title:
Signatures of the Martian rotation parameters in the Doppler and range
  observables

abstract:
  The position of a Martian lander is affected by different aspects of Mars'
rotational motions: the nutations, the precession, the length-of-day variations
and the polar motion. These various motions have a different signature in a
Doppler observable between the Earth and a lander on Mars' surface. Knowing the
correlations between these signatures and the moments when these signatures are
not null during one day or on a longer timescale is important to identify
strategies that maximize the geophysical return of observations with a geodesy
experiment, in particular for the ones on-board the future NASA InSight or
ESA-Roscosmos ExoMars2020 missions.
  We provide first-order formulations of the signature of the rotation
parameters in the Doppler and range observables. These expressions are
functions of the diurnal rotation of Mars, the lander position, the planet
radius and the rotation parameter. Additionally, the nutation signature in the
Doppler observable is proportional to the Earth declination with respect to
Mars.
  For a lander on Mars close to the equator, the motions with the largest
signature in the Doppler observable are due to the length-of-day variations,
the precession rate and the rigid nutations. The polar motion and the liquid
core signatures have a much smaller amplitude. For a lander closer to the pole,
the polar motion signature is enhanced while the other signatures decrease.
  We also numerically evaluate the amplitudes of the rotation parameters
signature in the Doppler observable for landers on other planets or moons.


title:
Convergence Rates of a Fully Discrete Galerkin Scheme for the
  Benjamin-Ono Equation

abstract:
  We consider a recently proposed fully discrete Galerkin scheme for the
Benjamin-Ono equation which has been found to be locally convergent in finite
time for initial data in $L^2(\mathbb{R})$. By assuming that the initial data
is sufficiently regular we obtain theoretical convergence rates for the scheme
both in the full line and periodic versions of the associated initial value
problem. These rates are illustrated with some numerical examples.


title:
Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional
  massive gravity

abstract:
  Dynamical solutions are always of interest to people in gravity theories. We
derive a series of generalized Vaidya solutions in the $n$-dimensional de
Rham-Gabadadze-Tolley (dRGT) massive gravity with a singular reference metric.
Similar to the case of the Einstein gravity, the generalized Vaidya solution
can describe shining/absorbing stars. Moreover, we also find a more general
Vaidya-like solution by introducing a more generic matter field than the pure
radiation in the original Vaidya spacetime. As a result, the above generalized
Vaidya solution is naturally included in this Vaidya-like solution as a special
case. We investigate the thermodynamics for this Vaidya-like spacetime by using
the unified first law, and present the generalized Misner-Sharp mass. Our
results show that the generalized Minser-Sharp mass does exist in this
spacetime. In addition, the usual Clausius relation $\delta Q= TdS$ holds on
the apparent horizon, which implicates that the massive gravity is in a
thermodynamic equilibrium state. We find that the work density vanishes for the
generalized Vaidya solution, while it appears in the more general Vaidya-like
solution. Furthermore, the covariant generalized Minser-Sharp mass in the
$n$-dimensional de Rham-Gabadadze-Tolley massive gravity is also derived by
taking a general metric ansatz into account.


title: On the Color Dipole Picture

abstract:
  We give a brief representation of the theoretical results from the color
dipole picture, covering the total photoabsorption cross section, high-energy
$J/\psi$ photoproduction with respect to recent experimental data from the LHCb
Collaboration at CERN, and ultra-high energy neutrino scattering, relevant for
the ICE-CUBE experiment.


title: Dynamical mean field theory for oxide heterostructures

abstract:
  Transition metal oxide heterostructures often, but by far not always, exhibit
strong electronic correlations. State-of-the-art calculations account for these
by dynamical mean field theory (DMFT). We discuss the physical situations in
which DMFT is needed, not needed, and where it is actually not sufficient. By
means of an example, SrVO$_3$/SrTiO$_3$, we discuss step-by-step and
figure-by-figure a density functional theory(DFT)+DMFT calculation. The second
part reviews DFT+DMFT calculations for oxide heterostructure focusing on
titanates, nickelates, vanadates, and ruthenates.


title: Performance of superadiabatic quantum machines

abstract:
  We investigate the performance of a quantum thermal machine operating in
finite time based on shortcut-to-adiabaticity techniques. We compute efficiency
and power for a quantum harmonic Otto engine by taking the energetic cost of
the superadiabatic driving explicitly into account. We further derive generic
upper bounds on both quantities, valid for any heat engine cycle, using the
notion of quantum speed limits for driven systems. We demonstrate that these
quantum bounds are tighter than those stemming from the second law of
thermodynamics.


title:
Performance of the ALICE secondary vertex b-tagging algorithm in p-Pb
  collisions

abstract:
  The hot and dense nuclear matter, that is produced in heavy-ion collisions,
could be studied by jets originating from beauty quarks. In-medium energy loss
of these quarks provides information on several properties of the quark-gluon
plasma, produced in ultra-relativistic heavy-ion collisions. Reconstructed jets
are powerful tools, since they offer access to kinematics of these
hard-scattered partons. Beauty hadrons are specific for their long lifetime,
large mass and large-multiplicity decays. Due to the long lifetime beauty
hadrons decay at displaced secondary vertices. In the ALICE experiment,
secondary vertex properties are used to tag b-jets. The study of Monte Carlo
based performance of the b-tagging algorithm for charged jets in p-Pb
collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV is discussed in proceedings.


title: Towards a mechanical MPI scanner based on atomic magnetometry

abstract:
  We report on our progress in the development of an atomic magnetometer (AM)
based low-frequency magnetic particle imaging (MPI) scanner, expected to be
free from Specific Absorption Rate (SAR) and Peripheral Nerve Stimulation (PNS)
constraints. We address major challenges in coil and sensor design due to
specific AM properties. Compared to our previous work we have changed the AM's
mode of operation towards its implementation for detecting weak magnetic
nanoparticles (MNP) response fields in the presence of nearby-located strong
drive/selection fields. We demonstrate that a pump-probe AM scheme in a buffer
gas filled alkali vapour cell can tolerate mT/m gradients while maintaining a
sensitivity in the one-digit pT/Hz^(1/2) range over a bandwidth from DC to
several kHz. We give a detailed description of the drive/selection coils'
geometry and their hardware implementations that provides a field-free-line
(FFL) operation, compatible with a best performance AM operation. We estimate
the achievable field of view and spatial resolution of the scanner as well as
its sensitivity, assuming mechanical scanning of a Resovist sample through the
field-free point/line.


title:
In situ, steerable, hardware-independent and data-structure agnostic
  visualization with ISAAC

abstract:
  The computation power of supercomputers grows faster than the bandwidth of
their storage and network. Especially applications using hardware accelerators
like Nvidia GPUs cannot save enough data to be analyzed in a later step. There
is a high risk of loosing important scientific information. We introduce the in
situ template library ISAAC which enables arbitrary applications like
scientific simulations to live visualize their data without the need of deep
copy operations or data transformation using the very same compute node and
hardware accelerator the data is already residing on. Arbitrary meta data can
be added to the renderings and user defined steering commands can be
asynchronously sent back to the running application. Using an aggregating
server, ISAAC streams the interactive visualization video and enables user to
access their applications from everywhere.


title:
Chain rules and inequalities for the BHT fractional calculus on
  arbitrary time scales

abstract:
  We develop the Benkhettou-Hassani-Torres fractional (noninteger order)
calculus on time scales by proving two chain rules for the $\alpha$-fractional
derivative and five inequalities for the $\alpha$-fractional integral. The
results coincide with well-known classical results when the operators are of
(integer) order $\alpha = 1$ and the time scale coincides with the set of real
numbers.


title:
An Analytical Study on the Quasiperiodic Route to Chaos in a Forced
  Negative Conductance Circuit

abstract:
  The quasiperiodic route to chaos in a piecewise linear forced parallel LCR
circuit with a negative conductance and diode is studied analytically. An
explicit analytical solution for the normalized state equations of the
piecewise linear circuit is presented explaining the quasiperiodic route to
chaos through phase portraits and power spectrum.


title: Deep, Dense, and Low-Rank Gaussian Conditional Random Fields

abstract:
  In this work we introduce a fully-connected graph structure in the Deep
Gaussian Conditional Random Field (G-CRF) model. For this we express the
pairwise interactions between pixels as the inner-products of low-dimensional
embeddings, delivered by a new subnetwork of a deep architecture. We
efficiently minimize the resulting energy by solving the resulting low-rank
linear system with conjugate gradients, and derive an analytic expression for
the gradient of our embeddings which allows us to train them end-to-end with
backpropagation.
  We demonstrate the merit of our approach by achieving state of the art
results on three challenging Computer Vision benchmarks, namely semantic
segmentation, human parts segmentation, and saliency estimation. Our
implementation is fully GPU based, built on top of the Caffe library, and will
be made publicly available.


title:
Energy intake functions of ectotherms and endotherms derived from their
  body mass growth

abstract:
  How animals allocate energy to different body functions is still not
completely understood and a challenging topic until recently. Here, we
investigate in more detail the allocation of energy intake to growth,
reproduction or heat production by developing energy budget models for
ectothermic and endothermic vertebrates using a mathematical approach. We
calculated energy intake functions of ectotherms and endotherms derived from
their body mass growth. We show that our energy budget model produces energy
intake patterns and distributions as observed in ectothermic and endothermic
species. Our results comply consistently with some empirical studies that in
endothermic species, like birds and mammals, energy is used for heat production
instead of growth. Our model additionally offers an explanation on known
differences in absolute energy intake between ectothermic fish and reptiles and
endothermic birds and mammals. From a mathematical point of view, the model
comes in two equivalent formulations, a differential and an integral one. It is
derived from a discrete level approach, and it is shown to be well-posed and to
attain a unique solution for (almost) every parameter set. Numerically, the
integral formulation of the model is considered as an inverse problem with
unknown parameters that are estimated using a series of experiments/realistic
data.


title: Bidirectional Multirate Reconstruction for Temporal Modeling in Videos

abstract:
  Despite the recent success of neural networks in image feature learning, a
major problem in the video domain is the lack of sufficient labeled data for
learning to model temporal information. In this paper, we propose an
unsupervised temporal modeling method that learns from untrimmed videos. The
speed of motion varies constantly, e.g., a man may run quickly or slowly. We
therefore train a Multirate Visual Recurrent Model (MVRM) by encoding frames of
a clip with different intervals. This learning process makes the learned model
more capable of dealing with motion speed variance. Given a clip sampled from a
video, we use its past and future neighboring clips as the temporal context,
and reconstruct the two temporal transitions, i.e., present$\rightarrow$past
transition and present$\rightarrow$future transition, reflecting the temporal
information in different views. The proposed method exploits the two
transitions simultaneously by incorporating a bidirectional reconstruction
which consists of a backward reconstruction and a forward reconstruction. We
apply the proposed method to two challenging video tasks, i.e., complex event
detection and video captioning, in which it achieves state-of-the-art
performance. Notably, our method generates the best single feature for event
detection with a relative improvement of 10.4% on the MEDTest-13 dataset and
achieves the best performance in video captioning across all evaluation metrics
on the YouTube2Text dataset.


title:
A "tubular" variant of Runge's method in all dimensions, with
  applications to integral points on Siegel modular varieties

abstract:
  Runge's method is a tool to figure out integral points on curves effectively
in terms of height. This method has been generalised to varieties of any
dimension, unfortunately its conditions of application are often too
restrictive. In this paper, we provide a further generalisation intended to be
more flexible while still effective, and exemplify its applicability by giving
finiteness results for integral points on some Siegel modular varieties. As a
special case, we obtain a totally explicit finiteness result for integral
points on the Siegel modular variety $A_2(2)$.


title: Algebra of Observables and States for Quantum Abelian Duality

abstract:
  The study of dualities is a central issue in several modern approaches to
quantum field theory, as they have broad consequences on the structure and on
the properties of the theory itself. We call Abelian duality the generalisation
to arbitrary spacetime dimension of the duality between electric and magnetic
field in Maxwell theory. In the present thesis, in the framework of algebraic
quantum field theory, the Abelian duality for quantum field theory on globally
hyperbolic spacetime with compact Cauchy surface is tackled. Fistly, the
algebra of observables is constructed. It is shown that it can be presented as
the direct sum of three pre-symplectic Abelian groups, each corresponding to a
different sector of the theory. As a consequence, it is possible to provide
quantum states for the theory by building separate states on each direct
summand. In particular, explicit examples in two and four dimensions are
discussed thoroughly; a ground Hadamard state in a suitable sense is proved to
exist for both of them. Lastly, it is shown that the Abelian duality is
implemented by unitary operators at the level of the GNS Hilbert space.


title:
Overview of the vector-like quark searches with the LHC data collected
  by the ATLAS detector

abstract:
  In 2012 the discovery of the Higgs boson by the ATLAS and CMS collaborations
set a milestone in particle physics by finding the missing piece of the
Standard Model. Nonetheless some questions are still open: the origin of the
mass of the neutrino and finding the missing candidate for dark matter are some
examples. One of the main issues with the Standard Model is the hierarchy
problem which appears when trying to go to high energy scales at which the
theory cannot accommodate corrections large enough to explain the observed
nature. Vector-like quarks appear naturally in some non-supersymmetric models
which try to find a solution for this issue. The different searches for
vector-like quarks within the ATLAS Collaboration using data collected at a
centre-of-mass energy of 8 and 13~TeV with integrated luminosities of
$20.3\rm{~fb^{-1}}$ (8~TeV) and $3.2\rm{~fb^{-1}}$ and $14.7\rm{~fb^{-1}}$
(13~TeV) are discussed.


title: Searches for flavour changing neutral currents in the top sector

abstract:
  Flavour Changing Neutral Current (FCNC) processes are forbidden at tree level
in the Standard Model and highly suppressed at higher orders. This makes FCNC
one of the key processes to search for new physics since any small deviations
from the Standard Model expectations could have a big impact. Both ATLAS and
CMS Collaborations have designed a comprehensive strategy to search for FCNC in
top quark physics both in the production and decay. The strategies followed by
both collaborations are here described, using data from $pp$ collisions at the
LHC collected at a centre of mass energies of 7 and 8~TeV with integrated
luminosities ranging from $5~\rm{fb}^{-1}$ to $20.3~\rm{fb}^{-1}$.


title: A note on the Singleton bounds for codes over finite rings

abstract:
  In this paper, we give a notation on the Singleton bounds for linear codes
over a finite commutative quasi-Frobenius ring in the work of Shiromoto [5]. We
show that there exists a class of finite commutative quasi-Frobenius rings. The
Singleton bounds for linear codes over such rings satisfy
  \[ \frac{d(C)-1}{A}\leq n-\log_{|R|}|C|. \]


title: Cyclotomic Gaudin models with irregular singularities

abstract:
  Generalizing the construction of the cyclotomic Gaudin algebra from
arXiv:1409.6937, we define the universal cyclotomic Gaudin algebra. It is a
cyclotomic generalization of the Gaudin models with irregular singularities
defined in arXiv:math/0612798.
  We go on to solve, by Bethe ansatz, the special case in which the Lax matrix
has simple poles at the origin and arbitrarily many finite points, and a double
pole at infinity.


title: Defective colouring of graphs excluding a subgraph or minor

abstract:
  Archdeacon (1987) proved that graphs embeddable on a fixed surface can be
$3$-coloured so that each colour class induces a subgraph of bounded maximum
degree. Edwards, Kang, Kim, Oum and Seymour (2015) proved that graphs with no
$K_{t+1}$-minor can be $t$-coloured so that each colour class induces a
subgraph of bounded maximum degree. We prove a common generalisation of these
theorems with a weaker assumption about excluded subgraphs. This result leads
to new defective colouring results for several graph classes, including graphs
with linear crossing number, graphs with given thickness (with relevance to the
earth-moon problem), graphs with given stack- or queue-number, linklessly or
knotlessly embeddable graphs, graphs with given Colin de Verdi\`ere parameter,
and graphs excluding a complete bipartite graph as a topological minor.


title:
Fluctuations of collective coordinates and convexity theorems for energy
  surfaces

abstract:
  Constrained energy minimizations of a many-body Hamiltonian return energy
landscapes e(b) where b=<B> representes the average value(s) of one (or
several) collective operator(s), B, in an "optimized" trial state Phi_b, and e
= <H> is the average value of the Hamiltonian in this state Phi_b. It is
natural to consider the uncertainty, Delta e, given that Phi_b usually belongs
to a restricted set of trial states. However, we demonstrate that the
uncertainty, Delta b, must also be considered, acknowledging corrections to
theoretical models. We also find a link between fluctuations of collective
coordinates and convexity properties of energy surfaces.


title:
Generalization of Doob Decomposition Theorem and Risk Assessment in
  Incomplete Markets

abstract:
  In the paper, we introduce the notion of a local regular supermartingale
relative to a convex set of equivalent measures and prove for it the necessary
and sufficient conditions of optional Doob decomposition in the discrete case.
This Theorem is a generalization of the famous Doob decomposition onto the case
of supermartingales relative to a convex set of equivalent measures. The
description of all local regular supermartingales relative to a convex set of
equivalent measures is presented. A notion of complete set of equivalent
measures is introduced. We prove that every non negative bounded
supermartingale relative to a complete set of equivalent measures is local
regular. A new definition of fair price of contingent claim in incomplete
market is given and a formula for fair price of Standard option of European
type is found.


title:
Estimation of temporal covariances in pathogen dynamics using Bayesian
  multivariate autoregressive models

abstract:
  It is well recognised that animal and plant pathogens form complex ecological
communities of interacting organisms within their hosts. Although community
ecology approaches have been applied to determine pathogen interactions at the
within-host scale, methodologies enabling robust inference of the
epidemiological impact of pathogen interactions are lacking. Here we developed
a novel statistical framework to identify statistical covariances from the
infection time-series of multiple pathogens simultaneously. Our framework
extends Bayesian multivariate disease mapping models to analyse multivariate
time series data by accounting for within- and between-year dependencies in
infection risk and incorporating a between-pathogen covariance matrix which we
estimate. Importantly, our approach accounts for possible confounding drivers
of temporal patterns in pathogen infection frequencies, enabling robust
inference of pathogen-pathogen interactions. We illustrate the validity of our
statistical framework using simulated data and applied it to diagnostic data
available for five respiratory viruses co-circulating in a major urban
population between 2005 and 2013: adenovirus, human coronavirus, human
metapneumovirus, influenza B virus and respiratory syncytial virus. We found
positive and negative covariances indicative of epidemiological interactions
among specific virus pairs. This statistical framework enables a community
ecology perspective to be applied to infectious disease epidemiology with
important utility for public health planning and preparedness.


title:
Non-Autonomous Maximal $L^p$-Regularity under Fractional Sobolev
  Regularity in Time

abstract:
  We prove non-autonomous maximal $L^p$-regularity results on UMD spaces
replacing the common H\"older assumption by a weaker fractional Sobolev
regularity in time. This generalizes recent Hilbert space results by Dier and
Zacher. In particular, on $L^q(\Omega)$ we obtain maximal $L^p$-regularity for
$p \ge 2$ and elliptic operators in divergence form with uniform $VMO$-modulus
in space and $W^{\alpha,p}$-regularity for $\alpha > \frac{1}{2}$ in time.


title:
DrivingStyles: A mobile platform for driving styles and fuel consumption
  characterization

abstract:
  Intelligent Transportation Systems (ITS) rely on connected vehicle
applications to address real-world problems. Research is currently being
conducted to support safety, mobility and environmental applications. This
paper presents the DrivingStyles architecture, which adopts data mining
techniques and neural networks to analyze and generate a classification of
driving styles and fuel consumption based on driver characterization. In
particular, we have implemented an algorithm that is able to characterize the
degree of aggressiveness of each driver. We have also developed a methodology
to calculate, in real-time, the consumption and environmental impact of spark
ignition and diesel vehicles from a set of variables obtained from the
vehicle's Electronic Control Unit (ECU). In this paper, we demonstrate the
impact of the driving style on fuel consumption, as well as its correlation
with the greenhouse gas emissions generated by each vehicle. Overall, our
platform is able to assist drivers in correcting their bad driving habits,
while offering helpful tips to improve fuel economy and driving safety.


title:
Controlled state-to-state atom-exchange reaction in an ultracold
  atom-dimer mixture

abstract:
  Ultracold molecules offer remarkable opportunities to study chemical
reactions at nearly zero temperature. Although significant progresses have been
achieved in exploring ultracold bimolecular reactions, the investigations are
usually limited to measurements of the overall loss rates of the reactants.
Detection of the reaction products will shed new light on understanding the
reaction mechanism and provide a unique opportunity to study the state-to-state
reaction dynamics. Here we report on the direct observation of an exoergic
atom-exchange reaction in an ultracold atom-dimer mixture. Both the atom and
molecule products are observed and the quantum states are characterized. By
changing the magnetic field, the reaction can be switched on or off, and the
reaction rate can be controlled. The reaction is efficient and we have measured
a state-to-state reaction rate of up to $1.1(3)\times10^{-9}$cm$^{3}/$s from
the time evolution of the reactants and products. Our work represents the
realization of a controlled quantum state selected/resolved ultracold reaction.
The atom-exchange reaction observed is also an effective spin-exchange
interaction between the Feshbach molecules and the fermionic atoms and may be
exploited to implement quantum simulations of the Kondo effect with ultracold
atoms and molecules.


title: Dynamic Choreographies: Theory And Implementation

abstract:
  Programming distributed applications free from communication deadlocks and
race conditions is complex. Preserving these properties when applications are
updated at runtime is even harder. We present a choreographic approach for
programming updatable, distributed applications. We define a choreography
language, called Dynamic Interaction-Oriented Choreography (AIOC), that allows
the programmer to specify, from a global viewpoint, which parts of the
application can be updated. At runtime, these parts may be replaced by new AIOC
fragments from outside the application. AIOC programs are compiled, generating
code for each participant in a process-level language called Dynamic
Process-Oriented Choreographies (APOC). We prove that APOC distributed
applications generated from AIOC specifications are deadlock free and race free
and that these properties hold also after any runtime update. We instantiate
the theoretical model above into a programming framework called Adaptable
Interaction-Oriented Choreographies in Jolie (AIOCJ) that comprises an
integrated development environment, a compiler from an extension of AIOCs to
distributed Jolie programs, and a runtime environment to support their
execution.


title:
Observations of planetary waves in the mesosphere-lower thermosphere
  during stratospheric warming events

abstract:
  This study investigates the effect of stratospheric sudden warmings (SSWs) on
planetary wave (PW) activity in the mesosphere-lower thermosphere (MLT). PW
activity near 95 km is derived from meteor wind data using a chain of eight
SuperDARN radars at high northern latitudes that span longitudes from
150$^{\circ}$ W to 25$^{\circ}$ E and latitudes from 51 to 66$^{\circ}$ N.
Zonal wave number 1 and 2 components were extracted from the meridional wind
for the years 2000-2008. The observed wintertime PW activity shows common
features associated with the stratospheric wind reversals and the accompanying
stratospheric warming events. Onset dates for seven SSW events accompanied by
an elevated stratopause (ES) were identified during this time period using the
Specified Dynamics Whole Atmosphere Community Climate Model (SD-WACCM). For the
seven events, a significant enhancement in wave number 1 and 2 PW amplitudes
near 95 km was found to occur after the wind reversed at 50 km, with amplitudes
maximizing approximately 5 days after the onset of the wind reversal. This PW
enhancement in the MLT after the event was confirmed using SD-WACCM. When all
cases of polar cap wind reversals at 50 km were considered, a significant,
albeit moderate, correlation of 0.4 was found between PW amplitudes near 95 km
and westward polar-cap stratospheric winds at 50 km, with the maximum
correlation occurring $\sim$ 3 days after the maximum westward wind. These
results indicate that the enhancement of PW amplitudes near 95 km is a common
feature of SSWs irrespective of the strength of the wind reversal.


title:
Controlled-NOT gate sequences for mixed spin qubit architectures in a
  noisy environment

abstract:
  Explicit controlled-NOT gate sequences between two qubits of different types
are presented in view of applications for large-scale quantum computation.
Here, the building blocks for such composite systems are qubits based on the
electrostatically confined electronic spin in semiconductor quantum dots. For
each system the effective Hamiltonian models expressed by only exchange
interactions between pair of electrons are exploited in two different
geometrical configurations. A numerical genetic algorithm that takes into
account the realistic physical parameters involved is adopted. Gate operations
are addressed by modulating the tunneling barriers and the energy offsets
between different couple of quantum dots. Gate infidelities are calculated
considering limitations due to unideal control of gate sequence pulses,
hyperfine interaction and charge noise.


title: Bounds for solutions to the problem of steady water waves with vorticity

abstract:
  The two-dimensional free-boundary problem describing steady gravity waves
with vorticity on water of finite depth is considered. Bounds for stream
functions as well as free-surface profiles and the total head are obtained
under the assumption that the vorticity distribution is a locally Lipschitz
function. It is also shown that wave flows have counter-currents in the case
when the infimum of the free surface profile exceeds a certain critical value.


title: Scaling of large-scale quantities in Rayleigh-B\'enard convection

abstract:
  We derive a formula for the P\'eclet number ($\mathrm{Pe}$) by estimating the
relative strengths of various terms of the momentum equation. Using direct
numerical simulations in three dimensions we show that in the turbulent regime,
the fluid acceleration is dominated by the pressure gradient, with relatively
small contributions arising from the buoyancy and the viscous term, in the
viscous regime, acceleration is very small due to a balance between the
buoyancy and the viscous term. Our formula for $\mathrm{Pe}$ describes the past
experiments and numerical data quite well. We also show that the ratio of the
nonlinear term and the viscous term is $\mathrm{Re} \mathrm{Ra}^{-0.14}$, where
$\mathrm{Re}$ and $\mathrm{Ra}$ are Reynolds and Rayleigh numbers respectively,
and that the viscous dissipation rate $\epsilon_u = (U^3/d)
\mathrm{Ra}^{-0.21}$, where $U$ is the root mean square velocity and $d$ is the
distance between the two horizontal plates. The aforementioned decrease in
nonlinearity compared to free turbulence arises due to the wall effects.


title:
Faster Randomized Worst-Case Update Time for Dynamic Subgraph
  Connectivity

abstract:
  Real-world networks are prone to breakdowns. Typically in the underlying
graph $G$, besides the insertion or deletion of edges, the set of active
vertices changes overtime. A vertex might work actively, or it might fail, and
gets isolated temporarily. The active vertices are grouped as a set $S$. $S$ is
subjected to updates, i.e., a failed vertex restarts, or an active vertex
fails, and gets deleted from $S$. Dynamic subgraph connectivity answers the
queries on connectivity between any two active vertices in the subgraph of $G$
induced by $S$. The problem is solved by a dynamic data structure, which
supports the updates and answers the connectivity queries. In the general
undirected graph, the best results for it include $\widetilde{O}(m^{2/3})$
deterministic amortized update time, $\widetilde{O}(m^{4/5})$ and
$\widetilde{O}(\sqrt{mn})$ deterministic worst-case update time. In the paper,
we propose a randomized data structure, which has $\widetilde{O}(m^{3/4})$
worst-case update time.


title: On Unique Decoding from Insertions and Deletions

abstract:
  In this paper, we study how often unique decoding from $t$ insertions or $t$
deletions occurs for error correcting codes. Insertions and deletions
frequently occur in synchronization problems and DNA, a medium which is
beginning to be used for long term data storage.
  We define natural probabilistic channels that make $t$ insertions or $t$
deletions, and study the probability of unique decoding. Our most substantial
contribution is the derivation of tight upper bounds on the probability of
unique decoding for messages passed though these channels. We also consider
other aspects of the problem, and derive improved upper bounds for linear codes
and VT-codes.


title: Atmospheric Habitable Zones in Cool Y Dwarf Atmospheres

abstract:
  We use a simple organism lifecycle model to explore the viability of an
atmospheric habitable zone (AHZ), with temperatures that could support
Earth-centric life, which sits above an environment that does not support life.
To illustrate our model we use a cool Y dwarf atmosphere, such as
$\mathrm{WISE~J}085510.83-0714442.5$ whose $4.5-5.2$ micron spectrum shows
absorption features consistent with water vapour and clouds. We allow organisms
to adapt to their atmospheric environment (described by temperature,
convection, and gravity) by adopting different growth strategies that maximize
their chance of survival and proliferation. We assume a constant upward
vertical velocity through the AHZ. We found that the organism growth strategy
is most sensitive to the magnitude of the atmospheric convection. Stronger
convection supports the evolution of more massive organisms. For a purely
radiative environment we find that evolved organisms have a mass that is an
order of magnitude smaller than terrestrial microbes, thereby defining a
dynamical constraint on the dimensions of life that an AHZ can support. Based
on a previously defined statistical approach we infer that there are of order
$10^9$ cool Y brown dwarfs in the Milky Way, and likely a few tens of these
objects are within ten parsecs from Earth. Our work also has implications for
exploring life in the atmospheres of temperate gas giants. Consideration of the
habitable volumes in planetary atmospheres significantly increases the volume
of habitable space in the galaxy.


title:
Quantification of the multi-streaming effect in Redshift Space
  Distortion

abstract:
  Both multi-streaming (random motion) and bulk motion cause the Finger-of-God
(FoG) effect in redshift space distortion (RSD). We apply a direct measurement
of the multi-streaming effect in RSD from simulations, proving that it induces
an additional, non-negligible FoG damping to the redshift space density power
spectrum. We show that, including the multi-streaming effect, the RSD modelling
is significantly improved. We also provide a theoretical explanation based on
halo model for the measured effect, including a fitting formula with one to two
free parameters. The improved understanding of FoG helps break the
$f\sigma_8-\sigma_v$ degeneracy in RSD cosmology, and has the potential of
significantly improving cosmological constraints.


title: Dynamics of large-scale quantities in Rayleigh-B\'enard convection

abstract:
  In this paper we estimate the relative strengths of various terms of the
Rayleigh-B\'enard equations. Based on these estimates and scaling analysis, we
derive a general formula for the large-scale velocity, $U$, or the P\'eclet
number that is applicable for arbitrary Rayleigh number $\mathrm{Ra}$ and
Prandtl number $\mathrm{Pr}$. Our formula fits reasonably well with the earlier
simulation and experimental results. Our analysis also shows that the
wall-bounded convection has enhanced viscous force compared to free turbulence.
We also demonstrate how correlations deviate the Nusselt number scaling from
the theoretical prediction of $\mathrm{Ra}^{1/2}$ to the experimentally
observed scaling of nearly $\mathrm{Ra}^{0.3}$.


title: Finite 2-groups with odd number of conjugacy classes

abstract:
  In this paper we consider finite 2-groups with odd number of real conjugacy
classes. On one hand we show that if $k$ is an odd natural number less than 24,
then there are only finitely many finite 2-groups with exactly $k$ real
conjugacy classes. On the other hand we construct infinitely many finite
2-groups with exactly 25 real conjugacy classes. Both resuls are proven using
pro-$p$ techniques and, in particular, we use the Kneser classification of
semi-simple $p$-adic algebraic groups.


title:
Social Scene Understanding: End-to-End Multi-Person Action Localization
  and Collective Activity Recognition

abstract:
  We present a unified framework for understanding human social behaviors in
raw image sequences. Our model jointly detects multiple individuals, infers
their social actions, and estimates the collective actions with a single
feed-forward pass through a neural network. We propose a single architecture
that does not rely on external detection algorithms but rather is trained
end-to-end to generate dense proposal maps that are refined via a novel
inference scheme. The temporal consistency is handled via a person-level
matching Recurrent Neural Network. The complete model takes as input a sequence
of frames and outputs detections along with the estimates of individual actions
and collective activities. We demonstrate state-of-the-art performance of our
algorithm on multiple publicly available benchmarks.


title: Calder\'on-Lozanovskii interpolation on quasi-Banach lattices

abstract:
  We consider the Calder\'on-Lozanovskii construction $\varphi(X_0,X_1)$ in the
context of quasi-Banach lattices and provide an extension of a result by V. I.
Ovchinnikov concerning the associated interpolation methods $\varphi^c$ and
$\varphi^0$. Our approach is based on the interpolation properties of
$(\infty,1)$-regular operators between quasi-Banach lattices.


title:
Strong convergence rate in averaging principle for stochastic
  hyperbolic-parabolic equations with two time-scales

abstract:
  In this article, we investigate averaging principle for stochastic
hyperbolic-parabolic equations with two time-scales, in which both the slow and
fast components are perturbed by multiplicative noises. Particularly, we prove
that the rate of strong convergence for the slow component to the averaged
dynamics is of order $1/2$, which significantly improves the order $1/4$
established in our previous work.


title: Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation

abstract:
  We propose an ultradiscrete permanent solution to the ultradiscrete KP
equation. The ultradiscrete permanent is an ultradiscrete analogue of the usual
permanent. The elements on this ultradiscrete permanent solution are required
some additional relations other than the ultradiscrete dispersion relation. We
confirm the solution satisfying these relations and propose some explicit
examples of the solution.


title:
Charged Higgs Boson Searches at the LHC via Multiple $b\bar bW^\pm$
  Final States

abstract:
  We review the prospects of the Large Hadron Collider in accessing heavy
charged Higgs boson signals in $b\bar b W^\pm$ final states, wherein the
contributing channels can be $H^+\to t\bar b$, $hW^\pm$, $HW^\pm$ and $AW^\pm$.
In particular, we devise a selection strategy which optimizes their global
yield. We consider a 2-Higgs Doublet Model Type-II and we assume as production
mode $bg\to tH^-$ + c.c., the dominant one over the range $M_{H^\pm}\ge 480$
GeV, as dictated by $b\to s\gamma$ constraints. Possibilities of detection are
found to be significant for various Run 2 energies and luminosities.


title:
Prediction of Video Popularity in the Absence of Reliable Data from
  Video Hosting Services: Utility of Traces Left by Users on the Web

abstract:
  With the growth of user-generated content, we observe the constant rise of
the number of companies, such as search engines, content aggregators, etc.,
that operate with tremendous amounts of web content not being the services
hosting it. Thus, aiming to locate the most important content and promote it to
the users, they face the need of estimating the current and predicting the
future content popularity.
  In this paper, we approach the problem of video popularity prediction not
from the side of a video hosting service, as done in all previous studies, but
from the side of an operating company, which provides a popular video search
service that aggregates content from different video hosting websites. We
investigate video popularity prediction based on features from three primary
sources available for a typical operating company: first, the content hosting
provider may deliver its data via its API, second, the operating company makes
use of its own search and browsing logs, third, the company crawls information
about embeds of a video and links to a video page from publicly available
resources on the Web. We show that video popularity prediction based on the
embed and link data coupled with the internal search and browsing data
significantly improves video popularity prediction based only on the data
provided by the video hosting and can even adequately replace the API data in
the cases when it is partly or completely unavailable.


title: Hierarchical Hyperlink Prediction for the WWW

abstract:
  The hyperlink prediction task, that of proposing new links between webpages,
can be used to improve search engines, expand the visibility of web pages, and
increase the connectivity and navigability of the web. Hyperlink prediction is
typically performed on webgraphs composed by thousands or millions of vertices,
where on average each webpage contains less than fifty links. Algorithms
processing graphs so large and sparse require to be both scalable and precise,
a challenging combination. Similarity-based algorithms are among the most
scalable solutions within the link prediction field, due to their parallel
nature and computational simplicity. These algorithms independently explore the
nearby topological features of every missing link from the graph in order to
determine its likelihood. Unfortunately, the precision of similarity-based
algorithms is limited, which has prevented their broad application so far. In
this work we explore the performance of similarity-based algorithms for the
particular problem of hyperlink prediction on large webgraphs, and propose a
novel method which assumes the existence of hierarchical properties. We
evaluate this new approach on several webgraphs and compare its performance
with that of the current best similarity-based algorithms. Its remarkable
performance leads us to argue on the applicability of the proposal, identifying
several use cases of hyperlink prediction. We also describes the approach we
took for the computation of large-scale graphs from the perspective of
high-performance computing, providing details on the implementation and
parallelization of code.


title: Uniform Continuity and Quantization on Bounded Symmetric Domains

abstract:
  We consider Toeplitz operators $T_f^{\lambda}$ with symbol $f$ acting on the
standard weighted Bergman spaces over a bounded symmetric domain $\Omega\subset
\mathbb{C}^n$. Here $\lambda > genus-1$ is the weight parameter. The classical
asymptotic semi-commutator relation $\lim_{\lambda \rightarrow \infty}
\big{\|}T_f^{\lambda} T_g^{\lambda} -T_{fg}^{\lambda} \big{\|}=0$ with $f,g \in
C(\overline{\mathbb{B}^n})$, where $\Omega=\mathbb{B}^n$ denotes the complex
unit ball, is extended to larger classes of bounded and unbounded operator
symbol-functions and to more general domains. We deal with operator symbols
that generically are neither continuous inside $\Omega$ (Section 4) nor admit a
continuous extension to the boundary (Section 3 and 4). Let $\beta$ denote the
Bergman metric distance function on $\Omega$. We prove that the semi-commutator
relation remains true for $f$ and $g$ in the space ${\rm UC}(\Omega)$ of all
$\beta$-uniformly continuous functions on $\Omega$. Note that this space
contains also unbounded functions. In case of the complex unit ball
$\Omega=\mathbb{B}^n \subset \mathbb{C}^n$ we show that the semi-commutator
relation holds true for bounded symbols in ${\rm VMO}(\mathbb{B}^n)$, where the
vanishing oscillation inside $\mathbb{B}^n$ is measured with respect to
$\beta$. At the same time the semi-commutator relation fails for generic
bounded measurable symbols. We construct a corresponding counterexample using
oscillating symbols that are continuous outside of a single point in $\Omega$.


title:
Multiple Signal Classification Algorithm for super-resolution
  fluorescence microscopy

abstract:
  Super-resolution microscopy is providing unprecedented insights into biology
by resolving details much below the diffraction limit. State-of-the-art Single
Molecule Localization Microscopy (SMLM) techniques for super-resolution are
restricted by long acquisition and computational times, or the need of special
fluorophores or chemical environments. Here, we propose a novel statistical
super-resolution technique of wide-field fluorescence microscopy called
MUltiple SIgnal Classification ALgorithm (MUSICAL) which has several advantages
over SMLM techniques. MUSICAL provides resolution down to at least 50 nm, has
low requirements on number of frames and excitation power and works even at
high fluorophore concentrations. Further, it works with any fluorophore that
exhibits blinking on the time scale of the recording. We compare imaging
results of MUSICAL with SMLM and four contemporary statistical super-resolution
methods for experiments of in-vitro actin filaments and datasets provided by
independent research groups. Results show comparable or superior performance of
MUSICAL. We also demonstrate super-resolution at time scales of 245 ms (using
49 frames at acquisition rate of 200 frames per second) in samples of live-cell
microtubules and live-cell actin filaments.


title: The Number Behind the Simplest SIC-POVM

abstract:
  The simple concept of a SIC poses a very deep problem in algebraic number
theory, as soon as the dimension of Hilbert space exceeds three. A detailed
description of the simplest possible example is given.


title: Extrapolation of scattering data to the negative-energy region

abstract:
  Explicit analytic expressions are derived for the effective-range function
for the case when the interaction is represented by a sum of the short-range
square-well and long-range Coulomb potentials. These expressions are then
transformed into forms convenient for extrapolating to the negative-energy
region and obtaining the information about bound-state properties. Alternative
ways of extrapolation are discussed. Analytic properties of separate terms
entering these expressions for the effective-range function and the
partial-wave scattering amplitude are investigated.


title: Enhanced responsiveness in asynchronous irregular neuronal networks

abstract:
  Networks of excitatory and inhibitory neurons display asynchronous irregular
(AI) states, where the activities of the two populations are balanced. At the
single cell level, it was shown that neurons subject to balanced and noisy
synaptic inputs can display enhanced responsiveness. We show here that this
enhanced responsiveness is also present at the network level, but only when
single neurons are in a conductance state and fluctuation regime consistent
with experimental measurements. In such states, the entire population of
neurons is globally influenced by the external input. We suggest that this
network-level enhanced responsiveness constitute a low-level form of sensory
awareness.


title: Multiple drawing multi-colour urns by stochastic approximation

abstract:
  A classical P\'olya urn scheme is a Markov process whose evolution is encoded
by a replacement matrix $(R_{i,j})_{1\leq i,j\leq d}$. At every discrete
time-step, we draw a ball uniformly at random, denote its colour $c$, and
replace it in the urn together with $R_{c,j}$ balls of colour $j$ (for all
$1\leq j\leq d$).
  We are interested in multi-drawing P\'olya urns, where the replacement rule
depends on the random drawing of a set of $m$ balls from the urn (with or
without replacement). This generalisation has already been studied in the
literature, in particular by Kuba & Mahmoud (ArXiv:1503.09069 and 1509.09053),
where second order asymptotic results are proved for $2$-colour urns under the
balanced and the affinity assumptions.
  The main idea of this work is to apply stochastic approximation methods to
this problem, which enables us to remove the affinity hypothesis of Kuba &
Mahmoud and generalise the result to more-than-two-colour urns. We also give
some partial results in the two-colour non-balanced case.


title:
NSVZ-like scheme for the photino mass in softly broken ${\cal N}=1$ SQED
  regularized by higher derivatives

abstract:
  In the case of using the higher derivative regularization we construct the
subtraction scheme which gives the NSVZ-like relation for the anomalous
dimension of the photino mass in softly broken ${\cal N}=1$ SQED with $N_f$
flavors in all loops. The corresponding renormalization prescription is
determined by simple boundary conditions imposed on the renormalization
constants. It allows fixing an arbitrariness of choosing finite counterterms in
every order of the perturbation theory in such a way that the renormalization
group functions defined in terms of the renormalized coupling constant satisfy
the NSVZ-like relation.


title:
Bertini theorems for hypersurface sections containing a subscheme over
  finite fields

abstract:
  We show the existence of a hypersurface that contains a given closed
subscheme of a projective space over a finite field and intersects a smooth
quasi-projective scheme smoothly, under some condition on the dimension. This
generalizes a Bertini theorem by Poonen and is the finite field analogue of a
Bertini theorem by Altman and Kleiman. Furthermore, we add the possibility of
modifying finitely many local conditions of the hypersurface. We show that the
condition on the dimension is fulfilled for schemes with simple normal
crossings and give an application to embeddings into smooth schemes.


title: Wetting of Water on Graphene

abstract:
  The wetting properties of graphene have proven controversial and difficult to
assess. The presence of a graphene layer on top of a substrate does not
significantly change the wetting properties of the solid substrate, suggesting
that a single graphene layer does not affect the adhesion between the wetting
phase and the substrate. However, wetting experiments of water on graphene show
contact angles that imply a large amount of adhesion. Here, we investigate the
wetting of graphene by measuring the mass of water vapor adsorbing to graphene
flakes of different thickness at different relative humidities. Our experiments
unambiguously show that the thinnest of graphene flakes do not adsorb water,
from which it follows that the contact angle of water on these flakes is ~180o.
Thicker flakes of graphene nanopowder, on the other hand, do adsorb water. A
calculation of the van der Waals (vdW) interactions that dominate the
adsorption in this system confirms that the adhesive interactions between a
single atomic layer of graphene and water are so weak that graphene is
superhydrophobic. The observations are confirmed in an independent experiment
on graphene-coated water droplets that shows that it is impossible to make
liquid 'marbles' with molecularly thin graphene.


title: Vector resonances at LHC Run II in composite 2HDM

abstract:
  We consider a model where the electroweak symmetry breaking is driven by
strong dynamics, resulting in an electroweak doublet scalar condensate, and
transmitted to the standard model matter fields via another electroweak doublet
scalar. At low energies the effective theory therefore shares features with a
type-I two Higgs doublet model. However, important differences arise due to the
rich composite spectrum expected to contain new vector resonances accessible at
the LHC. We carry out a systematic analysis of the vector resonance signals at
LHC and find that the model remains viable, but will be tightly constrained by
direct searches as the projected integrated luminosity, around 200 fb$^{-1}$,
of the current run becomes available.


title:
Influence of twist boundary on deformation behaviour of <100> BCC Fe
  nanowires

abstract:
  Molecular dynamics simulations revealed significant difference in deformation
behaviour of $<$100$>$ BCC Fe nanowires with and without twist boundary. The
plastic deformation in perfect $<$100$>$ BCC Fe nanowire was dominated by
twinning and reorientation to $<$110$>$ followed by further deformation by slip
mode. On the contrary, $<$100$>$ BCC Fe nanowire with a twist boundary deformed
by slip at low plastic strains followed by twinning at high strains and absence
of full reorientation. The results suggest that the deformation in $<$100$>$
BCC Fe nanowire by dislocation slip is preferred over twinning in the presence
of initial dislocations or dislocation networks. The results also explain the
absence of extensive twinning in bulk materials, which inherently contains
large number of dislocations.


title: Packing 1-Plane Hamiltonian Cycles in Complete Geometric Graphs

abstract:
  Counting the number of Hamiltonian cycles that are contained in a geometric
graph is {\bf \#P}-complete even if the graph is known to be planar
\cite{lot:refer}. A relaxation for problems in plane geometric graphs is to
allow the geometric graphs to be 1-plane, that is, each of its edges is crossed
at most once. We consider the following question: For any set $P\/$ of $n\/$
points in the plane, how many 1-plane Hamiltonian cycles can be packed into a
complete geometric graph $K_n\/$? We investigate the problem by taking two
different situations of $P\/$, namely, when $P\/$ is in convex position, wheel
configurations position. For points in general position we prove the lower
bound of $k-1\/$ where $n=2^{k}+h\/$ and $0\leq h <2^{k}\/$. In all of the
situations, we investigate the constructions of the graphs obtained.


title:
Relation between spectral changes and the presence of the lower kHz QPO
  in the neutron-star low-mass X-ray binary 4U 1636-53

abstract:
  We fitted the $3-180$-keV spectrum of all the observations of the
neutron-star low-mass X-ray binary 4U 1636$-$53 taken with the {\it Rossi X-ray
Timing Explorer} using a model that includes a thermal Comptonisation
component. We found that in the low-hard state the power-law index of this
component, $\Gamma$, gradually increases as the source moves in the
colour-colour diagram. When the source undergoes a transition from the hard to
the soft state $\Gamma$ drops abruptly; once the source is in the soft state
$\Gamma$ increases again and then decreases gradually as the source spectrum
softens further. The changes in $\Gamma$, together with changes of the electron
temperature, reflect changes of the optical depth in the corona. The lower
kilohertz quasi-periodic oscillation (kHz QPO) in this source appears only in
observations during the transition from the hard to the soft state, when the
optical depth of the corona is high and changes depends strongly upon the
position of the source in the colour-colour diagram. Our results are consistent
with a scenario in which the lower kHz QPO reflects a global mode in the system
that results from the resonance between, the disc and/or the neutron-star
surface, and the Comptonising corona.


title:
Event-chain Monte Carlo algorithms for three- and many-particle
  interactions

abstract:
  We generalize the rejection-free event-chain Monte Carlo algorithm from many
particle systems with pairwise interactions to systems with arbitrary three- or
many-particle interactions. We introduce generalized lifting probabilities
between particles and obtain a general set of equations for lifting
probabilities, the solution of which guarantees maximal global balance. We
validate the resulting three-particle event-chain Monte Carlo algorithms on
three different systems by comparison with conventional local Monte Carlo
simulations: (i) a test system of three particles with a three-particle
interaction that depends on the enclosed triangle area; (ii) a hard-needle
system in two dimensions, where needle interactions constitute three-particle
interactions of the needle end points; (iii) a semiflexible polymer chain with
a bending energy, which constitutes a three-particle interaction of neighboring
chain beads. The examples demonstrate that the generalization to many-particle
interactions broadens the applicability of event-chain algorithms considerably.


title:
On the Role and the Importance of Features for Background Modeling and
  Foreground Detection

abstract:
  Background modeling has emerged as a popular foreground detection technique
for various applications in video surveillance. Background modeling methods
have become increasing efficient in robustly modeling the background and hence
detecting moving objects in any visual scene. Although several background
subtraction and foreground detection have been proposed recently, no
traditional algorithm today still seem to be able to simultaneously address all
the key challenges of illumination variation, dynamic camera motion, cluttered
background and occlusion. This limitation can be attributed to the lack of
systematic investigation concerning the role and importance of features within
background modeling and foreground detection. With the availability of a rather
large set of invariant features, the challenge is in determining the best
combination of features that would improve accuracy and robustness in
detection. The purpose of this study is to initiate a rigorous and
comprehensive survey of features used within background modeling and foreground
detection. Further, this paper presents a systematic experimental and
statistical analysis of techniques that provide valuable insight on the trends
in background modeling and use it to draw meaningful recommendations for
practitioners. In this paper, a preliminary review of the key characteristics
of features based on the types and sizes is provided in addition to
investigating their intrinsic spectral, spatial and temporal properties.
Furthermore, improvements using statistical and fuzzy tools are examined and
techniques based on multiple features are benchmarked against reliability and
selection criterion. Finally, a description of the different resources
available such as datasets and codes is provided.


title: Learning to Compose Words into Sentences with Reinforcement Learning

abstract:
  We use reinforcement learning to learn tree-structured neural networks for
computing representations of natural language sentences. In contrast with prior
work on tree-structured models in which the trees are either provided as input
or predicted using supervision from explicit treebank annotations, the tree
structures in this work are optimized to improve performance on a downstream
task. Experiments demonstrate the benefit of learning task-specific composition
orders, outperforming both sequential encoders and recursive encoders based on
treebank annotations. We analyze the induced trees and show that while they
discover some linguistically intuitive structures (e.g., noun phrases, simple
verb phrases), they are different than conventional English syntactic
structures.


title:
Quantum Theory and Local Hidden Variable Theory: General Features and
  Tests for EPR Steering

abstract:
  In a previous paper tests for entanglement for two mode systems involving
identical massive bosons were obtained. In the present paper we consider
sufficiency tests for EPR steering in such systems. We find that spin squeezing
in any spin component, a Bloch vector test, the Hillery-Zubairy planar spin
variance test and squeezing in two mode quadratures all show that the quantum
state is EPR steerable. We also find a generalisation of the Hillery-Zubairy
planar spin variance test for EPR steering. The relation to previous
correlation tests is discussed. This paper is based on a detailed
classification of quantum states for bipartite systems. States for bipartite
composite systems are categorised in quantum theory as either separable or
entangled, but the states can also be divided differently into Bell local or
Bell non-local states in terms of local hidden variable theory (LHVT). For the
Bell local states there are three cases depending on whether both, one of or
neither of the LHVT probabilities for each sub-system are also given by a
quantum probability involving sub-system density operators. Cases where one or
both are given by a quantum probability are known as local hidden states (LHS)
and such states are non-steerable. The steerable states are the Bell local
states where there is no LHS, or the Bell non-local states. The relationship
between the quantum and hidden variable theory classification of states is
discussed.


title: Higher-spin fields and charges in the periodic spinor space

abstract:
  The $sp(2M)$ invariant unfolded system is considered in the periodic
twistor-like spinor space. Complete set of non-trivial charges corresponding to
the global symmetry compatible with the periodicity conditions is constructed.
Residual infinite-dimensional symmetry is realized in terms of the star-product
algebra. It is shown that charges associated with integrations over different
cycles are related by particular higher-spin symmetry transformations.


title: Study of the scalar-pseudoscalar interaction in the francium atom

abstract:
  Fr atom can be successively used to search for the atomic permanent electric
dipole moment (EDM) [Hyperfine Interactions 236, 53 (2015); Journal of Physics:
Conference Series 691, 012017 (2016)]. It can be induced by the permanent
electron EDM predicted by modern extensions of the standard model to be nonzero
at the level accessible by the new generation of EDM experiments. We consider
another mechanism of the atomic EDM generation in Fr. This is caused by the
scalar-pseudoscalar nucleus-electron neutral current interaction with the
dimensionless strength constant, $k_{T,P}$. Similar to the electron EDM this
interaction violates both spatial parity and time-reversal symmetries and can
also induce permanent atomic EDM. It was shown in [Phys. Rev. D 89, 056006
(2014)] that the scalar-pseudoscalar contribution to the atomic EDM can
dominate over the direct contribution from the electron EDM within the standard
model. We report high-accuracy combined all-electron and two-step relativistic
coupled cluster treatment of the effect from the scalar-pseudoscalar
interaction in the Fr atom. Up to the quadruple cluster amplitudes within the
CCSDT(Q) method were included in correlation treatment. This calculation is
required for the interpretation of the experimental data in terms of $k_{T,P}$.
The resulted EDM of the Fr atom expressed in terms of $k_{T,P}$ is $d_{\rm Fr}=
k_{T,P} \cdot 4.50\cdot10^{-18} e\cdot {\rm cm}$, where $e$ is the charge of
the electron. The value of the ionization potential of the $^2S_{1/2}$ ground
state of Fr calculated within the same methods is in a very good agreement with
the experiment.


title:
Alphabet Size Reduction for Secure Network Coding: A Graph Theoretic
  Approach

abstract:
  We consider a communication network where there exist wiretappers who can
access a subset of channels, called a wiretap set, which is chosen from a given
collection of wiretap sets. The collection of wiretap sets can be arbitrary.
Secure network coding is applied to prevent the source information from being
leaked to the wiretappers. In secure network coding, the required alphabet size
is an open problem not only of theoretical interest but also of practical
importance, because it is closely related to the implementation of such coding
schemes in terms of computational complexity and storage requirement. In this
paper, we develop a systematic graph-theoretic approach for improving Cai and
Yeung's lower bound on the required alphabet size for the existence of secure
network codes. The new lower bound thus obtained, which depends only on the
network topology and the collection of wiretap sets, can be significantly
smaller than Cai and Yeung's lower bound. A polynomial-time algorithm is
devised for efficient computation of the new lower bound.


title:
An abstract proof of the L2-singular dichotomy for orbital measures on
  Lie algebras and groups

abstract:
  Let $G$ be a compact, connected simple Lie group and $\mathfrak{g}$ its Lie
algebra. It is known that if $\mu $ is any $G$-invariant measure supported on
an adjoint orbit in $\mathfrak{g}$, then for each integer $k$, the $k$% -fold
convolution product of $\mu $ with itself is either singular or in $% L^{2}$.
This was originally proven by computations that depended on the Lie type of
$\mathfrak{g}$, as well as properties of the measure. In this note, we observe
that the validity of this dichotomy is a direct consequence of the
Duistermaat-Heckman theorem from symplectic geometry and that, in fact, any
convolution product of (even distinct) orbital measures is either singular or
in $L^{2+\varepsilon }$ for some $\varepsilon >0$. An abstract transference
result is given to show that the $L^{2}$-singular dichotomy holds for certain
of the $G$-invariant measures supported on conjugacy classes in $G.$


title: Three-electron spin qubits

abstract:
  The goal of this article is to review the progress of three-electron spin
qubits from their inception to the state of the art. We direct the main focus
towards the resonant exchange (RX) qubit and the exchange-only qubit, but we
also discuss other qubit implementations using three electron spins. For each
three-spin qubit we describe the qubit model, the physical realization, the
implementations of single-qubit operations, as well as the read-out and
initialization schemes. Two-qubit gates and decoherence properties are
discussed for the RX qubit and the exchange-only qubit, thereby, completing the
list of requirements for a viable candidate qubit implementation for quantum
computation. We start with describing the full system of three electrons in a
triple quantum dot, then discuss the charge-stability diagram and restrict
ourselves to the relevant subsystem, introduce the qubit states, and discuss
important transitions to other charge states. Introducing the various qubit
implementations, we begin with the exchange-only qubit, followed by the
spin-charge qubit, the hybrid qubit, and the RX qubit, discussing for each the
single-qubit operations, read-out, and initialization methods, whereas the main
focus will be on the RX qubit, whose single-qubit operations are realized by
driving the qubit at its resonant frequency in the microwave range similar to
electron spin resonance. Two different types of two-qubit operations are
presented for the exchange-only and the RX qubit which can be divided into
short-ranged and long-ranged interactions. Both of these interaction types can
be expected to be necessary in a large-scale quantum computer. We also take
into account the decoherence of the qubit through the influence of magnetic
noise as well as dephasing due to charge noise.


title:
Efficient Solution of Parameter Dependent Quasiseparable Systems and
  Computation of Meromorphic Matrix Functions

abstract:
  In this paper we focus on the solution of shifted quasiseparable systems and
of more general parameter dependent matrix equations with quasiseparable
representations. We propose an efficient algorithm exploiting the invariance of
the quasiseparable structure under diagonal shifting and inversion. This
algorithm is applied to compute various functions of matrices. Numerical
experiments show that this approach is fast and numerically robust.


title:
Differential $t\bar{t}$ Cross Section Measurements as a Function of
  Variables other than Kinematics

abstract:
  An overview of cross section measurements as a function of jet multiplicities
and jet kinematics in association with $t\bar{t}$ production is presented. Both
the ATLAS and the CMS collaborations performed a large number of measurements
at different center-of-mass energies of the LHC using various $t\bar{t}$ decay
channels. Theoretical predictions of these quantities usually rely on parton
shower simulations that strongly depends on tunable parameters and come with
large uncertainties. The measurements are compared to various theoretical
descriptions based on different combinations of matrix-element calculations and
parton-shower models.


title: Spaces of curves with constrained curvature on hyperbolic surfaces

abstract:
  Let $ S $ be a hyperbolic surface. We investigate the topology of the space
of all curves on $ S $ which start and end at given points in given directions,
and whose curvatures are constrained to lie in a given interval $
(\kappa_1,\kappa_2) $. Such a space falls into one of four qualitatively
distinct classes, according to whether $ (\kappa_1,\kappa_2) $ contains,
overlaps, is disjoint from, or contained in the interval $ [-1,1] $. Its
homotopy type is computed in the latter two cases. We also study the behavior
of these spaces under covering maps when $ S $ is arbitrary (not necessarily
hyperbolic nor orientable) and show that if $ S $ is compact then they are
always nonempty.


title:
Master stability functions for complete, intra-layer and inter-layer
  synchronization in multiplex networks

abstract:
  Synchronization phenomena are of broad interest across disciplines and
increasingly of interest in a multiplex network setting. Here we show how the
Master Stability Function, a celebrated framework for analyzing synchronization
on a single network, can be extended to certain classes of multiplex networks
with different intra-layer and inter-layer coupling functions. We derive three
master stability equations that determine respectively the necessary regions of
complete synchronization, intra-layer synchronization and inter-layer
synchronization. We calculate these three regions explicitly for the case of a
two-layer network of R{\"o}ssler oscillators and show that the overlap of the
regions determines the type of synchronization achieved. In particular, if the
inter- or intra-layer coupling function is such that the inter-layer or
intra-layer synchronization region is empty, complete synchronization cannot be
achieved regardless of the coupling strength. Furthermore, for any given nodal
dynamics and network structure, the occurrence of intra-layer and inter-layer
synchronization depend mainly on the coupling functions of nodes within a layer
and across layers, respectively. Our mathematical analysis requires that the
intra- and inter-layer supra-Laplacians commute. But we show this is only a
sufficient, and not necessary, condition and that the results can be applied
more generally.


title: An update of Leighton's solar dynamo model

abstract:
  In 1969 Leighton developed a quasi-1D mathematical model of the solar dynamo,
building upon the phenomenological scenario of Babcock(1961). Here we present a
modification and extension of Leighton's model. Using the axisymmetric
component of the magnetic field, we consider the radial field component at the
solar surface and the radially integrated toroidal magnetic flux in the
convection zone, both as functions of latitude. No assumptions are made with
regard to the radial location of the toroidal flux. The model includes the
effects of turbulent diffusion at the surface and in the convection zone,
poleward meridional flow at the surface and an equatorward return flow
affecting the toroidal flux, latitudinal differential rotation and the
near-surface layer of radial rotational shear, downward convective pumping of
magnetic flux in the shear layer, and flux emergence in the form of tilted
bipolar magnetic regions. While the parameters relevant for the transport of
the surface field are taken from observations, the model condenses the unknown
properties of magnetic field and flow in the convection zone into a few free
parameters (turbulent diffusivity, effective return flow, amplitude of the
source term, and a parameter describing the effective radial shear). Comparison
with the results of two-dimensional flux transport dynamo codes shows that the
model captures the essential features of these simulations. We carry out a
parameter study over the four-dimensional parameter space and identify the
parameter ranges that provide solar-like solutions. Dipole parity is always
preferred and solutions with periods around 22 years and a correct phase
difference between flux emergence in low latitudes and the strength of the
polar fields are found for a return flow speed around 2~m/s, turbulent
diffusivity <80~km^2/s, and dynamo excitation not too far above the threshold
(linear growth rate <0.1/yr).


title: Regularity of infinitesimal CR automorphisms

abstract:
  We study the regularity of infinitesimal CR automorphisms of abstract CR
structures which possess a certain microlocal extension and show that there are
smooth multipliers, completely determined by the CR structure, such that if $X$
is such an infinitesimal CR automorphism, then $\lambda X$ is smooth for all
multipliers $\lambda$. As an application, we study the regularity of
infinitesimal automorphisms of certain embedded hypersurfaces of infinite type.


title: Notes on conservation laws in chiral hydrodynamics

abstract:
  We consider chiral fluids within the standard framework of a chiral-invariant
underlying field theory, anomalous in presence of electromagnetic fields. Apart
from the Noether axial current of the underlying theory, in the limit of ideal
fluid there exist extra conserved currents, corresponding to classical helical
motions. The extra conservation laws are known to break down once viscosity is
non-vanishing. Which looks puzzling, as if introduction of viscosity were
inconsistent with chiral invariance. As a resolution of the puzzle, we argue
that locally one can introduce an inertial frame where an extra conservation
law still holds. In other words, the extra currents are covariantly conserved.
The emergent gravitational field is determined by dynamics of the viscous
fluid. We turn then to instabilities of chiral plasma against decays into
helical magnetic or vortical configurations. We emphasise similarity between
the two cases in the far infrared region, responsible for the decays. This
similarity is not apparent within the standard counting of orders in derivative
expansion. The material was originally prepared for a review talk by the
author.


title: Satellites and concordance of knots in 3-manifolds

abstract:
  Given a 3-manifold $Y$ and a free homotopy class in $[S^1,Y]$, we investigate
the set of topological concordance classes of knots in $Y \times [0,1]$
representing the given homotopy class. The concordance group of knots in the
3-sphere acts on this set. We show in many cases that the action is not
transitive, using two techniques. Our first technique uses Reidemeister torsion
invariants, and the second uses linking numbers in covering spaces. In
particular, we show using covering links that for the trivial homotopy class,
and for any 3-manifold that is not the 3-sphere, the set of orbits is infinite.
On the other hand, for the case that $Y=S^1 \times S^2$, we apply topological
surgery theory to show that all knots with winding number one are concordant.


title: Tuning nonradiative lifetimes via molecular aggregation

abstract:
  We show that molecular aggregation can strongly influence the nonradiative
decay (NRD) lifetime of an electronic excitation. As a demonstrative example,
we consider a transition-dipole-dipole-interacting dimer whose monomers have
harmonic potential energy surfaces (PESs). Depending on the position of the NRD
channel ($q_{\rm nr}$), we find that the NRD lifetime ($\tau_{\rm nr}^{\rm
dim}$) can exhibit a completely different dependence on the
intermolecular-interaction strength. We observe that (i) for $q_{\rm nr}$ near
the Franck-Condon region, $\tau_{\rm nr}^{\rm dim}$ increases with the
interaction strength; (ii) for $q_{\rm nr}$ near the minimum of the monomer
excited PES, the intermolecular interaction has little influence on $\tau_{\rm
nr}^{\rm dim}$; (iii) for $q_{\rm nr}$ near the classical turning point of the
monomer nuclear dynamics, on the other side of the minimum, $\tau_{\rm nr}^{\rm
dim}$ decreases with the interaction strength. Our findings suggest design
principles for molecular systems where a specific fluorescence quantum yield is
desired.


title: Tool Support for Continuous Quality Control

abstract:
  Over time, software systems suffer gradual quality decay and therefore costs
can rise if organizations fail to take proactive countermeasures. Quality
control is the first step to avoiding this cost trap. Continuous quality
assessments help users identify quality problems early, when their removal is
still inexpensive; they also aid decision making by providing an integrated
view of a software system's current status. As a side effect, continuous and
timely feedback helps developers and maintenance personnel improve their skills
and thereby decreases the likelihood of future quality defects. To make regular
quality control feasible, it must be highly automated, and assessment results
must be presented in an aggregated manner to avoid overwhelming users with
data. This article offers an overview of tools that aim to address these
issues. The authors also discuss their own flexible, open-source toolkit, which
supports the creation of dashboards for quality control.


title: Curvature of higher direct images

abstract:
  Given a holomorphic family $f:\mathcal{X} \to S$ of compact complex manifolds
of dimension $n$ and a relatively ample line bundle $L\to \mathcal{X}$, the
higher direct images $R^{n-p}f_*\Omega^p_{\mathcal{X}/S}(L)$ carry a natural
hermitian metric. We give an explicit formula for the curvature tensor of these
direct images. This generalizes the result of Schumacher, where he computed the
curvature of $R^{n-p}f_*\Omega^p_{\mathcal{X}/S}(K_{\mathcal{X}/S}^{\otimes
m})$ for a family of canonically polarized manifolds. For $p=n$, it coincides
with a formula of Berndtsson. Thus, when $L$ is globally ample, we reprove his
result on the Nakano positivity of $f_*(K_{\mathcal{X}/F}\otimes L)$.


title: Excesses of Cosmic Ray Spectra from A Single Nearby Source

abstract:
  Growing evidence reveals universal hardening on various cosmic ray spectra,
e.g. proton, positron, as well as antiproton fraction. Such universality may
indicate they have a common origin. In this paper, we argue that these
widespread excesses can be accounted for by a nearby supernova remnant
surrounded by a giant molecular cloud. Secondary cosmic rays ($\rm p$, $\rm
e^+$) are produced through the collisions between the primary cosmic ray nuclei
from this supernova remnant and the molecular gas. Different from the
background, which is produced by the ensemble of large amount of sources in the
Milky Way, the local injected spectrum can be harder. The time-dependent
transport of particles would make the propagated spectrum even harder. Under
this scenario, the anomalies of both primary ($\rm p$, $\rm e^-$) and secondary
($\rm e^+$, $\rm \bar{p}/p$) cosmic rays can be properly interpreted. We
further show that the TeV to sub-PeV anisotropy of proton is consistent with
the observations if the local source is relatively young and lying at the
anti-Galactic center direction.


title:
Learning Deep Representations Using Convolutional Auto-encoders with
  Symmetric Skip Connections

abstract:
  Unsupervised pre-training was a critical technique for training deep neural
networks years ago. With sufficient labeled data and modern training
techniques, it is possible to train very deep neural networks from scratch in a
purely supervised manner nowadays. However, unlabeled data is easier to obtain
and usually of very large scale. How to make use of them better to help
supervised learning is still a well-valued topic. In this paper, we investigate
convolutional denoising auto-encoders to show that unsupervised pre-training
can still improve the performance of high-level image related tasks such as
image classification and semantic segmentation. The architecture we use is a
convolutional auto-encoder network with symmetric shortcut connections. We
empirically show that symmetric shortcut connections are very important for
learning abstract representations via image reconstruction. When no extra
unlabeled data are available, unsupervised pre-training with our network can
regularize the supervised training and therefore lead to better generalization
performance. With the help of unsupervised pre-training, our method achieves
very competitive results in image classification using very simple
all-convolution networks. When labeled data are limited but extra unlabeled
data are available, our method achieves good results in several semi-supervised
learning tasks.


title:
Quark Mass Dependence of the QCD Critical End Point in the Strong
  Coupling Limit

abstract:
  Strong coupling lattice QCD in the dual representation allows to study the
full $\mu$-$T$ phase diagram, due to the mildness of the finite density sign
problem. Such simulations have been performed in the chiral limit, both at
finite $N_t$ and in the continuous time limit. Here we extend the phase diagram
to finite quark masses, with an emphasis on the low temperature first order
transition. We present our results on the quark mass dependence of the critical
end point and the first order line obtained by Monte Carlo via the worm
algorithm.


title:
Performance enhancement of non-minimum phase feedback systems by
  fractional-order cancellation of non-minimum phase zero on the Riemann
  surface: New theoretical and experimental results

abstract:
  The non-minimum phase (NMP) zero of a linear process located in the feedback
connection cannot be cancelled by the same pole of controller according to the
internal instability problem. However, such a zero can partly be cancelled by
the same fractional-order pole of a pre-compensator located in series with
process without facing internal instability. This paper first presents new
theoretical results on the properties of this method of cancellation, and
provides design techniques for the pre-compensator. It is especially shown that
by appropriate design of pre-compensator this method can simultaneously
increase the gain and phase margin of the system under control without a
considerable reduction of open-loop bandwidth, and consequently, it can make
the control problem easier to solve. Then, a method for realization of such a
pre-compensator is proposed and performance of the resulted closed-loop system
is studied through an experimental setup.


title:
Statistical Properties of European Languages and Voynich Manuscript
  Analysis

abstract:
  The statistical properties of letters frequencies in European literature
texts are investigated. The determination of logarithmic dependence of letters
sequence for one-language and two-language texts are examined. The pare of
languages is suggested for Voynich Manuscript. The internal structure of
Manuscript is considered. The spectral portraits of two-letters distribution
are constructed.


title:
Many-Body Coarse-Grained Interactions using Gaussian Approximation
  Potentials

abstract:
  This thesis introduces a framework that is able to describe general many-body
coarse-grained interactions. We make use of this to describe the free energy
surface as a cluster expansion in terms of monomer, dimer, and trimer terms.
The contributions to the free energy due to these terms are inferred from MD
results of the underlying all-atom model using Gaussian Approximation
Potentials, a type of machine-learning potential based on Gaussian process
regression. This provides CG interactions that are much more accurate than is
possible with site-based pair potentials. While slower than these, it can still
be faster than all-atom simulations for solvent-free CG models of systems with
a large amount of solvent, as is common in biomolecular simulations.


title: News from Cosmic Gamma-ray Line Observations

abstract:
  The measurement of gamma rays at MeV energies from cosmic radioactivities is
one of the key tools for nuclear astrophysics, in its study of nuclear
reactions and how they shape objects such as massive stars and supernova
explosions. Additionally, the unique gamma-ray signature from the annihilation
of positrons falls into this same astronomical window, and positrons are often
produced from radioactive beta decays. Nuclear gamma-ray telescopes face
instrumental challenges from penetrating gamma rays and cosmic-ray induced
backgrounds. But the astrophysical benefits of such efforts are underlined by
the discoveries of nuclear gamma~rays from the brightest of the expected
sources. In recent years, both thermonuclear and core-collapse supernova
radioactivity gamma~rays have been measured in spectral detail, and complement
conventional supernova observations with measurements of origins in deep
supernova interiors, from the decay of $^{56}$Ni, $^{56}$Co, and $^{44}$Ti. The
diffuse afterglow in gamma rays of radioactivity from massive-star
nucleosynthesis is analysed on the large (galactic) scale, with findings
important for recycling of matter between successive stellar generations: From
$^{26}$Al gamma-ray line spectroscopy, interstellar cavities and superbubbles
have been recognised in their importance for ejecta transport and recycling.
Diffuse galactic emissions from radioactivity and positron-annihilation
$\gamma$~rays should be connected to nucleosynthesis sources: Recently new
light has been shed on this connection, among others though different
measurements of radioactive $^{60}$Fe, and through spectroscopy of positron
annihilation gamma~rays from a flaring microquasar and from different parts of
our Galaxy.


title: Active particle dynamics beyond the jamming density

abstract:
  Many biological systems form colonies at high density. Passive granular
systems will be jammed at such densities, yet for the survival of biological
systems it is crucial that they are dynamic. We construct a phase diagram for a
system of active particles interacting via Vicsek alignment, and vary the
density, self-propulsion force, and orientational noise. We find that the
system exhibits four different phases, characterized by transitions in the
effective diffusion constant and in the orientational order parameter. Our
simulations show that there exists an optimal noise such that particles require
a minimal force to unjam, allowing for rearrangements.


title: A complement to Diananda's inequality

abstract:
  Let $M_{n,r}=(\sum_{i=1}^{n}q_ix_i^r)^{\frac {1}{r}}, r \neq 0$ and
$M_{n,0}=\lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of $n$
non-negative numbers $x_i$ with $q_i > 0$ satisfying $\sum^n_{i=1}q_i=1$. In
particular, $A_n=M_{n,1}, G_n=M_{n,0}$ are the arithmetic and geometric means
of these numbers, respectively. A result of Diananda shows that \begin{align*}
M_{n,1/2}-qA_n-(1-q)G_n & \geq 0,\\ M_{n,1/2}-(1-q)A_n-qG_n & \leq
0,\end{align*} where $q=\min q_i$. In this paper, we prove analogue
inequalities in the reversed direction.


title:
Towards a cosmic-ray mass-composition study at Tunka Radio Extension
  (ARENA 2016)

abstract:
  The Tunka Radio Extension (Tunka-Rex) is a radio detector at the TAIGA
facility located in Siberia nearby the southern tip of Lake Baikal. Tunka-Rex
measures air-showers induced by high-energy cosmic rays, in particular, the
lateral distribution of the radio pulses. The depth of the air-shower maximum,
which statistically depends on the mass of the primary particle, is determined
from the slope of the lateral distribution function (LDF). Using a
model-independent approach, we have studied possible features of the
one-dimensional slope method and tried to find improvements for the
reconstruction of primary mass. To study the systematic uncertainties given by
different primary particles, we have performed simulations using the CONEX and
CoREAS software packages of the recently released CORSIKA v7.5 including the
modern high-energy hadronic models QGSJet-II.04 and EPOS-LHC. The simulations
have shown that the largest systematic uncertainty in the energy deposit is due
to the unknown primary particle. Finally, we studied the relation between the
polarization and the asymmetry of the LDF.


title: Study of linearity of LYSO crystal for HERD calorimeter

abstract:
  The High Energy cosmic Radiation Detection (HERD) facility is a space mission
designed for detecting cosmic ray (CR) electrons, $\gamma$-rays up to tens of
TeV and CR nuclei from proton to iron up to several PeV. The main instrument of
HERD is a 3-D imaging calorimeter (CALO) composed of nearly ten thousand cubic
LYSO crystals. A large dynamic range of single HERD CALO Cell (HCC) is
necessary to achieve HERD's PeV observation objectives, which means that the
response of HCC should maintain a good linearity from minimum ionizing particle
(MIP) calibration to PeV shower maximum. In order to study the linearity of HCC
over such a large energy range, a beam test has been implemented at the E2 and
E3 beam lines of BEPC. High intensity pulsed electron beam provided by E2 line
are used for producing high energy density within HCC; $\pi^{+}$/proton
provided by E3 line are used for HCC calibration. The results show that no
saturation effect occurs and the linearity of HCC is better than 10% from 30
MeV (1 MIP) to 1.1$\times$10$^{3}$ TeV (energy density is 93 TeV/cm$^{3}$),
which can meet the requirement mentioned above.


title:
Anomalous Dimensions and the Renormalizability of the Four-Fermion
  Interaction

abstract:
  We show that when the dynamical dimension of the $\bar{\psi}\psi$ operator is
reduced from three to two in a fermion electrodynamics with scaling, a
$g(\bar{\psi}\psi)^2+g(\bar{\psi}i\gamma^5\psi)^2$ four-fermion interaction
which is dressed by this electrodynamics becomes renormalizable. In the
fermion-antifermion scattering amplitude every term in an expansion to
arbitrary order in $g$ is found to diverge as just a single ultraviolet
logarithm (i.e. no log squared or higher), and is thus made finite by a single
subtraction. While not necessary for renormalizability per se, the reduction in
the dimension of $\bar{\psi}\psi$ to two leads to dynamical chiral symmetry
breaking in the infrared, with the needed subtraction then automatically being
provided by the theory itself through the symmetry breaking mechanism, with
there then being no need to introduce the subtraction by hand. Since the vector
and axial vector currents are conserved, they do not acquire any anomalous
dimension, with the four-fermion $(\bar{\psi}\gamma^{\mu}\psi)^2$ and
$(\bar{\psi}\gamma^{\mu}\gamma^5\psi)^2$ interactions instead having to be
controlled by the standard Higgs mechanism.


title: Generalizing the Kelly strategy

abstract:
  Prompted by a recent experiment by Victor Haghani and Richard Dewey, this
note generalises the Kelly strategy (optimal for simple investment games with
log utility) to a large class of practical utility functions and including the
effect of extraneous wealth.
  A counterintuitive result is proved : for any continuous, concave,
differentiable utility function, the optimal choice at every point depends only
on the probability of reaching that point.
  The practical calculation of the optimal action at every stage is made
possible through use of the binomial expansion, reducing the problem size from
exponential to quadratic.
  Applications include (better) automatic investing and risk taking under
uncertainty.


title: Development of a data model to facilitate rapid Watershed Delineation

abstract:
  A data model to store and retrieve surface watershed boundaries using graph
theoretic approaches is proposed. This data model integrates output from a
standard digital elevation models (DEM) derived stream catchment boundaries,
and vector representation of stream centerlines then applies them to three
novel algorithms. The first is called Modified Nested Set (MNS), which is a
depth first graph traversal algorithm that searches across stream reaches
(vertices) and stream junctions (edges) labeling vertices by their discovery
time, finish time, and distance from the root. The second is called Log Reduced
Graphs (LRG), which creates a set S of logarithmically reduced graphs from the
original data, to store the watershed boundaries. The final algorithm is called
Stitching Watershed, which provides a technique to merge watershed boundaries
across the set of graphs created in the LRG algorithm.
  This technique was applied to the ~ 30,600 km2 Delaware River Watershed and
compared to hypothetical data storage models in terms of prep-processing, data
storage, and query complexity costs. Results show that the proposed technique
provides significant benefits vs. the hypothetical methods with a 99-98%
reduction in prepossessing, 96-80% reduction in query complexity and a 76%
reduction in storage costs. The increasing availability of high resolution
elevation data within the United States and the internationally provides an
opportunity to extend these results to other watersheds through the world.


title:
Naming the Pain in Requirements Engineering: Comparing Practices in
  Brazil and Germany

abstract:
  As part of the Naming the Pain in Requirements Engineering (NaPiRE)
initiative, researchers compared problems that companies in Brazil and Germany
encountered during requirements engineering (RE). The key takeaway was that in
RE, human interaction is necessary for eliciting and specifying high-quality
requirements, regardless of country, project type, or company size.


title:
A Liouville Theorem for a Class of Fractional Systems in
  $\mathbb{R}^n_+$

abstract:
  Let $0<\alpha,\beta<2$ be any real number. In this paper, we investigate the
following semilinear system involving the fractional Laplacian
\begin{equation*} \left\{\begin{array}{lll} (-\lap)^{\alpha/2} u(x)=f(v(x)), &
(-\lap)^{\beta/2} v(x)=g(u(x)), & \qquad x\in\mathbb{R}^n_+, u,v\geq0, & \qquad
x\in\mathbb{R}^n\setminus\mathbb{R}^n_+. \end{array}\right. \end{equation*}
Applying a direct method of moving planes for the fractional Laplacian, without
any decay assumption on the solutions at infinity, we prove Liouville theorems
of nonnegative solutions under some natural conditions on $f$ and $g$.


title: Central invariants revisited

abstract:
  We use refined spectral sequence arguments to calculate known and previously
unknown bi-Hamiltonian cohomology groups, which govern the deformation theory
of semi-simple bi-Hamiltonian pencils of hydrodynamic type with one independent
and \( N\) dependent variables. In particular, we rederive the result of
Dubrovin-Liu-Zhang that these deformations are parametrized by the so-called
central invariants, which are \( N\) smooth functions of one variable.


title:
Complete bases of canonical polynomials and the full recursive
  formulation of the spectral-tau method

abstract:
  A decomposition of a higher order linear differential operator with
polynomial coefficients into a direct sum of two factor operators is obtained.
This leads to a lower echelon matrix representation for operators of the above
mentioned type arising from a finite sequence of elementary operations. As a
consequence, a complete basis of canonical polynomials is generated via a
modified Ortiz' recurrence formula. The approach presented in this paper
enables us to curry out the full and self-operative recursive implementation of
the spectral-tau method. These results can be applied to a variety of operator
equations associated with infinite matrices in lower row echelon form, having
implications for a broad family of discrete and continuous numerical methods,
interpreted as special realizations of the tau method under specific
perturbation terms.


title: Examples of non-algebraic classes in the Brown-Peterson tower

abstract:
  For every $n\ge 0$, we construct classes in the Brown-Peterson cohomology
$BP\langle n \rangle$ of smooth projective complex algebraic varieties which
are not in the image of the cycle map from the corresponding motivic
Brown-Peterson cohomology. This generalizes the examples of Atiyah and
Hirzebruch to all finite levels in the Brown-Peterson tower.


title:
Electron cyclotron emission at the fundamental harmonic in GDT magnetic
  mirror

abstract:
  This paper summarizes the results of experiments on electron cyclotron
emission (ECE) measurements at the fundamental harmonic recently performed at
the axially symmetric magnetic mirror device GDT (Budker Institute,
Novosibirsk). New ECE diagnostics is installed to facilitate the successful
electron cyclotron resonance heating experiment and operates in the vicinity of
the heating frequency of 54.5 GHz. Besides expected emission of thermal
electrons, a clearly resolved non-thermal ECE is observed indicating the
presence of suprathermal electrons driven by high-power microwave heating. The
particulars of plasma emission are studied experimentally in a broad range of
discharge scenarios.


title: Doping of metal-organic frameworks towards resistive sensing

abstract:
  Coordination polymerization leads to various metal-organic frameworks (MOFs)
in which symmetrical metal nodes exposed to nano voids lead to unique physical
properties and chemical functionalities. One of the challenges towards their
applications as porous materials is to make MOFs optimally conductive to be
used as electronic components. Here, we demonstrate that Co-MOF-74, a honeycomb
nano{framework with one{dimensionally arranged cobalt atoms advances its
physical properties by accommodating Tetracyanochinodimethan (TCNQ), an
acceptor molecule. Strong intermolecular charge transfer narrows the optical
band gap down to 1.5 eV of divalent TCNQ and enhances the electrical
conduction, which allows the MOF to be utilized for resistive gas- and
photo-sensing. Our result provides insight into electronic interactions in
doped MOFs and paves the way towards their electronic applications.


abstract:
  This is the Proceedings of NIPS 2016 Workshop on Interpretable Machine
Learning for Complex Systems, held in Barcelona, Spain on December 9, 2016


title: A geometric approach to Hall algebras I: Higher Associativity

abstract:
  We construct a geometric system from which the Hall algebra can be recovered.
This system inherently satisfies higher associativity conditions and thus leads
to a categorification of the Hall algebra. We then suggest how to use this
approach to construct categorified representations.