title:
A Fast First-Order Optimization Approach to Elastoplastic Analysis of
  Skeletal Structures

abstract:
  It is classical that, when the small deformation is assumed, the incremental
analysis problem of an elastoplastic structure with a piecewise-linear yield
condition and a linear strain hardening model can be formulated as a convex
quadratic programming problem. Alternatively, this paper presents a different
formulation, an unconstrained nonsmooth convex optimization problem, and
proposes to solve it with an accelerated gradient-like method. Specifically, we
adopt an accelerated proximal gradient method, that has been developed for a
regularized least squares problem. Numerical experiments show that the
presented algorithm is effective for large-scale elastoplastic analysis. Also,
a simple warm-start strategy can speed up the algorithm when the path-dependent
incremental analysis is carried out.


title: Reliability and reproducibility of Atlas information

abstract:
  We discuss the reliability and reproducibility of much of the information
contained in the Atlas of Finite Groups.


title: Parkable convex sets and finite-dimensional Hilbert spaces

abstract:
  A subset of a convex body $B$ containing the origin in a Euclidean space is
{\it parkable in $B$} if it can be translated inside $B$ in such a manner that
the translate the origin. We provide characterizations of ellipsoids and of
centrally symmetric convex bodies in Euclidean spaces of dimension $\ge 3$
based on the notion of parkability, answering several questions posed by G.
Bergman.
  The techniques used, which are based on characterizations of Hilbert spaces
among finite-dimensional Banach spaces in terms of their lattices of subspaces
and algebras of endomorphisms, also apply to improve a result of W. Blaschke
characterizing ellipsoids in terms of boundaries of illumination.


title:
Scalable SUM-Shrinkage Schemes for Distributed Monitoring Large-Scale
  Data Streams

abstract:
  In this article, motivated by biosurveillance and censoring sensor networks,
we investigate the problem of distributed monitoring large-scale data streams
where an undesired event may occur at some unknown time and affect only a few
unknown data streams. We propose to develop scalable global monitoring schemes
by parallel running local detection procedures and by combining these local
procedures together to make a global decision based on SUM-shrinkage
techniques. Our approach is illustrated in two concrete examples: one is the
nonhomogeneous case when the pre-change and post-change local distributions are
given, and the other is the homogeneous case of monitoring a large number of
independent $N(0,1)$ data streams where the means of some data streams might
shift to unknown positive or negative values. Numerical simulation studies
demonstrate the usefulness of the proposed schemes.


title: Rotation of slender swimmers in isotropic-drag media

abstract:
  The drag anisotropy of slender filaments is a critical physical property
allowing swimming in low-Reynolds number flows, and without it linear
translation is impossible. Here we show that, in contrast, net rotation can
occur under isotropic drag. We first demonstrate this result formally by
considering the consequences of the force- and torque-free conditions on
swimming bodies and we then illustrate it with two examples (a simple swimmers
made of three rods and a model bacterium with two helical flagellar filaments).
Our results highlight the different role of hydrodynamic forces in generating
translational vs.~rotational propulsion.


title: Nonlinear electron emission under the action of ultrashort laser pulse

abstract:
  The process of nonlinear electron emission from a metal surface under the
action of femtosecond laser pulse with moderate intensity
$\sim10^{11}$~W/cm$^2$ is considered. One-dimensional model is formulated,
taking into account the advantage of the $p$-polarized light in the nonlinear
emission. The time dependent Schrodinger equation with fixed equilibrium
boundary conditions is solved in the half-space using the Laplace transform
technique. The energy spectrum of emitted electrons is obtained, and its
dependence on the laser pulse parameters in compare with experimental data is
discussed.


title:
Locating a Phylogenetic Tree in a Reticulation-Visible Network in
  Quadratic Time

abstract:
  In phylogenetics, phylogenetic trees are rooted binary trees, whereas
phylogenetic networks are rooted arbitrary acyclic digraphs. Edges are directed
away from the root and leaves are uniquely labeled with taxa in phylogenetic
networks. For the purpose of validating evolutionary models, biologists check
whether or not a phylogenetic tree is contained in a phylogenetic network on
the same taxa. This tree containment problem is known to be NP-complete. A
phylogenetic network is reticulation-visible if every reticulation node
separates the root of the network from some leaves. We answer an open problem
by proving that the problem is solvable in quadratic time for
reticulation-visible networks. The key tool used in our answer is a powerful
decomposition theorem. It also allows us to design a linear-time algorithm for
the cluster containment problem for networks of this type and to prove that
every galled network with n leaves has 2(n-1) reticulation nodes at most.


title: Deuteron Stripping on Nuclei at Intermediate Energies

abstract:
  A general analytical expression for the double differential cross section of
inclusive deuteron stripping reaction on nuclei at intermediate energies of
incident particles was obtained in the diffraction approximation.
Nucleon-nucleus phases were calculated in the framework of Glauber formalism
and making use of the double-folding potential. The exact wave function of
deuteron with correct asymptotics at short and long distances between nucleons
was used. The calculated angular dependencies of cross sections are in good
agreement with corresponding experimental data.


title: On a Search for Hidden Photon CDM by a Multi-Cathode Counter

abstract:
  We report on a new technique of a Multi-Cathode Counter (MCC) developed to
search for hidden photon (HP) cold dark matter (CDM) with a mass from 5 to 500
eV. The method is suggested in the assumption that HP-photon mixing causes
emission of single electrons from a metal cathode if the mass of hidden photon
is greater than a work function of the metal. The measured effect from HP
should be dependent on work function of the metal and on the structure of
electronic shells of the metal used as a cathode. Potentially this can be used
for a verification of the results obtained. Some preliminary results for the
upper limit for mixing parameter X have been obtained for HP with a mass from 5
eV to 10 keV as a pure illustration of the potential of this technique. The
efforts are continued to refine the procedure of data treatment and to improve
the work of MCC. A new detector with a more developed design is under
construction.


title: The Atoms Of Space, Gravity and the Cosmological Constant

abstract:
  I describe an approach which connects classical gravity with the quantum
microstructure of spacetime. The field equations arise from maximizing the
density of states of matter plus geometry. The former is identified using the
thermodynamics of null surfaces while the latter arises due to the existence of
a zero-point length in the spacetime. The resulting field equations remain
invariant when a constant is added to the matter Lagrangian, which is a
symmetry of the matter sector. Therefore, the cosmological constant arises as
an integration constant. A non-zero value $(\Lambda)$ of the cosmological
constant renders the amount of cosmic information $(I_c)$ accessible to an
eternal observer finite and hence is directly related to it. This relation
allows us to determine the numerical value of $(\Lambda)$ from the quantum
structure of spacetime.


title: Efficiency of Dopant-Induced Ignition of Helium Nanoplasmas

abstract:
  Helium nanodroplets irradiated by intense near-infrared laser pulses ignite
and form highly ionized nanoplasmas even at laser intensities where helium is
not directly ionized by the optical field, provided the droplets contain a few
dopant atoms. We present a combined theoretical and experimental study of the
He nanoplasma ignition dynamics for various dopant species. We find that the
efficiency of dopants to ignite a nanoplasma in helium droplets strongly varies
and mostly depends on (i) the pick-up process, (ii) the number of free
electrons each dopant donates upon ionization, and remarkably, (iii) by the
hitherto unexplored effect of the dopant location in or on the droplet.


title: New congruences for $\ell$-regular overpartitions

abstract:
  Recently, Shen (2016) and Alanazi et al. (2016) studied the arithmetic
properties of the $\ell$-regular overpartition function $\overline{A}_\ell
(n)$, which counts the number of overpartitions of $n$ into parts not divisible
by $\ell$. In this note, we will present some new congruences modulo $5$ when
$\ell$ is a power of $5$.


title: Regret Analysis of the Anytime Optimally Confident UCB Algorithm

abstract:
  I introduce and analyse an anytime version of the Optimally Confident UCB
(OCUCB) algorithm designed for minimising the cumulative regret in finite-armed
stochastic bandits with subgaussian noise. The new algorithm is simple,
intuitive (in hindsight) and comes with the strongest finite-time regret
guarantees for a horizon-free algorithm so far. I also show a finite-time lower
bound that nearly matches the upper bound.


title:
Probing modified gravity via the mass-temperature relation of galaxy
  clusters

abstract:
  We propose that the mass-temperature relation of galaxy clusters is a prime
candidate for testing gravity theories beyond Einstein's general relativity,
for modified gravity models with universal coupling between matter and the
scalar field. For non-universally coupled models we discover that the impact of
modified gravity can remain hidden from the mass-temperature relation. Using
cosmological simulations, we find that in modified gravity the mass-temperature
relation varies significantly from the standard gravity prediction of $M
\propto T^{1.73}$. To be specific, for symmetron models with a coupling factor
of $\beta=1$ we find a lower limit to the power law as $M\propto T^{1.6}$; and
for f(R) gravity we compute predictions based on the model parameters. We show
that the mass-temperature relation, for screened modified gravities, is
significantly different from that of standard gravity for the less massive and
colder galaxy clusters, while being indistinguishable from Einstein's gravity
at massive, hot galaxy clusters. We further investigate the mass-temperature
relation for other mass estimates than the thermal mass estimate, and discover
that the gas mass-temperature results show an even more significant deviations
from Einstein's gravity than the thermal mass-temperature.


title: On formulae decoupling the total variation of BV functions

abstract:
  In this paper we prove several formulae that enable one to capture the
singular portion of the measure derivative of a function of bounded variation
as a limit of non-local functionals. One special case shows that rescalings of
the fractional Laplacian of a function $u\in SBV$ converge strictly to the
singular portion of $Du$.


title:
Learning for Robust Routing Based on Stochastic Game in Cognitive Radio
  Networks

abstract:
  This paper studies the problem of robust spectrum-aware routing in a
multi-hop, multi-channel Cognitive Radio Network (CRN) with the presence of
malicious nodes in the secondary network. The proposed routing scheme models
the interaction among the Secondary Users (SUs) as a stochastic game. By
allowing the backward propagation of the path utility information from the
next-hop nodes, the stochastic routing game is decomposed into a series of
stage games. The best-response policies are learned through the process of
smooth fictitious play, which is guaranteed to converge without flooding of the
information about the local utilities and behaviors. To address the problem of
mixed insider attacks with both routing-toward-primary and sink-hole attacks,
the trustworthiness of the neighbor nodes is evaluated through a multi-arm
bandit process for each SU. The simulation results show that the proposed
routing algorithm is able to enforce the cooperation of the malicious SUs and
reduce the negative impact of the attacks on the routing selection process.


title: Scalar and tensor perturbation in vacuum inflation

abstract:
  Recently, it was proposed that a small true vacuum universe can inflate
spontaneously, in principle. Furthermore, there should be matter creation in
vacuum inflation due to quantum fluctuations, and the matter created will
influence the inflation simultaneously. In this paper, scalar and tensor
perturbations in this model are analyzed and confronted with recent
observations. These perturbations are derived and expressed with Hubble
flow-functions. By comparing our calculations with experimental results, we can
determine all the parameters in this model. Finally, with the determined
parameters, we compute the evolution of the matter density and show that the
matter produced in inflation roughly fits the observations at present.


title: Ni\'epce-Bell or Turing: How to Test Odor Reproduction?

abstract:
  In a 1950 article in Mind, decades before the existence of anything
resembling an artificial intelligence system, Alan Turing addressed the
question of how to test whether machines can think, or in modern terminology,
whether a computer claimed to exhibit intelligence indeed does so. The current
paper raises the analogous issue for olfaction: how to test the validity of a
system claimed to reproduce arbitrary odors artificially, in a way recognizable
to humans, in face of the unavailability of a general naming method for odors.
Although odor reproduction systems are still far from being viable, the
question of how to test candidates thereof is claimed to be interesting and
nontrivial, and a novel method is proposed. To some extent, the method is
inspired by Turing`s test for AI, in that it involves a human challenger and
the real and artificial entities, yet it is very different: our test is
conditional, requiring from the artificial no more than is required from the
original, and it employs a novel method of immersion that takes advantage of
the availability of near-perfect reproduction methods for sight and sound.


title:
van der Waals-corrected Density Functional Theory simulation of
  adsorption processes on noble-metal surfaces: Xe on Ag(111), Au(111), and
  Cu(111)

abstract:
  The DFT/vdW-WF2s1 method based on the generation of localized Wannier
functions, recently developed to include the van der Waals interactions in the
Density Functional Theory and describe adsorption processes on metal surfaces
by taking metal-screening effects into account, is applied to the case of the
interaction of Xe with noble-metal surfaces, namely Ag(111), Au(111), and
Cu(111). The study is also repeated by adopting the DFT/vdW-QHO-WF variant
relying on the Quantum Harmonic Oscillator model which describes well many-body
effects. Comparison of the computed equilibrium binding energies and distances,
and the $C_3$ coefficients characterizing the adatom-surface van der Waals
interactions, with available experimental and theoretical reference data shows
that the methods perform well and elucidate the importance of properly
including screening effects. The results are also compared with those obtained
by other vdW-corrected DFT schemes, including PBE-D, vdW-DF, vdW-DF2, rVV10,
and by the simpler Local Density Approximation (LDA) and semilocal (PBE)
Generalized Gradient Approximation (GGA) approaches.


title:
Cohesive properties of noble metals by van der Waals-corrected Density
  Functional Theory

abstract:
  The cohesive energy, equilibrium lattice constant, and bulk modulus of noble
metals are computed by different van der Waals-corrected Density Functional
Theory methods, including vdW-DF, vdW-DF2, vdW-DF-cx, rVV10 and PBE-D. Two
specifically-designed methods are also developed in order to effectively
include dynamical screening effects: the DFT/vdW-WF2p method, based on the
generation of Maximally Localized Wannier Functions, and the RPAp scheme (in
two variants), based on a single-oscillator model of the localized electron
response. Comparison with results obtained without explicit inclusion of van
der Waals effects, such as with the LDA, PBE, PBEsol, or the hybrid PBE0
functional, elucidates the importance of a suitable description of screened van
der Waals interactions even in the case of strong metal bonding. Many-body
effects are also quantitatively evaluated within the RPAp approach.


title: Adsorption of NO2 on WSe2: DFT and photoelectron spectroscopy studies

abstract:
  The electronic structure modifications of WSe2 upon NO2-adsorption at room
and low temperatures were studied by means of photoelectron spectroscopy. We
found only moderate changes in the electronic structure, which are manifested
as an upward shift of the WSe2-related bands to the smaller binding energies.
The observed effects are modelled within the density functional theory
approach, where a weak adsorption energy of gas molecules on the surface of
WSe2 was deduced. The obtained experimental data are explained as a valence
bands polarisation effect, which causes their energy shift depending on the
adsorption geometry and the formed dipole moment.


title: Using radio stars to link the Gaia and VLBI reference frames

abstract:
  A possible method for linking the optical Gaia Celestial Reference Frame
(GCRF) to the VLBI-based International Celestial Reference Frame (ICRF) is to
use radio stars in a manner similar to that in the linking of the Hipparcos
Celestial Reference Frame (HCRF) to ICRF. In this work, an obtainable accuracy
of the orientation angles between GCRF and ICRF frames was estimated by Monte
Carlo simulation. If the uncertainties in the radio star positions obtained by
VLBI are in the range of 0.1-4 mas and those obtained by Gaia are in the range
of 0.005-0.4 mas, the orientation angle uncertainties are 0.018-0.72 mas if 46
radio stars are used, 0.013-0.51 mas if 92 radio stars are used, and
0.010-0.41~mas if 138 radio stars are used. The general conclusion from this
study is that a properly organized VLBI programme for radio star observation
with a reasonable load on the VLBI network can allow for the realization of
GCRF-ICRF link with an error of about 0.1 mas.


title: A preliminary study of the RR Lyrae stars observed in K2 Campaign 3

abstract:
  We have started a comprehensive analysis of the Kepler K2 Field 3 data set.
Our goals are to assess the statistics of the sample, and to search for
peculiar stars. We found a candidate triple-mode RRab star, where the first and
ninth overtones also seem to be excited.


title:
Suppression of parallel transport in turbulent magnetized plasmas and
  its impact on non-thermal and thermal aspects of solar flares

abstract:
  The transport of the energy contained in electrons, both thermal and
suprathermal, in solar flares plays a key role in our understanding of many
aspects of the flare phenomenon, from the spatial distribution of hard X-ray
emission to global energetics. Motivated by recent {\em RHESSI} observations
that point to the existence of a mechanism that confines electrons to the
coronal parts of flare loops more effectively than Coulomb collisions, we here
consider the impact of pitch-angle scattering off turbulent magnetic
fluctuations on the parallel transport of electrons in flaring coronal loops.
It is shown that the presence of such a scattering mechanism in addition to
Coulomb collisional scattering can significantly reduce the parallel thermal
and electrical conductivities relative to their collisional values. We provide
illustrative expressions for the resulting thermoelectric coefficients that
relate the thermal flux and electrical current density to the temperature
gradient and the applied electric field. We then evaluate the effect of these
modified transport coefficients on the flare coronal temperature that can be
attained, on the post-impulsive-phase cooling of heated coronal plasma, and on
the importance of the beam-neutralizing return current on both ambient heating
and the energy loss rate of accelerated electrons. We also discuss the possible
ways in which anomalous transport processes have an impact on the required
overall energy associated with accelerated electrons in solar flares.


title:
Multiplexing Precision RVs: Searching for Close in Gas Giants in Open
  Clusters

abstract:
  We present a multiplexed, high-resolution (R~50,000 median) spectroscopic
survey designed to detect exoplanet candidates in two southern star clusters
(NGC 2516 and NGC 2422) using the Michigan/Magellan Fiber System (M2FS) on the
Magellan/Clay telescope at Las Campanas Observatory. With 128 available fibers
in our observing mode, we are able to target every star in the core half-degree
of each cluster that could plausibly be a solar-analog member. Our
template-based spectral fits provide precise measurements of fundamental
stellar properties - $T_{eff}$ ($\pm$30 K), [Fe/H] and [$\alpha$/Fe] ($\pm$0.02
dex), and $v_r\sin(i)$ ($\pm$0.3 km/s) - and radial velocities (RVs) by using
telluric absorption features from 7160 to 7290 $\AA$ as a wavelength reference
for 251 mid-F to mid-K stars (126 in NGC 2516 and 125 in NGC 2422) that
comprise our survey. In each cluster we have obtained ~10-12 epochs of our
targets. Using repeat observations of an RV standard star we show our approach
can attain a single-epoch velocity precision of 25 m/s to 60 m/s over a broad
range of S/N throughout our observational baseline of 1.1 years. Our technique
is suitable for non-rapidly rotating stars cooler than mid-F. In this paper we
describe our observational sample, analysis methodology, and present a detailed
study of the attainable precision and measurement capabilities of our approach.
Subsequent papers will provide results for stars observed in the target
clusters, analyze our dataset of RV time-series for stellar jitter and stellar
and sub-stellar companions, and consider the implications of our findings on
the clusters themselves.


title: After Bell

abstract:
  We analyze foundational consequences of recently announced loophole free
tests of violation of Bell's inequality. We consider two interpretations of
these remarkable experiments. By the conventional one "Einstein was wrong and
Bohr was right, there is spooky action at a distance, quantum realism is
incompatible with locality." However, we show that it is still possible to
treat quantum mechanics without appealing to nonlocality or denying realism. We
hope that this note will attract attention of the experts in quantum
foundations and convince them to come with their own comments on the final
Bell's test.


title: Quantum Recommendation Systems

abstract:
  A recommendation system uses the past purchases or ratings of $n$ products by
a group of $m$ users, in order to provide personalized recommendations to
individual users. The information is modeled as an $m \times n$ preference
matrix which is assumed to have a good rank-$k$ approximation, for a small
constant $k$.
  In this work, we present a quantum algorithm for recommendation systems that
has running time $O(\text{poly}(k)\text{polylog}(mn))$. All known classical
algorithms for recommendation systems that work through reconstructing an
approximation of the preference matrix run in time polynomial in the matrix
dimension. Our algorithm provides good recommendations by sampling efficiently
from an approximation of the preference matrix, without reconstructing the
entire matrix. For this, we design an efficient quantum procedure to project a
given vector onto the row space of a given matrix. This is the first algorithm
for recommendation systems that runs in time polylogarithmic in the dimensions
of the matrix and provides an example of a quantum machine learning algorithm
for a real world application.


title: Rapidity fluctuations in the initial state

abstract:
  We analyze two-particle pseudorapidity correlations in a simple model, where
strings of fluctuating length are attached to wounded nucleons.The obtained
straightforward formulas allow us to understand the anatomy of the
correlations, i.e., to identify the component due to the fluctuation of the
number of wounded nucleons and the contribution from the string length
fluctuations. Our results reproduce qualitatively and semiquantitatively the
basic features of the recent correlation measurements at the LHC.


title:
Static transport properties of random alloys: vertex corrections in
  conserving approximations

abstract:
  The theoretical formulation and numerical evaluation of the vertex
corrections in multiorbital techniques of theories of electronic properties of
random alloys are analyzed. It is shown that current approaches to static
transport properties within the so-called conserving approximations lead to the
inversion of a singular matrix as a direct consequence of the Ward identity
relating the vertex corrections to one-particle self-energies. We propose a
simple removal of the singularity for quantities (operators) with vanishing
average values for electron states at the Fermi energy, such as the velocity or
the spin torque; the proposed scheme is worked out in details in the
self-consistent Born approximation and the coherent potential approximation.
Applications involve calculations of the residual resistivity for various
random alloys, including spin-polarized and relativistic systems, treated on an
ab initio level, with particular attention paid to the role of different
symmetries (inversion of space and time).


title: Instance-sensitive Fully Convolutional Networks

abstract:
  Fully convolutional networks (FCNs) have been proven very successful for
semantic segmentation, but the FCN outputs are unaware of object instances. In
this paper, we develop FCNs that are capable of proposing instance-level
segment candidates. In contrast to the previous FCN that generates one score
map, our FCN is designed to compute a small set of instance-sensitive score
maps, each of which is the outcome of a pixel-wise classifier of a relative
position to instances. On top of these instance-sensitive score maps, a simple
assembling module is able to output instance candidate at each position. In
contrast to the recent DeepMask method for segmenting instances, our method
does not have any high-dimensional layer related to the mask resolution, but
instead exploits image local coherence for estimating instances. We present
competitive results of instance segment proposal on both PASCAL VOC and MS
COCO.


title:
Probing Models of Dirac Neutrino Masses via the Flavor Structure of the
  Mass Matrix

abstract:
  We classify models of the Dirac neutrino mass by concentrating on flavor
structures of the mass matrix. The advantage of our classification is that we
do not need to specify detail of models except for Yukawa interactions because
flavor structures can be given only by products of Yukawa matrices. All
possible Yukawa interactions between leptons (including the right-handed
neutrino) are taken into account by introducing appropriate scalar fields. We
also take into account the case with Yukawa interactions of leptons with the
dark matter candidate. Then, we see that flavor structures can be classified
into seven groups. The result is useful for the efficient test of models of the
neutrino mass. One of seven groups can be tested by measuring the absolute
neutrino mass. Other two can be tested by probing the violation of the lepton
universality in $\ell \to \ell^\prime \nu \overline{\nu}$. In order to test the
other four groups, we can rely on searches for new scalar particles at collider
experiments.


title: Electron phase shift at the zero-bias anomaly of quantum point contacts

abstract:
  The Kondo effect is the many-body screening of a local spin by a cloud of
electrons at very low temperature. It has been proposed as an explanation of
the zero-bias anomaly in quantum point contacts where interactions drive a
spontaneous charge localization. However, the Kondo origin of this anomaly
remains under debate, and additional experimental evidence is necessary. Here
we report on the first phase-sensitive measurement of the zero-bias anomaly in
quantum point contacts using a scanning gate microscope to create an electronic
interferometer. We observe an abrupt shift of the interference fringes by half
a period in the bias range of the zero-bias anomaly, a behavior which cannot be
reproduced by single-particle models. We instead relate it to the phase shift
experienced by electrons scattering off a Kondo system. Our experiment
therefore provides new evidence of this many-body effect in quantum point
contacts.


title:
Measurement of the Higgs decay to electroweak bosons at low and
  intermediate CLIC energies

abstract:
  In this paper a simulation of measurements of the Higgs boson decay to
electroweak bosons in $e^+e^-$ collisions at CLIC is presented. Higgs boson
production and subsequent $H\rightarrow ZZ^\ast$ and $H\rightarrow WW^\ast$
decay processes were simulated alongside the relevant background processes at
350 GeV and 1.4 TeV center-of-mass energy. Full detector simulation and event
reconstruction were used under realistic beam conditions. The achievable
statistical precision of the measured product of the Higgs production cross
section and the branching ratio for the analysed decays has been determined.


title: Impact-induced melting during accretion of the Earth

abstract:
  Because of the high energies involved, giant impacts that occur during
planetary accretion cause large degrees of melting. The depth of melting in the
target body after each collision determines the pressure and temperature
conditions of metal-silicate equilibration and thus geochemical fractionation
that results from core-mantle differentiation. The accretional collisions
involved in forming the terrestrial planets of the inner Solar System have been
calculated by previous studies using N-body accretion simulations. Here we use
the output from such simulations to determine the volumes of melt produced and
thus the pressure and temperature conditions of metal-silicate equilibration,
after each impact, as Earth-like planets accrete. For these calculations a
parametrised melting model is used that takes impact velocity, impact angle and
the respective masses of the impacting bodies into account. The evolution of
metal-silicate equilibration pressures (as defined by evolving magma ocean
depths) during Earth's accretion depends strongly on the lifetime of
impact-generated magma oceans compared to the time interval between large
impacts. In addition, such results depend on starting parameters in the N-body
simulations, such as the number and initial mass of embryos. Thus, there is the
potential for combining the results, such as those presented here, with
multistage core formation models to better constrain the accretional history of
the Earth.


title:
Effect of Halide Composition on the Photochemical Stability of
  Perovskite Photovoltaic Materials

abstract:
  Photochemical stability of encapsulated films of mixed halide perovskites
with a range of MAPb(I1-xBrx)3 compositions (solid solutions) was investigated
under accelerated stressing using concentrated sunlight. Evolution of light
absorption and the corresponding structural modifications in the films were
recorded by UV-vis spectroscopy and X-ray diffraction (XRD), respectively.
MAPbBr3 film exhibited no degradation. In MAPbI3 and mixed halide
MAPb(I1-xBrx)3 films, decomposition of the perovskite material with
crystallization of inorganic PbI2, and the corresponding degradation of light
absorption, were recorded. Introduction of bromine into the solid solution was
found to stress its structure and accelerate the degradation. The relevance of
accelerated testing to standard operational conditions of solar cells was
confirmed by comparison to degradation experiments under outdoor sunlight
exposure. Reasons for the reduced stability of the mixed halide compositions
are discussed.


title: Universal metamaterial absorbe

abstract:
  We propose a design for an universal absorber, characterized by a resonance
frequency that can be tuned from visible to microwave frequencies independently
of the choice of the metal and the dielectrics involved. An almost resonant
perfect absorption up to 99.8 % is demonstrated at resonance for all
polarization states of light and for a very wide angular aperture. These
properties originate from a magnetic Fabry-Perot mode that is confined in a
dielectric spacer of $\lambda/100$ thickness by a metamaterial layer and a
mirror. An extraordinary large funneling through nano-slits explains how light
can be trapped in the structure. Simple scaling laws can be used as a recipe to
design ultra-thin perfect absorbers whatever the materials and the desired
resonance wavelength, making our design truly universal.


title:
Functional Inequalities for Non-Symmetric Stochastic Differential
  Equations

abstract:
  According to the theory of functional inequalities, a non-symmetric Markov
semigroup has better properties than the corresponding symmetric one. For
instance, there exist non-symmetric Markov semigroups which are
hypercontractive (and thus converge exponentially in both $L^2$ and entropy),
but the symmetric ones are even not ergodic. In this paper, we aim to search
for reasonable conditions to ensure that a non-symmetric Markov semigroup and
its symmetrization share the properties of exponential convergence, uniform
integrability, hypercontractivity, and supercontractivity. Since in the
symmetric case these properties are precisely characterized by functional
inequalities of the Dirichlet form, the key point of the study is to prove
these inequalities for non-symmetric Markov processes. SDEs driven by Brownian
motion or L\'evy jump process are investigated.


title:
On hard quadrature problems for marginal distributions of SDEs with
  bounded smooth coefficients

abstract:
  In recent work of Hairer, Hutzenthaler and Jentzen, see [9], a stochastic
differential equation (SDE) with infinitely often differentiable and bounded
coefficients was constructed such that the Monte Carlo Euler method for
approximation of the expected value of the first component of the solution at
the final time converges but fails to achieve a mean square error of a
polynomial rate. In the present paper we show that this type of bad performance
for quadrature of SDEs with infinitely often differentiable and bounded
coefficients is not a shortcoming of the Euler scheme in particular but can be
observed in a worst case sense for every approximation method that is based on
finitely many function values of the coefficients of the SDE. Even worse we
show that for any sequence of Monte Carlo methods based on finitely many
sequential evaluations of the coefficients and all their partial derivatives
and for every arbitrarily slow convergence speed there exists a sequence of
SDEs with infinitely often differentiable and bounded by one coefficients such
that the first order derivatives of all diffusion coefficients are bounded by
one as well and the first order derivatives of all drift coefficients are
uniformly dominated by a single real-valued function and such that the
corresponding sequence of mean absolute errors for approximation of the
expected value of the first component of the solution at the final time can not
converge to zero faster than the given speed.


title:
On the existence of coincidence and common fixed point of two rational
  type contractions and an application in dynamical programming

abstract:
  In this work, we establish some coincidence point results for self-mappings
satisfying rational type contractions in generalized metric spaces in the sense
of Branciari [7]. Presented coincidence point theorems weak and extend numerous
existing theorems in the literature besides furnishing some illustrative
examples for our results. Finally, our results applies, in particular, to the
study of solvability of functional equations arising in dynamic programming.


title:
Switching local magnetization by electric-field-induced domain wall
  motion

abstract:
  Electric field effect on magnetism is an appealing technique for manipulating
the magnetization at a low cost of energy. Here, we show that the local
magnetization of the ultra-thin Co film can be switched by just applying a gate
electric field without an assist of any external magnetic field or current
flow. The local magnetization switching is explained by the nucleation and
annihilation of the magnetic domain through the domain wall motion induced by
the electric field. Our results lead to external field free and ultra-low
energy spintronic applications.


title:
Sedimentation stacking diagrams of binary mixtures of thick and thin
  hard rods

abstract:
  We use Onsager theory and the local density approximation to study
sedimentation-diffusion equilibrium density profiles of binary mixtures of
thick and thin hard rods. We construct stacking diagrams for three diameter
ratios, and find that even a simple spindle-shaped phase diagram with only
isotropic-nematic demixing can lead to counter-intuitive stacking sequences
such as an isotropic phase sandwiched between two nematic phases. For the most
complex phase diagram considered here, we find sixteen distinct stacking
sequences, including several with five sedimented layers. By adding
sedimentation paths to composition-pressure and density-density phase diagrams
and calculating density and composition profiles, we show that conclusions
about bulk phase diagrams of binary mixtures on the basis of
sedimentation-diffusion equilibria should be drawn warily.


title: Direct Neutrino Mass Experiments and Exotic Charged Current Interactions

abstract:
  We study the effect of exotic charged current interactions on the electron
energy spectrum in tritium decay, focussing on the KATRIN experiment and a
possible modified setup that has access to the full spectrum. Both sub-eV and
keV neutrino masses are considered. We perform a fully relativistic calculation
and take all possible new interactions into account, demonstrating the possible
sizable distortions in the energy spectrum.


title: Amplitude and phase variation of point processes

abstract:
  We develop a canonical framework for the study of the problem of registration
of multiple point processes subjected to warping, known as the problem of
separation of amplitude and phase variation. The amplitude variation of a real
random function $\{Y(x):x\in[0,1]\}$ corresponds to its random oscillations in
the $y$-axis, typically encapsulated by its (co)variation around a mean level.
In contrast, its phase variation refers to fluctuations in the $x$-axis, often
caused by random time changes. We formalise similar notions for a point
process, and nonparametrically separate them based on realisations of i.i.d.
copies $\{\Pi_i\}$ of the phase-varying point process. A key element in our
approach is to demonstrate that when the classical phase variation assumptions
of Functional Data Analysis (FDA) are applied to the point process case, they
become equivalent to conditions interpretable through the prism of the theory
of optimal transportation of measure. We demonstrate that these induce a
natural Wasserstein geometry tailored to the warping problem, including a
formal notion of bias expressing over-registration. Within this framework, we
construct nonparametric estimators that tend to avoid over-registration in
finite samples. We show that they consistently estimate the warp maps,
consistently estimate the structural mean, and consistently register the warped
point processes, even in a sparse sampling regime. We also establish
convergence rates, and derive $\sqrt{n}$-consistency and a central limit
theorem in the Cox process case under dense sampling, showing rate optimality
of our structural mean estimator in that case.


title:
Elastic aging from coexistence and transformations of ferroelectric and
  antiferroelectric states in PZT

abstract:
  Materials undergoing antiferroelectric/ferroelectric (AFE/FE) transitions are
studied for possible applications that exploit the large volume, charge and
entropy differences between the two states, such as electrocaloric cooling,
energy storage, electromechanical actuators. Though certain compositions of PZT
codoped with La and Sn may withstand millions of electrically induced AFE/FE
cycles, in other cases few thermally induced cycles and room temperature aging
may cause noticeable changes in the material properties. This is particularly
evident in the elastic moduli, which at room temperature can become as much as
four times softer. In order to get more insight into the mechanisms involved in
such elastic aging and full recovering with mild annealing at 600-800 K, the
effect of La doping on PZT with 4.6% Ti is studied with anelastic measurements.
Complete suppression of the time dependent phenomena is found after the
transformation of the intermediate FE phase into incommensurate AFE by 2% La
doping. This is discussed in terms of disappearance of the stress and electric
fields at the FE/AFE interfaces, in the light of the thermally activated
anelastic relaxation processes that are observed at high temperature, and are
due to mobile defects, presumably O vacancies.


title: Global spectra, polytopes and stacky invariants

abstract:
  Given a convex polytope, we define its geometric spectrum, a stacky version
of Batyrev's stringy E-functions, and we prove a stacky version of a formula of
Libgober and Wood about the E-polynomial of a smooth projective variety. As an
application, we get a closed formula for the variance of the geometric spectrum
and a Noether's formula for two dimensional Fano polytopes (polytopes whose
vertices are primitive lattice points). We also show that this geometric
spectrum is equal to the algebraic spectrum of the polytope (the spectrum at
infinity of a tame Laurent polynomial whose Newton polytope is the polytope
alluded to). This gives an explanation and some positive answers to Hertling's
conjecture about the variance of the spectrum of tame regular functions.


title:
Critical phenomena in the extended phase space of Kerr-Newman-AdS black
  holes

abstract:
  Treating the cosmological constant as a thermodynamic pressure, we
investigate the critical behavior of a Kerr-Newman-AdS black hole system. The
critical points for the van der Waals like phase transition are numerically
solved. The highly accurate fitting formula for them is given and is found to
be dependent of the charge $Q$ and angular momentum $J$. In the reduced
parameter space, we find that the temperature, Gibbs free energy, and
coexistence curve depend only on the dimensionless angular momentum-charge
ratio $\epsilon=J/Q^2$ rather than $Q$ and $J$. Moreover, when varying
$\epsilon$ from 0 to $\infty$, the coexistence curve will continuously change
from that of the Reissner-Nordstr\"{o}m-AdS black hole to the Kerr-AdS black
hole. These results may guide us to study the critical phenomena for other
thermodynamic systems with two characteristic parameters.


title: Learning to Refine Object Segments

abstract:
  Object segmentation requires both object-level information and low-level
pixel data. This presents a challenge for feedforward networks: lower layers in
convolutional nets capture rich spatial information, while upper layers encode
object-level knowledge but are invariant to factors such as pose and
appearance. In this work we propose to augment feedforward nets for object
segmentation with a novel top-down refinement approach. The resulting
bottom-up/top-down architecture is capable of efficiently generating
high-fidelity object masks. Similarly to skip connections, our approach
leverages features at all layers of the net. Unlike skip connections, our
approach does not attempt to output independent predictions at each layer.
Instead, we first output a coarse `mask encoding' in a feedforward pass, then
refine this mask encoding in a top-down pass utilizing features at successively
lower layers. The approach is simple, fast, and effective. Building on the
recent DeepMask network for generating object proposals, we show accuracy
improvements of 10-20% in average recall for various setups. Additionally, by
optimizing the overall network architecture, our approach, which we call
SharpMask, is 50% faster than the original DeepMask network (under .8s per
image).


title: Enhanced tau neutrino appearance through invisible decay

abstract:
  The decay of neutrino mass eigenstates leads to a change of the conversion
and survival probability of neutrino flavor eigenstates. Remarkably, we find
that the neutrino decay provides an enhancement of the expected tau appearance
signal with respect to the standard oscillation scenario for the long-baseline
OPERA experiment. The increase of the $\nu_\mu \rightarrow \nu_\tau$ conversion
probability by the decay of one of the mass eigenstates is due to a reduction
of the "destructive interference" among the different massive neutrino
components. Motivated by the recently released results of the OPERA
Collaboration showing a number of observed $\nu_\tau$ events larger than
expected, we perform a statistical analysis including the invisible decay
hypothesis. We obtain a very mild preference for invisible decays, with a best
fit value $\tau_3/m_3 \simeq 2.6\times 10^{-13} $ s/eV, and a constraint at the
90$\%$ confidence level for the neutrino decay lifetime to be $\tau_3/m_3
\gtrsim 1.3\times 10^{-13}$ s/eV.


title:
Modeling Interference Between OFDM/OQAM and CP-OFDM: Limitations of the
  PSD-Based Model

abstract:
  To answer the challenges put out by the next generation of wireless networks
(5G), important research efforts have been undertaken during the last few years
to find new waveforms that are better spectrally localized and less sensitive
to asynchronism effects than the widely deployed Cyclic Prefix Orthogonal
Frequency Division Multiplexing (CP-OFDM). One of the most studied schemes is
OFDM-Offset Quadrature Amplitude Modulation (OFDM/OQAM) based on the PHYDYAS
filter pulse. In the recent literature, spectrum coexistence between OFDM/OQAM
and CP-OFDM is commonly studied based on the Power Spectral Density (PSD)
model. In this paper, we show that this approach is flawed and we show that the
actual interference injected by OFDM/OQAM systems onto CP-OFDM is much higher
than what is classically expected with the PSD based model in the literature.
We show that though using OFDM/OQAM in secondary systems is still advantageous,
it brings limited gain in the context of coexistence with incumbent CP-OFDM
systems.


title:
Validation of the multi-mission altimeter wave height data for the
  Baltic Sea region

abstract:
  We present a complete cross-validation of significant wave heights (SWH)
extracted from altimetry data from all ten existing satellites with available
in situ (buoy and echosounder) wave measurements for the Baltic Sea basin. The
main purpose is to select an adequate altimetry data subset for a subsequent
evaluation of the wave climate. The satellite measurements with the backscatter
coefficients > 13.5 cdb, errors in the SWH normalized standard deviation > 0.5
m and snapshots with centroids closer than 0.2 degrees to the land are not
reliable. The ice flag usually denotes the ice concentration of > 50%. The
presence of ice affects the SWH data starting from concentrations 10%, but
substantial effects are only evident for concentrations > 30%. The altimetry
data selected based on these criteria have very good correspondence with in
situ data, except for GEOSAT Phase 1 data (1985-1989) that could not be
validated. The root-mean-square difference of altimetry and in situ data is in
the range of 0.23-0.37, which is significant for the Baltic Sea, compared with
an average wave height of ~1 m. The bias for CRYOSAT-2, ERS-2, JASON-1/2 and
SARAL data is below 0.06 m. The ENVISAT, ERS-1, GEOSAT and TOPEX satellites
revealed larger biases up to 0.23 m. The SWH time series from several satellite
pairs (ENVISAT/JASON-1, SARAL/JASON-2, ERS-1/TOPEX) exhibit substantial mutual
temporal drift and part of them evidently are not homogeneous in time. A new
high-resolution SWH data set from the SARAL satellite reveals a very good
correspondence with the in situ data and with the data stream from previous
satellites.


title: Baire theorem for ideals of sets

abstract:
  We study ideals $\mathcal{I}$ on $\mathbb{N}$ satisfying the following
Baire-type property: if $X$ is a complete metric space and $\{X_{A} \colon A
\in \mathcal{I} \}$ is a family of nowhere dense subsets of $X$ with $X_{A}
\subset X_{B}$ whenever $A \subset B$, then $\bigcup_{A \in \mathcal{I}}{X_{A}}
\neq X$. We give several characterizations and determine the ideals having this
property among certain classes like analytic ideals and P-ideals. We also
discuss similar covering properties when considering families of compact and
meager subsets of $X$.


title:
Disentangling nonradiative recombination processes in Ge micro-crystals
  on Si substrates

abstract:
  We address nonradiative recombination pathways by leveraging surface
passivation and dislocation management in micron-scale arrays of Ge crystals
grown on deeply patterned Si substrates. The time decay photoluminescence (PL)
at cryogenic temperatures discloses carrier lifetimes approaching 45 ns in
band-gap engineered Ge micro-crystals. This investigation provides compelling
information about the competitive interplay between the radiative band-edge
transitions and the trapping of carriers by dislocations and free surfaces.
Furthermore, an in-depth analysis of the temperature dependence of the PL,
combined with capacitance data and finite difference time domain modeling,
demonstrates the effectiveness of GeO2 in passivating the surface of Ge and
thus in enhancing the room temperature PL emission.


title:
What a Nerd! Beating Students and Vector Cosine in the ESL and TOEFL
  Datasets

abstract:
  In this paper, we claim that Vector Cosine, which is generally considered one
of the most efficient unsupervised measures for identifying word similarity in
Vector Space Models, can be outperformed by a completely unsupervised measure
that evaluates the extent of the intersection among the most associated
contexts of two target words, weighting such intersection according to the rank
of the shared contexts in the dependency ranked lists. This claim comes from
the hypothesis that similar words do not simply occur in similar contexts, but
they share a larger portion of their most relevant contexts compared to other
related words. To prove it, we describe and evaluate APSyn, a variant of
Average Precision that, independently of the adopted parameters, outperforms
the Vector Cosine and the co-occurrence on the ESL and TOEFL test sets. In the
best setting, APSyn reaches 0.73 accuracy on the ESL dataset and 0.70 accuracy
in the TOEFL dataset, beating therefore the non-English US college applicants
(whose average, as reported in the literature, is 64.50%) and several
state-of-the-art approaches.


title: Nine Features in a Random Forest to Learn Taxonomical Semantic Relations

abstract:
  ROOT9 is a supervised system for the classification of hypernyms, co-hyponyms
and random words that is derived from the already introduced ROOT13 (Santus et
al., 2016). It relies on a Random Forest algorithm and nine unsupervised
corpus-based features. We evaluate it with a 10-fold cross validation on 9,600
pairs, equally distributed among the three classes and involving several
Parts-Of-Speech (i.e. adjectives, nouns and verbs). When all the classes are
present, ROOT9 achieves an F1 score of 90.7%, against a baseline of 57.2%
(vector cosine). When the classification is binary, ROOT9 achieves the
following results against the baseline: hypernyms-co-hyponyms 95.7% vs. 69.8%,
hypernyms-random 91.8% vs. 64.1% and co-hyponyms-random 97.8% vs. 79.4%. In
order to compare the performance with the state-of-the-art, we have also
evaluated ROOT9 in subsets of the Weeds et al. (2014) datasets, proving that it
is in fact competitive. Finally, we investigated whether the system learns the
semantic relation or it simply learns the prototypical hypernyms, as claimed by
Levy et al. (2015). The second possibility seems to be the most likely, even
though ROOT9 can be trained on negative examples (i.e., switched hypernyms) to
drastically reduce this bias.


title: Tuning colloid-interface interactions by salt partitioning

abstract:
  We show that the interaction of an oil-dispersed colloidal particle with an
oil-water interface is highly tunable from attractive to repulsive, either by
varying the sign of the colloidal charge via charge regulation, or by varying
the difference in hydrophilicity between the dissolved cations and anions. In
addition, we investigate the yet unexplored interplay between the
self-regulated colloidal surface charge distribution with the planar double
layer across the oil-water interface and the spherical one around the colloid.
Our findings explain recent experiments and have direct relevance for tunable
Pickering emulsions.


title:
Interpretability of Multivariate Brain Maps in Brain Decoding:
  Definition and Quantification

abstract:
  Brain decoding is a popular multivariate approach for hypothesis testing in
neuroimaging. It is well known that the brain maps derived from weights of
linear classifiers are hard to interpret because of high correlations between
predictors, low signal to noise ratios, and the high dimensionality of
neuroimaging data. Therefore, improving the interpretability of brain decoding
approaches is of primary interest in many neuroimaging studies. Despite
extensive studies of this type, at present, there is no formal definition for
interpretability of multivariate brain maps. As a consequence, there is no
quantitative measure for evaluating the interpretability of different brain
decoding methods. In this paper, first, we present a theoretical definition of
interpretability in brain decoding; we show that the interpretability of
multivariate brain maps can be decomposed into their reproducibility and
representativeness. Second, as an application of the proposed theoretical
definition, we formalize a heuristic method for approximating the
interpretability of multivariate brain maps in a binary magnetoencephalography
(MEG) decoding scenario. Third, we propose to combine the approximated
interpretability and the performance of the brain decoding model into a new
multi-objective criterion for model selection. Our results for the MEG data
show that optimizing the hyper-parameters of the regularized linear classifier
based on the proposed criterion results in more informative multivariate brain
maps. More importantly, the presented definition provides the theoretical
background for quantitative evaluation of interpretability, and hence,
facilitates the development of more effective brain decoding algorithms in the
future.


title: ROOT13: Spotting Hypernyms, Co-Hyponyms and Randoms

abstract:
  In this paper, we describe ROOT13, a supervised system for the classification
of hypernyms, co-hyponyms and random words. The system relies on a Random
Forest algorithm and 13 unsupervised corpus-based features. We evaluate it with
a 10-fold cross validation on 9,600 pairs, equally distributed among the three
classes and involving several Parts-Of-Speech (i.e. adjectives, nouns and
verbs). When all the classes are present, ROOT13 achieves an F1 score of 88.3%,
against a baseline of 57.6% (vector cosine). When the classification is binary,
ROOT13 achieves the following results: hypernyms-co-hyponyms (93.4% vs. 60.2%),
hypernymsrandom (92.3% vs. 65.5%) and co-hyponyms-random (97.3% vs. 81.5%). Our
results are competitive with stateof-the-art models.


title: A Bourgain-like property of Banach spaces with no copies of $c_0$

abstract:
  We give a characterization of the existence of copies of $c_{0}$ in Banach
spaces in terms of indexes. As an application, we deduce new proofs of James
Distortion theorem and Bessaga-Pe{\l}czynski theorem about weakly
unconditionally Cauchy series.


title: Universality for random tensors and cycle graphs with multiple edges

abstract:
  We consider the universality for the trace invariants of $c_1 N \times \cdots
\times c_D N$ tensors with i.i.d. complex random elements. In the case $c_1 =
\cdots = c_D$, Gurau derived the universality in the limit $N \to \infty$ by
representing the average trace invariants in terms of the corresponding colored
graphs. Moreover he could explicitly calculate the asymptotic forms of the
average trace invariants, if the corresponding graphs were special ones called
"melonic graphs". In this paper we study another kind of special graphs, cycle
graphs with multiple edges. One can construct these graphs by using simple
cycle graphs and melonic graphs. Counting the number of the components, we can
explicitly calculate the asymptotic forms of the average trace invariants.


title: Unified View of Matrix Completion under General Structural Constraints

abstract:
  In this paper, we present a unified analysis of matrix completion under
general low-dimensional structural constraints induced by {\em any} norm
regularization. We consider two estimators for the general problem of
structured matrix completion, and provide unified upper bounds on the sample
complexity and the estimation error. Our analysis relies on results from
generic chaining, and we establish two intermediate results of independent
interest: (a) in characterizing the size or complexity of low dimensional
subsets in high dimensional ambient space, a certain partial complexity measure
encountered in the analysis of matrix completion problems is characterized in
terms of a well understood complexity measure of Gaussian widths, and (b) it is
shown that a form of restricted strong convexity holds for matrix completion
problems under general norm regularization. Further, we provide several
non-trivial examples of structures included in our framework, notably the
recently proposed spectral $k$-support norm.


title: Dynamical canonical systems and their explicit solutions

abstract:
  Dynamical canonical systems and their connections with the classical
(spectral) canonical systems are considered. We construct B\"acklund-Darboux
transformation and explicit solutions of the dynamical canonical systems. We
study also those properties of the solutions, which are of interest in
evolution and control theories.


title: Unveiling the hidden nematicity and spin subsystem in FeSe

abstract:
  The nematic order (nematicity) is considered one of the essential ingredients
to understand the mechanism of Fe-based superconductivity. In most Fe-based
superconductors (pnictides), nematic order is reasonably close to the
antiferromagnetic order. In FeSe, in contrast, a nematic order emerges below
the structure phase transition at T_s = 90 K with no magnetic order. The case
of FeSe is of paramount importance to a universal picture of Fe-based
superconductors. The polarized ultrafast spectroscopy provides a tool to probe
simultaneously the electronic structure and the magnetic interactions through
quasiparticle dynamics. Here we show that this approach reveals both the
electronic and magnetic nematicity below and, surprisingly, its fluctuations
far above Ts to at least 200 K. The quantitative pump-probe data clearly
identify a correlation between the topology of the Fermi surface (FS) and the
magnetism in all temperature regimes, thus providing profound insight into the
driving factors of nematicity in FeSe and the origin of its uniqueness.


title: On twists of smooth plane curves

abstract:
  Given a smooth curve defined over a field $k$ that admits a non-singular
plane model over $\overline{k}$, a fixed separable closure of $k$, it does not
necessarily have a non-singular plane model defined over the field $k$. We
determine under which conditions this happens and we show an example of such
phenomenon. Now, even assuming that such a smooth plane model exists, we wonder
about the existence of non-singular plane models over $k$ for its twists. We
characterize twists possessing such models and use such characterization to
improve, for the particular case of smooth plane curves, the algorithm to
compute twists of non-hyperelliptic curves wrote recently down by the third
author. We also show an example of a twist not admitting such non-singular
plane model. As a consequence, we get explicit equations for a non-trivial
Brauer-Severi surface. Finally, we obtain a theoretical result to compute all
the twists of smooth plane curves with cyclic automorphism group having a
$k$-model whose automorphism group is generated by a diagonal matrix. Some
examples are also provided.


title:
Modelling of cell choice between differentiation and apoptosis on the
  basis of intracellular and extracellular regulations and stochasticity

abstract:
  The work is devoted to the analysis of cell population dynamics where cells
make a choice between differentiation and apoptosis. This choice is based on
the values of intracellular proteins whose concentrations are described by a
system of ordinary differential equations with bistable dynamics. Intracellular
regulation and cell fate are controlled by the extracellular regulation through
the number of differentiated cells. Initial intracellular protein
concentrations are considered for each cell as random variables with a given
area of variation. Intracellular regulation, extracellular regulation and
random initial conditions work together to produce differentiated cells and to
control their number. The role of intracellular regulation is to provide a
possible choice between differentiation and apoptosis, extracellular regulation
controls the number of differentiated cells, stochastic initial conditions can
suppress oscillations and provide stability of the system.


title: The comb-like representations of cellular ordinal balleans

abstract:
  Given two ordinal $\lambda$ and $\gamma$, let $f:[0,\lambda) \rightarrow
[0,\gamma)$ be a function such that, for each $\alpha<\gamma$, $\sup\{f(t):
t\in[0, \alpha]\}<\gamma.$ We define a mapping $d_{f}: [0,\lambda)\times
[0,\lambda) \longrightarrow [0,\gamma)$ by the rule: if $x<y$ then $d_{f}(x,y)=
d_{f}(y,x)= \sup\{f(t): t\in(x,y]\}$, $d(x,x)=0$. The pair $([0,\lambda),
d_{f})$ is called a $\gamma-$comb defined by $f$. We show that each cellular
ordinal ballean can be represented as a $\gamma-$comb. In {\it General
Asymptology}, cellular ordinal balleans play a part of ultrametric spaces.


title: Properties of ABA+ for Non-Monotonic Reasoning

abstract:
  We investigate properties of ABA+, a formalism that extends the well studied
structured argumentation formalism Assumption-Based Argumentation (ABA) with a
preference handling mechanism. In particular, we establish desirable properties
that ABA+ semantics exhibit. These pave way to the satisfaction by ABA+ of some
(arguably) desirable principles of preference handling in argumentation and
nonmonotonic reasoning, as well as non-monotonic inference properties of ABA+
under various semantics.


title: The group of reversible Turing machines

abstract:
  We consider Turing machines as actions over configurations in
$\Sigma^{\mathbb{Z}^d}$ which only change them locally around a marked position
that can move and carry a particular state. In this setting we study the monoid
of Turing machines and the group of reversible Turing machines. We also study
two natural subgroups, namely the group of finite-state automata, which
generalizes the topological full groups studied in the theory of
orbit-equivalence, and the group of oblivious Turing machines whose movement is
independent of tape contents, which generalizes lamplighter groups and has
connections to the study of universal reversible logical gates. Our main
results are that the group of Turing machines in one dimension is neither
amenable nor residually finite, but is locally embeddable in finite groups, and
that the torsion problem is decidable for finite-state automata in dimension
one, but not in dimension two.


title:
Barrier Functionals for the Analysis of Complex Systems: An
  Optimization-Based Approach

abstract:
  We propose a methodology to address two analysis problems concerning complex
systems, namely bounding state functionals of stochastic differential equations
(SDEs) and verifying set avoidance of systems described by partial differential
equations (PDEs). The proposed method is based on barrier functionals, which
are functionals of the states of the studied systems. The proposed method does
not require the approximation of solutions nor the stability of trajectories.
In the case of SDEs, the formulation relies on a generalized version of the
Feynman-Kac formula and results in moments bounds for nonlinear SDEs.
Furthermore, we show that the analysis problems can be cast as optimization
problems and can be solved by semi-definite programming.


title: Double-Sided Markets with Strategic Multi-dimensional Players

abstract:
  We consider mechanisms for markets that are double-sided and have players
with multi-dimensional strategic spaces on at least one side. The players of
the market are strategic, and act to optimize their own utilities. The
mechanism designer, on the other hand, aims to optimize a social goal, i.e.,
the gain from trade. We focus on one example of this setting which is motivated
by the foreseeable future form of online advertising.
  Online advertising currently supports some of the most important Internet
services, including: search, social media and user generated content sites. To
overcome privacy concerns, it has been suggested to introduce user information
markets through information brokers into the online advertising ecosystem. Such
markets give users control over which data get shared in the online advertising
exchange. We describe a model for the above foreseeable future form of online
advertising, and design two mechanisms for the exchange of this model: a
deterministic mechanism which is related to the vast literature on mechanism
design through trade reduction and allows players with a multi-dimensional
strategic space, and a randomized mechanism which can handle a more general
version of the model.


title:
Adiabaticity in a time-dependent trap: a universal limit for the loss by
  touching the continuum

abstract:
  We consider a time dependent trap externally manipulated in such a way that
one of its bound states is brought into an instant contact with the continuum
threshold, and then down again. It is shown that, in the limit of slow
evolution, the probability to remain in the bound state, $P^{stay}$ tends to a
universal limit, and is determined only by the manner in which the adiabatic
bound state approaches and leaves the threshold. The task of evaluating the
$P^{stay}$ in the adiabatic limit can be reduced to studying the loss from a
zero range well, and is performed numerically. Various types of trapping
potentials are considered. Applications of the theory to cold atoms in traps,
and to propagation of traversal modes in tapered wave guides are proposed.


title: Quantum chaos inside space-temporal Sinai billiards

abstract:
  We discuss general aspects of non-relativistic quantum chaos theory of
scattering of a quantum particle on a system of a large number of naked
singularities. We define such a system space-temporal Sinai billiard We dis-
cuss the problem in semiclassical approach. We show that in semiclassical
regime the formation of trapped periodic semiclassical orbits inside the sys-
tem is unavoidable. This leads to general expression of survival probabilities
and scattering time delays, expanded to the chaotic Pollicott-Ruelle reso-
nances. Finally, we comment on possible generalizations of these aspects to
relativistic quantum field theory.


title: Multi-Band Image Fusion Based on Spectral Unmixing

abstract:
  This paper presents a multi-band image fusion algorithm based on unsupervised
spectral unmixing for combining a high-spatial low-spectral resolution image
and a low-spatial high-spectral resolution image. The widely used linear
observation model (with additive Gaussian noise) is combined with the linear
spectral mixture model to form the likelihoods of the observations. The
non-negativity and sum-to-one constraints resulting from the intrinsic physical
properties of the abundances are introduced as prior information to regularize
this ill-posed problem. The joint fusion and unmixing problem is then
formulated as maximizing the joint posterior distribution with respect to the
endmember signatures and abundance maps, This optimization problem is attacked
with an alternating optimization strategy. The two resulting sub-problems are
convex and are solved efficiently using the alternating direction method of
multipliers. Experiments are conducted for both synthetic and semi-real data.
Simulation results show that the proposed unmixing based fusion scheme improves
both the abundance and endmember estimation comparing with the state-of-the-art
joint fusion and unmixing algorithms.


title:
WISH VI. Constraints on UV and X-ray irradiation from a survey of
  hydrides in low- to high-mass YSOs

abstract:
  Hydrides are simple compounds containing one or a few hydrogen atoms bonded
to a heavier atom. They are fundamental precursor molecules in cosmic chemistry
and many hydride ions have become observable in high quality for the first time
thanks to the Herschel Space Observatory. Ionized hydrides, such as CH+ and
OH+, and also HCO+ that affect the chemistry of molecules such as water,
provide complementary information on irradiation by far UV (FUV) or X-rays and
gas temperature. The targeted lines of CH+, OH+, H2O+, C+ and CH are detected
mostly in blue-shifted absorption. H3O+ and SH+ are detected in emission and
only toward some high-mass objects. The observed line parameters and
correlations suggest two different origins, related to gas entrained by the
outflows and to the circumstellar envelope. The column density ratios of
CH+/OH+ are estimated from chemical slab models, assuming that the H2 density
is given by the specific density model of each object at the beam radius. For
the low-mass YSOs the observed ratio can be reproduced for an FUV flux of 2-400
times the ISRF at the location of the molecules. In two high-mass objects, the
UV flux is 20-200 times the ISRF derived from absorption lines, and 300-600
ISRF using emission lines. If the FUV flux required for low-mass objects
originates at the central protostar, a substantial FUV luminosity, up to 1.5
L_sun, is required. There is no molecular evidence for X-ray induced chemistry
in the low-mass objects on the observed scales of a few 1000 AU. For high-mass
regions, the FUV flux required to produce the observed molecular ratios is
smaller than the unattenuated flux expected from the central object(s) at the
Herschel beam radius. This is consistent with an FUV flux reduced by
circumstellar extinction or by bloating of the protostar.


title:
Primitive transformation shift registers of order two over fields of
  characteristic two

abstract:
  We consider the problem of enumeration of primitive TSRs of order n over any
finite field. Here we prove the existence of primitive TSRs of order two over
binary field extensions. Moreover we give a general search algorithm for
primitive TSRs of odd order over any finite field and in particular of order
two over fields of characteristic 2. We also give certain bounds on the number
of primitive TSRs in special cases and propose a conjecture regarding the
existence of certain special type of primitive polynomials, which answers the
existence of primitive TSRs of odd order n over Fqm and primitive TSRs of order
greater than 3 over binary field extensions..


title: Superposition in Modulation Spaces with Ultradifferentiable Weights

abstract:
  In the theory of nonlinear partial differential equations we need to explain
superposition operators. For modulation spaces equipped with particular
ultradifferentiable weights this was done in \cite{rrs}. In this paper we
introduce a class of general ultradifferentiable weights for modulation spaces
$\mathcal{M}^{w_*}_{p,q}(\mathbb{R}^n)$ which have at most subexponential
growth. We establish analytic as well as non-analytic superposition results in
the spaces $\mathcal{M}^{w_*}_{p,q}(\mathbb{R}^n)$.


title: Band gap engineering by Bi intercalation of graphene on Ir(111)

abstract:
  We report on the structural and electronic properties of a single bismuth
layer intercalated underneath a graphene layer grown on an Ir(111) single
crystal. Scanning tunneling microscopy (STM) reveals a hexagonal surface
structure and a dislocation network upon Bi intercalation, which we attribute
to a $\sqrt{3}\times\sqrt{3}R30{\deg}$ Bi structure on the underlying Ir(111)
surface. Ab-initio calculations show that this Bi structure is the most
energetically favorable, and also illustrate that STM measurements are most
sensitive to C atoms in close proximity to intercalated Bi atoms. Additionally,
Bi intercalation induces a band gap ($E_g=0.42\,$eV) at the Dirac point of
graphene and an overall n-doping ($\sim 0.39\,$eV), as seen in angular-resolved
photoemission spectroscopy. We attribute the emergence of the band gap to the
dislocation network which forms favorably along certain parts of the moir\'e
structure induced by the graphene/Ir(111) interface.


title: RF-dressed Rydberg atoms in hollow-core fibres

abstract:
  The giant electro-optical response of Rydberg atoms manifests itself in the
emergence of sidebands in the Rydberg excitation spectrum if the atom is
exposed to a radio-frequency (RF) electric field. Here we report on the study
of RF-dressed Rydberg atoms inside hollow-core photonic crystal fibres
(HC-PCF), a system that enables the use of low modulation voltages and offers
the prospect of miniaturised vapour-based electro-optical devices. Narrow
spectroscopic features caused by the RF field are observed for modulation
frequencies up to 500 MHz.


title:
Short-time existence of the Ricci flow on complete, non-collapsed
  $3$-manifolds with Ricci curvature bounded from below

abstract:
  We prove that for any complete three-manifold with a lower Ricci curvature
bound and a lower bound on the volume of balls of radius one, a solution to the
Ricci flow exists for short time. Actually our proof also yields a
(non-canonical) way to flow and regularize some interior region of a
non-complete initial data satisfying the aformentioned bounds.


title: Multifunctional Cascaded Metamaterials: Integrated Transmitarrays

abstract:
  Control of electromagnetic waves using engineered materials is very important
in a wide range of applications, therefore there is always a continuous need
for new and more efficient solutions. Known natural and artificial materials
and surfaces provide a particular functionality in the frequency range they
operate but cast a "shadow" and produce reflections at other frequencies. Here,
we introduce a concept of multifunctional engineered materials that possess
different predetermined functionalities at different frequencies. Such response
can be accomplished by cascading metasurfaces (thin composite layers) that are
designed to perform a single operation at the desired frequency and are
transparent elsewhere. Previously, out-of-band transparent metasurfaces for
control over reflection and absorption were proposed. In this paper, to
complete the full set of functionalities for wave control, we synthesize
transmitarrays that tailor transmission in a desired way, being "invisible"
beyond the operational band. The designed transmitarrays for wavefront shaping
and anomalous refraction are tested numerically and experimentally. To
demonstrate our concept of multifunctional engineered materials, we have
designed a cascade of three metasurfaces that performs three different
functions for waves at different frequencies. Remarkably, applied to volumetric
metamaterials, our concept can enable a single composite possessing desired
multifunctional response.


title: Wormhole creation by quantum tunnelling

abstract:
  We study the process of quantum tunnelling in self-interacting scalar field
theories with non-minimal coupling to gravity. In these theories gravitational
instantons can develop a neck -- a feature prohibited in theories with minimal
coupling, and describing the nucleation of geometries containing a wormhole. We
also clarify the relationship of neck geometries to violations of the null
energy condition.


title:
Error tolerance of topological codes with independent bit-flip and
  measurement errors

abstract:
  Topological quantum error correction codes are currently among the most
promising candidates for efficiently dealing with the decoherence effects
inherently present in quantum devices. Numerically, their theoretical error
threshold can be calculated by mapping the underlying quantum problem to a
related classical statistical-mechanical spin system with quenched disorder.
Here, we present results for the general fault-tolerant regime, where we
consider both qubit and measurement errors. However, unlike in previous
studies, here we vary the strength of the different error sources
independently. Our results highlight peculiar differences between toric and
color codes. This study complements previous results published in New J. Phys.
13, 083006 (2011).


title: Generic aspects of skyrmion lattices in chiral magnets

abstract:
  Magnetic skyrmions are topologically non-trivial spin whirls that may not be
transformed continuously into topologically trivial states such as
ferromagnetic spin alignment. In recent years lattice structures composed of
skyrmions have been discovered in certain bulk chiral magnets with
non-centrosymmetric crystal structures. The magnetic phase diagrams of these
materials share remarkable similarities despite great variations of the
characteristic temperature, field, and length scales and regardless whether the
underlying electronic state is that of a metal, semiconductor, or insulator.


title:
Effect of multiplicity of stellar encounters and the diffusion
  coefficients in the uniform stellar medium: no classical divergence ?

abstract:
  Agekyan lambda-factor that accounts for the effect of multiple distant
encounters with large impact factors is used for the first time to compute the
diffusion coefficients in the velocity space of a stellar system. It is shown
that in this case the cumulative effect - the total contribution of distant
encounters to the change in the velocity of the test star - is finite, and the
logarithmic divergence inherent to the classical description disappears, as
also was earlier noted by Kandrup (1981). At the same time, the formulas for
the diffusion coefficients, as before, contain the logarithm of the ratio of
two independent scale factors that fully characterize the state of the stellar
system: the average interparticle distance and the impact parameter of a close
encounter. However, the physical meaning of this factor is no longer associated
with the classical logarithmic divergence.


title: Geometric invariants for non-archimedean semialgebraic sets

abstract:
  This survey paper explains how one can attach geometric invariants to
semialgebraic sets defined over non-archimedean fields, using the theory of
motivic integration of Hrushovski and Kazhdan. It also discusses tropical
methods to compute these invariants in concrete cases, as well as an
application to refined curve counting, developed in collaboration with Sam
Payne and Franziska Schroeter.


title:
Higher-Order Numerical Solutions of the Fractional
  Relaxation-Oscillation Equation using Fractional Integration

abstract:
  In the present paper we derive the asymptotic expansion formula for the
trapezoidal approximation of the fractional integral. We use the expansion
formula to obtain approximations for the fractional integral of order
$\alpha,1+\alpha,2+\alpha,3+\alpha$ and $4+\alpha$. The approximations are
applied for computing the numerical solutions of the fractional
relaxation-oscillation equation.


title: Theory of dissociative tunneling ionization

abstract:
  We present a theoretical study of the dissociative tunneling ionization
process. Analytic expressions for the nuclear kinetic energy distribution of
the ionization rates are derived. A particularly simple expression for the
spectrum is found by using the Born-Oppenheimer (BO) approximation in
conjunction with the reflection principle. These spectra are compared to exact
non-BO ab initio spectra obtained through model calculations with a quantum
mechanical treatment of both the electronic and nuclear degrees freedom. In the
regime where the BO approximation is applicable imaging of the BO nuclear wave
function is demonstrated to be possible through reverse use of the reflection
principle, when accounting appropriately for the electronic ionization rate. A
qualitative difference between the exact and BO wave functions in the
asymptotic region of large electronic distances is shown. Additionally the
behavior of the wave function across the turning line is seen to be reminiscent
of light refraction. For weak fields, where the BO approximation does not
apply, the weak-field asymptotic theory describes the spectrum accurately.


title:
Usability Comparison of Mouse, Touch and Tangible Inputs for 3D Data
  Manipulation

abstract:
  We evaluate the performance and usability of mouse-based, touch-based, and
tangible interaction for manipulating objects in a 3D virtual environment. This
comparison is a step toward a better understanding of the limitations and
benefits of these existing interaction techniques, with the ultimate goal of
facilitating the integration of different 3D data exploration environments into
a single interaction continuum. For this purpose we analyze participants'
performance in 3D manipulation using a docking task. We measured completion
times, docking precision, as well as subjective criteria such as fatigue,
workload, and preference. Our results show that the three input modalities
provide similar levels of precision but require different interaction times. We
also discuss our qualitative observations as well as people's preferences and
put our findings into context of the practical application domain of 3D data
analysis environments.


title:
Fingerprint of topological Andreev bound states in phase-dependent heat
  transport

abstract:
  We demonstrate that phase-dependent heat currents through
superconductor-topological insulator Josephson junctions provide a useful tool
to probe the existence of topological Andreev bound states, even for
multi-channel surface states. We predict that in the tunneling regime
topological Andreev bound states lead to a minimum of the thermal conductance
for a phase difference $\phi=\pi$, in clear contrast to a maximum of the
thermal conductance at $\phi=\pi$ that occurs for trivial Andreev bound states
in superconductor-normal metal tunnel junctions. This opens up the possibility
that phase-dependent heat transport can distinguish between topologically
trivial and nontrivial 4$\pi$ modes. Furthermore, we propose a superconducting
quantum interference device geometry where phase-dependent heat currents can be
measured using available experimental technology.


title: Laser induced nuclear waste transmutation

abstract:
  When producing electricity that collects the mass energy that is available at
the time of the induced disintegration of radioactive elements, other unstable
elements are produced with half-life span durations ranging from less than one
second to hundreds of thousands of years and which are considered as waste.
Managing nuclear waste with a half-life of less than 30 years is an easy task,
as our societies clearly know how to keep buildings safe for more than a
century, the time it takes for the activity to be divided by a factor of 8.
High-activity, long-lasting waste that can last for thousands of years or even
longer, up to geological time laps, cannot be taken care of for such long
durations. Therefore, these types of waste are socially unacceptable; nobody
wants to leave a polluted planet to descendants.


title: Asymptotics of phase and wave functions

abstract:
  For single and twochannel nucleon-nucleon scattering the asymptotic form of
the phase function for r->0 were taken into account for the asymptotic behavior
of the wave function. Asymptotics of the wave function will not r^(l+1), and
will have a more complex view and be also determined by the behavior of the
potential near the origin. Have examined the cases for nonsingular (weakly
singular) and strongly singular potentials. Were the numerical calculations of
phase, amplitude and wave functions for the nucleon-nucleon potential Argonne
v18. Considered 1S0-, 3P0-, 3P1- states of the np- system.


title:
All-electrical production of spin-polarized currents in carbon
  nanotubes: Rashba spin-orbit interaction

abstract:
  We study the effect of the Rashba spin-orbit interaction in the quantum
transport of carbon nanotubes with arbitrary chiralities. For certain spin
directions, we find a strong spin-polarized electrical current that depends on
the diameter of the tube, the length of the Rashba region and on the tube
chirality. Predictions for the spin-dependent conductances are presented for
different families of achiral and chiral tubes. We have found that different
symmetries acting on spatial and spin variables have to be considered in order
to explain the relations between spin-resolved conductances in carbon
nanotubes. These symmetries are more general than those employed in planar
graphene systems. Our results indicate the possibility of having stable
spin-polarized electrical currents in absence of external magnetic fields or
magnetic impurities in carbon nanotubes.


title:
On the Impact of Localization Errors on HRTF-based Robust Least-Squares
  Beamforming

abstract:
  In this work, a recently proposed Head-Related Transfer Function (HRTF)-based
Robust Least-Squares Frequency-Invariant (RLSFI) beamformer design is analyzed
with respect to its robustness against localization errors, which lead to a
mismatch between the HRTFs corresponding to the actual target source position
and the HRTFs which have been used for the beamformer design. The impact of
this mismatch on the performance of the HRTF-based RLSFI beamformer is
evaluated, including a comparison to the free-field-based beamformer design,
using signal-based measures and word error rates for an off-the-shelf speech
recognizer.


title:
Space Telescope and Optical Reverberation Mapping Project. IV. Anomalous
  behavior of the broad ultraviolet emission lines in NGC 5548

abstract:
  During an intensive Hubble Space Telescope (HST) Cosmic Origins Spectrograph
(COS) UV monitoring campaign of the Seyfert~1 galaxy NGC 5548 performed from
2014 February to July, the normally highly correlated far-UV continuum and
broad emission-line variations decorrelated for ~60 to 70 days, starting ~75
days after the first HST/COS observation. Following this anomalous state, the
flux and variability of the broad emission lines returned to a more normal
state. This transient behavior, characterised by significant deficits in flux
and equivalent width of the strong broad UV emission lines, is the first of its
kind to be unambiguously identified in an active galactic nucleus reverberation
mapping campaign. The largest corresponding emission-line flux deficits
occurred for the high-ionization collisionally excited lines, C IV and Si IV(+O
IV]), and also He II(+O III]), while the anomaly in Ly-alpha was substantially
smaller. This pattern of behavior indicates a depletion in the flux of photons
with E_{\rm ph} > 54 eV, relative to those near 13.6 eV. We suggest two
plausible mechanisms for the observed behavior: (i) temporary obscuration of
the ionizing continuum incident upon BLR clouds by a moving veil of material
lying between the inner accretion disk and inner BLR, perhaps resulting from an
episodic ejection of material from the disk, or (ii) a temporary change in the
intrinsic ionizing continuum spectral energy distribution resulting in a
deficit of ionizing photons with energies > 54 eV, possibly due to a transient
restructuring of the Comptonizing atmosphere above the disk. Current evidence
appears to favor the latter explanation.


title:
Temporal disorder does not forbid discontinuous absorbing phase
  transitions in low dimensional systems

abstract:
  Distinct works have claimed that spatial (quenched) disorder can suppress the
discontinuous absorbing phase transitions. Conversely, the scenario for
temporal disorder for discontinuous absorbing phase transitions is unknown. In
order to shed some light in this direction, we tackle its effect in three
bidimensional examples, presenting undoubtedly discontinuous absorbing phase
transitions. Except in one case (to be explained further), the temporal
disorder is introduced by allowing the control parameter to be time dependent
$p\rightarrow p(t)$ according to a uniform distribution of mean $p_0$ and width
$\sigma$, in which at the emergence of the phase transition the system transits
between active and absorbing regimes. In contrast to the spatial disorder,
numerical results strongly suggest that temporal disorder does not forbid the
existence of discontinuous transition. All cases are signed by behaviors
similar to their pure (without disorder) counterparts, including bistability
around the coexistence point and common finite size scaling behavior with the
inverse of the system volume, as recently proposed in Phys. Rev. E. {\bf 92},
062126 (2015). We also observe that temporal disorder does not induce temporal
Griffiths phases around phase transitions, at least for $d=2$.


title: All binomial identities are orderable

abstract:
  The main result of this paper is to show that all binomial identities are
orderable. This is a natural statement in the combinatorial theory of finite
sets, which can also be applied in distributed computing to derive new strong
bounds on the round complexity of the weak symmetry breaking task.
  Furthermore, we introduce the notion of a fundamental binomial identity and
find an infinite family of values, other than the prime powers, for which no
fundamental binomial identity can exist.


title:
Pointwise H\"older Exponents of the Complex Analogues of the Takagi
  Function in Random Complex Dynamics

abstract:
  We investigate the H\"older regularity of the function $T$ of the probability
of tending to one minimal set, the partial derivatives of $T$ with respect to
the probability parameters, which can be regarded as complex analogues of the
Takagi function, and the higher partial derivatives $C$ of $T.$ Our main result
gives a dynamical description of the pointwise H\"older exponents of $T$ and
$C$, which allows us to determine the spectrum of pointwise H\"older exponents
by employing the multifractal formalism in ergodic theory. Also, we prove that
the bottom of the spectrum $\alpha_{-}$ is strictly less than $1$, which allows
us to show that the averaged system acts chaotically on the Banach space
$C^{\alpha }$ of $\alpha $- H\"older continuous functions for every $\alpha \in
(\alpha_{-},1)$, though the averaged system behaves very mildly (e.g. we have
spectral gaps) on $C^{\beta }$ for small $\beta >0.$


title: Instantaneous Bethe-Salpeter Kernel for the Lightest Pseudoscalar Mesons

abstract:
  Starting from a phenomenologically successful, numerical solution of the
Dyson-Schwinger equation that governs the quark propagator, we reconstruct in
detail the interaction kernel that has to enter the instantaneous approximation
to the Bethe-Salpeter equation to allow us to describe the lightest
pseudoscalar mesons as quark-antiquark bound states exhibiting the (almost)
masslessness necessary for them to be interpretable as the (pseudo) Goldstone
bosons related to the spontaneous chiral symmetry breaking of quantum
chromodynamics.


title:
Current-induced asymmetric magnetoresistance due to energy transfer via
  quantum spin-flip process

abstract:
  Current-induced magnetization excitation is a core phenomenon for
next-generation magnetic nanodevices, and has been attributed to the
spin-transfer torque (STT) that originates from the transfer of the spin
angular momentum between a conduction electron and a local magnetic moment
through the exchange coupling. However, the same coupling can transfer not only
spin but also energy, though the latter transfer mechanism has been largely
ignored. Here we report on experimental evidence concerning the energy transfer
in ferromagnet/heavy metal bilayers. The magnetoresistance (MR) is found to
depend significantly on the current direction down to low in-plane currents,
for which STT cannot play any significant role. Instead we find that the
observed MR is consistent with the energy transfer mechanism through the
quantum spin-flip process, which predicts short wavelength,
current-direction-dependent magnon excitations in the THz frequency range. Our
results unveil another aspect of current-induced magnetic excitation, and open
a channel for the dc-current-induced generation of THz magnons.


title: Generalized damped Milne-Pinney equation and Chiellini method

abstract:
  We adopt the Chiellini integrability method to find the solutions of various
generalizations of the damped Milne-Pinney equations. In particular, we find
the solution of the damped Ermakov-Painlev\'e II equation and generalized
dissipative Milne-Pinney equation.


title: Decay width of $d^*(2380)\to NN \pi\pi$ processes

abstract:
  The decay widths of four-body double-pion decays $\ds\to pn \pi^0\pi^0$,
$\ds\to pn \pi^+\pi^-$, and iso-scalar parts of $\ds\to pp \pi^0\pi^-$ and
$\ds\to nn \pi^+\pi^0$ are explicitly calculated with the help of the $d^*$
wave function obtained in a chiral SU(3) quark model calculation. The effect of
the dynamical structure on $\ds$'s width is analyzed both in the single
$\Delta\Delta$ channel and coupled $\Delta\Delta$ and $CC$ channel
approximations. It is found that in the coupled-channel approximation, the
obtained partial decay widths of $\ds\to pn \pi^0\pi^0$, $\ds\to pn
\pi^+\pi^-$, and those of $d^*$ to the iso-scalar parts of $pp \pi^0\pi^-$ and
$nn \pi^+\pi^0$ are about $7.4$MeV, $16.4$MeV, $3.5$MeV and $3.5$MeV,
respectively As a consequence, the total width is about $64.5$MeV. These widths
are consistent with those estimated by using the corresponding cross section
data in our previous investigation and also the observed data. But in the
single $\Delta\Delta$ channel approximation, the widths are still almost
2-times larger than the measured values. Apparently, the explicitly calculated
width together with the evaluated mass of $d^*$ in the coupled $\Delta\Delta$
and $CC$ channel approximation can well explain the observed data, which again
supports our assertion that the $\ds$ resonance is a six-quark dominated exotic
state.


title: Band Structure in Yang-Mills Theories

abstract:
  We show how Yang-Mills theory on $S^3\times R$ can exhibit a spectrum with
continuous bands if coupled either to a topological 3-form gauge field, or to a
dynamical axion with heavy Peccei-Quinn scale. The basic mechanism consists in
associating winding histories to a bosonic zero mode whose role is to convert a
circle in configuration space into a helix. The zero mode is, respectively, the
holonomy of the 3-form field or the axion momentum. In these models different
theta sectors coexist but are not mixed by local operators. Our analysis sheds
light on, and extends Seiberg's proposal for modifying the topological sums in
quantum field theories. It refutes a recent claim that $B+L$ violation at LHC
is unsuppressed.


title: Output-Feedback Stabilization of the Korteweg-de Vries Equation

abstract:
  The present paper develops boundary output-feedback stabilization of the
Korteweg-de Vries (KdV) equation with sensors and an actuator located at
different boundaries (anti collocated set-up) using backstepping method. The
feedback control law and output injection gains are found using the
backstepping method for linear KdV equation. The proof of stability is based on
construction of a strict Lyapunov functional which includes the observer
states. A numerical simulation is presented to validate the result.


title: The MuPix System-on-Chip for the Mu3e Experiment

abstract:
  Mu3e is a novel experiment searching for charged lepton flavor violation in
the rare decay $\mu^+ \rightarrow e^+e^-e^+$. Decay vertex position, decay time
and particle momenta have to be precisely measured in order to reject both
accidental and physics background. A silicon pixel tracker based on $50\,\mu$m
thin high voltage monolithic active pixel sensors (HV-MAPS) in a 1 T solenoidal
magnetic field provides precise vertex and momentum information. The MuPix chip
combines pixel sensor cells with integrated analog electronics and a periphery
with a complete digital readout. The MuPix7 is the first HV-MAPS prototype
implementing all functionalities of the final sensor including a readout state
machine and high speed serialization with 1.25 Gbit/s data output, allowing for
a streaming readout in parallel to the data taking. The observed efficiency of
the MuPix7 chip including the full readout system is $\geq99\%$ in a high rate
test beam.


title:
Solution of Interpolation Problems via the Hankel Polynomial
  Construction

abstract:
  We treat the interpolation problem $ \{f(x_j)=y_j\}_{j=1}^N $ for polynomial
and rational functions. Developing the approach by C.Jacobi, we represent the
interpolants by virtue of the Hankel polynomials generated by the sequences $
\{\sum_{j=1}^N x_j^ky_j/W^{\prime}(x_j) \}_{k\in \mathbb N} $ and $
\{\sum_{j=1}^N x_j^k/(y_jW^{\prime}(x_j)) \}_{k\in \mathbb N} $; here $
W(x)=\prod_{j=1}^N(x-x_j) $. The obtained results are applied for the error
correction problem, i.e. the problem of reconstructing the polynomial from a
redundant set of its values some of which are probably erroneous. The problem
of evaluation of the resultant of polynomials $ p(x) $ and $ q(x) $ from the
set of values $ \{p(x_j)/q(x_j) \}_{j=1}^N $ is also tackled within the
framework of this approach.