title:
Emergent Phenomena Induced by Spin-Orbit Coupling at Surfaces and
  Interfaces

abstract:
  Spin-orbit coupling (SOC) describes the relativistic interaction between the
spin and momentum degrees of freedom of electrons, and is central to the rich
phenomena observed in condensed matter systems. In recent years, new phases of
matter have emerged from the interplay between SOC and low dimensionality, such
as chiral spin textures and spin-polarized surface and interface states. These
low-dimensional SOC-based realizations are typically robust and can be
exploited at room temperature. Here we discuss SOC as a means of producing such
fundamentally new physical phenomena in thin films and heterostructures. We put
into context the technological promise of these material classes for developing
spin-based device applications at room temperature.


title:
Gradient flow for the Boltzmann entropy and Cheeger's energy on
  time-dependent metric measure spaces

abstract:
  We introduce notions of dynamic gradient flows on time-dependent metric
spaces as well as on time-dependent Hilbert spaces. We prove existence of
solutions for a class of time dependent energy functionals in both settings. In
particular we are interested in the case when the underlying spaces are metric
measure spaces and the energy functional is given by the time-dependent
Boltzmann entropy or the time-dependent Cheeger's energy. Under the assumption
that each static space satisfies a lower Ricci curvature bound, we prove
existence and uniqueness of the entropy gradient flow and we identify it with
the forward adjoint heat flow introduced in "Super-Ricci Flows for Metric
Measure Spaces" by Kopfer/Sturm. We identify the gradient flow for the
time-dependent Cheeger's energy with the heat flow introduced by Kopfer/Sturm.


title:
Ultra-compact injection terahertz laser using the resonant inter-layer
  radiative transitions in multi-graphene-layer structure

abstract:
  The optimization of laser resonators represents a crucial issue for the
design of terahertz semiconductor lasers with high gain and low absorption
loss. In this paper, we put forward and optimize the surface plasmonic metal
waveguide geometry for the recently proposed terahertz injection laser based on
resonant radiative transitions between tunnel-coupled grapheme layers. We find
an optimal number of active graphene layer pairs corresponding to the maximum
net modal gain. The maximum gain increases with frequency and can be as large
as ~ 500 cm-1 at 8 THz, while the threshold length of laser resonator can be as
small as ~ 50 mkm. Our findings substantiate the possibility of ultra-compact
voltage-tunable graphene-based lasers operating at room temperature.


title:
Understanding Audio Pattern Using Convolutional Neural Network From Raw
  Waveforms

abstract:
  One key step in audio signal processing is to transform the raw signal into
representations that are efficient for encoding the original information.
Traditionally, people transform the audio into spectral representations, as a
function of frequency, amplitude and phase transformation. In this work, we
take a purely data-driven approach to understand the temporal dynamics of audio
at the raw signal level. We maximize the information extracted from the raw
signal through a deep convolutional neural network (CNN) model. Our CNN model
is trained on the urbansound8k dataset. We discover that salient audio patterns
embedded in the raw waveforms can be efficiently extracted through a
combination of nonlinear filters learned by the CNN model.


title: On the real roots of $\sigma$-Polynomials

abstract:
  The $\sigma$-polynomial is given by $\sigma(G,x) = \sum_{i=\chi(G)}^{n}
a_{i}(G)\, x^{i}$, where $a_{i}(G)$ is the number of partitions of the vertices
of $G$ into $i$ nonempty independent sets. These polynomials are closely
related to chromatic polynomials, as the chromatic polynomial of $G$ is given
by $\sum_{i=\chi(G)}^{n} a_{i}(G)\, x(x-1) \cdots (x-(i-1))$. It is known that
the closure of the real roots of chromatic polynomials is precisely $\{0,~1\}
\bigcup [32/27,\infty)$, with $(-\infty,0)$, $(0,1)$ and $(1,32/27)$ being
maximal zero-free intervals for roots of chromatic polynomials. We ask here
whether such maximal zero-free intervals exist for $\sigma$-polynomials, and
show that the only such interval is $[0,\infty)$ -- that is, the closure of the
real roots of $\sigma$-polynomials is $(-\infty,0]$.


title: Learning Filter Banks Using Deep Learning For Acoustic Signals

abstract:
  Designing appropriate features for acoustic event recognition tasks is an
active field of research. Expressive features should both improve the
performance of the tasks and also be interpret-able. Currently, heuristically
designed features based on the domain knowledge requires tremendous effort in
hand-crafting, while features extracted through deep network are difficult for
human to interpret. In this work, we explore the experience guided learning
method for designing acoustic features. This is a novel hybrid approach
combining both domain knowledge and purely data driven feature designing. Based
on the procedure of log Mel-filter banks, we design a filter bank learning
layer. We concatenate this layer with a convolutional neural network (CNN)
model. After training the network, the weight of the filter bank learning layer
is extracted to facilitate the design of acoustic features. We smooth the
trained weight of the learning layer and re-initialize it in filter bank
learning layer as audio feature extractor. For the environmental sound
recognition task based on the Urban- sound8K dataset, the experience guided
learning leads to a 2% accuracy improvement compared with the fixed feature
extractors (the log Mel-filter bank). The shape of the new filter banks are
visualized and explained to prove the effectiveness of the feature design
process.


title:
The Tunka-Rex Experiment for the Detection of the Air-Shower Radio
  Emission (ARENA 2014)

abstract:
  The Tunka-Rex experiment (Tunka Radio Extension) has been deployed in 2012 at
the Tunka Valley (Republic of Buryatia, Russia). Its purpose is to investigate
methods for the energy spectrum and the mass composition of high-energy cosmic
rays based on the radio emission of air showers. Tunka-Rex is an array of 25
radio antennas distributed over an area of 3 km^2. The most important feature
of the Tunka-Rex is that the air-shower radio emission is measured in
coincidence with the Tunka-133 installation, which detects the Cherenkov
radiation generated by the same atmospheric showers. Joint measurements of the
radio emission and the Cherenkov light provide a unique opportunity for cross
calibration of both calorimetric detection methods. The main goal of Tunka-Rex
is to determine the precision for the reconstruction of air-shower parameters
using the radio detection technique. In this article we present the current
status of Tunka-Rex and first results, including reconstruction methods for
parameters of the primary cosmic rays.


title: Flexible Scheduling of Distributed Analytic Applications

abstract:
  This work addresses the problem of scheduling user-defined analytic
applications, which we define as high-level compositions of frameworks, their
components, and the logic necessary to carry out work. The key idea in our
application definition, is to distinguish classes of components, including
rigid and elastic types: the first being required for an application to make
progress, the latter contributing to reduced execution times. We show that the
problem of scheduling such applications poses new challenges, which existing
approaches address inefficiently.
  Thus, we present the design and evaluation of a novel, flexible heuristic to
schedule analytic applications, that aims at high system responsiveness, by
allocating resources efficiently. Our algorithm is evaluated using trace-driven
simulations, with large-scale real system traces: our flexible scheduler
outperforms a baseline approach across a variety of metrics, including
application turnaround times, and resource allocation efficiency.
  We also present the design and evaluation of a full-fledged system, which we
have called Zoe, that incorporates the ideas presented in this paper, and
report concrete improvements in terms of efficiency and performance, with
respect to prior generations of our system.


title: Optical Hall effect in strained graphene

abstract:
  When passing an optical medium in the presence of a magnetic field, the
polarization of light can be rotated either when reflected at the surface (Kerr
effect) or when transmitted through the material (Faraday rotation). This
phenomenon is a direct consequence of the optical Hall effect arising from the
light-charge carrier interaction in solid state systems subjected to an
external magnetic field, in analogy with the conventional Hall effect. The
optical Hall effect has been explored in many thin films and also more recently
in 2D layered materials. Here, an alternative approach based on strain
engineering is proposed to achieve an optical Hall conductivity in graphene
without magnetic field. Indeed, strain induces lattice symmetry breaking and
hence can result in a finite optical Hall conductivity. First-principles
calculations also predict this strain-induced optical Hall effect in other 2D
materials. Combining with the possibility of tuning the light energy and
polarization, the strain amplitude and direction, and the nature of the optical
medium, large ranges of positive and negative optical Hall conductivities are
predicted, thus opening the way to use these atomistic thin materials in novel
specific opto-electro-mechanical devices.


title:
Hadron tomography studies by generalized parton distributions and
  distribution amplitudes

abstract:
  We discuss hadron-tomography studies for the nucleon and exotic hadrons by
high-energy hadron reactions. First, the constituent-counting rule is explained
for determining internal quark configurations of exotic-hadron candidates by
scaling properties of high-energy exclusive cross sections. Next, possibilities
are discussed for investigating the generalized parton distributions (GPDs) of
the nucleon and exotic hadrons at J-PARC. In particular, we study hadronic $2
\to 3$ process $p+p \to N+\pi+B$, exclusive Drell-Yan process, and
exotic-hadron GPDs. For determining three-dimensional structure of unstable
exotic hadrons, we consider $s$-$t$ crossed quantities of the GPDs called
generalized distribution amplitudes (GDAs), which can be investigated at KEKB.
We explain possible studies of the GDAs by two-photon processes.


title: Three matching intersection property for matching covered graphs

abstract:
  In connection with Fulkerson's conjecture on cycle covers, Fan and Raspaud
proposed a weaker conjecture: For every bridgeless cubic graph $G$, there are
three perfect matchings $M_1$, $M_2$, and $M_3$ such that $M_1\cap M_2 \cap
M_3=\emptyset$. We call the property specified in this conjecture the three
matching intersection property (and 3PM property for short). We study this
property on matching covered graphs. The main results are a necessary and
sufficient condition and its applications to characterization of special
graphs, such as the Halin graphs and 4-regular graphs.


title:
Supercurrent generation by spin injection in an s-wave
  superconductor-Rashba metal bilayer

abstract:
  The spin-galvanic (inverse Edelstein) and inverse spin-Hall effects are
calculated for a hybrid system that combines thin superconductor and
Rashba-metal layers. These effects are produced by a nonequilibrium spin
polarization which is injected into the normal metal layer. This polarization
gives rise to an electric potential that relaxes within some characteristic
length, which is determined by Andreev reflection. Within this length the
dissipative electric current of quasiparticles in the normal layer converts
into the supercurrent. This process involves only subgap states and at low
temperature the inelastic electron-phonon interactions are not important. It is
discussed how such a hybrid system can be integrated into a SQUID where it
produces an effect similar to a magnetic flux.


title:
Toward realistic simulations of magneto-thermal winds from
  weakly-ionized protoplanetary disks

abstract:
  Protoplanetary disks (PPDs) accrete onto their central T Tauri star via
magnetic stresses. When the effect of ambipolar diffusion (AD) is included, and
in the presence of a vertical magnetic field, the disk remains laminar between
1-5 au, and a magnetocentrifugal disk wind forms that provides an important
mechanism for removing angular momentum. We present global MHD simulations of
PPDs that include Ohmic resistivity and AD, where the time-dependent gas-phase
electron and ion fractions are computed under FUV and X-ray ionization with a
simplified recombination chemistry. To investigate whether the mass loading of
the wind is potentially affected by the limited vertical extent of our existing
simulations, we attempt to develop a model of a realistic disk atmosphere. To
this end, by accounting for stellar irradiation and diffuse reprocessing of
radiation, we aim at improving our models towards more realistic thermodynamic
properties.


title:
Is a picture worth a thousand words? A Deep Multi-Modal Fusion
  Architecture for Product Classification in e-commerce

abstract:
  Classifying products into categories precisely and efficiently is a major
challenge in modern e-commerce. The high traffic of new products uploaded daily
and the dynamic nature of the categories raise the need for machine learning
models that can reduce the cost and time of human editors. In this paper, we
propose a decision level fusion approach for multi-modal product classification
using text and image inputs. We train input specific state-of-the-art deep
neural networks for each input source, show the potential of forging them
together into a multi-modal architecture and train a novel policy network that
learns to choose between them. Finally, we demonstrate that our multi-modal
network improves the top-1 accuracy % over both networks on a real-world
large-scale product classification dataset that we collected fromWalmart.com.
While we focus on image-text fusion that characterizes e-commerce domains, our
algorithms can be easily applied to other modalities such as audio, video,
physical sensors, etc.


title:
Stability of metallic edges and Fermi-level pinning in transition-metal
  dichalcogenide nanoribbons

abstract:
  Nanoribbons of MoS$_2$ present a unique electronic structure that consists of
a semiconducting bulk bounded by metallic edges; same holds for other
Transition-Metal Dichalcogenides (TMDs) (Mo-,W-,S$_{2}$,Se$_{2}$).
  We perform first-principles calculations for TMD nanoribbons with
reconstructed zig-zag metal terminated edges that contain chalcogen adatoms.
All nanorobbons have possitive edge energies when the chemical potential of
chalcogens is close to the energy of solids, and negative edge energies for
high chemical potential. The reconstruction with two chalcogen adatoms is
expected to be the most stable one. In all nanoribbons, a metallic phase is
found near their edges, with the Fermi level of this metallic phase being lower
than the Fermi level of the 2D material.


title: Restraints Permitting the Largest Number of Colourings

abstract:
  A \textit{restraint} $r$ on $G$ is a function which assigns each vertex $v$
of $G$ a finite set of forbidden colours $r(v)$. A proper colouring $c$ of $G$
is said to be \textit{permitted by the restraint r} if $c(v)\notin r(v)$ for
every vertex $v$ of $G$. A restraint $r$ on a graph $G$ with $n$ vertices is
called a \textit{$k$-restraint} if $|r(v)|=k$ and $r(v) \subseteq \{1,2,\dots
,kn\}$ for every vertex $v$ of $G$. In this article we discuss the following
problem: among all $k$-restraints $r$ on $G$, which restraints permit the
largest number of $x$-colourings for all large enough $x$? We determine such
extremal restraints for all bipartite graphs.


title: Flexible Metasurface Holograms

abstract:
  Metasurface holograms are typically fabricated on rigid substrates. Here we
experimentally demonstrate broadband, flexible, conformable, helicity
multiplexed metasurface holograms operating in the visible range, offering
increased potential for real life out-of-the-lab applications. Two
symmetrically distributed holographic images are obtained when circularly
polarized light impinges on the reflective-type metasurface positioned on non-
planar targets. The two off-axis images with high fidelity are interchangeable
by controlling the helicity of incident light. Our metasurface features the
arrangement of spatially varying gold nanorods on a flexible, conformable epoxy
resist membrane to realize a Pancharatnam- Berry phase profile. These results
pave the way to practical applications including polarization manipulation,
beam steering, novel lenses, and holographic displays.


title: The Spectral Ewald method for singly periodic domains

abstract:
  We present a fast and spectrally accurate method for efficient computation of
the three dimensional Coulomb potential with periodicity in one direction. The
algorithm is FFT-based and uses the so-called Ewald decomposition, which is
naturally most efficient for the triply periodic case. In this paper, we show
how to extend the triply periodic Spectral Ewald method to the singly periodic
case, such that the cost of computing the singly periodic potential is only
marginally larger than the cost of computing the potential for the
corresponding triply periodic system.
  In the Fourier space contribution of the Ewald decomposition, a Fourier
series is obtained in the periodic direction with a Fourier integral over the
non periodic directions for each discrete wave number. We show that upsampling
to resolve the integral is only needed for modes with small wave numbers. For
the zero wave number, this Fourier integral has a singularity. For this mode,
we effectively need to solve a free-space Poisson equation in two dimensions. A
very recent idea by Vico et al. makes it possible to use FFTs to solve this
problem, allowing us to unify the treatment of all modes. An adaptive 3D FFT
can be established to apply different upsampling rates locally. The
computational cost for other parts of the algorithm is essentially unchanged as
compared to the triply periodic case, in total yielding only a small increase
in both computational cost and memory usage for this singly periodic case.


title:
Well-posed PDE and integral equation formulations for scattering by
  fractal screens

abstract:
  We consider time-harmonic acoustic scattering by planar sound-soft
(Dirichlet) and sound-hard (Neumann) screens embedded in $\mathbb{R}^n$ for $n
= 2$ or $3$. In contrast to previous studies in which the screen is assumed to
be a bounded Lipschitz (or smoother) relatively open subset of the plane, we
consider screens occupying an arbitrary bounded subset of the plane. Thus our
study includes cases where the screen is a relatively open set with a boundary
that is fractal, or indeed has positive surface measure, and cases where the
screen has empty interior and is fractal, or indeed has positive surface
measure. We elucidate for which screen geometries the classical formulations of
screen scattering are well-posed, showing that the classical formulation for
sound-hard scattering is not well-posed if the screen boundary has Hausdorff
dimension greater than $n-2$. We also propose novel well-posed boundary
integral equation (BIE) and boundary value problem (BVP) formulations, valid
for arbitrary bounded screens. In fact, we show that for sufficiently irregular
screens there exist whole families of well-posed formulations, with infinitely
many distinct solutions, the distinct formulations distinguished by the sense
in which the boundary conditions are understood. To select the physically
correct solution we propose limiting geometry principles, taking the limit of
solutions for a convergent sequence of more regular screens, this a natural
procedure for those fractal screens for which there exists a standard sequence
of prefractal approximations. We present examples exhibiting interesting
physical behaviours, including penetration of waves through screens with
"holes" in them, where the "holes" have no interior points, so that the screen
and its closure scatter differently. Our results depend on subtle and
interesting properties of fractional Sobolev spaces on non-Lipschitz sets.


title: Probing the scotogenic FIMP at the LHC

abstract:
  We analyse the signatures at the Large Hadron Collider (LHC) of the
scotogenic model, when the lightest Z2-odd particle is a singlet fermion and a
feebly interacting massive particle (FIMP). We further assume that the singlet
fermion constitutes the dark matter and that it is produced in the early
Universe via the freeze-in mechanism. The small couplings required to reproduce
the observed dark matter abundance translate into decay-lengths for the
next-to-lightest Z2-odd particle which can be macroscopic, potentially leading
to spectacular signatures at the LHC. We characterize the possible signals of
the model according to the spectrum of the Z2-odd particles and we derive, for
each of the cases, bounds on the parameters of the model from current searches.


title:
On the Complexity of the Word Problem for Automaton Semigroups and
  Automaton Groups

abstract:
  In this paper, we study the word problem for automaton semigroups and
automaton groups from a complexity point of view. As an intermediate concept
between automaton semigroups and automaton groups, we introduce
automaton-inverse semigroups, which are generated by partial, yet invertible
automata. We show that there is an automaton-inverse semigroup and, thus, an
automaton semigroup with a PSPACE-complete word problem. We also show that
there is an automaton group for which the word problem with a single rational
constraint is PSPACE-complete. Additionally, we provide simpler constructions
for the uniform word problems of these classes. For the uniform word problem
for automaton groups (without rational constraints), we show NL-hardness.
Finally, we investigate a question asked by Cain about a better upper bound for
the length of a word on which two distinct elements of an automaton semigroup
must act differently.


title:
Time Dependent Saddle Node Bifurcation: Breaking Time and the Point of
  No Return in a Non-Autonomous Model of Critical Transitions

abstract:
  There is a growing awareness that catastrophic phenomena in biology and
medicine can be mathematically represented in terms of saddle-node
bifurcations. In particular, the term `tipping', or critical transition has in
recent years entered the discourse of the general public in relation to
ecology, medicine, and public health. The saddle-node bifurcation and its
associated theory of catastrophe as put forth by Thom and Zeeman has seen
applications in a wide range of fields including molecular biophysics,
mesoscopic physics, and climate science. In this paper, we investigate a simple
model of a non-autonomous system with a time-dependent parameter $p(\tau)$ and
its corresponding `dynamic' (time-dependent) saddle-node bifurcation by the
modern theory of non-autonomous dynamical systems. We show that the actual
point of no return for a system undergoing tipping can be significantly delayed
in comparison to the {\em breaking time} $\hat{\tau}$ at which the
corresponding autonomous system with a time-independent parameter $p_{a}=
p(\hat{\tau})$ undergoes a bifurcation. A dimensionless parameter
$\alpha=\lambda p_0^3V^{-2}$ is introduced, in which $\lambda$ is the curvature
of the autonomous saddle-node bifurcation according to parameter $p(\tau)$,
which has an initial value of $p_{0}$ and a constant rate of change $V$. We
find that the breaking time $\hat{\tau}$ is always less than the actual point
of no return $\tau^*$ after which the critical transition is irreversible;
specifically, the relation $\tau^*-\hat{\tau}\simeq 2.338(\lambda
V)^{-\frac{1}{3}}$ is analytically obtained. For a system with a small $\lambda
V$, there exists a significant window of opportunity $(\hat{\tau},\tau^*)$
during which rapid reversal of the environment can save the system from
catastrophe.


title: Relativistic electron beams driven by kHz single-cycle light pulses

abstract:
  Laser-plasma acceleration is an emerging technique for accelerating electrons
to high energies over very short distances. The accelerated electron bunches
have femtosecond duration, making them particularly relevant for applications
such as ultrafast imaging or femtosecond X-ray generation. Current laser-plasma
accelerators are typically driven by Joule-class laser systems that have two
main drawbacks: their relatively large scale and their low repetition-rate,
with a few shots per second at best. The accelerated electron beams have
energies ranging from 100 MeV to multi-GeV, however a MeV electron source would
be more suited to many societal and scientific applications. Here, we
demonstrate a compact and reliable laser-plasma accelerator producing
high-quality few-MeV electron beams at kilohertz repetition rate. This
breakthrough was made possible by using near-single-cycle light pulses, which
lowered the required laser energy for driving the accelerator by three orders
of magnitude, thus enabling high repetition-rate operation and dramatic
downsizing of the laser system. The measured electron bunches are collimated,
with an energy distribution that peaks at 5 MeV and contains up to 1 pC of
charge. Numerical simulations reproduce all experimental features and indicate
that the electron bunches are only $\sim 1$ fs long. We anticipate that the
advent of these kHz femtosecond relativistic electron sources will pave the way
to wide-impact applications, such as ultrafast electron diffraction in
materials with an unprecedented sub-10 fs resolution.


title: Tip-enhanced Raman spectroscopic detection of aptamers

abstract:
  Single molecule detection, sequencing and conformational mapping of aptamers
are important for improving medical and biosensing technologies and for better
understanding of biological processes at the molecular level. We obtain
vibrational signals of single aptamers immobilized on gold substrates using
tip-enhanced Raman spectroscopy (TERS). We compare topographic and optical
signals and investigate the fluctuations of the position-dependent TERS
spectra. TERS mapping provides information about the chemical composition and
conformation of aptamers, and paves the way to future single-molecule
label-free sequencing.


title: New Bounds for Chromatic Polynomials and Chromatic Roots

abstract:
  If $G$ is a $k$-chromatic graph of order $n$ then it is known that the
chromatic polynomial of $G$, $\pi(G,x)$, is at most $x(x-1)\cdots
(x-(k-1))x^{n-k} = (x)_{\downarrow k}x^{n-k}$ for every $x\in \mathbb{N}$. We
improve here this bound by showing that \[ \pi(G,x) \leq (x)_{\downarrow k}
(x-1)^{\Delta(G)-k+1} x^{n-1-\Delta(G)}\] for every $x\in \mathbb{N},$ where
$\Delta(G)$ is the maximum degree of $G$. Secondly, we show that if $G$ is a
connected $k$-chromatic graph of order $n$ where $k\geq 4$ then $\pi(G,x)$ is
at most $(x)_{\downarrow k}(x-1)^{n-k}$ for every real $x\geq n-2+\left( {n
\choose 2} -{k \choose 2}-n+k \right)^2$ (it had been previously conjectured
that this inequality holds for all $x \geq k$). Finally, we provide an upper
bound on the moduli of the chromatic roots that is an improvment over known
bounds for dense graphs.


title:
Some conjectures on intrinsic volumes of Riemannian manifolds and
  Alexandrov spaces

abstract:
  For any closed smooth Riemannian manifold H. Weyl has defined a sequence of
numbers called today intrinsic volumes. They include volume, Euler
characteristic, and integral of the scalar curvature. We conjecture that
absolute values of all intrinsic volumes are bounded by a constant depending
only on the dimension of the manifold, upper bound on its diameter, and lower
bound on the sectional curvature. Furthermore we conjecture that intrinsic
volumes can be defined for some (so called smoothable) Alexandrov spaces with
curvature bounded below and state few of the expected properties of them,
particularly the behavior under the Gromov-Hausdorff limits. We suggest
conjectural compactifications of the space of smooth closed connected
Riemannian manifolds with given upper bounds on dimension and diameter and a
lower bound on sectional curvature to which the intrinsic volumes extend by
continuity. We discuss also known cases of some of these conjectures.


title:
Peanut-shaped metallicity distributions in bulges of edge-on galaxies:
  the case of NGC 4710

abstract:
  Bulges of edge-on galaxies are often boxy/peanut-shaped (B/PS), and unsharp
masks reveal the presence of an X shape. Simulations show that these shapes can
be produced by dynamical processes driven by a bar which vertically thickens
the centre. In the Milky Way, which contains such a B/PS bulge, the X-shaped
structure is traced by the metal-rich stars but not by the metal-poor ones.
Recently Debattista et al. (2016) interpreted this property as a result of the
varying effect of the bar on stellar populations with different starting
kinematics. This kinematic fractionation model predicts that cooler populations
at the time of bar formation go on to trace the X shape, whereas hotter
populations are more uniformly distributed. As this prediction is not specific
to the Milky Way, we test it with MUSE observations of the B/PS bulge in the
nearby galaxy NGC 4710. We show that the metallicity map is more peanut-shaped
than the density distribution itself, in good agreement with the prediction.
This result indicates that the X-shaped structure in B/PS bulges is formed of
relatively metal-rich stars that have been vertically redistributed by the bar,
whereas the metal-poor stars have a more uniform, box-shaped distribution.


title:
Strictly Hyperbolic Equations with Coefficients Low-Regular in Time and
  Smooth in Space

abstract:
  We consider the Cauchy problem for strictly hyperbolic $m$-th order partial
differential equations with coefficients low-regular in time and smooth in
space. It is well-known that the problem is $L^2$ well-posed in the case of
Lipschitz continuous coefficients in time, $H^s$ well-posed in the case of
Log-Lipschitz continuous coefficients in time (with an, in general, finite loss
of derivatives) and Gevrey well-posed in the case of H\"older continuous
coefficients in time (with an, in general, infinite loss of derivatives). Here,
we use moduli of continuity to describe the regularity of the coefficients with
respect to time, weight sequences for the characterization of their regularity
with respect to space and weight functions to define the solution spaces. We
establish sufficient conditions for the well-posedness of the Cauchy problem,
that link the modulus of continuity and the weight sequence of the coefficients
to the weight function of the solution space. The well-known results for
Lipschitz, Log-Lipschitz and H\"older coefficients are recovered.


title: In-medium pseudoscalar $D/B$ mesons and charmonium decay width

abstract:
  Using QCD sum rules and chiral SU(3) model, we investigate the effect of
temperature, density, strangeness fraction and isospin asymmetric parameter on
the shift in masses and decay constants of the pseudoscalar $D$ and $B$ meson
in hadronic medium, which consist of nucleons and hyperons. The in-medium
properties of $D$ and $B$ mesons within QCD sum rule approach depend upon the
quark and gluon condensates. In chiral SU(3) model, quark and gluon condensates
are introduced through the explicit symmetry breaking term and the trace
anomaly property of the QCD, respectively and are written in terms of scalar
fields $\sigma$, $\zeta$, $\delta$ and $\chi$. Hence, through medium
modification of $\sigma$, $\zeta$, $\delta$ and $\chi$ fields, we obtain the
medium modified masses and decay constants of $D$ and $B$ mesons. As an
application, using $^3 P_0$ model, we calculate the in-medium decay width of
the higher charmonium states $ \psi(3686)$, $\psi(3770)$ and $\chi(3556)$ to
the $D \bar{D}$ pairs, considering the in-medium mass of $D$ mesons. These
results may be important to understand the possible outcomes of high energy
physics experiments, e.g., CBM and PANDA at GSI, Germany.


title:
Whispering gallery mode single nano-particle detection and sizing: the
  validity of the dipole approximation

abstract:
  Interactions between whispering gallery modes (WGMs) and small nanoparticles
are commonly modelled by treating the particle as a point dipole scatterer.
This approach is assumed to be accurate as long as the nanoparticle radius,
$a$, is small compared to the WGM wavelength $\lambda$. In this article,
however, we show that the large field gradients associated with the evanescent
decay of a WGM causes the dipole theory to significantly underestimate the
interaction strength, and hence induced WGM resonance shift, even for particles
as small as $a\sim \lambda/10$. To mitigate this issue we employ a renormalized
Born approximation to more accurately determine nanoparticle induced resonance
shifts and hence enable improved particle sizing. The domain of validity of
this approximation is investigated and supporting experimental results are
presented.


title: Dynamics in Steady State In Vitro Acto-Myosin Networks

abstract:
  It is well known that many biochemical processes in the cell such as gene
regulation, growth signals and activation of ion channels, rely on mechanical
stimuli. However, the mechanism by which mechanical signals propagate through
cells is not as well understood. In this review we focus on stress propagation
in a minimal model for cell elasticity, actomyosin networks, which are
comprised of a sub-family of cytoskeleton proteins. After giving an overview of
th actomyosin network components, structure and evolution we review stress
propagation in these materials as measured through the correlated motion of
tracer beads. We also discuss the possibility to extract structural features of
these networks from the same experiments. We show that stress transmission
through these networks has two pathways, a quickly dissipative one through the
bulk, and a long ranged weakly dissipative one through the pre-stressed actin
network.


title: Creating superfluid vortex rings in artificial magnetic fields

abstract:
  Artificial gauge fields are versatile tools that allow to influence the
dynamics of ultracold atoms in Bose-Einstein condensates. Here we discuss a
method of artificial gauge field generation stemming from the evanescent fields
of the curved surface of an optical nanofibre. The exponential decay of the
evanescent fields leads to large gradients in the generalized Rabi frequency
and therefore to the presence of geometric vector and scalar potentials. By
solving the Gross-Pitaevskii equation in the presence of the artificial gauge
fields originating from the fundamental HE$_{11}$ mode of the fibre, we show
that vortex rings can be created in a controlled manner. We also calculate the
magnetic fields resulting from the higher order HE$_{21}$, TE$_{01}$, and
TM$_{01}$ modes and compare them to the fundamental HE$_{11}$ mode.


title: Galactic Chemical Evolution

abstract:
  We analyze the evolution of oxygen abundance radial gradients resulting from
our chemical evolution models calculated with different prescriptions for the
star formation rate (SFR) and for the gas infall rate, in order to assess their
respective roles in shaping gradients. We also compare with cosmological
simulations and confront all with recent observational datasets, in particular
with abundances inferred from planetary nebulae. We demonstrate the critical
importance in isolating the specific radial range over which a gradient is
measured, in order for their temporal evolution to be useful indicators of disk
growth with redshift.


title: Thurston's h-principle and Flexibility of Poisson Structures

abstract:
  We prove an analogue of Thurston's h-principle for $2$-dimensional foliations
on manifolds of dimension bigger or equal to $4$, in the presence of a
fiber-wise non-degenerate $2$-form. This helps us understand the flexibility of
rank $2$ regular Poisson structures on open manifolds with dimension bigger or
equal to $4$ and it also helps us understand the flexibility of Poisson
structures (not regular) on closed $4$-manifolds.


title: Strong coupling theory of heavy fermion criticality II

abstract:
  We present a theory of the scaling behavior of the thermodynamic, transport
and dynamical properties of a three-dimensional metal governed by
$d$-dimensional fluctuations at a quantum critical point, where the electron
quasiparticle effective mass diverges. We determine how the critical bosonic
order parameter fluctuations are affected by the effective mass divergence. The
coupled system of fermions and bosons is found to be governed by two stable
fixed points: the conventional weak-coupling fixed point and a new
strong-coupling fixed point, provided the boson-boson interaction is
irrelevant. The latter fixed point supports hyperscaling, characterized by
fractional exponents. The theory is applied to the antiferromagnetic critical
point in certain heavy fermion compounds, in which the strong-coupling regime
is reached.


title: Bounds for smooth Fano weighted complete intersections

abstract:
  We prove that if a smooth variety with non-positive canonical class can be
embedded into a weighted projective space of dimension $n$ as a well formed
complete intersection and it is not an intersection with a linear cone therein,
then the weights of the weighted projective space do not exceed $n+1$. Based on
this bound we classify all smooth Fano complete intersections of dimensions $4$
and $5$, and compute their invariants.


title:
Topological Angular Momentum and Radiative Heat Transport in Closed
  Orbits

abstract:
  Here, we study the role of topological edge states of light in the transport
of thermally generated radiation in a closed cavity at a thermodynamic
equilibrium. It is shown that even in the zero temperature limit - when the
field fluctuations are purely quantum mechanical - there is a persistent flow
of electromagnetic momentum in the cavity in closed orbits, deeply rooted in
the emergence of spatially separated unidirectional edge state channels. It is
highlighted the electromagnetic orbital angular momentum of the system is
nontrivial, and that the energy circulation is towards the same direction as
that determined by incomplete cyclotron orbits near the cavity walls. Our
findings open new inroads in topological photonics and suggest that topological
states of light can determine novel paradigms in the context of radiative heat
transport.


title:
Transverse and longitudinal characterization of electron beams using
  interaction with optical near-fields

abstract:
  We demonstrate an experimental technique for both transverse and longitudinal
characterization of bunched femtosecond free electron beams. The operation
principle is based on monitoring of the current of electrons that obtained an
energy gain during the interaction with the synchronized optical near-field
wave excited by femtosecond laser pulses. The synchronous
accelerating/decelerating fields confined to the surface of a silicon
nanostructure are characterized using a highly focused sub-relativistic
electron beam. Here the transverse spatial resolution of 450 nm and femtosecond
temporal resolution achievable by this technique are demonstrated.


title: Lens Distortion Rectification using Triangulation based Interpolation

abstract:
  Nonlinear lens distortion rectification is a common first step in image
processing applications where the assumption of a linear camera model is
essential. For rectifying the lens distortion, forward distortion model needs
to be known. However, many self-calibration methods estimate the inverse
distortion model. In the literature, the inverse of the estimated model is
approximated for image rectification, which introduces additional error to the
system. We propose a novel distortion rectification method that uses the
inverse distortion model directly. The method starts by mapping the distorted
pixels to the rectified image using the inverse distortion model. The resulting
set of points with subpixel locations are triangulated. The pixel values of the
rectified image are linearly interpolated based on this triangulation. The
method is applicable to all camera calibration methods that estimate the
inverse distortion model and performs well across a large range of parameters.


title: A duality for involutive bisemilattices

abstract:
  We establish a natural duality between the category of involutive
bisemilattices and the category of semilattice inverse systems of Stone spaces,
using Stone duality from one side and the representation of involutive
bisemilattices as P{\l}onka sum of Boolean algebras, from the other.
Furthermore, we show that the dual space of an involutive bisemilattice can be
viewed as a GR space with involution, a generalization of the spaces introduced
by Gierz and Romanowska equipped with an involution as additional operation.


title:
$A_\infty$ implies NTA for a class of variable coefficient elliptic
  operators

abstract:
  We consider a certain class of second order, variable coefficient divergence
form elliptic operators, in a uniform domain $\Omega$ with Ahlfors regular
boundary, and we show that the $A_\infty$ property of the elliptic measure
associated to any such operator and its transpose imply that the domain is in
fact NTA (and hence chord-arc). The converse was already known, and follows
from work of Kenig and Pipher.


title:
Measuring intensity correlations of a THz quantum cascade laser around
  its threshold at sub-cycle timescales

abstract:
  The quantum nature of photonic systems is reflected in the photon statistics
of the light they emit. Therefore, the development of quantum optics tools with
single photon sensitivity and excellent temporal resolution is paramount to the
development of exotic sources, and is particularly challenging in the THz range
where photon energies approach kbT at T=300 K. Here, we report on the first
room temperature measurement of field g1({\tau}) and intensity correlations
g2({\tau}) in the THz range with sub-cycle temporal resolution (146 fs) over
the bandwidth 0.3-3 THz, based on electro-optic sampling. With this system, we
are able to measure the photon statistics at threshold of a THz Quantum Cascade
Laser.


title: Quantum Correlations of Light-Matter Interactions

abstract:
  This thesis offers novel strategies for the measurement of quantum
correlations present in controllable quantum systems, as well as for a
full-fledged implementation of the models of light-matter interaction through
which these correlations can be generated. We propose the use of an ancillary
qubit to efficiently access both time-correlation functions and entanglement
monotones, and we provide two experimental demonstrations of our methods,
measuring time correlations in an NMR setup and entanglement monotones in a
photonic system. Moreover, we explain how time-correlation functions could be
exploited for the quantum simulation of open quantum dynamics, and we provide
an experimental recipe for the measurement of entanglement monotones in trapped
ion technologies. On the other hand, we explore the quantum simulation of
quantum optical models of light-matter interaction for inaccessible coupling
regimes, providing experimental proposals for their implementation, both in
ions and superconducting circuits. Finally, we also provide an experimental
proposal for the quantum simulation of spin models in trapped ions following a
digital-analog simulation scheme.


title: Toward a new mobile cloud forensic framework

abstract:
  Smartphones have created a significant impact on the day to day activities of
every individual. Now a days a wide range of Smartphone applications are
available and it necessitates high computing resources in order to build these
applications. Cloud computing offers enormous resources and extends services to
resource-constrained mobile devices. Mobile Cloud Computing is emerging as a
key technology to utilize virtually unlimited resources over the Internet using
Smartphones. Offloading data and computations to improve productivity, enhance
performance, save energy, and improve user experience. Social network
applications largely utilize Mobile Cloud Computing to reap the benefits. The
social network has witnessed unprecedented growth in the recent years, and
millions of registered users access it using Smartphones. The mobile cloud
social network applications introduce not only convenience but also various
issues related to criminal and illegal activities. Despite being primarily used
to communicate and socialize with contacts, the multifarious and anonymous
nature of social networking websites increases susceptibility to cybercrimes.
Taking into account, the advantage of mobile cloud computing and popularity of
social network applications, it is essential to establish a forensic framework
based on mobile cloud platform that solves the problems of today forensic
requirements. In this paper we present a mobile cloud forensic framework that
allows the forensic investigator to collect the automated synchronized copies
of data on both mobile and cloud servers to prove the evidence of cloud usage.
We also show our preliminary results of this study.


title:
Stability of two-species communities: drift, environmental
  stochasticity, storage effect and selection

abstract:
  The dynamics of two competing species in a finite size community is one of
the most studied problems in population genetics and community ecology.
Stochastic fluctuations lead, inevitably, to the extinction of one of the
species, but the relevant timescale depends on the underlying dynamics. The
persistence time of the community has been calculated for neutral models, where
the only drive of the system is drift (demographic stochasticity) and for
models with strong selection. Following recent analyses that stress the
importance of environmental stochasticity in empirical systems, we present here
a general theory of persistence time of two-species community where drift,
environmental variations and time independent selective advantage are all taken
into account.


title:
The State of the Art Forensic Techniques in Mobile Cloud Environment: A
  Survey, Challenges and Current Trends

abstract:
  Smartphones have become popular in recent days due to the accessibility of a
wide range of applications. These sophisticated applications demand more
computing resources in a resource constraint smartphone. Cloud computing is the
motivating factor for the progress of these applications. The emerging mobile
cloud computing introduces a new architecture to offload smartphone and utilize
cloud computing technology to solve resource requirements. The popularity of
mobile cloud computing is an opportunity for misuse and unlawful activities.
Therefore, it is a challenging platform for digital forensic investigations due
to the non-availability of methodologies, tools and techniques. The aim of this
work is to analyze the forensic tools and methodologies for crime investigation
in a mobile cloud platform as it poses challenges in proving the evidence. The
advancement of forensic tools and methodologies are much slower than the
current technology development in mobile cloud computing. Thus, forces the
available tools, and techniques become increasingly obsolete. Therefore, it
opens up the door for the new forensic tools and techniques to cope up with
recent developments. Hence, this work presents a detailed survey of forensic
methodology and corresponding issues in a mobile device, cloud environment, and
mobile cloud applications. It mainly focuses on digital forensic issues related
to mobile cloud applications and also analyze the scope, challenges and
opportunities. Finally, this work reviewed the forensic procedures of two cloud
storage services used for mobile cloud applications such as Dropbox and
SkyDrive.


title: Moore: Interval Arithmetic in Modern C++

abstract:
  We present the library Moore, which implements Interval Arithmetic in modern
C++. This library is based on a new feature in the C++ language called
concepts, which reduces the problems caused by template meta programming, and
leads to a new approach for implementing interval arithmetic libraries in C++.


title: The greedy walk on an inhomogeneous Poisson process

abstract:
  The greedy walk is a deterministic walk that always moves from its current
position to the nearest not yet visited point. In this paper we consider the
greedy walk on an inhomogeneous Poisson point process on the real line. Our
primary interest is whether the walk visits all points of the point process,
and we determine sufficient and necessary conditions on the mean measure of the
point process for this to happen. Moreover, we provide precise results on
threshold functions for the property of visiting all points.


title:
Server Structure Proposal and Automatic Verification Technology on IaaS
  Cloud of Plural Type Servers

abstract:
  In this paper, we propose a server structure proposal and automatic
performance verification technology which proposes and verifies an appropriate
server structure on Infrastructure as a Service (IaaS) cloud with baremetal
servers, container based virtual servers and virtual machines. Recently, cloud
services have been progressed and providers provide not only virtual machines
but also baremetal servers and container based virtual servers. However, users
need to design an appropriate server structure for their requirements based on
3 types quantitative performances and users need much technical knowledge to
optimize their system performances. Therefore, we study a technology which
satisfies users' performance requirements on these 3 types IaaS cloud. Firstly,
we measure performances of a baremetal server, Docker containers, KVM (Kernel
based Virtual Machine) virtual machines on OpenStack with virtual server number
changing. Secondly, we propose a server structure proposal technology based on
the measured quantitative data. A server structure proposal technology receives
an abstract template of OpenStack Heat and function/performance requirements
and then creates a concrete template with server specification information.
Thirdly, we propose an automatic performance verification technology which
executes necessary performance tests automatically on provisioned user
environments according to the template.


title:
Proposal of Optimum Application Deployment Technology for Heterogeneous
  IaaS Cloud

abstract:
  Recently, cloud systems composed of heterogeneous hardware have been
increased to utilize progressed hardware power. However, to program
applications for heterogeneous hardware to achieve high performance needs much
technical skill and is difficult for users. Therefore, to achieve high
performance easily, this paper proposes a PaaS which analyzes application
logics and offloads computations to GPU and FPGA automatically when users
deploy applications to clouds.


title:
Predicting Human Eye Fixations via an LSTM-based Saliency Attentive
  Model

abstract:
  Data-driven saliency has recently gained a lot of attention thanks to the use
of Convolutional Neural Networks for predicting gaze fixations. In this paper
we go beyond standard approaches to saliency prediction, in which gaze maps are
computed with a feed-forward network, and present a novel model which can
predict accurate saliency maps by incorporating neural attentive mechanisms.
The core of our solution is a Convolutional LSTM that focuses on the most
salient regions of the input image to iteratively refine the predicted saliency
map. Additionally, to tackle the center bias typical of human eye fixations,
our model can learn a set of prior maps generated with Gaussian functions. We
show, through an extensive evaluation, that the proposed architecture
outperforms the current state of the art on public saliency prediction
datasets. We further study the contribution of each key component to
demonstrate their robustness on different scenarios.


title: Occlusion-Aware Video Deblurring with a New Layered Blur Model

abstract:
  We present a deblurring method for scenes with occluding objects using a
carefully designed layered blur model. Layered blur model is frequently used in
the motion deblurring problem to handle locally varying blurs, which is caused
by object motions or depth variations in a scene. However, conventional models
have a limitation in representing the layer interactions occurring at occlusion
boundaries. In this paper, we address this limitation in both theoretical and
experimental ways, and propose a new layered blur model reflecting actual blur
generation process. Based on this model, we develop an occlusion-aware
deblurring method that can estimate not only the clear foreground and
background, but also the object motion more accurately. We also provide a novel
analysis on the blur kernel at object boundaries, which shows the distinctive
characteristics of the blur kernel that cannot be captured by conventional blur
models. Experimental results on synthetic and real blurred videos demonstrate
that the proposed method yields superior results, especially at object
boundaries.


title: Learning Concept Hierarchies through Probabilistic Topic Modeling

abstract:
  With the advent of semantic web, various tools and techniques have been
introduced for presenting and organizing knowledge. Concept hierarchies are one
such technique which gained significant attention due to its usefulness in
creating domain ontologies that are considered as an integral part of semantic
web. Automated concept hierarchy learning algorithms focus on extracting
relevant concepts from unstructured text corpus and connect them together by
identifying some potential relations exist between them. In this paper, we
propose a novel approach for identifying relevant concepts from plain text and
then learns hierarchy of concepts by exploiting subsumption relation between
them. To start with, we model topics using a probabilistic topic model and then
make use of some lightweight linguistic process to extract semantically rich
concepts. Then we connect concepts by identifying an "is-a" relationship
between pair of concepts. The proposed method is completely unsupervised and
there is no need for a domain specific training corpus for concept extraction
and learning. Experiments on large and real-world text corpora such as BBC News
dataset and Reuters News corpus shows that the proposed method outperforms some
of the existing methods for concept extraction and efficient concept hierarchy
learning is possible if the overall task is guided by a probabilistic topic
modeling algorithm.


title:
A generalized Lanczos method for systematic optimization of tensor
  network states

abstract:
  We propose a generalized Lanczos method to generate the many-body basis
states of quantum lattice models using tensor-network states (TNS). The
ground-state wave function is represented as a linear superposition composed
from a set of TNS generated by Lanczos iteration. This method improves
significantly both the accuracy and the efficiency of the tensor-network
algorithm and allows the ground state to be determined accurately using TNS
with very small virtual bond dimensions. This state contains significantly more
entanglement than each individual TNS, reproducing correctly the logarithmic
size dependence of the entanglement entropy in a critical system. The method
can be generalized to non-Hamiltonian systems and to the calculation of
low-lying excited states, dynamical correlation functions, and other physical
properties of strongly correlated systems.


title: Discrete anomalies in supergravity and consistency of string backgrounds

abstract:
  We examine SL(2, Z) anomalies in ten and eight-dimensional supergravities,
the induced local counterterms and their realization in string theory.
Composite connections play an important role in the cancellation mechanism. At
the same time their global properties lead to novel non-trivial consistency
constraints on compactifications.


title: Optimal quantum state identification with qudit-encoded unknown states

abstract:
  We consider the problem of optimally identifying the state of a probe qudit,
prepared with given prior probability in a pure state belonging to a finite set
of possible states which together span a D-dimensional subspace of the
d-dimensional Hilbert space the qudit is defined in.It is assumed that we do
not know some or all of the states in the set, but for each unknown state we
are given a reference qudit into which this state is encoded. We show that from
the measurement for optimal state identification with d=D one can readily
determine the optimal figure of merit for qudits with d>D, without solving a
new optimization problem. This result is applied to the minimum-error
identification and to the optimal unambiguous identification of two qudit
states with d > 2, where either one or both of the states are unknown, and also
to the optimal unambiguous identification of N equiprobable linearly
independent unknown pure qudit states with d > N. In all cases the optimal
figure of merit, averaged over the unknown states, increases with growing
dimensionality d of the qudits.


title: Fast Face-swap Using Convolutional Neural Networks

abstract:
  We consider the problem of face swapping in images, where an input identity
is transformed into a target identity while preserving pose, facial expression,
and lighting. To perform this mapping, we use convolutional neural networks
trained to capture the appearance of the target identity from an unstructured
collection of his/her photographs.This approach is enabled by framing the face
swapping problem in terms of style transfer, where the goal is to render an
image in the style of another one. Building on recent advances in this area, we
devise a new loss function that enables the network to produce highly
photorealistic results. By combining neural networks with simple pre- and
post-processing steps, we aim at making face swap work in real-time with no
input from the user.


title:
Discovery of two-dimensional Dirac nodal line fermions in monolayer
  Cu2Si

abstract:
  Topological nodal line semimetals, a novel quantum state of materials,
possess topologically nontrivial valence and conduction bands that touch at a
line near the Fermi level. The exotic band structure can lead to various novel
properties, such as long-range Coulomb interaction and flat Landau levels.
Recently, topological nodal lines have been observed in several bulk materials,
such as PtSn4, ZrSiS, TlTaSe2 and PbTaSe2. However, in two-dimensional
materials, experimental research on nodal line fermions is still lacking. Here,
we report the discovery of two-dimensional Dirac nodal line fermions in
monolayer Cu2Si based on combined theoretical calculations and angle-resolved
photoemission spectroscopy measurements. The Dirac nodal lines in Cu2Si form
two concentric loops centred around the {\Gamma} point and are protected by
mirror reflection symmetry. Our results establish Cu2Si as a new platform to
study the novel physical properties in two-dimensional Dirac materials and
provide new opportunities to realize high-speed low-dissipation devices.


title:
Tournament limits: Degree distributions, score functions and
  self-converseness

abstract:
  Motivated by known results for finite tournaments, we define and study the
score functions of tournament kernels and the degree distributions of
tournament limits. Our main theorem completely characterises those
distributions that appear as the degree distribution of some tournament limit
and those functions that appear as the score function of some tournament
kernel. We also show that only the uniform distribution can be realised as the
outdegree distribution of a unique tournament limit. Finally we define
self-converse tournament limits and kernels and characterise their degree
distributions and score functions.


title: A Large-scale Distributed Video Parsing and Evaluation Platform

abstract:
  Visual surveillance systems have become one of the largest data sources of
Big Visual Data in real world. However, existing systems for video analysis
still lack the ability to handle the problems of scalability, expansibility and
error-prone, though great advances have been achieved in a number of visual
recognition tasks and surveillance applications, e.g., pedestrian/vehicle
detection, people/vehicle counting. Moreover, few algorithms explore the
specific values/characteristics in large-scale surveillance videos. To address
these problems in large-scale video analysis, we develop a scalable video
parsing and evaluation platform through combining some advanced techniques for
Big Data processing, including Spark Streaming, Kafka and Hadoop Distributed
Filesystem (HDFS). Also, a Web User Interface is designed in the system, to
collect users' degrees of satisfaction on the recognition tasks so as to
evaluate the performance of the whole system. Furthermore, the highly
extensible platform running on the long-term surveillance videos makes it
possible to develop more intelligent incremental algorithms to enhance the
performance of various visual recognition tasks.


title: H$_2$O Masers and Protoplanetary Disk Dynamics in IC 1396 N

abstract:
  We report H$_2$O maser line observations of the bright-rimmed globule IC 1396
N using a ground-space interferometer with the 10-m RadioAstron radio telescope
as the space-based element. The source was not detected on projected baselines
>2.3 Earth diameters, which indicates a lower limit on the maser size of L
>0.03 AU and an upper limit on the brightness temperature of 6.25 x 10$^{12}$
K. Positions and flux densities of maser spots were determined by fringe rate
mapping. Multiple low-velocity features from -4.5 km/s to +0.7 km/s are seen,
and two high-velocity features of V$_{LSR}$=-9.4 km/s and +4.4 km/s are found
at projected distances of 157 AU and 70 AU, respectively, from the strongest
low-velocity feature at V$_{LSR}$=$\sim$0.3 km/s. Maser components from the
central part of the spectrum fall into four velocity groups but into three
spatial groups. Three spatial groups of low-velocity features detected in the
2014 observations are arranged in a linear structure about 200 AU in length.
Two of these groups were not detected in 1996 and possibly are jets which
formed between 1996 and 2014. The putative jet seems to have changed direction
in 18 years, which we explain by the precession of the jet under the influence
of the gravity of material surrounding the globule. The jet collimation can be
provided by a circumstellar protoplanetary disk. There is a straight line
orientation in the V$_{LSR}$-Right Ascension diagram between the jet and the
maser group at V$_{LSR}$=$\sim$0.3 km/s. However, the central group with the
same position but at the velocity V$_{LSR}$$\sim$-3.4 km/s falls on a straight
line between two high-velocity components detected in 2014. Comparison of the
low-velocity positions from 2014 and 1996, based on the same diagram, shows
that the majority of the masers maintain their positions near the central
velocity V$_{LSR}$=$\sim$0.3 km/s during the 18 year period.


title: Mollification of the Fourth Moment of Dirichlet L-functions

abstract:
  We evaluate some twisted fourth moment of Dirichlet $L$-functions at the
central point s=1/2 and for prime moduli q. The principal tool is a careful
analysis of a shifted convolution problem involving the divisor function using
spectral theory of automorphic forms and bounds for bilinear forms in
Kloosterman sums. Having in mind simultaneous non vanishing results, we apply
the Theorem to establish an asymptotic formula of a mollified fourth moment for
this family of $L$-functions


title: Periodicity for space-inhomogeneous quantum walks on the cycle

abstract:
  In this paper, we consider periodicity for space-inhomogeneous quantum walks
on the cycle. For isospectral coin cases, we propose a spectral analysis. Based
on the analysis, we extend the result for periodicity for Hadamard walk to some
isospectral coin cases. For non-isospectral coin cases, we consider the the
system that uses only one general coin at the origin and the identity coin at
the other sites. In this case, we show that the periodicity of the general coin
at the origin determines the periodicity for the whole system.


title:
Kaon-kaon scattering at maximal isospin from $N_f=2+1+1$ twisted mass
  lattice QCD

abstract:
  We present results for the interaction of two kaons at maximal isospin. The
calculation is based on 2+1+1 flavour gauge configurations generated by the ETM
Collaboration (ETMC) featuring pion masses ranging from about 230 MeV to 450
MeV at three values of the lattice spacing. The elastic scattering length
$a_0^{I=1}$ is calculated at several values of the bare strange quark and light
quark masses. We find $M_K a_0 =-0.397(11)(_{-8}^{+0})$ as the result of a
chiral and continuum extrapolation to the physical point. This number is
compared to other lattice results.


title: Iitaka fibrations for vector bundles

abstract:
  A vector bundle on a smooth projective variety, if it is generically
generated by global sections, yields a rational map to a Grassmannian, called
Kodaira map. We investigate the asymptotic behaviour of the Kodaira maps for
the symmetric powers of a vector bundle, and we show that these maps stabilize
to a map dominating all of them, as it happens for a line bundle via the Iitka
fibration. Through this Iitaka-type construction, applied to the cotangent
bundle, we give a new characterization of Abelian varieties.


title: Volume of the set of locally diagonalizable bipartite states

abstract:
  The purpose of this article is to investigate the geometry of the set of
locally diagonalizable bipartite quantum states. We have the following new
results: the Hilbert-Schmidt volume of all locally diagonalizable states, and a
necessary and sufficient condition for local diagonalizability in the
qubit-qubit case. Besides, we partition the set of all locally diagonalizable
states as local unitary orbits (or coadjoint orbits) of diagonal forms. It is
well-known that the Riemannian volume of a coadjoint orbit for a regular point
in a specified Weyl chamber can be calculated by Harish-Chandra's volume
formula. By modifying Harish-Chandra's volume formula, we give, for the first
time, a specific formula for the Riemannian volume of a local unitary orbit of
a regular point in a specified Weyl chamber. Several open questions are
presented as well.


title: Surveillance Video Parsing with Single Frame Supervision

abstract:
  Surveillance video parsing, which segments the video frames into several
labels, e.g., face, pants, left-leg, has wide applications.
However,pixel-wisely annotating all frames is tedious and inefficient. In this
paper, we develop a Single frame Video Parsing (SVP) method which requires only
one labeled frame per video in training stage. To parse one particular frame,
the video segment preceding the frame is jointly considered. SVP (1) roughly
parses the frames within the video segment, (2) estimates the optical flow
between frames and (3) fuses the rough parsing results warped by optical flow
to produce the refined parsing result. The three components of SVP, namely
frame parsing, optical flow estimation and temporal fusion are integrated in an
end-to-end manner. Experimental results on two surveillance video datasets show
the superiority of SVP over state-of-the-arts.


title: Level sets and drift estimation for reflected Brownian motion with drift

abstract:
  We consider the estimation of the drift and the level sets of the stationary
distri- bution of a Brownian motion with drift, reflected in the boundary of a
compact set $S\subset R^d$ , departing from the observation of a trajectory of
this process. We obtain the uniform consistency and rates of convergence for
the proposed kernel based estimators. This problem has relevant applications in
ecology, in estimating the home-range and the core-area of an animal based on
tracking data. Recently, the problem of estimat- ing the domain of a reflected
Brownian motion was considered in Cholaquidis, et al. (2016), when the
stationary distribution is uniform and the estimation of the core-area, defined
as a level set of the stationary distribution, is meaningless. As a by-product
of our results, we obtain an estimation of the drift function. In order to
prove our re- sults, some new theoretical properties of the reflected Brownian
motion with drift are obtained, under fairly general assumptions. These
properties allow us to perform the estimation for flexible regions close to
reality. The theoretical findings are illustrated on simulated and real data
examples.


title: On a symmetrization of hemiimplicative semilattices

abstract:
  A hemiimplicative semilattice is a bounded semilattice $(A, \wedge, 1)$
endowed with a binary operation $\to$, satisfying that for every $a, b, c \in
A$, $a \leq b \to c$ implies $a \wedge b \leq c$ (that is to say, one of the
conditionals satisfied by the residuum of the infimum) and the equation $a \to
a = 1$. The class of hemiimplicative semilattices form a variety. These
structures provide a general framework for the study of different structures of
interest in algebraic logic. In any hemiimplicative semilattice it is possible
to define a derived operation by $a \sim b := (a \to b) \wedge (b \to a)$.
Endowing $(A, \wedge, 1)$ with the binary operation $\sim$ results again a
hemiimplicative semilattice, which also satisfies the identity $a \sim b = b
\sim a$. We call the elements of the subvariety of hemiimplicative semilattices
satisfying $a \to b = b \to a$, a symmetric hemiimplicative semilattice. In
this article, we study the correspondence assigning the symmetric
hemiimplicative semilattice $(A, \wedge, \sim , 1)$ to the hemiimplicative
semilattice $(A, \wedge, \to, 1)$. In particular, we characterize the image of
this correspondence. We also provide many new examples of hemiimplicative
semilattice structures on any bounded semillatice (possibly with bottom).
Finally, we characterize congruences on the clases of hemiimplicative
semilattices introduced as examples and we describe the principal congruences
of hemiimplicative semilattices.


title: Implicant based parallel all solution solver for Boolean satisfiability

abstract:
  This paper develops a parallel computational solver for computing all
satifying assignments of a Boolean system of equations defined by Boolean
functions of several variables. While there are we known solvers for
satisfiability of Boolean formulas in CNF form, these are designed primarily
for deciding satisfiability of the formula and do not address the problem of
finding all satisfying solutions. Moreover development of parallel solvers for
satisfiability problems is still an unfinished problem of Computer Science. The
solver proposed in this paper is aimed at representing all solutions of Boolean
formulas even without the CNF form with a parallel algorithm. Algorithm
proposed is applied to Boolean functions in algebraic normal form (ANF). The
algorithm is based on the idea to represent the satisfying assignments in terms
of a complete set of implicants of the Boolean functions appearing as factors
of a Boolean formula. The algorithm is effective mainly in the case when the
factors of the formula are sparse (i.e. have a small fraction of the total
number of variables). This allows small computation of a complete set of
implicants of individual factors one at a time and reduce the formula at each
step. An algorithm is also proposed for finding a complete set of orthogonal
implicants of functions in ANF. An advantages of this algorithm is that all
solutions can be represented compactly in terms of implicants. Finally due to
small and distributed computation at every step as well as computation in terms
of independent threads, the solver proposed in this paper is expected to be
useful for developing heuristics for a well scalable parallel solver for large
size problems of Boolean satisfiability over large number of processors.


title:
Magnetic field concentration with coaxial silicon nanocylinders in
  optical spectral range

abstract:
  Possibility of magnetic energy accumulation inside silicon nanoparticles at
the conditions of resonant optical responses is investigated theoretically. The
magnetic field distributions inside silicon nanocylinders with and without
coaxial through holes are calculated using full-wave numerical approach. It is
demonstrated that such systems can be used for control and manipulation of
optical magnetic fields providing their enhancement up to 26 times at the
condition of optical resonances. Obtained results can be used for realization
of nanoantennas and nanolasers, in which magnetic optical transitions play
significant roles.


title: p-adic approach of Greenberg's conjecture (p-split totally real case)

abstract:
  Let k be a totally real number field ant let k$\infty$ be its cyclotomic
Zp-extension for a prime p\textgreater{}2. We give (Theorem 3.2) a sufficient
condition of nullity of the Iwasawa invariants lambda, mu, when p totally
splits in k, and we obtain important tables of quadratic fields and p for which
we can conclude that lambda = mu=0.We show that the number of ambiguous
p-classes of kn (nth stage in k$\infty$) is equal to the order of the torsion
group T, of the Galois group of the maximal Abelian p-ramified pro-p-extension
of k (Theorem 4.2), for all n \textgreater{}\textgreater{} e, where p^e is the
exponent of U*/ adh(E) (in terms of local and global units of k). Then we
establish analogs of Chevalley's formula using a family
(Lambda\_i^n)\_{0$\le$i$\le$m\_n} of subgroups of k* containing E, in which any
x is norm of an ideal of kn. This family is attached to the classical
filtration of the p-class group of kn defining the algorithm of computation of
its order in m\_n steps. From this, we prove (Theorem 6.1) that m\_n $\ge$
(lambda.n + mu.p^n + nu)/v\_p(T\_k) and that the condition m\_n = O(1) (i.e.,
lambda = mu=0) essentially depends on the P-adic valuations of the
(x^(p-1)-1)/p, x in Lambda\_i^n, for P I p, so that Greenberg's conjecture is
strongly related to "Fermat quotients" in k*. Heuristics and statistical
analysis of these Fermat quotients (Sections 6, 7, 8) show that they follow
natural probabilities, linked to T\_k whatever n, suggesting that lambda = mu=0
(Heuristics 7.1, 7.2, 7.3). This would imply that, for a proof of Greenberg's
conjecture, some deep p-adic results (probably out of reach now), having some
analogy with Leopoldt's conjecture, are necessary before referring to the sole
algebraic Iwasawa theory.


title: Spin Chains and Gustafson's Integrals

abstract:
  Gustafson's integrals are multidimensional generalizations of the classical
Mellin-Barnes integrals. We show that some of these integrals arise from
relations between matrix elements in Sklyanin's representation of Separated
Variables in spin chain models. We also present several new integrals.


title: Type-II Seesaw Model and Multilepton Signatures at Hadron Colliders

abstract:
  We investigate multilepton signatures, arising from the decays of doubly
charged and singly charged Higgs bosons in the Type-II Seesaw model. Depending
on the vacuum expectation value of the triplet $v_{\Delta}$, the doubly and
singly charged Higgs bosons can decay into a large variety of multi-lepton
final states. We explore all possible decay modes corresponding to different
regimes of $v_{\Delta}$, that generate distinguishing four and five leptonic
signatures. We focus on the 13 TeV Large Hadron Collider (LHC) and further
extend the study to a very high energy proton-proton collider (VLHC) with a
center-of-mass energy of 100 TeV. We find that a doubly charged Higgs boson of
masses around 375 GeV can be discovered at immediate LHC runs. A heavier mass
of 630 GeV can instead be discovered at the high-luminosity run of the LHC or
at the VLHC with 30 $\rm{fb}^{-1}$.


title: Superdirectional Beam of Surface Spin Wave

abstract:
  The visualized diffraction patterns of surface spin wave excited by
arbitrarily oriented linear transducer are investigated experimentally in the
plane of tangentially magnetized ferrite film for the case where the transducer
length D is much larger than the wavelength L. It is shown experimentally and
theoretically that the angular width of diffracted surface spin wave beam in
anisotropic ferrite film can take values greater or less than L/D and can also
be zero. For the last case superdirectional (nonexpanding) beam of the surface
spin wave is observed experimentally: the smearing of the beam energy along the
film plane is absent and the length of the beam trajectory is maximal (~50 mm).


title: Phase mixing importance for both Landau instability and damping

abstract:
  We discuss the self-consistent dynamics of plasmas by means of hamiltonian
formalism for a system of $N$ near-resonant electrons interacting with a single
Langmuir wave. The connection with the Vlasov description is revisited through
the numerical calculation of the van Kampen-like eigenfrequencies of the
linearized dynamics for many degrees of freedom. Both the exponential-like
growth as well as damping of the Langmuir wave are shown to emerge from a phase
mixing effect among beam modes, revealing unexpected similarities between the
stable and unstable regimes.


title: Flows and functional inequalities for fractional operators

abstract:
  This paper collects results concerning global rates and large time
asymptotics of a fractional fast diffusion on the Euclidean space, which is
deeply related with a family of fractional Gagliardo-Nirenberg-Sobolev
inequalities. Generically, self-similar solutions are not optimal for the
Gagliardo-Nirenberg-Sobolev inequalities, in strong contrast with usual
standard fast diffusion equations based on non-fractional operators. Various
aspects of the stability of the self-similar solutions and of the entropy
methods like carr{\'e} du champ and R{\'e}nyi entropy powers methods are
investigated and raise a number of open problems.


title: On the denseness of the set of scattering amplitudes

abstract:
  It is proved that the set of scattering amplitudes $\{A(\beta, \alpha,
k)\}_{\forall \alpha \in S^2}$, known for all $\beta\in S^2$, where $S^2$ is
the unit sphere in $\mathbb{R}^3$, $k>0$ is fixed, $k^2$ is not a Dirichlet
eigenvalue of the Laplacian in $D$, is dense in $L^2(S^2)$. Here $A(\beta,
\alpha, k)$ is the scattering amplitude corresponding to an obstacle $D$, where
$D\subset \mathbb{R}^3$ is a bounded domain with a boundary $S$.
  The boundary condition on $S$ is the Dirichlet condition.


title:
Clearing and Pricing for Coordinated Gas and Electricity Day-ahead
  Markets Considering Wind Power Uncertainty

abstract:
  The natural gas and electricity systems are now becoming more and more
strongly coupled. While gas-fired units (GFUs) are replacing the retired coal
plants, the power systems are also increasingly dependent on the flexibilities
provided by GFUs to accommodate intermittent renewable energies. The GFUs'
capability of power generation relies on the availability of gas resources,
which is determined jointly by the capacity of gas suppliers and their
associated pipeline networks. However, the gas and electricity markets are
operated separately. As a con-sequence, the GFUs actually have to "represent"
the whole power system to bid on the gas market: they need to make forecasts on
future gas consumption, and bear the risk of improper contracts or being unable
to meet the generation schedules due to insufficient gas supply. When facing
larger shares of renewable energies and more-frequent gas network congestion,
the current market framework is especially unreliable and inefficient, and also
economically unfriendly to the investors of the GFU assets. In this paper, we
try to develop a framework which can combine the two markets. By properly
pricing the scarce resources, e.g., gas transmission capacity, the joint market
can help allocate them more efficiently while satisfying the demands. And by
considering the uncertainty brought by renewable energies, a more
forward-looking day-ahead market clearing framework is presented. The
formulation, algorithm of the pro-posed joint market model will be presented,
as well as some case studies.


title: Effective temperature of ionizing stars of extragalactic HII regions

abstract:
  The effective temperature (Teff) of the radiation field of the ionizing
star(s) of a large sample of extragalactic HII regions was estimated using the
R= log([OII](3727)/[OIII]5007) index. We used a grid of photoionization models
to calibrate the Teff-R relation finding that it has a strong dependence with
the ionizing parameter while it shows a weak direct dependence with the
metallicity (variations in Z imply variations in U) of both the stellar
atmosphere of the ionizing star and the gas phase of the HII region. Since the
R index varies slightly with the Teff for values larger than 40 kK, the R index
can be used to derive the Teff in 30-40 kK range. A large fraction of the
ionization parameter variation is due to differences in the temperature of the
ionizing stars and then the use of the (relatively) low Teff dependent S2=[S
II](6717+31)/Ha emission-line ratio to derive the ionization parameter is
preferable over others in the literature. We propose linear metallicity
dependent relationships between S2 and U. Teff and metallicity estimations for
a sample of 865 HII regions, whose emission-line intensities were compiled from
the literature, do not show any Teff-Z correlation. On the other hand it seems
to be hints of the presence of an anti-correlation between Teff-U. We found
that the majority of the studied HII regions (87%) present Teff values in the
range between 37 and 40 kK, with an average value of 38.5 kK. We also studied
the variation of Teff as a function of the galactocentric distance for 14
spiral galaxies. Our results are in agreement with the idea of the existence of
positive Teff gradients along the disk of spiral galaxies.


title:
Do Stellar Winds Prevent the Formation of Supermassive Stars by
  Accretion?

abstract:
  Supermassive stars (SMS; ~ 10^5 M_sun) formed from metal-free gas in the
early Universe attract attention as progenitors of supermassive black holes
observed at high redshifts. To form SMSs by accretion, central protostars must
accrete at as high rates as ~ 0.1-1 M_sun/yr. Such protostars have very
extended structures with bloated envelopes, like super-giant stars, and are
called super-giant protostars (SGPSs). Under the assumption of hydrostatic
equilibrium, SGPSs have density inverted layers, where the luminosity becomes
locally super-Eddington, near the surface. If the envelope matter is allowed to
flow out, however, a stellar wind could be launched and hinder the accretion
growth of SGPSs before reaching the supermassive regime. We examine whether
radiation-driven winds are launched from SGPSs by constructing steady and
spherically symmetric wind solutions. We find that the wind velocity does not
reach the escape velocity in any case considered. This is because once the
temperature falls below ~ 10^4 K, the opacity plummet drastically owing to the
recombination of hydrogen and the acceleration ceases suddenly. This indicates
that, in realistic non-steady cases, even if outflows are launched from the
surface of SGPSs, they would fall back again. Such a "wind" does not result in
net mass loss and does not prevent the growth of SGPSs. In conclusion, SGPSs
will grow to SMSs and eventually collapse to massive BHs of ~ 10^5 M_sun, as
long as the rapid accretion is maintained.


title: Perturbation of zero surfaces

abstract:
  It is proved that if a smooth function $u(x)$, $x\in \mathbb{R}^3$, such that
$\inf_{s\in S}|u_N(s)|>0$, where $u_N$ is the normal derivative of $u$ on $S$,
has a closed smooth surface $S$ of zeros, then the function $u(x)+\epsilon
v(x)$ has also a closed smooth surface $S_\epsilon$ of zeros. Here $v$ is a
smooth function and $\epsilon>0$ is a sufficiently small number.


title: Functional evolution of scalar fields in bounded one-dimensional regions

abstract:
  We discuss the unitarity of the quantum evolution between arbitrary Cauchy
surfaces of a 1+1 dimensional free scalar field defined on a bounded spatial
region and subject to several types of boundary conditions including Dirichlet,
Neumann and Robin.


title: Status of air-shower measurements with sparse radio arrays (ARENA 2016)

abstract:
  This proceeding gives a summary of the current status and open questions of
the radio technique for cosmic-ray air showers, assuming that the reader is
already familiar with the principles. It includes recent results of selected
experiments not present at this conference, e.g., LOPES and TREND. Current
radio arrays like AERA or Tunka-Rex have demonstrated that areas of several
km^2 can be instrumented for reasonable costs with antenna spacings of the
order of 200 m. For the energy of the primary particle such sparse antenna
arrays can already compete in absolute accuracy with other precise techniques,
like the detection of air-fluorescence or air-Cherenkov light. With further
improvements in the antenna calibration, the radio detection might become even
more accurate. For the atmospheric depth of the shower maximum, Xmax, currently
only the dense array LOFAR features a precision similar to the fluorescence
technique, but analysis methods for the radio measurement of Xmax are still
under development. Moreover, the combination of radio and muon measurements is
expected to increase the accuracy of the mass composition, and this
around-the-clock recording is not limited to clear nights as are the
light-detection methods. Consequently, radio antennas will be a valuable add-on
for any air shower array targeting the energy range above 100 PeV.


title: Search for short strings in~$e^+e^-$-annihilation

abstract:
  In this work the behavior of power corrections to Adler finction in operator
product expansion (OPE) is studied, in particular the possible contribution of
operator of dimension 2. The OPE terms of dimension 4 and 6 are taken into
account. Various experimental data on reactions of $e^+e^-$-annihilation to
pion channels ($\pi^+\pi^-$, $2\pi^+2\pi^-$, $\pi^+\pi^-2\pi^0$,
$3\pi^+3\pi^-$, $2\pi^+2\pi^-2\pi^0$) are used. The high-precision fits of the
experimental data are obtained and used. The method based on Borel transform of
Adler function is applied. It is shown that the contribution of operator of
dimension 2 is negative being compatible to zero at three standard deviations
level. The strong (anti)corellation between short string and local gluon
condensate is found.


title: An Inductive Proof Method for Simulation-based Compiler Correctness

abstract:
  We study induction on the program structure as a proof method for
bisimulation-based compiler correctness. We consider a first-order language
with mutually recursive function definitions, system calls, and an environment
semantics. The proof method relies on a generalization of compatibility of
function definition with the bisimulation. We use the inductive method to show
correctness of a form of dead code elimination. This is an interesting case
study because the transformation removes function, variable, and parameter
definitions from the program. While such transformations require modification
of the simulation in a coinductive proof, the inductive method deals with them
naturally. All our results are formalized in Coq.


title:
The search for standard model four-top-quark production at sqrt(s) = 13
  TeV in the single lepton and opposite-sign dilepton channels

abstract:
  A combined search for standard model four-top-quark production in the single
lepton plus jets and dilepton channels will be presented. The analysis utilises
the 2015 dataset recorded by the CMS experiment at sqrt(s) = 13 TeV which
corresponds to an integrated luminosity of 2.6 fb-1. A scheme based on a
boosted decision tree algorithm is used to select signal and suppress
backgrounds. An upper limit on the cross section of four-top-quark production
will be presented.


title: Tunka-Rex: Status, Plans, and Recent Results (ARENA 2016)

abstract:
  Tunka-Rex, the Tunka Radio extension at the TAIGA facility (Tunka Advanced
Instrument for cosmic ray physics and Gamma Astronomy) in Siberia, has recently
been expanded to a total number 63 SALLA antennas, most of them distributed on
an area of one square kilometer. In the first years of operation, Tunka-Rex was
solely triggered by the co-located air-Cherenkov array Tunka-133. The
correlation of the measurements by both detectors has provided direct
experimental proof that radio arrays can measure the position of the shower
maximum. The precision achieved so far is 40 g/cm^2, and several methodical
improvements are under study. Moreover, the cross-comparison of Tunka-Rex and
Tunka-133 shows that the energy reconstruction of Tunka-Rex is precise to 15 %,
with a total accuracy of 20 % including the absolute energy scale. By using
exactly the same calibration source for Tunka-Rex and LOPES, the energy scale
of their host experiments, Tunka-133 and KASCADE-Grande, respectively, can be
compared even more accurately with a remaining uncertainty of about 10 %. The
main goal of Tunka-Rex for the next years is a study of the cosmic-ray mass
composition in the energy range above 100 PeV: For this purpose, Tunka-Rex now
is triggered also during daytime by the particle detector array Tunka-Grande
featuring surface and underground scintillators for electron and muon
detection.


title:
Super-resolution quantum sensing using NV centers based on rotating
  linear polarized light and Monte-Carlo method

abstract:
  The nitrogen vacancy (NV) center in diamond has been widely applied for
quantum information and sensing in last decade. Based on the laser polarization
dependent excitation of fluorescence emission, we propose a super-resolution
microscopy of NV center. A series of wide field images of NV centers are taken
with different polarizations of the linear polarized excitation laser. The
fluorescence intensity of NV center is changed with the relative angle between
excitation laser polarization and the orientation of NV center dipole. The
images pumped by different excitation laser polarizations are analyzed with
Monte Carlo method. Then the symmetry axis and position of NV center are
obtained with sub-diffraction resolution.


title:
Dissipative self-gravitating Bose-Einstein condensates with arbitrary
  nonlinearity as a model of dark matter halos

abstract:
  We develop a general formalism applying to Newtonian self-gravitating
Bose-Einstein condensates. This formalism may find application in the context
of dark matter halos. We introduce a generalized Gross-Pitaevskii equation
including a source of dissipation (damping) and an arbitrary nonlinearity.
Using the Madelung transformation, we derive the hydrodynamic representation of
this generalized Gross-Pitaevskii equation and obtain a damped quantum Euler
equation involving a friction force proportional and opposite to the velocity
and a pressure force associated with an equation of state determined by the
nonlinearity present in the generalized Gross-Pitaevskii equation. In the
strong friction limit, we obtain a quantum Smoluchowski equation. These
equations satisfy an $H$-theorem for a free energy functional constructed with
a generalized entropy. We specifically consider the Boltzmann and Tsallis
entropies associated with isothermal and polytropic equations of state. We also
consider the entropy associated with the logotropic equation of state. We
derive the virial theorem corresponding to the generalized Gross-Pitaevskii
equation, damped quantum Euler equation, and quantum Smoluchowski equation.
Using a Gaussian ansatz, we obtain a simple equation governing the dynamical
evolution of the size of the condensate. We highlight a specific model of dark
matter halos corresponding to a generalized Gross-Pitaevskii equation with a
logarithmic nonlinearity and a cubic nonlinearity. It leads to dark matter
halos with an equation of state $P=\rho k_B T_{\rm eff}/m+2\pi
a_s\hbar^2\rho^{2}/m^3$ presenting a condensed core (BEC/soliton) and an
isothermal halo with an effective temperature $T_{\rm eff}$. We propose that
this model provides an effective coarse-grained parametrization of dark matter
halos experiencing gravitational cooling.


title:
Thermal and Quantum critical Properties of overdoped
  La_{2-x}Sr_{x}CuO_{4}

abstract:
  We analyze the extended superfluid density data of Bo\v{z}ovi\'{c} \textit{
et al}. taken on homogenous thin films to explore the critical properties of
the thermal (TSM) and quantum superconductor to metal (QSM) transitions in
overdoped La$_{2-x}$Sr$_{x}$CuO$_{4}$. The temperature dependence reveals
remarkable agreement with d-wave BCS behavior, where $\sigma \propto 1/\lambda
^{2}$. No sign of the expected KTB transition is observable. We show that the
critical amplitude $\rho_{s0}=\rho_{s}\left( T\right) /\left( 1-T/T_{c}\right)
$ scales as $T_{c}\propto \rho_{s0}^{1/2}$ and with that as $T_{c}\propto
\rho_{s}\left( 0\right) $, empirically verified by Bo\v{z}ovi\'{c} \textit{et
al}. Together with additional evidence for BCS behavior in overdoped
La$_{2-x}$Sr$_{x}$CuO$_{4}$ we show that the scaling relation $T_{c}\propto
\lambda \left( 0\right) ^{-1}\propto \Delta \left( 0\right) \propto \xi \left(
0\right) ^{-1}\propto H_{c2}\left( 0\right) ^{-1/2}\propto
\lambda_{0}^{-1}\propto \Delta_{0}\propto \xi_{0}^{-1}\propto H_{c20}^{-1/2}$
applies, by approaching the QSM and TSM transitions. This differs from the
dirty limit behavior $\lambda \left( 0\right) \propto \xi \left( 0\right)
^{1/2}$, maintains the $T_{c}$ \ independence of the Ginzburg-Landau parameter
$\kappa =\lambda_{o}/\xi_{0}$, and puts a stringent constraint on the effect at
work. We notice that potential candidates appear to be the nonlocal effects on
the penetration depth of clean d-wave superconductors explored by Kosztin and
Legget.


title: Dissipative Preparation of Entangled Many-Body States with Rydberg Atoms

abstract:
  We investigate a one-dimensional atomic lattice laser-driven to a Rydberg
state, in which engineered dissipation channels lead to entanglement in the
many-body system. In particular, we demonstrate the efficient generation of
ground states of a frustration-free Hamiltonian, as well as $W$ states. We
discuss the realization of the required coherent and dissipative terms, and we
perform extensive numerical simulations characterizing the fidelity of the
state preparation procedure. We identify the optimum parameters for high
fidelity entanglement preparation and investigate the scaling with the size of
the system.


title:
A Note on the Ratio of Revenues Between Selling in a Bundle and
  Separately

abstract:
  We consider the problem of maximizing revenue when selling k items to a
single buyer with known valuation distributions. We show that for a single,
additive buyer whose valuations for for the items are distributed according to
i.i.d. distributions which are known to the seller, the ratio of revenue from
selling in a bundle to selling separately is at least 55.9% and this gap is
attainable.


title:
Tunka-Rex: energy reconstruction with a single antenna station (ARENA
  2016)

abstract:
  The Tunka-Radio extension (Tunka-Rex) is a radio detector for air showers in
Siberia. From 2012 to 2014, Tunka-Rex operated exclusively together with its
host experiment, the air-Cherenkov array Tunka-133, which provided trigger,
data acquisition, and an independent air-shower reconstruction. It was shown
that the air-shower energy can be reconstructed by Tunka-Rex with a precision
of 15\% for events with signal in at least 3 antennas, using the radio
amplitude at a distance of 120\,m from the shower axis as an energy estimator.
Using the reconstruction from the host experiment Tunka-133 for the air-shower
geometry (shower core and direction), the energy estimator can in principle
already be obtained with measurements from a single antenna, close to the
reference distance. We present a method for event selection and energy
reconstruction, requiring only one antenna, and achieving a precision of about
20\%. This method increases the effective detector area and lowers thresholds
for zenith angle and energy, resulting in three times more events than in the
standard reconstruction.


title: Lift and drag in three-dimensional steady viscous and compressible flow

abstract:
  In a recent paper, Liu, Zhu and Wu (2015, {\it J. Fluid Mech.} {\bf 784}:
304) present a force theory for a body in a two-dimensional, viscous,
compressible and steady flow. In this companion paper we do the same for
three-dimensional flow. Using the fundamental solution of the linearized
Navier-Stokes equations, we improve the force formula for incompressible flow
originally derived by Goldstein in 1931 and summarized by Milne-Thomson in
1968, both being far from complete, to its perfect final form, which is further
proved to be universally true from subsonic to supersonic flows. We call this
result the \textit{unified force theorem}, which states that the forces are
always determined by the vector circulation $\pGamma_\phi$ of longitudinal
velocity and the scalar inflow $Q_\psi$ of transverse velocity. Since this
theorem is not directly observable either experimentally or computationally, a
testable version is also derived, which, however, holds only in the linear far
field. We name this version the \textit{testable unified force formula}. After
that, a general principle to increase the lift-drag ratio is proposed.


title:
Induced Weights on Quotient Modules and an Application to Error
  Correction in Coherent Networks

abstract:
  We consider distance functions on a quotient module $M/K$ induced by distance
functions on a module $M$. We define error-correction for codes in $M/K$ with
respect to induced distance functions. For the case that the metric is induced
by a homogeneous weight, we derive analogues of the Plotkin and Elias-Bassalygo
bounds and give their asymptotic versions. These results have applications to
coherent network error-correction in the presence of adversarial errors. We
outline this connection, extending the linear network coding scheme introduced
by Yang et al.