title:
Measurements and analysis of optical crosstalk in a microwave kinetic
  inductance detector array

abstract:
  The main advantage of Microwave Kinetic Inductance Detector arrays (MKID) is
their multiplexing capability, which allows for building cameras with a large
number of pixels and good sensitivity, particularly suitable to perform large
blank galaxy surveys. However, to have as many pixels as possible it is
necessary to arrange detectors close in readout frequency. Consequently KIDs
overlap in frequency and are coupled to each other producing crosstalk. Because
crosstalk can be only minimised by improving the array design, in this work we
aim to correct for this effect a posteriori. We analysed a MKID array
consisting of 880 KIDs with readout frequencies at 4-8 GHz. We measured the
beam patterns for every detector in the array and described the response of
each detector by using a two-dimensional Gaussian fit. Then, we identified
detectors affected by crosstalk above -30 dB level from the maximum and removed
the signal of the crosstalking detectors. Moreover, we modelled the crosstalk
level for each KID as a function of the readout frequency separation starting
from the assumption that the transmission of a KID is a Lorenztian function in
power. We were able to describe the general crosstalk level of the array and
the crosstalk of each KID within 5 dB, so enabling the design of future arrays
with the crosstalk as a design criterion. In this work, we demonstrate that it
is possible to process MKID images a posteriori to decrease the crosstalk
effect, subtracting the response of each coupled KID from the original map.


title: Currents in supersymmetric field theories

abstract:
  A general formalism to construct and improve supercurrents and source or
anomaly superfields in two-derivative N=1 supersymmetric theories is presented.
It includes arbitrary gauge and chiral superfields and a linear superfield
coupled to gauge fields. These families of supercurrent structures are
characterized by their energy-momentum tensors and R currents and they display
a specific relation to the dilatation current of the theory. The linear
superfield is introduced in order to describe the gauge coupling as a
background (or propagating) field. Supersymmetry does not constrain the
dependence on this gauge coupling field of gauge kinetic terms and
holomorphicity restrictions are absent. Applying these results to an effective
(Wilson) description of super-Yang-Mills theory, matching or cancellation of
anomalies leads to an algebraic derivation of the all-order NSVZ beta function.


title:
Uniqueness for a class of stochastic Fokker-Planck and porous media
  equations

abstract:
  The purpose of the present note consists of first showing a uniqueness result
for a stochastic Fokker-Planck equation under very general assumptions. In
particular, the second order coefficients may be just measurable and
degenerate. We also provide a proof for uniqueness of a stochastic porous media
equation in a fairly large space.


title: Symmetrized exponential oscillator

abstract:
  Several properties of bound states in potential $ V(x)= g^2\exp (|x|)$ are
studied. Firstly, with the emphasis on the reliability of our
arbitrary-precision construction, wave functions are considered in the two
alternative (viz., asymptotically decreasing or regular) exact Bessel-function
forms which obey the asymptotic or matching conditions, respectively. The
merits of the resulting complementary transcendental secular equation
approaches are compared and their applicability is discussed.


title: Nucleon's axial-vector form factor in the hard-wall AdS/QCD model

abstract:
  The axial-vector form factor of the nucleons is considered in the framework
of hard-wall model of holographic QCD. A new interaction term between the bulk
gauge and matter fields was included into the interaction Lagrangian. We obtain
the axial-vector form factor of nucleons in the boundary QCD from the bulk
action using AdS/CFT correspondence. The momentum square dependence of the
axial-vector form factor is analysed numerically.


title: Sharp L^p-L^r estimates for k-plane transforms in finite fields

abstract:
  We study mapping properties of finite field k-plane transforms. Using
geometric combinatorics, we do an elaborate analysis to recover the critical
endpoint estimate. As a consequence, we obtain optimal L^p-L^r estimates for
all k-plane transforms in the finite field setting. In addition, applying
Holder's inequality to our results, we obtain an estimate for multilinear
k-plane transforms.


title:
Equivalence Checking a Floating-point Unit against a High-level C Model
  (Extended Version)

abstract:
  Semiconductor companies have increasingly adopted a methodology that starts
with a system-level design specification in C/C++/SystemC. This model is
extensively simulated to ensure correct functionality and performance. Later, a
Register Transfer Level (RTL) implementation is created in Verilog, either
manually by a designer or automatically by a high-level synthesis tool. It is
essential to check that the C and Verilog programs are consistent. In this
paper, we present a two-step approach, embodied in two equivalence checking
tools, VERIFOX and HW-CBMC, to validate designs at the software and RTL levels,
respectively. VERIFOX is used for equivalence checking of an untimed software
model in C against a high-level reference model in C. HW-CBMC verifies the
equivalence of a Verilog RTL implementation against an untimed software model
in C. To evaluate our tools, we applied them to a commercial floating-point
arithmetic unit (FPU) from ARM and an open-source dual-path floating-point
adder.


title: Smale's mean value conjecture for finite Blaschke products

abstract:
  Motivated by a dictionary between polynomials and finite Blaschke products,
we study both Smale's mean value conjecture and its dual conjecture for finite
Blaschke products in this paper. Our result on the dual conjecture for finite
Blaschke products allows us to improve a bound obtained by V. Dubinin and T.
Sugawa for the dual mean value conjecture for polynomials.


title: Pattern-induced anchoring transitions in nematic liquid crystals

abstract:
  In this paper we revisit the problem of a nematic liquid crystal in contact
with patterned substrates. The substrate is modelled as a periodic array of
parallel infinite grooves of well-defined cross section sculpted on a
chemically homogeneous substrate which favors local homeotropic anchoring of
the nematic. We consider three cases: a sawtooth, a crenellated and a
sinusoidal substrate. We analyse this problem within the modified Frank-Oseen
formalism. We argue that, for substrate periodicities much larger than the
extrapolation length, the existence of different nematic textures with distinct
far-field orientations, as well as the anchoring transitions between them, are
associated with the presence of topological defects either on or close to the
substrate. For the sawtooth and sinusoidal case, we observe a homeotropic to
planar anchoring transition as the substrate roughness is increased. On the
other hand, a homeotropic to oblique anchoring transition is observed for
crenellated substrates. In this case, the anchoring phase diagram shows a
complex dependence on the substrate roughness and substrate anchoring strength.


title: A Lattice Calculation of Parton Distributions

abstract:
  We present results for the $x$ dependence of the unpolarized, helicity, and
transversity isovector quark distributions in the proton using lattice QCD,
employing the method of quasi-distributions proposed by Ji in 2013. Compared to
a previous calculation by us, the errors are reduced by a factor of about 2.5.
Moreover, we present our first results for the polarized sector of the proton,
which indicate an asymmetry in the proton sea in favor of the $u$ antiquarks
for the case of helicity distributions, and an asymmetry in favor of the $d$
antiquarks for the case of transversity distributions.


title: Efficient quantum circuits for Szegedy quantum walks

abstract:
  A major advantage in using Szegedy's formalism over discrete-time and
continuous-time quantum walks lies in its ability to define a unitary quantum
walk on directed and weighted graphs. In this paper, we present a general
scheme to construct efficient quantum circuits for Szegedy quantum walks that
correspond to classical Markov chains possessing transformational symmetry in
the columns of the transition matrix. In particular, the transformational
symmetry criteria do not necessarily depend on the sparsity of the transition
matrix, so this scheme can be applied to non-sparse Markov chains. Two classes
of Markov chains that are amenable to this construction are cyclic permutations
and complete bipartite graphs, for which we provide explicit efficient quantum
circuit implementations. We also prove that our scheme can be applied to Markov
chains formed by a tensor product. We also briefly discuss the implementation
of Markov chains based on weighted interdependent networks. In addition, we
apply this scheme to construct efficient quantum circuits simulating the
Szegedy walks used in the quantum Pagerank algorithm for some classes of
non-trivial graphs, providing a necessary tool for experimental demonstration
of the quantum Pagerank algorithm.


title:
Work fluctuation and total entropy production in nonequilibrium
  processes

abstract:
  Work fluctuation and total entropy production play crucial roles in small
thermodynamic systems subject to large thermal fluctuations. We investigate a
trade-off relation between them in a nonequilibrium situation in which a system
starts from an arbitrary nonequilibrium state. We apply the variational method
to study this problem and find a stationary solution against variations over
protocols that describe the time dependence of the Hamiltonian of the system.
Using the stationary solution, we find the minimum of the total entropy
production for a given amount of work fluctuation. An explicit protocol that
achieves this is constructed from an adiabatic process followed by a
quasi-static process. The obtained results suggest how one can control the
nonequilibrium dynamics of the system while suppressing its work fluctuation
and total entropy production.


title:
Examining molecular clouds in the Galactic Centre region using X-ray
  reflection spectra simulations

abstract:
  In the centre of our galaxy lies a super-massive black hole, identified with
the radio source Sagittarius A*. This black hole has an estimated mass of
around 4 million solar masses. Although Sagittarius A* is quite dim in terms of
total radiated energy, having a luminosity that is a factor of $10^{10}$ lower
than its Eddington luminosity, there is now compelling evidence that this
source was far brighter in the past. Evidence derived from the detection of
reflected X-ray emission from the giant molecular clouds in the galactic centre
region. However, the interpretation of the reflected emission spectra cannot be
done correctly without detailed modelling of the reflection process. Attempts
to do so can lead to an incorrect interpretation of the data. In this paper we
present the results of a Monte Carlo simulation code we developed in order to
fully model the complex processes involved in the emerging reflection spectra.
The simulated spectra can be compared to real data in order to derive model
parameters and constrain the past activity of the black hole. In particular we
apply our code to observations of Sgr B2, in order to constrain the position
and density of the cloud and the incident luminosity of the central source. The
results of the


title:
Maximal function characterizations for new local Hardy type spaces on
  spaces of homogeneous type

abstract:
  Let $X$ be a space of homogeneous type and let $\mathfrak{L}$ be a
nonnegative self-adjoint operator on $L^2(X)$ enjoying Gaussian estimates. The
main aim of this paper is twofold. Firstly, we prove the (local) nontangential
and radial maximal function charaterization for the local Hardy spaces
associated to $\mathfrak{L}$. This deduces the maximal function charaterization
for local Hardy spaces in the sense of Coifman and Weiss provided that
$\mathfrak{L}$ satisfies certain extra conditions. Secondly, we introduce the
local Hardy space associated to the critical function $\rho$ which is motivated
by the theory of Hardy spaces related to Schr\"odinger operators and includes
the local Hardy spaces of Coifman and Weiss as a special case. Then we prove
that these local Hardy spaces can be characterized by the the local
nontangential and radial maximal function charaterization related to
$\mathfrak{L}$ and $\rho$ and the global maximal function charaterizations
associated to `perturbations' of $\mathfrak{L}$. As applications, we apply our
theory to obtain a number of new results on maximal characterizations for the
local Hardy type spaces in various settings ranging from Shr\"odinger operators
on manifolds to Shr\"odinger operators on connected and simply connected
nilpotent Lie groups.


title:
A Continuous-Time Model of an Autonomous Aerial Vehicle to Inform and
  Validate Formal Verification Methods

abstract:
  If autonomous vehicles are to be widely accepted, we need to ensure their
safe operation. For this reason, verification and validation (V&V) approaches
must be developed that are suitable for this domain. Model checking is a formal
technique which allows us to exhaustively explore the paths of an abstract
model of a system. Using a probabilistic model checker such as PRISM, we may
determine properties such as the expected time for a mission, or the
probability that a specific mission failure occurs. However, model checking of
complex systems is difficult due to the loss of information during abstraction.
This is especially so when considering systems such as autonomous vehicles
which are subject to external influences. An alternative solution is the use of
Monte Carlo simulation to explore the results of a continuous-time model of the
system. The main disadvantage of this approach is that the approach is not
exhaustive as not all executions of the system are analysed. We are therefore
interested in developing a framework for formal verification of autonomous
vehicles, using Monte Carlo simulation to inform and validate our symbolic
models during the initial stages of development. In this paper, we present a
continuous-time model of a quadrotor unmanned aircraft undertaking an
autonomous mission. We employ this model in Monte Carlo simulation to obtain
specific mission properties which will inform the symbolic models employed in
formal verification.


title:
The double-degenerate, super-Chandrasekhar nucleus of the planetary
  nebula Henize 2-428

abstract:
  The planetary nebula (PN) stage is the ultimate fate of stars with mass 1 to
8 solar masses (M$_\odot$). The origin of their complex morphologies is poorly
understood, although several mechanisms involving binary interaction have been
proposed. In close binary systems, the orbital separation is short enough for
the primary star to overfill its Roche lobe as it expands during the Asymptotic
Giant Branch (AGB) phase. The excess material ends up forming a common-envelope
(CE) surrounding both stars. Drag forces would then result in the envelope
being ejected into a bipolar PN whose equator is coincident with the orbital
plane of the system. Systems in which both stars have ejected their envelopes
and evolve towards the white dwarf (WD) stage are called double-degenerates.
Here we report that Henize 2-428 has a double-degenerate core with a combined
mass unambiguously above the Chandrasekhar limit of 1.4 M$_\odot$. According to
its short orbital period (4.2 hours) and total mass (1.76 M$_\odot$), the
system should merge in 700 million years, triggering a Type Ia supernova (SN
Ia) event. This finding supports the double-degenerate, super-Chandrasekhar
evolutionary channel for the formation of SNe Ia.


title:
Existence and asymptotic behavior of nontrivial solutions to the
  Swift-Hohenberg equation

abstract:
  In this paper, we discuss several results regarding existence, non-existence
and asymptotic properties of solutions to $u""+qu"+f(u)=0$, under various
hypotheses on the parameter $q$ and on the potential $F(t)=\int_0^tf(s)\, ds$,
generally assumed to be bounded from below. We prove a non-existence result in
the case $q\le 0$ and an existence result of periodic solution for: 1) almost
every suitably small (depending on $F$), positive values of $q$; 2) all
suitably large (depending on $F$) values of $q$. Finally, we describe some
conditions on $F$ which ensure that some (or all) solutions $u_q$ to the
equation satisfy $\|u_q\|_\infty\to 0$, as $q\downarrow 0$.


title:
Wire and extended ladder model predict THz oscillations in DNA monomers,
  dimers and trimers

abstract:
  We call \textit{monomer} a B-DNA base pair and study, analytically and
numerically, electron or hole oscillations in \textit{monomers},
\textit{dimers} and \textit{trimers}. We employ two Tight Binding (TB)
approaches: (I) at the base-pair level, using the on-site energies of the base
pairs and the hopping parameters between successive base pairs i.e. \textit{a
wire model}, and (II) at the single-base level, using the on-site energies of
the bases and the hopping parameters between neighbouring bases, specifically
between (a) two successive bases in the same strand, (b) complementary bases
that define a base pair, and (c) diagonally located bases of successive base
pairs, i.e. \textit{an extended ladder model} since it also includes the
diagonal hoppings (c). For \textit{monomers}, with TB II, we predict periodic
carrier oscillations with frequency $f \approx$ 50-550 THz. For
\textit{dimers}, with TB I, we predict periodic carrier oscillations with $f
\approx$ 0.25-100 THz. For \textit{trimers made of identical monomers}, with TB
I, we predict periodic carrier oscillations with $f \approx$ 0.5-33 THz. In
other cases, either with TB I or TB II, the oscillations may be not strictly
periodic, but Fourier analysis shows similar frequency content. For dimers and
trimers, TB I and TB II are successfully compared giving complementary aspects
of the oscillations.


title: Lattice QCD study of heavy-heavy-light-light tetraquark candidates

abstract:
  We investigate heavy-light four-quark systems $ud\bar b \bar b$ with bottom
quarks of finite mass which are treated in the framework of NRQCD. We focus on
$I(J^P)=0(1^+)$, where we recently found evidence for the existence of a
tetraquark state using static bottom quarks. Furthermore, we report on an
investigation of the $u \bar d b \bar b$ four-quark system with quantum numbers
$I(J^P)=1(1^+)$ again using static bottom quarks.


title:
Pinning-depinning mechanism of the contact line during evaporation on
  chemically patterned surfaces: A lattice Boltzmann study

abstract:
  In this paper, the pinning and depinning mechanism of the contact line during
droplet evaporation on chemically stripe-patterned surfaces is numerically
investigated using a thermal multiphase lattice Boltzmann (LB) model with
liquid-vapor phase change. A local force balance in the context of diffuse
interfaces is introduced to explain the equilibrium states of droplets on
chemically patterned surfaces. It is shown that, when the contact line is
pinned on a hydrophobic-hydrophilic boundary, different contact angles can be
interpreted as the variation of the length of the contact line occupied by each
component. The stick-slip-jump behavior of evaporating droplets on chemically
patterned surfaces is well captured by the LB simulations. Particularly, a slow
movement of the contact line is clearly observed during the stick (pinning)
mode, which shows that the pinning of the contact line during droplet
evaporation on chemically stripe-patterned surfaces is actually a dynamic
pinning process and the dynamic equilibrium is achieved by the self-adjustment
of the contact lines occupied by each component. Moreover, it is shown that,
when the surface tension varies with the temperature, the Marangoni effect has
an important influence on the depinning of the contact line, which occurs when
the horizontal component (towards the center of the droplet) of the force
caused by the Marangoni stress overcomes the unbalanced Young's force towards
outside.


title:
A short review and primer on electroencephalography in human computer
  interaction applications

abstract:
  The application of psychophysiology in human-computer interaction is a
growing field with significant potential for future smart personalised systems.
Working in this emerging field requires comprehension of an array of
physiological signals and analysis techniques.
  Methods to study central nervous system (CNS) are usually expensive and
laborious. However, electroencephalography (EEG) is one of the most affordable
and ambulatory methodologies for CNS research. It is in use in various clinical
studies and have been broadly studied over decades. Despite that the recorded
EEG signals are quite prone to noise and environmental factors it is the most
widely used method in study of brain-computer interaction (BCI). Here we
discuss briefly on various aspects of the recorded signals, their
interpretation, and usage in the field of interaction studies.
  This paper aims to serve as a primer for the novice, enabling rapid
familiarisation with the latest core concepts. We put special emphasis on
everyday human-computer interface applications to distinguish from the more
common clinical or sports uses of psychophysiology.
  This paper is an extract from a comprehensive review of the entire field of
ambulatory psychophysiology, including 12 similar chapters, plus application
guidelines and systematic review. Thus any citation should be made using the
following reference:
  B. Cowley, M. Filetti, K. Lukander, J. Torniainen, A. Henelius, L. Ahonen, O.
Barral, I. Kosunen, T. Valtonen, M. Huotilainen, N. Ravaja, G. Jacucci. The
Psychophysiology Primer: a guide to methods and a broad review with a focus on
human-computer interaction. Foundations and Trends in Human-Computer
Interaction, vol. 9, no. 3-4, pp. 150--307, 2016.


title: Pointing System for the Balloon-Borne Astronomical Payloads

abstract:
  We describe the development and implementation of a light-weight, fully
autonomous 2-axis pointing and stabilization system designed for balloon-borne
astronomical payloads. The system is developed using off-the-shelf components
such as Arduino Uno controller, HMC 5883L magnetometer, MPU-9150 Inertial
Measurement Unit (IMU) and iWave GPS receiver unit. It is a compact and rugged
system which can also be used to take images/video in a moving vehicle, or in
areal photography. The system performance is evaluated from the ground, as well
as in conditions simulated to imitate the actual flight by using a tethered
launch.


title:
Competition for light in forest population dynamics: from computer
  simulator to mathematical model

abstract:
  In this article we build a mathematical model for forest growth and we
compare this model with a computer forest simulator named SORTIE. The main
ingredient taken into account in both models is the competition for light
between trees. The parameters of the mathematical model are estimated by using
SORTIE model, when the parameter values of SORTIE model correspond to the ones
previously evaluated for the Great Mountain Forest in USA. We construct a size
structured population dynamics model with one and two species and with spatial
structure.


title: Actuation performances of anisotropic gels

abstract:
  We investigated the actuation performances of anisotropic gels driven by
mechanical and chemical stimuli, in terms of both deformation processes and
stroke--curves, and distinguished between the fast response of gels before
diffusion starts and the asymptotic response attained at the steady state. We
also showed as the range of forces that an anisotropic hydrogel can exert when
constrained is especially wide;indeed, changing fiber orientation allows to
induce shear as well as transversely isotropic extensions.


title:
The 2015 outburst of the accreting millisecond pulsar IGR J17511-3057 as
  seen by INTEGRAL, Swift and XMM-Newton

abstract:
  We report on INTEGRAL, Swift and XMM-Newton observations of IGR J17511-3057
performed during the outburst that occurred between March 23 and April 25,
2015. The source reached a peak flux of 0.7(2)E-9 erg/cm$^2$/s and decayed to
quiescence in approximately a month. The X-ray spectrum was dominated by a
power-law with photon index between 1.6 and 1.8, which we interpreted as
thermal Comptonization in an electron cloud with temperature > 20 keV . A broad
({\sigma} ~ 1 keV) emission line was detected at an energy (E =
6.9$^{+0.2}_{-0.3}$ keV) compatible with the K{\alpha} transition of ionized
Fe, suggesting an origin in the inner regions of the accretion disk. The
outburst flux and spectral properties shown during this outburst were
remarkably similar to those observed during the previous accretion event
detected from the source in 2009. Coherent pulsations at the pulsar spin period
were detected in the XMM-Newton and INTEGRAL data, at a frequency compatible
with the value observed in 2009. Assuming that the source spun up during the
2015 outburst at the same rate observed during the previous outburst, we derive
a conservative upper limit on the spin down rate during quiescence of 3.5E-15
Hz/s. Interpreting this value in terms of electromagnetic spin down yields an
upper limit of 3.6E26 G/cm$^3$ to the pulsar magnetic dipole (assuming a
magnetic inclination angle of 30{\deg}). We also report on the detection of
five type-I X-ray bursts (three in the XMM-Newton data, two in the INTEGRAL
data), none of which indicated photospheric radius expansion.


title:
Variability, polarimetry, and timing properties of single pulses from
  PSR J1713+0747 using the Large European Array for Pulsars

abstract:
  Single pulses preserve information about the pulsar radio emission and
propagation in the pulsar magnetosphere, and understanding the behaviour of
their variability is essential for estimating the fundamental limit on the
achievable pulsar timing precision. Here we report the findings of our analysis
of single pulses from PSR J1713+0747 with data collected by the Large European
Array for Pulsars (LEAP). We present statistical studies of the pulse
properties that include distributions of their energy, phase and width. Two
modes of systematic sub-pulse drifting have been detected, with a periodicity
of 7 and 3 pulse periods. The two modes appear at different ranges of pulse
longitude but overlap under the main peak of the integrated profile. No
evidence for pulse micro-structure is seen with a time resolution down to 140
ns. In addition, we show that the fractional polarisation of single pulses
increases with their pulse peak flux density. By mapping the probability
density of linear polarisation position angle with pulse longitude, we reveal
the existence of two orthogonal polarisation modes. Finally, we find that the
resulting phase jitter of integrated profiles caused by single pulse
variability can be described by a Gaussian probability distribution only when
at least 100 pulses are used for integration. Pulses of different flux
densities and widths contribute approximately equally to the phase jitter, and
no improvement on timing precision is achieved by using a sub-set of pulses
with a specific range of flux density or width.


title: Dual Capacity Upper Bounds for Noisy Runlength Constrained Channels

abstract:
  Binary-input memoryless channels with a runlength constrained input are
considered. Upper bounds to the capacity of such noisy runlength constrained
channels are derived using the dual capacity method with Markov test
distributions satisfying the Karush-Kuhn-Tucker (KKT) conditions for the
capacity-achieving output distribution. Simplified algebraic characterizations
of the bounds are presented for the binary erasure channel (BEC) and the binary
symmetric channel (BSC). These upper bounds are very close to achievable rates,
and improve upon previously known feedback-based bounds for a large range of
channel parameters. For the binary-input Additive White Gaussian Noise (AWGN)
channel, the upper bound is simplified to a small-scale numerical optimization
problem. These results provide some of the simplest upper bounds for an open
capacity problem that has theoretical and practical relevance.


title:
Hadamard property of the in and out states for Klein-Gordon fields on
  asymptotically static spacetimes

abstract:
  We consider the massive Klein-Gordon equation on a class of asymptotically
static spacetimes (in the long range sense) with Cauchy surface of bounded
geometry. We prove the existence and Hadamard property of the in and out states
constructed by scattering theory methods.


title:
A singular perturbation limit of diffused interface energy with a fixed
  contact angle condition

abstract:
  We study a general asymptotic behavior of critical points of a diffused
interface energy with a fixed contact angle condition defined on a domain
$\Omega \subset \mathbb{R}^n$. We show that the limit varifold derived from the
diffused energy satisfies a generalized contact angle condition on the boundary
under a set of assumptions.


title: The massive Feynman propagator on asymptotically Minkowski spacetimes

abstract:
  We consider the massive Klein-Gordon equation on asymptotically Minkowski
spacetimes, in the sense that the manifold is $R^{1+d}$ and the metric
approaches that of Minkowski space at infinity in a short-range way (jointly in
time and space variables). In this setup we define Feynman and anti-Feynman
scattering data and prove the Fredholm property of the Klein-Gordon operator
with the associated Atiyah-Patodi-Singer type boundary conditions at infinite
times. We then construct a parametrix (with compact remainder terms) for the
Fredholm problem and prove that it is also a Feynman parametrix in the sense of
Duistermaat and H\"ormander.


title:
Gamma-ray burst polarization reduction induced by the Lorentz invariance
  violation

abstract:
  It has been observed that photons in the prompt emission of some gamma-ray
bursts (GRBs) are highly polarized. The high polarization is used by some
authors to give a strict constraint on the Lorentz invariance violation (LIV).
If the Lorentz invariance is broken, the polarization vector of a photon may
rotate during its propagation. The rotation angle of polarization vector
depends on both the photon energy and the distance of source. It is believed
that if high polarization is observed, then the relative rotation angle
(denoted by $\alpha$) of polarization vector of the highest energy photon with
respect to that of the lowest energy photon should be no more than $\pi/2$.
Otherwise, the net polarization will be severely suppressed, thus couldn't be
as high as what was actually observed. In this paper, we will give a detailed
calculation on the evolution of GRB polarization arising from LIV effect
duration the propagation. It is shown that the polarization degree rapidly
decrease as $\alpha$ increases, and reaches a local minimum at $\alpha\approx
\pi$, then increases until $\alpha\approx 3\pi/2$, after that decreases again
until $\alpha \approx 2\pi$, etc. The polarization degree as a function of
$\alpha$ oscillates with a quasi-period $T\approx \pi$, while the oscillating
amplitude gradually decreases to zero. Moreover, we find that a considerable
amount (more than $60\%$ of the initial polarization) of polarization degree
can be conserved when $\alpha\approx \pi/2$. The polarization observation in a
higher and wider energy band, a softer photon spectrum, and a higher redshift
GRB is favorable in order to tightly constrain LIV effect.


title: Making two dysprosium atoms rotate - Einstein-de Haas effect revisited

abstract:
  We present a numerical study of the behaviour of two magnetic dipolar atoms
trapped in a harmonic potential and exhibiting the standard Einstein-de Haas
effect while subject to a time dependent homogeneous magnetic field. Using a
simplified description of the short range interaction and the full expression
for the dipole-dipole forces we show, that under experimentally realisable
conditions two dysprosium atoms may be pumped to a high ($l>20$) value of the
relative orbital angular momentum.


title: Designing a semantic model for a wide-spectrum language with concurrency

abstract:
  A wide-spectrum language integrates specification constructs into a
programming language in a manner that treats a specification command just like
any other command. This paper investigates a semantic model for a wide-spectrum
language that supports concurrency and a refinement calculus. In order to
handle specifications with rely and guarantee conditions, the model includes
explicit environment steps as well as program steps. A novelty of our approach
is that we define a set of primitive commands and operators, from which more
complex specification and programming language commands are built. The
primitives have simple algebraic properties which support proof using algebraic
reasoning. The model is general enough to specify notions as diverse as
rely-guarantee reasoning, temporal logic, and progress properties of programs,
and supports refining specifications to code. It also forms an instance of an
abstract concurrent program algebra, which facilitates reasoning about
properties of the model at a high level of abstraction.


title:
Time-series Doppler images and surface differential rotation of the
  effectively-single rapidly-rotating K-giant KU Pegasi

abstract:
  According to most stellar dynamo theories, differential rotation (DR) plays a
crucial role for the generation of toroidal magnetic fields. Numerical models
predict surface differential rotation to be anti-solar for rapidly-rotating
giant stars, i.e., their surface angular velocity could increase with stellar
latitude. However, surface differential rotation has been derived only for a
handful of individual giant stars to date.
  The spotted surface of the K-giant KU Pegasi is investigated in order to
detect its time evolution and quantify surface differential rotation.
  We present altogether 11 Doppler images from spectroscopic data collected
with the robotic telescope STELLA between 2006--2011. All maps are obtained
with the surface reconstruction code iMap. Differential rotation is extracted
from these images by detecting systematic (latitude-dependent) spot
displacements. We apply a cross-correlation technique to find the best
differential rotation law.
  The surface of KU Peg shows cool spots at all latitudes and one persistent
warm spot at high latitude. A small cool polar spot exists for most but not all
of the epochs. Re-identification of spots in at least two consecutive maps is
mostly possible only at mid and high latitudes and thus restricts the
differential-rotation determination mainly to these latitudes. Our
cross-correlation analysis reveals solar-like differential rotation with a
surface shear of $\alpha=+0.040\pm0.006$, i.e., approximately five times weaker
than on the Sun. We also derive a more accurate and consistent set of stellar
parameters for KU Peg including a small Li abundance of ten times less than
solar.


title:
The VLT-FLAMES Tarantula Survey XXV. Surface nitrogen abundances of
  O-type giants and supergiants

abstract:
  Theoretically, rotation-induced chemical mixing in massive stars has far
reaching evolutionary consequences, affecting the sequence of morphological
phases, lifetimes, nucleosynthesis, and supernova characteristics. Using a
sample of 72 presumably single O-type giants to supergiants observed in the
context of the VLT-FLAMES Tarantula Survey (VFTS), we aim to investigate
rotational mixing in evolved core-hydrogen burning stars initially more massive
than $15\,M_\odot$ by analysing their surface nitrogen abundances. Using
stellar and wind properties derived in a previous VFTS study, we constrained
the nitrogen abundance by fitting the equivalent widths of relatively strong
lines that are sensitive to changes in the abundance of this element. Given the
quality of the data, we constrained the nitrogen abundance in 38 cases; for 34
stars only upper limits could be derived, which includes almost all stars
rotating at $v_\mathrm{e}\sin i >200\,\mathrm{km s^{-1}}$. We analysed the
nitrogen abundance as a function of projected rotation rate $v_\mathrm{e}\sin
i$ and confronted it with predictions of rotational mixing. The upper limits on
the nitrogen abundance of the rapidly rotating stars are not in apparent
violation with theoretical expectations. However, we found a group of
N-enhanced slowly-spinning stars that is not in accordance with predictions of
rotational mixing in single stars. Among O-type stars with (rotation-corrected)
gravities less than $\log\,g_c = 3.75$ this group constitutes 30$-$40 percent
of the population. We found a correlation between nitrogen and helium abundance
which is consistent with expectations, suggesting that, whatever the mechanism
that brings N to the surface, it displays CNO-processed material.


title: Bound states and field-polarized Haldane modes in a quantum spin ladder

abstract:
  The challenge of one-dimensional systems is to understand their physics
beyond the level of known elementary excitations. By high-resolution neutron
spectroscopy in a quantum spin ladder material, we probe the leading
multiparticle excitation by characterizing the two-magnon bound state at zero
field. By applying high magnetic fields, we create and select the singlet
(longitudinal) and triplet (transverse) excitations of the fully spin-polarized
ladder, which have not been observed previously and are close analogs of the
modes anticipated in a polarized Haldane chain. Theoretical modelling of the
dynamical response demonstrates our complete quantitative understanding of
these states.


title:
Semileptonic decays of $\Lambda_b$ baryons in the relativistic quark
  model

abstract:
  Semileptonic $\Lambda_b$ decays are investigated in the framework of the
relativistic quark model based on the quasipotential approach and the
quark-diquark picture of baryons. The decay form factors are expressed through
the overlap integrals of the initial and final baryon wave functions. All
calculations are done without employing nonrelativistic and heavy quark
expansions. The momentum transfer dependence of the decay form factors is
explicitly determined in the whole accessible kinematical range without any
extrapolations or model assumptions. Both the heavy-to-heavy
$\Lambda_b\to\Lambda_c\ell\nu_\ell$ and heavy-to-light $\Lambda_b\to
p\ell\nu_\ell$ decay branching fractions are calculated. The results agree
within error bars with the experimental value of the branching fraction of the
$\Lambda_b\to\Lambda_c^+l^-\bar\nu_l$ decay. From the recent LHCb data on the
ratio of the branching fractions of the heavy-to-light and heavy-to-heavy
semileptonic $\Lambda_b$ decays the ratio of the Cabbibo-Kobayashi-Maskawa
matrix elements $|V_{ub}|/|V_{cb}|$ is obtained. It is consistent with the
corresponding ratio determined from the inclusive $B$ meson decays.


title: Kernel Phase and Kernel Amplitude in Fizeau Imaging

abstract:
  Kernel phase interferometry is an approach to high angular resolution imaging
which enhances the performance of speckle imaging with adaptive optics. Kernel
phases are self-calibrating observables that generalize the idea of closure
phases from non-redundant arrays to telescopes with arbitrarily shaped pupils,
by considering a matrix-based approximation to the diffraction problem. In this
paper I discuss the recent history of kernel phase, in particular in the
matrix-based study of sparse arrays, and propose an analogous generalization of
the closure amplitude to kernel amplitudes. This new approach can
self-calibrate throughput and scintillation errors in optical imaging, which
extends the power of kernel phase-like methods to symmetric targets where
amplitude and not phase calibration can be a significant limitation, and will
enable further developments in high angular resolution astronomy.


title:
Magnetic structure of the noncentrosymmetric heavy-fermion
  superconductor CePt3Si

abstract:
  We have determined the magnetic structure of the noncentrosymmetric
heavy-fermion superconductor CePt3Si using elastic polarized neutron scattering
with field-projected (longitudinal) XYZ polarization analysis. We find that the
magnetic moment has components both in the tetragonal basal plane and along the
tetragonal four-fold axis. Such a magnetic structure is not symmetry-allowed if
the magnetic phase transition is second order, and may imply that CePt3Si has
lower symmetry in the superconducting state than originally thought.


title:
Model of fragmentation of the exciton inner ring in semiconductor
  quantum wells

abstract:
  The appearance of the non-homogeneous structures of the indirect exciton
density distribution in the region of the quantum well (in the region of the
inner ring) is explained. The structure (the fragmentation) occurs due to the
exciton condensed phase formation because of interaction between excitons. The
formation of the structure is related with the non-equalibrity of the system,
which is caused by the exciton finite lifetime and the presence of the pumpimg.
The structure emerges in the shape of a set of islands or circles of the
condensed phase. The structure type depends on the pumping intensity, the size
of the laser spot and disappears with increasing the temperature. The merging
of two structures, created by different laser spots, is investigated at
decreasing the distance between the centers of the spots.


title:
Employing traditional machine learning algorithms for big data streams
  analysis: the case of object trajectory prediction

abstract:
  In this paper, we model the trajectory of sea vessels and provide a service
that predicts in near-real time the position of any given vessel in 4', 10',
20' and 40' time intervals. We explore the necessary tradeoffs between
accuracy, performance and resource utilization are explored given the large
volume and update rates of input data. We start with building models based on
well-established machine learning algorithms using static datasets and
multi-scan training approaches and identify the best candidate to be used in
implementing a single-pass predictive approach, under real-time constraints.
The results are measured in terms of accuracy and performance and are compared
against the baseline kinematic equations. Results show that it is possible to
efficiently model the trajectory of multiple vessels using a single model,
which is trained and evaluated using an adequately large, static dataset, thus
achieving a significant gain in terms of resource usage while not compromising
accuracy.


title: Strong constraints of LUX-2016 results on the natural NMSSM

abstract:
  Given the fact that the relatively light Higgsino mass $\mu$ favored in
natural supersymmetry usually results in a sizable scattering cross section
between the neutralino dark matter and the nucleon, we study the impact of the
recently updated direct detection bounds from LUX experiment, including both
Spin Independent (SI) and Spin Dependent (SD) measurements, on the parameter
space of natural Next-to-Minimal Supersymmetric Standard Model (nNMSSM).
Different from the common impression that the SI bound is stronger than the SD
one, we find that the SD bound is complementary to the SI bound and in some
cases much more powerful than the latter in limiting the nNMSSM scenarios.
After considering the LUX results, nNMSSM is severely limited, e.g. for the
peculiar scenarios of the NMSSM where the next-to-lightest CP-even Higgs
corresponds to the $125 {\rm GeV}$ Higgs boson discovered at the LHC, the
samples obtained in our random scan are excluded by more than $85\%$. By
contrast, the monojet search at the LHC Run-I can not exclude any sample of
nNMSSM. We also investigate the current status of nNMSSM and conclude that,
although the parameter points with low fine tuning are still attainable, they
are distributed in some isolated parameter islands which are difficult to get.
Future dark matter direct search experiments such as XENON-1T will provide a
better test of nNMSSM.


title:
Mass spectra in ${\cal N}=1$ SQCD with additional colorless fields.
  Strong coupling regimes. II

abstract:
  This paper continues our studies in arXiV:1608.06452 [hep-th] of ${\cal N}=1$
gauge theories in the strongly coupled regimes. We also consider here the
${\cal N}=1$ SQCD-like theories with $SU(N_c)$ colors (and their Seiberg's
dual), with $N_F$ flavors of light quarks and $N_F^2$ additional colorless
flavored scalars $\Phi^j_i$, but now with $N_F$ in the range $N_F>3N_c$.
  The mass spectra of these direct and dual theories in various vacua are
calculated within the dynamical scenario introduced by the author in [8]. It
assumes that quarks in such ${\cal N}=1$ SQCD-like theories without elementary
colored adjoint scalars can be in two {\it standard} phases only. These are
either the HQ (heavy quark) phase where they are confined or the Higgs phase.
Recall that this scenario satisfies all those tests which were used as checks
of the Seiberg hypothesis about the equivalence of the direct and dual
theories. Calculated mass spectra of the direct $SU(N_c)$ theory are compared
to those of its Seiberg's dual $SU(N_F-N_c)$ variant and appeared to be
parametrically different.


title: Optimal point sets determining few distinct triangles

abstract:
  We generalize work of Erdos and Fishburn to study the structure of finite
point sets that determine few distinct triangles. Specifically, we ask for a
given $t$, what is the maximum number of points that can be placed in the plane
to determine exactly $t$ distinct triangles? Denoting this quantity by $F(t)$,
we show that $F(1) = 4$, $F(2) = 5$, and $F(t) < 48(t+1)$ for all $t$. We also
completely characterize the optimal configurations for $t = 1, 2$.


title: Gravitational action with null boundaries

abstract:
  We present a complete discussion of the boundary term in the action
functional of general relativity when the boundary includes null segments in
addition to the more usual timelike and spacelike segments. We confirm that
ambiguities appear in the contribution from a null segment, because it depends
on an arbitrary choice of parametrization for the generators. We also show that
similar ambiguities appear in the contribution from a codimension-two surface
at which a null segment is joined to another (spacelike, timelike, or null)
segment. The parametrization ambiguity can be tamed by insisting that the null
generators be affinely parametrized; this forces each null contribution to the
boundary action to vanish, but leaves intact the fredom to rescale the affine
parameter by a constant factor on each generator. Once a choice of
parametrization is made, the ambiguity in the joint contributions can be
eliminated by formulating well-motivated rules that ensure the additivity of
the gravitational action. Enforcing these rules, we calculate the time rate of
change of the action when it is evaluated for a so-called "Wheeler-deWitt
patch" of a black hole in asymptotically-anti de Sitter space. We recover a
number of results cited in the literature, obtained with a less complete
analysis.


title: Miniclusters in the Axiverse

abstract:
  If dark matter is an axion-like-particle a significant fraction of the
present day relic abundance could be concentrated in compact gravitationally
bound miniclusters. We study the minicluster masses compatible with the dark
matter relic density constraint. If they form from fluctuations produced by PQ
symmetry breaking, minicluster masses up to hundreds of solar masses are
possible, although over most of the parameter space they are much lighter. The
size of these objects is typically within a few orders of magnitude of an
astronomical unit. We also show that miniclusters can form if an axion gets
mass from a hidden sector with a first order phase transition that takes a
relatively long time to complete. Therefore they can appear in models where PQ
symmetry is broken before inflation, compatible with large axion decay
constants and string theory UV completions.


title:
The properties, origin and evolution of stellar clusters in galaxy
  simulations and observations

abstract:
  We investigate the properties and evolution of star particles in two
simulations of isolated spiral galaxies, and two galaxies from cosmological
simulations. Unlike previous numerical work, where typically each star particle
represents one `cluster', for the isolated galaxies we are able to model
features we term `clusters' with groups of particles. We compute the spatial
distribution of stars with different ages, and cluster mass distributions,
comparing our findings with observations including the recent LEGUS survey. We
find that spiral structure tends to be present in older (100s Myrs) stars and
clusters in the simulations compared to the observations. This likely reflects
differences in the numbers of stars or clusters, the strength of spiral arms,
and whether the clusters are allowed to evolve. Where we model clusters with
multiple particles, we are able to study their evolution. The evolution of
simulated clusters tends to follow that of their natal gas clouds. Massive,
dense, long-lived clouds host massive clusters, whilst short-lived clouds host
smaller clusters which readily disperse. Most clusters appear to disperse
fairly quickly, in basic agreement with observational findings. We note that
embedded clusters may be less inclined to disperse in simulations in a galactic
environment with continuous accretion of gas onto the clouds than isolated
clouds and correspondingly, massive young clusters which are no longer
associated with gas tend not to occur in the simulations. Caveats of our models
include that the cluster densities are lower than realistic clusters, and the
simplistic implementation of stellar feedback.


title: On reweighting for twisted boundary conditions

abstract:
  We consider the possibility of using reweighting techniques in order to
correct for the breaking of unitarity when twisted boundary conditions are
imposed on valence fermions in simulations of lattice gauge theories. We start
by studying the properties of reweighting factors and their variances at
tree-level. That leads us to the introduction of a factorization for the
fermionic reweighting determinant. In the numerical, stochastic, implementation
of the method, we find that the effect of reweighting is negligible in the case
of large volumes but it is sizeable when the volumes are small and the twisting
angles are large. More importantly, we find that for un-improved Wilson
fermions, and in small volumes, the dependence of the critical quark mass on
the twisting angle is quite pronounced and results in large violations of the
continuum dispersion relation.


title: On the complexity of failed zero forcing

abstract:
  Let $G$ be a simple graph whose vertices are partitioned into two subsets,
called filled vertices and empty vertices. A vertex $v$ is said to be forced by
a filled vertex $u$ if $v$ is a unique empty neighbor of $u$. If we can fill
all the vertices of $G$ by repeatedly filling the forced ones, then we call an
initial set of filled vertices a forcing set. We discuss the so-called failed
forcing number of a graph, which is the largest cardinality of a set which is
not forcing. Answering the recent question of Ansill, Jacob, Penzellna,
Saavedra, we prove that this quantity is NP-hard to compute. Our proof also
works for a related graph invariant which is called the skew failed forcing
number.


title:
Optical orientation of spins in GaAs:Mn/AlGaAs quantum wells via
  impurity-to-band excitation

abstract:
  The paper reports optical orientation experiments performed in the narrow
GaAs/AlGaAs quantum wells doped with Mn. We experimentally demonstrate a
control over the spin polarization by means of the optical orientation via the
impurity-to-band excitation and observe a sign inversion of the luminescence
polarization depending on the pump power. The g factor of a hole localized on
the Mn acceptor in the quantum well was also found to be considerably modified
from its bulk value due to the quantum confinement effect. This finding shows
the importance of the local environment on magnetic properties of the dopants
in semiconductor nanostructures.


title:
A Nash-Moser-H\"ormander implicit function theorem with applications to
  control and Cauchy problems for PDEs

abstract:
  We prove an abstract Nash-Moser implicit function theorem which, when applied
to control and Cauchy problems for PDEs in Sobolev class, is sharp in terms of
the loss of regularity of the solution of the problem with respect to the data.
The proof is a combination of: (i) the iteration scheme by H\"ormander (ARMA
1976), based on telescoping series, and very close to the original one by Nash;
(ii) a suitable way of splitting series in scales of Banach spaces, inspired by
a simple, clever trick used in paradifferential calculus (for example, by
M\'etivier). As an example of application, we apply our theorem to a control
and a Cauchy problem for quasi-linear perturbations of KdV equations, improving
the regularity of a previous result. With respect to other approaches to
control and Cauchy problems, the application of our theorem requires lighter
assumptions to be verified.


title: Separability of Reachability Sets of Vector Addition Systems

abstract:
  Given two families of sets $\mathcal{F}$ and $\mathcal{G}$, the $\mathcal{F}$
separability problem for $\mathcal{G}$ asks whether for two given sets $U, V
\in \mathcal{G}$ there exists a set $S \in \mathcal{F}$, such that $U$ is
included in $S$ and $V$ is disjoint with $S$. We consider two families of sets
$\mathcal{F}$: modular sets $S \subseteq \mathbb{N}^d$, defined as unions of
equivalence classes modulo some natural number $n \in \mathbb{N}$, and unary
sets. Our main result is decidability of modular and unary separability for the
class $\mathcal{G}$ of reachability sets of Vector Addition Systems, Petri
Nets, Vector Addition Systems with States, and for sections thereof.


title: New characterizations of the S topology on the Skorokhod space

abstract:
  The $S$ topology on the Skorokhod space was introduced by the author in 1997
and since then it proved to be a useful tool in several areas of the theory of
stochastic processes. The paper brings complementary information on the $S$
topology. It is shown that the convergence of sequences in the $S$ topology
admits a compact description, exhibiting the locally convex character of the
$S$ topology. It is also shown that $S$ is, up to some technicalities, finer
than any linear topology which is coarser than Skorokhod's $J_1$ topology. The
paper contains also definitions of extensions of the $S$ topology to the
Skorokhod space of functions defined on $[0,+\infty)$ and with multidimensional
values.


title: Asymmetric transmission of surface plasmon polaritons on planar gratings

abstract:
  We describe a surface structure consisting of a metal-air interface where the
metallic part consists of two metallic segments with a periodic modulation of
the interface between them. Such a structure possesses a different
transmissivity for a surface plasmon polariton incident on it from one side of
it than it has for a surface plasmon polariton incident on it from the opposite
side. This asymmetric transmission of a surface plasmon polariton is based on
the suppression of the zero-order Bragg beam which, for a certain value of the
modulation depth, is not transmitted through the structure, while the
diffraction efficiencies of the +1 and -1 Bragg beams can be modified by
varying the period of grating and/or the angle of incidence. For a certain
range of the incidence angle one can observe asymmetry in transmittance for the
-1 mode while the +1 mode is completely suppressed. By varying the material and
geometrical parameters of the diffractive structure one can control the
contrast transmission that characterizes the degree of the asymmetry. This
property of the structure is demonstrated by the results of computer simulation
calculations.


title: Short closed geodesics with self-intersections

abstract:
  Our main point of focus is the set of closed geodesics on hyperbolic
surfaces. For any fixed integer $k$, we are interested in the set of all closed
geodesics with at least $k$ (but possibly more) self-intersections. Among
these, we consider those of minimal length and investigate their
self-intersection numbers. We prove that their intersection numbers are upper
bounded by a universal linear function in $k$ (which holds for any hyperbolic
surface). Moreover, in the presence of cusps, we get bounds which imply that
the self-intersection numbers behave asymptotically like $k$ for growing $k$.


title: On Polya' Theorem in Several Complex Variables

abstract:
  Let $K$ be a compact set in $\mathbb{C}$, $f$ a function analytic in
$\overline{\mathbb{C}}\smallsetminus K$ vanishing at $\infty $. Let $% f\left(
z\right) =\sum_{k=0}^{\infty }a_{k}\ z^{-k-1}$ be its Taylor expansion at
$\infty $, and $H_{s}\left( f\right) =\det \left( a_{k+l}\right) _{k,l=0}^{s}$
the sequence of Hankel determinants. The classical Polya inequality says that
\[ \limsup\limits_{s\rightarrow \infty }\left\vert H_{s}\left( f\right)
\right\vert ^{1/s^{2}}\leq d\left( K\right) , \]% where $d\left( K\right) $ is
the transfinite diameter of $K$. Goluzin has shown that for some class of
compacta this inequality is sharp. We provide here a sharpness result for the
multivariate analog of Polya's inequality, considered by the second author in
Math. USSR Sbornik, 25 (1975), 350-364.


title:
Hydrodynamical model atmospheres: Their impact on stellar spectroscopy
  and asteroseismology of late-type stars

abstract:
  Hydrodynamical, i.e. multi-dimensional and time-dependent, model atmospheres
of late-type stars have reached a high level of realism. They are commonly
applied in high-fidelity work on stellar abundances but also allow the study of
processes that are not modelled in standard, one-dimensional hydrostatic model
atmospheres. Here, we discuss two observational aspects that emerge from such
processes, the photometric granulation background and the spectroscopic
microturbulence. We use CO5BOLD hydrodynamical model atmospheres to
characterize the total granular brightness fluctuations and characteristic time
scale for FGK stars. Emphasis is put on the diagnostic potential of the
granulation background for constraining the fundamental atmospheric parameters.
We find a clear metallicity dependence of the granulation background. The
comparison between the model predictions and available observational
constraints at solar metallicity shows significant differences, that need
further clarification. Concerning microturbulence, we report on the derivation
of a theoretical calibration based on CO5BOLD models, which shows good
correspondence with the measurements for stars in the Hyades. We emphasize the
importance of a consistent procedure when determining the microturbulence, and
point to limitations of the commonly applied description of microturbulence in
hydrostatic model atmospheres.


title: Pseudodoping of Metallic Two-Dimensional Materials

abstract:
  We demonstrate how weak hybridization can lead to apparent heavy doping of 2d
materials even in case of physisorptive binding. Combining ab-intio
calculations and a generic model we show that strong reshaping of Fermi
surfaces and changes in Fermi volumes on the order of several 10$\%$ can arise
without actual charge transfer. This pseudodoping mechanism is very generically
effective in metallic 2d materials either weakly absored to metallic substrates
or embedded in vertical heterostructures. It can explain strong apparent doping
of TaS2 on Au (111) observed in recent experiments. Consequences of
pseudodoping for many-body instabilities are discussed.


title: Segmentation Free Object Discovery in Video

abstract:
  In this paper we present a simple yet effective approach to extend without
supervision any object proposal from static images to videos. Unlike previous
methods, these spatio-temporal proposals, to which we refer as tracks, are
generated relying on little or no visual content by only exploiting bounding
boxes spatial correlations through time. The tracks that we obtain are likely
to represent objects and are a general-purpose tool to represent meaningful
video content for a wide variety of tasks. For unannotated videos, tracks can
be used to discover content without any supervision. As further contribution we
also propose a novel and dataset-independent method to evaluate a generic
object proposal based on the entropy of a classifier output response. We
experiment on two competitive datasets, namely YouTube Objects and ILSVRC-2015
VID.


title: Ternary Neural Networks for Resource-Efficient AI Applications

abstract:
  The computation and storage requirements for Deep Neural Networks (DNNs) are
usually high. This issue limits their deployability on ubiquitous computing
devices such as smart phones, wearables and autonomous drones. In this paper,
we propose ternary neural networks (TNNs) in order to make deep learning more
resource-efficient. We train these TNNs using a teacher-student approach based
on a novel, layer-wise greedy methodology. Thanks to our two-stage training
procedure, the teacher network is still able to use state-of-the-art methods
such as dropout and batch normalization to increase accuracy and reduce
training time. Using only ternary weights and activations, the student ternary
network learns to mimic the behavior of its teacher network without using any
multiplication. Unlike its -1,1 binary counterparts, a ternary neural network
inherently prunes the smaller weights by setting them to zero during training.
This makes them sparser and thus more energy-efficient. We design a
purpose-built hardware architecture for TNNs and implement it on FPGA and ASIC.
We evaluate TNNs on several benchmark datasets and demonstrate up to 3.1x
better energy efficiency with respect to the state of the art while also
improving accuracy.


title:
Computing intersection numbers and bases of cohomology groups for
  triangulated closed three-dimensional manifolds

abstract:
  We solve some computational problems for triangulated closed
three-dimensional manifolds using groups of simplicial homology and cohomology
modulo 2. Two efficient algorithms for computing the intersection numbers of 1-
and 2-dimensional cycles are developed. By means of these algorithms it is
possible to construct a basis of cohomology group from the homology group of
two cycles of complementary dimensions.


title:
Stellar Systems in the direction of the Hickson Compact Group 44 - I.
  Low Surface Brightness Galaxies

abstract:
  Context. In spite of the numerous studies of low-luminosity galaxies in
different environments, there is still no consensus about their formation
scenario. In particular, a large number of galaxies displaying extremely
low-surface brightnesses have been detected in the last year, and the nature of
these objects is under discussion. Aims. In this paper we report the detection
of two extended low-surface brightness (LSB) objects (mueff_g'~27 mag) found,
in projection, next to NGC 3193 and in the zone of the Hickson Compact Group
(HCG) 44, respectively. Methods. We analyzed deep, high-quality, GEMINI-GMOS
images with ELLIPSE within IRAF in order to obtain their brightness profiles
and structural parameters. We also search for the presence of globular clusters
(GC) in these fields. Results. We have found that, if these LSB galaxies were
at the distances of NGC 3193 and HCG 44, they would show sizes and luminosities
similar to those of the ultra-diffuse galaxies (UDGs) found in the Coma cluster
and other associations. In that case, their sizes would be rather larger than
those displayed by the Local Group dwarf spheroidal (dSph) galaxies. We have
detected a few unresolved sources in the sky zone occupied by these galaxies
showing colors and brightnesses typical of blue globular clusters. Conclusions.
From the comparison of the properties of the galaxies presented in this work,
with those of similar objects reported in the literature, we have found that
LSB galaxies display sizes covering a quite extended continous range (reff ~
0.3 - 4.5 kpc), in contrast to "normal" early-type galaxies, which shows reff ~
1.0 kpc with a low dispersion. This fact might be pointing to different
formation processes for both types of galaxies.


title:
Random-Training-Assisted Pilot Spoofing Detection and Secure
  Transmission

abstract:
  The pilot spoofing attack is considered as an active eavesdropping activity
launched by an adversary during the reverse channel training phase. By
transmitting the same pilot signal as the legitimate user, the pilot spoofing
attack is able to degrade the quality of legitimate transmission and, more
severely, facilitate eavesdropping. In an effort to detect the pilot spoofing
attack and minimize its damages, in this paper we propose a novel
random-training-assisted (RTA) pilot spoofing detection algorithm. In
particular, we develop a new training mechanism by adding a random training
phase after the conventional pilot training phase. By examining the difference
of the estimated legitimate channels during these two phases, the pilot
spoofing attack can be detected accurately. If no spoofing attack is detected,
we present a computationally efficient channel estimation enhancement algorithm
to further improve the channel estimation accuracy. If the existence of the
pilot spoofing attack is identified, a zero-forcing (ZF)-based secure
transmission scheme is proposed to protect the confidential information from
the active eavesdropper. Extensive simulation results demonstrate that the
proposed RTA scheme can achieve efficient pilot spoofing detection, accurate
channel estimation, and secure transmission.


title:
Experimental multipartite entanglement and randomness certification of
  the W state in the quantum steering scenario

abstract:
  Recently [Cavalcanti \textit{et al.} Nat Commun \textbf{6}, 7941 (2015)]
proposed a method to certify the presence of entanglement in asymmetric
networks, where some users do not have control over the measurements they are
performing. Such asymmetry naturally emerges in realistic situtations, such as
in cryptographic protocols over quantum networks. Here we implement such
"semi-device independent" techniques to experimentally witness all types of
entanglement on a three-qubit photonic W state. Furthermore we analise the
amount of genuine randomness that can be certified in this scenario from any
bipartition of the three-qubit W state.


title: Quark Confinement, New Cosmic Expansion and General Yang-Mills Symmetry

abstract:
  We discuss a unified model of quark confinement and new cosmic expansion with
linear potentials based on a general $(SU_3)_{color} \times (U_1)_{baryon}$
symmetry. The phase functions in the usual gauge transformations are
generalized to new `action integrals'. The general Yang-Mills transformations
have group properties and reduce to usual gauge transformations in special
cases. Both quarks and `gauge bosons' are permanently confined by linear
potentials. In this unified model of particle-cosmology, physics in the largest
cosmos and that in the smallest quark system appear to both be dictated by the
general Yang-Mills symmetry and characterized by a universal length. The basic
force between two baryons is independent of distance. However, the cosmic
repulsive force exerted on a baryonic supernova by a uniform sphere of galaxies
is proportional to the distance from the center of the sphere. The new general
Yang-Mills field may give a field-theoretic explanation of the accelerated
cosmic expansion. The prediction could be tested experimentally by measuring
the frequency shifts of supernovae at different distances.


title:
Observation of Ten-photon Entanglement Using Thin BiB$_{3}$O$_{6}$
  Crystals

abstract:
  We report on the experimental realization of a ten-photon
Greenberger-Horne-Zeilinger state using thin BiB$_{3}$O$_{6}$ crystals. The
observed fidelity is $0.606\pm0.029$, demonstrating a genuine entanglement with
a standard deviation of 3.6 $\sigma$. This result is further verified using
$p$-value calculation, obtaining an upper bound of $3.7\times10^{-3}$ under an
assumed hypothesis test. Our experiment paves a new way to efficiently engineer
BiB$_{3}$O$_{6}$ crystal-based multi-photon entanglement systems, which
provides a promising platform for investigating advanced optical quantum
information processing tasks such as boson sampling, quantum error correction
and quantum-enhanced measurement.


title:
Charge symmetry breaking in $\Lambda$ hypernuclei: updated HYP 2015
  progress report

abstract:
  Ongoing progress in understanding and evaluating charge symmetry breaking in
$\Lambda$ hypernuclei is discussed in connection to recent measurements of the
$_{\Lambda}^{4}{\rm H}(0^+_{\rm g.s.})$ binding energy at MAMI [A1
Collaboration: PRL 114 (2015) 232501] and of the $_{\Lambda}^{4}{\rm
He}(1^+_{\rm exc})$ excitation energy at J-PARC [E13 Collaboration: PRL 115
(2015) 222501].


title:
Controlling Marangoni induced instabilities in spin-cast polymer films:
  how to prepare uniform films

abstract:
  In both research and industrial settings spin coating is extensively used to
prepare highly uniform thin polymer films. However, under certain conditions,
spin coating results in films with non-uniform surface morphologies. Although
the spin coating process has been extensively studied, the origin of these
morphologies is not fully understood and the formation of non-uniform spincast
films remains a practical problem. Here we report on experiments demonstrating
that the formation of surface instabilities during spin coating is dependent on
temperature. Our results suggest that non-uniform spincast films form as a
result of the Marangoni effect, which describes flow due to surface tension
gradients. We find that both the wavelength and amplitude of the pattern
increase with temperature. Finally, and most important from a practical
viewpoint, the non-uniformities in the film thickness can be entirely avoided
simply by lowering the spin coating temperature.


title: There are infinitely many elliptic Carmichael numbers

abstract:
  In 1987, Dan Gordon defined an elliptic curve analogue to Carmichael numbers
known as elliptic Carmichael numbers. In this paper, we prove that there are
infinitely many elliptic Carmichael numbers. In doing so, we resolve in the
affirmative the question of whether there exist infinitely square-free,
composite integers $n$ such that for every prime $p$ that divides $n$,
$p+1|n+1$.


title:
An adjoint method for the exact calibration of Stochastic Local
  Volatility models

abstract:
  This paper deals with the exact calibration of semidiscretized stochastic
local volatility (SLV) models to their underlying semidiscretized local
volatility (LV) models. Under an SLV model, it is common to approximate the
fair value of European-style options by semidiscretizing the backward
Kolmogorov equation using finite differences. In the present paper we introduce
an adjoint semidiscretization of the corresponding forward Kolmogorov equation.
This adjoint semidiscretization is used to obtain an expression for the
leverage function in the pertinent SLV model such that the approximated fair
values defined by the LV and SLV models are identical for non-path-dependent
European-style options. In order to employ this expression, a large non-linear
system of ODEs needs to be solved. The actual numerical calibration is
performed by combining ADI time stepping with an inner iteration to handle the
non-linearity. Ample numerical experiments are presented that illustrate the
effectiveness of the calibration procedure.


title:
Analysis of the tensor-tensor type scalar tetraquark states with QCD sum
  rules

abstract:
  In this article, we study the ground states and the first radial excited
states of the tensor-tensor type scalar hidden-charm tetraquark states with the
QCD sum rules. We separate the ground state contributions from the first radial
excited state contributions unambiguously, and obtain the QCD sum rules for the
ground states and the first radial excited states, respectively. Then we search
for the Borel parameters and continuum threshold parameters according to four
criteria and obtain the masses of the tensor-tensor type scalar hidden-charm
tetraquark states, which can be confronted to the experimental data in the
future.


title: A problem of I. Ra\c{s}a on Bernstein polynomials and convex functions

abstract:
  We present an elementary proof of a conjecture by I. Ra\c{s}a which is an
inequality involving Bernstein basis polynomials and convex functions. It was
affirmed in positive very recently by the use of stochastic convex orderings.
Moreover, we derive the corresponding results for Mirakyan-Favard-Sz\'asz
operators and Baskakov operators.


title:
Electronic structure and carrier transfer in B-DNA monomer polymers and
  dimer polymers: Stationary and time-dependent aspects of wire model vs.
  extended ladder model

abstract:
  We employ two Tight-Binding (TB) approaches to study the electronic structure
and hole or electron transfer in B-DNA monomer polymers and dimer polymers made
up of $N$ monomers (base pairs): (I) at the base-pair level, using the on-site
energies of base pairs and the hopping integrals between successive base pairs,
i.e., a wire model and (II) at the single-base level, using the on-site
energies of the bases and the hopping integrals between neighboring bases,
i.e., an \textit{extended} ladder model since we also include diagonal
hoppings. We solve a system of $MD$ ("matrix dimension") coupled equations [(I)
$MD$ = $N$, (II) $MD$ = $2N$] for the time-independent problem, and a system of
$MD$ coupled $1^\text{st}$ order differential equations for the time-dependent
problem. We study the HOMO and the LUMO eigenspectra, the occupation
probabilities, the Density of States (DOS) and the HOMO-LUMO gap as well as the
mean over time probabilities to find the carrier at each site [(I) base pair or
(II) base)], the Fourier spectra, which reflect the frequency content of charge
transfer (CT) and the pure mean transfer rates from a certain site to another.
The two TB approaches give coherent, complementary aspects of electronic
properties and charge transfer in B-DNA monomer polymers and dimer polymers.


title:
Semiconductor characterization by scanning ion beam induced charge
  (IBIC) microscopy

abstract:
  The acronym IBIC (Ion Beam Induced Charge) was coined in early 1990's to
indicate a scanning microscopy technique which uses MeV ion beams as probes to
image the basic electronic properties of semiconductor materials and devices.
Since then, IBIC has become a widespread analytical technique to characterize
materials for electronics or for radiation detection, as testified by more than
200 papers published so far in peer-reviewed journals. Its success stems from
the valuable information IBIC can provide on charge transport phenomena
occurring in finished devices, not easily obtainable by other analytical
techniques. However, IBIC analysis requires a robust theoretical background to
correctly interpret experimental data. In order to illustrate the importance of
using a rigorous mathematical formalism, we present in this paper a benchmark
IBIC experiment aimed to test the validity of the interpretative model based on
the Gunn's theorem and to provide an example of the analytical capability of
IBIC to characterize semiconductor devices.


title:
Forecasts of the atmospherical parameters close to the ground at the LBT
  site in the context of the ALTA project

abstract:
  In this paper we study the abilities of an atmospherical mesoscale model in
forecasting the classical atmospherical parameters relevant for astronomical
applications at the surface layer (wind speed, wind direction, temperature,
relative humidity) on the Large Binocular Telescope (LBT) site - Mount Graham,
Arizona. The study is carried out in the framework of the ALTA project aiming
at implementing an automated system for the forecasts of atmospherical
parameters (Meso-Nh code) and the optical turbulence (Astro-Meso-Nh code) for
the service-mode operation of the LBT. The final goal of such an operational
tool is to provide predictions with high time frequency of atmospheric and
optical parameters for an optimized planning of the telescope operation (dome
thermalization, wind-dependent dome orientation, observation planning based on
predicted seeing, adaptive optics optimization, etc...). Numerical simulations
are carried out with the Meso-Nh and Astro-Meso-Nh codes, which were proven to
give excellent results in previous studies focused on the two ESO sites of
Cerro Paranal and Cerro Armazones (MOSE Project). In this paper we will focus
our attention on the comparison of atmospherical parameters forescasted by the
model close to the ground with measurements taken by the observatory
instrumentations and stored in the LBT telemetry in order to validate the
numerical predictions. As previously done for Cerro Paranal (Lascaux et al.,
2015), we will also present an analysis of the model performances based on the
method of the contingency tables, that allows us to provide complementary key
information with the respect to the bias and RMSE (systematic and statistical
errors), such as the percentage of correct detection and the probability to
obtain a correct detection inside a defined interval of values.


title: Generalized Maxwell equations and charge conservation censorship

abstract:
  The Aharonov-Bohm electrodynamics is a generalization of Maxwell theory with
reduced gauge invariance. It allows to couple the electromagnetic field to a
charge which is not locally conserved, and has an additional degree of freedom,
the scalar field $S=\partial_\alpha A^\alpha$, usually interpreted as a
longitudinal wave component. By re-formulating the theory in a compact
Lagrangian formalism, we are able to eliminate $S$ explicitly from the dynamics
and we obtain generalized Maxwell equation with interesting properties: they
give $\partial_\mu F^{\mu \nu}$ as the (conserved) sum of the (possibly
non-conserved) physical current density $j^\nu$, and a "secondary" current
density $i^\nu$ which is a non-local function of $j^\nu$. This implies that any
non-conservation of $j^\nu$ is effectively "censored" by the observable field
$F^{\mu \nu}$, and yet it may have real physical consequences. We give examples
of stationary solutions which display these properties. Possible applications
are to systems where local charge conservation is violated due to anomalies of
the ABJ kind or to macroscopic quantum tunnelling with currents which do not
satisfy a local continuity equation.


title:
K2-99: a subgiant hosting a transiting warm Jupiter in an eccentric
  orbit and a long-period companion

abstract:
  We report the discovery from K2 of a transiting planet in an 18.25-d,
eccentric (0.19$\pm$ 0.04) orbit around K2-99, an 11th magnitude subgiant in
Virgo. We confirm the planetary nature of the companion with radial velocities,
and determine that the star is a metal-rich ([Fe/H] = 0.20$\pm$0.05) subgiant,
with mass $1.60^{+0.14}_{-0.10}~M_\odot$ and radius $3.1\pm 0.1~R_\odot$. The
planet has a mass of $0.97\pm0.09~M_{\rm Jup}$ and a radius $1.29\pm0.05~R_{\rm
Jup}$. A measured systemic radial acceleration of $-2.12\pm0.04~{\rm m s^{-1}
d^{-1}}$ offers compelling evidence for the existence of a third body in the
system, perhaps a brown dwarf orbiting with a period of several hundred days.


title:
Interplay of the pseudogap and the BCS gap for heteropairs in
  $^{40}$K-$^6$Li mixture

abstract:
  The description of heteropairs like $^{40}$K-$^6$Li near and in the
superconducting state requires a fully selfconsistent theory [see Hanai and
Ohashi, Phys. Rev. A 90, 043622 (2014)]. We derive analytic pseudogap Green's
functions for the "normal" and superconducting states from the Luttinger-Ward
theory with the T-matrix in the static separable approximation. The
self-consistency in the closing loop of self-energy has two pronounced effects
on the single-particle spectrum. First, the single-particle excitations decay
before the asymptotic quasiparticle propagation is established, therefore the
normal state is not a Fermi liquid. Second, the pseudogap has a V shape even
for s-wave pairing. The V-shaped pseudogap and the U-shaped BCS gap interfere
resulting in slope breaks of the gap walls and the in-gap states in the density
of states. Various consequences of an incomplete self-consistency are
demonstrated.


title:
Type Ia supernovae within dense carbon-oxygen rich envelopes: a model
  for 'Super-Chandrasekhar' explosions?

abstract:
  We investigate the consequences of fairly normal Type Ia supernovae being
embedded in compact and dense envelopes of carbon and oxygen rich circumstellar
material by means of detailed radiation hydrodynamic simulations. Our main
focus rests on exploring the effects of the interaction between ejecta and
circumstellar material on the ejecta evolution and the broad-band light curve.
In our calculations, we find that a strong reverse shock efficiently
decelerates and compresses the ejecta material. This leads to a significant
broadening of the optical light curve, a longer rise to maximum and a slower
decline in the tail phase. During the interaction, substantial radiative energy
is generated, which mostly emerges in the extreme ultraviolet and X-ray regime.
Only if reprocessing due to radiation-matter interactions is very efficient, a
significant boost in the optical light curve is observed. We discuss these
findings in particular in the context of the super-luminous event SN 2009dc. As
our calculations are able to reproduce a number of its peculiar properties, we
conclude that the flavour of the interaction scenario investigated in this work
constitutes a promising candidate to explain such 'Super-Chandrasekhar'
supernovae.


title: How you are with $\mathfrak{s}$ and $\mathfrak{r}$?

abstract:
  We prove that if there is a real-valued measurable cardinal then the
splitting number is $\aleph_1$. Likewise, if the continuum is real-valued
measurable then the reaping number equals the continuum.


title:
A prototype model for evaluating psychiatric research strategies:
  Diagnostic category-based approaches vs. the RDoC approach

abstract:
  In this paper, we propose a theoretical framework for evaluating psychiatric
research strategies. The strategies to be evaluated include a conventional
diagnostic category-based approach and dimensional approach that have been
encouraged by the National Institute for Mental Health (NIMH), outlined as
Research Domain Criteria (RDoC). The proposed framework is based on the
statistical modeling of the processes by which pathogenetic factors are
translated to behavioral measures and how the research strategies can detect
potential pathogenetic factors. The framework provides the statistical power
for quantifying how efficiently relevant pathogenetic factors are detected
under various conditions. We present several theoretical and numerical results
highlighting the merits and demerits of the strategies.


title:
On monodromy eigenfunctions of Heun equations and boundaries of
  phase-lock areas in a model of overdamped Josephson effect

abstract:
  We study a family of double confluent Heun equations of the form $\mathcal
E=0$, where $\mathcal L=\mathcal L_{\lambda,\mu,n}$ is a family of differential
operators of order two. They depend on complex parameters $\lambda$, $\mu$,
$n$. Its restriction to real parameter domain $\lambda+\mu^2>0$ is a
linearization of the family of nonlinear equations on two-torus modeling the
Josephson effect in superconductivity. We show that for every $b,n\in\mathbb C$
satisfying a certain "non-resonance condition" and every $\lambda,\mu\in\mathbb
C$, $\mu\neq0$ there exists an entire function $f_{\pm}:\mathbb C\to\mathbb C$
(unique up to constant factor) such that $z^{-b}\mathcal L(z^b
f_{\pm}(z^{\pm1}))=d_{0\pm}+d_{1\pm}z$ for some $d_{0\pm},d_{1\pm}\in\mathbb
C$. The constants $d_{j,\pm}$ are expressed as functions of the parameters.
This result has several applications. First of all, it gives the description of
those $\lambda$, $\mu$, $n$, $b$ for which the monodromy of the Heun equation
has eigenvalue $e^{2\pi i b}$. It also describes those $\lambda$, $\mu$, $n$
for which the monodromy is parabolic: has multiple eigenvalue. We consider the
rotation number $\rho$ of the dynamical system on two-torus as a function of
parameters restricted to a surface $\lambda+\mu^2=const$. The phase-lock areas
are its level sets having non-empty interiors. For general families of
dynamical systems the problem to describe the boundaries of the phase-lock
areas is known to be very complicated. Here we include the results in this
direction obtained by methods of complex variables. In our case the phase-lock
areas exist only for integer rotation numbers (quantization effect). The result
on parabolic monodromy implies the description of the union of their boundaries
by an explicit functional equation. For every $\theta\notin\mathbb Z$ we get a
description of the set $\{\rho\equiv\pm\theta(mod2\mathbb Z)\}$.


title: Self-Avoiding Walks on the UIPQ

abstract:
  We study an annealed model of Uniform Infinite Planar Quadrangulation (UIPQ)
with an infinite two-sided self-avoiding walk (SAW), which can also be
described as the result of glueing together two independent uniform infinite
quadrangulations of the half-plane (UIHPQs). We prove a lower bound on the
displacement of the SAW which, combined with estimates from our previous paper,
shows that the self-avoiding walk is diffusive. As a byproduct this implies
that the volume growth exponent of the lattice in question is $4$ (as is the
case for the standard UIPQ); nevertheless, using our previous work we show its
law to be singular with respect to that of the standard UIPQ, that is -- in the
language of statistical physics -- the fact that disorder holds.


title:
Sparse approximation of multilinear problems with applications to
  kernel-based methods in UQ

abstract:
  We provide a framework for the sparse approximation of multilinear problems
and show that several problems in uncertainty quantification fit within this
framework. In these problems, the value of a multilinear map has to be
approximated using approximations of different accuracy and computational work
of the arguments of this map. We propose and analyze a generalized version of
Smolyak's algorithm, which provides sparse approximation formulas with
convergence rates that mitigate the curse of dimension that appears in
multilinear approximation problems with a large number of arguments. We apply
the general framework to response surface approximation and optimization under
uncertainty for parametric partial differential equations using kernel-based
approximation. The theoretical results are supplemented by numerical
experiments.


title: Representations of reductive groups distinguished by symmetric subgroups

abstract:
  Let $G$ be a complex reductive group and $H=G^{\theta}$ be its fixed point
subgroup under a Galois involution $\theta$. We show that any $H$-distinguished
representation $\pi$ (i.e
$\mathrm{dim}_{\mathbb{C}}\left(\pi^{*}\right)^{H}\neq0$) satisfies:
  1) $\pi^{\theta}\simeq\tilde{\pi}$, where $\tilde{\pi}$ is the contragredient
representation and $\pi^{\theta}$ is the twist of $\pi$ under $\theta$.
  2) $\mathrm{dim}_{\mathbb{C}}\left(\pi^{*}\right)^{H}\leq\left|B\backslash
G/H\right|$, where $B$ is a Borel subgroup of $G$.
  By proving Statement 1), we give a partial answer to a conjecture by Lapid.


title:
Construction of Exact Ermakov-Pinney Solutions and Time-Dependent
  Quantum Oscillators

abstract:
  The harmonic oscillator with a time-dependent frequency has a family of
linear quantum invariants for the time-dependent Schr\"{o}dinger equation,
which are determined by any two independent solutions to the classical equation
of motion. Ermakov and Pinney have shown that a general solution to the
time-dependent oscillator with an inverse cubic term can be expressed in terms
of two independent solutions to the time-dependent oscillator. We explore the
connection between linear quantum invariants and the Ermakov-Pinney solution
for the time-dependent harmonic oscillator. We advance a novel method to
construct Ermakov-Pinney solutions to a class of time-dependent oscillators and
the wave functions for the time-dependent Schr\"{o}dinger equation. We further
show that the first and the second P\"{o}schl-Teller potentials belong to a
special class of exact time-dependent oscillators. A perturbation method is
proposed for any slowly-varying time-dependent frequency.


title: The ALFA Roman Pot Detectors of ATLAS

abstract:
  The ATLAS Roman Pot system is designed to determine the total proton-proton
cross-section as well as the luminosity at the Large Hadron Collider (LHC) by
measuring elastic proton scattering at very small angles. The system is made of
four Roman Pot stations, located in the LHC tunnel in a distance of about 240~m
at both sides of the ATLAS interaction point. Each station is equipped with
tracking detectors, inserted in Roman Pots which approach the LHC beams
vertically. The tracking detectors consist of multi-layer scintillating fibre
structures readout by Multi-Anode-Photo-Multipliers.


title:
Holographic Complexity and Fidelity Susceptibility as Holographic
  Information Dual to Different Volumes in AdS

abstract:
  The holographic complexity and fidelity susceptibility have been defined as
new quantities dual to different volumes in AdS. In this paper, we will use
these new proposals to calculate both of these quantities for a variety of
interesting deformations of AdS. We obtain the holographic complexity and
fidelity susceptibility for an AdS black hole, Janus solution and a solution
with cylindrically symmetry, an inhomogeneous background and a hyperscaling
violating background. It is observed that the holographic complexity depends on
the size of the subsystem for all these solutions and the fidelity
susceptibility does not have any such dependence.


title:
Inverse problem for the mean-field monomer-dimer model with attractive
  interaction

abstract:
  The inverse problem method is tested for a class of monomer-dimer statistical
mechanics models that contain also an attractive potential and display a
mean-field critical point at a boundary of a coexistence line. The inversion is
obtained by analytically identifying the parameters in terms of the correlation
functions and via the maximum-likelihood method. The precision is tested in the
whole phase space and, when close to the coexistence line, the algorithm is
used together with a clustering method to take care of the underlying possible
ambiguity of the inversion.


title: Challenges in Large Scale Quantum Mechanical Calculations

abstract:
  During the past decades, quantum mechanical methods have undergone an amazing
transition from pioneering investigations of experts into a wide range of
practical applications, made by a vast community of researchers. First
principles calculations of systems containing up to a few hundred atoms have
become a standard in many branches of science. The sizes of the systems which
can be simulated have increased even further during recent years, and
quantum-mechanical calculations of systems up to many thousands of atoms are
nowadays possible. This opens up new appealing possibilities, in particular for
interdisciplinary work, bridging together communities of different needs and
sensibilities. In this review we will present the current status of this topic,
and will also give an outlook on the vast multitude of applications, challenges
and opportunities stimulated by electronic structure calculations, making this
field an important working tool and bringing together researchers of many
different domains.


title: Recent results for the proton spin decomposition from lattice QCD

abstract:
  The exact decomposition of the proton spin has been a much debated topic, on
the experimental as well as the theoretical side. In this talk we would like to
report on recent non-perturbative results and ongoing efforts to explore the
proton spin from lattice QCD. We present results for the relevant generalized
form factors from gauge field ensembles that feature a physical value of the
pion mass. These generalized form factors can be used to determine the total
spin and angular momentum carried by the quarks. In addition we present first
results for our ongoing effort to compute the angular momentum of the gluons in
the proton.


title:
Double Higgs production from $HH\to(b\bar{b})(b\bar{b})$ at a 100 TeV
  hadron collider

abstract:
  In this contribution we study the prospects of measuring double Higgs
production at a potential 100 TeV future circular collider. We apply an
analysis procedure that utilises reconstructed Higgs pairs from multiple final
state event topologies in order to maintain high selection efficiencies. Signal
purity is then further improved by means of a artificial neural network
classifier. The results of this analysis for the high luminosity LHC show
significant potential, however when applied to a 100 TeV hadron collider we
find that such a measurement is likely to suffer from a very poor signal to
background ratio. Such a measurement at the FCC is therefore likely to be
significantly more challenging than at the high luminosity phase of the LHC.


title:
Probing domain walls in cylindrical magnetic nanowires with electron
  holography

abstract:
  We probe magnetic domain walls in cylindrical soft magnetic nanowires using
electron holography. We detail the modelling of expected contrast for both
transverse and Bloch point domain walls and provide comparison with
experimental observations performed on NiCo nanowires, involving also both
magnetic and electrostatic contribution to the electron holography map. This
allows the fast determination of the domain wall type without the need for
uneasy and time-consuming experimental removal of the electrostatic
contribution. Finally, we describe and implement a new efficient algorithm for
calculating the magnetic contrast.


title:
Formation of plasma around a small meteoroid: 2. Implications for radar
  head echo

abstract:
  This paper calculates the spatial distribution of the plasma responsible for
radar head echoes by applying the kinetic theory developed in the companion
paper (Dimant and Oppenheim, arXiv:1608.08524). This results in a set of
analytic expressions for the plasma density as a function of distance from the
meteoroid. It shows that, at distances less than a collisional mean-free-path
from the meteoroid surface, the plasma density drops in proportion to $1/R$
where $R$ is the distance from the meteoroid center; and, at distances much
longer than the mean-free-path behind the meteoroid, the density diminishes at
a rate proportional to $1/R^{2}$. The results of this paper should be used for
modeling and analysis of radar head echoes.


title:
Shaping frequency correlations of ultrafast pulse-pumped modulational
  instability in gas-filled hollow-core PCF

abstract:
  We vary the time-frequency mode structure of ultrafast pulse-pumped
modulational instability (MI) twin beams in an argon-filled hollow-core
kagom\'e-style PCF by adjusting the pressure, pump pulse chirp, fiber length
and parametric gain. Compared to solid-core systems, the pressure dependent
dispersion landscape brings increased flexibility to the tailoring of frequency
correlations and we demonstrate that the pump pulse chirp can be used to tune
the joint spectrum of femtosecond-pumped sources. We also characterize the
resulting mode content, not only by measuring the multimode second-order
correlation function g(2) but also by directly reconstructing the shapes and
weights of time-frequency Schmidt (TFS) modes. We show that the number of modes
directly influences the shot-to-shot pulse-energy and spectral-shape
fluctuations in MI. Using this approach we control and monitor the number of
TFS modes within the range from 1.3 to 4 using only a single fiber.


title:
Systematic uncertainties in long-baseline neutrino-oscillation
  experiments

abstract:
  Future neutrino-oscillation experiments are expected to bring definite
answers to the questions of neutrino-mass hierarchy and violation of
charge-parity symmetry in the lepton sector. To realize this ambitious program
it is necessary to ensure a significant reduction of uncertainties,
particularly those related to neutrino-energy reconstruction. In this paper, we
discuss different sources of systematic uncertainties, paying special attention
to those arising from nuclear effects and detector response. By analyzing
nuclear effects we show the importance of developing accurate theoretical
models, capable to provide quantitative description of neutrino cross sections,
together with the relevance of their implementation in Monte Carlo generators
and extensive testing against lepton-scattering data. We also point out the
fundamental role of efforts aiming to determine detector responses in test-beam
exposures.


title:
Inhomogeneous diffusion and ergodicity breaking induced by global memory
  effects

abstract:
  We introduce a class of discrete random walk model driven by global memory
effects. At any time the right-left transitions depend on the whole previous
history of the walker, being defined by an urn-like memory mechanism. The
characteristic function is calculated in an exact way, which allows us to
demonstrate that the ensemble of realizations is ballistic. Asymptotically each
realization is equivalent to that of a biased Markovian diffusion process with
transition rates that strongly differs from one trajectory to another. Using
this "inhomogeneous diffusion" feature the ergodic properties of the dynamics
are analytically studied through the time-averaged moments. In the long time
regime they becomes random objects. While their mean values recover the
corresponding ensemble averages, departure between time and ensemble averages
is explicitly shown through their probability densities. For the density of the
second time-averaged moment an ergodic limit and the limit of infinite lag
times do not commutate. All these effects are induced by the memory effects.