title: On the Statistics of Baryon Correlation Functions in Lattice QCD

abstract:
  A systematic analysis of the structure of single-baryon correlation functions
calculated with lattice QCD is performed, with a particular focus on
characterizing the structure of the noise associated with quantum fluctuations.
The signal-to-noise problem in these correlation functions is shown, as long
suspected, to result from a sign problem. The log-magnitude and complex phase
are found to be approximately described by normal and wrapped normal
distributions respectively. Properties of circular statistics are used to
understand the emergence of a large time noise region where standard energy
measurements are unreliable. Power-law tails in the distribution of baryon
correlation functions, associated with stable distributions and "Levy flights",
are found to play a central role in their time evolution. A new method of
analyzing correlation functions is considered for which the signal-to-noise
ratio of energy measurements is constant, rather than exponentially degrading,
with increasing source-sink separation time. This new method includes an
additional systematic uncertainty that can be removed by performing an
extrapolation, and the signal-to-noise problem re-emerges in the statistics of
this extrapolation. It is demonstrated that this new method allows accurate
results for the nucleon mass to be extracted from the large-time noise region
inaccessible to standard methods. The observations presented here are expected
to apply to quantum Monte Carlo calculations more generally. Similar methods to
those introduced here may lead to practical improvements in analysis of noisier
systems.

categories: hep-lat cond-mat.stat-mech cond-mat.str-el hep-ph nucl-th


title:
Phase-locked array of quantum cascade lasers with an intracavity spatial
  filter

abstract:
  Phase-locking an array of quantum cascade lasers is an effective way to
achieve higher output power and beam shaping. In this article, based on Talbot
effect, we show a new-type phase-locked array of mid-infrared quantum cascade
lasers with an integrated spatial- filtering Talbot cavity. All the arrays show
stable in-phase operation from the threshold current to full power current. The
beam divergence of the array device is smaller than that of a single-ridge
laser. We use the multi-slit Fraunhofer diffraction mode to interpret the
far-field radiation profile and give a solution to get better beam quality. The
maximum power is just about 5 times that of a single-ridge laser for
eleven-laser array device and 3 times for seven-laser array device. Considering
the great modal selection ability, simple fabricating process and the potential
for achieving better beam quality and smaller cavity loss, this new-type
phase-locked array may be a hopeful and elegant solution to get high power or
beam shaping.


title: Positronium Decay into a Photon and Neutrinos

abstract:
  We determine the rates and energy and angular distributions of the
positronium decays into a photon and a neutrino-antineutrino pair,
Ps-->gamma+nu+anti-nu. We find that both positronium spin states have access to
this decay channel, contrary to a previously published result. The low-energy
tails of the spectra are shown to be sensitive to the binding effects and agree
with Low's theorem. Additionally, we find a connection between the behaviour of
the soft photon spectrum in both o-Ps-->gamma+nu+anti-nu and o-Ps-->3gamma
decays, and the Stark effect.


title: Nonexistence of twenty-fourth power residue addition sets

abstract:
  Let n > 1 be an integer, and let F denote a field of p elements for a prime p
= 1 (mod n). By 2015, the question of existence or nonexistence of n-th power
residue difference sets in F had been settled for all n < 24. We settle the
case n = 24 by proving the nonexistence of 24-th power residue difference sets
in F. We also prove the nonexistence of qualified 24-th power residue
difference sets in F. The proofs make use of a Mathematica program which
computes formulas for the cyclotomic numbers of order 24 in terms of parameters
occurring in quadratic partitions of p.


title: Sums of inverses in thin sets of finite fields

abstract:
  We obtain lower bounds for the cardinality of $k$-fold sum-sets of
reciprocals of elements of suitable defined short intervals in high degree
extensions of finite fields. Combining our results with bounds for multilinear
character sums we obtain new results on incomplete multilinear Kloosterman sums
in finite fields.


title:
The Pan-Pacific Planet Search VI: Giant planets orbiting HD 86950 and HD
  222076

abstract:
  We report the detection of two new planets orbiting the K giants HD 86950 and
HD 222076, based on precise radial velocities obtained with three instruments:
AAT/UCLES, FEROS, and CHIRON. HD 86950b has a period of 1270$\pm$57 days at
$a=2.72\pm$0.08 AU, and m sin $i=3.6\pm$0.7 Mjup. HD 222076b has $P=871\pm$19
days at $a=1.83\pm$0.03 AU, and m sin $i=1.56\pm$0.11 Mjup. These two giant
planets are typical of the population of planets known to orbit evolved stars.
In addition, we find a high-amplitude periodic velocity signal ($K\sim$50 m/s)
in HD 29399, and show that it is due to stellar variability rather than
Keplerian reflex motion. We also investigate the relation between planet
occurrence and host-star metallicity for the 164-star Pan-Pacific Planet Search
sample of evolved stars. In spite of the small sample of PPPS detections, we
confirm the trend of increasing planet occurrence as a function of metallicity
found by other studies of planets orbiting evolved stars.


title:
A Novel Control-flow based Intrusion Detection Technique for Big Data
  Systems

abstract:
  Security and distributed infrastructure are two of the most common
requirements for big data software. But the security features of the big data
platforms are still premature. It is critical to identify, modify, test and
execute some of the existing security mechanisms before using them in the big
data world. In this paper, we propose a novel intrusion detection technique
that understands and works according to the needs of big data systems. Our
proposed technique identifies program level anomalies using two methods - a
profiling method that models application behavior by creating process
signatures from control-flow graphs; and a matching method that checks for
coherence among the replica nodes of a big data system by matching the process
signatures. The profiling method creates a process signature by reducing the
control-flow graph of a process to a set of minimum spanning trees and then
creates a hash of that set. The matching method first checks for similarity in
process behavior by matching the received process signature with the local
signature and then shares the result with all replica datanodes for consensus.
Experimental results show only 0.8% overhead due to the proposed technique when
tested on the hadoop map-reduce examples in real-time.


title:
On the Design and Optimization of an Autonomous Microgravity Enabling
  Aerial Robot

abstract:
  This paper describes the process and challenges behind the design and
development of a micro-gravity enabling aerial robot. The vehicle, designed to
provide at minimum 4 seconds of micro-gravity at an accuracy of .001 g's, is
designed with suggestions and constraints from both academia and industry as
well a regulatory agency. The feasibility of the flight mission is validated
using a simulation environment, where models obtained from system
identification of existing hardware are implemented to increase the fidelity of
the simulation. The current development of a physical test bed is described.
The vehicle employs both control and autonomy logic, which is developed in the
Simulink environment and executed in a Pixhawk flight control board.


title: Hadamard quantum broadcast channels

abstract:
  We consider three different communication tasks for quantum broadcast
channels, and we determine the capacity region of a Hadamard broadcast channel
for these various tasks. We define a Hadamard broadcast channel to be such that
the channel from the sender to one of the receivers is entanglement-breaking
and the channel from the sender to the other receiver is complementary to this
one. As such, this channel is a quantum generalization of a degraded broadcast
channel, which is well known in classical information theory. The first
communication task we consider is classical communication to both receivers,
the second is quantum communication to the stronger receiver and classical
communication to other, and the third is entanglement-assisted classical
communication to the stronger receiver and unassisted classical communication
to the other. The structure of a Hadamard broadcast channel plays a critical
role in our analysis: the channel to the weaker receiver can be simulated by
performing a measurement channel on the stronger receiver's system, followed by
a preparation channel. As such, we can incorporate the classical output of the
measurement channel as an auxiliary variable and solve all three of the above
capacities for Hadamard broadcast channels, in this way avoiding known
difficulties associated with quantum auxiliary variables.


title:
Anyon condensation and a generic tensor-network construction for
  symmetry protected topological phases

abstract:
  We present systematic constructions of tensor-network wavefunctions for
bosonic symmetry protected topological (SPT) phases respecting both onsite and
spatial symmetries. From the classification point of view, our results show
that in spatial dimensions $d=1,2,3$, the cohomological bosonic SPT phases
protected by a general symmetry group $SG$ involving onsite and spatial
symmetries are classified by the cohomology group $H^{d+1}(SG,U(1))$, in which
both the time-reversal symmetry and mirror reflection symmetries should be
treated as anti-unitary operations. In addition, for every SPT phase protected
by a discrete symmetry group and some SPT phases protected by continous
symmetry groups, generic tensor-network wavefunctions can be constructed which
would be useful for the purpose of variational numerical simulations. As a
by-product, our results demonstrate a generic connection between rather
conventional symmetry enriched topological phases and SPT phases via an anyon
condensation mechanism.


title:
Thermal X-ray emission from massive, fast rotating, highly magnetized
  white dwarfs

abstract:
  There is solid observational evidence on the existence of massive, $M\sim
1~M_\odot$, highly magnetized white dwarfs (WDs) with surface magnetic fields
up to $B\sim 10^9$ G. We show that, if in addition to these features, the star
is fast rotating, it can become a rotation-powered pulsar-like WD and emit
detectable high-energy radiation. We infer the values of the structure
parameters (mass, radius, moment of inertia), magnetic field, rotation period
and spin-down rates of a WD pulsar death-line. We show that WDs above the
death-line emit blackbody radiation in the soft X-ray band via the magnetic
polar cap heating by back flowing pair-created particle bombardment and discuss
as an example the X-ray emission of soft gamma-repeaters and anomalous X-ray
pulsars within the WD model.


title:
A heterogeneous III-V/silicon integration platform for on-chip quantum
  photonic circuits with single quantum dot devices

abstract:
  Photonic integration is an enabling technology for photonic quantum science,
offering greater scalability, stability, and functionality than traditional
bulk optics. Here, we describe a scalable, heterogeneous III-V/silicon
integration platform to produce Si$_3$N$_4$ photonic circuits incorporating
GaAs-based nanophotonic devices containing self-assembled InAs/GaAs quantum
dots. We demonstrate pure singlephoton emission from individual quantum dots in
GaAs waveguides and cavities - where strong control of spontaneous emission
rate is observed - directly launched into Si$_3$N$_4$ waveguides with > 90 %
efficiency through evanescent coupling. To date, InAs/GaAs quantum dots
constitute the most promising solidstate triggered single-photon sources,
offering bright, pure and indistinguishable emission that can be electrically
and optically controlled. Si$_3$N$_4$ waveguides offer low-loss propagation,
tailorable dispersion and high Kerr nonlinearities, desirable for linear and
nonlinear optical signal processing down to the quantum level. We combine these
two in an integration platform that will enable a new class of scalable,
efficient and versatile integrated quantum photonic devices


title:
$\mathbb{Z}_2$-orbifold construction associated with $(-1)$-isometry and
  uniqueness of holomorphic vertex operator algebras of central charge 24

abstract:
  The vertex operator algebra structure of a strongly regular holomorphic
vertex operator algebra $V$ of central charge $24$ is proved to be uniquely
determined by the Lie algebra structure of its weight one space $V_1$ if $V_1$
is a Lie algebra of the type $A_{1,4}^{12}$, $B_{2,2}^6$, $B_{3,2}^4$,
$B_{4,2}^3$, $B_{6,2}^2$, $B_{12,2}$, $D_{4,2}^2B_{2,1}^4$, $D_{8,2}B_{4,1}^2$,
$A_{3,2}^4A_{1,1}^4$, $D_{5,2}^2A_{3,1}^2$, $D_{9,2}A_{7,1}$, $C_{4,1}^4$ or
$D_{6,2}B_{3,1}^2C_{4,1}$.


title: Polynomial splittings of correction terms and doubly slice knots

abstract:
  We show that if the connected sum of two knots with coprime Alexander
polynomials is doubly slice, then the Ozsv\'ath-Szab\'o correction terms as
smooth double sliceness obstructions vanish for both knots. Recently, Jeffrey
Meier gave smoothly slice knots that are topologically doubly slice, but not
smoothly doubly slice. As an application, we give a new example of such knots
that is distinct from Meier's knots modulo doubly slice knots.


title:
Conditioned Langevin Dynamics enables efficient sampling of transition
  paths

abstract:
  We propose a novel stochastic method to generate Brownian paths conditioned
to start at an initial point and end at a given final point during a fixed time
$t_{f}$ under a given potential $U(x)$. These paths are sampled with a
probability given by the overdamped Langevin dynamics. We show that these paths
can be exactly generated by a local Stochastic Partial Differential Equation
(SPDE). This equation cannot be solved in general. We present several
approximations that are valid either in the low temperature regime or in the
presence of barrier crossing. We show that this method warrants the generation
of statistically independent transition paths. It is computationally very
efficient. We illustrate the method on the two dimensional Mueller potential as
well as on the Mexican hat potential.


title: A Network Formation Model Based on Subgraphs

abstract:
  We develop a new class of random-graph models for the statistical estimation
of network formation -- subgraph generated models (SUGMs) -- that allow for
substantial correlation in links. Various subgraphs (e.g., links, triangles,
cliques, stars) are generated and their union results in a network. We show
that all SUGMs are identified and, further, establish the consistency and
asymptotic distribution of parameter estimates in empirically relevant cases.
We show that a simple four-parameter SUGM matches basic patterns in observed
networks more closely than four standard models (with many more dimensions):
(i) stochastic block models; (ii) models with node-level unobserved
heterogeneity; (iii) latent space models; (iv) exponential random graphs. We
illustrate the framework's value further via several applications using
networks from rural India. We study whether network structure helps enforce
risk-sharing, whether cross-caste interactions are more likely to be private,
and how the introduction of microcredit changes network formation incentives.
We also develop a new central limit theorem for correlated random variables,
which is required to prove our results and is of independent interest.


title: Improving Efficiency of SVM k-fold Cross-validation by Alpha Seeding

abstract:
  The k-fold cross-validation is commonly used to evaluate the effectiveness of
SVMs with the selected hyper-parameters. It is known that the SVM k-fold
cross-validation is expensive, since it requires training k SVMs. However,
little work has explored reusing the h-th SVM for training the (h+1)-th SVM for
improving the efficiency of k-fold cross-validation. In this paper, we propose
three algorithms that reuse the h-th SVM for improving the efficiency of
training the (h+1)-th SVM. Our key idea is to efficiently identify the support
vectors and to accurately estimate their associated weights (also called alpha
values) of the next SVM by using the previous SVM. Our experimental results
show that our algorithms are several times faster than the k-fold
cross-validation which does not make use of the previously trained SVM.
Moreover, our algorithms produce the same results (hence same accuracy) as the
k-fold cross-validation which does not make use of the previously trained SVM.


title: On a Generalization for Quaternion Sequences

abstract:
  In this study, we introduce a new classes of quaternion numbers. We show that
this new classes quaternion numbers include all of quaternion numbers such as
Fibonacci, Lucas, Pell, Jacobsthal, Pell-Lucas, Jacobsthal-Lucas quaternions
have been studied by many authors. Moreover, for this newly defined quaternion
numbers we give the generating function, norm value, Cassini identity,
summation formula and their some properties.


title: Multigrid Neural Architectures

abstract:
  We propose a multigrid extension of convolutional neural networks (CNNs).
Rather than manipulating representations living on a single spatial grid, our
network layers operate across scale space, on a pyramid of grids. They consume
multigrid inputs and produce multigrid outputs; convolutional filters
themselves have both within-scale and cross-scale extent. This aspect is
distinct from simple multiscale designs, which only process the input at
different scales. Viewed in terms of information flow, a multigrid network
passes messages across a spatial pyramid. As a consequence, receptive field
size grows exponentially with depth, facilitating rapid integration of context.
Most critically, multigrid structure enables networks to learn internal
attention and dynamic routing mechanisms, and use them to accomplish tasks on
which modern CNNs fail.
  Experiments demonstrate wide-ranging performance advantages of multigrid. On
CIFAR and ImageNet classification tasks, flipping from a single grid to
multigrid within the standard CNN paradigm improves accuracy, while being
compute and parameter efficient. Multigrid is independent of other
architectural choices; we show synergy in combination with residual
connections. Multigrid yields dramatic improvement on a synthetic semantic
segmentation dataset. Most strikingly, relatively shallow multigrid networks
can learn to directly perform spatial transformation tasks, where, in contrast,
current CNNs fail. Together, our results suggest that continuous evolution of
features on a multigrid pyramid is a more powerful alternative to existing CNN
designs on a flat grid.


title: On Stiefel-Whitney classes of vector bundles over real Stiefel Manifolds

abstract:
  In this article we show that there are at most two integers up to $2(n-k)$,
which can occur as the degrees of nonzero Stiefel-Whitney classes of vector
bundles over the Stiefel manifold $V_k(\mathbb{R}^n)$. In the case when $n>
k(k+4)/4$, we show that if $w_{2^q}(\xi)$ is the first nonzero Stiefel-Whitney
class of a vector bundle $\xi$ over $V_k(\mathbb{R}^n)$ then $w_t(\xi)$ is zero
if $t$ is not a multiple of $2^q.$ In addition, we give relations among
Stiefel-Whitney classes whose degrees are multiples of $2^q$.


title:
Learning Cost-Effective and Interpretable Regimes for Treatment
  Recommendation

abstract:
  Decision makers, such as doctors and judges, make crucial decisions such as
recommending treatments to patients, and granting bails to defendants on a
daily basis. Such decisions typically involve weighting the potential benefits
of taking an action against the costs involved. In this work, we aim to
automate this task of learning {cost-effective, interpretable and actionable
treatment regimes. We formulate this as a problem of learning a decision list
-- a sequence of if-then-else rules -- which maps characteristics of subjects
(eg., diagnostic test results of patients) to treatments. We propose a novel
objective to construct a decision list which maximizes outcomes for the
population, and minimizes overall costs. We model the problem of learning such
a list as a Markov Decision Process (MDP) and employ a variant of the Upper
Confidence Bound for Trees (UCT) strategy which leverages customized checks for
pruning the search space effectively. Experimental results on real world
observational data capturing treatment recommendations for asthma patients
demonstrate the effectiveness of our approach.


title:
Exact scaling of geometric phase and fidelity susceptibility and their
  breakdown across the critical points

abstract:
  It was shown via numerical simulations that geometric phase (GP) and fidelity
susceptibility (FS) in some quantum models exhibit universal scaling laws
across phase transition points. Here we propose a singular function expansion
method to determine their exact form across the critical points as well as
their corresponding constants. For the models such as anisotropic XY model
where the energy gap is closed and reopened at the special points ($k_0 = 0,
\pi$), scaling laws can be found as a function of system length $N$ and
parameter deviation $\lambda - \lambda_c$ (where $\lambda_c$ is the critical
parameter). Intimate relations for the coefficients in GP and FS have also been
determined. However in the extended models where the gap is not closed and
reopened at these special points, the scaling as a function of system length
$N$ breaks down. We also show that the second order derivative of GP also
exhibits some intriguing scaling laws across the critical points. These exact
results can greatly enrich our understanding of GP and FS in the
characterization of quantum phase transitions.


abstract:
  In thermodynamics, there exists a conventional belief that "the Carnot
efficiency is reachable only when a process is reversible." However, there is
no theorem proving that the Carnot efficiency is unattainable in an
irreversible process. Here, we show that the Carnot efficiency is reachable in
an irreversible process through investigation of the Feynman-Smoluchowski
ratchet (FSR). We also show that it is possible to enhance the efficiency by
increasing the irreversibility. Our result opens a new possibility of designing
an efficient heat engine in a highly irreversible process and also answers the
long-standing question of whether the FSR can operate with the Carnot
efficiency.


title:
X-ray dynamical diffraction in amino acid crystals: a step towards
  improving structural resolution of biological molecules via physical phase
  measurements

abstract:
  In this work, experimental and data analysis procedures were developed and
applied for studying amino acid crystals by means of X-ray phase measurements.
It clearly demonstrated the sensitivity of invariant triplet phases to
electronic charge distribution in D-alanine crystal, providing useful
information on intermolecular forces for molecular dynamics calculations.
Feasibility of phase measurements to investigate radiation damage mechanisms is
also discussed on experimental and theoretical grounds.


title: Expected Riesz energy of some determinantal processes on flat tori

abstract:
  We compute the expected Riesz energy of random points on flat tori drawn from
certain translation invariant determinantal processes and determine the process
in the family providing the optimal asymptotic expected Riesz energy.


title: Initial conditions in AA and pA collisions

abstract:
  A full understanding of the spacetime evolution of the QCD matter created in
a heavy ion collision requires understanding the properties of the initial
stages. In the weak coupling picture these are dominated by classical gluon
fields, whose properties can also be studied via the scattering of dilute
probes off a high energy hadron or nucleus. A particular challenge is
understanding small systems, where LHC data is also showing signs of collective
behavior. We discuss some recent results of on the initial matter production
and thermalization in heavy ion collisions, in particular in the gluon
saturation framework.


title: The Great Saturn Storm of 2010-2011

abstract:
  In December 2010, a major storm erupted in Saturn's northern hemisphere near
37 degree planetographic latitude. This rather surprising event, occurring at
an unexpected latitude and time, is the sixth "Great White Spot" (GWS) storm
observed over the last century and a half. Such GWS events are planetary-scale
atmospheric phenomena that dramatically change the typically bland appearance
of the planet. Occurring while the Cassini mission was on-orbit at Saturn, the
Great Storm of 2010-2011 was well-suited for intense scrutiny by the suite of
sophisticated instruments onboard the Cassini spacecraft as well by modern
instrumentation on ground-based telescopes and onboard the Hubble Space
Telescope. This GWS erupted on December 5th and generated a major dynamical
disturbance that affected the whole latitude band from 25 deg to 48 deg N.
Lightning events were prominent and detected as outbursts and flashes at both
optical and radio wavelengths. The activity of the head ceased after about
seven months, leaving the cloud structure and ambient winds perturbed. The tops
of the optically dense clouds of the storm's head reached the 300 mbar altitude
level where a mixture of ices was detected. The energetics of the frequency and
power of lightning, as well as the estimated power generated by the latent heat
released in the water-based convection, both indicate that the power released
for the storm was a significant fraction of Saturn's total radiated power. The
effects of the storm propagated into the stratosphere forming two warm
airmasses at the 0.5-5 mbar pressure level altitude. Related to the
stratospheric disturbance, hydrocarbon composition excesses were found. The
decades-long interval between storms is probably related to the insolation
cycle and the long radiative time constant of Saturn's atmosphere, and several
theories for temporarily storing energy have been proposed.


title:
Light Stops, Heavy Higgs, and Heavy Gluinos in Supersymmetric Standard
  Models with Extra Matters

abstract:
  We have explored the possibilities of scenarios with heavy gluinos and light
stops in supersymmetric (SUSY) standard models with extra vector-like
multiplets. If we assume the hierarchical structure for soft masses of the
minimal supersymmetric standard model (MSSM) scalar fields and extra scalars,
the light stop and the observed Higgs boson can be realized. While the stau is
the lightest SUSY particle (LSP) in broad parameter space, we have found that
the neutralino LSP is realized in the case that the non-zero soft parameters
for the MSSM Higgs doublets or the non-universal gaugino masses are assumed.


title: Logarithmic vanishing theorems on compact K\"{a}hler manifolds I

abstract:
  In this paper, we first establish an $L^2$-type Dolbeault isomorphism for
logarithmic differential forms by H\"{o}rmander's $L^2$-estimates. By using
this isomorphism and the construction of smooth Hermitian metrics, we obtain a
number of new vanishing theorems for sheaves of logarithmic differential forms
on compact K\"ahler manifolds with simple normal crossing divisors, which
generalize several classical vanishing theorems, including Norimatsu's
vanishing theorem, Gibrau's vanishing theorem, Le Potier's vanishing theorem
and a version of the Kawamata-Viehweg vanishing theorem.


title:
Spatially resolved star formation relation in two HI-rich galaxies with
  central post-starburst signature

abstract:
  E+A galaxies are post-starburst systems that are identified from their
optical spectra. These galaxies contain a substantial young A-type stellar
component, but have only little ongoing star formation (SF). HI 21-cm line
emission is found in approximately half of the nearby E+A galaxies, indicating
that they contain a reservoir of gas that could fuel active SF. Here, we study
two HI-rich galaxies, which show a typical E+A spectrum at the centre and SF at
larger radii. We present new high spatial resolution radio interferometric
observations of the HI 21-cm emission line using the VLA and of the CO(1-0)
emission line using ALMA. We combine these data sets to predict the SFR and
show that it does not correlate well with the SFR derived from H alpha on
sub-kpc scales. We apply a recently developed statistical model for the small
scale behaviour of the SF relation to predict and interpret the observed
scatter. We find smoothly distributed, regularly rotating HI gas. The CO(1-0)
emission line is not detected for both galaxies. The derived upper limit on the
CO mass implies a molecular gas depletion time shorter than 20 Myr. However,
due to the low metallicity, the CO-to-H2 conversion factor is highly uncertain.
In the relations between the H alpha-based SFR and the HI mass, we observe a
substantial scatter we demonstrate results from small-number statistics of
independent star-forming regions on sub-kpc scales. This finding adds to the
existing literature reporting a scale dependence of the molecular SF relation,
showing that the atomic and molecular phases are both susceptible to the
evolutionary 'cycling' of individual regions. This suggests that the atomic gas
reservoirs host substantial substructure, which should be observable with
future high-resolution observations. (abridged)


title: On-chip dual comb source for spectroscopy

abstract:
  Dual-comb spectroscopy is a powerful technique for real-time, broadband
optical sampling of molecular spectra which requires no moving components.
Recent developments with microresonator-based platforms have enabled frequency
combs at the chip scale. However, the need to precisely match the resonance
wavelengths of distinct high-quality-factor microcavities has hindered the
development of an on-chip dual comb source. Here, we report the first
simultaneous generation of two microresonator combs on the same chip from a
single laser. The combs span a broad bandwidth of 51 THz around a wavelength of
1.56 $\mu$m. We demonstrate low-noise operation of both frequency combs by
deterministically tuning into soliton mode-locked states using integrated
microheaters, resulting in narrow ($<$ 10 kHz) microwave beatnotes. We further
use one mode-locked comb as a reference to probe the formation dynamics of the
other comb, thus introducing a technique to investigate comb evolution without
auxiliary lasers or microwave oscillators. We demonstrate broadband high-SNR
absorption spectroscopy of dichloromethane spanning 170 nm using the dual comb
source over a 20 $\mu$s acquisition time. Our device paves the way for compact
and robust dual-comb spectrometers at nanosecond timescales.


title:
Hall resistivity correlations in disordered electron-doped
  Nd$_{2-x}$Ce$_x$CuO$_{4+\delta}$ films

abstract:
  The resistivity tensor correlations $\rho_{xy}$($B$)$\sim$
$[\rho_{xx}(B)]^\beta$ for the mixed state magnetic field dependencies of the
resistivity tensor of electron-doped Nd$_{2-x}$Ce$_x$CuO$_{4+\delta}$/SrTiO$_3$
single crystal films near the antiferromagnetic (AF) - superconducting (SC)
phase transition and with varying degree of disorder ($\delta$) were studied.
The decrease of $\beta$ from 1.2$\pm$0.2 at $x$ = 0.14 to 0.6$\pm$0.1 at $x$ =
0.15 points out on the evidence of the change from the anisotropic $s$ - wave
to the $d$ - wave pairing symmetry in the external magnetic field at the
transition from underdoped to optimally doped region. Peculiarities of the
power law dependence of the vortex motion in the mixed state can be connected
with some features of the nonstoichiometric disorder in layered electron-doped
superconductors.


title: Video Captioning with Transferred Semantic Attributes

abstract:
  Automatically generating natural language descriptions of videos plays a
fundamental challenge for computer vision community. Most recent progress in
this problem has been achieved through employing 2-D and/or 3-D Convolutional
Neural Networks (CNN) to encode video content and Recurrent Neural Networks
(RNN) to decode a sentence. In this paper, we present Long Short-Term Memory
with Transferred Semantic Attributes (LSTM-TSA)---a novel deep architecture
that incorporates the transferred semantic attributes learnt from images and
videos into the CNN plus RNN framework, by training them in an end-to-end
manner. The design of LSTM-TSA is highly inspired by the facts that 1) semantic
attributes play a significant contribution to captioning, and 2) images and
videos carry complementary semantics and thus can reinforce each other for
captioning. To boost video captioning, we propose a novel transfer unit to
model the mutually correlated attributes learnt from images and videos.
Extensive experiments are conducted on three public datasets, i.e., MSVD, M-VAD
and MPII-MD. Our proposed LSTM-TSA achieves to-date the best published
performance in sentence generation on MSVD: 52.8% and 74.0% in terms of BLEU@4
and CIDEr-D. Superior results when compared to state-of-the-art methods are
also reported on M-VAD and MPII-MD.


title: Approximating orbifold spectra using collapsing connected sums

abstract:
  For a closed Riemannian orbifold $O$, we compare the spectra of the
Laplacian, acting on functions or differential forms, to the Neumann spectra of
the orbifold with boundary given by a domain $U$ in $O$ whose boundary is a
smooth manifold. Generalizing results of several authors, we prove that the
metric of $O$ can be perturbed to ensure that the first $N$ eigenvalues of $U$
and $O$ are arbitrarily close to one another. This involves a generalization of
the Hodge decomposition to the case of orbifolds with manifold boundary. Using
these results, we study the behavior of the Laplace spectrum on functions or
forms of a connected sum of two Riemannian orbifolds as one orbifold in the
pair is collapsed to a point. We show that the limits of the eigenvalues of the
connected sum are equal to those of the non-collapsed orbifold in the pair. In
doing so, we prove the existence of a sequence of orbifolds with singular
points whose eigenvalue spectra come arbitrarily close to the spectrum of a
manifold, and a sequence of manifolds whose eigenvalue spectra come arbitrarily
close to the eigenvalue spectrum of an orbifold with singular points. We also
consider the question of prescribing the first part of the spectrum of an
orientable orbifold.


title:
A statistical method for analyzing and comparing spatiotemporal cortical
  activation patterns

abstract:
  We present a new statistical method to analyze multichannel steady-state
local field potentials (LFP) recorded within different sensory cortices of
different rodent species. Our spatiotemporal multi-dimensional cluster
statistics (MCS) method enables statistical analyzing and comparing clusters of
data points in n-dimensional space. We demonstrate that using this approach
stimulus-specific attractor-like spatiotemporal activity patterns can be
detected and be significantly different from each other during stimulation with
long-lasting stimuli. Our method may be applied to other types of multichannel
neuronal data, like EEG, MEG or spiking responses and used for the development
of new read-out algorithms of brain activity and by that opens new perspectives
for the development of brain-computer interfaces.


title: Revealing quantum properties with simple measurements

abstract:
  Since the beginning of quantum mechanics, many puzzling phenomena which
distinguish the quantum from the classical world, have appeared such as
complementarity, entanglement or contextuality. All of these phenomena are
based on the existence of non-commuting observables in quantum mechanics.
Furthermore, theses effects generate advantages which allow quantum
technologies to surpass classical technologies.
  In this lecture note, we investigate two prominent examples of these
phenomenons: complementarity and entanglement. We discuss some of their basic
properties and introduce general methods for their experimental investigation.
In this way, we find many connections between the investigation of
complementarity and entanglement. One of these connections is given by the
Cauchy-Schwarz inequality which helps to formulate quantitative measurement
procedures to observe complementarity as well as entanglement.


title:
Thermodynamic Investigation of Metamagnetic Transitions and Partial
  Disorder in the Quasi-Kagome Kondo Lattice CePdAl

abstract:
  Low-temperature ($T$) thermodynamic properties in magnetic fields ($B$) of
the quasi-Kagome antiferromagnet CePdAl ($T_{\rm N}\sim$ 2.7 K) were studied by
means of magnetization and specific-heat $C(T,B)$ measurements. The unusual
magnetic phase diagram, including three thermodynamic phases I-III, and
crossover anomalies, has been obtained. In low-field phase I, the existence of
the partial Kondo screening state on the one-third Ce sites is supported from
the thermodynamic point of view: (i) an appearance of the paramagnetic moment
with one-third of the full moment around 3 T, and (ii) an occurrence of the
entropy release $\sim$0.3$R$ln2 around the observed crossover. On the other
hand, a strong enhancement of $C/T$ is found around the point, where $T_{\rm
N}(B)$ meets the boundary of phase III, indicating the possible presence of a
tri-critical point. Furthermore, it is suggested that the three metamagnetic
transitions at $B_{{\rm m}i}$ ($i=$1,2,3) come from successive increments of
the Ising-type magnetic moment along the $c$-axis. In high-field state above 20
T, the behavior of $f$ electron can be rather described by the
crystal-electric-field model.


title: Dynamics of magnetic nano-flake vortices in Newtonian fluids

abstract:
  We study the rotational motion of nano-flake ferromagnetic discs suspended in
a Newtonian fluid, as a potential material owing the vortex-like magnetic
configuration. Using analytical expressions for hydrodynamic, magnetic and
Brownian torques, the stochastic angular momentum equation is determined in the
dilute limit conditions under applied magnetic field. Results are compared
against experimental ones and excellent agreement is observed. We also estimate
the uncertainty in the orientation of the discs due to the Brownian torque when
an external magnetic field aligns them. Interestingly, this uncertainty is
roughly proportional to the ratio of thermal energy of fluid to the magnetic
energy stored in the discs. Our approach can be implemented in many practical
applications including biotechnology and multi-functional fluidics.


title:
Loading and compression of a single two-dimensional Bose gas in an
  optical accordion

abstract:
  The experimental realization of 2D Bose gases with a tunable interaction
strength is an important challenge for the study of ultracold quantum matter.
Here we report on the realization of an optical accordion creating a lattice
potential with a spacing that can be dynamically tuned between 11$\,\mu$m and
2$\,\mu$m. We show that we can load ultracold $^{87}$Rb atoms into a single
node of this optical lattice in the large spacing configuration and then
decrease nearly adiabatically the spacing to reach a strong harmonic
confinement with frequencies larger than $\omega_z/2\pi=10\,$kHz. Atoms are
trapped in an additional flat-bottom in-plane potential that is shaped with a
high resolution. By combining these tools we create custom-shaped uniform 2D
Bose gases with tunable confinement along the transverse direction and hence
with a tunable interaction strength.


title: Special cases of the quadratic shortest path problem

abstract:
  The quadratic shortest path problem (QSPP) is \textcolor{black}{the problem
of finding a path with prespecified start vertex $s$ and end vertex $t$ in a
digraph} such that the sum of weights of arcs and the sum of interaction costs
over all pairs of arcs on the path is minimized. We first consider a variant of
the QSPP known as the adjacent QSPP. It was recently proven that the adjacent
QSPP on cyclic digraphs cannot be approximated unless P=NP. Here, we give a
simple proof for the same result.
  We also show that if the quadratic cost matrix is a symmetric weak sum matrix
\textcolor{black}{ and all $s$-$t$ paths have the same length,} then an optimal
solution for the QSPP can be obtained by solving the corresponding instance of
the shortest path problem. Similarly, it is shown that the QSPP with a
symmetric product cost matrix is solvable in polynomial time.
  Further, we provide sufficient and necessary conditions for a QSPP instance
on a complete symmetric digraph with four vertices to be linearizable. We also
characterize linearizable QSPP instances on complete symmetric digraphs with
more than four vertices. Finally, we derive an algorithm that examines whether
a QSPP instance on the directed grid graph $G_{pq}$ ($p,q\geq 2$) is
linearizable. The complexity of this algorithm is
${\mathcal{O}(p^{3}q^{2}+p^{2}q^{3})}$.


title:
Absence of magnetic thermal conductivity in the quantum spin liquid
  candidate YbMgGaO4

abstract:
  We present the ultra-low-temperature specific heat and thermal conductivity
measurements on the single crystals of YbMgGaO$_4$, which was recently argued
to be a promising candidate for quantum spin liquid (QSL). In the zero magnetic
field, a large magnetic contribution of specific heat is observed, and exhibits
a power-law temperature dependence ($C_m \sim T^{0.74}$). On the contrary, we
do not observed any significant contribution of thermal conductivity from
magnetic excitations. In magnetic fields $H \ge$ 6 T, the exponential
$T$-dependence of $C_m$ and the enhanced thermal conductivity indicate a magnon
gap of the fully-polarized state. The absence of magnetic thermal conductivity
at the zero field in this QSL candidate puts a strong constraint on the
theories of its ground state.


title: Classification of extended Clifford algebras

abstract:
  Considering tensor products of special commutative algebras and general real
Clifford algebras, we arrive at extended Clifford algebras. We have found that
there are five types of extended Clifford algebras. The class of extended
Clifford algebras is closed with respect to the tensor product.


title:
Weak KAM theory for discount Hamilton-Jacobi equations and its
  application

abstract:
  Weak KAM theory for discount Hamilton-Jacobi equations and corresponding
discount Lagrangian/Hamiltonian dynamics is developed. Then it is applied to
error estimates for viscosity solutions in the vanishing discount process. The
main feature is to introduce and investigate the family of $\alpha$-limit
points of minimizing curves, with some details in terms of minimizing measures.
In error estimates, the family of $\alpha$-limit points is effectively
exploited with properties of the corresponding dynamical systems.


title: Supercongruences involving $p$-adic Gamma functions

abstract:
  We establish some supercongruences for the truncated ${}_2F_1$ and ${}_3F_2$
hypergeometric series involving the $p$-adic Gamma functions. Some of these
results extend the four Rodriguez-Villegas supercongruences on the truncated
${}_3F_2$ hypergeometric series. The corresponding conjectural supercongruences
modulo $p^3$ are also proposed for further research.


title:
High Intrinsic Catalytic Activity of Two-Dimensional Boron Monolayers
  for Hydrogen Evolution Reaction

abstract:
  Two-dimensional (2D) boron monolayers have been successfully synthesized on
silver substrate very recently. Their potential application is thus of great
significance. In this work, we explore the possibility of boron monolayers
(BMs) as electrocatalysts for hydrogen evolution reaction (HER) by
first-principle method. Our calculations show that the BMs are active catalysts
for HER with nearly zero free energy of hydrogen adsorption, metallic
conductivity and plenty of active sites in the basal plane. The effect of the
substrate on the HER activity is further assessed. It is found that the
substrate has a positive effect on the HER performance caused by the
competitive effect of mismatch strain and charge transfer. The indepth
understanding of the structure dependent HER activity is also provided.


title:
UniMiB SHAR: a new dataset for human activity recognition using
  acceleration data from smartphones

abstract:
  Smartphones, smartwatches, fitness trackers, and ad-hoc wearable devices are
being increasingly used to monitor human activities. Data acquired by the
hosted sensors are usually processed by machine-learning-based algorithms to
classify human activities. The success of those algorithms mostly depends on
the availability of training (labeled) data that, if made publicly available,
would allow researchers to make objective comparisons between techniques.
Nowadays, publicly available data sets are few, often contain samples from
subjects with too similar characteristics, and very often lack of specific
information so that is not possible to select subsets of samples according to
specific criteria. In this article, we present a new dataset of acceleration
samples acquired with an Android smartphone designed for human activity
recognition and fall detection. The dataset includes 11,771 samples of both
human activities and falls performed by 30 subjects of ages ranging from 18 to
60 years. Samples are divided in 17 fine grained classes grouped in two coarse
grained classes: one containing samples of 9 types of activities of daily
living (ADL) and the other containing samples of 8 types of falls. The dataset
has been stored to include all the information useful to select samples
according to different criteria, such as the type of ADL, the age, the gender,
and so on. Finally, the dataset has been benchmarked with four different
classifiers and with two different feature vectors. We evaluated four different
classification tasks: fall vs no fall, 9 activities, 8 falls, 17 activities and
falls. For each classification task we performed a subject-dependent and
independent evaluation. The major findings of the evaluation are the following:
i) it is more difficult to distinguish between types of falls than types of
activities; ii) subject-dependent evaluation outperforms the
subject-independent one


title: A laboratory study of water ice erosion by low-energy ions

abstract:
  Water ice covers the surface of various objects in the outer Solar system.
Within the heliopause, surface ice is constantly bombarded and sputtered by
energetic particles from the solar wind and magnetospheres. We report a
laboratory investigation of the sputtering yield of water ice when irradiated
at 10 K by 4 keV singly (13C+, N+, O+, Ar+) and doubly charged ions (13C2+,
N2+, O2+). The experimental values for the sputtering yields are in good
agreement with the prediction of a theoretical model. There is no significant
difference in the yield for singly and doubly charged ions. Using these yields,
we estimate the rate of water ice erosion in the outer Solar system objects due
to solar wind sputtering. Temperature-programmed desorption of the ice after
irradiation with 13C+ and 13C2+ demonstrated the formation of 13CO and 13CO2,
with 13CO being the dominant formed species.


title:
Room temperature manipulation of long lifetime spins in metallic-like
  carbon nanospheres

abstract:
  The time-window for processing electron spin information (spintronics) in
solid-state quantum electronic devices is determined by the spin-lattice (T1)
and spin-spin (T2) relaxation times of electrons. Minimising the effects of
spin-orbit coupling and the local magnetic contributions of neighbouring atoms
on T1 and T2 at room temperature remain substantial challenges to practical
spintronics. Here, we report a record-high conduction electron T1=T2 of 175 ns
at 300 K in 37 nm +/- 7 nm carbon spheres, which exceeds by far the highest
values observed for any conducting solid state material of comparable size. The
long T1=T2 is due to quantum confinement effects, to the intrinsically weak
spin-orbit coupling of carbon, and to the protecting nature of the outer shells
of the inner spins from the influences of environmental disturbances. Following
the observation of spin polarization by electron spin resonance, we controlled
the quantum state of the electron spin by applying short bursts of an
oscillating magnetic field and observed coherent oscillations of the spin
state. These results demonstrate the feasibility of operating electron spins in
conducting carbon nanospheres as quantum bits at room temperature.


title:
X-ray imaging of spin currents and magnetisation dynamics at the
  nanoscale

abstract:
  Understanding how spins move in time and space is the aim of both fundamental
and applied research in modern magnetism. Over the past three decades, research
in this field has led to technological advances that have had a major impact on
our society, while improving the understanding of the fundamentals of spin
physics. However, important questions still remain unanswered, because it is
experimentally challenging to directly observe spins and their motion with a
combined high spatial and temporal resolution. In this article, we present an
overview of the recent advances in X-ray microscopy that allow researchers to
directly watch spins move in time and space at the microscopically relevant
scales. We discuss scanning X-ray transmission microscopy (STXM) at resonant
soft X-ray edges, which is available at most modern synchrotron light sources.
This technique measures magnetic contrast through the X-ray magnetic circular
dichroism (XMCD) effect at the resonant absorption edges, while focusing the
X-ray radiation at the nanometre scale, and using the intrinsic pulsed
structure of synchrotron-generated X-rays to create time-resolved images of
magnetism at the nanoscale. In particular, we discuss how the presence of spin
currents can be detected by imaging spin accumulation, and how the
magnetisation dynamics in thin ferromagnetic films can be directly imaged. We
discuss how a direct look at the phenomena allows for a deeper understanding of
the the physics at play, that is not accessible to other, more indirect
techniques. Finally, we present an overview of the exciting opportunities that
lie ahead to further understand the fundamentals of novel spin physics,
opportunities offered by the appearance of diffraction limited storage rings
and free electron lasers.


title: On exceptional sets of Hilbert transform

abstract:
  We prove several theorems concerning the exceptional sets of Hilbert
transform on the real line. In particular, it is proved that any null set is
exceptional set for the Hibert transform of an indicator function. The paper
also provides a real variable approach to the Kahane-Katsnelson theorem on
divergence of Fourier series.


title: Integral String Lie Algebra Structure of Spheres

abstract:
  Chas and Sullivan introduced string homology, which is the equivariant
homology of the loop space with the $S^1$ action on loops by rotation. Craig
Westerland computed the string homology for spheres with coefficients in
$\mathbb{Z} /2\mathbb{Z}$ and Somnath Basu computed the string homology and
string bracket for spheres over rational coefficients and found that the
bracket is trivial in his dissertation. In this paper, we compute string
homology and the string bracket for spheres with integer coefficients, treating
the odd- and even-dimensional cases separately. We use the Gysin sequence and
Leray-Serre spectral sequence for our computations. We find that over the
integers, the string Lie algebra bracket structure is not always zero as Basu
found. The string bracket turns out to be non-zero on torsion elements coming
from string homology.


title: Diffeological connections on diffeological vector pseudo-bundles

abstract:
  We consider one possible definition of a diffeological connection on a
diffeological vector pseudo-bundle. It is different from the one proposed in
[7] and is in fact simpler, since it is obtained by a straightforward adaption
of the standard definition of a connection as an operator on the space of all
smooth sections. One aspect prominent in the diffeological context has to do
with the choice of an appropriate substitute for tangent vectors and smooth
vector fields, since there are not yet standard counterparts for these notions.
In this respect we opt for the simplest possibility; since there is an
established notion of the (pseudo-)bundle of differential forms on a
diffeological space, we take the corresponding dual pseudo-bundle to play the
role of the tangent bundle. Smooth vector fields are then smooth sections of
this dual pseudo-bundle; this is one reason why we devote a particular
attention to the space of smooth sections of an arbitrary diffeological vector
pseudo-bundle (one curiosity is that it might easily turn out to be
infinite-dimensional, even when the pseudo-bundle itself has a trivial
finite-dimensional vector bundle as the underlying map). We concentrate a lot
on how this space interacts with the gluing construction for diffeological
vector pseudo-bundles (described in [10]). We then deal with the same question
for the proposed notion of a diffeological connection.


title:
Signatures of the single particle mobility edge in the ground state
  properties of Tonks-Girardeau and non-interacting Fermi gases in a
  bichromatic potential

abstract:
  We explore the ground state properties of cold atomic gases, loaded into a
bichromatic lattice, focusing on the cases of non-interacting fermions and
hard-core (Tonks-Girardeau) bosons, trapped by the combination of two
potentials with incommensurate periods. For such systems, two limiting cases
have been thoroughly established. In the tight-binding limit, the
single-particle states in the lowest occupied band show a localization
transition, as the strength of the second potential is increased above a
certain threshold. In the continuous limit, when the tight-binding
approximation does not hold anymore, a mobility edge is found, whose position
in energy depends upon the strength of the second potential. Here, we study how
the crossover from the discrete to the continuum behavior occurs, and prove
that signatures of the localization transition and mobility edge clearly appear
in the generic many-body properties of the systems. Specifically, we evaluate
the momentum distribution, which is a routinely measured quantity in
experiments with cold atoms, and demonstrate that, even in the presence of
strong boson-boson interactions, the single particle mobility edge can be
observed in the ground state properties.


title: Sharp dimension free bound for the Bakry-Riesz vector

abstract:
  We prove a sharp dimensionless weighted estimate of the Riesz vector on a
Riemannian manifold with non-negative Bakry-Emery curvature. The proof is by
the method of Bellman functions, where the explicit expression of a Bellman
function of six variables is essential. Notice that our estimate is terms of
the Poisson characteristic of the weight includes the case of the Gauss space
as well as other spaces that are not necessarily of homogeneous type.


title: Quantum Zeno suppression of dipole-dipole forces

abstract:
  We consider inter-atomic forces due to resonant dipole-dipole interactions
within a dimer of highly excited Rydberg atoms, embedded in an ultra-cold gas.
These forces rely on a coherent superposition of two-atom electronic states,
which is destroyed by continuous monitoring of the dimer state through a
detection scheme utilizing controllable interactions with the background gas
atoms. We show that this intrinsic decoherence of the molecular energy surface
can gradually deteriorate a repulsive dimer state, causing a mixing of
attractive and repulsive character. For sufficiently strong decoherence, a
Zeno-like effect causes a complete arrest of interatomic forces. We finally
show how short decohering pulses can controllably redistribute population
between the different molecular energy surfaces.


title:
Cross-diffusion systems with non-zero-flux boundary conditions on a
  moving domain

abstract:
  We propose and analyze a one-dimensional multi-species cross-diffusion system
with non-zero-flux boundary conditions on a moving domain, motivated by the
mod- eling of a Physical Vapor Deposition process. Using the boundedness by
entropy method, we prove the existence of a global weak solution to the
obtained system. In addition, existence of a solution to an optimal control
problem defined on the fluxes is established under the assumption that the
solution to the considered cross-diffusion system is unique. Lastly, we prove
that in the case when the imposed external fluxes are constant and positive and
the entropy density is defined as a classical logarithmic entropy, the
concentrations of the dif- ferent species converge in the long-time limit to
constant profiles at a rate inversely proportional to time. These theoretical
results are illustrated by numerical tests.


title: Multilinear Hirota operators and integrability

abstract:
  We consider multilinear generalization of the Hirota derivative, which serves
as a building block for integrable solitonic hierarchies. 2 special integrable
mutlilinear equations are shown to be splittable into pairs of bilinear
operators, parametrized by the additional variable. This fact is a signature of
a higher (B)KP reductions.


title: 3D Menagerie: Modeling the 3D shape and pose of animals

abstract:
  There has been significant work on learning realistic, articulated, 3D models
of the human body. In contrast, there are few such models of animals, despite
many applications. The main challenge is that animals are much less cooperative
than humans. The best human body models are learned from thousands of 3D scans
of people in specific poses, which is infeasible with live animals.
Consequently, we learn our model from a small set of 3D scans of toy figurines
in arbitrary poses. We employ a novel part-based shape model to compute an
initial registration to the scans. We then normalize their pose, learn a
statistical shape model, and refine the registrations and the model together.
In this way, we accurately align animal scans from different quadruped families
with very different shapes and poses. With the registration to a common
template we learn a shape space representing animals including lions, cats,
dogs, horses, cows and hippos. Animal shapes can be sampled from the model,
posed, animated, and fit to data. We demonstrate generalization by fitting it
to images of real animals including species not seen in training.


title: Simultaneous Feedback Edge Set: A Parameterized Perspective

abstract:
  In this paper we consider Simultaneous Feedback Edge Set (Sim-FES) problem.
In this problem, the input is an $n$-vertex graph $G$, an integer $k$ and a
coloring function ${\sf col}: E(G) \rightarrow 2^{[\alpha]}$ and the objective
is to check whether there is an edge subset $S$ of cardinality at most $k$ in
$G$ such that for all $i \in [\alpha]$, $G_i - S$ is acyclic. Here, $G_i=(V(G),
\{e\in E(G) \mid i \in {\sf col}(e)\})$ and $[\alpha]=\{1,\ldots,\alpha\}$.
When $\alpha =1$, the problem is polynomial time solvable. We show that for
$\alpha =3$ Sim-FES is NP-hard by giving a reduction from Vertex Cover on cubic
graphs. The same reduction shows that the problem does not admit an algorithm
of running time $O(2^{o(k)}n^{O(1)})$ unless ETH fails. This hardness result is
complimented by an FPT algorithm for Sim-FES running in time $O(2^{\omega
k\alpha+\alpha \log k} n^{O(1)})$, where $\omega$ is the exponent in the
running time of matrix multiplication. The same algorithm gives a polynomial
time algorithm for the case when $\alpha =2$. We also give a kernel for Sim-FES
with $(k\alpha)^{O(\alpha)}$ vertices. Finally, we consider the problem Maximum
Simultaneous Acyclic Subgraph. Here, the input is a graph $G$, an integer $q$
and, a coloring function ${\sf col}: E(G) \rightarrow 2^{[\alpha]}$. The
question is whether there is a edge subset $F$ of cardinality at least $q$ in
$G$ such that for all $i\in [\alpha]$, $G[F_i]$ is acyclic. Here, $F_i=\{e \in
F \mid i \in \textsf{col}(e)\}$. We give an FPT algorithm for running in time
$O(2^{\omega q \alpha}n^{O(1)})$.


title:
Timing Attack Resilient Decoding Algorithms for Physical Unclonable
  Functions

abstract:
  This paper deals with the application of list decoding of Reed--Solomon codes
to a concatenated code for key reproduction using Physical Unclonable
Functions. The resulting codes achieve a higher error-correction performance at
the same code rate than known schemes in this scenario. We also show that their
decoding algorithms can be protected from side-channel attacks on the runtime
both by masking techniques and by directly modifying the algorithms to have
constant runtime.


title:
'Part'ly first among equals: Semantic part-based benchmarking for
  state-of-the-art object recognition systems

abstract:
  An examination of object recognition challenge leaderboards (ILSVRC,
PASCAL-VOC) reveals that the top-performing classifiers typically exhibit small
differences amongst themselves in terms of error rate/mAP. To better
differentiate the top performers, additional criteria are required. Moreover,
the (test) images, on which the performance scores are based, predominantly
contain fully visible objects. Therefore, `harder' test images, mimicking the
challenging conditions (e.g. occlusion) in which humans routinely recognize
objects, need to be utilized for benchmarking. To address the concerns
mentioned above, we make two contributions. First, we systematically vary the
level of local object-part content, global detail and spatial context in images
from PASCAL VOC 2010 to create a new benchmarking dataset dubbed PPSS-12.
Second, we propose an object-part based benchmarking procedure which quantifies
classifiers' robustness to a range of visibility and contextual settings. The
benchmarking procedure relies on a semantic similarity measure that naturally
addresses potential semantic granularity differences between the category
labels in training and test datasets, thus eliminating manual mapping. We use
our procedure on the PPSS-12 dataset to benchmark top-performing classifiers
trained on the ILSVRC-2012 dataset. Our results show that the proposed
benchmarking procedure enables additional differentiation among
state-of-the-art object classifiers in terms of their ability to handle missing
content and insufficient object detail. Given this capability for additional
differentiation, our approach can potentially supplement existing benchmarking
procedures used in object recognition challenge leaderboards.


title: Search for decays of neutral beauty mesons into four muons

abstract:
  A search for the non-resonant decays $B^0_s \rightarrow
\mu^{+}\mu^{-}\mu^{+}\mu^{-}$ and $B^0 \rightarrow
\mu^{+}\mu^{-}\mu^{+}\mu^{-}$ is presented. The measurement is performed using
the full Run 1 data set collected in proton-proton collisions by the LHCb
experiment at the LHC. The data correspond to integrated luminosities of $1$
and $2~\mathrm{fb}^{-1}$ collected at centre-of-mass energies of $7$ and
$8~\mathrm{TeV}$, respectively. No signal is observed and upper limits on the
branching fractions of the non-resonant decays at $95\%$ confidence level are
determined to be
  \mathcal{B}(B^0_s \rightarrow \mu^{+}\mu^{-}\mu^{+}\mu^{-}) & < 2.5 \times
10^{-9}
  \mathcal{B}(B^0 \rightarrow \mu^{+}\mu^{-}\mu^{+}\mu^{-}) & < 6.9 \times
10^{-10}.


title: Coffee-stain growth dynamics on dry and wet surfaces

abstract:
  The drying of a drop containing particles often results in the accumulation
of the particles at the contact line. In this work, we investigate the drying
of an aqueous colloidal drop surrounded by a hydrogel that is also evaporating.
We combine theoretical and experimental studies to understand how the
surrounding vapor concentration affects the particle deposit during the
constant radius evaporation mode. In addition to the common case of evaporation
on an otherwise dry surface, we show that in a configuration where liquid is
evaporating from a flat surface around the drop, the singularity of the
evaporative flux at the contact line is suppressed and the drop evaporation is
homogeneous. For both conditions, we derive the velocity field and we establish
the temporal evolution of the number of particles accumulated at the contact
line. We predict the growth dynamics of the stain and the drying timescales.
Thus, dry and wet conditions are compared with experimental results and we
highlight that only the dynamics is modified by the evaporation conditions, not
the final accumulation at the contact line.


title: Heat Production of Non-Interacting Fermions Subjected to Electric Fields

abstract:
  Electric resistance in conducting media is related to heat (or entropy)
production in presence of electric fields. In this paper, by using Araki's
relative entropy for states, we mathematically define and analyze the heat
production of free fermions within external potentials. More precisely, we
investigate the heat production of the non-autonomous C*-dynamical system
obtained from the fermionic second quantization of a discrete Schr\"odinger
operator with bounded static potential in presence of an electric field that is
time- and space-dependent. It is a first preliminary step towards a
mathematical description of transport properties of fermions from thermal
considerations. This program will be carried out in several papers. The regime
of small and slowly varying in space electric fields is important in this
context, and is studied the present paper. We use tree-decay bounds of the
$n$-point, $n\in 2\mathbb{N}$, correlations of the many-fermion system to
analyze this regime. We verify below the 1st law of thermodynamics for the
system under consideration. The latter implies, for systems doing no work, that
the heat produced by the electromagnetic field is exactly the increase of the
internal energy resulting from the modification of the (infinite volume) state
of the fermion system. The identification of heat production with an energy
increment is, among other things, technically convenient. We initially focus
our study on non-interacting (or free) fermions, but our approach will be later
applied to weakly interacting fermions.


title: A minimal model of dynamical phase transition

abstract:
  We calculate the large deviation functions characterizing the long-time
fluctuations of the occupation of drifted Brownian motion and show that these
functions have non-analytic points. This provides the first example of
dynamical phase transition that appears in a simple, homogeneous Markov process
without an additional low-noise, large-volume or hydrodynamic scaling limit.


title:
A robust optimal control problem with moment constraints on
  distribution: theoretical analysis and an algorithm

abstract:
  We study an optimal control problem in which both the objective function and
the dynamic constraint contain an uncertain parameter. Since the distribution
of this uncertain parameter is not exactly known, the objective function is
taken as the worst-case expectation over a set of possible distributions of the
uncertain parameter. This ambiguity set of distributions is, in turn, defined
by the first two moments of the random variables involved. The optimal control
is found by minimizing the worst-case expectation over all possible
distributions in this set. If the distributions are discrete, the stochastic
min-max optimal control problem can be converted into a convensional optimal
control problem via duality, which is then approximated as a finite-dimensional
optimization problem via the control parametrization. We derive necessary
conditions of optimality and propose an algorithm to solve the approximation
optimization problem. The results of discrete probability distribution are then
extended to the case with one dimensional continuous stochastic variable by
applying the control parametrization methodology on the continuous stochastic
variable, and the convergence results are derived. A numerical example is
present to illustrate the potential application of the proposed model and the
effectiveness of the algorithm.


title: Fully Convolutional Instance-aware Semantic Segmentation

abstract:
  We present the first fully convolutional end-to-end solution for
instance-aware semantic segmentation task. It inherits all the merits of FCNs
for semantic segmentation and instance mask proposal. It performs instance mask
prediction and classification jointly. The underlying convolutional
representation is fully shared between the two sub-tasks, as well as between
all regions of interest. The proposed network is highly integrated and achieves
state-of-the-art performance in both accuracy and efficiency. It wins the COCO
2016 segmentation competition by a large margin. Code would be released at
\url{https://github.com/daijifeng001/TA-FCN}.


title:
Spatio-Temporal Modeling of Users' Check-ins in Location-Based Social
  Networks

abstract:
  Social networks are getting closer to our real physical world. People share
the exact location and time of their check-ins and are influenced by their
friends. Modeling the spatio-temporal behavior of users in social networks is
of great importance for predicting the future behavior of users, controlling
the users' movements, and finding the latent influence network. It is observed
that users have periodic patterns in their movements. Also, they are influenced
by the locations that their close friends recently visited. Leveraging these
two observations, we propose a probabilistic model based on a doubly stochastic
point process with a periodic decaying kernel for the time of check-ins and a
time-varying multinomial distribution for the location of check-ins of users in
the location-based social networks. We learn the model parameters using an
efficient EM algorithm, which distributes over the users. Experiments on
synthetic and real data gathered from Foursquare show that the proposed
inference algorithm learns the parameters efficiently and our model outperforms
the other alternatives in the prediction of time and location of check-ins.


title: Worm-like instability of a vibrated sessile drop

abstract:
  We study the effects of vertical sinusoidal vibrations on a liquid droplet
with a low surface tension (ethanol) deposited on a solid substrate. In a
precise range of amplitudes and frequencies, the drop exhibits a dramatic
worm-like shape instability with a strong symmetry breaking, comparable to the
one observed by Pucci et al. (Phys. Rev. Lett., 106 (2011) 024503) on a
vibrated floating lens. However, the geometry of our system is much simpler
since it does not involve the oscillation and deformation of a
liquid-liquid-air contact line. We show that the Faraday waves appearing on the
surface of the droplet control its shape and we draw a systematic phase diagram
of the instability. A simple theoretical model allows us to derive a relation
between the elongation of the droplet and the amplitude of the Faraday wave, in
good agreement with measurements of both quantities.


title: Pearson information-based lower bound on Fisher information

abstract:
  The Fisher information matrix (FIM) plays an important role in the analysis
of parameter inference and system design problems. In a number of cases,
however, the statistical data distribution and its associated information
matrix are either unknown or intractable. For this reason, it is of interest to
develop useful lower bounds on the FIM. In this lecture note, we derive such a
bound based on moment constraints. We call this bound the Pearson information
matrix (PIM) and relate it to properties of a misspecified data distribution.
Finally, we show that the inverse PIM coincides with the asymptotic covariance
matrix of the optimally weighted generalized method of moments.


title:
An Exponential Diophantine Equation - One Order Higher than Fermat's
  Equation

abstract:
  We formulate an exponential Diophantine equation, which is is some sense one
order higher that Fermat's Last Theorem. We also give three examples of
solutions to this exponential Diophantine equation and formulate a conjecture.


title: Key-Lock Colloids in a Nematic Liquid Crystal

abstract:
  The Landau-de Gennes free energy is used to study theoretically the effective
interaction of a spherical "key" and an anisotropic "lock" colloidal particles.
We assume identical anchoring properties of the surfaces of the key and of the
lock particles, and consider planar degenerate and perpendicular anchoring
conditions separately. {The lock particle is modeled} as a spherical particle
with a spherical dimple. When such a particle is introduced into a nematic
liquid crystal, it orients its dimple at an oblique angle $\theta_{eq}$ with
respect to the far field director ${\bf n}_{\infty}$. This angle depends on the
depth of the dimple. Minimization results show that the free energy of a pair
of key and lock particles exhibits a global minimum for the configuration when
the key particle is facing the dimple of the lock colloidal particle. The
preferred orientation $\phi_{eq}$ of the key-lock composite doublet relative to
${\bf n}_{\infty}$ is robust against thermal fluctuations. The preferred
orientation $\theta_{eq}^{(2)}$ of the dimple particle in the doublet is
different from the isolated situation. {This is related to the "direct"
interaction of defects accompanying the key particle with the edge of the
dimple}. We propose that this nematic-amplified key-lock interaction can play
an important role in self-organization and clustering of mixtures of colloidal
particles with dimple colloids present.


title: Deep Feature Flow for Video Recognition

abstract:
  Deep convolutional neutral networks have achieved great success on image
recognition tasks. Yet, it is non-trivial to transfer the state-of-the-art
image recognition networks to videos as per-frame evaluation is too slow and
unaffordable. We present deep feature flow, a fast and accurate framework for
video recognition. It runs the expensive convolutional sub-network only on
sparse key frames and propagates their deep feature maps to other frames via a
flow field. It achieves significant speedup as flow computation is relatively
fast. The end-to-end training of the whole architecture significantly boosts
the recognition accuracy. Deep feature flow is flexible and general. It is
validated on two recent large scale video datasets. It makes a large step
towards practical video recognition.


title:
On the locality of arb-invariant first-order formulas with modulo
  counting quantifiers

abstract:
  We study Gaifman locality and Hanf locality of an extension of first-order
logic with modulo p counting quantifiers (FO+MOD_p, for short) with arbitrary
numerical predicates. We require that the validity of formulas is independent
of the particular interpretation of the numerical predicates and refer to such
formulas as arb-invariant formulas. This paper gives a detailed picture of
locality and non-locality properties of arb-invariant FO+MOD_p. For example, on
the class of all finite structures, for any p >= 2, arb-invariant FO+MOD_p is
neither Hanf nor Gaifman local with respect to a sublinear locality radius.
However, in case that p is an odd prime power, it is weakly Gaifman local with
a polylogarithmic locality radius. And when restricting attention to the class
of string structures, for odd prime powers p, arb-invariant FO+MOD_p is both
Hanf and Gaifman local with a polylogarithmic locality radius. Our negative
results build on examples of order-invariant FO+MOD_p formulas presented in
Niemist\"o's PhD thesis. Our positive results make use of the close connection
between FO+MOD_p and Boolean circuits built from NOT-gates and AND-, OR-, and
MOD_p- gates of arbitrary fan-in.


title:
Thermal shift of the resonance between an electron gas and quantum dots:
  What is the origin?

abstract:
  The operation of quantum dots at highest possible temperatures is desirable
for many applications. Capacitance-voltage spectroscopy (C(V)-spectroscopy)
measurements are an established instrument to analyze the electronic structure
and energy levels of self-assembled quantum dots (QDs). We perform C(V) in the
dark and C(V) under the influence of non-resonant illumination, probing exciton
states up to $X^{4+}$ on InAs QDs embedded in a GaAs matrix for temperatures
ranging from 2.5 K to 120 K. While a small shift in the charging spectra
resonance is observed for the two pure spin degenerate electron s-state
charging voltages with increasing temperature, a huge shift is visible for the
electron-hole excitonic states resonance voltages. The $s_2$-peak moves to
slightly higher, the $s_1$-peak to slightly lower charging voltages. In
contrast, the excitonic states are surprisingly charged at much lower voltages
upon increasing temperature. We derive a rate-model allowing to attribute and
value different contributions to these shifts. Resonant tunnelling, state
degeneracy and hole generation rate in combination with the Fermi distribution
function turn out to be of great importance for the observed effects. The
differences in the shifting behavior is connected to different equilibria
schemes for the peaks; s-peaks arise when tunneling-in- and out-rates become
equal, while excitonic peaks occur, when electron tunneling-in- and
hole-generation rates are balanced.


title: Deep Convolutional Neural Networks with Merge-and-Run Mappings

abstract:
  A deep residual network, built by stacking a sequence of residual blocks, is
easy to train, because identity mappings skip residual branches and thus
improve information flow. To further reduce the training difficulty, we present
a simple network architecture, deep merge-and-run neural networks. The novelty
lies in a modularized building block, merge-and-run block, which assembles
residual branches in parallel through a merge-and-run mapping: Average the
inputs of these residual branches (Merge), and add the average to the output of
each residual branch as the input of the subsequent residual branch (Run),
respectively. We show that the merge-and-run mapping is a linear idempotent
function in which the transformation matrix is idempotent, and thus improves
information flow, making training easy. In comparison to residual networks, our
networks enjoy compelling advantages: they contain much shorter paths, and the
width, i.e., the number of channels, is increased. We evaluate the performance
on the standard recognition tasks. Our approach demonstrates consistent
improvements over ResNets with the comparable setup, and achieves competitive
results (e.g., $3.57\%$ testing error on CIFAR-$10$, $19.00\%$ on CIFAR-$100$,
$1.51\%$ on SVHN).


title:
Variational calculation of transport coefficients in diffusive lattice
  gases

abstract:
  A diffusive lattice gas is characterized by the diffusion coefficient
depending only on the density. The Green-Kubo formula for diffusivity can be
represented as a variational formula, but even when the equilibrium properties
of a lattice gas are analytically known the diffusion coefficient can be
computed only in the exceptional situation when the lattice gas is gradient. In
the general case, minimization over an infinite-dimensional space is required.
We propose an approximation scheme based on minimizing over finite-dimensional
subspaces of functions. The procedure is demonstrated for one-dimensional
generalized exclusion processes in which each site can accommodate at most two
particles. Our analytical predictions provide upper bounds for the diffusivity
that are very close to simulation results throughout the entire density range.
We also analyze non-equilibrium density profiles for finite chains coupled to
reservoirs. The predictions for the profiles are in excellent agreement with
simulations.

categories: cond-mat.stat-mech math-ph math.MP math.PR nlin.CG


title:
Random laser action with coherent feedback via second-harmonic
  generation

abstract:
  The random laser action with coherent feedback by second-harmonic generation
(SHG) was experimentally demonstrated in this paper. Compared with the
conventional random laser action based on photoluminescence effect, which needs
strong photoresponse in the active medium and has a fixed response waveband due
to the inherent energy level structure of the material, this random SHG laser
action indicates a possible confinement of the nonlinear signal with ring
cavities and widens the response waveband due to the flexible frequency
conversion in nonlinear process. The combination of coherent random laser and
nonlinear optics will provide us another possible way to break phase-matching
limitations, with fiber or feedback-based wavefront shaping method to transmit
the emission signal directionally. This work suggests potential applications in
band-tunable random laser, phase-matching-free nonlinear optics and even brings
in new consideration about random nonlinear optics (RNO).


title:
Ion pairing controls rheological properties of "processionary"
  polyelectrolyte hydrogels

abstract:
  We demonstrated recently that polyelectrolytes with cationic moieties along
the chain and a single anionic head are able to form physical hydrogels due to
the reversible nature of the head-to-body ionic bond. Here we generate a
variety of such polyelectrolytes with various cationic moieties and counterion
combinations starting from a common polymeric platform. We show that the
rheological properties (shear modulus, critical strain) of the final hydrogels
can be modulated over three orders of magnitude depending on the cation/anion
pair. Our data fit remarkably well within a scaling model involving a
supramolecular head-to-tail single file between cross-links, akin to the
behaviour of pine-processionary caterpillar. This model allows the quantitative
measure of the amount of counterion condensation from standard rheology
procedure.


title: A Survey on Privacy-preserving Schemes for Smart Grid Communications

abstract:
  In this paper, we present a comprehensive survey of privacy-preserving
schemes for Smart Grid communications. Specifically, we select and in-detail
examine thirty privacy preserving schemes developed for or applied in the
context of Smart Grids. Based on the communication and system models, we
classify these schemes that are published between 2013 and 2016, in five
categories, including, 1) Smart grid with the advanced metering infrastructure,
2) Data aggregation communications, 3) Smart grid marketing architecture, 4)
Smart community of home gateways, and 5) Vehicle-to grid architecture. For each
scheme, we survey the attacks of leaking privacy, countermeasures, and game
theoretic approaches. In addition, we review the survey articles published in
the recent years that deal with Smart Grids communications, applications,
standardization, and security. Based on the current survey, several
recommendations for further research are discussed at the end of this paper.


title: Follow-up of isolated neutron star candidates from the eROSITA survey

abstract:
  Peculiar groups of X-ray emitting isolated neutron stars, which include
magnetars, the "Magnificent Seven", and central compact objects in supernova
remnants, escape detection in standard pulsar surveys. Yet, they constitute a
key element in understanding the neutron star evolution and phenomenology.
Their use in population studies in the galactic scale has been hindered by the
scarcity of their detection. The all-sky survey of eROSITA on-board the
forthcoming Spectrum-RG mission has the unique potential to unveil the X-ray
faint part of the population and constrain evolutionary models. To create a
forecast for the four-year all-sky survey, we perform Monte Carlo simulations
of a population synthesis model, where we follow the evolutionary tracks of
thermally emitting neutron stars in the Milky Way and test their detectability.
In this work, we discuss strategies for pinpointing the most promising
candidates for follow-up observing campaigns using current and future
facilities.


title: Knapsack Problems: A Parameterized Point of View

abstract:
  The knapsack problem (KP) is a very famous NP-hard problem in combinatorial
optimization. Also its generalization to multiple dimensions named
d-dimensional knapsack problem (d-KP) and to multiple knapsacks named multiple
knapsack problem (MKP) are well known problems. Since KP, d-KP, and MKP are
integer-valued problems defined on inputs of various informations, we study the
fixed-parameter tractability of these problems. The idea behind fixed-parameter
tractability is to split the complexity into two parts - one part that depends
purely on the size of the input, and one part that depends on some parameter of
the problem that tends to be small in practice. Further we consider the closely
related question, whether the sizes and the values can be reduced, such that
their bit-length is bounded polynomially or even constantly in a given
parameter, i.e. the existence of kernelizations is studied. We discuss the
following parameters: the number of items, the threshold value for the profit,
the sizes, the profits, the number d of dimensions, and the number m of
knapsacks. We also consider the connection of parameterized knapsack problems
to linear programming, approximation, and pseudo-polynomial algorithms.


title: iCaRL: Incremental Classifier and Representation Learning

abstract:
  A major open problem on the road to artificial intelligence is the
development of incrementally learning systems that learn about more and more
concepts over time from a stream of data. In this work, we introduce a new
training strategy, iCaRL, that allows learning in such a class-incremental way:
only the training data for a small number of classes has to be present at the
same time and new classes can be added progressively. iCaRL learns strong
classifiers and a data representation simultaneously. This distinguishes it
from earlier works that were fundamentally limited to fixed data
representations and therefore incompatible with deep learning architectures. We
show by experiments on CIFAR-100 and ImageNet ILSVRC 2012 data that iCaRL can
learn many classes incrementally over a long period of time where other
strategies quickly fail.


title: Polynomial invariants by linear algebra

abstract:
  We present in this paper a new technique for generating polynomial
invariants, divided in two independent parts : a procedure that reduces
polynomial assignments composed loops analysis to linear loops under certain
hypotheses and a procedure for generating inductive invariants for linear
loops. Both of these techniques have a polynomial complexity for a bounded
number of variables and we guarantee the completeness of the technique for a
bounded degree which we successfully implemented for C programs verification.


title: PoseTrack: Joint Multi-Person Pose Estimation and Tracking

abstract:
  In this work, we introduce the challenging problem of joint multi-person pose
estimation and tracking of an unknown number of persons in unconstrained
videos. Existing methods for multi-person pose estimation in images cannot be
applied directly to this problem, since it also requires to solve the problem
of person association over time in addition to the pose estimation for each
person. We therefore propose a novel method that jointly models multi-person
pose estimation and tracking in a single formulation. To this end, we represent
body joint detections in a video by a spatio-temporal graph and solve an
integer linear program to partition the graph into sub-graphs that correspond
to plausible body pose trajectories for each person. The proposed approach
implicitly handles occlusion and truncation of persons. Since the problem has
not been addressed quantitatively in the literature, we introduce a challenging
"Multi-Person PoseTrack" dataset, and also propose a completely unconstrained
evaluation protocol that does not make any assumptions about the scale, size,
location or the number of persons. Finally, we evaluate the proposed approach
and several baseline methods on our new dataset.


title:
Lyapunov exponents of the Hodge bundle over strata of quadratic
  differentials with large number of poles

abstract:
  We show an upper bound for the sum of positive Lyapunov exponents of any
Teichm\"uller curve in strata of quadratic differentials with at least one zero
of large multiplicity. As a corollary, it holds for any $SL(2,\mathbb
R)$-invariant subspaces defined over $\mathbb Q$ in these strata. This proves
Grivaux-Hubert's conjecture about the asymptotics of Lyapunov exponents for
strata with a large number of poles in the situation when at least one zero has
large multiplicity.


title:
Separation of $e^+e^-\to e^+e^-$ and $e^+e^-\to\pi^+\pi^-$ events using
  SND detector calorimeter

abstract:
  The technique of discrimination of the $e^+e^-\to e^+e^-$ and $e^+e^-\to
\pi^+\pi^-$ events in energy range $0.5 < \sqrt{s} < 1$ GeV by energy
deposition in the calorimeter of SND detector was developed by applying machine
learning method. Identification efficiency for $e^+e^-\to e^+e^-$ and
$e^+e^-\to \pi^+\pi^-$ events in the range from 99.3 to 99.8 % has been
achived.


title:
Microscopic Conductivity of Lattice Fermions at Equilibrium - Part I:
  Non-Interacting Particles

abstract:
  We consider free lattice fermions subjected to a static bounded potential and
a time- and space-dependent electric field. For any bounded convex region
$\mathcal{R}\subset \mathbb{R}^{d}$ ($d\geq 1$) of space, electric fields
$\mathcal{E}$ within $\mathcal{R}$ drive currents. At leading order, uniformly
with respect to the volume $\left| \mathcal{R}\right| $ of $\mathcal{R}$ and
the particular choice of the static potential, the dependency on $\mathcal{E}$
of the current is linear and described by a conductivity distribution. Because
of the positivity of the heat production, the real part of its Fourier
transform is a positive measure, named here (microscopic) conductivity measure
of $\mathcal{R}$, in accordance with Ohm's law in Fourier space. This finite
measure is the Fourier transform of a time-correlation function of current
fluctuations, i.e., the conductivity distribution satisfies Green-Kubo
relations. We additionally show that this measure can also be seen as the
boundary value of the Laplace-Fourier transform of a so-called quantum current
viscosity. The real and imaginary parts of conductivity distributions satisfy
Kramers-Kronig relations. At leading order, uniformly with respect to
parameters, the heat production is the classical work performed by electric
fields on the system in presence of currents. The conductivity measure is
uniformly bounded with respect to parameters of the system and it is never the
trivial measure $0\,\mathrm{d}\nu $. Therefore, electric fields generally
produce heat in such systems. In fact, the conductivity measure defines a
quadratic form in the space of Schwartz functions, the Legendre-Fenchel
transform of which describes the resistivity of the system. This leads to
Joule's law, i.e., the heat produced by currents is proportional to the
resistivity and the square of currents.


title:
Dynamical equations and transport coefficients for the metals at high
  pulse electromagnetic fields

abstract:
  We offer a metal model suitable for the description of fast electrophysical
processes in conductors under influence of powerful electronic and laser
radiation of femto- and picosecond duration, and also high-voltage
electromagnetic pulses with picosecond front and duration less than 1 ns. The
obtained dynamic equations for metal in approximation of one quasineutral
liquid are in agreement with the equations received by other authors formerly.
New wide-range expressions for the electronic conduction in strong
electromagnetic fields are obtained and analyzed.


title: Multilevel Monte-Carlo for measure valued solutions

abstract:
  We propose a Multilevel Monte-Carlo (MLMC) method for computing entropy
measure valued solutions of hyperbolic conservation laws. Sharp bounds for the
narrow convergence of MLMC for the entropy measure valued solutions are
proposed. An optimal work-vs-error bound for the MLMC method is derived
assuming only an abstract decay criterion on the variance. Finally, we display
numerical experiments of cases where MLMC is, and is not, efficient when
compared to Monte-Carlo.


title:
The DOHA algorithm: a new recipe for cotrending large-scale transiting
  exoplanet survey light curves

abstract:
  We present DOHA, a new algorithm for cotrending photometric light curves
obtained by transiting exoplanet surveys. The algorithm employs a novel
approach to the traditional "differential photometry" technique, by selecting
the most suitable comparison star for each target light curve, using a two-step
correlation search. Extensive tests on real data reveal that DOHA corrects both
intra-night variations and long-term systematics affecting the data.
Statistical studies conducted on a sample of 9500 light curves from the Qatar
Exoplanet Survey reveal that DOHA-corrected light curves show an RMS
improvement of a factor of 2, compared to the raw light curves. In addition, we
show that the transit detection probability in our sample can increase
considerably, even up to a factor of 7, after applying DOHA.


title:
Sharp estimates for the Szeg\H{o} projection on the distinguished
  boundary of model worm domains

abstract:
  In this paper we study the regularity of the Szeg\H{o} projection on Lebesgue
and Sobolev spaces on the distinguished boundary of the unbounded model worm
domain $D_\beta$.
  We denote by $d_b(D_\beta)$ the distinguished boundary of $D_\beta$ and
define the corresponding Hardy space $\mathscr{H}^2(D_\beta)$. This can be
identified with a closed subspace of $L^2(d_b(D_\beta),d\sigma)$, that we
denote by $\mathscr{H}^2(d_b(D_\beta))$, where $d\sigma$ is the naturally
induced measure on $d_b(D_\beta)$.
  The orthogonal Hilbert space projection $\mathscr{P}:
L^2(d_b(D_\beta),d\sigma)\to \mathscr{H}^2(d_b(D_\beta))$ is called the
Szeg\H{o} projection on the distinguished boundary.
  We prove that $\mathscr{P}$, initially defined on the dense subspace
$L^2(d_b( D_\beta),d\sigma)\cap L^p(d_b(D_\beta), d\sigma)$ extends to a
bounded operator $\mathscr{P}: L^p(d_b(D_\beta), d\sigma)\to L^p(d_b(D_\beta),
d\sigma)$ if and only if
$\textstyle{\frac{2}{1+\nu_\beta}}<p<\textstyle{\frac{2}{1-\nu_\beta}}$ where
$\nu_\beta=\textstyle{\frac{\pi}{2\beta-\pi}},\beta>\pi$. Furthermore, we also
prove that $\mathscr{P}$ defines a bounded operator $\mathscr{P}:
W^{s,2}(d_b(D_\beta),d\sigma)\to W^{s,2}(d_b(D_\beta), d\sigma)$ if and only if
$0\leq s<\textstyle{\frac{\nu_\beta}{2}}$ where $W^{s.2}(d_b( D_\beta),
d\sigma)$ denotes the Sobolev space of order $s$ and underlying $L^2$-norm.
  Finally, we prove a necessary condition for the boundedness of $\mathscr{P}$
on $W^{s,p}(d_b(D_\beta), d\sigma)$, $p\in(1,\infty)$, the Sobolev space of
order $s$ and underlying $L^p$-norm.


title: On the Chow Ring of the Classifying Space of some Chevalley Groups

abstract:
  Let $p$ be a prime and $q$ be a power of $p$. We compute the Chow ring of the
classifying space of some Chevalley groups $G(\mathbb{F}_q)$, when considered
as a finite algebraic group over a field of characteristic $p$ containing
$\mathbb{F}_q$. Using specialization from characteristic $0$ to characteristic
$p$ we also obtain results over the complex numbers.


title:
Strain in epitaxial MnSi films on Si(111) in the thick film limit
  studied by polarization-dependent extended x-ray absorption fine structure

abstract:
  We report a study of the strain state of epitaxial MnSi films on Si(111)
substrates in the thick film limit (100-500~\AA) as a function of film
thickness using polarization-dependent extended x-ray absorption fine structure
(EXAFS). All films investigated are phase-pure and of high quality with a sharp
interface between MnSi and Si. The investigated MnSi films are in a thickness
regime where the magnetic transition temperature $T_\mathrm{c}$ assumes a
thickness-independent enhanced value of $\geq$43~K as compared with that of
bulk MnSi, where $T_\mathrm{c} \approx 29~{\rm K}$. A detailed refinement of
the EXAFS data reveals that the Mn positions are unchanged, whereas the Si
positions vary along the out-of-plane [111]-direction, alternating in
orientation from unit cell to unit cell. Thus, for thick MnSi films, the unit
cell volume is essentially that of bulk MnSi --- except in the vicinity of the
interface with the Si substrate (thin film limit). In view of the enhanced
magnetic transition temperature we conclude that the mere presence of the
interface, and its specific characteristics, strongly affects the magnetic
properties of the entire MnSi film, even far from the interface. Our analysis
provides invaluable information about the local strain at the MnSi/Si(111)
interface. The presented methodology of polarization dependent EXAFS can also
be employed to investigate the local structure of other interesting interfaces.


title: Quantum non-Gaussianity from a large ensemble of single photon emitters

abstract:
  Quantum attributes of light have been related to non-classicality so far, i.
e. to incompatibility with mixtures of coherent states. The progress in quantum
optics indicates that this feature does not suffice to witness exotic behavior
of light. Contrary, quantum non-Gaussianity is starting to appear as a
promising and applicable property reflecting interesting states of light that
are suitable for quantum protocols. We investigate a newly introduced hierarchy
of criteria of quantum non-Gaussianity and predict this attribute can be
observed on light emitted from many single photon emitters, even if the light
undergoes realistic optical losses. It contrasts negativity of Wigner function,
that is unreachable in experimental platforms with losses above fifty percent.