title: Charge transfer in the cold Yb$^+$ + Rb collisions

abstract:
  Charge-transfer cold Yb$^+$ + Rb collision dynamics is investigated
theoretically using high-level {\it ab initio} potential energy curves, dipole
moment functions and nonadiabatic coupling matrix elements. Within the
scalar-relativistic approximation, the radiative transitions from the entrance
$A^1\Sigma^+$ to the ground $X^1\Sigma^+$ state are found to be the only
efficient charge-transfer pathway. The spin-orbit coupling does not open other
efficient pathways, but alters the potential energy curves and the transition
dipole moment for the $A-X$ pair of states. The radiative, as well as the
nonradiative, charge-transfer cross sections calculated within the $10^{-3}-10$
cm$^{-1}$ collision energy range exhibit all features of the Langevin ion-atom
collision regime, including a rich structure associated with centrifugal
barrier tunneling (orbiting) resonances. Theoretical rate coefficients for two
Yb isotopes agree well with those measured by immersing Yb$^+$ ion in an
ultracold Rb ensemble in a hybrid trap. Possible origins of discrepancy in the
product distributions and relations to previously studied similar processes are
discussed.


title:
Test of the hadronic interaction models at around *10 TeV with Tibet EAS
  core data

abstract:
  A hybrid experiment has been started by AS{\gamma} collaboration at Tibet,
China, since May 2009, that consists of a burst-detector-grid (YAC, Yangbajing
Air shower Core array) and the Tibet air-shower array (Tibet-III). The first
step of YAC, called YAC-I, contains 16 detector units and observes high energy
electromagnetic particles in air-shower cores within several meters from the
shower axis, and Tibet-III array measures the total energy and the arrival
direction of air showers. YAC-I is used to check hadronic interaction models
currently used for air-shower simulations such as QGSJET, SIBYLL, EPOS etc.
through the multi-parameter measurement in air-shower cores. In this paper, we
used a data set collected from May 1st 2009 through February 23rd 2010 by the
YAC-I. The effective live time used for the present analysis is 169.65 days.
The preliminary results of the interaction model checking at *10 TeV energy
region is reported in this paper.


title:
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS
  approximation

abstract:
  The Meshless Local Petrov{Galerkin (MLPG) method is one of the popular
meshless methods that has been used very successfully to solve several types of
boundary value problems since the late nineties. In this paper, using a
generalized moving least squares (GMLS) approximation, a new direct MLPG
technique, called DMLPG, is presented. Following the principle of meshless
methods to express everything "entirely in terms of nodes", the generalized MLS
recovers test functionals directly from values at nodes, without any detour via
shape functions. This leads to a cheaper and even more accurate scheme. In
particular, the complete absence of shape functions allows numerical
integrations in the weak forms of the problem to be done over low{degree
polynomials instead of complicated shape functions. Hence, the standard MLS
shape function subroutines are not called at all. Numerical examples illustrate
the superiority of the new technique over the classical MLPG. On the
theoretical side, this paper discusses stability and convergence for the new
discretizations that replace those of the standard MLPG. However, it does not
treat stability, convergence, or error estimation for the MLPG as a whole. This
should be taken from the literature on MLPG.


title:
Optimal approximate transpose map via quantum designs and its
  applications to entanglement detection

abstract:
  We show that quantum designs characterize the general structure of the
optimal approximation of the transpose map on quantum states. Based on this
characterization, we propose an implementation of the approximate transpose map
by a measurement-and-preparation scheme. The results show that
state-manipulation in quantum two-designs suffices for transpose-based quantu3
information applications. In particular, we present how these results can be
applied to the framework of detecting multipartite entangled states, for
instance, when local measurements or interferometry-based experimental
approaches are applied.


title: A Kaluza-Klein Subttractor

abstract:
  We generalize the results of arXiv:1212.1875 and arXiv:1212.6919 on
attraction basins and their boundaries to the case of a specific class of
rotating black holes, namely the ergo-free branch of extremal black holes in
Kaluza-Klein theory. We find that exact solutions that span the attraction
basin can be found even in the rotating case by appealing to certain symmetries
of the equations of motion. They are characterized by two asymptotic parameters
that generalize those of the non-rotating case, and the boundaries of the basin
are spinning versions of the (generalized) subttractor geometry. We also give
examples to illustrate that the shape of the attraction basin can drastically
change depending on the theory.


title:
Oort Cloud and Scattered Disc formation during a late dynamical
  instability in the Solar System

abstract:
  One of the outstanding problems of the dynamical evolution of the outer solar
system concerns the observed population ratio between the Oort Cloud (OC) and
the Scattered Disc (SD): observations suggest that this ratio lies between 100
and 1000 but simulations that produce these two reservoirs simultaneously
consistently yield a value of the order of 10. Here we stress that the
populations in the OC and SD are inferred from the observed fluxes of new Long
Period Comets (LPCs) and Jupiter-family comets (JFCs), brighter than some
reference total magnitude. However, the population ratio estimated in the
simulations of formation of the SD and OC refers to objects bigger than a given
size. There are multiple indications that LPCs are intrinsically brighter than
JFCs, i.e. an LPC is smaller than a JFC with the same total absolute magnitude.
When taking this into account we revise the SD/JFC population ratio from our
simulations relative to Duncan and Levison (1997), and then deduce from the
observations that the size-limited population ratio between the OC and the SD
is 44 (-34)(+54). From simulations we obtain 12 +- 1 but the agreement cannot
be rejected by the null hypothesis.


title:
Transitive cylinder flows whose set of discrete points is of full
  Hausdorff dimension

abstract:
  For each irrational $\alpha\in[0,1)$ we construct a continuous function $f\:
[0,1)\to \R$ such that the corresponding cylindrical transformation
$[0,1)\times\R \ni (x,t) \mapsto (x+\alpha, t+ f(x)) \in [0,1)\times\R$ is
transitive and the Hausdorff dimension of the set of points whose orbits are
discrete is 2. Such cylindrical transformations are shown to display a certain
chaotic behaviour of Devaney-like type.


title: Ergodic Interference Alignment with Delayed Feedback

abstract:
  We propose new ergodic interference alignment techniques for $K$-user
interference channels with delayed feedback. Two delayed feedback scenarios are
considered -- delayed channel information at transmitter (CIT) and delayed
output feedback. It is proved that the proposed techniques achieve total
$2K/(K+2)$ DoF which is higher than that by the retrospective interference
alignment for the delayed feedback scenarios.


title: On the maximum induced density of directed stars and related problems

abstract:
  Let k>=3 be an integer, we prove that the maximum induced density of the
k-vertex directed star in a directed graph is attained by an iterated blow-up
construction. This confirms a conjecture by Falgas-Ravry and Vaughan, who
proved this for k=3, 4. This question provides the first known instance of
density problem for which one can prove extremality of an iterated blow-up
construction. We also study the inducibility of complete bipartite digraphs and
discuss other related problems.


title:
A new approach to diffeomorphism invariant algebras of generalized
  functions

abstract:
  We develop the diffeomorphism invariant Colombeau-type algebra of nonlinear
generalized functions in a modern and compact way. Using a unifying formalism
for the local setting and on manifolds, the construction becomes simpler and
more accessible than previously in the literature.


title: Analyticity of the total ancestor potential in singularity theory

abstract:
  K. Saito's theory of primitive forms gives a natural semi-simple Frobenius
manifold structure on the space of miniversal deformations of an isolated
singularity. On the other hand, Givental introduced the notion of a total
ancestor potential for every semi-simple point of a Frobenius manifold and
conjectured that in the settings of singularity theory his definition extends
analytically to non-semisimple points as well. In this paper we prove
Givental's conjecture by using the Eynard--Orantin recursion.


title:
A continuous dependence result for a nonstandard system of phase field
  equations

abstract:
  The present note deals with a nonstandard systems of differential equations
describing a two-species phase segregation. This system naturally arises in the
asymptotic analysis carried out recently by the same authors, as the diffusion
coefficient in the equation governing the evolution of the order parameter
tends to zero. In particular, an existence result has been proved for the limit
system in a very general framework. On the contrary, uniqueness was shown by
assuming a constant mobility coefficient. Here, we generalize this result and
prove a continuous dependence property in the case that the mobility
coefficient suitably depends on the chemical potential.


title:
A history of the gamma-ray burst flux at the Earth from Galactic
  globular clusters

abstract:
  Nearby gamma-ray bursts (GRBs) are likely to have represented a significant
threat to life on the Earth. Recent observations suggest that a significant
source of such bursts is compact binary mergers in globular clusters. This link
between globular clusters and GRBs offers the possibility to find time
intervals in the past with higher probabilities of a nearby burst, by tracing
globular cluster orbits back in time. Here we show that the expected flux from
such bursts is not flat over the past 550 Myr but rather exhibits three broad
peaks, at 70, 180 and 340 Myr ago. The main source for nearby GRBs for all
three time intervals is the globular cluster 47 Tuc, a consequence of its large
mass and high stellar encounter rate, as well as the fact that it is one of the
globular clusters which comes quite close to the Sun. Mass extinction events
indeed coincide with all three time intervals found in this study, although a
chance coincidence is quite likely. Nevertheless, the identified time intervals
can be used as a guide to search for specific signatures of GRBs in the
geological record around these times.


title:
$\lambda$-symmetry criteria for linearization of second order ODEs via
  point transformations

abstract:
  An alternative proof of Lie's approach for linearization of scalar second
order ODEs is derived using the relationship between $\lambda$-symmetries and
first integrals. This relation further leads to a new $\lambda$-symmetry
linearization criteria for second order ODEs which provides a new approach for
constructing the linearization transformations with lower complexity. The
effectiveness of the approach is illustrated by obtaining the local
linearization transformations for the linearizable nonlinear ODEs of the form
$y''+F_1(x,y)y'+F(x,y)=0$. Examples of linearizing nonlinear ODEs which are
quadratic or cubic in the first derivative are also presented.


title:
Regularity of the solution to a nonstandard system of phase field
  equations

abstract:
  A nonstandard system of differential equations describing two-species phase
segregation is considered. This system naturally arises in the asymptotic
analysis recently done by Colli, Gilardi, Krejci and Sprekels as the diffusion
coefficient in the equation governing the evolution of the order parameter
tends to zero. In particular, a well-posedness result is proved for the limit
system. This paper deals with the above limit problem in a less general but
still very significant framework and provides a very simple proof of further
regularity for the solution. As a byproduct, a simple uniqueness proof is given
as well.


title: Study of $J/\psi \rightarrow \omega p \bar{p}$ at BESIII

abstract:
  The decay $J/\psi \rightarrow \omega p \bar{p}$ has been studied, using
$225.3\times 10^{6}$ $J/\psi$ events accumulated at BESIII. No significant
enhancement near the $p\bar{p}$ invariant-mass threshold (denoted as
$X(p\bar{p})$) is observed. The upper limit of the branching fraction
$\mathcal{B}(J/\psi \rightarrow \omega X(p\bar{p}) \rightarrow \omega p
\bar{p})$ is determined to be $3.9\times10^{-6}$ at the 95% confidence level.
The branching fraction of $J/\psi \rightarrow \omega p \bar{p}$ is measured to
be $\mathcal{B}(J/\psi \rightarrow \omega p \bar{p}) =(9.0 \pm 0.2\
(\text{stat.})\pm 0.9\ (\text{syst.})) \times 10^{-4}$.


title: Functional redundancy in the NF-\kappa B signalling pathway

abstract:
  The ability to represent intracellular biochemical dynamics via deterministic
and stochastic modelling is one of the crucial components to move biological
sciences in the observe-predict-control-design knowledge ladder. Compared to
the engineering or physics problems, dynamical models in quantitative biology
typically dependent on a relatively large number of parameters. Therefore, the
relationship between model parameters and dynamics is often prohibitively
difficult to determine. We developed a method to depict the input-output
relationship for multi-parametric stochastic and deterministic models via
information-theoretic quantification of similarity between model parameters and
modules. Identification of most information-theoretically orthogonal biological
components, provided mathematical language to precisely communicate and
visualise compensation like phenomena such as biological robustness, sloppiness
and statistical non-identifiability. A comprehensive analysis of the
multi-parameter NF-$\kappa$B signalling pathway demonstrates that the
information-theoretic similarity reflects a topological structure of the
network. Examination of the currently available experimental data on this
system reveals the number of identifiable parameters and suggests informative
experimental protocols.


title: Adaptive Transmission Techniques for Mobile Satellite Links

abstract:
  Adapting the transmission rate in an LMS channel is a challenging task
because of the relatively fast time variations, of the long delays involved,
and of the difficulty in mapping the parameters of a time-varying channel into
communication performance. In this paper, we propose two strategies for dealing
with these impairments, namely, multi-layer coding (MLC) in the forward link,
and open-loop adaptation in the return link. Both strategies rely on
physical-layer abstraction tools for predicting the link performance. We will
show that, in both cases, it is possible to increase the average spectral
efficiency while at the same time keeping the outage probability under a given
threshold. To do so, the forward link strategy will rely on introducing some
latency in the data stream by using retransmissions. The return link, on the
other hand, will rely on a statistical characterization of a physical-layer
abstraction measure.


title:
Crystalline symmetry and the melt-growth kinetics of solid-liquid
  interface

abstract:
  One of the important factors governing the growth morphology of materials is
the interface kinetic coefficient \mu, which is the proportionality constant
between the velocity of solid-liquid interface and undercooling. We employ
Ginzburg-Landau (GL) free energy functional to derive an analytical expression
of kinetic coefficients. The anisotropy of kinetic coefficients naturally arise
from the broken symmetry at the solid-liquid interface for various crystalline
orientations. The analytical expression of kinetic coefficients is compared to
Mikheev-Chernov theory [J. Cryst. Growth 112, 591 (1991)] derived from
hydrodynamic equations. In addition, we use equilibrium density wave profiles
to evaluate kinetic coefficients and compare them with that from MD
simulations. Our results are in good agreement with Mikheev-Chernov theory and
MD simulations and shed lights on a possible origin of anisotropy of
interfacial kinetics.


title: Melting of the orbital order in LaMnO3 probed by NMR

abstract:
  The Mn spin correlations were studied near the O'-O phase transition at T{JT}
= 750 K, up to 950 K with 17O and 139La NMR in a stoichiometric LaMnO3
crystalline sample. The measured local hyperfine fields originate from the
electron density transfered from the eg- and t2g-orbitals to the 2s(O) and
6s(La) orbits, respectively. By probing the oxygen nuclei, we show that the
correlations of the Mn spins are ferromagnetic in the ab-plane and robust up to
T{JT} whereas along the c-axis, they are antiferromagnetic and start to melt
below T{JT}, at about 550 K. Above T{JT} the ferromagnetic Mn-Mn exchange
interaction is found isotropic. The room temperature orbital mixing angle,
{\phi}nmr = 109+-1.5{\deg}, of the eg ground state is close to the reported
value which was deduced from structural data on Jahn-Teller distorted MnO6
octahedra. For T > T{JT} LaMnO3 can be described in terms of non-polarized
eg-orbitals since both eg-orbitals are equally occupied.


title: Cluster and reentrant anomalies of nearly Gaussian core particles

abstract:
  We study through integral equation theory and numerical simulations the
structure and dynamics of fluids composed of ultrasoft, nearly Gaussian
particles. Namely, we explore the fluid phase diagram of a model in which
particles interact via the generalized exponential potential u(r)=\epsilon
exp[-(r/\sigma)^n], with a softness exponent n slightly larger than 2. In
addition to the well-known anomaly associated to reentrant melting, the
structure and dynamics of the fluid display two additional anomalies, which are
visible in the isothermal variation of the structure factor and diffusivity.
These features are correlated to the appearance of dimers in the fluid phase
and to the subsequent modification of the cluster structure upon compression.
We corroborate these results through an analysis of the local minima of the
potential energy surface, in which clusters appear as much tighter
conglomerates of particles. We find that reentrant melting and clustering
coexist for softness exponents ranging from 2^+ up to values relevant for the
description of amphiphilic dendrimers, i.e., n=3.


title:
A note on Santal\'{o} inequality for the polarity transform and its
  reverse

abstract:
  We prove a Santal\'{o} and a reverse Santal\'{o} inequality for the polarity
transform, which was recently re-discovered by Artstein-Avidan and Milman, in
the class consisting of (even) log-concave functions attaining their maximal
value 1 at the origin, also called geometric log-cancave functions. The bounds
are sharp up to the optimal universal constants.


title: The Cartan-Hadamard conjecture and The Little Prince

abstract:
  The generalized Cartan-Hadamard conjecture says that if $\Omega$ is a domain
with fixed volume in a complete, simply connected Riemannian $n$-manifold $M$
with sectional curvature $K \le \kappa \le 0$, then the boundary of $\Omega$
has the least possible boundary volume when $\Omega$ is a round $n$-ball with
constant curvature $K=\kappa$. The case $n=2$ and $\kappa=0$ is an old result
of Weil. We give a unified proof of this conjecture in dimensions $n=2$ and
$n=4$ when $\kappa=0$, and a special case of the conjecture for $\kappa
\textless{} 0$ and a version for $\kappa \textgreater{} 0$. Our argument uses a
new interpretation, based on optical transport, optimal transport, and linear
programming, of Croke's proof for $n=4$ and $\kappa=0$. The generalization to
$n=4$ and $\kappa \ne 0$ is a new result. As Croke implicitly did, we relax the
curvature condition $K \le \kappa$ to a weaker candle condition
$Candle(\kappa)$ or $LCD(\kappa)$.We also find counterexamples to a na\"ive
version of the Cartan-Hadamard conjecture: For every $\varepsilon
\textgreater{} 0$, there is a Riemannian 3-ball $\Omega$ with
$(1-\varepsilon)$-pinched negative curvature, and with boundary volume bounded
by a function of $\varepsilon$ and with arbitrarily large volume.We begin with
a pointwise isoperimetric problem called "the problem of the Little Prince."
Its proof becomes part of the more general method.


title: Absence of absolutely continuous spectrum for random scattering zippers

abstract:
  A scattering zipper is a system obtained by concatenation of scattering
events with equal even number of incoming and out going channels. The
associated scattering zipper operator is the unitary equivalent of Jacobi
matrices with matrix entries. For infinite identical events and random phases,
Lyapunov exponents positivity is proved and yields to the absence of absolutely
continuous spectrum.


title:
Biomimetic fabrication and tunable wetting properties of
  three-dimensional hierarchical ZnO structures by combining soft lithography
  templated with lotus leaf and hydrothermal treatments

abstract:
  Three-dimensional hierarchical ZnO films with lotus-leaf-like micro/nano
structures were successfully fabricated via a biomimetic route combining
sol-gel technique, soft lithography and hydrothermal treatments. PDMS mold
replicated from a fresh lotus leaf was used to imprint microscale pillar
structures directly into a ZnO sol film. Hierarchical ZnO micro/nano structures
were subsequently fabricated by a low-temperature hydrothermal growth of
secondary ZnO nanorod arrays on the micro-structured ZnO film. The morphology
and size of ZnO hierarchical micro/nano structures can be easily controlled by
adjusting the hydrothermal reaction time. Wettability of hierarchical ZnO thin
films was found to convert from superhydrophilicity to hydrophobicity after a
low-surface-energy fluoroalkylsilane modification. Improved wetting properties
from hydrophobic to superhydrophobic can be tuned by increasing the growth of
ZnO nanorods structures.

categories: cond-mat.mtrl-sci cond-mat.mes-hall cond-mat.other cond-mat.soft physics.bio-ph


title:
On an estimator achieving the adaptive rate in nonparametric regression
  under $L^p$-loss for all $1\leq p \leq \infty$

abstract:
  Consider nonparametric function estimation under $L^p$-loss. The minimax rate
for estimation of the regression function over a H\"older ball with smoothness
index $\beta$ is $n^{-\beta/(2\beta+1)}$ if $1\leq p<\infty$ and $(n/\log
n)^{-\beta/(2\beta+1)}$ if $p=\infty.$ There are many known procedures that
either attain this rate for $p=\infty$ but are suboptimal by a $\log n$ factor
in the case $p<\infty$ or the other way around. In this article, we construct
an estimator that simultaneously achieves the optimal rates under $L^p$-risk
for all $1\leq p\leq \infty$ without prior knowledge of $\beta.$ In contrast to
classical wavelet thresholding methods that kill small empirical wavelet
coefficients and keep large ones, it is essential for simultaneous adaptation
that on each resolution level, the largest empirical wavelet coefficients are
truncated. This leads to a completely different point of view on wavelet
thresholding. The crucial part in the construction of the estimator is the size
of the truncation level which is linked to the unknown smoothness index.
Although estimation of the smoothness index is known to be a difficult task,
there is a data-driven choice of the truncation level that is sufficiently
precise for our purpose.


title:
Supersymmetry of the C-metric and the general Plebanski-Demianski
  solution

abstract:
  We derive the necessary and sufficient conditions under which the general
Plebanski-Demianski (PD) solution of Einstein-Maxwell theory with a negative
cosmological constant admits Killing spinors. We consider in detail two
different scaling limits of the PD metric. The first of these limits removes
the acceleration parameter, and leads to the Carter-Plebanski solution. In this
case, the integrability conditions for Killing spinors were obtained by
Alonso-Alberca, Meessen and Ortin in hep-th/0003071, and we show that these are
not only necessary, but also sufficient for the existence of Killing spinors.
This fills also a gap in hep-th/9808097, where the integrability conditions for
supersymmetry of the Kerr-Newman-AdS black hole were worked out, but the
Killing spinor was not constructed explicitely. The second scaling limit
eliminates the rotation parameter, and leads to the cosmological C-metric,
which describes accelerated black holes in AdS. Also in this case, the
supersymmetry conditions are obtained, and it is shown that they follow from
the ones of the general PD solution by scaling the parameters appropriately. In
all cases, we determine the three-dimensional base space that appears in the
classification scheme of hep-th/0307022, and prove that for the
1/2-supersymmetric Reissner-Nordstrom-AdS spacetime, this base is unique. A
Wick-rotation of our results leads to gravitational instantons that generalize
the ones constructed recently by Martelli, Passias and Sparks in arXiv:12124618
to U(1)xU(1) symmetry. These instantons are shown to admit an integrable almost
complex structure. Finally, our work may open the possibility to systematically
construct generalizations of the PD metric that include scalar fields with a
potential in matter-coupled gauged supergravity.


title: N\oe ther decomposition for birational maps

abstract:
  Let $\phi$ be a birational map of the complex projective plane. We know that
$\phi$ can be written as a composition of automorphisms of
$\mathbb{P}^2_\mathbb{C}$ and the standard quadratic birational map $\sigma$.
This writing, that is non-unique, is minimal if the number $\mathfrak{n}(\phi)$
of $\sigma$ is as small as possible. We prove that if $\phi$ is of degree
$d\geq 2$, then $\big[\frac{\ln d}{\ln 2}\big]\leq\mathfrak{n}(\phi)\leq
2(2d-1)$.


title: Cosmic variance and the measurement of the local Hubble parameter

abstract:
  There is an approximately 9% discrepancy, corresponding to 2.4sigma, between
two independent constraints on the expansion rate of the universe: one
indirectly arising from the cosmic microwave background and baryon acoustic
oscillations, and one more directly obtained from local measurements of the
relation between redshifts and distances to sources. We argue that by taking
into account the local gravitational potential at the position of the observer
this tension - strengthened by the recent Planck results - is partially
relieved and the concordance of the standard model of cosmology increased. We
estimate that measurements of the local Hubble constant are subject to a cosmic
variance of about 2.4% (limiting the local sample to redshifts z>0.010) or 1.3%
(limiting it to z>0.023), a more significant correction than that taken into
account already. Nonetheless, we show that one would need a very rare
fluctuation to fully explain the offset in the Hubble rates. If this tension is
further strengthened, a cosmology beyond the standard model may prove
necessary.


title:
Integral representations of the weighted geometric mean and the
  logarithmic mean

abstract:
  In the paper, the authors show that the weighted geometric mean and the
logarithmic mean are Bernstein functions and establish integral representations
of these means by Cauchy's integral theorem in the theory of complex functions.


title:
Towards Automatic Model Comparison: An Adaptive Sequential Monte Carlo
  Approach

abstract:
  Model comparison for the purposes of selection, averaging and validation is a
problem found throughout statistics. Within the Bayesian paradigm, these
problems all require the calculation of the posterior probabilities of models
within a particular class. Substantial progress has been made in recent years,
but difficulties remain in the implementation of existing schemes. This paper
presents adaptive sequential Monte Carlo (\smc) sampling strategies to
characterise the posterior distribution of a collection of models, as well as
the parameters of those models. Both a simple product estimator and a
combination of \smc and a path sampling estimator are considered and existing
theoretical results are extended to include the path sampling variant. A novel
approach to the automatic specification of distributions within \smc algorithms
is presented and shown to outperform the state of the art in this area. The
performance of the proposed strategies is demonstrated via an extensive
empirical study. Comparisons with state of the art algorithms show that the
proposed algorithms are always competitive, and often substantially superior to
alternative techniques, at equal computational cost and considerably less
application-specific implementation effort.


title: The proton-proton weak capture in chiral effective field theory

abstract:
  The astrophysical S-factor for proton-proton weak capture is calculated in
chiral effective field theory over the center-of-mass relative-energy range
0--100 keV. The chiral two-nucleon potential derived up to
next-to-next-to-next-to leading order is augmented by the full electromagnetic
interaction including, beyond Coulomb, two-photon and vacuum-polarization
corrections. The low-energy constants (LEC's) entering the weak current
operators are fixed so as to reproduce the A=3 binding energies and magnetic
moments, and the Gamow-Teller matrix element in tritium beta decay.
Contributions from S and P partial waves in the incoming two-proton channel are
retained. The S-factor at zero energy is found to be S(0)=(4.030 +/- 0.006) x
10^{-23} MeV fm^2, with a P-wave contribution of 0.020 x 10^{-23} MeV fm^2. The
theoretical uncertainty is due to the fitting procedure of the LEC's and to the
cutoff dependence.


title: Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

abstract:
  We extend earlier work on leading logarithms in the massive nonlinear O(n)
sigma model to the case of SU(N)xSU(N)/SU(N) which coincides with mesonic
chiral perturbation theory for N flavours of light quarks. We discuss the
leading logarithms for the mass and decay constant to six loops and for the
vacuum expectation value <\bar{q}q> to seven loops. For dynamical quantities
the expressions grow extremely large much faster such that we only quote the
leading logarithms to five loops for the vector and scalar form factor and for
meson-meson scattering. The last quantity we consider is the vector-vector to
meson-meson amplitude where we quote results up to four loops for a subset of
quantities, in particular for the pion polarizabilities. As a side result we
provide an elementary proof that the factors of N appearing at each loop order
are odd or even depending on the order and the remaining traces over external
flavours.


title: Quantum Field Theory in a Multi-Metric Background

abstract:
  By means of simple models in a flat spacetime manifold we examine some of the
issues that arise when quantizing interacting quantum fields in multi-metric
backgrounds. In particular we investigate the maintenance of a causal structure
in the models. In this context we introduce and explain the relevance of an
interpolating metric that is a superposition of the individual metrics in the
models. We study the renormalisation of a model with quartic interactions and
elucidate the structure of the renormalisation group and its implications for
Lorentz symmetry breakdown.


title: Ultrashort self-induced transparency plasmon solitons

abstract:
  We study the interband self-induced transmission of surface plasmon
polaritons in a gold film surrounded by an external Kerr medium. We model the
optical propagation by using a version of the generalized nonlinear Schrodinger
equation for the field envelope coupled to Bloch equations for valence
electrons of gold, predicting self-induced transparency of ultrashort plasmon
solitons with a pulse duration below 10 fs. We demonstrate that the Kerr
nonlinearity from the surrounding dielectric can be used to compensate for the
group velocity dispersion, and that the impact of dephasing and decay processes
can be effectively reduced by the self-induced transmission mechanism.


title: Estimation Stability with Cross Validation (ESCV)

abstract:
  Cross-validation (CV) is often used to select the regularization parameter in
high dimensional problems. However, when applied to the sparse modeling method
Lasso, CV leads to models that are unstable in high-dimensions, and
consequently not suited for reliable interpretation. In this paper, we propose
a model-free criterion ESCV based on a new estimation stability (ES) metric and
CV. Our proposed ESCV finds a locally ES-optimal model smaller than the CV
choice so that the it fits the data and also enjoys estimation stability
property. We demonstrate that ESCV is an effective alternative to CV at a
similar easily parallelizable computational cost. In particular, we compare the
two approaches with respect to several performance measures when applied to the
Lasso on both simulated and real data sets. For dependent predictors common in
practice, our main finding is that, ESCV cuts down false positive rates often
by a large margin, while sacrificing little of true positive rates. ESCV
usually outperforms CV in terms of parameter estimation while giving similar
performance as CV in terms of prediction. For the two real data sets from
neuroscience and cell biology, the models found by ESCV are less than half of
the model sizes by CV. Judged based on subject knowledge, they are more
plausible than those by CV as well. We also discuss some regularization
parameter alignment issues that come up in both approaches.


title: Single-photon coherent transparency in a coupled atoms-waveguide system

abstract:
  We investigate the single-photon propagation in the one-dimensional waveguide
coupled to $N$ two-level atoms. For a waveguide coupled to $N$ distant atoms,
the transparency can be induced by coherent interaction at resonance for an
$even$ $number$ of $N$, while for an $odd$ $number$ of $N$, the photon can be
fully reflected. We then can switch the photon transport by controlling the
atomic number. For a waveguide coupled to a small atomic ensemble of $N$ atoms
in the same position, the transparency disappears, and the photonic transport
property displays a jump behavior near the resonance point.


title:
Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical
  Lattice

abstract:
  We study the role of the Dipolar-Induced Resonance (DIR) in a
quasi-one-dimensional system of ultracold bosons. We first describe the effect
of the DIR on two particles in a harmonic trap. Then, we consider a deep
optical lattice loaded with ultracold dipolar bosons. In order to describe this
system, we introduce a novel atom-dimer extended Bose-Hubbard model, which is
the minimal model correctly accounting for the DIR. We analyze the impact of
the DIR on the phase diagram at T=0 by exact diagonalization of a small-sized
system. We show that the DIR strongly affects this phase diagram. In
particular, we predict the mass density wave to occur in a narrow domain
corresponding to weak nearest-neighbor interactions, and the occurrence of a
collapse phase for stronger dipolar interactions.


title:
Detection of CO absorption in the atmosphere of the hot Jupiter HD
  189733b

abstract:
  With time-series spectroscopic observations taken with the Near Infrared
Spectrometer (NIRSPEC) at Keck II, we investigated the atmosphere of the close
orbiting transiting extrasolar giant planet, HD 189733b. In particular, we
intended to measure the dense absorption line forest around 2.3 micron, which
is produced by carbon monoxide (CO). CO is expected to be present in the
planetary atmosphere, although no detection of this molecule has been claimed
yet. To identify the best suited data analysis method, we created artificial
spectra of planetary atmospheres and analyzed them by three approaches found in
the literature, the deconvolution method, data modeling via chi^2-minimization,
and cross-correlation. As a result, we found that cross-correlation and
chi^2-data modeling show systematically a higher sensitivity than the
deconvolution method. We analyzed the NIRSPEC data with cross-correlation and
detect CO absorption in the day-side spectrum of HD 189733b at the known
planetary radial velocity semi-amplitude with 3.4 sigma confidence.


title:
Tunable interfaces for realizing universal quantum computation with
  topological qubits

abstract:
  We propose to implement tunable interfaces for realizing universal quantum
computation with topological qubits. One interface is between the topological
and superconducting qubits, which can realize arbitrary single-qubit gate on
the topological qubit. When two qubits are involved, the interface between the
topological qubits and a microwave cavity can induce a nontrivial two-qubit
gate, which can not be constructed based on braiding operations. The two
interfaces, being tunable via an external magnetic flux, may serve as the
building blocks towards universal quantum computation with topological qubits.


title: Dynamical Trading Mechanism in Limit Order Markets

abstract:
  This work's purpose is to understand the dynamics of limit order books in
order-driven markets. We try to illustrate a dynamical trading mechanism
attached to the microstructure of limit order markets. We capture the iterative
nature of trading processes, which is critical in the dynamics of bid-ask pairs
and the switching laws between different traders' types and their orders. In
general, after introducing the atomic trading scheme, we study a general
iterated trading process in both combinatorial and stochastic ways, and state a
few results on the stability of a dynamical trading system. We also study the
controlled dynamics of the spread and the mid-price in an iterated trading
system, when their movements, generated from the dynamics of bid-ask pairs, are
assumed to be restricted within some extremely small ranges.


title:
Egocentric vision IT technologies for Alzheimer disease assessment and
  studies

abstract:
  Egocentric vision technology consists in capturing the actions of persons
from their own visual point of view using wearable camera sensors. We apply
this new paradigm to instrumental activities monitoring with the objective of
providing new tools for the clinical evaluation of the impact of the disease on
persons with dementia. In this paper, we introduce the current state of the
development of this technology and focus on two technology modules: automatic
location estimation and visual saliency estimation for content interpretation.


title: Vanishing moment conditions for wavelet atoms in higher dimensions

abstract:
  We provide explicit criteria for wavelets to give rise to frames and atomic
decompositions in ${\rm L}^2(\mathbb{R}^d)$, but also in more general Banach
function spaces. We consider wavelet systems that arise by translating and
dilating the mother wavelet, with the dilations taken from a suitable subgroup
of ${\rm GL}(\mathbb{R}^d)$, the so-called {\em dilation group}.The paper
provides a unified approach that is applicable to a wide range of dilation
groups, thus giving rise to new atomic decompositions for homogeneous Besov
spaces in arbitrary dimensions, but also for other function spaces such as
shearlet coorbit spaces.
  The atomic decomposition results are obtained by applying the coorbit theory
developed by Feichtinger and Gr\"ochenig, and they can be informally described
as follows: Given a function $\psi \in {\rm L}^2(\mathbb{R}^d)$ satisfying
fairly mild decay, smoothness and vanishing moment conditions, {\em any}
sufficiently fine sampling of the translations and dilations will give rise to
a wavelet frame. Furthermore, the containment of the analyzed signal in certain
smoothness spaces (generalizing the homogeneous Besov spaces) can be decided by
looking at the frame coefficients, and convergence of the frame expansion holds
in the norms of these spaces. We motivate these results by discussing nonlinear
approximation.


title:
A compact radio source in the high-redshift soft gamma-ray blazar IGR
  J12319-0749

abstract:
  Context. Blazars are powerful active galactic nuclei (AGNs) radiating
prominently in the whole electromagnetic spectrum, from the radio to the X-ray
and gamma-ray bands. Their emission is dominated by synchrotron and
inverse-Compton radiation from a relativistic jet originating from an accreting
central supermassive black hole. The object IGR J12319-0749 has recently been
identified as a soft gamma-ray source with the IBIS instrument of the INTEGRAL
satellite, coincident with a quasar at high redshift (z=3.12). Aims. We studied
the radio structure of IGR J12319-0749 to strengthen its blazar identification
by detecting a compact radio jet on the milli-arcsecond (mas) angular scale,
and to measure its astrometric position accurate to mas level. Methods. We used
the technique of electronic very long baseline interferometry (e-VLBI) to image
IGR J12319-0749 with the European VLBI Network (EVN) at 5 GHz on 2012 June 19.
Results. IGR J12319-0749 (J1231-0747) is a compact radio source, practically
unresolved on interferometric baselines up to ~136 million wavelengths. The
estimated brightness temperature (at least ~2 x 10^12 K) indicates that the
radio emission of its jet is Doppler-boosted. The accurate position of the
compact radio source is consistent with the positions measured at higher
energies.


title: Doubly elliptic strings on the (anti-)de Sitter manifold

abstract:
  We present a new class of elliptic-like strings on two-dimensional manifolds
of constant curvature. Our solutions are related to a class of identities
between Jacobi theta functions and to the geometry of the lightcone in one
(spacelike) dimension more.


title: Gilkey-de Witt heat kernel expansion and zero modes

abstract:
  In this paper we propose a generalization of the Gilkey-de Witt heat kernel
expansion, designed to provide us with a precise estimation of the heat trace
of non-negative Schroedinger type differential operators with non-trivial
kernel over all the domain of its "inverse temperature" variable. We apply this
modified approach to compute effectively the one-loop kink mass shift for some
models whose kink fluctuation operator spectrum is unknown and the only
alternative to estimate this magnitude is the use of the heat kernel expansion
techniques.


title:
Interplay between partnership formation and competition in generalized
  May-Leonard games

abstract:
  In order to better understand the interplay of partnership and competition in
population dynamics we study a family of generalized May-Leonard models with
$N$ species. These models have a very rich structure, characterized by
different types of space-time patterns. Interesting partnership formations
emerge following the maxim that "the enemy of my enemy is my friend." In
specific cases cyclic dominance within coarsening clusters yields a peculiar
coarsening behavior with intriguing pattern formation. We classify the
different types of dynamics through the analysis of the square of the adjacency
matrix. The dependence of the population densities on emerging pattern and
propagating wave fronts is elucidated through a Fourier analysis. Finally,
after having identified collaborating teams, we study interface fluctuations
where we initially populate different parts of the system with different teams.


title:
Transport signatures of pseudo-magnetic Landau levels in strained
  graphene ribbons

abstract:
  In inhomogeneously strained graphene, low-energy electrons experience a
valley-antisymmetric pseudo-magnetic field which leads to the formation of
localized states at the edge between the valence and conduction bands,
understood in terms of peculiar n=0 pseudo-magnetic Landau levels. Here we show
that such states can manifest themselves as an isolated quadruplet of
low-energy conductance resonances in a suspended stretched graphene ribbon,
where clamping by the metallic contacts results in a strong inhomogeneity of
strain near the ribbon ends.


title: Background fitting of Fermi GBM observations

abstract:
  The Fermi Gamma-ray Burst Monitor (GBM) detects gamma-rays in the energy
range 8 keV - 40 MeV. We developed a new background fitting process of these
data, based on the motion of the satellite. Here we summarize this method,
called Direction Dependent Background Fitting (DDBF), regarding the GBM
triggered catalog. We also give some preliminary results and compare the
duration parameters with the 2-years Fermi Burst Catalog.


title:
Elliptical Magnetic Mirror generated via Resistivity Gradients for Fast
  Ignition ICF

abstract:
  The elliptical magnetic mirror scheme for guiding fast electrons for Fast
Ignition proposed by Schmitz (H.Schmitz et al., {\it Plasma
Phys.Control.Fusion},{\bf 54} 085016 (2012)) is studied for conditions on the
multi-kJ scale which are much closer to full-scale Fast Ignition. When scaled
up, the elliptical mirror scheme is still highly beneficial to Fast Ignition.
An increase in the coupling effiency by a factor of 3--4 is found over a wide
range of fast electron divergence half-angles.


title:
On Quasinormal Modes for Gravitational Perturbations of Bardeen Black
  Hole

abstract:
  In this paper we investigate gravitational perturbations of a regular black
hole, particularly Bardeen solution. Such system is solution of Einstein
equations that do not have a singularity at the origin of the radial symmetry.
However it still have events horizons depending on the values of the
characteristic parameters of the solution. When a black hole is perturbed, it
oscillates. It gives rise to damped vibrating modes which are known as
quasinormal modes. It is calculated the quasinormal frequencies of a regular
black hole using the third order WKB approximation for gravitational
perturbations. The results are presented in tables I, II and III.


title: On the Gravitational Energy-Momentum Vector in f(T) Theories

abstract:
  This work is devoted to analyze the energy of the Universe in the context of
f(T) theories. Such theories are the analogous counterpart of the well known
f(R) theories that, however, uses torsion instead of curvature. We obtain a
general expression for the gravitational energy-momentum vector in this
framework. Using the hypothesis of the isotropy of spacetime, we find the
energy of the Universe and compare it with the energy obtained in the realm of
teleparallelism equivalent to general relativity (TEGR).


title:
Convex Hull-Based Multi-objective Genetic Programming for Maximizing ROC
  Performance

abstract:
  ROC is usually used to analyze the performance of classifiers in data mining.
ROC convex hull (ROCCH) is the least convex major-ant (LCM) of the empirical
ROC curve, and covers potential optima for the given set of classifiers.
Generally, ROC performance maximization could be considered to maximize the
ROCCH, which also means to maximize the true positive rate (tpr) and minimize
the false positive rate (fpr) for each classifier in the ROC space. However,
tpr and fpr are conflicting with each other in the ROCCH optimization process.
Though ROCCH maximization problem seems like a multi-objective optimization
problem (MOP), the special characters make it different from traditional MOP.
In this work, we will discuss the difference between them and propose convex
hull-based multi-objective genetic programming (CH-MOGP) to solve ROCCH
maximization problems. Convex hull-based sort is an indicator based selection
scheme that aims to maximize the area under convex hull, which serves as a
unary indicator for the performance of a set of points. A selection procedure
is described that can be efficiently implemented and follows similar design
principles than classical hyper-volume based optimization algorithms. It is
hypothesized that by using a tailored indicator-based selection scheme CH-MOGP
gets more efficient for ROC convex hull approximation than algorithms which
compute all Pareto optimal points. To test our hypothesis we compare the new
CH-MOGP to MOGP with classical selection schemes, including NSGA-II, MOEA/D)
and SMS-EMOA. Meanwhile, CH-MOGP is also compared with traditional machine
learning algorithms such as C4.5, Naive Bayes and Prie. Experimental results
based on 22 well-known UCI data sets show that CH-MOGP outperforms
significantly traditional EMOAs.


title:
Primordial black hole constraints for curvaton models with predicted
  large non-Gaussianity

abstract:
  We consider the early Universe scenario which allows for production of
non-Gaussian curvature perturbations at small scales. We study the
peculiarities of a formation of primordial black holes (PBHs) connected with
the non-Gaussianity. In particular, we show that PBH constraints on the values
of curvature perturbation power spectrum amplitude are strongly dependent on
the shape of perturbations and can significantly (by two orders of magnitude)
deviate from the usual Gaussian limit ${\cal P}_\zeta \lesssim 10^{-2}$. We
give examples of PBH mass spectra calculations and PBH constraints for the
particular case of the curvaton model.


title:
Dynamical lattice thermal conductivity, Shastry sum rule and second
  sound in bulk semiconductor crystals

abstract:
  The paper discusses the fundamental behavior of the dynamical lattice thermal
conductivity k(W) of bulk cubic semiconductor crystals. The calculation
approach is based on solving Boltzmann-Peierls Phonon Transport Equation in the
frequency domain after excitation by a dynamical temperature gradient, within
the framework of the single relaxation time approximation and using modified
Debye-Callaway model. Our model allows us to obtain a compact expression for
k(W) that captures the leading behavior of the dynamical thermal conduction by
phonons. This expression fulfills the causality requirement and leads to a
convolution type relationship between the heat flux density current and the
temperature gradient in the real space-time domain in agreement with
Gurtin-Pipkin theory. The dynamical behavior of k(W) is studied by changing
ambient temperature as well as different intrinsic and extrinsic parameters
including the effect of embedding semiconductor nanoparticles as extrinsic
phonon scattering centers. The paper investigates also the applicability of
Shastry Sum Rule and the possibility of existence and propagation of second
sound in the frame work of Boltzmann theory.


title:
The General Structure of Optimal Investment and Consumption with Small
  Transaction Costs

abstract:
  We investigate the general structure of optimal investment and consumption
with small proportional transaction costs. For a safe asset and a risky asset
with general continuous dynamics, traded with random and time-varying but small
transaction costs, we derive simple formal asymptotics for the optimal policy
and welfare. These reveal the roles of the investors' preferences as well as
the market and cost dynamics, and also lead to a fully dynamic model for the
implied trading volume. In frictionless models that can be solved in closed
form, explicit formulas for the leading-order corrections due to small
transaction costs are obtained.


title: More on the N=2 superconformal systems of type $D_p(G)$

abstract:
  A large family of 4d N=2 SCFT's was introduced in arXiv:1210.2886. Its
elements $D_p(G)$ are labelled by a positive integer p\in N and a simply-laced
Lie group G; their flavor symmetry is at least G. In the present paper we study
their physics in detail. We also analyze the properties of the theories
obtained by gauging the diagonal symmetry of a collection of $D_{p_i}(G)$
models. In all cases the computation of the physical quantities reduces to
simple Lie-theoretical questions. To make the analysis more functorial, we
replace the notion of the BPS-quiver of the N=2 QFT by the more intrinsic
concept of its META-quiver. In particular: 1) We compute the SCFT central
charges a, c, k, and flavor group F for all $D_p(G)$ models. 2) We identify the
subclass of $D_p(G)$ theories which correspond to previously known SCFT's
(linear SU and SO-USp quiver theories, Argyres-Douglas models, superconformal
gaugings of Minahan-Nemeshanski E_r models, etc.), as well as to non-trivial IR
fixed points of known theories. The $D_p(E_r)$ SCFT's with $p\geq 3$ cannot be
constructed by any traditional method. 3) We investigate the finite BPS
chambers of some of the models. 4) As a by product, we prove three conjectures
by Xie and Zhao, and provide new checks of the Argyres-Seiberg duality.


title: Charged Black Hole Remnants at the LHC

abstract:
  We investigate possible signatures of long-lived (or stable) charged black
holes at the Large Hadron Collider. In particular, we find that black hole
remnants are characterised by quite low speed. Due to this fact, the charged
remnants could, in some cases, be very clearly distinguished from the
background events, exploiting dE/dX measurements. We also compare the estimate
energy released by such remnants with that of typical Standard Model particles,
using the Bethe-Bloch formula.


title: The Potential Energy Surface in Molecular Quantum Mechanics

abstract:
  The idea of a Potential Energy Surface (PES) forms the basis of almost all
accounts of the mechanisms of chemical reactions, and much of theoretical
molecular spectroscopy. It is assumed that, in principle, the PES can be
calculated by means of clamped-nuclei electronic structure calculations based
upon the Schr\"{o}dinger Coulomb Hamiltonian. This article is devoted to a
discussion of the origin of the idea, its development in the context of the Old
Quantum Theory, and its present status in the quantum mechanics of molecules.
It is argued that its present status must be regarded as uncertain.


title:
Material quality assessment of silk nanofibers based on swarm
  intelligence

abstract:
  In this paper, we propose a novel approach for texture analysis based on
artificial crawler model. Our method assumes that each agent can interact with
the environment and each other. The evolution process converges to an
equilibrium state according to the set of rules. For each textured image, the
feature vector is composed by signatures of the live agents curve at each time.
Experimental results revealed that combining the minimum and maximum signatures
into one increase the classification rate. In addition, we pioneer the use of
autonomous agents for characterizing silk fibroin scaffolds. The results
strongly suggest that our approach can be successfully employed for texture
analysis.


title: Thermodynamic behavior of supercritical matter

abstract:
  Since their discovery in 1822, supercritical fluids have been of enduring
interest, and have started to be deployed in many important applications.
Theoretical understanding of the supercritical state is lacking, and is seen to
limit further industrial deployment. Here, we study thermodynamic properties of
the supercritical state, and discover that specific heat shows a crossover
between two different regimes, an unexpected result in view of currently
perceived homogeneity of supercritical state in terms of physical properties.
We subsequently formulate a theory of system thermodynamics above the
crossover, and find good agreement between calculated and experimental specific
heat with no free fitting parameters. We derive a power law and analyze
supercritical scaling exponents in the system above the Frenkel line. In this
theory, energy and heat capacity are governed by the minimal length of the
longitudinal mode in the system only, and do not explicitly depend on
system-specific structure and interactions.


title: Mixed Strategy May Outperform Pure Strategy: An Initial Study

abstract:
  In pure strategy meta-heuristics, only one search strategy is applied for all
time. In mixed strategy meta-heuristics, each time one search strategy is
chosen from a strategy pool with a probability and then is applied. An example
is classical genetic algorithms, where either a mutation or crossover operator
is chosen with a probability each time. The aim of this paper is to compare the
performance between mixed strategy and pure strategy meta-heuristic algorithms.
First an experimental study is implemented and results demonstrate that mixed
strategy evolutionary algorithms may outperform pure strategy evolutionary
algorithms on the 0-1 knapsack problem in up to 77.8% instances. Then
Complementary Strategy Theorem is rigorously proven for applying mixed strategy
at the population level. The theorem asserts that given two meta-heuristic
algorithms where one uses pure strategy 1 and another uses pure strategy 2, the
condition of pure strategy 2 being complementary to pure strategy 1 is
sufficient and necessary if there exists a mixed strategy meta-heuristics
derived from these two pure strategies and its expected number of generations
to find an optimal solution is no more than that of using pure strategy 1 for
any initial population, and less than that of using pure strategy 1 for some
initial population.


title: Coverings by open cells

abstract:
  We prove that in a semi-bounded o-minimal expansion of an ordered group every
non-empty open definable set is a finite union of open cells.


title:
Renormalization Group Running of Dimension-Six Sources of Parity and
  Time-Reversal Violation

abstract:
  We perform a systematic study of flavor-diagonal parity- and
time-reversal-violating operators of dimension six which could arise from
physics beyond the SM. We begin at the unknown high-energy scale where these
operators originate. At this scale the operators are constrained by gauge
invariance which has important consequences for the form of effective operators
at lower energies. In particular for the four-quark operators. We calculate
one-loop QCD and, when necessary, electroweak corrections to the operators and
evolve them down to the electroweak scale and subsequently to hadronic scales.
We find that for most operators QCD corrections are not particularly
significant. We derive a set of operators at low energy which is expected to
dominate hadronic and nuclear EDMs due to physics beyond the SM and obtain
quantitative relations between these operators and the original dimension-six
operators at the high-energy scale. We use the limit on the neutron EDM to set
bounds on the dimension-six operators.


title: Longer nilpotent series

abstract:
  New nilpotent series are produced that refine the usual nilpotent series of a
group. These refinements can be arbitrarily longer than the series they refine
and therefore clarify in greater detail the structure of automorphisms of
nilpotent groups. Examples, properties, and an application to group-isomorphism
testing are provided.


title: Revisiting the Higgs sector of the Standard Model

abstract:
  We analyze the Higgs sector of the Standard Model in the light of recently
found exact solutions of its dynamical equation. We work in a conformal regime
with zero mass term. It is seen that, provided self-interaction coupling is
finite, the field acquires mass and behaves exactly as a vanilla Higgs field at
the tree level. Changes are expected in the decay rates to vector bosons. We
evaluate this with a quantitative analysis showing how difficult could be to
observe higher excited states of the Higgs field presently. This field works
like an impostor with respect to the Standard Model formulation.


title:
Square functions and spectral multipliers for Bessel operators in UMD
  spaces

abstract:
  In this paper we consider square functions (also called Littlewood-Paley
g-functions) associated to Hankel convolutions acting on functions in the
Bochner-Lebesgue space $L^p((0,\infty),B)$, where $B$ is a UMD Banach space. As
special cases we study square functions defined by fractional derivatives of
the Poisson semigroup for the Bessel operator
$\Delta_\lambda=-x^{-\lambda}\frac{d}{dx}x^{2\lambda}\frac{d}{dx}x^{-\lambda}$,
$\lambda >0$. We characterize the UMD property for a Banach space $B$ by using
$L^p((0,\infty),B)$-boundedness properties of g-functions defined by
Bessel-Poisson semigroups. As a by product we prove that the fact that the
imaginary power $\Delta_\lambda ^{iw}$, $w\in \mathbb{R}\setminus\{0\}$, of the
Bessel operator $\Delta_\lambda$ is bounded in $L^p ((0,\infty),B)$,
$1<p<\infty$, characterizes the UMD property for the Banach space $B$. As
applications of our results for square functions we establish the boundedness
in $L^p((0,\infty),B)$ of spectral multipliers $m(\Delta_\lambda)$ of Bessel
operators defined by functions $m$ which are holomorphic in sectors
$\Sigma_\vartheta$.


title: Thermoelectric Current and Coulomb-Blockade Plateaus in a Quantum Dot

abstract:
  A Generalized Master Equation (GME) is used to study the thermoelectric
currents through a quantum dot in both the transient and steady-state regime.
The two semi-infinite leads are kept at the same chemical potential but at
different temperatures to produce a thermoelectric current which has a varying
sign depending on the chemical potential. The Coulomb interaction between the
electrons in the sample is included via the exact diagonalization method. We
observe a saw-teeth like profile of the current alternating with plateaus of
almost zero current. Our calculations go beyond the linear response with
respect to the temperature gradient, but are compatible with known results for
the thermopower in the linear response regime.


title:
Real-time wavefront-shaping through scattering media by all optical
  feedback

abstract:
  Focusing light through dynamically varying heterogeneous media is a
sought-after goal with important applications ranging from free-space
communication to nano-surgery. The underlying challenge is to control the
optical wavefront with a large number of degrees-of-freedom (DOF) at timescales
shorter than the medium dynamics. Recently, many advancements have been
reported following the demonstration of focusing through turbid samples by
wavefront-shaping, using spatial light modulators (SLMs) having >1000 DOF.
Unfortunately, SLM-based wavefront-shaping requires feedback from a
detector/camera and is limited to slowly-varying samples. Here, we demonstrate
a novel approach for wavefront-shaping using all-optical feedback. We show that
the complex wavefront required to focus through highly scattering samples,
including thin biological tissues, can be generated at sub-microsecond
timescales by the process of field self-organization inside a multimode laser
cavity, without requiring electronic feedback or SLMs. This wavefront-shaping
mechanism is more than five orders of magnitude faster than state-of-the-art,
reaching the timescales required in many applications.


title: Nonlinear Inversion from Partial EIT Data: Computational Experiments

abstract:
  Electrical impedance tomography (EIT) is a non-invasive imaging method in
which an unknown physical body is probed with electric currents applied on the
boundary, and the internal conductivity distribution is recovered from the
measured boundary voltage data. The reconstruction task is a nonlinear and
ill-posed inverse problem, whose solution calls for special regularized
algorithms, such as D-bar methods which are based on complex geometrical optics
solutions (CGOs). In many applications of EIT, such as monitoring the heart and
lungs of unconscious intensive care patients or locating the focus of an
epileptic seizure, data acquisition on the entire boundary of the body is
impractical, restricting the boundary area available for EIT measurements. An
extension of the D-bar method to the case when data is collected only on a
subset of the boundary is studied by computational simulation. The approach is
based on solving a boundary integral equation for the traces of the CGOs using
localized basis functions (Haar wavelets). The numerical evidence suggests that
the D-bar method can be applied to partial-boundary data in dimension two and
that the traces of the partial data CGOs approximate the full data CGO
solutions on the available portion of the boundary, for the necessary small $k$
frequencies.


title:
A Greedy Approximation of Bayesian Reinforcement Learning with Probably
  Optimistic Transition Model

abstract:
  Bayesian Reinforcement Learning (RL) is capable of not only incorporating
domain knowledge, but also solving the exploration-exploitation dilemma in a
natural way. As Bayesian RL is intractable except for special cases, previous
work has proposed several approximation methods. However, these methods are
usually too sensitive to parameter values, and finding an acceptable parameter
setting is practically impossible in many applications. In this paper, we
propose a new algorithm that greedily approximates Bayesian RL to achieve
robustness in parameter space. We show that for a desired learning behavior,
our proposed algorithm has a polynomial sample complexity that is lower than
those of existing algorithms. We also demonstrate that the proposed algorithm
naturally outperforms other existing algorithms when the prior distributions
are not significantly misleading. On the other hand, the proposed algorithm
cannot handle greatly misspecified priors as well as the other algorithms can.
This is a natural consequence of the fact that the proposed algorithm is
greedier than the other algorithms. Accordingly, we discuss a way to select an
appropriate algorithm for different tasks based on the algorithms' greediness.
We also introduce a new way of simplifying Bayesian planning, based on which
future work would be able to derive new algorithms.


title: Features and Aggregators for Web-scale Entity Search

abstract:
  We focus on two research issues in entity search: scoring a document or
snippet that potentially supports a candidate entity, and aggregating scores
from different snippets into an entity score. Proximity scoring has been
studied in IR outside the scope of entity search. However, aggregation has been
hardwired except in a few cases where probabilistic language models are used.
We instead explore simple, robust, discriminative ranking algorithms, with
informative snippet features and broad families of aggregation functions. Our
first contribution is a study of proximity-cognizant snippet features. In
contrast with prior work which uses hardwired "proximity kernels" that
implement a fixed decay with distance, we present a "universal" feature
encoding which jointly expresses the perplexity (informativeness) of a query
term match and the proximity of the match to the entity mention. Our second
contribution is a study of aggregation functions. Rather than train the ranking
algorithm on snippets and then aggregate scores, we directly train on entities
such that the ranking algorithm takes into account the aggregation function
being used. Our third contribution is an extensive Web-scale evaluation of the
above algorithms on two data sets having quite different properties and
behavior. The first one is the W3C dataset used in TREC-scale enterprise
search, with pre-annotated entity mentions. The second is a Web-scale
open-domain entity search dataset consisting of 500 million Web pages, which
contain about 8 billion token spans annotated automatically with two million
entities from 200,000 entity types in Wikipedia. On the TREC dataset, the
performance of our system is comparable to the currently prevalent systems. On
the much larger and noisier Web dataset, our system delivers significantly
better performance than all other systems, with 8% MAP improvement over the
closest competitor.


title:
Joint Optimization of Throughput and Packet Drop Rate for Delay
  Sensitive Applications in TDD Satellite Network Coded Systems

abstract:
  In this paper, we consider the issue of throughput and packet drop rate (PDR)
optimization as two performance metrics for delay sensitive applications in
network coded time division duplex (TDD) satellite systems with large round
trip times (RTT). We adopt random linear network coding (RLNC) under two
different scenarios, feedback-less and with feedback, and our goal is to
jointly optimize the mean throughputs and PDRs of users in the system. For this
purpose, we propose a systematic framework and start with formulating and
optimizing these performance metrics for the single-user case. This framework
enables us to analytically compare the performance metrics under different
system parameters and settings. By comparing RLNC schemes under feedback-less
and feedback scenarios for different RTTs, we show that the feedback-less
schemes outperform the schemes with feedback in TDD systems with large RTTs.
Then, we extend the study of feedback-less RLNC schemes to the multi-user
broadcast case. Here, we consider a number of different broadcast scenarios and
optimize the system parameters such that the best overall performance is
achieved. Furthermore, the complicated interplay of the mean throughputs and
PDRs of different users with different packet erasure conditions in each of the
considered broadcast scenarios is discussed.


title: The complexity of proving that a graph is Ramsey

abstract:
  We say that a graph with $n$ vertices is $c$-Ramsey if it does not contain
either a clique or an independent set of size $c \log n$. We define a CNF
formula which expresses this property for a graph $G$. We show a
superpolynomial lower bound on the length of resolution proofs that $G$ is
$c$-Ramsey, for every graph $G$. Our proof makes use of the fact that every
Ramsey graph must contain a large subgraph with some of the statistical
properties of the random graph.


title:
On the vector bundles associated to irreducible representations of
  cocompact lattices of SL(2,C)

abstract:
  In this continuation of \cite{BM}, we prove the following: Let $\Gamma\subset
\text{SL}(2,{\mathbb C})$ be a cocompact lattice, and let $\rho: \Gamma
\rightarrow \text{GL}(r,{\mathbb C})$ be an irreducible representation. Then
the holomorphic vector bundle $E_\rho \longrightarrow \text{SL}(2,{\mathbb
C})/\Gamma$ associated to $\rho$ is polystable. The compact complex manifold
$\text{SL}(2,{\mathbb C})/\Gamma$ has natural Hermitian structures; the
polystability of $E_\rho$ is with respect to these natural Hermitian
structures.


title: Charge Order in a Two-Dimensional Kondo Lattice Model

abstract:
  The possibility of charge order is theoretically examined for the Kondo
lattice model in two dimensions, which does not include bare repulsive
interactions. Using two complementary numerical methods, we find that charge
order appears at quarter filling in an intermediate Kondo coupling region. The
charge ordered ground state is an insulator exhibiting an antiferromagnetic
order at charge-poor sites, while the paramagnetic charge-ordered state at
finite temperatures is metallic with pseudogap behavior. We confirm that the
stability of charge order is closely related with the local Kondo-singlet
formation at charge-rich sites. Our results settle the controversy on charge
order in the Kondo lattice model in realistic spatial dimensions.


title:
Orbifold generic semi-positivity: an application to families of
  canonically polarized manifolds

abstract:
  In this article we establish a version of Y. Miyaoka generic semi-positivity
theorem in the context of log-canonical orbifold pairs. As an application, we
show that the canonical bundle associated to a lc pair is big as soon as there
exists a generically injective morphism from an ample line bundle to some
symmetric power of the cotangent bundle associated to the orbifold pair.


title: Types and forgetfulness in categorical linguistics and quantum mechanics

abstract:
  The role of types in categorical models of meaning is investigated. A general
scheme for how typed models of meaning may be used to compare sentences,
regardless of their grammatical structure is described, and a toy example is
used as an illustration. Taking as a starting point the question of whether the
evaluation of such a type system 'loses information', we consider the
parametrized typing associated with connectives from this viewpoint.
  The answer to this question implies that, within full categorical models of
meaning, the objects associated with types must exhibit a simple but subtle
categorical property known as self-similarity. We investigate the category
theory behind this, with explicit reference to typed systems, and their
monoidal closed structure. We then demonstrate close connections between such
self-similar structures and dagger Frobenius algebras. In particular, we
demonstrate that the categorical structures implied by the polymorphically
typed connectives give rise to a (lax unitless) form of the special forms of
Frobenius algebras known as classical structures, used heavily in abstract
categorical approaches to quantum mechanics.


title: Handbook on Best Practice for Minimising Beam Induced Damage during IBA

abstract:
  This handook is intended as a resource for scientists who use Ion Beam
Analysis (IBA), to help them understand and minimise beam damage induced during
the analysis. The basic physics of ion-matter interactions, from the perspectve
of damage induced by the beam during Ion Beam Analysis, is presented at a level
suitable for post-graduate students. The specificities of damage induced in
widely used IBA techniques such as Backscattering Spectrometry (RBS), Nuclear
Reaction Analysis (NRA), Elastic Recoil Detection Analysis (ERDA) and
Particle-Induced X-ray Emission (PIXE) are presented, followed by sections on
damage induced during analysis of different classes of materials such as
metals, semiconductors or polymers. A comprehensive bibliography is included.


title:
Relations between the Chow motive and the noncommutative motive of a
  smooth projective variety

abstract:
  In this note we relate the notions of Lefschetz type, decomposability, and
isomorphism, on Chow motives with the notions of unit type, decomposability,
and isomorphism, on noncommutative motives. Examples, counter-examples, and
applications are also described.


title: Quasipolarity of Generalized Matrix Rings

abstract:
  An element $a$ of a ring $R$ is called \emph{quasipolar} provided that there
exists an idempotent $p\in R$ such that $p\in comm^2(a)$, $a+p\in U(R)$ and
$ap\in R^{qnil}$. A ring $R$ is \emph{quasipolar} in case every element in $R$
is quasipolar. In this paper, we investigate quasipolarity of generalized
matrix rings $K_s (R)$ for a commutative local ring $R$ and $s\in R$. We show
that if $s$ is nilpotent, then $K_s(R)$ is quasipolar. We determine the
conditions under which elements of $K_s (R)$ are quasipolar. It is shown that
$K_s(R)$ is quasipolar if and only if $tr(A)\in J(R)$ or the equation
$x^2-tr(A)x+det_s(A)=0$ is solvable in $R$ for every $A\in K_s(R)$ with
$det_s(A)\in J(R)$. Furthermore, we prove that $M_2(R)$ is quasipolar if and
only if $M_2(R)$ is strongly clean for a commutative local ring $R$.


title: Exact sequences in the cohomology of a group extension

abstract:
  In [J. of Alg. 369: 70-95, 2012], the authors constructed a seven term exact
sequence in the cohomology of a group extension G of a normal subgroup N by a
quotient group Q with coefficients in a G-module M. However, they were unable
to establish the precise link between the maps in that sequence and the
corresponding maps arising from the spectral sequence associated to the group
extension and the G-module M. In this paper, we show that there is a close
connection between [J. of Alg. 369: 70-95, 2012] and our two earlier papers [J.
of Alg. 72: 296-334, 1981] and [J. Reine Angew. Math. 321: 150-172, 1981]. In
particular, we show that the results in the two papers just quoted entail that
the maps of [J. of Alg. 369: 70-95, 2012] other than the obvious inflation and
restriction maps do correspond to the corresponding ones arising from the
spectral sequence.


title:
ASNOM mapping of SiC epi-layer doping profile and of surface phonon
  polariton waveguiding

abstract:
  The apertureless SNOM mapping of the slightly-doped 4H-SiC epitaxial layer
grown on a heavily-doped 4H-SiC substrate was performed with a cleaved edge
geometry. ASNOM images taken at the light frequencies of a $C^{13}O_{2}^{16}$
laser show a clear contrast between the substrate and the epitaxial layer. The
contrast vanishes at the laser frequency of $884cm^{-1}$, and gets clearer at
higher frequencies $(923cm^{-1})$. This can be explained by changes in the
local polarizability of SiC caused by the carrier concentration, which are more
pronounced at higher frequencies. Since the light frequency is tuned up further
($935cm^{-1}$), a transversal mode structure appears in the ASNOM map,
indicating a waveguide-like confinement of a surface phonon polariton wave
inside the strip of an epi-layer outcrop.


title: Cellular Automata get their Wires Crossed

abstract:
  In three spatial dimensions, communication channels are free to pass over or
under each other so as to cross without intersecting; in two dimensions,
assuming channels of strictly positive thickness, this is not the case. It is
natural, then, to ask whether one can, in a suitable, two-dimensional model,
cross two channels in such a way that each successfully conveys its data, in
particular without the channels interfering at the intersection. We formalize
this question by modelling channels as cellular automata, and answer it
affirmatively by exhibiting systems whereby channels are crossed without
compromising capacity. We consider the efficiency (in various senses) of these
systems, and mention potential applications.


title:
Design and Analysis of a Multi-Carrier Differential Chaos Shift Keying
  Communication System

abstract:
  A new Multi-Carrier Differential Chaos Shift Keying (MC-DCSK) modulation is
presented in this paper. The system endeavors to provide a good trade-off
between robustness, energy efficiency and high data rate, while still being
simple compared to conventional multi-carrier spread spectrum systems. This
system can be seen as a parallel extension of the DCSK modulation where one
chaotic reference sequence is transmitted over a predefined subcarrier
frequency. Multiple modulated data streams are transmitted over the remaining
subcarriers. This transmitter structure increases the spectral efficiency of
the conventional DCSK system and uses less energy. The receiver design makes
this system easy to implement where no radio frequency (RF) delay circuit is
needed to demodulate received data. Various system design parameters are
discussed throughout the paper, including the number of subcarriers, the
spreading factor, and the transmitted energy. Once the design is explained, the
bit error rate performance of the MC-DCSK system is computed and compared to
the conventional DCSK system under an additive white Gaussian noise (AWGN) and
Rayleigh channels. Simulation results confirm the advantages of this new hybrid
design.


title:
Elliptic Flow from Non-equilibrium Initial Condition with a Saturation
  Scale

abstract:
  A current goal of relativistic heavy ion collisions experiments is the search
for a Color Glass Condensate as the limiting state of QCD matter at very high
density. In viscous hydrodynamics simulations, a standard Glauber initial
condition leads to estimate $4\pi \eta/s \sim 1$, while a Color Glass
Condensate modeling leads to at least a factor of 2 larger $\eta/s$. Within a
kinetic theory approach based on a relativistic Boltzmann-like transport
simulation, we point out that the out-of-equilibrium initial distribution
proper of a Color Glass Condensate reduces the efficiency in building-up the
elliptic flow. Our main result at RHIC energy is that the available data on
$v_2$ are in agreement with a $4\pi \eta/s \sim 1$ also for Color Glass
Condensate initial conditions, opening the possibility to describe
self-consistently also higher order flow, otherwise significantly
underestimated, and to pursue further the search for signatures of the Color
Glass Condensate.


title: Restriction on types of coherent states due to gauge symmetry

abstract:
  From the viewpoint of the SU(2) coherent states (CS) and their path integrals
(PI) labeled by a full set of Euler angles $(\phi, \theta, \psi)$ which we
developed in the previous paper, we study the relations between gauge
symmetries of Lagrangians and allowed quantum states; we investigate
permissible types of fiducial vectors (FV) in the full quantum dynamics in
terms of SU(2) coherent states for typical Lagrangians. We propose a general
framework for a Lagrangian having a certain gauge symmetry with respect to one
of the Euler angles $\psi$. We find that for the case fiducial vectors are so
restricted that they belong to the eigenstates of ${\hat S}_3$ or to the orbits
of them under the action of the SU(2); and the strength of a fictitious
monopole, which appears in the Lagrangian, is a multiple of $\frac12$. In this
case Dirac strings are permitted. Our formulations and results deepen those of
the preceding work by Stone that has piloted us; we illustrate the relation
between the two methods. The reasoning here does not work for a Lagrangian
without the gauge symmetry. This suggests a new possibility about monopole
charge quantization. Besides analogies to field theory and entanglements in
quantum information (QI) are briefly mentioned.


title: Is there an inertia due to the supersymmetry

abstract:
  We derive a standard Lorentz code (SLC) of motion by exploring rigid double
transformations of, so-called, 'master space-induced' supersymmetry (MS-SUSY),
subject to certain rules. The renormalizable and actually finite flat-space
field theories with $N_{max}=4$ supersymmetries in four dimensions, if only
such symmetries are fundamental to nature, yield the possible 'extension of
Lorentz code' (ELC), at which the SLC violating new physics appears. In the
framework of local MS-SUSY, we address the inertial effects. We argue that a
space-time deformation of MS is the origin of inertia effects that can be
observed by us. We go beyond the hypothesis of locality. This allows to improve
the relevant geometrical structures referred to the noninertial frame in
Minkowski space for an arbitrary velocities and characteristic acceleration
lengths. This framework furnishes justification for the introduction of the
'weak' principle of equivalence, i.e., the 'universality of free fall'. The
implications of the inertia effects in the more general post-Riemannian
geometry are briefly discussed.


title: On Optimal Input Design for Feed-forward Control

abstract:
  This paper considers optimal input design when the intended use of the
identified model is to construct a feed-forward controller based on measurable
disturbances. The objective is to find a minimum power excitation signal to be
used in system identification experiment, such that the corresponding
model-based feed-forward controller guarantees, with a given probability, that
the variance of the output signal is within given specifications. To start
with, some low order model problems are analytically solved and fundamental
properties of the optimal input signal solution are presented. The optimal
input signal contains feed-forward control and depends of the noise model and
transfer function of the system in a specific way. Next, we show how to apply
the partial correlation approach to closed loop optimal experiment design to
the general feed-forward problem. A framework for optimal input signal design
for feed-forward control is presented and numerically evaluated on a
temperature control problem.


title: Tiled Algorithms for Matrix Computations on Multicore Architectures

abstract:
  The current computer architecture has moved towards the multi/many-core
structure. However, the algorithms in the current sequential dense numerical
linear algebra libraries (e.g. LAPACK) do not parallelize well on
multi/many-core architectures. A new family of algorithms, the tile algorithms,
has recently been introduced to circumvent this problem. Previous research has
shown that it is possible to write efficient and scalable tile algorithms for
performing a Cholesky factorization, a (pseudo) LU factorization, and a QR
factorization. The goal of this thesis is to study tiled algorithms in a
multi/many-core setting and to provide new algorithms which exploit the current
architecture to improve performance relative to current state-of-the-art
libraries while maintaining the stability and robustness of these libraries.


title: Toggling a Genetic Switch Using Reinforcement Learning

abstract:
  In this paper, we consider the problem of optimal exogenous control of gene
regulatory networks. Our approach consists in adapting an established
reinforcement learning algorithm called the fitted Q iteration. This algorithm
infers the control law directly from the measurements of the system's response
to external control inputs without the use of a mathematical model of the
system. The measurement data set can either be collected from wet-lab
experiments or artificially created by computer simulations of dynamical models
of the system. The algorithm is applicable to a wide range of biological
systems due to its ability to deal with nonlinear and stochastic system
dynamics. To illustrate the application of the algorithm to a gene regulatory
network, the regulation of the toggle switch system is considered. The control
objective of this problem is to drive the concentrations of two specific
proteins to a target region in the state space.


title:
Constrained local extrema without Lagrange multipliers and the higher
  derivative test

abstract:
  Two are the main objectives of this article: first, we introduce a method for
determining and analyzing constrained local extrema that provides a different
alternative to all previous works on the topic, by eliminating Lagrange
multipliers and reducing constrained problems to unconstrained ones; Second, we
also develop another method for analyzing and determining the nature of known
critical points by resorting, when needed, to higher order derivatives. The
result presented here constitutes our proposal of solution to a long standing
problem: that of extending to higher dimensions what has been known for many
years in the case of functions defined on open sets of the real line, regarding
the classification of critical points when enough derivatives are also known at
those points.


title: Clausius entropy for arbitrary bifurcate null surfaces

abstract:
  Jacobson's thermodynamic derivation of the Einstein equations was originally
applied only to local Rindler horizons. But at least some parts of that
construction can usefully be extended to give meaningful results for arbitrary
bifurcate null surfaces. As presaged in Jacobson's original article, this more
general construction sharply brings into focus the questions: Is entropy
objectively "real"? Or is entropy in some sense subjective and
observer-dependent?
  These innocent questions open a Pandora's box of often inconclusive debate. A
consensus opinion, though certainly not universally held, seems to be that
Clausius entropy (thermodynamic entropy, defined via a Clausius relation dS =
dQ/T) should be objectively real, but that the ontological status of
statistical entropy (Shannon or von Neumann entropy) is much more ambiguous,
and much more likely to be observer-dependent. This question is particularly
pressing when it comes to understanding Bekenstein entropy (black hole
entropy). To perhaps further add to the confusion, we shall argue that even the
Clausius entropy can often be observer-dependent. In the current article we
shall conclusively demonstrate that one can meaningfully assign a notion of
Clausius entropy to arbitrary bifurcate null surfaces --- effectively defining
a "virtual Clausius entropy" for arbitrary "virtual (local) causal horizons".
  As an application, we see that we can implement a version of the generalized
second law (GSL) for this virtual Clausius entropy. This version of GSL can be
related to certain (nonstandard) integral variants of the null energy condition
(NEC). Because the concepts involved are rather subtle, we take some effort in
being careful and explicit in developing our framework. In future work we will
apply this construction to generalize Jacobson's derivation of the Einstein
equations.


title: Time-periodic solutions in Einstein AdS - massless scalar field system

abstract:
  We construct time-periodic solutions for a system of self-gravitating
massless scalar field, with negative cosmological constant, in d+1 spacetime
dimensions at spherical symmetry, both perturbatively and numerically. We
estimate the convergence radius of the formally obtained perturbative series
and argue that it is greater then zero. Moreover, this estimate coincides with
the boundary of the convergence domain of our numerical method and the
threshold for the black-hole formation. Then we confirm our results with a
direct numerical evolution. This also gives strong evidence for nonlinear
stability of the constructed time-periodic solutions.


title:
Forward tracking at the next \boldmath{$e^+e^-$} collider Part II:
  experimental challenges and detector design

abstract:
  We present the second in a series of studies into the forward tracking system
for a future linear $ e^+ e^- $ collider with a center-of-mass energy in the
range from 250 GeV to 3 TeV. In this note a number of specific challenges are
investigated, that have caused a degradation of the tracking and vertexing
performance in the forward region in previous experiments. We perform a
quantitative analysis of the dependence of the tracking performance on detector
design parameters and identify several ways to mitigate the performance loss
for charged particles emitted at shallow angle.


title: On $n$-maximal subgroups of finite groups

abstract:
  We describe finite soluble groups in which every $n$-maximal subgroup is
$\mathfrak F$-subnormal.


title: Generation of two-dimensional plasmonic bottle beams

abstract:
  By analogy to the three dimensional optical bottle beam, we introduce the
plasmonic bottle beam: a two dimensional surface wave which features a lattice
of plasmonic bottles, i.e. alternating regions of bright focii surrounded by
low intensities. The two-dimensional bottle beam is created by the interference
of a non-diffracting beam, a cosine-Gaussian beam, and a plane wave, thus
giving rise to a non-diffracting complex intensity distribution. By controlling
the propagation constant of the cosine-Gauss beam, the size and number of
plasmonic bottles can be engineered. The two dimensional lattice of hot spots
formed by this new plasmonic wave could have applications in plasmonic
trapping.


title: Field - Effect Switching in Nano-Graphite Films

abstract:
  The effect of electrical resistivity switching in nanographite films is
described. In difference with cases published elsewhere the switching in
nanographite films occurs from stable high conductive to metastable low
conductive state. Critical current of switching varies in the range 10-500 mA
and can be increased up to values appropriate for using of nanographite samples
in power grids as contact-less current limiters and circuit breakers. The
possible mechanisms of switching phenomenon in nanographite films are
discussed.


title: Distance-two coloring of sparse graphs

abstract:
  Consider a graph $G = (V, E)$ and, for each vertex $v \in V$, a subset
$\Sigma(v)$ of neighbors of $v$. A $\Sigma$-coloring is a coloring of the
elements of $V$ so that vertices appearing together in some $\Sigma(v)$ receive
pairwise distinct colors. An obvious lower bound for the minimum number of
colors in such a coloring is the maximum size of a set $\Sigma(v)$, denoted by
$\rho(\Sigma)$. In this paper we study graph classes $F$ for which there is a
function $f$, such that for any graph $G \in F$ and any $\Sigma$, there is a
$\Sigma$-coloring using at most $f(\rho(\Sigma))$ colors. It is proved that if
such a function exists for a class $F$, then $f$ can be taken to be a linear
function. It is also shown that such classes are precisely the classes having
bounded star chromatic number. We also investigate the list version and the
clique version of this problem, and relate the existence of functions bounding
those parameters to the recently introduced concepts of classes of bounded
expansion and nowhere-dense classes.


title:
Comparison of leading and next-to-leading logarithmic electroweak
  corrections to Higgs production

abstract:
  Using soft-collinear effective theory, the leading-log radiative electroweak
corrections are written in a closed and analytical form for the hadronic cross
section of Higgs production through vector boson fusion, qq->qqH, one of the
most promising channels for studying the Higgs boson at the LHC. The simple
leading-log resummation is compared with a full next-to-leading-log
calculation, and its accuracy is found to be of order 1% up to 10 TeV, i.e.
better than the accuracy of PDFs. Corrections are found to be larger than
predicted by one-loop fixed order approximations at LHC energies. The method
provides a simple way of incorporating the electroweak corrections in software
packages, improving the accuracy of simulations.


title:
Superconductivity with extremely large upper critical fields in
  Nb2Pd0.81S5

abstract:
  Here, we report the discovery of superconductivity in a new transition
metal-chalcogenide compound, i.e. Nb2Pd0.81S5, with a transition temperature Tc
> 6.6 K. Despite its relatively low Tc, it displays remarkably high and
anisotropic superconducting upper critical fields, e.g. mu_0 H_{c2} (T
approaching 0 K). 37 T for fields applied along the crystallographic b-axis.
For a field applied perpendicularly to the b-axis, mu_0 H_{c2} shows a linear
dependence in temperature which coupled to a temperature-dependent anisotropy
of the upper critical fields, suggests that Nb2Pd0.81S5 is a multi-band
superconductor. This is consistent with band structure calculations which
reveal nearly cylindrical and quasi-one-dimensional Fermi surface sheets having
hole and electron character, respectively. The static spin susceptibility as
calculated through the random phase approximation, reveals strong peaks
suggesting proximity to a magnetic state and therefore the possibility of
unconventional superconductivity.


title:
Properties of the Polarization Transformations for the Likelihood Ratios
  of Symmetric B-DMCs

abstract:
  In this paper we investigate, starting with a symmetric B-DMC, the evolution
of various probabilities of the likelihood ratios of the synthetic channels
created by the recursive application of the basic polarization transformations.
The analysis provides a new perspective into the theory of channel polarization
initiated by Ar{\i}kan and helps us to address a problem related to
approximating the computations of the likelihood ratios of the synthetic
channels.


title: Reentrant Phase Behavior in Active Colloids with Attraction

abstract:
  Motivated by recent experiments, we study a system of self-propelled colloids
that experience short-range attractive interactions and are confined to a
surface. Using simulations we find that the phase behavior for such a system is
reentrant as a function of activity: phase-separated states exist in both the
low- and high-activity regimes, with a homogeneous active fluid in between. To
understand the physical origins of reentrance, we develop a kinetic model for
the system's steady-state dynamics whose solution captures the main features of
the phase behavior. We also describe the varied kinetics of phase separation,
which range from the familiar nucleation and growth of clusters to the complex
coarsening of active particle gels.


title:
Analytic subordination theory of operator-valued free additive
  convolution and the solution of a general random matrix problem

abstract:
  We develop an analytic theory of operator-valued additive free convolution in
terms of subordination functions. In contrast to earlier investigations our
functions are not just given by power series expansions, but are defined as
Frechet analytic functions in all of the operator upper half plane.
Furthermore, we do not have to assume that our state is tracial. Combining this
new analytic theory of operator-valued free convolution with Anderson's
selfadjoint version of the linearization trick we are able to provide a
solution to the following general random matrix problem: How can we calculate
the asymptotic eigenvalue distribution of a polynomial evaluated in independent
random matrices with known asymptotic eigenvalue distributions?


title: Minimal parameterizations for modified gravity

abstract:
  The increasing precision of cosmological data provides us with an opportunity
to test general relativity (GR) on the largest accessible scales.
Parameterizing modified gravity models facilitates the systematic testing of
the predictions of GR, and gives a framework for detecting possible deviations
from it. Several different parameterizations have already been suggested, some
linked to classifications of theories, and others more empirically motivated.
Here we describe a particular new approach which casts modifications to gravity
through two free functions of time and scale, which are directly linked to the
field equations, but also easy to confront with observational data. We compare
our approach with other existing methods of parameterizing modied gravity,
specifically the parameterized post-Friedmann approach and the older method
using the parameter set $\{\mu,\gamma\}$. We explain the connection between our
parameters and the physics that is most important for generating cosmic
microwave background anisotropies. Some qualitative features of this new
parameterization, and therefore modifications to the gravitational equations of
motion, are illustrated in a toy model, where the two functions are simply
assumed to be constant parameters.


title: 1,2,3-Conjecture and 1,2-Conjecture for Sparse Graphs

abstract:
  We apply the Discharging Method to prove the 1,2,3-Conjecture and the
1,2-Conjecture for graphs with maximum average degree less than 8/3. Stronger
results on these conjectures have been proved, but this is the first
application of discharging to them, and the structure theorems and reducibility
results are of independent interest.