title:
Distortion and destruction of colloidal flocks in disordered
  environments

abstract:
  How do flocks, herds and swarms proceed through disordered environments? This
question is not only crucial to animal groups in the wild, but also to
virtually all applications of collective robotics, and active materials
composed of synthetic motile units. In stark contrast, appart from very rare
exceptions, our physical understanding of flocking has been hitherto limited to
homogeneous media. Here we explain how collective motion survives to
geometrical disorder. To do so, we combine experiments on motile colloids
cruising through random microfabricated obstacles, and analytical theory. We
explain how disorder and bending elasticity compete to channel the flow of
polar flocks along sparse river networks akin those found beyond plastic
depinning in driven condensed matter. Further increasing disorder, we
demonstrate that collective motion is suppressed in the form of a first-order
phase transition generic to all polar active materials.


title: Access Control in Linked Data Using WebID

abstract:
  Linked Data technologies become increasingly important in many domains. Key
factors for their breakthrough are security and trust. Classical means for
access control lack granularity when parts of the Linked Data graph must be
protected. The WebID, combining semantic web concepts with methods from
certificate based authentication and authorization, seems promising to fulfill
all requirements concerning security and trust in the semantic web.
  In the PerSemID project, we challenged the WebID technology with a fully
implemented proof-of-concept (PoC) addressing a workflow coming from the domain
of lifelong learning and student mobility. In our use case of study enrollment,
we used WebIDs for authentication and to grant access to parts of triple
stores, during cross domain triple store interactions to exchange data between
stakeholders.


title: Voting Contagion

abstract:
  Social influence plays an important role in human behavior and decisions. The
sources of influence can be generally divided into external, which are
independent of social context, or as originating from peers, such as family and
friends. An important question is how to disentangle the social contagion by
peers from external influences. While a variety of experimental and
observational studies provided insight into this problem, identifying the
extent of social contagion based on large-scale observational data with an
unknown network structure remains largely unexplored. By bridging the gap
between the large-scale complex systems perspective of collective human
dynamics and the detailed approach of the social sciences, we present a
parsimonious model of social influence, and apply it to a central topic in
political science -- elections and voting behavior. We provide an analytical
expression of the county vote-share distribution in a two party system, which
is in excellent agreement with 92 years of observed U.S. presidential election
data. Analyzing the social influence topography over this period reveals an
abrupt transition in the patterns of social contagion -- from low to high
levels of social contagion. The results from our analysis reveal robust
differences among regions of the United States in terms of their social
influence index. In particular, we identify two regions of 'hot' and 'cold
spots of social influence, each comprising states that are geographically
close. These results suggest that social contagion effects are becoming more
instrumental in shaping large scale collective political behavior, which is at
the core of democratic societies.


title: A zero-sum problem on graphs

abstract:
  Call a graph $G$ zero-forcing for a finite abelian group $\mathcal{G}$ if for
every $\ell : V(G) \to \mathcal{G}$ there is a connected $A \subseteq V(G)$
with $\sum_{a \in A} \ell(a) = 0$. The problem we pose here is to characterise
the class of zero-forcing graphs. It is shown that a connected graph is
zero-forcing for the cyclic group of prime order $p$ if and only if it has at
least $p$ vertices. When $|\mathcal{G}|$ is not prime, however, being
zero-forcing is intimately linked to the structure of the graph. We obtain
partial solutions for the general case, discuss computational issues and
present several questions.


title: Strongly stable surfaces in sub-Riemannian $3$-space forms

abstract:
  A surface of constant mean curvature (CMC) equal to $H$ in a sub-Riemannian
$3$-manifold is strongly stable if it minimizes the functional
$\text{area}+2H\,\text{volume}$ up to second order. In this paper we obtain
some criteria ensuring strong stability of surfaces in Sasakian $3$-manifolds.
We also produce new examples of $C^1$ complete CMC surfaces with empty singular
set in the sub-Riemannian $3$-space forms by studying those ones containing a
vertical line. As a consequence, we are able to find complete strongly stable
non-vertical surfaces with empty singular set in the sub-Riemannian hyperbolic
$3$-space $\mathbb{M}(-1)$. In relation to the Bernstein problem in
$\mathbb{M}(-1)$ we discover strongly stable $C^\infty$ entire minimal graphs
in $\mathbb{M}(-1)$ different from vertical planes. These examples are in clear
contrast with the situation in the first Heisenberg group, where complete
strongly stable surfaces with empty singular set are vertical planes. Finally,
we analyze the strong stability of CMC surfaces of class $C^2$ and non-empty
singular set in the sub-Riemannian $3$-space forms. When these surfaces have
isolated singular points we deduce their strong stability even for variations
moving the singular set.


title:
Braid group representations from a deformation of the harmonic
  oscillator algebra

abstract:
  We describe a new technique to obtain representations of the braid group B_n
from the R-matrix of a quantum deformed algebra of the one dimensional harmonic
oscillator. We consider the action of the R-matrix not on the tensor product of
representations of the algebra, that in the harmonic oscillator case are
infinite dimensional, but on the subspace of the tensor product corresponding
to the lowest weight vectors.


title:
Comparing Production Cross Sections for QCD Matter, Higgs Boson,
  Neutrino with Dark Energy in Accelerating Universe

abstract:
  In this research, the production cross sections for QCD matter, neutrino and
dark energy due to acceleration of Universe is calculated. To obtain these
cross sections, the Universe production cross section is multiplied by the
particle or dark energy distribution in accelerating Universe. Also missing
cross section for each matter and dark energy due to formation of event
horizon, is calculated. It is clear that the cross section of particles
produced near event horizon of Universe is much larger for higher acceleration
of Universe. This is because as the acceleration of Universe becomes larger,
the Unruh temperature becomes larger and the thermal radiations of particles
are enhanced. There are different channels for producing Higgs boson in
accelerating Universe. Universe maybe decay to quark and gluons, and then these
particles interact with each other and Higgs boson is produced. Also, some
Higgs boson are emitted directly from event horizon of Universe. Comparing
Higgs boson cross sections via different channels, it is observed that at lower
acceleration, a_Universe<2.5 a_(early Universe), the Universe will not be able
to emit Higgs, but is still able to produce a quark and eventually for
a_Universe<1.5 a_(early Universe) the Universe can only emit massless gluons.
As the acceleration of Universe at the LHC increases, a_Universe>2.5 a_(early
Universe), most of Higgs boson production will be due to Unruh effect near
event horizon of Universe. Finally comparing the production cross section for
dark energy with particle cross sections, it is found that the cross section
for dark energy is dominated by QCD matter, Higgs boson and neutrino. This
result is consistent with previous predictions for dark energy cross section.


title: Exotic Hadron Bound State Production at Hadronic Colliders

abstract:
  The non-relativistic wave function framework is applied to study the
production and decay of the exotic hadrons which can be effectively described
as bound states of other hadrons. Employing the factorized formulation, we
investigate the production of exotic hadrons in the multiproduction processes
at high energy hadronic colliders with the help of event generators. This study
provides crucial information for the measurements of the relevant exotic
hadrons.


title: Thermal effects of a photon gas with a deformed Heisenberg algebra

abstract:
  In this paper we have consider the thermodynamics of a photon gas subject to
the presence of a minimal measurable length following from a covariant
extension of the original generalized uncertainty principle (GUP). After
establishing consistently a generalized dynamics, we define a GUP deformed
Maxwell invariant which serves as the basis for our study. In order to
highlight the GUP effects we compute the one- and two-loop order contribution
to the partition function at the high-temperature limit. Afterwards, by
computing the internal energy density we conclude that the additional terms can
be seen as corrections $\delta\sigma_{\rm{gup}}$ to the Stefan-Boltzmann law
due to GUP effects.


title: Notes on Anomaly Induced Transport

abstract:
  Chiral anomalies give rise to dissipationless transport phenomena such as the
chiral magnetic and vortical effects. In these notes I review the theory from a
quantum field theoretic, hydrodynamic and holographic perspective. A physical
interpretation of the otherwise somewhat obscure concepts of consistent and
covariant anomalies will be given. Vanishing of the CME in strict equilibrium
will be connected to the boundary conditions in momentum space imposed by the
regularization. The role of the gravitational anomaly will be explained. That
it contributes to transport in an unexpectedly low order in the derivative
expansion can be easiest understood via holography. Anomalous transport is
supposed to play also a key role in understanding the electronics of advanced
materials, the Dirac- and Weyl (semi)metals. Anomaly related phenomena such as
negative magnetoresistivity, anomalous Hall effect, thermal anomalous Hall
effect and Fermi arcs can be understood via anomalous transport. Finally I
briefly review a holographic model of Weyl semimetal which allows to infer a
new phenomenon related to the gravitational anomaly: the presence of odd
viscosity.


title: On high-dimensional representations of knot groups

abstract:
  Given a hyperbolic knot $K$ and any $n\geq 2$ the abelian representations and
the holonomy representation each give rise to an $(n-1)$-dimensional component
in the $\operatorname{SL}(n,\Bbb{C})$-character variety. A component of the
$\operatorname{SL}(n,\Bbb{C})$-character variety of dimension $\geq n$ is
called high-dimensional.
  It was proved by Cooper and Long that there exist hyperbolic knots with
high-dimensional components in the $\operatorname{SL}(2,\Bbb{C})$-character
variety. We show that given any non-trivial knot $K$ and sufficiently large $n$
the $\operatorname{SL}(n,\Bbb{C})$-character variety of $K$ admits
high-dimensional components.


title: On the extension of $D(-8k^2)$-pair $\{8k^2, 8k^2+1\}$

abstract:
  Let $n$ be a nonzero integer. A set of $m$ positive integers is called a
$D(n)$-$m$-tuple if the product of any two of its distinct elements increased
by $n$ is a perfect square. Let $k$ be a positive integer. By elementary means,
we show that the $D(-8k^2)$-pair $\{8k^2, 8k^2+1\}$ can be extended to at most
a quadruple (the third and fourth element can only be $1$ and $32k^2+1$). At
the end, we suggest considering a $D(-k^2)$-triple $\{ 1, 2k^2, 2k^2+2k+1\}$ as
possible future research direction.


title: Distributional Inclusion Hypothesis for Tensor-based Composition

abstract:
  According to the distributional inclusion hypothesis, entailment between
words can be measured via the feature inclusions of their distributional
vectors. In recent work, we showed how this hypothesis can be extended from
words to phrases and sentences in the setting of compositional distributional
semantics. This paper focuses on inclusion properties of tensors; its main
contribution is a theoretical and experimental analysis of how feature
inclusion works in different concrete models of verb tensors. We present
results for relational, Frobenius, projective, and holistic methods and compare
them to the simple vector addition, multiplication, min, and max models. The
degrees of entailment thus obtained are evaluated via a variety of existing
word-based measures, such as Weed's and Clarke's, KL-divergence, APinc,
balAPinc, and two of our previously proposed metrics at the phrase/sentence
level. We perform experiments on three entailment datasets, investigating which
version of tensor-based composition achieves the highest performance when
combined with the sentence-level measures.


title:
Common envelope ejection in massive binary stars - Implications for the
  progenitors of GW150914 and GW151226

abstract:
  The recently detected gravitational wave signals (GW150914 and GW151226) of
the merger event of a pair of relatively massive stellar-mass black holes (BHs)
calls for an investigation of the formation of such progenitor systems in
general. We analyse the common envelope (CE) stage of the "traditional"
formation channel in binaries where the first-formed compact object undergoes
an in-spiral inside the envelope of its evolved companion star and ejects the
envelope in that process. We calculate envelope binding energies of donor stars
with initial masses between 4 and 115 Msun for metallicities of Z=Zsun/2 and
Z=Zsun/50, and derive minimum masses of in-spiralling objects needed to eject
these envelopes. We find that CE evolution, besides from producing WD-WD and
NS-NS binaries, may, in principle, also produce massive BH-BH systems with
individual BH component masses up to ~50-60 Msun, in particular for donor stars
evolved to giants. However, the physics of envelope ejection of massive stars
remains uncertain. We discuss the applicability of the energy-budget formalism,
the location of the bifurcation point, the recombination energy and the
accretion energy during in-spiral as possible energy sources, and also comment
on the effect of inflated helium cores. Massive stars in a wide range of
metallicities and with initial masses up to at least 115 Msun may possibly shed
their envelopes and survive CE evolution, depending on their initial orbital
parameters, similarly to the situation for intermediate mass and low-mass stars
with degenerate cores. We conclude that based on stellar structure
calculations, and in the view of the usual simple energy budget analysis,
events like GW150914 and GW151226 could possibly be produced from the CE
channel. Calculations of post-CE orbital separations, however, and thus the
estimated LIGO detection rates, remain highly uncertain. [Abridged]


title: Lissajous-toric knots

abstract:
  A point in the $(N,q)$-torus knot in $\mathbb{R}^3$ goes $q$ times along a
vertical circle while this circle rotates $N$ times around the vertical axis.
In the Lissajous-toric knot $K(N,q,p)$, the point goes along a vertical
Lissajous curve (parametrized by $t\mapsto(\sin(qt+\phi),\cos(pt+\psi)))$ while
this curve rotates $N$ times around the vertical axis. Such a knot has a
natural braid representation $B_{N,q,p}$ which we investigate here. If
$gcd(q,p)=1$, $K(N,q,p)$ is ribbon; if $gcd(q,p)=d>1$, $B_{N,q,p}$ is the
$d$-th power of a braid which closes in a ribbon knot. We give an upper bound
for the $4$-genus of $K(N,q,p)$ in the spirit of the genus of torus knots; we
also give examples of $K(N,q,p)$'s which are trivial knots.


title:
In search of the dark matter dark energy interaction: a kinematic
  approach

abstract:
  The present work deals with a kinematic approach to the modelling the late
time dynamics of the universe. This approach is based upon the assumption of
constant value of cosmological jerk parameter, which is the dimensionless
representation of the 3rd order time derivative of the scale factor. For the
$\Lambda$CDM model, the value of jerk parameter is -1 throughout the evolution
history. Now any model dependent estimation of the value of the jerk parameter
would indicate the deviation of the model from the cosmological constant. In
the present work, it has also been shown that for a constant jerk parameter
model, any deviation of its value from -1 would not allow the dark matter to
have an independent conservation, thus indicating towards an interaction
between dark matter and dark energy. Statistical analysis with different
observational data sets (namely the observational Hubble parameter data (OHD),
the type Ia supernova data (SNe), and the baryon acoustic oscillation data
(BAO)) lead to a well constrained values of the jerk parameter and the model
remains at a very close proximity of the $\Lambda$CDM. The possibility of
interaction is found to be more likely at high redshift rather than at present
epoch.


title: Theoretical Analysis of Domain Adaptation with Optimal Transport

abstract:
  Domain adaptation (DA) is an important and emerging field of machine learning
that tackles the problem occurring when the distributions of training (source
domain) and test (target domain) data are similar but different. Current
theoretical results show that the efficiency of DA algorithms depends on their
capacity of minimizing the divergence between source and target probability
distributions. In this paper, we provide a theoretical study on the advantages
that concepts borrowed from optimal transportation theory can bring to DA. In
particular, we show that the Wasserstein metric can be used as a divergence
measure between distributions to obtain generalization guarantees for three
different learning settings: (i) classic DA with unsupervised target data (ii)
DA combining source and target labeled data, (iii) multiple source DA. Based on
the obtained results, we provide some insights showing when this analysis can
be tighter than other existing frameworks.


title:
ZeroSDN: A Message Bus for Flexible and Light-weight Network Control
  Distribution in SDN

abstract:
  Recent years have seen an evolution of SDN control plane architectures,
starting from simple monolithic controllers, over modular monolithic
controllers, to distributed controllers. We observe, however, that today's
distributed controllers still exhibit inflexibility with respect to the
distribution of control logic. Therefore, we propose a novel architecture of a
distributed SDN controller in this paper, providing maximum flexibility with
respect to distribution.
  Our architecture splits control logic into light-weight control modules,
called controllets, based on a micro-kernel approach, reducing common
controllet functionality to a bare minimum and factoring out all higher-level
functionality. Light-weight controllets also allow for pushing control logic
onto switches to minimize latency and communication overhead. Controllets are
interconnected through a message bus supporting the publish/subscribe
communication paradigm with specific extensions for content-based OpenFlow
message filtering. Publish/subscribe allows for complete decoupling of
controllets to further facilitate control plane distribution.


title: The Topos Of A Connectivity Space

abstract:
  In this short note, a topos - called the topos of the connectivity space - is
associated with every such space.


title:
Double stars with wide separations in the AGK3 - II. The wide binaries
  and the multiple systems

abstract:
  A large observation programme was carried out to measure the radial
velocities of the components of a selection of common proper motion (CPM)
stars, in order to select the physical binaries. Eighty wide binaries (WBs)
were detected, and 39 optical pairs were identified. Adding CPM stars with
separations close enough to be almost certain they are physical, a
"bias-controlled" sample of 116 wide binaries was obtained, and used to derive
the distribution of separations from 100 to 30,000 au. The distribution
obtained doesn't match the log-constant distribution, but is in agreement with
the log-normal distribution. The spectroscopic binaries detected among the WB
components were used to derive statistical informations about the multiple
systems. The close binaries in WBs seem to be similar to those detected in
other field stars. As for the WBs, they seem to obey the log-normal
distribution of periods. The number of quadruple systems is in agreement with
the "no correlation" hypothesis; this indicates that an environment conducive
to the formation of WBs doesn't favor the formation of subsystems with periods
shorter than 10 years.


title: Linear syzygies on curves with prescribed gonality

abstract:
  We prove two statements concerning the linear strand of the minimal free
resolution of a curve of fixed gonality. Firstly, we show that a general curve
C of genus g of non-maximal gonality k\leq (g+1)/2 satisfies Schreyer's
Conjecture, that is, b_{g-k,1}(C,K_C)=g-k, and all its highest order linear
syzygies are of Eagon-Northcott type. This is a statement going beyond Green's
Conjecture and predicts that all highest order linear syzygies in the canonical
embedding of C are determined by the syzygies of the (k-1)-dimensional scroll
containing C. Secondly, we formulate an optimal effective version of the
Gonality Conjecture and prove it for general k-gonal curves. This generalizes
the asymptotic Gonality Conjecture proved by Ein-Lazarsfeld and improves
results of Rathmann in the case where C is a general curve of fixed gonality.


title: Verbally prime T-ideals and graded division algebras

abstract:
  Let $F$ be an algebraically closed field of characteristic zero and let $G$
be a finite group. We consider graded Verbally prime $T$-ideals in the free
$G$-graded algebra. It turns out that equivalent definitions in the ordinary
case (i.e. ungraded) extend to nonequivalent definitions in the graded case,
namely verbally prime $G$-graded $T$-ideals and strongly verbally prime
$T$-ideals. At first, following Kemer's ideas, we classify $G$-graded verbally
prime $T$-ideals. The main bulk of the paper is devoted to the stronger notion.
We classify $G$-graded strongly verbally prime $T$-ideals which are $T$-ideal
of affine $G$-graded algebras or equivalently $G$-graded $T$-ideals that
contain a Capelli polynomial. It turns out that these are precisely the
$T$-ideal of $G$-graded identities of finite dimensional $G$-graded, central
over $F$ (i.e. $Z(A)_{e}=F$) which admit a $G$-graded division algebra twisted
form over a field $k$ which contains $F$ or equivalently over a field $k$ which
contains enough roots of unity (e.g. a primitive $n$-root of unity where $n =
ord(G)$).


title: Notes on phonological based drunken detection algorithm

abstract:
  In this paper we propose a new algorithm for detecting if a person is under
the influence of alcohol. This algorithm is based on number of pauses the
speaker makes by judging that if the number of pauses compared to the previous
recordings of the same person, which has been recorded beforehand, is higher.
If so the algorithm mark the speaker as drunk.


title:
Enhanced methods for computing spectra from CO5BOLD models using
  Linfor3D. Molecular bands in metal-poor stars

abstract:
  Molecular features such as the G-band, CN-band and NH-band are important
diagnostics for measuring a star's carbon and nitrogen abundances, especially
in metal-poor stars where atomic lines are no longer visible in stellar
spectra. Unlike atomic transitions, molecular features tend to form in bands,
which cover large wavelength regions in a spectrum. While it is a trivial
matter to compute carbon and nitrogen molecular bands under the assumption of
1D, it is extremely time consuming in 3D. In this contribution to the 2016
CO5BOLD workshop we review the improvements made to the 3D spectral synthesis
code Linfor3D, and discuss the new challenges found when computing molecular
features in 3D.


title:
Transformation optics simulation method for stimulated Brillouin
  scattering

abstract:
  We develop a novel approach to enable the full-wave simulation of stimulated
Brillouin scattering and related phenomena in a frequency-domain,
finite-element environment. The method uses transformation optics techniques to
implement a time-harmonic coordinate transform that reconciles the different
frames of reference used by electromagnetic and mechanical finite-element
solvers. We show how this strategy can be successfully applied to bulk and
guided systems, comparing the results with the predictions of established
theory.


title: Tuning Crowdsourced Human Computation

abstract:
  As the use of crowdsourcing increases, it is important to think about
performance optimization. For this purpose, it is possible to think about each
worker as a HPU(Human Processing Unit), and to draw inspiration from
performance optimization on traditional computers or cloud nodes with CPUs.
However, as we characterize HPUs in detail for this purpose, we find that there
are important differences between CPUs and HPUs, leading to the need for
completely new optimization algorithms.
  In this paper, we study the specific optimization problem of obtaining
results fastest for a crowd sourced job with a fixed total budget. In
crowdsourcing, jobs are usually broken down into sets of small tasks, which are
assigned to workers one at a time. We consider three scenarios of increasing
complexity: Identical Round Homogeneous tasks, Multiplex Round Homogeneous
tasks, and Multiple Round Heterogeneous tasks. For each scenario, we analyze
the stochastic behavior of the HPU clock-rate as a function of the remuneration
offered. After that, we develop an optimum Budget Allocation strategy to
minimize the latency for job completion. We validate our results through
extensive simulations and experiments on Amazon Mechanical Turk.


title:
Improved approximation for two dimensional strip packing with polynomial
  bounded width

abstract:
  We study the well-known two-dimensional strip packing problem. Given is a set
of rectangular axis-parallel items and a strip of width $W$ with infinite
height. The objective is to find a packing of these items into the strip, which
minimizes the packing height. Lately, it has been shown that the lower bound of
$3/2$ of the absolute approximation ratio can be beaten when we allow a
pseudo-polynomial running-time of type $(n W)^{f(1/\varepsilon)}$. If $W$ is
polynomially bounded by the number of items, this is a polynomial running-time.
We present a pseudo-polynomial algorithm with approximation ratio $4/3
+\varepsilon$ and running time $(n
W)^{1/\varepsilon^{\mathcal{O}(2^{1/\varepsilon})}}$.


title:
Study of dynamical heterogeneities in aging colloidal nanoclay
  suspensions

abstract:
  An aqueous suspension of the synthetic clay Laponite undergoes a transition
from a liquid-like ergodic state to a glass-like nonergodic arrested state. In
an observation that closely resembles the dynamical slowdown observed in
supercooled liquids, the phenomenon of kinetic arrest in Laponite suspensions
is accompanied by a growth in the $\alpha$-relaxation time with increasing
sample aging time, $t_{w}$. The ubiquitous dynamic slowdown and fragile
behavior observed in glass forming liquids approaching the glass transition is
typically ascribed to the growth in the size of distinct dynamical
heterogeneities. In this article, we present the characterization of the
dynamical heterogeneities in aging colloidal Laponite clay systems by invoking
the three-point dynamic susceptibility formalism. The average time-dependent
two-point intensity autocorrelation and its sensitivity to the control
parameter $t_{w}$ are probed in dynamic light scattering experiments.
Distributions of relaxation time scales deduced from Kohlrausch-Williams-Watts
equation widen with increasing $t_{w}$ signifying the heterogeneous dynamic
slowdown. A suitable formalism to calculate three-point correlation function is
employed for aging colloidal suspension where the main control parameter is
$t_{w}$. The calculated three-point dynamic susceptibility exhibits a peak,
with the peak height increasing with evolving $t_{w}$. The number of
dynamically correlated particles is seen to initially increase with increasing
$t_{w}$ at a fast rate, before eventually slowing down close to the non-ergodic
transition point.This observation is in agreement with reports on supercooled
liquids. Our study confirms the growth of dynamical heterogeneities in
suspensions of Laponite, thereby shedding new light on the fragile supercooled
liquid-like dynamics of aging suspensions of these anisotropic, charged,
colloidal clay nanoparticles.


title:
Generalized description of intermittency in turbulence via stochastic
  methods

abstract:
  We present a generalized picture of intermittency in turbulence that is based
on the theory of stochastic processes. To this end, we rely on the
experimentally and numerically verified finding by R.~Friedrich and J.~Peinke
[Phys. Rev. Lett. 78, 863 (1997)] that allows for an interpretation of the
turbulent energy cascade as a Markov process of the velocity increments in
scale. It is explicitly shown that all known phenomenological models of
turbulence can be reproduced by the Kramers-Moyal expansion of the velocity
increment probability density function that is associated to a Markov process.
We compare the different sets of Kramers-Moyal coefficients of each
phenomenology and deduce that an accurate description of intermittency should
take into account an infinite number of coefficients. This is demonstrated in
more detail for the case of Burgers turbulence that exhibits the strongest
intermittency effects. Moreover, the influence of nonlocality on the
Kramers-Moyal coefficients is investigated by direct numerical simulations of a
generalized Burgers equation. Depending on the balance between nonlinearity and
nonlocality, we encounter different intermittency behaviour that ranges from
self-similarity (purely nonlocal case) to intermittent behaviour (intermediate
case that agrees with Yakhot's mean field theory [Phys. Rev. E 63 026307
(2001)]) to shock-like behaviour (purely nonlinear Burgers case).


title:
Water-induced self-oscillatory processes in colloidal systems by the
  example of instant coffee

abstract:
  Slow long-lived fluctuations of mechanical properties of drying drops of
instant coffee water solutions have been found by means of the Drying Drop
Technology developed earlier. Parameters of the fluctuations depended on the
extent of dilution and were not affected by additional hashing of the solution,
closing by a cover and shielding from external electromagnetic fields [1-3].
Here we compared dynamics of physicochemical and morphological processes in
bulk. We observed microscopically periodic emergence, growth, aggregation and
disappearance of spherical cavities (50-250 micrometers in diameter) in bulk of
dispersion, which was followed by agreed fluctuations of physicochemical
parameters of the colloidal system. We have shown that those spheres were huge
hydrate covers of liquid crystal water around colloidal particles. Phase
transitions between free and bound (liquid crystal) water in a bulk of a
colloidal system is a pacemaker of fluctuations of its physicochemical
properties. These changes are regulated and coordinated by the value of osmotic
pressure. At low osmotic pressure hydrate covers grow, forcing out particles
and ions into the bulk; at high osmotic pressure they collapse to small size,
reducing osmotic pressure. Existence of self-oscillatory processes was
confirmed by a mathematical model.


title: Integrate-and-fire models with an almost periodic input function

abstract:
  We investigate leaky integrate-and-fire models (LIF models for short) driven
by Stepanov and $\mu$-almost periodic functions. Special attention is paid to
the properties of a firing map and its displacement, which give information
about the spiking behaviour of the system under consideration. We provide
conditions under which such maps are well-defined for every $t \in \mathbb R$
and are uniformly continuous. Moreover, we show that the LIF model with a
Stepanov almost periodic input has a uniformly almost periodic displacement
map. We also show that in the case of a $\mu$-almost periodic drive it may
happen that the displacement map corresponding to the LIF model is uniformly
continuous, but is not $\mu$-almost periodic (and thus cannot be Stepanov or
uniformly almost periodic). By allowing discontinuous inputs, we generalize
some results of previous papers, showing, for example, that the firing rate for
the LIF model with a Stepanov almost periodic drive exists and is unique. This
is a starting point for the investigation of the dynamics of
almost-periodically driven integrate-and-fire systems. The work provides also
some contributions to the theory of Stepanov- and $\mu$-almost periodic
functions.


title: Experimental status of neutrino scattering

abstract:
  After highlighting the importance of neutrino cross section modeling for
neutrino oscillation measurements, the most recent neutrino cross section
measurements are presented. New preliminary results are available from T2K for
the measurement of charged current interactions on carbon without pions in the
final state, single pion production in water, coherent pion production in
carbon and charged current inclusive interactions in carbon as a function of
neutrino energy. Few other results already published by the MINERvA and T2K
collaborations are also discussed.


title:
The DNA Nucleobase Thymine in Motion - Intersystem Crossing Simulated
  with Surface Hopping

abstract:
  We report ab initio excited-state dynamics simulations on isolated thymine to
investigate the mechanism of intersystem crossing, based on CASSCF potential
energy surfaces and the \textsc{Sharc} surface hopping method. We show that
even though $S_2 \rightarrow S_1$ internal conversion is not described
accurately with CASSCF, intersystem crossing can be correctly simulated.
Intersystem crossing in thymine occurs from the $S_1$ ($^1n\pi^*$) minimum, via
a nearby crossing with $T_2$ ($^3\pi\pi^*$). The system further relaxes via
ultrafast internal conversion in the triplet manifold to the $T_1$
($^3\pi\pi^*$) state. The simulations reveal that, once the system is trapped
in the $^1n\pi^*$ minimum, intersystem crossing might proceed with a time
constant of 1~ps. Furthermore, the change of the system's electronic state is
accompanied respectively by elongation/shortening of specific bonds, which
could thus be used as indicators to identify which state is populated in the
dynamics.


title:
Efficient Photocatalytic H2 Evolution: Controlled Dewetting-Dealloying
  to Fabricate Site-Selective High-activity Nanoporous Au Particles on Highly
  Ordered TiO2 Nanotube Arrays

abstract:
  Overlaid self-ordering processes: we form anodic self-organized TiO2
nanostumps and exploit them for self-ordering dewetting of Au-Ag sputtered
films. This forms ordered particle configurations at tube top (crown position)
or bottom (ground position). By dealloying we then form, from minimal amount of
noble metal, porous Au nanoparticles that when in crown position allow for a
drastically improved photocatalytic H2 production compared with nanoparticles
produced by conventional dewetting processes.


title: Standard canonical support loci

abstract:
  We consider the union of certain irreducible components of cohomological
support loci of the canonical bundle, which we call standard. We prove a
structure theorem about them and single out some particular cases, recovering
and improving results of Beauville and Chen-Jiang. Finally, as an example of
application, we extend to compact Kahler manifolds the classification of smooth
complex projective varieties with $p_1(X)=1$, $p_3(X)=2$ and $q(X)=\dim X$.


title: Avoidability of circular formulas

abstract:
  Clark has defined the notion of $n$-avoidance basis which contains the
avoidable formulas with at most $n$ variables that are closest to be
unavoidable in some sense. The family $C_i$ of circular formulas is such that
$C_1=AA$, $C_2=ABA.BAB$, $C_3=ABCA.BCAB.CABC$ and so on. For every $i\le n$,
the $n$-avoidance basis contains $C_i$. Clark showed that the avoidability
index of every circular formula and of every formula in the $3$-avoidance basis
(and thus of every avoidable formula containing at most 3 variables) is at most
4. We determine exactly the avoidability index of these formulas.


title: Finite temperature expansion dynamics of Bose-Einstein condensates

abstract:
  We explore the effects of finite temperature on the dynamics of Bose-Einstein
condensates (BECs) after it is released from the confining potential. In
addition, we examine the variation in the expansion dynamics of the BECs as the
confining potential is transformed from a multiply to a simply connected
geometry. To include the effects of finite temperatures we use the frozen
thermal cloud approximation, and observe unique features of the condensate
density distribution when released from the confining potential. We find that
at $T\neq 0$, during the initial stages of expansion, the multiply connected
condensate has more pronounced interference rings compared to the case of zero
temperature. Such difference in the dynamical evolution is also evident for
simply connected condensates.


title:
On Two Conjectures about Permutation Trinomials over
  $\mathbb{F}_{3^{2k}}$

abstract:
  Permutation polynomials with few terms attracts researchers' interest in
recent years due to their simple algebraic form and some additional
extraordinary properties. In this paper, by analyzing the quadratic factors of
a fifth-degree polynomial and a seventh-degree polynomial over the finite field
$\mathbb{F}_{3^{2k}}$, two conjectures on permutation trinomials over
$\mathbb{F}_{3^{2k}}$ proposed recently by Li, Qu, Li and Fu are settled, where
$k$ is a positive integer.


title:
Energy Dissipation during Diffusion at Metal Surfaces: Disentangling the
  Role of Phonons vs. Electron-Hole Pairs

abstract:
  Helium spin echo experiments combined with ab initio-based Langevin molecular
dynamics simulations are used to quantify the adsorbate-substrate coupling
during the thermal diffusion of Na atoms on Cu(111). An analysis of
trajectories within the local density friction approximation allows the
contribution from electron-hole pair excitations to be separated from the total
energy dissipation. Despite the minimal electronic friction coefficient of Na
and the relatively small mass mismatch to Cu promoting efficient phononic
dissipation, about $(20\pm5)\%$ of the total energy loss is attributable to
electronic friction. The results suggest a significant role of electronic
non-adiabaticity in the rapid thermalization generally relied upon in adiabatic
diffusion theories.


title:
The Qualitative and Numerical Analysis of the Cosmological Model Based
  on Phantom Scalar Field with Self

abstract:
  In this paper we investigate the asymptotic behavior of the cosmological
model based on phantom scalar field on the ground of qualitative analysis of
the system of the cosmological model's differential equations and show that as
opposed to models with classical scalar field, such models have stable
asymptotic solutions with constant value of the potential both in infinite past
and infinite future. We also develop numerical models of the cosmological
evolution models with phantom scalar field in this paper.
  {\bf keywords}: cosmological model, phantom scalar field, quality analysis,
asymptotic behavior, numerical simulation, numerical gravitation.\\ {\bf PACS}:
04.20.Cv, 98.80.Cq, 96.50.S 52.27.Ny


title: A decade of GRB follow-up by BOOTES in Spain (2003-2013)

abstract:
  This article covers ten years of GRB follow-ups by the Spanish BOOTES
stations: 71 follow-ups providing 23 detections. Follow-ups by BOOTES-1B from
2005 to 2008 were given in the previous article, and are here reviewed,
updated, and include additional detection data points as the former article
merely stated their existence. The all-sky cameras CASSANDRA have not yet
detected any GRB optical afterglows, but limits are reported where available.


title: rHARM: Accretion and Ejection in Resistive GR-MHD

abstract:
  Turbulent magnetic diffusivity plays an important role for accretion disks
and the launching of disk winds. We have implemented magnetic diffusivity,
respective resistivity in the general relativistic MHD code HARM. This paper
describes the theoretical background of our implementation, its numerical
realization, our numerical tests and preliminary applications. The test
simulations of the new code rHARM are compared with an analytic solution of the
diffusion equation and a classical shock tube problem. We have further
investigated the evolution of the magneto-rotational instability (MRI) in tori
around black holes for a range of magnetic diffusivities. We find indication
for a critical magnetic diffusivity (for our setup) beyond which no MRI
develops in the linear regime and for which accretion of torus material to the
black hole is delayed. Preliminary simulations of magnetically diffusive thin
accretion disks around Schwarzschild black holes that are threaded by a
large-scale poloidal magnetic field show the launching of disk winds with mass
fluxes of about 50% of the accretion rate. The disk magnetic diffusivity allows
for efficient disk accretion that replenishes the mass reservoir of the inner
disk area and thus allows for long-term simulations of wind launching for more
than 5000 time units.


title:
Spectroscopic characterisation of microlensing events Towards a new
  interpretation of OGLE-2011-BLG-0417

abstract:
  The microlensing event OGLE-2011-BLG-0417 is an exceptionally bright lens
binary that was predicted to present radial velocity variation at the level of
several km/s. Pioneer radial velocity follow-up observations with the UVES
spectrograph at the ESO - VLT of this system clearly ruled out the large radial
velocity variation, leaving a discrepancy between the observation and the
prediction. In this paper, we further characterise the microlensing system by
analysing its spectral energy distribution (SED) derived using the UVES
spectrum and new observations with the ARCoIRIS (CTIO) near-infrared
spectrograph and the Keck adaptive optics instrument NIRC2 in the J, H, and Ks
bands. We determine the mass and distance of the stars independently from the
microlensing modelling. We find that the SED is compatible with a giant star in
the Galactic bulge and a foreground star with a mass of 0.94+/-0.09Msun at a
distance of 1.07+/-0.24kpc. We find that this foreground star is likely the
lens. Its parameters are not compatible with the ones previously reported in
the literature (0.52+/-0.04Msun at 0.95+/-0.06kpc), based on the microlensing
light curve. A thoughtful re-analysis of the microlensing event is mandatory to
fully understand the reason of this new discrepancy. More importantly, this
paper demonstrates that spectroscopic follow-up observations of microlensing
events are possible and provide independent constraints on the parameters of
the lens and source stars, hence breaking some degeneracies in the analysis.
UV-to-NIR low-resolution spectrographs like X-SHOOTER (ESO - VLT) could
substantially contribute to this follow-up efforts, with magnitude limits above
all microlensing events detected so far.


title: beta-functions in higher dimensional field theories

abstract:
  We review recent activity in the construction of the renormalization group
functions for O(N) scalar and gauge theories in six and higher dimensions. The
theories lie in their respective universality classes at the Wilson-Fisher
fixed point. The critical exponents at this fixed point in the various
dimensions are all in agreement with the known exponents determined in the
large Nexpansion.


title: Role of core excitation in (d,p) transfer reactions

abstract:
  [Background:] Recent work found that core excitation can be important in
extracting structure information from (d,p) reactions. [Purpose:] Our objective
is to systematically explore the role of core excitation in (d,p) reactions,
and understand the origin of the dynamical effects. [Method:] Based on the
particle-rotor model of $n+^{10}$Be, we generate a number of models with a
range of separation energies ($S_n=0.1-5.0$ MeV), while maintaining a
significant core excited component. We then apply the latest extension of the
momentum-space based Faddeev method, including dynamical core excitation in the
reaction mechanism to all orders, to the $^{10}$Be(d,p)$^{11}$Be like
reactions, and study the excitation effects for beam energies from $E_d=15-90$
MeV. [Results:] We study the resulting angular distributions and the
differences between the spectroscopic factor that would be extracted from the
cross sections, when including dynamical core excitation in the reaction, to
that of the original structure model. We also explore how different partial
waves affect the final cross section. [Conclusions:] Our results show a strong
beam energy dependence of the extracted spectroscopic factors that become
smaller for intermediate beam energies. This dependence increases for loosely
bound systems.


title: Remark on a nonlocal isoperimetric problem

abstract:
  We consider isoperimetric problem with a nonlocal repulsive term given by the
Newtonian potential. We prove that regular critical sets of the functional are
analytic. This optimal regularity holds also for critical sets of the
Ohta-Kawasaki functional. We also prove that when the strength of the nonlocal
part is small the ball is the only possible stable critical set.


title:
Explicit Bound for Quadratic Lagrange Interpolation Constant on
  Triangular Finite Elements

abstract:
  For the quadratic Lagrange interpolation function, an algorithm is proposed
to provide explicit and verified bound for the interpolation error constant
that appears in the interpolation error estimation. The upper bound for the
interpolation constant is obtained by solving an eigenvalue problem along with
explicit lower bound for its eigenvalues. The lower bound for interpolation
constant can be easily obtained by applying the Rayleigh-Ritz method. Numerical
computation is performed to demonstrate the sharpness of lower and upper bounds
of the interpolation constants over triangles of different shapes. An online
computing demo is available at http://www.xfliu.org/onlinelab/.


title: Entropy Production in a Lepton-Photon Universe

abstract:
  We look at the entropy production during the lepton era in the early Universe
by using a model where we exclude all particles except the leptons and photons.
We assume a temperature dependent viscosity as calculated recently by one of us
(Husdal 2016) with use of relativistic kinetic theory. We consider only the
bulk viscosity, the shear viscosity being omitted because of spatial isotropy.
The rate of entropy production is highest just before the neutrinos decouple.
Our results show that the increase in entropy during the lepton era is quite
small, about 0.071 % at a decoupling temperature of $T=10^{10}~\mathrm{K}$.
This result is slightly smaller than that obtained earlier by Caderni and
Fabbri (1977). After the neutrino decoupling, when the Universe has entered the
photon era, kinetic-theory arguments no longer support the appearance of a bulk
viscosity. At high temperatures and a stable particle ratio, entropy production
(d$\sigma$/d$T$) goes as $T^{-8}$, with the total entropy ($\Delta \sigma$)
increasing as $T^{-7}$. These rates go slightly down just before the neutrinos
decouple, where $\Delta \sigma \propto T^{-6.2}$.


title: Celestial mechanics of elastic bodies II

abstract:
  We construct time independent configurations describing a small elastic body
moving in a circular orbit in the Schwarzschild spacetime. These configurations
are relativistic versions of Newtonian solutions constructed previously by us.
In the process we simplify and sharpen previous results of ours concerning
elastic bodies in rigid rotation.


title: Note on recursion relations for the $\mathcal{Q}$-cut representation

abstract:
  In this note, we study the $\mathcal{Q}$-cut representation by combining it
with BCFW deformation. As a consequence, the one-loop integrand is expressed in
terms of a recursion relation, i.e., $n$-point one-loop integrand is
constructed using tree-level amplitudes and $m$-point one-loop integrands with
$m\leq n-1$. By giving explicit examples, we show that the integrand from the
recursion relation is equivalent to that from Feynman diagrams or the original
$\mathcal{Q}$-cut construction, up to scale free terms.


title: A Budget Feasible Mechanism for Hiring Doctors in E-Healthcare

abstract:
  Throughout the past decade, there has been an extensive research on
scheduling the hospital resources such as the operation theatre(s) (OTs) and
the experts (such as nurses, doctors etc.) inside the hospitals. With the
technological growth, mainly advancement in communication media (such as smart
phones, video conferencing, smart watches etc.) one may think of taking the
expertise by the doctors (distributed around the globe) from outside the
in-house hospitals. Earlier this interesting situation of hiring doctors from
outside the hospitals has been studied from monetary (with patient having
infinite budget) and non-monetary perspectives in strategic setting. In this
paper, the more realistic situation is studied in terms of hiring the doctors
from outside the hospital when a patient is constrained by budget. Our proposed
mechanisms follow the two pass mechanism design framework each consisting of
allocation rule and payment rule. Through simulations, we evaluate the
performance and validate our proposed mechanisms.


title: Magnetic resonances of multiferroic TbFe$_3$(BO$_3$)$_4$

abstract:
  Low-energy magnetic excitations of the easy-axis antiferromagnet
TbFe$_3$(BO$_3$)$_4$ are investigated by far-infrared absorption and reflection
spectroscopy in high magnetic fields up to 30 T. The observed field dependence
of the resonance frequencies and the magnetization are reproduced by a
mean-field spin model for magnetic fields applied both along and perpendicular
to the easy axis. Based on this model we determined the full set of magnetic
interactions, including Fe-Fe and Fe-Tb exchange interactions, single-ion
anisotropy for Tb ions and $g$-factors, which describe the ground-state spin
texture and the low-energy spin excitations of TbFe$_3$(BO$_3$)$_4$. Compared
to earlier studies we allow a small canting of the nearly Ising-like Tb moments
to achieve a quantitative agreement with the magnetic susceptibility
measurements. The additional high energy magnetic resonance lines observed,
besides the two resonances expected for a two-sublattice antiferromagnet,
suggest a more complex six-sublattice magnetic ground state for
TbFe$_3$(BO$_3$)$_4$.


title: Construction of a Kaluza-Klein type Theory from One Dimension

abstract:
  We describe how a physical theory incorporating the properties of fields
deriving from extra-dimensional structures over a four-dimensional spacetime
manifold can in principle be obtained through the analysis of a simple initial
structure consisting of the one dimension of time alone, as represented by the
real line. The simplicity of this starting point leads to symmetries of
multi-dimensional forms of time, from which a geometrical structure can be
derived which is similar to the framework employed in non-Abelian Kaluza-Klein
theories. This leads to a relationship between the external and internal
curvature on the spacetime manifold unified through the underlying constraint
of the one dimension of time for the theory presented here. We also describe
how the symmetry breaking structure is compatible with the Coleman-Mandula
theorem for the subsequent quantisation of the theory.


title: What's wrong with the Platonic ideal of space and time?

abstract:
  This is a chapter for an upcoming book, "Space, Time, and the Limits of Human
Understanding", edited by Shyam Wuppuluri and Giancarlo Ghirardi. I first
present the classical picture of flat space and ever-flowing time, as generally
accepted until about 1900, discuss the challenges posed by modern physics and
the adjustments required by special relativity, general relativity and quantum
mechanics, and finally consider (and reject) a recent hypothesis that
space-time is essentially discrete. Ultimately, none of the simple answers to
"what is space-time?" stand up to reality. We have more work ahead of us!


title: Optimal trading policies for wind energy producer

abstract:
  We study the optimal trading policies for a wind energy producer who aims to
sell the future production in the open forward, spot, intraday and adjustment
markets, and who has access to imperfect dynamically updated forecasts of the
future production. We construct a stochastic model for the forecast evolution
and determine the optimal trading policies which are updated dynamically as new
forecast information becomes available. Our results allow to quantify the
expected future gain of the wind producer and to determine the economic value
of the forecasts.


title:
Studying the Indian mobile Internet networks: Chota recharge and the
  chota Internet

abstract:
  Uniform and affordable Internet is emerging as one of the fundamental civil
rights in developing countries. However in India, the connectivity is far from
uniform across the regions, where the disparity is evident in the
infrastructure, the cost of access and telecommunication services to provide
Internet facilities among different economic classes. In spite of having a
large mobile user base, the mobile Internet are still remarkably slower in some
of the developing countries. Especially in India, it falls below 50% even in
comparison with the performance of its developing counterparts!
  This essay presents a study of connectivity and performance trends based on
an exploratory analysis of mobile Internet measurement data from India. In
order to assess the state of mobile networks and its readiness in adopting the
different mobile standards (2G, 3G, and 4G) for commercial use, we discuss the
spread, penetration, interoperability and the congestion trends. Based on our
analysis, we argue that the network operators have taken negligible measures to
scale the mobile Internet. Affordable Internet is definitely for everyone. But,
the affordability of the Internet in terms of cost does not necessarily imply
the rightful access to Internet services.
  Chota recharge is possibly leading us to chota (shrunken) Internet!


title: On the Existence of a Sample Mean in Dynamic Time Warping Spaces

abstract:
  The concept of sample mean in dynamic time warping (DTW) spaces has been
successfully applied to improve pattern recognition systems and generalize
centroid-based clustering algorithms. Its existence has neither been proved nor
challenged. This article presents sufficient conditions for existence of a
sample mean in DTW spaces. The proposed result justifies prior work on
approximate mean algorithms, sets the stage for constructing exact mean
algorithms, and is a first step towards a statistical theory of DTW spaces.


title: Persistent Contextual Values as Inter-Process Layers

abstract:
  Mobile applications today often fail to be context aware when they also need
to be customizable and efficient at run-time. Context-oriented programming
allows programmers to develop applications that are more context aware. Its
central construct, the so-called layer, however, is not customizable. We
propose to use novel persistent contextual values for mobile development.
Persistent contextual values automatically adapt their value to the context.
Furthermore they provide access without overhead. Key-value configuration files
contain the specification of contextual values and the persisted contextual
values themselves. By modifying the configuration files, the contextual values
can easily be customized for every context. From the specification, we generate
code to simplify development. Our implementation, called Elektra, permits
development in several languages including C++ and Java. In a benchmark we
compare layer activations between threads and between applications. In a case
study involving a web-server on a mobile embedded device the performance
overhead is minimal, even with many context switches.


title: Causal spin foams

abstract:
  I discuss how to impose causality on spin-foam models, separating forward and
backward propagation, turning a given triangulation to a 'causal set', and
giving asymptotically the exponential of the Regge action, not a cosine. I show
the equivalence of the prescriptions which have been proposed to achieve this.
Essential to the argument is the closure condition for the 4-simplices, all
made of space-like tetrahedra.


title:
Elemental partitioning and isotopic fractionation of Zn between metal
  and silicate and geochemical estimation of the S content of the Earth's core

abstract:
  Zinc metal-silicate fractionation provides experimental access to the
conditions of core formation and Zn has been used to estimate the S contents of
the Earth's core and of the bulk Earth, assuming that they share similar
volatility and that Zn was not partitioned into the Earth's core. We have
conducted a suite of partitioning experiments to characterize Zn metal-silicate
elemental and isotopic fractionation as a function of time, temperature, and
composition. Experiments were conducted at temperatures from 1473-2273K, with
run durations from 5-240 minutes for four starting materials. Chemical and
isotopic equilibrium is achieved within 10 minutes. Zinc metal-silicate
isotopic fractionation displays no resolvable dependence on temperature,
composition, or oxygen fugacity. Thus, the Zn isotopic composition of silicate
phases can be used as a proxy for bulk telluric bodies. Results from this study
and literature data were used to parameterize Zn metal-silicate partitioning as
a function of temperature, pressure, and redox state. Using this
parameterization and viable formation conditions, we have estimated a range of
Zn contents in the cores of iron meteorite parent bodies (i.e. iron meteorites)
of ~0.1-150 ppm, in good agreement with natural observations. We have
calculated the first geochemical estimates for the Zn contents of the Earth's
core and of the bulk Earth, at 242 +/-107 ppm and 114 +/-34 ppm (respectively),
that consider the slightly siderophile behavior of Zn and are therefore
significantly higher than previous estimates. Assuming similar volatility for S
and Zn, a chondritic S/Zn ratio, and considering our new estimates, we have
calculated a geochemical upper bound for the S content of the Earth's core of
6.3 +/-1.9 wt%. This indicates that S may be a major contributor to the density
deficit of the Earth's core or that the S/Zn ratio for the Earth is
non-chondritic.


title: Experimental weak measurement of two non-commuting observables

abstract:
  The fact that not all quantum observables are jointly measurable is one of
the major differences between quantum and classical theory. In the former,
non-commuting observables can only be simultaneously measured with limited
precision. We report on an experimental implementation of such a simultaneous
measurement of two non-commuting observables based on the framework of weak von
Neumann measurements. We use a photonic setup where the polarisation degree of
freedom acts as the system and the two components of the transversal position
correspond to the pointers of the measurement apparatuses. In addition, the
theory shows that these weak measurements demonstrate a counter-intuitive
non-monotonicity: weaker measurements can potentially reveal more information
than stronger ones.


title: On the combination of omics data for prediction of binary outcomes

abstract:
  Enrichment of predictive models with new biomolecular markers is an important
task in high-dimensional omic applications. Increasingly, clinical studies
include several sets of such omics markers available for each patient,
measuring different levels of biological variation. As a result, one of the
main challenges in predictive research is the integration of different sources
of omic biomarkers for the prediction of health traits. We review several
approaches for the combination of omic markers in the context of binary outcome
prediction, all based on double cross-validation and regularized regression
models. We evaluate their performance in terms of calibration and
discrimination and we compare their performance with respect to single-omic
source predictions. We illustrate the methods through the analysis of two real
datasets. On the one hand, we consider the combination of two fractions of
proteomic mass spectrometry for the calibration of a diagnostic rule for the
detection of early-stage breast cancer. On the other hand, we consider
transcriptomics and metabolomics as predictors of obesity using data from the
Dietary, Lifestyle, and Genetic determinants of Obesity and Metabolic syndrome
(DILGOM) study, a population-based cohort, from Finland.


title: Wavemaker theories for acoustic-gravity waves over a finite depth

abstract:
  Acoustic-gravity waves (hereafter AGWs) in ocean have received much interest
recently, mainly with respect to early detection of tsunamis as they travel at
near the speed of sound in water which makes them ideal candidates for early
detection of tsunamis. While the generation mechanisms of AGWs have been
studied from the perspective of vertical oscillations of seafloor and triad
wave-wave interaction, in the current study we are interested in their
generation by wave-structure interaction with possible implication to the
energy sector. Here, we develop two wavemaker theories to analyze different
wave modes generated by impermeable (the classic Havelock's theory) and porous
(porous wavemaker theory) plates in weakly compressible fluids. Slight
modification has been made to the porous theory so that, unlike the previous
theory, the new solution depends on the geometry of the plate. The expressions
for three different types of plates (piston, flap, delta-function) are
introduced. Analytical solutions are also derived for the potential amplitude
of the gravity, acoustic-gravity, evanescent waves, as well as the surface
elevation, velocity distribution, and pressure for AGWs. Both theories reduce
to previous results for incompressible flow when the compressibility is
neglected. We also show numerical examples for AGWs generated in a wave flume
as well as in deep ocean. Our current study sets the theoretical background
towards remote sensing by AGWs, for optimized deep ocean wave-power harnessing,
among others.


title:
A Geometrical-Statistical approach to outlier removal for TDOA
  measuments

abstract:
  The curse of outlier measurements in estimation problems is a well known
issue in a variety of fields. Therefore, outlier removal procedures, which
enables the identification of spurious measurements within a set, have been
developed for many different scenarios and applications. In this paper, we
propose a statistically motivated outlier removal algorithm for time
differences of arrival (TDOAs), or equivalently range differences (RD),
acquired at sensor arrays. The method exploits the TDOA-space formalism and
works by only knowing relative sensor positions. As the proposed method is
completely independent from the application for which measurements are used, it
can be reliably used to identify outliers within a set of TDOA/RD measurements
in different fields (e.g. acoustic source localization, sensor synchronization,
radar, remote sensing, etc.). The proposed outlier removal algorithm is
validated by means of synthetic simulations and real experiments.


title: A chart for the energy levels of the square quantum well

abstract:
  A chart for the quantum mechanics of a particle of mass $m$ in a
one-dimensional potential well of width $w$ and depth $V_0$ is derived. The
chart is obtained by normalizing energy and potential through multiplication by
${8 m}{w^2} / h^2$, and gives directly the allowed couples (potential, energy),
providing insights on the relation between the parameters and the number of
allowed energy levels.


title: On the Theory of Type 1,1-Operators

abstract:
  This dissertation concerns the pseudo-differential operators of type 1,1.
These have been known especially since around 1980, when it was shown that they
play an important role in the treatment of fully non-linear partial
differential equations. First an account of the historical development in the
area is given, including fundamental contributions due to G. Bourdaud and L.
H\"ormander in 1988-89, with concise remarks on the authors contributions.
Secondly a detailed exposition is given of the systematic theory of type
1,1-operators, based on the general definition of such operators proposed by
the author in 2008. This includes an account of how the previous extensions are
generalised hereby. Moreover, the conjecture from 1978 by C. Parenti and L.
Rodino that type 1,1-operators are pseudo-local is proved in this framework. It
is also analysed how such operators can change the support and the spectrum of
the functions they act on. Furthermore, the question of which temperate
distributions such operators have in their domains have been extensively
treated, and departing from H\"ormander's analysis of the operators fulfilling
the twisted diagonal condition or, more generally, belong to the self-adjoint
subclass, such operators are shown to be everywhere defined. Finally the
paradifferential splittings and the resulting boundedness in Lp Sobolev spaces,
and the more general Besov and Lizorkin--Triebel spaces, are amply discussed.


title: A singular mutation in the hemagglutinin of the 1918 pandemic virus

abstract:
  The influenza pandemic of 1918-1919 killed at least 50 million people. The
reasons why this pandemic was so deadly remain largely unknown. However, It has
been shown that the 1918 viral hemagglutinin allows to reproduce the hallmarks
of the illness observed during the original pandemic. Thanks to the wealth of
hemagglutinin sequences accumulated over the last decades, amino-acid
substitutions that are found in the 1918-1919 sequences but rare otherwise can
be identified with high confidence. Such an analysis reveals that Gly188, which
is located within a key motif of the receptor binding site, is so rarely found
in hemagglutinin sequences that, taken alone, it is likely to be deleterious.
Monitoring this singular mutation in viral sequences may help prevent another
dramatic pandemic.


title: Zooming in on a L\'evy process at its supremum

abstract:
  Let $M$ and $\tau$ be the supremum and its time of a L\'evy process $X$ on
some finite time interval. It is shown that zooming in on $X$ at its supremum,
that is, considering $((X_{\tau+t\varepsilon}-M)/a_\varepsilon)_{t\in\mathbb
R}$ as $\varepsilon\downarrow 0$, results in $(\xi_t)_{t\in\mathbb R}$
constructed from two independent processes having the laws of some self-similar
L\'evy process $\widehat X$ conditioned to stay positive and negative. This
holds when $X$ is in the domain of attraction of $\widehat X$ under the
zooming-in procedure as opposed to the classical zooming out of Lamperti
(1962). As an application of this result we establish a limit theorem for the
discretization errors in simulation of supremum and its time, which extends the
result of Asmussen, Glynn and Pitman (1995) for the Brownian motion.
Additionally, complete characterization of the domains of attraction when
zooming in on a L\'evy process at 0 is provided.


title:
Computation of the coefficients appearing in the uniform asymptotic
  expansions of integrals

abstract:
  The coefficients that appear in uniform asymptotic expansions for integrals
are typically very complicated. In the existing literature the majority of the
work only give the first two coefficients. In a limited number of papers where
more coefficients are given the evaluation of the coefficients near the
coalescence points is normally highly numerically unstable. In this paper, we
illustrate how well-known Cauchy type integral representations can be used to
compute the coefficients in a very stable and efficient manner. We discuss the
cases: (i) two coalescing saddles, (ii) two saddles coalesce with two branch
points, (iii) a saddle point near an endpoint of the interval of integration.
As a special case of (ii) we give a new uniform asymptotic expansion for Jacobi
polynomials $P_n^{(\alpha,\beta)}(z)$ in terms of Laguerre polynomials
$L_n^{(\alpha)}(x)$ as $n\to\infty$ that holds uniformly for $z$ near $1$.
Several numerical illustrations are included.


title: A Lauricella hypergeometric series over finite fields

abstract:
  In this paper we introduce a finite field analogue of a Lauricella
hypergeometric series. An integral formula for the Lauricella hypergeometric
series and its finite field analogue are deduced. Transformation and reduction
formulae and several generating functions for the Lauricella hypergeometric
series over finite fields are obtained. Some of these generalize certain
results of Li \emph{et al} and Greene as well as several other known results.


title:
Local environment effects in the magnetic properties and electronic
  structure of disordered FePt

abstract:
  Local aspects of magnetism of disordered FePt are investigated by ab initio
fully relativistic full potential calculations, employing the supercell
approach and the coherent potential approximation (CPA). The focus is on trends
of the spin and orbital magnetic moments with chemical composition and with
bond lengths around the Fe and Pt atoms. A small but distinct difference
between average magnetic moments obtained when using the supercells and when
relying on the CPA is identified and linked to the neglect of the Madelung
potential in the CPA.


title:
Long distance co-propagation of quantum key distribution and terabit
  classical optical data channels

abstract:
  Quantum key distribution (QKD) generates symmetric keys between two remote
parties, and guarantees the keys not accessible to any third party. Wavelength
division multiplexing (WDM) between QKD and classical optical communications by
sharing the existing fibre optics infrastructure is highly desired in order to
reduce the cost of QKD applications. However, quantum signals are extremely
weak and thus easily affected by the spontaneous Raman scattering effect from
intensive classical light. Here, by means of wavelength selecting and spectral
and temporal filtering, we realize the multiplexing and long distance
co-propagation of QKD and Terabit classical coherent optical communication
system up to 80km. The data capacity is two orders of magnitude larger than the
previous results. Our demonstration verifies the feasibility of QKD and
classical communication to share the resources of backbone fibre links, and
thus taking the utility of QKD a great step forward.


title:
Violation of detailed balance for charge-transfer statistics in
  Coulomb-blockade systems

abstract:
  We discuss the possibility to generate in Coulomb-blockade systems steady
states that violate detailed balance. This includes both voltage biased and
non-biased scenarios. The violation of detailed balance yields that the
charge-transfer statistics for electrons tunneling into an island experiencing
strong Coulomb interaction is different from the statistics for tunneling out.
This can be experimentally tested by time-resolved measurement of the island's
charge state. We demonstrate this claim for two model systems.


title: Shape of the magnetoroton at $\nu=1/3$ and $\nu=7/3$ in real samples

abstract:
  We revisit the theory of the collective neutral excitation mode in the
fractional quantum Hall effect at Landau level filling fractions $\nu=1/3$ and
$\nu=7/3$. We include the effect of finite thickness of the two-dimensional
electron gas and use extensive exact diagonalizations in the torus geometry. In
the lowest Landau level the collective gapped mode i.e. the magnetoroton always
merges in the continuum in the long-wavelength limit. In the second Landau
level the mode is well-defined only for wavevectors smaller than a critical
value and disappears in the continuum beyond this point. Its curvature near
zero momentum is opposite to that of the LLL. It is well separated from the
continuum even at zero momentum and the gap of the continuum of higher-lying
states is twice the collective mode gap at $k=0$. The shape of the dispersion
relation survives a perturbative treatment of Landau level mixing.


title:
Varifold solutions of a sharp interface limit of a diffuse interface
  model for tumor growth

abstract:
  We discuss the sharp interface limit of a diffuse interface model for a
coupled Cahn-Hilliard--Darcy system that models tumor growth when a certain
parameter $\varepsilon>0$, related to the interface thickness, tends to zero.
In particular, we prove that weak solutions to the related initial boundary
value problem tend to varifold solutions of a corresponding sharp interface
model when $\varepsilon$ goes to zero.


title:
Efficient and accurate computation of electric field dyadic Green's
  function in layered media

abstract:
  Concise and explicit formulas for dyadic Green's functions, representing the
electric and magnetic fields due to a dipole source placed in layered media,
are derived in this paper. First, the electric and magnetic fields in the
spectral domain for the half space are expressed using Fresnel reflection and
transmission coefficients. Each component of electric field in the spectral
domain constitutes the spectral Green's function in layered media. The Green's
function in the spatial domain is then recovered involving Sommerfeld integrals
for each component in the spectral domain. By using Bessel identities, the
number of Sommerfeld integrals are reduced, resulting in much simpler and more
efficient formulas for numerical implementation compared with previous results.
This approach is extended to the three-layer Green's function. In addition, the
singular part of the Green's function is naturally separated out so that
integral equation methods developed for free space Green's functions can be
used with minimal modification. Numerical results are included to show
efficiency and accuracy of the derived formulas.


title: What can we learn from NJL-type models about dense matter?

abstract:
  The merits and limitations of the Nambu--Jona-Lasinio model as a model for
strong interactions at nonzero density are critically discussed. We present
several examples, demonstrating that, while in general the results should not
be trusted quantitatively, the NJL model is a powerful theoretical tool for
getting new insights and ideas about the QCD phase diagram and the dense-matter
equation of state.


title: Activation of MHD reconnection on ideal timescales

abstract:
  Magnetic reconnection in laboratory, space and astrophysical plasmas is often
invoked to explain explosive energy release and particle acceleration. However,
the timescales involved in classical models within the macroscopic MHD regime
are far too slow to match the observations. Here we revisit the tearing
instability by performing visco-resistive two-dimensional numerical simulations
of the evolution of thin current sheets, for a variety of initial
configurations and of values of the Lunquist number $S$, up to $10^7$. Results
confirm that when the critical aspect ratio of $S^{1/3}$ is reached in the
reconnecting current sheets, the instability proceeds on ideal (Alfv\'enic)
macroscopic timescales, as required to explain observations. Moreover, the same
scaling is seen to apply also to the local, secondary reconnection events
triggered during the nonlinear phase of the tearing instability, thus
accelerating the cascading process to increasingly smaller spatial and temporal
scales. The process appears to be robust, as the predicted scaling is measured
both in inviscid simulations and when using a Prandtl number $P=1$ in the
viscous regime.


title:
Fictitious domain method with boundary value correction using
  penalty-free Nitsche method

abstract:
  In this paper, we consider a fictitious domain approach based on a Nitsche
type method without penalty. To allow for high order approximation using
piecewise affine approximation of the geometry we use a boundary value
correction technique based on Taylor expansion from the approximate to the
physical boundary. To ensure stability of the method a ghost penalty
stabilization is considered in the boundary zone. We prove optimal error
estimates in the $H^1$-norm and estimates suboptimal by
$\mathcal{O}(h^{\frac12})$ in the $L^2$-norm. The suboptimality is due to the
lack of adjoint consistency of our formulation. Numerical results are provided
to corroborate the theoretical study.


title:
Performance Improvement of an AS-friendly Peer Selection Algorithm for
  P2P Live Streaming

abstract:
  Minimum Physical Hop (MPH) has been proposed as a peer selection algorithm
for decreasing inter-AS (Autonomous System) traffic volume in P2P live
streaming. In MPH, a newly joining peer selects a peer whose physical hop count
(i.e., the number of ASes traversed on the content delivery path) from it is
the minimum as its providing peer. However, MPH shows high inter-AS traffic
volume when the number of joining peers is large. In this paper, we propose
IMPH that tries to further decrease the inter-AS traffic volume by distributing
peers with one logical hop count (i.e., the number of peers or origin streaming
servers (OSSes) traversed on the content delivery path from an OSS to the peer)
to many ASes and encouraging the following peers to find their providing peers
within the same AS. Numerical examples show that IMPH achieves at the maximum
of 64% lower inter-AS traffic volume than MPH.


title: $\eta$ bound state: theory and experiment

abstract:
  The search for a quasi bound $\eta$ meson in atomic nuclei is reviewed. This
tentative state is studied theoretically as well as experimentally.


title: Exact Solution to Interacting Kitaev Chain at Symmetric Point

abstract:
  Kitaev chain model with nearest neighbor interaction U is solved exactly at
the symmetry point $\Delta=t$ and chemical potential $\mu=0$ in open boundary
condition. By applying two Jordan-Wigner transformations and a spin-rotation,
such a symmetric interacting model is mapped to a non-interacting fermion
model, which can be diagonalized exactly. The solutions include topologically
non-trivial phase at $|U|<t$ and topologically trivial phase at $|U|>t$. The
two phases are related by dualities. Quantum phase transitions in the model are
studied with the help of the exact solution.


title: A Tutte polynomial for maps

abstract:
  We follow the example of Tutte in his construction of the dichromate of a
graph (that is, the Tutte polynomial) as a unification of the chromatic
polynomial and the flow polynomial in order to construct a new polynomial
invariant of maps (graphs embedded in orientable surfaces). We call this the
surface Tutte polynomial. The surface Tutte polynomial of a map contains the
Las Vergnas polynomial, Bollob\'as-Riordan polynomial and Kruskhal polynomial
as specializations. By construction, the surface Tutte polynomial includes
among its evaluations the number of local tensions and local flows taking
values in any given finite group. Other evaluations include the number of
quasi-forests.


title: DC Magnetization study of Ni$_{1-x}$Rh$_x$ nanoalloy

abstract:
  Ni$_{1-x}$Rh$_x$ bulk alloys exhibit a ferromagnetic to paramagnetic quantum
phase transition (QPT) at the critical concentration $x_c \sim$ 0.37. A spin
glass phase arises below the Ferromagnetism by controlling the short range
interaction between Ni and Rh atoms. we have synthesized nanoalloys of two
different concentrations with two different reaction times by chemical reflux
method. From the dc magnetization measurements, existence of ferromagnetism and
spin glass phase in these nanoalloys is confirmed. A step like feature in both
ZFC and FC curve at certain temperature indicates the existence of the spin
glass phase.


title:
Rotational Crofton formulae for Minkowski tensors and some affine
  counterparts

abstract:
  Motivated by applications in local stereology, a new rotational Crofton
formula is derived for Minkowski tensors. For sets of positive reach, the
formula shows how rotational averages of intrinsically defined Minkowski
tensors on sections passing through the origin are related to the geometry of
the sectioned set. In particular, for Minkowski tensors of order j-1 on
j-dimensional linear subspaces, we derive an explicit formula for the
rotational average involving hypergeometric functions. Sectioning with lines
and hyperplanes through the origin is considered in detail. We also study the
case where the sections are not restricted to pass through the origin. For sets
of positive reach, we here obtain a Crofton formula for the integral mean of
intrinsically defined Minkowski tensors on j-dimensional affine subspaces.


title: Light Stops from extra dimensions

abstract:
  In supersymmetric models the mass of the stops can be considered as the
naturalness measure of the theory. Roughly, the lighter the stops are, the more
natural the theory is. Both, the absence of supersymmetric signals at
experiment and the measurement of the Higgs mass, put scenarios with light
stops under increasing tension. I will present a supersymmetry breaking
mechanism of the Scherk-Schwarz type that, by introducing extra $SU(2)_L$
triplets in the Higgs sector, is able to generate the correct Higgs mass while
keeping stops light.


title: Amortised MAP Inference for Image Super-resolution

abstract:
  Image super-resolution (SR) is an underdetermined inverse problem, where a
large number of plausible high-resolution images can explain the same
downsampled image. Most current single image SR methods use empirical risk
minimisation, often with a pixel-wise mean squared error (MSE) loss. However,
the outputs from such methods tend to be blurry, over-smoothed and generally
appear implausible. A more desirable approach would employ Maximum a Posteriori
(MAP) inference, preferring solutions that always have a high probability under
the image prior, and thus appear more plausible. Direct MAP estimation for SR
is non-trivial, as it requires us to build a model for the image prior from
samples. Furthermore, MAP inference is often performed via optimisation-based
iterative algorithms which don't compare well with the efficiency of
neural-network-based alternatives. Here we introduce new methods for amortised
MAP inference whereby we calculate the MAP estimate directly using a
convolutional neural network. We first introduce a novel neural network
architecture that performs a projection to the affine subspace of valid SR
solutions ensuring that the high resolution output of the network is always
consistent with the low resolution input. We show that, using this
architecture, the amortised MAP inference problem reduces to minimising the
cross-entropy between two distributions, similar to training generative models.
We propose three methods to solve this optimisation problem: (1) Generative
Adversarial Networks (GAN) (2) denoiser-guided SR which backpropagates
gradient-estimates from denoising to train the network, and (3) a baseline
method using a maximum-likelihood-trained image prior. Our experiments show
that the GAN based approach performs best on real image data. Lastly, we
establish a connection between GANs and amortised variational inference as in
e.g. variational autoencoders.


title:
The End of Optimism? An Asymptotic Analysis of Finite-Armed Linear
  Bandits

abstract:
  Stochastic linear bandits are a natural and simple generalisation of
finite-armed bandits with numerous practical applications. Current approaches
focus on generalising existing techniques for finite-armed bandits, notably the
optimism principle and Thompson sampling. While prior work has mostly been in
the worst-case setting, we analyse the asymptotic instance-dependent regret and
show matching upper and lower bounds on what is achievable. Surprisingly, our
results show that no algorithm based on optimism or Thompson sampling will ever
achieve the optimal rate, and indeed, can be arbitrarily far from optimal, even
in very simple cases. This is a disturbing result because these techniques are
standard tools that are widely used for sequential optimisation. For example,
for generalised linear bandits and reinforcement learning.


title:
Non-equilibrium effects on charge and energy partitioning after an
  interaction quench

abstract:
  Charge and energy fractionalization are among the most intriguing features of
interacting onedimensional fermion systems. In this work we determine how these
phenomena are modified in the presence of an interaction quench. Charge and
energy are injected into the system suddenly after the quench, by means of
tunneling processes with a non-interacting one-dimensional probe. Here, we
demonstrate that the system settles to a steady state in which the charge
fractionalization ratio is unaffected by the pre-quenched parameters. On the
contrary, due to the post-quench nonequilibrium spectral function, the energy
partitioning ratio is strongly modified, reaching values larger than one. This
is a peculiar feature of the non-equilibrium dynamics of the quench process and
it is in sharp contrast with the non-quenched case, where the ratio is bounded
by one.


title:
Reproducible Experiments for Comparing Apache Flink and Apache Spark on
  Public Clouds

abstract:
  Big data processing is a hot topic in today's computer science world. There
is a significant demand for analysing big data to satisfy many requirements of
many industries. Emergence of the Kappa architecture created a strong
requirement for a highly capable and efficient data processing engine.
Therefore data processing engines such as Apache Flink and Apache Spark emerged
in open source world to fulfil that efficient and high performing data
processing requirement. There are many available benchmarks to evaluate those
two data processing engines. But complex deployment patterns and dependencies
make those benchmarks very difficult to reproduce by our own. This project has
two main goals. They are making few of community accepted benchmarks easily
reproducible on cloud and validate the performance claimed by those studies.


title: Localization for Wireless Sensor Networks: A Neural Network Approach

abstract:
  As Wireless Sensor Networks are penetrating into the industrial domain, many
research opportunities are emerging. One such essential and challenging
application is that of node localization. A feed-forward neural network based
methodology is adopted in this paper. The Received Signal Strength Indicator
(RSSI) values of the anchor node beacons are used. The number of anchor nodes
and their configurations has an impact on the accuracy of the localization
system, which is also addressed in this paper. Five different training
algorithms are evaluated to find the training algorithm that gives the best
result. The multi-layer Perceptron (MLP) neural network model was trained using
Matlab. In order to evaluate the performance of the proposed method in real
time, the model obtained was then implemented on the Arduino microcontroller.
With four anchor nodes, an average 2D localization error of 0.2953 m has been
achieved with a 12-12-2 neural network structure. The proposed method can also
be implemented on any other embedded microcontroller system.


title: Compensating strong coupling with large charge

abstract:
  We study some (conformal) field theories with global symmetries in the sector
where the value of the global charge $Q$ is large. We find (as expected) that
the low energy excitations of this sector are described by the general form of
Goldstone's theorem in the non-relativistic regime. We also derive the
unexpected result, first presented in [Hellerman et al. 2015], that the
effective field theory describing such sector of fixed $Q$ contains effective
couplings $\lambda_{\text{eff}}\sim \lambda^b /Q^{a}$, where $\lambda$ is the
original coupling. Hence, large charge leads to weak coupling. In the last
section of the paper we present an outline of how to compute anomalous
dimensions of the $O(n)$ model in this limit.


title: On coupling kinetic and Schrodinger equations

abstract:
  We consider in this paper a system coupling a linear quantum Boltzmann
equation and a defocusing cubic nonlinear Schrodinger equation. The Schrodinger
equation reflects the dynamics of the wave function of the Bose-Einstein
Condensate and the kinetic part of the system describes the evolution of the
density function of the thermal cloud. An existence and uniqueness result for
the system is supplied. We also prove the convergence to equilibrium of the
density function of the thermal cloud and a scattering theory for the wave
function of the condensate.


title: Spinorially twisted Spin structures, III: CR structures

abstract:
  We develop a spinorial description of CR structures of arbitrary codimension.
More precisely, we characterize almost CR structures of arbitrary codimension
on (Riemannian) manifolds by the existence of a Spin$^{c, r}$ structure
carrying a partially pure spinor field. We study various integrability
conditions of the almost CR structure in our spinorial setup, including the
classical integrability of a CR structure as well as those implied by
Killing-type conditions on the partially pure spinor field. In the codimension
one case, we develop a spinorial description of strictly pseudoconvex CR
manifolds, metric contact manifolds and Sasakian manifolds. Finally, we study
hypersurfaces of Kaehler manifolds via partially pure Spin$^c$ spinors.


title: Capacity of Clustered Distributed Storage

abstract:
  A new system model reflecting the clustered structure of distributed storage
is suggested to investigate bandwidth requirements for repairing failed storage
nodes. Large data centers with multiple racks/disks or local networks of
storage devices (e.g. sensor network) are good applications of the suggested
clustered model. In realistic scenarios involving clustered storage structures,
repairing storage nodes using intact nodes residing in other clusters is more
bandwidth-consuming than restoring nodes based on information from
intra-cluster nodes. Therefore, it is important to differentiate between
intra-cluster repair bandwidth and cross-cluster repair bandwidth in modeling
distributed storage. Capacity of the suggested model is obtained as a function
of fundamental resources of distributed storage systems, namely, storage
capacity, intra-cluster repair bandwidth and cross-cluster repair bandwidth.
Based on the capacity expression, feasible sets of required resources which
enable reliable storage are analyzed. It is shown that the cross-cluster
traffic can be minimized to zero (i.e., intra-cluster local repair becomes
possible) by allowing extra resources on storage capacity and intra-cluster
repair bandwidth, according to a law specified in a closed-form. Moreover,
trade-off between cross-cluster traffic and intra-cluster traffic is observed
for sufficiently large storage capacity.


title:
Ore and Chv\'atal-type Degree Conditions for Bootstrap Percolation from
  Small Sets

abstract:
  Bootstrap percolation is a deterministic cellular automaton in which vertices
of a graph~$G$ begin in one of two states, "dormant" or "active". Given a fixed
integer $r$, a dormant vertex becomes active if at any stage it has at least
$r$ active neighbors, and it remains active for the duration of the process.
Given an initial set of active vertices $A$, we say that $G$ $r$-percolates
(from $A$) if every vertex in $G$ becomes active after some number of steps.
Let $m(G,r)$ denote the minimum size of a set $A$ such that $G$ $r$-percolates
from $A$.
  Bootstrap percolation has been studied in a number of settings, and has
applications to both statistical physics and discrete epidemiology. Here, we
are concerned with degree-based density conditions that ensure $m(G,2)=2$. In
particular, we give an Ore-type degree sum result that states that if a graph
$G$ satisfies $\sigma_2(G)\ge n-2$, then either $m(G,2)=2$ or $G$ is in one of
a small number of classes of exceptional graphs. We also give a
Chv\'{a}tal-type degree condition: If $G$ is a graph with degree sequence
$d_1\le d_2\le\dots\le d_n$ such that $d_i \geq i+1$ or $d_{n-i} \geq n-i-1$
for all $1 \leq i < \frac{n}{2}$, then $m(G,2)=2$ or $G$ falls into one of
several specific exceptional classes of graphs. Both of these results are
inspired by, and extend, an Ore-type result in [D. Freund, M. Poloczek, and D.
Reichman, Contagious sets in dense graphs, to appear in European J. Combin.]


title:
Electric-field tunable spin waves in PMN-PT/NiFe heterostructure:
  experiment and micromagnetic simulations

abstract:
  We present a comprehensive theoretical and experimental study of
voltage-controlled standing spin waves resonance (SSWR) in PMN-PT/NiFe
multiferroic heterostructures patterned into microstrips. A spin-diode
technique was used to observe ferromagnetic resonance (FMR) mode and SSWR in
NiFe strip mechanically coupled with a piezoelectric substrate. Application of
an electric field to a PMNPT creates a strain in permalloy and thus shifts the
FMR and SSWR fields due to the magnetostriction effect. The experimental
results are compared with micromagnetic simulations and a good agreement
between them is found for dynamics of FMR and SSWR with and without electric
field. Moreover, micromagnetic simulations enable us to discuss the amplitude
and phase spatial distributions of FMR and SSWR modes, which are not directly
observable by means of spin diode detection technique.


title: S-matrix approach to the Z resonance

abstract:
  The proposed $e^+e^-$-collider FCC-ee aims at an unprecedented accuracy for
$e^+e^-$ collisions into fermion pairs at the $Z$ peak, based on about
$10^{13}$ events. The S-matrix approach to the $Z$ boson line shape allows the
model-independent quantitative description of the reaction $e^+e^- \to {\bar
f}f$ around the $Z$ peak in terms of few parameters, among them the mass $M_Z$
and width $\Gamma_Z$ of the $Z$-boson. While weak and strong corrections remain
"black", a careful theoretical description of the photonic interactions is
mandatory. I introduce the method and describe applications and the analysis
tool SMATASY/ZFITTER.


title:
Generalized projection retrieval of dispersion scans for ultrashort
  pulse characterization

abstract:
  We present a retrieval algorithm based on generalized projections for
ultrashort pulse characterization using dispersion scan (d-scan). The new
algorithm is tested on several simulated cases and in two different
experimental cases in the few-cycle regime. The proposed algorithm is much
faster and leads to a drastic reduction of retrieval times, but performs less
robust in the retrieval of noisy d-scan traces compared to the standard
algorithm.


title: Photonic multipartite entanglement conversion using nonlocal operations

abstract:
  We propose a simple setup for the conversion of multipartite entangled states
in a quantum network with restricted access. The scheme uses nonlocal
operations to enable the preparation of states that are inequivalent under
local operations and classical communication, but most importantly does not
require full access to the states. It is based on a flexible linear optical
conversion gate that uses photons, which are ideally suited for distributed
quantum computation and quantum communication in extended networks. In order to
show the basic working principles of the gate, we focus on converting a
four-qubit entangled cluster state to other locally inequivalent four-qubit
states, such as the GHZ and symmetric Dicke state. We also show how the gate
can be incorporated into extended graph state networks, and can be used to
generate variable entanglement and quantum correlations without entanglement
but nonvanishing quantum discord.


title:
Experimental characterization of a non-local convertor for quantum
  photonic networks

abstract:
  We experimentally characterize a quantum photonic gate that is capable of
converting multiqubit entangled states while acting only on two qubits. It is
an important tool in large quantum networks, where it can be used for re-wiring
of multipartite entangled states or for generating various entangled states
required for specific tasks. The gate can be also used to generate quantum
information processing resources, such as entanglement and discord. In our
experimental demonstration, we converted a linear four-qubit cluster state into
different entangled states, including GHZ and Dicke states. The high quality of
the experimental results show that the gate has the potential of being a
flexible component in distributed quantum photonic networks.


title: Schertz style class invariants for quartic CM fields

abstract:
  Values of Siegel modular functions for $\operatorname{Sp}_4 (\mathbb Z)$ in
CM period matrices generate certain unramified abelian class fields of quartic
CM fields, and they yield invariants of principally polarised abelian surfaces
with a known endomorphism ring. Smaller alternative class invariants, values of
modular functions for subgroups generating the same class fields, thus help to
speed up constructions in explicit class field theory and public-key
cryptography.
  Generalising results due to Schertz from elliptic curves to abelian surfaces
and from classical modular functions to Siegel modular functions, we show that
modular functions for the congruence subgroup $\Gamma^0 (N)$ yield class
invariants under some splitting conditions on~$N$. We show how to obtain all
Galois conjugates of a class invariant by evaluating the same modular function
in CM period matrices derived from an $N$-system. Such a system consists of
binary quadratic forms with coefficients in the real-quadratic subfield
satisfying certain congruence conditions modulo~$N$. We examine conditions
under which the minimal polynomial of a class invariant is real.
  Examples show that we may obtain class invariants that are much smaller than
in previous constructions.