title: The TANAMI Multiwavelength Program: Dynamic SEDs of Southern Blazars

abstract:
  Simultaneous broadband spectral and temporal studies of blazars are an
important tool for investigating active galactic nuclei (AGN) jet physics. We
study the spectral evolution between quiescent and flaring periods of 22
radio-loud AGN through multi-epoch, quasi-simultaneous broadband spectra. For
many of these sources these are the first broadband studies. We use a Bayesian
block analysis of \Fermi/LAT light curves in order to determine time ranges of
constant flux for constructing quasi-simultaneous SEDs. The shapes of the
resulting 81 SEDs are described by two logarithmic parabolas and a blackbody
spectrum where needed. For low states the peak frequencies and luminosities
agree well with the blazar sequence, higher luminosity implying lower peak
frequencies. This is not true for sources in a high state. The $\gamma$-ray
photon index in Fermi/LAT correlates with the synchrotron peak frequency in low
and intermediate states. No correlation is present in high states. The black
hole mass cannot be determined from the SEDs. Surprisingly, the thermal excess
often found in FSRQs at optical/UV wavelengths can be described by blackbody
emission and not an accretion disk spectrum. The "harder-when-brighter" trend,
typically seen in X-ray spectra of flaring blazars, is visible in the blazar
sequence. Our results for low and intermediate states, as well as the Compton
dominance, are in agreement with previous results. Black hole mass estimates
using the parameters from Bonchi (2013) are in agreement with some of the more
direct measurements. For two sources, estimates disagree by more than four
orders of magnitude, possibly due to boosting effects. The shapes of the
thermal excess seen predominantly in flat spectrum radio quasars are
inconsistent with a direct accretion disk origin.


title: Hochschild cohomology of ring objects in monoidal categories

abstract:
  We define the Hochschild complex and cohomology of a ring object in a
monoidal category enriched over abelian groups. We interpret the cohomology
groups and prove that the cohomology ring is graded-commutative.


title: Permutations and the combinatorics of gauge invariants for general N

abstract:
  Group algebras of permutations have proved highly useful in solving a number
of problems in large N gauge theories. I review the use of permutations in
classifying gauge invariants in one-matrix and multi-matrix models and
computing their correlators. These methods are also applicable to tensor models
and have revealed a link between tensor models and the counting of branched
covers. The key idea is to parametrize $U(N)$ gauge invariants using
permutations, subject to equivalences. Correlators are related to group
theoretic properties of these equivalence classes. Fourier transformation on
symmetric groups by means of representation theory offers nice bases of
functions on these equivalence classes. This has applications in AdS/CFT in
identifying CFT duals of giant gravitons and their perturbations. It has also
lead to general results on quiver gauge theory correlators, uncovering links to
two dimensional topological field theory and the combinatorics of trace
monoids.


title:
Relativistic locality and the action reaction principle predict de
  Broglie fields

abstract:
  The action reaction principle is violated in the standard formulation of
Quantum Mechanics, so that its phase space is incomplete. Moreover, projection
of state of a quantum system under indirect measurement, when there are
alternative virtual paths and one of them is discarded by negative detection
implies, according to the action reaction principle, a reaction on the
detector, although its macroscopic state does not change. If all interactions
are local, mediated by fields with relativistically causal evolution, some
system, different from the particle which follows another path, must locally
interact with the detector. Relativistic locality and the action reaction
principle predict the existence of de Broglie fields. A formulation of Quantum
Mechanics in extended Hilbert spaces is presented, in which kinematic and
dynamical representations of physical magnitudes are distinguished.


title: Stable finiteness properties of infinite discrete groups

abstract:
  Let $G$ be an infinite discrete group. A classifying space for proper actions
of $G$ is a proper $G$-CW-complex $X$ such that the fixed point sets $X^H$ are
contractible for all finite subgroups $H$ of $G$. In this paper we consider the
stable analogue of the classifying space for proper actions in the category of
proper $G$-spectra and study its finiteness properties. We investigate when $G$
admits a stable classifying space for proper actions that is finite or of
finite type and relate these conditions to the compactness of the sphere
spectrum in the homotopy category of proper $G$-spectra and to classical
finiteness properties of the Weyl groups of finite subgroups of $G$. Finally,
if the group $G$ is virtually torsion-free we also show that the smallest
possible dimension of a stable classifying space for proper actions coincides
with the virtual cohomological dimension of $G$, thus providing the first
geometric interpretation of the virtual cohomological dimension of a group.


title:
Cage rattling does not correlate with the local geometry in molecular
  liquids

abstract:
  Molecular-dynamics simulations of a liquid of short linear molecules have
been performed to investigate the correlation between the particle dynamics in
the cage of the neighbors and the local geometry. The latter is characterized
in terms of the size and the asphericity of the Voronoi polyhedra. The
correlation is found to be poor. In particular, in spite of the different
Voronoi volume around the end and the inner monomers of a molecule, all the
monomers exhibit coinciding displacement distribution when they are caged (as
well as at longer times during the structural relaxation). It is concluded that
the fast dynamics during the cage trapping is a non-local collective process
involving monomers beyond the nearest neighbours.


title: New explicit formulas for Faltings' delta-invariant

abstract:
  In this paper we give new explicit formulas for Faltings' $\delta$-invariant
in terms of integrals of theta functions, and we deduce an explicit lower bound
for $\delta$ only in terms of the genus and an explicit upper bound for the
Arakelov-Green function in terms of $\delta$. Furthermore, we give a canonical
extension of $\delta$ and the Zhang-Kawazumi invariant $\varphi$ to the moduli
space of indecomposable principally polarised complex abelian varieties.


title:
Solvable Leibniz algebras with naturally graded non-Lie $p$-filiform
  nilradicals

abstract:
  In this paper solvable Leibniz algebras with naturally graded non-Lie
$p$-filiform $(n-p\geq4)$ nilradical and with one-dimensional complemented
space of nilradical are described. Moreover, solvable Leibniz algebras with
abelian nilradical and extremal (minimal, maximal) dimensions of complemented
space nilradical are studied. The rigidity of solvable Leibniz algebras with
abelian nilradical and maximal dimension of its complemented space is proved.


title:
Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM
  Geometries

abstract:
  We calculate the holographic entanglement entropy (HEE) of the $\mathbb{Z}_k$
orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua of
the mass-deformed ABJM theory with Chern-Simons level $k$. By solving the
partial differential equations analytically, we obtain the HEEs for all LLM
solutions with arbitrary M2 charge and $k$ up to $\mu_0^2$-order where $\mu_0$
is the mass parameter. The renormalized entanglement entropies are all
monotonically decreasing near the UV fixed point in accordance with the
$F$-theorem. Except the multiplication factor and to all orders in $\mu_0$,
they are independent of the overall scaling of Young diagrams which
characterize LLM geometries. Therefore we can classify the HEEs of LLM
geometries with $\mathbb{Z}_k$ orbifold in terms of the shape of Young diagrams
modulo overall size. HEE of each family is a pure number independent of the 't
Hooft coupling constant except the overall multiplication factor. We extend our
analysis to obtain HEE analytically to $\mu_0^4$-order for the symmetric
droplet case.


title:
Out-of-plane spin polarization of edge currents in Chern insulator with
  Rashba spin-orbit interaction

abstract:
  We investigate the change in the non-zero Chern number and out-of-plane spin
polarization of the edge currents in a honeycomb lattice with the
Haldane-Rashba interaction. This interaction breaks the time-reversal symmetry
due to the Haldane phase caused by a current loop at site-I and -II atoms and
also accounts for the Rashba-type spin-orbit interaction. The Rashba spin-orbit
interaction increases the number of Dirac points and the band-touching
phenomenon can be generated by tuning the on-site potential in the non-zero
Haldane phase. By using the Pontryagin winding number and numerical Berry
curvature methods, we find that the Chern number pattern is $\{+2, -1, 0\}$ and
$\{-2, +1, 0\}$ for the positive and negative Haldane phase, respectively. A
non-zero Chern number is called a Chern-insulating phase. We discovered that
changes in both the Haldane phase and on-site potential leads to a change in
the orientation of the bulk spin polarization of site-I and site-II atoms.
Interestingly, in a ribbon with a zigzag edge, which naturally has site-I atoms
at one outer edge and site-II atoms at the opposite outer edge, the spin
polarization of the edge states approximately obeys the properties of bulk spin
polarization regardless of the change in the Chern number. In addition, even
when the Chern number changes from $+2$ to $-1$ (or $-2$ to $+1$), by tuning
the strength of the on-site potential, the sign of the spin polarization of the
edge states persists. This approximate bulk-edge correspondence of the spin
polarization in the Haldane-Rashba system would play an important role in
spintronics, because it enables us to control the orientation of the spin
polarization in a single Chern-insulating phase.


title:
Calculation of the static and dynamical correlation energy of
  pseudo-one-dimensional beryllium systems via a many-body expansion

abstract:
  Low-dimensional beryllium systems constitute interesting case studies for the
test of correlation methods because of the importance of both static and
dynamical correlation in the formation of the bond. Aiming to describe the
whole dissociation curve of extended Be systems we chose to apply the method of
increments (MoI) in its multireference (MR) formalism. However, in order to do
so an insight into the wave function was necessary. Therefore we started by
focusing on the description of small Be chains via standard quantum chemical
methods and gave a brief analysis of the main characteristics of their wave
functions. We then applied the MoI to larger beryllium systems, starting from
the Be6 ring. First, the complete active space formalism (CAS-MoI) was employed
and the results were used as reference for local MR calculations of the whole
dissociation curve. Despite this approach is well established for the
calculation of systems with limited multireference character, its application
to the description of whole dissociation curves still requires further testing.
After discussing the role of the basis set, the method was finally applied to
larger rings and extrapolated to an infinite chain.


title:
Propagation characteristics of dust$-$acoustic waves in presence of a
  floating cylindrical object in the DC discharge plasma

abstract:
  The experimental observation of the self$-$excited dust acoustic waves (DAWs)
and its propagation characteristics in the absence and presence of a floating
cylindrical object are investigated. The experiments are carried out in a
direct current (DC) glow discharge dusty plasma in the background of argon gas.
Dust particles are found levitated at the interface of plasma and cathode
sheath region. The DAWs are spontaneously excited in the dust medium and found
to propagate in the direction of ion drift (along the gravity) above a
threshold discharge current at lower pressure. The excitation of such low
frequency wave is a result of the ion--dust streaming instability in the dust
cloud. The characteristics of the propagating dust acoustic wave get modified
in presence of a floating cylindrical object of radius larger than the dust
Debye length. Instead of propagating in the vertical direction, the DAWs are
found to propagate obliquely in presence of the floating object (kept either
vertically or horizontally). In addition, horizontally aligned floating object
gives rise to form a wave structure in the cone shaped dust cloud in the sheath
region. The change in the propagation characteristics of DAWs are explained on
the basis of modified potential (or electric field) distribution, which is a
consequence of coupling of sheaths formed around the cylindrical object and the
cathode.


title:
A primitive associated to the Cantor-Bendixson derivative on the real
  line

abstract:
  We consider the class of compact countable subsets of the real numbers
$\mathbb{R}$. By using an appropriate partition, up to homeomorphism, of this
class we give a detailed proof of a result shown by S. Mazurkiewicz and W.
Sierpinski related to the cardinality of this partition. Furthermore, for any
compact subset of $\mathbb{R}$, we show the existence of a "primitive" related
to its Cantor-Bendixson derivative.


title: Fast Simulation of Probabilistic Boolean Networks (Technical Report)

abstract:
  Probabilistic Boolean networks (PBNs) is an important mathematical framework
widely used for modelling and analysing biological systems. PBNs are suited for
modelling large biological systems, which more and more often arise in systems
biology. However, the large system size poses a~significant challenge to the
analysis of PBNs, in particular, to the crucial analysis of their steady-state
behaviour. Numerical methods for performing steady-state analyses suffer from
the state-space explosion problem, which makes the utilisation of statistical
methods the only viable approach. However, such methods require long
simulations of PBNs, rendering the simulation speed a crucial efficiency
factor. For large PBNs and high estimation precision requirements, a slow
simulation speed becomes an obstacle. In this paper, we propose a
structure-based method for fast simulation of PBNs. This method first performs
a network reduction operation and then divides nodes into groups for parallel
simulation. Experimental results show that our method can lead to an
approximately 10 times speedup for computing steady-state probabilities of a
real-life biological network.


title: Improving Image Captioning by Concept-based Sentence Reranking

abstract:
  This paper describes our winning entry in the ImageCLEF 2015 image sentence
generation task. We improve Google's CNN-LSTM model by introducing
concept-based sentence reranking, a data-driven approach which exploits the
large amounts of concept-level annotations on Flickr. Different from previous
usage of concept detection that is tailored to specific image captioning
models, the propose approach reranks predicted sentences in terms of their
matches with detected concepts, essentially treating the underlying model as a
black box. This property makes the approach applicable to a number of existing
solutions. We also experiment with fine tuning on the deep language model,
which improves the performance further. Scoring METEOR of 0.1875 on the
ImageCLEF 2015 test set, our system outperforms the runner-up (METEOR of
0.1687) with a clear margin.


title:
Convergence in H\"older norms with applications to Monte Carlo methods
  in infinite dimensions

abstract:
  We show that if a sequence of piecewise affine linear processes converges in
the strong sense with a positive rate to a stochastic process which is strongly
H\"older continuous in time, then this sequence converges in the strong sense
even with respect to much stronger H\"older norms and the convergence rate is
essentially reduced by the H\"older exponent. Our first application hereof
establishes pathwise convergence rates for spectral Galerkin approximations of
stochastic partial differential equations. Our second application derives
strong convergence rates of multilevel Monte Carlo approximations of
expectations of Banach space valued stochastic processes.


title: Conformal Janus on Euclidean Sphere

abstract:
  We interpret Janus as an interface in a conformal field theory and study its
properties. The Janus is created by an exactly marginal operator and we study
its effect on the interface conformal field theory on the Janus. We do this by
utilizing the AdS/CFT correspondence. We compute the interface free energy both
from leading correction to the Euclidean action in the dual gravity description
and from conformal perturbation theory in the conformal field theory. We find
that the two results agree each other and that the interface free energy scales
precisely as expected from the conformal invariance of the Janus interface.


title: Three types of nonlinear resonances

abstract:
  We analyse different types of nonlinear resonances in a weakly damped Duffing
oscillator using bifurcation theory techniques. In addition to (i) odd
subharmonic resonances found on the primary branch of symmetric periodic
solutions with the forcing frequency and (ii) even subharmonic resonances due
to symmetry-broken periodic solutions that bifurcate off the primary branch and
also oscillate at the forcing frequency, we uncover (iii) novel resonance type
due to isolas of periodic solutions that are not connected to the primary
branch. These occur between odd and even resonances, oscillate at a fraction of
the forcing frequency, and give rise to a complicated resonance `curve' with
disconnected elements and high degree of multistability. We use bifurcation
continuation to compute resonance tongues in the plane of the forcing frequency
vs. the forcing amplitude for different but fixed values of the damping rate.
In this way, we demonstrate that identified here isolated resonances explain
the intriguing structure of "patchy tongues" observed for week damping and link
it to a seemingly unrelated phenomenon of "bifurcation superstructure"
described for moderate damping.


title:
Are monochromatic Pythagorean triples unavoidable under morphic
  colorings ?

abstract:
  A Pythagorean triple is a triple of positive integers a, b, c $\in$ N${}^{+}$
satisfying a${}^2$ + b${}^2$ = c${}^2$. Is it true that, for any finite
coloring of N${}^{+}$ , at least one Pythagorean triple must be monochromatic?
In other words, is the Dio-phantine equation X${}^2$+ Y${}^2$ = Z${}^2$
regular? This problem, recently solved for 2-colorings by massive SAT
computations [Heule et al., 2016], remains widely open for k-colorings with k
$\ge$ 3. In this paper, we introduce morphic colorings of N + , which are
special colorings in finite groups with partly multiplicative properties. We
show that, for many morphic colorings in 2 and 3 colors, monochromatic
Pythagorean triples are unavoidable in rather small integer intervals.


title:
A Computational Note on the Application of the Supplemented EM Algorithm
  to Item Response Models

abstract:
  The EM algorithm is a method for finding the maximum likelihood estimate of a
model in the presence of missing data. Unfortunately, EM does not produce a
parameter covariance matrix for standard errors. Supplemented EM (SEM; Meng &
Rubin, 1991) is one method for obtaining the parameter covariance matrix. SEM
is implemented in both open-source (e.g., Chalmers, 2012; Pritikin, Hunter, &
Boker, 2015) and commercial (e.g., Cai, Thissen, & du Toit, 2011) item response
model estimation software. However, the original formulation of SEM did not
adequately account for the limitations of IEEE 754 floating-point. Agile-SEM, a
novel refinement of SEM, is proposed and compared against the original
algorithm and a recent refinement (Tian, Cai, Thissen, & Xin, 2013) in a
variety of item response model simulation studies. By controlling for the
numerical noise intensity on a per-parameter basis, Agile-SEM demonstrated the
best convergence properties, accuracy, and efficiency while, at the same time,
requiring fewer tuning parameters. Complete source code is made freely
available. The potential generalization of Agile-SEM to other EM application
besides item response models is left as future work.


title:
Including atomic vibrations in XANES calculations:
  polarization-dependent damping of the fine structure at the Cu K edge of
  (creat)$_{2}$CuCl$_{4}$

abstract:
  Atomic vibrations are usually not taken into account when analyzing x-ray
absorption near edge structure (XANES) spectra. One of the reasons is that
including the vibrations in a formally exact way is quite complicated while the
effect of vibrations is supposed to be small in the XANES region. By analyzing
polarized Cu K edge x-ray absorption spectra of creatinium tetrachlorocuprate
[(creat)$_{2}$CuCl$_{4}$], we demonstrate that a technically simple method,
consisting in calculating the XANES via the same formula as for static systems
but with a modified free-electron propagator which accounts for fluctuations of
interatomic distances, may substantially help in understanding XANES of some
layered systems. In particular we show that the difference in the damping of
the x-ray absorption fine structure oscillations for different polarisations of
the incoming x-rays cannot be reproduced by calculations which rely on a static
lattice but it can be described if atomic vibrations are accounted for in such
a way that individual creatinium and CuCl$_{4}$ molecular blocks are treated as
semi-rigid entities while the mutual positions of these blocks are subject to
large mean relative displacements.


title: Noether gauge symmetry classes for pp-wave spacetimes

abstract:
  The Noether gauge symmetries of geodesic Lagrangian for the pp-wave
spacetimes are determined in each of the Noether gauge symmetry classes of the
pp-wave spacetimes. It is shown that a type N pp-wave spacetime can admit at
most three Noether gauge symmetry, and furthermore the number of Noether gauge
symmetries turn out to be four, five, six, seven and eight. We found that all
conformally flat plane wave spacetimes admit the maximal, i.e. ten, Noether
gauge symmetry. Also it is found that if the pp-wave spacetime is
non-conformally flat plane wave, then the number of Noether gauge symmetry is
nine or ten. By means of the obtained Noether constants the search of the exact
solutions of the geodesic equations for the pp-wave spacetimes is considered
and we found new exact solutions of the geodesic equations in some special
Noether gauge symmetry classes.


title: On the Mathematics of Data Centre Network Topologies

abstract:
  The theory of combinatorial designs has recently been used in order to build
switch-centric data centre networks incorporating a large number of servers, in
comparison with the popular Fat-Tree data centre network. The construction
employed, called the 3-step method, revolves around an appropriately chosen
(but relatively small) bipartite graph and a transversal design. In this paper,
we clarify and extend these recent results. In particular, we prove the
following path diversity results: in a one-to-one context, we prove that in
these data centre networks there are pairwise link-disjoint paths joining all
the servers adjacent to some switch with all the servers adjacent to any other
switch so that we retain control of the path lengths (these results are optimal
in terms of the numbers of paths constructed and we prove that we have a wide
choice of bipartite graph and transversal design to which we can apply the
3-step method); and in a one-to-many context, we prove that there are pairwise
link-disjoint paths from all the servers adjacent to some switch to any
identically-sized collection of target servers where these target servers need
not be adjacent to the same switch (again, we keep control of the path
lengths). Our constructions and analysis are undertaken on bipartite graphs
with the applications to data centre networks being easily derived. Our results
strengthen the overall competitiveness of data centre networks constructed
using the 3-step method, in comparison with Fat-Tree data centre networks, and,
more generally, show the potential of results and methodologies from
combinatorics to data centre network design.


title:
New exact solutions of Bianchi I, Bianchi III and Kantowski-Sachs
  spacetimes in scalar-coupled gravity theories via Noether gauge symmetries

abstract:
  The Noether symmetry approach is useful tool to restrict the arbitrariness in
a gravity theory when the equations of motion are underdetermined due to the
high number of functions to be determined in the ansatz. We consider two
scalar-coupled theories of gravity, one motivated by induced gravity, the other
more standard; in Bianchi I, Bianchi III and Kantowski-Sachs cosmological
models. For these models, we present a full set of Noether gauge symmetries,
which are more general than those obtained by the strict Noether symmetry
approach in our recent work. Some exact solutions are derived using the first
integrals corresponding to the obtained Noether gauge symmetries.


title:
Individual electron and hole localization in submonolayer InN quantum
  sheets embedded in GaN

abstract:
  We investigate sub-monolayer InN quantum sheets embedded in GaN(0001) by
temperature-dependent photoluminescence spectroscopy under both continuous-wave
and pulsed excitation. Both the peak energy and the linewidth of the emission
band associated with the quantum sheets exhibit an anomalous dependence on
temperature indicative of carrier localization. Photoluminescence transients
reveal a power law decay at low temperatures reflecting that the recombining
electrons and holes occupy spatially separate, individual potential minima
reminiscent of conventional (In,Ga)N(0001) quantum wells exhibiting the
characteristic disorder of a random alloy. At elevated temperatures, carrier
delocalization sets in and is accompanied by a thermally activated quenching of
the emission. We ascribe the strong nonradiative recombination to extended
states in the GaN barriers and confirm our assumption by a simple rate-equation
model.


title:
Comparison of unitary duals of Drinfeld doubles and complex semisimple
  Lie groups

abstract:
  We determine a substantial part of the unitary representation theory of the
Drinfeld double of a $q$-deformation of a compact Lie group in terms of the
complexification of the compact Lie group. Using this, we show that the dual of
every $q$-deformation of a higher rank compact Lie group has central property
${\rm (T)}$. We also determine the unitary dual of $SL_q(n,\mathbb{C})$.


title:
Weak links between fast mobility and local structure in molecular and
  atomic liquids

abstract:
  We investigate by Molecular-Dynamics simulations the fast mobility - the
rattling amplitude of the particles temporarily trapped by the cage of the
neighbors - in mildly supercooled states of dense molecular (linear trimers)
and atomic (binary mixtures) liquids. The mixture particles interact by the
Lennard-Jones potential. The non-bonded particles of the molecular system are
coupled by the more general Mie potential with variable We investigate by
Molecular-Dynamics simulations the fast mobility - the rattling amplitude of
the particles temporarily trapped by the cage of the neighbors - in mildly
supercooled states of dense molecular (linear trimers) and atomic (binary
mixtures) liquids. The mixture particles interact by the Lennard-Jones
potential. The non-bonded particles of the molecular system are coupled by the
more general Mie potential with variable repulsive and attractive exponents in
a range which is characteristic of small $n$-alkanes and $n$-alcohols. Possible
links between the fast mobility and the geometry of the cage (size and shape)
are searched. The correlations on a per-particle basis are rather weak.
Instead, if one groups either the particles in fast-mobility subsets or the
cages in geometric subsets, the increase of the fast mobility with both the
size and the asphericity of the cage is revealed. The observed correlations are
weak and differ in states with equal relaxation time. Local forces between a
tagged particle and the first-neighbor shell do not correlate with the fast
mobility in the molecular liquid. It is concluded that the cage geometry alone
is unable to provide a microscopic interpretation of the known, universal link
between the fast mobility and the slow structural relaxation. We suggest that
the particle fast dynamics is affected by regions beyond the first neighbours,
thus supporting the presence of collective, extended fast modes.


title: The Local Fractional Bootstrap

abstract:
  We introduce a bootstrap procedure for high-frequency statistics of Brownian
semistationary processes. More specifically, we focus on a hypothesis test on
the roughness of sample paths of Brownian semistationary processes, which uses
an estimator based on a ratio of realized power variations. Our new resampling
method, the local fractional bootstrap, relies on simulating an auxiliary
fractional Brownian motion that mimics the fine properties of high frequency
differences of the Brownian semistationary process under the null hypothesis.
We prove the first order validity of the bootstrap method and in simulations we
observe that the bootstrap-based hypothesis test provides considerable
finite-sample improvements over an existing test that is based on a central
limit theorem. This is important when studying the roughness properties of time
series data; we illustrate this by applying the bootstrap method to two
empirical data sets: we assess the roughness of a time series of high-frequency
asset prices and we test the validity of Kolmogorov's scaling law in
atmospheric turbulence data.


title: Purification of Gaussian maximally mixed states

abstract:
  We find that the purifications of several Gaussian maximally mixed states
(GMMSs) correspond to some Gaussian maximally entangled states (GMESs) in the
continuous-variable regime. Here, we consider a two-mode squeezed vacuum (TMSV)
state as a purification of the thermal state and construct a general formalism
of the Gaussian purification process. Moreover, we introduce other kind of
GMESs via the process. All of our purified states of the GMMSs exhibit Gaussian
profiles; thus, the states show maximal quantum entanglement in the Gaussian
regime.


title: A study of second order semilinear elliptic PDE involving measures

abstract:
  The objective of this article is to study the boundary value problem for the
general semilinear elliptic equation of second order involving $L^1$ functions
or Radon measures with finite total variation. The study investigates the
existence and uniqueness of `{\it very weak}' solutions to the boundary value
problem for a given $L^1$ function. However, a `{\it very weak}' solution need
not exist when an $L^1$ function is replaced with a measure due to which the
corresponding reduced limits has been found for which the problem admits a
solution in a `{\it very weak}' sense.


title:
Thermo and photoacoustic Tomography with variable speed and planar
  detectors

abstract:
  We analyze the mathematical model of multiwave tomography with a variable
speed with integrating measurements on planes tangent to a sphere surrounding
the source. We prove sharp uniqueness and stability estimates with full and
partial data and propose a time reversal algorithm which recovers the visible
singularities.


title:
Proposals for gain cascading in single-pass of a free-electron laser
  oscillator

abstract:
  The low-gain free-electron laser (FEL) oscillators are cutting-edge tools to
produce fully coherent radiation in the spectral region from terahertz to
vacuum ultraviolet, and potentially in hard X-ray. In this paper, it is
proposed to utilize an FEL oscillator with multi-stage undulators to enable
gain cascading in a single-pass, making it possible to achieve shorter single
pulse lengths, higher peak power, and even higher pulse energy than classical
FEL oscillator. Theoretical analysis and numerical simulations in the infrared
and hard X-ray regions show that our proposal is effective.


title:
Queueing Stability and CSI Probing of a TDD Wireless Network with
  Interference Alignment

abstract:
  This paper characterizes the performance of interference alignment (IA)
technique taking into account the dynamic traffic pattern and the
probing/feedback cost. We consider a time-division duplex (TDD) system where
transmitters acquire their channel state information (CSI) by decoding the
pilot sequences sent by the receivers. Since global CSI knowledge is required
for IA, the transmitters have also to exchange their estimated CSIs over a
backhaul of limited capacity (i.e. imperfect case). Under this setting, we
characterize in this paper the stability region of the system under both the
imperfect and perfect (i.e. unlimited backhaul) cases, then we examine the gap
between these two resulting regions. Further, under each case, we provide a
centralized probing algorithm (policy) that achieves the max stability region.
These stability regions and scheduling policies are given for the symmetric
system where all the path loss coefficients are equal to each other, as well as
for the general system. For the symmetric system, we compare the stability
region of IA with the one achieved by a time division multiple access (TDMA)
system where each transmitter applies a simple singular value decomposition
technique (SVD). We then propose a scheduling policy that consists in switching
between these two techniques, leading the system, under some conditions, to
achieve a bigger stability region. Under the general system, the adopted
scheduling policy is of a high computational complexity for moderate number of
pairs, consequently we propose an approximate policy that has a reduced
complexity but that achieves only a fraction of the system stability region. A
characterization of this fraction is provided.


title: Laser noise imposed limitations of ensemble quantum metrology

abstract:
  Laser noise is a decisive limiting factor in high precision spectroscopy of
narrow lines using atomic ensembles. In an idealized Doppler and differential
light shift free magic wavelength lattice configuration, it remains as one
distinct principal limitation beyond collective atomic decay. In this work we
study the limitations originating from laser phase and amplitude noise in an
idealized Ramsey pulse interrogation scheme with uncorrelated atoms. Phase
noise leads to a saturation of the frequency sensitivity with increasing atom
number while amplitude noise implies a scaling $1/\sqrt{\tau}$ with $\tau$
being the interrogation time. We employ a technique using decoherence free
subspaces first introduced in New J. Phys. \textbf{14}, 043011 (2012) which can
restore the scaling with the square root of the inverse particle number
$1/\sqrt{N}$. Similar results and improvements are obtained numerically for a
Rabi spectroscopy setup.


title:
Large Area Fabrication of Semiconducting Phosphorene by Langmuir
  Blodgett Assembly

abstract:
  Although a considerable number of solvent based methodologies have been
developed for exfoliating black phosphorus, so far there are no reports on
controlled organization of these exfoliated nanosheets on substrates. Here, for
the first time to the best of our knowledge, a mixture of
N-Methyl-2-pyrrolidone (NMP) and deoxygenated water is employed as a subphase
in Langmuir Blodgett (LB) trough for assembling the nanosheets followed by
their deposition on substrates and studied its field effect transistor (FET)
characteristics. Electron microscopy reveals the presence of densely aligned,
crystalline, ultra-thin sheets of pristine phosphorene having lateral
dimensions larger than hundred of microns. Furthermore, these assembled
nanosheets retain their electronic properties and show a high current
modulation of 10^4 at room temperature in FET devices. The proposed technique
provides semiconducting phosphorene thin films that are amenable for large area
applications.


title: A Fully Distributed Approach for Plug-in Electric Vehicle Charging

abstract:
  Plug-in electric vehicles (PEVs) are considered as flexible loads since their
charging schedules can be shifted over the course of a day without impacting
drivers mobility. This property can be exploited to reduce charging costs and
adverse network impacts. The increasing number of PEVs makes the use of
distributed charging coordinating strategies preferable to centralized ones. In
this paper, we propose an agent-based method which enables a fully distributed
solution of the PEVs Coordinated Charging (PEV-CC) problem. This problem aims
at coordinating the charging schedules of a fleet of PEVs to minimize costs of
serving demand subject to individual PEV constraints originating from battery
limitations and charging infrastructure characteristics. In our proposed
approach, each PEVs charging station is considered as an agent that is equipped
with communication and computation capabilities. Our multiagent approach is an
iterative procedure which finds a distributed solution for the first order
optimality conditions of the underlying optimization problem through local
computations and limited information exchange with neighboring agents. In
particular, the updates for each agent incorporate local information such as
the Lagrange multipliers, as well as enforcing the local PEVs constraints as
local innovation terms. Finally, the performance of our proposed algorithm is
evaluated on a fleet of 100 PEVs as a test case, and the results are compared
with the centralized solution of the PEV-CC problem.


title:
Single top and Higgs associated production in the minimal $B-L$ model at
  the LHC

abstract:
  In this paper, we study the single top production in association with a Higgs
boson in the $U(1)_{B-L}$ extension of the Standard Model at the LHC. We
calculate the production cross sections of the processes $pp\rightarrow
thX(h=H_{1},H_{2};X=j,b,W)$ in this model. Then we further study the
observability of the process $pp\rightarrow tH_{2}j$ through $pp\rightarrow
t(\rightarrow q\bar{q'} b)H_{2}(\rightarrow 4\ell)j$. We find that the
systematic significance can be improved obviously, but it is still challenging
for the 14 TeV LHC with high-luminosity to detect this signal.


title:
Short-Time Elasticity of Polymer Melts: Tobolsky Conjecture and
  Heterogeneous Local Stiffness

abstract:
  An extended Molecular-Dynamics study of the short-time "glassy" elasticity
exhibited by a polymer melt of linear fully-flexible chains above the glass
transition is presented. The focus is on the infinite-frequency shear modulus
$G_\infty$ manifested in the picosecond time scale and the relaxed plateau
$G_p$ reached at later times and terminated by the structural relaxation. The
local stiffness of the interactions with the first neighbours of each monomer
exhibits marked distribution with average value given by $G_\infty$. In
particular, the neighbourhood of the end monomers of each chain are softer than
the inner monomers, so that $G_\infty$ increases with the chain length. $G_p$
is not affected by the chain length and is largely set by the non-bonding
interactions, thus confirming for polymer melts the conjecture formulated by
Tobolsky for glassy polymers.


title:
The limiting absorption principle for the discrete Wigner-von Neumann
  operator

abstract:
  We apply weighted Mourre commutator theory to prove the limiting absorption
principle for the discrete Schr{\"o}dinger operator perturbed by the sum of a
Wigner-von Neumann and long-range type potential. In particular, this implies a
new result concerning the absolutely continuous spectrum for these operators
even for the one-dimensional operator. We show that methods of classical Mourre
theory based on differential inequalities and on the generator of dilation
cannot apply to the mentionned Schr{\"o}dinger operators.


title:
Rate of convergence to equilibrium of fractional driven stochastic
  differential equations with rough multiplicative noise

abstract:
  We investigate the problem of the rate of convergence to equilibrium for
ergodic stochastic differential equations driven by fractional Brownian motion
with Hurst parameter $H\in (1/3,1)$ and multiplicative noise component
$\sigma$. When $\sigma$ is constant and for every $H\in (0,1)$, it was proved
in [19] that, under some mean-reverting assumptions, such a process converges
to its equilibrium at a rate of order $t^{-\alpha}$ where $\alpha \in (0,1)$
(depending on $H$). In [11], this result has been extended to the
multiplicative case when $H\textgreater{}1/2$. In this paper, we obtain these
types of results in the rough setting $H\in (1/3,1/2)$. Once again, we retrieve
the rate orders of the additive setting. Our methods also extend the
multiplicative results of [11] by deleting the gradient assumption on the noise
coefficient $\sigma$. The main theorems include some existence and uniqueness
results for the invariant distribution.


title: Killing superalgebras for Lorentzian four-manifolds

abstract:
  We determine the Killing superalgebras underpinning field theories with rigid
unextended supersymmetry on Lorentzian four-manifolds by re-interpreting them
as filtered deformations of $\mathbb{Z}$-graded subalgebras with maximum odd
dimension of the $N{=}1$ Poincar\'e superalgebra in four dimensions. Part of
this calculation involves computing a Spencer cohomology group which, by
analogy with a similar result in eleven dimensions, prescribes a notion of
Killing spinor, which we identify with the defining condition for bosonic
supersymmetric backgrounds of minimal off-shell supergravity in four
dimensions. We prove that such Killing spinors always generate a Lie
superalgebra, and that this Lie superalgebra is a filtered deformation of a
subalgebra of the $N{=}1$ Poincar\'e superalgebra in four dimensions. Demanding
the flatness of the connection defining the Killing spinors, we obtain
equations satisfied by the maximally supersymmetric backgrounds. We solve these
equations, arriving at the classification of maximally supersymmetric
backgrounds whose associated Killing superalgebras are precisely the filtered
deformations we classify in this paper.


title:
Truncated correlation hierarchy schemes for driven-dissipative multimode
  quantum systems

abstract:
  We present a method to describe driven-dissipative multi-mode systems by
considering a truncated hierarchy of equations for the correlation functions.
We consider two hierarchy truncation schemes with a global cutoff on the
correlation order, which is the sum of the exponents of the operators involved
in the correlation functions: a 'hard' cutoff corresponding to an expansion
around the vacuum, which applies to a regime where the number of excitations
per site is small; a 'soft' cutoff which corresponds to an expansion around
coherent states, which can be applied for large excitation numbers per site.
This approach is applied to describe the bunching-antibunching transition in
the driven-dissipative Bose-Hubbard model for photonic systems. The results
have been successfully benchmarked by comparison with calculations based on the
corner-space renormalization method in 1D and 2D systems. The regime of
validity and strengths of the present truncation methods are critically
discussed.


title:
A multidimensional birkhoff theorem for time-dependent tonelli
  hamiltonians

abstract:
  Let $M$ be a closed and connected manifold, $H:T^*M\times \mathbb{R} /
\mathbb{Z} \to \mathbb{R}$ a Tonelli $1$-periodic Hamiltonian and $\mathcal{L}
\subset T^*M$ a Lagrangian submanifold Hamiltonianly isotopic to the zero
section. We prove that if $\mathcal{L}$ is invariant by the time-one map of
$H$, then $\mathcal{L}$ is a graph over $M$. An interesting consequence in the
autonomous case is that in this case, $\mathcal{L}$ is invariant by all the
time $t$ maps of the Hamiltonian flow of $H$.


title: Hyper-Kamiokande: Towards a measurement of CP violation in lepton sector

abstract:
  We present the latest Hyper-Kamiokande sensitivity study showing that, with a
total exposure of 13 MW $\times 10^{7}$ seconds integrated beam power, the CP
phase - $\delta_{CP}$ - can be determined better than 21 degrees for all
possible values of $\delta_{CP}$ and CP violation can be established with a
significance of more than 3$\sigma$ (5$\sigma$) for 78% (62%) of the
$\delta_{CP}$ parameter space.


title:
Conjugated liquid layers driven by the short-wavelength
  B\'enard-Marangoni instability: experiment and numerical simulation

abstract:
  The coupled dynamics of two conjugated liquid layers of disparate
thicknesses, which coat a solid substrate and are subjected to a transverse
temperature gradient, is investigated. The upper liquid layer evolves under the
short-wavelength (SW) B\'enard-Marangoni (BM) instability, whereas the lower,
much thinner film undergoes a shear-driven long-wavelength deformation.
Although the lubricating film should reduce the viscous stresses acting on the
up to one hundred times thicker upper layer by only 10%, it is found that the
critical Marangoni number of marginal stability may be as low as if a
stress-free boundary condition were applied at the bottom of the upper layer,
i.e. much lower than the classical value of 79.6 known for a single film.
Furthermore, it is experimentally verified that the deformation of the
liquid-liquid interface, albeit small, has a non-negligible effect on the
temperature distribution along the liquid-gas interface of the upper layer.
This stabilizes the hexagonal pattern symmetry towards external disturbances
and indicates a two-way coupling of the different layers. The experiments also
demonstrate how convection patterns formed in a liquid film can be used to
pattern a second conjugated film. The experimental findings are verified by a
numerical model of the coupled layers.


title:
Nanoconfined circular and linear DNA - equilibrium conformations and
  unfolding kinetics

abstract:
  Studies of circular DNA confined to nanofluidic channels are relevant both
from a fundamental polymer-physics perspective and due to the importance of
circular DNA molecules in vivo. We here observe the unfolding of DNA from the
circular to linear configuration as a light-induced double strand break occurs,
characterize the dynamics, and compare the equilibrium conformational
statistics of linear and circular configurations. This is important because it
allows us to determine to which extent existing statistical theories describe
the extension of confined circular DNA. We find that the ratio of the
extensions of confined linear and circular DNA configurations increases as the
buffer concentration decreases. The experimental results fall between
theoretical predictions for the extended de Gennes regime at weaker confinement
and the Odijk regime at stronger confinement. We show that it is possible to
directly distinguish between circular and linear DNA molecules by measuring the
emission intensity from the DNA. Finally, we determine the rate of unfolding
and show that this rate is larger for more confined DNA, possibly reflecting
the corresponding larger difference in entropy between the circular and linear
configurations.


title:
Determinantal sets, singularities and application to optimal control in
  medical imagery

abstract:
  Control theory has recently been involved in the field of nuclear magnetic
resonance imagery. The goal is to control the magnetic field optimally in order
to improve the contrast between two biological matters on the pictures.
Geometric optimal control leads us here to analyze mero-morphic vector fields
depending upon physical parameters , and having their singularities defined by
a deter-minantal variety. The involved matrix has polynomial entries with
respect to both the state variables and the parameters. Taking into account the
physical constraints of the problem, one needs to classify, with respect to the
parameters, the number of real singularities lying in some prescribed
semi-algebraic set. We develop a dedicated algorithm for real root
classification of the singularities of the rank defects of a polynomial matrix,
cut with a given semi-algebraic set. The algorithm works under some genericity
assumptions which are easy to check. These assumptions are not so restrictive
and are satisfied in the aforementioned application. As more general strategies
for real root classification do, our algorithm needs to compute the critical
loci of some maps, intersections with the boundary of the semi-algebraic
domain, etc. In order to compute these objects, the determinantal structure is
exploited through a stratifi-cation by the rank of the polynomial matrix. This
speeds up the computations by a factor 100. Furthermore, our implementation is
able to solve the application in medical imagery, which was out of reach of
more general algorithms for real root classification. For instance,
computational results show that the contrast problem where one of the matters
is water is partitioned into three distinct classes.


title:
Modulation equations approach for solving vortex and radiation in
  nonlinear Schrodinger equation

abstract:
  We apply the modulation theory to study the vortex and radiation solution in
the two-dimensional nonlinear Schr\"{o}dinger equation. The full modulation
equations which describe the dynamics of the vortex and radiation separately
are derived. A general algorithm is proposed to efficiently and accurately find
vortices with different values of energy and spin index. The modulation
equations are solved by accurate numerical method. Numerical tests and
simulations of scattering are given.


title:
The Role of communication and network technologies in vehicular
  applications

abstract:
  Vehicular networks attract a lot of attention in the research world. Novel
vehicular applications need a suitable communication channel in order to extend
in-vehicle capabilities and, be aware about surrounding events. However, these
networks present some proprieties, such as high mobility or specific
topologies. These properties affect the performances of applications and more
effort should be directed to identify the final necessities of the network. Few
works deal with application requirements which should be considered when
vehicular services are designed. In this chapter this gap is filled, proposing
an analysis of application requirements which considers available technologies
for physical/MAC and network layers. This study contains key factors which must
be taken into account not only at the designing stage of the vehicular network,
but also when applications are evaluated.


title: The geometry of manifolds and the perception of space

abstract:
  This essay discusses the development of key geometric ideas in the 19th
century which led to the formulation of the concept of an abstract manifold
(which was not necessarily tied to an ambient Euclidean space) by Hermann Weyl
in 1913. This notion of manifold and the geometric ideas which could be
formulated and utilized in such a setting (measuring a distance between points,
curvature and other geometric concepts) was an essential ingredient in
Einstein's gravitational theory of space-time from 1916 and has played
important roles in numerous other theories of nature ever since.


title:
Fujita blow up phenomena and hair trigger effect: the role of dispersal
  tails

abstract:
  We consider the nonlocal diffusion equation $\partial \_t u=J*u-u+u^{1+p}$ in
the whole of $\R ^N$. We prove that the Fujita exponent dramatically depends on
the behavior of the Fourier transform of the kernel $J$ near the origin, which
is linked to the tails of $J$. In particular, for compactly supported or
exponentially bounded kernels, the Fujita exponent is the same as that of the
nonlinear Heat equation $\partial \_tu=\Delta u+u^{1+p}$. On the other hand,
for kernels with algebraic tails, the Fujita exponent is either of the Heat
type or of some related Fractional type, depending on the finiteness of the
second moment of $J$. As an application of the result in population dynamics
models, we discuss the hair trigger effect for $\partial \_t
u=J*u-u+u^{1+p}(1-u)$


title: Role of Depletion on the Dynamics of a Diffusing Forager

abstract:
  We study the dynamics of a starving random walk in general spatial dimension
$d$. This model represents an idealized description for the fate of an unaware
forager whose motion is not affected by the presence or absence of resources.
The forager depletes its environment by consuming resources and dies if it
wanders too long without finding food. In the exactly-solvable case of one
dimension, we explicitly derive the average lifetime of the walk and the
distribution for the number of distinct sites visited by the walk at the
instant of starvation. We also give a heuristic derivation for the averages of
these two quantities. We tackle the complex but ecologically-relevant case of
two dimensions by an approximation in which the depleted zone is assumed to
always be circular and which grows incrementally each time the walk reaches the
edge of this zone. Within this framework, we derive a lower bound for the
scaling of the average lifetime and number of distinct sites visited at
starvation. We also determine the asymptotic distribution of the number of
distinct sites visited at starvation. Finally, we solve the case of high
spatial dimensions within a mean-field approach.


title:
Optimal time-decay estimates for the compressible navier-stokes
  equations in the critical l p framework

abstract:
  The global existence issue for the isentropic compressible Navier-Stokes
equations in the critical regularity framework has been addressed in [7] more
than fifteen years ago. However, whether (optimal) time-decay rates could be
shown in general critical spaces and any dimension d $\ge$ 2 has remained an
open question. Here we give a positive answer to that issue not only in the L 2
critical framework of [7] but also in the more general L p critical framework
of [3, 6, 14]. More precisely, we show that under a mild additional decay
assumption that is satisfied if the low frequencies of the initial data are in
e.g. L p/2 (R d), the L p norm (the slightly stronger $\dot B^0_{p,1}$ norm in
fact) of the critical global solutions decays like t --d(1 p -- 1 4) for t
$\rightarrow$ +$\infty$, exactly as firstly observed by A. Matsumura and T.
Nishida in [23] in the case p = 2 and d = 3, for solutions with high Sobolev
regularity. Our method relies on refined time weighted inequalities in the
Fourier space, and is likely to be effective for other hyperbolic/parabolic
systems that are encountered in fluid mechanics or mathematical physics.


title:
Recurrent Convolutional Neural Network Regression for Continuous Pain
  Intensity Estimation in Video

abstract:
  Automatic pain intensity estimation possesses a significant position in
healthcare and medical field. Traditional static methods prefer to extract
features from frames separately in a video, which would result in unstable
changes and peaks among adjacent frames. To overcome this problem, we propose a
real-time regression framework based on the recurrent convolutional neural
network for automatic frame-level pain intensity estimation. Given vector
sequences of AAM-warped facial images, we used a sliding-window strategy to
obtain fixed-length input samples for the recurrent network. We then carefully
design the architecture of the recurrent network to output continuous-valued
pain intensity. The proposed end-to-end pain intensity regression framework can
predict the pain intensity of each frame by considering a sufficiently large
historical frames while limiting the scale of the parameters within the model.
Our method achieves promising results regarding both accuracy and running speed
on the published UNBC-McMaster Shoulder Pain Expression Archive Database.


title: Local vs. global temperature under a positive curvature condition

abstract:
  For a massless free scalar field in a globally hyperbolic space-time we
compare the global temperature T, defined for the KMS states $\omega^T$, with
the local temperature $T_{\omega}(x)$ introduced by Buchholz and Schlemmer. We
prove the following claims: (1) Whenever $T_{\omega^T}(x)$ is defined, it is a
continuous, monotonically increasing function of T at every point x. (2)
$T_{\omega}(x)$ is defined when the space-time is ultra-static with compact
Cauchy surface and non-trivial scalar curvature $R\ge 0$, $\omega$ is
stationary and a few other assumptions are satisfied. Our proof of (2) relies
on the positive mass theorem. We discuss the necessity of its assumptions,
providing counter-examples in an ultra-static space-time with non-compact
Cauchy surface and R<0 somewhere. We interpret the result in terms of a
violation of the weak energy condition in the background space-time.


title: T/B scaling without quasiparticle mass divergence: YbCo2Ge4

abstract:
  YbCo$_2$Ge$_4$ is a clean paramagnetic Kondo lattice which displays non-Fermi
liquid behavior. We report a detailed investigation of the specific heat,
magnetic Gr\"uneisen parameter ($\Gamma_{\rm mag}$) and temperature derivative
of the magnetization ($M$) on a high-quality single crystal at temperatures
down to $0.1$~K and magnetic fields up to 7~T. $\Gamma_{\rm mag}$ and $dM/dT$
display a divergence upon cooling and obey $T/B$ scaling. Similar behavior has
previously been found in several other Yb-based Kondo lattices and related to a
zero-field quantum critical point without fine tuning of pressure or
composition. However, in the approach of $B\rightarrow 0$ the electronic heat
capacity coefficient of YbCo$_2$Ge$_4$ saturates at low $T$, excluding
ferromagnetic quantum criticality. This indicates that $T/B$ scaling is
insufficient to prove a zero-field quantum critical point.


title: Covering Problems and Core Percolations on Hypergraphs

abstract:
  Covering problems are classical computational problems concerning whether a
certain combinatorial structure 'covers' another. For example, the minimum
vertex covering problem aims to find the smallest set of vertices in a graph so
that each edge is incident to at least one vertex in that set. Interestingly,
the computational complexity of the minimum vertex covering problem in graphs
is closely related to the core percolation problem, where the core is a special
subgraph obtained by the greedy leaf removal procedure. Here, by generalizing
the greedy leaf removal procedure in graphs to hypergraphs, we introduce two
generalizations of core percolation in graphs to hypergraphs, related to the
minimum hyperedge cover problem and the minimum vertex cover problem on
hypergraphs, respectively. We offer analytical solutions of these two core
percolations for random hypergraphs with arbitrary vertex degree and hyperedge
cardinality distributions. We also compute these two cores in several
real-world hypergraphs, finding that they tend to be much smaller than their
randomized counterparts. This result suggests that both the minimum hyperedge
cover problem and the minimum vertex cover problem in those real-world
hypergraphs can actually be solved in polynomial time. Finally, we map the
minimum dominating set problem in graphs to the minimum hyperedge cover problem
in hypergraphs. We show that our generalized greedy leaf removel procedure
significantly outperforms the state-of-the-art method in solving the minimum
dominating set problem.


title: Flavor structure in $SO(32)$ heterotic string theory

abstract:
  We study the flavor structure in $SO(32)$ heterotic string theory on
six-dimensional torus with magnetic fluxes. In particular, we focus on models
with the flavor symmetries $SU(3)_f$ and $\Delta(27)$. In both models, we can
realize the realistic quark masses and mixing angles.


title: Effects of human dynamics on epidemic spreading in C\^{o}te d'Ivoire

abstract:
  Understanding and predicting outbreaks of contagious diseases are crucial to
the development of society and public health, especially for underdeveloped
countries. However, challenging problems are encountered because of complex
epidemic spreading dynamics influenced by spatial structure and human dynamics
(including both human mobility and human interaction intensity). We propose a
systematical model to depict nationwide epidemic spreading in C\^{o}te
d'Ivoire, which integrates multiple factors, such as human mobility, human
interaction intensity, and demographic features. We provide insights to aid in
modeling and predicting the epidemic spreading process by data-driven
simulation and theoretical analysis, which is otherwise beyond the scope of
local evaluation and geometrical views. We show that the requirement that the
average local basic reproductive number to be greater than unity is not
necessary for outbreaks of epidemics. The observed spreading phenomenon can be
roughly explained as a heterogeneous diffusion-reaction process by redefining
mobility distance according to the human mobility volume between nodes, which
is beyond the geometrical viewpoint. However, the heterogeneity of human
dynamics still poses challenges to precise prediction.


title:
Terrestrial matter effects on reactor antineutrino oscillations at JUNO
  or RENO-50: how small is small?

abstract:
  We have carefully examined, in both analytical and numerical ways, how small
the terrestrial matter effects can be in a given medium-baseline reactor
antineutrino oscillation experiment like JUNO or RENO-50. Taking the ongoing
JUNO experiment for example, we show that the inclusion of terrestrial matter
effects may reduce the sensitivity of the neutrino mass ordering measurement by
\Delta \chi^2_{\rm MO} \simeq 0.6, and a neglect of such effects may shift the
best-fit values of the flavor mixing angle \theta_{12} and the neutrino
mass-squared difference \Delta_{21} by about 1\sigma to 2\sigma in the future
data analysis. In addition, a preliminary estimate indicates that a 2\sigma
sensitivity of establishing the terrestrial matter effects can be achieved for
about 10 years of data taking at JUNO with the help of a proper near detector
implementation.


title:
Precedence-constrained scheduling problems parameterized by partial
  order width

abstract:
  Negatively answering a question posed by Mnich and Wiese (Math. Program.
154(1-2):533-562), we show that P2|prec,$p_j{\in}\{1,2\}$|$C_{\max}$, the
problem of finding a non-preemptive minimum-makespan schedule for
precedence-constrained jobs of lengths 1 and 2 on two parallel identical
machines, is W[2]-hard parameterized by the width of the partial order giving
the precedence constraints. To this end, we show that Shuffle Product, the
problem of deciding whether a given word can be obtained by interleaving the
letters of $k$ other given words, is W[2]-hard parameterized by $k$, thus
additionally answering a question posed by Rizzi and Vialette (CSR 2013).
Finally, refining a geometric algorithm due to Servakh (Diskretn. Anal. Issled.
Oper. 7(1):75-82), we show that the more general Resource-Constrained Project
Scheduling problem is fixed-parameter tractable parameterized by the partial
order width combined with the maximum allowed difference between the earliest
possible and factual starting time of a job.


title: Bayesian parameter estimation by continuous homodyne detection

abstract:
  We simulate the process of continuous homodyne detection of the radiative
emission from a quantum system, and we investigate how a Bayesian analysis can
be employed to determine unknown parameters that govern the system evolution.
Measurement back-action quenches the system dynamics at all times and we show
that the ensuing transient evolution is more sensitive to system parameters
than the steady state of the system. The parameter sensitivity can be
quantified by the Fisher information, and we investigate numerically and
analytically how the temporal noise correlations in the measurement signal
contribute to the ultimate sensitivity limit of homodyne detection.


title: Sum-of-Squares Certificates for Maxima of Random Tensors on the Sphere

abstract:
  For an $n$-variate order-$d$ tensor $A$, define $ A_{\max} := \sup_{\| x \|_2
= 1} \langle A , x^{\otimes d} \rangle$ to be the maximum value taken by the
tensor on the unit sphere. It is known that for a random tensor with i.i.d $\pm
1$ entries, $A_{\max} \lesssim \sqrt{n\cdot d\cdot\log d}$ w.h.p. We study the
problem of efficiently certifying upper bounds on $A_{\max}$ via the natural
relaxation from the Sum of Squares (SoS) hierarchy. Our results include:
  - When $A$ is a random order-$q$ tensor, we prove that $q$ levels of SoS
certifies an upper bound $B$ on $A_{\max}$ that satisfies \[ B ~~~~\leq~~
  A_{\max} \cdot \biggl(\frac{n}{q^{\,1-o(1)}}\biggr)^{q/4-1/2} \quad
\text{w.h.p.} \] Our upper bound improves a result of Montanari and Richard
(NIPS 2014) when $q$ is large.
  - We show the above bound is the best possible up to lower order terms,
namely the optimum of the level-$q$ SoS relaxation is at least \[ A_{\max}
\cdot \biggl(\frac{n}{q^{\,1+o(1)}}\biggr)^{q/4-1/2} \ . \]
  - When $A$ is a random order-$d$ tensor, we prove that $q$ levels of SoS
certifies an upper bound $B$ on $A_{\max}$ that satisfies \[
  B ~~\leq ~~ A_{\max} \cdot \biggl(\frac{\widetilde{O}(n)}{q}\biggr)^{d/4 -
1/2} \quad \text{w.h.p.} \] For growing $q$, this improves upon the bound
certified by constant levels of SoS. This answers in part, a question posed by
Hopkins, Shi, and Steurer (COLT 2015), who established the tight
characterization for constant levels of SoS.


title:
Random Access in Uplink Massive MIMO Systems: How to exploit
  asynchronicity and excess antennas

abstract:
  Massive MIMO systems, where the base stations are equipped with hundreds of
antennas, are an attractive way to handle the rapid growth of data traffic. As
the number of users increases, the initial access and handover in contemporary
networks will be flooded by user collisions. In this work, we propose a random
access procedure that resolves collisions and also performs timing, channel,
and power estimation by simply utilizing the large number of antennas
envisioned in massive MIMO systems and the inherent timing misalignments of
uplink signals during network access and handover. Numerical results are used
to validate the performance of the proposed solution under different settings.
It turns out that the proposed solution can detect all collisions with a
probability higher than 90%, at the same time providing reliable timing and
channel estimates. Moreover, numerical results demonstrate that it is robust to
overloaded situations.


title: Excitation of wakefield around pulsars

abstract:
  We study the generation of the wakefields by means of the high energy
radiation of pulsars. The problem is considered in the framework of a one
dimensional approach. We linearize the set of governing equations consisting of
the momentum equation, continuity equation an Poisson equation and show that a
wavelike structure will inevitably arise relatively close to the pulsar.


title:
Fractional superharmonic functions and the Perron method for nonlinear
  integro-differential equations

abstract:
  We deal with a class of equations driven by nonlocal, possibly degenerate,
integro-differential operators of differentiability order $s\in (0,1)$ and
summability growth $p>1$, whose model is the fractional $p$-Laplacian with
measurable coefficients. We state and prove several results for the
corresponding weak supersolutions, as comparison principles, a priori bounds,
lower semicontinuity, and many others. We then discuss the good definition of
$(s,p)$-superharmonic functions, by also proving some related properties. We
finally introduce the nonlocal counterpart of the celebrated Perron method in
nonlinear Potential Theory.


title: DAGAL: Detailed Anatomy of Galaxies

abstract:
  The current IAU Symposium is closely connected to the EU-funded network DAGAL
(Detailed Anatomy of Galaxies), with the final annual network meeting of DAGAL
being at the core of this international symposium. In this short paper, we give
an overview of DAGAL, its training activities, and some of the scientific
advances that have been made under its umbrella.


title: Polar symplectic representations

abstract:
  We study polar representations in the sense of Dadok and Kac which are
symplectic. We show that such representations are coisotropic and use this fact
to give a classification. We also study their moment maps and prove that they
separate closed orbits. Our work can also be seen as a specialization of some
of the results of Knop on multiplicity free symplectic representations to the
polar case.


title:
Orbital and physical parameters, and the distance of the eclipsing
  binary system OGLE-LMC-ECL-25658 in the Large Magellanic Cloud

abstract:
  We present an analysis of a new detached eclipsing binary,
OGLE-LMC-ECL-25658, in the Large Magellanic Cloud. The system consists of two
late G-type giant stars on an eccentric orbit and orbital period of ~200 days.
The system shows total eclipses and the components have similar temperatures,
making it ideal for a precise distance determination. Using multi-color
photometric and high resolution spectroscopic data, we have performed an
analysis of light and radial velocity curves simultaneously using the Wilson
Devinney code. We derived orbital and physical parameters of the binary with a
high precision of < 1 %. The masses and surface metallicities of the components
are virtually the same and equal to 2.23 +/- 0.02 M_sun and [Fe/H] = -0.63 +/-
0.10 dex. However their radii and rates of rotation show a distinct trace of
differential stellar evolution. The distance to the system was calculated using
an infrared calibration between V-band surface brightness and (V-K) color,
leading to a distance modulus of (m-M) = 18.452 +/- 0.023 (statistical) +/-
0.046 (systematic). Because OGLE-LMC-ECL-25658 is located relatively far from
the LMC barycenter we applied a geometrical correction for its position in the
LMC disc using the van der Marel et al. model of the LMC. The resulting
barycenter distance to the galaxy is d_LMC = 50.30 +/- 0.53 (stat.) kpc, and is
in perfect agreement with the earlier result of Pietrzynski et al.(2013).


title:
Design Guidelines for the User-Centred Collaborative Citizen Science
  Platforms

abstract:
  Online Citizen Science platforms are good examples of socio-technical systems
where technology-enabled interactions occur between scientists and the general
public (volunteers). Citizen Science platforms usually host multiple Citizen
Science projects, and allow volunteers to choose the ones to participate in.
Recent work in the area has demonstrated a positive feedback loop between
participation and learning and creativity in Citizen Science projects, which is
one of the motivating factors both for scientists and the volunteers. This
emphasises the importance of creating successful Citizen Science platforms,
which support this feedback process, and enable enhanced learning and
creativity to occur through knowledge sharing and diverse participation. In
this paper, we discuss how scientists' and volunteers' motivation and
participation influence the design of Citizen Science platforms. We present our
summary as guidelines for designing these platforms as user-inspired
socio-technical systems. We also present the case-studies on popular Citizen
Science platforms, including our own CitizenGrid platform, developed as part of
the CCL EU project, as well as Zooniverse, World Community Grid, CrowdCrafting
and EpiCollect+ to see how closely these platforms follow our proposed
guidelines and how these may be further improved to incorporate the creativity
enabled by the collective knowledge sharing.


title: The random $k$ cycle walk on the symmetric group

abstract:
  We study the random walk on the symmetric group $S_n$ generated by the
conjugacy class of cycles of length $k$. We show that the convergence to
uniform measure of this walk has a cut-off in total variation distance after
$\frac{n}{k} log n$ steps, uniformly in $k = o(n)$ as $n \to \infty$. The
analysis follows from a new asymptotic estimation of the characters of the
symmetric group evaluated at cycles.


title: Lossless Linear Analog Compression

abstract:
  We establish the fundamental limits of lossless linear analog compression by
considering the recovery of random vectors
${\boldsymbol{\mathsf{x}}}\in{\mathbb R}^m$ from the noiseless linear
measurements
${\boldsymbol{\mathsf{y}}}=\boldsymbol{A}{\boldsymbol{\mathsf{x}}}$ with
measurement matrix $\boldsymbol{A}\in{\mathbb R}^{n\times m}$. Specifically,
for a random vector ${\boldsymbol{\mathsf{x}}}\in{\mathbb R}^m$ of arbitrary
distribution we show that ${\boldsymbol{\mathsf{x}}}$ can be recovered with
zero error probability from
$n>\inf\underline{\operatorname{dim}}_\mathrm{MB}(U)$ linear measurements,
where $\underline{\operatorname{dim}}_\mathrm{MB}(\cdot)$ denotes the lower
modified Minkowski dimension and the infimum is over all sets
$U\subseteq{\mathbb R}^{m}$ with $\mathbb{P}[{\boldsymbol{\mathsf{x}}}\in
U]=1$. This achievability statement holds for Lebesgue almost all measurement
matrices $\boldsymbol{A}$. We then show that $s$-rectifiable random vectors---a
stochastic generalization of $s$-sparse vectors---can be recovered with zero
error probability from $n>s$ linear measurements. From classical compressed
sensing theory we would expect $n\geq s$ to be necessary for successful
recovery of ${\boldsymbol{\mathsf{x}}}$. Surprisingly, certain classes of
$s$-rectifiable random vectors can be recovered from fewer than $s$
measurements. Imposing an additional regularity condition on the distribution
of $s$-rectifiable random vectors ${\boldsymbol{\mathsf{x}}}$, we do get the
expected converse result of $s$ measurements being necessary. The resulting
class of random vectors appears to be new and will be referred to as
$s$-analytic random vectors.


title:
Constraining the range of Yukawa gravity interaction from S2 star orbits
  II: Bounds on graviton mass

abstract:
  Recently LIGO collaboration discovered gravitational waves \cite{Abbott_16}
predicted 100 years ago by A. Einstein. Moreover, in the key paper reporting
about the discovery, the joint LIGO \& VIRGO team presented an upper limit on
graviton mass such as $m_g < 1.2 \times 10^{-22} eV$ (Abbott et al. (LIGO
collaboration) PRL 116 (2016) 061102). Since the graviton mass limit is so
small the authors concluded that their observational data do not show
violations of classical general relativity. We consider another opportunity to
evaluate a graviton mass from phenomenological consequences of massive gravity
and show that an analysis of bright star trajectories could bound graviton mass
with a comparable accuracy with accuracies reached with gravitational wave
interferometers and expected with forthcoming pulsar timing observations for
gravitational wave detection. It gives an opportunity to treat observations of
bright stars near the Galactic Center as a wonderful tool not only for an
evaluation specific parameters of the black hole but also to obtain constraints
on the fundamental gravity law such as a modifications of Newton gravity law in
a weak field approximation. In particular, we obtain bounds on a graviton mass
based on a potential reconstruction at the Galactic Center.


title: Capacity Planning for Cluster Tools in the Semiconductor Industry

abstract:
  This paper proposes a new model for Cluster-tools with two load locks.
Cluster-tools are widely used to automate single wafer processing in
semiconductor industry. The load locks are the entry points into the vacuum of
the Cluster-tool's mainframe. Usually there are two of them available. Each lot
being processed, is dedicated to a single load-lock. Therefore at most two
different lots (with possibly different processing times and qualification) can
be processed simultaneously. This restriction is one of the major potential
bottlenecks.
  Capacity planning is one of the possible applications for the proposed model
and the paper demonstrates the integration into a more general framework that
considers different tool types and different operational modes.
  The paper also generalizes an earlier model that is limited to three
processing chambers. The proposed modeling approach is based on makespan
reductions by parallel processing. It turns out that the performance of the new
approach is similar, when compared to the generalized model for three chambers,
but the new approach outperforms the generalized model for four and more
chambers.


title: Temporal network structures controlling disease spreading

abstract:
  We investigate disease spreading on eight empirical data sets of human
contacts (mostly proximity networks recording who is close to whom, at what
time). We compare three levels of representations of these data sets: temporal
networks, static networks and a fully connected topology. We notice that the
difference between the static and fully-connected networks -- with respect to
time to extinction and average outbreak size -- is smaller than between the
temporal and static topologies. This suggests that, for these data sets,
temporal structures influence disease spreading more than static network
structures. To explain the details in the differences between the
representations, we use 32 network measures. This study concur that long-time
temporal structures, like the turnover of nodes and links, are the most
important for the spreading dynamics.


title:
Equivalence of quasiregular mappings on subRiemannian manifolds via the
  Popp extension

abstract:
  We show that all the common definitions of quasiregular mappings $f\colon
M\to N$ between two equiregular subRiemannian manifolds of homogeneous
dimension $Q\geq 2$ are quantitatively equivalent with precise dependences of
the quasiregularity constants. As an immediate consequence, we obtain that if
$f$ is $1$-quasiregular according to one of the definitions, then it is also
$1$-quasiregular according to any other definition. In particular, this
recovers a recent theorem of Capogna et al. on the equivalence of
$1$-quasiconformal mappings.
  Our main results answer affirmatively a few open questions from the recent
research. The main new ingredient in our proofs is the distortion estimates for
particular local extensions of the horizontal metrics. These extensions are
named "Popp extensions", and based on these extensions, we introduce a new
natural and invariant definition of quasiregularity in the equiregular
subRiemannian setting. The analysis on Popp extensions and on the implied
distortion is also of independent interest.


title:
Phase coexistence phenomena in an extreme case of the misanthrope
  process with open boundaries

abstract:
  The misanthrope process is a class of stochastic interacting particle
systems, generalizing the simple exclusion process. It allows each site of the
lattice to accommodate more than one particle. We consider a special case of
the one dimensional misanthrope process whose probability distribution is
completely equivalent to the ordinary simple exclusion process under the
periodic boundary condition. By imposing open boundaries, high- and low-density
domains can coexist in the system, which we investigate by Monte Carlo
simulations. We examine finite-size corrections of density profiles and
correlation functions, when the jump rule for particles is symmetric. Moreover,
we study properties of delocalized and localized shocks in the case of the
totally asymmetric jump rule. The localized shock slowly moves to its stable
position in the bulk.


title:
QoS Web Service Security Dynamic Intruder Detection System for HTTP SSL
  services

abstract:
  Web services are expected to play significant role for message communications
over internet applications. Most of the future work is web security. Online
shopping and web services are increasing at rapid rate. In this paper we
presented the fundamental concepts related to Network security, web security
threats. QoS web service security intrusion detection is important concern in
network communications and firewalls security; we discussed various issues and
challenges related to web security. The fundamental concepts network security
XML firewall, XML networks. We proposed a novel Dynamic Intruder Detection
System (DIDA) is safe guard against SSL secured transactions over message
communications in intermediate routers that enable services to sender and
receiver use Secured Session Layer protocol messages. This can be into three
stages 1. Sensor 2. Analyzer and 3.User Interface.


title: Weyl invariance with a nontrivial mass scale

abstract:
  A theory with a mass scale and yet Weyl invariant is presented. The theory is
not invariant under all diffeomorphisms but only under transverse ones. This is
the reason why Weyl invariance does not imply scale invariance in a free
falling frame. Physical implications of this framework are discussed.


title:
Influence of pigment-protein coupling on excitation energy transfer in
  FMO complex

abstract:
  To explain experimentally observed oscillatory dynamics of highly efficient
process of excitation energy transfer (EET) in Fenna-Matthews-Olson (FMO)
complex, most theoretical models assume the same local protein environment
around all the bacteriochlorophyll-a (BChla) sites, contradictory to the
structural analysis of FMO complex. Using different values of pigment-protein
couplings for different BChla sites, measured in the adiabatic limit of
electron transfer, we theoretically investigate the effect of inhomogeneous
local protein environment on excitation energy transfer. By employing
non-Markovian master equation we demonstrate that the asymmetric system-bath
coupling leads to the results consistent with the experimental observations.
Quantum dynamical simulation suggests that the correlated fuctuations preserve
the oscillation of excitation for long time-scales. Further different BChla
sites have asymmetric time-scales of oscillations of excitation due to
in-homogeneous pigment-protein couplings also.


title: Gauge coupling unification with extra Higgs doublets

abstract:
  Gauge coupling unification is studied within the framework where there are
extra Higgs doublets and $E_6$ exotic fields. Supersymmetric models and
nonsupersymmetric models are investigated, and a catalog of models with gauge
coupling unification is presented.


title: Extrapolation in the scale of generalized reverse H\"older weights

abstract:
  We develop a theory of extrapolation for weights that satisfy a generalized
reverse H\"older inequality in the scale of Orlicz spaces. This extends
previous results by Auscher and Martell [2] on limited range extrapolation. As
an application, we show that a number of weighted norm inequalities for linear
and bilinear operators can be proved using our extrapolation theorem.


title:
Integral equations and boundary-element solution for static potential in
  a general piece-wise homogeneous volume conductor

abstract:
  Boundary element methods (BEM) are used for forward computation of
bioelectromagnetic fields in multi-compartment volume conductor models. Most
BEM approaches assume that each compartment is in contact with at most one
external compartment. In this work, I present a general surface integral
equation and BEM discretization that remove this limitation and allow BEM
modeling of general piecewise-homogeneous medium. The new integral equation
allows positioning of field points at junctioned boundary of more than two
compartments, enabling the use of linear collocation BEM in such a complex
geometry. A modular BEM implementation is presented for linear collocation and
Galerkin approaches, starting from standard formulation. The approach and
resulting solver are verified in four ways, including comparisons of volume and
surface potentials to those obtained using the finite element method (FEM), and
the effect of a hole in skull on electroencephalographic scalp potentials is
demonstrated.


title: Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn

abstract:
  In this paper, we will analyze the effect of thermal fluctuations on the
thermodynamics of a charged dilatonic black Saturn. These thermal fluctuations
will correct the thermodynamics of the charged dilatonic black Saturn. We will
analyze the corrections to the thermodynamics of this system by first relating
the fluctuations in the entropy to the fluctuations in the energy. Then, we
will use the relation between entropy and a conformal field theory to analyze
the fluctuations in the entropy. We will demonstrate that similar physical
results are obtained from both these approaches. We will also study the effect
of thermal fluctuations on the phase transition in this charged dilatonic black
Saturn.


title:
Supersymmetry Breaking as a new source for the Generalized Uncertainty
  Principle

abstract:
  In this letter, we will demonstrate that the breaking of supersymmetry by a
non-anticommutative deformation can be used to generate the generalized
uncertainty principle. We will analyse the physical reasons for this
observation, in the framework of string theory. We also discuss the relation
between the generalized uncertainty principle and the Lee-Wick field theories.


title: The Arrow of Time and Correlations in Quantum Physics

abstract:
  We discuss the arrow of time in terms of the increase of correlations between
the system and its environment. Here we show that the existence of the arrow of
time, based on deleting correlations, requires a strict absence of initial
correlations between the system and the environment. We discuss our work in
relation to other approaches addressing the same problem and emphasise
similarities and differences.


title: X-ray and optical observations of four polars

abstract:
  We aim to study the temporal and spectral behaviour of four polar CVs from
the infrared to X-ray regimes, refine our knowledge of the physical parameters
of these systems at different accretion rates, and to search for a possible
excess of soft X-ray photons.
  We analysed four XMM X-ray observations of three of the sources, two of them
discovered in SDSS, one in RASS. The X-ray data were complemented by optical
photometry and spectroscopy and, for two sources, archival Swift observations.
SDSSJ0328 was X-ray bright in two XMM and two Swift observations, and shows
transitions from high and low accretion states over a few months. It has no
strong soft excess. We measured the magnetic field strength at the main pole to
be 39 MG, the inclination to be 45<i<77 deg, and we have refined the long-term
ephemeris. SDSSJ1333 was X-ray faint. We measured a faint phase X-ray flux and
plasma temperature for this source, which spends almost all of its time
accreting at a low level. Its inclination is less than about 76 degrees.
1RXSJ1730 was X-ray bright in the XMM data. Its spectrum contained a modest
soft blackbody component, not luminous enough to be considered a strong soft
excess. We inferred a magnetic field strength at the main pole of 20 to 25 MG,
and that the inclination is less than 77 and probably less than 63 deg. V808
Aur was faint in the Swift observation but there is still strong evidence for
bright and faint phases in X-rays and perhaps in UV. Residual X-ray flux from
the faint phase is hard to explain by thermal emission from the WD surface, or
by accretion onto the other pole. We give a revised distance estimate of 250pc.
  The three systems we could study in detail appear to be normal polars, with
luminosity and magnetic field strength typical for this class of CV. None of
these systems shows the strong soft excess thought commonplace in polars prior
to the XMM era.


title: Fault Tolerance for Stream Processing Engines

abstract:
  Distributed Stream Processing Engines (DSPEs) target applications related to
continuous computation, online machine learning and real-time query processing.
DSPEs operate on high volume of data by applying lightweight operations on
real-time and continuous streams. Such systems require clusters of hundreds of
machine for their deployment. Streaming applications come with various
requirements, i.e., low-latency, high throughput, scalability and high
availability. In this survey, we study the fault tolerance problem for DSPEs.
We discuss fault tolerance techniques that are used in modern stream processing
engines that are Storm, S4, Samza, SparkStreaming and MillWheel. Further, we
give insight on fault tolerance approaches that we categorize as active
replication, passive replication and upstream backup. Finally, we discuss
implications of the fault tolerance techniques for different streaming
application requirements.


title: A primer for unstable motivic homotopy theory

abstract:
  In this expository article, we give the foundations, basic facts, and first
examples of unstable motivic homotopy theory with a view towards the approach
of Asok-Fasel to the classification of vector bundles on smooth complex affine
varieties. Our focus is on making these techniques more accessible to algebraic
geometers.


title:
Efficient Execution of Irregular Wavefront Propagation Pattern on Many
  Integrated Core Architecture

abstract:
  The efficient execution of image processing algorithms is an active area of
Bioinformatics. In image processing, one of the classes of algorithms or
computing pattern that works with irregular data structures is the Irregular
Wavefront Propagation Pattern (IWPP). In this class, elements propagate
information to neighbors in the form of wave propagation. This propagation
results in irregular access to data and expansions. Due to this irregularity,
current implementations of this class of algorithms requires atomic operations,
which is very costly and also restrains implementations with Single
Instruction, Multiple Data (SIMD) instructions in Many Integrated Core (MIC)
architectures, which are critical to attain high performance on this processor.
The objective of this study is to redesign the Irregular Wavefront Propagation
Pattern algorithm in order to enable the efficient execution on processors with
Many Integrated Core architecture using SIMD instructions. In this work, using
the Intel (R) Xeon Phi (TM) coprocessor, we have implemented a vector version
of IWPP with up to 5.63x gains on non-vectored version, a parallel version
using First In, First Out (FIFO) queue that attained speedup up to 55x as
compared to the single core version on the coprocessor, a version using
priority queue whose performance was 1.62x better than the fastest version of
GPU based implementation available in the literature, and a cooperative version
between heterogeneous processors that allow to process images bigger than the
Intel (R) Xeon Phi (TM) memory and also provides a way to utilize all the
available devices in the computation.


title:
Routes towards the experimental observation of the large fluctuations
  due to chaos assisted tunneling effects with cold atoms

abstract:
  In the presence of a complex classical dynamics associated with a mixed phase
space, a quantum wave function can tunnel between two stable islands through
the chaotic sea, an effect that has no classical counterpart. This phenomenon,
referred to as chaos assisted tunneling, is characterized by large fluctuations
of the tunneling rate when a parameter is varied. To date the full extent of
this effect as well as the associated statistical distribution have never been
observed in a quantum system. Here we analyze the possibility of characterizing
these effects accurately in a cold atom experiment. Using realistic values of
the parameters of an experimental setup, we examine through analytical
estimates and extensive numerical simulations a specific system that can be
implemented with cold atoms, the atomic modulated pendulum. We assess the
efficiency of three possible routes to observe in detail chaos assisted
tunneling properties. Our main conclusion is that due to the fragility of the
symmetry between positive and negative momenta as a function of quasimomentum,
it is very challenging to use tunneling between classical islands centered on
fixed points with opposite momentum. We show that it is more promising to use
islands symmetric in position space, and characterize the regime where it could
be done. The proposed experiment could be realized with current
state-of-the-art technology.


title:
Building the analytical response in frequency domain of AC biased
  bolometers Application to Planck/HFI

abstract:
  Context: Bolometers are high sensitivity detector commonly used in Infrared
astronomy. The HFI instrument of the Planck satellite makes extensive use of
them, but after the satellite launch two electronic related problems revealed
critical. First an unexpected excess response of detectors at low optical
excitation frequency for {\nu} < 1 Hz, and secondly the Analog To digital
Converter (ADC) component had been insufficiently characterized on-ground.
These two problems require an exquisite knowledge of detector response. However
bolometers have highly nonlinear characteristics, coming from their electrical
and thermal coupling making them very difficult to modelize.
  Goal: We present a method to build the analytical transfer function in
frequency domain which describe the voltage response of an Alternative Current
(AC) biased bolometer to optical excitation, based on the standard bolometer
model. This model is built using the setup of the Planck/HFI instrument and
offers the major improvement of being based on a physical model rather than the
currently in use had-hoc model based on Direct Current (DC) bolometer theory.
  Method: The analytical transfer function expression will be presented in
matrix form. For this purpose, we build linearized versions of the bolometer
electro thermal equilibrium. And a custom description of signals in frequency
is used to solve the problem with linear algebra. The model performances is
validated using time domain simulations.
  Results: The provided expression is suitable for calibration and data
process- ing. It can also be used to provide constraints for fitting optical
transfer function using real data from steady state electronic response and
optical response. The accurate description of electronic response can also be
used to improve the ADC nonlinearity correction for quickly varying optical
signals.


title: Decentralized Quasi-Newton Methods

abstract:
  We introduce the decentralized Broyden-Fletcher-Goldfarb-Shanno (D-BFGS)
method as a variation of the BFGS quasi-Newton method for solving decentralized
optimization problems. The D-BFGS method is of interest in problems that are
not well conditioned, making first order decentralized methods ineffective, and
in which second order information is not readily available, making second order
decentralized methods impossible. D-BFGS is a fully distributed algorithm in
which nodes approximate curvature information of themselves and their neighbors
through the satisfaction of a secant condition. We additionally provide a
formulation of the algorithm in asynchronous settings. Convergence of D-BFGS is
established formally in both the synchronous and asynchronous settings and
strong performance advantages relative to first order methods are shown
numerically.


title:
Empirical corrections to the Amber RNA force field with Target
  Metadynamics

abstract:
  The computational study of conformational transitions in nucleic acids still
faces many challenges. For example, in the case of single stranded RNA
tetranucleotides, agreement between simulations and experiments is not
satisfactory due to inaccuracies in the force fields commonly used in molecular
dynamics simulations. We here use experimental data collected from
high-resolution X-ray structures to attempt an improvement of the latest
version of the AMBER force field. A modified metadynamics algorithm is used to
calculate correcting potentials designed to enforce experimental distributions
of backbone torsion angles. Replica-exchange simulations of tetranucleotides
including these correcting potentials show significantly better agreement with
independent solution experiments for the oligonucleotides containing pyrimidine
bases. Although the proposed corrections do not seem to be portable to generic
RNA systems, the simulations revealed the importance of the alpha and beta
backbone angles on the modulation of the RNA conformational ensemble. The
correction protocol presented here suggests a systematic procedure for
force-field refinement.

categories: q-bio.BM cond-mat.stat-mech physics.bio-ph physics.chem-ph physics.comp-ph


title:
Proposal for a quantum delayed-choice experiment with a spin-mechanical
  setup

abstract:
  We describe an experimentally feasible protocol for performing a variant of
the quantum delayed-choice experiment with massive objects. In this scheme, a
single nitrogen-vacancy (NV) center in diamond driven by microwave fields is
dispersively coupled to a massive mechanical resonator. A double-pulse Ramsey
interferometer can be implemented with the spin-mechanical setup, where the
second Ramsey microwave pulse drives the spin conditioned on the number states
of the resonator. The probability for finding the NV center in definite spin
states exhibits interference fringes when the mechanical resonator is prepared
in a specific number state. On the other hand, the interference is destroyed if
the mechanical resonator stays in some other number states. The wavelike and
particlelike behavior of the NV spin can be superposed by preparing the
mechanical resonator in a superposition of two distinct number states. Thus a
quantum version of Wheeler's delayed-choice experiment could be implemented,
allowing of fundamental tests of quantum mechanics on a macroscopic scale.


title:
Determination of the zero-field magnetic structure of the helimagnet
  MnSi at low temperature

abstract:
  Below a temperature of approximately 29 K the manganese magnetic moments of
the cubic binary compound MnSi order to a long-range incommensurate helical
magnetic structure. Here, we quantitatively analyze a high-statistic zero-field
muon spin rotation spectrum recorded in the magnetically ordered phase of MnSi
by exploiting the result of representation theory as applied to the
determination of magnetic structures. Instead of a gradual rotation of the
magnetic moments when moving along a <111> axis, we find that the angle of
rotation between the moments of certain subsequent planes is essentially
quenched. It is the magnetization of pairs of planes which rotates when moving
along a <111> axis, thus preserving the overall helical structure.