title: Transport in Chern-Simons-Matter Theories

abstract:
  The frequency-dependent longitudinal and Hall conductivities ---
$\sigma_{xx}$ and $\sigma_{xy}$ --- are dimensionless functions of $\omega/T$
in 2+1 dimensional CFTs at nonzero temperature. These functions characterize
the spectrum of charged excitations of the theory and are basic experimental
observables. We compute these conductivities for large $N$ Chern-Simons theory
with fermion matter. The computation is exact in the 't Hooft coupling
$\lambda$ at $N = \infty$. We describe various physical features of the
conductivity, including an explicit relation between the weight of the delta
function at $\omega = 0$ in $\sigma_{xx}$ and the existence of infinitely many
higher spin conserved currents in the theory. We also compute the
conductivities perturbatively in Chern-Simons theory with scalar matter and
show that the resulting functions of $\omega/T$ agree with the strong coupling
fermionic result. This provides a new test of the conjectured 3d bosonization
duality. In matching the Hall conductivities we resolve an outstanding puzzle
by carefully treating an extra anomaly that arises in the regularization scheme
used.


title: Distinguishing Dirac/Majorana Sterile Neutrinos at the LHC

abstract:
  We study the purely leptonic decays of $W^\pm \to e^\pm e^\pm \mu^\mp \nu$
and $\mu^\pm \mu^\pm e^\mp \nu$ produced at the LHC, induced by sterile
neutrinos with mass $m_N$ below $M_W$ in the intermediate state. Since the
final state neutrino escapes detection, one cannot tell whether this process
violates lepton number, what would indicate a Majorana character for the
intermediate sterile neutrino. Our study shows that when the sterile neutrino
mixings with electrons and muons are different enough, one can still
discriminate between the Dirac and Majorana character of this intermediate
neutrino by simply counting and comparing the above decay rates. After
performing collider simulations and statistical analysis, we find that at the
$14~\text{TeV}$ LHC with an integrated luminosity of $3000~\text{fb}^{-1}$, for
two benchmark scenarios $m_N$ = 20 GeV and 50 GeV, at least a $3\sigma$ level
of exclusion on the Dirac case can be achieved for disparities as mild as e.g.
$|U_{Ne}|^2 < 0.7~ |U_{N\mu}|^2$ or $|U_{N\mu}|^2 < 0.7~ |U_{N e}|^2$, provided
that $|U_{Ne}|^2$, $|U_{N\mu}|^2$ are both above $\sim 2\times 10^{-6}$.


title:
Super-radiant phase transition in superconducting circuit in thermal
  equilibrium

abstract:
  We propose a superconducting circuit that shows a super-radiant phase
transition (SRPT) in the thermal equilibrium. The existence of the SRPT is
confirmed analytically in the limit of an infinite number of artificial atoms.
We also perform numerical diagonalization of the Hamiltonian with a finite
number of atoms and observe an asymptotic behavior approaching the infinite
limit as the number of atoms increases. The SRPT can also be interpreted
intuitively in a classical analysis.


title: Barbero's formulation from a $BF$-type action with the Immirzi parameter

abstract:
  Starting from a constrained real $BF$-type action for general relativity that
includes both the Immirzi parameter and the cosmological constant, we obtain
the Ashtekar-Barbero variables used in the canonical approach to the
quantization of the gravitational field. This is accomplished by explicitly
solving the second-class constraints resulting from the Hamiltonian analysis of
the considered action, and later imposing the time gauge. All throughout this
work the tetrad formalism is left aside, obtaining the Ashtekar-Barbero
variables entirely in terms of the $B$-fields that define the action.


title:
Design and Analysis of Optimal Threshold Offloading (OTO) Algorithm for
  LTE Femtocell/Macrocell Networks

abstract:
  LTE femtocells have been widely deployed to increase network capacity and to
offload mobile data traffic from macrocells. While cellular users' mobility
behaviors are taken into consideration, a dilemma is formed: Should a User
Equipment (UE) either handover into a femtocell or keep the current connection
with a macrocell? Indeed, various user mobility behaviors may incur significant
signaling overhead and degrade femtocell offloading capability due to frequent
handover in/out femtocells. To address this dilemma, in this paper we propose
an Optimal Threshold Offloading (OTO) algorithm considering the tradeoff
between the signaling overhead and femtocell offloading capability. We develop
an analytical model and define two performance metrics to quantify the
tradeoff. The proposed model not only models user mobility behaviors but also
captures femtocell offloading benefits, and shed light on their fundamental
relationship. The correctness of analytical model and simulation model are
cross-validated by extensive ns2 simulations. Both analytical and simulation
results demonstrate that the OTO algorithm can significantly reduce signaling
overhead at the minor cost of femtocell offloading capability. The results
enable wide applicability in various scenarios, and therefore, have important
theoretical significance. Moreover, the analytical results provide a quick way
to evaluate signaling overhead and offloading capability in LTE networks
without wide deployment, saving on cost and time.


title: Conformal graph directed Markov systems on Carnot groups

abstract:
  We develop a comprehensive theory of conformal graph directed Markov systems
in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian
metric. In particular, we develop the thermodynamic formalism and show that,
under natural hypotheses, the limit set of an Carnot conformal GDMS has
Hausdorff dimension given by Bowen's parameter. We illustrate our results for a
variety of examples of both linear and nonlinear iterated function systems and
graph directed Markov systems in such sub-Riemannian spaces. These include the
Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as
Kleinian and Schottky groups associated to the non-real classical rank one
hyperbolic spaces.


title: Long-time asymptotics of solutions of the heat equation

abstract:
  The long-time asymptotics of solutions of the Cauchy problem for the heat
equation are constructed in the case when the initial function at infinity has
power asymptotics.


title: Radiative Type III Seesaw Model and its collider phenomenology

abstract:
  We analyze the present bounds of a scotogenic model, the Radiative Type III
Seesaw (RSIII), in which an additional scalar doublet and at least two fermion
triplets of $SU(2)_L$ are added to the Standard Model (SM). In the RSIII the
new physics (NP) sector is odd under an exact global $Z_2$ symmetry. This
symmetry guaranties that the lightest NP neutral particle is stable, providing
a natural dark matter (DM) candidate, and leads to naturally suppressed
neutrino masses generated by a one-loop realization of an effective Weinberg
operator. We focus on the region with the highest sensitivity in present and
future LHC searches, with light scalar DM and at least one NP fermion triplet
at the sub-TeV scale. This region allows for significant production
cross-sections of NP fermion pairs at the LHC. We reinterpret a set of searches
for supersymmetric particles at the LHC obtained using the package CheckMATE,
to set limits on our model as a function of the masses of the NP particles and
their Yukawa interactions. The most sensitive search channel is found to be
dileptons plus missing transverse energy. In order to target the case of tau
enhanced decays and the case of compressed spectra we reinterpret the recent
slepton and chargino search bounds by ATLAS. For a lightest NP fermion triplet
with a maximal branching ratio to either electrons or muons we exclude NP
fermion masses of up to 650 GeV, while this bound is reduced to approximately
400 GeV in the tau-philic case. Allowing for a general flavor structure we set
limits on the Yukawa couplings, which are directly related to the neutrino
flavor structure.


title:
Mining Discriminative Triplets of Patches for Fine-Grained
  Classification

abstract:
  Fine-grained classification involves distinguishing between similar
sub-categories based on subtle differences in highly localized regions;
therefore, accurate localization of discriminative regions remains a major
challenge. We describe a patch-based framework to address this problem. We
introduce triplets of patches with geometric constraints to improve the
accuracy of patch localization, and automatically mine discriminative
geometrically-constrained triplets for classification. The resulting approach
only requires object bounding boxes. Its effectiveness is demonstrated using
four publicly available fine-grained datasets, on which it outperforms or
achieves comparable performance to the state-of-the-art in classification.


title: Growth in higher Baumslag-Solitar groups

abstract:
  We study the HNN extension of $\mathbb{Z}^m$ given by the cubing endomorphism
$g\mapsto g^3$, and prove that such groups have rational growth. To do so, we
describe a method of computing the subgroup growth series of the horocyclic
subgroup $\mathbb{Z}^m$ in this family of examples, prove that for all $m$ the
group has rational growth. In the appendix, the subgroup growth series has been
computed for all $m \leq 10$.


title:
The Formation and Early Evolution of a Coronal Mass Ejection and its
  Associated Shock Wave on 2014 January 8

abstract:
  In this paper, we study the formation and early evolution of a limb coronal
mass ejection (CME) and its associated shock wave that occurred on 2014 January
8. The extreme ultraviolet (EUV) images provided by the Atmospheric Imaging
Assembly (AIA) on board \textit{Solar Dynamics Observatory} disclose that the
CME first appears as a bubble-like structure. Subsequently, its expansion forms
the CME and causes a quasi-circular EUV wave. Interestingly, both the CME and
the wave front are clearly visible at all of the AIA EUV passbands. Through a
detailed kinematical analysis, it is found that the expansion of the CME
undergoes two phases: a first phase with a strong but transient lateral
over-expansion followed by a second phase with a self-similar expansion. The
temporal evolution of the expansion velocity coincides very well with the
variation of the 25--50 keV hard X-ray flux of the associated flare, which
indicates that magnetic reconnection most likely plays an important role in
driving the expansion. Moreover, we find that, when the velocity of the CME
reaches $\sim$600 km s$^{-1}$, the EUV wave starts to evolve into a shock wave,
which is evidenced by the appearance of a type II radio burst. The shock's
formation height is estimated to be $\sim$0.2$R_{sun}$, which is much lower
than the height derived previously. Finally, we also study the thermal
properties of the CME and the EUV wave. We find that the plasma in the CME
leading front and the wave front has a temperature of $\sim$2 MK, while that in
the CME core region and the flare region has a much higher temperature of
$\ge$8 MK.


title: Deep Motif: Visualizing Genomic Sequence Classifications

abstract:
  This paper applies a deep convolutional/highway MLP framework to classify
genomic sequences on the transcription factor binding site task. To make the
model understandable, we propose an optimization driven strategy to extract
"motifs", or symbolic patterns which visualize the positive class learned by
the network. We show that our system, Deep Motif (DeMo), extracts motifs that
are similar to, and in some cases outperform the current well known motifs. In
addition, we find that a deeper model consisting of multiple convolutional and
highway layers can outperform a single convolutional and fully connected layer
in the previous state-of-the-art.


title:
Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$
  configuration

abstract:
  In the framework of the color-magnetic interaction, we systematically
investigate the mass spectrum of the tetraquark states composed of four heavy
quarks with the $QQ\bar Q\bar Q$ configuration in this work. We also show their
strong decay patterns. Stable or narrow states in the $bb\bar{b}\bar{c}$ and
$bc\bar{b}\bar{c}$ systems are found to be possible. We hope the studies shall
be helpful to the experimental search for heavy-full exotic tetraquark states.


title:
Nonreciprocity light propagation in coupled microcavities system beyond
  weak-excitation approximation

abstract:
  We propose an alternative scheme for nonreciprocal light propagation in two
coupled cavities system, in which a two-level quantum emitter is coupled to one
of the optical microcavities. For the case of parity-time (\textrm{PT}) system
(i.e., active-passive coupled cavities system), the cavity gain can
significantly enhance the optical nonlinearity induced by the interaction
between a quantum emitter and cavity field beyond weak-excitation
approximation. The giant optical nonlinearity results in the non-lossy
nonreciprocal light propagation with high isolation ratio in proper parameters
range. In addition, our calculations show that nonreciprocal light propagation
will not be affected by the unstable output field intensity caused by optical
bistability and we can even switch directions of nonreciprocal light
propagation by appropriately adjusting the system parameters.


title: Atomically Thin Boron Nitride: Unique Properties and Applications

abstract:
  Atomically thin boron nitride (BN) is an important two-dimensional (2D)
nanomaterial, with many properties distinct from graphene. In this feature
article, these unique properties and associated applications often not possible
from graphene are outlined. The article starts with characterization and
identification of atomically thin BN. It is followed by demonstrating their
strong oxidation resistance at high temperatures and applications in protecting
metals from oxidation and corrosion. As flat insulators, BN nanosheets are
ideal dielectric substrates for surface enhanced Raman spectroscopy (SERS) and
electronic devices based on 2D heterostructures. The light emission of BN
nanosheets in the deep ultraviolet (DUV) and ultraviolet (UV) regions are also
included for its scientific and technological importance. The last part is
dedicated to synthesis, characterization, and optical properties of BN
nanoribbons, a special form of nanosheets.


title:
Spontaneous emission and the operation of invisibility cloaks: Can the
  invisibility cloaks render objects invisible in quantum mechanic domain?

abstract:
  As a probe to explore the ability of invisibility cloaks to conceal objects
in the quantum mechanics domain, we study the spontaneous emission rate of an
excited two-level atom in the vicinity of an ideal invisibility cloaking. On
this base, first, a canonical quantization scheme is presented for the
electromagnetic field interacting with atomic systems in an anisotropic,
inhomogeneous and absorbing magnetodielectric medium which can suitably be used
for studying the influence of arbitrary invisibility cloak on the atomic
radiative properties. The time dependence of the atomic subsystem is obtained
in the Schrodinger picture. By introducing a modified set of the spherical wave
vector functions, the Green tensor of the system is calculated via the
continuous and discrete methods. In this formalism, the decay rate and as well
the emission pattern of the aforementioned atom are computed analytically for
both weak and strong coupling interaction, and then numerically calculations
are done to demonstrate the performances of cloaking in the quantum mechanics
domain. Special attention is paid to different possible orientations and
locations of atomic system near the spherical invisibility cloaking. Results in
the presence and the absence of the invisibility cloak are compared. We find
that the cloak works very well far from its resonance frequency to conceal a
macroscopic object, whereas at near the resonance frequency the object is more
visible than the situation that the object is not covered by the cloak.


title:
A Comparative Evaluation of Approximate Probabilistic Simulation and
  Deep Neural Networks as Accounts of Human Physical Scene Understanding

abstract:
  Humans demonstrate remarkable abilities to predict physical events in complex
scenes. Two classes of models for physical scene understanding have recently
been proposed: "Intuitive Physics Engines", or IPEs, which posit that people
make predictions by running approximate probabilistic simulations in causal
mental models similar in nature to video-game physics engines, and memory-based
models, which make judgments based on analogies to stored experiences of
previously encountered scenes and physical outcomes. Versions of the latter
have recently been instantiated in convolutional neural network (CNN)
architectures. Here we report four experiments that, to our knowledge, are the
first rigorous comparisons of simulation-based and CNN-based models, where both
approaches are concretely instantiated in algorithms that can run on raw image
inputs and produce as outputs physical judgments such as whether a stack of
blocks will fall. Both approaches can achieve super-human accuracy levels and
can quantitatively predict human judgments to a similar degree, but only the
simulation-based models generalize to novel situations in ways that people do,
and are qualitatively consistent with systematic perceptual illusions and
judgment asymmetries that people show.


title: Thomae formula for $2$ Abelian covers of $\mathbb{CP}^1$

abstract:
  Let $X$ be an Abelian cover $\mathbb{CP}^{1}$ ramified at $mr$ points,
$\lambda_1...\lambda_{mr}.$ we define a class of non positive divisors on $X$
of degree $g-1$ supported in the pre images of the branch points on $X$, such
that the Riemann theta function doesn't vanish on their image in $J(X).$ We
obtain a Thomae formula similar to the formulas [BR],[Na],[Z] ,[EG] and [Ko].
We show that up to a certain determinant of the non standard periods of $X$,
the value of the Riemann theta function at these divisors raised to a high
enough power is a polynomial in the branch point of the curve $X.$ Our approach
is based on a refinement of Accola's results and Nakayashiki's approach
explained in [Na] for Abelian covers.


title: Tracing the Milky Way Nuclear Wind with 21cm Atomic Hydrogen Emission

abstract:
  There is evidence in 21cm HI emission for voids several kpc in size centered
approximately on the Galactic centre, both above and below the Galactic plane.
These appear to map the boundaries of the Galactic nuclear wind. An analysis of
HI at the tangent points, where the distance to the gas can be estimated with
reasonable accuracy, shows a sharp transition at Galactic radii $R\lesssim 2.4$
kpc from the extended neutral gas layer characteristic of much of the Galactic
disk, to a thin Gaussian layer with FWHM $\sim 125$ pc. An anti-correlation
between HI and $\gamma$-ray emission at latitudes $10^{\circ} \leq |b| \leq
20^{\circ}$ suggests that the boundary of the extended HI layer marks the walls
of the Fermi Bubbles. With HI we are able to trace the edges of the voids from
$|z| > 2$ kpc down to $z\approx0$, where they have a radius $\sim 2$ kpc. The
extended HI layer likely results from star formation in the disk, which is
limited largely to $R \gtrsim 3$ kpc, so the wind may be expanding into an area
of relatively little HI. Because the HI kinematics can discriminate between gas
in the Galactic center and foreground material, 21cm HI emission may be the
best probe of the extent of the nuclear wind near the Galactic plane.


title:
Texture Synthesis Through Convolutional Neural Networks and Spectrum
  Constraints

abstract:
  This paper presents a significant improvement for the synthesis of texture
images using convolutional neural networks (CNNs), making use of constraints on
the Fourier spectrum of the results. More precisely, the texture synthesis is
regarded as a constrained optimization problem, with constraints conditioning
both the Fourier spectrum and statistical features learned by CNNs. In contrast
with existing methods, the presented method inherits from previous CNN
approaches the ability to depict local structures and fine scale details, and
at the same time yields coherent large scale structures, even in the case of
quasi-periodic images. This is done at no extra computational cost. Synthesis
experiments on various images show a clear improvement compared to a recent
state-of-the art method relying on CNN constraints only.


title:
Separations in communication complexity using cheat sheets and
  information complexity

abstract:
  While exponential separations are known between quantum and randomized
communication complexity for partial functions (Raz, STOC 1999), the best known
separation between these measures for a total function is quadratic, witnessed
by the disjointness function. We give the first super-quadratic separation
between quantum and randomized communication complexity for a total function,
giving an example exhibiting a power 2.5 gap. We further present a 1.5 power
separation between exact quantum and randomized communication complexity,
improving on the previous ~1.15 separation by Ambainis (STOC 2013). Finally, we
present a nearly optimal quadratic separation between randomized communication
complexity and the logarithm of the partition number, improving upon the
previous best power 1.5 separation due to G\"o\"os, Jayram, Pitassi, and
Watson.
  Our results are the communication analogues of separations in query
complexity proved using the recent cheat sheet framework of Aaronson,
Ben-David, and Kothari (STOC 2016). Our main technical results are randomized
communication and information complexity lower bounds for a family of
functions, called lookup functions, that generalize and port the cheat sheet
framework to communication complexity.


title: Spectra of fuzzy sets of $S^1$

abstract:
  In this article we explore some aspects of Fourier analysis on fuzzy sets.
This work was part of a broader project jointly with Professor Vittorio Cafagna
which spanned over a few years between 1998 and 2005. Professor Cafagna passed
away unexpectedly in 2007. His intellectual breadth and inspiring passion for
mathematics is still very well alive today.


title: The length, width, and inradius of space curves

abstract:
  The width $w$ of a curve $\gamma$ in Euclidean space $R^n$ is the infimum of
the distances between all pairs of parallel hyperplanes which bound $\gamma$,
while its inradius $r$ is the supremum of the radii of all spheres which are
contained in the convex hull of $\gamma$ and are disjoint from $\gamma$. We use
a mixture of topological and integral geometric techniques, including an
application of Borsuk Ulam theorem due to Wienholtz and Crofton's formulas, to
obtain lower bounds on the length of $\gamma$ subject to constraints on $r$ and
$w$. The special case of closed curves is also considered in each category. Our
estimates confirm some conjectures of Zalgaller up to $99\%$ of their stated
value, while we also disprove one of them.


title:
The Beilinson Conjectures for CM Elliptic Curves via Hypergeometric
  Functions

abstract:
  We consider certain CM elliptic curves which are related to Fermat curves,
and express the values of $L$-functions at $s=2$ in terms of special values of
generalized hypergeometric functions. We compare them and a similar result of
Rogers-Zudilin with Otsubo's regulator formulas, and give a new proof of the
Beilinson conjectures originally due to Bloch.


title: A note on Bayesian wavelet-based estimation of scaling

abstract:
  A number of phenomena in various fields such as geology, atmospheric
sciences, economics, to list a few, can be modeled as a fractional Brownian
motion indexed by Hurst exponent $H$. This exponent is related to the degree of
regularity and self-similarity present in the signal, and it often captures
important characteristics useful in various applications. Given its importance,
a number of methods have been developed for the estimation of the Hurst
exponent. Typically, the proposed methods do not utilize prior information
about scaling of a signal. Some signals are known to possess a theoretical
value of the Hurst exponent, which motivates us to propose a Bayesian approach
that incorporates this information via a suitable elicited prior distribution
on $H$.
  This significantly improves the accuracy of the estimation, as we demonstrate
by simulations. Moreover, the proposed method is robust to small
misspecifications of the prior location. The proposed method is applied to a
turbulence time series for which Hurst exponent is theoretically known by
Kolmogorov's K41 theory.


title:
Insight into the magnetism of a distorted Kagome lattice, Dy3Ru4Al12,
  based on polycrystalline studies

abstract:
  The layered compound with distorted Kagome nets, Dy3Ru4Al12, was previously
reported to undergo antiferromagnetic ordering below (TN=) 7 K, based on
investigations on single crystals. Here, we report the results of our
investigation of ac and dc magnetic susceptibility (\c{hi}), isothermal remnant
magnetization (MIRM), heat-capacity, magnetocaloric effect and
magnetoresistance measurements on polycrystals. The present results reveal that
there is an additional magnetic anomaly around 20 K, as though the N\'eel order
is preceded by the formation of ferromagnetic clusters. We attribute this
feature to geometric frustration of magnetism. In view of the existence of this
phase, the interpretation of the linear-term in the heat-capacity in terms of
spin-fluctuations from the Ru 4d band needs to be revisited. Additionally, in
the vicinity of TN, AC \c{hi} shows a prominent frequency dependence and, below
TN, MIRM exhibits a slow decay with time. This raises a question whether the
antiferromagnetic structure in this compound is characterized by
spin-glass-like dynamics. In contrast to what was reported earlier, there is a
change in the sign of the magnetoresistance (MR) at the metamagnetic
transition. A butter-fly-shaped (isothermal) MR loop (interestingly spanning
over all the four quadrants) is observed at 2 K with distinct evidence for the
magnetic phase co-existence phenomenon in zero field after travelling through
metamagnetic transition field. The results on polycrystals thus provide
additional information about the magnetism of this compound, revealing that the
magnetism of this compound is more complex than what is believed, due to
geometric frustration intrinsic to Kagome net.


title:
Organic Primitives: Synthesis and Design of pH-Reactive Materials using
  Molecular I/O for Sensing, Actuation, and Interaction

abstract:
  In this paper we present Organic Primitives, an enabling toolbox that expands
upon the library of input-output devices in HCI and facilitates the design of
interactions with organic, fluid-based systems. We formulated color, odor and
shape changing material primitives which act as sensor-actuators that convert
pH signals into human-readable outputs. Food-grade organic molecules
anthocyanin, vanillin, and chitosan were employed as dopants to synthesize
materials which output a spectrum of colors, degrees of shape deformation, and
switch between odorous and non-odorous states. We evaluated the individual
output properties of our sensor-actuators to assess the rate, range, and
reversibility of the changes as a function of pH 2-10. We present a design
space with techniques for enhancing the functionality of the material
primitives, and offer passive and computational methods for controlling the
material interfaces. Finally, we explore applications enabled by Organic
Primitives under four contexts: environmental, cosmetic, edible, and
interspecies.


title:
Transverse Momentum Dependent Parton Distributions with self-similarity
  at small $x$ and models of proton structure function

abstract:
  In this paper we make re-analysis of a self-similarity based model of the
proton structure function at small $x$ pursued in recent years. The additional
assumption is that it should be singularity free in the entire kinematic range
$0\leq \textit{x}\leq 1$. Our analysis indicates that the singularity free
version of the model is valid in a more restrictive range of $Q^{2}$. We then
analyse the defining Transverse Momentum Dependent Parton Distributions (TMD)
occurred in the models and show that the proper generalizations and initial
conditions on them not only remove the undesired singularity but also results
in a QCD compatible structure function with logarithmic growth in $Q^2$. The
phenomenological range of validity is then found to be much larger than the
earlier versions. We also extrapolate the models to large $x$ in a parameter
free way.


title: Optimized Markov State Models for Metastable Systems

abstract:
  A method is proposed to identify target states that optimize a metastability
index amongst a set of trial states and use these target states as milestones
(or core sets) to build Markov State Models (MSMs). If the optimized
metastability index is small, this automatically guarantees the accuracy of the
MSM, in the sense that the transitions between the target milestones is indeed
approximately Markovian. The method is simple to implement and use, it does not
require that the dynamics on the trial milestones be Markovian, and it also
offers the possibility to partition the system's state-space by assigning every
trial milestone to the target milestones it is most likely to visit next and to
identify transition state regions. Here the method is tested on the Gly-Ala-Gly
peptide, where it shown to correctly identify the expected metastable states in
the dihedral angle space of the molecule without \textit{a~priori} information
about these states. It is also applied to analyze the folding landscape of the
Beta3s mini-protein, where it is shown to identify the folded basin as a
connecting hub between an helix-rich region, which is entropically stabilized,
and a beta-rich region, which is energetically stabilized and acts as a kinetic
trap.


title: ICT and Health System Performance in Africa: A Multi-Method Approach

abstract:
  For the past two decades, the discussion regarding the effect of ICT on
health systems is becoming apparent. However, past studies have mainly focused
on ICT impact on specific social-economic phenomena. Little empirical research
on ICT and health systems exists. Many African countries have invested in ICT
and there is a need to examine if such investments have impacted on health
system of these countries. Using a multi-method approach, data for 27 African
countries were analysed. We employed Data Envelopment Analysis, Cluster
Analysis and Partial Least Squares to examine the impact. The findings indicate
that the 27 countries can be grouped into three clusters based on their
relative efficiency scores of ICT and health systems. More compelling, the
findings indicate that countries that performed efficiently in ICT inputs also
do so in their health systems. Further, findings indicate that ICT
significantly improves life expectancy at birth and reduces infant mortality
rate. African countries must significantly invest in ICT to improve their
health systems so as to achieve socio-economic development. The current study
has theoretical, methodological and policy implications.


title:
Hyperons in neutron stars within Eddington-inspired Born-Infeld theory
  of gravity

abstract:
  We investigate the mass-radius relation of neutron star (NS) with hyperons
inside its core by using the Eddington-inspired Born-Infeld (EiBI) theory of
gravity. The equation of state of the star is calculated by using the
relativistic mean field model under which the standard SU(6) prescription and
hyperons potential depths are used to determine the hyperon coupling constants.
We found that, for $4\times 10^{6}~\rm{m^2}~\lesssim~\kappa \lesssim~6\times
10^{6}~\rm{m^2}$, the corresponding NS mass and radius predicted by the EiBI
theory of gravity is compatible with observational constraints of maximum NS
mass and radius. The corresponding $\kappa$ value is also compatible with the
$\kappa$ range predicted by the astrophysical-cosmological constraints. We also
found that the parameter $\kappa$ could control the size and the compactness of
a neutron star.


title: Structural Synthesis for GXW Specifications

abstract:
  We define the GXW fragment of linear temporal logic (LTL) as the basis for
synthesizing embedded control software for safety-critical applications. Since
GXW includes the use of a weak-until operator we are able to specify a number
of diverse programmable logic control (PLC) problems, which we have compiled
from industrial training sets. For GXW controller specifications, we develop a
novel approach for synthesizing a set of synchronously communicating
actor-based controllers. This synthesis algorithm proceeds by means of
recursing over the structure of GXW specifications, and generates a set of
dedicated and synchronously communicating sub-controllers according to the
formula structure. In a subsequent step, 2QBF constraint solving identifies and
tries to resolve potential conflicts between individual GXW specifications.
This structural approach to GXW synthesis supports traceability between
requirements and the generated control code as mandated by certification
regimes for safety-critical software. Synthesis for GXW specifications is in
PSPACE compared to 2EXPTIME-completeness of full-fledged LTL synthesis. Indeed
our experimental results suggest that GXW synthesis scales well to
industrial-sized control synthesis problems with 20 input and output ports and
beyond.


title:
Quark Matter at High Density based on Extended
  Confined-isospin-density-dependent-mass Model

abstract:
  We investigate the effect of the inclusion of relativistic Coulomb terms in a
confined-isospin-density-dependent-mass (CIDDM) model of strange quark matter
(SQM). We found that if we include Coulomb term in scalar density form, SQM
equation of state (EOS) at high densities is stiffer but if we include Coulomb
term in vector density form is softer than that of standard CIDDM model. We
also investigate systematically the role of each term of the extended CIDDM
model. Compared with what was reported in Ref.~\cite {ref:isospin}, we found
the stiffness of SQM EOS is controlled by the interplay among the the
oscillator harmonic, isospin asymmetry and Coulomb contributions depending on
the parameter's range of these terms. We have found that the absolute stable
condition of SQM and the mass of 2 $M_\odot$ pulsars can constrain the
parameter of oscillator harmonic $\kappa_1$ $\approx 0.53$ in the case Coulomb
term excluded. If the Coulomb term is included, for the models with their
parameters are consistent with SQM absolute stability condition, the
$2.0~M_{\odot}$ constraint more prefer the maximum mass prediction of model
with scalar Coulomb term than that of model with vector Coulomb term. On
contrary, the high densities EOS predicted by model with vector Coulomb is more
compatible with recent pQCD result \cite{ref:pressure} than that predicted by
model with scalar Coulomb. Furthermore, we also observed the quark composition
in a very high density region depends quite sensitively on the kind of Coulomb
term used.


title:
The contributions of surface charge and geometry to protein-solvent
  interaction

abstract:
  To better understand protein-solvent interaction we have analyzed a variety
of physical and geometrical properties of the solvent-excluded surfaces (SESs)
over a large set of soluble proteins with crystal structures. We discover that
all have net negative surface charges and permanent electric dipoles. Moreover
both SES area and surface charge as well as several physical and geometrical
properties defined by them change with protein size via well-fitted power laws.
The relevance to protein-solvent interaction of these physical and geometrical
properties is supported by strong correlations between them and known
hydrophobicity scales and by their large changes upon protein unfolding. The
universal existence of negative surface charge and dipole, the characteristic
surface geometry and power laws reveal fundamental but distinct roles of
surface charge and SES in protein-solvent interaction and make it possible to
describe solvation and hydrophobic effect using theories on anion solute in
protic solvent. In particular the great significance of surface charge for
protein-solvent interaction suggests that a change of perception may be needed
since from solvation perspective folding into a native state is to optimize
surface negative charge rather than to minimize the hydrophobic surface area.


title:
Application of Deep Convolutional Neural Networks for Detecting Extreme
  Weather in Climate Datasets

abstract:
  Detecting extreme events in large datasets is a major challenge in climate
science research. Current algorithms for extreme event detection are build upon
human expertise in defining events based on subjective thresholds of relevant
physical variables. Often, multiple competing methods produce vastly different
results on the same dataset. Accurate characterization of extreme events in
climate simulations and observational data archives is critical for
understanding the trends and potential impacts of such events in a climate
change content. This study presents the first application of Deep Learning
techniques as alternative methodology for climate extreme events detection.
Deep neural networks are able to learn high-level representations of a broad
class of patterns from labeled data. In this work, we developed deep
Convolutional Neural Network (CNN) classification system and demonstrated the
usefulness of Deep Learning technique for tackling climate pattern detection
problems. Coupled with Bayesian based hyper-parameter optimization scheme, our
deep CNN system achieves 89\%-99\% of accuracy in detecting extreme events
(Tropical Cyclones, Atmospheric Rivers and Weather Fronts


title:
Classically conformal U(1)' extended standard model, electroweak vacuum
  stability, and LHC Run-2 bounds

abstract:
  We consider the minimal U(1)' extension of the standard model (SM) with the
classically conformal invariance, where an anomaly-free U(1)' gauge symmetry is
introduced along with three generations of right-handed neutrinos and a U(1)'
Higgs field. Since the classically conformal symmetry forbids all dimensional
parameters in the model, the U(1)' gauge symmetry is broken by the
Coleman-Weinberg mechanism, generating the mass terms of the U(1)' gauge boson
($Z$' boson) and the right-handed neutrinos. Through a mixing quartic coupling
between the U(1)' Higgs field and the SM Higgs doublet field, the radiative
U(1)' gauge symmetry breaking also triggers the breaking of the electroweak
symmetry. In this model context, we first investigate the electroweak vacuum
instability problem in the SM. Employing the renormalization group equations at
the two-loop level and the central values for the world average masses of the
top quark ($m_t=173.34$ GeV) and the Higgs boson ($m_h=125.09$ GeV), we perform
parameter scans to identify the parameter region for resolving the electroweak
vacuum instability problem. Next we interpret the recent ATLAS and CMS search
limits at the LHC Run-2 for the sequential $Z$' boson to constrain the
parameter region in our model. Combining the constraints from the electroweak
vacuum stability and the LHC Run-2 results, we find a bound on the $Z$' boson
mass as $m_{Z'} \gtrsim 3.5$ TeV. We also calculate self-energy corrections to
the SM Higgs doublet field through the heavy states, the right-handed neutrinos
and the $Z$' boson, and find the naturalness bound as $m_{Z'} \lesssim 7$ TeV,
in order to reproduce the right electroweak scale for the fine-tuning level
better than 10\%. The resultant mass range of $3.5$ TeV $\lesssim m_{Z'}
\lesssim 7$ TeV will be explored at the LHC Run-2 in the near future.


title:
Geometric structures of late points of a two-dimensional simple random
  walk

abstract:
  We consider the problem, as suggested by Dembo ($2003$, $2006$), of late
points of a simple random walk in two dimensions. It has been shown that the
exponents for the numbers of pairs of late points coincide with those of nearly
favorite points and high points in the Gaussian free field, whose exact values
are known. We estimate the exponents for the numbers of a multipoint set of
late points in average. While there have been observed certain similarities
between among three classes of points, our results exhibit a difference.


title: Exact spectral densities of complex noise-plus-structure random matrices

abstract:
  We use supersymmetry to calculate exact spectral densities for a class of
complex random matrix models having the form $M=S+LXR$, where $X$ is a random
noise part $X$ and $S,L,R$ are fixed structure parts. This is a certain version
of the "external field" random matrix models. We found two-fold integral
formulas for arbitrary structural matrices. We investigate some special cases
in detail and carry out numerical simulations. The presence or absence of a
normality condition on $S$ leads to a qualitatively different behavior of the
eigenvalue densities.


title:
Successive Interference Cancellation in Bipolar Ad Hoc Networks with
  SWIPT

abstract:
  Successive interference cancellation (SIC) is based on the idea that some
interfering signals may be strong enough to decode in order to be removed from
the aggregate received signal and thus boost performance. In this letter, we
study the SIC technique from a simultaneous wireless information and power
transfer (SWIPT) standpoint. We consider a bipolar ad hoc network and evaluate
the impact of SIC on the SWIPT performance for the power splitting technique.
Theoretical and numerical results show that our proposed approach can achieve
significant energy gains and under certain scenarios the average harvested
energy converges to its upper bound.


title:
Parabolic conformally symplectic structures I; definition and
  distinguished connections

abstract:
  We introduce a class of first order G-structures, each of which has an
underlying almost conformally symplectic structure. There is one such structure
for each real simple Lie algebra which is not of type $C_n$ and admits a
contact grading. We show that a structure of each of these types on a smooth
manifold $M$ determines a canonical compatible linear connection on the tangent
bundle $TM$. This connection is characterized by a normalization condition on
its torsion. The algebraic background for this result is proved using Kostant's
theorem on Lie algebra cohomology.
  For each type, we give an explicit description of both the geometric
structure and the normalization condition. In particular, the torsion of the
canonical connection naturally splits into two components, one of which is
exactly the obstruction to the underlying structure being conformally
symplectic. This article is the first in a series aiming at a construction of
differential complexes naturally associated to these geometric structures.


title: Photometric variability of the nova-like object V380 Oph in 1976-2016

abstract:
  We combined photographic, photoelectric and CCD observations of the nova-like
variable V380 Oph to get a light curve spanning the time range of 40 years.
While the typical high-state brightness of V380 Oph was R~14.5, two
low-brightness episodes identified in 1979 (B_pg~17.5) and 2015 (R~19) confirm
its classification as a VY Scl-type "anti-dwarf nova". The Fourier period
analysis of photoelectric and CCD V and B observations obtained in 2002-16
revealed the presence of two periods 0.148167d and 4.287d, that may be
associated with negative superhumps and disc precession. We also compared
measurements obtained with the iris micro-photometer and flatbed scanner at the
same plates and found an agreement within the expected accuracy of photographic
photometry.


title:
On the relationship between sunspot structure and magnetic field changes
  associated with solar flares

abstract:
  Many previous studies have shown that magnetic fields as well as sunspot
structures present rapid and irreversible changes associated with solar flares.
In this paper we first use five X-class flares observed by SDO/HMI to show that
not only the magnetic fields and sunspot structures do show rapid, irreversible
changes but also these changes are closely related, both spatially and
temporally. The magnitudes of the correlation coefficients between the temporal
variations of horizontal magnetic field and sunspot intensity are all larger
than 0.90, with a maximum value of 0.99 and an average value of 0.96. Then
using four active regions in quiescent times, three observed and one simulated,
we show that in sunspot penumbra regions there also exists a close correlation
between sunspot intensity and horizontal magnetic field strength, in addition
to the well-known one between sunspot intensity and normal magnetic field
strength. Connecting these two observational phenomena, we show that the
sunspot structure change and the magnetic field change are the two facets of
the same phenomena of solar flares, one change might be induced by the change
of the other due to a linear correlation between sunspot intensity and magnetic
field strength out of a local force balance.


title:
Direct observation of internal quantum transitions and femtosecond
  radiative decay of excitons in monolayer WSe_2

abstract:
  Atomically thin two-dimensional crystals have revolutionized materials
science. In particular, monolayer transition metal dichalcogenides promise
novel optoelectronic applications, due to their direct energy gaps in the
optical range. Their electronic and optical properties, however, are
complicated by exotic room-temperature excitons, whose fundamental structure
and dynamics has been under intense investigation. While interband spectroscopy
probes energies of excitons with vanishing centre-of-mass momenta, the majority
of excitons has remained elusive, raising questions about their unusual
internal structure, symmetry, many-body effects, and dynamics. Here we report
the first direct experimental access to all relevant excitons in single-layer
WSe2. Phase-locked mid-infrared pulses reveal the internal orbital 1s-2p
resonance, which is highly sensitive to the shape of the excitonic envelope
functions and provides accurate transition energies, oscillator strengths,
densities and linewidths. Remarkably, the observed decay dynamics indicates a
record fast radiative annihilation of small-momentum excitons within 150 fs,
whereas Auger recombination prevails for optically dark states. The results
provide a comprehensive view of excitons and introduce a new degree of freedom
for quantum control, optoelectronics and valleytronics of dichalcogenide
monolayers.


title:
Estimating stellar effective temperatures and detected angular
  parameters using stochastic particle swarm optimization

abstract:
  Considering features of stellar spectral radiation and survey explorers, we
established a computational model for stellar effective temperatures, detected
angular parameters, and gray rates. Using known stellar flux data in some band,
we estimated stellar effective temperatures and detected angular parameters
using stochastic particle swarm optimization (SPSO). We first verified the
reliability of SPSO, and then determined reasonable parameters that produced
highly accurate estimates under certain gray deviation levels. Finally, we
calculated 177,860 stellar effective temperatures and detected angular
parameters using the Midcourse Space Experiment (MSX) catalog data. These
derived stellar effective temperatures were accurate when we compared them to
known values from literatures. This research made full use of catalog data and
presented an original technique for studying stellar characteristics. It
proposed a novel method for calculating stellar effective temperatures and
detected angular parameters, and provided theoretical and practical data
support for finding radiation flow information for any band.


title: z-Classes in finite groups of conjugate type (n,1)

abstract:
  Two elements in a group $G$ are said to $z$-equivalent or to be in the same
$z$-class if their centralizers are conjugate in $G$. In \cite{kkj}, it was
proved that a non-abelian $p$-group $G$ can have at most $\frac{p^k-1}{p-1} +1$
number of $z$-classes, where $|G/Z(G)|=p^k$. In this note, we characterize the
$p$-groups of conjugate type $(n,1)$ attaining this maximal number. As a
corollary, we characterize $p$-groups having prime order commutator subgroup
and maximal number of $z$-classes.


title: Model sets with positive entropy in Euclidean cut and project schemes

abstract:
  We construct model sets arising from cut and project schemes in Euclidean
spaces whose associated Delone dynamical systems have positive toplogical
entropy. The construction works both with windows that are proper and with
windows that have empty interior. In a probabilistic construction, the entropy
almost surely turns out to be proportional to the measure of the boundary of
the window.


title:
A Qualitative Comparison of MPSoC Mobile and Embedded Virtualization
  Techniques

abstract:
  Virtualization is generally adopted in server and desktop environments to
provide for fault tolerance, resource management, and energy efficiency.
Virtualization enables parallel execution of multiple operating systems (OSs)
while sharing the hardware resources. Virtualization was previously not deemed
as feasible technology for mobile and embedded devices due to their limited
processing and memory resource. However, the enterprises are advocating Bring
Your Own Device (BYOD) applications that enable co-existence of heterogeneous
OSs on a single mobile device. Moreover, embedded device require virtualization
for logical isolation of secure and general purpose OSs on a single device. In
this paper, we investigate the processor architectures in the mobile and
embedded space while examining their formal visualizability. We also compare
the virtualization solutions enabling coexistence of multiple OSs in Multicore
Processor System-on-Chip (MPSoC) mobile and embedded systems. We advocate that
virtualization is necessary to manage resource in MPSoC designs and to enable
BYOD, security, and logical isolation use cases.


title:
Topological Structure of the Vacuum, Cosmological Constant and Dark
  Energy

abstract:
  In this review we present a theory of cosmological constant and Dark Energy
(DE), based on the topological structure of the vacuum. The Multiple Point
Principle (MPP) is reviewed. It demonstrates the existence of the two vacua
into the SM. The Froggatt-Nielsen's prediction of the top-quark and Higgs
masses is given in the assumption that there exist two degenerate vacua in the
SM. This prediction was improved by the next order calculations. We also
considered B.G. Sidharth's theory of cosmological constant based on the
non-commutative geometry of the Planck scale space-time, what gives an
extremely small DE density providing the accelerating expansion of the
Universe. Theory of two degenerate vacua - the Planck scale phase and
Electroweak (EW) phase - also is reviewed, topological defects in these vacua
are investigated, also the Compton wavelength phase suggested by B.G. Sidharth
was discussed. A general theory of the phase transition and the problem of the
vacuum stability in the SM is reviewed. Assuming that the recently discovered
at the LHC new resonance with mass $m_S \simeq 750$ GeV is a new scalar $S$
bound state $6t + 6\bar t$, earlier predicted by C.D. Froggatt, H.B. Nielsen
and L.V. Laperashvili, we try to provide the vacuum stability in the SM and
exact accuracy of the MPP.


title:
A bound for the eigenvalue counting function for Krein--von Neumann and
  Friedrichs extensions

abstract:
  For an arbitrary open, nonempty, bounded set $\Omega \subset \mathbb{R}^n$,
$n \in \mathbb{N}$, and sufficiently smooth coefficients $a,b,q$, we consider
the closed, strictly positive, higher-order differential operator $A_{\Omega,
2m} (a,b,q)$ in $L^2(\Omega)$ defined on $W_0^{2m,2}(\Omega)$, associated with
the higher-order differential expression $$ \tau_{2m} (a,b,q) :=
\bigg(\sum_{j,k=1}^{n} (-i \partial_j - b_j) a_{j,k} (-i \partial_k -
b_k)+q\bigg)^m, \quad m \in \mathbb{N}, $$ and its Krein--von Neumann extension
$A_{K, \Omega, 2m} (a,b,q)$ in $L^2(\Omega)$. Denoting by $N(\lambda; A_{K,
\Omega, 2m} (a,b,q))$, $\lambda > 0$, the eigenvalue counting function
corresponding to the strictly positive eigenvalues of $A_{K, \Omega, 2m}
(a,b,q)$, we derive the bound $$ N(\lambda; A_{K, \Omega, 2m} (a,b,q)) \leq C
v_n (2\pi)^{-n} \bigg(1+\frac{2m}{2m+n}\bigg)^{n/(2m)} \lambda^{n/(2m)} , \quad
\lambda > 0, $$ where $C = C(a,b,q,\Omega)>0$ (with $C(I_n,0,0,\Omega) =
|\Omega|$) is connected to the eigenfunction expansion of the self-adjoint
operator $\widetilde A_{2m} (a,b,q)$ in $L^2(\mathbb{R}^n)$ defined on
$W^{2m,2}(\mathbb{R}^n)$, corresponding to $\tau_{2m} (a,b,q)$. Here $v_n :=
\pi^{n/2}/\Gamma((n+2)/2)$ denotes the (Euclidean) volume of the unit ball in
$\mathbb{R}^n$.
  Our method of proof relies on variational considerations exploiting the
fundamental link between the Krein--von Neumann extension and an underlying
abstract buckling problem, and on the distorted Fourier transform defined in
terms of the eigenfunction transform of $\widetilde A_{2} (a,b,q)$ in
$L^2(\mathbb{R}^n)$.
  We also consider the analogous bound for the eigenvalue counting function for
the Friedrichs extension $A_{F,\Omega, 2m} (a,b,q)$ in $L^2(\Omega)$ of
$A_{\Omega, 2m} (a,b,q)$.
  No assumptions on the boundary $\partial \Omega$ of $\Omega$ are made.


title: Reflection groups and discrete integrable systems

abstract:
  We present a method of constructing discrete integrable systems with
crystallographic reflection group (Weyl) symmetries, thus clarifying the
relationship between different discrete integrable systems in terms of their
symmetry groups. Discrete integrable systems are associated with space-filling
polytopes arise from the geometric representation of the Weyl groups in the
$n$-dimensional real Euclidean space $\mathbb{R}^n$. The "multi-dimensional
consistency" property of the discrete integrable system is shown to be
inherited from the combinatorial properties of the polytope; while the dynamics
of the system is described by the affine translations of the polytopes on the
weight lattices of the Weyl groups. The connections between some well-known
discrete systems such as the multi-dimensional consistent systems of
quad-equations \cite{abs:03} and discrete Painlev\'e equations \cite{sak:01}
are obtained via the geometric constraints that relate the polytope of one
symmetry group to that of another symmetry group, a procedure which we call
geometric reduction.


title: Approximate Euclidean Steiner Trees

abstract:
  An approximate Steiner tree is a Steiner tree on a given set of terminals in
Euclidean space such that the angles at the Steiner points are within a
specified error e from 120 degrees.This notion arises in numerical
approximations of minimum Steiner trees (W. D. Smith, Algorithmica, 7 (1992),
137--177). We investigate the worst-case relative error of the length of an
approximate Steiner tree compared to the shortest tree with the same
topology.Rubinstein, Weng and Wormald (J. Global Optim. 35 (2006), 573--592)
conjectured that this relative error is at most linear in $e$, independent of
the number of terminals. We verify their conjecture for the two-dimensional
case as long as the error $e$ is sufficiently small in terms of the number of
terminals. We derive a lower bound linear in $e$ for the relative error in the
two-dimensional case when $e$ is sufficiently small in terms of the number of
terminals. We find improved estimates of the relative error for larger values
of $e$, and calculate exact values in the plane for three and four terminals.


title:
On the Classifications of Scalar Evolution Equations with Non-constant
  Separant

abstract:
  The "separant" of the evolution equation u_t=F, where F is some
differentiable function of the derivatives of u up to order m is the partial
derivative \partial F}/{\partial u_m} where u_m={\partial^m u}/{\partial x}^m.
We apply the formal symmetry method proposed in [MSS (1991)] to the
classification of scalar evolution equations of orders m\le 15, with
non-trivial \rho^{(-1)}=\left[\partial F/\partial u_m\right]^{-1/m} and
rho^{(1). We obtain the "top level" parts of these equations and their "top
dependencies" with respect to the "level grading" defined in [Mizrahi, Bilge
(2013)]. We show that if rho^{(-1)} depends on u,u_1,\dots,u_b, where b is the
base level, then, these equations are level homogeneous polynomials in
u_{b+i},\dots ,u_m, i\ge 1 and the coefficient functions are determined up to
their dependencies on u,u_1,\dots,u_{b-1}. We prove that if \rho^{(3)} is
non-trivial, then \rho^{(-1)}=(\alpha u_b^2+\beta u_b+\gamma)^{1/2}, with b\le
3 while if \rho^{(3)} is trivial, then rho^{(-1)}=(\lambda u_b+\mu)^{1/3},
where b\le 5 and alpha, beta, gamma, lambda and mu are functions of
u,\dots,u_{b-1}. We show that these equations form commuting flows and we
construct their recursion operators that are respectively of orders 2 and 6 for
non-trivial and trivial rho^(3) respectively. Omitting lower order
dependencies, we show that equations with non-trivial rho^(3) and b=3 are
symmetries of the "essentially non-linear third order equation". For trivial
rho^(3), the equations with b=5 are symmetries of a non-quasilinear fifth order
equation obtained in [Bilge,(2005)] while for b=3,4 they are symmetries of
quasilinear fifth order equations and we outline the transformations to
polynomial equations where $u$ has zero scaling weight, suggesting that the
hierarchies that we obtain could be transformable to known equations possibly
by introducing non-locality.


title:
Distributional Behavior of Diffusion Coefficients Obtained by Single
  Trajectories in Annealed Transit Time Model

abstract:
  Local diffusion coefficients in disordered systems such as spin glass systems
and living cells are highly heterogeneous and may change over time. Such a
time-dependent and spatially heterogeneous environment results in
irreproducibility of single-particle-tracking measurements. Irreproducibility
of time-averaged observables has been theoretically studied in the context of
weak ergodicity breaking in stochastic processes. Here, we provide rigorous
descriptions of equilibrium and non-equilibrium diffusion processes for the
annealed transit time model, which is a heterogeneous diffusion model in living
cells. We give analytical solutions for the mean square displacement (MSD) and
the relative standard deviation of the time-averaged MSD for equilibrium and
non-equilibrium situations. We find that the time-averaged MSD grows linearly
with time and that the diffusion coefficients are intrinsically random in
non-equilibrium situations. Our findings pave the way for a theoretical
understanding of distributional behavior of the diffusion coefficients in
disordered systems.


title:
On some unexpected properties of radial and symmetric eigenvalues and
  eigenfunctions of the $p$-Laplacian on a disk

abstract:
  We discuss several properties of eigenvalues and eigenfunctions of the
$p$-Laplacian on a ball subject to zero Dirichlet boundary conditions. Among
main results, in two dimensions, we show the existence of nonradial
eigenfunctions which correspond to the radial eigenvalues. Also we prove the
existence of eigenfunctions whose shape of the nodal set cannot occur in the
linear case $p=2$. Moreover, the limit behavior of some eigenvalues as $p \to
1+$ and $p \to +\infty$ is studied.


title: On rigidity and convergence of circle patterns

abstract:
  Two planar embedded circle patterns with the same combinatorics and the same
intersection angles can be considered to define a discrete conformal map. We
show that two locally finite circle patterns covering the unit disc are related
by a hyperbolic isometry. Furthermore, we prove an analogous rigidity statement
for the complex plane if all exterior intersection angles of neighboring
circles are uniformly bounded away from $0$.
  Finally, we study a sequence of two circle patterns with the same
combinatorics each of which approximates a given simply connected domain.
Assume that all kites are convex and all angles in the kites are uniformly
bounded and the radii of one circle pattern converge to $0$. Then a subsequence
of the corresponding discrete conformal maps converges to a Riemann map between
the given domains.


title:
A metric on the space of finite sets of trajectories for evaluation of
  multi-target tracking algorithms

abstract:
  In this paper, we propose a metric on the space of finite sets of
trajectories for assessing multi-target tracking algorithms in a mathematically
sound way. The main use of the metric is to compare estimates of trajectories
from different algorithms with the ground truth of trajectories. The proposed
metric includes intuitive costs associated to localization error for properly
detected targets, missed and false targets and track switches at each time
step. The metric computation is based on solving a multi-dimensional assignment
problem. We also propose a lower bound for the metric, which is also a metric
for sets of trajectories and is computable in polynomial time using linear
programming. We also extend the proposed metrics on sets of trajectories to
random finite sets of trajectories.


title: Optimal Degrees of Freedom Region for the Asymmetric MIMO Y Channel

abstract:
  This letter studies the optimal degrees of freedom (DoF) region for the
asymmetric three-user MIMO Y channel with antenna configuration
$(M_1,M_2,M_3,N)$, where $M_i$ is the number of antennas at user $i$ and $N$ is
the number of antennas at the relay node. The converse is proved by using the
cut-set theorem and the genie-message approach. To prove the achievability, we
divide the DoF tuples in the outer bound into two cases. For each case, we show
that the DoF tuples are achievable by collectively utilizing antenna
deactivation, pairwise signal alignment and cyclic signal alignment techniques.
This work not only offers a complete characterization of DoF region for the
considered channel model, but also provides a new and elegant achievability
proof.


title:
Searches for top-Higgs FCNC couplings via the Whj signal with $h\to
  \gamma\gamma$ at the LHC

abstract:
  In this paper, we investigated the process $pp \to W^{-}hj$ induced by the
top-Higgs flavor changing neutral current (FCNC) couplings at the LHC. We found
that the cross section of $pp \to W^{-}hj$ mainly comes from the resonant
process $pp\to W^{-}t\to W^{-}hq$ due to the anomalous $tqH$ couplings (where
$q$ denotes up and charm quarks). We further studied the observability of the
top-Higgs FCNC couplings through the process $pp \to W^{-}(\to \ell^{-}
\bar{\nu}_{\ell}) h( \to \gamma\gamma) j$ and found that the branching ratios
$Br(t\to qh)$ can be probed to $0.16\%$ at $3\sigma$ level at 14 TeV LHC with
an integrated luminosity of 3000 fb$^{-1}$.


title: A Step from Probabilistic Programming to Cognitive Architectures

abstract:
  Probabilistic programming is considered as a framework, in which basic
components of cognitive architectures can be represented in unified and elegant
fashion. At the same time, necessity of adopting some component of cognitive
architectures for extending capabilities of probabilistic programming languages
is pointed out. In particular, implicit specification of generative models via
declaration of concepts and links between them is proposed, and usefulness of
declarative knowledge for achieving efficient inference is briefly discussed.


title: Deformed discrete symmetries

abstract:
  We construct discrete symmetry transformations for deformed relativistic
kinematics based on group valued momenta. We focus on the specific example of
kappa-deformations of the Poincare algebra with associated momenta living on (a
sub-manifold of) de Sitter space. Our approach relies on the description of
quantum states constructed from deformed kinematics and the observable charges
associated with them. The results we present provide the first step towards the
analysis of experimental bounds on the deformation parameter kappa to be
derived via precision measurements of discrete symmetries and CPT.


title:
On empirical cumulant generating functions of code lengths for
  individual sequences

abstract:
  We consider the problem of lossless compression of individual sequences using
finite-state (FS) machines, from the perspective of the best achievable
empirical cumulant generating function (CGF) of the code length, i.e., the
normalized logarithm of the empirical average of the exponentiated code length.
Since the probabilistic CGF is minimized in terms of the R\'enyi entropy of the
source, one of the motivations of this study is to derive an
individual-sequence analogue of the R\'enyi entropy, in the same way that the
FS compressibility is the individual-sequence counterpart of the Shannon
entropy. We consider the CGF of the code-length both from the perspective of
fixed-to-variable (F-V) length coding and the perspective of
variable-to-variable (V-V) length coding, where the latter turns out to yield a
better result, that coincides with the FS compressibility. We also extend our
results to compression with side information, available at both the encoder and
decoder. In this case, the V-V version no longer coincides with the FS
compressibility, but results in a different complexity measure.


title: On the magnetism and dynamics of prominence legs hosting tornadoes

abstract:
  Solar tornadoes are dark vertical filamentary structures observed in the
extreme ultraviolet associated with prominence legs and filament barbs. Their
true nature and relationship to prominences requires understanding their
magnetic structure and dynamic properties. Recently, a controversy has arisen:
is the magnetic field organized forming vertical, helical structures or is it
dominantly horizontal? And concerning their dynamics, are tornadoes really
rotating or is it just a visual illusion? Here, we analyze four consecutive
spectropolarimetric scans of a prominence hosting tornadoes on its legs which
help us shed some light on their magnetic and dynamical properties. We show
that the magnetic field is very smooth in all the prominence, probably an
intrinsic property of the coronal field. The prominence legs have vertical
helical fields that show slow temporal variation probably related to the motion
of the fibrils. Concerning the dynamics, we argue that 1) if rotation exists,
it is intermittent, lasting no more than one hour, and 2) the observed velocity
pattern is also consistent with an oscillatory velocity pattern (waves).


title:
Optimal DoF Region for the Asymmetric Two-Pair MIMO Two-Way Relay
  Channel

abstract:
  In this paper, we study the optimal degrees of freedom (DoF) region for the
two-pair MIMO two-way relay channel (TWRC) with asymmetric antenna setting,
where two pairs of users exchange information with the help of a common relay.
Each user $i$ is equipped with $M_i$ antennas, for $i=1,2,3,4$, and the relay
is equipped with $N$ antennas. First, we derive an outer bound of the DoF
region by using the cut-set theorem and the genie-message approach. Then, we
propose a new transmission scheme to achieve the outer bound of the DoF region.
Due to the asymmetric data exchange, where the two users in each pair can
communicate a different number of data streams, we not only need to form the
network-coded symbols but also need to process the additional asymmetric data
streams at the relay. This is realized through the joint design of relay
compression matrix and source precoding matrices. After obtaining the optimal
DoF region, we study the optimal sum DoF by solving a linear programming
problem. From the optimal DoF region of this channel, we show that in the
asymmetric antenna setting, some antennas at certain source nodes are redundant
and cannot contribute to enlarge the DoF region. We also show that there is no
loss of optimality in terms of the sum DoF by enforcing symmetric data
exchange, where the two users in each pair are restricted to communicate the
same number of data streams.


title: Linear Bandit algorithms using the Bootstrap

abstract:
  This study presents two new algorithms for solving linear stochastic bandit
problems. The proposed methods use an approach from non-parametric statistics
called bootstrapping to create confidence bounds. This is achieved without
making any assumptions about the distribution of noise in the underlying
system. We present the X-Random and X-Fixed bootstrap bandits which correspond
to the two well-known approaches for conducting bootstraps on models, in the
literature. The proposed methods are compared to other popular solutions for
linear stochastic bandit problems, namely, OFUL, LinUCB and Thompson Sampling.
The comparisons are carried out using a simulation study on a hierarchical
probability meta-model, built from published data of experiments, which are run
on real systems. The model representing the response surfaces is conceptualized
as a Bayesian Network which is presented with varying degrees of noise for the
simulations. One of the proposed methods, X-Random bootstrap, performs better
than the baselines in-terms of cumulative regret across various degrees of
noise and different number of trials. In certain settings the cumulative regret
of this method is less than half of the best baseline. The X-Fixed bootstrap
performs comparably in most situations and particularly well when the number of
trials is low. The study concludes that these algorithms could be a preferred
alternative for solving linear bandit problems, especially when the
distribution of the noise in the system is unknown.


title:
Thermodynamic Properties of Kehagias-Sfetsos Black Hole \& KS/CFT
  Correspondence

abstract:
  We speculate on various thermodynamic features of the inner
horizon~(${\mathcal H}^{-}$) and outer horizons~(${\mathcal H}^{+}$) of
Kehagias-Sfetsos~(KS) black hole~(BH) in the background of Ho\v{r}ava Lifshitz
gravity. We compute particularly the \emph{area product, area sum, area minus
and area division} of the BH horizons. We find that they all are \emph{not}
showing universal behavior whereas the product is a universal quantity~
[Pradhan P., \textit{Phys. Lett. B}, {\bf 747} (2015) {64}]. Based on these
relations, we derive the area bound of all horizons. From the area bound we
derive the entropy bound and irreducible mass bound for all the
horizons~(${\mathcal H}^{\pm}$). We also observe that the \emph{First law} of
BH thermodynamics and \emph {Smarr-Gibbs-Duhem } relations do not hold for this
BH. The underlying reason behind this failure due to the scale invariance of
the coupling constant. Moreover, we compute the
\emph{Cosmic-Censorship-Inequality} for this BH which gives the lower bound for
the total mass of the spacetime and it is supported by cosmic cencorship
conjecture. Finally, we discuss the KS/CFT~(Conformal Field Theory)
correspondence via a thermodynamic procedure.


title:
Novel Self-passivation Rule and Structure of CdTe sigma3 (112) Grain
  Boundary

abstract:
  The theoretical study of grain boundaries (GBs) in polycrystalline
semiconductors is currently stalemated by their complicated nature, which is
difficult to extract from any direct experimental characterization. Usually,
coincidence-site-lattice (CSL) models are constructed simply by aligning two
symmetric planes, ignoring various possible reconstructions. Here, we propose a
general self-passivation rule to determine the low-energy GB reconstruction,
and find new configurations for the CdTe sigma3 (112) GBs. First-principles
calculations show that it has lower formation energies than the prototype GBs
adopted widely in previous studies. Surprisingly, the reconstructed GBs show
self-passivated electronic properties without deep-level states in the band
gap. Based on the reconstructed configurations, we revisited the influence of
CdCl2 post-treatment on the CdTe GBs, and found that the addition of both Cd
and Cl atoms in the GB improves the photovoltaic properties by promoting
self-passivation and inducing n-type levels, respectively. The present study
provides a new route for further studies of GBs in covalent polycrystalline
semiconductors and also highlights that previous studies on the GBs of
multinary semiconductors which are based on the unreconstructed prototype GB
models, should be revisited.


title:
Enhancing semantic expressivity in the cultural heritage domain:
  exposing the Zeri Photo Archive as Linked Open Data

abstract:
  Describing cultural heritage objects from the perspective of Linked Open Data
(LOD) is not a trivial task. The process often requires not only choosing
pertinent ontologies, but also developing new models that preserve the most
information and express the semantic power of cultural heritage data. Indeed,
data managed in archives, libraries and museums are complex objects themselves,
which require a deep reflection on even non-conventional conceptual models.
Starting from these considerations, this paper describes a research project: to
expose the vastness of one of the most important collections of European
cultural heritage, the Zeri Photo Archive, as Linked Open Data. We describe
here the steps we undertook to this end: firstly, we developed two ad hoc
ontologies for describing all the issues not completely covered by existent
models (the F Entry and the OA Entry Ontology); then we mapped into RDF the
descriptive elements used in the current Zeri Photo Archive catalog, converting
into CIDOC-CRM and into the two new aforementioned models the source data based
on the Italian content standards Scheda F (Photography Entry, in English) and
Scheda OA (Work of Art Entry, in English); and finally, we created an RDF
dataset of the output of the mapping that could show a result capable of
demonstrating the complexity of our scenario.


title:
A Generic Method for Automatic Ground Truth Generation of
  Camera-captured Documents

abstract:
  The contribution of this paper is fourfold. The first contribution is a
novel, generic method for automatic ground truth generation of camera-captured
document images (books, magazines, articles, invoices, etc.). It enables us to
build large-scale (i.e., millions of images) labeled camera-captured/scanned
documents datasets, without any human intervention. The method is generic,
language independent and can be used for generation of labeled documents
datasets (both scanned and cameracaptured) in any cursive and non-cursive
language, e.g., English, Russian, Arabic, Urdu, etc. To assess the
effectiveness of the presented method, two different datasets in English and
Russian are generated using the presented method. Evaluation of samples from
the two datasets shows that 99:98% of the images were correctly labeled. The
second contribution is a large dataset (called C3Wi) of camera-captured
characters and words images, comprising 1 million word images (10 million
character images), captured in a real camera-based acquisition. This dataset
can be used for training as well as testing of character recognition systems on
camera-captured documents. The third contribution is a novel method for the
recognition of cameracaptured document images. The proposed method is based on
Long Short-Term Memory and outperforms the state-of-the-art methods for camera
based OCRs. As a fourth contribution, various benchmark tests are performed to
uncover the behavior of commercial (ABBYY), open source (Tesseract), and the
presented camera-based OCR using the presented C3Wi dataset. Evaluation results
reveal that the existing OCRs, which already get very high accuracies on
scanned documents, have limited performance on camera-captured document images;
where ABBYY has an accuracy of 75%, Tesseract an accuracy of 50.22%, while the
presented character recognition system has an accuracy of 95.10%.


title:
Maximum likelihood type estimation for discretely observed CIR model
  with small $\alpha$-stable noises

abstract:
  A maximum likelihood type estimation of the drift and volatility coefficient
parameters in the CIR type model driven by $\alpha$-stable noises is studied
when the dispersion parameter $\varepsilon\to0$ and the discrete observations
frequency $n\to\infty$ simultaneously.


title:
Waveform Optimization for Large-Scale Multi-Antenna Multi-Sine Wireless
  Power Transfer

abstract:
  Wireless power transfer (WPT) is expected to be a technology reshaping the
landscape of low-power applications such as the Internet of Things,
machine-to-machine communications and radio frequency identification networks.
Although there has been some progress towards multi-antenna multi-sine WPT
design, the large-scale design of WPT, reminiscent of massive multiple-input
multiple-output (MIMO) in communications, remains an open problem. Considering
the nonlinear rectifier model, a multiuser waveform optimization algorithm is
derived based on successive convex approximation (SCA). A lower-complexity
algorithm is derived based on asymptotic analysis and sequential approximation
(SA). It is shown that the difference between the average output voltage
achieved by the two algorithms can be negligible provided the number of
antennas is large enough. The performance gain of the nonlinear model based
design over the linear model based design can be large, in the presence of a
large number of tones.


title: Admitting a coarse embedding is not preserved under group extensions

abstract:
  We construct a finitely generated group which is an extension of two finitely
generated groups coarsely embeddable into Hilbert space but which itself does
not coarsely embed into Hilbert space. Our construction also provides a new
infinite monster group: the first example of a finitely generated group that
does not coarsely embed into Hilbert space and yet does not contain a weakly
embedded expander.


title:
Towards Quantum Turbulence in Finite Temperature Bose-Einstein
  Condensates

abstract:
  Motivated by the various indications that holographic superfluid is BCS like
at the standard quantization but BEC like at the alternative quantization, we
have implemented the alternative quantization in the dynamical holographic
superfluid for the first time. With this accomplishment, we further initiate
the detailed investigation of quantum turbulence in finite temperature BEC by a
long time stable numerical simulation of bulk dynamics, which includes the two
body decay of vortex number caused by vortex pair annihilation, the onset of
superfluid turbulence signaled by Kolmogorov scaling law, and a direct energy
cascade demonstrated by injecting energy to the turbulent superfluid. All of
these results share the same patterns as the holographic superfluid at the
standard quantization, thus suggest that these should be universal features for
quantum turbulence at temperatures order of the critical temperature.


title:
IISCNLP at SemEval-2016 Task 2: Interpretable STS with ILP based
  Multiple Chunk Aligner

abstract:
  Interpretable semantic textual similarity (iSTS) task adds a crucial
explanatory layer to pairwise sentence similarity. We address various
components of this task: chunk level semantic alignment along with assignment
of similarity type and score for aligned chunks with a novel system presented
in this paper. We propose an algorithm, iMATCH, for the alignment of multiple
non-contiguous chunks based on Integer Linear Programming (ILP). Similarity
type and score assignment for pairs of chunks is done using a supervised
multiclass classification technique based on Random Forrest Classifier. Results
show that our algorithm iMATCH has low execution time and outperforms most
other participating systems in terms of alignment score. Of the three datasets,
we are top ranked for answer- students dataset in terms of overall score and
have top alignment score for headlines dataset in the gold chunks track.


title: Dot-ring nanostructure: Rigorous analysis of many-electron effects

abstract:
  We discuss the quantum dot-ring nanostructure (DRN) as canonical example of a
nanosystem, for which the~interelectronic interactions can be evaluated
exactly. The system has been selected due to its tunability, i.e., its electron
wave functions can be modified much easier than in, e.g., quantum dots. We
determine many-particle states for $N_e=2$ and $3$ electrons and calculate the
3- and 4-state interaction parameters, and discuss their importance. For that
purpose, we combine the first- and second-quantization schemes and hence are
able to single out the component single-particle contributions to the resultant
many-particle state. The method provides both the ground- and the
first-excited-state energies, as the exact diagonalization of the many-particle
Hamiltonian is carried out. DRN provides one of the few examples for which one
can determine theoretically all interaction microscopic parameters to a high
accuracy. Thus the evolution of the single-particle vs. many-particle
contributions to each state and its energy can be determined and tested with
the increasing system size. In this manner, we contribute to the wave-function
engineering with the~interactions included for those few-electron systems.


title: Solvability of the Hankel determinant problem for real sequences

abstract:
  To each nonzero sequence $s:= \{s_{n}\}_{n \geq 0}$ of real numbers we
associate the Hankel determinants $D_{n} = \det \mathcal{H}_{n}$ of the Hankel
matrices $\mathcal{H}_{n}:= (s_{i + j})_{i, j = 0}^{n}$, $n \geq 0$, and the
nonempty set $N_{s}:= \{n \geq 1 \, | \, D_{n-1} \neq 0 \}$. We also define the
Hankel determinant polynomials $P_0:=1$, and $P_n$, $n\geq 1$ as the
determinant of the Hankel matrix $\mathcal H_n$ modified by replacing the last
row by the monomials $1, x, \ldots, x^n$. Clearly $P_n$ is a polynomial of
degree at most $n$ and of degree $n$ if and only if $n\in N_s $. Kronecker
established in 1881 that if $N_s $ is finite then rank $\mathcal{H}_{n} = r$
for each $n \geq r-1$, where $r := \max N_s $. By using an approach suggested
by I.S.Iohvidov in 1969 we give a short proof of this result and a transparent
proof of the conditions on a real sequence $\{t_n\}_{n\geq 0}$ to be of the
form $t_n=D_n$, $n\geq 0$ for a real sequence $\{s_n\}_{n\geq 0}$. This is the
Hankel determinant problem. We derive from the Kronecker identities that each
Hankel determinant polynomial $ P_n $ satisfying deg$P_n = n\geq 1$ is preceded
by a nonzero polynomial $P_{n-1}$ whose degree can be strictly less than $n-1$
and which has no common zeros with $ P_n $. As an application of our results we
obtain a new proof of a recent theorem by Berg and Szwarc about positive
semidefiniteness of all Hankel matrices provided that $D_0 > 0, \ldots, D_{r-1}
> 0 $ and $D_n=0$ for all $n\geq r$.


title:
Numerical Investigation of Vertical Cavity Lasers with Subwavelength
  Gratings Using the Fourier Modal Method

abstract:
  We show the strength of the Fourier modal method (FMM) for numerically
investigating the optical properties of vertical cavities including
subwavelength gratings. Three different techniques for determining the
resonance frequency and Q-factor of a cavity mode are compared. Based on that,
the Fabry-Perot approach has been chosen due to its numerical efficiency. The
computational uncertainty in determining the resonance frequency and Q-factor
is investigated, showing that the uncertainty in the Q-factor calculation can
be a few orders of magnitude larger than that in the resonance frequency
calculation. Moreover, a method for reducing 3D simulations to
lower-dimensional simulations is suggested, and is shown to enable approximate
and fast simulations of certain device parameters. Numerical calculation of the
cavity dispersion, which is an important characteristic of vertical cavities,
is illustrated. By employing the implemented FMM, it is shown that adiabatic
heterostructures designs are advantageous compared to abrupt heterostructures
for minimizing the cavity scattering loss.


title:
Successor-Invariant First-Order Logic on Graphs with Excluded
  Topological Subgraphs

abstract:
  We show that the model-checking problem for successor-invariant first-order
logic is fixed-parameter tractable on graphs with excluded topological
subgraphs when parameterised by both the size of the input formula and the size
of the exluded topological subgraph. Furthermore, we show that model-checking
for order-invariant first-order logic is tractable on coloured posets of
bounded width, parameterised by both the size of the input formula and the
width of the poset.
  Our result for successor-invariant FO extends previous results for this logic
on planar graphs (Engelmann et al., LICS 2012) and graphs with excluded minors
(Eickmeyer et al., LICS 2013), further narrowing the gap between what is known
for FO and what is known for successor-invariant FO. The proof uses Grohe and
Marx's structure theorem for graphs with excluded topological subgraphs. For
order-invariant FO we show that Gajarsk\'y et al.'s recent result for FO
carries over to order-invariant FO.


title: Non-Homogenizable Classes of Finite Structures

abstract:
  Homogenization is a powerful way of taming a class of finite structures with
several interesting applications in different areas, from Ramsey theory in
combinatorics to constraint satisfaction problems (CSPs) in computer science,
through (finite) model theory. A few sufficient conditions for a class of
finite structures to allow homogenization are known, and here we provide a
necessary condition. This lets us show that certain natural classes are not
homogenizable: 1) the class of locally consistent systems of linear equations
over the two-element field or any finite Abelian group, and 2) the class of
finite structures that forbid homomorphisms from a specific MSO-definable class
of structures of treewidth two. In combination with known results, the first
example shows that, up to pp-interpretability, the CSPs that are solvable by
local consistency methods are distinguished from the rest by the fact that
their classes of locally consistent instances are homogenizable. The second
example shows that, for MSO-definable classes of forbidden patterns, treewidth
one versus two is the dividing line to homogenizability.


title: A search for ionized jets towards massive young stellar objects

abstract:
  Radio continuum observations using the Australia telescope compact array at
5.5, 9.0, 17.0 and 22.8 GHz have detected free-free emission associated with 45
of 49 massive young stellar objects and HII regions. Of these, 26 sources are
classified as ionized jets (12 of which are candidates), 2 as ambiguous jets or
disc winds, 1 as a disc-wind, 14 as HII regions and 2 were unable to be
categorised. Classification as ionized jets is based upon morphology, radio
flux and spectral index, in conjunction with previous observational results at
other wavelengths. Radio-luminosity and momentum are found to scale with
bolometric luminosity in the same way as low-mass jets, indicating a common
mechanism for jet production across all masses. In 13 of the jets, we see
associated non-thermal/optically-thin lobes resulting from shocks either
internal to the jet and/or at working surfaces. Ten jets display non-thermal
(synchrotron emission) spectra in their lobes, with an average spectral index
of -0.55 consistent with Fermi acceleration in shocks. This shows that magnetic
fields are present, in agreement with models of jet formation incorporating
magnetic fields. Since the production of collimated radio jets is associated
with accretion processes, the results presented in this paper support the
picture of disc-mediated accretion for the formation of massive stars with an
upper-limit on the jet phase lasting approximately $6.5 \times 10^4 yr$.
Typical mass loss rates in the jet are found to be $1.4 \times 10^{-5} M_\odot
yr^{-1}$ with associated momentum rates of the order $(1-2) \times 10^{-2}
M_\odot km s^{-1} yr^{-1}$.


title: From Network Sharing to Multi-tenancy: The 5G Network Slice Broker

abstract:
  The ever-increasing traffic demand is pushing network operators to find new
cost-efficient solutions towards the deployment of future 5G mobile networks.
The network sharing paradigm was explored in the past and partially deployed.
Nowadays, advanced mobile network multi-tenancy approaches are increasingly
gaining momentum paving the way towards further decreasing Capital Expenditures
and Operational Expenditures (CAPEX/OPEX) costs, while enabling new business
opportunities. This paper provides an overview of the 3GPP standard evolution
from network sharing principles, mechanisms and architectures to future
on-demand multi-tenant systems. In particular, it introduces the concept of the
5G Network Slice Broker in 5G systems, which enables mobile virtual network
operators, over-the-top providers and industry vertical market players to
request and lease resources from infrastructure providers dynamically via
signaling means. Finally, it reviews the latest standardization efforts
considering remaining open issues for enabling advanced network slicing
solutions taking into account the allocation of virtualized network functions
based on ETSI NFV, the introduction of shared network functions and flexible
service chaining.


title:
A dynamical characterization of diagonal preserving $*$-isomorphisms of
  graph $C^*$-algebras

abstract:
  We characterize when there exists a diagonal preserving $*$-isomorphism
between two graph $C^*$-algebras in terms of the dynamics of the boundary path
spaces. In particular, we refine the notion of "orbit equivalence" between the
boundary path spaces of the directed graphs $E$ and $F$ and show that this is a
necessary and sufficient condition for the existence of a diagonal preserving
$*$-isomorphism between the graph $C^*$-algebras $C^*(E)$ and $C^*(F)$.


title: Kaon-Nucleon systems and their interactions in the Skyrme model

abstract:
  We study kaon-nucleon systems in the Skyrme model in a method based on the
bound state approach of Callan-Klebanov but with the kaon around the physical
nucleon of the rotating hedgehog. This corresponds to the variation after
projection, reversing the order of semiclassical quantization of $1/N_c$
expansion. The method, however, is considered to be suited to the study of
weakly interacting kaon-nucleon systems including loosely $\bar{K}N$ bound
states such as $\Lambda(1405)$. We have found a bound state with binding energy
of order ten MeV, consistent with the observed state. We also discuss the
$\bar{K}N$ interaction and find that it consists of an attraction in the middle
range and a repulsion in the short range.


title: A new look at the Feynman `hodograph' approach to the Kepler first law

abstract:
  Hodographs for the Kepler problem are circles. This fact, known since almost
two centuries ago, still provides the simplest path to derive the Kepler first
law. Through Feynman `lost lecture', this derivation has now reached to a wider
audience. Here we look again at Feynman's approach to this problem as well as
at the recently suggested modification by van Haandel and Heckman (vHH), with
two aims in view, both of which extend the scope of the approach.
  First we review the geometric constructions of the Feynman and vHH approaches
(that prove the existence of {\itshape elliptic} orbits without making use of
integral calculus or differential equations) and then we extend the geometric
approach to cover also the {\itshape hyperbolic} orbits (corresponding to
$E>0$). In the second part we analyse the properties of the director circles of
the conics, which are used to simplify the approach and we relate with the
properties of the hodographs and with the Laplace-Runge-Lenz vector, the
constant of motion specific to the Kepler problem. Finally, we briefly discuss
the generalisation of the geometric method to the Kepler problem in
configuration spaces of constant curvature, i.e. in the sphere and the
hyperbolic plane.


title: Revised predictions of neutrino fluxes from Pulsar Wind Nebulae

abstract:
  Several Pulsar Wind Nebulae (PWNe) have been detected in the TeV band in the
last decade.The TeV emission is typically interpreted in a purely leptonic
scenario, but this usually requires that the magnetic field in the Nebula be
much lower than the equipartition value and the assumption of an enhanced
target radiation at IR frequencies. In this work we consider the possibility
that, in addition to the relativistic electrons, also relativistic hadrons are
present in these nebulae. Assuming that part of the emitted TeV photons are of
hadronic origin, we compute the associated flux of $\sim 1-100$ TeV neutrinos.
We use the IceCube non detection to put constraints on the fraction of TeV
photons that might be contributed by hadrons and estimate the number of
neutrino events that can be expected from these sources in ANTARES and in
KM3Net.


title:
Experimental Exploration of Quantum Correlations: Discord versus
  Entanglement

abstract:
  Quantum correlations represent a fundamental tool for studies ranging from
basic science to quantum technologies. Different non-classical correlations
have been identified and studied, as entanglement and discord. In view of
future applications in this letter we explore experimentally the rich geometry
of Bell-diagonal states, measuring the values of entanglement and discord and
highlighting the effect of decoherence in real experiments.


title:
Ontology-Mediated Queries: Combined Complexity and Succinctness of
  Rewritings via Circuit Complexity

abstract:
  We give solutions to two fundamental computational problems in ontology-based
data access with the W3C standard ontology language OWL 2 QL: the succinctness
problem for first-order rewritings of ontology-mediated queries (OMQs), and the
complexity problem for OMQ answering. We classify OMQs according to the shape
of their conjunctive queries (treewidth, the number of leaves) and the
existential depth of their ontologies. For each of these classes, we determine
the combined complexity of OMQ answering, and whether all OMQs in the class
have polynomial-size first-order, positive existential, and nonrecursive
datalog rewritings. We obtain the succinctness results using hypergraph
programs, a new computational model for Boolean functions, which makes it
possible to connect the size of OMQ rewritings and circuit complexity.


title:
Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau
  equations in nonsmooth domains with incompatible initial data

abstract:
  In this paper, we propose a fully discrete mixed finite element method for
solving the time-dependent Ginzburg--Landau equations, and prove the
convergence of the finite element solutions in general curved polyhedra,
possibly nonconvex and multi-connected, without assumptions on the regularity
of the solution. Global existence and uniqueness of weak solutions for the PDE
problem are also obtained in the meantime. A decoupled time-stepping scheme is
introduced, which guarantees that the discrete solution has bounded discrete
energy, and the finite element spaces are chosen to be compatible with the
nonlinear structure of the equations. Based on the boundedness of the discrete
energy, we prove the convergence of the finite element solutions by utilizing a
uniform $L^{3+\delta}$ regularity of the discrete harmonic vector fields,
establishing a discrete Sobolev embedding inequality for the N\'ed\'elec finite
element space, and introducing a $\ell^2(W^{1,3+\delta})$ estimate for fully
discrete solutions of parabolic equations. The numerical example shows that the
constructed mixed finite element solution converges to the true solution of the
PDE problem in a nonsmooth and multi-connected domain, while the standard
Galerkin finite element solution does not converge.


title: Hunting for Dark Particles with Gravitational Waves

abstract:
  The LIGO observation of gravitational waves from a binary black hole merger
has begun a new era in fundamental physics. If new dark sector particles, be
they bosons or fermions, can coalesce into exotic compact objects (ECOs) of
astronomical size, then the first evidence for such objects, and their
underlying microphysical description, may arise in gravitational wave
observations. In this work we study how the macroscopic properties of ECOs are
related to their microscopic properties, such as dark particle mass and
couplings. We then demonstrate the smoking gun exotic signatures that would
provide observational evidence for ECOs, and hence new particles, in
terrestrial gravitational wave observatories. Finally, we discuss how
gravitational waves can test a core concept in general relativity: Hawking's
area theorem.


title: Quantum dynamics on Orlicz spaces

abstract:
  Quantum dynamical maps are defined and studied for quantum statistical
physics based on Orlicz spaces. This complements earlier work [W. A. Majewski,
L.E. Labuschagne, Ann. H. Poincare. 15, 1197-1221, (2014)] where we made a
strong case for the assertion that statistical physics of regular systems
should properly be based on the pair of Orlicz spaces $\langle L^{\cosh - 1},
L\log(L+1)\rangle$. The present paper therefore in some sense "completes" the
picture by showing that even in the most general non-commutative contexts,
completely positive Markov maps satisfying a natural Detailed Balance
condition, canonically admit an action on a large class of quantum Orlicz
spaces. This is achieved by the development of a new interpolation technique,
specifically suited to the above context, for extending the action of such maps
to the appropriate intermediate spaces of the pair $\langle
L^\infty,L^1\rangle$. Moreover, it is shown that quantum dynamics in the form
of Markov semigroups described by some Dirichlet forms naturally extends to the
context proposed in [W. A. Majewski, L.E. Labuschagne, Ann. H. Poincare. 15,
1197-1221, (2014)].


title:
An Upper Bound for the Capacity of Amplitude-Constrained Scalar AWGN
  Channel

abstract:
  This paper slightly improves the upper bound in Thangaraj et al. for the
capacity of the amplitude-constrained scalar AWGN channel. This improvement
makes the upper bound within 0.002 bits of the capacity for
$\frac{E_b}{N_0}\leq 2.5$ dB.