G
  dwarfs

abstract:
  Statistics of hierarchical multiplicity among solar-type dwarfs are studied
using the distance-limited sample of 4847 targets presented in the accompanying
Paper I. Known facts about binaries (multiplicity fraction 0.46, log-normal
period distribution with median period 100yr and logarithmic dispersion 2.4,
and nearly uniform mass-ratio distribution independent of the period) are
confirmed with a high statistical significance. The fraction of hierarchies
with three or more components is 0.13+-0.01, the fractions of targets with
n=1,2,3,... components are 54:33:8:4:1. Sub-systems in the secondary components
are almost as frequent as in the primary components, but in half of such cases
both inner pairs are present. The high frequency of those 2+2 hierarchies (4%)
suggests that both inner pairs were formed by a common process. The statistics
of hierarchies can be reproduced by simulations, assuming that the field is a
mixture coming from binary-rich and binary-poor environments. Periods of the
outer and inner binaries are selected recursively from the same log-normal
distribution, subject to the stability constraint and accounting for the
correlation between inner sub-systems. The simulator can be used to evaluate
the frequency of multiple systems with specified parameters. However, it does
not reproduce the observed excess of inner periods shorter than 10d, caused by
tidal evolution.


title: Minimal time for the bilinear control of Schr\"odinger equations

abstract:
  We consider a quantum particle in a potential V (x) (x in R^N) subject to a
(spatially homogeneous) time-dependent electric field E(t), which plays the
role of the control. Under generic assumptions on V, this system is
approximately controllable on the L2(R^N;C)-sphere, in su ffiently large times
T, as proved by Boscain, Caponigro, Chambrion and Sigalotti. In the present
article, we show that this approximate controllability result is false in small
time. As a consequence, the result by Boscain et al. is, in some sense, optimal
with respect to the control time T.


title:
Bidimensional nano-optomechanics and topological backaction in a
  non-conservative radiation force field

abstract:
  Optomechanics, which explores the fundamental coupling between light and
mechanical motion, has made important advances in both exploring and
manipulating macroscopic mechanical oscillators down to the quantum level.
However, dynamical effects related to the vectorial nature of the
optomechanical interaction remain to be investigated. Here we study a nanowire
with sub-wavelength dimensions strongly coupled to a tightly focused beam of
light, enabling ultrasensitive readout of the nanoresonators dynamics. We
experimentally determine the vectorial structure of the optomechanical
interaction and demonstrate that bidimensional dynamical backaction governs the
nanowire dynamics. Moreover, the non-conservative topology of the
optomechanical interaction is responsible for a novel canonical signature of
strong coupling between the nanoresonator mechanical modes, leading to a
topological instability. These results have a universal character and
illustrate the increased sensitivity of nanomechanical devices towards
topologically varying interactions, opening fundamental perspectives in
nanomechanics, optomechanics, ultrasensitive scanning probe force microscopy
and nano-optics.


title:
A new view on migration processes between SIR centra: an account of the
  different dynamics of host and guest

abstract:
  We study an epidemic propagation between $M$ population centra. The novelty
of the model is in analyzing the migration of host (remaining in the same
centre) and guest (migrated to another centre) populations separately. Even in
the simplest case $M=2$, this modification is justified because it gives a more
realistic description of migration processes. This becomes evident in a purely
migration model with vanishing epidemic parameters. It is important to account
for a certain number of guest susceptible present in non-host cenrta because
these susceptible may be infected and return to the host node as infectives.
The flux of such infectives is not negligible and is comparable with the flux
of host infectives migrated to other centra, because the return rate of a guest
individual will, by nature, tend to be high. It is shown that taking account of
both fluxes of infectives noticeably increases the speed of epidemic spread in
a 1D lattice of identical SIR centra.


title: Reconstruction of algebraic-exponential data from moments

abstract:
  Let $G$ be a bounded open subset of Euclidean space with real algebraic
boundary $\Gamma$. Under the assumption that the degree $d$ of $\Gamma$ is
given, and the power moments of the Lebesgue measure on $G$ are known up to
order $3d$, we describe an algorithmic procedure for obtaining a polynomial
vanishing on $\Gamma$. The particular case of semi-algebraic sets defined by a
single polynomial inequality raises an intriguing question related to the
finite determinateness of the full moment sequence. The more general case of a
measure with density equal to the exponential of a polynomial is treated in
parallel. Our approach relies on Stokes theorem and simple Hankel-type matrix
identities.


title:
Perturbation Analysis and Randomized Algorithms for Large-Scale Total
  Least Squares Problems

abstract:
  In this paper, we present perturbation analysis and randomized algorithms for
the total least squares (TLS) problems. We derive the perturbation bound and
check its sharpness by numerical experiments. Motivated by the recently popular
probabilistic algorithms for low-rank approximations, we develop randomized
algorithms for the TLS and the truncated total least squares (TTLS) solutions
of large-scale discrete ill-posed problems, which can greatly reduce the
computational time and still keep good accuracy.


title:
Internal controllability of the Korteweg-de Vries equation on a bounded
  domain

abstract:
  This paper is concerned with the control properties of the Korteweg-de Vries
(KdV) equation posed on a bounded interval with a distributed control. When the
control region is an arbitrary open subdomain, we prove the null
controllability of the KdV equation by means of a new Carleman inequality. As a
consequence, we obtain a regional controllability result, the state function
being controlled on the left part of the complement of the control region.
Finally, when the control region is a neighborhood of the right endpoint, an
exact controllability result in a weighted L2 space is also established.


title: Coherent State Wave Functions on the Torus

abstract:
  In the study of the quantum Hall effect there are still many unresolved
problems. One of these is how to generate representative wave functions for
ground states on other geometries than the planar and spherical. We study one
such geometry, the toroidal one, where the periodic boundary conditions must be
properly taken into account.
  As a tool to study the torus we investigate the properties of various types
of localized states, similar to the coherent states of the harmonic oscillator,
which are maximally localized in phase space. We consider two alternative
definitions of localized states in the lowest Landau level (LLL) on a torus.
One is the projection of the coordinate delta function onto the LLL. Another
definition, proposed by Haldane & Rezayi, is to consider the set of functions
which have all their zeros at a single point. Since all LLL wave functions on a
torus, are uniquely defined by the position of their zeros, this defines a set
of functions that are expected to be localized around the point maximally far
away from the zeros.
  These two families of localized states have many properties in common with
the coherent states on the plane and on the sphere, e.g. a simple resolution of
unity and a simple self-reproducing kernel. However, we show that only the
projected delta function is maximally localized.
  We find that because of modular covariance, there are severe restrictions on
which wave functions that are acceptable on the torus. As a result, we can
write down a trial wave function for the $\nu=\frac{2}{5}$ state, that respects
the modular covariance, and has good numerical overlap with the exact coulomb
ground state.
  Finally we present preliminary calculations of the antisymmetric component of
the viscosity tensor for the proposed, modular covariant, $\nu=\frac{2}{5}$
state, and find that it is in agreement with theoretical predictions.


title:
On the Topological Complexity of omega-Languages of Non-Deterministic
  Petri Nets

abstract:
  We show that there are $\Sigma_3^0$-complete languages of infinite words
accepted by non-deterministic Petri nets with B\"uchi acceptance condition, or
equivalently by B\"uchi blind counter automata. This shows that omega-languages
accepted by non-deterministic Petri nets are topologically more complex than
those accepted by deterministic Petri nets.


title: Charge asymmetry of top quark-antiquark pairs

abstract:
  In this note we present the charge asymmetry measurements of top
quark-antiquark pairs at hadron colliders. We will focus on the dilepton
channel at ATLAS (LHC) and D0 (Tevatron).


title:
Spectra of Radiation Emitted from Open-Ended and Closed Carbon Nanotubes
  Exposed to Microwave Fields

abstract:
  We performed experiments in which both open-ended and closed carbon nanotubes
were exposed to 2.46 GHz microwaves over the course of several irradiation and
cooling cycles at a pressure of ~10-6 torr. The spectra of the radiation
emitted from the nanotubes indicate that the intensity of the emitted radiation
with wavelengths of 650-1000 nm increased during the irradiation cycles.
However, the intensity of the radiation emitted from untreated nanotubes
increased substantially more than the intensity of the radiation emitted from
nanotubes that had been chemically treated in order to open nanotube ends. As
open-ended nanotubes have a lower work function than closed nanotubes, and as
nanotube ends are known to open as they are heated, our results suggest that
the mechanism responsible for the emission of infrared, visible, and
ultra-violet radiation from carbon nanotubes exposed to microwaves is field
emission-induced luminescence.


title: Syzygies and logarithmic vector fields along plane curves

abstract:
  We investigate the relations between the syzygies of the Jacobian ideal of
the defining equation for a plane curve $C$ and the stability of the sheaf of
logarithmic vector fields along $C$, the freeness of the divisor $C$ and the
Torelli properties of $C$ (in the sense of Dolgachev-Kapranov).
  We show in particular that curves with a small number of nodes and cusps are
Torelli in this sense.


title: On the generic higher-derivative N=2, d=3 gauge theory

abstract:
  We formulate a generic $\mathcal{N}=2$ three-dimensional superfield
higher-derivative gauge theory coupled to the matter, which, in certain cases
reduces to the $\mathcal{N}=2$ three-dimensional scalar super-QED, or
supersymmetric Maxwell-Chern-Simons or Chern-Simons theories with matter. For
this theory, we explicitly calculate the one-loop effective potential.


title: Zero-Reachability in Probabilistic Multi-Counter Automata

abstract:
  We study the qualitative and quantitative zero-reachability problem in
probabilistic multi-counter systems. We identify the undecidable variants of
the problems, and then we concentrate on the remaining two cases. In the first
case, when we are interested in the probability of all runs that visit zero in
some counter, we show that the qualitative zero-reachability is decidable in
time which is polynomial in the size of a given pMC and doubly exponential in
the number of counters. Further, we show that the probability of all
zero-reaching runs can be effectively approximated up to an arbitrarily small
given error epsilon > 0 in time which is polynomial in log(epsilon),
exponential in the size of a given pMC, and doubly exponential in the number of
counters. In the second case, we are interested in the probability of all runs
that visit zero in some counter different from the last counter. Here we show
that the qualitative zero-reachability is decidable and SquareRootSum-hard, and
the probability of all zero-reaching runs can be effectively approximated up to
an arbitrarily small given error epsilon > 0 (these result applies to pMC
satisfying a suitable technical condition that can be verified in polynomial
time). The proof techniques invented in the second case allow to construct
counterexamples for some classical results about ergodicity in stochastic Petri
nets.


title: On the Baum-Connes conjecture for Gromov monster groups

abstract:
  We present a geometric approach to the Baum-Connes conjecture with
coefficients for Gromov monster groups via a theorem of Khoskham and Skandalis.
Secondly, we use recent results concerning the a-T-menability at infinity of
large girth expanders to exhibit a family of coefficients for a Gromov monster
group for which the Baum-Connes conjecture is an isomorphism.


title: 3D Cosmic Shear: Cosmology from CFHTLenS

abstract:
  This paper presents the first application of 3D cosmic shear to a wide-field
weak lensing survey. 3D cosmic shear is a technique that analyses weak lensing
in three dimensions using a spherical harmonic approach, and does not bin data
in the redshift direction. This is applied to CFHTLenS, a 154 square degree
imaging survey with a median redshift of 0.7 and an effective number density of
11 galaxies per square arcminute usable for weak lensing. To account for survey
masks we apply a 3D pseudo-Cl approach on weak lensing data, and to avoid
uncertainties in the highly non-linear regime, we separately analyse radial
wave numbers k<=1.5h/Mpc and k<=5.0h/Mpc, and angular wavenumbers l~400-5000.
We show how one can recover 2D and tomographic power spectra from the full 3D
cosmic shear power spectra and present a measurement of the 2D cosmic shear
power spectrum, and measurements of a set of 2-bin and 6-bin cosmic shear
tomographic power spectra; in doing so we find that using the 3D power in the
calculation of such 2D and tomographic power spectra from data naturally
accounts for a minimum scale in the matter power spectrum. We use 3D cosmic
shear to constrain cosmologies with parameters OmegaM, OmegaB, sigma8, h, ns,
w0, wa. For a non-evolving dark energy equation of state, and assuming a flat
cosmology, lensing combined with WMAP7 results in h=0.78+/-0.12,
OmegaM=0.252+/-0.079, sigma8=0.88+/-0.23 and w=-1.16+/-0.38 using only scales
k<=1.5h/Mpc. We also present results of lensing combined with first year Planck
results, where we find no tension with the results from this analysis, but we
also find no significant improvement over the Planck results alone. We find
evidence of a suppression of power compared to LCDM on small scales 1.5 < k <
5.0 h/Mpc in the lensing data, which is consistent with predictions of the
effect of baryonic feedback on the matter power spectrum.


title:
Representations of the small quasi-quantum group
  ${Q}\mathbf{u}_{q}(\mathfrak{sl}_{2})$

abstract:
  The quasi-Frobenius-Lusztig kernel ${Q}\mathbf{u}_{q}(\mathfrak{sl}_{2})$
associated with $\mathfrak{sl}_{2}$ has been constructed in \cite{Liu}. In this
paper we study the representations of this small quasi-quantum group. We give a
complete list of non-isomorphic indecomposables and the tensor product
decomposition rules for simples and projectives. A description of the
Grothendieck ring is provided.


title:
Integrable evolution Hamiltonian equations of the third order with the
  Hamiltonian operator $\boldsymbol D_x$

abstract:
  All non-equivalent integrable evolution equations of third order of the form
$u_t=D_x\frac{\delta H}{\delta u}$ are found.


title:
Leibniz bialgebras, classical Yang-Baxter equations and dynamical
  systems

abstract:
  This work is intended as an attempt to extend the notion of bialgebra for Lie
algebras to Leibniz algebras and also, the correspondence between the Leibniz
bialgebras and its dual is investigated. Moreover, the coboundary Leibniz
bialgebras, the classical $r$-matrices and Yang-Baxter equations related to the
Leibniz algebras are defined, and some examples are given. Finally, a method
for construction of a dynamical system on a Leibniz manifold via Leibniz
bialgebra is presented.


title:
Delayed Channel State Information: Incremental Redundancy with Backtrack
  Retransmission

abstract:
  In many practical wireless systems, the Signal-to-Interference-and-Noise
Ratio (SINR) that is applicable to a certain transmission, referred to as
Channel State Information (CSI), can only be learned after the transmission has
taken place and is thereby outdated (delayed). For example, this occurs under
intermittent interference. We devise the backward retransmission (BRQ) scheme,
which uses the delayed CSIT to send the optimal amount of incremental
redundancy (IR). BRQ uses fixed-length packets, fixed-rate R transmission
codebook, and operates as Markov block coding, where the correlation between
the adjacent packets depends on the amount of IR parity bits. When the delayed
CSIT is full and R grows asymptotically, the average throughput of BRQ becomes
equal to the value achieved with prior CSIT and a fixed-power transmitter;
however, at the expense of increased delay. The second contribution is a method
for employing BRQ when a limited number of feedback bits is available to report
the delayed CSIT. The main novelty is the idea to assemble multiple feedback
opportunities and report multiple SINRs through vector quantization. This
challenges the conventional wisdom in ARQ protocols where feedback bits are
used to only quantize the CSIT of the immediate previous transmission.


title:
A motivic formula for the L-function of an abelian variety over a
  function field

abstract:
  Let $A$ be an abelian variety over the function field of a smooth projective
curve $C$ over an algebraically closed field $k$. We compute the $l$-adic
cohomology groups of $C$ with coefficients in the locally constant sheaf
associated to $H^1(\bar A,\mathbf{Q}_l)$ in terms of arithmetico-geometric
invariants of $A$. We apply this, when $k$ is the algebraic closure of a finite
field, to a motivic computation of the $L$-function of $A$.


title: AM with Multiple Merlins

abstract:
  We introduce and study a new model of interactive proofs: AM(k), or
Arthur-Merlin with k non-communicating Merlins. Unlike with the better-known
MIP, here the assumption is that each Merlin receives an independent random
challenge from Arthur. One motivation for this model (which we explore in
detail) comes from the close analogies between it and the quantum complexity
class QMA(k), but the AM(k) model is also natural in its own right.
  We illustrate the power of multiple Merlins by giving an AM(2) protocol for
3SAT, in which the Merlins' challenges and responses consist of only
n^{1/2+o(1)} bits each. Our protocol has the consequence that, assuming the
Exponential Time Hypothesis (ETH), any algorithm for approximating a dense CSP
with a polynomial-size alphabet must take n^{(log n)^{1-o(1)}} time. Algorithms
nearly matching this lower bound are known, but their running times had never
been previously explained. Brandao and Harrow have also recently used our 3SAT
protocol to show quasipolynomial hardness for approximating the values of
certain entangled games.
  In the other direction, we give a simple quasipolynomial-time approximation
algorithm for free games, and use it to prove that, assuming the ETH, our 3SAT
protocol is essentially optimal. More generally, we show that multiple Merlins
never provide more than a polynomial advantage over one: that is, AM(k)=AM for
all k=poly(n). The key to this result is a subsampling theorem for free games,
which follows from powerful results by Alon et al. and Barak et al. on
subsampling dense CSPs, and which says that the value of any free game can be
closely approximated by the value of a logarithmic-sized random subgame.


title:
A New Approach to Inference in Multi-Survey Studies with Unknown
  Population Size

abstract:
  We investigate a Poisson sampling design in the presence of unknown selection
probabilities when applied to a population of unknown size for multiple
sampling occasions. The fixed-population model is adopted and extended upon for
inference. The complete minimal sufficient statistic is derived for the
sampling model parameters and fixed-population parameter vector. The
Rao-Blackwell version of population quantity estimators is detailed. An
application is applied to an emprical population. The extended inferential
framework is found to have much potential and utility for empirical studies.


title:
On the Continuity of Characteristic Functionals and Sparse Stochastic
  Modeling

abstract:
  The characteristic functional is the infinite-dimensional generalization of
the Fourier transform for measures on function spaces. It characterizes the
statistical law of the associated stochastic process in the same way as a
characteristic function specifies the probability distribution of its
corresponding random variable. Our goal in this work is to lay the foundations
of the innovation model, a (possibly) non-Gaussian probabilistic model for
sparse signals. This is achieved by using the characteristic functional to
specify sparse stochastic processes that are defined as linear transformations
of general continuous-domain white noises (also called innovation processes).
We prove the existence of a broad class of sparse processes by using the
Minlos-Bochner theorem. This requires a careful study of the regularity
properties, especially the boundedness in Lp-spaces, of the characteristic
functional of the innovations. We are especially interested in the functionals
that are only defined for p<1 since they appear to be associated with the
sparser kind of processes. Finally, we apply our main theorem of existence to
two specific subclasses of processes with specific invariance properties.


title: Oxygen vacancy and EC - 1 eV electron trap in ZnO

abstract:
  Fourier transform deep level transient spectroscopy has been performed
between 80 K and 550 K in five n-type ZnO samples grown by different
techniques. The capture cross section and ionization energy of four electron
traps have been deduced from Arrhenius diagrams. A trap 1 eV below the
conduction band edge is systematically observed in the five samples with a
large apparent capture cross section for electrons (1.6 $\pm$ 0.4 x 10 - 13
cm2) indicating a donor character. The assignment of this deep level to the
oxygen vacancy is discussed on the basis of available theoretical predictions.


title: Crossed product by actions of finite groups with the Rokhlin Property

abstract:
  We introduce and study a Rokhlin-type property for actions of finite groups
on (not necessarily unital) C*-algebras. We show that the corresponding crossed
product C*-algebras can be locally approximated by C*-algebras that are stably
isomorphic to closed two-sided ideals of the given algebra. We then use this
result to prove that several classes of C*-algebras are closed under crossed
products by finite group actions with this Rokhlin property.


title:
Computing the Kullback-Leibler Divergence between two Generalized Gamma
  Distributions

abstract:
  We derive a closed form solution for the Kullback-Leibler divergence between
two generalized gamma distributions. These notes are meant as a reference and
provide a guided tour towards a result of practical interest that is rarely
explicated in the literature.


title: Integro-differential harmonic maps into spheres

abstract:
  We introduce (integro-differential) harmonic maps into spheres, which are
defined as critical points of the Besov-Slobodeckij energy
$\int\limits_{\Omega}\int\limits_{\Omega}
\frac{|v(x)-v(y)|^{p_s}}{|x-y|^{n+sp_s}}\ dx\ dy$. For $p_s = 2$ these are the
classical fractional harmonic maps first considered by Da Lio and Riviere. For
$p_s \neq 2$ this is a new energy which has degenerate, non-local
Euler-Lagrange equations. For the critical case, $p_s = n/s$, we show Holder
continuity of these maps.