title:
A new technique for elucidating $\beta$-decay schemes which involve
  daughter nuclei with very low energy excited states

abstract:
  A new technique of elucidating $\beta$-decay schemes of isotopes with large
density of states at low excitation energies has been developed, in which a
Broad Energy Germanium (BEGe) detector is used in conjunction with coaxial
hyper-pure germanium detectors. The power of this technique has been
demonstrated on the example of 183Hg decay. Mass-separated samples of 183Hg
were produced by a deposition of the low-energy radioactive-ion beam delivered
by the ISOLDE facility at CERN. The excellent energy resolution of the BEGe
detector allowed $\gamma$ rays energies to be determined with a precision of a
few tens of electronvolts, which was sufficient for the analysis of the
Rydberg-Ritz combinations in the level scheme. The timestamped structure of the
data was used for unambiguous separation of $\gamma$ rays arising from the
decay of 183Hg from those due to the daughter decays.


title: Giant Linear Magneto-resistance in Nonmagnetic PtBi2

abstract:
  We synthesized nonmagnetic PtBi$_2$ single crystals and observed a giant
linear magneto-resistance (MR) up to 684\% under a magnetic field $\mu_0H$ = 15
T at $T$ = 2 K. The linear MR decreases with increasing temperature, but it is
still as large as 61\% under $\mu_0H$ of 15 T at room temperature. Such a giant
linear MR is unlikely to be described by the quantum model as the quantum
condition is not satisfied. Instead, we found that the slope of MR scales with
the Hall mobility, and it can be well explained by a classical disorder model.


title:
A couple of remarks on the convergence of $\sigma$-fields on probability
  spaces

abstract:
  The following modes of convergence of sub-$\sigma$-fields on a given
probability space have been studied in the literature: weak convergence, strong
convergence, convergence with respect to the Hausdorff metric, almost-sure
convergence, set-theoretic convergence, monotone convergence. It is noted that
all preserve independence, and all are invariant under passage to an equivalent
probability measure. Partial results for the case of operator-norm convergence
obtain.


title: Time Optimal Spectrum Sensing

abstract:
  Spectrum sensing is a fundamental operation in cognitive radio environment.
It gives information about spectrum availability by scanning the bands. Usually
a fixed amount of time is given to scan individual bands. Most of the times,
historical information about the traffic in the spectrum bands is not used. But
this information gives the idea, how busy a specific band is. Therefore,
instead of scanning a band for a fixed amount of time, more time can be given
to less occupied bands and less time to heavily occupied ones. In this paper we
have formulated the time assignment problem as integer linear programming and
source coding problems. The time assignment problem is solved using the
associated stochastic optimization problem.


title:
Molecular Dynamics Simulations of Janus Particle Dynamics in Uniform
  Flow

abstract:
  We use molecular dynamics simulations to study the dynamics of Janus
particles, micro- or nanoparticles which are not spherically symmetric, in the
uniform flow of a simple liquid. In particular we consider spheres with an
asymmetry in the solid-liquid interaction over their surfaces and calculate the
forces and torques experienced by the particles as a function of their
orientation with respect to the flow. We also examine particles that are
deformed slightly from a spherical shape. We compare the simulation results to
the predictions of a previously introduced theoretical approach, which computes
the forces and torques on particles with variable slip lengths or aspherical
deformations that are much smaller than the particle radius. We find that there
is good agreement between the forces and torques computed from our simulations
and the theoretical predictions, when the slip condition is applied to the
first layer of liquid molecules adjacent to the surface.


title:
The Paleoclimatic evidence for Strongly Interacting Dark Matter Present
  in the Galactic Disk

abstract:
  Using a recent geochemical reconstruction of the Phanerozoic climate which
exhibits a 32 Ma oscillation with a phase and the secondary modulation expected
from the vertical the motion of the solar system perpendicular to the galactic
plane (shaviv et al. 2014), we show that a kinematically cold strongly
interacting disk dark matter (dDM) component is necessarily present in the
disk. It has a local density $\rho_\mathrm{dDM} = 0.11 \pm 0.03$
M$_{\odot}/$pc$^3$. It is also consistent with the observed constraints on the
total gravitating mass and the baryonic components, and it is the natural value
borne from the Toomre stability criterion. It also has surface density
$\Sigma_\mathrm{dDM} = 15 \pm 5$ M$_{\odot}/$pc$^2$ and a vertical velocity
dispersion of $\sigma_{W} = 8.0 \pm 4.5$ km/s. A dense ("dinosaur killing")
thin disk is ruled out. The "normal" halo dark matter (hDM) component should
then have a local density $\rho_\mathrm{hDM} \lesssim 0.01$ M$_{\odot}/$pc$^3$.
If the dDM component follows the baryons, its average density parameter is
$\Omega_\mathrm{dDM} = 1.5 \pm 0.5\%$ and it comprises about 1/8 to 1/4 of
Milky Way (MW) mass within the solar circle.


title: On tests of general relativity with binary radio pulsars

abstract:
  The timing of radio pulsars in binary systems provides a superb testing
ground of general relativity. Here we propose a Bayesian approach to carry out
these tests, and a relevant efficient numerical implementation, that has
several conceptual and practical advantages with respect to traditional methods
based on least-square-fits that have been used so far: (i) it accounts for the
actual structure of the likelihood function - and it is not predicated on the
Laplace approximation which is implicitly built in least-square fits that can
potentially bias the inference - (ii) it provides the ratio of the evidences of
any two models under consideration as the statistical quantity to compare
different theories, and (iii) it allows us to put joint constraints from the
monitoring of multiple systems, that can be expressed in terms of ratio of
evidences or probability intervals of global (thus not system-dependent)
parameters of the theory, if any exists. Our proposed approach optimally
exploits the progress in timing of radio pulsars and the increase in the number
of observed systems. We demonstrate the power of this framework using simulated
data sets that are representative of current observations.


title: How is Lorentz Invariance encoded in the Hamiltonian?

abstract:
  One of the disadvantages of the Hamiltonian formulation is that Lorentz
invariance is not manifest in the former. Given a Hamiltonian, there is no
simple way to check whether it is relativistic or not. One would either have to
solve for the equations of motion or calculate the Poisson Brackets of the
Noether charges to perform such a check. In this paper we show that, for a
class of Hamiltonians, it is possible to check Lorentz invariance directly from
the Hamiltonian. Our work is particularly useful for theories where the other
methods may not be readily available.


title:
e-Commerce product classification: our participation at cDiscount 2015
  challenge

abstract:
  This report describes our participation in the cDiscount 2015 challenge where
the goal was to classify product items in a predefined taxonomy of products.
Our best submission yielded an accuracy score of 64.20\% in the private part of
the leaderboard and we were ranked 10th out of 175 participating teams. We
followed a text classification approach employing mainly linear models. The
final solution was a weighted voting system which combined a variety of trained
models.


title:
Analysis of the strong decays $D_{s3}^*(2860)\to DK$, $D^{*}K$ with QCD
  sum rules

abstract:
  In this article, we assign the $D_{s3}^*(2860)$ to be a D-wave $c\bar{s}$
meson, study the hadronic coupling constants $G_{D_{s3}^*(2860)DK}$ and
$G_{D_{s3}^*(2860)D^*K}$ with the three-point QCD sum rules, and calculate the
partial decay widths $\Gamma\left(D_{s3}^*(2860)\to D^{*}K\right)$ and
$\Gamma\left(D_{s3}^*(2860)\to DK\right)$. The predicted ratio
$R=\Gamma\left(D_{s3}^*(2860)\to D^{*}K\right)/\Gamma\left(D_{s3}^*(2860)\to
DK\right)=0.57\pm0.38$ cannot reproduce the experimental value $R={\rm
Br}\left(D_{sJ}^*(2860)\to D^{*}K\right)/{\rm Br}\left(D_{sJ}^*(2860)\to
DK\right)=1.10 \pm 0.15 \pm 0.19$.


title:
Optimization of a solid-state electron spin qubit using Gate Set
  Tomography

abstract:
  State of the art qubit systems are reaching the gate fidelities required for
scalable quantum computation architectures. Further improvements in the
fidelity of quantum gates demands characterization and benchmarking protocols
that are efficient, reliable and extremely accurate. Ideally, a benchmarking
protocol should also provide information on how to rectify residual errors.
Gate Set Tomography (GST) is one such protocol designed to give detailed
characterization of as-built qubits. We implemented GST on a high-fidelity
electron-spin qubit confined by a single $^{31}$P atom in $^{28}$Si. The
results reveal systematic errors that a randomized benchmarking analysis could
measure but not identify, whereas GST indicated the need for improved
calibration of the length of the control pulses. After introducing this
modification, we measured a new benchmark average gate fidelity of
$99.942(8)\%$, an improvement on the previous value of $99.90(2)\%$.
Furthermore, GST revealed high levels of non-Markovian noise in the system,
which will need to be understood and addressed when the qubit is used within a
fault-tolerant quantum computation scheme.


title: Analytization of elastic scattering amplitude

abstract:
  Scenario for restoration of the real part of the elastic scattering amplitude
has been proposed for the unitarity saturation case. Dependence of the real
part of the elastic scattering amplitude on the transferred momentum $-t$ at
the asymptotical energies has been restored from the corresponding imaginary
part on the basis of derivative analyticity relations (analytization
procedure).


title: A Thorough Examination of the CNN/Daily Mail Reading Comprehension Task

abstract:
  Enabling a computer to understand a document so that it can answer
comprehension questions is a central, yet unsolved goal of NLP. A key factor
impeding its solution by machine learned systems is the limited availability of
human-annotated data. Hermann et al. (2015) seek to solve this problem by
creating over a million training examples by pairing CNN and Daily Mail news
articles with their summarized bullet points, and show that a neural network
can then be trained to give good performance on this task. In this paper, we
conduct a thorough examination of this new reading comprehension task. Our
primary aim is to understand what depth of language understanding is required
to do well on this task. We approach this from one side by doing a careful
hand-analysis of a small subset of the problems and from the other by showing
that simple, carefully designed systems can obtain accuracies of 73.6% and
76.6% on these two datasets, exceeding current state-of-the-art results by
7-10% and approaching what we believe is the ceiling for performance on this
task.


title: Maximal switchability of centralized networks

abstract:
  We consider continuous time Hopfield-like recurrent networks as dynamical
models for gene regulation and neural networks. We are interested in networks
that contain n high-degree nodes preferably connected to a large number of Ns
weakly connected satellites, a property that we call n/Ns-centrality. If the
hub dynamics is slow, we obtain that the large time network dynamics is
completely defined by the hub dynamics. Moreover, such networks are maximally
flexible and switchable, in the sense that they can switch from a globally
attractive rest state to any structurally stable dynamics when the response
time of a special controller hub is changed. In particular, we show that a
decrease of the controller hub response time can lead to a sharp variation in
the network attractor structure: we can obtain a set of new local attractors,
whose number can increase exponentially with N, the total number of nodes of
the nework. These new attractors can be periodic or even chaotic. We provide an
algorithm, which allows us to design networks with the desired switching
properties, or to learn them from time series, by adjusting the interactions
between hubs and satellites. Such switchable networks could be used as models
for context dependent adaptation in functional genetics or as models for
cognitive functions in neuroscience.


title:
MetaboTools: A comprehensive toolbox for analysis of genome-scale
  metabolic models

abstract:
  Metabolomic data sets provide a direct read-out of cellular phenotypes and
are increasingly generated to study biological questions. Our previous work
revealed the potential of analyzing extracellular metabolomic data in the
context of the metabolic model using constraint-based modeling. Through this
work, which consists of a protocol, a toolbox, and tutorials of two use cases,
we make our methods available to the broader scientific community. The protocol
describes, in a step-wise manner, the workflow of data integration and
computational analysis. The MetaboTools comprise the Matlab code required to
complete the workflow described in the protocol. Tutorials explain the
computational steps for integration of two different data sets and demonstrate
a comprehensive set of methods for the computational analysis of metabolic
models and stratification thereof into different phenotypes. The presented
workflow supports integrative analysis of multiple omics data sets.
Importantly, all analysis tools can be applied to metabolic models without
performing the entire workflow. Taken together, this protocol constitutes a
comprehensive guide to the intra-model analysis of extracellular metabolomic
data and a resource offering a broad set of computational analysis tools for a
wide biomedical and non-biomedical research community.


title:
Simultaneous Inpainting and Denoising by Directional Global Three-part
  Decomposition: Connecting Variational and Fourier Domain Based Image
  Processing

abstract:
  We consider the very challenging task of restoring images (i) which have a
large number of missing pixels, (ii) whose existing pixels are corrupted by
noise and (iii) the ideal image to be restored contains both cartoon and
texture elements. The combination of these three properties makes this inverse
problem a very difficult one. The solution proposed in this manuscript is based
on directional global three-part decomposition (DG3PD) [ThaiGottschlich2016]
with directional total variation norm, directional G-norm and
$\ell_\infty$-norm in curvelet domain as key ingredients of the model. Image
decomposition by DG3PD enables a decoupled inpainting and denoising of the
cartoon and texture components. A comparison to existing approaches for
inpainting and denoising shows the advantages of the proposed method. Moreover,
we regard the image restoration problem from the viewpoint of a Bayesian
framework and we discuss the connections between the proposed solution by
function space and related image representation by harmonic analysis and
pyramid decomposition.


title:
Performance-Portable Many-Core Plasma Simulations: Porting PIConGPU to
  OpenPower and Beyond

abstract:
  With the appearance of the heterogeneous platform OpenPower,many-core
accelerator devices have been coupled with Power host processors for the first
time. Towards utilizing their full potential, it is worth investigating
performance portable algorithms that allow to choose the best-fitting hardware
for each domain-specific compute task. Suiting even the high level of
parallelism on modern GPGPUs, our presented approach relies heavily on abstract
meta-programming techniques, which are essential to focus on fine-grained
tuning rather than code porting. With this in mind, the CUDA-based open-source
plasma simulation code PIConGPU is currently being abstracted to support the
heterogeneous OpenPower platform using our fast porting interface cupla, which
wraps the abstract parallel C++11 kernel acceleration library Alpaka. We
demonstrate how PIConGPU can benefit from the tunable kernel execution
strategies of the Alpaka library, achieving portability and performance with
single-source kernels on conventional CPUs, Power8 CPUs and NVIDIA GPUs.


title:
Refined regularity for the blow-up set at non characteristic points for
  the complex semilinear wave equation

abstract:
  In this paper, we consider a blow-up solution for the complex-valued
semilinear wave equation with power non-linearity in one space dimension. We
show that the set of non characteristic points $I_0$ is open and that the
blow-up curve is of class $C^{1,\mu_0}$ and the phase $\theta$ is $C^{\mu_0}$
on this set. In order to prove this result, we introduce a Liouville Theorem
for that equation.


title: Nuclear longitudinal structure function in eA processes at the LHeC

abstract:
  The nucleon and nuclear longitudinal structure functions are determined by
the Kharzeev-Levin-Nardin (KLN) model of the low $x$ gluon distribution. The
behavior of the gluon distribution ratio $R_{g}={G^{A}}/{AG^{p}}$ and the ratio
$R_{L}^{total}={F_{L}^{A-total}}/{AF_{L}^{p-total}}$ in this processes are
found.
  The heavy longitudinal structure function ratios in eA processes at the LHeC
region are discussed. Heavy contributions to the ratio of the total
longitudinal structure function are considerable and should not be neglected
especially at smaller $x$ of the LHeC project.
  In the KLN model the new geometrical scaling for transition from the linear
to nonlinear regions in accordance with the LHeC processes is used, whose
results intensively depended on the heavy quarks mass effect.


title: Hall-plot of the phase diagram for Ba(Fe1-xCox)2As2

abstract:
  The Hall effect is a powerful tool for investigating carrier type and
density. For single-band materials, the Hall coefficient is traditionally
expressed simply by $R_H^{-1} = -en$, where $e$ is the charge of the carrier,
and $n$ is the concentration. However, it is well known that in the critical
region near a quantum phase transition, as it was demonstrated for cuprates and
heavy fermions, the Hall coefficient exhibits strong temperature and doping
dependencies, which can not be described by such a simple expression, and the
interpretation of the Hall coefficient for Fe-based superconductors is also
problematic. Here, we investigate thin films of Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$
with compressive and tensile in-plane strain in a wide range of Co doping. Such
in-plane strain changes the band structure of the compounds, resulting in
various shifts of the whole phase diagram as a function of Co doping. We show
that the resultant phase diagrams for different strain states can be mapped
onto a single phase diagram with the Hall number. This universal plot is
attributed to the critical fluctuations in multiband systems near the
antiferromagnetic transition, which may suggest a direct link between magnetic
and superconducting properties in the BaFe$_2$As$_2$ system.


title:
Cache-enabled Device-to-Device Communications: Offloading Gain and
  Energy Cost

abstract:
  By caching files at users, content delivery traffic can be offloaded via
device-to-device (D2D) links if a helper user is willing to transmit the cached
file to the user who requests the file. In practice, the user device has
limited battery capacity, and may terminate the D2D connection when its battery
has little energy left. Thus, taking the battery consumption allowed by the
helper users to support D2D into account introduces a reduction in the possible
amount of offloading. In this paper, we investigate the relationship between
offloading gain of the system and energy cost of each helper user. To this end,
we introduce a user-centric protocol to control the energy cost for a helper
user to transmit the file. Then, we optimize the proactive caching policy to
maximize the offloading opportunity, and optimize the transmit power at each
helper to maximize the offloading probability. Finally, we evaluate the overall
amount of traffic offloaded to D2D links and evaluate the average energy
consumption at each helper, with the optimized caching policy and transmit
power. Simulations show that a significant amount of traffic can be offloaded
even when the energy cost is kept low.


title:
High Throughput Opportunistic Cooperative Device-to-Device
  Communications With Caching

abstract:
  To achieve the potential in providing high throughput for cellular networks
by device-to-device (D2D) communications, the interference among D2D links
should be carefully managed. In this paper, we propose an opportunistic
cooperation strategy for D2D transmission by exploiting the caching capability
at the users to control the interference among D2D links. We consider overlay
inband D2D, divide the D2D users into clusters, and assign different frequency
bands to cooperative and non-cooperative D2D links. To provide high opportunity
for cooperative transmission, we introduce a caching policy. To maximize the
network throughput, we jointly optimize the cluster size and bandwidth
allocation, where the closed-form expression of the bandwidth allocation factor
is obtained. Simulation results demonstrate that the proposed strategy can
provide 400%-500% throughput gain over traditional D2D communications when the
content popularity distribution is skewed, and can provide 60%-80% gain even
when the content popularity distribution is uniform.


title: Anti-Powers in Infinite Words

abstract:
  In combinatorics of words, a concatenation of $k$ consecutive equal blocks is
called a power of order $k$. In this paper we take a different point of view
and define an anti-power of order $k$ as a concatenation of $k$ consecutive
pairwise distinct blocks of the same length. As a main result, we show that
every infinite word contains powers of any order or anti-powers of any order.
That is, the existence of powers or anti-powers is an unavoidable regularity.
Indeed, we prove a stronger result, which relates the density of anti-powers to
the existence of a factor that occurs with arbitrary exponent. As a
consequence, we show that in every aperiodic uniformly recurrent word,
anti-powers of every order begin at every position. We further show that every
infinite word avoiding anti-powers of order $3$ is ultimately periodic, while
there exist aperiodic words avoiding anti-powers of order $4$. We also show
that there exist aperiodic recurrent words avoiding anti-powers of order $6$.


title: Baby Skyrme model and fermionic zero modes

abstract:
  In this work we investigate some features of the fermionic sector of the
supersymmetric version of the baby Skyrme model. We find that, in the
background of BPS compact Skyrmions, fermionic zero modes are confined to the
defect core. Further, we show that, while three SUSY generators are broken in
the defect core, SUSY is completely restored outside. We study also the effect
of a D-term deformation of the model. Such a deformation allows for the
existence of fermionic zero modes and broken SUSY outside the compact defect.


title:
Charge transfer and weak bonding between molecular oxygen and graphene
  zigzag edges at low temperatures

abstract:
  Electron paramagnetic resonance (EPR) study of air-physisorbed defective
carbon nano-onions evidences in favor of microwave assisted formation of
weakly-bound paramagnetic complexes comprising negatively-charged O2- ions and
edge carbon atoms carrying pi-electronic spins. These complexes being located
on the graphene edges are stable at low temperatures but irreversibly
dissociate at temperatures above 50-60 K. These EPR findings are justified by
density functional theory (DFT) calculations demonstrating transfer of an
electron from the zigzag edge of graphene-like material to oxygen molecule
physisorbed on the graphene sheet edge. This charge transfer causes changing
the spin state of the adsorbed oxygen molecule from S = 1 to S = 1/2 one. DFT
calculations show significant changes of adsorption energy of oxygen molecule
and robustness of the charge transfer to variations of the graphene-like
substrate morphology (flat and corrugated mono- and bi-layered graphene) as
well as edges passivation. The presence of H- and COOH- terminated edge carbon
sites with such corrugated substrate morphology allows formation of ZE-O2-
paramagnetic complexes characterized by small (<50 meV) binding energies and
also explains their irreversible dissociation as revealed by EPR.

categories: cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph physics.comp-ph


title: The study of Thai stock market across the 2008 financial crisis

abstract:
  The cohomology theory for financial market can allow us to deform Kolmogorov
space of time series data over time period with the explicit definition of
eight market states in grand unified theory. The anti-de Sitter space induced
from a coupling behavior field among traders in case of a financial market
crash acts like gravitational field in financial market spacetime. Under this
hybrid mathematical superstructure, we redefine a behavior matrix by using
Pauli matrix and modified Wilson loop for time series data. We use it to detect
the 2008 financial market crash by using a degree of cohomology group of sphere
over tensor field in correlation matrix over all possible dominated stocks
underlying Thai SET50 Index Futures. The empirical analysis of financial tensor
network was performed with the help of empirical mode decomposition and
intrinsic time scale decomposition of correlation matrix and the calculation of
closeness centrality of planar graph.


title: Nanocomposite RE-Ba-Cu-O bulk superconductors

abstract:
  Nanocomposite oxide high-temperature bulk superconductors can be used as
quasi-magnets. Thanks to the recent progress of material processing,
quasi-magnet with 26 mm diameter can generate a large field of 17.6 T at 26 K.
These results are highly attractive for applications, involving levitation of
permanent magnets on the bulk superconductors. Indeed, several other
applications such as motors and magnetic resonance microscope using bulk
superconductors have been proposed and demonstrated. In this chapter, we
describe several techniques to improve the magnetic properties for bulk
superconductors together with some basics such as phase diagrams and
solidifications.


title: Partitions of Minimal Length on Manifolds

abstract:
  We study partitions on three dimensional manifolds which minimize the total
geodesic perimeter. We propose a relaxed framework based on a
$\Gamma$-convergence result and we show some numerical results. We compare our
results to those already present in the literature in the case of the sphere.
For general surfaces we provide an optimization algorithm on meshes which can
give a good approximation of the optimal cost, starting from the results
obtained using the relaxed formulation.


title: On multiplicatively dependent vectors of algebraic numbers

abstract:
  In this paper, we give several asymptotic formulas for the number of
multiplicatively dependent vectors of algebraic numbers of fixed degree, or
within a fixed number field, and bounded height.


title:
Simulation of Channeling and Radiation of 855 MeV Electrons and
  Positrons in a Small-Amplitude Short-Period Bent Crystal

abstract:
  Channeling and radiation are studied for the relativistic electrons and
positrons passing through a Si crystal periodically bent with a small amplitude
and a short period. Comprehensive analysis of the channeling process for
various bending amplitudes is presented on the grounds of numerical
simulations. The features of the channeling are highlighted and elucidated
within an analytically developed continuous potential approximation. The
radiation spectra are computed and discussed.


title: Experimental Verification of a Spin-Interference Device Action

abstract:
  We report the detection of spin interference signal in an Aharonov-Bohm type
interferometer with quantum dots on the conduction paths. We have found that
resonators like quantum dots can work as efficient spin rotators. The
interference signal appears only when spin-polarized electrons are injected
into the device. The interference pattern in the gate voltage-magnetic field
plane is checker board like, ensuring the modulation of spin wavefunction's
phase as well as the orbital phase.


title:
Understanding User Instructions by Utilizing Open Knowledge for Service
  Robots

abstract:
  Understanding user instructions in natural language is an active research
topic in AI and robotics. Typically, natural user instructions are high-level
and can be reduced into low-level tasks expressed in common verbs (e.g.,
`take', `get', `put'). For robots understanding such instructions, one of the
key challenges is to process high-level user instructions and achieve the
specified tasks with robots' primitive actions. To address this, we propose
novel algorithms by utilizing semantic roles of common verbs defined in
semantic dictionaries and integrating multiple open knowledge to generate task
plans. Specifically, we present a new method for matching and recovering
semantics of user instructions and a novel task planner that exploits
functional knowledge of robot's action model. To verify and evaluate our
approach, we implemented a prototype system using knowledge from several open
resources. Experiments on our system confirmed the correctness and efficiency
of our algorithms. Notably, our system has been deployed in the KeJia robot,
which participated the annual RoboCup@Home competitions in the past three years
and achieved encouragingly high scores in the benchmark tests.


title:
What is Learning Analytics about? A Survey of Different Methods Used in
  2013-2015

abstract:
  The area of Learning Analytics has developed enormously since the first
International Conference on Learning Analytics and Knowledge (LAK) in 2011. It
is a field that combines different disciplines such as computer science,
statistics, psychology and pedagogy to achieve its intended objectives. The
main goals illustrate in creating convenient interventions on learning as well
as its environment and the final optimization about learning domain
stakeholders. Because the field matures and is now adapted in diverse
educational settings, we believe there is a pressing need to list its own
research methods and specify its objectives and dilemmas. This paper surveys
publications from Learning Analytics and Knowledge conference from 2013 to 2015
and lists the significant research areas in this sphere. We consider the method
profile and classify them into seven different categories with a brief
description on each. Furthermore, we show the most cited method categories
using Google scholar. Finally, the authors raise the challenges and constraints
that affect its ethical approach through the meta-analysis study. It is
believed that this paper will help researchers to identify the common methods
used in Learning Analytics, and it will assist by establishing a future
forecast towards new research work taking into account the privacy and ethical
issues of this strongly emerged field.


title: Transducer-based Rewriting Games for Active XML

abstract:
  Context-free games are two-player rewriting games that are played on nested
strings representing XML documents with embedded function symbols. These games
were introduced to model rewriting processes for intensional documents in the
Active XML framework, where input documents are to be rewritten into a given
target schema by calls to external services.
  This paper studies the setting where dependencies between inputs and outputs
of service calls are modelled by transducers, which has not been examined
previously. It defines transducer models operating on nested words and studies
their properties, as well as the computational complexity of the winning
problem for transducer-based context-free games in several scenarios. While the
complexity of this problem is quite high in most settings (ranging from
NP-complete to undecidable), some tractable restrictions are also identified.


title:
Determination of the temperature dependence of the up- down-quark mass
  in QCD

abstract:
  The temperature dependence of the sum of the QCD up- and down-quark masses,
$(m_u + m_d)$ and the pion decay constant, $f_\pi$, are determined from two
thermal finite energy QCD sum rules for the pseudoscalar-current correlator.
This quark-mass remains mostly constant for temperatures well below the
critical temperature for deconfinement/chiral-symmetry restoration. As this
critical temperature is approached, the quark-mass increases sharply with
increasing temperature. This increase is far more pronounced if the temperature
dependence of the pion mass (determined independently from other methods) is
taken into account. The behavior of $f_\pi(T)$ is consistent with the
expectation from chiral symmetry, i.e. that it should follow the thermal
dependence of the quark condensate, independently of the quark mass.


title: Spatial Orientation of Spin Vectors of Blue-shifted Galaxies

abstract:
  We present the analysis of the spin vector orientation of 5$\,$987 SDSS
galaxies having negative redshift from $-$87.6 to $-$0.3 km$\,$s$^{-1}$. Two
dimensional observed parameters are used to compute three dimensional galaxy
rotation axes by applying `position angle--inclination' method. We aim to
examine the non-random effects in the spatial orientation of blue-shifted
galaxies. We generate 5$\times$10$^6$ virtual galaxies to find expected
isotropic distributions by performing numerical simulations. We have written
MATLAB program to facilitate the simulation process and eliminate the manual
errors in the process. Chi-square, auto-correlation, and the Fourier tests are
used to examine non-random effects in the polar and azimuthal angle
distributions of the galaxy rotation axes. In general, blue-shifted galaxies
show no preferred alignments of galaxy rotation axes. Our results support
Hierarchy model, which suggests a random orientation of angular momentum
vectors of galaxies. However, local effects are noted suggesting gravitational
tidal interaction between neighboring galaxies.


title: NESTML: a modeling language for spiking neurons

abstract:
  Biological nervous systems exhibit astonishing complexity .Neuroscientists
aim to capture this com- plexity by modeling and simulation of biological
processes. Often very comple xm odels are nec- essary to depict the processes,
which makes it dif fi cult to create these models. Powerful tools are thus
necessary ,which enable neuroscientists to express models in acomprehensi ve
and concise way and generate ef fi cient code for digital simulations. Se veral
modeling languages for computational neuroscience ha ve been proposed [Gl10,
Ra11]. Howe ver, as these languages seek simulator inde- pendence the
ytypically only support asubset of the features desired by the modeler .Int his
article, we present the modular and extensible domain speci fi cl anguage
NESTML, which provides neuro- science domain concepts as fi rst-class language
constructs and supports domain experts in creating neuron models for the neural
simulation tool NEST .N ESTML and aset of example models are publically
available on GitHub.


title:
Pilot-wave quantum theory in discrete space and time and the principle
  of least action

abstract:
  The idea of obtaining a pilot-wave quantum theory on a lattice with discrete
time is presented. The motion of quantum particles is described by a
$|\Psi|^2$-distributed Markov chain. Stochastic matrices of the process are
found by the discrete version of the least-action principle. Probability
currents are the consequence of Hamilton's principle and the stochasticity of
the Markov process is minimized. As an example, stochastic motion of single
particles in a double-slit experiment is examined.


title: Optimisation of High Efficiency AlGaAs MQW Solar Cells

abstract:
  The GaAs/AlGaAs materials system is well suited to multi-bandgap applications
such as the multiple quantum well solar cell. GaAs quantum wells are inserted
in the undoped AlGaAs active region of a pin structure to extend the absorption
range while retaining a higher open circuit voltage than would be provided by a
cell made of the well material alone. Unfortunately aluminium gallium arsenide
(AlGaAs) suffers from poor transport characteristics due to DX centres and
oxygen contamination during growth, which degrade the spectral response. We
investigate three mechanisms for improving the spectral response of the MQW
solar cell while an experimental study of the open circuit voltage examines the
voltage enhancement. An optimised structure for a high efficiency GaAs/AlGaAs
solar cell is proposed.


title: Nucleation and structural growth of cluster crystals

abstract:
  We study the nucleation of crystalline cluster phases in the generalized
exponential model with exponent n=4. Due to the finite value of this pair
potential for zero separation, at high densities the system forms cluster
crystals with multiply occupied lattice sites. Here, we investigate the
microscopic mechanisms that lead to the formation of cluster crystals from a
supercooled liquid in the low-temperature region of the phase diagram. Using
molecular dynamics and umbrella sampling, we calculate the free energy as a
function of the size of the largest crystalline nucleus in the system, and
compare our results with predictions from classical nucleation theory.
Employing bond-order parameters based on a Voronoi tessellation to distinguish
different crystal structures, we analyze the average composition of crystalline
nuclei. We find that even for conditions where a multiply-occupied fcc crystal
is the thermodynamically stable phase, the nucleation into bcc cluster crystals
is strongly preferred. Furthermore, we study the particle mobility in the
supercooled liquid and in the cluster crystal. In the cluster crystal, the
motion of individual particles is captured by a simple reaction-diffusion model
introduced previously to model the kinetics of hydrogen bonds.


title:
Few strongly interacting ultracold fermions in one-dimensional traps of
  different shapes

abstract:
  The ground-state properties of a few spin-1/2 fermions with different masses
and interacting via short-range contact forces are studied within an exact
diagonalization approach. It is shown that, depending on the shape of the
external confinement, different scenarios of the spatial separation between
components manifested by specific shapes of the density profiles can be
obtained in the strong interaction limit. We find that the ground-state of the
system undergoes a specific transition between orderings when the confinement
is changed adiabatically from a uniform box to a harmonic oscillator shape. We
study the properties of this transition in the framework of the finite-size
scaling method adopted to few-body systems.


title: Two-loop QED corrections to the Altarelli-Parisi splitting functions

abstract:
  We compute the two-loop QED corrections to the Altarelli-Parisi (AP)
splitting functions by using a deconstructive algorithmic Abelianization of the
well-known NLO QCD corrections. We present explicit results for the full set of
splitting kernels in a basis that includes the leptonic distribution functions
that, starting from this order in the QED coupling, couple to the partonic
densities. Finally, we perform a phenomenological analysis of the impact of
these corrections in the splitting functions.


title: Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization

abstract:
  We evaluate in the framework of QCD factorization the two-loop vertex
corrections to the decays $\bar{B}_{(s)}\to D_{(s)}^{(\ast)+} \, L^-$ and
$\Lambda_b \to \Lambda_c^+ \, L^-$, where $L$ is a light meson from the set
$\{\pi,\rho,K^{(\ast)},a_1\}$. These decays are paradigms of the QCD
factorization approach since only the colour-allowed tree amplitude contributes
at leading power. Hence they are sensitive to the size of power corrections
once their leading-power perturbative expansion is under control. Here we
compute the two-loop ${\cal O}(\alpha_s^2)$ correction to the leading-power
hard scattering kernels, and give the results for the convoluted kernels almost
completely analytically. Our newly computed contribution amounts to a positive
shift of the magnitude of the tree amplitude by $\sim 2$\%. We then perform an
extensive phenomenological analysis to NNLO in QCD factorization, using the
most recent values for non-perturbative input parameters. Given the fact that
the NNLO perturbative correction and updated values for form factors increase
the theory prediction for branching ratios, while experimental central values
have at the same time decreased, we reanalyze the role and potential size of
power corrections by means of appropriately chosen ratios of decay channels.


title: Approximation Algorithm for N-distance Minimal Vertex Cover Problem

abstract:
  Evolution of large scale networks demand for efficient way of communication
in the networks. One way to propagate information in the network is to find
vertex cover. In this paper we describe a variant of vertex cover problem
naming it N-distance Vertex Minimal Cover(N-MVC) Problem to optimize
information propagation throughout the network. A minimum subset of vertices of
a unweighted and undirected graph G = (V, E) is called N-MVC if for all v in V
, v is at distance less than or equal to N from at least one of the the
vertices in N-MVC. In the following paper, this problem is defined, formulated
and an approximation algorithm is proposed with discussion on its correctness
and upper bound.


title: Mass limits for the chiral color symmetry $G'$-boson from LHC dijet data

abstract:
  The contributions of $G'$-boson predicted by the chiral color symmetry of
quarks to the differential dijet cross-sections in $pp$-collisions at the LHC
are calculated and analysed in dependence on two free parameters of the model,
the $G'$ mass $m_{G'}$ and mixing angle $\theta_G$. The exclusion and
consistency $m_{G'}-\theta_G$ regions imposed by the ATLAS and CMS data on
dijet cross-sections are found. Using the CT10 (MSTW~2008) PDF set we show that
the $G'$-boson for $\theta_G=45^{\circ}$, i.e. the axigluon, with the masses
$m_{G'} < 2.3 \,\, (2.6) \,\, \mbox{TeV}$ and $m_{G'} < 3.35 \,\, (3.25) \,\,
\mbox{TeV}$ is excluded at the probability level of $95\%$ by the ATLAS and CMS
dijet data respectively. For the other values of $\theta_G$ the exclusion
limits are more stringent. The $m_{G'}-\theta_G$ regions consistent with these
data at $CL=68\%$ and $CL=90\%$ are also found.


title: Edinburgh Neural Machine Translation Systems for WMT 16

abstract:
  We participated in the WMT 2016 shared news translation task by building
neural translation systems for four language pairs, each trained in both
directions: English<->Czech, English<->German, English<->Romanian and
English<->Russian. Our systems are based on an attentional encoder-decoder,
using BPE subword segmentation for open-vocabulary translation with a fixed
vocabulary. We experimented with using automatic back-translations of the
monolingual News corpus as additional training data, pervasive dropout, and
target-bidirectional models. All reported methods give substantial
improvements, and we see improvements of 4.3--11.2 BLEU over our baseline
systems. In the human evaluation, our systems were the (tied) best constrained
system for 7 out of 8 translation directions in which we participated.


title: Linguistic Input Features Improve Neural Machine Translation

abstract:
  Neural machine translation has recently achieved impressive results, while
using little in the way of external linguistic information. In this paper we
show that the strong learning capability of neural MT models does not make
linguistic features redundant; they can be easily incorporated to provide
further improvements in performance. We generalize the embedding layer of the
encoder in the attentional encoder--decoder architecture to support the
inclusion of arbitrary features, in addition to the baseline word feature. We
add morphological features, part-of-speech tags, and syntactic dependency
labels as input features to English<->German, and English->Romanian neural
machine translation systems. In experiments on WMT16 training and test sets, we
find that linguistic input features improve model quality according to three
metrics: perplexity, BLEU and CHRF3. An open-source implementation of our
neural MT system is available, as are sample files and configurations.


title: Optimal compression for identically prepared qubit states

abstract:
  We establish the ultimate limits to the compression of sequences of
identically prepared qubits. The limits are determined by Holevo's information
quantity and are attained through use of the optimal universal cloning machine,
which finds here a novel application to quantum Shannon theory.


title:
A Comprehensive Analysis of Deep Learning Based Representation for Face
  Recognition

abstract:
  Deep learning based approaches have been dominating the face recognition
field due to the significant performance improvement they have provided on the
challenging wild datasets. These approaches have been extensively tested on
such unconstrained datasets, on the Labeled Faces in the Wild and YouTube
Faces, to name a few. However, their capability to handle individual appearance
variations caused by factors such as head pose, illumination, occlusion, and
misalignment has not been thoroughly assessed till now. In this paper, we
present a comprehensive study to evaluate the performance of deep learning
based face representation under several conditions including the varying head
pose angles, upper and lower face occlusion, changing illumination of different
strengths, and misalignment due to erroneous facial feature localization. Two
successful and publicly available deep learning models, namely VGG-Face and
Lightened CNN have been utilized to extract face representations. The obtained
results show that although deep learning provides a powerful representation for
face recognition, it can still benefit from preprocessing, for example, for
pose and illumination normalization in order to achieve better performance
under various conditions. Particularly, if these variations are not included in
the dataset used to train the deep learning model, the role of preprocessing
becomes more crucial. Experimental results also show that deep learning based
representation is robust to misalignment and can tolerate facial feature
localization errors up to 10% of the interocular distance.


title: Snell's Law for Spin Waves

abstract:
  We report the experimental observation of Snell's law for magneto-static spin
waves in thin ferromagnetic Permalloy films by imaging incident, refracted and
reflected waves. We use a thickness step as the interface between two media
with different dispersion relation. Since the dispersion relation for
magneto-static waves in thin ferromagnetic films is anisotropic, deviations
from the isotropic Snell's law known in optics are observed for incidence
angles larger than 25\textdegree{} with respect to the interface normal between
the two magnetic media. Furthermore, we can show that the thickness step
modifies the wavelength and the amplitude of the incident waves. Our findings
open up a new way of spin wave steering for magnonic applications.


title: DANSS: Detector of the reactor AntiNeutrino based on Solid Scintillator

abstract:
  The DANSS project is aimed at creating a relatively compact neutrino
spectrometer which does not contain any flammable or other dangerous liquids
and may therefore be located very close to the core of an industrial power
reactor. As a result, it is expected that high neutrino flux would provide
about 15,000 IBD interactions per day in the detector with a sensitive volume
of 1 m$^3$. High segmentation of the plastic scintillator will allow to
suppress a background down to a 1% level. Numerous tests performed with a
simplified pilot prototype DANSSino under a 3 GW$_{th}$ reactor of the Kalinin
NPP have demonstrated operability of the chosen design. The DANSS detector
surrounded with a composite shield is movable by means of a special lifting
gear, varying the distance to the reactor core in a range from 10 m to 12 m.
Due to this feature, it could be used not only for the reactor monitoring, but
also for fundamental research including short-range neutrino oscillations to
the sterile state. Supposing one-year measurement, the sensitivity to the
oscillation parameters is expected to reach a level of $sin^2(2\theta)$ ~ 0.005
with $\Delta m^2 \subset (0.02-5.0)$ eV$^2$.


title:
Spin-1 bosons in an external magnetic field and a three body interaction
  potential

abstract:
  We perform a thorough study of the effect of an external magnetic field on a
spin-1 ultracold Bose gas via mean field approach corresponding to the both
signs of the spin dependent interaction. In contrast to some of the earlier
studies, the magnetic field in our work is included through both the hopping
frequencies (via Peierls coupling) and the zeeman interaction, thereby
facilitating an explo- ration for competition between the two. The phase
diagrams in the antiferromagnetic case shows that the Mott insulating (MI)
phase with even particle occupancies is stable at low magnetic fields. At
higher magnetic fields, due to a competition between the hopping and the zeeman
interaction terms, the latter tries to destabilize the MI phase by suppressing
the formation of singlet pairs, while the former tends to stabilize the MI
phase. In the ferromagnetic case, the MI lobes become more stable with
increasing flux strengths. Further inclusion of a three body interaction
potential in order to ascertain its role on the phase diagram, we found that in
absence of the magnetic field, the MI lobes become more stable compared to the
superfluid (SF) phase and the location of the transition point for the MI-SF
phase increases with increasing the three body interaction strength. A strong
coupling perturbative calculation has also been done to provide a comparison
with our mean field phase diagrams. Lastly, with inclusion of the external
field, the insulating phases are found to be further stabilized by the three
body interaction potential.


title:
Global Dynamics below the standing waves for the focusing semilinear
  Schr\"{o}dinger equation with a repulsive Dirac delta potential

abstract:
  We consider the focusing mass supercritical semilinear Schr\"{o}dinger
equation with a repulsive Dirac delta potential on the real line (deltaNLS).
Our aim in the present paper is to find a necessary and sufficient condition on
the data below the standing wave of NLS without a potential to determine the
global behavior of the solution. Moreover, we determine the global dynamics of
the radial solution whose mass-energy is larger than that of the standing wave
and smaller than that of the standing wave of deltaNLS.


title:
A Cognitive Architecture for the Implementation of Emotions in Computing
  Systems

abstract:
  In this paper we present a new neurobiologically-inspired affective cognitive
architecture: NEUCOGAR (NEUromodulating COGnitive ARchitecture). The objective
of NEUCOGAR is the identification of a mapping from the influence of serotonin,
dopamine and noradrenaline to the computing processes based on Von Neuman's
architecture, in order to implement affective phenomena which can operate on
the Turing's machine model. As basis of the modeling we use and extend the
L\"ovheim Cube of Emotion with parameters of the Von Neumann architecture.
Validation is conducted via simulation on a computing system of dopamine
neuromodulation and its effects on the Cortex. In the experimental phase of the
project, the increase of computing power and storage redistribution due to
emotion stimulus modulated by the dopamine system, confirmed the soundness of
the model.


title: On Continuous-space Embedding of Discrete-parameter Queueing Systems

abstract:
  Motivated by the problem of discrete-parameter simulation optimization (DPSO)
of queueing systems, we consider the problem of embedding the discrete
parameter space into a continuous one so that descent-based continuous-space
methods could be directly applied for efficient optimization. We show that a
randomization of the simulation model itself can be used to achieve such an
embedding when the objective function is a long-run average measure. Unlike
spatial interpolation, the computational cost of this embedding is independent
of the number of parameters in the system, making the approach ideally suited
to high-dimensional problems. We describe in detail the application of this
technique to discrete-time queues for embedding queue capacities, number of
servers and server-delay parameters into continuous space and empirically show
that the technique can produce smooth interpolations of the objective function.
Through an optimization case-study of a queueing network with $10^7$ design
points, we demonstrate that existing continuous optimizers can be effectively
applied over such an embedding to find good solutions.


title: Short circuit current enhancement in GaAs/AlGaAs MQW solar cells

abstract:
  The GaAs/AlGaAs quantum well solar cell (QWSC) shows promise as a novel
approach to higher efficiency solar cells but suffers from a poor short circuit
current Jsc. We report on efforts to reduce this problem with the use of
compositional grading and back surface mirroring. We present experimental
quantum efficiency (QE) data on a range of compositionally graded QWSCs and
devices in which the back surface of the cell is coated with a mirror,
increasing the optical thickness of the quantum well layer in the long
wavelength range. The experimental QE spectra are reproduced by a model which
deals with arbitrary compositional profiles and optical cavities formed in the
mirrored cells. The model is used to design an optimised QWSC, and projected
Jsc values given. Applications including II-VI and tandem solar cells are
considered.


title:
Speckle decorrelation in Ultrasound-modulated optical tomography made by
  heterodyne holography

abstract:
  Ultrasound-modulated optical tomography (UOT) is a technique that images
optical contrast deep inside scattering media. Heterodyne holography is a
promising tool able to detect the UOT tagged photons with high efficiency. In
this work, we describe theoretically the detection of the tagged photon in
heterodyne holography based UOT, show how to filter the untagged photon
discuss, and discuss the effect of speckle decorrelation. We show that optimal
detection sensitivity can obtain, if the frame exposure time is of the order of
the decorrelation time.


title:
Modeling Variability in Template-based Code Generators for Product Line
  Engineering

abstract:
  Generating software from abstract models is a prime activity in
model-drivenengineering. Adaptable and extendable code generators are important
to address changing technologies as well as user needs. However, theyare less
established, as variability is often designed as configuration options of
monolithic systems. Thus, code generation is often tied to a fixed set of
features, hardly reusable in different contexts, and without means for
configuration of variants. In this paper,we present an approach for developing
product lines of template-based code generators. This approach applies concepts
from feature-oriented programming to make variability explicit and manageable.
Moreover, it relies on explicit variability regions (VR) in a code generators
templates, refinements of VRs, and the aggregation of templates and refinements
into reusable layers. Aconcrete product is defined by selecting one or multiple
layers. If necessary, additional layers required due to VR refinements are
automatically selected.


title:
Graded structures and differential operators on nearly holomorphic and
  quasimodular forms on classical groups

abstract:
  We wish to use graded structures [KrVu87], [Vu01] on dffierential operators
and quasimodular forms on classical groups and show that these structures
provide a tool to construct p-adic measures and p-adic L-functions on the
corresponding non-archimedean weight spaces. An approach to constructions of
automorphic L-functions on uni-tary groups and their p-adic avatars is
presented. For an algebraic group G over a number eld K these L functions are
certain Euler products L(s, $\pi$, r, $\chi$). In particular, our constructions
cover the L-functions in [Shi00] via the doubling method of Piatetski-Shapiro
and Rallis. A p-adic analogue of L(s, $\pi$, r, $\chi$) is a p-adic analytic
function L p (s, $\pi$, r, $\chi$) of p-adic arguments s $\in$ Z p , $\chi$ mod
p rPresented in a talk for the INTERNATIONAL SCIENTIFIC CONFERENCE "GRADED
STRUCTURES IN ALGEBRA AND THEIR APPLICATIONS" dedicated to the memory of Prof.
Marc Krasner on Friday, September 23, 2016, International University Centre
(IUC), Dubrovnik, Croatia.


title:
Lannes' t functor on injective unstable modules and harish-chandra
  restriction

abstract:
  In the 1980's, the magic properties of the cohomology of elementary abelian
groups as modules over the Steenrod algebra initiated a long lasting
interaction between topology and modular representation theory in natural
characteristic. The Adams-Gunawardena-Miller theorem in particular, showed that
their decomposition is governed by the modular representations of the
semi-groups of square matrices. Applying Lannes' T functor on the summands L P
:= Hom Mn(Fp) (P, H * (F p) n) defines an intriguing construction in
representation theory. We show that T(L P) $\sim$ = L P $\oplus$ H * V 1
$\otimes$ L $\delta$(P) , defining a functor $\delta$ from F p [M n (F
p)]-projectives to F p [M n--1 (F p)]-projectives. We relate this new functor
$\delta$ to classical constructions in the representation theory of the general
linear groups.


title: Giant spin-orbit splitting of point defect states in monolayer WS$_2$

abstract:
  The spin-orbit coupling (SOC) effect has been known to be profound in
monolayer pristine transition metal dichalcogenides (TMDs). Here we show that
point defects, which are omnipresent in the TMD membranes, exhibit even
stronger SOC effects and change the physics of the host materials drastically.
In this Article we chose the representative monolayer WS\sub{2} slabs from the
TMD family together with seven typical types of point defects including
monovacancies, interstitials, and antisites. We calculated the formation
energies of these defects, and studied the effect of spin-orbit coupling (SOC)
on the corresponding defect states. We found that the S monovacancy (V\sub{S} )
and S interstitial (adatom) have the lowest formation energies. In the case of
V\sub{S} and both of the W\sub{S and W\sub{S2} antisites, the defect states
exhibit giant splitting up to 296 meV when SOC is considered. Depending on the
relative position of the defect state with respect to the conduction band
minimum (CBM), the hybrid functional HSE will either increase the splitting by
up to 60 meV (far from CBM), or decrease the splitting by up to 57 meV (close
to CBM). Furthermore, we found that both the W\sub{S} and W\sub{S2} antisites
possess a magnetic moment of 2 $\mu_{B}$ localized at the antisite W atom and
the neighboring W atoms. All these findings provide new insights in the defect
behavior under SOC point to new possibilities for spintronics applications for
TMDs.


title: Winding angles of long lattice walks

abstract:
  We study the winding angles of random and self-avoiding walks on square and
cubic lattices with number of steps $N$ ranging up to $10^7$. We show that the
mean square winding angle $\langle\theta^2\rangle$ of random walks converges to
the theoretical form when $N\rightarrow\infty$. For self-avoiding walks on the
square lattice, we show that the ratio
$\langle\theta^4\rangle/\langle\theta^2\rangle^2$ converges slowly to the
Gaussian value 3. For self avoiding walks on the cubic lattice we find that the
ratio $\langle\theta^4\rangle/\langle\theta^2\rangle^2$ exhibits non-monotonic
dependence on $N$ and reaches a maximum of 3.73(1) for $N\approx10^4$. We show
that to a good approximation, the square winding angle of a self-avoiding walk
on the cubic lattice can be obtained from the summation of the square change in
the winding angles of $\ln N$ independent segments of the walk, where the
$i$-th segment contains $2^i$ steps. We find that the square winding angle of
the $i$-th segment increases approximately as $i^{0.5}$, which leads to an
increase of the total square winding angle proportional to $(\ln N)^{1.5}$.


title:
Statistical analysis of beta decays and the effective value of g_A in
  the proton-neutron quasiparticle random-phase approximation framework

abstract:
  We perform a Markov Chain Monte Carlo (MCMC) statistical analysis of a number
of measured ground-state-to-ground-state single $\beta^+$/electron-capture and
$\beta^-$ decays in the nuclear mass range A = 62 - 142. The corresponding
experimental comparative half-lives (log ft values) are compared with the
theoretical ones obtained by the use of the proton-neutron quasiparticle
random-phase approximation (pnQRPA) with G-matrix based effective interactions.
The MCMC analysis is performed separately for 47 isobaric triplets and 28 more
extended isobaric chains of nuclei to extract values and uncertainties for the
effective axial-vector coupling constant g_A in nuclear-structure calculations
performed in the pnQRPA framework. As far as available, measured half-lives for
two-neutrino double beta-minus decays occurring in the studied isobaric chains
are analyzed as well.


title: Apparent Age Estimation Using Ensemble of Deep Learning Models

abstract:
  In this paper, we address the problem of apparent age estimation. Different
from estimating the real age of individuals, in which each face image has a
single age label, in this problem, face images have multiple age labels,
corresponding to the ages perceived by the annotators, when they look at these
images. This provides an intriguing computer vision problem, since in generic
image or object classification tasks, it is typical to have a single ground
truth label per class. To account for multiple labels per image, instead of
using average age of the annotated face image as the class label, we have
grouped the face images that are within a specified age range. Using these age
groups and their age-shifted groupings, we have trained an ensemble of deep
learning models. Before feeding an input face image to a deep learning model,
five facial landmark points are detected and used for 2-D alignment. We have
employed and fine tuned convolutional neural networks (CNNs) that are based on
VGG-16 [24] architecture and pretrained on the IMDB-WIKI dataset [22]. The
outputs of these deep learning models are then combined to produce the final
estimation. Proposed method achieves 0.3668 error in the final ChaLearn LAP
2016 challenge test set [5].


title:
First integrals of Generalized Darboux-Halphen systems and Membrane
  Paradigm

abstract:
  The Darboux-Halphen system of equations have common or individual additive
terms depending on the matrices defining Yang-Mills gauge potential fields. Tod
(Phys. Lett. A 190 (1994) 221-224), described a conserved quantity for the
classical systems with no additive terms. We show that the conserved quantity
apply even for the generalized cases with common additive terms. A theory has
been presented, with an example, of how to formulate conserved quantities for
equation with individual additive terms. We also briefly shed some light on the
issues of surface motions of fluids in conncetion to Nahm`s equation and the
self-duality and integrability of membrane dynamics.


title:
What Massive Open Online Course (MOOC) Stakeholders Can Learn From
  Learning Analytics?

abstract:
  Massive Open Online Courses (MOOCs) are the road that led to a revolution and
a new era of learning environments. Educational institutions have come under
pressure to adopt new models that assure openness in their education
distribution. Nonetheless, there is still altercation about the pedagogical
approach and the absolute information delivery to the students. On the other
side with the use of Learning Analytics, powerful tools become available which
mainly aim to enhance learning and improve learners performance. In this
chapter, the development phases of a Learning Analytics prototype and the
experiment of integrating it into a MOOC platform, called iMooX will be
presented. This chapter explores how MOOC Stakeholders may benefit from
Learning Analytics as well as it reports an exploratory analysis of some of the
offered courses and demonstrate use cases as a typical evaluation of this
prototype in order to discover hidden patterns, overture future proper
decisions and to optimize learning with applicable and convenient
interventions.


title: Metallic, Magnetic and Molecular Nanocontacts

abstract:
  Scanning tunnelling microscopy and break-junction experiments realize
metallic and molecular nanocontacts that act as ideal one-dimensional channels
between macroscopic electrodes. Emergent nanoscale phenomena typical of these
systems encompass structural, mechanical, electronic, transport, and magnetic
properties. This Review focuses on the theoretical explanation of some of these
properties obtained with the help of first-principles methods. By tracing
parallel theoretical and experimental developments from the discovery of
nanowire formation and conductance quantization in gold nanowires to recent
observations of emergent magnetism and Kondo correlations, we exemplify the
main concepts and ingredients needed to bring together ab initio calculations
and physical observations. It can be anticipated that diode, sensor, spin-valve
and spin-filter functionalities relevant for spintronics and molecular
electronics applications will benefit from the physical understanding thus
obtained.


title:
On the Fourier Transform of Bessel Functions over Complex Numbers---I:
  the Spherical Case

abstract:
  In this note, we shall prove a formula for the Fourier transform of spherical
Bessel functions over complex numbers, viewed as the complex analogue of the
classical formulae of Hardy and Weber. The formula has strong representation
theoretic motivations in the Waldspurger correspondence over the complex field.


title: Existence and properties of ancient solutions of the Yamabe flow

abstract:
  Let $n\ge 3$ and $m=\frac{n-2}{n+2}$. We construct $5$-parameters,
$4$-parameters, $3$-parameters ancient solutions of the equation
$v_t=(v^m)_{xx}+v-v^m$, $v>0$, in $\mathbb{R}\times (-\infty,T)$ for some
$T\in\mathbb{R}$. This equation arises in the study of Yamabe flow. We obtain
various properties of the ancient solutions of this equation including exact
decay rate of ancient solutions as $|x|\to\infty$. We also prove that both the
$3$-parameters ancient solution and the $4$-parameters ancient solution are
singular limit solution of the $5$-parameters ancient solutions.


title:
Comment on measurement of the rotaion frequency and the magnetic field
  at the freezeout of heavy ion collisions

abstract:
  We suggest other decays which can more effectively identify the effect of
rotational motion and presence of the magnetic field, compared to
$\Lambda,\bar\Lambda$ hyperon decayse used so far.


title:
Exploring the properties of lead-free hybrid double perovskites using a
  combined computational-experimental approach

abstract:
  Density functional theory screening of the hybrid double perovskites
(MA)2BIBiX6 (BI=K,Cu,Ag,Tl; X=Cl,Br,I) shows that systems with band gaps
similar to those of the MAPbX3 lead compounds can be expected for BI=Cu,Ag,Tl.
Motivated by these findings, (MA)2TlBiBr6, isoelectronic with MAPbBr3, was
synthesised and found to have a band gap of ~2.0eV.


title:
Astrocytic Ion Dynamics: Implications for Potassium Buffering and Liquid
  Flow

abstract:
  We review modeling of astrocyte ion dynamics with a specific focus on the
implications of so-called spatial potassium buffering, where excess potassium
in the extracellular space (ECS) is transported away to prevent pathological
neural spiking. The recently introduced Kirchoff-Nernst-Planck (KNP) scheme for
modeling ion dynamics in astrocytes (and brain tissue in general) is outlined
and used to study such spatial buffering. We next describe how the ion dynamics
of astrocytes may regulate microscopic liquid flow by osmotic effects and how
such microscopic flow can be linked to whole-brain macroscopic flow. We thus
include the key elements in a putative multiscale theory with astrocytes
linking neural activity on a microscopic scale to macroscopic fluid flow.


title:
Dynamics of Bohr almost periodic motions of topological abelian
  semigroups

abstract:
  We study the topological and ergodic dynamics of Bohr almost periodic motions
of a topological abelian semigroup acting continuously on a compact metric
space.


title:
On the computation of lambda-contractive sets for linear constrained
  systems

abstract:
  We present two theoretical results on the computation of lambda-contractive
sets for linear systems with state and input constraints. First, we show that
it is possible to a priori compute a number of iterations that is sufficient to
approximate the maximal lambda-contractive set with a given precision using
1-step sets. Second, based on the former result, we provide a procedure for
choosing lambda so that the associated maximal lambda-contractive set is
guaranteed to approximate the maximal controlled invariant set with a given
accuracy.


title:
Wake turbulence observed behind an upstream "extra" particle in a
  complex (dusty) plasma

abstract:
  An interaction of upstream extra particles with a monolayer highly-ordered
complex plasma is studied. A principally new abnormal turbulent wake formed
behind the supersonic upstream particle is discovered. An anomalous type of the
turbulence wake clearly manifests in anomalously low thermal diffusivity and
two orders of magnitude larger particle kinetic temperature compared to that of
the 'normal' wake (Mach cone) observed by Du et al [Europhys. Lett. 99, 55001
(2012)].


title: Invariants for minimal conformal supergravity in six dimensions

abstract:
  We develop a new off-shell formulation for six-dimensional conformal
supergravity obtained by gauging the 6D ${\cal N} = (1, 0)$ superconformal
algebra in superspace. This formulation is employed to construct two invariants
for 6D ${\cal N} = (1, 0)$ conformal supergravity, which contain $C^3$ and
$C\Box C$ terms at the component level. Using a conformal supercurrent
analysis, we prove that these exhaust all such invariants in minimal conformal
supergravity. Finally, we show how to construct the supersymmetric $F \Box F$
invariant in curved superspace.


title: Towards the Fradkin-Vasiliev formalism in three dimensions

abstract:
  In this paper we show that using frame-like gauge invariant formulation for
the massive bosonic and fermionic fields in three dimensions the free
Lagrangians for these fields can be rewritten in the explicitly gauge invariant
form in terms of the appropriately chosen set of gauge invariant objects. This
in turn opens the possibility to apply the Fradkin-Vasiliev formalism to the
investigation of possible interactions of such fields.


title: Collapse and Revival for a slightly anharmonic Hamiltonian

abstract:
  The effect of quantum collapse and revival is a fascinating interference
phenomenon. In this paper the phenomenon is demonstrated analytically and
numerically for a simple system, a slightly anharmonic Hamiltonian. The initial
wave-function is a displaced ground state of a harmonic oscillator. Possible
experimental realizations for cold atoms are discussed in detail.


title:
On the genericity of the shadowing property for conservative
  homeomorphisms

abstract:
  We prove the genericity of the shadowing and periodic shadowing properties
for both conservative and dissipative homeomorphisms on a compact connected
manifold. Our proof is valid for topological manifolds and still holds in the
dissipative case. As a consequence of this result, we establish the genericity
of the specification property, the average shadowing property and the
asymptotic average shadowing property in the conservative case.


title:
Very Large Telescope deep echelle spectroscopy of Galactic planetary
  nebulae NGC 6153, M 1-42 and Hf 2-2

abstract:
  We present deep spectroscopy of three Galactic planetary nebulae (PNe) with
large abundance discrepancy factors (ADFs): NGC6153, M1-42 and Hf2-2. The
spectra were obtained with VLT/UVES and cover the whole optical range
(3040-11,000 A) with a spectral resolution of ~20,000. For all three PNe,
several hundred emission lines were detected and identified, with more than 70
per cent of them as permitted lines. Most of these permitted lines are excited
by recombination. Numerous weak optical recombination lines (ORLs) of O II, C
II, N II and Ne II were detected in the spectra and accurate fluxes measured.
Line flux tables were compiled and ready for use by the community of nebular
astrophysics. These ORLs were critically analyzed using the effective
recombination coefficients recently calculated for the optical recombination
spectrum of N II and O II under the physical conditions of photoionized gaseous
nebulae. Plasma diagnostics based on the heavy element ORLs were carried out
using the new atomic data. Elemental abundances derived from the ORLs were
systematically higher than those derived from the collisionally excited lines
(CELs) by a factor of ~10, 22 and 80 for NGC6153, M1-42 and Hf2-2,
respectively. The electron temperatures derived from the heavy element ORLs are
systematically lower than those derived from the CELs. These ORL versus CEL
abundance and temperature discrepancies, previously observed in the three PNe
through deep spectroscopy with medium to low spectral resolution, are thus
confirmed by our analysis of the deep echelle spectra using the new atomic
data.


title:
A counterexample to the reconstruction conjecture for locally finite
  trees

abstract:
  Two graphs $G$ and $H$ are hypomorphic if there exists a bijection $\varphi
\colon V(G) \rightarrow V(H)$ such that $G - v \cong H - \varphi(v)$ for each
$v \in V(G)$. A graph $G$ is reconstructible if $H \cong G$ for all $H$
hypomorphic to $G$.
  It is well known that not all infinite graphs are reconstructible. However,
the Harary-Schwenk-Scott Conjecture from 1972 suggests that all locally finite
trees are reconstructible.
  In this paper, we construct a counterexample to the Harary-Schwenk-Scott
Conjecture. Our example also answers four other questions of Nash-Williams,
Halin and Andreae on the reconstruction of infinite graphs.


title: Conditional Extreme Value Models: Fallacies and Pitfalls

abstract:
  Conditional extreme value models have been introduced by Heffernan and
Resnick (2007) to describe the asymptotic behavior of a random vector as one
specific component becomes extreme. Obviously, this class of models is related
to classical multivariate extreme value theory which describes the behavior of
a random vector as its norm (and therefore at least one of its components)
becomes extreme. However, it turns out that this relationship is rather subtle
and sometimes contrary to intuition. We clarify the differences between the two
approaches with the help of several illuminative (counter)examples.
Furthermore, we discuss marginal standardization, which is a useful tool in
classical multivariate extreme value theory but, as we point out, much less
straightforward and sometimes even obscuring in conditional extreme value
models. Finally, we indicate how, in some situations, a more comprehensive
characterization of the asymptotic behavior can be obtained if the conditions
of conditional extreme value models are relaxed so that the limit is no longer
unique.


title:
Elliptic extensions of the alpha-parameter model and the rook model for
  matchings

abstract:
  We construct elliptic extensions of the alpha-parameter rook model introduced
by Goldman and Haglund and of the rook model for matchings of Haglund and
Remmel. In particular, we extend the product formulas of these models to the
elliptic setting. By specializing the parameter alpha in our elliptic extension
of the alpha-parameter model and the shape of the Ferrers board in different
ways, we obtain elliptic analogues of the Stirling numbers of the first kind
and of the Abel polynomials, and obtain an a,q-analogue of the matching
numbers. We further generalize the rook theory model for matchings by
introducing l-lazy graphs which correspond to l-shifted boards, where l is a
finite vector of positive integers. The corresponding elliptic product formula
generalizes Haglund and Remmel's product formula for matchings already in the
non-elliptic basic case.


title: Engineering and Science Highlights of the KAT-7 Radio Telescope

abstract:
  The construction of the KAT-7 array in the Karoo region of the Northern Cape
in South Africa was intended primarily as an engineering prototype for
technologies and techniques applicable to the MeerKAT telescope. This paper
looks at the main engineering and scien- tific highlights from this effort, and
discusses their applicability to both MeerKAT and other next-generation radio
telescopes. In particular we found that the composite dish surface works well,
but it becomes complicated to fabricate for a dish lacking circular symmetry;
the Stir- ling cycle cryogenic system with ion pump to achieve vacuum works but
demands much higher maintenance than an equivalent Gifford-McMahon cycle
system; the ROACH (Recon- figurable Open Architecture Computing Hardware)-based
correlator with SPEAD (Stream- ing Protocol for Exchanging Astronomical Data)
protocol data transfer works very well and KATCP (Karoo Array Telescope Control
Protocol) control protocol has proven very flexible and convenient. KAT-7 has
also been used for scientific observations where it has a niche in mapping low
surface-brightness continuum sources, some extended HI halos and OH masers in
star-forming regions. It can also be used to monitor continuum source
variability, observe pulsars, and make VLBI observations


title: The self-coherent camera as a focal plane fine phasing sensor

abstract:
  Direct imaging of Earth-like exoplanets requires high contrast imaging
capability and high angular resolution. Primary mirror segmentation is a key
technological solution for large-aperture telescopes because it opens the path
toward significantly increasing the angular resolution. The segments are kept
aligned by an active optics system that must reduce segment misalignments below
tens of nm RMS to achieve the high optical quality required for astronomical
science programs. The development of cophasing techniques is mandatory for the
next generation of space- and ground-based segmented telescopes, which both
share the need for increasing spatial resolution. We propose a new focal plane
cophasing sensor that exploits the scientific image of a coronagraphic
instrument to retrieve simultaneously piston and tip-tilt misalignments. The
self-coherent camera phasing sensor (SCC-PS) adequately combines the SCC
properties to segmented telescope architectures with adapted segment
misalignment estimators and image processing. An overview of the system
architecture, and a thorough performance and sensitivity analysis, including a
closed-loop efficiency, are presented by means of numerical simulations. The
SCC-PS estimates simultaneously piston and tip-tilt misalignments and corrects
them in closed-loop operation. The SCC-PS does not require any a priori on the
signal at the segment boundaries or any dedicated optical path. It has a
moderate sensitivity to misalignments, virtually none to pupil shear, and is
insensitive to segment gaps and edge effects. Primary mirror phasing can be
achieved with bright natural guide star. The SCC-PS is a noninvasive concept
and an efficient phasing sensor from the image domain. It is an attractive
candidate for segment cophasing at the instrument level or alternatively at the
telescope level, as usually envisioned in current space- and ground-based
observatories.


title: Bayesian Estimation and Comparison of Moment Condition Models

abstract:
  In this paper we consider the problem of inference in statistical models
characterized by moment restrictions by casting the problem within the
Exponentially Tilted Empirical Likelihood (ETEL) framework. Because the ETEL
function has a well defined probabilistic interpretation and plays the role of
a nonparametric likelihood, a fully Bayesian semiparametric framework can be
developed. We establish a number of powerful results surrounding the Bayesian
ETEL framework in such models. One major concern driving our work is the
possibility of misspecification. To accommodate this possibility, we show how
the moment conditions can be reexpressed in terms of additional nuisance
parameters and that, even under misspecification, the Bayesian ETEL posterior
distribution satisfies a Bernstein-von Mises result. A second key contribution
of the paper is the development of a framework based on marginal likelihoods
and Bayes factors to compare models defined by different moment conditions.
Computation of the marginal likelihoods is by the method of Chib (1995) as
extended to Metropolis-Hastings samplers in Chib and Jeliazkov (2001). We
establish the model selection consistency of the marginal likelihood and show
that the marginal likelihood favors the model with the minimum number of
parameters and the maximum number of valid moment restrictions. When the models
are misspecified, the marginal likelihood model selection procedure selects the
model that is closer to the (unknown) true data generating process in terms of
the Kullback-Leibler divergence. The ideas and results in this paper provide a
further broadening of the theoretical underpinning and value of the Bayesian
ETEL framework with likely far-reaching practical consequences. The discussion
is illuminated through several examples.


title:
Strong gravitational field time delay for photons coupled to Weyl tensor
  in a Schwarzschild black hole

abstract:
  We analyse strong gravitational field time delay for photons coupled to the
Weyl tensor in a Schwarzschild black hole. By making use of the method of
strong deflection limit, we find that these time delays between relativistic
images are significantly affected by polarization directions of such a
coupling. A practical problem about determination of the polarization direction
by observations is investigated. It is found that if the first and second
relativistic images can be resolved, the measurement of time delay can more
effectively improve detectability of the polarization direction.


title:
Experimentally derived axial stress- strain relations for
  two-dimensional materials such as monolayer graphene

abstract:
  A methodology is presented here for deriving true experimental axial
stress-strain curves in both tension and compression for monolayer graphene
through the shift of the 2D Raman peak that is present in all graphitic
materials. The principle behind this approach is the observation that the shift
of the 2D wavenumber as a function of strain for different types of PAN based
fibres is a linear function of their Young's moduli and, hence, the
corresponding value of the shift of the 2D Raman peak over axial stress is, in
fact, a constant. By moving across the length scales we show that this value is
also valid at the nanoscale as it corresponds to the in plane breathing mode of
graphene that is present in both PAN based fibres and monolayer graphene.
Hence, the values of the shift of the 2D Raman peak can be easily converted to
values of stress in the linear elastic region without the aid of modelling or
the need to resort to cumbersome experimental procedures for obtaining the
axial force transmitted to the material and the cross sectional area of the two
dimensional membrane.


title:
Internal X-ray plateau in short GRBs: Signature of supramassive
  fast-rotating quark stars?

abstract:
  A supramassive, strongly-magnetized millisecond neutron star (NS) has been
proposed to be the candidate central engine of at least some short gamma-ray
bursts (SGRBs), based on the "internal plateau" commonly observed in the early
X-ray afterglow. While a previous analysis shows a qualitative consistency
between this suggestion and the Swift SGRB data, the distribution of observed
break time $t_b$ is much narrower than the distribution of the collapse time of
supramassive NSs for the several NS equations-of-state (EoSs) investigated. In
this paper, we study four recently-constructed "unified" NS EoSs, as well as
three developed strange quark star (QS) EoSs within the new confinement
density-dependent mass model. All the EoSs chosen here satisfy the recent
observational constraints of the two massive pulsars whose masses are precisely
measured. We construct sequences of rigidly rotating NS/QS configurations with
increasing spinning frequency $f$, from non-rotating ($f = 0$) to the Keplerian
frequency ($f = f_{\rm K}$), and provide convenient analytical parametrizations
of the results. Assuming that the cosmological NS-NS merger systems have the
same mass distribution as the Galactic NS-NS systems, we demonstrate that all
except the BCPM NS EoS can reproduce the current $22\%$ supramassive NS/QS
fraction constraint as derived from the SGRB data. We simultaneously simulate
the observed quantities (the break time $t_b$, the break time luminosity $L_b$
and the total energy in the electromagnetic channel $E_{\rm total}$) of SGRBs,
and find that while equally well reproducing other observational constraints,
QS EoSs predict a much narrower $t_b$ distribution than that of the NS EoSs,
better matching the data. We therefore suggest that the post-merger product of
NS-NS mergers might be fast-rotating supramassive QSs rather than NSs.


title:
A quantum gravity tensor equation formally integrating general
  relativity with quantum mechanics

abstract:
  Extending black-hole entropy to ordinary objects, we propose kinetic entropy
tensor, based on which a quantum gravity tensor equation is established. Our
investigation results indicate that if N=1, the quantum gravity tensor equation
returns to Schrodinger integral equation. When N becomes sufficiently large, it
is equivalent to Einstein field equation. This illustrates formal unification
and intrinsic compatibility of general relativity with quantum mechanics. The
quantum gravity equation may be utilized to deduce general relativity, special
relativity, Newtonian mechanics and quantum mechanics, which has paved the way
for unification of theoretical physics.


title: Experimental Studies of Top Quark Production

abstract:
  In this review article three promising aspects of top quark production are
discussed: the charge asymmetry in top quark pair production, the search for
resonant top quark pair production, and electroweak single top quark
production. First, an overview of the theoretical predictions of top quark pair
and single top quark production is given. Then, for each topic the general
analysis strategy and improvements are exemplarily explained using selected
analyses and are put into the context of the global status at the beginning of
LHC Run II and progress in this field. The example analyses discussed in more
detail in this article use data from the LHC experiment CMS and for the charge
asymmetry studies also data from the Tevatron experiment CDF have been used.


title: Uncertainty Relations in the Framework of Equalities

abstract:
  We study the Schr\"odinger-Robertson uncertainty relations in an algebraic
framework. Moreover, we show that some specific commutation relations imply new
equalities, which are regarded as equality versions of well-known inequalities
such as Hardy's inequality.


title:
Nanomaterial datasets to advance tomography in scanning transmission
  electron microscopy

abstract:
  Electron tomography in materials science has flourished with the demand to
characterize nanoscale materials in three dimensions (3D). Access to
experimental data is vital for developing and validating reconstruction methods
that improve resolution and reduce radiation dose requirements. This work
presents five high-quality scanning transmission electron microscope (STEM)
tomography datasets in order to address the critical need for open access data
in this field. The datasets represent the current limits of experimental
technique, are of high quality, and contain materials with structural
complexity. Included are tomographic series of a hyperbranched Co2P
nanocrystal, platinum nanoparticles on a carbon nanofibre imaged over the
complete 180{\deg} tilt range, a platinum nanoparticle and a tungsten needle
both imaged at atomic resolution by equal slope tomography, and a through-focal
tilt series of PtCu nanoparticles. A volumetric reconstruction from every
dataset is provided for comparison and development of post-processing and
visualization techniques. Researchers interested in creating novel data
processing and reconstruction algorithms will now have access to state of the
art experimental test data.


title: Finite-time singularity of the stochastic harmonic map flow

abstract:
  We investigate the influence of an infinite dimensional Gaussian noise on the
bubbling phenomenon for the stochastic harmonic map flow $u(t,\cdot
):\mathbb{D}^2\to\mathbb{S}^2$, from the two-dimensional unit disc onto the
sphere. The diffusion term is assumed to have range one pointwisely in the
tangent space $T_{u(t,x)}\mathbb{S}^2$, so that the noise preserves the
1-corotational symmetry of solutions. Under the assumption that its
space-correlation is of trace class (in some appropriate hilbert space), we
prove that the noise generates blow-up with positive probability. This scenario
happens no matter how we choose the initial data, provided it fulfills the
latter symmetry assumption.


title: Bivariate Cheney-Sharma operators on simplex

abstract:
  In this paper, we consider bivariate Cheney-Sharma operators which are not
the tensor product construction. Precisely, we show that these operators
preserve Lipschitz condition of a given Lipschitz continuous function f and
also the properties of the modulus of continuity function when f is a modulus
of continuity function.


title: A Proof Strategy Language and Proof Script Generation for Isabelle/HOL

abstract:
  We introduce a language, PSL, designed to capture high level proof strategies
in Isabelle/HOL. Given a strategy and a proof obligation, PSL's runtime system
generates and combines various tactics to explore a large search space with low
memory usage. Upon success, PSL generates an efficient proof script, which
bypasses a large part of the proof search. We also present PSL's monadic
interpreter to show that the underlying idea of PSL is transferable to other
ITPs.


title:
Analysis of buffering effects on hard real-time priority-preemptive
  wormhole networks

abstract:
  There are several approaches to analyse the worst-case response times of
sporadic packets transmitted over priority-preemptive wormhole networks. In
this paper, we provide an overview of the different approaches, discuss their
strengths and weaknesses, and propose an approach that captures all effects
considered by previous approaches while providing tight yet safe upper bounds
for packet response times. We specifically address the problems created by
buffering and backpressure in wormhole networks, which amplifies the problem of
indirect interference in a way that has not been considered by the early
analysis approaches. Didactic examples and large-scale experiments with
synthetically generated packet flow sets provide evidence of the strength of
the proposed approach.


title: Finite dimensional groups of local diffeomorphisms

abstract:
  We are interested in classifying groups of local biholomorphisms (or even
formal diffeomorphisms) that can be endowed with a canonical structure of
algebraic group up to add extra formal diffeomorphisms. We show that this is
the case for virtually polycyclic subgroups and in particular finitely
generated virtually nilpotent groups of local biholomorphisms. We provide
several methods to identify this property and build examples.
  As a consequence we generalize results of Arnold, Seigal-Yakovenko and
Binyamini on uniform estimates of local intersection multiplicities to bigger
classes of groups, including for example virtually polycyclic groups.


title:
Pseudo-time-reversal symmetry and topological edge states in
  two-dimensional acoustic crystals

abstract:
  We propose a simple two-dimensional acoustic crystal to realize topologically
protected edge states for acoustic waves. The acoustic crystal is composed of a
triangular array of core-shell cylinders embedded in a water host. By utilizing
the point group symmetry of two doubly degenerate eigenstates at the \Gamma
point, we can construct pseudo-time-reversal symmetry as well as pseudo-spin
states in this classical system. We develop an effective Hamiltonian model for
the associated dispersion bands around the Brillouin zone center, and find the
inherent link between the band inversion and the topological phase transition.
With numerical simulations, we unambiguously demonstrate the unidirectional
propagation of acoustic edge states along the interface between a topologically
nontrivial acoustic crystal and a trivial one, and the robustness of the edge
states against defects with sharp bends. Our work provides a new design
paradigm for manipulating and transporting acoustic waves in a topologically
protected manner. Technological applications and devices based on our design
are expected in various frequency ranges of interest, spanning from infrasound
to ultrasound.


title:
An Integrability Primer for the Gauge-Gravity Correspondence: an
  Introduction

abstract:
  We introduce a series of articles reviewing various aspects of integrable
models relevant to the AdS/CFT correspondence. Topics covered in these reviews
are: classical integrability, Yangian symmetry, factorized scattering, the
Bethe ansatz, the thermodynamic Bethe ansatz, and integrable structures in
(conformal) quantum field theory. In the present article we highlight how these
concepts have found application in AdS/CFT, and provide a brief overview of the
material contained in this series.

categories: hep-th cond-mat.str-el math-ph math.MP nlin.SI


title: Lectures on Classical Integrability

abstract:
  We review some essential aspects of classically integrable systems. The
detailed outline of the lectures consists of: 1. Introduction and motivation,
with historical remarks; 2. Liouville theorem and action-angle variables, with
examples (harmonic oscillator, Kepler problem); 3. Algebraic tools: Lax pairs,
monodromy and transfer matrices, classical r-matrices and exchange relations,
non-ultralocal Poisson brackets, with examples (non-linear Schroedinger model,
principal chiral field); 4. Features of classical r-matrices: Belavin-Drinfeld
theorems, analyticity properties, and lift of the classical structures to
quantum groups; 5. Classical inverse scattering method to solve integrable
differential equations: soliton solutions, spectral properties and the
Gel'fand-Levitan-Marchenko equation, with examples (KdV equation, Sine-Gordon
model). Prepared for the Durham Young Researchers Integrability School,
organised by the GATIS network. This is part of a collection of lecture notes.


title: Lectures on Yangian Symmetry

abstract:
  In these introductory lectures we discuss the topic of Yangian symmetry from
various perspectives. Forming the classical counterpart of the Yangian and an
extension of ordinary Noether symmetries, first the concept of nonlocal charges
in classical, two-dimensional field theory is reviewed. We then define the
Yangian algebra following Drinfeld's original motivation to construct solutions
to the quantum Yang-Baxter equation. Different realizations of the Yangian and
its mathematical role as a Hopf algebra and quantum group are discussed. We
demonstrate how the Yangian algebra is implemented in quantum, two-dimensional
field theories and how its generators are renormalized. Implications of Yangian
symmetry on the two-dimensional scattering matrix are investigated. We
furthermore consider the important case of discrete Yangian symmetry realized
on integrable spin chains. Finally we give a brief introduction to Yangian
symmetry in planar, four-dimensional super Yang-Mills theory and indicate its
impact on the dilatation operator and tree-level scattering amplitudes. These
lectures are illustrated by several examples, in particular the two-dimensional
chiral Gross-Neveu model, the Heisenberg spin chain and N=4 superconformal
Yang-Mills theory in four dimensions. This review arose from lectures given at
the Young Researchers Integrability School at Durham University (UK).


title: Maximum Power Output of Quantum Heat Engine with Energy Bath

abstract:
  The difference between quantum isoenergetic process and quantum isothermal
process comes from the violation of the law of equipartition of energy in the
quantum regime. To reveal an important physical meaning of this fact, here we
study a special type of quantum heat engine consisting of three processes:
isoenergetic, isothermal and adiabatic processes. Therefore, this engine works
between the energy and heat baths. Combining two engines of this kind, it is
possible to realize the quantum Carnot engine. Furthermore, considering finite
velocity of change of the potential shape, here an infinite square well with
moving walls, the power output of the engine is discussed. It is found that the
efficiency and power output are both closely dependent on the initial and final
states of the quantum isothermal process. The performance of the engine cycle
is shown to be optimized by control of the occupation probability of the ground
state, which is determined by the temperature and the potential width. The
relation between the efficiency and power output is also discussed.