title:
Simulation of Stimulated Brillouin Scattering and Stimulated Raman
  Scattering In Shock Ignition

abstract:
  We study stimulated Brillouin scattering (SBS) and stimulated Raman
scattering (SRS) in shock ignition by comparing fluid and PIC simulations.
Under typical parameters for the OMEGA experiments [Theobald \emph{et al}.,
Phys. Plasmas \textbf{19}, 102706 (2012)], a series of 1D fluid simulations
with laser intensities ranging between 2$\times$10$^{15}$ and
2$\times$10$^{16}$ W/cm$^2$ finds that SBS is the dominant instability, which
increases significantly with the incident intensity. Strong pump depletion
caused by SBS and SRS limits the transmitted intensity at the 0.17n$_c$ to be
less than 3.5$\times$10$^{15}$ W/cm$^2$. The PIC simulations show similar
physics but with higher saturation levels for SBS and SRS convective modes and
stronger pump depletion due to higher seed levels for the electromagnetic
fields in PIC codes. Plasma flow profiles are found to be important in proper
modeling of SBS and limiting its reflectivity in both the fluid and PIC
simulations.


title: Iterative Scaling Algorithm for Channels

abstract:
  Here we define a procedure for evaluating KL-projections (I- and
rI-projections) of channels. These can be useful in the decomposition of mutual
information between input and outputs, e.g. to quantify synergies and
interactions of different orders, as well as information integration and other
related measures of complexity.
  The algorithm is a generalization of the standard iterative scaling
algorithm, which we here extend from probability distributions to channels
(also known as transition kernels).


title: Dark states in quantum photosynthesis

abstract:
  We discuss a model of quantum photosynthesis with degeneracy in the
light-harvesting system. We consider interaction of excitons in chromophores
with light and phonons (vibrations of environment). These interactions have
dipole form but are different (are related to non-parallel vectors of "bright"
states). We show that this leads to excitation of non-decaying "dark" states.
We discuss relation of this model to the known from spectroscopical experiments
phenomenon of existence of photonic echo in quantum photosynthesis.


title:
Locations of Accretion Shocks around Galaxy Clusters and the ICM
  properties: insights from Self-Similar Spherical Collapse with arbitrary mass
  accretion rates

abstract:
  Accretion shocks around galaxy clusters mark the position where the infalling
diffuse gas is significantly slowed down, heated up, and becomes a part of the
intracluster medium (ICM). They play an important role in setting the ICM
properties. Hydrodynamical simulations have found an intriguing result that the
radial position of this accretion shock tracks closely the position of the
`splashback radius' of the dark matter, despite the very different physical
processes that gas and dark matter experience. Using the self-similar spherical
collapse model for dark matter and gas, we find that an alignment between the
two radii happens only for a gas with an adiabatic index of $\gamma \approx
5/3$ and for clusters with moderate mass accretion rates. In addition, we find
that some observed ICM properties, such as the entropy slope and the effective
polytropic index lying around $\sim 1.1-1.2$, are captured by the self-similar
spherical collapse model, and are insensitive to the mass accretion history.


title:
Simultaneous investigation of shear modulus and torsional resonance of
  solid 4He

abstract:
  We investigate the origin of a resonant period drop of a torsional oscillator
(TO) containing solid ${}^{4}$He by inspecting its relation to a change in
elastic modulus. To understand this relationship directly, we measure both
phenomena simultaneously using a TO with a pair of concentric piezoelectric
transducers inserted in its annulus. Although the temperature, ${}^{3}$He
concentration, and frequency dependence are essentially the same, a marked
discrepancy in the drive amplitude dependence is observed. We find that this
discrepancy originates from the anisotropic response of polycrystalline solid
${}^{4}$He connected with low-angle grain boundaries by studying the shear
modulus parallel to and perpendicular to the driving direction.


title:
Enabling Cognitive Intelligence Queries in Relational Databases using
  Low-dimensional Word Embeddings

abstract:
  We apply distributed language embedding methods from Natural Language
Processing to assign a vector to each database entity associated token (for
example, a token may be a word occurring in a table row, or the name of a
column). These vectors, of typical dimension 200, capture the meaning of tokens
based on the contexts in which the tokens appear together. To form vectors, we
apply a learning method to a token sequence derived from the database. We
describe various techniques for extracting token sequences from a database. The
techniques differ in complexity, in the token sequences they output and in the
database information used (e.g., foreign keys). The vectors can be used to
algebraically quantify semantic relationships between the tokens such as
similarities and analogies. Vectors enable a dual view of the data: relational
and (meaningful rather than purely syntactical) text. We introduce and explore
a new class of queries called cognitive intelligence (CI) queries that extract
information from the database based, in part, on the relationships encoded by
vectors. We have implemented a prototype system on top of Spark to exhibit the
power of CI queries. Here, CI queries are realized via SQL UDFs. This power
goes far beyond text extensions to relational systems due to the information
encoded in vectors. We also consider various extensions to the basic scheme,
including using a collection of views derived from the database to focus on a
domain of interest, utilizing vectors and/or text from external sources,
maintaining vectors as the database evolves and exploring a database without
utilizing its schema. For the latter, we consider minimal extensions to SQL to
vastly improve query expressiveness.


title: Metasurfaces for perfect and full control of refraction and reflection

abstract:
  In this talk we present and discuss a new general approach to the synthesis
of metasurfaces for full control of transmitted and reflected fields. The
method is based on the use of an equivalent impedance matrix which connects the
tangential field components at the two sides on the metasurface. Finding the
impedance matrix components, we are able to synthesize metasurfaces which
perfectly realize the desired response. We will explain possible alternative
physical realizations and reveal the crucial role of bianisotropic coupling to
achieve full control of transmission through perfectly matched metasurfaces.
This abstract summarizes our results on metasurfaces for perfect refraction
into an arbitrary direction.


title: The structure of limit groups over hyperbolic groups

abstract:
  Let $\Gamma$ be a torsion-free hyperbolic group. We study $\Gamma$--limit
groups which, unlike the fundamental case in which $\Gamma$ is free, may not be
finitely presentable or geometrically tractable. We define model
$\Gamma$--limit groups, which always have good geometric properties (in
particular, they are always relatively hyperbolic). Given a strict resolution
of an arbitrary $\Gamma$--limit group $L$, we canonically construct a strict
resolution of a model $\Gamma$--limit group, which encodes all homomorphisms
$L\to \Gamma$ that factor through the given resolution. We propose this as the
correct framework in which to study $\Gamma$--limit groups algorithmically. We
enumerate all $\Gamma$--limit groups in this framework.


title: Weakly-Supervised Semantic Segmentation using Motion Cues

abstract:
  Fully convolutional neural networks (FCNNs) trained on a large number of
images with strong pixel-level annotations have become the new state of the art
for the semantic segmentation task. While there have been recent attempts to
learn FCNNs from image-level weak annotations, they need additional
constraints, such as the size of an object, to obtain reasonable performance.
To address this issue, we present motion-CNN (M-CNN), a novel FCNN framework
which incorporates motion cues and is learned from video-level weak
annotations. Our learning scheme to train the network uses motion segments as
soft constraints, thereby handling noisy motion information. When trained on
weakly-annotated videos, our method outperforms the state-of-the-art EM-Adapt
approach on the PASCAL VOC 2012 image segmentation benchmark. We also
demonstrate that the performance of M-CNN learned with 150 weak video
annotations is on par with state-of-the-art weakly-supervised methods trained
with thousands of images. Finally, M-CNN substantially outperforms recent
approaches in a related task of video co-localization on the YouTube-Objects
dataset.


title:
Is the $\beta$ Pictoris member GJ3039AB a physical binary? What the
  rotation periods tell us

abstract:
  We have carried out a multi-band photometric monitoring of the close visual
binary GJ3039, consisting of a M4 primary and a fainter secondary component,
and likely member of the young stellar association $\beta$ Pictoris (24-Myr
old). From our analysis we found that both components are photometric variables
and, for the first time, we detected two micro-flare events. We measured from
periodogram analysis of the photometric time series two rotation periods P =
3.355d and P = 0.925d, that we could attribute to the brighter GJ3039A and the
fainter GJ3039B components, respectively. A comparison of these rotation
periods with the period distribution of other $\beta$ Pictoris members further
supports that GJ3039A is a member of this association. We find that also
GJ3039B could be a member, but the infrared magnitude differences between the
two components taken from the literature and the photometric variability, which
is found to be comparable in both stars, suggest that GJ3039B could be a
foreground star physically unbound to the primary A component.


title: RG-improved Prediction for 750 GeV Resonance Production at the LHC

abstract:
  We present a renormalization-group (RG) improved prediction for $750$ GeV
heavy state production recently seen as the diphoton excess at the LHC. Due to
the universality of QCD feature in the threshold region, our result provides
reasonable estimate of the K-factor for most existing leading order
predictions, independent of the specific nature of the resonance. We consider
specifically the spin-$2$ warped Kaluza-Klein graviton model to highlight our
calculation. We performed soft gluon resummation near threshold at
next-to-next-to-leading logarithmic (NNLL) accuracy together with resumming
enhanced corrections from a towers of $\pi^2$ due to analytic continuation. We
find the resummation effects are significant. When matching our resummed result
to next-to-leading order calculation, we find our improved predictions exceed
the leading fixed-order results by about $56\%$ ($K=1.56$) for the LHC energies
at 13 TeV and 14 TeV, and about $63\%$ ($K=1.63$) for 8 TeV.


title:
Detailed chemical abundances of distant RR Lyrae stars in the Virgo
  Stellar Stream

abstract:
  We present the first detailed chemical abundances for distant RR Lyrae stars
members of the Virgo Stellar Stream (VSS), derived from X-Shooter
medium-resolution spectra. Sixteen elements from carbon to barium have been
measured in six VSS RR Lyrae stars, sampling all main nucleosynthetic channels.
For the first time we will be able to compare in detail the chemical evolution
of the VSS progenitor with those of Local Group dwarf spheroidal galaxies (LG
dSph) as well as the one of the smooth halo.


title:
On the exponential convergence rate for a non-gradient Fokker-Planck
  equation in Computational Neuroscience

abstract:
  This paper concerns the proof of the exponential rate of convergence of the
solution of a Fokker-Planck equation, with a drift term not being the gradient
of a potential function and endowed by Robin type boundary conditions. This
kind of problem arises, for example, in the study of interacting neurons
populations. Previous studies have numerically shown that, after a small period
of time, the solution of the evolution problem exponentially converges to the
stable state of the equation.


title:
On the irrationality of certain coefficients of the Alekseev-Torossian
  associator

abstract:
  We give explicit formulas for the first few coefficients of the
Alekseev-Torossian associator and a second Drinfeld associator. This is done by
analyzing the free and transitive action of the Grothendieck-Teichm\"uller
group and its Lie algebra $\mathfrak{grt}_1$ on the set of Drinfeld
associators. As a result we obtain that, up to a conjecture on multiple zeta
values, both associators are not rational.


title:
Holographic tool kit for optical communication beyond orbital angular
  momentum

abstract:
  Mode division multiplexing (MDM) is mooted as a technology to address future
bandwidth issues, and has been successfully demonstrated in free space using
spatial modes with orbital angular momentum (OAM). To further increase the data
transmission rate, more degrees of freedom are required to form a densely
packed mode space. Here we move beyond OAM and demonstrate multiplexing and
demultiplexing using both the radial and azimuthal degrees of freedom. We
achieve this with a holographic approach that allows over 100 modes to be
encoded on a single hologram, across a wide wavelength range, in a wavelength
independent manner. Our results offer a new tool that will prove useful in
realising higher bit rates for next generation optical networks.


title:
A Decentralized Quasi-Newton Method for Dual Formulations of Consensus
  Optimization

abstract:
  This paper considers consensus optimization problems where each node of a
network has access to a different summand of an aggregate cost function. Nodes
try to minimize the aggregate cost function, while they exchange information
only with their neighbors. We modify the dual decomposition method to
incorporate a curvature correction inspired by the
Broyden-Fletcher-Goldfarb-Shanno (BFGS) quasi-Newton method. The resulting dual
D-BFGS method is a fully decentralized algorithm in which nodes approximate
curvature information of themselves and their neighbors through the
satisfaction of a secant condition. Dual D-BFGS is of interest in consensus
optimization problems that are not well conditioned, making first order
decentralized methods ineffective, and in which second order information is not
readily available, making decentralized second order methods infeasible.
Asynchronous implementation is discussed and convergence of D-BFGS is
established formally for both synchronous and asynchronous implementations.
Performance advantages relative to alternative decentralized algorithms are
shown numerically.


title:
An algorithm for computing weight multiplicities in irreducible modules
  for complex semisimple Lie algebras

abstract:
  Let $\mathfrak{g}$ be a semisimple Lie algebra over $\mathbb{C}$ having rank
$l$ and let $V=L(\lambda)$ be an irreducible finite-dimensional
$\mathfrak{g}$-module having highest weight $\lambda.$ Computations of weight
multiplicities in $V,$ usually based on Freudenthal's formula, are in general
difficult to carry out in large ranks or for $\lambda$ with large coefficients
(in terms of the fundamental weights). In this paper, we first show that in
some situations, these coefficients can be "lowered" in order to simplify the
calculations. We then investigate how this can be used to improve the
aforementioned formula of Freudenthal, leading to a more efficient version of
the latter in terms of complexity as well as a way of dealing with certain
computations in unbounded ranks. We conclude by illustrating the last assertion
with a concrete example.


title: Profinite properties of RAAGs and special groups

abstract:
  In this paper we prove that RAAGs are distinguished from each other by their
pro-$p$ completions for any choice of prime $p$, and that RACGs are
distinguished from each other by their pro-2 completions. We also give a new
proof that hyperbolic virtually special groups are good in the sense of Serre.
Furthermore we give an example of a property of the underlying graph of a RAAG
that translates to a property of the profinite completion.


title: Improved Calibration of Instruments for Small Direct Currents

abstract:
  We report on new calibration methods for picoammeters and low-current
sources. The "Ultrastable Low-noise Current Amplifier" (ULCA) was used for the
exemplary calibration of commercial state-of-the-art ammeter and current source
instruments in the current range between 1 femtoampere and 1 microampere. The
uncertainties achieved are compared with results obtained from two other
calibration methods for small direct currents. It is shown that using the ULCA
as calibrator allows achieving lower uncertainties together with the benefit of
easier handling compared to alternative techniques. Also, the ULCA allows
performing current meter and source calibrations between 1 femtoampere and 1
microampere with a single method.


title:
Comparison Properties of the Cuntz semigroup and applications to
  C*-algebras

abstract:
  We study comparison properties in the category Cu aiming to lift results to
the C*-algebraic setting. We introduce a new comparison property and relate it
to both the CFP and $\omega$-comparison. We show differences of all properties
by providing examples, which suggest that the corona factorization property for
C*-algebras might allow for both finite and infinite projections. In addition,
we show that R{\o}rdam's simple, nuclear C*-algebra with a finite and an
infinite projection does not have the CFP.


title:
High-finesse Fabry-Perot cavities with bidimensional Si$_3$N$_4$
  photonic-crystal slabs

abstract:
  Light scattering by a two-dimensional photonic crystal slab (PCS) can result
in dramatic interference effects associated with Fano resonances. Such devices
offer appealing alternatives to distributed Bragg reflectors or filters for
various applications such as optical wavelength and polarization filters,
reflectors, semiconductor lasers, photodetectors, bio-sensors, or non-linear
optical components. Suspended PCSs also find natural applications in the field
of optomechanics, where the mechanical modes of a suspended slab interact via
radiation pressure with the optical field of a high finesse cavity. The
reflectivity and transmission properties of a defect-free suspended PCS around
normal incidence can be used to couple out-of-plane mechanical modes to an
optical field by integrating it in a free space cavity. Here, we demonstrate
the successful implementation of a PCS reflector on a high-tensile stress
Si$_3$N$_4$ nanomembrane. We illustrate the physical process underlying the
high reflectivity by measuring the photonic crystal band diagram. Moreover, we
introduce a clear theoretical description of the membrane scattering properties
in the presence of optical losses. By embedding the PCS inside a high-finesse
cavity, we fully characterize its optical properties. The spectrally, angular,
and polarization resolved measurements demonstrate the wide tunability of the
membrane's reflectivity, from nearly 0 to 99.9470~$\pm$ 0.0025 \%, and show
that material absorption is not the main source of optical loss. Moreover, the
cavity storage time demonstrated in this work exceeds the mechanical period of
low-order mechanical drum modes. This so-called resolved sideband condition is
a prerequisite to achieve quantum control of the mechanical resonator with
light.


title: A probabilistic analysis of a discrete-time evolution in recombination

abstract:
  We give a closed form of the discrete-time evolution of a recombination
transformation in population genetics. This decomposition allows to define a
Markov chain in a natural way. We describe the geometric decay rate to the
limit distribution, and the quasi-stationary behavior when conditioned to the
event that the chain does not hit the limit distribution.


title: Stark resonances in a quantum waveguide with analytic curvature

abstract:
  We investigate the influence of an electric field on trapped modes arising in
a two-dimensional curved quantum waveguide ${\bf \Omega}$ i.e. bound states of
the corresponding Laplace operator $-\Delta\_{{\bf \Omega}}$. Here the
curvature of the guide is supposed to satisfy some assumptions of analyticity,
and decays as $O(|s|^{-\varepsilon}), \varepsilon > 3$ at infinity. We show
that under conditions on the electric field $ \bf F$, ${\bf H}(F):=
-\Delta\_{{\bf \Omega}} + {\bf F}. {\bf x} $ has resonances near the discrete
eigenvalues of $-\Delta\_{{\bf \Omega}}$.


title:
Quantification of surface displacements and electromechanical phenomena
  via dynamic atomic force microscopy

abstract:
  Detection of dynamic surface displacements associated with local changes in
material strain provides access to a number of phenomena and material
properties. Contact resonance-enhanced methods of Atomic Force Microscopy (AFM)
have been shown capable of detecting ~1-3 pm-level surface displacements, an
approach used in techniques such as piezoresponse force microscopy, atomic
force acoustic microscopy, and ultrasonic force microscopy. Here, based on an
analytical model of AFM cantilever vibrations, we demonstrate a guideline to
quantify surface displacements with a high accuracy by taking into account the
cantilever shape at the first resonant contact mode depending on the tip-sample
contact stiffness. The approach has been experimentally verified and further
developed for the piezoresponse force microscopy (PFM) using well-defined
ferroelectric materials. These results open up a way to accurate and precise
measurements of the surface displacement as well as piezoelectric constants at
the pm-scale with nanometer spatial resolution and will allow avoiding
erroneous data interpretations and measurement artefacts. This analysis is
directly applicable to all cantilever-resonance-based SPM techniques.


title:
Superradiance in a Large and Dilute Cloud of Cold Atoms in the
  Linear-Optics Regime

abstract:
  Superradiance has been extensively studied in the 1970s and 1980s in the
regime of superfluores-cence, where a large number of atoms are initially
excited. Cooperative scattering in the linear-optics regime, or "single-photon
superradiance" , has been investigated much more recently, and superra-diant
decay has also been predicted, even for a spherical sample of large extent and
low density, where the distance between atoms is much larger than the
wavelength. Here, we demonstrate this effect experimentally by directly
measuring the decay rate of the off-axis fluorescence of a large and dilute
cloud of cold rubidium atoms after the sudden switch-off of a low-intensity
laser driving the atomic transition. We show that, at large detuning, the decay
rate increases with the on-resonance optical depth. In contrast to forward
scattering, the superradiant decay of off-axis fluorescence is suppressed near
resonance due to attenuation and multiple-scattering effects.


title: The Optical Potential on the Lattice

abstract:
  The extraction of hadron-hadron scattering parameters from lattice data by
using the L\"uscher approach becomes increasingly complicated in the presence
of inelastic channels. We propose a method for the direct extraction of the
complex hadron-hadron optical potential on the lattice, which does not require
the use of the multi-channel L\"uscher formalism. Moreover, this method is
applicable without modifications if some inelastic channels contain three or
more particles.


title:
Normalizers and centralizers of cyclic subgroups generated by lone axis
  fully irreducible outer automorphisms

abstract:
  We let $\varphi$ be an ageometric fully irreducible outer automorphism so
that its Handel-Mosher axis bundle consists of a single unique axis. We show
that the centralizer $Cen(\langle\varphi\rangle)$ of the cyclic subgroup
generated by $\varphi$ equals the stabilizer $\text{Stab}(\Lambda^+_\varphi)$
of the attracting lamination $\Lambda^+_{\varphi}$ and is isomorphic to
$\mathbb Z$. We further show, via an analogous result about the commensurator,
that the normalizer $N(\langle\varphi\rangle)$ of $\langle \varphi \rangle$ is
isomorphic to either $\mathbb Z$ or $\mathbb Z_2 * \mathbb Z_2$.


title: Universal Properties of Fermi Gases in One-dimension

abstract:
  In this Rapid Communication, we investigate the universal properties of a
spin-polarized two-component Fermi gas in one dimension (1D) using Bethe
ansatz. We discuss the quantum phases and phase transitions by obtaining exact
results for the equation of state, the contact, the magnetic susceptibility and
the contact susceptibility, giving a precise understanding of the 1D analogue
of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer crossover in
three dimension (3D) and the associated universal magnetic properties. In
particular, we obtain the exact form of the magnetic susceptibility $\chi \sim
{1}/{\sqrt{T}}\exp(-\Delta/T)$ at low temperatures, where $\Delta$ is the
energy gap and $T$ is the temperature. Moreover, we establish exact upper and
lower bounds for the relation between polarization $P$ and the contact $C$ for
both repulsive and attractive Fermi gases. Our findings emphasize the role of
the pair fluctuations in strongly interacting 1D fermion systems that can shed
light on higher dimensions.


title:
Comment on "Gain-assisted superluminal light propagation through a
  Bose-Einstein condensate cavity system"

abstract:
  In a recent theoretical article [Eur. Phys. J. D 70, 1 (2016)], Kazemi et al.
claim to have demonstrated superluminal light transmission in an optomechanical
system where a Bose-Einstein condensate serves as the mechanical oscillator. In
fact the superluminal propagation is only inferred from the existence of a
minimum of transmission of the system at the probe frequency. This condition is
not sufficient and we show that, in all the cases where superluminal
propagation is claimed by Kazemi et al., the propagation is in reality
subluminal. Moreover, we point out that the system under consideration is not
minimum-phase-shift. The Kramers-Kronig relations then only fix a lower limit
to the group delay and we show that these two quantities have sometimes
opposite signs.


title: Leibniz vs Ishiguro: Closing a quarter-century of syncategoremania

abstract:
  Did Leibniz exploit infinitesimals and infinities `a la rigueur, or only as
shorthand for quantified propositions that refer to ordinary Archimedean
magnitudes? Chapter 5 in (Ishiguro 1990) is a defense of the latter position,
which she reformulates in terms of Russellian logical fictions. Ishiguro does
not explain how to reconcile this interpretation with Leibniz's repeated
assertions that infinitesimals violate the Archimedean property, viz., Euclid's
Elements, V.4. We present textual evidence from Leibniz, as well as historical
evidence from the early decades of the calculus, to undermine Ishiguro's
interpretation. Leibniz frequently writes that his infinitesimals are useful
fictions, and we agree; but we shall show that it is best not to understand
them as logical fictions; instead, they are better understood as pure fictions.
  Keywords: Archimedean property; infinitesimal; logical fiction; pure fiction;
quantified paraphrase; law of homogeneity


title: Computing Equilibria in Markets with Budget-Additive Utilities

abstract:
  We present the first analysis of Fisher markets with buyers that have
budget-additive utility functions. Budget-additive utilities are elementary
concave functions with numerous applications in online adword markets and
revenue optimization problems. They extend the standard case of linear
utilities and have been studied in a variety of other market models. In
contrast to the frequently studied CES utilities, they have a global satiation
point which can imply multiple market equilibria with quite different
characteristics. Our main result is an efficient combinatorial algorithm to
compute a market equilibrium with a Pareto-optimal allocation of goods. It
relies on a new descending-price approach and, as a special case, also implies
a novel combinatorial algorithm for computing a market equilibrium in linear
Fisher markets. We complement these positive results with a number of hardness
results for related computational questions. We prove that it is NP-hard to
compute a market equilibrium that maximizes social welfare, and it is PPAD-hard
to find any market equilibrium with utility functions with separate satiation
points for each buyer and each good.


title:
Differentially Expressed Functional Connectivity Networks with K-partite
  Graph Topology

abstract:
  Emerging brain network studies suggest that interactions between various
distributed neuronal populations may be characterized by an organized complex
topological structure. Many brain diseases are associated with altered
topological patterns of brain connectivity. Therefore, a key inquiry of
connectivity analysis is to identify network-level differentially expressed
connections that have low false positive rates, sufficient statistical power,
and high reproducibility. In this paper, we propose a novel statistical
approach to fulfill this goal by leveraging the topological structure of
differentially expressed functional connections or edges in a graphical
representation. We propose a new algorithm to automatically detect the latent
topology of a k-partite graph structure, and we also provide statistical
inferential techniques to test the detected topology. We evaluate our new
methods via extensive numerical studies. We also apply our new approach to
resting state fMRI data (24 cases and 18 controls) for Parkinson's disease
research. The detected connectivity network biomaker with the k-partite graph
topological structure reveals underlying neural features distinguishing
Parkinson's disease patients from healthy control subjects.


title: Analytic number theory for 0-cycles

abstract:
  There is a well-known analogy between integers and polynomials over $F_q$,
and a vast literature on analytic number theory for polynomials. From a
geometric point of view, polynomials are equivalent to effective 0-cycles on
the affine line. This leads one to ask: Can the analogy between integers and
polynomials be extended to 0-cycles on more general varieties? In this paper we
study prime factorization of effective 0-cycles on an arbitrary connected
variety $V$ over $F_q$, emphasizing the analogy between integers and 0-cycles.
For example, inspired by the works of Granville and Rhoades, we prove that the
prime factors of 0-cycles are typically Poisson distributed.


title:
Compressible Navier-Stokes system : large solutions and incompressible
  limit

abstract:
  Here we prove the existence of global in time regular solutions to the
two-dimensional compressible Navier-Stokes equations supplemented with
arbitrary large initial velocity $v\_0$ and almost constantdensity
$\varrho\_0$, for large volume (bulk) viscosity. The result is generalized to
the higher dimensional case under the additional assumption that the strong
solution of the classical incompressible Navier-Stokes equations supplemented
with the divergence-freeprojection of $v\_0,$ is global. The systems are
examined in $R^d$ with $d \geq 2$, in the critical $\dot B^s\_{2,1}$ Besov
spaces framework.


title: The rate of convergence for the renewal theorem in $\mathbb{R}^d$

abstract:
  Let $\rho$ be a borelian probability measure on $\mathrm{SL}_d(\mathbb{R})$.
Consider the random walk $(X_n)$ on $\mathbb{R}^d\setminus\{0\}$ defined by
$\rho$ : for any $x\in \mathbb{R}^d\setminus\{0\}$, we set $X_0 =x$ and
$X_{n+1} = g_{n+1} X_n$ where $(g_n)$ is an iid sequence of
$\mathrm{SL}_d(\mathbb{R})-$valued random variables of law $\rho$. Guivarc'h
and Raugi proved that under an assumption on the subgroup generated by the
support of $\rho$ (strong irreducibility and proximality), this walk is
transient.
  In particular, this proves that if $f$ is a compactly supported continuous
function on $\mathbb{R}^d$, then the function $Gf(x) :=\mathbb{E}_x
\sum_{n=0}^{+\infty} f(X_n)$ is well defined for any $x\in \mathbb{R}^d
\setminus\{0\}$.
  Guivarc'h and Le Page proved the renewal theorem in this situation : they
study the possible limits of $Gf$ at $0$ and in this article, we study the rate
of convergence in their renewal theorem.
  To do so, we consider the family of operators $(P(it))_{t\in \mathbb{R}}$
defined for any continuous function $f$ on the sphere $\mathbb{S}^{d-1}$ and
any $x\in \mathbb{S}^{d-1}$ by \[ P(it) f(x) = \int_{\mathrm{SL}_d(\mathbb{R})}
e^{-it \ln \frac{ \|gx\|}{\|x\|}} f\left(\frac{gx}{\|gx\|}\right)
\mathrm{d}\rho(g) \] And we prove that, for some $L\in \mathbb{R}$ and any $t_0
\in \mathbb{R}_+^\ast$, \[ \sup_{\substack{t\in \mathbb{R}\\ |t| \geqslant
t_0}} \frac{ 1 }{|t|^L} \left\| (I_d-P(it))^{-1} \right\| \text{ is finite} \]
where the norm is taken in some space of h\"older-continuous functions on the
sphere.


title: Pre-Expansivity in Cellular Automata

abstract:
  We introduce the property of pre-expansivity for cellular automata (CA): it
is the property of being expansive on asymptotic pairs of configurations (i.e.
configurations that differ in only finitely many positions). Pre-expansivity
therefore lies between expansivity and pre-injectivity, two important notions
of CA theory. We show that there exist one-dimensional positively pre-expansive
CAs which are not positively expansive and they can be chosen reversible (while
positive expansivity is impossible for reversible CAs). We show however that no
bi-dimensional CA which is linear over an Abelian group can be pre-expansive.
We also consider the finer notion of k-expansivity (expansivity over pairs of
configurations with exactly k differences) and show examples of linear CA in
dimension 2 and on the free group that are k-expansive depending on the value
of k, whereas no (positively) expansive CA exists in this setting.


title: Neville's primitive elliptic functions: the case ${\bf g_3 = 0}$

abstract:
  The vanishing of the invariant $g_3$ attached to a lattice $\Lambda$ singles
out a midpoint lattice and yields a square-root of the associated Weierstrass
function $\wp_{\Lambda}$.


title:
The trace monoids in the queue monoid and in the direct product of two
  free monoids

abstract:
  We prove that a trace monoid embeds into the queue monoid if and only if it
embeds into the direct product of two free monoids. We also give a decidable
characterization of these trace monoids.


title:
Strong Normalizability as a Finiteness Structure via the Taylor
  Expansion of {\lambda}-terms

abstract:
  In the folklore of linear logic, a common intuition is that the structure of
finiteness spaces, introduced by Ehrhard, semantically reflects the strong
normalization property of cut-elimination. We make this intuition formal in the
context of the non-deterministic {\lambda}-calculus by introducing a finiteness
structure on resource terms, which is such that a {\lambda}-term is strongly
normalizing iff the support of its Taylor expansion is finitary. An application
of our result is the existence of a normal form for the Taylor expansion of any
strongly normalizable non-deterministic {\lambda}-term.


title:
Landau damping for the linearized Vlasov Poisson equation in a weakly
  collisional regime

abstract:
  In this paper, we consider the linearized Vlasov-Poisson equation around an
homogeneous Maxwellian equilibrium in a weakly collisional regime: there is a
parameter $\eps$ in front of the collision operator which will tend to $0$.
Moreover, we study two cases of collision operators, linear Boltzmann and
Fokker-Planck. We prove a result of Landau damping for those equations in
Sobolev spaces uniformly with respect to the collision parameter $\eps$ as it
goes to $0$.


title: $(D+1)$-Colored Graphs - a Review of Sundry Properties

abstract:
  We review the combinatorial, topological, algebraic and metric properties
supported by $(D+1)$-colored graphs, with a focus on those that are pertinent
to the study of tensor model theories. We show how to extract a limiting
continuum metric space from this set of graphs and detail properties of this
limit through the calculation of exponents at criticality.


title:
A Convergent Staggered Scheme for the Variable Density Incompressible
  Navier-Stokes Equations

abstract:
  In this paper, we analyze a scheme for the time-dependent variable density
Navier-Stokes equations. The algorithm is implicit in time, and the space
approximation is based on a low-order staggered non-conforming finite element,
the so-called Rannacher-Turek element. The convection term in the momentum
balance equation is discretized by a finite volume technique, in such a way
that a solution obeys a discrete kinetic energy balance, and the mass balance
is approximated by an upwind finite volume method. We first show that the
scheme preserves the stability properties of the continuous problem (L
$\infty$-estimate for the density, L $\infty$ (L 2)-and L 2 (H 1)-estimates for
the velocity), which yields, by a topological degree technique, the existence
of a solution. Then, invoking compactness arguments and passing to the limit in
the scheme, we prove that any sequence of solutions (obtained with a sequence
of discretizations the space and time step of which tend to zero) converges up
to the extraction of a subsequence to a weak solution of the continuous
problem.


title:
Large deviations and applications for Markovian Hawkes processes with a
  large initial intensity

abstract:
  Hawkes process is a class of simple point processes that is self-exciting and
has clustering effect. The intensity of this point process depends on its
entire past history. It has wide applications in finance, insurance,
neuroscience, social networks, criminology, seismology, and many other fields.
In this paper, we study linear Hawkes process with an exponential kernel in the
asymptotic regime where the initial intensity of the Hawkes process is large.
We establish large deviations for Hawkes processes in this regime as well as
the regime when both the initial intensity and the time are large. We
illustrate the strength of our results by discussing the applications to
insurance and queueing systems.


title:
Hubble-Lema\^itre fragmentation and the path to equilibrium of
  merger-driven cluster formation

abstract:
  This paper discusses a new method to generate self-coherent initial
conditions for young substructured stellar cluster. The expansion of a uniform
system allows stellar sub-structures (clumps) to grow from fragmentation modes
by adiabatic cooling. We treat the system mass elements as stars, chosen
according to a Salpeter mass function, and the time-evolution is performed with
a collisional N-body integrator. This procedure allows to create a
fully-coherent relation between the clumps' spatial distribution and the
underlying velocity field. The cooling is driven by the gravitational field, as
in a cosmological Hubble-Lema\^itre flow. The fragmented configuration has a
`fractal'-like geometry but with a self-grown velocity field and mass profile.
We compare the characteristics of the stellar population in clumps with that
obtained from hydrodynamical simulations and find a remarkable correspondence
between the two in terms of the stellar content and the degree of spatial
mass-segregation. In the fragmented configuration, the IMF power index is ~0.3
lower in clumps in comparison to the field stellar population, in agreement
with observations in the Milky Way. We follow in time the dynamical evolution
of fully fragmented and sub-virial configurations, and find a soft collapse,
leading rapidly to equilibrium (timescale of 1 Myr for a ~ 10^4 Msun system).
The low-concentration equilibrium implies that the dynamical evolution
including massive stars is less likely to induce direct collisions and the
formation of exotic objects. Low-mass stars already ejected from merging clumps
are depleted in the end-result stellar clusters, which harbour a top-heavy
stellar mass function.


title: Photon mass drag and the momentum of light in a medium

abstract:
  Conventional theories of electromagnetic waves in a medium assume that the
energy propagating with the light pulse in the medium is entirely carried by
the field. Thus, the possibility that the optical force field of the light
pulse would drive forward an atomic mass density wave (MDW) and the related
kinetic and elastic energies is neglected. In this work, we present foundations
of a covariant theory of light propagation in a medium by considering a light
wave simultaneously with the dynamics of the medium atoms driven by optoelastic
forces between the induced dipoles and the electromagnetic field. We prove that
the transfer of mass as MDW associated with the light pulse, the photon mass
drag effect, gives an essential contribution to the total momentum of the light
pulse, which becomes equal to the Minkowski momentum. Thus, our theory also
resolves the centenary Abraham-Minkowski controversy of the momentum of light
in a nondispersive medium. We derive the photon mass drag effect using two
independent but complementary covariant models. In the mass-polariton (MP)
quasiparticle approach, we consider the light pulse as a coupled state between
the photon and matter, isolated from the rest of the medium. The momentum and
the transferred mass of MP follow unambiguously from the Lorentz invariance and
the fundamental conservation laws of nature. To enable the calculation of the
mass and momentum distribution of a light pulse, we have also generalized the
electrodynamics of continuous media to account for the optoelastic dynamics of
the medium. In this optoelastic continuum dynamics (OCD) approach, we obtain a
numerically accurate solution of the Newtonian continuum dynamics of the medium
when the light pulse is propagating in it. We finally discuss a possibility of
an optical waveguide setup for experimental measurement of the transferred mass
of the light pulse.


title: Numerical stability of a hybrid method for pricing options

abstract:
  We develop and study stability properties of a hybrid approximation of
functionals of the Bates jump model with stochastic interest rate that uses a
tree method in the direction of the volatility and the interest rate and a
finite-difference approach in order to handle the underlying asset price
process. We also propose hybrid simulations for the model, following a binomial
tree in the direction of both the volatility and the interest rate, and a
space-continuous approximation for the underlying asset price process coming
from a Euler-Maruyama type scheme. We show that our methods allow to obtain
efficient and accurate European and American option prices. Numerical
experiments are provided, and show the reliability and the efficiency of the
algorithms.


title: Equivalences of tame blocks for p-adic linear groups

abstract:
  Let p and $\ell$ be two distinct primes, F a p-adic field and n an integer.
We show that any level 0 block of the category of smooth Z $\ell$-valued
representations of GL n (F) is equivalent to the unipotent block of an
appropriate product of GL n i (F i). To this end, we first show that the level
0 category of GL n (F) is equivalent to a category of " modules " over a
certain Z $\ell$-algebra " with many objects " whose definition only involves n
and the residue field of F. Then we use fine properties of Deligne-Lusztig
cohomology to split this algebra and produce suitable Morita equivalences.


title:
On Secure Computation Over the Binary Modulo-2 Adder Multiple-Access
  Wiretap Channel

abstract:
  In this paper, the problem of securely computing a function over the binary
modulo-2 adder multiple-access wiretap channel is considered. The problem
involves a legitimate receiver that wishes to reliably and efficiently compute
a function of distributed binary sources while an eavesdropper has to be kept
ignorant of them. In order to characterize the corresponding fundamental limit,
the notion of secrecy computation-capacity is introduced. Although determining
the secrecy computation-capacity is challenging for arbitrary functions, it
surprisingly turns out that if the function perfectly matches the algebraic
structure of the channel and the joint source distribution fulfills certain
conditions, the secrecy computation-capacity equals the computation capacity,
which is the supremum of all achievable computation rates without secrecy
constraints. Unlike the case of securely transmitting messages, no additional
randomness is needed at the encoders nor does the legitimate receiver need any
advantage over the eavesdropper. The results therefore show that the problem of
securely computing a function over a multiple-access wiretap channel may
significantly differ from the one of securely communicating messages.


title: Multi-photon transitions and Rabi resonance in continuous wave EPR

abstract:
  The study of microwave and radiofrequency multi-photon transitions in
continuous wave (CW) EPR spectroscopy is extended to a Rabi resonance
condition, when the radio frequency of the magnetic-field modulation matches
the Rabi frequency of a spin system in the microwave field. Using the
non-secular perturbation theory based on the Bogoliubov averaging method, the
analytical description of the response of the spin system is derived for all
modulation frequency harmonics. When the modulation frequency exceeds the EPR
linewidth, multi-photon transitions result in sidebands in absorption EPR
spectra measured with phase-sensitive detection at any harmonic. The saturation
of different-order multi-photon transitions is shown to be significantly
different and to be sensitive to the Rabi resonance. The noticeable frequency
shifts of sidebands are found to be the signatures of this resonance. The
inversion of two-photon lines in some spectral intervals of the out-of-phase
first-harmonic signal is predicted under passage through the Rabi resonance.
The inversion indicates the transition from absorption to stimulated emission
or vice versa, depending on the sideband. The manifestation of the primary and
secondary Rabi resonance is also demonstrated in time-resolved steady-state EPR
signals formed by all harmonics of the modulation frequency. Our results
provide a theoretical framework for future developments in multi-photon CW EPR
spectroscopy, which can be useful for samples with long spin relaxation times
and extremely narrow EPR lines


title: Sequential Mechanisms with ex-post Participation Guarantees

abstract:
  We provide a characterization of revenue-optimal dynamic mechanisms in
settings where a monopolist sells k items over k periods to a buyer who
realizes his value for item i in the beginning of period i. We require that the
mechanism satisfies a strong individual rationality constraint, requiring that
the stage utility of each agent be positive during each period. We show that
the optimum mechanism can be computed by solving a nested sequence of static
(single-period) mechanisms that optimize a tradeoff between the surplus of the
allocation and the buyer's utility. We also provide a simple dynamic mechanism
that obtains at least half of the optimal revenue. The mechanism either ignores
history and posts the optimal monopoly price in each period, or allocates with
a probability that is independent of the current report of the agent and is
based only on previous reports. Our characterization extends to multi-agent
auctions. We also formulate a discounted infinite horizon version of the
problem, where we study the performance of "Markov mechanisms."


title: Three term relations for a class of bivariate orthogonal polynomials

abstract:
  We study matrix three term relations for orthogonal polynomials in two
variables constructed from orthogonal polynomials in one variable. Using the
three term recurrence relation for the involved univariate orthogonal
polynomials, the explicit expression for the matrix coefficients in these three
term relations are deduced. These matrices are diagonal or tridiagonal with
entries computable from the one variable coefficients in the respective three
term recurrence relation. Moreover, some interesting particular cases are
considered.


title:
Criterion for noise-induced synchronization: application to colloidal
  alignment

abstract:
  Colloidal bodies of irregular shape rotate as they descend under gravity in
solution. This rotational response provides a means of bringing a dispersion of
identical bodies into a synchronized rotation with the same orientation using
programmed forcing. We use the notion of statistical entropy to derive bounds
on the rate of synchronization. These bounds apply generally to dynamical
systems with stable periodic motion with a phase $\phi(t)$, when subjected to
an impulsive perturbation. The impulse causes a change of phase expressible as
a phase map $\psi(\phi)$. We derive an upper limit on the average change of
entropy $\left<\Delta H\right>$ in terms of this phase map; when this limit is
negative, alignment must occur. For systems that have achieved a low entropy,
the $\left<\Delta H\right>$ approaches this upper limit.


title: Leptonic decays of D-wave vector quarkonia

abstract:
  We give a short and basic introduction to our covariant
Dyson-Schwinger-Bethe-Salpeter-equation approach using a rainbow-ladder
truncated model of QCD, in which we investigate the leptonic decay properties
of heavy quarkonium states in the pseudoscalar and vector channels. Comparing
the magnitudes of decay constants, we identify radial 1-- excitations in our
calculation with experimental excitations of J/\Psi and \Upsilon. Particular
attention is paid to those states regarded as D-wave states in the quark model.
We predict e+e- decay width of the \Upsilon(1^3D_1) and \Upsilon(2^3D_1) states
of the order of ca. 15 eV or more. We also provide a set of predictions for
decay constants of pseudoscalar radial excitations in heavy quarkonia.


title: Discrepancy Skew Products and Affine Random Walks

abstract:
  We prove bounded rational ergodicity for some discrepancy skew products whose
rotation number has bad rational approximation. This is done by considering the
asymptotics of associated affine random walks.


title:
Lightweight Unsupervised Domain Adaptation by Convolutional Filter
  Reconstruction

abstract:
  End-to-end learning methods have achieved impressive results in many areas of
computer vision. At the same time, these methods still suffer from a
degradation in performance when testing on new datasets that stem from a
different distribution. This is known as the domain shift effect. Recently
proposed adaptation methods focus on retraining the network parameters.
However, this requires access to all (labeled) source data, a large amount of
(unlabeled) target data, and plenty of computational resources. In this work,
we propose a lightweight alternative, that allows adapting to the target domain
based on a limited number of target samples in a matter of minutes rather than
hours, days or even weeks. To this end, we first analyze the output of each
convolutional layer from a domain adaptation perspective. Surprisingly, we find
that already at the very first layer, domain shift effects pop up. We then
propose a new domain adaptation method, where first layer convolutional filters
that are badly affected by the domain shift are reconstructed based on less
affected ones. This improves the performance of the deep network on various
benchmark datasets.


title: Global-Local Face Upsampling Network

abstract:
  Face hallucination, which is the task of generating a high-resolution face
image from a low-resolution input image, is a well-studied problem that is
useful in widespread application areas. Face hallucination is particularly
challenging when the input face resolution is very low (e.g., 10 x 12 pixels)
and/or the image is captured in an uncontrolled setting with large pose and
illumination variations. In this paper, we revisit the algorithm introduced in
[1] and present a deep interpretation of this framework that achieves
state-of-the-art under such challenging scenarios. In our deep network
architecture the global and local constraints that define a face can be
efficiently modeled and learned end-to-end using training data. Conceptually
our network design can be partitioned into two sub-networks: the first one
implements the holistic face reconstruction according to global constraints,
and the second one enhances face-specific details and enforces local patch
statistics. We optimize the deep network using a new loss function for
super-resolution that combines reconstruction error with a learned face quality
measure in adversarial setting, producing improved visual results. We conduct
extensive experiments in both controlled and uncontrolled setups and show that
our algorithm improves the state of the art both numerically and visually.


title:
Individual identity in songbirds: signal representations and metric
  learning for locating the information in complex corvid calls

abstract:
  Bird calls range from simple tones to rich dynamic multi-harmonic structures.
The more complex calls are very poorly understood at present, such as those of
the scientifically important corvid family (jackdaws, crows, ravens, etc.).
Individual birds can recognise familiar individuals from calls, but where in
the signal is this identity encoded? We studied the question by applying a
combination of feature representations to a dataset of jackdaw calls, including
linear predictive coding (LPC) and adaptive discrete Fourier transform (aDFT).
We demonstrate through a classification paradigm that we can strongly
outperform a standard spectrogram representation for identifying individuals,
and we apply metric learning to determine which time-frequency regions
contribute most strongly to robust individual identification. Computational
methods can help to direct our search for understanding of these complex
biological signals.


title:
Resampling: an improvement of Importance Sampling in varying population
  size models

abstract:
  Sequential importance sampling algorithms have been defined to estimate
likelihoods in models of ancestral population processes. However, these
algorithms are based on features of the models with constant population size,
and become inefficient when the population size varies in time, making
likelihood-based inferences difficult in many demographic situations. In this
work, we modify a previous sequential importance sampling algorithm to improve
the efficiency of the likelihood estimation. Our procedure is still based on
features of the model with constant size, but uses a resampling technique with
a new resampling probability distribution depending on the pairwise composite
likelihood. We tested our algorithm, called sequential importance sampling with
resampling (SISR) on simulated data sets under different demographic cases. In
most cases, we divided the computational cost by two for the same accuracy of
inference, in some cases even by one hundred. This study provides the first
assessment of the impact of such resampling techniques on parameter inference
using sequential importance sampling, and extends the range of situations where
likelihood inferences can be easily performed.

categories: math.ST math.PR stat.AP stat.CO stat.ME stat.TH


title: A functoriality principle for blocks of p-adic linear groups

abstract:
  Bernstein blocks of complex representations of p-adic reductive groups have
been computed in a large amount of examples, in part thanks to the theory of
types a la Bushnell and Kutzko. The output of these purely
representation-theoretic computations is that many of these blocks are
equivalent. The motto of this paper is that most of these coincidences are
explained, and many more can be predicted, by a functoriality principle
involving dual groups. We prove a precise statement for groups related to GL n
, and then state conjectural generalizations in two directions : more general
reductive groups and/or integral l-adic representations.


title: Some results on anisotropic fractional mean curvature flows

abstract:
  We show the consistency of a threshold dynamics type algorithm for the
anisotropic motion by fractional mean curvature, in the presence of a time
dependent forcing term. Beside the consistency result, we show that convex sets
remain convex during the evolution, and the evolution of a bounded convex set
is uniquely defined.


title:
Nucleation, imaging and motion of magnetic domain walls in cylindrical
  nanowires

abstract:
  We report several procedures for the robust nucleation of magnetic domain
walls in cylindrical permalloy nanowires. Specific features of the magnetic
force microscopy contrast of such soft wires are discussed, with a view to
avoid the misinterpretation of the magnetization states. The domain walls could
be moved under quasistatic magnetic fields in the range 0.1--10 mT.


title:
Self-improving property of degenerate parabolic equations of porous
  medium-type

abstract:
  We show that the gradient of solutions to degenerate parabolic equations of
porous medium-type satisfies a reverse H\"older inequality in suitable
intrinsic cylinders. We modify the by-now classical Gehring lemma by
introducing an intrinsic Calder\'on-Zygmund covering argument, and we are able
to prove local higher integrability of the gradient of a proper power of the
solution $u$.


title:
Efficient simulation of wave-packet dynamics on multiple coupled
  potential surfaces with split potential propagation

abstract:
  We present a simple method to expedite simulation of quantum wave-packet
dynamics by more than a factor of $2$ with the Strang split-operator
propagation. Dynamics of quantum wave-packets are often evaluated using the the
\emph{Strang} split-step propagation, where the kinetic part of the Hamiltonian
$\hat{T}$ and the potential part $\hat{V}$ are piecewise integrated according
to $e^{- i \hat{H} \delta t} \approx e^{- i \hat{V} \delta t/2} e^{- i
\hat{T}\delta t} e^{- i \hat{V} \delta t/2}$, which is accurate to second order
in the propagation time $\delta t$. In molecular quantum dynamics, the
potential propagation occurs over multiple coupled potential surfaces and
requires matrix exponentiation for each position in space and time which is
computationally demanding. Our method employs further splitting of the
potential matrix $\hat{V}$ into a diagonal space dependent part
$\hat{V}_{D}(R)$ and an off-diagonal time-dependent coupling-field
$\hat{V}_{OD}(t)$, which then requires only a single matrix exponentiation for
each time-step, considerably reducing the calculation time even in the simplest
two-surface interaction ($\sim$70\% reduction observed in potential propagation
time). We analyze the additional error due to the potential splitting and show
it to be small compared to the inherent error associated with the
kinetic/potential splitting.


title: Heredity for generalized power domination

abstract:
  In this paper, we study the behaviour of the generalized power domination
number of a graph by small changes on the graph, namely edge and vertex
deletion and edge contraction. We prove optimal bounds for
$\gamma\_{p,k}(G-e)$, $\gamma\_{p,k}(G/e)$ and for $\gamma\_{p,k}(G-v)$ in
terms of $\gamma\_{p,k}(G)$, and give examples for which these bounds are
tight. We characterize all graphs for which $\gamma\_{p,k}(G-e) =
\gamma\_{p,k}(G)+1$ for any edge $e$. We also consider the behaviour of the
propagation radius of graphs by similar modifications.


title: Length Scale of Correlated Dynamics in Ultra-thin Molecular Glasses

abstract:
  Physical vapor deposition (PVD) is widely used in manufacturing ultra-thin
layers of amorphous organic solids. Here, we demonstrate that these films
exhibit a sharp transition from glassy solid to liquid-like behavior with
thickness below 30 nm. This liquid-like behavior persists even at temperatures
well below the glass transition temperature, T$_{\mathrm{g}}$. The enhanced
dynamics in these films can produce large scale morphological features during
PVD and lead to a dewetting instability in films held at temperatures as low as
T$_{\mathrm{g}}$-35 K. We measure the effective viscosity of organic glass
films by monitoring the dewetting kinetics. These measurements combined with
cooling rate-dependent T$_{\mathrm{g}}$ measurements show that the apparent
activation barrier for rearrangement decreases sharply in films thinner than 30
nm. These observations suggest long-range facilitation of dynamics induced by
the free surface, with dramatic effects on the properties of nano-scale
amorphous materials.


title: Evidence of Fermi bubbles around M31

abstract:
  Gamma-ray haloes can exist around galaxies due to the interaction of escaping
galactic cosmic rays with the surrounding gas. We have searched for such a halo
around the nearby giant spiral Andromeda galaxy M31 using almost 7 years of
Fermi LAT data at energies above 300 MeV. The presence of a diffuse gamma-ray
halo with total photon flux $2.6\pm 0.6\times 10^{-9}$ cm$^{-2}$~s$^{-1}$,
corresponding to a luminosity (0.3-100 GeV) of $(3.2\pm 0.6)\times 10^{38}$ erg
s$^{-1}$ (for a distance of 780~kpc) was found at a 5.3$\sigma$ confidence
level. The halo form does not correspond to the extended baryonic HI disc of
M31, as would be expected in hadronic production of gamma photons from cosmic
ray interaction, nor it is spherically symmetric, as could be in the case of
dark matter annihilation. The best-fit halo template corresponds to two 6-7.5
kpc bubbles symmetrically located perpendicular to the M31 galactic disc,
similar to the 'Fermi bubbles' found around the Milky Way centre, which
suggests the past activity of the central supermassive black hole or a
star-formation burst in M31.


title:
Quasi-degenerate Neutrino mass models and their significance: A model
  independent investigation

abstract:
  The prediction of possible ordering of neutrino masses relies mostly on the
model selected. Alienating the $\mu-\tau$ interchange symmetry from discrete
flavour symmetry based models, turns the neutrino mass matrix less predictive.
But this inspires one to seek the answer from other phenomenological
frameworks. We need a proper parametrization of the neutrino mass matrices
concerning individual hierarchies. In the present work, we attempt to study the
six different cases of Quasi-degenerate (QDN) neutrino models. The related mass
matrices, $m_{LL}^{\nu}$ are parametrized with two free parameters
($\alpha,\eta$) and standard Wolfenstein parameter ($\lambda$). The input mass
scale $m_0$ is selected around $\sim 0.08\,eV$. We begin with a $\mu-\tau$
symmetric neutrino mass matrix tailed by a correction from charged lepton
sector. The parametrization accentuates the existence of four independent
texture zero building block matrices which are common to all the QDN models
under $\mu-\tau$ symmetric framework. These remain invariant irrespective of
any choice of solar angle. In our parametrization, the neutrino sector controls
the solar angle, whereas the reactor and atmospheric angles are dictated by the
charged lepton sector. In the framework of oscillation experiments,
cosmological observation and future experiments involving $\beta$-decay and
$0\nu\beta\beta$ experiments, all QDN models are tested and a reason to rule
out anyone out of the six models is unfounded. A strong preference for
$\sin^2\theta_{12}=0.32$ is observed for QDNH-$Type A$ model.


title: Is there an exoplanet in the Solar System?

abstract:
  We investigate the prospects for the capture of the proposed Planet 9 from
other stars in the Sun's birth cluster. Any capture scenario must satisfy three
conditions: the encounter must be more distant than ~150 au to avoid perturbing
the Kuiper belt; the other star must have a wide-orbit planet (a>~100au); the
planet must be captured onto an appropriate orbit to sculpt the orbital
distribution of wide-orbit Solar System bodies. Here we use N-body simulations
to show that these criteria may be simultaneously satisfied. In a few percent
of slow close encounters in a cluster, bodies are captured onto heliocentric,
Planet 9-like orbits. During the ~100 Myr cluster phase, many stars are likely
to host planets on highly-eccentric orbits with apastron distances beyond 100
au if Neptune-sized planets are common and susceptible to planet--planet
scattering. While the existence of Planet 9 remains unproven, we consider
capture from one of the Sun's young brethren a plausible route to explain such
an object's orbit. Capture appears to predict a large population of
Trans-Neptunian Objects (TNOs) whose orbits are aligned with the captured
planet, and we propose that different formation mechanisms will be
distinguishable based on their imprint on the distribution of TNOs.


title: Flat vector bundles and open coverings

abstract:
  We establish a generic counting formula for the Euler number of a flat vector
bundle of rank $2n$ over a $2n$ dimensional closed manifold, in terms of
vertices of transversal open coverings of the underlying manifold. We use the
Mathai-Quillen formalism to prove our result.


title: A Tutorial on Deep Neural Networks for Intelligent Systems

abstract:
  Developing Intelligent Systems involves artificial intelligence approaches
including artificial neural networks. Here, we present a tutorial of Deep
Neural Networks (DNNs), and some insights about the origin of the term "deep";
references to deep learning are also given. Restricted Boltzmann Machines,
which are the core of DNNs, are discussed in detail. An example of a simple
two-layer network, performing unsupervised learning for unlabeled data, is
shown. Deep Belief Networks (DBNs), which are used to build networks with more
than two layers, are also described. Moreover, examples for supervised learning
with DNNs performing simple prediction and classification tasks, are presented
and explained. This tutorial includes two intelligent pattern recognition
applications: hand- written digits (benchmark known as MNIST) and speech
recognition.


title: A note on scaling arguments in the effective average action formalism

abstract:
  The effective average action (EAA) is a scale dependent effective action
where a scale $k$ is introduced via an infrared regulator. The $k-$dependence
of the EAA is governed by an exact flow equation to which one associates a
boundary condition at a scale $\mu$. We show that the $\mu-$dependence of the
EAA is controlled by an equation fully analogous to the Callan-Symanzik
equation which allows to define scaling quantities straightforwardly.
Particular attention is paid to composite operators which are introduced along
with new sources. We discuss some simple solutions to the flow equation for
composite operators and comment their implications in the case of a local
potential approximation.


title: Stochastic maximum principle for SPDEs with delay

abstract:
  In this paper we develop necessary conditions for optimality, in the form of
the Pontryagin maximum principle, for the optimal control problem of a class of
infinite dimensional evolution equations with delay in the state. In the cost
functional we allow the final cost to depend on the history of the state. To
treat such kind of cost functionals we introduce a new form of anticipated
backward stochastic differential equations which plays the role of dual
equation associated to the control problem.


title: Neural Summarization by Extracting Sentences and Words

abstract:
  Traditional approaches to extractive summarization rely heavily on
human-engineered features. In this work we propose a data-driven approach based
on neural networks and continuous sentence features. We develop a general
framework for single-document summarization composed of a hierarchical document
encoder and an attention-based extractor. This architecture allows us to
develop different classes of summarization models which can extract sentences
or words. We train our models on large scale corpora containing hundreds of
thousands of document-summary pairs. Experimental results on two summarization
datasets demonstrate that our models obtain results comparable to the state of
the art without any access to linguistic annotation.


title: Evaluating semantic models with word-sentence relatedness

abstract:
  Semantic textual similarity (STS) systems are designed to encode and evaluate
the semantic similarity between words, phrases, sentences, and documents. One
method for assessing the quality or authenticity of semantic information
encoded in these systems is by comparison with human judgments. A data set for
evaluating semantic models was developed consisting of 775 English
word-sentence pairs, each annotated for semantic relatedness by human raters
engaged in a Maximum Difference Scaling (MDS) task, as well as a faster
alternative task. As a sample application of this relatedness data,
behavior-based relatedness was compared to the relatedness computed via four
off-the-shelf STS models: n-gram, Latent Semantic Analysis (LSA), Word2Vec, and
UMBC Ebiquity. Some STS models captured much of the variance in the human
judgments collected, but they were not sensitive to the implicatures and
entailments that were processed and considered by the participants. All text
stimuli and judgment data have been made freely available.


title: Gaussian Process Morphable Models

abstract:
  Statistical shape models (SSMs) represent a class of shapes as a normal
distribution of point variations, whose parameters are estimated from example
shapes. Principal component analysis (PCA) is applied to obtain a
low-dimensional representation of the shape variation in terms of the leading
principal components. In this paper, we propose a generalization of SSMs,
called Gaussian Process Morphable Models (GPMMs). We model the shape variations
with a Gaussian process, which we represent using the leading components of its
Karhunen-Loeve expansion. To compute the expansion, we make use of an
approximation scheme based on the Nystrom method. The resulting model can be
seen as a continuous analogon of an SSM. However, while for SSMs the shape
variation is restricted to the span of the example data, with GPMMs we can
define the shape variation using any Gaussian process. For example, we can
build shape models that correspond to classical spline models, and thus do not
require any example data. Furthermore, Gaussian processes make it possible to
combine different models. For example, an SSM can be extended with a spline
model, to obtain a model that incorporates learned shape characteristics, but
is flexible enough to explain shapes that cannot be represented by the SSM. We
introduce a simple algorithm for fitting a GPMM to a surface or image. This
results in a non-rigid registration approach, whose regularization properties
are defined by a GPMM. We show how we can obtain different registration
schemes,including methods for multi-scale, spatially-varying or hybrid
registration, by constructing an appropriate GPMM. As our approach strictly
separates modelling from the fitting process, this is all achieved without
changes to the fitting algorithm. We show the applicability and versatility of
GPMMs on a clinical use case, where the goal is the model-based segmentation of
3D forearm images.


title:
The (w)hole survey: an unbiased sample study of transition disk
  candidates based on Spitzer catalogs

abstract:
  Understanding disk evolution and dissipation is essential for studies of
planet formation. Transition disks, i.e., disks with large dust cavities and
gaps, are promising candidates of active evolution. About two dozen
SED-selected candidates have been confirmed to have dust cavities through
millimeter interferometric imaging, but this sample is biased towards the
brightest disks. The Spitzer surveys of nearby low-mass star forming regions
have resulted in more than 4000 Young Stellar Objects (YSOs). Using color
criteria we have selected a sample of ~150 candidates, and an additional 40
candidates and known transition disks from the literature. The Spitzer data
were complemented by new observations at longer wavelengths, including new JCMT
and APEX submillimeter photometry, and WISE and Herschel-PACS mid and
far-infrared photometry. Furthermore, optical spectroscopy was obtained and
stellar types were derived for 85% of the sample, including information from
the literature. The SEDs were fit to a grid of RADMC-3D disk models with a
limited number of parameters: disk mass, inner disk mass, scale height and
flaring, and disk cavity radius, where the latter is the main parameter of
interest. A large fraction of the targets possibly have dust cavities based on
the SED. The derived cavity sizes are consistent with imaging/modeling results
in the literature, where available. Trends are found with Ldisk/Lstar and
stellar mass and a possible connection with exoplanet orbital radii. A
comparison with a previous study where color observables are used (Cieza et al.
2010) reveals large overlap between their category of planet-forming disks and
our transition disks with cavities. A large number of the new transition disk
candidates are suitable for follow-up observations with ALMA.


title: Summaries for Context-Free Games

abstract:
  We study two-player games played on the infinite graph of sentential forms
induced by a context-free grammar (that comes with an ownership partitioning of
the non-terminals). The winning condition is inclusion of the derived terminal
word in the language of a finite automaton. Our contribution is a new algorithm
to decide the winning player and to compute her strategy. It is based on a
novel representation of all plays starting in a non-terminal. The
representation uses the domain of Boolean formulas over the transition monoid
of the target automaton. The elements of the monoid are essentially procedure
summaries, and our approach can be seen as the first summary-based algorithm
for the synthesis of recursive programs. We show that our algorithm has optimal
(doubly exponential) time complexity, that it is compatible with recent
antichain optimizations, and that it admits a lazy evaluation strategy. Our
preliminary experiments indeed show encouraging results, indicating a speed up
of three orders of magnitude over a competitor.


title:
Cascading failures in interdependent networks with finite functional
  components

abstract:
  We present a cascading failure model of two interdependent networks in which
functional nodes belong to components of size greater than or equal to $s$. We
find theoretically and via simulation that in complex networks with random
dependency links the transition is first-order for $s\geq 3$ and second-order
for $s=2$. We find for two square lattices with a distance constraint $r$ in
the dependency links that increasing $r$ moves the system from a regime without
a phase transition to one with a second-order transition. As $r$ continues to
increase the system collapses in a first-order transition. Each regime is
associated with a different structure of domain formation of functional nodes.


title: Parabolic model with phase-jump coupling

abstract:
  We study the coherent dynamics of a two-level parabolic model and ways to
enhance population transfer and even to obtain complete population inversion in
such models. Motivated by the complete population inversion effect of zero-area
pulses found in [1], we consider a scheme where a given coupling function is
transformed to a zero-area coupling by performing phase-jump in the middle of
the evolution. We also derive a universal formula for the effect of the
phase-jump.


title: On the characterization of models of H*: The semantical aspect

abstract:
  We give a characterization, with respect to a large class of models of
untyped lambda-calculus, of those models that are fully abstract for
head-normalization, i.e., whose equational theory is H* (observations for head
normalization). An extensional K-model $D$ is fully abstract if and only if it
is hyperimmune, {\em i.e.}, not well founded chains of elements of D cannot be
captured by any recursive function.
  This article, together with its companion paper, form the long version of
[Bre14]. It is a standalone paper that presents a purely semantical proof of
the result as opposed to its companion paper that presents an independent and
purely syntactical proof of the same result.


title:
Resonant levels, vacancies and doping in Bi2Te3, Bi2Te2Se and Bi2Se3
  tetradymites

abstract:
  Electronic structures of the tetradymites, Bi$_2$Te$_3$, Bi$_2$Te$_2$Se and
Bi$_2$Se$_3$, containing various dopants and vacancies, are studied using the
first principles calculations methods. We focus on the possibility of formation
of the resonant levels (RL), confirming the formation of the RL by Sn in
Bi$_2$Te$_3$, and predicting similar behavior of Sn in Bi$_2$Te$_2$Se and
Bi$_2$Se$_3$. Vacancies, which are likely present on the chalcogen atoms in the
real samples of Bi$_2$Te$_2$Se and Bi$_2$Se$_3$, are also studied and their
charged donor and resonant behavior is discussed. Doping of the
vacancy-containing materials with regular acceptors, like Ca or Mg, is shown to
compensate the donor effect of vacancies, and $n-p$ crossover, while increasing
the dopant concentration, is observed. We verify, that RL on Sn is not
disturbed by the chalcogen vacancies in Bi$_2$Te$_2$Se and Bi$_2$Se$_3$, and
for the Sn-doped materials with Se or Te vacancies, double-doping, instead of
heavy doping with Sn, is suggested as an effective way of reaching the resonant
level. This should help to avoid the smearing of the RL, which was a possible
reason for an earlier unsuccessful experimental observation of the influence of
the RL on thermoelectric properties of Sn doped Bi$_2$Te$_2$Se. Finally we
show, that Al and Ga are possible new resonant impurities in the tetradymites,
hoping that it will stimulate further experimental studies.


title:
A characterization theorem and its applications for d-orthogonality of
  Sheffer polynomial sets

abstract:
  The purpose of this paper is to find the characterization of the Sheffer
polynomial sets satisfying the d-orthogonality conditions. The generating
function form of these polynomial sets is given in Theorem 2.2. As applications
of the Theorem 2.2, we revisit the d-orthogonal polynomial sets exist in the
literature and discover new d-orthogonal polynomial sets. Moreover, we obtain
the d-dimensional functional vector ensuring the d-orthogonality of these new
polynomial sets.


title:
General bounds for sender-receiver capacities in multipoint quantum
  communications

abstract:
  We investigate the maximum rates for transmitting quantum information,
distilling entanglement, and distributing secret keys between a sender and a
receiver in a multipoint communication scenario, with the assistance of
unlimited two-way classical communication involving all parties. First we
consider the case where a sender communicates with an arbitrary number of
receivers, so called quantum broadcast channel. Here we also provide a simple
analysis in the bosonic setting where we consider quantum broadcasting through
a sequence of beamsplitters. Then, we consider the opposite case where an
arbitrary number of senders communicate with a single receiver, so called
quantum multiple-access channel. Finally, we study the general case of
all-in-all quantum communication where an arbitrary number of senders
communicate with an arbitrary number of receivers. Since our bounds are
formulated for quantum systems of arbitrary dimension, they can be applied to
many different physical scenarios involving multipoint quantum communication.


title:
Large loop-coupling enhancement of a heavy pseudoscalar from a light
  dark sector

abstract:
  The small background and the sensitivity to charged particles via a leading
order loop coupling make the diphoton channel a privileged experimental test
for new physics models. We propose a simple archetypal scenario to generate a
sharp di-photon resonance as a result of threshold enhancements in the
effective coupling between a heavy pseudoscalar particle and new vector-like
leptons. We therefore study three different scenarios consistent with the
current experimental limits and deviating from the Standard Model at the
2~$\sigma$ level. The model also introduces a natural dark matter candidate
able to match the observed dark matter abundance and comfortably respect the
current direct detection constraints.


title:
Circular orbits and related quasi-harmonic oscillatory motion of charged
  particles around weakly magnetized rotating black holes

abstract:
  We study motion of charged particles in the field of a rotating black hole
immersed into an external asymptotically uniform magnetic field, focusing on
the epicyclic quasi-circular orbits near the equatorial plane. Separating the
circular orbits into four qualitatively different classes according to the sign
of the canonical angular momentum of the motion and the orientation of the
Lorentz force, we analyse the circular orbits using the so called force
formalism. We find the analytical solutions for the radial profiles of
velocity, specific angular momentum and specific energy of the circular orbits
in dependence on the black hole dimensionless spin and the magnetic field
strength. The innermost stable circular orbits are determined for all four
classes of the circular orbits. The stable circular orbits with outward
oriented Lorentz force can extend to radii lower than the radius of the
corresponding photon circular geodesic. We calculate the frequencies of the
harmonic oscillatory motion of the charged particles in the radial and vertical
directions related to the equatorial circular orbits and study the radial
profiles of the radial, $\omega_\mir$, vertical, $\omega_\mit$, and orbital,
$\omega_\mip$, frequencies, finding significant differences in comparison to
the epicyclic geodesic circular motion. The most important new phenomenon is
existence of toroidal charged particle epicyclic motion with $\omega_\mir \sim
\omega_{\mit} >> \omega_{\mip}$ that could occur around retrograde circular
orbits with outward oriented Lorentz force. We demonstrate that for the rapidly
rotating black holes the role of the 'Wald induced charge' can be relevant.


title:
Correlations of $\boldsymbol{\pi N}$ Partial Waves for Multi-Reaction
  Analyses

abstract:
  In the search for missing baryonic resonances, many analyses include data
from a variety of pion- and photon-induced reactions. For elastic $\pi N$
scattering, however, usually the partial waves of the SAID or other groups are
fitted, instead of data. We provide the partial-wave covariance matrices needed
to perform correlated $\chi^2$ fits, in which the obtained $\chi^2$ equals the
actual $\chi^2$ up non-linear and normalization corrections. For any analysis
relying on partial waves extracted from elastic pion scattering, this is a
prerequisite to assess the significance of resonance signals and to assign any
uncertainty on results. The influence of systematic errors is also considered.


title:
Stochastic thermodynamics in the quantum regime: From quantum
  measurement to quantum trajectories

abstract:
  This article sets up a new formalism to investigate stochastic thermodynamics
of out-of-equilibrium quantum systems, where stochasticity primarily comes from
quantum measurement. In the absence of any bath, we define a purely quantum
component to heat exchange, that corresponds to energy fluctuations induced by
measurement back-action. By providing a central position to quantum
measurement, our formalism bridges the gap between quantum optics and quantum
thermodynamics: Thermal signatures of measurement induced irreversibility are
identified in a simple implementation of Jarzynski equality, while quantum
thermodynamics sheds new light on textbook paradoxical trajectories in quantum
optics.


title: Black Holes in Higher Dimensions (Black Strings and Black Rings)

abstract:
  The last three years have again seen new exciting developments in the area of
higher dimensional black objects. For black objects with noncompact higher
dimensions, the solution space was exlored further within the blackfold
approach and with numerical schemes, yielding a large variety of new families
of solutions, while limiting procedures created so-called super-entropic black
holes. Concerning compact extra dimensions, the sequences of static nonuniform
black strings in five and six dimensions were extended to impressively large
values of the nonuniformity parameter with extreme numerical precision, showing
that an oscillating pattern arises for the mass, the area or the temperature,
while approaching the conjectured double-cone merger solution. Besides the
presentation of interesting new types of higherdimensional solutions, also
their physical properties were addressed in this session. While the main focus
was on Einstein gravity, a significant number of talks also covered Lovelock
theories.


title:
Observation of single-photon superradiance and the cooperative Lamb
  shift in an extended sample of cold atoms

abstract:
  We report direct, time-resolved observations of single-photon superradiance
in a highly extended, elliptical sample of cold 87Rb atoms. The observed rapid
decay rate is accompanied by its counterpart, the cooperative Lamb shift. The
rate of the strongly directional decay, and the associated shift, scale
linearly with the number of atoms and show a strong dependence on the sample
shape, demonstrating the collective nature of the observed quantities.


title: Congruence Testing of Point Sets in 4 Dimensions

abstract:
  Congruence between two n-point sets in 4 dimension can be checked in O(n log
n) time. On the way to establishing this result, we revisit several parts of
4-dimensional geometry, such as angles and distances between planes, Hopf
fibrations, and Coxeter groups.


title: Ground state phase diagram of Gaussian-Core bosons in two dimensions

abstract:
  The ground state of a two-dimensional (2D) system of Bose particles of spin
zero, interacting via a repulsive Gaussian-Core potential, has been
investigated by means of Quantum Monte Carlo simulations. The quantum phase
diagram is qualitatively identical to that of 2D Yukawa bosons. While the
system is a fluid at all densities for weak coupling, in the strong coupling
regime it transitions upon compression from a low density superfluid to a
crystal, and then into a reentrant superfluid phase. No evidence of a
(supersolid) cluster crystal phase is seen.


title:
Cellular Automata on Group Sets and the Uniform Curtis-Hedlund-Lyndon
  Theorem

abstract:
  We introduce cellular automata whose cell spaces are left homogeneous spaces
and prove a uniform as well as a topological variant of the
Curtis-Hedlund-Lyndon theorem. Examples of left homogeneous spaces are spheres,
Euclidean spaces, as well as hyperbolic spaces acted on by isometries;
vertex-transitive graphs, in particular, Cayley graphs, acted on by
automorphisms; groups acting on themselves by multiplication; and integer
lattices acted on by translations.


title: The Garden of Eden Theorem for Cellular Automata on Group Sets

abstract:
  We prove the Garden of Eden theorem for cellular automata with finite set of
states and finite neighbourhood on right amenable left homogeneous spaces with
finite stabilisers. It states that the global transition function of such an
automaton is surjective if and only if it is pre-injective. Pre-Injectivity
means that two global configurations that differ at most on a finite subset and
have the same image under the global transition function must be identical.


title: A Cold Flare With Delayed Heating

abstract:
  Recently, a number of peculiar flares have been reported, which demonstrate
significant non-thermal particle signatures with a low, if any, thermal
emission, that implies close association of the observed emission with the
primary energy release/electron acceleration region. This paper presents a
flare that appears a "cold" one at the impulsive phase, while displaying a
delayed heating later on. Using HXR data from \kw, microwave observations by
SSRT, RSTN, NoRH and NoRP, context observations, and 3D modeling, we study the
energy release, particle acceleration and transport, and the relationships
between the nonthermal and thermal signatures. The flaring process is found to
involve interaction between a small and a big loop and the accelerated
particles divided in roughly equal numbers between them. Precipitation of the
electrons from the small loop produced only weak thermal response because the
loop volume was small, while the electrons trapped in the big loop lost most of
their energy in the coronal part of the loop, which resulted in the coronal
plasma heating but no or only weak chromospheric evaporation, and thus
unusually weak soft X-ray emission. Energy losses of fast electrons in the big
tenuous loop were slow resulting in the observed delay of the plasma heating.
We determined that the impulsively accelerated electron population had a beamed
angular distribution in the direction of electric force along the magnetic
field of the small loop. The accelerated particle transport in big loop was
primarily mediated by turbulent waves like in the other reported cold flares.


title:
Superconductivity of Ta34Nb33Hf8Zr14Ti11 high entropy alloy from first
  principles calculations

abstract:
  The Korringa-Kohn-Rostoker method with the coherent potental approximation
(KKR-CPA) is applied to study the first superconducting high entropy alloy
(HEA) Ta34Nb33Hf8Zr14Ti11 (discovered in 2014 with Tc = 7.3 K), focusing on
estimations of the electron-phonon coupling constant \lambda. Electronic part
of \lambda has been calculated using the rigid muffin-tin approximation (RMTA),
while the phonon part has been approximated using average atomic mass and
experimental Debye temperature. The estimated \lambda = 1.16 is close to the
value determined from specific heat measurements, \lambda = 0.98, and suggests
rather strong electron-phonon coupling in this material.


title:
Performance and Degradation of A Lithium-Bromine Rechargeable Fuel Cell
  Using Highly Concentrated Catholytes

abstract:
  Lithium-air batteries have been considered as ultimate solutions for the
power source of long-range electrified transportation, but state-of-the-art
prototypes still suffer from short cycle life, low efficiency and poor power
output. Here, a lithium-bromine rechargeable fuel cell using highly
concentrated bromine catholytes is demonstrated with comparable specific
energy, improved power density, and higher efficiency. The cell is similar in
structure to a hybrid-electrolyte Li-air battery, where a lithium metal anode
in nonaqueous electrolyte is separated from aqueous bromine catholytes by a
lithium-ion conducting ceramic plate. The cell with a flat graphite electrode
can discharge at a peak power density around 9mW cm-2 and in principle could
provide a specific energy of 791.8 Wh kg-1, superior to most existing cathode
materials and catholytes. It can also run in regenerative mode to recover the
lithium metal anode and free bromine with 80-90% voltage efficiency, without
any catalysts. Degradation of the solid electrolyte and the evaporation of
bromine during deep charging are challenges that should be addressed in
improved designs to fully exploit the high specific energy of liquid bromine.
The proposed system offers a potential power source for long-range electric
vehicles, beyond current Li-ion batteries yet close to envisioned Li-air
batteries.


title:
Learning the LMP-Load Coupling From Data: A Support Vector Machine Based
  Approach

abstract:
  This paper investigates the fundamental coupling between loads and locational
marginal prices (LMPs) in security-constrained economic dispatch (SCED).
Theoretical analysis based on multi-parametric programming theory points out
the unique one-to-one mapping between load and LMP vectors. Such one-to-one
mapping is depicted by the concept of system pattern region (SPR) and
identifying SPRs is the key to understanding the LMP-load coupling. Built upon
the characteristics of SPRs, the SPR identification problem is modeled as a
classification problem from a market participant's viewpoint, and a Support
Vector Machine based data-driven approach is proposed. It is shown that even
without the knowledge of system topology and parameters, the SPRs can be
estimated by learning from historical load and price data. Visualization and
illustration of the proposed data-driven approach are performed on a 3-bus
system as well as the IEEE 118-bus system.


title: Post Selection Shrinkage Estimation for High Dimensional Data Analysis

abstract:
  In high-dimensional data settings where $p\gg n$, many penalized
regularization approaches were studied for simultaneous variable selection and
estimation. However, with the existence of covariates with weak effect, many
existing variable selection methods, including Lasso and its generations,
cannot distinguish covariates with weak and no contribution. Thus, prediction
based on a subset model of selected covariates only can be inefficient. In this
paper, we propose a post selection shrinkage estimation strategy to improve the
prediction performance of a selected subset model. Such a post selection
shrinkage estimator (PSE) is data-adaptive and constructed by shrinking a post
selection weighted ridge estimator in the direction of a selected candidate
subset. Under an asymptotic distributional quadratic risk criterion, its
prediction performance is explored analytically. We show that the proposed post
selection PSE performs better than the post selection weighted ridge estimator.
More importantly, it improves the prediction performance of any candidate
subset model selected from most existing Lasso-type variable selection methods
significantly. The relative performance of the post selection PSE is
demonstrated by both simulation studies and real data analysis.


title: Random Tensors and Quantum Gravity

abstract:
  We provide an informal introduction to tensor field theories and to their
associated renormalization group. We focus more on the general motivations
coming from quantum gravity than on the technical details. In particular we
discuss how asymptotic freedom of such tensor field theories gives a concrete
example of a natural "quantum relativity" postulate: physics in the deep
ultraviolet regime becomes asymptotically more and more independent of any
particular choice of Hilbert basis in the space of states of the universe.


title:
Spatial Global Sensitivity Analysis of High Resolution classified
  topographic data use in 2D urban flood modelling

abstract:
  This paper presents a spatial Global Sensitivity Analysis (GSA) approach in a
2D shallow water equations based High Resolution (HR) flood model. The aim of a
spatial GSA is to produce sensitivity maps which are based on Sobol index
estimations. Such an approach allows to rank the effects of uncertain HR
topographic data input parameters on flood model output. The influence of the
three following parameters has been studied: the measurement error, the level
of details of above-ground elements representation and the spatial
discretization resolution. To introduce uncertainty, a Probability Density
Function and discrete spatial approach have been applied to generate 2, 000
DEMs. Based on a 2D urban flood river event modelling, the produced sensitivity
maps highlight the major influence of modeller choices compared to HR
measurement errors when HR topographic data are used, and the spatial
variability of the ranking. Highlights $\bullet$ Spatial GSA allowed the
production of Sobol index maps, enhancing the relative weight of each uncertain
parameter on the variability of calculated output parameter of interest. 1
$\bullet$ The Sobol index maps illustrate the major influence of the modeller
choices, when using the HR topographic data in 2D hydraulic models with respect
to the influence of HR dataset accuracy. $\bullet$ Added value is for modeller
to better understand limits of his model. $\bullet$ Requirements and limits for
this approach are related to subjectivity of choices and to computational cost.


title:
Radially bounded solutions of a $k$-Hessian equation involving a
  weighted nonlinear source

abstract:
  We consider the problem \begin{equation}(1)\;\;\; \begin{cases} S_k(D^2u)=
\lambda |x|^{\sigma} (1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\
u=0 &\mbox{on }\partial B, \end{cases} \end{equation} where $B$ denotes the
unit ball in $\mathbb{R}^n$, $n>2k$ ($k\in \mathbb{N}$), $\lambda>0$, $q > k$
and $\sigma\geq 0$. We study the existence, uniqueness and multiplicity of
negative bounded radially symmetric solutions of (1). The methodology to obtain
our results is based on a dynamical system approach. For this, we introduce a
new transformation which reduces problem (1) to an autonomous two dimensional
generalized Lotka-Volterra system.


title: Properties of Robinson--Trautman solution with scalar hair

abstract:
  An explicit Robinson--Trautman solution with minimally coupled free scalar
field was derived and analyzed recently. It was shown that this solution
possesses a curvature singularity which is initially naked but later enveloped
by a horizon. However, this study concentrated on the general branch of the
solution where all free constants are nonzero. Interesting special cases arise
when some of the parameters are set to zero. In most of these cases the scalar
field is still present. One of the cases is a static solution which represents
a parametric limit of the Janis--Newman--Winicour scalar field spacetime.
Additionally, we provide a calculation of the Bondi mass which clarifies the
interpretation of the general solution. Finally, by a complex rotation of a
parameter describing the strength of the scalar field we obtain a dynamical
wormhole solution.