title: Applying Titius-Bode's Law on Exoplanetry Systems

abstract:
  We report the application of Titius-Bode's law on 43 exoplanetary systems
containing four or more planets. Due to the fact that most of these systems
have their planets located within compact regions extending for less than the
semi-major axis of Mercury we found the necessity to scale down the Titius-Bode
law in each case. In this short article we present sample calculations for
three systems out of the whole set. Results show that all systems studied are
verifying the applicability of the law with high accuracy. Consequently our
investigation verifies practically the scale invariance of Titius-Bode law. The
results of this study buildup the confidence in predicting positions of the
exoplanets according to Titius-Bode's law besides enabling diagnosing possible
reasons of deviations.


title: New supersymmetric black holes in four dimensional N=2 supergravity

abstract:
  In this paper we consider the four dimensional N=2 supergravity theory
arising from the compactification of type IIA string theory on a Calabi-Yau
manifold. We analyse the supersymmetric flow equations for static, spherically
symmetric, single-centered black holes. These flow equations are solved by a
set of algebraic equations involving the holomorphic sections and harmonic
functions. We examine black hole configurations with D0-D4-D6 charge for which
the most general solution of these algebraic equations are considered. Though
the black hole solution is unique for a given value of the charges, we find new
phases of the black hole solutions upon varying them.


title: Kinetic theory and quasilinear theories of jet dynamics

abstract:
  We review progress that has been made to constructa theory for the jet
formation and maintenance in planetary atmospheres. The theory is built in the
regime where velocityfluctuations around the base jet are very small compared
to the zonaljet velocity itself. Such situations are frequent in many
naturaljets, for instance in the atmosphere of outer planets, the most
prominentexample being probably Jupiter's troposphere jets. As discussed
inother chapters of this book, fluctuations close to Jupiter zonaljets are
smaller than the zonal jets themselves. In such a regime, it is natural and
often justified to treat the non-zonalpart of the dynamics with a quasi-linear
approximation: at leadingorder the dynamics of the non-zonal flow is described
by theequation linearized close to the quasi-stationary zonal jets. The theory,
based on a multi-scale method called stochastic averaging, share similarities
with Stochastic Structural Stability Theory (S3T) and with second order
closure(CE2), also discussed in other chapters of the book.The aim of this
contribution is to discuss the theoretical aspects of sucha quasilinear
description of statistically stationary jets. The basicquestions are: when does
such an approach is expected to be valid,why, what are the limitations and the
expected errors done doing suchapproximations?


title: Monostable Superantiwettability

abstract:
  Superantiwettability, including superhydrophobicity, is an enhanced effect of
surface ruggedness via the Cassie-Baxter wetting state, and has many
applications such as antifouling, drop manipulation, and self-cleaning.
However, superantiwettability is easily broken due to Cassie-Baxter to Wenzel
wetting state transition caused by various environmental disturbances. Since
all observed reverse transitions required energy inputs, it was believed that
the Cassie-Baxter state couldn't be monostable. Here we show that there is a
regime in the phase space of the receding contact angle and ruggedness
parameters in which a Wenzel state can automatically transit into the
Cassie-Baxter one without an external energy input, namely the Cassie-Baxter
state in this regime is monostable. We further find a simple criterion that
predicts very well experimentally observed Wenzel to Cassie-Baxter transitions
for different liquids placed on various pillar-structured substrates. These
results can be used as a guide for designing and engineering durable
superantiwetting surfaces.


title:
Detection and Visualization of Endoleaks in CT Data for Monitoring of
  Thoracic and Abdominal Aortic Aneurysm Stents

abstract:
  In this paper we present an efficient algorithm for the segmentation of the
inner and outer boundary of thoratic and abdominal aortic aneurysms (TAA & AAA)
in computed tomography angiography (CTA) acquisitions. The aneurysm
segmentation includes two steps: first, the inner boundary is segmented based
on a grey level model with two thresholds; then, an adapted active contour
model approach is applied to the more complicated outer boundary segmentation,
with its initialization based on the available inner boundary segmentation. An
opacity image, which aims at enhancing important features while reducing
spurious structures, is calculated from the CTA images and employed to guide
the deformation of the model. In addition, the active contour model is extended
by a constraint force that prevents intersections of the inner and outer
boundary and keeps the outer boundary at a distance, given by the thrombus
thickness, to the inner boundary. Based upon the segmentation results, we can
measure the aneurysm size at each centerline point on the centerline orthogonal
multiplanar reformatting (MPR) plane. Furthermore, a 3D TAA or AAA model is
reconstructed from the set of segmented contours, and the presence of endoleaks
is detected and highlighted. The implemented method has been evaluated on nine
clinical CTA data sets with variations in anatomy and location of the pathology
and has shown promising results.


title:
On the smallest eigenvalues of covariance matrices of multivariate
  spatial processes

abstract:
  There has been a growing interest in providing models for multivariate
spatial processes. A majority of these models specify a parametric matrix
covariance function. Based on observations, the parameters are estimated by
maximum likelihood or variants thereof. While the asymptotic properties of
maximum likelihood estimators for univariate spatial processes have been
analyzed in detail, maximum likelihood estimators for multivariate spatial
processes have not received their deserved attention yet. In this article we
consider the classical increasing-domain asymptotic setting restricting the
minimum distance between the locations. Then, one of the main components to be
studied from a theoretical point of view is the asymptotic positive
definiteness of the underlying covariance matrix. Based on very weak
assumptions on the matrix covariance function we show that the smallest
eigenvalue of the covariance matrix is asymptotically bounded away from zero.
Several practical implications are discussed as well.


title:
A Factorization Method and Monotonicity Bounds in Inverse Medium
  Scattering for Contrasts with Fixed Sign on the Boundary

abstract:
  We generalize the factorization method for inverse medium scattering using a
particular factorization of the difference of two far field operators. Whilst
the factorization method been used so far mainly to identify the shape of a
scatterer's support, we show that factorizations based on Dirichlet-to-Neumann
operators can be used to compute bounds for numerical values of the medium on
the boundary of its support. To this end, we generalize ideas from
inside-outside duality to obtain a monotonicity principle that allows for
alternative uniqueness proofs for particular inverse scattering problems (e.g.,
when obstacles are present inside the medium). This monotonicity principle
indeed is our most important technical tool: It further directly shows that the
boundary values of the medium's contrast function are uniquely determined by
the corresponding far field operator. Our particular factorization of far field
operators additionally implies that the factorization method rigorously
characterizes the support of an inhomogeneous medium if the contrast function
takes merely positive or negative values on the boundary of its support,
independent of the contrast's values inside its support. Finally, the
monotonicity principle yields a simple algorithm to compute upper and lower
bounds for these boundary values, assuming the support of the contrast is
known. Numerical experiments show feasibility of a resulting numerical
algorithm.


title:
Estimation of Total Fusion Reactivity and Contribution from Suprathermal
  Tail using 3-parameter Dagum Ion Speed Distribution

abstract:
  Thermonuclear fusion reactivity is a pivotal quantity in the studies
pertaining to fusion energy production, fusion ignition and energy break-even
analysis in both inertially and magnetically confined systems. Although nuclear
fusion reactivity and thereafter the power density of a magnetic confinement
fusion reactor and the fulfillment of the ignition criterion are quantitatively
determined by assuming the ion speed distribution to be Maxwellian, a
significant population of suprathermal ions,with energy greater than the
quasi-Maxwellian background plasma temperature, is generated by the fusion
reactions and auxiliary heating in the fusion devices. In the current work
3-parameter Dagum speed distribution has been introduced to include the effect
of suprathermal ion population in the calculation of total fusion reactivity.
The extent of enhancement in the fusion reactivity, at different back-ground
temperatures of the fusion fuel plasma, due to the suprathermal ion population
has also been discussed.


title: Joint Defogging and Demosaicking

abstract:
  Image defogging is a technique used extensively for enhancing visual quality
of images in bad weather condition. Even though defogging algorithms have been
well studied, defogging performance is degraded by demosaicking artifacts and
sensor noise amplification in distant scenes. In order to improve visual
quality of restored images, we propose a novel approach to perform defogging
and demosaicking simultaneously. We conclude that better defogging performance
with fewer artifacts can be achieved when a defogging algorithm is combined
with a demosaicking algorithm simultaneously. We also demonstrate that the
proposed joint algorithm has the benefit of suppressing noise amplification in
distant scene. In addition, we validate our theoretical analysis and
observations for both synthesized datasets with ground truth fog-free images
and natural scene datasets captured in a raw format.


title: Optilization of the gyroaverage operator based on hermite interpolation

abstract:
  Gyrokinetic modeling is appropriate for describing Tokamak plasma turbulence,
and the gyroaverage operator is a cornerstone of this approach. In a
gyrokinetic code, the gyroaveraging scheme needs to be accurate enough to avoid
spoiling the data but also requires a low computation cost because it is
applied often on the main unknown, the 5D guiding-center distribution function,
and on the 3D electric potentials. In the present paper, we improve a
gyroaverage scheme based on Hermite interpolation used in the Gysela code. This
initial implementation represents a too large fraction of the total execution
time. The gyroaverage operator has been reformulated and is now expressed as a
matrix-vector product and a cache-friendly algorithm has been setup. Different
techniques have been investigated to quicken the computations by more than a
factor two. Description of the algorithms is given, together with an analysis
of the achieved performance.


title:
Classification with Boosting of Extreme Learning Machine Over
  Arbitrarily Partitioned Data

abstract:
  Machine learning based computational intelligence methods are widely used to
analyze large scale data sets in this age of big data. Extracting useful
predictive modeling from these types of data sets is a challenging problem due
to their high complexity. Analyzing large amount of streaming data that can be
leveraged to derive business value is another complex problem to solve. With
high levels of data availability (\textit{i.e. Big Data}) automatic
classification of them has become an important and complex task. Hence, we
explore the power of applying MapReduce based Distributed AdaBoosting of
Extreme Learning Machine (ELM) to build a predictive bag of classification
models. Accordingly, (i) data set ensembles are created; (ii) ELM algorithm is
used to build weak learners (classifier functions); and (iii) builds a strong
learner from a set of weak learners. We applied this training model to the
benchmark knowledge discovery and data mining data sets.


title:
Robust Ensemble Classifier Combination Based on Noise Removal with
  One-Class SVM

abstract:
  In machine learning area, as the number of labeled input samples becomes very
large, it is very difficult to build a classification model because of input
data set is not fit in a memory in training phase of the algorithm, therefore,
it is necessary to utilize data partitioning to handle overall data set.
Bagging and boosting based data partitioning methods have been broadly used in
data mining and pattern recognition area. Both of these methods have shown a
great possibility for improving classification model performance. This study is
concerned with the analysis of data set partitioning with noise removal and its
impact on the performance of multiple classifier models. In this study, we
propose noise filtering preprocessing at each data set partition to increment
classifier model performance. We applied Gini impurity approach to find the
best split percentage of noise filter ratio. The filtered sub data set is then
used to train individual ensemble models.


title: Ergodicity of Markov chain Monte Carlo with reversible proposal

abstract:
  We describe ergodic properties of some Metropolis-Hastings (MH) algorithms
for heavy-tailed target distributions. The analysis usually falls into
sub-geometric ergodicity framework but we prove that the mixed preconditioned
Crank-Nicolson (MpCN) algorithm has geometric ergodicity even for heavy-tailed
target distributions. This useful property comes from the fact that the MpCN
algorithm becomes a random-walk Metropolis algorithm under suitable
transformation.


title:
Saturn's icy satellites investigated by Cassini - VIMS. IV. Daytime
  temperature maps

abstract:
  The spectral position of the 3.6 micron continuum peak measured on
Cassini-VIMS I/F spectra is used as a marker to infer the temperature of the
regolith particles covering the surfaces of Saturn's icy satellites. This
feature is characterizing the crystalline water ice spectrum which is the
dominant compositional endmember of the satellites' surfaces. Laboratory
measurements indicate that the position of the 3.6 micron peak of pure water
ice is temperature-dependent, shifting towards shorter wavelengths when the
sample is cooled, from about 3.65 micron at T=123 K to about 3.55 micron at
T=88 K. A similar method was already applied to VIMS Saturn's rings mosaics to
retrieve ring particles temperature (Filacchione et al., 2014). We report here
about the daytime temperature variations observed on the icy satellites as
derived from three different VIMS observation types. Temperature maps are built
by mining the complete VIMS dataset collected in years 2004-2009 (pre-equinox)
and in 2009-2012 (post equinox) by selecting pixels with max 150 km/pixel
resolution. VIMS-derived temperature maps allow to identify thermal anomalies
across the equatorial lens of Mimas and Tethys.


title:
On the analysis of tuberculosis studies with intermittent missing sputum
  data

abstract:
  In randomized studies evaluating treatments for tuberculosis (TB),
individuals are scheduled to be routinely evaluated for the presence of TB
using sputum cultures. One important endpoint in such studies is the time of
culture conversion, the first visit at which a patient's sputum culture is
negative and remains negative. This article addresses how to draw inference
about treatment effects when sputum cultures are intermittently missing on some
patients. We discuss inference under a novel benchmark assumption and under a
class of assumptions indexed by a treatment-specific sensitivity parameter that
quantify departures from the benchmark assumption. We motivate and illustrate
our approach using data from a randomized trial comparing the effectiveness of
two treatments for adult TB patients in Brazil.


title: Spectral rigidity of group actions on homogeneous spaces

abstract:
  Actions of a locally compact group G on a measure space X give rise to
unitary representations of G on Hilbert spaces. We review results on the
rigidity of these actions from the spectral point of view, that is, results
about the existence of a spectral gap for associated averaging operators and
their consequences. We will deal both with spaces X with an infinite measure as
well as with spaces with an invariant probability measure. The spectral gap
property has several striking applications to group theory, geometry, ergodic
theory, operator algebras, graph theory, theoretical computer science, etc.


title:
Multilevel branching splitting algorithm for estimating rare event
  probabilities

abstract:
  We analyse the splitting algorithm performance in the estimation of rare
event probabilities and this in a discrete multidimensional framework. For this
we assume that each threshold is partitioned into disjoint subsets and the
probability for a particle to reach the next threshold will depend on the
starting subset. A straightforward estimator of the rare event probability is
given by the proportion of simulated particles for which the rare event occurs.
The variance of this estimator we get is the sum of two parts: one part
resuming the variability due to each threshold and a second part resuming the
variability due to the thresholds number. This decomposition is analogous to
that of the continuous case. The optimal algorithm is then derived by
cancelling the first term leading to optimal thresholds. Then we compare this
variance with that of the algorithm in which one of the threshold has been
deleted. Finally, we investigate the sensitivity of the variance of the
estimator with respect to a shape deformation of an optimal threshold. As an
example, we consider a two-dimensional Ornstein-Uhlenbeck process with
conformal maps for shape deformation.


title: Spatial Recurrence for Ergodic Fractal Measures

abstract:
  We discuss an invertible version of Furstenberg's `Ergodic CP Shift Systems'.
We show that the explicit regularity of these dynamical systems with respect to
magnification of measures, implies certain regularity with respect to
translation of measures; We show that the translation action on measures is
non-singular, and prove pointwise discrete and continuous ergodic theorems for
the translation action.


title:
Identifying heterogeneous transgenerational DNA methylation sites via
  clustering in beta regression

abstract:
  This paper explores the transgenerational DNA methylation pattern (DNA
methylation transmitted from one generation to the next) via a clustering
approach. Beta regression is employed to model the transmission pattern from
parents to their offsprings at the population level. To facilitate this goal,
an expectation maximization algorithm for parameter estimation along with a BIC
criterion to determine the number of clusters is proposed. Applying our method
to the DNA methylation data composed of 4063 CpG sites of 41
mother-father-infant triads, we identified a set of CpG sites in which DNA
methylation transmission is dominated by fathers, while at a large number of
CpG sites, DNA methylation is mainly maternally transmitted to the offspring.


title:
Anderson localisation for infinitely many interacting particles in
  Hartree-Fock theory

abstract:
  We prove the occurrence of Anderson localisation for a system of infinitely
many particles interacting with a short range potential, within the ground
state Hartree-Fock approximation. We assume that the particles hop on a
discrete lattice and that they are submitted to an external periodic potential
which creates a gap in the non-interacting one particle Hamiltonian. We also
assume that the interaction is weak enough to preserve a gap. We prove that the
mean-field operator has exponentially localised eigenvectors, either on its
whole spectrum or at the edges of its bands, depending on the strength of the
disorder.


title: Scattering parabolic solutions for the spatial N-centre problem

abstract:
  For the $N$-centre problem in the three dimensional space, $$ \ddot x =
-\sum_{i=1}^{N} \frac{m_i \,(x-c_i)}{\vert x - c_i \vert^{\alpha+2}}, \qquad x
\in \mathbb{R}^3 \setminus \{c_1,\ldots,c_N\}, $$ where $N \geq 2$, $m_i > 0$
and $\alpha \in [1,2)$, we prove the existence of entire parabolic trajectories
having prescribed asymptotic directions. The proof relies on a variational
argument of min-max type. Morse index estimates and regularization techniques
are used in order to rule out the possible occurrence of collisions.


title:
Modeling competition between two pharmaceutical drugs using innovation
  diffusion models

abstract:
  The study of competition among brands in a common category is an interesting
strategic issue for involved firms. Sales monitoring and prediction of
competitors' performance represent relevant tools for management. In the
pharmaceutical market, the diffusion of product knowledge plays a special role,
different from the role it plays in other competing fields. This latent feature
naturally affects the evolution of drugs' performances in terms of the number
of packages sold. In this paper, we propose an innovation diffusion model that
takes the spread of knowledge into account. We are motivated by the need of
modeling competition of two antidiabetic drugs in the Italian market.


title:
Secure Multi-Party Computation Based Privacy Preserving Extreme Learning
  Machine Algorithm Over Vertically Distributed Data

abstract:
  Especially in the Big Data era, the usage of different classification methods
is increasing day by day. The success of these classification methods depends
on the effectiveness of learning methods. Extreme learning machine (ELM)
classification algorithm is a relatively new learning method built on
feed-forward neural-network. ELM classification algorithm is a simple and fast
method that can create a model from high-dimensional data sets. Traditional ELM
learning algorithm implicitly assumes complete access to whole data set. This
is a major privacy concern in most of cases. Sharing of private data (i.e.
medical records) is prevented because of security concerns. In this research,
we propose an efficient and secure privacy-preserving learning algorithm for
ELM classification over data that is vertically partitioned among several
parties. The new learning method preserves the privacy on numerical attributes,
builds a classification model without sharing private data without disclosing
the data of each party to others.


title: "Virus hunting" using radial distance weighted discrimination

abstract:
  Motivated by the challenge of using DNA-seq data to identify viruses in human
blood samples, we propose a novel classification algorithm called "Radial
Distance Weighted Discrimination" (or Radial DWD). This classifier is designed
for binary classification, assuming one class is surrounded by the other class
in very diverse radial directions, which is seen to be typical for our virus
detection data. This separation of the 2 classes in multiple radial directions
naturally motivates the development of Radial DWD. While classical machine
learning methods such as the Support Vector Machine and linear Distance
Weighted Discrimination can sometimes give reasonable answers for a given data
set, their generalizability is severely compromised because of the linear
separating boundary. Radial DWD addresses this challenge by using a more
appropriate (in this particular case) spherical separating boundary.
Simulations show that for appropriate radial contexts, this gives much better
generalizability than linear methods, and also much better than conventional
kernel based (nonlinear) Support Vector Machines, because the latter methods
essentially use much of the information in the data for determining the shape
of the separating boundary. The effectiveness of Radial DWD is demonstrated for
real virus detection.


title:
Wide-field Fourier ptychographic microscopy using laser illumination
  source

abstract:
  Fourier ptychographic (FP) microscope is a coherent imaging method that can
synthesize an image with a higher bandwidth using multiple low-bandwidth images
captured at different spatial frequency regions. The method's demand for
multiple images drives the need for a brighter illumination scheme and a
high-frame-rate camera for a faster acquisition. We report the use of a guided
laser beam as an illumination source for an FP microscope. It uses a mirror
array and a 2-dimensional scanning Galvo mirror system to provide a sample with
plane-wave illuminations at diverse incidence angles. The use of a laser
presents speckles in the image capturing process due to reflections between
glass surfaces in the system. They appear as slowly varying background
fluctuations in the final reconstructed image. We are able to mitigate these
artifacts by including a phase image obtained by differential phase contrast
(DPC) deconvolution in the FP algorithm. We use a 1-Watt laser configured to
provide a collimated beam with 150 mW of power and beam diameter of 1 cm to
allow for the total capturing time of 0.96 seconds for 96 raw FP input images
in our system, with the camera sensor's frame rate being the bottleneck for
speed. We demonstrate a factor of 4.25 resolution improvement using a 0.1 NA
objective lens over the full camera field-of-view of 2.7 mm by 1.5 mm.


title: A stochastic space-time model for intermittent precipitation occurrences

abstract:
  Modeling a precipitation field is challenging due to its intermittent and
highly scale-dependent nature. Motivated by the features of high-frequency
precipitation data from a network of rain gauges, we propose a threshold
space-time $t$ random field (tRF) model for 15-minute precipitation
occurrences. This model is constructed through a space-time Gaussian random
field (GRF) with random scaling varying along time or space and time. It can be
viewed as a generalization of the purely spatial tRF, and has a hierarchical
representation that allows for Bayesian interpretation. Developing appropriate
tools for evaluating precipitation models is a crucial part of the
model-building process, and we focus on evaluating whether models can produce
the observed conditional dry and rain probabilities given that some set of
neighboring sites all have rain or all have no rain. These conditional
probabilities show that the proposed space-time model has noticeable
improvements in some characteristics of joint rainfall occurrences for the data
we have considered.


title: Preservation of quantum key rate in the presence of decoherence

abstract:
  It is well known that the interaction of quantum systems with the environment
reduces the inherent quantum correlations. Under special circumstances the
effect of decoherence can be reversed, for example, the interaction modeled by
an amplitude damping channel can boost the teleportation fidelity from the
classical to the quantum region for a bipartite quantum state. Here, we first
show that this phenomena fails in the case of a quantum key distribution
protocol. We further show that the technique of weak measurement can be used to
slow down the process of decoherence, thereby helping to preserve the quantum
key rate when one or both systems are interacting with the environment via an
amplitude damping channel. Most interestingly, in certain cases weak
measurement with post-selection where one considers both success and failure of
the technique is shown to be more useful than without it when both systems
interact with the environment.


title: On the capabilities of survey telescopes of moderate size

abstract:
  To explore capabilities of moderate-size optical telescopes in surveys, the
set of 9 new wide-field designs having apertures up to 1 m is considered. All
but one systems have angular field of view in a range 3.5-10 degrees and flat
focal surface; the field of the last system is 45 degrees in diameter at the
0.5 m aperture and spherical focal surface. The complete description of the
optical layouts is given in the Appendix. Relations between the expected
limiting magnitude, survey speed and exposure time allow to choose the system
that is most suitable for a particular task of observations. In principle, a
single wide-field telescope with the aperture of approximately 1 m can detect
objects brighter than 22.5 magnitude over the entire hemisphere within one
night, however, the reliability of acquired data can be significantly increased
by using a hierarchic observational network comprised of telescopes with
optimized parameters.


title: Long time behavior of stochastic hard ball systems

abstract:
  We study the long time behavior of a system of $n=2,3$ Brownian hard balls,
living in $\mathbb{R}^d$ for $d\ge2$, submitted to a mutual attraction and to
elastic collisions.


title: Primes and prime ideals in short intervals

abstract:
  We prove the analog of Cram\'er's short intervals theorem for primes in
arithmetic progressions and prime ideals, under the relevant Riemann
Hypothesis. Both results are uniform in the data of the underlying structure.
Our approach is based mainly on the inertia property of the counting functions
of primes and prime ideals.


title:
Simulation of volatility modulated Volterra processes using hyperbolic
  stochastic partial differential equations

abstract:
  We propose a finite difference scheme to simulate solutions to a certain type
of hyperbolic stochastic partial differential equation (HSPDE). These solutions
can in turn estimate so called volatility modulated Volterra (VMV) processes
and L\'{e}vy semistationary (LSS) processes, which is a class of processes that
have been employed to model turbulence, tumor growth and electricity forward
and spot prices. We will see that our finite difference scheme converges to the
solution of the HSPDE as we take finer and finer partitions for our finite
difference scheme in both time and space. Finally, we demonstrate our method
with an example from the energy finance literature.


title:
Statistical development and assessment of summary measures to account
  for isotopic clustering of Fourier transform mass spectrometry data in
  clinical diagnostic studies

abstract:
  Mass spectrometry based clinical proteomics has emerged as a powerful tool
for highthroughput protein profiling and biomarker discovery. Recent
improvements in mass spectrometry technology have boosted the potential of
proteomic studies in biomedical research. However, the complexity of the
proteomic expression introduces new statistical challenges in summarizing and
analyzing the acquired data. Statistical methods for optimally processing
proteomic data are currently a growing field of research. In this paper we
present simple, yet appropriate methods to preprocess, summarize and analyze
high-throughput MALDI-FTICR mass spectrometry data, collected in a case-control
fashion, while dealing with the statistical challenges that accompany such
data. The known statistical properties of the isotopic distribution of the
peptide molecules are used to preprocess the spectra and translate the
proteomic expression into a condensed data set. Information on either the
intensity level or the shape of the identified isotopic clusters is used to
derive summary measures on which diagnostic rules for disease status allocation
will be based. Results indicate that both the shape of the identified isotopic
clusters and the overall intensity level carry information on the class outcome
and can be used to predict the presence or absence of the disease.


title:
Active Pixel Sensors in ams H18/H35 HV-CMOS Technology for the ATLAS
  HL-LHC Upgrade

abstract:
  Deep sub micron HV-CMOS processes offer the opportunity for sensors built by
industry standard techniques while being HV tolerant, making them good
candidates for drift-based, fast collecting, thus radiation-hard pixel
detectors. For the upgrade of the ATLAS Pixel Detector towards the HL-LHC
requirements, active pixel sensors in HV-CMOS technology were investigated.
These implement amplifier and discriminator stages directly in insulating deep
n-wells, which also act as collecting electrodes. The deep n-wells allow for
bias voltages up to 150V leading to a depletion depth of several 10um.
Prototype sensors in the ams H18 180nm and H35 350nm HV-CMOS processes have
been manufactured, acting as a potential drop-in replacement for the current
ATLAS Pixel sensors, thus leaving higher level processing such as trigger
handling to dedicated read-out chips.
  Sensors were thoroughly tested in lab measurements as well as in testbeam
experiments. Irradiation with X-rays and protons revealed a tolerance to
ionizing doses of 1Grad. An enlarged depletion zone of up to 100um thickness
after irradiation due to the acceptor removal effect was deduced from Edge-TCT
studies. The sensors showed high detection efficiencies after neutron
irradiation to 1e15 n_eq cm-2 in testbeam experiments.
  A full reticle size demonstrator chip, implemented in the H35 process is
being submitted to prove the large scale feasibility of the HV-CMOS concept.


title: Entanglement Chern Number of the Kane-Mele Model with Ferromagnetism

abstract:
  The entanglement Chern number, the Chern number for the entanglement
Hamiltonian, is used to charac- terize the Kane-Mele model, which is a typical
model of the quantum spin Hall phase with the time reversal symmetry. We first
obtain the global phase diagram of the Kane-Mele model in terms of the
entanglement spin Chern number, which is defined by using a spin subspace as a
subspace to be traced out in preparing the entanglement Hamiltonian. We further
demonstrate the effectiveness of the entanglement Chern number without the time
reversal symmetry and spin conservation by extending the Kane-Mele model to
include the Zeeman term. The numerical results confirm that the sum of the
entanglement spin Chern number equals to the Chern number.


title:
Searching PubMed for articles relevant to clinical interpretation of
  rare human genetic variants

abstract:
  Numerous challenges persist that delay clinical interpretation of human
genetic variants, to name a few: (1) un- structured PubMed articles are the
most abundant source of evidence, yet their variant annotations are difficult
to query uniformly, (2) variants can be reported many different ways, for
example as DNA sequence change or protein modification, (3) historical drift in
annotations over time between various genome reference assemblies and
transcript alignments, (4) no single laboratory has sufficient numbers of human
samples, necessitating precompetitive efforts to share evidence for clinical
interpretation.


title:
The Degree Distribution of Random Birth-and-Death Network with Network
  Size Decline

abstract:
  In this paper, we provide a general method to obtain the exact solutions of
the degree distributions for RBDN with network size decline. First by
stochastic process rules, the steady state transformation equations and steady
state degree distribution equations are given in the case of m>2, 0<p<1/2 ,
then the average degree of network with n nodes is introduced to calculate the
degree distribution. Especially, taking m=3 as an example, we explain the
detailed solving process, in which computer simulation is used to verify our
degree distribution solutions. In addition, the tail characteristics of the
degree distribution are discussed. Our findings suggest that the degree
distributions will exhibit Poisson tail property for the declining RBDN.


title:
On some examples of para-Hermite and para-K\"{a}hler Einstein spaces
  with $\Lambda \ne 0$

abstract:
  Spaces equipped with two complementary (distinct) congruences of self-dual
null strings and at least one congruence of anti-self-dual null strings are
considered. It is shown that if such spaces are Einsteinian then the vacuum
Einstein field equations can be reduced to a single nonlinear partial
differential equation of the second order. Different forms of these equations
are analyzed. Finally, several new explicit metrics of the para-Hermite and
para-K\"{a}hler Einstein spaces with $\Lambda \ne 0$ are presented. Some
relation of that metrics to a modern approach to mechanical issues is
discussed.


title: Security of quantum key distribution with non-I.I.D. light sources

abstract:
  Although quantum key distribution (QKD) is theoretically secure, there is a
gap between the theory and practice. In fact, real-life QKD may not be secure
because component devices in QKD systems may deviate from the theoretical
models assumed in security proofs. To solve this problem, it is necessary to
construct the security proof under realistic assumptions on the source and
measurement unit. In this paper, we prove the security of a QKD protocol under
practical assumptions on the source that accommodate fluctuation of the phase
and intensity modulations. As long as our assumptions hold, it does not matter
at all how the phase and intensity distribute nor whether or not their
distributions over different pulses are independently and identically
distributed (I.I.D.). Our work shows that practical sources can be safely
employed in QKD experiments.


title:
Calculus of the exponent of Kurdyka-{\L}ojasiewicz inequality and its
  applications to linear convergence of first-order methods

abstract:
  In this paper, we study the Kurdyka-{\L}ojasiewicz (KL) exponent, an
important quantity for analyzing the convergence rate of first-order methods.
Specifically, we develop various calculus rules to deduce the KL exponent of
new (possibly nonconvex and nonsmooth) functions formed from functions with
known KL exponents. In addition, we show that the well-studied Luo-Tseng error
bound together with a mild assumption on the separation of stationary values
implies that the KL exponent is $\frac12$. The Luo-Tseng error bound is known
to hold for a large class of concrete structured optimization problems, and
thus we deduce the KL exponent of a large class of functions whose exponents
were previously unknown. Building upon this and the calculus rules, we are then
able to show that for many convex or nonconvex optimization models for
applications such as sparse recovery, their objective function's KL exponent is
$\frac12$. This includes the least squares problem with smoothly clipped
absolute deviation (SCAD) regularization or minimax concave penalty (MCP)
regularization and the logistic regression problem with $\ell_1$
regularization. Since many existing local convergence rate analysis for
first-order methods in the nonconvex scenario relies on the KL exponent, our
results enable us to obtain explicit convergence rate for various first-order
methods when they are applied to a large variety of practical optimization
models. Finally, we further illustrate how our results can be applied to
establishing local linear convergence of the proximal gradient algorithm and
the inertial proximal algorithm with constant step-sizes for some specific
models that arise in sparse recovery.


title: Stable sets in {ISK4,wheel}-free graphs

abstract:
  An ISK4 in a graph G is an induced subgraph of G that is isomorphic to a
subdivision of K4 (the complete graph on four vertices). A wheel is a graph
that consists of a chordless cycle, together with a vertex that has at least
three neighbors in the cycle. A graph is {ISK4,wheel}-free if it has no ISK4
and does not contain a wheel as an induced subgraph. We give an
O(|V(G)|^7)-time algorithm to compute the maximum weight of a stable set in an
input weighted {ISK4,wheel}-free graph G with non-negative integer weights.


title:
Search for supersymmetry in pp collisions at sqrt(s) = 8 TeV in final
  states with boosted W bosons and b jets using razor variables

abstract:
  A search for supersymmetry in hadronic final states with highly boosted W
bosons and b jets is presented, focusing on compressed scenarios. The search is
performed using proton-proton collision data at a center-of-mass energy of 8
TeV, collected by the CMS experiment at the LHC, corresponding to an integrated
luminosity of 19.7 inverse femtobarns. Events containing candidates for
hadronic decays of boosted W bosons are identified using jet substructure
techniques, and are analyzed using the razor variables M[R] and R^2, which
characterize a possible signal as a peak on a smoothly falling background. The
observed event yields in the signal regions are found to be consistent with the
expected contributions from standard model processes, which are predicted using
control samples in the data. The results are interpreted in terms of
gluino-pair production followed by their exclusive decay into top squarks and
top quarks. The analysis excludes gluino masses up to 1.1 TeV for light top
squarks decaying solely to a charm quark and a neutralino, and up to 700 GeV
for heavier top squarks decaying solely to a top quark and a neutralino.


title: Gamma-Ray emission from SN2014J near maximum optical light

abstract:
  The optical light curve of Type Ia supernovae (SNIa) is powered by
thermalized gamma-rays produced by the decay of 56Ni and 56Co, the main
radioactive isotopes synthesized by the thermonuclear explosion of a C/O white
dwarf. Gamma-rays escaping the ejecta can be used as a diagnostic tool for
studying the characteristics of the explosion. In particular, it is expected
that the analysis of the early gamma emission, near the maximum of the optical
light curve, could provide information about the distribution of the
radioactive elements in the debris. In this paper, the gamma data obtained from
SN2014J in M82 by the instruments on board of INTEGRAL are analyzed taking
special care of the impact that the detailed spectral response has on the
measurements of the intensity of the lines. The 158 keV emission of 56Ni has
been detected in SN2014J at ~5 sigma at low energy with both ISGRI and SPI
around the maximum of the optical light curve. After correcting the spectral
response of the detector, the fluxes in the lines suggest that, in addition to
the bulk of radioactive elements buried in the central layers of the debris,
there is a plume of 56Ni, with a significance of ~3 sigma, moving at high
velocity and receding from the observer. The mass of the plume is in the range
of ~ 0.03-0.08 solar masses. No SNIa explosion model had predicted the mass and
geometrical distribution of 56Ni suggested here. According to its optical
properties, SN2014J looks as a normal SNIa. So it is extremely important to
discern if it is also representative in the gamma-ray band.


title: Spinorial Representation of Submanifolds in Riemannian Space Forms

abstract:
  In this paper we give a spinorial representation of submanifolds of any
dimension and codimension into Riemannian space forms in terms of the existence
of so called generalized Killing spinors. We then discuss several applications,
among them a new and concise proof of the fundamental theorem of submanifold
theory. We also recover results of T. Friedrich, B. Morel and the authors in
dimension 2 and 3.


title: Hetero-Junction of Two Quantum Wires: Critical Line and Duality

abstract:
  Applying the Fermi-Bose equivalence and the boundary state formulation, we
study the hetero-junction of two quantum wires. Two quantum wires are described
by Tomonaga-Luttinger (TL) liquids with different TL parameters and electrons
transport between two wires is depicted by a simple hopping interaction. We
calculate the radiative corrections to the hopping interaction and obtain the
renormalization (RG) exponent, making use of the perturbation theory based on
the boundary state formulation. The model exhibits a phase transition at zero
temperature. We discuss the critical line which defines the phase boundary on
the two dimensional parameter space. The model also exhibits the particle-kink
duality, which maps the strong coupling regime of the model onto the weak
coupling regime of the dual model. The strong coupling regime of the model is
found to match exactly the weak coupling regime of the dual model. This model
is also important to study the critical behaviors of the two dimensional
dissipative system with anisotropic friction coefficients.


title: More on the initial singularity problem in gravity's rainbow cosmology

abstract:
  Using a one-dimensional minisuperspace model with a dimensionless ratio
$\frac{E}{E_{Pl}}$, we study the initial singularity problem at the quantum
level for the closed rainbow cosmology with a homogeneous, isotropic classical
space-time background. We derive the classical Hamiltonian within the framework
of Schutz's formalism for an ideal fluid with a cosmological constant. We
characterize the behavior of the system at the early stages of the universe
evolution through analyzing the relevant shapes for the potential sector of the
classical Hamiltonian for various matter sources, each separately modified by
two rainbow functions. We show that for both rainbow universe models presented
here, there is the possibility of eliminating the initial singularity by
forming a potential barrier and static universe for a non-zero value of the
scale factor. We investigate their quantum stability and show that for an
energy-dependent space-time geometry with energies comparable with the Planck
energy, the non-zero value of the scale factor may be stable. It is shown that
under certain constraints the rainbow universe model filled with an exotic
matter as a domain wall fluid plus a cosmological constant can result in a
non-singular harmonic universe. In addition, we demonstrate that the
harmonically oscillating universe with respect to the scale factor is sensitive
to $\frac{E}{E_{Pl}}$ and that at high energies it may become stable quantum
mechanically. Through a Schr\"{o}dinger-Wheeler-De Witt (SWD) equation obtained
from the quantization of the classical Hamiltonian, we also extract the wave
packet of the universe with a focus on the early stages of the evolution.


title: The Parkes HI Zone of Avoidance Survey

abstract:
  A blind HI survey of the extragalactic sky behind the southern Milky Way has
been conducted with the multibeam receiver on the 64-m Parkes radio telescope.
The survey covers the Galactic longitude range 212 < l < 36 and Galactic
latitudes |b| < 5, and yields 883 galaxies to a recessional velocity of 12,000
km/s. The survey covers the sky within the HIPASS area to greater sensitivity,
finding lower HI-mass galaxies at all distances, and probing more completely
the large-scale structures at and beyond the distance of the Great Attractor.
Fifty-one percent of the HI detections have an optical/NIR counterpart in the
literature. A further 27% have new counterparts found in existing, or newly
obtained, optical/NIR images. The counterpart rate drops in regions of high
foreground stellar crowding and extinction, and for low-HI mass objects. Only
8% of all counterparts have a previous optical redshift measurement. A notable
new galaxy is HIZOA J1353-58, a possible companion to the Circinus galaxy.
Merging this catalog with the similarly-conducted northern extension (Donley et
al. 2005), large-scale structures are delineated, including those within the
Puppis and Great Attractor regions, and the Local Void. Several
newly-identified structures are revealed here for the first time. Three new
galaxy concentrations (NW1, NW2 and NW3) are key in confirming the diagonal
crossing of the Great Attractor Wall between the Norma cluster and the CIZA
J1324.7-5736 cluster. Further contributors to the general mass overdensity in
that area are two new clusters (CW1 and CW2) in the nearer Centaurus Wall, one
of which forms part of the striking 180 deg (100/h Mpc) long filament that
dominates the southern sky at velocities of ~3000 km/s, and the suggestion of a
further Wall at the Great Attractor distance at slightly higher longitudes.


title:
Globally Optimal Energy-Efficient Power Control and Receiver Design in
  Wireless Networks

abstract:
  The characterization of the global maximum of energy efficiency (EE) problems
in wireless networks is a challenging problem due to the non-convex nature of
investigated problems in interference channels. The aim of this work is to
develop a new and general framework to achieve globally optimal solutions.
First, the hidden monotonic structure of the most common EE maximization
problems is exploited jointly with fractional programming theory to obtain
globally optimal solutions with exponential complexity in the number of network
links. To overcome this issue, we also propose a framework to compute
suboptimal power control strategies characterized by affordable complexity.
This is achieved by merging fractional programming and sequential optimization.
The proposed monotonic framework is used to shed light on the ultimate
performance of wireless networks in terms of EE and also to benchmark the
performance of the lower-complexity framework based on sequential programming.
Numerical evidence is provided to show that the sequential fractional
programming framework achieves global optimality in several practical
communication scenarios.


title:
Blocklength-Limited Performance of Relaying under Quasi-Static Rayleigh
  Channels

abstract:
  In this paper, the blocklength-limited performance of a relaying system is
studied, where channels are assumed to experience quasi-static Rayleigh fading
while at the same time only the average channel state information (CSI) is
available at the source. Both the physical-layer performance
(blocklength-limited throughput) and the link-layer performance (effective
capacity) of the relaying system are investigated. We propose a simple system
operation by introducing a factor based on which we weight the average CSI and
let the source determine the coding rate accordingly. In particular, we prove
that both the blocklength-limited throughput and the effective capacity are
quasi-concave in the weight factor. Through numerical investigations, we show
the appropriateness of our theoretical model. In addition, we observe that
relaying is more efficient than direct transmission. Moreover, this performance
advantage of relaying under the average CSI scenario is more significant than
under the perfect CSI scenario. Finally, the speed of convergence (between the
blocklength-limited performance and the performance in the Shannon capacity
regime) in relaying system is faster in comparison to the direct transmission
under both the average CSI scenario and the perfect CSI scenario.


title: Oscillating propagators in heavy-dense QCD

abstract:
  Using Monte Carlo simulations and extended mean field theory calculations we
show that the $3$-dimensional $Z_3$ spin model with complex external fields has
non-monotonic spatial correlators in some regions of its parameter space. This
model serves as a proxy for heavy-dense QCD in $(3+1)$ dimensions.
Non-monotonic spatial correlators are intrinsically related to a complex mass
spectrum and a liquid-like (or crystalline) behavior. A liquid phase could have
implications for heavy-ion experiments, where it could leave detectable signals
in the spatial correlations of baryons.


title: Assembling topological insulators with lasers

abstract:
  Despite the realizations of spin-orbit (SO) coupling and synthetic gauge
fields in optical lattices, the associated time-reversal symmetry breaking, and
1D nature of the observed SO coupling pose challenges to obtain intrinsic $Z_2$
topological insulator. We propose here a model optical device for engineering
intrinsic $Z_2$ topological insulator which can be easily set up with the
existing tools. The device is made of a periodic lattice of quantum
mechanically connected atomic wires (dubbed SO wires) in which the laser
generated SO coupling ($\alpha_{\bf k}$, with ${\bf k}$ being the momentum) is
reversed in every alternating wires as $\pm\alpha_{\bf k}$. The associated
small Zeeman terms are also automatically reversed in any two adjacent SO
wires, which allow to effectively restore the global time-reversal (TR)
symmetry. Therefore, the two SO wires serve as the TR partner to each other
which is an important ingredient for $Z_2$ topological insulators according to
the Kane-Mele model. These properties ensure a non-trivial $Z_2$ invariant
topological insulator phase with protected edge states. We also discuss that a
non-local current measurement can be used to detect the chiral edge states.


title:
Kiloparsec Mass/Light Offsets in the Galaxy Pair-Ly$\alpha$ Emitter Lens
  System SDSS\,J1011$+$0143

abstract:
  We report the discovery of significant mass/light offsets in the strong
gravitational lensing system SDSS\,J1011$+$0143. We use the high-resolution
\textsl{Hubble Space Telescope} (\textsl{HST}) F555W- and F814W-band imaging
and Sloan Digital Sky Survey (SDSS) spectroscopy of this system, which consists
of a close galaxy pair with a projected separation of $\approx 4.2$ kpc at
$z_{\rm lens} \sim 0.331$ lensing a Ly$\alpha$ emitter (LAE) at $z_{\rm source}
= 2.701$. Comparisons between the mass peaks inferred from lens models and
light peaks from \textsl{HST} imaging data reveal significant spatial
mass/light offsets as large as $1.72 \pm 0.24 \pm 0.34$ kpc in both filter
bands. Such large mass/light offsets, not seen in isolated field lens galaxies
and relaxed galaxy groups, may be related to the interactions between the two
lens galaxies. The detected mass/light offsets can potentially serve as an
important test for the self-interacting dark matter model. However, other
mechanisms such as dynamical friction on spatially differently distributed dark
matter and stars could produce similar offsets. Detailed hydrodynamical
simulations of galaxy-galaxy interactions with self-interacting dark matter
could accurately quantify the effects of different mechanisms. The background
LAE is found to contain three distinct star-forming knots with characteristic
sizes from 116 pc to 438 pc. It highlights the power of strong gravitational
lensing in probing the otherwise too faint and unresolved structures of
distance objects below subkiloparsec or even 100 pc scales through its
magnification effect.


title:
A Precise Determination of the Mid-Infrared Interstellar Extinction Law
  Based on the APOGEE Spectroscopic Survey

abstract:
  A precise measure of the mid-infrared interstellar extinction law is crucial
to the investigation of the properties of interstellar dust, especially of the
grains in the large size end. Based on the stellar parameters derived from the
SDSS-III/APOGEE spectroscopic survey, we select a large sample of G- and K-type
giants as the tracers of the Galactic mid-infrared extinction. We calculate the
intrinsic stellar color excesses from the stellar effective temperatures and
use them to determine the mid-infrared extinction for a given line of sight.
For the entire sky of the Milky Way surveyed by APOGEE, we derive the
extinction (relative to the K$_{\rm S}$ band at wavelength $\lambda=2.16\mu$m)
for the four WISE bands at 3.4, 4.6, 12 and 22$\mu$m, the four Spitzer/IRAC
bands at 3.6, 4.5, 5.8 and 8$\mu$m, the Spitzer/MIPS24 band at 23.7$\mu$m and
for the first time, the AKARI/S9W band at 8.23$\mu$m. Our results agree with
previous works in that the extinction curve is flat in the ~3--8$\mu$m
wavelength range and is generally consistent with the $R_V=5.5$ model curve
except our determination exceeds the model prediction in the WISE/W4 band.
Although some previous works found that the mid-IR extinction law appears to
vary with the extinction depth $A_{\rm{K_S}}$, no noticeable variation has been
found in this work. The uncertainties are analyzed in terms of the bootstrap
resampling method and Monte-Carlo simulation and are found to be rather small.


title:
Fluctuation of matrix entries and application to outliers of elliptic
  matrices

abstract:
  For any family of $N\times N$ random matrices $(\mathbf{A}_k)_{k\in K}$ which
is invariant, in law, under unitary conjugation, we give general sufficient
conditions for central limit theorems for random variables of the type
$\operatorname{Tr}(\mathbf{A}_k \mathbf{M})$, where the matrix $\mathbf{M}$ is
deterministic (such random variables include for example the normalized matrix
entries of the $\mathbf{A}_k$'s). A consequence is the asymptotic independence
of the projection of the matrices $\mathbf{A}_k$ onto the subspace of null
trace matrices from their projections onto the orthogonal of this subspace.
These results are used to study the asymptotic behavior of the outliers of a
spiked elliptic random matrix. More precisely, we show that the fluctuations of
these outliers around their limits can have various rates of convergence,
depending on the Jordan Canonical Form of the additive perturbation. Also, some
correlations can arise between outliers at a macroscopic distance from each
other. These phenomena have already been observed by Benaych-Georges and Rochet
with random matrices from the Single Ring Theorem.


title: Prediction of phonon-mediated superconductivity in borophene

abstract:
  Superconductivity in two-dimensional compounds is widely concerned, not only
due to its application in constructing nano-superconducting devices, but also
for the general scientific interests. Very recently, borophene (two-dimensional
boron sheet) has been successfully grown on the Ag(111) surface, through direct
evaporation of a pure boron source. The experiment unveiled two types of
borophene structures, namely $\beta_{12}$ and $\chi_3$. Herein, we employed
density-functional first-principles calculations to investigate the
electron-phonon coupling and superconductivity in both structures of borophene.
The band structures of $\beta_{12}$ and $\chi_3$ borophenes exhibit inherent
metallicity. We found electron-phonon coupling constants in the two compounds
are larger than that in MgB$_2$. The superconducting transition temperatures
were determined to be 18.7 K and 24.7 K through McMillian-Allen-Dynes formula.
These temperatures are much higher than theoretically predicted 8.1 K and
experimentally observed 7.4 K superconductivity in graphene. Our findings will
enrich the nano-superconducting device applications and boron-related material
science.


title: A quantitative theory for the continuity equation

abstract:
  In this work, we provide stability estimates for the continuity equation with
Sobolev vector fields. The results are inferred from contraction estimates for
certain logarithmic Kantorovich--Rubinstein distances. As a by-product, we
obtain a new proof of uniqueness in the DiPerna--Lions setting. The novelty in
the proof lies in the fact that it is not based on the theory of renormalized
solutions.


title:
Structure of Tate-Shafarevich groups of elliptic curves over global
  function fields

abstract:
  The structure of the Tate-Shafarevich groups of a class of elliptic curves
over global function fields is determined. These are known to be finite abelian
groups from the monograph [1] and hence they are direct sums of finite cyclic
groups where the orders of these cyclic components are invariants of the
Tate-Shafarevich group. This decomposition of the Tate-Shafarevich groups into
direct sums of finite cyclic groups depends on the behaviour of
Drinfeld-Heegner points on these elliptic curves. These are points analogous to
Heegner points on elliptic curves over the rational numbers.


title: Spectroscopic study of Be-shell stars: 4 Her and 88 Her

abstract:
  We present the optical spectroscopic study based on 41 spectra of 4 Her and
32 spectra of 88 Her, obtained over a period of 6 months. We estimate the
rotational velocity of these stars from He{\sc i} lines in the blue spectral
region (4000--4500 \AA). We find that these stars are likely to be rotating at
a fractional critical rotation of $\sim$ 0.80. We measure the average $I_p/I_c$
ratio to quantify the strength of the H$\alpha$ line and obtain 1.63 for 4 Her
and 2.06 for 88 Her. The radius of the H$\alpha$ emission region is estimated
to be $R_d/R_*$ $\sim$ 5.0, assuming a Keplerian disk. These stars are thus
found to be fast rotators with relatively small H$\alpha$ emission region. We
detect V/R variation of H$\alpha$ spectral line during the observed period. We
re-estimate the periods for both the stars and obtain two periods of $\sim$ 46
days and its harmonic of 23.095 days for 4 Her and $\sim$ 86 days for 88 Her.
As these two are shell stars with binaries and have low H$\alpha$ EW with the
emission region closer to the central star, the V/R variation and a change in
period may be an effect of the binary on the circumstellar disk.


title: Nested Mini-Batch K-Means

abstract:
  A new algorithm is proposed which accelerates the mini-batch k-means
algorithm of Sculley (2010) by using the distance bounding approach of Elkan
(2003). We argue that, when incorporating distance bounds into a mini-batch
algorithm, already used data should preferentially be reused. To this end we
propose using nested mini-batches, whereby data in a mini-batch at iteration t
is automatically reused at iteration t+1.
  Using nested mini-batches presents two difficulties. The first is that
unbalanced use of data can bias estimates, which we resolve by ensuring that
each data sample contributes exactly once to centroids. The second is in
choosing mini-batch sizes, which we address by balancing premature fine-tuning
of centroids with redundancy induced slow-down. Experiments show that the
resulting nmbatch algorithm is very effective, often arriving within 1% of the
empirical minimum 100 times earlier than the standard mini-batch algorithm.


title: Testing a Quantum Heat Pump with a Two-Level Spin

abstract:
  Once in its non-equilibrium steady state, a nanoscale system coupled to
several heat baths may be thought-of as a quantum heat pump. Depending on the
direction of its stationary heat flows it may function as e.g. a refrigerator
or a heat transformer. These continuous heat devices can be arbitrarily complex
multipartite systems, and yet their working principle is always the same: They
are made up of several elementary three-level stages operating in parallel. As
a result, it is possible to devise external black-box testing strategies to
learn about their functionality and performance regardless of any internal
details. In particular, one such heat pump can be tested by coupling a
two-level spin to one of its contact transitions. The steady state of this
external probe contains information about the presence of heat leaks and
internal dissipation in the device, and also, about the direction of its
steady-state heat currents. Provided that the irreversibility of the heat pump
is low, one can further estimate its coefficient of performance. These
techniques may find applications in the emerging field of quantum thermal
engineering, as they facilitate the diagnosis and design optimization of
complex thermodynamic cycles.


title: Schwinger-Dyson functional in Chern-Simons theory

abstract:
  In perturbative SU(N) Chern-Simons gauge theory, it is shown that the
Schwinger-Dyson equations assume a quite simplified form. The generating
functional of the correlation functions of the curvature is considered; it is
demonstrated that the renormalized Schwinger-Dyson functional is related with
the generating functional of the correlation functions of the gauge connections
by some kind of duality transformation.


title:
The symmetry-adapted configurational ensemble approach to the computer
  simulation of site-disordered solids

abstract:
  Site-occupancy disorder, defined as the non-periodic occupation of lattice
sites in a crystal structure, is a ubiquitous phenomenon in solid-state physics
and chemistry. Examples are mineral solid solutions, synthetic
non-stoichiometric compounds and metal alloys. The experimental investigation
of these materials using diffraction techniques only provides averaged
information of their structure. However, many properties of interest in these
solids are determined by the local geometry and degree of disorder, which
escape an "average crystal" description, either from experiments or from
theory. In this paper, we describe a methodology for the computer simulation of
site-disordered solids, based on the consideration of configurational ensembles
and statistical mechanics, where the number of occupancy configurations is
reduced by taking advantage of the crystal symmetry of the lattice.
Thermodynamics and non-thermodynamic properties are then defined from the
statistics in the symmetry-adapted configurational ensemble. We will briefly
summarize and discuss some recent applications of this methodology to problems
in materials science.


title:
Challenges of Integrating A Priori Information Efficiently in the
  Discovery of Spatio-Temporal Objects in Large Databases

abstract:
  Using the knowledge discovery framework, it is possible to explore object
databases and extract groups of objects with highly heterogeneous movement
behavior by efficiently integrating a priori knowledge through interacting with
the framework. The whole process is modular expandable and is therefore
adaptive to any problem formulation. Further, the flexible use of different
information allocation processes reveal a great potential to efficiently
incorporate the a priori knowledge of different users in different ways.
Therefore, the stepwise knowledge discovery process embedded in the knowledge
discovery framework is described in detail to point out the flexibility of such
a system incorporating object databases from different applications. The
described framework can be used to gain knowledge out of object databases in
many different fields. This knowledge can be used to gain further insights and
improve the understanding of underlying phenomena. The functionality of the
proposed framework is exemplarily demonstrated using a benchmark database based
on real biological object data.


title:
Parameterization of the level-resolved radiative recombination rate
  coefficients for the SPEX code

abstract:
  The level-resolved radiative recombination (RR) rate coefficients for H-like
to Na-like ions from H (Z = 1) up to and including Zn (Z = 30) are studied
here. For H-like ions, the quantum-mechanical exact photoionization cross
sections for nonrelativistic hydrogenic systems are used to calculate the RR
rate coefficients under the principle of detailed balance, while for He-like to
Na-like ions, the archival data on ADAS are adopted. Parameterizations are made
for the direct capture rates in a wide temperature range. The fitting
accuracies are better than 5% for about 99% of the 30, 000 levels considered
here. The 1% exceptions include levels from low- charged many-electron ions,
and/or high-shell (n>=4) levels are less important in terms of interpreting
X-ray emitting astrophysical plasmas. The RR data will be incorporated into the
high-resolution spectral analysis package SPEX.


title: On the codimension growth of almost nilpotent Lie algebras

abstract:
  We study codimension growth of infinite dimensional Lie algebras over a field
of characteristic zero. We prove that if a Lie algebra $L$ is an extension of a
nilpotent algebra by a finite dimensional semisimple algebra then the
PI-exponent of $L$ exists and is a positive integer.


title:
Mixing Times of Markov Chains on Degree Constrained Orientations of
  Planar Graphs

abstract:
  We study Markov chains for $\alpha$-orientations of plane graphs, these are
orientations where the outdegree of each vertex is prescribed by the value of a
given function $\alpha$. The set of $\alpha$-orientations of a plane graph has
a natural distributive lattice structure. The moves of the up-down Markov chain
on this distributive lattice corresponds to reversals of directed facial cycles
in the $\alpha$-orientation. We have a positive and several negative results
regarding the mixing time of such Markov chains.
  A 2-orientation of a plane quadrangulation is an orientation where every
inner vertex has outdegree 2. We show that there is a class of plane
quadrangulations such that the up-down Markov chain on the 2-orientations of
these quadrangulations is slowly mixing. On the other hand the chain is rapidly
mixing on 2-orientations of quadrangulations with maximum degree at most 4.
  Regarding examples for slow mixing we also revisit the case of 3-orientations
of triangulations which has been studied before by Miracle et al.. Our examples
for slow mixing are simpler and have a smaller maximum degree, Finally we
present the first example of a function $\alpha$ and a class of plane
triangulations of constant maximum degree such that the up-down Markov chain on
the $\alpha$-orientations of these graphs is slowly mixing.


title: Numerical invariants of identities of unital algebras

abstract:
  We study polynomial identities of algebras with adjoined external unit. For a
wide class of algebras we prove that adjoining external unit element leads to
increasing of PI-exponent precisely to 1. We also show that any real number
from the interval [2,3] can be realized as PI-exponent of some unital algebra.


title:
On the Evaluation of Plug-in Electric Vehicle Data of a Campus Charging
  Network

abstract:
  The mass adoption of plug-in electric vehicles (PEVs) requires the deployment
of public charging stations. Such facilities are expected to employ distributed
generation and storage units to reduce the stress on the grid and boost
sustainable transportation. While prior work has made considerable progress in
deriving insights for understanding the adverse impacts of PEV chargings and
how to alleviate them, a critical issue that affects the accuracy is the lack
of real world PEV data. As the dynamics and pertinent design of such charging
stations heavily depend on actual customer demand profile, in this paper we
present and evaluate the data obtained from a $17$ node charging network
equipped with Level $2$ chargers at a major North American University campus.
The data is recorded for $166$ weeks starting from late $2011$. The result
indicates that the majority of the customers use charging lots to extend their
driving ranges. Also, the demand profile shows that there is a tremendous
opportunity to employ solar generation to fuel the vehicles as there is a
correlation between the peak customer demand and solar irradiation. Also, we
provided a more detailed data analysis and show how to use this information in
designing future sustainable charging facilities.


title: Fast phase retrieval for high dimensions: A block-based approach

abstract:
  This paper addresses fundamental scaling issues that hinder phase retrieval
(PR) in high dimensions. We show that, if the measurement matrix can be put
into a generalized block-diagonal form, a large PR problem can be solved on
separate blocks, at the cost of a few extra global measurements to merge the
partial results. We illustrate this principle using two distinct PR methods,
and discuss different design trade-offs. Experimental results indicate that
this block-based PR framework can reduce computational cost and memory
requirements by several orders of magnitude.


title: The connected brain: Causality, models and intrinsic dynamics

abstract:
  Recently, there have been several concerted international efforts - the BRAIN
initiative, European Human Brain Project and the Human Connectome Project, to
name a few - that hope to revolutionize our understanding of the connected
brain. Over the past two decades, functional neuroimaging has emerged as the
predominant technique in systems neuroscience. This is foreshadowed by an ever
increasing number of publications on functional connectivity, causal modeling,
connectomics, and multivariate analyses of distributed patterns of brain
responses. In this article, we summarize pedagogically the (deep) history of
brain mapping. We will highlight the theoretical advances made in the (dynamic)
causal modelling of brain function - that may have escaped the wider audience
of this article - and provide a brief overview of recent developments and
interesting clinical applications. We hope that this article will engage the
signal processing community by showcasing the inherently multidisciplinary
nature of this important topic and the intriguing questions that are being
addressed.


title: Marked boundary rigidity for surfaces

abstract:
  We show that, on an oriented compact surface, two sufficiently $C^2$-close
Riemannian metrics with strictly convex boundary, no conjugate points,
hyperbolic trapped set for their geodesic flows, and same marked boundary
distance, are isometric via a diffeomorphism that fixes the boundary. We also
prove that the same conclusion holds on a compact surface for any two
negatively curved Riemannian metrics with strictly convex boundary and same
marked boundary distance, extending a result of Croke and Otal.


title:
Separation of Wigner structures for 2D equimolar binary mixtures of
  Coulomb particles

abstract:
  We study the lowest energy configurations of an equimolar binary mixture of
classical pointlike particles with charges $Q_1$ and $Q_2$, such that
$q=Q_2/Q_1\in [0,1]$. The particles interact pairwisely via 3D Coulomb
potential and are confined to a 2D plane with a homogeneous neutralizing
background charge density. In a recent paper by M. Antlanger and G. Kahl [Cond.
Mat. Phys. {\bf 16}, 43501 (2013)], using numerical computations based on
evolutionary algorithm, six fully mixed structures were identified for $0\le
q\lesssim 0.59$, while the separation of $Q_1$ and $Q_2$ pure hexagonal phases
minimizes the energy for $0.59\lesssim q<1$. Here, we introduce a novel
structure which consists in the separation of two phases, the pure hexagonal
one formed by a fraction of particles with the larger charge $Q_1$ and the
other fixed one containing different numbers of $Q_1$ and $Q_2$ charges. Using
an analytic method based on an expansion of the interaction energy in Misra
functions we show that this novel structure provides the lowest energy in two
intervals of $q$ values, $0<q\lesssim 0.04707$ and $0.58895\lesssim q\lesssim
0.61367$. This fact might inspire numerical methods, for both Coulomb and
Yukawa interactions, to test more general separations which go beyond the
separation of two pure phases.


title:
Measuring nanoscale magnetic write head fields using a hybrid quantum
  register

abstract:
  The generation and control of nanoscale magnetic fields are of fundamental
interest in material science and a wide range of applications. Nanoscale
magnetic resonance imaging quantum spintronics for example require single spin
control with high precision and nanoscale spatial resolution using fast
switchable magnetic fields with large gradients. Yet, characterizing those
fields on nanometer length scales at high band width with arbitrary orientation
has not been possible so far. Here we demonstrate single electron and nuclear
spin coherent control using the magnetic field of a hard disc drive write head.
We use single electron spins for measuring fields with high spatial resolution
and single nuclear spins for large band width measurements. We are able to
derive field profiles from coherent spin Rabi oscillations close to GHz in
fields with gradients of up to 10 mT/nm and measure all components of a static
and dynamic magnetic field independent of its orientation. Our method paves the
way for precision measurement of the magnetic fields of nanoscale write heads
important for future miniaturization of the devices.


title:
Weak oddness as an approximation of oddness and resistance in cubic
  graphs

abstract:
  We introduce weak oddness $\omega_{\textrm w}$, a new measure of
uncolourability of cubic graphs, defined as the least number of odd components
in an even factor. For every bridgeless cubic graph $G$,
$\rho(G)\le\omega_{\textrm w}(G)\le\omega(G)$, where $\rho(G)$ denotes the
resistance of $G$ and $\omega(G)$ denotes the oddness of $G$, so this new
measure is an approximation of both oddness and resistance. We demonstrate that
there are graphs $G$ satisfying $\rho(G) < \omega_{\textrm w}(G) < \omega(G)$,
and that the difference between any two of those three measures can be
arbitrarily large. The construction implies that if we replace a vertex of a
cubic graph with a triangle, then its oddness can decrease by an arbitrarily
large amount.


title:
Spoofing detection under noisy conditions: a preliminary investigation
  and an initial database

abstract:
  Spoofing detection for automatic speaker verification (ASV), which is to
discriminate between live speech and attacks, has received increasing
attentions recently. However, all the previous studies have been done on the
clean data without significant additive noise. To simulate the real-life
scenarios, we perform a preliminary investigation of spoofing detection under
additive noisy conditions, and also describe an initial database for this task.
The noisy database is based on the ASVspoof challenge 2015 database and
generated by artificially adding background noises at different signal-to-noise
ratios (SNRs). Five different additive noises are included. Our preliminary
results show that using the model trained from clean data, the system
performance degrades significantly in noisy conditions. Phase-based feature is
more noise robust than magnitude-based features. And the systems perform
significantly differ under different noise scenarios.


title:
Optical Observations of the Type Ia Supernova 2011fe in M101 for Nearly
  500 Days

abstract:
  We present well-sampled optical observations of the bright Type Ia supernova
(SN~Ia) SN 2011fe in M101. Our data, starting from $\sim16$ days before maximum
light and extending to $\sim463$ days after maximum, provide an unprecedented
time series of spectra and photometry for a normal SN~Ia. Fitting the
early-time rising light curve, we find that the luminosity evolution of SN
2011fe follows a $t^n$ law, with the index $n$ being close to 2.0 in the $VRI$
bands but slightly larger in the $U$ and $B$ bands. Combining the published
ultraviolet (UV) and near-infrared (NIR) photometry, we derive the contribution
of UV/NIR emission relative to the optical. SN 2011fe is found to have stronger
UV emission and reaches its UV peak a few days earlier than other SNe~Ia with
similar $\Delta m_{15}(B)$, suggestive of less trapping of high-energy photons
in the ejecta. Moreover, the $U$-band light curve shows a notably faster
decline at late phases ($t\approx 100$--300 days), which also suggests that the
ejecta may be relatively transparent to UV photons. These results favor the
notion that SN 2011fe might have a progenitor system with relatively lower
metallicity. On the other hand, the early-phase spectra exhibit prominent
high-velocity features (HVFs) of O~I $\lambda$7773 and the Ca~II~NIR triplet,
but only barely detectable in Si~II~6355. This difference can be caused either
by an ionization/temperature effect or an abundance enhancement scenario for
the formation of HVFs; it suggests that the photospheric temperature of SN
2011fe is intrinsically low, perhaps owing to incomplete burning during the
explosion of the white dwarf.


title:
Multi-scale modeling of dislocation-precipitate interactions in Fe: from
  molecular dynamics to discrete dislocations

abstract:
  The stress-driven motion of dislocations in crystalline solids, and thus the
ensuing plastic deformation process, is greatly influenced by the presence or
absence of various point-like defects such as precipitates or solute atoms.
These defects act as obstacles for dislocation motion and hence affect the
mechanical properties of the material. Here we combine molecular dynamics
studies with three-dimensional discrete dislocation dynamics simulations in
order to model the interaction between different kinds of precipitates and a
$\frac{1}{2}\langle 1 1 1\rangle$ $\{1 1 0\}$ edge dislocation in BCC iron. We
have implemented immobile spherical precipitates into the ParaDis discrete
dislocation dynamics code, with the dislocations interacting with the
precipitates via a Gaussian potential, generating a normal force acting on the
dislocation segments. The parameters used in the discrete dislocation dynamics
simulations for the precipitate potential, the dislocation mobility, shear
modulus and dislocation core energy are obtained from molecular dynamics
simulations. We compare the critical stresses needed to unpin the dislocation
from the precipitate in molecular dynamics and discrete dislocation dynamics
simulations in order to fit the two methods together, and discuss the variety
of the relevant pinning/depinning mechanisms.


title: Asymptotic arbitrage in fractional mixed markets

abstract:
  We consider a family of mixed processes given as the sum of a fractional
Brownian motion with Hurst parameter $H\in(3/4,1)$ and a multiple of an
independent standard Brownian motion, the family being indexed by the scaling
factor in front of the Brownian motion. We analyze the underlying markets with
methods from large financial markets. More precisely, we show the existence of
a strong asymptotic arbitrage (defined as in Kabanov and Kramkov [Finance
Stoch. 2(2), 143--172 (1998)]) when the scaling factor converges to zero. We
apply a result of Kabanov and Kramkov [Finance Stoch. 2(2), 143--172 (1998)]
that characterizes the notion of strong asymptotic arbitrage in terms of the
entire asymptotic separation of two sequences of probability measures. The main
part of the paper consists of proving the entire separation and is based on a
dichotomy result for sequences of Gaussian measures and the concept of relative
entropy.


title: Conformal Spectral Stability Estimates for the Neumann Laplacian

abstract:
  We study the eigenvalue problem for the Neumann-Laplace operator in conformal
regular planar domains $\Omega\subset\mathbb{C}$. Conformal regular domains
support the Poincar\'e inequality and this allows us to estimate the variation
of the eigenvalues of the Neumann Laplacian upon domain perturbation via energy
type integrals. Boundaries of such domains can have any Hausdorff dimension
between one and two.


title:
Argument shift method and sectional operators: applications to
  differential geometry

abstract:
  This paper does not contain any new results, it is just an attempt to
present, in a systematic way, one construction which establishes an interesting
relationship between some ideas and notions well-known in the theory of
integrable systems on Lie algebras and a rather different area of mathematics
studying projectively equivalent Riemannian and pseudo-Riemannian metrics.


title: $q$-Bernstein functions and applications

abstract:
  We characterize of the $q$-Bernstein functions in terms of $q$-Laplace
transform. Moreover, we present several results of $q$-completely monotonic,
$q$-log completely monotonic and $q$-Bernstein functions.


title: The impact of the off-diagonal cross-shell interaction on $^{14}$C

abstract:
  The shell-model investigation is performed to show the impact on the
structure of $^{14}$C contributed by the off-diagonal cross-shell interaction,
$\langle pp \mid$V$\mid sdsd\rangle$, which represents the mixing between the
$0$ and $2\hbar\omega$ configurations in the $psd$ model space. Observed levels
of the positive states in $^{14}$C can be nicely described in $0-4\hbar\omega$
or a larger model space through the well defined Hamiltonians, YSOX and WBP,
with a reduction on the strength of the $\langle pp \mid$V$\mid sdsd\rangle$
interaction in the latter. The observed B(GT) values for $^{14}$C can be
generally described by YSOX, while WBP and their modifications on the $\langle
pp \mid$V$\mid sdsd\rangle$ interaction fail for some values. Further
investigation shows the effect of such interaction on the configuration mixing
and occupancy. The present work shows examples on how the off-diagonal
cross-shell interaction strongly drives the nuclear structure.


title: Minimal Charts

abstract:
  In this paper, we give definitions of three kinds of minimal charts, and we
investigate properties of minimal charts and establish fundamental theorems
characterizing minimal charts. To classify charts with two or three crossings
we use the fundamental theorems. In the future paper, we give an numeration of
the charts with two crossings.


title: EPR Paradox, Quantum Nonlocality and Physical Reality

abstract:
  Eighty years ago Einstein demonstrated that a particular interpretation of
the reduction of wave function led to a paradox and that this paradox
disappeared if statistical interpretation of quantum mechanics was adopted.
According to the statistical interpretation a wave function describes only an
ensemble of identically prepared physical systems. Searching for an intuitive
explanation of long range correlations between outcomes of distant
measurements, performed on pairs of physical systems prepared in a spin singlet
state, John Bell analysed local realistic hidden variable models and proved
that correlations consistent with these models satisfy Bell inequalities which
are violated by some predictions of quantum mechanics. Several different local
models were constructed, various inequalities proven and shown to be violated
by experimental data. Some physicists concluded that Nature is definitely not
local. We strongly disagree with this conclusion and we critically analyze some
influential finite sample proofs of various inequalities and so called quantum
Randi challenges. We also show how one can win so called Bell game.The
violation of inequalities does not prove that local and causal explanation of
correlations is impossible. The violation of inequalities gives only a strong
argument against counterfactual definiteness and against a point of view
according to which experimental outcomes are produced in irreducible random
way. We also explain the meaning of sample homogeneity loophole and show how it
can invalidate statistical significance tests. We point out that this loophole
was not closed in several recent experiments testing local realism.


title:
Discrepancies between CFHTLenS cosmic shear & Planck: new physics or
  systematic effects?

abstract:
  There is currently a discrepancy in the measured value of the amplitude of
matter clustering, parameterised using $\sigma_8$, inferred from galaxy weak
lensing, and cosmic microwave background data, which could be an indication of
new physics, such as massive neutrinos or a modification to the gravity law, or
baryon feedback. In this paper we make the assumption that the cosmological
parameters are well determined by Planck, and use weak lensing data to
investigate the implications for baryon feedback and massive neutrinos, as well
as possible contributions from intrinsic alignments and biases in photometric
redshifts. We apply a non-parametric approach to model the baryonic feedback on
the dark matter clustering, which is flexible enough to reproduce the OWLS and
Illustris simulation results. The statistic we use, 3D cosmic shear, is a
method that extracts cosmological information from weak lensing data using a
spherical-Bessel function power spectrum approach. We analyse the CFHTLenS weak
lensing data and, assuming best fit cosmological parameters from the Planck CMB
experiment, find that there is no evidence for baryonic feedback on the dark
matter power spectrum, but there is evidence for a bias in the photometric
redshifts in the CFHTLenS data, consistent with a completely independent
analysis by Choi et al. (2015), based on spectroscopic redshifts; and that
these conclusions are robust to assumptions about the intrinsic alignment
systematic. We also find an upper limit on the sum of neutrino masses
conditional on other $\Lambda$CDM parameters being fixed, of $< 0.28$ eV
($1\sigma$).


title: Kinetic formulation of vortex vector fields

abstract:
  This article focuses on gradient vector fields of unit Euclidean norm in
$\mathbb{R}^N$ . The stream functions associated to such vector fields solve
the eikonal equation and the prototype is given by the distance function to a
closed set. We introduce a kinetic formulation that characterizes stream
functions whose level sets are either spheres or hyperplanes in dimension $N
\geq 3$. Our main result proves that the kinetic formulation is a selection
principle for the vortex vector field whose stream function is the distance
function to a point.


title:
Holographic Conformal Partial Waves as Gravitational Open Wilson
  Networks

abstract:
  We propose a method to holographically compute the conformal partial waves in
any decomposition of correlation functions of primary operators in conformal
field theories using open Wilson network operators in the holographic
gravitational dual. The Wilson operators are the gravitational ones where
gravity is written as a gauge theory in the first order Hilbert-Palatini
formalism. We apply this method to compute the global conformal blocks and
partial waves in 2d CFTs reproducing many of the known results.


title: Quantum states entanglement in hemoglobin molecule active center

abstract:
  An ab initio study of the electronic and spin configuration for the iron ion
in the active center of the human hemoglobin molecule is presented. It is well
known that the iron ion, being surrounded by the porphyrin ring and the
ligands, plays the key role in the realization of the basic oxygen-transport
functions of the molecule. This work is focused on the investigation the
features of the 3$d$-shell electronic states of the iron ion located inside the
active center of the hemoglobin molecule. Also in this paper we study in detail
the changes in these states occurring during the oxidation process. We use a
combination of the Density Functional Theory (DFT) method and the Dynamical
Mean Field Theory (DMFT) approach. This method allows to consider dynamic
correlation effects that are important in the description of systems containing
transition metal ions. It was found that the state of the valence electrons of
the iron ion of the active center of hemoglobin molecule is the entangled
quantum state. This state is a mixture of several electronic states with
comparable statistical probability. Furthermore, it was found that the process
of the bond formation between the iron-porphyrin complex and the oxygen
molecule is more complex than a simple high-spin to low-spin state of the Fe
ion transition. The transition metal ion oxidation is accompanied by
substantial redistribution of the states probabilities and the increasing of
the entanglement degree. This process also leads to the reduction of the total
spin moment from $s\approx$2.1 for the FeP(Im) to $s\approx$1.7 for the
FeP(Im)(O$_2$).


title: A Kernel Test of Goodness of Fit

abstract:
  We propose a nonparametric statistical test for goodness-of-fit: given a set
of samples, the test determines how likely it is that these were generated from
a target density function. The measure of goodness-of-fit is a divergence
constructed via Stein's method using functions from a Reproducing Kernel
Hilbert Space. Our test statistic is based on an empirical estimate of this
divergence, taking the form of a V-statistic in terms of the log gradients of
the target density and the kernel. We derive a statistical test, both for
i.i.d. and non-i.i.d. samples, where we estimate the null distribution
quantiles using a wild bootstrap procedure. We apply our test to quantifying
convergence of approximate Markov Chain Monte Carlo methods, statistical model
criticism, and evaluating quality of fit vs model complexity in nonparametric
density estimation.


title:
Efficacy of the SU(3) scheme for ab initio large-scale calculations
  beyond the lightest nuclei

abstract:
  We report on the computational characteristics of ab initio nuclear structure
calculations in a symmetry-adapted no-core shell model (SA-NCSM) framework. We
examine the computational complexity of the current implementation of the
SA-NCSM approach, dubbed LSU3shell, by analyzing ab initio results for 6Li and
12C in large harmonic oscillator model spaces and SU(3)-selected subspaces. We
demonstrate LSU3shell's strong-scaling properties achieved with highly-parallel
methods for computing the many-body matrix elements. Results compare favorably
with complete model space calculations and significant memory savings are
achieved in physically important applications. In particular, a well-chosen
symmetry-adapted basis affords memory savings in calculations of states with a
fixed total angular momentum in large model spaces while exactly preserving
translational invariance.


title: Destabilization of a flow focused suspension of magnetotactic bacteria

abstract:
  Active matter is a new class of material, intrinsically out-of equilibrium
with intriguing properties. So far, the recent upsurge of studies has mostly
focused on the spontaneous behavior of these systems --in the absence of
external constraints or driving--. Yet, many real life systems evolve under
constraints, being both submitted to flow and various taxis. In the present
work, we demonstrate a new experimental system which opens up the way for
quantitative investigations, and discriminating examinations, of the
challenging theoretical description of such systems. We explore the behavior of
magnetotactic bacteria as a particularly rich and versatile class of driven
matter, which behavior can be studied under contrasting and contradicting
stimuli. In particular we demonstrate that the competing driving of an
orienting magnetic field and hydrodynamic flow lead not only to jetting, but
also unveils a new pearling instability. This illustrates new structuring
capabilities of driven active matter.


title: Bourgain-Brezis-Mironescu formula for magnetic operators

abstract:
  We prove a Brezis-Bourgain-Mironescu type formula for a class of nonlocal
magnetic spaces, which builds a bridge between a fractional magnetic operator
recently introduced and the classical theory.


title: The classification of chiral WZW models by $H^4_+(BG,\mathbb Z)$

abstract:
  We axiomatize the defining properties of chiral WZW models. We show that such
models are in almost bijective correspondence with pairs $(G,k)$, where $G$ is
a connected Lie group and $k \in H^4_+(BG,\mathbb Z)$ is a degree four
cohomology class subject to a certain positivity condition. We find a couple
extra models which satisfy all the defining properties of chiral WZW models,
but which don't come from pairs $(G,k)$ as above. The simplest such model is
the simple current extension of the affine VOA $E_8 \times E_8$ at level
$(2,2)$ by the group $\mathbb Z_2$.


title:
Jet-Intracluster Medium interaction in Hydra A. II The Effect of Jet
  Precession

abstract:
  We present three dimensional relativistic hydrodynamical simulations of a
precessing jet interacting with the intracluster medium and compare the
simulated jet structure with the observed structure of the Hydra A northern
jet. For the simulations, we use jet parameters obtained in the parameter space
study of the first paper in this series and probe different values for the
precession period and precession angle. We find that for a precession period P
= 1 Myr and a precession angle = 20 degree the model reproduces i) the
curvature of the jet, ii) the correct number of bright knots within 20 kpc at
approximately correct locations, and iii) the turbulent transition of the jet
to a plume. The Mach number of the advancing bow shock = 1.85 is indicative of
gentle cluster atmosphere heating during the early stages of the AGN's
activity.


title:
Analysis of a high order unfitted finite element method for elliptic
  interface problems

abstract:
  In the context of unfitted finite element discretizations the realization of
high order methods is challenging due to the fact that the geometry
approximation has to be sufficiently accurate. We consider a new unfitted
finite element method which achieves a high order approximation of the geometry
for domains which are implicitly described by smooth level set functions. The
method is based on a parametric mapping which transforms a piecewise planar
interface (or surface) reconstruction to a high order approximation. Both
components, the piecewise planar interface reconstruction and the parametric
mapping are easy to implement. In this paper we present an a priori error
analysis of the method applied to an interface problem. The analysis reveals
optimal order error bounds for the geometry approximation and for the finite
element approximation, for arbitrary high order discretization. The theoretical
results are confirmed in numerical experiments.


title: Thompson's group $F$ is not Liouville

abstract:
  We prove that random walks on Thompson's group $F$ driven by strictly
non-degenerate finitely supported probability measures $\mu$ have a non-trivial
Poisson boundary. The proof consists in an explicit construction of two
different non-trivial $\mu$-boundaries. Both of them are defined in terms of
the Schreier graph $\Gamma$ on the dyadic-rational orbit of the canonical
action of $F$ on the unit interval (actually, we consider a natural embedding
of $F$ into the group $PLF({\mathbb R})$ of piecewise linear homeomorphisms of
the real line, and realize $\Gamma$ on the dyadic-rational orbit in ${\mathbb
R}$). However, the behaviours at infinity described by these $\mu$-boundaries
are quite different (in perfect keeping with the ambivalence concerning
amenability of the group $F$). The first $\mu$-boundary is similar to the
boundaries of the lamplighter groups: it consists of ${\mathbb Z}$-valued
configurations on $\Gamma$ arising from the stabilization of the logarithmic
increments of slopes along the sample paths of the random walk. The second
$\mu$-boundary is more similar to the boundaries of groups with hyperbolic
properties as it consists of the sections of the end bundle of the graph
$\Gamma$: these are the collections of the limit ends of the induced random
walk on $\Gamma$ parameterized by all possible starting points.


title:
Excitonic terahertz absorption in semiconductors with effective-mass
  anisotropies

abstract:
  A microscopic approach is developed to compute the excitonic properties and
the corresponding terahertz response for semiconductors characterized by
anisotropic effective masses. The approach is illustrated for the example of
germanium where it is shown that the anisotropic electron mass in the L-valley
leads to two distinct terahertz absorption resonances separated by 0.8 meV.