title:
Probability that product of real random matrices have all eigenvalues
  real tend to 1

abstract:
  In this article we consider products of real random matrices with fixed size.
Let $A_1,A_2, \dots $ be i.i.d $k \times k$ real matrices, whose entries are
independent and identically distributed from probability measure $\mu$. Let
$X_n = A_1A_2\dots A_n$. Then it is conjectured that $$\mathbb{P}(X_n \text{
has all real eigenvalues}) \rightarrow 1 \text{ as } n \rightarrow \infty.$$ We
show that the conjecture is true when $\mu$ has an atom.


title: Competing pairing channels in the doped honeycomb lattice Hubbard model

abstract:
  Proposals for superconductivity emerging from correlated electrons in the
doped Hubbard model on the honeycomb lattice range from chiral $d+id$ singlet
to $p+ip$ triplet pairing, depending on the considered range of doping and
interaction strength, as well as the approach used to analyze the pairing
instabilities. Here, we consider these scenarios using large-scale dynamic
cluster approximation (DCA) calculations to examine the evolution in the
leading pairing symmetry from weak to intermediate coupling strength. These
calculations focus on doping levels around the van Hove singularity (VHS) and
are performed using DCA simulations with an interaction-expansion
continuous-time quantum Monte Carlo cluster solver. We calculated explicitly
the temperature dependence of different uniform superconducting pairing
susceptibilities and found a consistent picture emerging upon gradually
increasing the cluster size: while at weak coupling the $d+id$ singlet pairing
dominates close to the VHS filling, an enhanced tendency towards $p$-wave
triplet pairing upon further increasing the interaction strength is observed.
The relevance of these systematic results for existing proposals and ongoing
pursuits of odd-parity topological superconductivity are also discussed.


title:
N-queens-based algorithm for moving object detection in distributed
  wireless sensor networks

abstract:
  The main constraint of wireless sensor networks (WSN) in enabling wireless
image communication is the high energy requirement, which may exceed even the
future capabilities of battery technologies. In this paper we have shown that
this bottleneck can be overcome by developing local in-network image processing
algorithm that offers optimal energy consumption. Our algorithm is very
suitable for intruder detection applications. Each node is responsible for
processing the image captured by the video sensor, which consists of NxN
blocks. If an intruder is detected in the monitoring region, the node will
transmit the image for further processing. Otherwise, the node takes no action.
Results provided from our experiments show that our algorithm is better than
the traditional moving object detection techniques by a factor of (N/2) in
terms of energy savings.


title: A new $Z_3$-graded quantum group

abstract:
  We introduce a $Z_3$-graded version of exterior (Grassmann) algebra with two
generators and using this object we obtain a new $Z_3$-graded quantum group
denoted by $O(\widetilde{GL}_q(2))$. We also discuss some properties of ${
O}(\widetilde{GL}_q(2))$.


title:
Representing Extended Finite State Machines for SDL by A Novel Control
  Model of Discrete Event Systems

abstract:
  This paper discusses EFSM for SDL and transforms EFSM into a novel control
model of discrete event systems. We firstly propose a control model of discrete
event systems, where the event set is made up of several conflicting pairs and
control is implemented to select one event of the pair. Then we transform EFSM
for SDL to the control model to clarify the control mechanism functioning in
SDL flow graphs. This work views the EFSM for SDL in the perspective of
supervisory control theory, and this contributes to the field of software
cybernetics, which explores the theoretically justified interplay of software
and the control.


title: Self-rotation and synchronization in exciton-polariton condensates

abstract:
  Self-rotation occurs in an exciton-polariton condensate in a two-dimensional
semiconductor microcavity pumped by a nonresonant Gaussian laser beam. A wave
packet of the condensate spontaneously rotates around the center of the pumped
region at a constant frequency breaking the rotation symmetry of the system.
When two self-rotating condensates are created with an appropriate distance,
synchronization occurs between the dynamics of the self-rotating condensates.


title:
Discrete maximal regularity of time-stepping schemes for fractional
  evolution equations

abstract:
  In this work, we establish the maximal $\ell^p$-regularity for several time
stepping schemes for a fractional evolution model, which involves a fractional
derivative of order $\alpha\in(0,2)$, $\alpha\neq 1$, in time. These schemes
include convolution quadratures generated by backward Euler method and
second-order backward difference formula, the L1 scheme, explicit Euler method
and a fractional variant of the Crank-Nicolson method. The main tools for the
analysis include operator-valued Fourier multiplier theorem due to Weis [48]
and its discrete analogue due to Blunck [10]. These results generalize the
corresponding results for parabolic problems.


title: Cross products, invariants, and centralizers

abstract:
  An algebra $V$ with a cross product $\times$ has dimension 3 or 7. In this
work, we use 3-tangles to describe, and provide a basis for, the space of
homomorphisms from $V^{\otimes n}$ to $V^{\otimes m}$ that are invariant under
the action of the automorphism group $Aut(V,\times)$ of $V$, which is a special
orthogonal group when $dim V = 3$, and a simple algebraic group of type $G_2$
when $dim V= 7$. When $m = n$, this gives a graphical description of the
centralizer algebra $End_{Aut(V,\times)}(V^{\otimes n})$, and therefore, also a
graphical realization of the $Aut(V,\times)$-invariants in $V^{\otimes 2n}$
equivalent to the First Fundamental Theorem of Invariant Theory. We show how
the 3-dimensional simple Kaplansky Jordan superalgebra can be interpreted as a
cross product (super)algebra and use 3-tangles to obtain a graphical
description of the centralizers and invariants of the Kaplansky superalgebra
relative to the action of the special orthosymplectic group.


title: Group algebras whose groups of normalized units have exponent 4

abstract:
  We give a full description of locally finite p-groups G such that the
normalized group of units V(FG) of the group algebra FG over a field F of
characteristic p has exponent 4.


title:
Finite size scaling for the Many-Body-Localization Transition :
  finite-size-pseudo-critical points of individual eigenstates

abstract:
  To understand the finite-size-scaling properties of phases transitions in
classical and quantum models in the presence of quenched disorder, it has
proven to be fruitful to introduce the notion of a finite-size-pseudo-critical
point in each disordered sample and to analyze its sample-to-sample
fluctuations as a function of the size. For the Many-Body-Localization
transition, where very strong eigenstate-to-eigenstate fluctuations have been
numerically reported even within a given disordered sample at a given energy
density [X. Yu, D. J. Luitz, B. K. Clark, arxiv:1606.01260 and V. Khemani, S.
P. Lim, D. N. Sheng, D. A. Huse,arxiv:1607.05756], it seems thus useful to
introduce the notion of a finite-size-pseudo-critical point for each individual
eigenstate and to study its eigenstate-to-eigenstate fluctuations governed by
the correlation length exponent $\nu$. The scaling properties of critical
eigenstates are also expected to appear much more clearly if one considers each
eigenstate at its finite-size-pseudo-critical point, where it is 'truly
critical', while standard averages over eigenstates and samples in the critical
region actually see a mixture of states that are effectively either localized
or delocalized.


title: Piecewise Extended Chebyshev Spaces: a numerical test for design

abstract:
  Given a number of Extended Chebyshev (EC) spaces on adjacent intervals, all
of the same dimension, we join them via convenient connection matrices without
increasing the dimension. The global space is called a Piecewise Extended
Chebyshev (PEC) Space. In such a space one can count the total number of zeroes
of any non-zero element, exactly as in each EC-section-space. When this number
is bounded above in the global space the same way as in its section-spaces, we
say that it is an Extended Chebyshev Piecewise (ECP) space. A thorough study of
ECP-spaces has been developed in the last two decades in relation to blossoms,
with a view to design. In particular, extending a classical procedure for
EC-spaces, ECP-spaces were recently proved to all be obtained by means of
piecewise generalised derivatives. This yields an interesting constructive
characterisation of ECP-spaces. Unfortunately, except for low dimensions and
for very few adjacent intervals, this characterisation proved to be rather
difficult to handle in practice. To try to overcome this difficulty, in the
present article we show how to reinterpret the constructive characterisation as
a theoretical procedure to determine whether or not a given PEC-space is an
ECP-space. This procedure is then translated into a numerical test, whose
usefulness is illustrated by relevant examples.


title: Epsilon-strongly graded rings, separability and semisimplicity

abstract:
  We introduce the class of epsilon-strongly graded rings and show that it
properly contains both the class of strongly graded rings and the class of
unital partial crossed products. We determine precisely when an
epsilon-strongly graded ring is separable over its principal component.
Thereby, we simultaneously generalize a result for strongly group graded rings
by Nastasescu, Van den Bergh and Van Oystaeyen, and a result for unital partial
crossed products by Bagio, Lazzarin and Paques. We also show that the class of
unital partial crossed products appear in the class of epsilon-strongly graded
rings in a fashion similar to how the classical crossed products present
themselves in the class of strongly graded rings. Thereby, we obtain, in the
special case of unital partial crossed products, a short proof of a general
result by Dokuchaev, Exel and Sim\'{o}n concerning when graded rings can be
presented as partial crossed products. We also provide some interesting classes
of examples of separable epsilon-strongly graded rings, with finite as well as
infinite grading groups. In particular, we obtain an answer to a question
raised by Le Bruyn, Van den Bergh and Van Oystaeyen in 1988.


title: Relations and representations of QCD amplitudes

abstract:
  In this talk we review relations and representations of primitive QCD tree
amplitudes. Topics covered include the BCJ relations, the CHY representation,
and the KLT relations. We will put a special emphasis on how these relations
and representations generalise from pure Yang-Mills theory to QCD. The
generalisation of the KLT relations from pure Yang-Mills to QCD includes the
case of massive quarks. On the gravity side we then obtain hypothetical
particles interacting with gravitational strength, which can be massive and
non-relativistic.


title: Presentations for (singular) partition monoids: a new approach

abstract:
  We give new, short proofs of the presentations for the partition monoid and
its singular ideal originally given in the author's 2011 papers in J Alg and
IJAC.


title: On hypersurfaces of $\mathbb{S}^2\times\mathbb{S}^2$

abstract:
  We classify the homogeneous and isoparametric hypersurfaces of
$\mathbb{S}^2\times\mathbb{S}^2$. In the classification, besides the
hypersurfaces $\mathbb{S}^1(r)\times\mathbb{S}^2,\,r\in (0,1]$, it appears a
family of hypersurfaces with three different constant principal curvatures and
zero Gauss-Kronecker curvature. Also we classify the hypersurfaces of
$\mathbb{S}^2\times\mathbb{S}^2$ with at most two constant principal curvatures
and, under certain conditions, with three constant principal curvatures.


title:
Spherical Recurrence and locally isometric embeddings of trees into
  positive density subsets of $\mathbb{Z}^d$

abstract:
  Magyar has shown that if $B \subset \mathbb{Z}^d$ has positive upper density
$(d \geq 5)$, then the set of squared distances $\{ \|b_1-b_2 \|^2 \text{ }:
\text{ } b_1,b_2 \in B \}$ contains an infinitely long arithmetic progression,
whose period depends only on the upper density of $B$. We extend this result by
showing that $B$ contains locally isometrically embedded copies of every tree
with edge lengths in some given arithmetic progression (whose period depends
only on the upper density of $B$ and the number of vertices of the sought
tree). In particular, $B$ contains all chains of elements with gaps in some
given arithmetic progression (which depends on the length of the sought chain).
This is a discrete analogue of a result obtained recently by Bennet, Iosevich
and Taylor on chains with prescribed gaps in sets of large Haussdorf dimension.
Our techniques are Ergodic theoretic and may be of independent interest to
Ergodic theorists. In particular, we obtain Ergodic theoretic analogues of
recent \textit{optimal spherical distribution} results of Lyall and Magyar
which, via Furstenberg's correspondence principle, recover their combinatorial
results.


title:
Asymptotic and exact results on the complexity of the
  Novelli-Pak-Stoyanovskii algorithm

abstract:
  The Novelli-Pak-Stoyanovskii algorithm is a sorting algorithm for Young
tableaux of a fixed shape that was originally devised to give a bijective proof
of the hook-length formula. We obtain new asymptotic results on the average
case and worst case complexity of this algorithm as the underlying shape tends
to a fixed limit curve. Furthermore, using the summation package Sigma we prove
an exact formula for the average case complexity when the underlying shape
consists of only two rows. We thereby answer questions posed by Krattenthaler
and M\"uller.


title: An Active Machine Hearing System for Auditory Stream Segregation

abstract:
  This study describes a binaural machine hearing system that is capable of
performing auditory stream segregation in scenarios where multiple sound
sources are present. The process of stream segregation refers to the capability
of human listeners to group acoustic signals into sets of distinct auditory
streams, corresponding to individual sound sources. The proposed computational
framework mimics this ability via a probabilistic clustering scheme for joint
localization and segregation. This scheme is based on mixtures of von Mises
distributions to model the angular positions of the sound sources surrounding
the listener. The distribution parameters are estimated using block-wise
processing of auditory cues extracted from binaural signals. Additionally, the
proposed system can conduct rotational head movements to improve localization
and stream segregation performance. Evaluation of the system is conducted in
scenarios containing multiple simultaneously active speech and non-speech
sounds placed at different positions relative to the listener.


title: Evidence of magnetic field decay in massive main-sequence stars

abstract:
  A significant fraction of massive main-sequence stars show strong,
large-scale magnetic fields. The origin of these fields, their lifetimes, and
their role in shaping the characteristics and evolution of massive stars are
currently not well understood. We compile a catalogue of 389 massive
main-sequence stars, 61 of which are magnetic, and derive their fundamental
parameters and ages. The two samples contain stars brighter than magnitude 9 in
the V band and range in mass between 5 and 100 Msun. We find that the
fractional main-sequence age distribution of all considered stars follows what
is expected for a magnitude limited sample, while that of magnetic stars shows
a clear decrease towards the end of the main sequence. This dearth of old
magnetic stars is independent of the choice of adopted stellar evolution
tracks, and appears to become more prominent when considering only the most
massive stars. We show that the decreasing trend in the distribution is
significantly stronger than expected from magnetic flux conservation. We also
find that binary rejuvenation and magnetic suppression of core convection are
unlikely to be responsible for the observed lack of older magnetic massive
stars, and conclude that its most probable cause is the decay of the magnetic
field, over a time span longer than the stellar lifetime for the lowest
considered masses, and shorter for the highest masses. We then investigate the
spin-down ages of the slowly rotating magnetic massive stars and find them to
exceed the stellar ages by far in many cases. The high fraction of very slowly
rotating magnetic stars thus provides an independent argument for a decay of
the magnetic fields.


title: Initial directional singularity in inflationary models

abstract:
  In [1] a new cosmological model is proposed with no big bang singularity in
the past, though past geodesically incomplete. This model starts with an
inflationary era, follows with a stiff matter dominated period and evolves to
accelerated expansion in an asymptotically de Sitter regime in a realistic
fashion. The big bang singularity is replaced by a directional singularity.
This singularity cannot be reached by comoving observers, since it would take
them an infinite proper time lapse to go back to it. On the contrary, observers
with nonzero linear momentum have the singularity at finite proper time in
their past, though arbitrarily large. Hence, the time lapse from the initial
singularity can be as long as desired, even infinity, depending on the linear
momentum of the observer. This conclusion applies to similar inflationary
models. Due to the interest of these models, we address here the properties of
such singularities.


title: Evaluation method of word embedding by roots and affixes

abstract:
  Word embedding has been shown to be remarkably effective in a lot of Natural
Language Processing tasks. However, existing models still have a couple of
limitations in interpreting the dimensions of word vector. In this paper, we
provide a new approach---roots and affixes model(RAAM)---to interpret it from
the intrinsic structures of natural language. Also it can be used as an
evaluation measure of the quality of word embedding. We introduce the
information entropy into our model and divide the dimensions into two
categories, just like roots and affixes in lexical semantics. Then considering
each category as a whole rather than individually. We experimented with English
Wikipedia corpus. Our result show that there is a negative linear relation
between the two attributes and a high positive correlation between our model
and downstream semantic evaluation tasks.


title: Supports of Implicit Dependence Copulas

abstract:
  A copula of continuous random variables $X$ and $Y$ is called an
\emph{implicit dependence copula} if there exist functions $\alpha$ and $\beta$
such that $\alpha(X) = \beta(Y)$ almost surely, which is equivalent to $C$
being factorizable as the $*$-product of a left invertible copula and a right
invertible copula. Every implicit dependence copula is supported on the graph
of $f(x) = g(y)$ for some measure-preserving functions $f$ and $g$ but the
converse is not true in general.
  We obtain a characterization of copulas with implicit dependence supports in
terms of the non-atomicity of two newly defined associated $\sigma$-algebras.
As an application, we give a broad sufficient condition under which a
self-similar copula has an implicit dependence support. Under certain extra
conditions, we explicitly compute the left invertible and right invertible
factors of the self-similar copula.


title:
Electronic sideband locking of 318.6nm UV laser to an ultrastable
  optical cavity with a wide continuously tunable range

abstract:
  We have demonstrated a frequency-stabilized tunable 318.6 nm ultraviolet (UV)
laser system for the single-photon 6S1/2 - nP (n = 70 ~ 100) Rydberg excitation
of cesium atoms. The 637.2 nm laser produced by single-pass sum frequency
generation from two infrared fiber lasers is offset locked to a high-finesse
ultra-low expansion (ULE) optical cavity placed in ultra-high vacuum using the
electronic sideband locking technique. The generated 318.6 nm UV laser via
cavity-enhanced second-harmonic generation can be continuously tuned over 4 GHz
by indirectly changing modulation frequency on the electro-optic phase
modulator while the whole laser system remains locked. We analyze the tuning
range mainly depends on the modulator bandwidth and the tunable range of the
seed laser. The locking scheme offers a method to compensate the frequency
difference between the reference frequency and the goal frequency to a desired
excited state, and has huge potential in precision spectroscopic experiments of
cold atoms.


title:
Kategorisasi dokumen web secara otomatis berdasarkan folksonomy
  menggunakan multinomial naive Bayes classifier

abstract:
  Folksonomy is a non-hierarchical document categorizing system, that treats
every category in a flat manner, dan every category is entered freely by anyone
who submitted a document in these categories. Categorization is done
automatically at the time a document is submitted, by entering the list of
categories that best fit the document. del.icio.us (http://del.icio.us) site is
one of the most popular social bookmarking sites that uses folksonomy.
  Usage of folksonomy, although very easy, also has its weaknesses, such as use
of different tags for the same concept, use of the same tag for different
concepts, no quality control, etc. We try to provide a solution for some of
these problems by analyzing Web documents' contents and categorizing them
automatically using multinomial naive Bayes algorithm.
  Bayes classifier works by using a set of evidences and a set of classes. By
training the system using sample data, we can determine the probability of an
evidence given a particular class. Bayes classifier also uses prior probability
of a class, which can be calculated from sample data. From these analysis, when
given a new document which is formed by a set of evidences (words), the
probabilities of each class given that document (posterior probabilities) can
be determined.
  This system is implemented using PHP 5, Apache, and MySQL. The conclusion
from building this system is that the Bayes method can be used to automatically
categorize documents and also as an assistive tool for manual categorization.
  -----
  Folksonomy merupakan metode kategorisasi dokumen yang tidak hierarkis,
menyamaratakan kedudukan setiap kategori, dan judul kategori ditentukan secara
bebas oleh siapa saja yang memasukkan sebuah dokumen di dalam kategori-kategori
tersebut.


title: Networked Control Systems over Correlated Wireless Fading Channels

abstract:
  In this paper, we consider a networked control system (NCS) in which an
dynamic plant system is connected to a controller via a temporally correlated
wireless fading channel. We focus on communication power design at the sensor
to minimize a weighted average state estimation error at the remote controller
subject to an average transmit power constraint of the sensor. The power
control optimization problem is formulated as an infinite horizon average cost
Markov decision process (MDP). We propose a novel continuous-time perturbation
approach and derive an asymptotically optimal closed-form value function for
the MDP. Under this approximation, we propose a low complexity dynamic power
control solution which has an event- driven control structure. We also
establish technical conditions for asymptotic optimality, and sufficient
conditions for NCS stability under the proposed scheme.


title:
Distributed Stochastic Optimization for Weakly Coupled Systems with
  Applications to Wireless Communications

abstract:
  In this paper, a framework is proposed to simplify solving the infinite
horizon average cost problem for the weakly coupled multi-dimensional systems.
Specifically, to address the computational complexity issue, we first introduce
a virtual continuous time system (VCTS) and obtain the associated fluid value
function. The relationship between the VCTS and the original discrete time
system is further established. To facilitate the low complexity distributed
implementation and address the coupling challenge, we model the weakly coupled
system as a perturbation of a decoupled base system and study the decoupled
base system. The fluid value function of the VCTS is approximated by the sum of
the per-flow fluid value functions and the approximation error is established
using perturbation analysis. Finally, we obtain a low complexity distributed
solution based on the per-flow fluid value function approximation. We apply the
framework to solve a delay-optimal control problem for the K-pair interference
networks and obtain a distributed power control algorithm. The proposed
algorithm is compared with various baseline schemes through simulations and it
is shown that significant delay performance gain can be achieved.


title: Existence of solutions for nonlinear p-Laplacian diference equations

abstract:
  The aim of this paper is the study of existence of solutions for non- linear
p-Laplacian difference equations. In the first part, the existence of a
nontrivial homoclinic solution for a discrete p-Laplacian problem is proved.
The proof is based on the mountain-pass theorem of Brezis and Nirenberg. Then,
we study the existence of multiple solutions for a discrete p-Laplacian
boundary value problem. In this case the proof is based on the theorem of D.
Averna and G. Bonanno, which ensures the existence of three critical points for
a suitable functional.


title: Using Word Embeddings for Automatic Query Expansion

abstract:
  In this paper a framework for Automatic Query Expansion (AQE) is proposed
using distributed neural language model word2vec. Using semantic and contextual
relation in a distributed and unsupervised framework, word2vec learns a low
dimensional embedding for each vocabulary entry. Using such a framework, we
devise a query expansion technique, where related terms to a query are obtained
by K-nearest neighbor approach. We explore the performance of the AQE methods,
with and without feedback query expansion, and a variant of simple K-nearest
neighbor in the proposed framework. Experiments on standard TREC ad-hoc data
(Disk 4, 5 with query sets 301-450, 601-700) and web data (WT10G data with
query set 451-550) shows significant improvement over standard term-overlapping
based retrieval methods. However the proposed method fails to achieve
comparable performance with statistical co-occurrence based feedback method
such as RM3. We have also found that the word2vec based query expansion methods
perform similarly with and without any feedback information.


title:
How to save the WIMP: global analysis of a dark matter model with two
  s-channel mediators

abstract:
  A reliable comparison of different dark matter (DM) searches requires models
that satisfy certain consistency requirements like gauge invariance and
perturbative unitarity. As a well-motivated example, we study two-mediator DM
(2MDM). The model is based on a spontaneously broken $U(1)'$ gauge symmetry and
contains a Majorana DM particle as well as two $s$-channel mediators, one
vector (the $Z'$) and one scalar (the dark Higgs). We perform a global scan
over the parameters of the model assuming that the DM relic density is obtained
by thermal freeze-out in the early Universe and imposing a large set of
constraints: direct and indirect DM searches, monojet, dijet and dilepton
searches at colliders, Higgs observables, electroweak precision tests and
perturbative unitarity. We conclude that thermal DM is only allowed either
close to an $s$-channel resonance or if at least one mediator is lighter than
the DM particle. In these cases a thermal DM abundance can be obtained although
DM couplings to the Standard Model are tiny. Interestingly, we find that
vector-mediated DM-nucleon scattering leads to relevant constraints despite the
velocity-suppressed cross section, and that indirect detection can be important
if DM annihilations into both mediators are kinematically allowed.


title:
Goodness-of-fit testing for the Cauchy distribution with application to
  financial modeling

abstract:
  This article deals with goodness-of-fit test for the Cauchy distribution.
Some tests based on Kullback-Leibler information are proposed, and shown to be
consistent. Monte Carlo evidence indicates that the tests have satisfactory
performances against symmetric alternatives. An empirical application to
quantitative finance is provided.


title:
Massive scalar field on (A)dS space from a massless conformal field in
  $\mathbb{R}^6$

abstract:
  We show how the equations for the scalar field (including the massive,
massless, minimally and conformally coupled cases) on de Sitter and Anti-de
Sitter spaces can be obtained from both the SO$(2,4)$-invariant equation
$\square \phi = 0$ in $\mathbb{R}^6$ and two geometrical constraints defining
the (A)dS space. Apart from the equation in $\mathbb{R}^6$, the results only
follow from the geometry.


title: Tunable magnon Weyl points in ferromagnetic pyrochlores

abstract:
  The dispersion relations of magnons in ferromagnetic pyrochlores with
Dzyaloshinskii-Moriya interaction is shown to possess Weyl points, i.\,e.,
pairs of topological nontrivial crossings of two magnon branches with opposite
topological charge. As a consequence of their topological nature, their
projections onto a surface are connected by magnon arcs, thereby resembling
closely Fermi arcs of electronic Weyl semimetals. On top of this, the positions
of the Weyl points in reciprocal space can be tuned widely by an external
magnetic field: rotated within the surface plane, the Weyl points and magnon
arcs are rotated as well; tilting the magnetic field out-of-plane shifts the
Weyl points toward the center $\bar{\Gamma}$ of the surface Brillouin zone. The
theory is valid for the class of ferromagnetic pyrochlores, i.\,e.,
three-dimensional extensions of topological magnon insulators on kagome
lattices. In this Letter, we focus on the $(111)$ surface, identify candidates
of established ferromagnetic pyrochlores which apply to the considered spin
model, and suggest experiments for the detection of the topological features.


title: Carrier-Grade Anomaly Detection Using Time-to-Live Header Information

abstract:
  Time-to-Live data in the IP header offers two interesting characteristics:
First, different IP stacks pick different start TTL values. Second, each
traversed router should decrement the TTL value. The combination of both offers
host and route fingerprinting options. We present the first work to investigate
Internet-wide TTL behavior at carrier scale and evaluate its fit to detect
anomalies, predominantly spoofed source IP addresses. Using purpose-built
software, we capture 2 weeks of raw TTL data at a 40 Gbit/s Internet uplink.
For further insight, we actively measure observed hosts and conduct large-scale
hitlist-based measurements, which yields three complementary data sets for IPv4
and IPv6. A majority (69% IPv4; 81% IPv6) of passively observed multi-packet
hosts exhibit one stable TTL value. Active measurements on unstable hosts yield
a stable anchor TTL value for more than 85% of responsive hosts. We develop a
structure to further classify unstable hosts taking, for example, temporal
stability into account. Correlation of TTL values with BGP data is clear, yet
unpredictive. The results indicate that carrier-grade TTL anomaly detection can
yield significant insights in the following categories: First, the method can
flag anomalies based on TTL observations (yet likely at a difficult false
positive/false negative trade-off). Second, the method can establish trust that
a packet originates from its acclaimed source.


title: An Upper Bound on Burning Number of Graphs

abstract:
  The burning number $b(G)$ of a graph $G$ was introduced by Bonato, Janssen,
and Roshanbin [Lecture Notes in Computer Science 8882 (2014)] for measuring the
speed of the spread of contagion in a graph. They proved for any connected
graph $G$ of order $n$, $b(G)\leq 2\lceil \sqrt{n} \rceil-1$, and conjectured
that $b(G)\leq \lceil \sqrt{n} \rceil$. In this paper, we proved $b(G)\leq
\lceil\frac{-3+\sqrt{24n+33}}{4}\rceil$, which is roughly
$\frac{\sqrt{6}}{2}\sqrt{n}$. We also settled the following conjecture of
Bonato-Janssen-Roshanbin: $b(G)b(\bar G)\leq n+4$ provided both $G$ and $\bar
G$ are connected.


title:
A new approach for solving nonlinear Thomas-Fermi equation based on
  fractional order of rational Bessel functions

abstract:
  In this paper, the fractional order of rational Bessel functions collocation
method (FRBC) to solve Thomas-Fermi equation which is defined in the
semi-infinite domain and has singularity at $x = 0$ and its boundary condition
occurs at infinity, have been introduced. We solve the problem on semi-infinite
domain without any domain truncation or transformation of the domain of the
problem to a finite domain. This approach at first, obtains a sequence of
linear differential equations by using the quasilinearization method (QLM),
then at each iteration solves it by FRBC method. To illustrate the reliability
of this work, we compare the numerical results of the present method with some
well-known results in other to show that the new method is accurate, efficient
and applicable.


title:
Response to "Comment on Static correlations functions and domain walls
  in glass-forming liquids: The case of a sandwich geometry" [J. Chem. Phys.
  144, 227101 (2016)]

abstract:
  The point-to-set correlation function has proved to be a very valuable tool
to probe structural correlations in disordered systems, but more than that, its
detailed behavior has been used to try to draw information on the mechanisms
leading to glassy behavior in supercooled liquids. For this reason it is of
primary importance to discern which of those details are peculiar to glassy
systems, and which are general features of confinement. Within the present
response we provide an answer to the concerns raised in [J. Chem. Phys. 144,
227101 (2016)].


title: Encoding field theories into gravities

abstract:
  We propose a method to give a $d+1$ geometry from a $d$ dimensional quantum
field theory in the large N expansion. We first construct a $d+1$ dimensional
field from the $d$ dimensional one using the gradient flow equation, whose flow
time $t$ represents the energy scale of the system such that $t\rightarrow 0$
corresponds to the ultra-violet (UV) while $t\rightarrow\infty$ to the
infra-red (IR). We define the induced metric using $d+1$ dimensional field
operators. We show that the metric defined in this way becomes classical in the
large N limit: quantum fluctuations of the metric are suppressed as 1/N due to
the large $N$ factorization property. As a concrete example, we apply our
method to the O(N) non-linear $\sigma$ model in two dimensions. We calculate
the three dimensional induced metric, which describes an AdS space in the
massless limit. We finally discuss several open issues for future
investigations.


title:
Collective motion of cells crawling on a substrate: roles of cell shape
  and contact inhibition

abstract:
  Contact inhibition plays a crucial role in the motility of cells, the process
of wound healing, and the formation of tumors. By mimicking the mechanical
motion of calls crawling on a substrate using a pseudopod, we constructed a
minimal model for migrating cells which gives rise to contact inhibition of
locomotion (CIL) naturally. The model cell consists of two disks, one in the
front (a pseudopod) and the other one in the back (cell body), connected by a
finitely extensible spring. Despite the simplicity of the model, the cells'
collective behavior is highly nontrivial, depending on the shape of cells and
whether CIL is enabled or not. Cells with a small front circle (i.e. a narrow
pseudopod) form immobile colonies. In contrast, cells with a large front circle
(i.e. such as a lamellipodium) exhibit coherent migration without any explicit
alignment mechanism being present in the model. This suggests that crawling
cells often exhibit broad fronts because it helps them avoid clustering. Upon
increasing the density, the cells develop density waves which propagate against
the direction of cell migration and finally arrest at higher densities.


title:
Optimal control with non-adiabatic Molecular Dynamics: application to
  the Coulomb explosion of Sodium clusters

abstract:
  We present an implementation of optimal control theory for the
first-principles non-adiabatic Ehrenfest Molecular Dynamics model, which
describes a condensed matter system by considering classical point-particle
nuclei, and quantum electrons, handled in our case with time-dependent
density-functional theory. The scheme is demonstrated by optimizing the Coulomb
explosion of small Sodium clusters: the algorithm is set to find the optimal
femtosecond laser pulses that disintegrate the clusters, for a given total
pulse duration, fluence, and cut-off frequency. We describe the numerical
details and difficulties of the methodology.


title: Computing the Oja Median in R: The Package OjaNP

abstract:
  The Oja median is one of several extensions of the univariate median to the
multivariate case. It has many nice properties, but is computationally
demanding. In this paper, we first review the properties of the Oja median and
compare it to other multivariate medians. Afterwards we discuss four algorithms
to compute the Oja median, which are implemented in our R-package OjaNP.
Besides these algorithms, the package contains also functions to compute Oja
signs, Oja signed ranks, Oja ranks, and the related scatter concepts. To
illustrate their use, the corresponding multivariate one- and $C$-sample
location tests are implemented.


title:
Benchmarking Distributed Stream Processing Platforms for IoT
  Applications

abstract:
  Internet of Things (IoT) is a technology paradigm where millions of sensors
monitor, and help inform or manage, physical, envi- ronmental and human systems
in real-time. The inherent closed-loop re- sponsiveness and decision making of
IoT applications makes them ideal candidates for using low latency and scalable
stream processing plat- forms. Distributed Stream Processing Systems (DSPS) are
becoming es- sential components of any IoT stack, but the efficacy and
performance of contemporary DSPS have not been rigorously studied for IoT data
streams and applications. Here, we develop a benchmark suite and per- formance
metrics to evaluate DSPS for streaming IoT applications. The benchmark includes
13 common IoT tasks classified across various func- tional categories and
forming micro-benchmarks, and two IoT applica- tions for statistical
summarization and predictive analytics that leverage various dataflow
compositional features of DSPS. These are coupled with stream workloads sourced
from real IoT observations from smart cities. We validate the IoT benchmark for
the popular Apache Storm DSPS, and present empirical results.


title: Products of cyclotomic polynomials on unit circle

abstract:
  We present a method to deal with the values of polynomials of type
$P(z)=\prod_{d\in D}(1-z^d)^{j_d}$ on the unit circle. We use it to improve the
known bounds on various measures of coefficients of cyclotomic and similar
polynomials.


title: A Testbed for Transiently Powered Computers

abstract:
  Transiently Powered Computers (TPCs) are novel devices that are battery-less
and operate using only ambient energy. Therefore TPCs are prone to frequent
power interruptions, and such the need for developing TPC-centric algorithms is
a necessity. We advocate that only through a common experimental environment,
accessible to everyone, a proper comparison of newly developed algorithms for
TPCs can be realized. Moreover, only through access to various TPC
testbeds---distributed geographically throughout the world---a proper
applications testing and validation are possible. We enlist properties and
features that any TPC testbed should have, calling for more coordinated action
in this domain of TPC research. Finally, we present (to the best of our
knowledge) world's first Internet-accessible testbed for TPCs.


title: nCTEQ15 nuclear parton distributions with uncertainties

abstract:
  We present the first official release of the nCTEQ nuclear parton
distribution functions (nPDFs) with errors. The main addition to the previous
nCTEQ PDFs is the introduction of PDF uncertainties based on the Hessian
method. Another important improvement is the inclusion of pion production data
from RHIC giving us a handle to constrain gluon PDF. In this presentation we
briefly discuss the framework of our analysis and concentrate on the comparison
of our results with those of other groups.


title:
Effect of compactification of twisted toroidal extra-dimension on
  sterile neutrino

abstract:
  We consider a toroidal extra-dimensional space with shape moduli $\theta$
which is the angle between the two large extra dimensions $R_1$ and $R_2$
(twisted LED with $\delta=2$). The Kaluza-Klein (KK) compactification results
in a tower of KK bulk neutrinos which are sterile in nature and couple to the
active neutrinos in the brane. The active-sterile mixing probability strongly
depends on the angle $\theta$ due to changing pattern of KK mass gaps which
leads to level crossing. Considering only the first two lowest KK states in
analogy with $(3+2)$ model, it is shown that $|U_{\alpha 4}| > |U_{\alpha 5}|$
when $\theta = \pi/2$ corresponding to the case of a normal torus. Since
$\Delta_{14}^2 < \Delta_{15}^2$, this is expected in normal LED model as higher
the sterile mass lower is the mixing probability. Contrary to this expectation,
it is found that there exists a range in $\theta$ where $|U_{\alpha 5}| \ge
|U_{\alpha 4}|$ even though $\Delta m_{14}^2 < \Delta m_{15}^2$ which has been
demonstrated qantitatively using fourier transformation of reactor
anti-neutrino spectrum. This is an important observation which can be linked to
the oscillation parameters extracted by several $(3+2)$ global analyses of the
neutrino and anti-neutrino data obtained from the short base line measurements.


title: On topological actions of finite groups on S^3

abstract:
  We consider orientation-preserving actions of a finite group G on the
3-sphere S^3 (and also on Euclidean space R^3). By the geometrization of finite
group actions on 3-manifolds, if such an action is smooth then it is conjugate
to an orthogonal action, and in particular G is isomorphic to a subgroup of the
orthogonal group SO(4) (or of SO(3) in the case of R^3). On the other hand,
there are topological actions with wildly embedded fixed point sets; such
actions are not conjugate to smooth actions but one would still expect that the
corresponding groups G are isomorphic to subgroups of the orthgonal groups
SO(4) (or of SO(3), resp.). In the present paper, we obtain some results in
this direction; we prove that the only finite, nonabelian simple group with a
topological action on S^3, or on any homology 3-sphere, is the alternating or
dodecahedral group A_5 (the only finite, nonabelian simple subgroup of SO(4)),
and that every finite group with a topological, orientation-preserving action
on Euclidean space R^3 is in fact isomorphic to a subgroup of SO(3).


title:
The argument for justification of the complex Langevin method and the
  condition for correct convergence

abstract:
  The complex Langevin method is a promising approach to the complex-action
problem based on a fictitious time evolution of complexified dynamical
variables under the influence of a Gaussian noise. Although it is known to have
a restricted range of applicability, the use of gauge cooling made it
applicable to various interesting cases including finite density QCD in certain
parameter regions. In this paper, we revisit the argument for justification of
the method. In particular, we point out a subtlety in the use of time-evolved
observables, which play a crucial role in the previous argument. This requires
that the probability of the drift term should fall off exponentially or faster
at large magnitude. We argue that this is actually a necessary and sufficient
condition for the method to be justified. Using two simple examples, we show
that our condition tells us clearly whether the results obtained by the method
are trustable or not. We also discuss a new possibility for the gauge cooling,
which can reduce the magnitude of the drift term directly.


title: Emergent geometry, thermal CFT and surface/state correspondence

abstract:
  We study a conjectured correspondence between any codimension two convex
surface and a quantum state (SS-duality for short). By generalizing thermofield
double formalism to continuum version of the multi-scale entanglement
renormalization ansatz (cMERA) and using the SS-duality, we show that thermal
geometries naturally emerge as a result of hidden quantum entanglement between
boundary CFTs. We therefore propose a general framework to emerge the thermal
geometry from CFT at finite temperature. As an example, the case of $2d$ CFT is
considered. We calculate its information metric and show that it is either BTZ
black hole or thermal AdS as expected.


title:
Tunable Band Alignment with Unperturbed Carrier Mobility of On-Surface
  Synthesized Organic Semiconducting Wires

abstract:
  The tunable properties of molecular materials place them among the favorites
for a variety of future generation devices. In addition, to maintain the
current trend of miniaturization of those devices, a departure from the present
top-down production methods may soon be required and self-assembly appears
among the most promising alternatives. On-surface synthesis unites the promises
of molecular materials and of self-assembly, with the sturdiness of covalently
bonded structures: an ideal scenario for future applications. Following this
idea, we report the synthesis of functional extended nanowires by
self-assembly. In particular, the products correspond to one-dimensional
organic semiconductors. The uniaxial alignment provided by our substrate
templates allows us to access with exquisite detail their electronic
properties, including the full valence band dispersion, by combining local
probes with spatial averaging techniques. We show how, by selectively doping
the molecular precursors, the product's energy level alignment can be tuned
without compromising the charge carrier's mobility.


title:
Caching Strategies for Information Centric Networking: Opportunities and
  Challenges

abstract:
  Internet usage has shifted from host-centric end-to-end communication to a
content-centric approach mainly used for content delivery. Information Centric
Networking (ICN) was proposed as a promising novel content delivery
architecture. ICN includes in-network caching features at every node which has
a major impact on content retrieval. For instance, the ICN efficiency depends
drastically on the management of the caching resources. The management of
caching resources is achieved with caching strategies. Caching strategies
decide what, where and when content is stored in the network. In this paper, we
revisit the recent technical contributions on caching strategies, we compare
them and discuss opportunities and challenges for improving content delivery in
the upcoming years.


title: PBH Dark Matter in Supergravity Inflation Models

abstract:
  We propose a novel scenario to produce abundant primordial black holes (PBHs)
in new inflation which is a second phase of a double inflation in the
supergravity frame work. In our model, some preinflation phase before the new
inflation is assumed and it would be responsible for the primordial curvature
perturbations on the cosmic microwave background scale, while the new inflation
produces only the small scale perturbations. Our new inflation model has
linear, quadratic, and cubic terms in its potential and PBH production
corresponds with its flat inflection point. The linear term can be interpreted
to come from a supersymmetry-breaking sector, and with this assumption, the
vanishing cosmological constant condition after inflation and the flatness
condition for the inflection point can be consistently satisfied.


title: On various moduli of smoothness and $K$-functionals

abstract:
  In this paper, exact rate of approximation of functions by linear means of
Fourier series and Fourier integrals and corresponding $K$-functionals are
expressed via special moduli of smoothness. .
  Introduction is given in $\S 1$. In $\S2$ functions on the line $\mathbb{R}$
are studied. A typical (well-known) result is as follows: for each
$2\pi$-periodic function in $L_p$ on the period, for any $p\in[1,+\infty]$
($L_\infty=C$) and $r\in\mathbb{N}$, there is a trigonometric polynomial
$\tau_{r,n}(f)$ of degree not greater than $n$ such that
\big\|f-\tau_{r,n}(f)\big\|_p\asymp\omega_r\Big(f;\frac{1}{n}\Big)_p\asymp
\inf\limits_{g}\Big\{\|f-g\|_p+\frac{1}{n^r}\big\|g^{(r)}\big\|_p\Big\}, where
the positive constants in these bilateral inequalities depend only on $r$. In
$\S 3$ we deal with functions on $\mathbb{R}^d$ ($d\geq2$), while in $\S 4$
with functions on Banach spaces.
  The paper is partially of survey nature. The proofs are given only for
Theorems 2.2, 3.9 and those in $\S 4$. Related open problems are formulated in
$\S 5$.
  The list of references contains 52 items.


title:
Electronic structure and ultrafast dynamics of FeAs-based
  superconductors by angle- and time-resolved photoemission spectroscopy

abstract:
  In this article we review our angle- and time-resolved photoemission studies
(ARPES and trARPES) on various ferropnictides.


title:
Radiatively limited dephasing and exciton dynamics in MoSe$_2$
  monolayers

abstract:
  By implementing four-wave mixing (FWM) micro-spectroscopy we measure
coherence and population dynamics of the exciton transitions in monolayers of
MoSe$_2$. We reveal their dephasing times T$_2$ and radiative lifetime T$_1$ in
a sub-picosecond (ps) range, approaching T$_2$=2T$_1$, and thus indicating
radiatively limited dephasing at a temperature of 6$\,$K. We elucidate the
dephasing mechanisms by varying the temperature and by probing various
locations on the flake exhibiting a different local disorder. At a nanosecond
range, we observe the residual FWM produced by the incoherent excitons, which
initially disperse towards the dark states, but then relax back to the
optically active states within the light cone. By introducing
polarization-resolved excitation, we infer inter-valley exciton dynamics,
showing an initial polarization degree of around 30$\,\%$, constant during the
initial sub-picosecond decay, followed by the depolarization on a picosecond
timescale. The FWM hyperspectral imaging reveals the doped and undoped areas of
the sample, allowing to investigate the neutral exciton, the charged one or
both transitions at the same time. In the latter case, we observe the
exciton-trion beating in the coherence evolution indicating their coherent
coupling.


title: Partial transpose criteria for symmetric states

abstract:
  We express the positive partial transpose (PPT) separability criterion for
symmetric states of multi-qubit systems in terms of matrix inequalities based
on the recently introduced tensor representation for spin states. We construct
a matrix from the tensor representation of the state and show that it is
similar to the partial transpose of the density matrix written in the
computational basis. Furthermore, the positivity of this matrix is equivalent
to the positivity of a correlation matrix constructed from tensor products of
Pauli operators. This allows for a more transparent experimental interpretation
of the PPT criteria for an arbitrary spin-j state. The unitary matrices
connecting our matrix to the partial transpose of the state generalize the
so-called magic basis that plays a central role in Wootters' explicit formula
for the concurrence of a 2-qubit system and the Bell bases used for the
teleportation of a one or two-qubit state.


title: Is the Bellman residual a bad proxy?

abstract:
  This paper aims at theoretically and empirically comparing two standard
optimization criteria for Reinforcement Learning: i) maximization of the mean
value and ii) minimization of the Bellman residual. For that purpose, we place
ourselves in the framework of policy search algorithms, that are usually
designed to maximize the mean value, and derive a method that minimizes the
residual $\|T_* v_\pi - v_\pi\|_{1,\nu}$ over policies. A theoretical analysis
shows how good this proxy is to policy optimization, and notably that it is
better than its value-based counterpart. We also propose experiments on
randomly generated generic Markov decision processes, specifically designed for
studying the influence of the involved concentrability coefficient. They show
that the Bellman residual is generally a bad proxy to policy optimization and
that directly maximizing the mean value is much better, despite the current
lack of deep theoretical analysis. This might seem obvious, as directly
addressing the problem of interest is usually better, but given the prevalence
of (projected) Bellman residual minimization in value-based reinforcement
learning, we believe that this question is worth to be considered.


title:
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear
  Parabolic Equation with Exponential Nonlinearity

abstract:
  We consider a nonlinear parabolic equation with an exponential nonlinearity
which is critical with respect to the growth of the nonlinearity and the
regularity of the initial data. After showing the equivalence of the notions of
weak and mild solutions, we derive decay estimates and the asymptotic behavior
for small global-in-time solutions.


title:
{\Pi} Band Dispersion along Conjugated Organic Nanowires Synthesized on
  a Metal Oxide Semiconductor

abstract:
  Surface confined dehalogenation reactions are versatile bottom-up approaches
for the synthesis of carbon-based nanostructures with predefined chemical
properties. However, for devices generally requiring low conductivity
substrates, potential applications are so far severely hampered by the
necessity of a metallic surface to catalyze the reactions. In this work we
report the synthesis of ordered arrays of poly(p-phenylene) chains on the
surface of semiconducting TiO2(110) via a dehalogenative homocoupling of
4,4"-dibromoterphenyl precursors. The supramolecular phase is clearly
distinguished from the polymeric one using low energy electron diffraction and
scanning tunneling microscopy as the substrate temperature used for deposition
is varied. X ray photoelectron spectroscopy of C 1s and Br 3d core levels
traces the temperature of the onset of dehalogenation to around 475 K.
Moreover, angle-resolved photoemission spectroscopy and tight-binding
calculations identify a highly dispersive band characteristic of a substantial
overlap between the precursor's {\pi} states along the polymer, considered as
the fingerprint of a successful polymerization. Thus, these results establish
the first spectroscopic evidence that atomically precise carbon based
nanostructures can readily be synthesized on top of a transition-metal oxide
surface, opening the prospect for the bottom-up production of novel
molecule-semiconductor devices.


title: Mixing times of random walks on dynamic configuration models

abstract:
  The mixing time of a random walk, with or without backtracking, on a random
graph generated according to the configuration model on $n$ vertices, is known
to be of order $\log n$. In this paper we investigate what happens when the
random graph becomes {\em dynamic}, namely, at each unit of time a fraction
$\alpha_n$ of the edges is randomly rewired. Under mild conditions on the
degree sequence, guaranteeing that the graph is locally tree-like, we show that
for every $\varepsilon\in(0,1)$ the $\varepsilon$-mixing time of random walk
without backtracking grows like
$\sqrt{2\log(1/\varepsilon)/\log(1/(1-\alpha_n))}$ as $n \to \infty$, provided
that $\lim_{n\to\infty} \alpha_n(\log n)^2=\infty$. The latter condition
corresponds to a regime of fast enough graph dynamics. Our proof is based on a
randomised stopping time argument, in combination with coupling techniques and
combinatorial estimates. The stopping time of interest is the first time that
the walk moves along an edge that was rewired before, which turns out to be
close to a strong stationary time.


title: Systematics of the Multi-Regge Three-Loop Symbol

abstract:
  We review the systematics of Mandelstam cut contributions to planar
scattering amplitudes in the multi-Regge limit. Isolating the relevant cut
terms, we explain how the BFKL expansion can be used to construct the
perturbative n-point multi-Regge limit amplitude in certain kinematic regions
from a finite number of basic building blocks. At three loops and at leading
logarithmic order, two building blocks are required. Their symbols are
extracted from the known three-loop six-point and seven-point symbols for
general kinematics. The new seven-point building block is constructed in terms
of single-valued multiple polylogarithms to the extent it can be determined
using the symbol as well as further symmetry and consistency constraints.
Beyond the leading logarithmic order, the subleading and sub-subleading terms
require two and one further building block, respectively. The latter could
either be reconstructed from further perturbative data, or from BFKL integrals
involving yet-unknown corrections to the central emission block.


title: Slow dynamics in reaction-diffusion systems

abstract:
  We consider a system of reaction-diffusion equations in a bounded interval of
the real line, with emphasis on the metastable dynamics, whereby the
time-dependent solution approaches the steady state in an asymptotically
exponentially long time interval as the viscosity coefficient $\varepsilon>0$
goes to zero. To rigorous describe such behavior, we analyze the dynamics of
layered solutions localized far from the stable configurations of the system,
and we derive an ODE for the position of the internal interfaces.


title: IDA: A new software tool for INTEGRAL field spectroscopy Data Analysis

abstract:
  We present a software package, IDA, which can easily handle two-dimensional
spectroscopy data. IDA has been written in IDL and offers a window-based
interface. The available tools can visualize a recovered image from spectra at
any desired wavelength interval, obtain velocity fields, velocity dispersion
distributions, etc.


title:
Stochastic Modeling and Regularity of the Nonlinear Elliptic Curl-Curl
  Equation

abstract:
  This paper addresses the nonlinear elliptic curl-curl equation with
uncertainties in the material law. It is frequently employed in the numerical
evaluation of magnetostatic fields, where the uncertainty is ascribed to the
so-called B-H curve. A truncated Karhunen-Lo\`eve approximation of the
stochastic B-H curve is presented and analyzed with regard to monotonicity
constraints. A stochastic non-linear curl-curl formulation is introduced and
numerically approximated by a finite element and collocation method in the
deterministic and stochastic variable, respectively. The stochastic regularity
is analyzed by a higher order sensitivity analysis. It is shown that, unlike to
linear and several nonlinear elliptic problems, the solution is not analytic
with respect to the random variables and an algebraic decay of the stochastic
error is obtained. Numerical results for both the Karhunen-Lo\`eve expansion
and the stochastic curl-curl equation are given for illustration.


title: Propagation effect of gravitational wave on detector response

abstract:
  The response of a detector to gravitational wave is a function of frequency.
When the time a photon moving around in the Fabry-Perot cavities is the same
order of the period of a gravitational wave, the phase-difference due to the
gravitational wave should be an integral along the path. We present a formula
description for detector response to gravitational wave with varied
frequencies. The LIGO data for GW150914 and GW 151226 are reexamined in this
framework. For GW150924, the traveling time of a photon in the LIGO detector is
just a bit larger than a half period of the highest frequency of gravitational
wave and the similar result is obtained with LIGO and Virgo collaborations.
However, we are not always so luck. In the case of GW151226, the time of a
photon traveling in the detector is larger than the period of the highest
frequency of gravitational wave and the announced signal cannot match well the
template with the initial black hole masses 14.2M$_\odot$ and 7.5M$_\odot$.


title:
Cloud Structure of Galactic OB Cluster Forming Regions from Combining
  Ground and Space Based Bolometric Observations

abstract:
  We have developed an iterative procedure to systematically combine the
millimeter and submillimeter images of OB cluster-forming molecular clouds,
which were taken by ground based (CSO, JCMT, APEX, IRAM-30m) and space
telescopes (Herschel, Planck). For the seven luminous ($L$$>$10$^{6}$
$L_{\odot}$) Galactic OB cluster-forming molecular clouds selected for our
analyses, namely W49A, W43-Main, W43-South, W33, G10.6-0.4, G10.2-0.3,
G10.3-0.1, we have performed single-component, modified black-body fits to each
pixel of the combined (sub)millimeter images, and the Herschel PACS and SPIRE
images at shorter wavelengths. The $\sim$10$"$ resolution dust column density
and temperature maps of these sources revealed dramatically different
morphologies, indicating very different modes of OB cluster-formation, or
parent molecular cloud structures in different evolutionary stages. The
molecular clouds W49A, W33, and G10.6-0.4 show centrally concentrated massive
molecular clumps that are connected with approximately radially orientated
molecular gas filaments. The W43-Main and W43-South molecular cloud complexes,
which are located at the intersection of the Galactic near 3-kpc (or Scutum)
arm and the Galactic bar, show a widely scattered distribution of dense
molecular clumps/cores over the observed $\sim$10 pc spatial scale. The
relatively evolved sources G10.2-0.3 and G10.3-0.1 appear to be affected by
stellar feedback, and show a complicated cloud morphology embedded with
abundant dense molecular clumps/cores. We find that with the high angular
resolution we achieved, our visual classification of cloud morphology can be
linked to the systematically derived statistical quantities (i.e., the enclosed
mass profile, the column density probability distribution function, the
two-point correlation function of column density, and the probability
distribution function of clump/core separations).


title: Chemical Principle and PDE of Variational Electrodynamics

abstract:
  The two-body problem of variational electrodynamics possesses
differential-delay equations of motion with state-dependent delays of neutral
type and solutions that can have velocity discontinuities on countable sets.
From a periodic orbit possessing some mild properties at breaking points, we
define a synchronization function in R x R3, which is further used to construct
two bounded oscillatory functions vanishing at breaking points and whose first
derivatives are continuous and defined everywhere but at breaking points. The
oscillatory functions are associated with a PDE identity in H2(R3), and we
postulate ordering conditions for the PDE identity to define a
Fredholm-Schroedinger operator with an O(1/r2) spin-orbit forcing term
belonging to L2(R3). As an application, we introduce the Chemical Principle
criterion to select orbits with asymptotically vanishing far-fields and
estimate the Bohr radius parameter of the Fredholm-Schroedinger PDE using the
boundary-layer of orbits chosen according to the Chemical Principle criterion.
Last, working backward, we derive a Chemical Principle-like condition from the
ordering conditions.


title: A guide to lifting aperiodic structures

abstract:
  The embedding of a given point set with non-crystallographic symmetry into
higher-dimensional space is reviewed, with special emphasis on the Minkowski
embedding known from number theory. This is a natural choice that does not
require an a priori construction of a lattice in relation to a given symmetry
group. Instead, some elementary properties of the point set in physical space
are used, and explicit methods are described. This approach works particularly
well for the standard symmetries encountered in the practical study of
quasicrystalline phases. We also demonstrate this with a recent experimental
example, taken from a sample with square-triangle tiling structure and
(approximate) twelvefold symmetry.


title: On just-infiniteness of locally finite groups and their C*-algebras

abstract:
  We give a construction of a family of locally finite residually finite groups
with just-infinite C*-algebra. This answers a question from [2]. Additionally,
we show that residually finite groups of finite exponent are never
just-infinite.


title: Un-Reduction of Systems of Second-Order Ordinary Differential Equations

abstract:
  In this paper we consider an alternative approach to "un-reduction". This is
the process where one associates to a Lagrangian system on a manifold a
dynamical system on a principal bundle over that manifold, in such a way that
solutions project. We show that, when written in terms of second-order ordinary
differential equations (SODEs), one may associate to the first system a (what
we have called) "primary un-reduced SODE", and we explain how all other
un-reduced SODEs relate to it. We give examples that show that the considered
procedure exceeds the realm of Lagrangian systems and that relate our results
to those in the literature.


title: Effect of Friction on Dense Suspension Flows of Hard Particles

abstract:
  We use numerical simulations to study the effect of particle friction on
suspension flows of non-Brownian hard particles. By systematically varying the
microscopic friction coefficient $\mu_p$ and the viscous number $J$, we build a
phase diagram that identifies three regimes of flow: Frictionless, Frictional
Sliding, and Rolling. Using energy balance in flow, we predict relations
between kinetic observables, confirmed by numerical simulations. For realistic
friction coefficient and small viscous numbers (below $J\sim 10^{-3}$) we show
that the dominating dissipative mechanism is sliding of frictional contacts,
and we characterize asymptotic behaviors as jamming is approached. Outside this
regime, our observations support that flow belongs to the universality class of
frictionless particles. We discuss recent experiments in the context of our
phase diagram.


title: Topological Heat Transport and Symmetry-Protected Boson Currents

abstract:
  The study of non-equilibrium properties in topological systems is of
practical and fundamental importance. Here, we analyze the stationary
properties of a two-dimensional bosonic Hofstadter lattice coupled to two
thermal baths in the quantum open-system formalism. Novel phenomena appear like
chiral edge heat currents that are the out-of-equilibrium counterparts of the
zero-temperature edge currents. They support a new concept of dissipative
symmetry-protection, where a set of discrete symmetries protects topological
heat currents, differing from the symmetry-protection devised in closed systems
and zero-temperature. Remarkably, one of these currents flows opposite to the
decreasing external temperature gradient. As the starting point, we consider
the case of a single external reservoir already showing prominent results like
thermal erasure effects and topological thermal currents. Our results are
experimentally accessible with platforms like photonics systems and optical
lattices.


title:
A Fast Multipole Method based on Band-limited Approximations for Radial
  Basis Functions

abstract:
  The meshless/meshfree radial basis function (RBF) method is a powerful
technique for interpolating scattered data. But, solving large RBF
interpolation problems without fast summation methods is computationally
expensive. For RBF interpolation with $N$ points, using a direct method
requires $\mathcal{O}(N^2)$ operations. As a fast summation method, the fast
multipole method (FMM) has been implemented in speeding up the matrix-vector
multiply, which reduces the complexity from $\mathcal{O}(N^2)$ to
$\mathcal{O}(N^{1.5})$ and even to $\mathcal{O}(NlogN)$ for the multilevel fast
multipole method (MLFMM). In this paper, we present a novel kernel-independent
fast multipole method for RBF interpolation, which is used in combination with
the evaluation of point-to-point interactions by RBF and the fast matrix-vector
multiplication. This approach is based on band-limited approximation and
quadrature rules, which extends the range of applicability of FMM.


title: Cell shape analysis of random tessellations based on Minkowski tensors

abstract:
  To which degree are shape indices of individual cells of a tessellation
characteristic for the stochastic process that generates them? Within the
context of stochastic geometry and the physics of disordered materials, this
corresponds to the question of relationships between different stochastic
models. In the context of image analysis of synthetic and biological materials,
this question is central to the problem of inferring information about
formation processes from spatial measurements of resulting random structures.
We address this question by a theory-based simulation study of shape indices
derived from Minkowski tensors for a variety of tessellation models. We focus
on the relationship between two indices: an isoperimetric ratio of the
empirical averages of cell volume and area and the cell elongation quantified
by eigenvalue ratios of interfacial Minkowski tensors. Simulation data for
these quantities, as well as for distributions thereof and for correlations of
cell shape and volume, are presented for Voronoi mosaics of the Poisson point
process, determinantal and permanental point processes, and Gibbs hard-core and
random sequential absorption processes as well as for Laguerre tessellations of
polydisperse spheres and STIT- and Poisson hyperplane tessellations. These data
are complemented by mechanically stable crystalline sphere and disordered
ellipsoid packings and area-minimising foam models. We find that shape indices
of individual cells are not sufficient to unambiguously identify the generating
process even amongst this limited set of processes. However, we identify
significant differences of the shape indices between many of these tessellation
models. Given a realization of a tessellation, these shape indices can narrow
the choice of possible generating processes, providing a powerful tool which
can be further strengthened by density-resolved volume-shape correlations.


title:
Low-energy physics of three-orbital impurity model with Kanamori
  interaction

abstract:
  We discuss the low-energy physics of the three-orbital Anderson impurity
model with the Coulomb interaction term of the Kanamori form which has orbital
SO(3) and spin SU(2) symmetry and describes systems with partially occupied
$t_{2g}$ shells. We focus on the case with two electrons in the impurity that
is relevant to Hund's metals. Using the Schrieffer-Wolff transformation we
derive an effective Kondo model with couplings between the bulk and impurity
electrons expressed in terms of spin, orbital, and orbital quadrupole
operators. The bare spin-spin Kondo interaction is much smaller than the
orbit-orbit and spin-orbital couplings or is even ferromagnetic. Furthermore,
the perturbative scaling equations indicate faster renormalization of the
couplings related to orbital degrees of freedom compared to spin degrees of
freedom. Both mechanisms lead to a slow screening of the local spin moment. The
model thus behaves similarly to the related quantum impurity problem with a
larger SU(3) orbital symmetry (Dworin-Narath interaction) where this was first
observed. We find that the two problems actually describe the same low-energy
physics since the SU(3) symmetry is dynamically established through the
renormalization of the splittings of coupling constants to zero. The
perturbative renormalization group results are corroborated with the
numerical-renormalization group (NRG) calculations. The dependence of spin
Kondo temperatures and orbital Kondo temperatures as a function of interaction
parameters, the hybridization, and the impurity occupancy is calculated and
discussed.


title:
Classification of large partial plane spreads in $PG(6,2)$ and related
  combinatorial objects

abstract:
  In this article, the partial plane spreads in $PG(6,2)$ of maximum possible
size $17$ and of size $16$ are classified. Based on this result, we obtain the
classification of the following closely related combinatorial objects: Vector
space partitions of $PG(6,2)$ of type $(3^{16} 4^1)$, binary $3\times 4$ MRD
codes of minimum rank distance $3$, and subspace codes with parameters
$(7,17,6)_2$ and $(7,34,5)_2$.


title:
Thermal expansion in 2D honeycomb structures: Role of transverse phonon
  modes

abstract:
  Graphene and its derivatives including hexagonal BN are notorious for their
large negative thermal expansion over a wide range of temperature which is
quite unusual. We attempt to analyze this unusual behavior on the basis of
character of the phonon modes. The linear thermal expansion coefficients (LTEC)
of two-dimensional honeycomb structured pure graphene, h-BN and B/N doped
graphene are studied using density functional perturbation theory (DFPT) under
quasi harmonic approximation. The dynamical matrix and the phonon frequencies
were calculated using VASP code in interface with phonopy code. The approach is
first applied to pure graphene to calculate thermal expansion. The results
agree with earlier calculations using similar approach. Thereafter we have
studied the effect of B/N doping on LTEC and also compared it with LTEC of h-BN
sheet. The LTEC of graphene is negative in the whole temperature range under
study (0-1000K) with a room temperature (RT) value of -3.51X10-6K-1. The value
of LTEC at room temperature becomes more negative with B/N doping in graphene
as well as for h-BN sheet. In order to get an insight into the cause of
negative thermal expansion, we have computed the contribution of individual
phonon modes of vibration. We notice that it is principally the ZA (transverse
acoustic) mode which is responsible for negative thermal expansion. It has been
concluded that transverse mode in 2D hexagonal lattices have an important role
to play in many of the thermo dynamical properties of 2D structures.


title:
Transferred plasma jet from a dielectric barrier discharge for
  processing of poly(dimethylsiloxane) surfaces

abstract:
  In this work we studied processing of poly(dimethylsiloxane) (PDMS) surfaces
using dielectric barrier discharge (DBD) plasma in two different assemblies,
one using the primary plasma jet obtained from a conventional DBD and the other
using a DBD plasma jet transfer. The evolution of water contact angle (WCA) in
function of plasma processing time and in function of aging time as well as the
changes in the surface roughness of PDMS samples for both plasma treatments
have been studied. We also compared vibrational and rotational temperatures for
both plasmas and for the first time the vibrational temperature (T_vib) for the
transferred plasma jet has been shown to be higher as compared with the primary
jet. The increment in the T_vib value seems to be the main reason for the
improvements in adhesion properties and surface wettability for the transferred
plasma jet. Possible explanations for the increase in the vibrational
temperature are presented.


title: Noise spectroscopy with large clouds of cold atoms

abstract:
  Noise measurement is a powerful tool to investigate many phenomena from laser
characterization to quantum behavior of light. In this paper, we report on
intensity noise measurements obtained when a laser beam is transmitted through
a large cloud of cold atoms. While this measurement could possibly investigate
complex processes such as the influence of atomic motion, one is first limited
by the conversion of the intrinsic laser frequency noise to intensity noise via
the atomic resonance. This conversion is studied here in details. We show that,
while experimental intensity noise spectra collapse onto the same curve at low
Fourier frequencies, some differences appear at higher frequencies when the
probe beam is detuned from the center of the resonance line. A simple model,
based on a mean-field approach, which corresponds to describing the atomic
cloud by a dielectric susceptibility, is sufficient to understand the main
features. Using this model, the noise spectra allow extracting some
quantitative informations on the laser noise as well as on the atomic sample.


title: Hybrid Recommender System based on Autoencoders

abstract:
  A standard model for Recommender Systems is the Matrix Completion setting:
given partially known matrix of ratings given by users (rows) to items
(columns), infer the unknown ratings. In the last decades, few attempts where
done to handle that objective with Neural Networks, but recently an
architecture based on Autoencoders proved to be a promising approach. In
current paper, we enhanced that architecture (i) by using a loss function
adapted to input data with missing values, and (ii) by incorporating side
information. The experiments demonstrate that while side information only
slightly improve the test error averaged on all users/items, it has more impact
on cold users/items.


title:
Deep Learning Relevance: Creating Relevant Information (as Opposed to
  Retrieving it)

abstract:
  What if Information Retrieval (IR) systems did not just retrieve relevant
information that is stored in their indices, but could also "understand" it and
synthesise it into a single document? We present a preliminary study that makes
a first step towards answering this question. Given a query, we train a
Recurrent Neural Network (RNN) on existing relevant information to that query.
We then use the RNN to "deep learn" a single, synthetic, and we assume,
relevant document for that query. We design a crowdsourcing experiment to
assess how relevant the "deep learned" document is, compared to existing
relevant documents. Users are shown a query and four wordclouds (of three
existing relevant documents and our deep learned synthetic document). The
synthetic document is ranked on average most relevant of all.


title:
Applications of improved duality lemmas to the discrete
  coagulation-fragmentation equations with diffusion

abstract:
  In this paper, we investigate the use of so called "duality lemmas" to study
the system of discrete coagulation-fragmentation equations with diffusion. When
the fragmentation is strong enough with respect to the coagulation, we show
that we have creation and propagation of superlinear moments. In particular
this implies that strong enough fragmentation can prevent gelation even for
superlinear coagulation, a statement which was only known up to now in the
homogeneous setting. We also use this control of superlinear moments to extend
a recent result about the regularity of the solutions in the pure coagulation
case, to strong fragmentation models.


title: Reducing quadrangulations of the sphere and the projective plane

abstract:
  We show that every quadrangulation of the sphere can be transformed into a
$4$-cycle by deletions of degree-$2$ vertices and by $t$-contractions at
degree-$3$ vertices. A $t$-contraction simultaneously contracts all incident
edges at a vertex with stable neighbourhood. The operation is mainly used in
the field of $t$-perfect graphs. We further show that a non-bipartite
quadrangulation of the projective plane can be transformed into an odd wheel by
$t$-contractions and deletions of degree-$2$ vertices. We deduce that a
quadrangulation of the projective plane is (strongly) $t$-perfect if and only
if the graph is bipartite.


title:
Two-dimensional electron gas in the regime of strong light-matter
  coupling: Dynamical conductivity and all-optical measurements of Rashba and
  Dresselhaus coupling

abstract:
  A nonperturbative interaction of an electronic system with a laser field can
substantially modify its physical properties. In particular, in two-dimensional
(2D) materials with a lack of inversion symmetry, the achievement of a regime
of strong light-matter coupling allows direct optical tuning of the strength of
the Rashba spin-orbit interaction (SOI). Capitalizing on these results, we
build a theory of the dynamical conductivity of a 2D electron gas with both
Rashba and Dresselhaus SOIs coupled to an off-resonant high-frequency
electromagnetic wave. We argue that strong light-matter coupling modifies
qualitatively the dispersion of the electrons and can be used as a powerful
tool to probe and manipulate the coupling strengths and adjust the frequency
range where optical conductivity is essentially nonzero.


title: A Glivenko-Cantelli Theorem for almost additive functions

abstract:
  We develop a Glivenko--Cantelli theory for monotone, almost additive
functions of i.\,i.\,d.\ sequences of random variables indexed by~$\Z^d$. Under
certain conditions on the random sequence, short range correlations are allowed
as well. We have an explicit error estimate, consisting of a probabilistic and
a geometric part. We apply the results to yield uniform convergence for several
quantities arising naturally in statistical physics.


title: The conformal transformation of the night sky

abstract:
  We give a simple differential geometric proof of the conformal transformation
of the night sky under change of observer. The proof does not rely on the four
dimensionality of spacetime or on spinor methods. Furthermore, it really shows
that the result does not depend on Lorentz transformations. This approach, by
giving a transparent covariant expression to the conformal factor, shows that
in most situations it is possible to define a thermal sky metric independent of
the observer.


title: Radiative decays of negative parity heavy baryons in QCD

abstract:
  The transition form factors responsible for the radiative $\Sigma_Q \to
\Lambda_Q \gamma$ and $\Xi_Q^\prime \to \Xi \gamma$ decays of the negative
parity baryons are examined within light cone QCD sum rules. The decay widths
of the radiative transitions are calculated using the obtained results of the
form factors.


title: A Bayesian hierarchical model for monthly maxima of instantaneous flow

abstract:
  We propose a comprehensive Bayesian hierarchical model for monthly maxima of
instantaneous flow in river catchments. The Gumbel distribution is used as the
probabilistic model for the observations, which are assumed to come from
several catchments. Our suggested latent model is Gaussian and designed for
monthly maxima, making better use of the data than the standard approach using
annual maxima. At the latent level, linear mixed models are used for both the
location and scale parameters of the Gumbel distribution, accounting for
seasonal dependence and covariates from the catchments. The specification of
prior distributions makes use of penalised complexity (PC) priors, to ensure
robust inference for the latent parameters. The main idea behind the PC priors
is to shrink toward a base model, thus avoiding overfitting. PC priors also
provide a convenient framework for prior elicitation based on simple notions of
scale. Prior distributions for regression coefficients are also elicited based
on hydrological and meteorological knowledge. Posterior inference was done
using the MCMC split sampler, an efficient Gibbs blocking scheme tailored to
latent Gaussian models. The proposed model was applied to observed data from
eight river catchments in Iceland. A cross-validation study demonstrates good
predictive performance.


title:
Comparative analysis on the selection of number of clusters in community
  detection

abstract:
  We conduct a comparative analysis on various estimates of the number of
clusters in community detection. An exhaustive comparison requires testing of
all possible combinations of frameworks, algorithms, and assessment criteria.
In this paper we focus on the framework based on a stochastic block model, and
investigate the performance of greedy algorithms, statistical inference, and
spectral methods. For the assessment criteria, we consider modularity, map
equation, Bethe free energy, prediction errors, and isolated eigenvalues. From
the analysis, the tendency of overfit and underfit that the assessment criteria
and algorithms have, becomes apparent. In addition, we propose that the
alluvial diagram is a suitable tool to visualize statistical inference results
and can be useful to determine the number of clusters.


title: Diverging fluctuations of the Lyapunov exponents

abstract:
  We show that in generic one-dimensional Hamiltonian lattices the diffusion
coefficient of the maximum Lyapunov exponent diverges in the thermodynamic
limit. We trace this back to the long-range correlations associated with the
evolution of the hydrodynamic modes. In the case of normal heat transport, the
divergence is even stronger, leading to the breakdown of the usual
single-function Family-Vicsek scaling ansatz. A similar scenario is expected to
arise in the evolution of rough interfaces in the presence of a suitably
correlated background noise.


title:
Active and passive stabilization of a high-power UV frequency-doubled
  diode laser

abstract:
  We present a resonantly frequency-doubled tapered amplified semiconductor
laser system emitting up to 2.6 W blue light at 400 nm. The output power is
stable on both short and long timescales with 0.12% RMS relative intensity
noise, and less than 0.15%/h relative power loss over 16 hours of free running
continuous operation. Furthermore, the output power can be actively stabilized,
and the alignment of the input beams of the tapered amplifier chip, the
frequency doubling cavity and-in case of fiber output-the fiber can be
optimized automatically using computer-controlled mirrors.


title:
Issues related to the usage of nitrogen as carrier gas for the MOVPE
  growth of GaSb/InAs heterostructures on InAs pseudosubstrates

abstract:
  GaSb/InAs/GaSb layer stacks have been grown on InAs metamorphic substrates
(pseudosubstrates) by MOVPE, using nitrogen as major carrier gas. We
demonstrate that GaSb growth by nitrogen MOVPE on InAs metamorphic substrates
(and on InAs wafers) is possible in a very narrow range of growth parameters.
As demonstrators, GaSb/InAs/GaSb structures were grown for electron mobility
tests, obtaining (unintentional) 2D electron gas densities in the order of
9/5x10e12 cm(e-2) and mobilities up to 1.2/1.8x10e4 cm(e2)/Vs at room and
liquid nitrogen temperature respectively. We show that it is beneficial to have
some hydrogen in the carrier gas mixture for GaSb growth to achieve good
crystal quality, morphology and electrical properties. Furthermore, an
unexpected and previously unreported decomposition process of GaSb is observed
at relatively low growth temperatures under the supply of the precursors for
InAs epitaxial overgrowth. This nevertheless gets suppressed at even lower
growth temperatures.


title:
High order volume-preserving algorithms for relativistic charged
  particles in general electromagnetic fields

abstract:
  We construct high order symmetric volume-preserving methods for the
relativistic dynamics of a charged particle by the splitting technique with
processing. Via expanding the phase space to include time $t$, we give a more
general construction of volume-preserving methods that can be applied to
systems with time-dependent electromagnetic fields. The newly derived methods
provide numerical solutions with good accuracy and conservative properties over
long time of simulation. Furthermore, because of the use of processing
technique the high order methods are explicit, and cost less than the methods
derived from standard compositions, thus are more efficient. The results are
verified by the numerical experiments. Linear stability analysis of the methods
show that the high order processed method allows larger time step size during
integration.


title:
Pseudoscalar - sterile neutrino interactions: reconciling the cosmos
  with neutrino oscillations

abstract:
  The Short BaseLine (SBL) neutrino oscillation anomalies hint at the presence
of a sterile neutrino with a mass of around 1 eV. However, such a neutrino is
incompatible with cosmological data, in particular observations of the Cosmic
Microwave Background (CMB) anisotropies. However, this conclusion can change by
invoking new physics. One possibility is to introduce a secret interaction in
the sterile neutrino sector mediated by a light pseudoscalar. In this
pseudoscalar model, CMB data prefer a sterile neutrino mass that is fully
compatible with the mass ranges suggested by SBL anomalies. In addition, this
model predicts a value of the Hubble parameter which is completely consistent
with local measurements.


title: Neural Autoregressive Collaborative Filtering for Implicit Feedback

abstract:
  This paper proposes implicit CF-NADE, a neural autoregressive model for
collaborative filtering tasks using implicit feedback ( e.g. click, watch,
browse behaviors). We first convert a users implicit feedback into a like
vector and a confidence vector, and then model the probability of the like
vector, weighted by the confidence vector. The training objective of implicit
CF-NADE is to maximize a weighted negative log-likelihood. We test the
performance of implicit CF-NADE on a dataset collected from a popular digital
TV streaming service. More specifically, in the experiments, we describe how to
convert watch counts into implicit relative rating, and feed into implicit
CF-NADE. Then we compare the performance of implicit CF-NADE model with the
popular implicit matrix factorization approach. Experimental results show that
implicit CF-NADE significantly outperforms the baseline.


title:
Forward physics at the LHC: from the structure of the Pomeron to the
  search for $\gamma$-induced resonances

abstract:
  We describe some of the future measurements to be performed by the CMS, TOTEM
and ATLAS collaborations on hard diffraction in order to understand better the
structure of the Pomeron. We also describe the prospects concerning the search
for quartic $\gamma \gamma \gamma \gamma$ anomalous couplings and discuss a
possible interpretation for the existence of a new particle decaying into two
photons at a mass of about 750 GeV.


title:
Message-Combining Algorithms for Isomorphic, Sparse Collective
  Communication

abstract:
  Isomorphic (sparse) collective communication is a form of collective
communication in which all involved processes communicate in small, identically
structured neighborhoods of other processes. Isomorphic neighborhoods are
defined via an embedding of the processes in a regularly structured topology,
e.g., $d$-dimensional torus, which may correspond to the physical communication
network of the underlying system. Isomorphic collective communication is useful
for implementing stencil and other regular, sparse distributed computations,
where the assumption that all processes behave (almost) symmetrically is
justified.
  In this paper, we show how efficient message-combining communication
schedules for isomorphic, sparse collective communication can easily and
efficiently be computed by purely local computations. We give schemes for
\emph{isomorphic \alltoall} and \emph{\allgather} communication that reduce the
number of communication rounds and thereby the communication latency from $s$
to at most $Nd$, for neighborhoods consisting of $s$ processes with the (small)
factor $N$ depending on the structure of the neighborhood and the capabilities
of the communication system. Using these schedules, we give \emph{zero-copy
implementations} of the isomorphic collectives using MPI and its derived
datatypes to eliminate explicit, process-local copy operations. By benchmarking
the collective communication algorithms against straightforward implementations
and against the corresponding MPI neighborhood collectives, we document
significant latency improvements of our implementations for block sizes of up
to a few kilobytes. We discuss further optimizations for computing even better
schedules, some of which have been implemented and benchmarked.


title: Reactive Bonding Film for Bonding Carbon Foam Through Metal Extrusion

abstract:
  Future tracking detectors, such as those under development for the High
Luminosity LHC, will require mechanical structures employing novel materials to
reduce mass while providing excellent strength, thermal conductivity, and
radiation tolerance. Adhesion methods for such materials are under study at
present. This paper demonstrates the use of reactive bonding film as an
adhesion method for bonding carbon foam.


title:
On solutions of a Boussinesq-type equation with amplitude-dependent
  nonlinearities: the case of biomembranes

abstract:
  Boussinesq-type wave equations involve nonlinearities and dispersion. In this
paper a Boussinesq-type equation with amplitude-dependent nonlinearities is
presented. Such a model was proposed by Heimburg and Jackson (2005) for
describing longitudinal waves in biomembranes and later improved by Engelbrecht
et al. (2015) taking into account the microinertia of a biomembrane. The steady
solution in the form of a solitary wave is derived and the influence of
nonlinear and dispersive terms over a large range of possible sets of
coefficients demonstrated. The solutions emerging from arbitrary initial inputs
are found using the numerical simulation. The properties of emerging trains of
solitary waves waves are analysed. Finally, the interaction of solitary waves
which satisfy the governing equation is studied. The interaction process is not
fully elastic and after several interactions radiation effects may be
significant. This means that for the present case the solitary waves are not
solitons in the strict mathematical sense. However, like in other cases known
in solid mechanics, such solutions may be conditionally called solitons.


title:
A Semi-Smooth Kodaira Vanishing Theorem and Demi-Normal Cyclic Covering
  Lemma

abstract:
  The classical Kodaira Vanishing Theorem states that Hi(X, {\omega}X \otimes
L) = 0 for i > 0, where X is a smooth projective variety over C and L is an
ample line bundle on X. We prove an analogous vanishing result under the
assumption that X is a semi-smooth projective variety over C. This is done by
passing to the normalization of X, which is a smooth projective variety when X
is semi-smooth. The classical vanishing result is proved using a cyclic cover.
Therefore we include a proof that the cyclic cover of a demi-normal variety is
again demi-normal.


title:
Fermi surface manipulation by external magnetic field demonstrated for a
  prototypical ferromagnet

abstract:
  We consider the details of the near-surface electronic band structure of a
prototypical ferromagnet, Fe(001). Using high resolution angle-resolved
photoemission spectroscopy we demonstrate openings of the spin-orbit induced
electronic band gaps near the Fermi level. The band gaps and thus the Fermi
surface can be manipulated by changing the remanent magnetization direction.
The effect is of the order of $\Delta$E = 100 meV and $\Delta \text {k} =
0.1\,\text{\AA}^{-1}$. We show that the observed dispersions are dominated by
the bulk band structure. First-principles calculations and one-step
photoemission calculations suggest that the effect is related to changes in the
electronic ground state, rather than caused by the photoemission process
itself. The symmetry of the effect indicates that the observed electronic bulk
states are influenced by the presence of the surface, which might be understood
as related to a Rashba-type effect. By pinpointing the regions in the
electronic band structure where the switchable band gaps occur, we demonstrate
the significance of spin-orbit interaction even for elements as light as 3d
ferromagnets.


title: Kantowski-Sachs Universe in the Varying Speed of Light Theory

abstract:
  In this work we consider the Kantowski-Sachs (KS) universe in the framework
of varying speed of light theory. We present the general solutions of the
gravitational field equations with variable speed of light $c(t)$,
gravitational coupling parameter $G(t)$ and the decaying vacuum energy
$\Lambda(t)$ for the KS model. In the limiting case for the equation of state
(EOS) parameter $\gamma=2$ (stiff fluid with $p=\rho c^2$) and $\gamma =1$
(dust with $p=0$), exact solutions of the field equations are obtained. The
numerical solutions are also presented for both the cases. Moreover, it is
shown that in the limiting case of large time, the mean anisotropy parameter
tends to zero for $\gamma=2$ and $\gamma=1$. Thus the time variation of the
fundamental constants provides an effective mechanism for the isotropization of
the KS universe.


title: Ruled surface theory and incidence geometry

abstract:
  This is an expository paper about applications of ruled surface theory in
incidence geometry. It surveys the results that have been proven, gives an
overview of the methods, and discusses some open problems and further
directions. It will appear in the book Journey Through Discrete Mathematics, a
Tribute to Jiri Matousek, edited by Martin Loebl, Jaroslav Nesetril and Robin
Thomas, due to be published by Springer.


title:
Green neighbourhoods in low voltage networks: measuring impact of
  electric vehicles and photovoltaics on load profiles

abstract:
  In the near future various types of low-carbon technologies (LCTs) are
expected to be widely employed throughout the United Kingdom. However, the
effect that these technologies will have at a household level on the existing
low voltage (LV) network is still an area of extensive research. We propose an
agent based model that estimates the growth of LCTs within local
neighbourhoods, where social influence is imposed. Real-life data from a LV
network is used that comprises of many socially diverse neighbourhoods. Both
electric vehicle uptake and the combined scenario of electric vehicle and
photovoltaic adoption are investigated with this data. A probabilistic approach
is outlined, which determines lower and upper bounds for the model response at
every neighbourhood. This technique is used to assess the implications of
modifying model assumptions and introducing new model features. Moreover, we
discuss how the calculation of these bounds can inform future network planning
decisions.