title:
Questioning the reliability of estimates of enzyme inhibitor constant:
  Case of competitive inhibition

abstract:
  Reliability of kinetic parameters are crucial in understanding enzyme
kinetics within cellular system. The present study suggests a few cautions that
need introspection for estimation of parameters like K(M), V(max) and K(I)
using Lineweaver-Burk plots. The quality of IC(50) too needs a thorough
reinvestigation because of its direct link with K(I) and K(M) values.
Inhibition kinetics under both steady-state and non-steady-state conditions are
studied and errors in estimated parameters are compared against actual values
to settle the question of their adequacy.


title:
Makespan Optimal Solving of Cooperative Path-Finding via Reductions to
  Propositional Satisfiability

abstract:
  The problem of makespan optimal solving of cooperative path finding (CPF) is
addressed in this paper. The task in CPF is to relocate a group of agents in a
non-colliding way so that each agent eventually reaches its goal location from
the given initial location. The abstraction adopted in this work assumes that
agents are discrete items moving in an undirected graph by traversing edges.
Makespan optimal solving of CPF means to generate solutions that are as short
as possi-ble in terms of the total number of time steps required for the
execution of the solution.
  We show that reducing CPF to propositional satisfiability (SAT) represents a
viable option for obtaining makespan optimal solutions. Several encodings of
CPF into propositional formulae are suggested and experimentally evaluated. The
evaluation indicates that SAT based CPF solving outperforms other makespan
optimal methods significantly in highly constrained situations (environments
that are densely occupied by agents).


title: Iterated convolutions and endless Riemann surfaces

abstract:
  We discuss a version of \'Ecalle's definition of resurgence, based on the
notion of endless continuability in the Borel plane. We relate this with the
notion of \Omega-continuability, where \Omega\ is a discrete filtered set, and
show how to construct a universal Riemann surface X_\Omega\ whose holomorphic
functions are in one-to-one correspondence with \Omega-continuable functions.
We then discuss the \Omega-continuability of convolution products and give
estimates for iterated convolutions of the form \hat\phi_1*\cdots *\hat\phi_n.
This allows us to handle nonlinear operations with resurgent series, e.g.
substitution into a convergent power series.


title:
Perfect fluid dark matter influence on thermodynamics and phase
  transition for a Reissner-Nordstrom-anti-de Sitter black hole

abstract:
  Based on Reissner-Nordstrom-anti-de Sitter(RN-AdS) black hole surrounded by
perfect fluid dark matter, we study the thermodynamics and phase transition by
extending the phase space defined by the charge square $Q^{2}$ and the
conjugate quantity $\psi$, where $\psi$ is a function of horizon radius. The
first law of thermodynamics and the equation of state are derived in the form
$Q^{2}=Q^{2}(T,\psi)$. By investigating the critical behaviour of perfect fluid
dark matter around Reissner-Nordstrom-anti-de Sitter black hole, we find that
these thermodynamics system are similar to Van der Waals system, and can be
explained by mean field theory. We also explore the Ruppeiner thermodynamic
geometry feature and their connection with microscopic structure. We find that
in extended phase space there existence singularity points of Ruppeiner
curvature and it's could explained as phase transitions.


title: Predict Moves

abstract:
  Mobile applications and on-body devices are becoming increasingly ubiquitous
tools for physical activity tracking. We propose utilizing a self-tracker's
habits to support continuous prediction of whether they will reach their daily
step goal, thus enabling a variety of potential persuasive interventions. Our
aim is to improve the prediction by leveraging historical data and other
qualitative (motivation for using the systems, location, gender) and,
quantitative (age) features. We have collected datasets from two activity
tracking platforms (Moves and Fitbit) and aim to check if the model we derive
from one is generalizable over the other. In the following paper we establish a
pipeline for extracting the data and formatting it for modeling. We discuss the
approach we took and our findings while selecting the features and
classification models for the dataset. We further discuss the notion of
generalizability of the model across different types of dataset and the
probable inclusion of non standard features to further improve the model's
accuracy.


title: Two-dimensional isochronous nonstandard Hamiltonian systems

abstract:
  We identify a generic class of two dimensional nonstandard Hamiltonian
systems which exhibit isochronous behaviour. This class of systems belongs to
the two dimensional mixed Li\'enard- type equations and is obtained by
generalizing the scalar modified Emden equation (MEE) to two dimensions. We
show that the generalized class of equations admits a Hamiltonian description
and exhibits periodic and quasi-periodic oscillations for suitable choice of
parameters and also $\emph PT$ symmetric property.


title:
Acylindrical hyperbolicity of the three-dimensional tame automorphism
  group

abstract:
  We prove that the group STame($k^3$) of special tame automorphisms of the
affine 3-space is not simple, over any base field of characteristic zero. Our
proof is based on the study of the geometry of a 2-dimensional simply-connected
simplicial complex C on which the tame automorphism group acts naturally. We
prove that C is contractible and Gromov-hyperbolic, and we prove that
Tame($k^3$) is acylindrically hyperbolic by finding explicit loxodromic weakly
proper discontinuous elements.


title: An introduction to higher Auslander-Reiten theory

abstract:
  This article consists of an introduction to Iyama's higher Auslander-Reiten
theory for Artin algebras from the viewpoint of higher homological algebra. We
provide alternative proofs of the basic results in higher Auslander-Reiten
theory, including the existence of $d$-almost-split sequences in
$d$-cluster-tilting subcategories, following the approach to classical
Auslander-Reiten theory due to Auslander, Reiten, and Smal{\o}. We show that
Krause's proof of Auslander's defect formula can be adapted to give a new proof
of the defect formula for $d$-exact sequences. We use the defect formula to
establish the existence of morphisms determined by objects in
$d$-cluster-tilting subcategories.


title:
Discovery of Broad Molecular lines and of Shocked Molecular Hydrogen
  from the Supernova Remnant G357.7+0.3: HHSMT, APEX, Spitzer and SOFIA
  Observations

abstract:
  We report a discovery of shocked gas from the supernova remnant (SNR)
G357.7+0.3. Our millimeter and submillimeter observations reveal broad
molecular lines of CO(2-1), CO(3-2), CO(4-3), 13CO (2-1) and 13CO (3-2), HCO^+
and HCN using HHSMT, Arizona 12-Meter Telescope, APEX and MOPRA Telescope. The
widths of the broad lines are 15-30 kms, and the detection of such broad lines
is unambiguous, dynamic evidence showing that the SNR G357.7+0.3 is interacting
with molecular clouds. The broad lines appear in extended regions (>4.5'x5').
We also present detection of shocked H2 emission in mid-infrared but lacking
ionic lines using the Spitzer IRS observations to map a few arcmin area. The H2
excitation diagram shows a best-fit with a two-temperature LTE model with the
temperatures of ~200 and 660 K. We observed [C II] at 158um and high-J
CO(11-10) with the GREAT on SOFIA. The GREAT spectrum of [C II], a 3 sigma
detection, shows a broad line profile with a width of 15.7 km/s that is similar
to those of broad CO molecular lines. The line width of [C~II] implies that
ionic lines can come from a low-velocity C-shock. Comparison of H2 emission
with shock models shows that a combination of two C-shock models is favored
over a combination of C- and J-shocks or a single shock. We estimate the CO
density, column density, and temperature using a RADEX model. The best-fit
model with n(H2) = 1.7x10^{4} cm^{-3}, N(CO) = 5.6x10^{16} cm^{-2}, and T = 75
K can reproduce the observed millimeter CO brightnesses.


title:
Isotopic dependence of impurity transport driven by ion temperature
  gradient turbulence

abstract:
  Hydrogenic ion mass effects, namely the isotopic effects on impurity
transport driven by ion temperature gradient (ITG) turbulence are investigated
using gyrokinetic theory. For non-trace impurities, changing from hydrogen (H)
to deuterium (D), and to tritium (T) plasmas, the outward flux for lower
(higher) ionized impurities or for lighter (heavier) impurities is found to
decrease (increase), although isotopic dependence of ITG linear growth rate is
weak. This is mainly due to the decrease of outward (inward) convection, while
the isotopic dependence of diffusion is relatively weak. In addition, the
isotopic effects reduce (enhance) the impurity flux of fully ionized carbon
(C6+) for weaker (stronger) magnetic shear. In trace impurity limit, the
isotopic effects are found to reduce the accumulation of high-Z tungsten (W).
Moreover, the isotopic effects on the peaking factor (PF) of trace high-Z W get
stronger with stronger magnetic shear.


title: Personalized Machine Translation: Preserving Original Author Traits

abstract:
  The language that we produce reflects our personality, and various personal
and demographic characteristics can be detected in natural language texts. We
focus on one particular personal trait of the author, gender, and study how it
is manifested in original texts and in translations. We show that author's
gender has a powerful, clear signal in originals texts, but this signal is
obfuscated in human and machine translation. We then propose simple
domain-adaptation techniques that help retain the original gender traits in the
translation, without harming the quality of the translation, thereby creating
more personalized machine translation systems.


title:
Towards the Leveraging of Data Deduplication to Break the Disk
  Acquisition Speed Limit

abstract:
  Digital forensic evidence acquisition speed is traditionally limited by two
main factors: the read speed of the storage device being investigated, i.e.,
the read speed of the disk, memory, remote storage, mobile device, etc.), and
the write speed of the system used for storing the acquired data. Digital
forensic investigators can somewhat mitigate the latter issue through the use
of high-speed storage options, such as networked RAID storage, in the
controlled environment of the forensic laboratory. However, traditionally,
little can be done to improve the acquisition speed past its physical read
speed from the target device itself. The protracted time taken for data
acquisition wastes digital forensic experts' time, contributes to digital
forensic investigation backlogs worldwide, and delays pertinent information
from potentially influencing the direction of an investigation. In a remote
acquisition scenario, a third contributing factor can also become a detriment
to the overall acquisition time - typically the Internet upload speed of the
acquisition system. This paper explores an alternative to the traditional
evidence acquisition model through the leveraging of a forensic data
deduplication system. The advantages that a deduplicated approach can provide
over the current digital forensic evidence acquisition process are outlined and
some preliminary results of a prototype implementation are discussed.


title: An Interactive Machine Learning Framework

abstract:
  Machine learning (ML) is believed to be an effective and efficient tool to
build reliable prediction model or extract useful structure from an avalanche
of data. However, ML is also criticized by its difficulty in interpretation and
complicated parameter tuning. In contrast, visualization is able to well
organize and visually encode the entangled information in data and guild
audiences to simpler perceptual inferences and analytic thinking. But large
scale and high dimensional data will usually lead to the failure of many
visualization methods. In this paper, we close a loop between ML and
visualization via interaction between ML algorithm and users, so machine
intelligence and human intelligence can cooperate and improve each other in a
mutually rewarding way. In particular, we propose "transparent boosting tree
(TBT)", which visualizes both the model structure and prediction statistics of
each step in the learning process of gradient boosting tree to user, and
involves user's feedback operations to trees into the learning process. In TBT,
ML is in charge of updating weights in learning model and filtering information
shown to user from the big data, while visualization is in charge of providing
a visual understanding of ML model to facilitate user exploration. It combines
the advantages of both ML in big data statistics and human in decision making
based on domain knowledge. We develop a user friendly interface for this novel
learning method, and apply it to two datasets collected from real applications.
Our study shows that making ML transparent by using interactive visualization
can significantly improve the exploration of ML algorithms, give rise to novel
insights of ML models, and integrates both machine and human intelligence.


title: Expenditure Aware Rating Prediction for Recommendation

abstract:
  The rating score prediction is widely studied in recommender system, which
predicts the rating scores of users on items through making use of the
user-item interaction information. Besides the rating information between users
and items, lots of additional information have been employed to promote
recommendations, such as social relation and geographic location. Expenditure
information on each transaction between users and items is widely available on
e-commerce websites, often appearing next to the rating information, while
there is seldom study on the correlation between expenditures and rating
scores. In this paper, we first study their correlations in real data sets and
propose the expenditure aware rating prediction problem. From the data sets
crawled from a well-known social media platform Dianping in China, we find some
insightful correlations between expenditures and rating scores: 1) transactions
or experiences with higher expenditures usually lead to higher rating scores;
2) when the real expenditures are higher than users' normal spending behavior,
the users usually give higher scores; and 3) there are multiple grades of
expenditure behaviors. Based on these three observations, we propose an
Expenditure ware RatingPrediction method (EARP), based on low-rank matrix
factorization, to effectively incorporate the expenditure information.
Extensive experiments on five real data sets show that EARP not only always
outperforms other state-of-the-art baselines but also discovers the latent
characteristics of users and businesses.


title: Real-time analysis of cataract surgery videos using statistical models

abstract:
  The automatic analysis of the surgical process, from videos recorded during
surgeries, could be very useful to surgeons, both for training and for
acquiring new techniques. The training process could be optimized by
automatically providing some targeted recommendations or warnings, similar to
the expert surgeon's guidance. In this paper, we propose to reuse videos
recorded and stored during cataract surgeries to perform the analysis. The
proposed system allows to automatically recognize, in real time, what the
surgeon is doing: what surgical phase or, more precisely, what surgical step he
or she is performing. This recognition relies on the inference of a multilevel
statistical model which uses 1) the conditional relations between levels of
description (steps and phases) and 2) the temporal relations among steps and
among phases. The model accepts two types of inputs: 1) the presence of
surgical tools, manually provided by the surgeons, or 2) motion in videos,
automatically analyzed through the Content Based Video retrieval (CBVR)
paradigm. Different data-driven statistical models are evaluated in this paper.
For this project, a dataset of 30 cataract surgery videos was collected at
Brest University hospital. The system was evaluated in terms of area under the
ROC curve. Promising results were obtained using either the presence of
surgical tools ($A_z$ = 0.983) or motion analysis ($A_z$ = 0.759). The
generality of the method allows to adapt it to any kinds of surgeries. The
proposed solution could be used in a computer assisted surgery tool to support
surgeons during the surgery.


title: A correction of a characterization of planar partial cubes

abstract:
  In this note we determine the set of expansions such that a partial cube is
planar if and only if it arises by a sequence of such expansions from a single
vertex. This corrects a result of Peterin.


title:
Contraction algebra and singularity of three-dimensional flopping
  contraction

abstract:
  In [5], Donovan and Wemyss introduced the contraction algebra of flopping
curves in 3-folds. They conjectured that the contraction algebra determines the
formal neighborhood of the underlying singularity of the contraction. In this
paper, we prove that the contraction algebra together with its natural
$A_\infty$-structure constructed in [10], determine the formal neighborhood of
the singularity.


title: Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts

abstract:
  We investigate the spin-orbit coupling (SOC) effects in $\alpha$- and
$\kappa$-phase BEDT-TTF and BEDT-TSF organic salts. Contrary to the assumption
that SOC in organics is negligible due to light C, S, H atoms, we show the
relevance of such an interaction in a few representative cases. In the weakly
correlated regime, SOC manifests primarily in the opening of energy gaps at
degenerate band touching points. This effect becomes especially important for
Dirac semimetals such as $\alpha$-(ET)$_2$I$_3$. Furthermore, in the magnetic
insulating phase, SOC results in additional anisotropic exchange interactions,
which provide a compelling explanation for the controversial field-induced
behaviour of the quantum spin-liquid candidate $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$.
We conclude by discussing the importance of SOC for the description of
low-energy properties in organics.


title:
Laboratory experiments and numerical simulations on magnetic
  instabilities

abstract:
  Magnetic fields of planets, stars and galaxies are generated by
self-excitation in moving electrically conducting fluids. Once produced,
magnetic fields can play an active role in cosmic structure formation by
destabilizing rotational flows that would be otherwise hydrodynamically stable.
For a long time, both hydromagnetic dynamo action as well as magnetically
triggered flow instabilities had been the subject of purely theoretical
research. Meanwhile, however, the dynamo effect has been observed in
large-scale liquid sodium experiments in Riga, Karlsruhe and Cadarache. In this
paper, we summarize the results of some smaller liquid metal experiments
devoted to various magnetic instabilities such as the helical and the azimuthal
magnetorotational instability, the Tayler instability, and the different
instabilities that appear in a magnetized spherical Couette flow. We conclude
with an outlook on a large scale Tayler-Couette experiment using liquid sodium,
and on the prospects to observe magnetically triggered instabilities of flows
with positive shear.


title:
Solving DC programs with a polyhedral component utilizing a multiple
  objective linear programming solver

abstract:
  A class of non-convex optimization problems with DC objective function is
studied, where DC stands for being representable as the difference $f=g-h$ of
two convex functions $g$ and $h$. In particular, we deal with the special case
where one of the two convex functions $g$ or $h$ is polyhedral. In case $g$ is
polyhedral, we show that a solution of the DC program can be obtained from a
solution of an associated polyhedral projection problem. In case $h$ is
polyhedral, we prove that a solution of the DC program can be obtained by
solving a polyhedral projection problem and finitely many convex programs.
Since polyhedral projection is equivalent to multiple objective linear
programming (MOLP), a MOLP solver (in the second case together with a convex
programming solver) can be used to solve instances of DC programs with
polyhedral component. Numerical examples are provided, among them an
application to locational analysis.


title:
Optimal Communication Scheduling and Remote Estimation over an Additive
  Noise Channel

abstract:
  This paper considers a sequential sensor scheduling and remote estimation
problem with one sensor and one estimator. The sensor makes sequential
observations about the state of an underlying memoryless stochastic process and
makes a decision as to whether or not to send this measurement to the
estimator. The sensor and the estimator have the common objective of minimizing
expected distortion in the estimation of the state of the process, over a
finite time horizon. The sensor is either charged a cost for each transmission
or constrained on transmission times. As opposed to the prior work where
communication between the sensor and the estimator was assumed to be perfect
(noiseless), in this work an additive noise channel with fixed power constraint
is considered; hence, the sensor has to encode its message before transmission.
Under some technical assumptions, we obtain the optimal encoding and estimation
policies in conjunction with the optimal transmission schedule. The impact of
the presence of a noisy channel is analyzed numerically based on dynamic
programming. This analysis yields some rather surprising results such as a
phase transition phenomenon in the number of used transmission opportunities,
which was not encountered in the noiseless communication setting.


title: Simulation of electrical machines - A FEM-BEM coupling scheme

abstract:
  Electrical machines commonly consist of moving and stationary parts. The
field simulation of such devices can be very demanding if the underlying
numerical scheme is solely based on a domain discretization, such as in case of
the Finite Element Method (FEM). Here, a coupling scheme based on FEM together
with Boundary Element Methods (BEM) is presented that neither hinges on
re-meshing techniques nor deals with a special treatment of sliding interfaces.
While the numerics are certainly more involved the reward is obvious: The
modeling costs decrease and the application engineer is provided with an
easy-to-use, versatile, and accurate simulation tool.


title: Multivalley engineering in semiconductor microcavities

abstract:
  We consider exciton-photon coupling in semiconductor microcavities in which
separate periodic potentials have been embedded for excitons and photons. We
show theoretically that this system supports degenerate ground-states appearing
at non-zero in-plane momenta, corresponding to multiple valleys in reciprocal
space, which are further separated in polarization corresponding to a
polarization-valley coupling in the system. Aside forming a basis for
valleytronics, the multivalley dispersion is predicted to allow for spontaneous
momentum symmetry breaking and two-mode squeezing under non-resonant and
resonant excitation, respectively.


title: On the l^2-Betti numbers of universal quantum groups

abstract:
  We show that the first $\ell^2$-Betti number of the duals of the free unitary
quantum groups is one, and that all $\ell^2$-Betti numbers vanish for the duals
of the quantum automorphism groups of full matrix algebras.


title: Constraints of the physics of low-mass AGB stars from CH and CEMP stars

abstract:
  We analyze a set of published elemental abundances from a sample of CH stars
which are based on high resolution spectral analysis of ELODIE and SUBARU/HDS
spectra. All the elemental abundances were derived from local thermodynamic
equilibrium analysis usingmodel atmospheres, and thus, they represent the
largest homogeneous abundance data available for CH stars up to date. For this
reason, we can use the set to constrain the physics and the nucleosynthesis
occurring in low mass AGB stars. CH stars have been polluted in the past from
an already extinct AGB companion and thus show s-process enriched surfaces. We
discuss the effects induced on the surface AGB s-process distributions by
different prescriptions for convection and rotation. Our reference theoretical
FRUITY set fits only part of the observations. Moreover, the s-process
observational spread for a fixed metallicity cannot be reproduced. At Fe/H]>-1,
a good fit is found when rotation and a different treatment of the inner border
of the convective envelope are simultaneously taken into account. In order to
increase the statistics at low metallicities, we include in our analysis a
selected number of CEMP stars and, therefore, we compute additional AGB models
down to [Fe/H]=-2.85. Our theoretical models are unable to attain the large
[hs/ls] ratios characterizing the surfaces of those objects. We speculate on
the reasons for such a discrepancy, discussing the possibility that the
observed distribution is a result of a proton mixing episode leading to a very
high neutron density (the so-called i-process)


title:
$HZ$ associated production at the LHC within the littlest Higgs model at
  NLO+NLL accuracy

abstract:
  We consider the $HZ$ associated production at the $14~{\rm TeV}$ LHC in the
littlest Higgs model (LHM) and study the corrections of the transverse momentum
resummation and threshold resummation at the next-to-leading logarithmic (NLL)
accuracy and the fixed-order prediction at the QCD next-to-leading order (NLO)
including the contribution from the one-loop-induced $gg$-fusion channel. The
QCD NLO+NLL effects on the integrated cross section and the distributions of
transverse momentum and invariant mass of the $HZ$ system for the $HZ$
production in the LHM are discussed. The distributions of transverse momentum
and invariant mass of the $HZ$ system are evaluated by means of the transverse
momentum resummation and threshold resummation, respectively. We estimate their
scale uncertainties and find that the predictions obtained at the QCD NLO+NLL
accuracy are much more reliable than those using the pure NLO approach. We see
also that the relative deviation between the results in the LHM and the
standard model is considerably reduced by the resummation effects, but still
observable.


title: Retardation effects in induced atomic dipole-dipole interactions

abstract:
  We present mean-field calculations of azimuthally averaged retarded
dipole-dipole interactions in a Bose-Einstein condensate induced by a laser, at
both long and short wavelengths. Our calculations demonstrate that
dipole-dipole interactions become significantly stronger at shorter
wavelengths, by as much as 30-fold, due to retardation effects. This
enhancement, along with inclusion of the dynamic polarizability, indicate a
method of inducing long-range interatomic interactions in neutral atom
condensates at significantly lower intensities than previously realized.


title: Rapid adaptation of a polygenic trait after a sudden environmental shift

abstract:
  Although a number of studies have shown that natural and laboratory
populations initially well-adapted to their environment can evolve rapidly when
conditions suddenly change, the dynamics of rapid adaptation are not well
understood. Here a population genetic model of polygenic selection is analyzed
to describe the short-term response of a quantitative trait after a sudden
shift of the phenotypic optimum. We provide explicit analytical expressions for
the time scales over which the trait mean approaches the new optimum. We find
that when the effect sizes are small relative to a scaled mutation rate, the
genomic signatures of polygenic selection are small to moderate allele
frequency changes that occur in the short-term phase in a synergistic fashion.
In contrast, selective sweeps, i.e., dramatic changes in the allele frequency
may occur provided the size of the effect is sufficiently large. Applications
of our theoretical results to the relationship between QTL and selective sweep
mapping and to tests of fast polygenic adaptation are discussed.


title:
Chiral-Index Resolved Length Mapping of Carbon Nanotubes in Solution
  Using Electric-Field Induced Differential Absorption Spectroscopy

abstract:
  The length of single-walled carbon nanotubes (SWCNTs) is an important metric
for the integration of SWCNTs into devices and for the performance of
SWCNT-based electronic or optoelectronic applications. In this work we propose
a rather simple method based on electric-field induced differential absorption
spectroscopy (EFIDAS) to measure the chiral-index-resolved average length of
SWCNTs in dispersions. The method takes advantage of the electric-field induced
length-dependent dipole moment of nanotubes and has been verified and
calibrated by atomic force microscopy. This method not only provides a low
cost, in-situ approach for length measurements of SWCNTs in dispersion, but due
to the sensitivity of the method to the SWCNT chiral index, the chiral index
dependent average length of fractions obtained by chromatographic sorting can
also be derived. Also, the determination of the chiral-index resolved length
distribution seems to be possible using this method.


title:
Some relations deduced from regularized double shuffle relations of
  multiple zeta values

abstract:
  It is conjectured that the regularized double shuffle relations give all
algebraic relations among the multiple zeta values, and hence all other
algebraic relations should be deduced from the regularized double shuffle
relations. In this paper, we provide as many as the relations which can be
derived from the regularized double shuffle relations, for example, the
weighted sum formula of L. Guo and B. Xie, some evaluation formulas with even
arguments and the restricted sum formulas of M. E. Hoffman and their
generalizations.


title: Radiative lifetimes of dipolar excitons in double quantum-wells

abstract:
  Spatially indirect excitons in semiconducting double quantum wells have been
shown to exhibit rich collective many-body behavior that result from the nature
of the extended dipole-dipole interactions between particles. For many
spectroscopic studies of the emission from a system of such indirect excitons,
it is crucial to separate the single particle properties of the excitons from
the many-body effects arising from their mutual interactions. In particular,
knowledge of the relation between the emission energy of indirect excitons and
their radiative lifetime could be highly beneficial for control, manipulation,
and analysis of such systems. Here we study a simple analytic approximate
relation between the radiative lifetime of indirect excitons and their emission
energy. We show, both numerically and experimentally, the validity and the
limits of this approximate relation. This relation between the emission energy
and the lifetime of indirect excitons can be used to tune and determine their
lifetime and their resulting dynamics without the need of directly measuring
it, and as a tool for design of indirect exciton based devices.


title: Conic Quadratic Formulations for Wireless Communications Design

abstract:
  As a wide class of resource management problems in wireless communications
are nonconvex and even NP-hard in many cases, finding globally optimal
solutions to these problems is of little practical interest. Towards more
pragmatic approaches, there is a rich literature on iterative methods aiming at
finding a solution satisfying necessary optimality conditions to these
problems. These approaches have been derived under several similar mathematical
frameworks such as inner approximation algorithm, concave-convex procedure,
majorization-minimization algorithm, and successive convex approximation (SCA).
However, a large portion of existing algorithms arrive at a relatively generic
program at each iteration, which is less computationally efficient compared to
a more standard convex formulation. This paper proposes \emph{numerically
efficient} transformations and approximations for SCA-based methods to deal
with nonconvexity in wireless communications design. More specifically, the
central goal is to show that various nonconvex problems in wireless
communications can be iteratively solved by conic quadratic optimization. We
revisit various examples to demonstrate the advantages of the proposed
approximations. Theoretical complexity analysis and numerical results show the
superior efficiency in terms of computational cost of our proposed solutions
compared to the existing ones.


title: Smooth cuspidal automorphic forms and integrable discrete series

abstract:
  In this paper we construct smooth cuspidal automorphic forms related to
integrable discrete series of a connected semisimple Lie group with finite
center for classical and adelic situation as an application of the theory of
Schwartz spaces for automorphic forms developed by Casselman. In the classical
situation, smooth cuspidal automorphic forms are constructed via an explicit
continuous map from the Frech\' et space of smooth vectors of a Banach
realization inside $L^1(G)$ of an integrable discrete series into the space of
smooth vectors of a strong topological dual of an appropriate Schwartz space.


title: Towards Timelike Singularity via AdS Dual

abstract:
  It is well known that Kasner geometry with space-like singularity can be
extended to bulk AdS-like geometry, furthermore one can study field theory on
this Kasner space via its gravity dual. In this paper, we show that there
exists a Kasner-like geometry with timelike singularity for which one can
construct a dual gravity description. We then study various extremal surfaces
including space-like geodesics in the dual gravity description. Finally, we
compute correlators of highly massive operators in the boundary field theory
with a geodesic approximation.


title:
The probability of unusually large components in the near-critical
  Erd\H{o}s-R\'enyi graph

abstract:
  The largest components of the critical Erd\H{o}s-R\'enyi graph, $G(n,p)$ with
$p=1/n$, have size of order $n^{2/3}$ with high probability. We give detailed
asymptotics for the probability that there is an unusually large component,
i.e. of size $an^{2/3}$ for large $a$. Our results, which extend work of
Pittel, allow $a$ to depend upon $n$ and also hold for a range of values of $p$
around $1/n$. We also provide asymptotics for the distribution of the size of
the component containing a particular vertex.


title: Pseudo Nambu-Goldstone modes in neutron stars

abstract:
  If quarks and gluons are either gapped or confined in neutron stars (NSs),
the most relevant light modes are Nambu-Goldstone (NG) modes. We study NG modes
within a schematic quark model whose parameters at high density are constrained
by the two-solar mass constraint. Our model has the color-flavor-locked phase
at high density, with the effective couplings as strong as in hadron physics.
We find that strong coupling effects make NG modes more massive than in weak
coupling predictions, and would erase several phenomena caused by the stressed
pairings in mismatched Fermi surfaces. For instance, we found that charged
kaons, which are dominated by diquark and anti-diquark components, are not
light enough to condense at strong coupling. Implications for gravitational
wave signals for NS-NS mergers are also briefly discussed.


title:
Transitive action on finite points of a full shift and a finitary Ryan's
  theorem

abstract:
  We show that on the four-symbol full shift, there is a finitely generated
subgroup of the automorphism group whose action is (set-theoretically)
transitive of all orders on the points of finite support, up to the necessary
caveats due to shift-commutation. As a corollary, we obtain that there is a
finite set of automorphisms whose centralizer is $\mathbb{Z}$ (the shift
group), giving a finitary version of Ryan's theorem (on the four-symbol full
shift), suggesting an automorphism group invariant for mixing SFTs. We show
that any such set of automorphisms must generate an infinite group, and also
show that there is also a group with this transitivity property which is a
subgroup of the commutator subgroup and whose elements can be written as
compositions of involutions. We ask many related questions and prove some easy
transitivity results for the group of reversible Turing machines, topological
full groups and Thompson's~$V$.


title:
First observations of W Virginis stars with K2: detection of period
  doubling

abstract:
  We present the first analysis of W Vir stars observed by the Kepler space
telescope in the K2 mission. Clear cycle-to-cycle variation were detected in
the light curves of KT Sco and the globular cluster member M80-V1. While the
variations in the former star seems to be irregular on the short time scale of
the K2 data, the latter appears to experience period doubling in its pulsation.
Ground-based colour data confirmed that both stars are W Vir-type pulsators,
while a comparison with historical photometric time-series data revealed
drastic period changes in both stars. For comparison we reexamine ground-based
observations of W Vir, the prototype of the class, and conclude that it shows
period doubling instead of mode beating. These results support the notion that
nonlinear dynamics plays an important role in the pulsation of W Virginis-type
stars.


title:
On the East-West Longitudinally Asymmetric Distribution of Solar Proton
  Events

abstract:
  A large data set of 78 solar proton events observed near the Earth's orbit
during 1996-2011 is investigated. An East-West longitudinal (azimuthal)
asymmetry is found to exist in the distribution of flare sources of solar
proton events. With the same longitudinal separation between the flare sources
and the magnetic field line footpoint of observer, the number of the solar
proton events originating from solar sources located on the eastern side of the
nominal magnetic footpoint of observer is larger than the number of the solar
proton events from solar sources located on the western side. We emphasize the
importance of this statistical investigation in two aspects. On the one hand,
this statistical finding confirms our previous simulation results obtained by
numerically solving five-dimensional Fokker-Planck equation of solar energetic
particle (SEP) transport. On the other hand, the East-West longitudinally
(azimuthally) asymmetric distribution of solar proton events accumulated over a
long time period provides an observational evidence for the effects of
perpendicular diffusion on the SEP propagation in the heliosphere. We further
point out that, in the sense of perpendicular diffusion, our numerical
simulations and statistical results of SEP events confirm each other. We
discuss in detail the important effects of perpendicular diffusion on the
formation of the East-West azimuthal (longitudinal) asymmetry of SEP
distribution in two physical scenarios, i.e., 'multiple SEP events with one
spacecraft' and 'one SEP event with multiple spacecraft'. A functional relation
I_{max}(r)=kr^{-1.7} quantifying the radial dependence of SEP peak intensities
is obtained and utilized in the analysis of physical mechanism. The
relationship between our results and those of Dresing et al. is also discussed.

categories: physics.space-ph astro-ph.HE astro-ph.SR physics.geo-ph physics.plasm-ph


title:
Temporal Steering in Four Dimensions with applications to coupled qubits
  and magnetoreception

abstract:
  Einstein-Podolsky-Rosen (EPR) steering allows Alice to remotely prepare a
state in some specific bases for Bob through her choice of measurements. The
temporal analogue of EPR steering, temporal steering, also reveals the
steerability of a single system between different times. Focusing on a
four-dimensional system, here we investigate the dynamics of the temporal
steering measures, the temporal steering robustness, using 5 mutually unbiased
bases. As an example of an application, we use these measures to examine the
temporal correlations in a radical pair model of magnetoreception. We find
that, due to interactions with a static nuclear spin, the radical pair model
exhibits strong non-Markovianity.


title:
Spin- and valley-dependent Goos-Hanchen effect in silicene and gapped
  graphene structures

abstract:
  We investigate the Goos-H\"anchen shift for ballistic electrons (i) reflected
from a step-like inhomogeneity of the potential energy and (or) effective mass,
and (ii) transmitted through a ferromagnetic barrier region in monolayer
silicene or gapped graphene. For the electrons reflected from a single
interface we found that the Goos-H\"anchen shift is valley-polarized for gapped
graphene structure, and valley- and spin-polarized for silicene due to the
spin-valley coupling. Incontrast, for example, to gapless graphene the lateral
beam shift in gapped structures occurs not only in the case of total, but also
of partial, reflection, i.e. at the angles smaller than the critical angle of
total reflection. We have also demonstrated that the valley- and spin-polarized
displacement of the electron beam, transmitted through a ferromagnetic silicene
barrier, resonantly depends on the barrier width. The resonant values of the
displacement can be controlled by adjusting the electric potential, the
external perpendicular electric field, and the exchange field induced by an
insulating ferromagnetic substrate.


title: Federated Learning: Strategies for Improving Communication Efficiency

abstract:
  Federated Learning is a machine learning setting where the goal is to train a
high-quality centralized model while training data remains distributed over a
large number of clients each with unreliable and relatively slow network
connections. We consider learning algorithms for this setting where on each
round, each client independently computes an update to the current model based
on its local data, and communicates this update to a central server, where the
client-side updates are aggregated to compute a new global model. The typical
clients in this setting are mobile phones, and communication efficiency is of
the utmost importance.
  In this paper, we propose two ways to reduce the uplink communication costs:
structured updates, where we directly learn an update from a restricted space
parametrized using a smaller number of variables, e.g. either low-rank or a
random mask; and sketched updates, where we learn a full model update and then
compress it using a combination of quantization, random rotations, and
subsampling before sending it to the server. Experiments on both convolutional
and recurrent networks show that the proposed methods can reduce the
communication cost by two orders of magnitude.


title: A Complexity Theory for Hard Enumeration Problems

abstract:
  Complexity theory provides a wealth of complexity classes for analyzing the
complexity of decision and counting problems. Despite the practical relevance
of enumeration problems, the tools provided by complexity theory for this
important class of problems are very limited. In particular, complexity classes
analogous to the polynomial hierarchy and an appropriate notion of problem
reduction are missing. In this work, we lay the foundations for a complexity
theory of hard enumeration problems by proposing a hierarchy of complexity
classes and by investigating notions of reductions for enumeration problems.


title: Network reconstruction via density sampling

abstract:
  Reconstructing weighted networks from partial information is necessary in
many important circumstances, e.g. for a correct estimation of systemic risk.
It has been shown that, in order to achieve an accurate reconstruction, it is
crucial to reliably replicate the empirical degree sequence, which is however
unknown in many realistic situations. More recently, it has been found that the
knowledge of the degree sequence can be replaced by the knowledge of the
strength sequence, which is typically accessible, complemented by that of the
total number of links, thus considerably relaxing the observational
requirements. Here we further relax these requirements and devise a procedure
valid when even the the total number of links is unavailable. We assume that,
apart from the heterogeneity induced by the degree sequence itself, the network
is homogeneous, so that its (global) link density can be estimated by sampling
subsets of nodes with representative density. We show that the best way of
sampling nodes is the random selection scheme, any other procedure being biased
towards unrealistically large, or small, link densities. We then introduce our
core technique for reconstructing both the topology and the link weights of the
unknown network in detail. When tested on real economic and financial data
sets, our method achieves a remarkable accuracy and is very robust with respect
to the sampled subsets, thus representing a reliable practical tool whenever
the available topological information is restricted to small portions of nodes.


title: On a Sine Polynomial of Turan

abstract:
  In 1935, P. Tur\'an proved that $$ S_{n,a}(x)= \sum_{j=1}^n{n+a-j\choose n-j}
\sin(jx)>0 \quad{(n,a\in\mathbf{N}; 0<x<\pi).} $$ We present various related
inequalities. Among others, we show that the refinements $$ S_{2n-1,a}(x)\geq
\sin(x) \quad\mbox{and} \quad{S_{2n,a}(x)\geq 2\sin(x)(1+\cos(x))} $$ are valid
for all integers $n\geq 1$ and real numbers $a\geq 1$ and $x\in(0,\pi)$.
Moreover, we apply our theorems on sine sums to obtain inequalities for the
Chebyshev polynomials of the second kind.


title:
Double Scattering Channels for $1D$ NLS in the Energy Space and its
  Generalization to Higher Dimensions

abstract:
  We consider a class of $1D$ NLS perturbed with a steplike potential. We prove
that the nonlinear solutions satisfy the double scattering channels in the
energy space. The proof is based on concentration-compactness/rigidity method.
We prove moreover that in dimension higher than one, classical scattering holds
if the potential is periodic in all but one dimension and is steplike and
repulsive in the remaining one.


title:
Two-loop electroweak corrections to Higgs-gluon couplings to higher
  orders in the dimensional regularization parameter

abstract:
  We compute the two-loop electroweak correction to the production of the Higgs
boson in gluon fusion to higher orders in the dimensional-regularization
parameter $\epsilon = (d-4)/2$. We employ the method of differential equations
to compute the relevant integrals and express them in terms of Goncharov
polylogarithms. Our result provides one of the necessary inputs for the
computation of mixed three-loop QCD-electroweak corrections to $gg \to H$.


title: Automorphisms of the Cube $n^d$

abstract:
  Consider a hypergraph $H_n^d$ where the vertices are points of the
$d$-dimensional combinatorial cube $n^d$ and the edges are all sets of $n$
points such that they are in one line. We study the structure of the group of
automorphisms of $H_n^d$, i.e., permutations of points of $n^d$ preserving the
edges. In this paper we provide a complete characterization. Moreover, we
consider the Colored Cube Isomorphism problem of deciding whether for two
colorings of the vertices of $H_n^d$ there exists an automorphism of $H_n^d$
preserving the colors. We show that this problem is ${\sf GI}$-complete.


title: Gradient dynamics and entropy production maximization

abstract:
  Gradient dynamics describes irreversible evolution by means of a dissipation
potential, which leads to several advantageous features like Maxwell--Onsager
relations, distinguishing between thermodynamic forces and fluxes or
geometrical interpretation of the dynamics. Entropy production maximization is
a powerful tool for predicting constitutive relations in engineering. In this
paper, both approaches are compared and their shortcomings and advantages are
discussed.

categories: physics.flu-dyn math-ph math.MP physics.chem-ph


title: On the stability of the Bresse system with frictional damping

abstract:
  In this paper, we consider the Bresse system with frictional damping terms
and prove some optimal decay results for the $L^2$-norm of the solution and its
higher order derivatives. In fact, if we consider just one damping term acting
on the second equation of the solution, we show that the solution does not
decay at all. On the other hand, by considering one damping term alone acting
on the third equation, we show that this damping term is strong enough to
stabilize the whole system. In this case, we found a completely new stability
number that depends on the parameters in the system.
  In addition, we prove the optimality of the results by using eigenvalues
expansions. Our obtained results have been proved under some assumptions on the
wave speeds of the three equations in the Bresse system.


title:
Time-reversal symmetry breaking and gapped surface states due to
  spontaneous emergence of new order in $d$-wave nanoislands

abstract:
  We solve the Bogoliubov-de Gennes equations self-consistently for the
$d$-wave order parameter in nanoscale $d$-wave systems with [110] surfaces and
show that spontaneous time-reversal symmetry (TRS) breaking occurs at low
temperatures due to a spontaneously induced complex order parameter of extended
$s$-wave symmetry. The Andreev surface bound states, which are protected by a
one-dimensional (1D) topological invariant in the presence of TRS, are gapped
by the emergence of this new order parameter. The extended $s$-wave order
parameter is localized within a narrow region near the surfaces, which is
consistent with the fact that topological protection of the gapless Andreev
surface states is characterized by the 1D topological invariant. In this
TRS-breaking phase, not only is the complex order parameter induced, but also
the $d$-wave order parameter itself becomes complex. Furthermore, the
disappearance of topological protection brings about novel vortex phenomena
near the surfaces. We show that vortex-antivortex pairs are formed in the
extended $s$-wave order parameter along the surfaces if the side length of a
nanoisland or the width of an infinitely long nanoribbon is relatively large.


title:
Reiterated homogenization of hyperbolic-parabolic equations in domains
  with tiny holes

abstract:
  This article studies the homogenization of hyperbolic-parabolic equations in
porous media with tiny holes. We assume that the holes are periodically
distributed and that the coefficients of the equations are periodic. Using the
multi-scale convergence method, we derive a homogenization result whose limit
problem is defined on a fixed domain and is of the same type as the problem
with oscillating coefficients.


title:
Nondegeneracy of ground states and multiple semiclassical solutions of
  the Hartree equation for general dimensions

abstract:
  We study nondegeneracy of ground states of the Hartree equation $$ -\Delta
u+u=(I_{2}\ast u^2)u\quad\mbox{ in }\mathbb R^n $$ where $n=3,4,5$ and $I_2$ is
the Newton potential. As an application of the nondegeneracy result, we use a
Lyapunov-Schmidt reduction argument to construct multiple semiclassical
solutions to the following Hartree equation with an external potential
$$-\varepsilon^2\Delta u+u+V(x)u=\varepsilon^{-2}(I_{2}\ast u^2)u\quad \mbox{
in }\mathbb R^n.$$


title:
Microlensing due to both gravitation and refraction as a further probe
  of universe evolution

abstract:
  Microlensings events are predicted for the light coming from cosmological
sources. In addition to the microlensing due to gravitation lensing,
microlensing produced also by refraction of light due to either ionized, or
not, gas clouds can be considered. A detailed prediction is here given assuming
that the ray of light coming from the distant source traverses a gas cloud with
a King's density profile for various possible environments. We conclude that
the additional deviation due to relativistic refraction is in most cases
negligible compared to the gravitational deviation. Deviation due to refraction
can anyway become an interesting analysis tool for future facility with great
resolving power and the effects can be singled out with dedicated surveys.


title:
Strong quantum confinement effect in the optical properties of ultrathin
  {\alpha}-In2Se3

abstract:
  The effect of quantum confinement in the optical absorption spectra of
atomically thin {\alpha}-In2Se3 crystals is studied, observing a huge
thickness-dependent shift in the optical band gap of exfoliated {\alpha}-In2Se3
flakes. The band gap variation reported here is among the largest found in
semiconductor crystals and spans a region of the near-UV spectrum uncovered by
other 2D semiconductors.


title:
Condensation-inhibited convection in hydrogen-rich atmospheres:
  Stability against double-diffusive processes and thermal profiles for
  Jupiter, Saturn, Uranus, and Neptune

abstract:
  In an atmosphere, a cloud condensation region is characterized by a strong
vertical gradient in the abundance of the related condensing species. On Earth,
the ensuing gradient of mean molecular weight has relatively few dynamical
consequences because N$_2$ is heavier than water vapor, so that only the
release of latent heat significantly impacts convection. On the contrary, in an
hydrogen dominated atmosphere (e.g. giant planets), all condensing species are
significantly heavier than the background gas. This can stabilize the
atmosphere against convection near a cloud deck if the enrichment in the given
species exceeds a critical threshold. This raises two questions. What is
transporting energy in such a stabilized layer, and how affected can the
thermal profile of giant planets be? To answer these questions, we first carry
out a linear analysis of the convective and double-diffusive instabilities in a
condensable medium showing that an efficient condensation can suppress
double-diffusive convection. This suggests that a stable radiative layer can
form near a cloud condensation level, leading to an increase in the temperature
of the deep adiabat. Then, we investigate the impact of the condensation of the
most abundant species---water---with a steady-state atmosphere model. Compared
to standard models, the temperature increase can reach several hundred degrees
at the quenching depth of key chemical tracers. Overall, this effect could have
many implications for our understanding of the dynamical and chemical state of
the atmosphere of giant planets, for their future observations (with Juno for
example), and for their internal evolution.


title:
Analysis and Implementation of an Asynchronous Optimization Algorithm
  for the Parameter Server

abstract:
  This paper presents an asynchronous incremental aggregated gradient algorithm
and its implementation in a parameter server framework for solving regularized
optimization problems. The algorithm can handle both general convex (possibly
non-smooth) regularizers and general convex constraints. When the empirical
data loss is strongly convex, we establish linear convergence rate, give
explicit expressions for step-size choices that guarantee convergence to the
optimum, and bound the associated convergence factors. The expressions have an
explicit dependence on the degree of asynchrony and recover classical results
under synchronous operation. Simulations and implementations on commercial
compute clouds validate our findings.


title: The Euclid mission design

abstract:
  Euclid is a space-based optical/near-infrared survey mission of the European
Space Agency (ESA) to investigate the nature of dark energy, dark matter and
gravity by observing the geometry of the Universe and on the formation of
structures over cosmological timescales. Euclid will use two probes of the
signature of dark matter and energy: Weak gravitational Lensing, which requires
the measurement of the shape and photometric redshifts of distant galaxies, and
Galaxy Clustering, based on the measurement of the 3-dimensional distribution
of galaxies through their spectroscopic redshifts. The mission is scheduled for
launch in 2020 and is designed for 6 years of nominal survey operations. The
Euclid Spacecraft is composed of a Service Module and a Payload Module. The
Service Module comprises all the conventional spacecraft subsystems, the
instruments warm electronics units, the sun shield and the solar arrays. In
particular the Service Module provides the extremely challenging pointing
accuracy required by the scientific objectives. The Payload Module consists of
a 1.2 m three-mirror Korsch type telescope and of two instruments, the visible
imager and the near-infrared spectro-photometer, both covering a large common
field-of-view enabling to survey more than 35% of the entire sky. All sensor
data are downlinked using K-band transmission and processed by a dedicated
ground segment for science data processing. The Euclid data and catalogues will
be made available to the public at the ESA Science Data Centre.


title:
Comparison of the periodic slab approach with the finite cluster ansatz
  for metal-organic interfaces at the example of PTCDA on Ag(110)

abstract:
  We present a comparative study of metal-organic interface properties obtained
from dispersion corrected density functional theory calculations based on two
different approaches: the periodic slab supercell technique and cluster models
with 18 to 290 Ag atoms. Fermi smearing and fixing of cluster borders are
required to make the cluster calculation feasible and realistic. The considered
adsorption structure and energy of a PTCDA molecule on the Ag(110) surface is
not well reproduced with clusters containing only two metallic layers. However,
clusters with four layers of silver atoms and sufficient lateral extension
reproduce the adsorbate structure within 0.02 \AA\ and adsorption energies
within 10\% of the slab result. A consideration of the computational effort
shows that the cluster approach is a competitive alternative to methods using
periodic boundary conditions and of particular interest for research at surface
defects and other systems that do not show periodic symmetry.


title:
Surface Treatment of 45S5 Bio-glass using Femtosecond Laser to Achieve
  Superior Growth of Hydroxyapatite

abstract:
  45S5 Hench bio-glass (BG) has gained interest in research because of its
potential clinical applications. Several studies in-vivo and in-vitro have been
in progress to improve bio-integration efficiency of this glass. In present
contribution, surface modification of Hench BG has been done employing a
femtosecond (fs) laser beam, resulting in increased effective surface area of
the sample. These surface modified samples were subsequently immersed in
simulated body fluid for varying number of days and characterized using
Scanning electron microscope, energy dispersive X-ray analysis, X-ray
diffraction, and micro-Raman spectroscopy. In-vitro studies indicated superior
growth of hydroxyapatite (HAP) layer on the laser treated samples in comparison
to the untreated samples. Presence of strong XRD peaks confirmed faster growth
of HAP on laser treated samples. Raman peaks, five times more intense and
relatively narrower represented higher crystallinity of hydroxyapatite layer on
laser treated BG.


title: Dirichlet Problem for Coupled Elliptic Systems

abstract:
  Let $\Omega $ be a bounded domain in $\mathbb{R}^{d}$ $\left( d\geq 2\right)
$ pretty regular. We solve the variational Dirichlet problem for a class of
quasi-linear elliptic systems.


title:
Towards a HPC-oriented parallel implementation of a learning algorithm
  for bioinformatics applications

abstract:
  Background: The huge quantity of data produced in Biomedical research needs
sophisticated algorithmic methodologies for its storage, analysis, and
processing. High Performance Computing (HPC) appears as a magic bullet in this
challenge. However, several hard to solve parallelization and load balancing
problems arise in this context. Here we discuss the HPC-oriented implementation
of a general purpose learning algorithm, originally conceived for DNA analysis
and recently extended to treat uncertainty on data (U BRAIN). The U-BRAIN
algorithm is a learning algorithm that finds a Boolean formula in disjunctive
normal form (DNF), of approximately minimum complexity, that is consistent with
a set of data (instances) which may have missing bits. The conjunctive terms of
the formula are computed in an iterative way by identifying, from the given
data, a family of sets of conditions that must be satisfied by all the positive
instances and violated by all the negative ones; such conditions allow the
computation of a set of coefficients (relevances) for each attribute (literal),
that form a probability distribution, allowing the selection of the term
literals. The great versatility that characterizes it, makes U-BRAIN applicable
in many of the fields in which there are data to be analyzed. However the
memory and the execution time required by the running are of O(n3) and of O(n5)
order, respectively, and so, the algorithm is unaffordable for huge data sets.


title:
Light emission, light detection and strain sensing with nanocrystalline
  graphene

abstract:
  Graphene is of increasing interest for optoelectronic applications exploiting
light detection, light emission and light modulation. Intrinsically light
matter interaction in graphene is of a broadband type. However by integrating
graphene into optical micro cavities also narrow band light emitters and
detectors have been demonstrated. The devices benefit from the transparency,
conductivity and processability of the atomically thin material. To this end we
explore in this work the feasibility of replacing graphene by nanocrystalline
graphene, a material which can be grown on dielectric surfaces without catalyst
by graphitization of polymeric films. We have studied the formation of
nanocrystalline graphene on various substrates and under different
graphitization conditions. The samples were characterized by resistance,
optical transmission, Raman, X-ray photoelectron spectroscopy, atomic force
microscopy and electron microscopy measurements. The conducting and transparent
wafer-scale material with nanometer grain size was also patterned and
integrated into devices for studying light-matter interaction. The measurements
show that nanocrystalline graphene can be exploited as an incandescent emitter
and bolometric detector similar to crystalline graphene. Moreover the material
exhibits piezoresistive behavior which makes nanocrystalline graphene
interesting for transparent strain sensors.


title: Team Delft's Robot Winner of the Amazon Picking Challenge 2016

abstract:
  This paper describes Team Delft's robot, which won the Amazon Picking
Challenge 2016, including both the Picking and the Stowing competitions. The
goal of the challenge is to automate pick and place operations in unstructured
environments, specifically the shelves in an Amazon warehouse. Team Delft's
robot is based on an industrial robot arm, 3D cameras and a customized gripper.
The robot's software uses ROS to integrate off-the-shelf components and modules
developed specifically for the competition, implementing Deep Learning and
other AI techniques for object recognition and pose estimation, grasp planning
and motion planning. This paper describes the main components in the system,
and discusses its performance and results at the Amazon Picking Challenge 2016
finals.


title: Active matter logic for autonomous microfluidics

abstract:
  Chemically or optically powered active matter plays an increasingly important
role in materials design but its computational potential has yet to be explored
systematically. The competition between energy consumption and dissipation
imposes stringent physical constraints on the information transport in active
flow networks, facilitating global optimization strategies that are not well
understood. Here, we combine insights from recent microbial experiments with
concepts from lattice-field theory and non-equilibrium statistical mechanics to
introduce a generic theoretical framework for active matter logic (AML).
Highlighting conceptual differences with classical and quantum computation, we
demonstrate how the inherent non-locality of incompressible active flow
networks can be utilized to construct universal logical operations, Fredkin
gates and memory storage in SR latches through the synchronized
self-organization of many individual network components. Our work lays the
conceptual foundation for developing autonomous microfluidic transport devices
driven by bacterial fluids, active liquid crystals or chemically engineered
motile colloids.


title: Active Network Alignment: A Matching-Based Approach

abstract:
  Network alignment is the problem of matching the nodes of two graphs,
maximizing the similarity of the matched nodes and the edges between them. This
problem is encountered in a wide array of applications-from biological networks
to social networks to ontologies-where multiple networked data sources need to
be integrated. Due to the difficulty of the task, an accurate alignment can
rarely be found without human assistance. Thus, it is of great practical
importance to develop network alignment algorithms that can optimally leverage
experts who are able to provide the correct alignment for a small number of
nodes. Yet, only a handful of existing works address this active network
alignment setting.
  The majority of the existing active methods focus on absolute queries ("are
nodes $a$ and $b$ the same or not?"), whereas we argue that it is generally
easier for a human expert to answer relative queries ("which node in the set
$\{b_1, \ldots, b_n\}$ is the most similar to node $a$?"). This paper
introduces two novel relative-query strategies, TopMatchings and
GibbsMatchings, which can be applied on top of any network alignment method
that constructs and solves a bipartite matching problem. Our methods identify
the most informative nodes to query by sampling the matchings of the bipartite
graph associated to the network-alignment instance.
  We compare the proposed approaches to several commonly-used query strategies
and perform experiments on both synthetic and real-world datasets. Our
sampling-based strategies yield the highest overall performance, outperforming
all the baseline methods by more than 15 percentage points in some cases. In
terms of accuracy, TopMatchings and GibbsMatchings perform comparably. However,
GibbsMatchings is significantly more scalable, but it also requires
hyperparameter tuning for a temperature parameter.


title: Reduced Order Internal Models in the Frequency Domain

abstract:
  The internal model principle states that all robustly regulating controllers
must contain a suitably reduplicated internal model of the signal to be
regulated. Using frequency domain methods, we show that the number of the
copies may be reduced if the class of perturbations in the problem is
restricted. We present a two stage design procedure for a simple controller
containing a reduced order internal model achieving robust regulation. The
results are illustrated with an example of a five tank laboratory process where
a restricted class of perturbations arises naturally.


title: Shape-based defect classification for Non Destructive Testing

abstract:
  The aim of this work is to classify the aerospace structure defects detected
by eddy current non-destructive testing. The proposed method is based on the
assumption that the defect is bound to the reaction of the probe coil impedance
during the test. Impedance plane analysis is used to extract a feature vector
from the shape of the coil impedance in the complex plane, through the use of
some geometric parameters. Shape recognition is tested with three different
machine-learning based classifiers: decision trees, neural networks and Naive
Bayes. The performance of the proposed detection system are measured in terms
of accuracy, sensitivity, specificity, precision and Matthews correlation
coefficient. Several experiments are performed on dataset of eddy current
signal samples for aircraft structures. The obtained results demonstrate the
usefulness of our approach and the competiveness against existing descriptors.


title: Baryon number transfer could delay Quark-Hadron transition in cosmology

abstract:
  In the early Universe, strongly interacting matter was a quark-gluon plasma.
Both lattice computations and heavy ion collision experiments however tell us
that, in the absence of chemical potentials, no plasma survives at $T <\sim
150$ MeV. The cosmological Quark-Hadron transition, however, seems to have been
a crossover; cosmological consequences envisaged when it was believed to be a
phase transition no longer hold. In this paper we discuss whether even a
crossover transition can leave an imprint that cosmological observations can
seek or, viceversa, there are questions cosmology should address to QCD
specialists. In particular, we argue that it is still unclear how baryons (not
hadrons) could form at the cosmological transition. A critical role should be
played by diquark states, whose abundance in the early plasma needs to be
accurately evaluated. We estimate that, if the number of quarks belonging to a
diquark state, at the beginning of the cosmological transition, is $<\sim
1:10^6$, its dynamics could be modified by the process of B-transfer from
plasma to hadrons. In turn, by assuming B-transfer to cause just mild
perturbations and, in particular, no entropy input, we study the deviations
from the tracking regime, in the frame of SCDEW models. We find that, in some
cases, residual deviations could propagate down to primeval nuclesynthesis.


title: Local Moufang sets and local Jordan pairs

abstract:
  In this paper, we extend the theory of special local Moufang sets. We
construct a local Moufang set from every local Jordan pair, and we show that
every local Moufang set satisfying certain (natural) conditions gives rise to a
local Jordan pair. We also explore the connections between these two
constructions.


title:
Diagnosis of aerospace structure defects by a HPC implemented soft
  computing algorithm

abstract:
  This study concerns with the diagnosis of aerospace structure defects by
applying a HPC parallel implementation of a novel learning algorithm, named
U-BRAIN. The Soft Computing approach allows advanced multi-parameter data
processing in composite materials testing. The HPC parallel implementation
overcomes the limits due to the great amount of data and the complexity of data
processing. Our experimental results illustrate the effectiveness of the
U-BRAIN parallel implementation as defect classifier in aerospace structures.
The resulting system is implemented on a Linux-based cluster with multi-core
architecture.


title: Addressing Community Question Answering in English and Arabic

abstract:
  This paper studies the impact of different types of features applied to
learning to re-rank questions in community Question Answering. We tested our
models on two datasets released in SemEval-2016 Task 3 on "Community Question
Answering". Task 3 targeted real-life Web fora both in English and Arabic. Our
models include bag-of-words features (BoW), syntactic tree kernels (TKs), rank
features, embeddings, and machine translation evaluation features. To the best
of our knowledge, structural kernels have barely been applied to the question
reranking task, where they have to model paraphrase relations. In the case of
the English question re-ranking task, we compare our learning to rank (L2R)
algorithms against a strong baseline given by the Google-generated ranking
(GR). The results show that i) the shallow structures used in our TKs are
robust enough to noisy data and ii) improving GR is possible, but effective BoW
features and TKs along with an accurate model of GR features in the used L2R
algorithm are required. In the case of the Arabic question re-ranking task, for
the first time we applied tree kernels on syntactic trees of Arabic sentences.
Our approaches to both tasks obtained the second best results on SemEval-2016
subtasks B on English and D on Arabic.


title: Target of Opportunity observations of blazars with H.E.S.S.$\ $

abstract:
  The very high energy (VHE, E > 100 GeV) sky is dominated by blazars,
radio-loud active galactic nuclei whose relativistic jet is closely aligned
with the line of sight. Blazars are characterized by rapid variability at all
wavelengths and thus an important part of the H.E.S.S. blazar program is
devoted to target of opportunity (ToO) observations. H.E.S.S. triggers blazar
ToOs on the basis of publicly available blazar observations at longer
wavelengths (optical, X-rays, and $\gamma$-rays), from private optical
observations with the ATOM telescope, and from private communications by
$\gamma$-ray partners in the context of MoUs. In 2015, about 70 hours of
H.E.S.S. data were taken in the form of blazar ToOs, which represents ~15$\%$
of all extragalactic observations. In this contribution, we present the
H.E.S.S. blazar ToO status, and we focus on two major results from the 2015
season: the detection of VHE emission from 3C 279 during the June 2015 flare,
and the discovery of PKS 0736+017 as a new VHE quasar.


title:
Initial boundary value problems for a fractional differential equation
  with hyper-Bessel operator

abstract:
  Direct and inverse source problems of a fractional diffusion equation with
regularized Caputo-like counterpart hyper-Bessel operator are considered.
Solutions to these problems are constructed based on appropriate eigenfunction
expansion and results on existence and uniqueness are established. To solve the
resultant equations, a solution to a non-homogeneous fractional differential
equation with regularized Caputo-like counterpart hyper-Bessel operator is also
presented.


title:
A note on exponential Rosenbrock-Euler method for the finite element
  discretization of a semilinear parabolic partial differential equation

abstract:
  In this paper we consider the numerical approximation of a general second
order semi-linear parabolic partial differential equation. Equations of this
type arise in many contexts, such as transport in porous media. Using finite
element method for space discretization and the exponential Rosenbrock-Euler
method for time discretization, we provide a rigorous convergence proof in
space and time under only the standard Lipschitz condition of the nonlinear
part for both smooth and nonsmooth initial solution. This is in contrast to
very restrictive assumptions made in the literature, where the authors have
considered only approximation in time so far in their convergence proofs. The
optimal orders of convergence in space and in time are achieved for smooth and
nonsmooth initial solution.


title:
Controlled generation of a pn-junction in a waveguide integrated
  graphene photodetector

abstract:
  With its electrically tunable light absorption and ultrafast photoresponse,
graphene is a promising candidate for high-speed chip-integrated photonics. The
generation mechanisms of photosignals in graphene photodetectors have been
studied extensively in the past years. However, the knowledge about efficient
light conversion at graphene pn-junctions has not yet been translated into
high-performance devices. Here, we present a graphene photodetector integrated
on a silicon slot-waveguide, acting as a dual-gate to create a pn-junction in
the optical absorption region of the device. While at zero bias the
photo-thermoelectric effect is the dominant conversion process, an additional
photoconductive contribution is identified in a biased configuration. Extrinsic
responsivities of 35 mA/W, or 3.5 V/W, at zero bias and 76 mA/W at 300 mV bias
voltage are achieved. The device exhibits a 3 dB-bandwidth of 65 GHz, which is
the highest value reported for a graphene-based photodetector.


title: Proton Beam Defocusing as a Result of Self-Modulation in Plasma

abstract:
  The AWAKE experiment will use a \SI{400}{GeV/c} proton beam with a
longitudinal bunch length of $\sigma_z = 12\,\rm{cm}$ to create and sustain
GV/m plasma wakefields over 10 meters . A 12 cm long bunch can only drive
strong wakefields in a plasma with $n_{pe} = 7 \times
10^{14}\,\rm{electrons/cm}^3$ after the self-modulation instability (SMI)
developed and microbunches formed, spaced at the plasma wavelength. The fields
present during SMI focus and defocus the protons in the transverse plane
\cite{SMI}. We show that by inserting two imaging screens downstream the
plasma, we can measure the maximum defocusing angle of the defocused protons
for plasma densities above $n_{pe} = 5 \times 10^{14}\,\rm{electrons/cm}^{-3}$.
Measuring maximum defocusing angles around 1 mrad indirectly proves that SMI
developed successfully and that GV/m plasma wakefields were created. In this
paper we present numerical studies on how and when the wakefields defocus
protons in plasma, the expected measurement results of the two screen
diagnostics and the physics we can deduce from it.


title:
Efficient Realization of the Mixed Finite Element Discretization for
  nonlinear Problems

abstract:
  We consider implementational aspects of the mixed finite element method for a
special class of nonlinear problems. We establish the equivalence of the
hybridized formulation of the mixed finite element method to a nonconforming
finite element method with augmented Crouzeix-Raviart ansatz space. We discuss
the reduction of unknowns by static condensation and propose Newton's method
for the solution of local and global systems. Finally, we show, how such a
nonlinear problem arises from the mixed formulation of Darcy-Forchheimer flow
in porous media.


title:
Quantifying the Momentum Correlation between Two Light Beams by
  Detecting One

abstract:
  We report a measurement of the transverse momentum correlation between two
photons by detecting only one of them. Our method uses two identical sources in
an arrangement, in which the phenomenon of induced coherence without induced
emission is observed. In this way, we produce an interference pattern in the
superposition of one beam from each source. We quantify the transverse momentum
correlation by analyzing the visibility of this pattern. Our approach might be
useful for the characterization of correlated photon pair sources and may lead
to an experimental measure of continuous variable entanglement, which relies on
the detection of only one of two entangled particles.


title: Interference Fringes Controlled by Non-Interfering Photons

abstract:
  We observe spatial fringes in the interference of two beams, which are
controlled by a third beam through the phenomenon of induced coherence without
induced emission. We show that the interference pattern depends on the
alignment of this beam in an analogous way as fringes created in a traditional
division-of-amplitude interferometer depend on the relative alignment of the
two interfering beams. We demonstrate that the pattern is characterized by an
equivalent wavelength, which corresponds to a combination of the wavelengths of
the involved physical light beams.


title:
SoK: An Analysis of Protocol Design: Avoiding Traps for Implementation
  and Deployment

abstract:
  Today's Internet utilizes a multitude of different protocols. While some of
these protocols were first implemented and used and later documented, other
were first specified and then implemented. Regardless of how protocols came to
be, their definitions can contain traps that lead to insecure implementations
or deployments. A classical example is insufficiently strict authentication
requirements in a protocol specification. The resulting Misconfigurations,
i.e., not enabling strong authentication, are common root causes for Internet
security incidents. Indeed, Internet protocols have been commonly designed
without security in mind which leads to a multitude of misconfiguration traps.
While this is slowly changing, to strict security considerations can have a
similarly bad effect. Due to complex implementations and insufficient
documentation, security features may remain unused, leaving deployments
vulnerable.
  In this paper we provide a systematization of the security traps found in
common Internet protocols. By separating protocols in four classes we identify
major factors that lead to common security traps. These insights together with
observations about end-user centric usability and security by default are then
used to derive recommendations for improving existing and designing new
protocols---without such security sensitive traps for operators, implementors
and users.


title:
First measurement of coherent double neutral-pion photoproduction on the
  deuteron at incident energies below 0.9 GeV

abstract:
  The total cross sections were measured for coherent double neutral-pion
photoproduction on the deuteron at incident energies below 0.9 GeV for the
first time. No clear resonance-like behavior is observed in the excitation
function for $W_{\gamma d}=2.38$--2.61 GeV, where the $d^*(2380)$ dibaryon
resonance observed at COSY is expected to appear. The measured excitation
function is consistent with the existing theoretical calculation for this
reaction. The upper limit of the total cross section is found to be
$0.034$~$\mu$b for the dibaryon resonance at $W_{\gamma d}=2.37$~GeV (90\%
confidence level) in the $\gamma d \to \pi^0\pi^0 d$ reaction.


title: The next challenge for neutrinos: the mass ordering

abstract:
  Neutrino physics is nowadays receiving more and more attention as a possible
source of information for the long--standing investigation of new physics
beyond the Standard Model. This is also supported by the recent change of
perspectives in neutrino researches since the discovery period is almost over
and we are entering the phase of precise measurements. Despite the limited
statistics collected for some variables, the three--flavour neutrino framework
seems well strengthening. However some relevant pieces of this framework are
still missing. The amount of a possible CP violation phase and the mass
ordering are among the most challenging and probably those that will be known
in the near future. In this paper we will discuss these two correlated issues
and a very recent new statistical method introduced to get reliable results on
the mass ordering.


title:
How will freestanding borophene nanoribbons look like? An analysis of
  their possible structures, magnetism and transport properties

abstract:
  We report a density-functional-theoretic study of the stability and
electronic structure of two recently proposed borophene sheets with Pmmn
symmetry and nonzero thickness. We then investigate nanoribbons (BNRs) derived
from these nanostructures, with particular attention to technologically
relevant properties like magnetism and electronic transport. We consider two
perpendicular directions for the edges of the stripes as well as different
lateral widths. We show that the Pmmn8 sheet, with 8 atoms in its unit cell and
generated by two interpenetrating lattices, has a larger binding energy than
the Pmmn2 sheet, with only 2 atoms per unit cell. We also use their phonon
spectra to show that the mechanical stability of the Pmmn8 sheet is superior to
that of the Pmmn2 sheet. Nanoribbons derived from Pmmn8 are not only more
stable than those derived from Pmmn2, but also more interesting from the
technological point of view. We find a rich variety of magnetic solutions,
depending on the borophene "mother structure", edge orientation, width and, in
the case of Pmmn8-derived BNRs, the sublattice of edge atoms. We show that one
can build BNRs with magnetic moment in both, one or none of the edges, as well
as with parallel or antiparallel magnetic coupling between the edges when
magnetic; moreover, their electronic character can be semiconducting, metallic
or half-metallic, creating a perfect spin valve at low bias. These different
behaviors are reflected in their densities of states, spin density and
electronic transport coefficients, which are analyzed in detail. Our work
provides a complete overview of what one may expect if nanoribbons are cut out
from Pmmn sheets with a view to potential technological applications.


title:
FMO3-LCMO study of electron transfer coupling matrix element and
  pathway: Application to hole transfer between two triptophanes through cis-
  and trans-polyproline-linker systems

abstract:
  The linear-combination of fragment molecular orbitals with three-body
correction (FMO3-LCMO) is examined for electron transfer (ET) coupling matrix
elements and ET pathway analysis, with application to hole transfer between two
triptophanes bridged by cis- and trans-polyproline linker conformations. A
projection to the minimal-valence-plus-core FMO space was found to give
sufficient accuracy with significant reduction of computational cost while
avoiding the problem of linear dependence of FMOs stemming from involvement of
bond detached atoms.


title:
Viscous compressible homogeneous multi-fluids with multiple velocities:
  barotropic existence theory

abstract:
  We consider the model of viscous compressible homogeneous multi-fluids with
multiple velocities. We review different formulations of the model and the
existence results for boundary value problems. We analyze crucial mathematical
difficulties which arise during the proof of the existence theorems.


title:
Non Linear Singular Drifts and Fractional Operators: when Besov meets
  Morrey and Campanato

abstract:
  Within the global setting of singular drifts in Morrey-Campanato spaces
presented in [6], we study now the H{\"o}lder regularity properties of the
solutions of a transport-diffusion equation with nonlinear singular drifts that
satisfy a Besov stability property. We will see how this Besov information is
relevant and how it allows to improve previous results. Moreover, in some
particular cases we show that as the nonlinear drift becomes more regular, in
the sense of Morrey-Campanato spaces, the additional Besov stability property
will be less useful.


title:
Generalized Legendre transformations and symmetries of the WDVV
  equations

abstract:
  The Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations, as one would
expect from an integrable system, has many symmetries, both continuous and
discrete. One class - the so-called Legendre transformations - were introduced
by Dubrovin. They are a discrete set of symmetries between the stronger concept
of a Frobenius manifold, and are generated by certain flat vector fields. In
this paper this construction is generalized to the case where the vector field
(called here the Legendre field) is non-flat but satisfies a certain set of
defining equations. One application of this more general theory is to generate
the induced symmetry between almost-dual Frobenius manifolds whose underlying
Frobenius manifolds are related by a Legendre transformation. This also
provides a map between rational and trigonometric solutions of the WDVV
equations.


title:
Infinite disorder and correlation fixed point in the Potts model with
  correlated disorder

abstract:
  Recent Monte Carlo simulations of the q-state Potts model with a disorder
displaying slowly-decaying correlations reported a violation of hyperscaling
relation caused by large disorder fluctuations and the existence of a Griffiths
phase, as in random systems governed by an infinite-disorder fixed point. New
simulations, directly made in the limit of an infinite disorder strength, are
presented. The magnetic scaling dimension is shown to correspond to the
correlated percola-tion fixed point. The latter is shown to be unstable at
finite disorder strength but with a large cross-over length which is not
accessible to Monte Carlo simulations.


title: SYSTRAN's Pure Neural Machine Translation Systems

abstract:
  Since the first online demonstration of Neural Machine Translation (NMT) by
LISA, NMT development has recently moved from laboratory to production systems
as demonstrated by several entities announcing roll-out of NMT engines to
replace their existing technologies. NMT systems have a large number of
training configurations and the training process of such systems is usually
very long, often a few weeks, so role of experimentation is critical and
important to share. In this work, we present our approach to production-ready
systems simultaneously with release of online demonstrators covering a large
variety of languages (12 languages, for 32 language pairs). We explore
different practical choices: an efficient and evolutive open-source framework;
data preparation; network architecture; additional implemented features; tuning
for production; etc. We discuss about evaluation methodology, present our first
findings and we finally outline further work.
  Our ultimate goal is to share our expertise to build competitive production
systems for "generic" translation. We aim at contributing to set up a
collaborative framework to speed-up adoption of the technology, foster further
research efforts and enable the delivery and adoption to/by industry of
use-case specific engines integrated in real production workflows. Mastering of
the technology would allow us to build translation engines suited for
particular needs, outperforming current simplest/uniform systems.


title:
M2CAI Workflow Challenge: Convolutional Neural Networks with Time
  Smoothing and Hidden Markov Model for Video Frames Classification

abstract:
  Our approach is among the three best to tackle the M2CAI Workflow challenge.
The latter consists in recognizing the operation phase for each frames of
endoscopic videos. In this technical report, we compare several classification
models and temporal smoothing methods. Our submitted solution is a fine tuned
Residual Network-200 on 80% of the training set with temporal smoothing using
simple temporal averaging of the predictions and a Hidden Markov Model modeling
the sequence.


title:
Quasimodes and a lower bound for the local energy decay of the Dirac
  equation in Schwarzschild-Anti-de Sitter spacetime

abstract:
  We prove the existence of exponentially accurate quasimodes using the square
of the Dirac operator on the Schwarzschild-Anti-de Sitter spacetime and the
Agmon estimates. We then deduce a logarithmic lower bound for the local energy
decay of the Dirac propagator.


title:
The Magnetic Field of L1544: I. Near-Infrared Polarimetry and the
  Non-Uniform Envelope

abstract:
  The magnetic field (B-field) of the starless dark cloud L1544 has been
studied using near-infrared (NIR) background starlight polarimetry (BSP) and
archival data in order to characterize the properties of the plane-of-sky
B-field. NIR linear polarization measurements of over 1,700 stars were obtained
in the H-band and 201 of these were also measured in the K-band. The NIR BSP
properties are correlated with reddening, as traced using the RJCE (H-M)
method, and with thermal dust emission from the L1544 cloud and envelope seen
in Herschel maps. The NIR polarization position angles change at the location
of the cloud and exhibit their lowest dispersion of position angles there,
offering strong evidence that NIR polarization traces the plane-of-sky B-field
of L1544. In this paper, the uniformity of the plane-of-sky B-field in the
envelope region of L1544 is quantitatively assessed. This allowed evaluating
the approach of assuming uniform field geometry when measuring relative
mass-to-flux ratios in the cloud envelope and core based on averaging of the
envelope radio Zeeman observations, as in Crutcher et al. (2009). In L1544, the
NIR BSP shows the envelope B-field to be significantly non-uniform and likely
not suitable for averaging Zeeman properties without treating intrinsic
variations. Deeper analyses of the NIR BSP and related data sets, including
estimates of the B-field strength and testing how it varies with position and
gas density, are the subjects of later papers in this series.


title:
An investigation of non-equilibrium heat transport in a gas system under
  external force field

abstract:
  The gas dynamics under external force field is essentially associated with
multiple scale nature due to the large variations of density and local Knudsen
number. Single scale fluid dynamic equations, such as the Boltzmann and
Navier-Stokes equations, are valid in their respective modeling scales, and it
is challenging for the modeling and computation of a multiple scale problem
across different regimes and capture the corresponding non-equilibrium flow
physics. Based on the direct modeling of conservation laws in the discretized
space, a well-balanced unified gas-kinetic scheme (UGKS) for multiscale flow
transport under external force field has been developed and is used in the
current study of non-equilibrium gaseous flow under external force field. With
the variation of modeling scale, i.e., the cell size and time step, the UGKS is
able to recover cross-scale flow physics from particle transport to
hydrodynamic wave propagation. Theoretical analysis based on the kinetic model
equation is presented to conceptually illustrate the effects of external force
on the non-equilibrium heat transport.


title: Nucleon in a periodic magnetic field

abstract:
  The energy shift of a nucleon in a static periodic magnetic field is
evaluated at second order in the external field strength in perturbation
theory. It is shown that the measurement of this energy shift on the lattice
allows one to determine the unknown subtraction function in the forward doubly
virtual Compton scattering amplitude. The limits of applicability of the
obtained formula for the energy shift are discussed.


title:
The Muskat problem in 2D: equivalence of formulations, well-posedness,
  and regularity results

abstract:
  In this paper we consider the Muskat problem describing the motion of two
unbounded immiscible fluid layers with equal viscosities in vertical or
horizontal two-dimensional geometries. We first prove that the mathematical
model can be formulated as an evolution problem for the sharp interface
separating the two fluids, which turns out to be, in a suitable functional
analytic setting, quasilinear and of parabolic type. Based upon these
properties, we then establish the local well-posedness of the problem for
arbitrary large initial data and show that the solutions become instantly
real-analytic in time and space. Our method allows us to choose the initial
data in the class $H^s,$ $s\in(3/2,2)$, when neglecting surface tension,
respectively in $H^s,$ $s\in(2,3),$ when surface tension effects are included.
Besides, we provide new criteria for the global existence of solutions.


title: Quantitative Pesin theory for Anosov diffeomorphisms and flows

abstract:
  Pesin sets are measurable sets along which the behavior of a matrix cocycle
above a measure preserving dynamical system is explicitly controlled. In
uniformly hyper-bolic dynamics, we study how often points return to Pesin sets
under suitable conditions on the cocycle: if it is locally constant, or if it
admits invariant holonomies and is pinching and twisting, we show that the
measure of points that do not return a linear number of times to Pesin sets is
exponentially small. We discuss applications to the exponential mixing of
contact Anosov flows, and counterexamples illustrating the necessity of
suitable conditions on the cocycle.


title:
Kinetic temperature of massive star forming molecular clumps measured
  with formaldehyde

abstract:
  For a general understanding of the physics involved in the star formation
process, measurements of physical parameters such as temperature and density
are indispensable. The chemical and physical properties of dense clumps of
molecular clouds are strongly affected by the kinetic temperature. Therefore,
this parameter is essential for a better understanding of the interstellar
medium. Formaldehyde, a molecule which traces the entire dense molecular gas,
appears to be the most reliable tracer to directly measure the gas kinetic
temperature.We aim to determine the kinetic temperature with spectral lines
from formaldehyde and to compare the results with those obtained from ammonia
lines for a large number of massive clumps.Three 218 GHz transitions
(JKAKC=303-202, 322-221, and 321-220) of para-H2CO were observed with the 15m
James Clerk Maxwell Telescope (JCMT) toward 30 massive clumps of the Galactic
disk at various stages of high-mass star formation. Using the RADEX non-LTE
model, we derive the gas kinetic temperature modeling the measured para-H2CO
322-221/303-202and 321-220/303-202 ratios. The gas kinetic temperatures derived
from the para-H2CO (321-220/303-202) line ratios range from 30 to 61 K with an
average of 46 K. A comparison of kinetic temperature derived from para-H2CO,
NH3, and the dust emission indicates that in many cases para-H2CO traces a
similar kinetic temperature to the NH3 (2,2)/(1,1) transitions and the dust
associated with the HII regions. Distinctly higher temperatures are probed by
para-H2CO in the clumps associated with outflows/shocks. Kinetic temperatures
obtained from para-H2CO trace turbulence to a higher degree than NH3
(2,2)/(1,1) in the massive clumps. The non-thermal velocity dispersions of
para-H2CO lines are positively correlated with the gas kinetic temperature. The
massive clumps are significantly influenced by supersonic non-thermal motions.


title:
Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge
  Theories

abstract:
  We consider the leading and subleading UV divergences for the four-point
on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theories
in the planar limit. These theories belong to the class of maximally
supersymmetric gauge theories and presumably possess distinguished properties
beyond perturbation theory. In the previous works, we obtained the recursive
relations that allow one to get the leading and subleading divergences in all
loops in a pure algebraic way. The all loop summation of the leading
divergences is performed with the help of the differential equations which are
the generalization of the RG equations for non-renormalizable theories. Here we
mainly focus on solving and analyzing these equations. We discuss the
properties of the obtained solutions and interpretation of the results.