title:
The geometric phase of Z$_n$- and T-symmetric nanomagnets as a
  classification toolkit

abstract:
  We derive the general form of the non-trivial geometric phase resulting from
the unique combination of point group and time reversal symmetries. This phase
arises e.g. when a magnetic adatom is adsorbed on a non-magnetic C$_n$ crystal
surface, where $n$ denotes the fold of the principal axis. The energetic
ordering and the relevant quantum numbers of the eigenstates are entirely
determined by this quantity. Moreover, this phase allows to conveniently
predict the protection mechanism of any prepared state, shedding light onto a
large number of experiments and allowing a classification scheme. Owing to its
robustness this geometric phase also has great relevance for a large number of
applications in quantum computing, where topologically protected states bearing
long relaxation times are highly desired.


title: Algebraic non-integrability of magnetic billiards

abstract:
  We consider billiard ball motion in a convex domain of the Euclidean plane
bounded by a piece-wise smooth curve influenced by the constant magnetic field.
We show that if there exists a polynomial in velocities integral of the
magnetic billiard flow then every smooth piece $\gamma$ of the boundary must be
algebraic and either is a circle or satisfies very strong restrictions. In
particular in the case of ellipse it follows that magnetic billiard is
algebraically not integrable for all magnitudes of the magnetic field. We
conjecture that circle is the only integrable magnetic billiard not only in the
algebraic sense, but for a broader meaning of integrability. We also introduce
the model of Outer magnetic billiards. As an application of our method we prove
analogous results on algebraically integrable Outer magnetic billiards.


title: Nonlinear decoding of a complex movie from the mammalian retina

abstract:
  Retinal circuitry transforms spatiotemporal patterns of light into spiking
activity of ganglion cells, which provide the sole visual input to the brain.
Recent advances have led to a detailed characterization of retinal activity and
stimulus encoding by large neural populations. The inverse problem of decoding,
where the stimulus is reconstructed from spikes, has received less attention,
in particular for complex input movies that should be reconstructed
"pixel-by-pixel". We recorded around a hundred neurons from a dense patch in a
rat retina and decoded movies of multiple small discs executing
mutually-avoiding random motions. We constructed nonlinear (kernelized)
decoders that improved significantly over linear decoding results, mostly due
to their ability to reliably separate between neural responses driven by
locally fluctuating light signals, and responses at locally constant light
driven by spontaneous or network activity. This improvement crucially depended
on the precise, non-Poisson temporal structure of individual spike trains,
which originated in the spike-history dependence of neural responses. Our
results suggest a general paradigm in which downstream neural circuitry could
discriminate between spontaneous and stimulus-driven activity on the basis of
higher-order statistical structure intrinsic to the incoming spike trains.


title:
A note on Erd\"os-Faber-Lov\'asz Conjecture and edge coloring of
  complete graphs

abstract:
  A linear hypergraph is intersecting if any two different edges have exactly
one common vertex and an $n$-quasicluster is an intersecting linear hypergraph
with $n$ edges each one containing at most $n$ vertices and every vertex is
contained in at least two edges. The Erd\"os-Faber-Lov\'asz Conjecture states
that the chromatic number of any $n$-quasicluster is at most $n$. In the
present note we prove the correctness of the conjecture for a new infinite
class of $n$-quasiclusters using a specific edge coloring of the complete
graph.


title: On Some Permutation Binomials and Trinomials Over $\mathbb{F}_{2^n}$

abstract:
  In this work, we completely characterize (i) permutation binomials of the
form $x^{{{2^n -1}\over {2^t-1}}+1}+ ax \in \mathbb{F}_{2^n}[x], n = 2^st, a
\in \mathbb{F}_{2^{2t}}^{*}$, and (ii) permutation trinomials of the form
$x^{2^s+1}+x^{2^{s-1}+1}+\alpha x \in \mathbb{F}_{2^t}[x]$, \end{enumerate}
where $s,t$ are positive integers. The first result, which was our primary
motivation, is a consequence of the second result. The second result may be of
independent interest.


title: Damping of prominence longitudinal oscillations due to mass accretion

abstract:
  We study the damping of longitudinal oscillations of a prominence thread
caused by the mass accretion. In this model we considered a thin curved
magnetic tube filled with the plasma. The parts of the tube at the two sides of
the thread are filled with hot rarefied plasma. We assume that there are flows
of rarefied plasma toward the thread caused by the plasma evaporation at the
magnetic tube footpoints. Our main assumption is that the hot plasma is
instantaneously accommodated by the thread when it arrives at the thread, and
its temperature and density become equal to those of the thread. Then we derive
the system of ordinary differential equations describing the thread dynamics.
We consider linear and nonlinear oscillation. The nonlinearity reduces the
damping time, however this reduction is small. The damping time is inversely
proportional to the accretion rate. We also obtain that the oscillation periods
decrease with time. However even for the largest initial oscillation amplitude
considered in our article the period reduction does not exceed 20%. We conclude
that the mass accretion can damp the motion of the threads rapidly. Thus, this
mechanism can explain the observed strong damping of large-amplitude
longitudinal oscillations. In addition, the damping time can be used to
determine the mass accretion rate and indirectly the coronal heating.


title:
Discrete Breathers in a Mass-in-Mass Chain with Hertzian Local
  Resonators

abstract:
  We report on the existence of discrete breathers in a one-dimensional,
mass-in-mass chain with linear intersite coupling and nonlinear Hertzian local
resonators, which is motivated by recent studies of the dynamics of
microspheres adhered to elastic substrates. After predicting theoretically the
existence of the discrete breathers in the continuum and anticontinuum limits
of intersite coupling, we use numerical continuation to compute a family of
breathers interpolating between the two regimes in a finite chain, where the
displacement profiles of the breathers are localized around one or two lattice
sites. We then analyze the frequency-amplitude dependence of the breathers by
performing numerical continuation on a linear eigenmode (vanishing amplitude)
solution of the system near the upper band gap edge. Finally, we use direct
numerical integration of the equations of motion to demonstrate the formation
and evolution of the identified localized modes, including within settings that
may be relevant to future experimental studies.


title:
The Distance Precision Matrix: computing networks from nonlinear
  relationships

abstract:
  A fundamental method of reconstructing networks, e.g. in the context of gene
regulation, relies on the precision matrix (the inverse of the
variance-covariance matrix) as an indicator which variables are associated with
each other. The precision matrix assumes Gaussian data and its entries are zero
for those pairs of variable which are conditionally independent. Here, we
propose the Distance Precision Matrix which is based on a measure of possibly
non-linear association, the distance covarince. We provide evidence that the
Distance Precision Matrix can successfully compute networks from non-linear
data and does so in a very consistent manner across many data situations.


title:
Resonant thickening of self-gravitating discs: imposed or self-induced
  orbital diffusion in the tightly wound limit

abstract:
  The secular thickening of a self-gravitating stellar galactic disc is
investigated using the dressed collisionless Fokker-Planck equation and the
inhomogeneous multicomponent Balescu-Lenard equation. The thick WKB limits for
the diffusion fluxes are found using the epicyclic approximation, while
assuming that only radially tightly wound transient spirals are sustained by
the disc. This yields simple quadratures for the drift and diffusion
coefficients, providing a clear understanding of the positions of maximum
vertical orbital diffusion within the disc, induced by fluctuations either
external or due to the finite number of particles. These thick limits also
offer a consistent derivation of a thick disc Toomre parameter, which is shown
to be exponentially boosted by the ratio of the vertical to radial scale
heights. Dressed potential fluctuations within the disc statistically induce a
vertical bending of a subset of resonant orbits, triggering the corresponding
increase in vertical velocity dispersion. When applied to a tepid stable
tapered disc perturbed by shot noise, these two frameworks reproduce
qualitatively the formation of ridges of resonant orbits towards larger
vertical actions, as found in direct numerical simulations, but overestimates
the time-scale involved in their appearance. Swing amplification is likely
needed to resolve this discrepancy, as demonstrated in the case of razor-thin
discs. Other sources of thickening are also investigated, such as fading
sequences of slowing bars, or the joint evolution of a population of giant
molecular clouds within the disc.


title:
Magnetotransport and de Haas-van Alphen measurements in the type-II Weyl
  semimetal TaIrTe$_4$

abstract:
  The layered ternary compound TaIrTe$_4$ has been predicted to be a type-II
Weyl semimetal with only four Weyl points just above the Fermi energy.
Performing magnetotransport measurements on this material we find that the
resistivity does not saturate for fields up to 70 T and follows a $ \rho \sim
B^{1.5}$ dependence. Angular-dependent de Haas-van Alphen (dHvA) measurements
reveal four distinct frequencies. Analyzing these magnetic quantum oscillations
by use of density functional theory (DFT) calculations we establish that in
TaIrTe$_4$ the Weyl points are located merely $\sim$ 40-50 meV above the
chemical potential, suggesting that the chemical potential can be tuned into
the four Weyl nodes by moderate chemistry or external pressure, maximizing
their chiral effects on electronic and magnetotransport properties.


title:
The number of holes contained within the Fermi surface volume in
  underdoped high temperature superconductors

abstract:
  We bring resolution to the longstanding problem relating Fermi surface
reconstruction to the number of holes contained within the Fermi surface volume
in underdoped high Tc superconductors. On considering uniaxial and biaxial
charge-density wave order, we show that there exists a relationship between the
ordering wave vector, the hole doping and the cross-sectional area of the
reconstructed Fermi surface whose precise form depends on the volume of the
starting Fermi surface. We consider a `large' starting Fermi surface comprising
1+p hole carriers, as predicted by band structure calculations, and a `small'
starting Fermi surface comprising p hole carriers, as proposed in models in
which the Coulomb repulsion remains the dominant energy. Using the
reconstructed Fermi surface cross-sectional area obtained in quantum
oscillation experiments in YBa2Cu3O6+x and HgBa2CuO4+x and the established
methods for estimating the chemical hole doping, we find the ordering vectors
obtained from x-ray scattering measurements to show a close correspondence with
those expected for the small starting Fermi surface. We therefore show the
Coulomb repulsion to remain largely unscreened throughout the entire underdoped
regime where the pseudogap exists and further show that the quantum oscillation
frequency and charge-density wave vectors provide accurate estimates for the
number of holes contributing to the Fermi surface volume.


title: Dirac brackets and reduction of invariant bi-Poisson structures

abstract:
  Let $X$ be a manifold with a bi-Poisson structure $\{\eta^t\}$ generated by a
pair of $G$-invariant symplectic structures $\omega_1$ and $\omega_2$, where
the Lie group $G$ acts properly on $X$. Let $H$ be some isotropy subgroup for
this action representing the principle orbit type and $X^r_\mathfrak{h}$ be the
submanifold of $X$ consisting of the points in $X$ with the stabilizer algebra
equal to the Lie algebra $\mathfrak{h}$ of $H$ and with the stabilizer group
conjugated to $H$ in $G$. We prove that the pair of symplectic structures
$\omega_1|_{X^r_\mathfrak{h}}$ and $\omega_2|_{X^r_\mathfrak{h}}$ generates an
$N(H^0)/H^0$-invariant bi-Poisson structure on $X^r_\mathfrak{h}$, where
$N(H^0)$ is the normalizer in $G$ of the identity component $H^0$ of $H$. The
action of $\widetilde G=N(H^0)/H^0$ on $X^r_\mathfrak{h}$ is locally free and
proper and, moreover, the spaces $A^G$ of $G$-invariant functions on $X$ and
$A^{\widetilde G}$ of $\widetilde G$-invariant functions on $X^r_\mathfrak{h}$
can be canonically identified and therefore the bi-Poisson structure
$\{(\eta^t)'\}$ induced on $A^G\simeq A^{\widetilde G}$ can be treated as the
reduction with respect to a {\em locally free} action of a Lie group which
essentially simplifies the study of $\{(\eta^t)'\}$.


title: Possible magnetism based on orbital motion of protons in ice

abstract:
  A peak anomaly is observed in the magnetic susceptibility as a function of
temperature in solid H2O near Tp=60 K. At external magnetic fields below 2 kOe,
Tp becomes positive in the temperature range between 45 and 66 K. The magnetic
field dependence of the susceptibility in the same temperature range exhibits
an inverted ferromagnetic hysteretic loop superimposed on top of the
diamagnetic signature of ice at fields below 600 Oe. We suggest that a fraction
of protons that are capable of undergoing correlated tunneling in a hexagonal
path without disrupting the stoichiometry of the lattice create an induced
magnetic field opposite to the induced magnetic field created by the electrons
upon application of an external field which counters the overall diamagnetism
of the material.


title:
Secular diffusion in discrete self-gravitating tepid discs III. Resonant
  thickening in the tightly wound limit

abstract:
  The secular thickening of a discrete self-gravitating galactic disc is
investigated using the inhomogeneous multi-component Balescu-Lenard equation.
The thick WKB limit for the diffusion and drift coefficients is found using the
epicyclic approximation, while assuming that only radially tightly wound
transient spirals are sustained by the disc. This yields a simple double
quadrature for the drift and diffusion coefficients, providing a clear
understanding of the positions of maximum vertical orbital diffusion within the
disc induced by the effects of a finite number of particles. When applied to a
tepid stable tapered disc, the Balescu-Lenard formalism predicts the formation
of ridges of resonant orbits towards larger vertical actions, as found in
direct numerical simulations, but over-estimates the timescale involved in
their appearance. Swing amplication is likely needed to resolve this
discrepancy, as demonstrated in the case of razor-thin discs. The joint
evolution of a population of giant molecular clouds within the disc may
accelerate the secular disc's thickening induced by finite${-N}$ effects, but
the observed number of clouds in the Milky Way does not seem to be sufficient
to explain its thick disc.


title: Discrete symmetries and Lieb-Schultz-Mattis theorem

abstract:
  In this study, we consider one-dimension (1D) quantum spin systems with the
translation and discrete symmetries (spin reversal, space inversion and time
reversal symmetries). By combining the continuous U(1) symmetry with the
discrete symmetries and using the extended Lieb-Schultz-Mattis theorem
\cite{Lieb-Schultz-Mattis-1961}\cite{Nomura-Morishige-Isoyama-2015}, we
investigate the relation between the ground states, energy spectra and
symmetries. For half-integer spin cases, we generalize the dimer and N\'eel
concepts using the discrete symmetries, and we can reconcile the LSM theorem
with the dimer or N\'eel states, since there was a subtle dilemma. Furthermore,
a part of discrete symmetries is enough to classify possible phases. Thus we
can deepen our understanding of the relation between the LSM theorem and the
discrete symmetries.


title: The $B\to K^*$ form factors on the lattice

abstract:
  The extraction of the $B\to K^*$ transition form factors from lattice data is
studied, applying non-relativistic effective field theory in a finite volume.
The possible mixing of $\pi K$ and $\eta K$ states is taken into account. The
two-channel analogue of the Lellouch-L\"uscher formula is reproduced. Due to
the resonance nature of the $K^*$, an equation is derived, which allows to
determine the form factors at the pole position in a process-independent
manner. The infinitely-narrow width approximation of the results is discussed.


title: Radio luminosity function of brightest cluster galaxies

abstract:
  By cross-matching the currently largest optical catalog of galaxy clusters
and the NVSS radio survey database, we obtain the largest complete sample of
brightest cluster galaxies (BCGs) in the redshift range of 0.05<z<0.45, which
have radio emission and redshift information. We confirm that more powerful
radio BCGs tend to be these optically very bight galaxies located in more
relaxed clusters. We derived the radio luminosity functions of BCGs from the
largest complete sample of BCGs, and find that the functions depend on the
optical luminosity of BCGs and the dynamical state of galaxy clusters. However,
the radio luminosity function does not show significant evolution with
redshift.


title:
Differentiability properties of Riesz potentials of finite measures and
  non-doubling Calder\'on-Zygmund theory

abstract:
  We study differentiability properties of Riesz potentials of finite Borel
measures in dimension d larger than 2. The Riesz kernel has homogeneity 2-d. In
dimension 2 we consider logarithmic potentials. We introduce a notion of
differentiability in the capacity sense, capacity being Newtonian capacity in
dimension larger than 2 and Wiener capacity in the plane. It turns out that
differentiability in the capacity sense at a point is related to the existence
of principal values of the measure with respect to the vector valued Riesz
potential x/|x|^d of homogeneity 1-d. This leads to Calder\'on-Zygmund theory
for non-doubling measures. We prove that the Riesz potential of a finite Borel
measure is differentiable in the capacity sense except for a set of zero
C^1-harmonic capacity. This result is sharp. Surprisingly in the plane there
are two distinct notions of differentiability in the capacity sense. For each
of them we obtain the best possible result on the size of the exceptional set
in terms of Hausdorff measures. We obtain for dimension larger than 2 results
on Peano second order differentiability in the capacity sense with exceptional
sets of zero Lebesgue measure. Finally, we apply our results to find a new
proof of the fact that equilibrium measure is singular with respect to Lebesgue
measure.


title: Efficiently Creating 3D Training Data for Fine Hand Pose Estimation

abstract:
  While many recent hand pose estimation methods critically rely on a training
set of labelled frames, the creation of such a dataset is a challenging task
that has been overlooked so far. As a result, existing datasets are limited to
a few sequences and individuals, with limited accuracy, and this prevents these
methods from delivering their full potential. We propose a semi-automated
method for efficiently and accurately labeling each frame of a hand depth video
with the corresponding 3D locations of the joints: The user is asked to provide
only an estimate of the 2D reprojections of the visible joints in some
reference frames, which are automatically selected to minimize the labeling
work by efficiently optimizing a sub-modular loss function. We then exploit
spatial, temporal, and appearance constraints to retrieve the full 3D poses of
the hand over the complete sequence. We show that this data can be used to
train a recent state-of-the-art hand pose estimation method, leading to
increased accuracy. The code and dataset can be found on our website
https://cvarlab.icg.tugraz.at/projects/hand_detection/


title: Variance of the Internal Profile in Suffix Trees

abstract:
  The precise analysis of the variance of the profile of a suffix tree has been
a longstanding open problem. We analyze three regimes of the asymptotic growth
of the variance of the profile of a suffix tree built from a randomly generated
binary string, in the nonuniform case. We utilize combinatorics on words,
singularity analysis, and the Mellin transform.


title:
Unbiased split variable selection for random survival forests using
  maximally selected rank statistics

abstract:
  The most popular approach for analyzing survival data is the Cox regression
model. The Cox model may, however, be misspecified, and its proportionality
assumption may not always be fulfilled. An alternative approach for survival
prediction is random forests for survival outcomes. The standard split
criterion for random survival forests is the log-rank test statistics, which
favors splitting variables with many possible split points. Conditional
inference forests avoid this split variable selection bias. However, linear
rank statistics are utilized by default in conditional inference forests to
select the optimal splitting variable, which cannot detect non-linear effects
in the independent variables. An alternative is to use maximally selected rank
statistics for the split point selection. As in conditional inference forests,
splitting variables are compared on the p-value scale. However, instead of the
conditional Monte-Carlo approach used in conditional inference forests, p-value
approximations are employed. We describe several p-value approximations and the
implementation of the proposed random forest approach. A simulation study
demonstrates that unbiased split variable selection is possible. However, there
is a trade-off between unbiased split variable selection and runtime. In
benchmark studies of prediction performance on simulated and real datasets the
new method performs better than random survival forests if informative
dichotomous variables are combined with uninformative variables with more
categories and better than conditional inference forests if non-linear
covariate effects are included. In a runtime comparison the method proves to be
computationally faster than both alternatives, if a simple p-value
approximation is used.


title: Learning Bounded Treewidth Bayesian Networks with Thousands of Variables

abstract:
  We present a method for learning treewidth-bounded Bayesian networks from
data sets containing thousands of variables. Bounding the treewidth of a
Bayesian greatly reduces the complexity of inferences. Yet, being a global
property of the graph, it considerably increases the difficulty of the learning
process. We propose a novel algorithm for this task, able to scale to large
domains and large treewidths. Our novel approach consistently outperforms the
state of the art on data sets with up to ten thousand variables.


title: Effective Road Model for Congestion Control in VANETs

abstract:
  Congestion on the roads is a key problem to deal with, which wastes valuable
time.. Due to high mobility rate and relative speed link failure occur very
often. VANET is used to tackle the problem of congestion, and make decisions
well in advance to avoid traffic congestion. In this paper we proposed a
solution to detect and control the traffic congestion by using of both (V2V)
and (V2I), as a result the drivers become aware of the location of congestion
as well as way to avoid getting stuck in congestion. The congestion is detected
by analyzing the data obtained by vehicular communication and road side units
to avoid the traffic. Our proposition system is competent of detecting and
controlling traffic congestion in real-time. V2V and V2I communication network
is used to receive and send the messages. We simulate the result by using
Congestion Detection and Control Algorithm (CDCA), and show that this is one
effective way to control congestion. The Proposed methodology ensures reliable
and timely delivery of messages to know about congestion and avoid it.
  KEYWORD: CDCA ALGORITHM, INTELLIGENT TRANSPORTATION SYSTEM (ITS), VANET, V2I,
V2V.


title:
eQTL mapping and inherited risk enrichment analysis : a systems biology
  approach for coronary artery disease

abstract:
  Despite extensive research during the last decades, coronary artery disease
(CAD) remains the number one cause of death, responsible for near 50% of global
mortality. A main reason for this is that CAD has a complex inheritance and
etiology that unlike rare single gene disorders cannot fully be understood from
studies of of genes one-by-one.In parallel, studies that simultaneously assess
multiple, functionally associated genes are warranted. For this reason we
undertook the Stockholm Atherosclerosis Gene Expression (STAGE) study that
besides careful clinical characterization and genome-wide DNA genotyping also
assessed the global gene expression profiles from seven CAD-relevant vascular
and metabolic tissues. In this thesis report we show that by integrating GWAS
with genetics of gene expression studies like STAGE, we can advance our
understanding from the perspective of multiple genes and gene variants acting
in conjunction to cause CAD in the form of regulatory gene networks. This is
done through developing new bioinformatics tools and applying them to
disease-specific, genetics of global gene expression studies like STAGE. These
tools are necessary to go beyond our current limited single-gene understanding
of complex traits, like CAD.


title: Spatial Verification Using Wavelet Transforms: A Review

abstract:
  Due to the emergence of new high resolution numerical weather prediction
(NWP) models and the availability of new or more reliable remote sensing data,
the importance of efficient spatial verification techniques is growing. Wavelet
transforms offer an effective framework to decompose spatial data into separate
(and possibly orthogonal) scales and directions. Most wavelet based spatial
verification techniques have been developed or refined in the last decade and
concentrate on assessing forecast performance (i.e. forecast skill or forecast
error) on distinct physical scales. Particularly during the last five years, a
significant growth in meteorological applications could be observed. However, a
comparison with other scientific fields such as feature detection, image
fusion, texture analysis, or facial and biometric recognition, shows that there
is still a considerable, currently unused potential to derive useful diagnostic
information. In order to tab the full potential of wavelet analysis, we revise
the state-of-the art in one- and two-dimensional wavelet analysis and its
application with emphasis on spatial verification. We further use a technique
developed for texture analysis in the context of high-resolution quantitative
precipitation forecasts, which is able to assess structural characteristics of
the precipitation fields and allows efficient clustering of ensemble data.


title:
Curling Liquid Crystal Microswimmers: a cascade of spontaneous symmetry
  breaking

abstract:
  We report curling self-propulsion in aqueous emulsions of common mesogenic
compounds. Nematic liquid crystal droplets self-propel in a surfactant solution
with concentrations above the critical micelle concentration while undergoing
micellar solubilization. We analyzed trajectories both in a Hele-Shaw geometry
and in a 3D setup at variable buoyancy. The coupling between the nematic
director field and the convective flow inside the droplet leads to a second
symmetry breaking which gives rise to curling motion in 2D. This is
demonstrated through a reversible transition to non-helical persistent swimming
by heating to the isotropic phase. Furthermore, auto-chemotaxis can
spontaneously break the inversion symmetry, leading to helical trajectories.


title:
Dry deposition model for a microscale aerosol dispersion solver based on
  the moment method

abstract:
  A dry deposition model suitable for use in the moment method has been
developed. Contributions from five main processes driving the deposition -
Brownian diffusion, interception, impaction, turbulent impaction, and
sedimentation - are included in the model. The deposition model was employed in
the moment method solver implemented in the OpenFOAM framework. Applicability
of the developed expression and the moment method solver was tested on two
example problems of particle dispersion in the presence of a vegetation on
small scales: a flow through a tree patch in 2D and a flow through a hedgerow
in 3D. Comparison with the sectional method showed that the moment method using
the developed deposition model is able to reproduce the shape of the particle
size distribution well. The relative difference in terms of the third moment of
the distribution was below 10\% in both tested cases, and decreased away from
the vegetation. Main source of this difference is a known overprediction of the
impaction efficiency. When tested on the 3D test case, the moment method
achieved approximately eightfold acceleration compared to the sectional method
using 41 bins.


title:
Toward a W4-F12 approach: Can explicitly correlated and orbital-based ab
  initio CCSD(T) limits be reconciled?

abstract:
  In the context of high-accuracy computational thermochemistry, the valence
CCSD correlation component of molecular atomization energies present the most
severe basis set convergence problem, followed by the (T) component. In the
present paper, we make a detailed comparison, for an expanded version of the
W4-11 thermochemistry benchmark, between on the one hand orbital-based
CCSD/AV{5,6}Z+d and CCSD/ACV{5,6}Z extrapolation, and on the other hand
CCSD-F12b calculations with cc-pVQZ-F12 and cc-pV5Z-F12 basis sets. This latter
basis set, now available for H--He, B--Ne, and Al--Ar, is shown to be very
close to the basis set limit. Apparent differences (which can reach 0.35
kcal/mol for systems like CCl4) between orbital-based and CCSD-F12b basis set
limits disappear if basis sets with additional radial flexibility, such as
ACV{5,6}Z, are used for the orbital calculation. Counterpoise calculations
reveal that, while TAEs with V5Z-F12 basis sets are nearly free of BSSE,
orbital calculations have significant BSSE even with AV(6+d)Z basis sets,
leading to non-negligible differences between raw and counterpoise-corrected
extrapolated limits. This latter problem is greatly reduced by switching to
ACV{5,6}Z core-valence basis sets, or simply adding an additional zeta to just
the valence orbitals. Previous reports that all-electron approaches like HEAT
lead to different CCSD(T) limits than valence limit+CV correction approaches
like FPD and W4 theory can be rationalized in terms of the greater radial
flexibility of core-valence basis sets. W4-F12 is found to agree slightly
better than W4 with ATcT (active thermochemical tables) data, at a substantial
saving in CPU time and especially I/O overhead. A W4-F12 calculation on benzene
is presented as a proof of concept.


title:
Anisotropy of spin coherence in high mobility quantum wells with
  arbitrary magnetic fields

abstract:
  We present a theoretical study of the anisotropy of the spin relaxation and
decoherence in typical quantum wells with an arbitrary magnetic field. In such
systems, the orientation of the magnetic field relative to the main
crystallographic directions is crucial, owing to the lack of spin-rotation
symmetry. For typical high mobility samples, relaxation anisotropies in the
motional narrowing limit owing to the interplay of Rashba and Dresselhaus spin
orbit coupling are calculated. We also include the effect of the
cubic-in-momentum terms. Although commonly ignored in literature, the latter
were experimentally evidenced by the observation of strong anisotropy in spin
decoherence measurements by different experimental groups and has long remained
unexplained.


title:
A new Heterogeneous Multiscale Method for the Helmholtz equation with
  high contrast

abstract:
  In this paper, we suggest a new Heterogeneous Multiscale Method (HMM) for the
Helmholtz equation with high contrast. The method is constructed for a setting
as in Bouchitt\'e and Felbacq (C.R. Math. Acad. Sci. Paris 339(5):377--382,
2004), where the high contrast in the parameter leads to unusual effective
parameters in the homogenized equation. We revisit existing homogenization
approaches for this special setting and analyze the stability of the two-scale
solution with respect to the wavenumber and the data. This includes a new
stability result for solutions to the Helmholtz equation with discontinuous
diffusion matrix. The HMM is defined as direct discretization of the two-scale
limit equation.
  With this approach we are able to show quasi-optimality and an a priori error
estimate under a resolution condition that inherits its dependence on the
wavenumber from the stability constant for the analytical problem. Numerical
experiments confirm our theoretical convergence results and examine the
resolution condition. Moreover, the numerical simulation gives a good insight
and explanation of the physical phenomenon of frequency band gaps.


title: A $N$-branching random walk with random selection

abstract:
  We consider an exactly solvable model of branching random walk with random
selection, which describes the evolution of a population with $N$ individuals
on the real line. At each time step, every individual reproduces independently,
and its offspring are positioned around its current locations. Among all
children, $N$ individuals are sampled at random without replacement to form the
next generation, such that an individual at position $x$ is chosen with
probability proportional to $\mathrm{e}^{\beta x}$. We compute the asymptotic
speed and the genealogical behavior of the system.


title:
The task of the relativistic oscillator in a non-inertial frame of
  reference

abstract:
  In this paper the analogues of the Lorentz transformations for non-inertial
reference frames have been obtained. A common case when the movement speed of
one coordinate frame in relation to another one can have time derivatives of
higher orders. The obtained transformations conserve invariance of the
space-time interval, and in the particular case of inertial frames become the
well-known Lorentz transformations. It is shown that the transition from
classical mechanics to the theory of relativity is analogous to the
consideration of the vibrating system described by the equation of the
sine-Gordon type. In this case, if the amplitude of the elliptic functions is
$k\to 0$ the fluctuations can be considered small, and that leads to classical
mechanics. With $k\to 1$ time depends on the vibration amplitude, which leads
to the theory of relativity. In the case of inertial frames the amplitude is
$k=\beta ={v}/{c}\;$.


title: Cylindrical symmetry locally isometric $AdS_{4}$ spacetime

abstract:
  We present a maximally symmetric vacuum spacetime, which is locally isometric
anti- de Sitter, admitting closed timelike curves appear after a definite
instant of time i.e., a time-machine spacetime. The spacetime is regular,
free-from curvature singularities and an $4D$ extension of the Misner space in
curved spacetime with identical causality violating properties.


title:
Stability and Space Phase Analysis in f(R) theory with Generalized
  Exponential model

abstract:
  We have studied in this paper, the stability of dynamical system in $f(R)$
gravity. We have considered the $f(R)$ $\gamma$-gravity and explored its
dynamical analysis. We found six critical points among which only one describes
an universe fulled of both matter and dominated dark energy. It's shown that
these critical points presents specific phase spaces described by the
corresponding fluids. Furthermore, we've investigated the stability conditions
of these critical points and find that theses conditions are dependent of the
model parameters. We also study the stability of a new power-law $f_\ast(R)$
model with de Sitter and power law solutions.


title:
Constraint on ghost-free bigravity from gravitational Cherenkov
  radiation

abstract:
  We investigate gravitational Cherenkov radiation in a healthy branch of
background solutions in the ghost-free bigravity model. In this model, because
of the modification of dispersion relations, each polarization mode can possess
subluminal phase velocities, and the gravitational Cherenkov radiation could be
potentially emitted from a relativistic particle. In the present paper, we
derive conditions for the process of the gravitational Cherenkov radiation to
occur and estimate the energy emission rate for each polarization mode. We
found that the gravitational Cherenkov radiation emitted even from an ultrahigh
energy cosmic ray is sufficiently suppressed for the graviton's effective mass
less than $100\,{\rm eV}$, and the bigravity model with dark matter coupled to
the hidden metric is therefore consistent with observations of high energy
cosmic rays.


title:
Preface to the 18th workshop "What comes beyond the standard models",
  Bled July 11--19, 2015, and links to the talks in the proceedings

abstract:
  The contribution contains the preface to the Proceedings to the 18th Workshop
"What Comes Beyond the Standard Models", Bled, July 11 - 19, 2015, published in
Bled workshops in physics, Vol.16, No. 2, DMFA-Zaloznistvo, Ljubljana, Dec.
2015, links to (most of) the published contributions and section (by M.Yu.
Khlopov) on VIA at Bled 2015.


title: Generating functions for the Bannai-Ito polynomials

abstract:
  The generating function of the Bannai-Ito polynomials is derived using the
fact that these polynomials are known to be essentially the Racah or $6j$
coefficients of the $\mathfrak{osp}(1|2)$ Lie superalgebra. The derivation is
carried in a realization of the recoupling problem in terms of three Dunkl
oscillators.


title: A spectroscopic study of the Globular Cluster NGC 4147

abstract:
  We present the abundance analysis for a sample of 18 red giant branch stars
in the metal-poor globular cluster NGC 4147 based on medium and high resolution
spectra. This is the first extensive spectroscopic study of this cluster. We
derive abundances of C, N, O, Na, Mg, Al, Si, Ca, Ti, Cr, Fe, Ni, Y, Ba, and
Eu. We find a metallicity of [Fe/H]=-1.84+-0.02 and an alpha-enhancement of
+0.38+-0.05 (errors on the mean), typical of halo globular clusters in this
metallicity regime. A significant spread is observed in the abundances of light
elements C, N, O, Na, and Al. In particular we found a Na-O anti-correlation
and Na-Al correlation. The cluster contains only 15% of stars that belong to
the first generation (Na-poor and O-rich). This implies that it suffered a
severe mass loss during its lifetime. Its [Ca/Fe] and [Ti/Fe] mean values agree
better with the Galactic Halo trend than with the trend of extragalactic
environments at the cluster metallicity. This possibly suggests that NGC 4147
is a genuine Galactic object at odd with what claimed by some author that
proposed the cluster to be member of the Sagittarius dwarf galaxy. A
anti-relation between the light s-process element Y and Na may also be present.


title:
Entropic force law in the presence of a noncommutative inspired
  spacetime for a solar system scale

abstract:
  We first study some aspects of a physically inspired kind of a noncommutative
spherically symmetric spacetime based on the Gaussian-smeared mass distribution
for a solar system scale. This leads to the elimination of a singularity
appeared in the origin of the spacetime. Afterwards, we investigate some
features of Verlinde's scenario in the presence of the mentioned spacetime and
derive several quantities such as Unruh-Verlinde temperature, the energy and
the entropic force on three different types of holographic screens, namely the
static, the stretched horizon and the accelerating surface.


title: Localized Orthogonal Decomposition for two-scale Helmholtz-type problems

abstract:
  In this paper, we present a Localized Orthogonal Decomposition (LOD) in
Petrov-Galerkin formulation for a two-scale Helmholtz-type problem. The
two-scale problem is, for instance, motivated from the homogenization of the
Helmholtz equation with high contrast, studied together with a corresponding
multiscale method in (Ohlberger, Verf\"urth. A new Heterogeneous Multiscale
Method for the Helmholtz equation with high contrast, arXiv:1605.03400, 2016).
There, an unavoidable resolution condition on the mesh sizes in terms of the
wave number has been observed, which is known as "pollution effect" in the
finite element literature. Following ideas of (Gallistl, Peterseim. Comput.
Methods Appl. Mech. Engrg. 295:1-17, 2015), we use standard finite element
functions for the trial space, whereas the test functions are enriched by
solutions of subscale problems (solved on a finer grid) on local patches.
Provided that the oversampling parameter $m$, which indicates the size of the
patches, is coupled logarithmically to the wave number, we obtain a
quasi-optimal method under a reasonable resolution of a few degrees of freedom
per wave length, thus overcoming the pollution effect. In the two-scale
setting, the main challenges for the LOD lie in the coupling of the function
spaces and in the periodic boundary conditions.


title: Lattice sub-tilings and frames in LCA groups

abstract:
  Given a lattice $\Lambda$ in a locally compact abelian group $G$ and a
measurable subset $\Omega$ with finite and positive measure, then the set of
characters associated to the dual lattice form a frame for $L^2(\Omega)$ if and
only if the distinct translates by $\Lambda$ of $\Omega$ have almost empty
intersections. Some consequences of this results are the well-known Fuglede
theorem for lattices, as well as a simple characterization for frames of
modulates.


title:
MusE GAs FLOw and Wind (MEGAFLOW) I: First MUSE results on background
  quasars

abstract:
  The physical properties of galactic winds are one of the keys to understand
galaxy formation and evolution. These properties can be constrained thanks to
background quasar lines of sight (LOS) passing near star-forming galaxies
(SFGs). We present the first results of the MusE GAs FLOw and Wind (MEGAFLOW)
survey obtained of 2 quasar fields which have 8 MgII absorbers of which 3 have
rest-equivalent width greater than 0.8 \AA. With the new Multi Unit
Spectroscopic Explorer (MUSE) spectrograph on the Very Large Telescope (VLT),
we detect 6 (75$\%$) MgII host galaxy candidates withing a radius of 30 arcsec
from the quasar LOS. Out of these 6 galaxy--quasar pairs, from geometrical
arguments, one is likely probing galactic outflows, two are classified as
"ambiguous", two are likely probing extended gaseous disks and one pair seems
to be a merger. We focus on the wind$-$pair and constrain the outflow using a
high resolution quasar spectra from Ultraviolet and Visual Echelle Spectrograph
(UVES). Assuming the metal absorption to be due to gas flowing out of the
detected galaxy through a cone along the minor axis, we find outflow velocities
of the order of $\approx$ 150 km/s (i.e. smaller than the escape velocity) with
a loading factor, $\eta =\dot M_{\rm out}/$SFR, of $\approx$ 0.7. We see
evidence for an open conical flow, with a low-density inner core. In the
future, MUSE will provide us with about 80 multiple galaxy$-$quasar pairs in
two dozen fields.


title:
A new investigation of the possible X-ray counterparts of the magnetar
  candidate AX J1845-0258

abstract:
  AX J1845-0258 is a transient X-ray pulsar, with spin period of 6.97s,
discovered with the ASCA satellite in 1993. Its soft spectrum and the possible
association with a supernova remnant suggest that AX J1845-0258 might be a
magnetar, but this has not been confirmed yet. A possible counterpart one order
of magnitude fainter, AX J184453-025640, has been found in later X-ray
observations, but no pulsations have been detected. In addition, some other
X-ray sources are compatible with the pulsar location, which is in a crowded
region of the Galactic plane. We have carried out a new investigation of all
the X-ray sources in the ASCA error region of AX J1845-0258, using archival
data obtained with Chandra in 2007 and 2010, and with XMM-Newton in 2010. We
set an upper limit of 6% on the pulsed fraction of AX J184453-025640 and
confirmed its rather hard spectrum (power law photon index of 1.2 +\- 0.3). In
addition to the other two fainter sources already reported in the literature,
we found other X-ray sources positionally consistent with AX J1845-0258.
Although many of them are possibly foreground stars likely unrelated to the
pulsar, at least another new source, CXOU J184457.5-025823, could be a
plausible counterpart of AX J1845-0258. It has a flux of 6x10^{-14} erg cm^{-2}
s^{-1} and a spectrum well fit by a power law with photon index ~1.3 and Nh ~
10^{22} cm^{-2}.


title: Degeneracies with the Q.Q interaction in a single j shell

abstract:
  Previously [1] it was shown that for a configuration of 2 protons and 2
neutrons in the g_{9/2}shell there is a certain degeneracy that occurs when the
quadrupole-quadrupole interaction (Q.Q) is used to to obtain the wave
functions.. We here show 3 other examples of such degenerate pairs, all, as
before, involving T=0 and T=2 states. . More important we discuss an unusual
peculiarity of the original example. Also we point out that degeneracies can be
confusing and steps can be taken to remove them.


title: Opportunities with (semi)leptonic rare charm decays

abstract:
  We study (semi)leptonic rare charm decays and its opportunities in searches
for physics beyond the Standard Model (BSM). In particular, we analyse the
impact of potential BSM physics in $c\to ull'$ transitions, notably branching
ratios, angular observables, asymmetries and Lepton Flavour Violating (LFV)
decays. Testable effects are worked out model-independently and within
Leptoquark models supplemented with flavour patterns to link $K$/$B$ decays.


title: Concept based Attention

abstract:
  Attention endows animals an ability to concentrate on the most relevant
information among a deluge of distractors at any given time, either through
volitionally 'top-down' biasing, or driven by automatically 'bottom-up'
saliency of stimuli, in favour of advantageous competition in neural
modulations for information processing. Nevertheless, instead of being limited
to perceive simple features, human and other advanced animals adaptively learn
the world into categories and abstract concepts from experiences, imparting the
world meanings. This thesis suggests that the high-level cognitive ability of
human is more likely driven by attention basing on abstract perceptions, which
is defined as concept based attention (CbA).


title: Coherent electron transport in a helical nanotube

abstract:
  The quantum dynamics of carriers bound to helical tube surfaces is
investigated in a thin-layer quantization scheme. By numerically solving the
open-boundary Schr$\ddot{\rm o}$dinger equation in curvilinear coordinates,
geometric effect on the coherent transmission spectra is analysed in the case
of single propagating mode as well as multimode. It is shown that, the coiling
endows the helical nanotube with different transport properties from a bent
cylindrical surface. Fano resonance appears as a purely geometric effect in the
conductance, the corresponding energy of quasibound state is obviously
influenced by the torsion and length of the nanotube. We also find new plateaus
in the conductance. The transport of double-degenerate mode in this geometry is
reminiscent of the Zeeman coupling between the magnetic field and spin angular
momentum in quasi-one-dimensional structure.


title: Considerations on the genetic equilibrium law

abstract:
  In the first part of the paper I will present a brief review on the
Hardy-Weinberg equilibrium and its formulation in projective algebraic
geometry. In the second and last part I will discuss examples and
generalizations on the topic.


title:
Next-to-leading-order electroweak corrections to $pp \to W^+W^-\to$ 4
  leptons at the LHC

abstract:
  We present results of the first calculation of next-to-leading-order
electroweak corrections to W-boson pair production at the LHC that fully takes
into account leptonic W-boson decays and off-shell effects. Employing realistic
event selections, we discuss the corrections in situations that are typical for
the study of W-boson pairs as a signal process or of Higgs-boson decays $H\to W
W^*$, to which W-boson pair production represents an irreducible background. In
particular, we compare the full off-shell results, obtained treating the
W-boson resonances in the complex-mass scheme, to previous results in the
so-called double-pole approximation, which is based on an expansion of the loop
amplitudes about the W resonance poles. At small and intermediate scales, i.e.
in particular in angular and rapidity distributions, the two approaches show
the expected agreement at the level of fractions of a percent, but larger
differences appear in the TeV range. For transverse-momentum distributions, the
differences can even exceed the 10% level in the TeV range where "background
diagrams" with one instead of two resonant W bosons gain in importance because
of recoil effects.


title:
Time-resolved statistics of photon pairs in two-cavity Josephson
  photonics

abstract:
  We analyze the creation and emission of pairs of highly nonclassical
microwave photons in a setup where a voltage-biased Josephson junction is
connected in series to two electromagnetic oscillators. Tuning the external
voltage such that the Josephson frequency equals the sum of the two mode
frequencies, each tunneling Cooper pair creates one additional photon in both
of the two oscillators. The time-resolved statistics of photon emission events
from the two oscillators is investigated by means of single- and
cross-oscillator variants of the second-order correlation function
$g^{(2)}(\tau)$ and the waiting-time distribution $w(\tau)$. They provide
insight into the strongly correlated quantum dynamics of the two oscillator
subsystems and reveal a rich variety of quantum features of light including
strong antibunching and the presence of negative values in the Wigner function.


title: Doubling bialgebras of rooted trees

abstract:
  The vector space spanned by rooted forests admits two graded bialgebra
structures. The first is defined by A. Connes and D. Kreimer using admissible
cuts, and the second is defined by D. Calaque, K. Ebrahimi-Fard and the second
author using contraction of trees. In this article we define the doubling of
these two spaces. We construct two bialgebra structures on these spaces which
are in interaction, as well as two related associative products obtained by
dualization. We also show that these two bialgebras verify a commutative
diagram similar to the diagram verified D. Calaque, K. Ebrahimi-Fard and the
second author in the case of rooted trees Hopf algebra, and by the second
author in the case of cycle free oriented graphs.


title: Curves with normal planes at constant distance from a fixed point

abstract:
  We consider the curves whose all normal planes are at the same distance from
a fixed point and obtain some characterizations of them in the 3-dimensional
Euclidean space.


title: Iso-electric point of fluid

abstract:
  Iso-electric point(IEP) is the PH, at which the $\zeta$ potential is measured
to be zero. The occurrence of IEP has been understood due to the neutralization
of surface charge density (SCD) at the solid-liquid interface. In this work, we
use the potential trap model to study the sources of the surface charge density
at verious PC and PH, by taking the water-silica system as an example. It is
revealed that in the case of $PH<8$, the SCD is mainly originated from the
dissociation of water molecules. And the bulk ions trapped at the interface can
dominate the SCD when $PH>9$. Due to the mass action law, the dissociation of
water molecules is suppressed at the PH close to IEP, leading to a zero surface
charge density. In this way, zero $\zeta$ potential is obtained at the IEP. It
has also been obtained that the increase of the salt concentration in the water
can decrease the $\zeta$ potential, but increase the surface charge density.


title:
Binary neutron star merger simulations with different initial orbital
  frequency and equation of state

abstract:
  We present results from three-dimensional general relativistic simulations of
binary neutron star coalescences and mergers using public codes. We considered
equal mass models where the baryon mass of the two Neutron Stars (NS) is
$1.4M_{\odot}$, described by four different equations of state (EOS) for the
cold nuclear matter (APR4, SLy, H4, and MS1; all parametrized as piecewise
polytropes). We started the simulations from four different initial interbinary
distances ($40, 44.3, 50$, and $60$ km), including up to the last 16 orbits
before merger. That allows to show the effects on the gravitational wave phase
evolution, radiated energy and angular momentum due to: the use of different
EOSs, the orbital eccentricity present in the initial data and the initial
separation (in the simulation) between the two stars.
  Our results show that eccentricity has a major role in the discrepancy
between numerical and analytical waveforms until the very last few orbits,
where "tidal" effects and missing high-order post-Newtonian coefficients also
play a significant role.
  We test different methods for extrapolating the gravitational wave signal
extracted at finite radii to null infinity. We show that an effective procedure
for integrating the Newman-Penrose $\psi_4$ signal to obtain the gravitational
wave strain $h$ is to apply a simple high-pass digital filter to $h$ after a
time domain integration, where only the two physical motivated integration
constants are introduced. That should be preferred to the more common
procedures of introducing additional integration constants, integrating in the
frequency domain or filtering $\psi_4$ before integration.


title:
Lorentz-invariant and Lorentz-non-invariant aspects of a scalar tachyon
  field Lagrangian and the scalar tachyon Feynman propagator

abstract:
  A consistent theory of faster-than-light particles (tachyons) can be built
replacing the standard Lorentz-invariant approach to the quantum field theory
of tachyons by the Lorentz-covariant one, invoking a concept of the preferred
reference frame. This is a mandatory condition imposed by the causality
conservation. In this article some features of a Lorentz-violating (but
Lorentz-covariant) Lagrangian of a scalar tachyon field are considered. It is
shown that the equation of motion and Feynman propagator resulting from it are
Lorentz-invariant, while the Lorentz symmetry of the suggested tachyon field
model can be defined as covariantly broken.


title:
An Overview of Transmission Theory and Techniques of Large-scale Antenna
  Systems for 5G Wireless Communications

abstract:
  To meet the future demand for huge traffic volume of wireless data service,
the research on the fifth generation (5G) mobile communication systems has been
undertaken in recent years. It is expected that the spectral and energy
efficiencies in 5G mobile communication systems should be ten-fold higher than
the ones in the fourth generation (4G) mobile communication systems. Therefore,
it is important to further exploit the potential of spatial multiplexing of
multiple antennas. In the last twenty years, multiple-input multiple-output
(MIMO) antenna techniques have been considered as the key techniques to
increase the capacity of wireless communication systems. When a large-scale
antenna array (which is also called massive MIMO) is equipped in a
base-station, or a large number of distributed antennas (which is also called
large-scale distributed MIMO) are deployed, the spectral and energy
efficiencies can be further improved by using spatial domain multiple access.
This paper provides an overview of massive MIMO and large-scale distributed
MIMO systems, including spectral efficiency analysis, channel state information
(CSI) acquisition, wireless transmission technology, and resource allocation.


title: On the representation of integers by binary forms

abstract:
  Let $F$ be a binary form with integer coefficients, non-zero discriminant and
degree $d$ with $d$ at least $3$. Let $R_F(Z)$ denote the number of integers of
absolute value at most $Z$ which are represented by $F$. We prove that there is
a positive number $C_F$ such that $R_F(Z)$ is asymptotic to $C_F
Z^{\frac{2}{d}}$.


title:
Image-level Classification in Hyperspectral Images using Feature
  Descriptors, with Application to Face Recognition

abstract:
  In this paper, we proposed a novel pipeline for image-level classification in
the hyperspectral images. By doing this, we show that the discriminative
spectral information at image-level features lead to significantly improved
performance in a face recognition task. We also explored the potential of
traditional feature descriptors in the hyperspectral images. From our
evaluations, we observe that SIFT features outperform the state-of-the-art
hyperspectral face recognition methods, and also the other descriptors. With
the increasing deployment of hyperspectral sensors in a multitude of
applications, we believe that our approach can effectively exploit the spectral
information in hyperspectral images, thus beneficial to more accurate
classification.


title: Gaussian entanglement distribution with gigahertz bandwidth

abstract:
  The distribution of entanglement with Gaussian statistic can be used to
generate a mathematically-proven secure key for quantum cryptography. The
distributed secret key rate is limited by the {entanglement strength, the
entanglement bandwidth and the bandwidth of the photo-electric detectors}. The
development of a source for strongly, bi-partite entangled light with high
bandwidth promises an increased measurement speed and a linear boost in the
secure data rate. Here, we present the experimental realization of a Gaussian
entanglement source with a bandwidth of more than 1.25\,GHz. The entanglement
spectrum was measured with balanced homodyne detectors and was quantified via
the inseparability criterion introduced by Duan and coworkers with a critical
value of 4 below which entanglement is certified. Our measurements yielded an
inseparability value of about 1.8 at a frequency of 300\,MHz to about 2.8 at
1.2\,GHz extending further to about 3.1 at 1.48\,GHz. In the experiment we used
two 2.6\,mm long monolithic periodically poled potassium titanyl phosphate
(PPKTP) resonators to generate two squeezed fields at the telecommunication
wavelength of 1550\,nm. Our result proves the possibility of generating and
detecting strong continuous-variable entanglement with high speed.


title:
Composition and inverse of multivariate functions and algebraic system
  of equations

abstract:
  Every one knows that an equation is equivalent to a multivariate function.
Generally speaking, there are more than one unknown x in this multivariate
function and it is not easy to reduce the number of unknown x to one. In this
paper we achieve this by introducing function promotion which can converse a
function of less variables to one of more variables and by introducing
multivariate function composition developed from unary function composition. We
introduced inverse multivariate functions extended from inverse unary functions
then we can express the solution by an inverse multivariate function if this
equivalent multivariate function is invertible. For an equivalent irreversible
multivariate function we introduced relation and consider the equivalent
multivariate function as a special multivariate relation then we can express
the solution by an inverse multivariate relation which always exists. No one
will belief that every one is familiar with multivariate function composition
after their reading this paper and knowing the importance of multivariate
function composition to express the solution of a general equation. Further
more we discuss the possibility of expressing the solution, a multivariate
function or multivariate relation, for a general equation by superposition of
unary ones. This will involve Hilbert's 13th problem. The topic shown in this
paper can be new directions for many mathematicians because the topic is so
basic.


title: Canonical reduction for dilatonic gravity in 3+1 dimensions

abstract:
  We generalize the 1+1-dimensional gravity formalism of Ohta and Mann to 3+1
dimensions by developing the canonical reduction of a proposed formalism
applied to a system coupled with a set of point particles. This is done via the
Arnowitt-Deser-Misner method and by eliminating the resulting constraints and
imposing coordinate conditions. The reduced Hamiltonian is completely
determined in terms of the particles' canonical variables (coordinates, dilaton
field and momenta). It is found that the equation governing the dilaton field
under suitable gauge and coordinate conditions, including the absence of
transverse-traceless metric components, is a logarithmic Schroedinger equation.
Thus, although different, the 3+1 formalism retains some essential features of
the earlier 1+1 formalism, in particular the means of obtaining a quantum
theory for dilatonic gravity.


title:
Negative optical spin torque wrench of a nondiffracting non-paraxial
  fractional Bessel vortex beam

abstract:
  An absorptive Rayleigh dielectric sphere in a non-diffracting non-paraxial
fractional Bessel vortex beam experiences a spin torque. The axial and
transverse radiation spin torque components are evaluated in the dipole
approximation using the radiative correction of the electric field. Particular
emphasis is given on the polarization as well as changing the topological
charge and the beam's half-cone angle. When the beam order is zero, the axial
spin torque component vanishes. However, when the beam order becomes a real
positive number, the vortex beam induces left-handed (negative) axial spin
torque as the sphere shifts off-axially from the center of the beam. The
results show that a non-diffracting non-paraxial fractional Bessel vortex beam
is capable to induce a spin reversal of an absorptive Rayleigh sphere placed
arbitrarily in its path. Potential applications are yet to be explored in
particle manipulation, rotation in optical tweezers, optical tractor beams, the
design of optically-engineered metamaterials to name a few areas.


title: On optimality of empirical risk minimization in linear aggregation

abstract:
  In the first part of this paper, we show that the small-ball condition,
recently introduced by Mendelson (2015), may behave poorly for important
classes of localized functions such as wavelets, piecewise polynomials or
trigonometric polynomials, in particular leading to suboptimal estimates of the
rate of convergence of ERM for the linear aggregation problem. In a second
part, we recover optimal rates of covergence for the excess risk of ERM when
the dictionary is made of trigonometric functions. Considering the bounded
case, we derive the concentration of the excess risk around a single point,
which is an information far more precise than the rate of convergence. In the
general setting of a L2 noise, we finally refine the small ball argument by
rightly selecting the directions we are looking at, in such a way that we
obtain optimal rates of aggregation for the Fourier dictionary.


title:
Slip of grip of a molecular motor on a crowded track: Modeling shift of
  reading frame of ribosome on RNA template

abstract:
  We develop a stochastic model for the programmed frameshift of ribosomes
synthesizing a protein while moving along a mRNA template. Normally the reading
frame of a ribosome decodes successive triplets of nucleotides on the mRNA in a
step-by-step manner. We focus on the programmed shift of the ribosomal reading
frame, forward or backward, by only one nucleotide which results in a fusion
protein; it occurs when a ribosome temporarily loses its grip to its mRNA
track. Special "slippery" sequences of nucleotides and also downstream
secondary structures of the mRNA strand are believed to play key roles in
programmed frameshift. Here we explore the role of an hitherto neglected
parameter in regulating -1 programmed frameshift. Specifically, we demonstrate
that the frameshift frequency can be strongly regulated also by the density of
the ribosomes, all of which are engaged in simultaneous translation of the same
mRNA, at and around the slippery sequence. Monte Carlo simulations support the
analytical predictions obtained from a mean-field analysis of the stochastic
dynamics.


title: The Separate Universe Approach to Soft Limits

abstract:
  We develop a formalism for calculating soft limits of $n$-point inflationary
correlation functions using separate universe techniques. Our method naturally
allows for multiple fields and leads to an elegant diagrammatic approach. As an
application we focus on the trispectrum produced by inflation with multiple
light fields, giving explicit formulae for all possible single- and double-soft
limits. We also investigate consistency relations and present an infinite tower
of inequalities between soft correlation functions which generalise the
Suyama-Yamaguchi inequality.


title:
Evolution of N/O Abundance Ratios and Ionization Parameters from z~0 to
  2 Investigated by the Direct Temperature Method

abstract:
  We present N/O abundance ratios, ionization parameters {$q_{\rm ion}$}, and
oxygen abundance O/H for a total of 41 galaxies (11 individual galaxies and a
30-galaxy stack) including {Ly$\alpha$} emitters and Lyman break galaxies at
$z\sim 2$, and investigate galaxy evolution from $z\sim 0$ to $2$ in
conjunction with 208,529 local SDSS galaxies and 9 green pea galaxies (GPs). In
contrast with most of the recent studies, we obtain the N/O ratio, {$q_{\rm
ion}$}, and O/H measurements by direct $T_{\rm e}$ methods with
{[O\,\textsc{iii}]} $\lambda$4363 and {O\,\textsc{iii}]} $\lambda$1665 lines.
Based on these reliable measurements, we find that there exist $z\sim 2$
galaxies with an excess of N/O falling beyond the local average of N/O--O/H
relation, while the majority of the $z\sim 2$ galaxies have the N/O ratios
nearly comparable with $z\sim 0$ galaxies in the N/O--stellar mass relation.
Our galaxies place the upper limit of N/O ratio $\log ({\rm N/O})\le -1.26$ on
average, suggesting that the N/O ratio evolves, if at all, by $<0.17$ dex.
Exploiting our reliable measurements free from the N/O--{$q_{\rm ion}$}--O/H
degeneracies, we identify, for the first time, that $z\sim 2$ galaxies with
offsets in the BPT diagram indicate either 1) only an N/O excess, 2) only a
{$q_{\rm ion}$} excess, or 3) both N/O and {$q_{\rm ion}$} excesses. We argue
that the BPT offsets at $z\sim 2$ are not made by one of 1)--3) galaxy
populations alone, but the composite of 1)--3) populations. We confirm that
these 1)--3) populations also exist at $z\sim 0$, such as GPs and SDSS low-mass
and high-SFR galaxies (LMHSs).


title: Modeling two-boson mass distributions, E(38 MeV) and Z(57.5 GeV)

abstract:
  Besides general features of two-boson mass distributions, experimental
results are are discussed. Furthermore, E(38 MeV) and Z(57.5 GeV) are
highlighted.


title: Smooth double covers of K3 surfaces

abstract:
  In this paper we classify the topological invariants of the possible branch
loci of a smooth double cover $f:X\rightarrow Y$ of a K3 surface $Y$. We
describe some geometric properties of $X$ which depend on the properties of the
branch locus. We give explicit examples of surfaces $X$ with Kodaira dimension
1 and 2 obtained as double cover of K3 surfaces and we describe some of them as
bidouble cover of rational surfaces. Then, we classify the K3 surfaces which
admit smooth double covers $X$ satisfying certain conditions; under these
conditions the surface $X$ is of general type, $h^{1,0}(X)=0$ and
$h^{2,0}(X)=2$. We discuss the variation of the Hodge structure of
$H^2(X,\mathbb{Z})$ for some of these surfaces $X$.


title: Sub-threshold charm production in nuclear collisions

abstract:
  We present the first predictions for sub-threshold open charm and charmonium
production in nuclear collisions. The production mechanism is driven by
multi-step scatterings of nucleons and their resonance states, accumulating
sufficient energy for the production of $J/\Psi$, $\Lambda_c + \overline{D}$
and $D+\overline{D}$. Our results are of particular importance for the CBM
experiment at FAIR, as they indicate that already at the SIS100 accelerator one
can expect a significant number of charmed hadrons to be produced. This opens
new possibilities to explore charm dynamics and the formation of charmed
nuclei.


title:
Simplification, innateness, and the absorption of meaning from context:
  how novelty arises from gradual network evolution

abstract:
  The theory of interaction-based evolution argues that, at the most basic
level of analysis, there is a third alternative for how adaptive evolution
works besides a) accidental mutation and natural selection and b) Lamarckism,
namely, c) information provided by natural selection on the fit between the
organism and its environment is absorbed by non-accidental mutation. This
non-accidental mutation is non-Lamarckian yet useful for evolution, and is due
to evolved and continually evolving mutational mechanisms operating in the germ
cells. However, this theory has left a fundamental problem open: If mutational
mechanisms are not Lamarckian---if they are not "aware" of the environment and
the macroscale phenotype---then how could heritable novelty be due to anything
other than accidental mutation? This paper aims to address this question by
arguing the following. Mutational mechanisms can be broadly construed as
enacting local simplification operations on the DNA in germ cells, along with
gene duplication. The joint action of these mutational operations and natural
selection provides simplification under performance pressure. This joint action
creates from preexisting biological interactions new elements that have the
inherent capacity to come together into unexpected useful interactions with
other such elements, thus explaining nature's tendency for cooption. Novelty
thus arises not from a local genetic accident but from gradual network-level
evolution. Many empirical observations are explained from this perspective,
from cooption and gene fusion at the molecular level, to the evolution of
behavior and instinct at the organismal level. Finally, the nature of
mutational mechanisms and the need to study them in detail are described, and a
connection is drawn between evolution and learning.


title: The chemistry induced by mechanical load

abstract:
  Results in the field of mechanochemistry are summarized. For example under
mechanical load often a solvolysis is observed instead of a simple homolytic
bond rupture. Also a mechanically induced redox reaction was reported
experimentally and could be modelled theoretically. With CPMD simulations it is
possible to understand multi-step mechanisms in full detail.


title: Anomalous temperature dependence of the band-gap in Black Phosphorus

abstract:
  Black Phosphorus (BP) has gained renewed attention due to its singular
anisotropic electronic and optical properties that might be exploited for a
wide range of technological applications. In this respect, the thermal
properties are particularly important both to predict its room temperature
operation and to determine its thermoelectric potential. From this point of
view, one of the most spectacular and poorly understood phenomena is, indeed,
the BP temperature-induced band-gap opening: when temperature is increased the
fundamental band-gap increases instead of decreasing. This anomalous thermal
dependence has also been observed, recently, in its monolayer counterpart. In
this work, based on \textit{ab-initio} calculations, we present an explanation
for this long known, and yet not fully explained, effect. We show that it
arises from a combination of harmonic and lattice thermal expansion
contributions, which are, in fact, highly interwined. We clearly narrow down
the mechanisms that cause this gap opening by identifying the peculiar atomic
vibrations that drive the anomaly. The final picture we give explains both the
BP anomalous band-gap opening and the frequency increase with increasing volume
(tension effect).


title: Dimensional Reduction in Quantum Dipolar Antiferromagnets

abstract:
  We report ac susceptibility, specific heat, and neutron scattering
measurements on a dipolar-coupled antiferromagnet LiYbF$_4$. For the thermal
transition, the order-parameter critical exponent is found to be 0.20(1) and
the specific-heat critical exponent -0.25(1). The exponents agree with the 2D
XY/h$_4$ universality class despite the lack of apparent two-dimensionality in
the structure. The order-parameter exponent for the quantum phase transitions
is found to be 0.35(1) corresponding to (2+1)D. These results are in line with
those found for LiErF$_4$ which has the same crystal structure, but largely
different T$_N$, crystal field environment and hyperfine interactions. Our
results therefore experimentally establish that the dimensional reduction is
universal to quantum dipolar antiferromagnets on a distorted diamond lattice.


title: Spectral sequences in smooth generalized cohomology

abstract:
  We consider spectral sequences in smooth generalized cohomology theories,
including differential generalized cohomology theories. The main differential
spectral sequences will be of the Atiyah-Hirzebruch (AHSS) type, where we
provide a filtration by the Cech resolution of smooth manifolds. This allows
for systematic study of torsion in differential cohomology. We apply this in
detail to smooth Deligne cohomology, differential topological complex K-theory,
and to a smooth extension of integral Morava K-theory that we introduce. In
each case we explicitly identify the differentials in the corresponding
spectral sequences, which exhibit an interesting and systematic interplay
between (refinement of) classical cohomology operations, operations involving
differential forms, and operations on cohomology with U(1) coefficients.


title: The velocity of 1D Mott variable range hopping with external field

abstract:
  Mott variable range hopping is a fundamental mechanism for low-temperature
electron conduction in disordered solids in the regime of Anderson
localization. In a mean field approximation, it reduces to a random walk
(shortly, Mott random walk) on a random marked point process with possible
long-range jumps. We consider here the one-dimensional Mott random walk and we
add an external field (or a bias to the right). We show that the bias makes the
walk transient, and investigate its linear speed. Our main results are
conditions for ballisticity (positive linear speed) and for sub-ballisticity
(zero linear speed), and the existence in the ballistic regime of an invariant
distribution for the environment viewed from the walker, which is mutually
absolutely continuous with respect to the original law of the environment. If
the point process is a renewal process, the aforementioned conditions result in
a sharp criterion for ballisticity. Interestingly, the speed is not always
continuous as a function of the bias.


title:
Uniformly accurate time-splitting methods for the semiclassical
  Schr\"odinger equation Part 1 : Construction of the schemes and simulations

abstract:
  This article is devoted to the construction of new numerical methods for the
semiclassical Schr\"odinger equation. A phase-amplitude reformulation of the
equation is described where the Planck constant epsilon is not a singular
parameter. This allows to build splitting schemes whose accuracy is spectral in
space, of up to fourth order in time, and independent of epsilon before the
caustics. The second-order method additionally preserves the L^2-norm of the
solution just as the exact flow does. In this first part of the paper, we
introduce the basic splitting scheme in the nonlinear case, reveal our strategy
for constructing higher-order methods, and illustrate their properties with
simulations. In the second part, we shall prove a uniform convergence result
for the first-order splitting scheme applied to the linear Schr\"odinger
equation with a potential.


title:
Lie and Noether point symmetries of a class of quasilinear systems of
  second-order differential equations

abstract:
  We study the Lie and Noether point symmetries of a class of systems of
second-order differential equations with $n$ independent and $m$ dependent
variables ($n\times m$ systems). We solve the symmetry conditions in a
geometric way and determine the general form of the symmetry vector and of the
Noetherian conservation laws. We prove that the point symmetries are generated
by the collineations of two (pseudo)metrics, which are defined in the spaces of
independent and dependent variables. We demonstrate the general results in two
special cases (a) a system of $m$ coupled Laplace equations and (b) the
Klein-Gordon equation of a particle in the context of Generalized Uncertainty
Principle. In the second case we determine the complete invariant group of
point transformations, and we apply the Lie invariants in order to find
invariant solutions of the wave function for a spin-$0$ particle in the two
dimensional hyperbolic space.


title: Skew cell modules for diagram algebras

abstract:
  We provide an explicit construction of skew cell modules for diagram
algebras.


title: One-stroke polynomials over a ring of modulo $2^w$

abstract:
  Permutation polynomials over a ring of modulo $2^w$ are compatible with
digital computers and digital signal processors, and so they are in particular
expected to be useful for cryptography and pseudo random number generator. In
general, the period of the polynomial should be long in such fields. In this
paper, we derive the necessary and sufficient condition which specify
one-stroke polynomials which are permutation polynomials whose periods are
maximized.


title: Generic level $p$ Eisenstein congrunces for GSp$_4$

abstract:
  We investigate level $p$ Eisenstein congruences for GSp$_4$, generalisations
of level $1$ congruences predicted by Harder. By studying the associated Galois
and automorphic representations we see conditions that guarantee the existence
of a paramodular form satisfying the congruence. This provides theoretical
justification for computational evidence found in the author's previous paper.


title: Properties of the cluster population of NGC 1566 and their implications

abstract:
  We present results of a photometric study into the cluster population of NGC
1566, a nearby grand design spiral galaxy, sampled out to a Galactocentric
radius of $\approx 5.5$ kpc. The shape of the mass-limited age distribution
shows negligible variation with radial distance from the centre of the galaxy,
and demonstrates three separate sections, with a steep beginning, flat middle
and steep end. The luminosity function can be approximated by a power law at
lower luminosities with evidence of a truncation at higher luminosity. The
power law section of the luminosity function of the galaxy is best fitted by an
index $\approx -2$, in agreement with other studies, and is found to agree with
a model luminosity function, which uses an underlying Schechter mass function.
The recovered power law slope of the mass distribution shows a slight
steepening as a function of galactocentric distance, but this is within error
estimates. It also displays a possible truncation at the high mass end.
Additionally, the cluster formation efficiency ($\Gamma$) and the specific
U-band luminosity of clusters ($T_L(U)$) are calculated for NGC 1566 and are
consistent with values for similar galaxies. A difference in NGC 1566, however,
is that the fairly high star formation rate is in contrast with a low
$\Sigma_{SFR}$ and $\Gamma$, indicating that $\Gamma$ can only be said to
depend strongly on $\Sigma_{SFR}$, not the star formation rate.


title:
Quantifying efficient information transduction of biochemical signaling
  cascades

abstract:
  Cells can be considered as systems that utilize changes in thermodynamic
entropy as information. Therefore, they serve as useful models for
investigating the relationships between entropy production and information
transmission, i.e., signal transduction. Based on the hypothesis that cells
apply a chemical reaction cascade for the most efficient transduction of
information, we adopted a coding design that minimizes the number of bits per
concentration of molecules that are employed for information transduction. As a
result, the average rate of entropy production is uniform across all cycles in
a cascade reaction. Thus, the entropy production rate can be a valuable measure
for the quantification of intracellular signal transduction.


title: Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems

abstract:
  We study the qualitative behavior of nonlinear Dirac equations arising in
quantum field theory on complete Riemannian manifolds. In particular, we derive
monotonicity formulas and Liouville theorems for solutions of these equations.
Finally, we extend our analysis to Dirac-harmonic maps with curvature term.


title: Three new classes of optimal frequency-hopping sequence sets

abstract:
  The study of frequency-hopping sequences (FHSs) has been focused on the
establishment of theoretical bounds for the parameters of FHSs as well as on
the construction of optimal FHSs with respect to the bounds. Peng and Fan
(2004) derived two lower bounds on the maximum nontrivial Hamming correlation
of an FHS set, which is an important indicator in measuring the performance of
an FHS set employed in practice.
  In this paper, we obtain two main results. We study the construction of new
optimal frequency-hopping sequence sets by using cyclic codes over finite
fields. Let $\mathcal{C}$ be a cyclic code of length $n$ over a finite field
$\mathbb{F}_q$ such that $\mathcal{C}$ contains the one-dimensional subcode $
\mathcal{C}_0=\{(\alpha,\alpha,\cdots,\alpha)\in \mathbb{F}_q^n\,|\,\alpha\in
\mathbb{F}_q\}. $ Two codewords of $\mathcal{C}$ are said to be equivalent if
one can be obtained from the other through applying the cyclic shift a certain
number of times. We present a necessary and sufficient condition under which
the equivalence class of any codeword in $\mathcal{C}\setminus\mathcal{C}_0$
has size $n$. This result addresses an open question raised by Ding {\it et
al.} in \cite{Ding09}. As a consequence, three new classes of optimal FHS sets
with respect to the Singleton bound are obtained, some of which are also
optimal with respect to the Peng-Fan bound at the same time. We also show that
the two Peng-Fan bounds are, in fact, identical.


title: Equivalence of solutions to fractional $p$-Laplace type equations

abstract:
  In this paper, we study different notions of solutions of nonlocal and
nonlinear equations of fractional $p$-Laplace type $${\rm P.V.} \int_{\mathbb
R^n}\frac{|u(x)-u(y)|^{p-2}(u(x)-u(y))}{|x-y|^{n+sp}}\,dy = 0.$$ Solutions are
defined via integration by parts with test functions, as viscosity solutions or
via comparison. Our main result states that for bounded solutions, the three
different notions coincide.


title: A Unified Approach to Extended Real-Valued Functions

abstract:
  Extended real-valued functions are often used in optimization theory, but in
different ways for infimum problems and for supremum problems. We present an
approach to extended real-valued functions that works for all types of problems
and into which results of convex analysis can be embedded. Our approach
preserves continuity and the Chebyshev norm when extending a functional to the
entire space. The basic idea also works for other image spaces. Moreover, we
illustrate that extended real-valued functions have to be handled in another
way than real-valued functions and characterize semicontinuity, convexity,
linearity and related properties of such functions.


title: Well-posedness of linearized Taylor equations in magnetohydrodynamics

abstract:
  This paper is a first step in the study of the so-called Taylor model,
introduced by J.B. Taylor in \cite{Taylor}. This system of nonlinear PDE's is
derived from the viscous incompressible MHD equations, through an asymptotics
relevant to the Earth's magnetic field. We consider here a simple class of
linearizations of the Taylor model, for which we show well-posedness.


title: P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole

abstract:
  In this paper, we consider dyonic charged AdS black hole which is holographic
dual of a van der Waals fluid. We use logarithmic corrected entropy and study
thermodynamics of the black hole and show that holographic picture is still
valid. Critical behaviors and stability also discussed. Logarithmic corrections
arises due to thermal fluctuations which are important when size of black hole
be small. So, thermal fluctuations interpreted as quantum effect. It means that
we can see quantum effect of a black hole which is a gravitational system.


title:
Review of Searches for Rare Processes and Physics Beyond the Standard
  Model at HERA

abstract:
  The electron-proton collisions collected by the H1 and ZEUS experiments at
HERA comprise a unique particle physics data set, and a comprehensive range of
measurements has been performed to provide new insight into the structure of
the proton. The high centre of mass energy at HERA has also allowed rare
processes to be studied, including the production of W and Z bosons and events
with multiple leptons in the final state. The data have also opened up a new
domain to searches for physics beyond the Standard Model including contact
interactions, leptoquarks, excited fermions and a number of supersymmetric
models. This review presents a summary of such results, where the analyses
reported correspond to an integrated luminosity of up to 1 fb^-1, representing
the complete data set recorded by the H1 and ZEUS experiments.


title: Constacyclic symbol-pair codes: lower bounds and optimal constructions

abstract:
  Symbol-pair codes introduced by Cassuto and Blaum (2010) are designed to
protect against pair errors in symbol-pair read channels. The higher the
minimum pair distance, the more pair errors the code can correct. MDS
symbol-pair codes are optimal in the sense that pair distance cannot be
improved for given length and code size. The contribution of this paper is
twofold. First we present three lower bounds for the minimum pair distance of
constacyclic codes, the first two of which generalize the previously known
results due to Cassuto and Blaum (2011) and Kai {\it et al.} (2015). The third
one exhibits a lower bound for the minimum pair distance of repeated-root
cyclic codes. Second we obtain new MDS symbol-pair codes with minimum pair
distance seven and eight through repeated-root cyclic codes.


title:
Performance of the ALICE muon trigger system in pp and Pb/en-dashPb
  collisions at the LHC

abstract:
  The ALICE muon spectrometer studies the production of quarkonia and open
heavy- flavour particles. It is equipped with a Trigger System composed of
Resistive Plate Chambers which, by applying a transverse-momentum-based muon
selection, minimises the background from light-hadron decays. The system has
been continuously taking data throughout the LHC Run I; it has undergone
maintenance and consolidation operations during the LHC shutdown period 1. In
the first year of the LHC Run II, the system, fully recommissioned, has
participated in data taking in pp and Pb/en-dashPb collisions. The performance
of the system throughout the last data-taking period is presented.


title:
The Sherwood simulation suite: overview and data comparisons with the
  Lyman-alpha forest at redshifts 2 < z < 5

abstract:
  We introduce a new set of large scale, high resolution hydrodynamical
simulations of the intergalactic medium: the Sherwood simulation suite. These
are performed in volumes 10^3-160^3 h^-3 comoving Mpc^{3}, span almost four
orders of magnitude in mass resolution with up to 17.2 billion particles, and
employ a variety of physics variations including warm dark matter and galactic
outflows. We undertake a detailed comparison of the simulations to high
resolution, high signal-to-noise observations of the Lyman-alpha forest over
the redshift range 2 < z < 5. The simulations are in very good agreement with
the observational data, lending further support to the paradigm that the
Lyman-alpha forest is a natural consequence of the web-like distribution of
matter arising in LCDM cosmological models. Only a small number of minor
discrepancies remain with respect to the observational data. Saturated
Lyman-alpha absorption lines with column densities N_HI > 10^14.5 cm^-2 at 2 <
z < 2.5 are underpredicted in the models. An uncertain correction for continuum
placement bias is required to match the distribution and power spectrum of the
transmitted flux, particularly at z > 4. Finally, the temperature of
intergalactic gas in the simulations may be slightly too low at z=2.7 and a
flatter temperature-density relation is required at z=2.4, consistent with the
expected effects of non-equilibrium ionisation during He-II reionisation.


title:
Percolation via combined electrostatic and chemical doping in complex
  oxide films

abstract:
  Stimulated by experimental advances in electrolyte gating methods, we
investigate theoretically percolation in thin films of inhomogenous complex
oxides, such as La$_{1-x}$Sr$_{x}$CoO$_{3}$ (LSCO), induced by a combination of
bulk chemical and surface electrostatic doping. Using numerical and analytical
methods, we identify two mechanisms that describe how bulk dopants reduce the
amount of electrostatic surface charge required to reach percolation: (i)
bulk-assisted surface percolation, and (ii) surface-assisted bulk percolation.
We show that the critical surface charge strongly depends on the film thickness
when the film is close to the chemical percolation threshold. In particular,
thin films can be driven across the percolation transition by modest surface
charge densities \emph{via} surface-assisted bulk percolation. If percolation
is associated with the onset of ferromagnetism, as in LSCO, we further
demonstrate that the presence of critical magnetic clusters extending from the
film surface into the bulk results in considerable volume enhancement of the
saturation magnetization, with pronounced experimental consequences. These
results should significantly guide experimental work seeking to verify
gate-induced percolation transitions in such materials.


title: Quasi-exotic open-flavor mesons

abstract:
  Meson states with exotic quantum numbers arise naturally in a covariant
bound-state framework in QCD. We investigate the consequences of shifting quark
masses such that the states are no longer restricted to certain C-parities, but
only by J^P. Then, a priori, one can no longer distinguish exotic or
conventional states. In order to identify signatures of the different states to
look for experimentally, we provide the behavior of masses, leptonic decay
constants, and orbital-angular-momentum decomposition of such mesons, as well
as the constellations in which they could be found. Most prominently, we
consider the case of charged quasi-exotic excitations of the pion.


title: Influence of disordered edges on transport properties in graphene

abstract:
  The influence of plasma etched sample edges on electrical transport and
doping is studied. Through electrical transport measurements the overall doping
and mobility are analyzed for mono- and bilayer graphene samples. As a result
the edge contributes strongly to the overall doping of the samples. Furthermore
the edge disorder can be found as the main limiting source of the mobility for
narrow samples.


title:
Stable determination outside a cloaking region of two time-dependent
  coefficients in an hyperbolic equation from Dirichlet to Neumann map

abstract:
  In this paper, we treat the inverse problem of determining two time-dependent
coefficients appearing in a dissipative wave equation, from measured Neumann
boundary observations. We establish in dimension $n\geq 2$, stability estimates
with respect to the Dirichlet-to-Neumann map of these coefficients provided
that are known outside a cloaking regions. Moreover, we prove that it can be
stably recovered in larger subsets of the domain by enlarging the set of data


title:
The intrinsic abundance ratio and X-factor of CO isotopologues in L1551
  shielded from FUV photodissociation

abstract:
  L1551 is chosen because it is relatively isolated in the Taurus molecular
cloud shielded from FUV photons, providing an ideal environment for studying
the target properties. Our observations cover ~40'x40' with resolution ~30",
which are the maps with highest spatial dynamical range to date. We derive the
X(13CO)/X(C18O) value on the sub-parsec scales in the range of ~3-27 with a
mean value of 8.0+-2.8. Comparing to the visual extinction map derived from the
Herschel observations, we found that the abundance ratio reaches its maximum at
low Av (i.e., Av ~ 1-4mag), and decreases to the typical solar system value of
5.5 inside L1551 MC. The high X(13CO)/X(C18O) value at the boundary of the
cloud is most likely due to the selective FUV photodissociation of C18O. This
is in contrast with Orion-A where its internal OB stars keep the abundance
ratio at a high level greater than ~10. In addition, we explore the variation
of the X-factor, because it is an uncertain but widely used quantity in
extragalactic studies. We found that X-factor is proportional to N(H2)^1.0
which is consistent with previous simulations. Excluding the high density
region, the average X-factor is similar to the Milky Way average value.


title:
A constrained L1 minimization approach for estimating multiple Sparse
  Gaussian or Nonparanormal Graphical Models

abstract:
  Identifying context-specific entity networks from aggregated data is an
important task, arising often in bioinformatics and neuroimaging.
Computationally, this task can be formulated as jointly estimating multiple
different, but related, sparse Undirected Graphical Models (UGM) from
aggregated samples across several contexts. Previous joint-UGM studies have
mostly focused on sparse Gaussian Graphical Models (sGGMs) and can't identify
context-specific edge patterns directly. We, therefore, propose a novel
approach, SIMULE (detecting Shared and Individual parts of MULtiple graphs
Explicitly) to learn multi-UGM via a constrained L1 minimization. SIMULE
automatically infers both specific edge patterns that are unique to each
context and shared interactions preserved among all the contexts. Through the
L1 constrained formulation, this problem is cast as multiple independent
subtasks of linear programming that can be solved efficiently in parallel. In
addition to Gaussian data, SIMULE can also handle multivariate Nonparanormal
data that greatly relaxes the normality assumption that many real-world
applications do not follow. We provide a novel theoretical proof showing that
SIMULE achieves a consistent result at the rate O(log(Kp)/n_{tot}). On multiple
synthetic datasets and two biomedical datasets, SIMULE shows significant
improvement over state-of-the-art multi-sGGM and single-UGM baselines.


title: Coulomb charging energy of vacancy-induced states in graphene

abstract:
  Vacancies in graphene have been proposed to give rise to $\pi$-like magnetism
in carbon materials, a conjecture which has been supported by recent
experimental evidence. A key element in this "vacancy magnetism" is the
formation of magnetic moments in vacancy-induced electronic states. In this
work we compute the charging energy $U$ of a single-vacancy generated localized
state for bulk graphene and graphene ribbons. We use a tight-binding model to
calculate the dependency of the charging energy $U$ on the amplitudes of the
localized wave function on the graphene lattice sites. We show that for bulk
graphene $U$ scales with the system size $L$ as $(\ln L)^{-2}$, confirming the
predictions in the literature, based on heuristic arguments. In contrast, we
find that for realistic system sizes $U$ is of the order of eV, a value that is
orders of magnitude higher than the previously reported estimates. Finally,
when edges are considered, we show that $U$ is very sensitive to the vacancy
position with respect to the graphene flake boundaries. In the case of armchair
nanoribbons, we find a strong enhancement of $U$ in certain vacancy positions
as compared to the value for vacancies in bulk graphene.


title: Topological dynamics of piecewise {\lambda}-affine maps

abstract:
  Let $-1<\lambda<1$ and $f:[0,1)\to\mathbb{R}$ be a piecewise $\lambda$-affine
map, that is, there exist points $0=c_0<c_1<\cdots <c_{n-1}<c_n=1$ and real
numbers $b_1,\ldots,b_n$ such that $f(x)=\lambda x+b_i$ for every $x\in
[c_{i-1},c_i)$. We prove that, for Lebesgue almost every $\delta\in\mathbb{R}$,
the map $f_{\delta}=f+\delta\,({\rm mod}\,1)$ is asymptotically periodic. More
precisely, $f_{\delta}$ has at most $2n$ periodic orbits and the $\omega$-limit
set of every $x\in [0,1)$ is a periodic orbit.


title: Nonparametric hierarchical Bayesian quantiles

abstract:
  Here we develop a method for performing nonparametric Bayesian inference on
quantiles. Relying on geometric measure theory and employing a Hausdorff base
measure, we are able to specify meaningful priors for the quantile while
treating the distribution of the data otherwise nonparametrically. We further
extend the method to a hierarchical model for quantiles of subpopulations,
linking subgroups together solely through their quantiles. Our approach is
computationally straightforward, allowing for censored and noisy data. We
demonstrate the proposed methodology on simulated data and an applied problem
from sports statistics, where it is observed to stabilize and improve inference
and prediction.