title:
Group Methodologies and Simulations for the Development of Transversal
  Skills: A Pilot Study on Health Sciences Higher Education

abstract:
  One of the methodologies based on group dynamics is Role Playing (RP). This
method consists on the simulation of a real situation, allowing its study and
understanding. Knowledge and technical skills are not the only prerequisites
for proper practice in health sciences. RP has been used as Communication
Skills Training (CST) amongst health professionals. In the teaching of
odontology and stomatology, object of our research, dental assistance brings up
situations where the professional must develop transversal skills, which
improve the interaction with the patient and the dental treatment itself. The
aim of this study is to evaluate the efficacy of the proposed RP methodology
through the students' opinion. The study sample is made out of dental students
(n=80), all of them on the 4th year at the College of Dentistry (University of
Seville, Spain). The students who took part in the activity considered the
incorporation of RP in the syllabus as relevant, though further study should be
considered in order to analyze the efficacy of this teaching methodology in
depth.


title:
Information and Communications Technologies (ICT) and Pre-Service
  Education Professionals: A Case Study of Motivation and Knowledge

abstract:
  The importance of knowing ICT training and motivation -so relevant in today's
society- which currently offers the first year college students, mostly in
degrees in Education, focuses the object of interest in this study. The
following targets have been proposed: [1] knowing what basic skills regarding
initial instrumental knowledge presents the prospective teacher (aptitudes) and
[2] knowing their motivation for the educational use of ICT in the classroom
(attitudes). For this purpose a non-experimental descriptive quantitative
methodology has been used, with a sample of subjects (N=282) of the Autonomous
Region of Extremadura (Spain). The results show that new degree college
students possess a basic knowledge of ICT alongside a highly positive
motivation towards the use of these. However, it is worrying that they only
show an instrumental and technical knowledge of computing and telematic tools
implied in social environments, but not pedagogical ones. Also they are
unfamiliar with the true power of social, economic, political, ethical,
influence as well as the effects and problems that their misuse can generate in
their future students (addictions, manipulation, consumerism, etc.). Dimensions
therefore for which they are urged to be trained at University for a proper
performance as future professionals in education.


title: Generalized Positive Linear Operators based on PED and IPED

abstract:
  The paper deals with generalized positive linear operators based on
P\'olya-Eggenberger distribution(PED) as well as inverse P\'olya-Eggenberger
distribution(IPED). Initially, we give the moments by using Stirling numbers of
second kind and then establish direct results, convergence with the help of
local and weighted approximation of proposed operators.


title:
The effect of AGN feedback on the X-ray morphologies of clusters --
  simulations vs. observations

abstract:
  We study the effect of Active Nuclei Galaxy (AGN) feedback as one of the
major mechanisms modifying the cluster morphology influencing scaling
relations, which are the most uncertain factor in constraining cosmology with
clusters of galaxies. Using cosmological hydrodynamical simulations we
investigate how the AGN feedback changes the X-ray morphology of the simulated
systems, and compare to the observed REXCESS (Representative XMM-Newton Cluster
Structure Survey) clusters. We apply centre shifts and power ratios to
characterise the cluster morphology, and find that our simulated clusters are
more substructured than the observed ones. We show that the degree of this
discrepancy is affected by the inclusion of AGN feedback. While the clusters
simulated with the AGN feedback are in much better agreement with the REXCESS
L_X-T relation, they are also more substructured, which increases the tension
with observations. This suggests that not only global cluster properties such
as L_X and T and radial profiles should be used to compare and to calibrate
simulations with observations, but also substructure measures such as centre
shifts and power ratios. We discuss what changes in the simulations might ease
the tension with observational constraints on these quantities.


title: Higher Regularity for the fractional thin obstacle problem

abstract:
  In this article we investigate the higher regularity properties of the
regular free boundary in the fractional thin obstacle problem. Relying on a
Hodograph-Legendre transform, we show that for smooth or analytic obstacles the
regular free boundary is smooth or analytic, respectively. This leads to the
analysis of a fully nonlinear, degenerate (sub)elliptic operator which we
identify as a (fully nonlinear) perturbation of the fractional Baouendi-Grushin
Laplacian. Using its intrinsic geometry and adapted function spaces, we invoke
the analytic implicit function theorem to deduce analyticity of the regular
free boundary.


title: Uniqueness for SQG patch solutions

abstract:
  This paper is about the evolution of a temperature front governed by the
Surface quasi-geostrophic equation. The existence part of that program within
the scale of Sobolev spaces was obtained by one of the authors [10]. Here we
revisit that proof introducing some new tools and points of view which allow us
to conclude the also needed uniqueness result.


title: Automorphism group of the complete alternating group graph

abstract:
  Let $S_n$ and $A_n$ denote the symmetric group and alternating group of
degree $n$ with $n\geq 3$, respectively. Let $S$ be the set of all $3$-cycles
in $S_n$. The \emph{complete alternating group graph}, denoted by $CAG_n$, is
defined as the Cayley graph $\mathrm{Cay}(A_n,S)$ on $A_n$ with respect to $S$.
In this paper, we show that $CAG_n$ ($n\geq 4$) is not a normal Cayley graph.
Furthermore, the automorphism group of $CAG_n$ for $n\geq 5$ is obtained, which
equals to $\mathrm{Aut}(CAG_n)=(R(A_n)\rtimes \mathrm{Inn}(S_n))\rtimes
\mathbb{Z}_2\cong (A_n\rtimes S_n)\rtimes \mathbb{Z}_2$, where $R(A_n)$ is the
right regular representation of $A_n$, $\mathrm{Inn}(S_n)$ is the inner
automorphism group of $S_n$, and $\mathbb{Z}_2=\langle h\rangle$, where $h$ is
the map $\alpha\mapsto\alpha^{-1}$ ($\forall \alpha\in A_n$).


title: Entropy reduction in Euclidean first-passage percolation

abstract:
  The Euclidean first-passage percolation (FPP) model of Howard and Newman is a
rotationally invariant model of FPP which is built on a graph whose vertices
are the points of homogeneous Poisson point process. It was shown that one has
(stretched) exponential concentration of the passage time $T_n$ from $0$ to
$n\mathbf{e}_1$ about its mean on scale $\sqrt{n}$, and this was used to show
the bound $\mu n \leq \mathbb{E}T_n \leq \mu n + C\sqrt{n} (\log n)^a$ for
$a,C>0$ on the discrepancy between the expected passage time and its
deterministic approximation $\mu = \lim_n \frac{\mathbb{E}T_n}{n}$. In this
paper, we introduce an inductive entropy reduction technique that gives the
stronger upper bound $\mathbb{E}T_n \leq \mu n + C_k\psi(n) \log^{(k)}n$, where
$\psi(n)$ is a general scale of concentration and $\log^{(k)}$ is the $k$-th
iterate of $\log$. This gives evidence that the inequality $\mathbb{E}T_n - \mu
n \leq C\sqrt{\mathrm{Var}~T_n}$ may hold.


title:
Interpolation on Symmetric Spaces via the Generalized Polar
  Decomposition

abstract:
  We construct interpolation operators for functions taking values in a
symmetric space -- a smooth manifold with an inversion symmetry about every
point. Key to our construction is the observation that every symmetric space
can be realized as a homogeneous space whose cosets have canonical
representatives by virtue of the generalized polar decomposition -- a
generalization of the well-known factorization of a real nonsingular matrix
into the product of a symmetric positive-definite matrix times an orthogonal
matrix. By interpolating these canonical coset representatives, we derive a
family of structure-preserving interpolation operators for symmetric
space-valued functions. As applications, we construct interpolation operators
for the space of Lorentzian metrics, the space of symmetric positive-definite
matrices, and the Grassmannian. In the case of Lorentzian metrics, our
interpolation operators provide a family of finite elements for numerical
relativity that are frame-invariant and have signature which is guaranteed to
be Lorentzian pointwise. We illustrate their potential utility by interpolating
the Schwarzschild metric numerically.


title: Terahertz-driven, all-optical electron gun

abstract:
  Ultrashort electron beams with narrow energy spread, high charge, and low
jitter are essential for resolving phase transitions in metals, semiconductors,
and molecular crystals. These semirelativistic beams, produced by
phototriggered electron guns, are also injected into accelerators for x-ray
light sources. The achievable resolution of these time-resolved electron
diffraction or x-ray experiments has been hindered by surface field and timing
jitter limitations in conventional RF guns, which thus far are <200 MV/m and
>96 fs, respectively. A gun driven by optically-generated single-cycle THz
pulses provides a practical solution to enable not only GV/m surface fields but
also absolute timing stability, since the pulses are generated by the same
laser as the phototrigger. Here, we demonstrate an all-optical THz gun yielding
peak electron energies approaching 1 keV, accelerated by 300 MV/m THz fields in
a novel micron-scale waveguide structure. We also achieve quasimonoenergetic,
sub-keV bunches with 32 fC of charge, which can already be used for
time-resolved low-energy electron diffraction. Such ultracompact, easy to
implement guns driven by intrinsically synchronized THz pulses that are pumped
by an amplified arm of the already present photoinjector laser provide a new
tool with potential to transform accelerator based science.


title:
Enhanced Playback of Automated Service Emulation Models Using Entropy
  Analysis

abstract:
  Service virtualisation is a supporting tool for DevOps to generate
interactive service models of dependency systems on which a system-under-test
relies. These service models allow applications under development to be
continuously tested against production-like conditions. Generating these
virtual service models requires expert knowledge of the service protocol, which
may not always be available. However, service models may be generated
automatically from network traces. Previous work has used the Needleman-Wunsch
algorithm to select a response from the service model to play back for a live
request. We propose an extension of the Needleman-Wunsch algorithm, which uses
entropy analysis to automatically detect the critical matching fields for
selecting a response. Empirical tests against four enterprise protocols
demonstrate that entropy weighted matching can improve response accuracy.


title: Automatic vs Manual Provenance Abstractions: Mind the Gap

abstract:
  In recent years the need to simplify or to hide sensitive information in
provenance has given way to research on provenance abstraction. In the context
of scientific workflows, existing research provides techniques to semi
automatically create abstractions of a given workflow description, which is in
turn used as filters over the workflow's provenance traces. An alternative
approach that is commonly adopted by scientists is to build workflows with
abstractions embedded into the workflow's design, such as using sub-workflows.
This paper reports on the comparison of manual versus semi-automated approaches
in a context where result abstractions are used to filter report-worthy results
of computational scientific analyses. Specifically; we take a real-world
workflow containing user-created design abstractions and compare these with
abstractions created by ZOOM UserViews and Workflow Summaries systems. Our
comparison shows that semi-automatic and manual approaches largely overlap from
a process perspective, meanwhile, there is a dramatic mismatch in terms of data
artefacts retained in an abstracted account of derivation. We discuss reasons
and suggest future research directions.


title:
Opaque Service Virtualisation: A Practical Tool for Emulating Endpoint
  Systems

abstract:
  Large enterprise software systems make many complex interactions with other
services in their environment. Developing and testing for production-like
conditions is therefore a very challenging task. Current approaches include
emulation of dependent services using either explicit modelling or
record-and-replay approaches. Models require deep knowledge of the target
services while record-and-replay is limited in accuracy. Both face
developmental and scaling issues. We present a new technique that improves the
accuracy of record-and-replay approaches, without requiring prior knowledge of
the service protocols. The approach uses Multiple Sequence Alignment to derive
message prototypes from recorded system interactions and a scheme to match
incoming request messages against prototypes to generate response messages. We
use a modified Needleman-Wunsch algorithm for distance calculation during
message matching. Our approach has shown greater than 99% accuracy for four
evaluated enterprise system messaging protocols. The approach has been
successfully integrated into the CA Service Virtualization commercial product
to complement its existing techniques.


title:
Quantum Suppression of Alignment in Ultrasmall Grains: Microwave
  Emission from Spinning Dust will be Negligibly Polarized

abstract:
  The quantization of energy levels in very nanoparticles suppresses
dissipative processes that convert grain rotational kinetic energy into heat.
For grains small enough to have GHz rotation rates, the suppression of
dissipation can be extreme. As a result, alignment of such grains is
suppressed. This applies both to alignment of the grain body with its angular
momentum J, and to alignment of J with the local magnetic field B_0. If the
anomalous microwave emission is rotational emission from spinning grains, it
will be negligibly polarized at GHz frequencies, with P < 10^{-6} at
frequencies above 10 GHz.


title: Symmetric group characters as symmetric functions

abstract:
  We introduce a basis of the symmetric functions that evaluates to the
(irreducible) characters of the symmetric group, just as the Schur functions
evaluate to the irreducible characters of $GL_n$ modules. Our main result gives
three different characterizations for this basis. One of the characterizations
shows that the structure coefficients for the (outer) product of these
functions are the stable Kronecker coefficients. The results in this paper
focus on developing the fundamental properties of this basis.


title:
Cross Domain Adaptation by Learning Partially Shared Classifiers and
  Weighting Source Data Points in the Shared Subspaces

abstract:
  Transfer learning is a problem defined over two domains. These two domains
share the same feature space and class label space, but have significantly
different distributions. One domain has sufficient labels, named as source
domain, and the other domain has few labels, named as target do- main. The
problem is to learn a effective classifier for the target domain. In this
paper, we propose a novel transfer learning method for this problem by learning
a partially shared classifier for the target domain, and weighting the source
domain data points. We learn some shared subspaces for both the data points of
the two domains, and a shared classifier in the shared subspaces. We hope that
in the shared subspaces, the distributions of two domain can match each other
well, and to match the distributions, we weight the source domain data points
with different weighting factors. Moreover, we adapt the shared classifier to
each domain by learning different adaptation functions. To learn the subspace
transformation matrices, the classifier parameters, and the adaptation
parameters, we build a objective function with weighted clas- sification
errors, parameter regularization, local reconstruction regularization, and
distribution matching. This objective function is minimized by an itera- tive
algorithm. Experiments show its effectiveness over benchmark data sets,
including travel destination review data set, face expression data set, spam
email data set, etc.


title: Be discs in binary systems I. Coplanar orbits

abstract:
  Be stars are surrounded by outflowing circumstellar matter structured in the
form of decretion discs. They are often members of binary systems, where it is
expected that the decretion disc interacts both radiatively and gravitationally
with the companion. In this work we study how various orbital (period, mass
ratio and eccentricity) and disc (viscosity) parameters affect the disc
structure in coplanar systems. We simulate such binaries with the use of a
smoothed particle hydrodynamics code. The main effects of the secondary on the
disc are its truncation and the accumulation of material inwards of truncation.
We find two cases with respect to the effects of eccentricity: (i) In circular
or nearly circular prograde orbits, the disc maintains a rotating, constant in
shape, configuration, which is locked to the orbital phase. The disc is smaller
in size, more elongated and more massive for low viscosity parameter, small
orbital separation and/or high mass ratio. (ii) Highly eccentric orbits are
more complex, with the disc structure and total mass strongly dependent on the
orbital phase and the distance to the secondary. We also study the effects of
binarity in the disc continuum emission. Since the infrared and radio SED are
sensitive to the disc size and density slope, the truncation and matter
accumulation result in considerable modifications in the emergent spectrum. We
conclude that binarity can serve as an explanation for the variability
exhibited in observations of Be stars, and that our model can be used to detect
invisible companions.


title:
Higgs Boson Mass and Muon g-2 with Strongly Coupled Vector-like
  Generations

abstract:
  We study the Higgs boson mass and the muon anomalous magnetic moment (the
muon $g-2$) in a supersymmetric standard model with vector-like generations.
The infrared physics of the model is governed by strong renormalization-group
effects of the gauge couplings. That leads to sizable extra Yukawa couplings of
Higgs doublets between the second and vector-like generations in both quark and
lepton sectors. It is found with this property that there exist wide parameter
regions where the Higgs boson mass and the muon $g-2$ are simultaneously
explained.


title: Learning to Communicate with Deep Multi-Agent Reinforcement Learning

abstract:
  We consider the problem of multiple agents sensing and acting in environments
with the goal of maximising their shared utility. In these environments, agents
must learn communication protocols in order to share information that is needed
to solve the tasks. By embracing deep neural networks, we are able to
demonstrate end-to-end learning of protocols in complex environments inspired
by communication riddles and multi-agent computer vision problems with partial
observability. We propose two approaches for learning in these domains:
Reinforced Inter-Agent Learning (RIAL) and Differentiable Inter-Agent Learning
(DIAL). The former uses deep Q-learning, while the latter exploits the fact
that, during learning, agents can backpropagate error derivatives through
(noisy) communication channels. Hence, this approach uses centralised learning
but decentralised execution. Our experiments introduce new environments for
studying the learning of communication protocols and present a set of
engineering innovations that are essential for success in these domains.


title:
Detection of Spatially-Modulated Signals in Doubly Selective Fading
  Channels With Imperfect CSI

abstract:
  To detect spatially-modulated signals, a receiver needs the channel state
information (CSI) of each transmit- receive antenna pair. Although the CSI is
never perfect and varies in time, most studies on spatial modulation (SM)
systems assume perfectly known CSI and time-invariant channel. The spatial
correlations among multiple spatial subchannels, which have to be considered
when CSI is imperfect, are also often neglected. In this paper, we release the
above assumptions and take the CSI uncertainty along with the spatial-temporal
selectivities into account. We derive the channel estimation error aware
maximum likelihood (CEEA-ML) detectors as well as several low- complexity
alternatives for PSK and QAM signals. As the CSI uncertainty depends on the
channel estimator used, we consider both decision feedback and model based
estimators in our study. The error rate performance of the ML and some
suboptimal detectors is analyzed. Numerical results obtained by simulations and
analysis show that the CEEA-ML detectors offer clear performance gain against
conventional mismatched SM detectors and, in many cases, the proposed
suboptimal detectors incur only minor performance loss.


title:
Mitigating Redundant Data Transfers for Mobile Web Applications via
  App-Specific Cache Space

abstract:
  Redundant transfer of resources is a critical issue for compromising the
performance of mobile Web applications (a.k.a., apps) in terms of data traffic,
load time, and even energy consumption. Evidence shows that the current cache
mechanisms are far from satisfactory. With lessons learned from how native apps
manage their resources, in this paper, we propose the ReWAP approach to
fundamentally reducing redundant transfers by restructuring the resource
loading of mobile Web apps. ReWAP is based on an efficient mechanism of
resource packaging where stable resources are encapsulated and maintained into
a package, and such a package shall be loaded always from the local storage and
updated by explicitly refreshing. By retrieving and analyzing the update of
resources, ReWAP maintains resource packages that can accurately identify which
resources can be loaded from the local storage for a considerably long period.
ReWAP also provides a wrapper for mobile Web apps to enable loading and
updating resource packages in the local storage as well as loading resources
from resource packages. ReWAP can be easily and seamlessly deployed into
existing mobile Web architectures with minimal modifications, and is
transparent to end-users. We evaluate ReWAP based on continuous 15-day access
traces of 50 mobile Web apps that suffer heavily from the problem of redundant
transfers. Compared to the original mobile Web apps with cache enabled, ReWAP
can significantly reduce the data traffic, with the median saving up to 51%. In
addition, ReWAP can incur only very minor runtime overhead of the client-side
browsers.


title:
Integrals Involving Rudin-Shapiro Polynomials and Sketch of a Proof of
  Saffari's Conjecture

abstract:
  Continuing pioneering work of Christophe Doche and Laurent Habsieger from
2004, we develop computer algebra algorithms, implemented in Maple, for finding
the (necessarily rational) generating function for any integral of products,
and in particular, moments, of Rudin-Shapiro polynomials. We generate a lot of
output, and confirm again a conjecture of Saffari for the asymptotics for small
(and not so small) powers. We also confirm, for small powers, a related, more
general, conjecture, of Hugh Montgomery. Finally, we outline a proof of
Saffari's full conjecture, that we believe can be turned into a full proof. [In
this version we report that Brad Rodgers has independently found a (complete!)
proof of Saffari's conjecture here http://arxiv.org/abs/1606.01637] .


title: Magnetotransport properties of the $\alpha$-T$_3$ model

abstract:
  Using the well-known Kubo formula, we evaluate magnetotransport quantities
like the collisional and Hall conductivities of the $\alpha$-T$_3$ model. The
collisional conductivity exhibits a series of peaks at strong magnetic field.
Each of the conductivity peaks for $\alpha=0$ (graphene) splits into two in
presence of a finite $\alpha$. This splitting occurs due to a finite phase
difference between the contributions coming from the two valleys. The density
of states is also calculated to explore the origin of the splitting of
conductivity peaks. As $\alpha$ approaches $1$, the right split part of the
conductivity peak comes closer to the left split part of the next conductivity
peak. At $\alpha=1$, they merge with each other to produce a new series of the
conductivity peaks. On the other hand, the Hall conductivity undergoes a smooth
transition from $\sigma_{yx}=2(2n+1)e^2/h$ to $\sigma_{yx}=4ne^2/h$ with
$n=0,1,2,...$ as we tune $\alpha$ from $0$ to $1$. For intermediate $\alpha$,
we obtain the Hall plateaus at values $0,2,4,6,8,...$ in units of $e^2/h$.


title: Toeplitz operators in the Herglotz space

abstract:
  We define and study Toeplitz operators in the space of Herglotz solutions of
the Helmholtz equation in $R^d$. As the most traditional definition of Toeplitz
operators via Bergman-type projection is not available here, we use an approach
based upon the reproducing kernel nature of the Herglotz space and sesquilinear
forms, which results in a meaningful theory. For two important patterns of
sesquilinear forms we discuss a number of properties, including the uniqueness
of determining the symbols from the operator, the finite rank property, the
conditions for boundedness and compactness, spectral properties, certain
algebraic relations.


title: Sparse Identification of Nonlinear Dynamics with Control (SINDYc)

abstract:
  Identifying governing equations from data is a critical step in the modeling
and control of complex dynamical systems. Here, we investigate the data-driven
identification of nonlinear dynamical systems with inputs and forcing using
regression methods, including sparse regression. Specifically, we generalize
the sparse identification of nonlinear dynamics (SINDY) algorithm to include
external inputs and feedback control. This method is demonstrated on examples
including the Lotka-Volterra predator--prey model and the Lorenz system with
forcing and control. We also connect the present algorithm with the dynamic
mode decomposition (DMD) and Koopman operator theory to provide a broader
context.


title: Toeplitz operators defined by sesquilinear forms: Bergman space case

abstract:
  The definition of Toeplitz operators in the Bergman space $A^2(D)$ of square
integrable analytic functions in the unit disk in the complex plane is extended
in such way that it covers many cases where the traditional definition does not
work. This includes, in particular, highly singular symbols such as measures,
distributions, and certain hyper-functions.


title: Harmonics Mitigation of Industrial Power System Using Passive Filters

abstract:
  With the development of modern industrial technology a large number of
non-linear loads are used in power system, which causes harmonic distortion in
the power system. At the same time the power quality and safe operation becomes
inferior. Therefore mitigation of harmonics is very necessary under the
situation. This paper presents the design of two passive filters to reduce the
current harmonics produced by nonlinear loads in industrial power system.
Matlab /simulink software has been used for the simulation purpose. The results
have been obtained with and without installation of filters and then it is
observed that after installation of filters harmonics of the current are
reduced and power factor is improved.


title:
Analysis of High Power Behavior in Piezoelectric Ceramics from a
  Mechanical Energy Density Perspective

abstract:
  In this work, a new methodology for comparing high power performance of
different piezoelectric materials is presented. When comparing high power
performance of piezoelectric materials of varying compositions and vibration
modes, there exists an inherent problem in comparing the mechanical quality
factor directly. Typically the behavior of the mechanical quality factor is
reported as a function of tip vibration velocity of the sample. This paper
shows why this approach can be inherently problematic and proposes an energy
approach to characterize the mechanical quality factor as the solution. By
utilizing mechanical energy density ($u_{e}$), the mass density of the material
system ($\rho$), and the vibration mode shape (e.g. $k_{31}$ and $k_{p}$) of
the sample are accounted for. Therefore, a better method to compare high power
performance of varying piezoelectric compositions is introduced. Furthermore,
the new method is applied to various compositions by using data available in
the literature. As a result, the high power behavior of the materials appear to
be significantly different when the new "energy density approach" is used to
compare the mechanical quality factor rather than vibration velocity. Also, the
technique's ability to be utilized to consolidate data from different
resonators to determine anisotropic loss factors is demonstrated on hard and
soft PZT samples of $k_{31}$ and $k_{p}$ geometries.


title: Non-unique lifting of integer variables in minimal inequalities

abstract:
  We explore the lifting question in the context of cut-generating functions.
Most of the prior literature on this question focuses on cut-generating
functions that have the unique lifting property. We develop a general theory
for understanding the lifting question for cut-generating functions that do not
necessarily have the unique lifting property.


title:
A simple estimate of gravitational wave memory in binary black hole
  systems

abstract:
  A simple estimate is given of gravitational wave memory for the inspiral and
merger of a binary black hole system. Here the memory is proportional to the
total energy radiated and has a simple angular dependence. This estimate might
be helpful as a consistency check for numerical relativity memory waveforms.


title: Observing dynamical friction in galaxy clusters

abstract:
  We present a novel method to detect the effects of dynamical friction in
observed galaxy clusters. Following accretion into clusters, massive satellite
galaxies will backsplash to systematically smaller radii than less massive
satellites, an effect that may be detected by stacking the number density
profiles of galaxies around clusters. We show that this effect may be
understood using a simple toy model which reproduces the trends with halo
properties observed in simulations. We search for this effect using SDSS
redMaPPer clusters with richness 10<lambda<20, and find that bright (M_i<-21.5)
satellites have smaller splashback radii than fainter (M_i>-20) satellites at
99% confidence.


title: The Chordal Loewner Equation and Monotone Probability Theory

abstract:
  In [5], O. Bauer interpreted the chordal Loewner equation in terms of
non-commutative probability theory. We follow this perspective and identify the
chordal Loewner equations as the non-autonomous versions of evolution equations
for semigroups in monotone and anti-monotone probability theory. We also look
at the corresponding equation for free probability theory.


title: On the extension of the frequency maps of the KdV and the KdV2 equations

abstract:
  In form of a case study for the KdV and the KdV2 equations, we present a
novel approach of representing the frequencies of integrable PDEs which allows
to extend them analytically to spaces of low regularity and to study their
asymptotics. Applications include convexity properties of the Hamiltonians and
wellposedness results in spaces of low regularity. In particular, it is proved
that on $H^{s}$ the KdV2 equation is $C^{0}$-wellposed if $s\ge 0$ and illposed
(in a strong sense) if $s < 0$.


title: Horizontal curves of hyperbolic metrics

abstract:
  We analyse the fine convergence properties of one parameter families of
hyperbolic metrics, on a fixed underlying surface, that move always in a
horizontal direction, i.e. orthogonal to the action of diffeomorphisms.


title:
Parallelizing asymptotically optimal algorithms for large-scale
  dualization problems

abstract:
  Dualization is a key discrete enumeration problem. It is not known whether or
not this problem is polynomial-time solvable. Asymptotically optimal
dualization algorithms are the fastest among the known dualization algorithms,
which is supported by new experiments with various data described in this
paper. A theoretical justification of the efficiency of these algorithms on the
average was given by E.V. Djukova more than 30 years ago. In this paper, new
results on the construction of parallel algorithms for intractable enumeration
problems are presented. A new static parallelization scheme for asymptotically
optimal dualization algorithms is developed and tested. The scheme is based on
statistical estimations of subtasks size.


title: Efficient Document Indexing Using Pivot Tree

abstract:
  We present a novel method for efficiently searching top-k neighbors for
documents represented in high dimensional space of terms based on the cosine
similarity. Mostly, documents are stored as bag-of-words tf-idf representation.
One of the most used ways of computing similarity between a pair of documents
is cosine similarity between the vector representations, but cosine similarity
is not a metric distance measure as it doesn't follow triangle inequality,
therefore most metric searching methods can not be applied directly. We propose
an efficient method for indexing documents using a pivot tree that leads to
efficient retrieval. We also study the relation between precision and
efficiency for the proposed method and compare it with a state of the art in
the area of document searching based on inner product.


title:
Experimental investigation of flow induced dust acoustic shock waves in
  a complex plasma

abstract:
  We report on experimental observations of flow induced large amplitude
dust-acoustic shock waves (DASW) in a complex plasma. The experiments have been
carried out in a $\Pi$ shaped DC glow discharge experimental device using
kaolin particles as the dust component in a background of Argon plasma. A
strong supersonic flow of the dust fluid is induced by adjusting the pumping
speed and neutral gas flow into the device. An isolated copper wire mounted on
the cathode acts as a potential barrier to the flow of dust particles. A sudden
change of gas flow rate is used to trigger the onset of high velocity dust
acoustic shocks whose dynamics are captured by fast video pictures of the
evolving structures. The physical characteristics of these shocks are
delineated through a parametric scan of their dynamical properties over a range
of flow speeds and potential hill heights. The observed evolution of the shock
waves and their propagation characteristics are found to compare well with
model numerical results based on a modified Korteweg-de-Vries-Burgers type
equation.


title: Fine-to-coarse Knowledge Transfer For Low-Res Image Classification

abstract:
  We address the difficult problem of distinguishing fine-grained object
categories in low resolution images. Wepropose a simple an effective deep
learning approach that transfers fine-grained knowledge gained from high
resolution training data to the coarse low-resolution test scenario. Such
fine-to-coarse knowledge transfer has many real world applications, such as
identifying objects in surveillance photos or satellite images where the image
resolution at the test time is very low but plenty of high resolution photos of
similar objects are available. Our extensive experiments on two standard
benchmark datasets containing fine-grained car models and bird species
demonstrate that our approach can effectively transfer fine-detail knowledge to
coarse-detail imagery.


title: On the straightening law for minors of a matrix

abstract:
  We give a simple new proof for the straightening law of Doubilet, Rota, and
Stein using a generalization of the Laplace expansion of a determinant.


title: Complexity of Prefix-Convex Regular Languages

abstract:
  A language $L$ over an alphabet $\Sigma$ is prefix-convex if, for any words
$x,y,z\in\Sigma^*$, whenever $x$ and $xyz$ are in $L$, then so is $xy$.
Prefix-convex languages include right-ideal, prefix-closed, and prefix-free
languages. We study complexity properties of prefix-convex regular languages.
In particular, we find the quotient/state complexity of boolean operations,
product (concatenation), star, and reversal, the size of the syntactic
semigroup, and the quotient complexity of atoms. For binary operations we use
arguments with different alphabets when appropriate; this leads to higher tight
upper bounds than those obtained with equal alphabets. We exhibit most complex
prefix-convex languages that meet the complexity bounds for all the measures
listed above.


title:
The moduli space of Type~A surfaces with torsion and non-singular
  symmetric Ricci tensor

abstract:
  We examine the moduli spaces of Type~A connections on oriented and unoriented
surfaces both with and without torsion in relation to the signature of the
associated symmetric Ricci tensor. If the signature of the symmetric Ricci
tensor is (1,1) or (0,2), the moduli spaces are smooth. If the signature is
(2,0), there is an orbifold singularity.


title:
Multiplicity and rapidity dependence of strange hadron production in pp,
  pPb, and PbPb collisions at the LHC

abstract:
  Measurements of strange hadron (K0s, Lambda + anti-Lambda, and Xi+ + Xi-)
transverse momentum spectra in pp, pPb, and PbPb collisions are presented over
a wide range of rapidity and event charged-particle multiplicity. The data were
collected with the CMS detector at the CERN LHC in pp collisions at sqrt(s) = 7
TeV, pPb collisions at sqrt(s[NN]) = 5.02 TeV, and PbPb collisions at
sqrt(s[NN]) = 2.76 TeV. The average transverse kinetic energy is found to
increase with multiplicity, at a faster rate for heavier strange particle
species in all systems. At similar multiplicities, the difference in average
transverse kinetic energy between different particle species is observed to be
larger for pp and pPb events than for PbPb events. In pPb collisions, the
average transverse kinetic energy is found to be slightly larger in the
Pb-going direction than in the p-going direction for events with large
multiplicity. The spectra are compared to models motivated by hydrodynamics.


title:
The impact of the financial crisis on the long-range memory of European
  corporate bond and stock markets

abstract:
  This paper investigates the presence of long memory in corporate bond and
stock indices of six European Union countries from July 1998 to February 2015.
We compute the Hurst exponent by means of the DFA method and using a sliding
window in order to measure long range dependence. We detect that Hurst
exponents behave differently in the stock and bond markets, being smoother in
the stock indices than in the bond indices. We verify that the level of
informational efficiency is time-varying. Moreover we find an asymmetric impact
of the 2008 financial crisis in the fixed income and the stock markets,
affecting the former but not the latter. Similar results are obtained using the
R/S method.


title: Colorful Subhypergraphs in Uniform Hypergraphs

abstract:
  There are several topological results ensuring the existence of a large
complete bipartite subgraph in any properly colored graph satisfying some
special topological regularity conditions. In view of $\mathbb{Z}_p$-Tucker
lemma, Alishahi and Hajiabolhassan [{\it On the chromatic number of general
Kneser hypergraphs, Journal of Combinatorial Theory, Series B, 2015}]
introduced a lower bound for the chromatic number of Kneser hypergraphs ${\rm
KG}^r({\mathcal H})$. Next, Meunier [{\it Colorful subhypergraphs in Kneser
hypergraphs, The Electronic Journal of Combinatorics, 2014}] improved their
result by proving that any properly colored general Kneser hypergraph ${\rm
KG}^r({\mathcal H})$ contains a large colorful $r$-partite subhypergraph
provided that $r$ is prime. In this paper, we give some new generalizations of
$\mathbb{Z}_p$-Tucker lemma. Hence, improving Meunier's result in some aspects.
Some new lower bounds for the chromatic number and local chromatic number of
uniform hypergraphs are presented as well.


title: On cap sets and the group-theoretic approach to matrix multiplication

abstract:
  In 2003, Cohn and Umans described a framework for proving upper bounds on the
exponent $\omega$ of matrix multiplication by reducing matrix multiplication to
group algebra multiplication, and in 2005 Cohn, Kleinberg, Szegedy, and Umans
proposed specific conjectures for how to obtain $\omega=2$. In this paper we
rule out obtaining $\omega=2$ in this framework from abelian groups of bounded
exponent. To do this we bound the size of tricolored sum-free sets in such
groups, extending the breakthrough results of Croot, Lev, Pach, Ellenberg, and
Gijswijt on cap sets. As a byproduct of our proof, we show that a variant of
tensor rank due to Tao gives a quantitative understanding of the notion of
unstable tensor from geometric invariant theory.


title: Kernel estimation of the intensity of Cox processes

abstract:
  Counting processes often written $N=(N_t)_{t\in\mathbb{R}^+}$ are used in
several applications of biostatistics, notably for the study of chronic
diseases. In the case of respiratory illness it is natural to suppose that the
count of the visits of a patient can be described by such a process which
intensity depends on environmental covariates. Cox processes (also called
doubly stochastic Poisson processes) allows to model such situations. The
random intensity then writes $\lambda(t)=\theta(t,Z_t)$ where $\theta$ is a
non-random function, $t\in\mathbb{R}^+$ is the time variable and
$(Z_t)_{t\in\mathbb{R}^+}$ is the $d$-dimensional covariates process. For a
longitudinal study over $n$ patients, we observe
$(N_t^k,Z_t^k)_{t\in\mathbb{R}^+}$ for $k=1,\ldots,n$. The intention is to
estimate the intensity of the process using these observations and to study the
properties of this estimator.


title:
Tangled up in Blue (A Survey on Connectivity, Decompositions, and
  Tangles)

abstract:
  We survey an abstract theory of connectivity, based on symmetric submodular
set functions. We start by developing Robertson and Seymour's fundamental
duality between branch decompositions (related to the better-known tree
decompositions) and so-called tangles, which may be viewed as highly connected
regions in a connectivity system. We move on to studying canonical
decompositions of connectivity systems into their maximal tangles. Last, but
not least, we will discuss algorithmic aspect of the theory.


title: An extensive catalogue of early-type galaxies in the nearby Universe

abstract:
  We present a catalogue of 1715 early-type galaxies from the literature,
spanning the luminosity range from faint dwarf spheroidal galaxies to giant
elliptical galaxies. The aim of this catalogue is to be one of the most
comprehensive and publicly available collections of data on early-type
galaxies. The emphasis in this catalogue lies on dwarf elliptical galaxies, for
which some samples with detailed data have been published recently. For almost
all of the early-type galaxies included in it, this catalogue contains data on
their locations, distances, redshifts, half-light radii, the masses of their
stellar populations and apparent magnitudes in various passbands. Data on
metallicity and various colours are available for a majority of the galaxies
presented here. The data on magnitudes, colours, metallicities and masses of
the stellar populations is supplemented with entries that are based on fits to
data from simple stellar population models and existing data from observations.
Also, some simple transformations have been applied to the data on magnitudes,
colours and metallicities in this catalog, in order to increase the homogeneity
of this data. Estimates on the S\'{e}rsic profiles, internal velocity
dispersions, maximum rotational velocities, dynamical masses and ages are
listed for several hundreds of the galaxies in this catalogue. Finally, each
quantity listed in this catalogue is accompanied with information on its
source, so that users of this catalogue can easily exclude data that they do
not consider as reliable enough for their purposes.


title:
Velvet Worms (Onychophora) in Folklore and Art: Geographic Pattern,
  Types of Cultural Reference and Public Perception

abstract:
  Aims: To document and preserve folkloric beliefs and art inspired by velvet
worms (Onychophora), rare invertebrates that are considered "living fossils",
have full placental organs and capture prey with a rough "net" built in a
fraction of a second. Study Design: This study is a combination of field
interviews, online surveys and automatic database search. Methods: We asked
open-ended questions to farmers who know the worms, consulted experts and
searched the Internet to document folkloric and artistic instances using all
the names that these animals receive in English, Spanish and Portuguese
(languages of the countries where they occur) as well as other languages, and
automatic image search, in Web of Science, CrossRef, Google Scholar and Google.
Results: We found more than 80 cases of direct references to velvet worms in
folklore and art, mostly from the USA, Australia, Brazil, Costa Rica and New
Zealand. Per capita the countries with more cases are New Zealand (24 cases per
million inhabitants), Costa Rica (16 cases per million inhabitants) and
Australia (3 cases per million inhabitants). The most frequent expressions are
cartoons, followed by tourism agencies using velvet worms in their ads,
products with velvet worm representations, folkloric beliefs, and music bands
or songs named after them. In almost all cases the animals are seen in a
favorable light, inspiring folklore and art that highlight their extraordinary
nature. Conclusion: The unique prey capture mechanism of velvet worms seems to
have inspired an unexpected number of artistic and folkloric expressions,
preserved for the future in the present article, which starts a totally new
line of research: the effect of "living fossils" on human culture.


title:
Selecting 3D Chaotic Flow States for Accelerated DNA Replication in
  Micro Scale Convective PCR

abstract:
  Micro-scale flow in cylindrical geometries can harness chaotic advection to
perform complex thermally activated biochemical reactions such as the
polymerase chain reaction (PCR). We have applied a 3D computational fluid
dynamics model to resolve the complex flow patterns in such geometries. The
resulting 3D flow trajectories are then used as input to a kinetic model to
resolve the time evolution of DNA replication process. A simple mass action
kinetic model was developed to couple these biochemical reactions with the
intricate flow. Residence time analysis of virtual particles in the flow
revealed that the flow has a strong chaotic component in wider geometries in
comparison with taller geometries (quasi periodic motion). This work shows, for
the first time that the chaotic aspect of the flow field plays a key role in
determining the strength of the coupling between the reactions and the flow.
Our model can quantify the doubling times of these reactions capturing the lag,
exponential and plateau phases of PCR. It predicts that doubling times are
lower in wider geometries, in agreement with experimental results.


title: Automatic Detection of Epileptiform Discharges in the EEG

abstract:
  The diagnosis of epilepsy generally includes a visual inspection of EEG
recorded data by the Neurologist, with the purpose of checking the occurrence
of transient waveforms called interictal epileptiform discharges. These
waveforms have short duration (less than 100 ms), so the inspection process is
usually time-consuming, particularly for ambulatory long term EEG records.
Therefore, an automatic detection system of epileptiform discharges can be a
valuable tool for a Neurology service. The proposed approach is the development
of a multi stage detection algorithm, which processes the complete EEG signals
and applies decision criteria to selected waveforms. It employs EEG analysis
techniques such as Wavelet Transform and Mimetic Analysis, complemented with a
classification based on Fuzzy Logic. In order to evaluate the algorithm's
performance, data were collected from several epileptic patients, with
epileptiform activity marked by a Neurologist. The average values obtained for
both Sensitivity and Specificity were respectively higher than 80 and 70
percent.


title: The k-metric dimension of graphs: a general approach

abstract:
  Let $(X,d)$ be a metric space. A set $S\subseteq X$ is said to be a
$k$-metric generator for $X$ if and only if for any pair of different points
$u,v\in X$, there exist at least $k$ points $w_1,w_2, \ldots w_k\in S$ such
that $d(u,w_i)\ne d(v,w_i),\; \mbox{\rm for all}\; i\in \{1, \ldots k\}.$ Let
$\mathcal{R}_k(X)$ be the set of metric generators for $X$. The $k$-metric
dimension $\dim_k(X)$ of $(X,d)$ is defined as $$\dim_k(X)=\inf\{|S|:\, S\in
\mathcal{R}_k(X)\}.$$ Here, we discuss the $k$-metric dimension of $(V,d_t)$,
where $V$ is the set of vertices of a simple graph $G$ and the metric
$d_t:V\times V\rightarrow \mathbb{N}\cup \{0\}$ is defined by
$d_t(x,y)=\min\{d(x,y),t\}$ from the geodesic distance $d$ in $G$ and a
positive integer $t$. The case $t\ge D(G)$, where $D(G)$ denotes the diameter
of $G$, corresponds to the original theory of $k$-metric dimension and the case
$t=2$ corresponds to the theory of $k$-adjacency dimension. Furthermore, this
approach allows us to extend the theory of $k$-metric dimension to the general
case of non-necessarily connected graphs.


title: Chess Player by Co-Evolutionary Algorithm

abstract:
  A co-evolutionary algorithm (CA) based chess player is presented.
Implementation details of the algorithms, namely coding, population, variation
operators are described. The alpha-beta or mini-max like behaviour of the
player is achieved through two competitive or cooperative populations. Special
attention is given to the fitness function evaluation (the heart of the
solution). Test results on algorithms vs. algorithms or human player is
provided.


title: Learning From Hidden Traits: Joint Factor Analysis and Latent Clustering

abstract:
  Dimensionality reduction techniques play an essential role in data analytics,
signal processing and machine learning. Dimensionality reduction is usually
performed in a preprocessing stage that is separate from subsequent data
analysis, such as clustering or classification. Finding reduced-dimension
representations that are well-suited for the intended task is more appealing.
This paper proposes a joint factor analysis and latent clustering framework,
which aims at learning cluster-aware low-dimensional representations of matrix
and tensor data. The proposed approach leverages matrix and tensor
factorization models that produce essentially unique latent representations of
the data to unravel latent cluster structure -- which is otherwise obscured
because of the freedom to apply an oblique transformation in latent space. At
the same time, latent cluster structure is used as prior information to enhance
the performance of factorization. Specific contributions include several
custom-built problem formulations, corresponding algorithms, and discussion of
associated convergence properties. Besides extensive simulations, real-world
datasets such as Reuters document data and MNIST image data are also employed
to showcase the effectiveness of the proposed approaches.


title: Triangle diagram in heavy-baryon chiral perturbation theory

abstract:
  The pion-baryon triangle diagram is inspected for a special kinematic region
where the squared momentum transfer $t$ is close to $4m_\pi^2$: $|t - 4m_\pi^2|
\lesssim m_\pi^4/m_N^2$. Instead of arguing on the ground of anomalous
threshold, we investigate possible impacts on power counting. The pion can have
very small energies, as opposed to $\sim m_\pi$ in the physical region, which
allows all three propagators to be extremely near their mass shell and
contributes significantly to the loop integral. We find that in this narrow
kinematic window the static-limit approximation for the baryon propagator is
invalid and the resummation of the kinetic energy is necessary. Interestingly,
in contrast to low-energy two-baryon processes, this resummation of baryon
recoils does not lead to overall enhancement of power counting of the diagram.


title:
Gauge fixing and renormalisation scale independence of tunneling rate in
  abelian Higgs model and in the Standard Model

abstract:
  We explicitly show perturbative gauge fixing independence of the tunneling
rate to a stable radiatively induced vacuum in the abelian Higgs model. We work
with a class of $R_\xi$ gauges in the presence of both dimensionless and
dimensionful gauge fixing parameters. We show that Nielsen identities survive
the inclusion of higher order oparators and compute the tunnelling rate to the
vacua modified by the nonrenormalisable operators in a gauge invariant manner.
We also discuss implications of this method for the complete Standard Model.


title: Evolutionary Demographic Algorithms

abstract:
  Most of the problems in genetic algorithms are very complex and demand a
large amount of resources that current technology can not offer. Our purpose
was to develop a Java-JINI distributed library that implements Genetic
Algorithms with sub-populations (coarse grain) and a graphical interface in
order to configure and follow the evolution of the search. The sub-populations
are simulated/evaluated in personal computers connected trough a network,
keeping in mind different models of sub-populations, migration policies and
network topologies. We show that this model delays the convergence of the
population keeping a higher level of genetic diversity and allows a much
greater number of evaluations since they are distributed among several
computers compared with the traditional Genetic Algorithms.


title: Factored Temporal Sigmoid Belief Networks for Sequence Learning

abstract:
  Deep conditional generative models are developed to simultaneously learn the
temporal dependencies of multiple sequences. The model is designed by
introducing a three-way weight tensor to capture the multiplicative
interactions between side information and sequences. The proposed model builds
on the Temporal Sigmoid Belief Network (TSBN), a sequential stack of Sigmoid
Belief Networks (SBNs). The transition matrices are further factored to reduce
the number of parameters and improve generalization. When side information is
not available, a general framework for semi-supervised learning based on the
proposed model is constituted, allowing robust sequence classification.
Experimental results show that the proposed approach achieves state-of-the-art
predictive and classification performance on sequential data, and has the
capacity to synthesize sequences, with controlled style transitioning and
blending.


title: A geometric-Structure Theory for maximally Random Jammed Packings

abstract:
  Maximally random jammed (MRJ) particle packings can be viewed as prototypical
glasses in that they are maximally disordered while simultaneously being
mechanically rigid. The prediction of the MRJ packing density phi, among other
packing properties of frictionless particles, still poses many theoretical
challenges, even for congruent spheres or disks. Using the geometric-structure
approach, we derive for the first time a highly accurate formula for MRJ
densities for a very wide class of twodimensional frictionless packings,
namely, binary convex superdisks, with shapes that continuously interpolate
between circles and squares.


title:
New analytic criterion for porous solids with pressure-insensitive
  matrix

abstract:
  In this paper, we address the question of how the relative weighting of the
two invariants of the plastic deformation of the matrix influence the
mechanical response of a porous metallic material. To this end, we first
propose a new isotropic potential for description of the plastic behavior of
the matrix that depends on both invariants of the strain-rate deviator. The
relative weight of the two invariants is described by a material parameter b.
Depending on the sign of the parameter b, the new plastic potential for the
matrix is either interior to von Mises strain-rate potential (b <0), coincides
with it (b =0) or it is exterior to it. Next, an analytic criterion for a
porous solid with matrix governed by the new strain-rate potential is obtained
using rigorous upscaling methods. Analysis is conducted for both tensile and
compressive axisymmetric loading scenarios and spherical void geometry. No
simplifying approximations are considered when estimating the local and overall
plastic dissipation, respectively. It is shown that the value of b has a
drastic influence on all aspects of the mechanical response. There is a value b
= b *<0such that there is almost no influence of J3 on the mechanical response
of the porous solid. If the matrix is characterized by b > b*, the response of
the porous material for tensile loadings and J3>0 is softer than that for
loadings at J3<0. The reverse holds true for b < b *. The noteworthy result is
that irrespective of the value of the parameter b, the response of the porous
solid is harder than that of a porous Tresca material. However, depending on
the value of b, the rate of void growth or collapse can be either faster or
slower than that of a porous Mises material.


title: The De-Biased Whittle Likelihood

abstract:
  The Whittle likelihood is a widely used and computationally efficient
pseudo-likelihood. However, it is known to produce biased parameter estimates
for large classes of models. We propose a method for de-biasing Whittle
estimates for second-order stationary stochastic processes. The de-biased
Whittle likelihood can be computed in the same $\mathcal{O}(n\log n)$
operations as the standard approach. We demonstrate the superior performance of
the method in simulation studies and in application to a large-scale
oceanographic dataset, where in both cases the de-biased approach reduces bias
by up to two orders of magnitude, achieving estimates that are close to exact
maximum likelihood, at a fraction of the computational cost. We prove that the
method yields estimates that are consistent at an optimal convergence rate of
$n^{-1/2}$, under weaker assumptions than standard theory, where we do not
require that the power spectral density is continuous in frequency. We describe
how the method can be easily combined with standard methods of bias reduction,
such as tapering and differencing, to further reduce bias in parameter
estimates.


title:
(Modular) Effect Algebras are Equivalent to (Frobenius) Antispecial
  Algebras

abstract:
  Effect algebras are one of the generalizations of Boolean algebras proposed
in the quest for a quantum logic. Frobenius algebras are a tool of categorical
quantum mechanics, used to present various families of observables in abstract,
often nonstandard frameworks. Both effect algebras and Frobenius algebras
capture their respective fragments of quantum mechanics by elegant and succinct
axioms; and both come with their conceptual mysteries. A particularly elegant
and mysterious constraint, imposed on Frobenius algebras to characterize a
class of tripartite entangled states, is the antispecial law. A particularly
contentious issue on the quantum logic side is the modularity law, proposed by
von Neumann to mitigate the failure of distributivity of quantum logical
connectives. We show that, if quantum logic and categorical quantum mechanics
are formalized in the same framework, then the antispecial law of categorical
quantum mechanics corresponds to the natural requirement of effect algebras
that the units are each other's unique complements; and that the modularity law
corresponds to the Frobenius condition. These correspondences lead to the
equivalence announced in the title. Aligning the two formalisms, at the very
least, sheds new light on the concepts that are more clearly displayed on one
side than on the other (such as e.g. the orthogonality). Beyond that, it may
also open up new approaches to deep and important problems of quantum mechanics
(such as the classification of complementary observables).


title:
The conjectured S-type retrograde planet in nu Octantis: more evidence
  including four years of iodine-cell radial velocities

abstract:
  We report 1212 radial-velocity (RV) measurements obtained in the years
2009-2013 using an iodine cell for the spectroscopic binary nu Octantis
(K1III/IV). This system (a_bin~2.6 au, P~1050 days) is conjectured to have a
Jovian planet with a semi-major axis half that of the binary host. The extreme
geometry only permits long-term stability if the planet is in a retrograde
orbit. Whilst the reality of the planet (P~415 days) remains uncertain, other
scenarios (stellar variability or apsidal motion caused by a yet unobserved
third star) continue to appear substantially less credible based on CCF
bisectors, line-depth ratios and many other independent details. If this
evidence is validated but the planet is disproved, the claims of other planets
using RVs will be seriously challenged.
  We also describe a significant revision to the previously published RVs and
the full set of 1437 RVs now encompasses nearly 13 years. The sensitive orbital
dynamics allow us to constrain the three-dimensional architecture with a broad
prior probability distribution on the mutual inclination, which with posterior
samples obtained from an N-body Markov chain Monte Carlo is found to be 158.4
+/- 1.2 deg. None of these samples are dynamically stable beyond 1 Myr.
However, a grid search around the best-fitting solution finds a region that has
many models stable for 10 Myr, and includes one model within 1-sigma that is
stable for at least 100 Myr. The planet's exceptional nature demands robust
independent verification and makes the theoretical understanding of its
formation a worthy challenge.


title: The Emotional and Chromatic Layers of Urban Smells

abstract:
  People are able to detect up to 1 trillion odors. Yet, city planning is
concerned only with a few bad odors, mainly because odors are currently
captured only through complaints made by urban dwellers. To capture both good
and bad odors, we resort to a methodology that has been recently proposed and
relies on tagging information of geo-referenced pictures. In doing so for the
cities of London and Barcelona, this work makes three new contributions. We
study 1) how the urban smellscape changes in time and space; 2) which emotions
people share at places with specific smells; and 3) what is the color of a
smell, if it exists. Without social media data, insights about those three
aspects have been difficult to produce in the past, further delaying the
creation of urban restorative experiences.


title:
Hybrid evolutionary algorithm with extreme machine learning fitness
  function evaluation for two-stage capacitated facility location problem

abstract:
  This paper considers the two-stage capacitated facility location problem
(TSCFLP) in which products manufactured in plants are delivered to customers
via storage depots. Customer demands are satisfied subject to limited plant
production and limited depot storage capacity. The objective is to determine
the locations of plants and depots in order to minimize the total cost
including the fixed cost and transportation cost. A hybrid evolutionary
algorithm (HEA) with genetic operations and local search is proposed. To avoid
the expensive calculation of fitness of population in terms of computational
time, the HEA uses extreme machine learning to approximate the fitness of most
of the individuals. Moreover, two heuristics based on the characteristic of the
problem is incorporated to generate a good initial population.
  Computational experiments are performed on two sets of test instances from
the recent literature. The performance of the proposed algorithm is evaluated
and analyzed. Compared with the state-of-the-art genetic algorithm, the
proposed algorithm can find the optimal or near-optimal solutions in a
reasonable computational time.


title: The boundedness of Bessel-Riesz operators on generalized Morrey spaces

abstract:
  In this paper, we prove the boundedness of Bessel-Riesz operators on
generalized Morrey spaces. The proof uses the usual dyadic decomposition, a
Hedberg-type inequality for the operators, and the boundedness of
Hardy-Littlewood maximal operator. Our results reveal that the norm of the
operators is dominated by the norm of the kernels.


title: Heisenberg uniqueness pairs for some algebraic curves and surfaces

abstract:
  Let $X(\Gamma)$ be the space of all finite Borel measure $\mu$ in $\mathbb
R^2$ which is supported on the curve $\Gamma$ and absolutely continuous with
respect to the arc length of $\Gamma$. For $\Lambda\subset\mathbb R^2,$ the
pair $\left(\Gamma, \Lambda\right)$ is called a Heisenberg uniqueness pair for
$X(\Gamma)$ if any $\mu\in X(\Gamma)$ satisfies $\hat\mu\vert_\Lambda=0,$
implies $\mu=0.$ We explore the Heisenberg uniqueness pairs corresponding to
the cross, exponential curves, and surfaces. Then, we prove a characterization
of the Heisenberg uniqueness pairs corresponding to finitely many parallel
lines. We observe that the size of the determining sets $\Lambda$ for
$X(\Gamma)$ depends on the number of lines and their irregular distribution
that further relates to a phenomenon of interlacing of certain trigonometric
polynomials.


title:
Mixed Models: Combining Incompatible Scalar Models in Any Spacetime
  Dimension

abstract:
  Traditionally, covariant scalar field theory models are either super
renormalizable, strictly renormalizable, or nonrenormalizable. The goal of
`Mixed Models' is to make sense of sums of these distinct examples, e.g.,
$g\varphi^4_3+g'\varphi^6_3+g''\varphi^8_3$, which includes an example of each
kind for spacetime dimension $n=3$. We show how the several interactions such
mixed models have may be turned on and off in any order without any
difficulties. Analogous results are shown for $g\varphi^4_n+g'\varphi^{138}_n$,
etc., for all $n\ge3$. Different categories hold for $n=2$ such as, e.g., ${g
P(\varphi)_2+g' N\!P}(\varphi)_2$, that involve polynomial ($P$) and suitable
nonpolynomial ($N\!P$) interactions, etc. Analogous situations for $n=1$ (time
alone) offer simple `toy' examples of how such mixed models may be constructed.


title:
Effect of ion mass on pair production in the interaction of an
  ultraintense laser with overdense plasmas

abstract:
  The effect of ion mass on pair production in the interaction of an
ultraintense laser with overdense plasmas has been explored by particle-in-cell
(PIC) simulation. It is found that the heavier ion mass excites the higher and
broader electrostatic field, which is responsible for the enhancement of
backward photon number. The pair yields are also reinforced due to the increase
of head-on collision of backwards photon with incoming laser. By examining the
density evolution and angle distribution of each particle species the origin of
pair yields enhancement has been clarified further.


title: Electron-positron pair creation characterized by the conversion energy

abstract:
  It is demonstrated that a pair can be characterized under which mechanism it
was created according to its conversion energy, a quantity defined as the sum
of electron and its conjugate positron's mass-energy, in the study of
electron-positron pair creation. The value of this quantity is checked with
quantum field theoretical simulations for several field configurations and
found that it can describe the creation process with rich physical picture,
showing all the creation channels and giving the yields of each channel
specifically. Evenly as a very convenient and powerful detection quantity it
can be applicable to some complicated pair creation processes such as that
triggered by cooperation of two different photons as well as the dynamically
assisted Schwinger mechanism.


title:
High-Speed Bullet Ejections during the AGB to Planetary Nebula
  Transition: HST Observations of the Carbon Star, V Hydrae

abstract:
  The well-studied carbon star, V Hya, showing evidence for high-speed,
collimated outflows and dense equatorial structures, is a key object in the
study of the poorly understood transition of AGB stars into aspherical
planetary nebulae. Using the STIS instrument onboard HST, we have obtained high
spatial-resolution long-slit optical spectra of V Hya that show high-velocity
emission in [SII] and [FeII] lines. Our dataset, spanning three epochs spaced
apart by a year during each of two periods (in 2002-2004 and 2011-2013), shows
that V Hya ejects high-speed (about 200-250 km/s) bullets once every ~8.5 yr.
The ejection axis flip-flops around a roughly eastern direction, both in and
perpendicular to the sky-plane, and the radial velocities of the ejecta also
vary in concert between low and high values. We propose a model in which the
bullet ejection is associated with the periastron passage of a binary companion
in an eccentric orbit around V Hya with an orbital period of ~8.5 yr. The
flip-flop phenomenon is likely the result of collimated ejection from an
accretion disk (produced by gravitational capture of material from the primary)
that is warped and precessing, and/or that has a magnetic field that is
misaligned with that of the companion or the primary star. We show how a
previously observed 17-year period in V Hya's light-cycle can also be explained
in our model. Additionally, we describe how the model proposed here can be
extended to account for multipolar nebulae.


title: Enterprise Software Service Emulation: Constructing Large-Scale Testbeds

abstract:
  Constructing testbeds for systems which are interconnected with large
networks of other software services is a challenging task. It is particularly
difficult to create testbeds facilitating evaluation of the non-functional
qualities of a system, such as scalability, that can be expected in production
deployments. Software service emulation is an approach for creating such
testbeds where service behaviour is defined by emulate-able models executed in
an emulation runtime environment. We present (i) a meta-modelling framework
supporting emulate-able service modelling (including messages, protocol,
behaviour and states), and (ii) Kaluta, an emulation environment able to
concurrently execute large numbers (thousands) of service models, providing a
testbed which mimics the behaviour and characteristics of large networks of
interconnected software services. Experiments show that Kaluta can emulate
10,000 servers using a single physical machine, and is a practical testbed for
scalability testing of a real, enterprise-grade identity management suite. The
insights gained into the tested enterprise system were used to enhance its
design.


title:
Short-Channel Field Effect Transistors with 9-Atom and 13-Atom wide
  Graphene Nanoribbons

abstract:
  Bottom-up synthesized GNRs and GNR heterostructures have promising electronic
properties for high performance field effect transistors (FETs) and ultra-low
power devices such as tunnelling FETs. However, the short length and wide band
gap of these GNRs have prevented the fabrication of devices with the desired
performance and switching behaviour. Here, by fabricating short channel (Lch
~20 nm) devices with a thin, high-k gate dielectric and a 9-atom wide (0.95 nm)
armchair GNR as the channel material, we demonstrate FETs with high on-current
(Ion >1 uA at Vd = -1 V) and high Ion/Ioff ~10^5 at room temperature. We find
that the performance of these devices is limited by tunnelling through the
Schottky barrier (SB) at the contacts and we observe an increase in the
transparency of the barrier by increasing the gate field near the contacts. Our
results thus demonstrate successful fabrication of high performance
short-channel FETs with bottom-up synthesized armchair GNRs.


title: Group trisections and smooth 4-manifolds

abstract:
  A trisection of a smooth, closed, oriented 4-manifold is a decomposition into
three 4-dimensional 1-handlebodies meeting pairwise in 3-dimensional
1-handlebodies, with triple intersection a closed surface. The fundamental
groups of the surface, the 3-dimensional handlebodies, the 4-dimensional
handlebodies, and the closed 4-manifold, with homomorphisms between them
induced by inclusion, form a commutative diagram of epimorphisms, which we call
a trisection of the 4-manifold group. A trisected 4-manifold thus gives a
trisected group; here we show that every trisected group uniquely determines a
trisected 4-manifold. Together with Gay and Kirby's existence and uniqueness
theorem for 4-manifold trisections, this gives a bijection from group
trisections modulo isomorphism and a certain stabilization operation to smooth,
closed, connected, oriented 4-manifolds modulo diffeomorphism. As a
consequence, smooth 4-manifold topology is, in principle, entirely group
theoretic. For example, the smooth 4-dimensional Poincar\'e conjecture can be
reformulated as a purely group theoretic statement.


title:
Ground state solutions for the nonlinear fractional Schrodinger-Poisson
  system

abstract:
  In this paper, we study the existence of ground state solutions for the
nonlinear fractional Schr\"{o}dinger-Poisson system \begin{equation*} \left\{
\begin{array}{ll} (-\Delta)^su+V(x)u+\phi u=|u|^{p-1}u, & \hbox{in
$\mathbb{R}^3$,} (-\Delta)^s\phi=u^2,& \hbox{in $\mathbb{R}^3$,} \end{array}
\right. \end{equation*} where $2<p<2_s^{\ast}-1 = \frac{3+2s}{3-2s}$,
$s\in(\frac{3}{4},1)$. Under certain assumptions on $V$, a nontrivial ground
state solution $(u,\phi)$ is established through using a monotonicity trick and
global compactness Lemma. As its supplementary results, we prove some
nonexistence results in the case of $1<p\leq 2$ and $p=2_s^{\ast}-1$.


title: Representations of twisted Yangians of types B, C, D: I

abstract:
  We initiate a theory of highest weight representations for twisted Yangians
of types B, C, D and we classify the finite-dimensional irreducible
representations of twisted Yangians associated to symmetric pairs of types CI,
DIII and BCD0.


title:
Basic theory of a class of linear functional differential equations with
  multiplication delay

abstract:
  By introducing a kind of special functions namely exponent-like function,
cosine-like function and sine-like function, we obtain explicitly the basic
structures of solutions of initial value problem at the original point for this
kind of linear pantograph equations. In particular, we get the complete results
on the existence, uniqueness and non-uniqueness of the initial value problems
at a general point for the kind of linear pantograph equations.


title:
Tensors in Power System Computation I: Distributed Computation for
  Optimal Power Flow, DC OPF

abstract:
  Tensor decomposition plays a key role in identifying common features across a
collection of matrices in many areas of science. A fundamental need in big data
research is to process data tabulated as large-scale matrices using
eigenvectors. A higher order generalized singular value decomposition technique
successfully captures the common features of the same organ from multiple
animals in genomic signal processing. A recent semidefinite programming
approach to solve an AC optimal power flow was accompanied by the problem
formulation in the Cartesian coordinate system. The collection of nodal
Kirchhoff laws introduces a 3D tensor with a common feature of individual
matrices to maintain local power balance. In this paper, the mathematical
process is established and the common feature is identified. The common feature
is a key element to a fully decentralized and therefore scalable algorithm to
solve AC optimal power flow.


title:
Micro-pulse upconversion Doppler lidar for wind and visibility detection
  in the atmospheric boundary layer

abstract:
  For the first time, a versatile, eyesafe, compact and direct detection
Doppler lidar is developed using upconversion single-photon detection method.
An all-fiber and polarization maintaining architecture is realized to guarantee
the high optical coupling efficiency and the system stability. Using
integrated-optic components, the conservation of etendue of the optical
receiver is achieved by manufacturing a fiber-coupled periodically poled
Lithium niobate waveguide and an all-fiber Fabry-Perot interferometer (FPI).
The so-called double-edge direct detection is implemented using a
single-channel FPI and a single upconversion detector, incorporating
time-division multiplexing method. The relative error of the system is lower
than 0.1% over 9 weeks. To show the robust of the system, atmospheric wind and
visibility over 48 hours are detected in the boundary layer. In the
intercomparison experiments, lidar shows good agreement with the ultrasonic
wind sensor (Vaisala windcap WMT52), with standard deviation of 1.04 m/s in
speed and 12.3{\deg} in direction.


title: An unbiased metric of antiproliferative drug effect in vitro

abstract:
  In vitro cell proliferation assays are widely used in pharmacology, molecular
biology, and drug discovery. Using theoretical modeling and experimentation, we
show that current antiproliferative drug effect metrics suffer from
time-dependent bias, leading to inaccurate assessments of parameters such as
drug potency and efficacy. We propose the drug-induced proliferation (DIP)
rate, the slope of the line on a plot of cell population doublings versus time,
as an alternative, time-independent metric.


title:
Quantum teleportation protocol with assistant who prepares the amplitude
  modulated unknown qubits

abstract:
  We consider novel implementation of quantum teleportation protocol of unknown
qubit with entangled hybrid state. Coherent components of the entangled hybrid
state displace the teleported qubit at the same absolute but opposite in sign
values, so that any information about amount by which the qubit is displaced is
lost despite the fact that one of these events has definitely occurred. Alice
unambiguously distinguishes her measurement outcomes and Bob obtains at his
disposal states of a single photon in superposition of two modes with
controllable amplitude distortions. We consider the implementation of this
protocol with a third participant who off-line prepares amplitude modulated
unknown qubits and hand them to Alice for teleportation. In this
interpretation, the success probability of the teleportation depends on the
absolute value of the amplitude of the unknown qubit. In particular, highly
unbalanced unknown qubits can be teleported with success probability close to
one. We also consider some ways of demodulating amplitude modulated states by
the receiver in order to increase the success probability of the teleportation
of unknown qubits.


title:
The $\boldsymbol{p}$-adic duality for the finite star-multiple
  polylogarithms

abstract:
  We prove the $\boldsymbol{p}$-adic duality theorem for the finite
star-multiple polylogarithms. That is a generalization of Hoffman's duality
theorem for the finite multiple zeta-star values.


title:
Global existence of weak solutions to the 3D incompressible axisymmetric
  Euler equations without swirl

abstract:
  In this paper, we mainly investigate the tridimensional incompressible
axisymmetric Euler equations without swirl in the whole space. Specifically, we
prove the global existence of weak solutions if the swirl component of initial
vorticity $w_0^\theta$ satisfies that $\frac{w_0^\theta}r\in L^1\cap L^p({\Bbb
R}^3)$ for some $p>1$. To achieve this goal, we establish the $L_{\rm
loc}^{2+\alpha}({\Bbb R}^3)$ estimate of velocity fields for some $\alpha>0$,
which is innovative to the best of our knowledge. Our result extends previous
work in the literature.


title:
Reversal of magnetisation in Ising ferromagnet by the field having
  gradient

abstract:
  We have studied the reversal of magnetisation in Ising ferromagnet by the
field having gradient along a particular direction. We employed the Monte Carlo
simulation with Metropolis single spin flip algorithm. The average lifetime of
the metastable state was observed to increase with the magnitude of the
gradient of applied field. In the high gradient regime, the system was observed
to show two distinct region of up and down spins. The interface or the domain
wall was observed to move as one increases the gradient. The displacement of
the mean position of the interface was observed to increase with the gradient
as hyperbolic tangent function. The roughness of the interface was observed to
decay exponentially as the gradient increases. The number of spin flip per site
was observed to show a discontinuity in the vicinity of the domain wall. The
amount of the discontinuity was found to diverge with the system size as a
power law fashion with an exponent 5/3.


title:
A Rapid Pattern-Recognition Method for Driving Types Using
  Clustering-Based Support Vector Machines

abstract:
  A rapid pattern-recognition approach to characterize driver's
curve-negotiating behavior is proposed. To shorten the recognition time and
improve the recognition of driving styles, a k-means clustering-based support
vector machine ( kMC-SVM) method is developed and used for classifying drivers
into two types: aggressive and moderate. First, vehicle speed and throttle
opening are treated as the feature parameters to reflect the driving styles.
Second, to discriminate driver curve-negotiating behaviors and reduce the
number of support vectors, the k-means clustering method is used to extract and
gather the two types of driving data and shorten the recognition time. Then,
based on the clustering results, a support vector machine approach is utilized
to generate the hyperplane for judging and predicting to which types the human
driver are subject. Lastly, to verify the validity of the kMC-SVM method, a
cross-validation experiment is designed and conducted. The research results
show that the $ k $MC-SVM is an effective method to classify driving styles
with a short time, compared with SVM method.


title: Inductive Bias of Deep Convolutional Networks through Pooling Geometry

abstract:
  Our formal understanding of the inductive bias that drives the success of
convolutional networks on computer vision tasks is limited. In particular, it
is unclear what makes hypotheses spaces born from convolution and pooling
operations so suitable for natural images. In this paper we study the ability
of convolutional networks to model correlations among regions of their input.
We theoretically analyze convolutional arithmetic circuits, and empirically
validate our findings on other types of convolutional networks as well.
Correlations are formalized through the notion of separation rank, which for a
given partition of the input, measures how far a function is from being
separable. We show that a polynomially sized deep network supports
exponentially high separation ranks for certain input partitions, while being
limited to polynomial separation ranks for others. The network's pooling
geometry effectively determines which input partitions are favored, thus serves
as a means for controlling the inductive bias. Contiguous pooling windows as
commonly employed in practice favor interleaved partitions over coarse ones,
orienting the inductive bias towards the statistics of natural images. Other
pooling schemes lead to different preferences, and this allows tailoring the
network to data that departs from the usual domain of natural imagery. In
addition to analyzing deep networks, we show that shallow ones support only
linear separation ranks, and by this gain insight into the benefit of functions
brought forth by depth - they are able to efficiently model strong correlation
under favored partitions of the input.


title:
Bernstein dual-Petrov-Galerkin method: application to 2D time fractional
  diffusion equation

abstract:
  In this paper, we develop a Bernstein dual-Petrov-Galerkin method for the
numerical simulation of a two-dimensional fractional diffusion equation. A
spectral discretization is applied by introducing suitable combinations of dual
Bernstein polynomials as the test functions and the Bernstein polynomials as
the trial ones. We derive the exact sparse operational matrix of
differentiation for the dual Bernstein basis which provides a matrix based
approach for the spatial discretization. It is shown that the method leads to
banded linear systems that can be solved efficiently. The stability and
convergence of the proposed method is discussed. Finally, some numerical
examples are provided to support the theoretical claims and to show the
accuracy and efficiency of the method.


title: Pair production in strong SU(2) background fields

abstract:
  The fermion particle pair production in strong SU(2) gauged chromoelectric
fields is studied by using Boltzmann-Vlasov equation in a classical way. The
existence of pre-production process in a classical description is shown with
the distribution evolution of non-Abelian particle production. It is
interesting to find that the distribution center of particle number density is
on two islands and has a split on color charge sphere as it evolutes and
reaches a steady state at last, which is related to the amplitude and the
varying of the field.


title: Nonlinear optical signals and spectroscopy with quantum light

abstract:
  Conventional nonlinear spectroscopy uses classical light to detect matter
properties through the variation of its response with frequencies or time
delays. Quantum light opens up new avenues for spectroscopy by utilizing
parameters of the quantum state of light as novel control knobs and through the
variation of photon statistics by coupling to matter. We present an intuitive
diagrammatic approach for calculating ultrafast spectroscopy signals induced by
quantum light, focusing on applications involving entangled photons with
nonclassical bandwidth properties - known as "time-energy entanglement".
Nonlinear optical signals induced by quantized light fields are expressed using
time ordered multipoint correlation functions of superoperators. These are
different from Glauber's g- functions for photon counting which use normally
ordered products of ordinary operators. Entangled photon pairs are not
subjected to the classical Fourier limitations on the joint temporal and
spectral resolution. After a brief survey of properties of entangled photon
pairs relevant to their spectroscopic applications, different optical signals,
and photon counting setups are discussed and illustrated for simple multi-level
model systems.


title: An efficient and compact quantum switch for quantum circuits

abstract:
  The engineering of quantum devices has reached the stage where we now have
small scale quantum processors containing multiple interacting qubits within
them. Simple quantum circuits have been demonstrated and scaling up to larger
numbers is underway. However as the number of qubits in these processors
increases, it becomes challenging to implement switchable or tunable coherent
coupling among them. The typical approach has been to detune each qubit from
others or the quantum bus it connected to, but as the number of qubits
increases this becomes problematic to achieve in practice due to frequency
crowding issues. Here, we demonstrate that by applying a fast longitudinal
control field to the target qubit, we can turn off its couplings to other
qubits or buses (in principle on/off ratio higher than 100 dB). This has
important implementations in superconducting circuits as it means we can keep
the qubits at their optimal points, where the coherence properties are
greatest, during coupling/decoupling processing. Our approach suggests a new
way to control coupling among qubits and data buses that can be naturally
scaled up to large quantum processors without the need for auxiliary circuits
and yet be free of the frequency crowding problems.


title:
Weighted fractional chain rule and nonlinear wave equations with minimal
  regularity

abstract:
  We consider the local well-posedness for 3-D quadratic semi-linear wave
equations with radial data: $\Box u = a |\partial_t u|^2+b|\nabla_x u|^2$,
$u(0,x)=u_0(x)\in H^{s}_{\mathrm{rad}}$, $\partial_t u(0,x)=u_1(x)\in
H^{s-1}_{\mathrm{rad}}$. It has been known that the problem is well-posed for
$s\ge 2$ and ill-posed for $s<3/2$. In this paper, we prove unconditional
well-posedness up to the scaling invariant regularity, that is to say, for
$s>3/2$ and thus fill the gap which was left open for many years. For the
purpose, we also obtain a weighted fractional chain rule, which is of
independent interest. Our method here also works for a class of nonlinear wave
equations with general power type nonlinearities which contain the space-time
derivatives of the unknown functions. In particular, we prove the Glassey
conjecture in the radial case, with minimal regularity assumption.


title: Beasts in Lambda-CDM Zoo

abstract:
  Recent astronomical discoveries of supermassive black holes (quasars),
gamma-bursters, supernovae, and dust at high redshifts, z = (5 --10), are
reviewed. Such a dense population of the early universe is at odds with the
conventional mechanisms of its possible origin. Similar data from the
contemporary universe, which are also in conflict with natural expectations,
are considered too. Two possible mechanisms are suggested, at least one of
which can potentially solve all these problems. As a by-product of the last
model, an abundant cosmological antimatter may be created.


title:
Rising from the Ashes: Mid-Infrared Re-Brightening of the Impostor SN
  2010da in NGC 300

abstract:
  We present multi-epoch mid-infrared (IR) photometry and the optical discovery
observations of the "impostor" supernova (SN) 2010da in NGC 300 using new and
archival Spitzer Space Telescope images and ground-based observatories. The
mid-IR counterpart of SN 2010da was detected as SPIRITS 14bme in the SPitzer
InfraRed Intensive Transient Survey (SPIRITS), an ongoing systematic search for
IR transients. A sharp increase in the 3.6 $\mu$m flux followed by a rapid
decrease measured ~150 d before and ~80 d after the initial outburst,
respectively, reveal a mid-IR counterpart to the coincident optical and high
luminosity X-ray outbursts. At late times after the outburst (~2000 d), the 3.6
and 4.5 $\mu$m emission increased to over a factor of 2 times the progenitor
flux. We attribute the re-brightening mid-IR emission to continued dust
production and increasing luminosity of the surviving system associated with SN
2010da. We analyze the evolution of the dust temperature, mass, luminosity, and
equilibrium temperature radius in order to resolve the nature of SN 2010da. We
address the leading interpretation of SN 2010da as an eruption from a luminous
blue variable (LBV) high-mass X-ray binary (HMXB) system. We propose that SN
2010da is instead a supergiant (sg)B[e]-HMXB based on similar luminosities and
dust masses exhibited by two other known sgB[e]-HMXB systems. Additionally, the
SN 2010da progenitor occupies a similar region on a mid-IR color-magnitude
diagram (CMD) with known sgB[e] stars in the Large Magellanic Cloud. The lower
limit estimated for the orbital eccentricity of the sgB[e]-HMXB (e>0.82) from
X-ray luminosity measurements is high compared to known sgHMXBs and supports
the claim that SN 2010da may be associated with a newly formed HMXB system.


title:
Evolution of the phase singularities in edge-diffracted optical-vortex
  beams

abstract:
  We study, both theoretically and by experiment, migration of the amplitude
zeros within a fixed cross section of the edge-diffracted optical-vortex beam,
when the screen edge performs permanent translation in the transverse plane
from the beam periphery towards the axis. Generally, the amplitude zeros
(optical-vortex cores) describe spiral-like trajectories. When the screen edge
advances uniformly, the motion of the amplitude zeros is not smooth and
sometimes shows anomalously high rates, which make an impression of
instantaneous "jumps" from one position to another. We analyze the nature,
conditions and mechanism of these jumps and show that they are associated with
the "birth - annihilation" topological reactions involving the optical vortex
dipoles.


title: A rainbow $r$-partite version of the Erd\H{o}s-Ko-Rado theorem

abstract:
  Let $f(n,r,k)$ be the minimal number such that every hypergraph larger than
$f(n,r,k)$ contained in $\binom{[n]}{r}$ contains a matching of size $k$, and
let $g(n,r,k)$ be the minimal number such that every hypergraph larger than
$g(n,r,k)$ contained in the $r$-partite $r$-graph $[n]^{r}$ contains a matching
of size $k$. The Erd\H{o}s-Ko-Rado theorem states that
$f(n,r,2)=\binom{n-1}{r-1}$~~($r \le \frac{n}{2}$) and it is easy to show that
$g(n,r,k)=(k-1)n^{r-1}$.
  The conjecture inspiring this paper is that if $F_1,F_2,\ldots,F_k\subseteq
\binom{[n]}{r}$ are of size larger than $f(n,r,k)$ or
$F_1,F_2,\ldots,F_k\subseteq [n]^{r}$ are of size larger than $g(n,r,k)$ then
there exists a rainbow matching, i.e. a choice of disjoint edges $f_i \in F_i$.
In this paper we deal mainly with the second part of the conjecture, and prove
it for $r\le 3$. \vspace{.1cm}
  We also prove that for every $r$ and $k$ there exists $n_0=n_0(r,k)$ such
that the $r$-partite version of the conjecture is true for $n>n_0$.


title: Holographic Entanglement Entropy For a Large Class of States in 2D CFT

abstract:
  In this paper, we study the entanglement entropy in a large class of states
of two-dimensional conformal field theory in the the large central charge
limit. This class of states includes the states created by the insertion of a
finite number of local heavy operators. By using the monodromy analysis, we
obtain the leading order entanglement entropy for the general state. We show
that it is exactly captured by the Ryu-Takayanagi formula, by using the
Wilsonian line prescription in the Chern-Simons formulation of the AdS$_3$
gravity.


title:
Minimal networks for sensor counting problem using discrete Euler
  calculus

abstract:
  This paper proposes a method to reduce noise in acyclic sensor networks
enumerating targets using the integral theory with respect to Euler
characteristic. For an acyclic network (a partially ordered set) equipped with
sensors detecting targets, we find reducible points for enumerating targets, as
a generalization of weak beat points (homotopically reducible points). This
theory is useful for improving the reliability and optimization of acyclic
sensor networks.


title: A combinatorial description of topological complexity for finite spaces

abstract:
  This paper presents a combinatorial analog of topological complexity for
finite spaces. We demonstrate that this coincides with the genuine topological
complexity of the original finite space, and constitutes an upper bound for the
topological complexity of its order complex.


title: How did the Virgo cluster form?

abstract:
  While the Virgo cluster is the nearest galaxy cluster and therefore the best
observed one, little is known about its formation history. In this paper, a set
of cosmological simulations that resemble the Local Universe is used to shed
the first light on this mystery. The initial conditions for these simulations
are constrained with galaxy peculiar velocities of the second catalog of the
Cosmicflows project using algorithms developed within the Constrained Local
UniversE Simulation project. Boxes of 500 Mpc/h on a side are set to run a
series of dark matter only constrained simulations. In each simulation, a
unique dark matter halo can be reliably identified as Virgo's counterpart. The
properties of these Virgo halos are in agreement at a 10-20% level with the
global properties of the observed Virgo cluster. Their zero-velocity masses
agree at one-sigma with the observational mass estimate. In all the
simulations, the matter falls onto the Virgo objects along a preferential
direction that corresponds to the observational filament and the slowest
direction of collapse. A study of the mass accretion history of the Virgo
candidates reveals the most likely formation history of the Virgo cluster,
namely a quiet accretion over the last 7 Gigayears.


title: Coherent-state path integrals in the continuum: The SU(2) case

abstract:
  We define the time-continuous spin coherent-state path integral in a way that
is free from inconsistencies. The proposed definition is used to reproduce
known exact results. Such a formalism opens new possibilities for applying
approximations with improved accuracy and can be proven useful in a great
variety of problems where spin Hamiltonians are used.


title: Functional methods for disordered neural networks

abstract:
  Neural networks of the brain form one of the most complex systems we know.
Many qualitative features of the emerging collective phenomena, such as
correlated activity, stability, response to inputs, chaotic and regular
behavior, can, however, be understood in simple models that are accessible to a
treatment in statistical mechanics, or, more precisely, classical statistical
field theory.
  This tutorial presents the fundamentals behind contemporary developments in
the theory of neural networks of rate units that are based on methods from
statistical mechanics of classical systems with a large number of interacting
degrees of freedom. In particular we will focus on a relevant class of systems
that have quenched (time independent) disorder. In neural networks, the main
source of disorder arises from random synaptic couplings between neurons. These
systems are in many respects similar to spin glasses. The tutorial therefore
also explains the methods for these disordered systems as far as they are
applied in neuroscience.
  The presentation consists of two parts. In the first part we introduce
stochastic differential equations in the Martin - Siggia - Rose - De Dominicis
- Janssen path integral formalism. In the second part we employ this language
to derive the dynamic mean-field theory for deterministic random networks, the
basis of the seminal work by Sompolinsky, Crisanti, Sommers 1988, as well as a
recent extension to stochastic dynamics.