title: On group topologies determined by families of sets

abstract:
  Let $G$ be an abelian group, and $F$ a downward directed family of subsets of
$G$. The finest topology $\mathcal{T}$ on $G$ under which $F$ converges to $0$
has been described by I.Protasov and E.Zelenyuk. In particular, their
description yields a criterion for $\mathcal{T}$ to be Hausdorff. They then
show that if $F$ is the filter of cofinite subsets of a countable subset
$X\subseteq G$, there is a simpler criterion: $\mathcal{T}$ is Hausdorff if and
only if for every $g\in G-\{0\}$ and positive integer $n$, there is an $S\in F$
such that $g$ does not lie in the n-fold sum $n(S\cup\{0\}\cup-S)$.
  In this note, their proof is adapted to a larger class of families $F$. In
particular, if $X$ is any infinite subset of $G$, $\kappa$ any regular infinite
cardinal $\leq\mathrm{card}(X)$, and $F$ the set of complements in $X$ of
subsets of cardinality $<\kappa$, then the above criterion holds.
  We then give some negative examples, including a countable downward directed
set $F$ of subsets of $\mathbb{Z}$ not of the above sort which satisfies the
"$g\notin n(S\cup\{0\}\cup-S)$" condition, but does not induce a Hausdorff
topology.
  We end with a version of our main result for noncommutative $G$.


title: Convergence of Rare Events Point Processes to the Poisson for billiards

abstract:
  We show that for planar dispersing billiards the return times distribution
is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB
measure. Since the Poincar\'e return map is piecewise smooth but becomes
singular at the boundaries of the partition elements, recent results on the
limiting distribution of return times cannot be applied as they require the
maps to have bounded second derivatives everywhere. We first prove the Poisson
limiting distribution assuming exponentially decaying correlations. For the
case when the correlations decay polynomially, we induce on a subset on which
the induced map has exponentially decaying correlations. We then prove a
general theorem according to which the limiting return times statistics of the
original map and the induced map are the same.


title: Over-the-air Signaling in Cellular Networks: An Overview

abstract:
  To improve the capacity and coverage of current cellular networks, many
advanced technologies such as massive MIMO, inter-cell coordination, small
cells, device-to-device communications, and so on, are under studying. Many
proposed techniques have been shown to offer significant performance
improvement. Thus, the enabler of those techniques is of great importance. That
is the necessary signaling which guarantee the operation of those techniques.
The design and transmission of those signaling, especially the over-the-air
(OTA) signaling, is challenging. In this article, we provide an overview of the
OTA signaling in cellular networks to provide insights on the design of OTA
signaling. Specifically, we first give a brief introduction of the OTA
signaling in long term evolution (LTE), and then we discuss the challenges and
requirements in designing the OTA signaling in cellular networks in detail. To
better understand the OTA signaling, we give two important classifications of
OTA signaling and address their properties and applications. Finally, we
propose a signature-based signaling named (single-tone signaling, STS) which
can be used for inter-cell OTA signaling and is especially useful and robust in
multi-signal scenario. Simulation results are given to compare the detection
performance of different OTA signaling.


title:
MIMO Broadcast Channel with an Unknown Eavesdropper: Secrecy Degrees of
  Freedom

abstract:
  We study a multi-antenna broadcast channel with two legitimate receivers and
an external eavesdropper. We assume that the channel matrix of the eavesdropper
is unknown to the legitimate terminals but satisfies a maximum rank constraint.
As our main result we characterize the associated secrecy degrees of freedom
for the broadcast channel with common and private messages. We show that a
direct extension of the single-user wiretap codebook does not achieve the
secrecy degrees of freedom. Our proposed optimal scheme involves decomposing
the signal space into a common subspace, which can be observed by both
receivers, and private subspaces which can be observed by only one of the
receivers, and carefully transmitting a subset of messages in each subspace. We
also consider the case when each user's private message must additionally
remain confidential from the other legitimate receiver and characterize the
s.d.o.f.\ region in this case.


title:
Spectroscopic studies on the electronic and magnetic states of Co-doped
  perovskite manganite Pr0.8Ca0.2Mn1-yCoyO3 thin films

abstract:
  We have investigated the electronic and magnetic properties of Co-doped
Pr0.8Ca0.2MnO3 thin films using various spectroscopic techniques. X-ray
absorption and hard x-ray photoemission spectroscopy revealed that the
substituted Co ions are in the divalent state, resulting in hole doping on the
Mn atoms. Studies of element-selective magnetic properties by x-ray magnetic
circular dichroism found a large orbital magnetic moment for the Co ions. These
spectroscopic studies reveal that the substituted Co ions play several roles of
hole doping for Mn, ferromagnetic superexchange coupling between the Co2+ and
Mn4+ ions, and orbital magnetism of the Co2+ ions. Competition among these
complex interactions produces the unique electronic and magnetic behaviors
including enhanced coercivity of the Co-doped Pr0.8Ca0.2MnO3.


title:
Pre-perihelion photometric behavior of comet C/2012 S1 (ISON) and its
  future prospect

abstract:
  Comet C/2012 S1 (ISON) shows strange photometric behavior compared to many
past comets. Shortly after its discovery, majority of astronomers expected its
surviving until perihelion passage. Unprecedented evolution of its photometric
parameters nearly 2 AU from Sun, pushed this comet under survival line defined
by formula of John. E. Bortle, where ~70% comets in his analysis disintegrated.
However comparison with photometric behavior of group of past disintegrated
comets showing large differences and ISON doesn't seems to be typical member of
this group. In other hand, compared to surviving, dynamically new comets which
were observed far away from Sun and survived its perihelion passage, ISON
showing peculiar gradual decrease of its activity, probably caused by
exhaustion of active fractions of its nucleus.


title:
Torsional oscillations of crystalline color-superconducting hybrid
  stars: Possible sources for Advanced LIGO?

abstract:
  Deconfined quark matter may exist in a crystalline color-superconducting
phase in the interiors of compact stars. In this paper, we study the torsional
oscillations of compact stars featuring a crystalline color-superconducting
quark-matter core in general relativity. Depending on the size of the
crystalline core and the value of the gap parameter $\Delta$, we find that the
frequencies of the torsional oscillation modes can range from a few hundred
hertz to a few kilohertz for our canonical $1.4 M_\odot$ compact star models.
We have also studied the prospect for detecting the gravitational-wave signals
emitted from these modes in a pulsar glitch event. Assuming that at least
$10\%$ of the energy released in a Vela glitch can be channeled to the
oscillation modes, we find that the Einstein Telescope should be able to detect
these signals in quite general situations. Furthermore, if the size of the
crystalline core is comparable to the stellar radius and the gap parameter is
relatively small at $\Delta \sim 5$ MeV, the signal-to-noise ratio for Advanced
LIGO could reach $\sim$10 for a Vela glitch. Our optimistic results suggest
that we might already be able to probe the nature of crystalline
color-superconducting quark matter with the second-generation
gravitational-wave detectors when they come online in the next few years.


title: On the Existence of Low-Rank Explanations for Mixed Strategy Behavior

abstract:
  Nash equilibrium is used as a model to explain the observed behavior of
players in strategic settings. For example, in many empirical applications we
observe player behavior, and the problem is to determine if there exist payoffs
for the players for which the equilibrium corresponds to observed player
behavior. Computational complexity of Nash equilibria is an important
consideration in this framework. If the instance of the model that explains
observed player behavior requires players to have solved a computationally hard
problem, then the explanation provided is questionable. In this paper we
provide conditions under which Nash equilibrium is a reasonable explanation for
strategic behavior, i.e., conditions under which observed behavior of players
can be explained by games in which Nash equilibria are easy to compute. We
identify three structural conditions and show that if the data set of observed
behavior satisfies any of these conditions, then it is consistent with payoff
matrices for which the observed Nash equilibria could have been computed
efficiently. Our conditions admit large and structurally complex data sets of
observed behavior, showing that even with complexity considerations, Nash
equilibrium is often a reasonable model.


title: Deformations of log-Lagrangian submanifolds of Poisson manifolds

abstract:
  We consider Lagrangian-like submanifolds in certain even-dimensional
'symplectic-like' Poisson manifolds. We show, under suitable transversality
hypotheses, that the pair consisting of the ambient Poisson manifold and the
submanifold has unobstructed deformations and that the deformations
automatically preserve the Lagrangian-like property.


title: Random perturbation of low rank matrices: Improving classical bounds

abstract:
  Matrix perturbation inequalities, such as Weyl's theorem (concerning the
singular values) and the Davis-Kahan theorem (concerning the singular vectors),
play essential roles in quantitative science; in particular, these bounds have
found application in data analysis as well as related areas of engineering and
computer science.
  In many situations, the perturbation is assumed to be random, and the
original matrix has certain structural properties (such as having low rank). We
show that, in this scenario, classical perturbation results, such as Weyl and
Davis-Kahan, can be improved significantly. We believe many of our new bounds
are close to optimal and also discuss some applications.


title:
Effects of Circulating Energetic Ions on Geodesic Acoustic Modes with
  Toroidal Rotation

abstract:
  Effects of circulating energetic ions (CEIs) on the geodesic acoustic modes
(GAMs) in toroidally rotating tokamaks are theoretically analyzed utilizing the
hybrid kinetic-fluid model. The frequencies of GAMs in the presence of toroidal
rotation and CEIs are derived by first considering the rigid equilibrium
condition. The unperturbed distribution function of CEIs depends on the
poloidal angle, eventually influencing the frequencies significantly. The
co-CEIs and counter-CEIs do not cancel each other in the balanced tangential
neutral beam injection (NBI) case and show destabilizing effect on the zonal
flows. The accurate mode frequency and the growth rate are presented.


title:
Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane.
  Revisited

abstract:
  We revisit the Helmholts equation in a quarter-plane in the framework of the
Riemann-Hilbert approach to linear boundary value problems suggested in late
90s by A. Fokas. We show the role of the Sommerfeld radiation condition in
Fokas's scheme.


title:
The impact of updated Zr neutron-capture cross sections and new
  asymptotic giant branch models on our understanding of the s process and the
  origin of stardust

abstract:
  We present model predictions for the Zr isotopic ratios produced by slow
neutron captures in C-rich asymptotic giant branch (AGB) stars of masses 1.25
to 4 Msun and metallicities Z=0.01 to 0.03, and compare them to data from
single meteoritic stardust silicon carbide (SiC) and high-density graphite
grains that condensed in the outflows of these stars. We compare predictions
produced using the Zr neutron-capture cross section from Bao et al. (2000) and
from n_TOF experiments at CERN, and present a new evaluation for the
neutron-capture cross section of the unstable isotope 95Zr, the branching point
leading to the production of 96Zr. The new cross sections generally presents an
improved match with the observational data, except for the 92Zr/94Zr ratios,
which are on average still substantially higher than predicted. The 96Zr/94Zr
ratios can be explained using our range of initial stellar masses, with the
most 96Zr-depleted grains originating from AGB stars of masses 1.8 - 3 Msun,
and the others from either lower or higher masses. The 90,91Zr/94Zr variations
measured in the grains are well reproduced by the range of stellar
metallicities considered here, which is the same needed to cover the Si
composition of the grains produced by the chemical evolution of the Galaxy. The
92Zr/94Zr versus 29Si/28Si positive correlation observed in the available data
suggests that stellar metallicity rather than rotation plays the major role in
covering the 90,91,92Zr/94Zr spread.


title: An Approximate, Efficient Solver for LP Rounding

abstract:
  Many problems in machine learning can be solved by rounding the solution of
an appropriate linear program (LP). This paper shows that we can recover
solutions of comparable quality by rounding an approximate LP solution instead
of the ex- act one. These approximate LP solutions can be computed efficiently
by applying a parallel stochastic-coordinate-descent method to a
quadratic-penalty formulation of the LP. We derive worst-case runtime and
solution quality guarantees of this scheme using novel perturbation and
convergence analysis. Our experiments demonstrate that on such combinatorial
problems as vertex cover, independent set and multiway-cut, our approximate
rounding scheme is up to an order of magnitude faster than Cplex (a commercial
LP solver) while producing solutions of similar quality.


title: Uniform stabilization of a multilayer Rao-Nakra sandwich beam

abstract:
  We consider the problem of boundary feedback stabilization of a multilayer
Rao-Nakra sandwich beam. We show that the eigenfunctions of the decoupled
system form a Riesz basis. This allows us to deduce that the decoupled system
is exponentially stable. Since the coupling terms are compact, the exponential
stability of the coupled system follows from the strong stability of the
coupled system, which is proved using a unique continuation result for the
overdetermined homogenous system in the case of zero feedback.


title:
DinTucker: Scaling up Gaussian process models on multidimensional arrays
  with billions of elements

abstract:
  Infinite Tucker Decomposition (InfTucker) and random function prior models,
as nonparametric Bayesian models on infinite exchangeable arrays, are more
powerful models than widely-used multilinear factorization methods including
Tucker and PARAFAC decomposition, (partly) due to their capability of modeling
nonlinear relationships between array elements. Despite their great predictive
performance and sound theoretical foundations, they cannot handle massive data
due to a prohibitively high training time. To overcome this limitation, we
present Distributed Infinite Tucker (DINTUCKER), a large-scale nonlinear tensor
decomposition algorithm on MAPREDUCE. While maintaining the predictive accuracy
of InfTucker, it is scalable on massive data. DINTUCKER is based on a new
hierarchical Bayesian model that enables local training of InfTucker on
subarrays and information integration from all local training results. We use
distributed stochastic gradient descent, coupled with variational inference, to
train this model. We apply DINTUCKER to multidimensional arrays with billions
of elements from applications in the "Read the Web" project (Carlson et al.,
2010) and in information security and compare it with the state-of-the-art
large-scale tensor decomposition method, GigaTensor. On both datasets,
DINTUCKER achieves significantly higher prediction accuracy with less
computational time.


title:
Investigating the Effect of Family Non-universal $Z^\prime$ Boson in $B
  \to \phi\phi$ Decay

abstract:
  Within the perturbative QCD approach, we re-calculate the branching ratio and
polarization fractions of the pure annihilation decay $B \to \phi \phi$ in both
the standard model (SM) and the family non-universal $Z^\prime$ model. We find
that this decay is dominated by the longitudinal part, while the transverse
parts are negligibly due to the absence of the $(S-P)(S+P)$-type operator. In
SM, the branching ratio is predicted as $(4.4^{+0.8+0.3}_{-0.6-0.5}) \times
10^{-8}$, which is larger than the previous predictions. With an additional
$Z^\prime$ boson, the branching ratio can be enhanced by a factor of 2, or
reduced one half in the allowed parameters space. These results will be tested
by the ongoing LHCb experiment and forthcoming Super-B experiments. Moreover,
if the $Z^\prime$ boson could be directly detected at hadron collider, this
decay can be used to constrain its mass and the couplings in turn.


title:
An allosteric model of the inositol trisphosphate receptor with
  nonequilibrium binding

abstract:
  The inositol trisphosphate receptor (IPR) is a crucial ion channel that
regulates the Ca$^{2+}$ influx from the endoplasmic reticulum (ER) to the
cytoplasm. A thorough study of the IPR channel contributes to a better
understanding of calcium oscillations and waves. It has long been observed that
the IPR channel is a typical biological system which performs adaptation.
However, recent advances on the physical essence of adaptation show that
adaptation systems with a negative feedback mechanism, such as the IPR channel,
must break detailed balance and always operate out of equilibrium with energy
dissipation. Almost all previous IPR models are equilibrium models assuming
detailed balance and thus violate the physical essence of adaptation. In this
article, we constructed a nonequilibrium allosteric model of single IPR
channels based on the patch-clamp experimental data obtained from the IPR in
the outer membranes of isolated nuclei of the \emph{Xenopus} oocyte. It turns
out that our model reproduces the patch-clamp experimental data reasonably well
and produces both the correct steady-state and dynamic properties of the
channel. Particularly, our model successfully describes the complicated bimodal
[Ca$^{2+}$] dependence of the mean open duration at high [IP$_3$], a
steady-state behavior which fails to be correctly described in previous IPR
models. Finally, we used the patch-clamp experimental data to validate that the
IPR channel indeed breaks detailed balance and thus is a nonequilibrium system
which consumes energy.


title:
PyWiFeS: A Rapid Data Reduction Pipeline for the Wide Field Spectrograph
  (WiFeS)

abstract:
  We present PyWiFeS, a new Python-based data reduction pipeline for the Wide
Field Spectrograph (WiFeS). PyWiFeS consists of a series of core data
processing routines built on standard scientific Python packages commonly used
in astronomical applications. Included in PyWiFeS is an implementation of a new
global optical model of the spectrograph which provides wavelengths solutions
accurate to $\sim$0.05 \AA\ (RMS) across the entire detector. The core PyWiFeS
package is designed to be scriptable to enable batch processing of large
quantities of data, and we present a default format for handling of observation
metadata and scripting of data reduction.


title: Geometric complexity of embeddings in ${\mathbb R}^d$

abstract:
  Given a simplicial complex $K$, we consider several notions of geometric
complexity of embeddings of $K$ in a Euclidean space ${\mathbb R}^d$:
thickness, distortion, and refinement complexity (the minimal number of
simplices needed for a PL embedding). We show that any $n$-complex with $N$
simplices which topologically embeds in ${\mathbb R}^{2n}$, $n>2$, can be PL
embedded in ${\mathbb R}^{2n}$ with refinement complexity
$O(e^{N^{4+{\epsilon}}})$. Families of simplicial $n$-complexes $K$ are
constructed such that any embedding of $K$ into ${\mathbb R}^{2n}$ has an
exponential lower bound on thickness and refinement complexity as a function of
the number of simplices of $K$. This contrasts embeddings in the stable range,
$K\subset {\mathbb R}^{2n+k}$, $k>0$, where all known bounds on geometric
complexity functions are polynomial. In addition, we give a geometric argument
for a bound on distortion of expander graphs in Euclidean spaces. Several
related open problems are discussed, including questions about the growth rate
of complexity functions of embeddings, and about the crossing number and the
ropelength of classical links.


title:
An application of a Diederich-Ohsawa theorem in characterizing some
  Hartogs domains

abstract:
  Applying a theorem due to Diederich and Ohsawa on weighted Bergman kernels,
we characterize some Hartogs domains by their holomorphic automorphisms.


title:
Distance-based and continuum Fano inequalities with applications to
  statistical estimation

abstract:
  In this technical note, we give two extensions of the classical Fano
inequality in information theory. The first extends Fano's inequality to the
setting of estimation, providing lower bounds on the probability that an
estimator of a discrete quantity is within some distance $t$ of the quantity.
The second inequality extends our bound to a continuum setting and provides a
volume-based bound. We illustrate how these inequalities lead to direct and
simple proofs of several statistical minimax lower bounds.


title: Social Network Integration: Towards Constructing the Social Graph

abstract:
  In this work, we formulate the problem of social network integration. It
takes multiple observed social networks as input and returns an integrated
global social graph where each node corresponds to a real person. The key
challenge for social network integration is to discover the correspondences or
interlinks across different social networks.
  We engaged an in-depth analysis across three online social networks, AMiner,
Linkedin, and Videolectures in order to address what reveals users' social
identity, whether the social factors consistent across different social
networks and how we can leverage these information to perform integration.
  We proposed a unified framework for the social network integration task. It
crawls data from multiple social networks and further discovers accounts
correspond to the same real person from the obtained networks. We use a
probabilistic model to determine such correspondence, it incorporates features
like the consistency of social status and social ties across different, as well
as one-to-one mapping constraint and logical transitivity to jointly make the
prediction. Empirical experiments verify the effectiveness of our method.


title: Fractional matching in hypergraphs

abstract:
  We find the exact formula for the minimal number of edges of hypergraph which
guaranteed fractional matching of cardinality $s$ in the case when $sn$ is
integer.


title: Analyticity of Quantum States in One-Dimensional Tight-Binding Model

abstract:
  Analytical complexity of quantum wavefunction whose argument is extended into
the complex plane provides an important information about the potentiality of
manifesting complex quantum dynamics such as time-irreversibility, dissipation
and so on. We examine Pade approximation and some complementary methods to
investigate the complex-analytical properties of some complex quantum states
such as impurity states, Anderson-localized states and localized states of
Harper model. The impurity states can be characterized by simple poles of the
Pade approximation, and the localized states of Anderson model and Harper model
can be characterized by an accumulation of poles and zeros of the Pade
approximated function along a critical border, which implies a natural boundary
(NB). A complementary method based on shifting the expansion-center is used to
confirm the existence of the NB numerically, and it is strongly suggested that
the both Anderson-localized state and localized states of Harper model have NBs
in the complex extension. Moreover, we discuss an interesting relationship
between our research and the natural boundary problem of the potential function
whose close connection to the localization problem was discovered quite
recently by some mathematicians. In addition, we also examine the usefulness of
the Pade approximation for numerically predicting the existence of NB by means
of two typical examples, lacunary power series and random power series.


title:
Inverse counting statistics for stochastic and open quantum systems: the
  characteristic polynomial approach

abstract:
  We consider stochastic and open quantum systems with a finite number of
states, where a stochastic transition between two specific states is monitored
by a detector. The long-time counting statistics of the observed realizations
of the transition, parametrized by cumulants, is the only available information
about the system. We present an analytical method for reconstructing generators
of the time evolution of the system compatible with the observations. The
practicality of the reconstruction method is demonstrated by the examples of a
laser-driven atom and the kinetics of enzyme-catalyzed reactions. Moreover, we
propose cumulant-based criteria for testing the non-classicality and
non-Markovianity of the time evolution, and lower bounds for the system
dimension. Our analytical results rely on the close connection between the
cumulants of the counting statistics and the characteristic polynomial of the
generator, which takes the role of the cumulant generating function.

categories: quant-ph cond-mat.mes-hall cond-mat.stat-mech physics.bio-ph


title:
Coherent control of plasmonic spectra using the orbital angular momentum
  of light

abstract:
  This study proposes a method to control the frequency-dependent scattering
spectra from plasmonic spheres via the conservation of incident orbital angular
momentum (OAM). By providing controllable distributions of OAM content,
fractional vortex beams allow selective tailoring of Fano features present in
coherent scattering processes. The applicability of this control methodology is
briefly discussed in the context of plasmonic crystals that recent studies have
shown possess modes described by a well-defined OAM content.


title:
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra,
  and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations

abstract:
  Ultradiscretization with negative values is a long-standing problem and
several attempts have been made to solve it. Among others, we focus on the
symmetrized max-plus algebra, with which we ultradiscretize the discrete
sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon
equation has already been proposed by previous studies, but the equation and
the solutions obtained here are considered to directly correspond to the
discrete counterpart. We also propose a noncommutative discrete analogue of the
sine-Gordon equation, reveal its relations to other integrable systems
including the noncommutative discrete KP equation, and construct multisoliton
solutions by a repeated application of Darboux transformations. Moreover, we
derive a noncommutative ultradiscrete analogue of the sine-Gordon equation and
its 1-soliton and 2-soliton solutions, using the symmetrized max-plus algebra.
As a result, we have a complete set of commutative and noncommutative versions
of continuous, discrete, and ultradiscrete sine-Gordon equations.


title: The twisted Polyakov loop coupling and the search for an IR fixed point

abstract:
  We report the nonperturbative behavior of the twisted Polyakov loop (TPL)
coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov
loop correlators in finite volume with twisted boundary condition. Carrying out
the numerical simulations, we determine the nonperturbative running coupling
constant in this renormalization scheme for Nf=12 SU(3) gauge theory.
  According to the perturbative two loop analysis, the Nf=12 SU(3) gauge theory
might have a conformal fixed point in the infrared region. However, the recent
lattice studies show controversial results for the existence of the fixed
point. We point out possible reasons of the controversy in previous works, and
present our careful study. Finally, we find the infrared fixed point (IRFP) and
discuss the robustness of the nontrivial IRFP of many flavor system under the
change of the analysis method. This talk is based on the paper[1].


title:
Sampling Based Approaches to Handle Imbalances in Network Traffic
  Dataset for Machine Learning Techniques

abstract:
  Network traffic data is huge, varying and imbalanced because various classes
are not equally distributed. Machine learning (ML) algorithms for traffic
analysis uses the samples from this data to recommend the actions to be taken
by the network administrators as well as training. Due to imbalances in
dataset, it is difficult to train machine learning algorithms for traffic
analysis and these may give biased or false results leading to serious
degradation in performance of these algorithms. Various techniques can be
applied during sampling to minimize the effect of imbalanced instances. In this
paper various sampling techniques have been analysed in order to compare the
decrease in variation in imbalances of network traffic datasets sampled for
these algorithms. Various parameters like missing classes in samples,
probability of sampling of the different instances have been considered for
comparison.


title:
Source Code for Computing Giambelli's Formula for Type $E$ Peterson
  Varieties

abstract:
  This document is a companion to the paper "Monk's Rule and Giambelli's
Formula for Peterson Varieties of All Lie Types." We provide the source code
for computing the Giambelli's formula in types $E_6$ $E_7$ and $E_8$.


title: Improved Lattice Renormalization Group Techniques

abstract:
  We compute the bare step-scaling function $s_b$ for SU(3) lattice gauge
theory with $N_f = 12$ massless fundamental fermions, using the
non-perturbative Wilson-flow-optimized Monte Carlo Renormalization Group
two-lattice matching technique. We use a short Wilson flow to approach the
renormalized trajectory before beginning RG blocking steps. By optimizing the
length of the Wilson flow, we are able to determine an $s_b$ corresponding to a
unique discrete $\beta$ function, after a few blocking steps. We carry out this
study using new ensembles of 12-flavor gauge configurations generated with
exactly massless fermions, using volumes up to $32^4$. The results are
consistent with the existence of an infrared fixed point (IRFP) for all
investigated lattice volumes and number of blocking steps. We also compare
different renormalization schemes, each of which indicates an IRFP at a
slightly different value of the bare coupling, as expected for an IR-conformal
theory.


title:
Growth of (CH$_3$)$_2$NH$_2$CuCl$_3$ single crystals using evaporation
  method with different temperatures and solvents

abstract:
  The bulk single crystals of of low-dimensional magnet
(CH$_3$)$_2$NH$_2$CuCl$_3$ (DMACuCl$_3$ or MCCL) are grown by a slow
evaporation method with different kinds of solvents, different degrees of
super-saturation of solution and different temperatures of solution,
respectively. Among three kinds of solvent, methanol, alcohol and water,
alcohol is found to be the best one for growing MCCL crystals because of its
structural similarity to the raw materials and suitable evaporation rate. The
best growth temperature is in the vicinity of 35 $^{\circ}$C. The problem of
the crystals deliquescing in air has been solved through recrystallization
process. The crystals are characterized by means of x-ray diffraction, specific
heat and magnetic susceptibility.


title: Charge-noise-free Lateral Quantum Dot Devices with Undoped Si/SiGe Wafer

abstract:
  We develop quantum dots in a single layered MOS structure using an undoped
Si/SiGe wafer. By applying a positive bias on the surface gates, electrons are
accumulated in the Si channel. Clear Coulomb diamond and double dot charge
stability diagrams are measured. The temporal fluctuation of the current is
traced, to which we apply the Fourier transform analysis. The power spectrum of
the noise signal is inversely proportional to the frequency, and is different
from the inversely quadratic behavior known for quantum dots made in doped
wafers. Our results indicate that the source of charge noise for the doped
wafers is related to the 2DEG dopant.


title:
Crystal growth and characterization of Haldane chain compound
  Ni(C$_3$H$_{10}$N$_2$)$_2$NO$_2$ClO$_4$

abstract:
  The bulk single crystals of $S = 1$ chain compound
Ni(C$_3$H$_{10}$N$_2$)$_2$NO$_2$ClO$_4$ are grown by using a slow evaporation
method at a constant temperature and a slow cooling method. It is found that
the optimum condition of growing large crystals is via slow evaporation at 25
$^\circ$C using 0.015 mol Ni(ClO$_4$)$_2$$\cdot$6H$_2$O, 0.015 mol NaNO$_2$,
and 0.03 mol 1,3-propanediamine liquid dissolved into 30 ml aqueous solvent.
High-quality crystals with size up to $18 \times 7.5 \times 5$ mm$^3$ are
obtained. The single crystals are characterized by measurements of x-ray
diffraction, magnetic susceptibility, specific heat and thermal conductivity.
The susceptibilities along three crystallographic axes are found to exhibit
broad peaks at $\sim 55$ K, and then decrease abruptly to zero at lower
temperatures, which is characteristic of a Haldane chain system. The specific
heat and the thermal conductivity along the $c$ axis can be attributed to the
simple phononic contribution and are analyzed using the Debye approximation.


title:
Strong solvability and residual finiteness for finitely decidable
  varieties

abstract:
  If V is a finitely generated variety such that the first-order theory of the
finite members of V is decidable, we show that V is residually finite, and in
fact has a finite bound on the sizes of subdirectly irreducible algebras. This
result generalizes known results which assumed that V has modular congruence
lattices. Our proof of the theorem in its full generality proceeds by showing
that strongly solvable radicals of algebras in V are strongly abelian.


title:
Giant magnetoresistance in single layer graphene flakes with a gate
  voltage tunable weak antilocalization

abstract:
  A clear gate voltage tunable weak antilocalization and a giant
magnetoresistance of 400 percent are observed at 1.9 K in single layer graphene
with an out-of-plane field. A large magnetoresistance value of 275 percent is
obtained even at room temperature implying potential applications of graphene
in magnetic sensors. Both the weak antilocalization and giant magnetoresistance
persists far away from the charge neutrality point in contrast to previous
reports, and both effects are originated from charged impurities.
Interestingly, the signatures of Shubnikov-de Haas oscillations and the quantum
Hall effect are also observed for the same sample.


title: A low-dimensional analogue of holographic baryons

abstract:
  Baryons in holographic QCD correspond to topological solitons in the bulk.
The most prominent example is the Sakai-Sugimoto model, where the bulk soliton
in the five-dimensional spacetime of AdS-type can be approximated by the flat
space self-dual Yang-Mills instanton with a small size. Recently, the validity
of this approximation has been verified by comparison with the numerical field
theory solution. However, multi-solitons and solitons with finite density are
currently beyond numerical field theory computations. Various approximations
have been applied to investigate these important issues and have led to
proposals for finite density configurations that include dyonic salt and
baryonic popcorn. Here we introduce and investigate a low-dimensional analogue
of the Sakai-Sugimoto model, in which the bulk soliton can be approximated by a
flat space sigma model instanton. The bulk theory is a baby Skyrme model in a
three-dimensional spacetime with negative curvature. The advantage of the
lower-dimensional theory is that numerical simulations of multi-solitons and
finite density solutions can be performed and compared with flat space
instanton approximations. In particular, analogues of dyonic salt and baryonic
popcorn configurations are found and analysed.


title: Nonreciprocity engineering in magnetostatic spin waves

abstract:
  Magnetostatic surface spin waves (MSSW) excited from a coplanar waveguide
antenna travel in different directions with different amplitudes. This effect,
called nonreciprocity of MSSW, has been investigated by micromagnetic
simulations. The ratio of amplitude of two counter propagating spin waves, the
nonreciprocity parameter {\kappa}, is obtained for different ferromagnetic
materials, such as NiFe (Py), CoFeAl, yttrium iron garnet (YIG), and GaMnAs. A
device schematic has been proposed in which {\kappa} can be tuned to a large
value by varying simple geometrical parameters of the device.


title: Spin-spin interaction in the bulk of topological insulators

abstract:
  We apply mean-field theory and Hirsch-Fye quantum Monte Carlo method to study
the spin-spin interaction in the bulk of three-dimensional topological
insulators. We find that the spin-spin interaction has three different
components: the longitudinal, the transverse and the transverse
Dzyaloshinskii-Moriya-like terms. When the Fermi energy is located in the bulk
gap of topological insulators, the spin-spin interaction decays exponentially
due to Bloembergen-Rowland interaction. The longitudinal correlation is
antiferromagnetic and the transverse correlations are ferromagnetic. When the
chemical potential is in the conduction or valence band, the spin-spin
interaction follows power law decay, and isotropic ferromagnetic interaction
dominates in short separation limit.


title:
Conductance modulation in topological insulator Bi2Se3 thin films with
  ionic liquid gating

abstract:
  A Bi2Se3 topological insulator field effect transistor is investigated by
using ionic liquid as an electric double layer gating material, leading to a
conductance modulation of 365% at room temperature. We discuss the role of
charged impurities on the transport properties. The conductance modulation with
gate bias is due to a change in the carrier concentration, whereas the
temperature dependent conductance change is originated from a change in
mobility. Large conductance modulation at room temperature along with the
transparent optical properties makes topological insulators as an interesting
(opto)electronic material.


title:
Controlling the flow of light using the inhomogeneous effective gauge
  field that emerges from dynamic modulation

abstract:
  We show that the effective gauge field for photons provides a versatile
platform for controlling the flow of light. As an example we consider a
photonic resonator lattice where the coupling strength between nearest neighbor
resonators are harmonically modulated. By choosing different spatial
distributions of the modulation phases, and hence imposing different
inhomogeneous effective magnetic field configurations, we numerically
demonstrate a wide variety of propagation effects including negative
refraction, one-way mirror, and on and off-axis focusing. Since the effective
gauge field is imposed dynamically after a structure is constructed, our work
points to the importance of the temporal degree of freedom for controlling the
spatial flow of light.


title:
Bounding essential arities of term operations in finitely decidable
  varieties

abstract:
  Let $\mathbf{A}$ be a finite algebra generating a finitely decidable variety
and having nontrivial strongly solvable radical $\tau$. We provide an improved
bound on the number of variables in which a term can be sensitive to changes
within $\tau$. We utilize a multi-sorted algebraic construction, amalgamating
the methods developed by Valeriote and McKenzie for the investigation of
strongly abelian locally finite decidable varieties with those of Idziak for
locally finite congruence modular finitely decidable varieties.


title:
Single crystal growth of the pyrochlores $R_2$Ti$_2$O$_7$ ($R$ = rare
  earth) by the optical floating-zone method

abstract:
  We report a systematic study on the crystal growth of the rare-earth
titanates $R_2$Ti$_2$O$_7$ ($R$ = Gd, Tb, Dy, Ho, Y, Er, Yb and Lu) and Y-doped
Tb$_{2-x}$Y$_x$Ti$_2$O$_7$ ($x$ = 0.2 and 1) using an optical floating-zone
method. High-quality single crystals were successfully obtained and the growth
conditions were carefully optimized. The oxygen pressure was found to be the
most important parameter and the appropriate ones are 0.1--0.4 MPa, depending
on the radius of rare-earth ions. The growth rate is another parameter and was
found to be 2.5--4 mm/h for different rare-earth ions. X-ray diffraction data
demonstrated the good crystallinity of these crystals. The basic physical
properties of these crystals were characterized by the magnetic susceptibility
and specific heat measurements.


title:
On regularized trace formula of Gribov semigroup genrated by the
  Hamiltonian of reggeon field theory in Bargmann representation

abstract:
  In J. Math. Anal. App. 305. (2005), we have considered the Gribov operator\\
$H_{\lambda'} = \lambda' S + H_{\mu,\lambda}$ acting on Bargmann space where $
S = a^{*2} a^{2}$ and $ H_{\mu,\lambda} =\mu a^* a + \\i \lambda a^* (a+a^*)a$
with $i^{2} = -1$.\\ Here $a$ and $a^{*}$ are the standard Bose annihilation
and creation operators satisfying the commutation relation $[a, a^{*}] = I$. In
Reggeon field theory, the real parameters $\lambda{'}$ is the four coupling of
Pomeron, $\mu$ is Pomeron intercept, $\lambda$ is the triple coupling of
Pomeron and $i^{2} = -1$.\\ We have given an approximation of the semigroup
$e^{-tH_{\lambda'}}$ generated by the operator $H_{\lambda'}$. In particulary,
we have obtained an estimate approximation in trace norm of this semigroup by
the unperturbed semigroup $e^{-t\lambda'S}$.
  In {\bf[12]}, we have regularized the operator $H_{\mu,\lambda}$ by
$\lambda''G$ where $G = a^{*3} a^{3}$, i.e we have considered $H_{\lambda''} =
\lambda'' G + H_{\mu,\lambda}$ where $\lambda''$ is the {\it magic coupling} of
Pomeron. In this case, we have established an exact relation between the degree
of subordination of the non-self-adjoint perturbation operator
$H_{\mu,\lambda}$ to the unperturbed operator $G$ and the number of corrections
necessary for the existence of finite formula of the regularized trace.
  The goal of this article consists to study the trace of the semigroup
$e^{-tH_{\lambda''}}$, in particular to give an asymptotic expansion of this
trace as $t \rightarrow 0^{+}$.


title:
Long-lived entanglement with Pulsed-driven initially entangled qubit
  pair

abstract:
  The entanglement of different classes of initially entangled qubit pair is
investigated in the presence of short laser pulses of rectangular and
exponential shapes with either one or both qubits are excited. For the
rectangular pulse, the detuning parameter protects the entanglement from
degradation and controls its upper and lower bounds. We show that the upper
bounds of entanglement decrease if both particles are excited, but the lower
bounds are much better if only one particle is excited. The phenomena of
entanglement degradation, sudden- death and -birth are shown for small initial
time. Long -lived entanglement behavior, but with a variable degree, appears in
the presence of rectangular pulse. However, in the case of the exponential
pulse one obtains an invariably long- lived entanglement. For the combined case
(rectangular $+$ exponential), we show that one can generate a long-lived
entanglement with small variable by increasing the strength of the rectangular
pulse area and decreasing the Rabi frequency of the exponential pulse.


title: Hypothesis Testing for Automated Community Detection in Networks

abstract:
  Community detection in networks is a key exploratory tool with applications
in a diverse set of areas, ranging from finding communities in social and
biological networks to identifying link farms in the World Wide Web. The
problem of finding communities or clusters in a network has received much
attention from statistics, physics and computer science. However, most
clustering algorithms assume knowledge of the number of clusters k. In this
paper we propose to automatically determine k in a graph generated from a
Stochastic Blockmodel. Our main contribution is twofold; first, we
theoretically establish the limiting distribution of the principal eigenvalue
of the suitably centered and scaled adjacency matrix, and use that distribution
for our hypothesis test. Secondly, we use this test to design a recursive
bipartitioning algorithm. Using quantifiable classification tasks on real world
networks with ground truth, we show that our algorithm outperforms existing
probabilistic models for learning overlapping clusters, and on unlabeled
networks, we show that we uncover nested community structure.

categories: stat.ML cs.LG cs.SI math.ST physics.soc-ph stat.TH


title: Quantum theory of spin waves in finite chiral spin chains

abstract:
  We calculate the effect of spin waves on the properties of finite size spin
chains with a chiral spin ground state observed on bi-atomic Fe chains
deposited on Iridium(001). The system is described with a Heisenberg model
supplemented with a Dzyaloshinskii-Moriya (DM) coupling and a uniaxial single
ion anisotropy that presents a chiral spin ground state. Spin waves are studied
using the Holstein-Primakoff (HP) boson representation of spin operators. Both
the renormalized ground state and the elementary excitations are found by means
of Bogoliubov transformation, as a function of the two variables that can be
controlled experimentally, the applied magnetic field and the chain length.
Three main results are found. First, because of the non-collinear nature of the
classical ground state, there is a significant zero point reduction of the
ground state magnetization of the spin spiral. Second, the two lowest energy
spin waves are edge modes in the spin spiral state that, above a critical field
the results into a collinear ferromagnetic ground state, become confined bulk
modes. Third, in the spin spiral state, the spin wave spectrum exhibits
oscillatory behavior as function of the chain length with the same period of
the spin helix.


title:
A Coherent Ising Machine Based On Degenerate Optical Parametric
  Oscillators

abstract:
  A degenerate optical parametric oscillator network is proposed to solve the
NP-hard problem of finding a ground state of the Ising model. The underlying
operating mechanism originates from the bistable output phase of each
oscillator and the inherent preference of the network in selecting oscillation
modes with the minimum photon decay rate. Computational experiments are
performed on all instances reducible to the NP-hard MAX-CUT problems on cubic
graphs of order up to 20. The numerical results reasonably suggest the
effectiveness of the proposed network.


title: Cutoff effects on lattice nuclear forces

abstract:
  We present a lattice QCD study for the cutoff effects on nuclear forces.
Two-nucleon forces are determined from Nambu-Bethe-Salpeter (NBS) wave
functions using the HAL QCD method. Lattice QCD simulations are performed
employing N_f = 2 clover fermion configurations at three lattice spacings of a
= 0.108, 0.156, 0.215 fm on a fixed physical volume of L^3 x T = (2.5 fm)^3 x 5
fm with a large quark mass corresponding to m_\pi = 1.1 GeV. We observe that
while the discretization artifact appears at the short range part of
potentials, it is suppressed at the long distance region. The cutoff dependence
of the phase shifts and scattering length is also presented.


title:
Packet Travel Times in Wireless Relay Chains under Spatially and
  Temporally Dependent Interference

abstract:
  We investigate the statistics of the number of time slots $T$ that it takes a
packet to travel through a chain of wireless relays. Derivations are performed
assuming an interference model for which interference possesses spatiotemporal
dependency properties. When using this model, results are harder to arrive at
analytically, but they are more realistic than the ones obtained in many
related works that are based on independent interference models.
  First, we present a method for calculating the distribution of $T$. As the
required computations are extensive, we also obtain simple expressions for the
expected value $\mathrm{E} [T]$ and variance $\mathrm{var} [T]$. Finally, we
calculate the asymptotic limit of the average speed of the packet. Our
numerical results show that spatiotemporal dependence has a significant impact
on the statistics of the travel time $T$. In particular, we show that, with
respect to the independent interference case, $\mathrm{E} [T]$ and
$\mathrm{var} [T]$ increase, whereas the packet speed decreases.


title: Lifshitz Scaling Effects on Holographic Superconductors

abstract:
  Via numerical and analytical methods, the effects of the Lifshitz dynamical
exponent $z$ on holographic superconductors are studied in some detail,
including $s$ wave and $p$ wave models. Working in the probe limit, we find
that the behaviors of holographic models indeed depend on concrete value of
$z$. We obtain the condensation and conductivity in both Lifshitz black hole
and soliton backgrounds with general $z$. For both $s$ wave and $p$ wave models
in the black hole backgrounds, as $z$ increases, the phase transition becomes
more difficult and the growth of conductivity is suppressed. For the Lifshitz
soliton backgrounds, when $z$ increases ($z=1,~2,~3$), the critical chemical
potential decreases in the $s$ wave cases but increases in the $p$ wave cases.
For $p$ wave models in both Lifshitz black hole and soliton backgrounds, the
anisotropy between the AC conductivity in different spatial directions is
suppressed when $z$ increases. The analytical results uphold the numerical
results.


title:
Lamellar thickness and stretching temperature dependency of cavitation
  in semicrystalline polymers

abstract:
  Polybutene-1 (PB-1), a typical semicrystalline polymer, in its stable form I
shows a peculiar temperature dependent strain-whitening behavior when being
stretched at different temperatures where the extent of strain-whitening
weakens with the increasing of stretching temperature reaching a minima value
followed by an increase at higher stretching temperatures. Correspondingly, a
stronger strain-hardening phenomenon was observed at higher stretching
temperatures. The strain-whitening phenomenon in semicrystalline polymers has
its origin of cavitation process during stretching. In this work, the effect of
crystalline lamellar thickness and stretching temperature on the cavitation
process in PB-1 has been investigated by means of combined synchrotron
ultrasmall-angle and wide-angle X-ray scattering techniques. It was found that,
with respect to the cavitation process, three modes of cavitation during the
stretching process can be identified, namely no cavitation for sample with the
thinnest lamellae where only shear yielding occurred, cavitation with
reorientation for the samples stretched at lower temperatures and samples with
thicker lamellae, and cavitation without reorientation for samples with thinner
lamellae stretched at higher temperatures. The mode cavitation with
reorientation occurs before yield point where the plate-like cavities start to
be generated within the lamellar stacks with normal perpendicular to the
stretching direction due to the blocky substructure of the crystalline lamellae
and reorient gradually to the stretching direction after strain-hardening. The
mode of cavitation without reorientation appears after yield point where
ellipsoidal shaped cavities are generated in those lamellae stacks with normal
parallel to the stretching direction followed by an improvement of their
orientation at larger strains.


title:
Parameters Affecting Temporal Resolution of Time Resolved Integrative
  Optical Neutron Detector (TRION)

abstract:
  The Time-Resolved Integrative Optical Neutron (TRION) detector was developed
for Fast Neutron Resonance Radiography (FNRR), a fast-neutron transmission
imaging method that exploits characteristic energy-variations of the total
scattering cross-section in the En = 1-10 MeV range to detect specific elements
within a radiographed object. As opposed to classical event-counting time of
flight (ECTOF), it integrates the detector signal during a well-defined neutron
Time of Flight window corresponding to a pre-selected energy bin, e.g., the
energy-interval spanning a cross-section resonance of an element such as C, O
and N. The integrative characteristic of the detector permits loss-free
operation at very intense, pulsed neutron fluxes, at a cost however, of
recorded temporal resolution degradation.
  This work presents a theoretical and experimental evaluation of detector
related parameters which affect temporal resolution of the TRION system.


title: Verifiable Source Code Documentation in Controlled Natural Language

abstract:
  Writing documentation about software internals is rarely considered a
rewarding activity. It is highly time-consuming and the resulting documentation
is fragile when the software is continuously evolving in a multi-developer
setting. Unfortunately, traditional programming environments poorly support the
writing and maintenance of documentation. Consequences are severe as the lack
of documentation on software structure negatively impacts the overall quality
of the software product. We show that using a controlled natural language with
a reasoner and a query engine is a viable technique for verifying the
consistency and accuracy of documentation and source code. Using ACE, a
state-of-the-art controlled natural language, we present positive results on
the comprehensibility and the general feasibility of creating and verifying
documentation. As a case study, we used automatic documentation verification to
identify and fix severe flaws in the architecture of a non-trivial piece of
software. Moreover, a user experiment shows that our language is faster and
easier to learn and understand than other formal languages for software
documentation.


title:
Single crystal growth of the hexagonal manganites $R$MnO$_3$ ($R$ = rare
  earth) by the optical floating-zone method

abstract:
  We report a study on the crystal growth of the hexagonal manganites
$R$MnO$_3$ ($R$ = Y, Lu, Ho, Er, and Tm) by using an optical floating-zone
method. It was found that high-quality single crystals of $R$ = Y, Lu, and Ho
could be easily grown with essentially the same conditions as those reported in
literature, that is, with an atmosphere of normal pressure Ar and oxygen
mixture and a growth rate of 2--4 mm/h. However, these conditions were not
feasible for growing good crystals of $R$ = Er and Tm. The chemical analysis
indicated that it was due to an off-stoichiometric phenomenon in the formed
single crystals. We used an effective and simple way to resolve this problem by
adjusting the nominal compositions of the polycrystal feed rods to be 1--$2\%$
rare-earth excess. The structures and physical properties were characterized by
X-ray diffraction, magnetic susceptibility, specific heat, resistivity, and
dielectric constant measurements.


title:
Background field method, Batalin-Vilkovisky formalism and parametric
  completeness of renormalization

abstract:
  We investigate the background field method with the Batalin-Vilkovisky
formalism, to generalize known results, study parametric completeness and
achieve a better understanding of several properties. In particular, we study
renormalization and gauge dependence to all orders. Switching between the
background field approach and the usual approach by means of canonical
transformations, we prove parametric completeness without making use of
cohomological theorems, namely show that if the starting classical action is
sufficiently general all divergences can be subtracted by means of parameter
redefinitions and canonical transformations. Our approach applies to
renormalizable and non-renormalizable theories that are manifestly free of
gauge anomalies and satisfy the following assumptions: the gauge algebra is
irreducible and closes off shell, the gauge transformations are linear
functions of the fields, and closure is field-independent. Yang-Mills theories
and quantum gravity in arbitrary dimensions are included, as well as effective
and higher-derivative versions of them, but several other theories, such as
supergravity, are left out.


title: Quantum Stabilizer Codes from Maximal Curves

abstract:
  A curve attaining the Hasse-Weil bound is called a maximal curve. Usually
classical error-correcting codes obtained from a maximal curve have good
parameters. However, the quantum stabilizer codes obtained from such classical
error-correcting codes via Euclidean or Hermitian self-orthogonality do not
always possess good parameters. In this paper, the Hermitian self-orthogonality
of algebraic geometry codes obtained from two maximal curves is investigated.
It turns out that the stabilizer quantum codes produced from such Hermitian
self-orthogonal classical codes have good parameters.


title:
Magnetic and Dielectric Properties in Multiferroic Cu3Mo2O9 under High
  Magnetic Fields

abstract:
  The magnetic and dielectric properties under high magnetic fields are studied
in the single crystal of Cu3Mo2O9. This multiferroic compound has distorted
tetrahedral spin chains. The effects of the quasi-one dimensionality and the
geometrical spin frustration are expected to appear simultaneously. We measure
the magnetoelectric current and the differential magnetization under the pulsed
magnetic field up to 74 T. We also measure the electric polarization versus the
electric field curve/loop under the static field up to 23 T. Dielectric
properties change at the magnetic fields where the magnetization jumps are
observed in the magnetization curve. Moreover, the magnetization plateaus are
found at high magnetic fields.


title:
Deciphering Interactions in Causal Networks without Parametric
  Assumptions

abstract:
  With the assumption that the effect is a mathematical function of the cause
in a causal relationship, FunChisq, a chi-square test defined on a
non-parametric representation of interactions, infers network topology
considering both interaction directionality and nonlinearity. Here we show that
both experimental and in silico biological network data suggest the importance
of directionality as evidence for causality. Counter-intuitively, patterns in
those interactions effectively revealed by FunChisq enlist an experimental
design principle essential to network inference -- perturbations to a
biological system shall make it transits between linear and nonlinear working
zones, instead of operating only in a linear working zone.


title: Boosted objects and jet substructure at the LHC

abstract:
  This report of the BOOST2012 workshop presents the results of four working
groups that studied key aspects of jet substructure. We discuss the potential
of the description of jet substructure in first-principle QCD calculations and
study the accuracy of state-of-the-art Monte Carlo tools. Experimental
limitations of the ability to resolve substructure are evaluated, with a focus
on the impact of additional proton proton collisions on jet substructure
performance in future LHC operating scenarios. A final section summarizes the
lessons learnt during the deployment of substructure analyses in searches for
new physics in the production of boosted top quarks.


title:
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms for
  Parabolic Problems

abstract:
  We present a waveform relaxation version of the Dirichlet-Neumann and
Neumann-Neumann methods for parabolic problems. Like the Dirichlet-Neumann
method for steady problems, the method is based on a non-overlapping spatial
domain decomposition, and the iteration involves subdomain solves with
Dirichlet boundary conditions followed by subdomain solves with Neumann
boundary conditions. For the Neumann-Neumann method, one step of the method
consists of solving the subdomain problems using Dirichlet interface
conditions, followed by a correction step involving Neumann interface
conditions. However, each subdomain problem is now in space and time, and the
interface conditions are also time-dependent. Using Laplace transforms, we show
for the heat equation that when we consider finite time intervals, the
Dirichlet-Neumann and Neumann-Neumann methods converge superlinearly for an
optimal choice of the relaxation parameter, similar to the case of Schwarz
waveform relaxation algorithms. The convergence rate depends on the size of the
subdomains as well as the length of the time window. For any other choice of
the relaxation parameter, convergence is only linear. We illustrate our results
with numerical experiments.


title: Feasibility Study on SRF Cavity Improvement by Doping Method

abstract:
  In this article a new idea is proposed by PKU group to improve the RF
superconductive property of niobium cavity. Rare earth elements like scandium
and yttrium are doped into ingot niobium during the smelting processes. A
series of experiments have been done since 2010, and the preliminary testing
results show that the magnetic property of niobium materials has been changed
with different doping elements and proportions while the superconductive
transition temperature almost does not change. Then a large ingot niobium doped
with scandium was melted. RRR and mechanical properties were measured. This
method may increase the superheating magnetic field and decrease surface
resistance of niobium so as to improve the performance of niobium cavity which
is a key component of SRF accelerators. A single-cell cavity made of Sc-doped
niobium has been fabricated.


title: Point Configurations and Translations

abstract:
  The spaces of point configurations on the projective line up to the action of
$\mathrm{SL}(2,\mathbb K)$ and its maximal torus are canonically compactified
by the Grothdieck-Knudsen and Losev-Manin moduli spaces $\overline M_{0,n}$ and
$\overline L_n$ respectively. We examine the configuration space up to the
action of the maximal unipotent group $\mathbb G_a\subseteq
\mathrm{SL}(2,\mathbb K)$ and define an analogous compactification. For this we
first assign a canonical quotient to the action of a unipotent group on a
projective variety. Moreover, we show that similar to $\overline M_{0,n}$ and
$\overline L_n$ this quotient arises in a sequence of blow-ups from a product
of projective spaces.


title: Digital planetariums as virtual museums for discovering today's science

abstract:
  Our study's concern is about how to enlarge the scope of the virtual museum
concept from the mediation activities as they are carried out in today's
digital planetariums to training activities dedicated to the public. We assume
that these educational and cultural tools must be regarded as real immersive
virtual environments and therefore can provide visitors with a new
technological framing directly connected with a scientific field in the making,
cosmography, in its production environment. One of our goals is to make
visitors construct their own knowledge based directly on ongoing research data.


title:
Persistence of exponential trichotomy for linear operators: A
  Lyapunov-Perron approach

abstract:
  In this article we revisit the perturbation of exponential trichotomy of
linear difference equation in Banach space by using a Perron-Lyapunov fixed
point formulation for the perturbed evolution operator. This approach allows us
to directly re-construct the perturbed semiflow without using shift spectrum
arguments. These arguments are presented to the case of linear autonomous
discrete time dynamical system. This result is then coupled to Howland
semigroup procedure to obtain the persistence of exponential trichotomy for
non-autonomous difference equations as well as for linear random difference
equations in Banach spaces.


title:
High Order Riesz Transforms and Mean Value Formula for Generalized
  Translate Operator

abstract:
  In this paper, the mean value formula depends on the Bessel generalized shift
operator corresponding to the solutions of the boundary value problem related
to the Bessel operator are studied. In addition to, Riesz Bessel transforms
related to the Bessel operators are studied. Since Bessel generalized shift
operator is translation operator corresponding to the Bessel operator, we
construct a family of RBxj by using Bessel generalized shift operator. Finally,
we analysis weighted inequalities involving Riesz Bessel transforms .


title:
Multiferroicity in the Mott Insulating Charge-Transfer Salt
  {\kappa}-(BEDT-TTF)$_2$Cu[N(CN)$_2$]Cl

abstract:
  The recently proposed multiferroic state of the charge-transfer salt
{\kappa}-(BEDT-TTF)$_2$Cu[N(CN)$_2$]Cl [P. Lunkenheimer et al., Nature Mater.,
vol. 11, pp. 755-758, Sept. 2012] has been studied by dc-conductivity, magnetic
susceptibility and measurements of the dielectric constant on various,
differently prepared single crystals. In the majority of crystals we confirm
the existence of an order-disorder-type ferroelectric state which coincides
with antiferromagnetic order. This phenomenology rules out scenarios which
consider an inhomogeneous, short-range-ordered ferroelectric state.
Measurements of the dielectric constant and the magnetic susceptibility on the
same crystals reveal that both transitions lie very close to each other or even
collapse, indicating that both types of order are intimately coupled to each
other. We address issues of the frequency dependence of the dielectric constant
{\epsilon}' and the dielectric loss {\epsilon}'' and discuss sample-to-sample
variations.


title:
Neighbours hiding in the Galactic plane - a new M/L dwarf candidate for
  the 8pc sample

abstract:
  AIMS: Using Wide-field Infrared Survey Explorer (WISE) data and previous
optical and near-infrared sky surveys, we try to identify still missing stellar
and substellar neighbours of the Sun. METHODS: When checking the brightest red
WISE sources for proper motions and colours expected for nearby M and L dwarfs
we also approached the thin Galactic plane. Astrometry (proper motion and
parallax measurements) and the available photometry were used to give first
estimates of the distance and type of nearby candidates. RESULTS: We have
discovered WISE J072003.20$-$084651.2, an object with moderately high proper
motion ($\mu$$\approx$120 mas/yr) and at low Galactic latitude
($b$$=$$+$2.3$\degr$), with similar brightness ($J$$\approx$10.6,
$w2$$\approx$8.9) and colours ($I$$-$$J$$\approx$3.2, $J$$-$$K_s$$\approx$1.2,
$w1$$-$$w2$$\approx$0.3) as the nearest known M-type brown dwarf LP 944-20.
With a photometric classification as an M9$\pm$1 dwarf, its photometric
distance lies in the range between about 5 and 7 pc, based on comparison with
absolute magnitudes of LP 944-20 alone or of a sample of M8-L0 dwarfs.The
slightly larger distance derived from our preliminary trigonometric parallax
(7.0$\pm$1.9 pc) may indicate a close binary nature. The new neighbour is an
excellent target for planet search and low-mass star/brown dwarf studies.


title: Quantum spin systems on infinite lattices

abstract:
  This is an extended and corrected version of lecture notes originally written
for a one semester course at Leibniz University Hannover. The main aim of the
notes is to give an introduction to the mathematical methods used in describing
discrete quantum systems consisting of infinitely many sites. Such systems can
be used, for example, to model the materials in condensed matter physics. The
notes provide the necessary background material to access recent literature in
the field. Some of these recent results are also discussed.
  The contents are roughly as follows: (1) quick recap of essentials from
functional analysis, (2) introduction to operator algebra, (3) algebraic
quantum mechanics, (4) infinite systems (quasilocal algebra), (5) KMS and
ground states, (6) Lieb-Robinson bounds, (7) algebraic quantum field theory,
(8) superselection sectors of the toric code, (9) Haag-Ruelle scattering theory
in spin systems, (10) applications to gapped phases.
  The level is aimed at students who have at least had some exposure to
(functional) analysis and have a certain mathematical "maturity".


title: Incarnations of Instantons

abstract:
  Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can
be promoted to particle-like topological solitons in d=4+1 dimensional
space-time. When coupled to Higgs fields, they transform themselves in the
Higgs phase into Skyrmions, lumps and sine-Gordon kinks, with trapped inside a
non-Abelian domain wall, non-Abelian vortex and monopole string, respectively.
Here, we point out that a closed monopole string, non-Abelian vortex sheet and
non-Abelian domain wall in $S^1$, $S^2$ and $S^3$ shapes, respectively, are all
Yang-Mills instantons if their $S^1$, $S^2$ and $S^3$ moduli, respectively, are
twisted along their world-volumes.


title: Lattice Simulations using OpenACC compilers

abstract:
  OpenACC compilers allow one to use Graphics Processing Units without having
to write explicit CUDA codes. Programs can be modified incrementally using
OpenMP like directives which causes the compiler to generate CUDA kernels to be
run on the GPUs. In this article we look at the performance gain in lattice
simulations with dynamical fermions using OpenACC compilers.


title: High-order Rogue Waves in Vector Nonlinear Schr\"odinger Equations

abstract:
  We study on dynamics of high-order rogue wave in two-component coupled
nonlinear Schr\"{o}dinger equations. We find four fundamental rogue waves can
emerge for second-order vector RW in the coupled system, in contrast to the
high-order ones in single component systems. The distribution shape can be
quadrilateral, triangle, and line structures through varying the proper initial
excitations given by the exact analytical solutions. Moreover, six fundamental
rogue wave can emerge on the distribution for second-order vector rogue wave,
which is similar to the scalar third-order ones. The distribution patten for
vector ones are much abundant than the ones for scalar rogue waves. The results
could be of interest in such diverse fields as Bose-Einstein condensates,
nonlinear fibers, and superfluids.


title:
Experimental super-resolved phase measurements with shot-noise
  sensitivity

abstract:
  The ultimate sensitivity of optical measurements is a key element of many
recent works. Classically, it is mainly limited by the shot noise limit.
However, a measurement setup that incorporates quantum mechanical principles
can surpass the shot noise limit and reach the Heisenberg limit. Nevertheless,
many of those experiments fail to break even the classical shot-noise limit.
Following a recent proposal, we present here the results of optical phase
measurements with a photon-number resolving detector using coherent states of
up to 4200 photons on average. An additional scheme that can be implemented
using standard single-photon detectors is also presented, and the results of
the two schemes are compared. These measurements present deterministic
single-shot sub-wavelength super-resolution up to 288 better than the optical
wavelength. The results follow the classically limited sensitivity, up to 86
times better than the wavelength.


title:
Quadratic interaction functional for systems of conservation laws: a
  case study

abstract:
  We prove a quadratic interaction estimate for wavefront approximate solutions
to the triangular system of conservation laws \[ \begin{cases} u_t + \tilde
f(u,v)_x = 0, \cr v_t - v_x = 0. \end{cases} \] This quadratic estimate has
been used in the literature to prove the convergence rate of the Glimm scheme.
  Our aim is to extend the analysis, done for scalar conservation laws, in the
presence of transversal interactions among wavefronts of different families.
The proof is based on the introduction of a quadratic functional $\mathfrak
Q(t)$, decreasing at every interaction, and such that its total variation in
time is bounded. %cancellations it variation is controlled by the total
variation growths at most of the total variation of the solution multiplied by
the amount of cancellation.
  The study of this particular system is a key step in the proof of the
quadratic interaction estimate for general systems: it requires a deep analysis
of the wave structure of the solution $(u(t,x),v(t,x))$ and the reconstruction
of the past history of each wavefront involved in an interaction.


title:
Solar wind He pickup ions as source of tens-of-keV/n neutral He atoms
  observed by the HSTOF/SOHO detector

abstract:
  Context. Since 1996, during periods of low solar activity, the HSTOF
instrument onboard the SOHO satellite has been measuring weak fluxes of He
atoms of 28-58 keV/n (helium energetic neutral atoms - He ENA). The probable
source region is the inner heliosheath.
  Aims. We aim to understand the emission mechanism of He ENA based on
knowledge of heliosheath spatial extent and plasma content resulting from
Voyager 1 & 2 measurements in the period after termination shock crossings.
  Methods. He ENA are generated by charge-exchange neutralization of energetic
helium ions on interstellar neutral H and He. Energy spectra of helium ions in
the heliosheath are calculated by following the evolution of their velocity
distribution functions when carried by and undergoing binary interactions with
plasma constituents of a background flow whose particle populations are modeled
to approximately render post-termination-shock Voyager data.
  Results. The observed HSTOF He ENA form a higher energy part of general
heliospheric He ENA fluxes and can be explained by the proposed mechanism to
within 2{\sigma} error. The main factor determining the level of emission (and
its uncertainty) is the energy spectrum of He^+ pickup ions in post-termination
shock plasmas.


title:
The evolution of the large-scale structure of the universe: beyond the
  linear regime

abstract:
  These lecture notes introduce analytical tools, methods and results
describing the growth of cosmological structure beyond the linear regime. The
presentation is focused on the single flow regime of the Vlasov-Poisson
equation describing the development of gravitational instabilities in a
pressureless fluid. These notes include the introduction of diagrammatic
representations of the standard perturbation theory with applications to the
calculation of the so-called loop contributions to the power spectra. A large
part of these notes is devoted to the exploration of the convergence properties
of these terms from the contribution of both the long-wave modes and the
short-wave modes. The resulting performances of the two-loop corrections of the
power spectra are then presented. Finally other avenues that use different
methods are explored. In particular it is shown how joint density and profile
probability distribution functions can be constructed out of the
multiple-variable cumulant generating functions computed at tree order.


title:
Strong Rate of Convergence for the Euler-Maruyama Approximation of
  Stochastic Differential Equations with Irregular Coefficients

abstract:
  We consider the Euler-Maruyama approximation for multi-dimensional stochastic
differential equations with irregular coefficients. We provide the rate of
strong convergence where the possibly discontinuous drift coefficient satisfies
a one-sided Lipschitz condition and the diffusion coefficient is H\"older
continuous.


title:
Thermodynamic formalism and large deviations for
  multiplication-invariant potentials on lattice spin systems

abstract:
  We introduce the multiplicative Ising model and prove basic properties of its
thermodynamic formalism such as existence of pressure and entropies. We
generalize to one-dimensional "layer-unique" Gibbs measures for which the same
results can be obtained. For more general models associated to a
$d$-dimensional multiplicative invariant potential, we prove a large deviation
theorem in the uniqueness regime for averages of multiplicative shifts of
general local functions. This thermodynamic formalism is motivated by the
statistical properties of multiple ergodic averages.


title:
Tunneling induced dark states and controllable fluorescence spectrum in
  quantum-dot molecules

abstract:
  We theoretically investigate the spectrum of the fluorescence from triple
quantum-dot molecules and demonstrate that it is possible to use tunneling to
induce dark states. Unlike the atomic system, in quantum-dot molecules we can
use tunneling to create the dark states and control fluorescence emission,
requiring no coupling lasers. And interesting features such as quenching and
narrowing of the fluorescence can be obtained. We also explain the spectrum
with the transition properties of the dressed states generated by the coupling
of the laser and the two tunneling. The quenching of the fluorescence is due to
the tunneling induced dark states, while the narrowing of the central peak is
due to the slow decay rate of the dressed levels.


title:
Electron and Ion Heating during Magnetic Reconnection in Weakly
  Collisional Plasmas

abstract:
  Gyrokinetic simulations of magnetic reconnection are presented to investigate
plasma heating for strongly magnetized, weakly collisional plasmas. For a low
plasma beta case, parallel and perpendicular phase mixing strongly enhance
energy dissipation yielding electron heating. Heating occurs for a long time
period after a dynamical process of magnetic reconnection ended. For a higher
beta case, the ratio of ion to electron dissipation rate increases, suggesting
that ion heating (via phase-mixing) may become an important dissipation channel
in high beta plasmas.


title:
Undercooling growth and magnetic characterization of ferromagnetic shape
  memory alloy Ni2FeGa single crystals

abstract:
  Ni2FeGa single crystals have been grown in undercooling conditions provided
by a glass-purification method. It has been found that trace amounts of gamma
phase embededin the single crystalline matrix preferentially orients in the
<100> orientation along the growth direction. This gamma phase generates
directional residual stress and results in an anisotropic two-way shape memory
effect. Large strains of -2.5% in the [001] and 1.5% in the [010] directions
have been observed. This trace gamma phase also improves the ductility of the
material and thus the crystals could be plastically deformed at room
temperature in the parent phase. The <110> and <111> orientations in Ni2FeGa
alloy were identified as the easy and hard magnetization directions,
respectively, in the parent phase by using low field M-T measurements.


title: Comodules over weak multiplier bialgebras

abstract:
  This is a sequel paper of arXiv:1306.1466 in which we study the comodules
over a regular weak multiplier bialgebra over a field, with a full
comultiplication. Replacing the usual notion of coassociative coaction over a
(weak) bialgebra, a comodule is defined via a pair of compatible linear maps.
Both the total algebra and the base (co)algebra of a regular weak multiplier
bialgebra with a full comultiplication are shown to carry comodule structures.
Kahng and Van Daele's integrals are interpreted as comodule maps from the total
to the base algebra. Generalizing the counitality of a comodule to the
multiplier setting, we consider the particular class of so-called full
comodules. They are shown to carry bi(co)module structures over the base
(co)algebra and constitute a monoidal category via the (co)module tensor
product over the base (co)algebra. If a regular weak multiplier bialgebra with
a full comultiplication possesses an antipode, then finite dimensional full
comodules are shown to possess duals in the monoidal category of full
comodules. Hopf modules are introduced over regular weak multiplier bialgebras
with a full comultiplication. Whenever there is an antipode, the Fundamental
Theorem of Hopf Modules is proven. It asserts that the category of Hopf modules
is equivalent to the category of firm modules over the base algebra.


title: Linear stability in networks of pulse-coupled neurons

abstract:
  In a first step towards the comprehension of neural activity, one should
focus on the stability of the various dynamical states. Even the
characterization of idealized regimes, such as a perfectly periodic spiking
activity, reveals unexpected difficulties. In this paper we discuss a general
approach to linear stability of pulse-coupled neural networks for generic
phase-response curves and post-synaptic response functions. In particular, we
present: (i) a mean-field approach developed under the hypothesis of an
infinite network and small synaptic conductances; (ii) a "microscopic" approach
which applies to finite but large networks. As a result, we find that no matter
how large is a neural network, its response to most of the perturbations
depends on the system size. There exists, however, also a second class of
perturbations, whose evolution typically covers an increasingly wide range of
time scales. The analysis of perfectly regular, asynchronous, states reveals
that their stability depends crucially on the smoothness of both the
phase-response curve and the transmitted post-synaptic pulse. The general
validity of this scenarion is confirmed by numerical simulations of systems
that are not amenable to a perturbative approach.


title:
On the Foundation of Statistical Mechanics under Experimentally
  Realistic Conditions: A Comparison between the Quantum and the Classical Case

abstract:
  Focusing on isolated macroscopic systems, described either in terms of a
quantum mechanical or a classical model, our two key questions are: In how far
does an initial ensemble (usually far from equilibrium and largely unknown in
detail) evolve towards a stationary long-time behavior ("equilibration")? In
how far is this steady state in agreement with the microcanonical ensemble as
predicted by Statistical Mechanics ("thermalization")? In the first part of the
paper, a recently developed quantum mechanical treatment of the problem is
briefly summarized, putting particular emphasis on the realistic modeling of
experimental measurements and non-equilibrium initial conditions. Within this
framework, equilibration can be proven under very weak assumptions about those
measurements and initial conditions, while thermalization still requires quite
strong additional hypotheses. In the second part, an analogous approach within
the framework of classical mechanics is developed and compared with the quantum
case. In particular, the assumptions to guarantee classical equilibration are
now rather strong, while thermalization then follows under relatively weak
additional conditions.


title: Leggett's Modes in Magnetic Systems with Jahn-Teller distortion

abstract:
  Leggett's mode is a collective excitation corresponding to the oscillation of
the relative phase of the order parameters in a two band superconductor, with
frequency proportional to interband coupling. We report on the existence of
modes, similar to Leggett's mode, in magnetic systems with Jahn-Teller
distortion. The minimal Kugel-Khomskii model, which describes simultaneously
both the spin and the orbital order, is studied. The dynamical degrees of
freedom are spin-$s$ operators of localized spins and pseudospin-$\tau$
operators, which respond to the orbital degeneracy and satisfy the similar
commutation relation with those of the spin operators. In the case of
"antiferro" spin and pseudospin order the system possesses two
antiferromagnetic magnons with equal spin-wave velocities and two Leggett's
modes with equal gaps proportional to the square root of the spin-pseudospin
interaction constant. In the case of "ferro" spin and pseudospin order the
system possesses one ferromagnetic magnon and one Leggett's mode with gap
proportional to the spin-pseudospin interaction constant.


title:
A new large scale instability in rotating stratified fluids driven by
  small scale forces

abstract:
  In this paper, we find a new large scale instability displayed by a
stratified rotating flow in forced turbu- lence. The turbulence is generated by
a small scale external force at low Reynolds number. The theory is built on the
rigorous asymptotic method of multi-scale development. There is no other
special constraint concerning the force. In previous papers, the force was
either helical or violating parity invariance. The nonlinear equations for the
instability are obtained at the third order of the perturbation theory. In this
article, we explain a detailed study of the linear stage of the instability.


title:
Next-to-leading order QCD corrections for the charmonium production via
  the channel $e^+ e^- \to H(|c\bar{c}\rangle) + \gamma$ round the $Z^0$ peak

abstract:
  In our previous work [2], it has been found that sizable charmonium events
via the channel $e^+e^- \to \gamma^*/Z^0 \to H(|c\bar{c}\rangle) +\gamma$ can
be produced at the suggested super $Z$ factory, where $H(|c\bar{c}\rangle)$
represents the dominant color-singlet $S$-wave and $P$-wave charmonium states
$J/\psi$, $\eta_c$, $h_c$ and $\chi_{cJ}$ ($J=0, 1, 2$), respectively. As an
important step forward, in the present paper, we present a next-to-leading
order (NLO) QCD analysis within the framework of nonrelativistic QCD. In
different to the case of $B$ factory in which the single charmonium production
is dominated by the channel via a virtual photon, at the super $Z$ factory, its
cross-section is dominated by the channel via a $Z^0$ boson. Estimations up to
NLO level are done at both the $B$ factory and the super $Z$ factory
experimental conditions. We observe that the NLO distributions have the same
shapes as those of LO distributions, but their differences are sizable. This
indicates that a NLO calculation is necessary and important to achieve a more
accurate estimation. Due to $Z^0$ boson resonance effect, at the super $Z$
factory with a high luminosity up to $10^{36}{\rm cm}^{-2}{\rm s}^{-1}$, when
summing all the color-singlet states' contribution together, one may observe
about $8.0\times10^{4}$ charmonium events via the channel $e^+e^-\to Z^0 \to
H(|c\bar{c}\rangle)+\gamma$ in one operation year. Then, such super $Z$ factory
could provide another useful platform to study the charmonium properties, even
for the higher charmonium states.


title:
On the shape of the mass-function of dense clumps in the Hi-GAL fields.
  II. Using Bayesian inference to study the clump mass function

abstract:
  Context. Stars form in dense, dusty clumps of molecular clouds, but little is
known about their origin, their evolution and their detailed physical
properties. In particular, the relationship between the mass distribution of
these clumps (also known as the "clump mass function", or CMF) and the stellar
initial mass function (IMF), is still poorly understood. Aims. In order to
better understand how the CMF evolve toward the IMF, and to discern the "true"
shape of the CMF, large samples of bona-fide pre- and proto-stellar clumps are
required. Two such datasets obtained from the Herschel infrared GALactic Plane
Survey (Hi-GAL) have been described in paper I. Robust statistical methods are
needed in order to infer the parameters describing the models used to fit the
CMF, and to compare the competing models themselves. Methods. In this paper we
apply Bayesian inference to the analysis of the CMF of the two regions
discussed in Paper I. First, we determine the Bayesian posterior probability
distribution for each of the fitted parameters. Then, we carry out a
quantitative comparison of the models used to fit the CMF. Results. We have
compared the results from several methods implementing Bayesian inference, and
we have also analyzed the impact of the choice of priors and the influence of
various constraints on the statistical conclusions for the preferred values of
the parameters. We find that both parameter estimation and model comparison
depend on the choice of parameter priors. Conclusions. Our results confirm our
earlier conclusion that the CMFs of the two Hi-GAL regions studied here have
very similar shapes but different mass scales. Furthermore, the lognormal model
appears to better describe the CMF measured in the two Hi-GAL regions studied
here. However, this preliminary conclusion is dependent on the choice of
parameters priors.


title: A Closer Look ar Mirrors and Quotients of Calabi-Yau Threefolds

abstract:
  Let X be the toric variety (P^1)^4 associated with its four-dimensional
polytope. Consider a resolution of the singular Fano variety associated with
the dual polytope of X. Generically, anti-canonical sections Y of X and
anticanonical sections of the resolution are mirror partners in the sense of
Batyrev. Our main result is the following: the Hodge-theoretic mirror of the
quotient Z associated to a maximal admissible pair (Y,G) in X is not a quotient
associated to an admissible pair in the resolution. Nevertheless, it is
possible to construct a mirror orbifold of Z by means of a quotient of a
suitable anticanonical section of the resolution. The crepant resolution of Z
is a Calabi-Yau threeefold with Hodge numbers (8, 4). Instead, if we start from
a non-maximal admissible pair, in same cases, its mirror is the quotient
associated to an admissible pair.


title: Galactic Dynamics feeding the Galactic Center

abstract:
  We present the hierarchical structure of the gas and its rapid evolution in
the central region of a simulation of the entire Milky Way, run at subparsec
resolution. We emphasize the coupling between the kpc-scale dynamics, the
molecular ring and the central 5 pc disk feeding the super massive black hole.


title: Effects of the symmetry energy on the kaon condensates in the QMC Model

abstract:
  In this work we investigate protoneutron star properties within a modified
version of the quark coupling model (QMC) that incorporates a omega-rho
interaction plus kaon condensed matter at finite temperature. Fixed entropy and
trapped neutrinos are taken into account. Our results are compared with the
ones obtained with the GM1 parametrization of the non-linear Walecka model for
similar values of the symmetry energy slope. Contrary to GM1, within the QMC
the formation of low mass black-holes during cooling are not probable. It is
shown that the evolution of the protoneutron star may include the melting of
the kaon condensate driven by the neutrino diffusion, followed by the formation
of a second condensate after cooling. The signature of this complex proccess
could be a neutrino signal followed by a gamma ray burst. We have seen that
both models can, in general, describe very massive stars.


title: Optimal crossover designs for the proportional model

abstract:
  In crossover design experiments, the proportional model, where the carryover
effects are proportional to their direct treatment effects, has draw attentions
in recent years. We discover that the universally optimal design under the
traditional model is E-optimal design under the proportional model. Moreover,
we establish equivalence theorems of Kiefer-Wolfowitz's type for four popular
optimality criteria, namely A, D, E and T (trace).


title:
Search for isotope effects in projectile and target ionization in swift
  He$^+$ on H$_2$ or D$_2$ collisions

abstract:
  Using the cold target recoil ion momentum spectroscopy (COLTRIMS) technique,
we have measured the simultaneous projectile and target ionization in
collisions of He$^+$ projectiles with a mixture of gaseous H$_2$ and D$_2$ for
an incident projectile energy of 650 keV. Motivated by Cooper et al. [Phys.
Rev. Lett. 100, 043204 (2008)], we look for differences in the ionization cross
section of the two isotopes with the highest resolution and statistical
significance. Contributions of the electron-electron and electron-nucleus
interactions have been clearly separated kinematically by measuring the
longitudinal and transverse momentum of the recoiling ion. We find no
significant isotope effect in any of our momentum distributions.


title: Impacts of high dimensionality in finite samples

abstract:
  High-dimensional data sets are commonly collected in many contemporary
applications arising in various fields of scientific research. We present two
views of finite samples in high dimensions: a probabilistic one and a
nonprobabilistic one. With the probabilistic view, we establish the
concentration property and robust spark bound for large random design matrix
generated from elliptical distributions, with the former related to the sure
screening property and the latter related to sparse model identifiability. An
interesting concentration phenomenon in high dimensions is revealed. With the
nonprobabilistic view, we derive general bounds on dimensionality with some
distance constraint on sparse models. These results provide new insights into
the impacts of high dimensionality in finite samples.


title:
The Galactic Center as a Paradigm for Low Luminosity Nuclei? The K-band
  identification of the DSO/G2 source from VLT and Keck data

abstract:
  The super-massive 4 million solar mass black hole (SMBH) SgrA* shows flare
emission from the millimeter to the X-ray domain. The nucleus of the Milky Way
has properties (stellar cluster, young stars, molecular gas and an accreting
SMBH) that resemble those of currently higher luminous Low Luminosity Active
Galactic Nuclei. A detailed analysis of the infrared light curves shows that
the flares are probably generated in a single-state process forming a power-law
distribution of the flux density. Near-infrared polarimetry shows signatures of
strong gravity that are statistically significant against randomly polarized
red noise. Details of the emission mechanism are discussed in a
synchrotron/self-Compton model. SgrA* also allows to study the interaction of
the SMBH with the immediate interstellar and gaseous environment of the central
stellar cluster. Through infrared imaging of the central few arcseconds it is
possible to study both inflow and outflow phenomena linked to the SgrA* black
hole. In this context we also discuss the newly found dusty object that
approaches SgrA* and present a comparison between recent Keck and VLT K-band
data that clearly supports its detection as a about 19m K'-band continuum
source.


title: Numerical solutions of the modified Lane-Emden equation in f(R)-gravity

abstract:
  The modified Lane-Emden equation for stellar hydrostatic equilibrium in
f(R)-gravity is numerically solved by using an iterative procedure. Such an
integro-differential equation can be obtained in the weak field limit
approximation of f(R)-gravity by considering a suitable polytropic equation of
state in the modified Poisson equation. The approach allows, in principle, to
deal with still unexplored self-graviting systems that could account for exotic
stellar structures that escape standard stellar theory.


title: Sparse Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms

abstract:
  The problem of signal recovery from its Fourier transform magnitude is of
paramount importance in various fields of engineering and has been around for
over 100 years. Due to the absence of phase information, some form of
additional information is required in order to be able to uniquely identify the
signal of interest. In this work, we focus our attention on discrete-time
sparse signals (of length $n$). We first show that, if the DFT dimension is
greater than or equal to $2n$, almost all signals with {\em aperiodic} support
can be uniquely identified by their Fourier transform magnitude (up to
time-shift, conjugate-flip and global phase).
  Then, we develop an efficient Two-stage Sparse Phase Retrieval algorithm
(TSPR), which involves: (i) identifying the support, i.e., the locations of the
non-zero components, of the signal using a combinatorial algorithm (ii)
identifying the signal values in the support using a convex algorithm. We show
that TSPR can {\em provably} recover most $O(n^{1/2-\eps})$-sparse signals (up
to a time-shift, conjugate-flip and global phase). We also show that, for most
$O(n^{1/4-\eps})$-sparse signals, the recovery is {\em robust} in the presence
of measurement noise. Numerical experiments complement our theoretical analysis
and verify the effectiveness of TSPR.


title: Deep neural networks for single channel source separation

abstract:
  In this paper, a novel approach for single channel source separation (SCSS)
using a deep neural network (DNN) architecture is introduced. Unlike previous
studies in which DNN and other classifiers were used for classifying
time-frequency bins to obtain hard masks for each source, we use the DNN to
classify estimated source spectra to check for their validity during
separation. In the training stage, the training data for the source signals are
used to train a DNN. In the separation stage, the trained DNN is utilized to
aid in estimation of each source in the mixed signal. Single channel source
separation problem is formulated as an energy minimization problem where each
source spectra estimate is encouraged to fit the trained DNN model and the
mixed signal spectrum is encouraged to be written as a weighted sum of the
estimated source spectra. The proposed approach works regardless of the energy
scale differences between the source signals in the training and separation
stages. Nonnegative matrix factorization (NMF) is used to initialize the DNN
estimate for each source. The experimental results show that using DNN
initialized by NMF for source separation improves the quality of the separated
signal compared with using NMF for source separation.


title: New Physics searches in heavy flavours in ATLAS

abstract:
  Precision determinations of the flavour sector allow the search for indirect
new physics signatures. At the forefront of these studies are the
determinations of interference of new physics with known $\upDelta F=1$ and
$\upDelta F=2$ processes. The ATLAS collaboration explores this area with
competitive results measuring the CP violating phase $\phi_s$ from $B^0_s\to
J/\psi \phi$ decays and investigating rare $B$ decays with dileptons in the
final state with data collected at the Large Hadron Collider. In this paper,
the latest ATLAS results relevant for new physics searches in the heavy flavour
sector will be discussed.