title: Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras

abstract:
  In this paper, we consider the modules for the Heisenberg-Virasoro algebra
and the W algebra $W(2,2)$. We determine the modules whose restriction to the
Cartan subalgebra (modulo center) are free of rank $1$ for the two algebras. We
also determine the simplicity of these modules. These modules provide new
simple modules for the W algebra $W(2,2)$.


title: BFKL Pomeron with massive gluons

abstract:
  We solve the BFKL equation in the leading logarithmic approximation
numerically in the Yang-Mills theory with the Higgs mechanism for the vector
boson mass generation. It can be considered as a model for the amplitude with
the correct behavior of the $s$-channel partial waves at large impact
parameters. The Pomeron spectrum of the massive BFKL kernel in the
$\omega$-space for $t=0$ coincides with the continuous spectrum for the
massless case although the density of its eigenvalues is two times smaller for
$\omega >\omega _0$, where $\omega_0$ is a negative number. We find a simple
parametrization for the corresponding eigenfunctions. Because the leading
singularity in the $\omega$-plane in this Higgs model for $t=0$ is a fixed cut,
the Regge pole contributions could be only for non-physical positive $t$. Hence
we can state that the correct behaviour at large $b$ does not influence the
main properties of the BFKL equation.


title:
Parallel versus Sequential Update and the Evolution of Cooperation with
  the Assistance of Emotional Strategies

abstract:
  Our study contributes to the debate on the evolution of cooperation in the
single-shot Prisoner's Dilemma (PD) played on networks. We construct a model in
which individuals are connected with positive and negative ties. Some agents
play sign-dependent strategies that use the sign of the relation as a shorthand
for determining appropriate action toward the opponent. In the context of our
model in which network topology, agent strategic types and relational signs
coevolve, the presence of sign-dependent strategies catalyzes the evolution of
cooperation. We highlight how the success of cooperation depends on a crucial
aspect of implementation: whether we apply parallel or sequential strategy
update. Parallel updating, with averaging of payoffs across interactions in the
social neighborhood, supports cooperation in a much wider set of parameter
values than sequential updating. Our results cast doubts about the realism and
generalizability of models that claim to explain the evolution of cooperation
but implicitly assume parallel updating.


title:
Construction of the edge states in fractional quantum Hall systems by
  Jack polynomial

abstract:
  We study the edge-mode excitations of a fractional quantum Hall droplet by
expressing the edge state wavefunctions as linear combinations of Jack
polynomials with a negative parameter. We show that the exact diagonalization
within subspace of Jack polynomials can be used to generate the chiral
edge-mode excitation spectrum in the Laughlin phase and the Moore-Read phase
with realistic Coulomb interaction. The truncation technique for the edge
excitations simplifies the procedure to extract reliably the edge-mode
velocities, which avoids the otherwise complicated analysis of the full
spectrum that contains both edge and bulk excitations. Generalization to the
Read-Rezayi state is also discussed.


title:
Evolving Accuracy: A Genetic Algorithm to Improve Election Night
  Forecasts

abstract:
  In this paper, we apply genetic algorithms to the field of electoral studies.
Forecasting election results is one of the most exciting and demanding tasks in
the area of market research, especially due to the fact that decisions have to
be made within seconds on live television. We show that the proposed method
outperforms currently applied approaches and thereby provide an argument to
tighten the intersection between computer science and social science,
especially political science, further. We scrutinize the performance of our
algorithm's runtime behavior to evaluate its applicability in the field.
Numerical results with real data from a local election in the Austrian province
of Styria from 2010 substantiate the applicability of the proposed approach.


title: It\^o's theorem and metabelian Leibniz algebras

abstract:
  We prove that the celebrated It\^{o}'s theorem for groups remains valid at
the level of Leibniz algebras: if $\mathfrak{g}$ is a Leibniz algebra such that
$\mathfrak{g} = A + B$, for two abelian subalgebras $A$ and $B$, then
$\mathfrak{g}$ is metabelian, i.e. $[ \, [\mathfrak{g}, \, \mathfrak{g}], \, [
\mathfrak{g}, \, \mathfrak{g} ] \, ] = 0$. A structure type theorem for
metabelian Leibniz/Lie algebras is proved. All metabelian Leibniz algebras
having the derived algebra of dimension $1$ are described, classified and their
automorphisms groups are explicitly determined as subgroups of a semidirect
product of groups $P^* \ltimes \bigl(k^* \times {\rm Aut}_{k} (P) \bigl)$
associated to any vector space $P$.


title: Universal hierarchical behavior of citation networks

abstract:
  Many of the essential features of the evolution of scientific research are
imprinted in the structure of citation networks. Connections in these networks
imply information about the transfer of knowledge among papers, or in other
words, edges describe the impact of papers on other publications. This inherent
meaning of the edges infers that citation networks can exhibit hierarchical
features, that is typical of networks based on decision-making. In this paper,
we investigate the hierarchical structure of citation networks consisting of
papers in the same field. We find that the majority of the networks follow a
universal trend towards a highly hierarchical state, and i) the various fields
display differences only concerning their phase in life (distance from the
"birth" of a field) or ii) the characteristic time according to which they are
approaching the stationary state. We also show by a simple argument that the
alterations in the behavior are related to and can be understood by the degree
of specialization corresponding to the fields. Our results suggest that during
the accumulation of knowledge in a given field, some papers are gradually
becoming relatively more influential than most of the other papers.

categories: physics.soc-ph cs.DL cs.SI physics.data-an


title:
Characterization of load bearing metrological parameters in reptilian
  exuviae in comparison to precision finished cylinder liner surfaces

abstract:
  Design of precise functional surfaces is essential for many future
applications. In the technological realm, the accumulated experience with the
construction of such surfaces is not sufficient. Nature provides many examples
of dynamic surfaces worthy of study and adoption, at least as a concept, within
human engineering. In this work, we probe load-bearing features of the ventral
skin of snake surfaces. We examine the structure of two snake species that
mainly move by rectilinear locomotion. These are Python regius (pythonidae) and
Bittis gabonica (Vipridae). To this end, we focus on the load bearing
characteristics of the ventral skin surface (i.e. the Rk family of parameters).
Therefore, we draw detailed comparison between the reptilian surfaces and two
sets of technological data. The first set pertains to an actual commercial
cylinder liner, whereas, the second set is a summary of recommended surface
finish metrological values for several commercial cylinder liner manufacturers.
The results highlight several similarities between the two types of surfaces.
In particular, we show that there is a striking correspondence between the
sense of texture engineering within both surfaces (although that their
construction evolved along entirely different paths). We also show that
reptilian surfaces manifest a high degree of specialization with respect to
habitat constraints on wear resistance and adhesive effects.


title:
The Origin of the Young Pulsar PSR J0826+2637 and Its Possible Former
  Companion HIP 13962

abstract:
  We aim to identify the birth place of the young pulsar PSR J0826+2637 in
order to determine its kinematic age and give constraints on its radial and
spatial (kick) velocity. Since the majority of neutron star (NS) progenitors
are in associations or clusters, we search for a possible origin of the NS
inside such stellar groups. We trace back the NS and the centres of possible
birth associations and clusters to find close encounters. The kinematic age is
then given by the time since the encounter. We use Monte Carlo simulations to
account for observational uncertainties and the unknown radial velocity of the
NS. We evaluate the outcome statistically. In order to find further indication
for our findings, we also search for a runaway star that could be the former
companion if it exists. We find that PSR J0826+2637 was probably born in the
small young cluster Stock 7 ~3 Myr ago. This result is supported by the
identification of the former companion candidate HIP 13962 (runaway star with
spectral type G0Ia). The scenario predicts a near-zero radial velocity of the
pulsar implying an inclination angle of its motion to the line-of-sight of
87+/-11 deg. We also present the chemical abundances of HIP 13962. We do not
find enhanced alpha element abundances in the highly evolved star. However, the
binary supernova scenario may be supported by the overabundance of r-process
elements that could have been ejected during the supernova and accreted by the
runaway star. Also, a high rotational velocity of v sin i ~29 km/s of HIP 13962
is consistent with evolution in a pre-SN binary system.


title: Continuous variable quantum information: Gaussian states and beyond

abstract:
  The study of Gaussian states has arisen to a privileged position in
continuous variable quantum information in recent years. This is due to
vehemently pursued experimental realisations and a magnificently elegant
mathematical framework. In this article, we provide a brief, and hopefully
didactic, exposition of Gaussian state quantum information and its contemporary
uses, including sometimes omitted crucial details. After introducing the
subject material and outlining the essential toolbox of continuous variable
systems, we define the basic notions needed to understand Gaussian states and
Gaussian operations. In particular, emphasis is placed on the mathematical
structure combining notions of algebra and symplectic geometry fundamental to a
complete understanding of Gaussian informatics. Furthermore, we discuss the
quantification of different forms of correlations (including entanglement and
quantum discord) for Gaussian states, paying special attention to recently
developed measures. The manuscript is concluded by succinctly expressing the
main Gaussian state limitations and outlining a selection of possible future
lines for quantum information processing with continuous variable systems.

categories: quant-ph cond-mat.stat-mech math-ph math.MP physics.optics


title:
Multiple Hybrid Phase Transition: Bootstrap Percolation on Complex
  Networks with Communities

abstract:
  Bootstrap percolation is a well-known model to study the spreading of rumors,
new products or innovations on social networks. The empirical studies show that
community structure is ubiquitous among various social networks. Thus, studying
the bootstrap percolation on the complex networks with communities can bring us
new and important insights of the spreading dynamics on social networks. It
attracts a lot of scientists' attentions recently. In this letter, we study the
bootstrap percolation on Erd\H{o}s-R\'{e}nyi networks with communities and
observed second order, hybrid (both second and first order) and multiple hybrid
phase transitions, which is rare in natural system. Moreover, we have
analytically solved this system and obtained the phase diagram, which is
further justified well by the corresponding simulations.


title: Solving Kepler's equation via Smale's $\alpha$-theory

abstract:
  We obtain an approximate solution $\tilde{E}=\tilde{E}(e,M)$ of Kepler's
equation $E-e\sin(E)=M$ for any $e\in[0,1)$ and $M\in[0,\pi]$. Our solution is
guaranteed, via Smale's $\alpha$-theory, to converge to the actual solution $E$
through Newton's method at quadratic speed, i.e. the $n$-th iteration produces
a value $E_n$ such that $|E_n-E|\leq (\frac12)^{2^n-1}|\tilde{E}-E|$. The
formula provided for $\tilde{E}$ is a piecewise rational function with
conditions defined by polynomial inequalities, except for a small region near
$e=1$ and $M=0$, where a single cubic root is used. We also show that the root
operation is unavoidable, by proving that no approximate solution can be
computed in the entire region $[0,1)\times[0,\pi]$ if only rational functions
are allowed in each branch.


title:
Bounds for Green's functions on noncompact hyperbolic Riemann
  orbisurfaces of finite volume

abstract:
  In 2006, in a paper published in Compositio titled "Bounds on canonical
Green's functions", J. Jorgenson and J. Kramer derived bounds for the canonical
Green's function and the hyperbolic Green's function defined on a compact
hyperbolic Riemann surface. In this article, we extend these bounds to
noncompact hyperbolic Riemann orbisurfaces of finite volume and of genus
greater than zero, which can be realized as a quotient space of the action of a
Fuchsian subgroup of first kind on the hyperbolic upper half-plane.
  Our bounds are optimally derived by following the methods from the above
mentioned paper of J. Jorgenson and J. Kramer.


title: The Planck Catalogue of Compact Sources

abstract:
  The Planck Catalogue of Compact Sources (PCCS) is the catalogue of sources
detected in the first 15 months of Planck operations, the nominal mission. It
consists of nine single-frequency catalogues of compact sources, both Galactic
and extragalactic, detected over the entire sky. The PCCS covers the frequency
range 30 -- 857 GHz with higher sensitivity and better angular resolution than
previous all-sky surveys in the microwave band. It is 90 percent complete at
180 mJy in the best channel, and the resolution ranges from 32.88 to 4.33 arc
minutes. By construction its reliability is greater than 80 percent, and more
than 65 percent of the sources have been detected at least in two contiguous
Planck channels. Many of the Planck PCCS sources can be associated with stars
with dust shells, stellar cores, radio galaxies, blazars, infrared luminous
galaxies and Galactic interstellar medium features. Here we summarize the
construction and validation of the PCCS, its contents and its statistical
characterization.


title: Theoretical analysis of BLM system for HLS II

abstract:
  Hefei Light Source (HLS) is being upgraded to HLS II. Its emittance will be
much lower than before, therefore the Touschek scattering will increase
significantly and become the dominant factor of beam loss. So it is necessary
to build a new beam loss monitoring (BLM) system differed from the old one to
obtain the quantity and position information of lost electrons. This
information is useful in the commissioning, troubleshooting and beam lifetime
studying for HLS II. This paper analyzes the distribution features of different
kinds of lost electrons, introduces the new machine's operation parameters and
discusses the way to choose proper monitoring positions. Base on these
comprehensive analysis, a new BLM system for HLS II is proposed.


title: Perturbative large deviation analysis of non-equilibrium dynamics

abstract:
  Macroscopic fluctuation theory has shown that a wide class of non-equilibrium
stochastic dynamical systems obey a large deviation principle, but except for a
few one-dimensional examples these large deviation principles are in general
not known in closed form. We consider the problem of constructing successive
approximations to an (unknown) large deviation functional and show that the
non-equilibrium probability distribution the takes a Gibbs-Boltzmann form with
a set of auxiliary (non-physical) energy functions. The expectation values of
these auxiliary energy functions and their conjugate quantities satisfy a
closed system of equations which can imply a considerable reduction of
dimensionality of the dynamics. We show that the accuracy of the approximations
can be tested self-consistently without solving the full non- equilibrium
equations. We test the general procedure on the simple model problem of a
relaxing 1D Ising chain.


title:
Testing of Dark Energy and a Solution of the Cosmological Constant
  Problem

abstract:
  A probable solution of the cosmological constant problem was recently found.
We propose that dark energy of the Universe is vacuum energy. Our Universe
during its expansion is spending its vacuum energy for creation of new quantum
states, but in the quantum regime phase transitions were more effective in
reducing the vacuum energy than creation of new quantum states. Here we show
how the 123 crisis orders of the vacuum energy are reduced by conventional
physical processes in both the quantum and classical regimes of the Universe
evolution. Numeral estimates of dark energy evolution are also presented.


title: Slow and fast light dynamics in a chiral cold and hot atomic medium

abstract:
  We study Chiral Based Electromagnetically Induced Transparency (CBEIT) of a
light pulse and its associated subluminal and superluminal behavior through a
cold and a hot medium of 4-level \textit{double-Lambda type} atomic system. The
dynamical behavior of this chiral based system is temperature dependent. The
magnetic field based chirality and dispersion is always opposite as compared
with the electric field ones. Contrastingly, the response of the chiral effect
along with the incoherence Doppler broadening mechanism enhances the
superluminal behavior as compared with its traditional degrading effect.
Nevertheless, the intensity of a coupled microwave field destroys the coherence
of the medium and degrade superluminality and subluminality of the sysmtem. The
undistorted retrieved pulse from a hot chiral medium delays by $896 ns$ than
from a cold chiral medium under same set of parameters. Nevertheless, it
advances by $-31n s$ in the cold chiral medium when a suitably different
spectroscopic parameters are selected. The corresponding group index of the
medium and the time delay/advance, are studied and analyzed explicitly [Note: A
revise version is under preparation


title:
Distinguishing between inflationary models from cosmic microwave
  background

abstract:
  In this paper, inflationary cosmology is reviewed, paying particular
attention to its observational signatures associated with large-scale density
perturbations generated from quantum fluctuations. In the most general
scalar-tensor theories with second-order equations of motion, we derive the
scalar spectral index $n_s$, the tensor-to-scalar ratio $r$, and the nonlinear
estimator $f_{\rm NL}$ of primordial non-Gaussianities to confront models with
observations of Cosmic Microwave Background (CMB) temperature anisotropies. Our
analysis includes models such as potential-driven slow-roll inflation,
k-inflation, Starobinsky inflation, and Higgs inflation with
non-minimal/derivative/Galileon couplings. We constrain a host of inflationary
models by using the Planck data combined with other measurements to find models
most favored observationally in the current literature. We also study
anisotropic inflation based on a scalar coupling with a vector (or, two-form)
field and discuss its observational signatures appearing in the two-point and
three-point correlation functions of scalar and tensor perturbations.


title: On Keller's conjecture in dimension seven

abstract:
  A cube tiling of $\mathbb{R}^d$ is a family of pairwise disjoint cubes
$[0,1)^d+T=\{[0,1)^d+t:t\in T\}$ such that $\bigcup_{t\in
T}([0,1)^d+t)=\mathbb{R}^d$. Two cubes $[0,1)^d+t$, $[0,1)^d+s$ are called a
twin pair if $|t_j-s_j|=1$ for some $j\in [d]=\{1,\ldots, d\}$ and $t_i=s_i$
for every $i\in [d]\setminus \{j\}$. In $1930$, Keller conjectured that in
every cube tiling of $\mathbb{R}^d$ there is a twin pair. Keller's conjecture
is true for dimensions $d\leq 6$ and false for all dimensions $d\geq 8$. For
$d=7$ the conjecture is still open. Let $x\in \mathbb{R}^d$, $i\in [d]$, and
let $L(T,x,i)$ be the set of all $i$th coordinates $t_i$ of vectors $t\in T$
such that $([0,1)^d+t)\cap ([0,1]^d+x)\neq \emptyset$ and $t_i\leq x_i$. It is
known that if $|L(T,x,i)|\leq 2$ for some $x\in \mathbb{R}^7$ and every $i\in
[7]$ or $|L(T,x,i)|\geq 6$ for some $x\in \mathbb{R}^7$ and $i\in [7]$, then
Keller's conjecture is true for $d=7$. In the present paper we show that it is
also true for $d=7$ if $|L(T,x,i)|=5$ for some $x\in \mathbb{R}^7$ and $i\in
[7]$. Thus, if there is a counterexample to Keller's conjecture in dimension
seven, then $|L(T,x,i)|\in \{3,4\}$ for some $x\in \mathbb{R}^7$ and $i\in
[7]$.


title:
The QUIJOTE CMB Experiment: status and first results with the
  multi-frequency instrument

abstract:
  The QUIJOTE (Q-U-I JOint Tenerife) CMB Experiment is designed to observe the
polarization of the Cosmic Microwave Background and other Galactic and
extragalactic signals at medium and large angular scales in the frequency range
of 10-40 GHz. The first of the two QUIJOTE telescopes and the multi-frequency
(10-20 GHz) instrument have been in operation since November 2012. In 2014 a
second telescope and a new instrument at 30GHz will be ready for commissioning,
and an additional instrument at 40 GHz is in its final design stages. After
three years of effective observations, the data obtained by these telescopes
and instruments will have the required sensitivity to detect a primordial
gravitational-wave component if the tensor-to-scalar ratio is larger than r =
0.05. At the moment, we have completed half of the wide Galactic survey with
the multi-frequency instrument covering 18 000 square degrees of the Northern
hemisphere. When we finish this survey in early 2014, we shall have reached
approximately 14{\mu}K per one degree beam at 11, 13, 17 and 19 GHz, in both Q
and U.


title:
An algorithm for calculating steady state probabilities of $M|E_r|c|K$
  queueing systems

abstract:
  This paper presents a method for calculating steady state probabilities of
$M|E_r|c|K$ queueing systems. The infinitesimal generator matrix is used to
define all possible states in the system and their transition probabilities.
While this matrix can be written down immediately for many other $M|PH|c|K$
queueing systems with phase-type service times (e.g. Coxian, Hypoexponential,
\ldots), it requires a more careful analysis for systems with Erlangian service
times. The constructed matrix may then be used to calculate steady state
probabilities using an iterative algorithm. The resulting steady state
probabilities can be used to calculate various performance measures, e.g. the
average queue length. Additionally, computational issues of the implementation
are discussed and an example from the field of telecommunication call-center
queue length will be outlined to substantiate the applicability of these
efforts. In the appendix, tables of the average queueing length given a
specific number of service channels, traffic density, and system size are
presented.


title: The simplex of tracial quantum symmetric states

abstract:
  We show that the space of tracial quantum symmetric states of an arbitrary
unital C*-algebra is a Choquet simplex and is a face of the tracial state space
of the universal unital C*-algebra free product of A with itself infinitely
many times. We also show that the extreme points of this simplex are dense,
making it the Poulsen simplex when A is separable and nontrivial. In the course
of the proof we characterize the centers of certain tracial amalgamated free
product C*-algebras.


title:
A new picture for the chiral symmetry properties within a particle-core
  framework

abstract:
  The Generalized Coherent State Model, proposed previously for a unified
description of magnetic and electric collective properties of nuclear systems,
is extended to account for the chiral like properties of nuclear systems. To a
phenomenological core described by the GCSM a set of interacting particles are
coupled. Among the particle-core states one identifies a finite set which have
the property that the angular momenta carried by the proton and neutron
quadrupole bosons and the particles respectively, are mutually orthogonal. All
terms of the model Hamiltonian satisfy the chiral symmetry except for the
spin-spin interaction. The magnetic properties of the particle-core states,
where the three mentioned angular momenta are orthogonal, are studied. A
quantitative comparison of these features with the similar properties of
states, where the three angular momenta belong to the same plane, is performed.


title:
Local electronic properties in the superconducting and the normal phase
  in the disordered film of titanium nitride

abstract:
  We present in this paper the conductance maps at 100 mK in the disordered
polycrystalline film of titanium nitride (TiN). At 5 nm, the film is close to
quasi-two dimensional limit and exhibits features pertaining to the
superconductor to insulator transition. We measured conductance maps at zero
field and at 4 T, which represent the superconducting and the normal phase,
respectively. The conductance map at 4 T is uniform, in which the conductance
behavior, with logarithmic variation, resembles to the disorder enhanced
electron-electron interaction in the two dimensional metallic phase. At low
fields we observe the spatial variations of the conductance in the
superconducting phase. At several places the superconducting energy gap
fluctuates to an extent that the quasi-particle peaks are absent in the
conductance curves. The conductance map over a region encompassing only few
crystallites suggests that the inhomogeneities in the superconducting phase
related to the spatial variations of the electronic density are across the
crystalline boundaries.


title: Bottomonium States in Radiative Y(2S) Decays

abstract:
  A study of various bottomonium states, in Y(2S)-> gamma (b b-bar) decays,
reconstructed exclusively in 26 hadronic final states is presented. The study
is performed using a data sample recorded at the Y(2S) resonance with the Belle
detector at KEKB, that contains 157.8 X 10^6 Y(2S) events. The chi_{bJ}(1P)
states are found with their masses being consistent with the world average
values. We find no evidence for the state claimed to have been observed around
9975 MeV/c^{2} in an analysis based on a data sample of 9.3 X 10^6 Y(2S) events
collected with the CLEO~III detector, and place an upper limit an order of
magnitude lower than the latter result. In the same study, the eta_{b}(1S)
state is also searched for.


title: Evolutionary Optimization for Decision Making under Uncertainty

abstract:
  Optimizing decision problems under uncertainty can be done using a variety of
solution methods. Soft computing and heuristic approaches tend to be powerful
for solving such problems. In this overview article, we survey Evolutionary
Optimization techniques to solve Stochastic Programming problems - both for the
single-stage and multi-stage case.


title: Functorial Semantics of Second-Order Algebraic Theories

abstract:
  The purpose of this work is to complete the algebraic foundations of
second-order languages from the viewpoint of categorical algebra as developed
by Lawvere. To this end, this paper introduces the notion of second-order
algebraic theory and develops its basic theory. A crucial role in the
definition is played by the second-order theory of equality $\M$, representing
the most elementary operators and equations present in every second-order
language. The category $\M$ can be described abstractly via the universal
property of being the free cartesian category on an exponentiable object.
Thereby, in the tradition of categorical algebra, a second-order algebraic
theory consists of a cartesian category $\Mlaw$ and a strict cartesian
identity-on-objects functor $\M \to \Mlaw$ that preserves the universal
exponentiable object of $\Mlaw$. Lawvere's functorial semantics for algebraic
theories can then be generalised to the second-order setting. To verify the
correctness of our theory, two categorical equivalences are established: at the
syntactic level, that of second-order equational presentations and second-order
algebraic theories; at the semantic level, that of second-order algebras and
second-order functorial models.


title: Martingale Inequalities and Deterministic Counterparts

abstract:
  We study martingale inequalities from an analytic point of view and show that
a general martingale inequality can be reduced to a pair of deterministic
inequalities in a small number of variables. More precisely, the optimal bound
in the martingale inequality is determined by a fixed point of a simple
nonlinear operator involving a concave envelope. Our results yield an
explanation for certain inequalities that arise in mathematical finance in the
context of robust hedging.


title: NA61/SHINE facility at the CERN SPS: beams and detector system

abstract:
  NA61/SHINE (SPS Heavy Ion and Neutrino Experiment) is a multi-purpose
experimental facility to study hadron production in hadron-proton,
hadron-nucleus and nucleus-nucleus collisions at the CERN Super Proton
Synchrotron. It recorded the first physics data with hadron beams in 2009 and
with ion beams (secondary 7Be beams) in 2011.
  NA61/SHINE has greatly profited from the long development of the CERN proton
and ion sources and the accelerator chain as well as the H2 beamline of the
CERN North Area. The latter has recently been modified to also serve as a
fragment separator as needed to produce the Be beams for NA61/SHINE. Numerous
components of the NA61/SHINE set-up were inherited from its predecessors, in
particular, the last one, the NA49 experiment. Important new detectors and
upgrades of the legacy equipment were introduced by the NA61/SHINE
Collaboration.
  This paper describes the state of the NA61/SHINE facility - the beams and the
detector system - before the CERN Long Shutdown I, which started in March 2013.


title: Complexes of C-projective modules

abstract:
  Inspired by a recent work of Buchweitz and Flenner, we show that, for a
semidualizing bimodule $C$, $C$--perfect complexes have the ability to detect
when a ring is strongly regular. It is shown that there exists a class of
modules which admit minimal resolutions of $C$--projective modules.


title: Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits

abstract:
  We make an observation which doubles the exponent of distribution in certain
Affine Sieve problems, such as those considered by Liu-Sarnak, Kontorovich, and
Kontorovich-Oh. As a consequence, we decrease the known bounds on the
saturation numbers in these problems.


title: Vibration multistability and quantum switching for dispersive coupling

abstract:
  We investigate a resonantly modulated harmonic mode, dispersively coupled to
a nonequilibrium few-level quantum system. We focus on the regime where the
relaxation rate of the system greatly exceeds that of the mode, and develop a
quantum adiabatic approach for analyzing the dynamics. Semiclassically, the
dispersive coupling leads to a mutual tuning of the mode and system into and
out of resonance with their modulating fields, leading to multistability. In
the important case where the system has two energy levels and is excited near
resonance, the compound system can have up to three metastable states.
Nonadiabatic quantum fluctuations associated with spontaneous transitions in
the few-level system lead to switching between the metastable states. We
provide parameter estimates for currently available systems.


title: An extension of heat hierarchy

abstract:
  We propose a formally completely integrable extension of heat hierarchy based
on the space of symmetries isomorphic to the Weyl algebra $\mathcal{A}_1$. The
extended heat hierarchy will be the basic model for the analysis of the
extension of KP hierarchy, and other integrable equations.


title:
Propagation of Economic Shocks in Input-Output Networks: A Cross-Country
  Analysis

abstract:
  This paper investigates how economic shocks propagate and amplify through the
input-output network connecting industrial sectors in developed economies. We
study alternative models of diffusion on networks and we calibrate them using
input-output data on real-world inter-sectoral dependencies for several
European countries before the Great Depression. We show that the impact of
economic shocks strongly depends on the nature of the shock and country size.
Shocks that impact on final demand without changing production and the
technological relationships between sectors have on average a large but very
homogeneous impact on the economy. Conversely, when shocks change also the
magnitudes of input-output across-sector interdependencies (and possibly sector
production), the economy is subject to predominantly large but more
heterogeneous avalanche sizes. In this case, we also find that: (i) the more a
sector is globally central in the country network, the largest its impact; (ii)
the largest European countries, such as those constituting the core of the
European Union's economy, typically experience the largest avalanches,
signaling their intrinsic higher vulnerability to economic shocks.


title: Physics Potential of Long-Baseline Experiments

abstract:
  The discovery of neutrino mixing and oscillations over the past decade
provides firm evidence for new physics beyond the Standard Model. Recently,
theta13 has been determined to be moderately large, quite close to its previous
upper bound. This represents a significant milestone in establishing the
three-flavor oscillation picture of neutrinos. It has opened up exciting
prospects for current and future long-baseline neutrino oscillation experiments
towards addressing the remaining fundamental questions, in particular the type
of the neutrino mass hierarchy and the possible presence of a CP-violating
phase. Another recent and crucial development is the indication of non-maximal
2-3 mixing angle, causing the octant ambiguity of theta23. In this paper, I
will review the phenomenology of long-baseline neutrino oscillations with a
special emphasis on sub-leading three-flavor effects, which will play a crucial
role in resolving these unknowns. First, I will give a brief description of
neutrino oscillation phenomenon. Then, I will discuss our present global
understanding of the neutrino mass-mixing parameters and will identify the
major unknowns in this sector. After that, I will present the physics reach of
current generation long-baseline experiments. Finally, I will conclude with a
discussion on the physics capabilities of accelerator-driven possible future
long-baseline precision oscillation facilities.


title: An Autonomous Reference Frame for Relativistic GNSS

abstract:
  Current GNSS systems rely on global reference frames which are fixed to the
Earth (via the ground stations) so their precision and stability in time are
limited by our knowledge of the Earth dynamics. These drawbacks could be
avoided by giving to the constellation of satellites the possibility of
constituting by itself a primary and autonomous positioning system, without any
a priori realization of a terrestrial reference frame. Our work shows that it
is possible to construct such a system, an Autonomous Basis of Coordinates, via
emission coordinates. Here we present the idea of the Autonomous Basis of
Coordinates and its implementation in the perturbed space-time of Earth, where
the motion of satellites, light propagation, and gravitational perturbations
are treated in the formalism of general relativity.


title: The surface charge of a cell lipid membrane

abstract:
  In this paper the problem of surface charge of the lipid membrane immersed in
the physiological solution is considered. It is shown that both side of the
bilayer phospholipid membrane surface are negatively charged. A self-consistent
model of the potential in solution is developed, and a stationary charge
density on the membrane surface is found. It is shown that the ions of the
surface charge are in a relatively deep (as compared to kBT) potential wells,
which are localized near the dipole heads of phospholipid membrane. It makes
impossible for ions to slip along the membrane surface. Simple experiments for
verifying the correctness of the considered model are proposed. A developed
approach can be used for estimations of the surface charges on the outer and
inner membrane of the cell.


title: Fermat test with gaussian base and Gaussian pseudoprimes

abstract:
  The structure of the group $(\mathbb{Z}/n\mathbb{Z})^\star$ and Fermat's
little theorem are the basis for some of best-known primality testing
algorithms. Many related concepts arise: Euler's totient function and
Carmichael's lambda function, Fermat pseudoprimes, Carmichael and cyclic
numbers, Lehmer's totient problem, Giuga's conjecture, etc. In this paper, we
present and study analogues to some of the previous concepts arising when we
consider the underlying group
$\mathcal{G}_n:=\{a+bi\in\mathbb{Z}[i]/n\mathbb{Z}[i] : a^2+b^2\equiv 1\
\textrm{$\pmod n$}\}$. In particular we characterize Gaussian Carmichael
numbers via a Korselt's criterion and we present their relation with Gaussian
cyclic numbers. Finally, we present the relation between Gaussian Carmichael
number and 1-Williams numbers for numbers $n \equiv 3 \pmod{4}$. There are also
no known composite numbers less than $10^{18}$ in this family that are both
pseudoprime to base $1+2i$ and 2-pseudoprime.


title:
Adaptive Power Allocation Strategies using DSTC in Cooperative MIMO
  Networks

abstract:
  Adaptive Power Allocation (PA) algorithms with different criteria for a
cooperative Multiple-Input Multiple-Output (MIMO) network equipped with
Distributed Space-Time Coding (DSTC) are proposed and evaluated. Joint
constrained optimization algorithms to determine the power allocation
parameters, the channel parameters and the receive filter are proposed for each
transmitted stream in each link. Linear receive filter and maximum-likelihood
(ML) detection are considered with Amplify-and-Forward (AF) and
Decode-and-Forward (DF) cooperation strategies. In the proposed algorithms, the
elements in the PA matrices are optimized at the destination node and then
transmitted back to the relay nodes via a feedback channel. The effects of the
feedback errors are considered. Linear MMSE expressions and the PA matrices
depend on each other and are updated iteratively. Stochastic gradient (SG)
algorithms are developed with reduced computational complexity. Simulation
results show that the proposed algorithms obtain significant performance gains
as compared to existing power allocation schemes.


title: Ideals generated by quadrics

abstract:
  Our purpose is to study the cohomological properties of the Rees algebras of
a class of ideals generated by quadrics. For all such ideals $I\subset R =
K[x,y,z]$ we give the precise value of depth $R[It]$ and decide whether the
corresponding rational maps are birational. In the case of dimension $d \geq
3$, when $K=\mathbb{R}$, we give structure theorems for all ideals of
codimension $d$ minimally generated by ${{d+1}\choose{2}}-1$ quadrics. For
arbitrary fields $K$, we prove a polarized version.


title: A new approach to multi-frequency synthesis in radio interferometry

abstract:
  We present a new approach to multi-frequency synthesis in radio astronomy.
Using Bayesian inference techniques, the new technique estimates the sky
brightness and the spectral index simultaneously. In principle, the bandwidth
of a wide-band observation can be fully exploited for sensitivity and
resolution, currently only limited by higher order effects like spectral
curvature. Employing this new approach, we further present a multi-frequency
extension to the imaging algorithm RESOLVE. In simulations, this new algorithm
outperforms current multi-frequency imaging techniques like MS-MF-CLEAN.


title:
Random-bit optimal uniform sampling for rooted planar trees with given
  sequence of degrees and Applications

abstract:
  In this paper, we redesign and simplify an algorithm due to Remy et al. for
the generation of rooted planar trees that satisfies a given partition of
degrees. This new version is now optimal in terms of random bit complexity, up
to a multiplicative constant. We then apply a natural process
"simulate-guess-and-proof" to analyze the height of a random Motzkin in
function of its frequency of unary nodes. When the number of unary nodes
dominates, we prove some unconventional height phenomenon (i.e. outside the
universal square root behaviour.)


title:
Algebraic independence of multipliers of periodic orbits in the space of
  rational maps of the Riemann sphere

abstract:
  We consider the space of degree $n\ge 2$ rational maps of the Riemann sphere
with $k$ distinct marked periodic orbits of given periods. First, we show that
this space is irreducible. For $k=2n-2$ and with some mild restrictions on the
periods of the marked periodic orbits, we show that the multipliers of these
periodic orbits, considered as algebraic functions on the above mentioned
space, are algebraically independent over $\mathbb C$. Equivalently, this means
that at its generic point, the moduli space of degree $n$ rational maps can be
locally parameterized by the multipliers of any $2n-2$ distinct periodic
orbits, satisfying the above mentioned conditions on their periods. This work
extends previous similar result (arXiv:1305.0867) obtained by the author for
the case of complex polynomial maps.


title: Revolutionary Algorithms

abstract:
  The optimization of dynamic problems is both widespread and difficult. When
conducting dynamic optimization, a balance between reinitialization and
computational expense has to be found. There are multiple approaches to this.
In parallel genetic algorithms, multiple sub-populations concurrently try to
optimize a potentially dynamic problem. But as the number of sub-population
increases, their efficiency decreases. Cultural algorithms provide a framework
that has the potential to make optimizations more efficient. But they adapt
slowly to changing environments. We thus suggest a confluence of these
approaches: revolutionary algorithms. These algorithms seek to extend the
evolutionary and cultural aspects of the former to approaches with a notion of
the political. By modeling how belief systems are changed by means of
revolution, these algorithms provide a framework to model and optimize dynamic
problems in an efficient fashion.


title:
Construction of Partial MDS (PMDS) and Sector-Disk (SD) Codes with Two
  Global Parity Symbols

abstract:
  Partial MDS (PMDS) codes are erasure codes combining local (row) correction
with global additional correction of entries, while Sector-Disk (SD) codes are
erasure codes that address the mixed failure mode of current RAID systems. It
has been an open problem to construct general codes that have the PMDS and the
SD properties, and previous work has relied on Monte-Carlo searches. In this
paper, we present a general construction that addresses the case of any number
of failed disks and in addition, two erased sectors. The construction requires
a modest field size. This result generalizes previous constructions extending
RAID~5 and RAID~6.


title: A Novel Admission Control Model in Cloud Computing

abstract:
  With the rapid development of Cloud computing technologies and wide adopt of
Cloud services and applications, QoS provisioning in Clouds becomes an
important research topic. In this paper, we propose an admission control
mechanism for Cloud computing. In particular we consider the high volume of
simultaneous requests for Cloud services and develop admission control for
aggregated traffic flows to address this challenge. By employ network calculus,
we determine effective bandwidth for aggregate flow, which is used for making
admission control decision. In order to improve network resource allocation
while achieving Cloud service QoS, we investigate the relationship between
effective bandwidth and equivalent capacity. We have also conducted extensive
experiments to evaluate performance of the proposed admission control
mechanism.


title: The center of the generic G-crossed product

abstract:
  Let G be a finite group and let F be a field of characteristic zero. In this
paper we construct a generic G-crossed product over F using generic graded
matrices. The center of this generic G-crossed product, denoted by F(G), is
then the invariant field of a suitable G action on a field of rational
functions in several indeterminates. The main goal of this paper is to study
the extensions F(G)/F given that F contains enough roots of unity and determine
how close they are to being purely transcendental.
  In particular we show that F(G)/F is a stably rational extension for $G = C_2
\times C_{2n}$ where n is odd and for $G=<{\sigma},{\tau} | {\sigma}^n =
{\tau}^{2m} = e, {\tau}{\sigma}{\tau}^{-1}={\sigma}^{-1}>$ where $gcd(n, 2m) =
1$. Furthermore, we prove that if H, K are groups of coprime orders, then $F(H
\times K)$ is the fraction field of $F(H) \otimes F(K)$.


title: Bayesian Inference from Non-Ignorable Network Sampling Designs

abstract:
  Consider a population of individuals and a network that encodes social
connections among them. We are interested in making inference on finite
population and super-population estimands that are a function of both
individuals' responses and of the network, from a sample. Neither the sampling
frame nor the network are available. However, the sampling mechanism implicitly
leverages the network to recruit individuals, thus partially revealing social
interactions among the individuals in the sample, as well as their responses.
This is a common setting that arises, for instance, in epidemiology and
healthcare, where samples from hard-to-reach populations are collected using
link-tracing mechanisms, including respondent-driven sampling. In this paper,
we study statistical properties of popular network sampling mechanisms. We
formulate the estimation problem in terms of Rubin's inferential framework to
explicitly account for social network structure. We then identify key modeling
elements that lead to inferences with good frequentist properties when dealing
with data collected through non-ignorable network sampling mechanisms. We
demonstrate these methods on a study of the incidence of HIV in Brazil


title:
Non-equilibrium chemistry and cooling in the diffuse interstellar medium
  - I. Optically thin regime

abstract:
  An accurate treatment of the multiphase interstellar medium (ISM) in
hydrodynamic galaxy simulations requires that we follow not only the thermal
evolution of the gas, but also the evolution of its chemical state, including
its molecular chemistry, without assuming chemical (including ionisation)
equilibrium. We present a reaction network that can be used to solve for this
thermo-chemical evolution. Our model follows the evolution of all ionisation
states of the 11 elements that dominate the cooling rate, along with important
molecules such as H2 and CO, and the intermediate molecular species that are
involved in their formation (20 molecules in total). We include chemical
reactions on dust grains, thermal processes involving dust, cosmic ray
ionisation and heating and photochemical reactions. We focus on conditions
typical for the diffuse ISM, with densities of 10^-2 cm^-3 < nH < 10^4 cm^-3
and temperatures of 10^2 K < T < 10^4 K, and we consider a range of radiation
fields, including no UV radiation. In this paper we consider only gas that is
optically thin, while paper II considers gas that becomes shielded from the
radiation field. We verify the accuracy of our model by comparing chemical
abundances and cooling functions in chemical equilibrium with the
photoionisation code Cloudy. We identify the major coolants in diffuse
interstellar gas to be CII, SiII and FeII, along with OI and H2 at densities nH
> 10^2 cm^-3. Finally, we investigate the impact of non-equilibrium chemistry
on the cooling functions of isochorically or isobarically cooling gas. We find
that, at T < 10^4 K, recombination lags increase the electron abundance above
its equilibrium value at a given temperature, which can enhance the cooling
rate by up to two orders of magnitude. The cooling gas also shows lower H2
abundances than in equilibrium, by up to an order of magnitude.


title:
Computing low-degree factors of lacunary polynomials: a Newton-Puiseux
  approach

abstract:
  We present a new algorithm for the computation of the irreducible factors of
degree at most $d$, with multiplicity, of multivariate lacunary polynomials
over fields of characteristic zero. The algorithm reduces this computation to
the computation of irreducible factors of degree at most $d$ of univariate
lacunary polynomials and to the factorization of low-degree multivariate
polynomials. The reduction runs in time polynomial in the size of the input
polynomial and in $d$. As a result, we obtain a new polynomial-time algorithm
for the computation of low-degree factors, with multiplicity, of multivariate
lacunary polynomials over number fields, but our method also gives partial
results for other fields, such as the fields of $p$-adic numbers or for
absolute or approximate factorization for instance.
  The core of our reduction uses the Newton polygon of the input polynomial,
and its validity is based on the Newton-Puiseux expansion of roots of bivariate
polynomials. In particular, we bound the valuation of $f(X,\phi)$ where $f$ is
a lacunary polynomial and $\phi$ a Puiseux series whose vanishing polynomial
has low degree.


title: Energy Harvesting in M2M and WSN Space

abstract:
  Energy harvesting or power harvesting or energy scavenging is a process where
energy is derived from external sources (e.g. solar power, thermal energy, wind
energy, salinity gradients, kinetic energy etc.), captured, and stored for
small, wireless autonomous devices, like those used in wearable electronics and
wireless sensor networks. This paper is focused to applications of Energy
Harvesting in Wireless Sensor Networks. This is going to help the ever growing
M2M (Machine to Machine) field where there is an exponential growth of
intelligent devices and automatic control of these is of paramount importance.


title:
Pathwise stochastic integrals and It\^o formula for multidimensional
  Gaussian processes

abstract:
  In this article we study existence of pathwise stochastic integrals with
respect to a general class of $n$-dimensional Gaussian processes and a wide
class of adapted integrands. More precisely, we study integrands which are
functions that are of locally bounded variation with respect to all variables.
Moreover, multidimensional It\^o formula is derived.


title: Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit

abstract:
  We use mirror symmetry, quantum geometry and modularity properties of
elliptic curves to calculate the refined free energies in the
Nekrasov-Shatashvili limit on non-compact toric Calabi-Yau manifolds, based on
del Pezzo surfaces. Quantum geometry here is to be understood as a quantum
deformed version of rigid special geometry, which has its origin in the quantum
mechanical behaviour of branes in the topological string B-model. We will argue
that, in the Seiberg-Witten picture, only the Coulomb parameters lead to
quantum corrections, while the mass parameters remain uncorrected. In certain
cases we will also compute the expansion of the free energies at the orbifold
point and the conifold locus. We will compute the quantum corrections order by
order on $\hbar$, by deriving second order differential operators, which act on
the classical periods.


title: Analytic Differential Equations and Spherical Real Hypersurfaces

abstract:
  We establish an injective correspondence $M\longrightarrow\mathcal E(M)$
between real-analytic nonminimal hypersurfaces $M\subset\mathbb{C}^{2}$,
spherical at a generic point, and a class of second order complex ODEs with a
meromorphic singularity. We apply this result to the proof of the bound
$\mbox{dim}\,\mathfrak{hol}(M,p)\leq 5$ for the infinitesimal automorphism
algebra of an \it arbitrary \rm germ $(M,p)\not\sim(S^3,p')$ of a real-analytic
Levi nonflat hypersurface $M\subset\mathbb{C}^2$ (the Dimension Conjecture).
This bound gives the first proof of the dimension gap
$\mbox{dim}\,\mathfrak{hol}(M,p)=\{8,5,4,3,2,1,0\}$ for the dimension of the
automorphism algebra of a real-analytic Levi nonflat hypersurface. As another
application we obtain a new regularity condition for CR-mappings of nonminimal
hypersurfaces, that we call \it Fuchsian type, \rm and prove its optimality for
extension of CR-mappings to nonminimal points. \\ We also obtain an existence
theorem for solutions of a class of singular complex ODEs (Theorem 3.5).


title: Information profiles for DNA pattern discovery

abstract:
  Finite-context modeling is a powerful tool for compressing and hence for
representing DNA sequences. We describe an algorithm to detect genomic
regularities, within a blind discovery strategy. The algorithm uses information
profiles built using suitable combinations of finite-context models. We used
the genome of the fission yeast Schizosaccharomyces pombe strain 972 h- for
illustration, unveilling locations of low information content, which are
usually associated with DNA regions of potential biological interest.


title: A Model for Privacy-enhanced Federated Identity Management

abstract:
  Identity federations operating in a business or consumer context need to
prevent the collection of user data across trust service providers for legal
and business case reasons. Legal reasons are given by data protection
legislation. Other reasons include business owners becoming increasingly aware
of confidentiality risks that go beyond traditional information security, e.g.,
the numbers of authentications to an EDI service might provide insights into
the volume of invoices, from which one could derive insider information. This
paper proposes extended technical controls supporting three privacy
requirements: a) Limit d Linkability: Two service providers cannot link data
related to a user without the help of a third party, using neither an
identifier nor other identifying attributes like email addresses or payment
data; b) Limited Observability: An identity provider cannot trace which
services a user is using without the help of a third party; c) Non-Disclosure:
Attributes provided to the service provider by an attribute provider are not
disclosed to the identity provider or an intermediate service broker. Using a
hub-and-spoke federation style following the privacy-by-design principle, this
reference architecture addresses the privacy controls mentioned above.


title:
The Kovacs effect in the one-dimensional Ising model: a linear response
  analysis

abstract:
  We analyze the so-called Kovacs effect in the one-dimensional Ising model
with Glauber dynamics. We consider small enough temperature jumps, for which a
linear response theory has been recently derived. Within this theory, the
Kovacs hump is directly related to the monotonic relaxation function of the
energy. The analytical results are compared with extensive Monte Carlo
simulations, and an excellent agreement is found. Remarkably, the position of
the maximum in the Kovacs hump depends on the fact that the true asymptotic
behavior of the relaxation function is different from the stretched exponential
describing the relevant part of the relaxation at low temperatures.


title: Galois equivariance and stable motivic homotopy theory

abstract:
  For a finite Galois extension of fields L/k with Galois group G, we study a
functor from the G-equivariant stable homotopy category to the stable motivic
homotopy category over k induced by the classical Galois correspondence. We
show that after completing at a prime and eta (the motivic Hopf map) this
results in a full and faithful embedding whenever k is real closed and L =
k[i]. It is a full and faithful embedding after eta-completion if a motivic
version of Serre's finiteness theorem is valid. We produce strong necessary
conditions on the field extension L/k for this functor to be full and faithful.
Along the way, we produce several results on the stable C_2-equivariant Betti
realization functor and prove convergence theorems for the p-primary
C_2-equivariant Adams spectral sequence.


title: Combinatorial level densities by the real-time method

abstract:
  Levels densities of independent-particle Hamiltonians can be calculated
easily by using the real-time representation of the evolution operator together
with the fast Fourier transform. We describe the method and implement it with a
set of Python programs. Examples are provided for the total and partial levels
densities of a heavy deformed nucleus (Dy-164). The partial level densities
that may be calculated are the projected ones on neutron number, proton number,
azimuthal angular momentum, and parity.


title: Verification of agent knowledge in dynamic access control policies

abstract:
  We develop a modeling technique based on interpreted systems in order to
verify temporal-epistemic properties over access control policies. This
approach enables us to detect information flow vulnerabilities in dynamic
policies by verifying the knowledge of the agents gained by both reading and
reasoning about system information. To overcome the practical limitations of
state explosion in model-checking temporal-epistemic properties, we introduce a
novel abstraction and refinement technique for temporal-epistemic safety
properties in ACTLK (ACTL with knowledge modality K) and a class of interesting
properties that does fall in this category.


title: Universality of actions on $\mathbb HP^2$

abstract:
  We show that any eight-dimensional oriented manifold $M$ possessing smooth
circle action with exactly three fixed points has the same weight system as
some circle action on $\mathbb HP^2$. It follows that Pontryagin numbers and
equivariant cohomology of $M$ coincide to that of $\mathbb HP^2$; if $M$ admits
cellular decomposition of only three cells, it is diffeomorphic to $\mathbb
HP^2$.


title:
Vector bundles on projective varieties whose restriction to ample
  subvarieties split

abstract:
  We systematically study the splitting of vector bundles on a smooth,
projective variety, whose restriction to the zero locus of a regular section of
an ample vector bundle splits.
  First, we find ampleness and genericity conditions which ensure that the
splitting of the vector bundle along the subvariety implies its global
splitting. Second, we obtain a simple splitting criterion for vector bundles on
the Grassmannian and on partial flag varieties.


title: Majorization and Measures of Classical Polarization in Three Dimensions

abstract:
  There has been much discussion in the literature about rival measures of
classical polarization in three dimensions. We gather and compare the various
proposed measures of polarization, creating a geometric representation of the
polarization state space in the process. We use majorization, previously used
in quantum information, as a criterion to establish a partial ordering on the
polarization state space. Using this criterion and other considerations, the
most useful polarization measure in three dimensions is found to be one
dependent on the Bloch vector decomposition of the polarization matrix.


title: Optimal Fractional Repetition Codes based on Graphs and Designs

abstract:
  Fractional repetition (FR) codes is a family of codes for distributed storage
systems that allow for uncoded exact repairs having the minimum repair
bandwidth. However, in contrast to minimum bandwidth regenerating (MBR) codes,
where a random set of a certain size of available nodes is used for a node
repair, the repairs with FR codes are table based. This usually allows to store
more data compared to MBR codes. In this work, we consider bounds on the
fractional repetition capacity, which is the maximum amount of data that can be
stored using an FR code. Optimal FR codes which attain these bounds are
presented. The constructions of these FR codes are based on combinatorial
designs and on families of regular and biregular graphs. These constructions of
FR codes for given parameters raise some interesting questions in graph theory.
These questions and some of their solutions are discussed in this paper. In
addition, based on a connection between FR codes and batch codes, we propose a
new family of codes for DSS, namely fractional repetition batch codes, which
have the properties of batch codes and FR codes simultaneously. These are the
first codes for DSS which allow for uncoded efficient exact repairs and load
balancing which can be performed by several users in parallel. Other concepts
related to FR codes are also discussed.


title: Axioms for Definability and Full Completeness

abstract:
  Axioms are presented which encapsulate the properties satisfied by categories
of games which form the basis of results on full abstraction for PCF and other
programming languages, and on full completeness for various logics and type
theories.
  Axioms are presented on models of PCF from which full abstraction can be
proved. These axioms have been distilled from recent results on definability
and full abstraction of game semantics for a number of programming languages.
Full completeness for pure simply-typed $\lambda$-calculus is also axiomatized.


title: Symbolic generic initial systems of star configurations

abstract:
  The purpose of this note is to describe limiting shapes (as introduced by
Mayes) of symbolic generic initial systems of star configurations in projective
spaces over a field of characteristic 0.


title:
Search for inelastic WIMP nucleus scattering on $^{129}$Xe in data from
  the XMASS-I experiment

abstract:
  A search for inelastic scattering of Weakly Interacting Massive Particles
(WIMPs) on the isotope $^{129}$Xe was done in data taken with the single phase
liquid xenon detector XMASS at the Kamioka Observatory. Using a restricted
volume containing 41 kg of LXe at the very center of our detector we observed
no significant excess of events in 165.9 days of data. Our background reduction
allowed us to derive our limits without explicitly subtracting the remaining
events which are compatible with background expectations and derive for e.g. a
50 GeV WIMP an upper limit for its inelastic cross section on $^{129}$Xe nuclei
of 3.2 pb at the 90% confidence level.

categories: astro-ph.CO hep-ex nucl-ex physics.ins-det


title: Planetary internal structures

abstract:
  This chapter reviews the most recent advancements on the topic of terrestrial
and giant planet interiors, including Solar System and extrasolar objects.
Starting from an observed mass-radius diagram for known planets in the
Universe, we will discuss the various types of planets appearing in this
diagram and describe internal structures for each type. The review will
summarize the status of theoretical and experimental works performed in the
field of equation of states (EOS) for materials relevant to planetary interiors
and will address the main theoretical and experimental uncertainties and
challenges. It will discuss the impact of new EOS on interior structures and
bulk composition determination. We will discuss important dynamical processes
which strongly impact the interior and evolutionary properties of planets (e.g
plate tectonics, semiconvection) and describe non standard models recently
suggested for our giant planets. We will address the case of short-period,
strongly irradiated exoplanets and critically analyse some of the physical
mechanisms which have been suggested to explain their anomalously large radius.


title: Finding minimum Tucker submatrices

abstract:
  A binary matrix has the Consecutive Ones Property (C1P) if its columns can be
ordered in such a way that all 1s on each row are consecutive. These matrices
are used for DNA physical mapping and ancestral genome reconstruction in
computational biology on the other hand they represents a class of convex
bipartite graphs and are of interest of algorithm graph theory researchers.
Tucker gave a forbidden submartices characterization of matrices that have C1P
property in 1972. Booth and Lucker (1976) gave a first linear time recognition
algorithm for matrices with C1P property and then in 2002, Habib, et al. gave a
simpler linear time recognition algorithm. There has been substantial amount of
works on efficiently finding minimum size forbidden submatrix. Our algorithm is
at least $n$ times faster than the existing algorithm where $n$ is the number
of columns of the input matrix.


title: Generalization of the PageRank Model

abstract:
  This paper develops a generalization of the PageRank model of page
centralities in the global webgraph of hyperlinks. The webgraph of adjacencies
is generalized to a valued directed graph, and the scalar dampening coefficient
for walks through the graph is relaxed to allow for heterogeneous values. A
visitation count approach may be employed to apply the more general model,
based on the number of visits to a page and the page's proportionate
allocations of these visits to other nodes of the webgraph.


title:
Scattering Resonances of Convex Obstacles for general boundary
  conditions

abstract:
  We study the distribution of resonances for smooth strictly convex obstacles
under general boundary conditions. We show that under a pinched curvature
condition for the boundary of the obstacle, the resonances are separated into
cubic bands and the distribution in each bands satisfies Weyl's law.


title: Early Type Galaxy Core Phase Densities

abstract:
  Early type galaxies have projected central density brightness profile
logarithmic slopes, gamma^prime, ranging from about 0 to 1. We show that
gamma^prime is strongly correlated, r= 0.83, with the coarse grain phase
density of the galaxy core, Q_0 = rho/sigma^3. The gamma^prime-luminosity
correlation is much weaker, r= -0.5. Q_0 also serves to separate the
distribution of power-law profiles, gamma^prime>0.5 from nearly flat profiles,
gamma^prime<0.3, although there are many galaxies of intermediate slope, at
intermediate $Q_0$, in a volume limited sample. The transition phase density
separating the two profile types is approximately 0.003, which is also where
the relation between Q_0 and core mass shows a change in slope, the rotation
rate of the central part of the galaxy increases, and the ratio of the black
hole to core mass increases. These relations are considered relative to the
globular cluster inspiral core buildup and binary black hole core scouring
mechanisms for core creation and evolution. Globular cluster inspiral models
have quantitative predictions that the data support, but no single model yet
completely explains the correlations.


title: Straight Line motion with rigid sets

abstract:
  If one is given a rigid triangle in the plane or space, we show that the only
motion possible, where each vertex of the triangle moves along a straight line,
is given by a hypocycloid line drawer in the plane, and a natural extension in
three-space. Each point lies on a circle which rolls around, without slipping,
inside a larger circle of twice its diameter.


title: Sparse interpolation over finite fields via low-order roots of unity

abstract:
  We present a new Monte Carlo algorithm for the interpolation of a
straight-line program as a sparse polynomial $f$ over an arbitrary finite field
of size $q$. We assume a priori bounds $D$ and $T$ are given on the degree and
number of terms of $f$. The approach presented in this paper is a hybrid of the
diversified and recursive interpolation algorithms, the two previous fastest
known probabilistic methods for this problem. By making effective use of the
information contained in the coefficients themselves, this new algorithm
improves on the bit complexity of previous methods by a "soft-Oh" factor of
$T$, $\log D$, or $\log q$.


title:
Numerical Study of the semiclassical limit of the Davey-Stewartson II
  equations

abstract:
  We present the first detailed numerical study of the semiclassical limit of
the Davey-Stewartson II equations both for the focusing and the defocusing
variant. We concentrate on rapidly decreasing initial data with a single hump.
The formal limit of these equations for vanishing semiclassical parameter
$\epsilon$, the semiclassical equations, are numerically integrated up to the
formation of a shock. The use of parallelized algorithms allows to determine
the critical time $t_{c}$ and the critical solution for these $2+1$-dimensional
shocks. It is shown that the solutions generically break in isolated points
similarly to the case of the $1+1$-dimensional cubic nonlinear Schr\"odinger
equation, i.e., cubic singularities in the defocusing case and square root
singularities in the focusing case. For small values of $\epsilon$, the full
Davey-Stewartson II equations are integrated for the same initial data up to
the critical time $t_{c}$. The scaling in $\epsilon$ of the difference between
these solutions is found to be the same as in the $1+1$ dimensional case,
proportional to $\epsilon^{2/7}$ for the defocusing case and proportional to
$\epsilon^{2/5}$ in the focusing case. We document the Davey-Stewartson II
solutions for small $\epsilon$ for times much larger than the critical time
$t_{c}$. It is shown that zones of rapid modulated oscillations are formed near
the shocks of the solutions to the semiclassical equations. For smaller
$\epsilon$, the oscillatory zones become smaller and more sharply delimited to
lens shaped regions. Rapid oscillations are also found in the focusing case for
initial data where the singularities of the solution to the semiclassical
equations do not coincide.


title:
Effect of the fluctuations around mean field for N-body systems with
  long range interactions

abstract:
  We study the effect of Chandrasekhar and Holstmark's distribution of field
fluctuations on the dynamics of N-body systems interacting via Coulomb or
Newton gravitational force. We develop an approach based on statistical
dynamics first principles whose mathematical framework is similar to the one
used by Chandrasekhar and Holstmark for their field fluctuation theory. We use
the Picard iteration method to approximate the Hamiltonian dynamics in the
short time limit. Neglecting correlations between particles, carrying the
thermodynamic limit and assuming that the system is spatially homogeneous, we
find a fractional kinetic equation for the velocity distribution. Both, the
fractional derivative order and the asymptotic behavior of the solution appear
to be directly connected to the $1/r^2$ behavior of the Coulombian or
gravitational interaction force over short distances.


title:
Ipotesi astronomiche sul foro della colonna augustea di Santa Maria in
  Aracoeli

abstract:
  The third column of the left row in the Basilica of Santa Maria in Aracoeli
in Rome, has a hole carved in it, of probable astronomical use. The tube aims
at a point a 116 degrees of azimut, East-South-East and 17.3 degrees of
altitude, the Sun could be aimed in that direction at 07:00 UTC of 12 october
and 7:25 UT of march 2, but the view is obstructed by the church's building.
Same situation for the 3.9 magnitude alpha Monocerotis, visible 2000 years ago,
taking into account the precession. Other hypotheses on the meridian
astronomical use of this hole are here reviewed. In the case of solar
observations it cannot be for meridian transits in Rome, since the lower
transits occurs now at 24.5 degrees at winter solstice; we investigate the case
of stellar transits, of declination 30.8 degrees South. Many alignments are
possible leaving the azimut as free parameter, being the columun not in its
original collocation, but here we investigate only the meridian transits, and
no bright stars could have been seen through that hole, taking also into
account the precession 2000 years ago. We conclude that this hole was probably
not used for meridian observations.


title: On 4-Dimensional J-Invariant Shrinking Ricci Solitons

abstract:
  As of today, there are very few known complete shrinking Ricci solitons in
dimension 4, and all examples discovered so far are K\"ahler and/or Einstein.
In this note, we prove that any four dimensional J-invariant gradient shrinking
Ricci solitons satisfy a differential form identity relating K\"ahlerity annd
Einstein-ness.


title: Congruence and Metrical Invariants of Zonotopes

abstract:
  Zonotopes are studied from the point of view of central symmetry and how
volumes of facets and the angles between them determine a zonotope uniquely.
New proofs are given for theorems of Shephard and McMullen characterizing a
zonotope by the central symmetry of faces of a fixed dimension. When a zonotope
is regarded as the Minkowski sum of line segments determined by the columns of
a defining matrix, the product of the transpose of that matrix and the matrix
acts as a shape matrix containing information about the edges of the zonotope
and the angles between them. Congruence between zonotopes is determined by
equality of shape matrices. This condition is used, together with volume
computations for zonotopes and their facets, to obtain results about rigidity
and about the uniqueness of a zonotope given arbitrary normal-vector and
facet-volume data. These provide direct proofs in the case of zonotopes of more
general theorems of Alexandrov on the rigidity of convex polytopes, and
Minkowski on the uniqueness of convex polytopes given certain normal-vector and
facet-volume data. For a zonotope, this information is encoded in the
next-to-highest exterior power of the defining matrix.


title:
How Much Frequency Can Be Reused in 5G Cellular Networks---A Matrix
  Graph Model

abstract:
  The 5th Generation cellular network may have the key feature of smaller cell
size and denser resource employment, resulted from diminishing resource and
increasing communication demands. However, small cell may result in high
interference between cells. Moreover, the random geographic patterns of small
cell networks make them hard to analyze, at least excluding schemes in the
well-accepted hexagonal grid model. In this paper, a new model---the matrix
graph is proposed which takes advantage of the small cell size and high
inter-cell interference to reduce computation complexity. This model can
simulate real world networks accurately and offers convenience in frequency
allocation problems which are usually NP-complete. An algorithm dealing with
this model is also given, which asymptotically achieves the theoretical limit
of frequency allocation, and has a complexity which decreases with cell size
and grows linearly with the network size. This new model is specifically
proposed to characterize the next-generation cellular networks.


title: Area of triangles associated with a curve

abstract:
  It is well known that the area $U$ of the triangle formed by three tangents
to a parabola $X$ is half of the area $T$ of the triangle formed by joining
their points of contact. In this article, we study some properties of $U$ and
$T$ for strictly convex plane curves. As a result, we establish a
characterization for parabolas.


title: Darboux transformations and random point processes

abstract:
  In this paper we describe a general method to derive formulas relating the
gap probability of some classical determinantal random point process (Airy,
Pearcey and Hermite) with the gap probability of the processes related to the
same kernels with "wanderers", "inliers" and "outliers". In this way, we
generalize the Painlev\'e-like formula found by Baik for the Baik-Ben
Arous-P\'ech\'e distribution to many different cases, both in the one and
multi-time case. The method is not ad-hoc and relies upon the notion of
discrete Schlesinger transformations for Riemann-Hilbert problems.


title:
Multi-Branch Tomlinson-Harashima Precoding for MU-MIMO Systems: Theory
  and Algorithms

abstract:
  Tomlinson-Harashima precoding (THP) is a nonlinear processing technique
employed at the transmit side and is a dual to the successive interference
cancelation (SIC) detection at the receive side. Like SIC detection, the
performance of THP strongly depends on the ordering of the precoded symbols.
The optimal ordering algorithm, however, is impractical for multiuser MIMO
(MU-MIMO) systems with multiple receive antennas due to the fact that the users
are geographically distributed. In this paper, we propose a multi-branch THP
(MB-THP) scheme and algorithms that employ multiple transmit processing and
ordering strategies along with a selection scheme to mitigate interference in
MU-MIMO systems. Two types of multi-branch THP (MB-THP) structures are
proposed. The first one employs a decentralized strategy with diagonal weighted
filters at the receivers of the users and the second uses a diagonal weighted
filter at the transmitter. The MB-MMSE-THP algorithms are also derived based on
an extended system model with the aid of an LQ decomposition, which is much
simpler compared to the conventional MMSE-THP algorithms. Simulation results
show that a better bit error rate (BER) performance can be achieved by the
proposed MB-MMSE-THP precoder with a small computational complexity increase.


title:
Linear Quadratic Stochastic Differential Games: Open-Loop and
  Closed-Loop Saddle Points

abstract:
  In this paper, we consider a linear quadratic stochastic two-person zero-sum
differential game. The controls for both players are allowed to appear in both
drift and diffusion of the state equation. The weighting matrices in the
performance functional are not assumed to be definite/non-singular. A necessary
and sufficient condition for the existence of a closed-loop saddle point is
established in terms of the solvability of a Riccati differential equation with
certain regularity. It is possible that the closed-loop saddle point fails to
exist, and at the same time, the corresponding Riccati equation admits a
solution (which does not have needed regularity). Also, we will indicate that
the solution of the Riccati equation may be non-unique.


title:
Nonlinear Generalized Functions: their origin, some developments and
  recent advances

abstract:
  We expose some simple facts at the interplay between mathematics and the real
world, putting in evidence mathematical objects " nonlinear generalized
functions" that are needed to model the real world, which appear to have been
generally neglected up to now by mathematicians. Then we describe how a
"nonlinear theory of generalized functions" was obtained inside the Leopoldo
Nachbin group of infinite dimensional holomorphy between 1980 and 1985. This
new theory permits to multiply arbitrary distributions and contains the above
mathematical objects, which shows that the features of this theory are natural
and unavoidable for a mathematical description of the real world. Finally we
present direct applications of the theory such as existence-uniqueness for
systems of PDEs without classical solutions and calculations of shock waves for
systems in non-divergence form done between 1985 and 1995, for which we give
three examples of different nature: elasticity, cosmology, multifluid flows.


title:
Constraints on Two Active Galactic Nuclei in the Merger Remnant COSMOS
  J100043.15+020637.2

abstract:
  COSMOS J100043.15+020637.2 is a merger remnant at z = 0.36 with two optical
nuclei, NW and SE, offset by 500 mas (2.5 kpc). Prior studies suggest two
competing scenarios for these nuclei: (1) SE is an active galactic nucleus
(AGN) lost from NW due to a gravitational-wave recoil. (2) NW and SE each
contain an AGN, signaling a gravitational-slingshot recoil or inspiralling
AGNs. We present new images from the Very Large Array (VLA) at a frequency nu =
9.0 GHz and a FWHM resolution theta = 320 mas (1.6 kpc), and the Very Long
Baseline Array (VLBA) at nu = 1.52 GHz and theta = 15 mas (75 pc). The VLA
imaging is sensitive to emission driven by AGNs and/or star formation, while
the VLBA imaging is sensitive only to AGN-driven emission. No radio emission is
detected at these frequencies. Folding in prior results, we find: (a) The
properties of SE and its adjacent X-ray feature resemble those of the
unobscured AGN in NGC 4151, albeit with a much higher narrow emission-line
luminosity. (b) The properties of NW are consistent with it hosting a
Compton-thick AGN that warms ambient dust, photoionizes narrow emission-line
gas and is free-free absorbed by that gas. Finding (a) is consistent with
scenarios (1) and (2). Finding (b) weakens the case for scenario (1) and
strengthens the case for scenario (2). Follow-up observations are suggested.


title: Topological excitations in a Kagom\'e magnet

abstract:
  It is shown here that a Kagom\'e magnet, with Heisenberg and
Dzyaloshinskii-Moriya interactions causes non trivial topological and chiral
magnetic properties. Chirality---that is, left or right handedness---is a very
important concept in a broad range of scientific areas, and particularly, in
condensed matter physics. Inversion symmetry breaking relates chirality with
skyrmions, that are protected field configurations with particle-like and
topological properties. Here, the reported numerical simulations and
theoretical considerations reveal that the magnetic excitations of the Kagom\'e
magnet can both be of regular bulk magnon character, as well as, having a
non-trivial topological nature. We also find that under special circumstances,
skyrmions emerge as excitations, having stability even at room temperature.
Chiral magnonic edge states of a Kagom\'e magnet offer, in addition, a
promising way to create, control and manipulate skyrmions. This has potential
for applications in spintronics, magnonics and skyrmionics, i.e., for
information storage or as logic devices based on the transportation and control
of these particles. Collisions between these particle-like excitations are
found to be elastic in the skyrmion-skyrmion channel, albeit without
mass-conservation for an individual skyrmion. Skyrmion-antiskyrmion collisions
are found to be more complex, where annihilation and creation of these objects
have a distinct non-local nature.


abstract:
  We propose a low-cost robotic optical survey aimed at $1-300$ m Near Earth
Objects (NEO) based on four state-of-the-art telescopes having extremely wide
field of view. The small Near-Earth Asteroids (NEA) represent a potential risk
but also easily accessible space resources for future robotic or human space
in-situ exploration, or commercial activities. The survey system will be
optimized for the detection of fast moving - trailed - asteroids, space debris
and will provide real-time alert notifications. The expected cost of the system
including 1-year development and 2-year operation is 1,000,000 EUR. The
successful demonstration of the system will promote cost-efficient ADAM-WFS
(Automatic Detection of Asteroids and Meteoroids - A Wide Field Survey) systems
to be built around the world.


title: Projective bundles over small covers and topological triviality problem

abstract:
  This paper investigates the projectivization of real vector bundles over
small covers. We first give a necessary and sufficient condition for such a
projectivization to be a small cover. Then associated with moment-angle
manifolds, we further study the structure of such a projectivization as a small
cover. As an application, we characterize the real projective bundles over
2-dimensional small covers by interpreting the fibre sum operation to some
combinatorial operation. Finally, we study when the projectivization of Whitney
sum of the tautological line bundle and the tangent bundle over real projective
space is diffeomorphic to the product of two real projective spaces.


title: Measurement of the Pion Polarizability at COMPASS

abstract:
  The value of the pion polarizability is predicted with high precision by
Chiral Perturbation Theory. However, the existing experimental values are at
tension with this prediction as well as among themselves. The COMPASS
experiment at the CERN SPS accesses pion-photon reactions via the Primakoff
effect, where high-energetic pions react with the quasi-real photon field
surrounding the target nuclei. Flagship channel is the Primakoff reaction in
which a single real photon is produced, giving access to pion Compton
scattering. Using this process the pion polarizability is extracted from the
measured cross-section shape. End of 2009 COMPASS performed a measurement of
the pion polarizability using a nickel target. The large amount of data
collected in combination with the possibility to study systematic effects using
the analogous reaction with a muon beam, the most precise experimental value to
date was determined.


title:
Simulations of Accretion onto Magnetized Stars: Results of 3D MHD
  Simulations and 3D Radiative Transfer

abstract:
  We discuss the results of modelling of young magnetized stars, where matter
flow is calculated using the three-dimensional (3D) magneto-hydrodynamic (MHD)
"Cubed Sphere" code, and the spectra are calculated using the 3D Monte Carlo
radiative transfer code "TORUS". Two examples of modelling are shown: (1)
accretion onto stars in stable and unstable regimes, and (2) accretion to a
young star V2129 Oph, modelled with realistic parameters.


title:
The 2D metal-insulator transition as a strong localization induced
  crossover phenomenon

abstract:
  Low-disorder and high-mobility 2D electron (or hole) systems undergo an
apparent metal-insulator-transition (MIT) at low temperatures as the carrier
density (n) is varied. In some situations, the 2D MIT can be caused at a fixed
low carrier density by changing an externally applied in-plane magnetic field
parallel to the 2D layer. d\rho/dT changes its sign at some nonuniversal
sample-dependent critical carrier density n_c separating an effective 2D metal
(d\rho/dT >0) for n>n_c from an effective 2D insulator (d\rho/dT<0) for n<n_c.
We study the 2D MIT phenomenon as a possible strong localization induced
crossover process controlled by the Ioffe-Regel criterion, k_F l=1. Calculating
the quantum mean free path (l) in the effective metallic phase from a realistic
transport theory including disorder scattering effects, we solve the integral
equation defined by the Ioffe-Regel criterion to obtain the nonuniversal
critical density n_c as a function of the applicable physical experimental
parameters including disorder strength, in-plane magnetic field, spin and
valley degeneracy, background dielectric constant and carrier effective mass,
and temperature. The key physics underlying the nonuniversal parameter
dependence of the n_c is the temperature and density dependence of the Coulomb
disorder. Our calculated results for the crossover n_c appear to be in
qualitative and semi-quantitative agreement with the available experimental
data in different 2D semiconductor systems lending credence to the possibility
that the apparent 2D MIT signals the onset of the strong localization crossover
in disordered 2D systems. We provide some results for graphene where a
low-temperature 2D MIT becomes possible in the presence of intervalley
scattering. We also provide an extensive comparison with the theoretical
results obtained on the basis of 2D MIT being considered as a percolation
transition.


title: Cosmological constraints on mirror matter parameters

abstract:
  Up-to-date estimates of the cosmological parameters are presented as a result
of numerical simulations of cosmic microwave background and large scale
structure, considering a flat Universe in which the dark matter is made
entirely or partly of mirror matter, and the primordial perturbations are
scalar adiabatic and in linear regime. A statistical analysis using the Markov
Chain Monte Carlo method allows to obtain constraints of the cosmological
parameters. As a result, we show that a Universe with pure mirror dark matter
is statistically equivalent to the case of an admixture with cold dark matter.
The upper limits for the ratio of the temperatures of ordinary and mirror
sectors are around 0.3 for both the cosmological models, that show the presence
of a dominant fraction of mirror matter, $0.06 \lesssim \Omega_{\rm mirror} h^2
\lesssim 0.12$.


title:
GPA: A statistical approach to prioritizing GWAS results by integrating
  pleiotropy information and annotation data

abstract:
  Genome-wide association studies (GWAS) suggests that a complex disease is
typically affected by many genetic variants with small or moderate effects.
Identification of these risk variants remains to be a very challenging problem.
Traditional approaches focusing on a single GWAS dataset alone ignore relevant
information that could potentially improve our ability to detect these
variants. We proposed a novel statistical approach, named GPA, to performing
integrative analysis of multiple GWAS datasets and functional annotations.
Hypothesis testing procedures were developed to facilitate statistical
inference of pleiotropy and enrichment of functional annotation. We applied our
approach to perform systematic analysis of five psychiatric disorders. Not only
did GPA identify many weak signals missed by the original single phenotype
analysis, but also revealed interesting genetic architectures of these
disorders. We also applied GPA to the bladder cancer GWAS data with the ENCODE
DNase-seq data from 125 cell lines and showed that GPA can detect cell lines
that are more biologically relevant to the phenotype of interest.


title:
Possible effects of the large extra dimensions on $ZZW$ production at
  the LHC

abstract:
  We investigate the possible large extra dimensions (LED) effects induced by
the Kaluza-Klein gravitons up to the QCD next-to-leading order (NLO) on $ZZW$
production at the large hadron collider (LHC). The integrated cross sections
and some kinematic distributions are presented in both the standard model (SM)
and the LED model. The numerical results demonstrate that the NLO QCD
corrections are sizeable and remarkably reduce the leading order (LO) LED
effect depending strongly on the phase space. The NLO LED relative
discrepancies of the total cross section could become sizable for the $ZZW$
production, if we apply proper event selection criteria. We find that the LO
result overestimates the LED effect and is insufficient to provide a believable
theoretical prediction.


title:
The radial defocusing nonlinear Schr\"odinger equation in three space
  dimensions

abstract:
  We study the defocusing nonlinear Schr\"odinger equation in three space
dimensions. We prove that any radial solution that remains bounded in the
critical Sobolev space must be global and scatter. In the energy-supercritical
setting, we employ a space-localized Lin--Strauss Morawetz inequality of
Bourgain. In the inter-critical regime, we prove long-time Strichartz estimates
and frequency-localized Lin--Strauss Morawetz inequalities.


title:
Hilbert-space factorization is a limited and expensive
  information-processing resource

abstract:
  By taking the need for quantum reference frames into account, it is shown
that Hilbert-space factorization is a dissipative process requiring on the
order of kT to reduce by one bit an observer's uncertainty in the provenance of
a classically-recorded observational outcome. This cost is neglected in
standard treatments of decoherence that assume that observational outcomes are
obtained by interacting with a collection of degrees of freedom identified a
priori. Treating this cost explicitly leads to a natural measure of the
probability of any particular quantum reference frame.


title:
Low-loss, silicon integrated, aluminum nitride photonic circuits and
  their use for electro-optic signal processing

abstract:
  Photonic miniaturization requires seamless integration of linear and
nonlinear optical components to achieve passive and active functions
simultaneously. Among the available material systems, silicon photonics holds
immense promise for optical signal processing and on-chip optical networks.
However, silicon is limited to wavelengths above 1100 nm and does not provide
the desired lowest order optical nonlinearity for active signal processing.
Here we report the integration of aluminum nitride (AlN) films on silicon
substrates to bring active functionalities to chip-scale photonics. Using
CMOS-compatible sputtered thin films we fabricate AlN-on-insulator waveguides
that exhibit low propagation loss (0.6 dB/cm). Exploiting AlN's inherent
Pockels effect we demonstrate electro-optic modulation up to 4.5 Gb/s with very
low energy consumption (down to 10 fJ/bit). The ultra-wide transparency window
of AlN devices also enables high speed modulation at visible wavelengths. Our
low cost, wideband, carrier-free photonic circuits hold promise for ultra-low
power and high speed signal processing at the microprocessor chip level.


title:
Variable Screenings in Binary Response Regressions with Multivariate
  Normal Predictors

abstract:
  Screening before model building is a reasonable strategy to reduce the
dimension of regression problems. Sure independence screening is an efficient
approach to this purpose. It applies the slope estimate of a simple linear
regression as a surrogate measure of the association between the response and
the predictor so that the final model can be built by those predictors with
steep slopes. However, if the response is truly affected by a nontrivial linear
combination of some predictors then the simple linear regression model is a
misspecified model. In this work, we investigate the performance of the sure
independence screening in the view of model misspecification for binary
response regressions. Both maximum likelihood screening and least square
screening are studied with the assumption that predictors follow multivariate
normal distribution and the true and the working link function belong to a
class of scale mixtures of normal distributions.


title: Opinion Exchange Dynamics

abstract:
  We survey a range of models of opinion exchange. From the introduction: "The
exchange of opinions between individuals is a fundamental social interaction...
Moreover, many models in this field are an excellent playground for
mathematicians, especially those working in probability, algorithms and
combinatorics. The goal of this survey is to introduce such models to
mathematicians, and especially to those working in discrete mathematics,
information theory, optimization, probability and statistics."


title: SWIR Investigation of sites of astrobiological interest

abstract:
  Rover missions to the rocky bodies of the Solar System and especially to Mars
require light- weight, portable instruments that use minimal power, require no
sample preparation, and provide suitably diagnostic mineralogical information
to an Earth-based exploration team. Short-wave infrared (SWIR) spectroscopic
instruments such as the Portable Infrared Mineral Analyser (PIMA, Integrated
Spectronics Pty Ltd., Baulkham Hills, NSW, Australia) fulfill all these
requirements. We describe an investigation of a possible Mars analogue site
using a PIMA instrument. A survey was carried out on the Strelley Pool Chert,
an outcrop of stro- matolitic, silicified Archean carbonate and clastic
succession in the Pilbara Craton, interpreted as being modified by hydrothermal
processes. The results of this study demonstrate the ca- pability of SWIR
techniques to add significantly to the geological interpretation of such hy-
drothermally altered outcrops. Minerals identified include dolomite, white
micas such as il- lite-muscovite, and chlorite. In addition, the detection of
pyrophyllite in a bleached and altered unit directly beneath the succession
suggests acidic, sulfur-rich hydrothermal activity may have interacted with the
silicified sediments of the Strelley Pool Chert.


title:
Orbispaces and their Mapping Spaces via Groupoids: A Categorical
  Approach

abstract:
  In this paper, we give an accessible introduction to the theory of orbispaces
via groupoids. We define a certain class of topological groupoids, which we
call orbigroupoids. Each orbigroupoid represents an orbispace, but just as with
orbifolds and Lie groupoids, this representation is not unique: orbispaces are
Morita equivalence classes of orbigroupoids. We show how to formalize this
equivalence by defining the category of orbispaces as a bicatecory of fractions
from the category of orbigroupoids. We focus particularly on laying the
groundwork for future work in creating mapping objects for orbispaces which are
themselves orbispaces, and providing a concrete description of how this mapping
space construction will get its orbispace structure. Throughout this paper, we
illustrate our definitions and results with numerous examples which we hope
will be useful in seeing how the categorical point of view is used to study
these spaces.


title:
Photonic crystal dumbbell resonators in silicon and aluminum nitride
  integrated optical circuits

abstract:
  Tight confinement of light in photonic cavities provides an efficient
template for the realization of high optical intensity with strong field
gradients. Here we present such a nanoscale resonator device based on a
one-dimensional photonic crystal slot cavity. Our design allows for realizing
highly localized optical modes with theoretically predicted Q factors in excess
of 106. The design is demonstrated experimentally both in a high-contrast
refractive index system (silicon), as well as in medium refractive index
contrast devices made from aluminum nitride. We achieve extinction ratio of
21dB in critically coupled resonators using an on-chip readout platform with
loaded Q factors up to 33,000. Our approach holds promise for realizing
ultra-small opto-mechanical resonators for high-frequency operation and sensing
applications.


title: Extreme point inequalities and geometry of the rank sparsity ball

abstract:
  We investigate geometric features of the unit ball corresponding to the sum
of the nuclear norm of a matrix and the $l_1$ norm of its entries --- a common
penalty function encouraging joint low rank and high sparsity. As a byproduct
of this effort, we develop a calculus (or algebra) of faces for general convex
functions, yielding a simple and unified approach for deriving inequalities
balancing the various features of the optimization problem at hand, at the
extreme points of the solution set.


title: A note on the $luc-$compactification of locally compact groups

abstract:
  Let $G$ be a locally compact non-compact topological group. We show that
$G^{luc}$ ($G^*$) is an F-space if and only if $G$ is a discrete group.