title: Effective Multi-Higgs Couplings to Gluons

abstract:
  Standard-Model Higgs bosons are dominantly produced via the gluon-fusion
mechanism $gg \to H$ at the LHC, i.e. in a loop-mediated process with top loops
providing the dominant contribution. For the measured Higgs boson mass of $\sim
125$ GeV the limit of heavy top quarks provides a reliable approximation as
long as the relative QCD corrections are scaled with the full mass-dependent LO
cross section. In this limit the Higgs coupling to gluons can be described by
an effective Lagrangian. The same approach can also be applied to the coupling
of more than one Higgs boson to gluons. We will derive the effective Lagrangian
for multi-Higgs couplings to gluons up to N$^4$LO thus extending previous
results for more than one Higgs boson. Moreover we discuss gluonic Higgs
couplings up to NNLO, if several heavy quarks contribute.


title:
On the modularity of elliptic curves over a composite field of some real
  quadratic fields

abstract:
  Let $K$ be a composite field of some real quadratic fields. We give a
sufficient condition on $K$ such that all elliptic curves over $K$ is modular.


title: On profinite subgroups of an algebraic group over a local field

abstract:
  The purpose of this paper is to link anisotropy properties of an algebraic
group together with compactness issues in the topological group of its rational
points. We nd equivalent conditions on a smooth ane algebraic group scheme over
a non-Archimedean local eld for the associated rational points to admit maximal
compact subgroups. We use the structure theory of pseudo-reductive groups
provided, whatever the characteristic, by Conrad, Gabber and Prasad. We also
investigate thoroughly maximal prop subgroups in the semisimple case, using
Bruhat-Tits theory.


title:
The $\epsilon$-expansion of the codimension two twist defect from
  conformal field theory

abstract:
  We apply the framework of Rychkov-Tan arXiv:1505.00963 to the codimension two
twist defect at the Wilson-Fisher fixed point in $4-\epsilon$ dimensions. We
obtain the scaling dimensions of the operators on the defect up to the lowest
nontrivial order in the $\epsilon$-expansion without using Feynman diagram
computation. Our results agree with the known results.


title: Formal local homology

abstract:
  We introduce a concept of formal local homology modules which is in some
sense dual to P. Schenzel's concept of formal local cohomology modules. The
dual theorem and the non-vanishing theorem of formal local homology modules
will be shown. We also give some conditions for formal local homology modules
being finitely generated or artinian.


title:
Electrical control of deep NV centers in diamond by means of
  sub-superficial graphitic micro-electrodes

abstract:
  The control of the charge state of nitrogen-vacancy (NV) centers in diamond
is of primary importance for the stabilization of their quantum-optical
properties, in applications ranging from quantum sensing to quantum computing.
To this purpose, in this work current-injecting micro-electrodes were
fabricated in bulk diamond for NV charge state control. Buried (i.e. 3 {\mu}m
in depth) graphitic micro-electrodes with spacing of 9 {\mu}m were created in
single-crystal diamond substrates by means of a 6 MeV C scanning micro-beam.
The high breakdown field of diamond was exploited to electrically control the
variation in the relative population of the negative (NV-) and neutral (NV0)
charge states of sub-superficial NV centers located in the inter- electrode gap
regions, without incurring into current discharges. Photoluminescence spectra
acquired from the biased electrodes exhibited an electrically induced increase
up to 40% in the NV- population at the expense of the NV0 charge state. The
variation in the relative charge state populations showed a linear dependence
from the injected current at applied biases smaller than 250 V, and was
interpreted as the result of electron trapping at NV sites, consistently with
the Space Charge Limited Current interpretation of the abrupt current increase
observed at 300 V bias voltage. In correspondence of such trap-filling-induced
transition to a high-current regime, a strong electroluminescent emission from
the NV0 centers was observed. In the high-current-injection regime, a decrease
in the NV- population was observed, in contrast with the results obtained at
lower bias voltages. These results disclose new possibilities in the electrical
control of the charge state of NV centers located in the diamond bulk, which
are characterized by longer spin coherence times.


title:
Injectivity theorems with multiplier ideal sheaves for higher direct
  images under K"ahler morphisms

abstract:
  The purpose of this paper is to establish injectivity theorems for higher
direct image sheaves of canonical bundles twisted by pseudo-effective line
bundles and multiplier ideal sheaves. As applications, we generalize Koll'ar's
torsion freeness and Grauert-Riemenschneider's vanishing theorem. Moreover, we
obtain a relative vanishing theorem of Kawamata-Viehweg-Nadel type and an
extension theorem for holomorphic sections from fibers of morphisms to the
ambient space. Our approach is based on transcendental methods and works for
K"ahler morphisms and singular hermitian metrics with non-algebraic
singularities.


title:
Variational calculus on Wiener space with respect to conditional
  expectations

abstract:
  We give a variational formulation for
$-\log\mathbb{E}_\nu\left[e^{-f}|\mathcal{F}_t\right]$ for a large class of
measures $\nu$. We give a refined entropic characterization of the
invertibility of some perturbations of the identity. We also discuss the
attainability of the infimum in the variational formulation and obtain a
Pr\'ekopa-Leindler theorem for conditional expectations.


title:
Non-zero $\theta_{13}$ with Unbroken $\mu-\tau$ Symmetry of the Active
  Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino

abstract:
  We revisit the possibility of generating non-zero reactor mixing angle in a
scenario where there is a sterile neutrino at the eV scale apart from the usual
three sub-eV scale active neutrinos. We show that the $3\times3$ active
neutrino mass matrix can possess a $\mu-\tau$ symmetry and can still be
consistent with non-zero value of the reactor mixing angle $\theta_{13}$, if
this $\mu-\tau$ symmetry is broken in the sterile neutrino sector. We first
propose a simple model based on the discrete flavour symmetry $A_4 \times Z_3
\times Z^{\prime}_3$ to realise such a scenario and then numerically evaluate
the complete $3+1$ neutrino parameter space that allows such a possibility. We
show that, such a possibility of generating non-zero $\theta_{13}$ can in
general, remain valid even if the present $3+1$ neutrino global fit data get
ruled out by future experiments. We also discuss the possible implications at
neutrinoless double beta decay $(0\nu \beta \beta)$ experiments in view of the
latest results from KamLAND-Zen experiment.


title:
Megahertz FDML Laser with up to 143nm Sweep Range for Ultrahigh
  Resolution OCT at 1050nm

abstract:
  We present a new design of a Fourier Domain Mode Locked laser (FDML laser),
which provides a new record in sweep range at ~1um center wavelength: At the
fundamental sweep rate of 2x417 kHz we reach 143nm bandwidth and 120nm with 4x
buffering at 1.67MHz sweep rate. The latter configuration of our system is
characterized: The FWHM of the point spread function (PSF) of a mirror is 5.6um
(in tissue). Human in vivo retinal imaging is performed with the MHz laser
showing more details in vascular structures. Here we could measure an axial
resolution of 6.0um by determining the FWHM of specular reflex in the image.
Additionally, challenges related to such a high sweep bandwidth such as water
absorption are investigated.


title:
Lattice Thermal Conductivity of NiTiSn Half-Heusler Thermoelectric
  Materials from First-Principles Calculations

abstract:
  The microscopic physics behind the lattice thermal conductivity of NiTiSn is
investigated using first-principles-based anharmonic lattice dynamics. The
calcu lated lattice thermal conductivity of bulk materials (5.3 W/m.K) is in
good agreement with the experimental value at the optimal working temper ature
(700 K), but is overestimated below this temperature. The calculated values can
be strongly affected by the size of the crystalline grains. We show tha t the
lattice thermal conductivity is dominated by the acoustic (transverse and
mostly longitudinal) modes with no contribution from the optical modes. The a
coustic phonons are located below 150 cm-1 and involve mainly the tin atoms.
The calculated mean free path of the most heat carrying phonons is around f
ifty nanometers with a maximum life time of approx. 100 ps. These theoretical
results are a step forward in developing the experimental design of low thermal
conductivity NiTiSn Heusler based materials.


title: Gelfand Numbers of Embeddings of Mixed Besov Spaces

abstract:
  Gelfand numbers represent a measure for the information complexity which is
given by the number of information needed to approximate functions in a subset
of a normed space with an error less than $\varepsilon$. More precisely,
Gelfand numbers coincide up to the factor 2 with the minimal error $ e^{\rm
wor}(n,\Lambda^{\rm all})$ which describes the error of the optimal
(non-linear) algorithm that is based on $n$ arbitrary linear functionals. This
explain the crucial role of Gelfand numbers in the study of approximation
problems. Let $S^t_{p_1,p_1}B((0,1)^d)$ be the Besov spaces with dominating
mixed smoothness on $(0,1)^d$. In this paper we consider the problem ${\rm
App}: S^t_{p_1,p_1}B((0,1)^d) \to L_{p_2}((0,1)^d)$ and investigate the
asymptotic behaviour of Gelfand numbers of this embedding. We shall give the
correct order of convergence of Gelfand numbers in almost all cases. In
addition we shall compare these results with the known behaviour of
approximation numbers which coincide with $ e^{\rm wor-lin}(n,\Lambda^{\rm
all})$ when we only allow linear algorithms.


title: Spectrum of deformed random matrices and free probability

abstract:
  The aim of this paper is to show how free probability theory sheds light on
spectral properties of deformed matricial models and provides a unified
understanding of various asymptotic phenomena such as spectral measure
description, localization and fluctuations of extremal eigenvalues,
eigenvectors behaviour.


title: On the abelianity of the stochastic sandpile model

abstract:
  We consider a stochastic variant of the Abelian Sandpile Model (ASM) on a
finite graph, introduced by Chan, Marckert and Selig. Even though it is a more
general model, some nice properties still hold. We show that on a certain
probability space, even if we lose the group structure due to topplings not
being deterministic, some operators still commute. As a corollary, we show that
the stationary distribution still does not depend on how sand grains are added
onto the graph in our model, answering a conjecture of Selig.


title:
Lattice Boltzmann Simulations of Droplet formation in confined Channels
  with Thermocapillary flows

abstract:
  Based on mesoscale lattice Boltzmann simulations with the "Shan-Chen" model,
we explore the influence of thermocapillarity on the break-up properties of
fluid threads in a microfluidic T-junction, where a dispersed phase is injected
perpendicularly into a main channel containing a continuous phase, and the
latter induces periodic break-up of droplets due to the cross-flowing.
Temperature effects are investigated by switching on/off both positive/negative
temperature gradients along the main channel direction, thus promoting a
different thread dynamics with anticipated/delayed break-up. Numerical
simulations are performed at changing the flow-rates of both the continuous and
dispersed phases, as well as the relative importance of viscous forces, surface
tension forces and thermocapillary stresses. The range of parameters is broad
enough to characterize the effects of thermocapillarity on different mechanisms
of break-up in the confined T-junction, including the so-called "squeezing" and
"dripping" regimes, previously identified in the literature. Some simple
scaling arguments are proposed to rationalize the observed behaviour, and to
provide quantitative guidelines on how to predict the droplet size after
break-up.


title:
Automated bar detection in local disc galaxies from the SDSS - The
  colors of bars

abstract:
  This paper describes an automatic isophotal fitting procedure that succeeds,
without the support of any visual inspection of neither the images nor the
ellipticity/P.A. radial profiles, at extracting a fairly pure sample of barred
LTGs among thousands of optical images from the SDSS. The procedure relies on
the methods described in Consolandi et al. (2016) to robustly extract the
photometrical properties of a large sample of local SDSS galaxies and is
tailored to extract bars on the basis of their well-known peculiarities in
their P.A. and ellipticity profiles. It has been run on a sample of 5853
galaxies in the Coma and Local supercluster. The procedure extracted for each
galaxy a color, an ellipticity and a position angle radial profile of the
ellipses fitted to the isophotes. Examining automatically the profiles of 922
face-on late-type galaxies (B/A >0.7) the procedure found that ~ 36 % are
barred. The local bar fraction strongly increases with stellar mass. The sample
of barred galaxies is used to construct a set of template radial color profiles
in order to test the impact of the barred galaxy population on the average
color profiles shown by Consolandi et al. (2016) and to test the bar-quenching
scenario proposed in Gavazzi et al. (2015). The radial color profile of barred
galaxy shows that bars are on average redder than their surrounding disk
producing an outside-in gradient toward red in correspondence of their
corotation radius. The distribution of the extension of the deprojected length
of the bar suggests that bars have strong impacts on the gradients of averaged
color profiles. The dependence of the profiles on the mass is consistent with
the bar-quenching scenario, i.e. more massive barred galaxies have redder
colors (hence older stellar population and suppressed star formation) inside
their corotation radius with respect to their lower mass counterparts.


title:
Structural stability of bang-bang trajectories with a double switching
  time in the minimum time problem

abstract:
  In this paper we consider the problem of structural stability of strong local
optimisers for the minimum time problem in the case when the nominal problem
has a bang-bang strongly local optimal control which exhibits a double switch.


title: The N\'eron-Severi Lie Algebra of a Soergel Module

abstract:
  We introduce the N\'eron-Severi Lie algebra of a Soergel module and we
determine it for a large class of Schubert varieties. This is achieved by
investigating which Soergel modules admit a tensor decomposition. We also use
the N\'eron-Severi Lie algebra to provide an easy proof of the well-known fact
that a Schubert variety is rationally smooth if and only if its Betti numbers
satisfy Poincar\'e duality.


title: Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?

abstract:
  In this work, we perform a dynamical study of the $B^{(*)}$ and $\bar K$
interaction and show that the newly reported $X(5568)$ or $X(5616)$ cannot be
assigned to be an isovector $B\bar{K}$ or $B^*\bar{K}$ molecular state. We
continue to investigate the isoscalar $B^{(*)}\bar{K}$ systems, and the
$B^{(*)}\bar{K}$ systems with isospin $I=0,1$, and predict the existence of
several isoscalar $B^{(*)}\bar K^{(*)}$ molecular states. A new task of
exploring open-bottom molecular states will be created for future experiments.


title:
Revisit of the interacting holographic dark energy model after Planck
  2015

abstract:
  We investigate the observational constraints on the interacting holographic
dark energy model. We consider five typical interacting models with the
interaction terms $Q=3\beta H\rho_{\rm{de}}$, $Q=3\beta H\rho_{\rm{c}}$,
$Q=3\beta H(\rho_{\rm{de}}+\rho_{\rm c})$, $Q=3\beta
H\sqrt{\rho_{\rm{de}}\rho_{\rm c}}$, and $Q=3\beta
H\frac{\rho_{\rm{de}}\rho_{c}}{\rho_{\rm{de}}+\rho_{\rm c}}$, respectively,
where $\beta$ is a dimensionless coupling constant. The observational data we
use in this paper include the JLA compilation of type Ia supernovae data, the
Planck 2015 distance priors data of cosmic microwave background observation,
the baryon acoustic oscillations measurements, and the Hubble constant direct
measurement. We make a comparison for these five interacting holographic dark
energy models by employing the information criteria, and we find that, within
the framework of holographic dark energy, the $Q=3\beta
H\frac{\rho_{\rm{de}}\rho_{\rm c}}{\rho_{\rm{ de}}+\rho_{\rm c}}$ model is most
favored by current data, and the $Q=3\beta H\rho_{\rm c}$ model is relatively
not favored by current data. For the $Q=3\beta H\rho_{\rm{de}}$ and $Q=3\beta
H\frac{\rho_{\rm{de}}\rho_{\rm c}}{\rho_{\rm{ de}}+\rho_{\rm c}}$ models, a
positive coupling $\beta$ can be detected at more than 2$\sigma$ significance.


title:
Perturbation Analysis of Singular Semidefinite Programs and Its
  Applications to Control Problems

abstract:
  We consider sensitivity of a semidefinite program under perturbations in the
case that the primal problem is strictly feasible and the dual problem is
weakly feasible. When the coefficient matrices are perturbed, the optimal
values can change discontinuously as explained in concrete examples. We show
that the optimal value of such a semidefinite program changes continuously
under conditions involving the behavior of the minimal faces of the perturbed
dual problems. In addition, we determine what kinds of perturbations keep the
minimal faces invariant, by using the reducing certificates, which are produced
in facial reduction. Our results allow us to classify the behavior of the
minimal face of a semidefinite program obtained from a control problem.


title: Charmed Mesons and Charmonia: Three-Meson Strong Couplings

abstract:
  Revisiting the strong couplings of three mesons, each of which involves at
least one charm quark, proves clear disaccord between quark-model and QCD
sum-rule results.


title:
The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized
  quark model

abstract:
  We investigate the masses of $cs \bar c \bar s$ tetraquark states in a
diquark-antidiquark picture employing the relativized quark model proposed by
Godfrey and Isgur. Only the antitriplet diquark states in color space are
calculated. The diquark masses are obtained with the relativized potential
firstly, and then the diquark and antidiquark are treated as the usual
antiquark and quark, respectively, and the masses of the tetraquark states are
obtained by solving the Schr\"{o}dinger equation with the relativized potential
between the diquark and antidiquark. The theoretical uncertainties induced by
screening effects are also taken into account. It is found that the resonance
of $X(4140)$ can be regarded as the $cs \bar c \bar s$ tetraquark ground
states, and the $X(4700)$ can be assigned as the $2S$ excited tetraquark state.
When the internal excited diquarks are taken into account, the resonance of
$X(4500)$ can be explained as the tetraquark composed of one $2S$ scalar
diquark and one scalar antidiquark. In our approach, the $X(4274)$ cannot be
explained as a tetraquark state, however, it can be a good candidate of the
conventional $\chi_{c1}(3^3P_1)$ state. In addition, other charmonium-like
states $\chi_{c0}(3915)$, $X(4350)$, $X(4630)$ and $X(4660)$, as the $cs \bar c
\bar s$ tetraquark states, are also discussed.


title:
NLO electroweak corrections to off-shell top-antitop production with
  leptonic decays at the LHC

abstract:
  For the first time the next-to-leading-order electroweak corrections to the
full off-shell production of two top quarks that decay leptonically are
presented. This calculation includes all off-shell, non-resonant, and
interference effects for the 6-particle phase space. While the electroweak
corrections are below one per cent for the integrated cross section, they reach
up to 15% in the high-transverse-momentum region of distributions. To support
the results of the complete one-loop calculation, we have in addition evaluated
the electroweak corrections in two different pole approximations, one requiring
two on-shell top quarks and one featuring two on-shell W bosons. While the
former deviates by up to 10% from the full calculation for certain
distributions, the latter provides a very good description for most
observables. The increased centre-of-mass energy of the LHC makes the inclusion
of electroweak corrections extremely relevant as they are particularly large in
the Sudakov regime where new physics is expected to be probed.


title: Smoothing the payoff for efficient computation of Basket option prices

abstract:
  We consider the problem of pricing basket options in a multivariate Black
Scholes or Variance Gamma model. From a numerical point of view, pricing such
options corresponds to moderate and high dimensional numerical integration
problems with non-smooth integrands. Due to this lack of regularity, higher
order numerical integration techniques may not be directly available, requiring
the use of methods like Monte Carlo specifically designed to work for
non-regular problems. We propose to use the inherent smoothing property of the
density of the underlying in the above models to mollify the payoff function by
means of an exact conditional expectation. The resulting conditional
expectation is unbiased and yields a smooth integrand, which is amenable to the
efficient use of adaptive sparse grid cubature. Numerical examples indicate
that the high-order method may perform orders of magnitude faster compared to
Monte Carlo or Quasi Monte Carlo in dimensions up to 35.


title:
Combining Random Walks and Nonparametric Bayesian Topic Model for
  Community Detection

abstract:
  Community detection has been an active research area for decades. Among all
probabilistic models, Stochastic Block Model has been the most popular one.
This paper introduces a novel probabilistic model: RW-HDP, based on random
walks and Hierarchical Dirichlet Process, for community extraction. In RW-HDP,
random walks conducted in a social network are treated as documents; nodes are
treated as words. By using Hierarchical Dirichlet Process, a nonparametric
Bayesian model, we are not only able to cluster nodes into different
communities, but also determine the number of communities automatically. We use
Stochastic Variational Inference for our model inference, which makes our
method time efficient and can be easily extended to an online learning
algorithm.


title:
Optimal control of infinite-dimensional piecewise deterministic Markov
  processes and application to the control of neuronal dynamics via
  Optogenetics

abstract:
  In this paper we define an infinite-dimensional controlled piecewise
deterministic Markov process (PDMP) and we study an optimal control problem
with finite time horizon and unbounded cost. This process is a coupling between
a continuous time Markov Chain and a set of semilinear parabolic partial
differential equations, both processes depending on the control. We apply
dynamic programming to the embedded Markov decision process to obtain existence
of optimal relaxed controls and we give some sufficient conditions ensuring the
existence of an optimal ordinary control. This study, which constitutes an
extension of controlled PDMPs to infinite dimension, is motivated by the
control that provides Optogenetics on neuron models such as the Hodgkin-Huxley
model. We define an infinite-dimensional controlled Hodgkin-Huxley model as an
infinite-dimensional controlled piecewise deterministic Markov process and
apply the previous results to prove the existence of optimal ordinary controls
for a tracking problem.


title: Increasing the sensitivity of a Shack-Hartmann sensor

abstract:
  The Max-Planck institutes for astronomy (MPIA) and for extraterrestrial
physics (MPE) run an adaptive optics (AO) system with a laser guide star at the
3.5 m telescope on Calar Alto, Spain. This system, called ALFA, produces now
scientific results and works ex- cellent with natural guide stars (NGS) as
faint as 13th magnitude in R-band. The ultimate goal however is to achieve
similar performances with the laser guide star (LGS) which is faint and
extended. We introduce the Shack-Hartmann wavefront sensor implemented in ALFA
and present our efforts in increasing its sensitivity by using advanced
centroiding and wavefront reconstruction algorithms.


title: The freedom to choose neutron star magnetic field equilibria

abstract:
  Our ability to interpret and glean useful information from the large body of
observations of strongly magnetised neutron stars rests largely on our
theoretical understanding of magnetic field equilibria. We answer the following
question: is one free to arbitrarily prescribe magnetic equilibria such that
fluid degrees of freedom can balance the equilibrium equations? We examine this
question for various models for neutron star matter; from the simplest
single-fluid barotrope to more realistic non-barotropic multifluid models with
superfluid/superconducting components, muons and entropy. We do this for both
axi- and non-axisymmetric equilibria, and in Newtonian gravity and general
relativity. We show that, in axisymmetry, the most realistic model allows
complete freedom in choosing a magnetic field equilibrium whereas
non-axisymmetric equilibria are never completely arbitrary.


title: Neutrino Oscillations with Nil Mass

abstract:
  An alternative neutrino oscillation process is presented as a counterexample
for which the neutrino may have nil mass consistent with the standard model.
The process is developed in a quantum trajectories representation of quantum
mechanics, which has a Hamilton-Jacobi foundation. This process has no need for
mass differences between mass eigenstates. Flavor oscillations and
$\bar{\nu},\nu$ oscillations are examined.


title: Local null-controllability of the 2-D Vlasov-Navier-Stokes system

abstract:
  We prove a null controllability result for the Vlasov-Navier-Stokes system,
which describes the interaction of a large cloud of particles immersed in a
fluid. We show that one can modify both the distribution of particles and the
velocity field of the fluid from any initial state to the zero steady state, by
means of an internal control. Indeed, we can modify the non-linear dynamics of
the system in order to absorb the particles and let the fluid at rest. The
proof is achieved thanks to the return method and a Leray-Schauder fixed-point
argument.


title:
Maximally localized states and quantum corrections of black hole
  thermodynamics in the extreme case with an improved exponential GUP

abstract:
  We have introduced an improved exponential GUP, derived the maximally
localized states, calculated quantum corrections to the thermodynamic
quantities of the Schwardzschild black hole in our previous work. In this paper
we continue to investigate how the maximally localized states and thermodynamic
quantities such as Hawking temperature, the entropy, the heat capacity, the
evaporation rate, and the decay time change in the extreme case that the
integer n in our GUP rises to infinity.


title:
Refined Characterization of Lattice Chern Insulators by Bulk
  Entanglement Spectrum

abstract:
  We have studied extensively the band crossing patterns of the bulk
entanglement spectrum (BES) for various lattice Chern insulators. We find that
only partitions with dual symmetry can have either stable nodal-lines or
nodal-points in the BES when the system is in the topological phase of a
nonzero Chern number. By deforming the Hamiltonian to lift the accidental
symmetry, one can see that only nodal points are robust. They thus should bear
certain topological characteristics of the BES. By studying the band crossing
patterns in details we conclude that the topological characteristics of the BES
are inherited from the topological order of the underlying Chern insulators and
the former can have more refined topological structures. We then propose the
conjecture that the sum of the vorticities in the BES in a properly chosen
reduced Brillouin zone equals the Chern number of the underlying Chern
insulator. This relation is beyond the usual classification scheme of
topological insulators/superconductors.


title:
Correlation of magnetic moments and angular momenta for stars and
  planets

abstract:
  The observed correlation of the angular momenta $L^{ik}$ and magnetic moments
$\mu_{lm}$ of celestial bodies (the Sun, planets and stars) was discussed by
many authors but without any explanation. In this paper a possible explanation
of this phenomenon is suggested. It is shown that the function $\Phi_{lm}
=(\eta/r_g)L^{ik}R_{iklm}$ satisfy Maxwell equations and can be considered as a
function which determine the electro-magnetic properties of rotating heavy
bodies. The $R_{iklm}$ is the Riemann tensor, which determines the
gravitational field of the body, $r_g$ is the gravitational radius of the body,
and $\eta$ is the constant which has to be determined by observations. The
field $\Phi_{lm}$ describe the observed $\mu \leftrightarrow L$ correlation. In
particular the function $\Phi_{l0}$ describe the electric field created by
rotating heavy bodies. It is possible that the observed electric field of the
Earth is created by the Earth rotation


title: Generalized model for anisotropic compact stars

abstract:
  In the present investigation an exact generalized model for anisotropic
compact stars of embedding class one is sought for under general relativistic
background. The generic solutions are verified by exploring different physical
aspects, viz. energy conditions, mass-radius relation, stability of the models,
in connection to their validity. It is observed that the model present here for
compact stars is compatible with all these physical tests and thus physically
acceptable as far as the compact star candidates $RXJ~1856-37$,
$SAX~J~1808.4-3658~(SS1)$ and $SAX~J~1808.4-3658~(SS2)$ are concerned.


title:
A New f(R) Model in the Light of Local Gravity Test and Late-time
  Cosmology

abstract:
  We propose a new model of f(R) gravity containing Arctan function in the
lagrangian. We show here that this model satisfies fifth force constraint
unlike a similar model in Kruglov 2013. In addition to this, we carry out the
fixed point analysis as well as comment on the existence of curvature
singularity in this model. The cosmological evolution for this f(R) gravity
model is also analyzed in the Freidmann Robertson Walker(FRW) background. To
understand observational significance of the model, cosmological parameters are
obtained numerically and compared with those of Lambda cold dark matter
({\Lambda}CDM) model. We also scrutinize the model with supernova data. We
apply Om diagnostic given by Sahni et al. 2008 to the model. Using this
diagnostic, we detect the distinction between cosmic evolution caused by the
f(R) model and {\Lambda}CDM. We find best-fit parameter values of the model
using Baryon Acoustic Oscillations data.


title: Uncertainty Quantification for PDEs with Anisotropic Random Diffusion

abstract:
  In this article, we consider elliptic diffusion problems with an anisotropic
random diffusion coefficient. We model the notable direction in terms of a
random vector field and derive regularity results for the solution's dependence
on the random parameter. It turns out that the decay of the vector field's
Karhunen-Loeve expansion entirely determines this regularity. The obtained
results allow for sophisticated quadrature methods, such as the quasi-Monte
Carlo method or the anisotropic sparse grid quadrature, in order to approximate
quantities of interest, like the solution's mean or the variance. Numerical
examples in three spatial dimensions are provided to supplement the presented
theory.


title: Multiple positive solutions to elliptic boundary blow-up problems

abstract:
  We prove the existence of multiple positive radial solutions to the
sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll}
\Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, &
\; \vert x \vert < 1, \\ u(x) \to \infty, & \; \vert x \vert \to 1, \end{array}
\right. \] where $g$ is a function superlinear at zero and at infinity, $a^+$
and $a^-$ are the positive/negative part, respectively, of a sign-changing
function $a$ and $\mu > 0$ is a large parameter. In particular, we show how the
number of solutions is affected by the nodal behavior of the weight function
$a$. The proof is based on a careful shooting-type argument for the equivalent
singular ODE problem. As a further application of this technique, the existence
of multiple positive radial homoclinic solutions to $$ \Delta u +
\bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, \qquad x \in
\mathbb{R}^N, $$ is also considered.


title:
Weighted vector-valued bounds for the singular integral operators with
  nonsmooth kernels

abstract:
  Let $T$ be a singular integral operator with non-smooth kernel which were
introduced by Duong and McIntosh. In this paper, we prove that this operator
and its corresponding grand maximal operator satisfies certain weak type
endpoint vector-valued estimate of $L\log L$ type. As an application we
established a refined weighted vector-valued bound for this operator.


title: Optimal Water Heater Control in Smart Home Environments

abstract:
  In this work, we develop an optimal water heater control method for a smart
home environment. It is important to notice that unlike battery storage
systems, energy flow in a water heater control system is not reversible. In
order to increase the eigen consumption of photovoltaic energy, i.e. direct
consumption of generated energy in the house, we propose to employ a dynamic
programming approach to optimize heating schedules using forecasted consumption
and weather data. Simulation results demonstrate the capability of our proposed
system in reducing the overall energy cost while maintaining residents'
comfort.


title:
Spin resonance in the superconducting state of
  Li$_{1-x}$Fe$_{x}$ODFe$_{1-y}$Se observed by neutron spectroscopy

abstract:
  We have performed inelastic neutron scattering measurements on a powder
sample of the superconductor lithium iron selenide hydroxide
Li$_{1-x}$Fe$_{x}$ODFe$_{1-y}$Se ($x \simeq 0.16, y \simeq 0.02$, $T_{\rm c} =
41$\,K). The spectrum shows an enhanced intensity below $T_{\rm c}$ over an
energy range $0.64\times2\Delta < E < 2\Delta$, where $\Delta$ is the
superconducting gap, with maxima at the wave vectors $Q_1 \simeq
1.46$\,\AA$^{-1}$ and $Q_2 \simeq 1.97$\,\AA$^{-1}$. The behavior of this
feature is consistent with the spin resonance mode found in other
unconventional superconductors, and strongly resembles the spin resonance
observed in the spectrum of the molecular-intercalated iron selenide,
Li$_{0.6}$(ND$_{2}$)$_{0.2}$(ND$_{3}$)$_{0.8}$Fe$_{2}$Se$_{2}$. The signal can
be described with a characteristic two-dimensional wave vector $(\pi, 0.67\pi)$
in the Brillouin zone of the iron square lattice, consistent with the nesting
vector between electron Fermi sheets.


title: Atomic momentum patterns with narrower interval

abstract:
  We studied the atomic momentum distribution for a superposition of Bloch
states spreading in the lowest band of an optical lattice after the action of
the standing wave pulse. By designing the imposing pulse on this superposed
state, an atomic momentum pattern appears with narrower interval between the
adjacent peaks that can be far less than the double recoil momentum. The
patterns with narrower interval come from the superposition of the action of
the designed pulse on many Bloch states with quasi-momenta over the first
Brillouin zone, where for each quasi-momentum there is an interference among
several lowest bands. Our experimental result of narrow interval peaks is
consistent with the theoretical simulation. The patterns of multi modes with
different quasi-momenta are helpful for precise measurement and atomic
manipulation.


title: The Kalman Filter: a didactical overview

abstract:
  The present document aims at providing a short, didactical introduction to
three standard versions of the Kalman filter, namely its variants identified as
Basic, Extended, and Unscented. The application of these algorithms in three
representative problems is discussed.


title: Detecting supernova neutrinos with iron and lead detectors

abstract:
  Supernova (SN) neutrinos can excite the nuclei of various detector materials
beyond their neutron emission thresholds through charged current (CC) and
neutral current (NC) interactions. The emitted neutrons, if detected, can be a
signal for the supernova event. Here we present the results of our study of SN
neutrino detection through the neutron channel in lead ($^{208} {\rm Pb}$) and
iron ($^{56} {\rm Fe}$) detectors for realistic neutrino fluxes and energies
given by the recent Basel/Darmstadt simulations for a 18 solar mass progenitor
SN at a distance of 10 kpc. We find that, in general, the number of neutrons
emitted per kTon of detector material for the neutrino luminosities and average
energies of the different neutrino species as given by the Basel/Darmstadt
simulations are significantly lower than those estimated in previous studies
based on the results of earlier SN simulations. At the same time, we highlight
the fact that, although the total number of neutrons produced per kTon in a
iron detector is more than an order of magnitude lower than that for lead, the
dominance of the flavor blind NC events in the case of iron, as opposed to
dominance of $\nu_e$ induced CC events in the case of lead, offers a
complementarity between the two detector materials so that simultaneous
detection of SN neutrinos in a lead and a sufficiently large iron detector
suitably instrumented for neutron detection may allow estimating the fraction
of the total $\mu$ and $\tau$ flavored neutrinos in the SN neutrino flux and
thereby probing the emission mechanism as well as flavor oscillation scenarios
of the SN neutrinos.


title:
Can the $ 750\, GeV$ enhancement be a signal of light magnetic
  monopoles?

abstract:
  The announced ~ 3 {\sigma} enhancement in the inclusive {\gamma} {\gamma}
-spectrum at ~ 750 GeV made by the ATLAS and CMS collaborations at LHC might
indicate the existence of a monopole-antimonopole bound state: monopolium. In
here we revisit our calculation of 2012 from a more general perspective and see
that this resonance, if confirmed, might be a first signal of the existence of
magnetic monopoles.


title: The G-invariant spectrum and non-orbifold singularities

abstract:
  We consider the $G$-invariant spectrum of the Laplacian on an orbit space
$M/G$ where $M$ is a compact Riemannian manifold and $G$ acts by isometries. We
generalize the Sunada-Pesce-Sutton technique to the $G$-invariant setting to
produce pairs of isospectral non-isometric orbit spaces. One of these spaces is
isometric to an orbifold with constant sectional curvature whereas the other
admits non-orbifold singularities and therefore has unbounded sectional
curvature. We therefore show that constant sectional curvature and the presence
of non-orbifold singularities are inaudible to the G-invariant spectrum.


title:
Poincar\'e series of compressed local Artinian rings with odd top socle
  degree

abstract:
  We define a notion of compressed local Artinian ring that does not require
the ring to contain a field. Let $(R,\mathfrak m)$ be a compressed local
Artinian ring with odd top socle degree $s$, at least five, and
$\operatorname{socle}(R)\cap \mathfrak m^{s-1}=\mathfrak m^s$. We prove that
the Poincar\'e series of all finitely generated modules over $R$ are rational,
sharing a common denominator, and that there is a Golod homomorphism from a
complete intersection onto $R$.


title:
On the reciprocity law for the twisted second moment of Dirichlet
  $L$-functions

abstract:
  We investigate the reciprocity law, studied by Conrey~\cite{Con07} and
Young~\cite{You11a}, for the second moment of Dirichlet L-functions twisted by
$\chi(a)$ modulo a prime $q$. We show that the error term in this reciprocity
law can be extended to a continuous function of $a/q$ with respect to the real
topology. Furthermore, we extend this reciprocity result, proving an exact
formula involving also shifted moments.
  We also give an expression for the twisted second moment involving the
coefficients of the continued fraction expansion of $a/q$, and, consequently,
we improve upon a classical result of Selberg on the second moment of Dirichlet
L-functions with two twists.
  Finally, we obtain a formula connecting the shifted second moment of the
Dirichlet $L$-functions with the Estermann function. In particular cases, this
result can be used to obtain some simple explicit exact formulae for the
moments.


title:
On Composition and Implementation of Sequential Consistency (Extended
  Version)

abstract:
  It has been proved that to implement a linearizable shared memory in
synchronous message-passing systems it is necessary to wait for a time
proportional to the uncertainty in the latency of the network for both read and
write operations, while waiting during read or during write operations is
sufficient for sequential consistency. This paper extends this result to
crash-prone asynchronous systems. We propose a distributed algorithm that
builds a sequentially consistent shared memory abstraction with snapshot on top
of an asynchronous message-passing system where less than half of the processes
may crash. We prove that it is only necessary to wait when a read/snapshot is
immediately preceded by a write on the same process. We also show that
sequential consistency is composable in some cases commonly encountered: 1)
objects that would be linearizable if they were implemented on top of a
linearizable memory become sequentially consistent when implemented on top of a
sequential memory while remaining composable and 2) in round-based algorithms,
where each object is only accessed within one round.


title: Distributed Construction of Purely Additive Spanners

abstract:
  This paper studies the complexity of distributed construction of purely
additive spanners in the CONGEST model. We describe algorithms for building
such spanners in several cases. Because of the need to simultaneously make
decisions at far apart locations, the algorithms use additional mechanisms
compared to their sequential counterparts.
  We complement our algorithms with a lower bound on the number of rounds
required for computing pairwise spanners. The standard reductions from
set-disjointness and equality seem unsuitable for this task because no specific
edge needs to be removed from the graph. Instead, to obtain our lower bound, we
define a new communication complexity problem that reduces to computing a
sparse spanner, and prove a lower bound on its communication complexity using
information theory. This technique significantly extends the current toolbox
used for obtaining lower bounds for the CONGEST model, and we believe it may
find additional applications.


title:
Near-Field Radiative Heat Transfer Between Metasurfaces: A Full-Wave
  Study Based on 2D Grooved Metal Plates

abstract:
  Metamaterials possess artificial bulk and surface electromagnetic states.
Tamed dispersion properties of surface waves allow one to achieve controllable
super-Planckian radiative heat transfer (RHT) process between two closely
spaced objects. We numerically demonstrate enhanced RHT between two 2D grooved
metal plates by a full-wave scattering approach. The enhancement originates
from both transverse magnetic spoof surface plasmon polaritons and a series of
transverse electric bonding- and anti-bonding waveguide modes at surfaces. The
RHT spectrum is frequency-selective, and highly geometrically tailorable. Our
simulation also reveals thermally excited non-resonant surface waves in
constituent materials can play a prevailing role for RHT at an extremely small
separation between two plates, rendering metamaterial modes insignificant for
the energy transfer process.


title:
Flavon-induced connections between lepton flavour mixing and charged
  lepton flavour violation processes

abstract:
  In leptonic flavour models with discrete flavour symmetries, couplings
between flavons and leptons can result in special flavour structures after they
gain vacuum expectation values. At the same time, they can also contribute to
the other lepton-flavour-violating processes. We study the flavon-induced LFV
3-body charged lepton decays and radiative decays and we take as example the
$A_4$ discrete symmetry. In $A_4$ models, a $Z_3$ residual symmetry roughly
holds in the charged lepton sector for the realisation of tri-bimaximal mixing
at leading order. The only processes allowed by this symmetry are $\tau^-\to
\mu^+ e^- e^-, e^+ \mu^- \mu^-$, and the other 3-body and all radiative decays
are suppressed by small $Z_3$-breaking effects. These processes also depend on
the representation the flavon is in, whether pseudo-real (case i) or complex
(case ii). We calculate the decay rates for all processes for each case and
derive their strong connection with lepton flavour mixing. In case i, sum rules
for the branching ratios of these processes are obtained, with typical examples
$\text{Br}(\tau^-\to \mu^+ e^- e^-) \approx \text{Br}(\tau^-\to e^+ \mu^-
\mu^-)$ and $\text{Br}(\tau^-\to e^- \gamma) \approx \text{Br}(\tau^-\to \mu^-
\gamma)$. In case ii, we observe that the mixing between two $Z_3$-covariant
flavons plays an important role. All processes are suppressed by charged lepton
masses and current experimental constraints allow the electroweak scale and the
flavon masses to be around hundreds of GeV. Our discussion can be generalised
in other flavour models with different flavour symmetries.


title: Gravitomagnetic effect in magnetized neutron stars

abstract:
  Rotating bodies in General Relativity produce frame dragging, also known as
the {\it gravitomagnetic effect} in analogy with classical electromagnetism. In
this work, we study the effect of magnetic field on the gravitomagnetic effect
in neutron stars with poloidal geometry, which is produced as a result of its
rotation. We show that the magnetic field has a non-negligible impact on frame
dragging. The maximum effect of the magnetic field appears along the polar
direction, where the frame-dragging frequency decreases with increase in
magnetic field, and along the equatorial direction, where its magnitude
increases. For intermediate angles, the effect of the magnetic field decreases,
and goes through a minimum for a particular angular value at which magnetic
field has no effect on gravitomagnetism. Beyond that particular angle
gravitomagnetic effect increases with increasing magnetic field. We try to
identify this `null region' for the case of magnetized neutron stars, both
inside and outside, as a function of the magnetic field, and suggest a thought
experiment to find the null region of a particular pulsar using the frame
dragging effect.


title:
An Event Grouping Based Algorithm for University Course Timetabling
  Problem

abstract:
  This paper presents the study of an event grouping based algorithm for a
university course timetabling problem. Several publications which discuss the
problem and some approaches for its solution are analyzed. The grouping of
events in groups with an equal number of events in each group is not applicable
to all input data sets. For this reason, a universal approach to all possible
groupings of events in commensurate in size groups is proposed here. Also, an
implementation of an algorithm based on this approach is presented. The
methodology, conditions and the objectives of the experiment are described. The
experimental results are analyzed and the ensuing conclusions are stated. The
future guidelines for further research are formulated.


title:
Wireless Information and Power Transfer: Nonlinearity, Waveform Design
  and Rate-Energy Tradeoff

abstract:
  The design of Wireless Information and Power Transfer (WIPT) has so far
relied on an oversimplified and inaccurate linear model of the energy
harvester. In this paper, we depart from this linear model and design WIPT
considering the rectifier nonlinearity. We develop a tractable model of the
rectifier nonlinearity that is flexible enough to cope with general
multicarrier modulated input waveforms. Leveraging that model, we motivate and
introduce a novel WIPT architecture relying on the superposition of
multi-carrier unmodulated and modulated waveforms at the transmitter. The
superposed WIPT waveforms are optimized as a function of the channel state
information so as to characterize the rate-energy region of the whole system.
Analysis and numerical results illustrate the performance of the derived
waveforms and WIPT architecture and highlight that nonlinearity radically
changes the design of WIPT. We make key and refreshing observations. First,
analysis (confirmed by circuit simulations) shows that modulated and
unmodulated waveforms are not equally suitable for wireless power delivery,
namely modulation being beneficial in single-carrier transmissions but
detrimental in multi-carrier transmissions. Second, a multicarrier unmodulated
waveform (superposed to a multi-carrier modulated waveform) is useful to
enlarge the rate-energy region of WIPT. Third, a combination of power splitting
and time sharing is in general the best strategy. Fourth, a non-zero mean
Gaussian input distribution outperforms the conventional capacity-achieving
zero-mean Gaussian input distribution in multi-carrier transmissions. Fifth,
the rectifier nonlinearity is beneficial to system performance and is essential
to efficient WIPT design.


title: Graphene plasmonics: Physics and potential applications

abstract:
  Plasmon in graphene possesses many unique properties. It originates from the
collective motion of massless Dirac fermions and the carrier density dependence
is distinctively different from conventional plasmons. In addition, graphene
plasmon is highly tunable and shows strong energy confinement capability. Most
intriguing, as an atom-thin layer, graphene and its plasmon are very sensitive
to the immediate environment. Graphene plasmons strongly couple to polar
phonons of the substrate, molecular vibrations of the adsorbates, and lattice
vibrations of other atomically thin layers. In this review paper, we'll present
the most important advances in grapene plasmonics field. The topics include
terahertz plasmons, mid-infrared plasmons, plasmon-phonon interactions and
potential applications. Graphene plasmonics opens an avenue for reconfigurable
metamaterials and metasurfaces. It's an exciting and promising new subject in
the nanophotonics and plasmonics research field.


title: The moduli space of two-convex embedded spheres

abstract:
  We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is
path-connected for every n. Our proof uses mean curvature flow with surgery and
can be seen as an extrinsic analog to Marques' influential proof of the
path-connectedness of the moduli space of positive scalar curvature metics on
three-manifolds.


title: Non-exponential decoherence and subdiffusion in atom-optics kicked rotor

abstract:
  Quantum systems lose coherence upon interaction with the environment and tend
towards classical states. Quantum coherence is known to exponentially decay in
time so that macroscopic quantum superpositions are generally unsustainable. In
this work, slower than exponential decay of coherences is experimentally
realized in an atom-optics kicked rotor system subjected to non-stationary
L\'{e}vy noise in the applied kick sequence. The slower coherence decay
manifests in the form of quantum subdiffusion that can be controlled through
the L\'{e}vy exponent. The experimental results are in good agreement with the
analytical estimates and numerical simulations for the mean energy growth and
momentum profiles of atom-optics kicked rotor.


title: The Memory of Science: Inflation, Myopia, and the Knowledge Network

abstract:
  Science is a growing system, exhibiting ~4% annual growth in publications and
~1.8% annual growth in the number of references per publication. Combined these
trends correspond to a 12-year doubling period in the total supply of
references, thereby challenging traditional methods of evaluating scientific
production, from researchers to institutions. Against this background, we
analyzed a citation network comprised of 837 million references produced by
32.6 million publications over the period 1965-2012, allowing for a temporal
analysis of the `attention economy' in science. Unlike previous studies, we
analyzed the entire probability distribution of reference ages - the time
difference between a citing and cited paper - thereby capturing previously
overlooked trends. Over this half-century period we observe a narrowing range
of attention - both classic and recent literature are being cited increasingly
less, pointing to the important role of socio-technical processes. To better
understand the impact of exponential growth on the underlying knowledge network
we develop a network-based model, featuring the redirection of scientific
attention via publications' reference lists, and validate the model against
several empirical benchmarks. We then use the model to test the causal impact
of real paradigm shifts, thereby providing guidance for science policy
analysis. In particular, we show how perturbations to the growth rate of
scientific output affects the reference age distribution and the functionality
of the vast science citation network as an aid for the search & retrieval of
knowledge. In order to account for the inflation of science, our study points
to the need for a systemic overhaul of the counting methods used to evaluate
citation impact - especially in the case of evaluating science careers, which
can span several decades and thus several doubling periods.


title:
Graphene and MoS2 interacting with water: a comparison by ab initio
  calculations

abstract:
  Although very similar in many technological applications, graphene and MoS2
bear significant differences if exposed to humid environments. As an example,
lubrication properties of graphene are reported to improve while those of MoS2
to deteriorate: it is unclear whether this is due to oxidation from disulfide
to oxide or to water adsorption on the sliding surface. By means of ab initio
calculations we show here that these two layered materials have similar
adsorption energies for water on the basal planes. They both tend to avoid
water intercalation between their layers and to display only mild reactivity of
defects located on the basal plane. It is along the edges where marked
differences arise: graphene edges are more reactive at the point that they
immediately prompt water splitting. MoS2 edges are more stable and consequently
water adsorption is much less favoured than in graphene. We also show that
water-driven oxidation of MoS2 layers is unfavoured with respect to adsorption.


title: Identification of market trends with string and D2-brane maps

abstract:
  The multi dimensional string objects are introduced as a new alternative for
an application of string models for time series forecasting in trading on
financial markets. The objects are represented by open string with 2-endpoints
and D2-brane, which are continuous enhancement of 1-endpoint open string model.
We show how new object properties can change the statistics of the predictors,
which makes them the candidates for modeling a wide range of time series
systems. String angular momentum is proposed as another tool to analyze the
stability of currency rates except the historical volatility. To show the
reliability of our approach with application of string models for time series
forecasting we present the results of real demo simulations for four currency
exchange pairs.


title:
Object Capabilities and Lightweight Affinity in Scala: Implementation,
  Formalization, and Soundness

abstract:
  Aliasing is a known source of challenges in the context of imperative
object-oriented languages, which have led to important advances in type systems
for aliasing control. However, their large-scale adoption has turned out to be
a surprisingly difficult challenge. While new language designs show promise,
they do not address the need of aliasing control in existing languages.
  This paper presents a new approach to isolation and uniqueness in an
existing, widely-used language, Scala. The approach is unique in the way it
addresses some of the most important obstacles to the adoption of type system
extensions for aliasing control. First, adaptation of existing code requires
only a minimal set of annotations. Only a single bit of information is required
per class. Surprisingly, the paper shows that this information can be provided
by the object-capability discipline, widely-used in program security. We
formalize our approach as a type system and prove key soundness theorems. The
type system is implemented for the full Scala language, providing, for the
first time, a sound integration with Scala's local type inference. Finally, we
empirically evaluate the conformity of existing Scala open-source code on a
corpus of over 75,000 LOC.


title: Homogeneous ideals on countable sets

abstract:
  We say that an ideal I is homogeneous, if its restriction to any I-positive
subset is isomorphic to I. The paper investigates basic properties of this
notion -- we give examples of homogeneous ideals and present some applications
to topology and ideal convergence. Moreover, we answer questions related to our
research.


title:
Particle-in-cell simulation study of the scaling of asymmetric magnetic
  reconnection with in-plane flow shear

abstract:
  We investigate magnetic reconnection in systems simultaneously containing
asymmetric (anti-parallel) magnetic fields, asymmetric plasma densities and
temperatures, and arbitrary in-plane bulk flow of plasma in the upstream
regions. Such configurations are common in the high-latitudes of Earth's
magnetopause and in tokamaks. We investigate the convection speed of the
X-line, the scaling of the reconnection rate, and the condition for which the
flow suppresses reconnection as a function of upstream flow speeds. We use
two-dimensional particle-in-cell simulations to capture the mixing of plasma in
the outflow regions better than is possible in fluid modeling. We perform
simulations with asymmetric magnetic fields, simulations with asymmetric
densities, and simulations with magnetopause-like parameters where both are
asymmetric. For flow speeds below the predicted cutoff velocity, we find good
scaling agreement with the theory presented in Doss et al., J.~Geophys.~Res.,
120, 7748 (2015). Applications to planetary magnetospheres, tokamaks, and the
solar wind are discussed.


title:
Searching in the dark: the dark mass content of the Milky Way globular
  clusters NGC288 and NGC6218

abstract:
  We present an observational estimate of the fraction and distribution of dark
mass in the innermost region of the two Galactic globular clusters NGC 6218
(M12) and NGC 288. Such an assessment has been made by comparing the dynamical
and luminous mass profiles derived from an accurate analysis of the most
extensive spectroscopic and photometric surveys performed on these stellar
systems. We find that non-luminous matter constitutes more than 60% of the
total mass in the region probed by our data (R<1.6 arcmin~r_h) in both
clusters. We have carefully analyzed the effects of binaries and tidal heating
on our estimate and ruled out the possibility that our result is a spurious
consequence of these effects. The dark component appears to be more
concentrated than the most massive stars suggesting that it is likely composed
of dark remnants segregated in the cluster core.


title:
Review of anisotropic flow correlations in ultrarelativistic heavy-ion
  collisions

abstract:
  Anisotropic flow phenomena is a key probe of the existence of Quark-Gluon
Plasma. Several new observable associated with correlations between anisotropic
flow harmonics are developed, which are expected to be sensitive to the initial
fluctuations and transport properties of the created matter in heavy ion
collisions. I review recent developments of correlations of anisotropic flow
harmonics. The experimental measurements, together with the comparisons to
theoretical model calculations, open up new opportunities of exploring novel
QCD dynamics in heavy-ion collisions.


title:
Search for Sources of High Energy Neutrons with Four Years of Data from
  the IceTop Detector

abstract:
  IceTop is an air shower array located on the Antarctic ice sheet at the
geographic South Pole. IceTop can detect an astrophysical flux of neutrons from
Galactic sources as an excess of cosmic ray air showers arriving from the
source direction. Neutrons are undeflected by the Galactic magnetic field and
can typically travel 10 ($E$ / PeV) pc before decay. Two searches are performed
using 4 years of the IceTop dataset to look for a statistically significant
excess of events with energies above 10 PeV ($10^{16}$ eV) arriving within a
small solid angle. The all-sky search method covers from -90$^{\circ}$ to
approximately -50$^{\circ}$ in declination. No significant excess is found. A
targeted search is also performed, looking for significant correlation with
candidate sources in different target sets. This search uses a higher energy
cut (100 PeV) since most target objects lie beyond 1 kpc. The target sets
include pulsars with confirmed TeV energy photon fluxes and high-mass X-ray
binaries. No significant correlation is found for any target set. Flux upper
limits are determined for both searches, which can constrain Galactic neutron
sources and production scenarios.


title:
Adiabatic mixed-field orientation of ground-state-selected carbonyl
  sulfide molecules

abstract:
  We experimentally demonstrated strong adiabatic mixed-field orientation of
carbonyl sulfide molecules (OCS) in their absolute ground state of
$\text{N}_{\text{up}}/\text{N}_{\text{tot}}=0.882$. OCS was oriented in
combined non-resonant laser and static electric fields inside a two-plate
velocity map imaging spectrometer. The transition from non-adiabatic to
adiabatic orientation for the rotational ground state was studied by varying
the applied laser and static electric field. Above static electric field
strengths of 10 kV/cm and laser intensities of $10^{11} \text{W/cm}^2$ the
observed degree of orientation reached a plateau. These results are in good
agreement with computational solutions of the time-dependent Schr\"odinger
equation.


title:
Hilbert manifold structure for asymptotically hyperbolic relativistic
  initial data

abstract:
  We provide a Hilbert manifold structure {\`a} la Bartnik for the space of
asymptotically hyperbolic initial data for the vacuum constraint equations. The
adaptation led us to prove new weighted Poincar{\'e} and Korn type inequalities
for AH manifolds with inner boundary and weakly regular metric.


title: The trouble with $H_0$

abstract:
  We perform a comprehensive cosmological study of the $H_0$ tension between
the direct local measurement and the model-dependent value inferred from the
Cosmic Microwave Background. With the recent measurement of $H_0$ this tension
has raised to more than $3\sigma$. We consider changes in the early time
physics without modifying the late time cosmology. We also reconstruct the late
time expansion history in a model independent way with minimal assumptions
using distances measures from Baryon Acoustic Oscillations and Type Ia
Supernovae, finding that at $z<0.6$ the recovered shape of the expansion
history is less than 5 % different than that of a standard LCDM model. These
probes also provide a model insensitive constraint on the low-redshift standard
ruler, measuring directly the combination $r_s h$ where $H_0=h \times 100$
km/s/Mpc and $r_s$ is the sound horizon at radiation drag (the standard ruler),
traditionally constrained by CMB observations. Thus $r_s$ and $H_0$ provide
absolute scales for distance measurements (anchors) at opposite ends of the
observable Universe. We calibrate the cosmic distance ladder and obtain a
model-independent determination of the standard ruler for acoustic scale,
$r_s$. The tension in $H_0$ reflects a mismatch between our determination of
$r_s$ and its standard, CMB-inferred value. Without including high-l Planck CMB
polarization data (i.e., only considering the "recommended baseline" low-l
polarisation and temperature and the high l temperature data), a modification
of the early-time physics to include a component of dark radiation with an
effective number of species around 0.4 would reconcile the CMB-inferred
constraints, and the local $H_0$ and standard ruler determinations. The
inclusion of the "preliminary" high-l Planck CMB polarisation data disfavours
this solution.


title:
Kitaev materials beyond iridates: order by quantum disorder and Weyl
  magnons in rare-earth double perovskites

abstract:
  Motivated by the experiments on the rare-earth double perovskites, we propose
a generalized Kitaev-Heisenberg model to describe the generic interaction
between the spin-orbit-entangled Kramers' doublets of the rare-earth moments.
We carry out a systematic analysis of the mean-field phase diagram of this new
model. In the phase diagram, there exist large regions with a continuous U(1)
or O(3) degeneracy. Since no symmetry of the model protects such a continuous
degeneracy, we predict that the quantum fluctuation lifts the continuous
degeneracy and favors various magnetic orders in the phase diagram. From this
order by quantum disorder mechanism, we further predict that the magnetic
excitations of the resulting ordered phases are characterized by nearly gapless
pseudo-Goldstone modes. We find that there exist Weyl magnon excitations for
certain magnetic orders. We expect our prediction to inspire further study of
Kitaev physics, the order by quantum disorder phenomenon and topological spin
wave modes in the rare-earth magnets and the systems alike.


title: Layer Tunable Third-Harmonic Generation in Multilayer Black Phosphorus

abstract:
  Black phosphorus has been the subject of growing interest due to its unique
band structure that is both layer dependent and anisotropic. While many have
studied the linear optical response of black phosphorus, the nonlinear response
has remained relatively unexplored. Here we report on the observation of
third-harmonic generation in black phosphorus using an ultrafast near-IR laser
and measure Chi(3) experimentally for the first time. It was found that the
third-harmonic emission is highly anisotropic, dependent on the incident
polarization, and varies strongly with the number of layers present due to
signal depletion and phase-matching conditions.


title: A Local-Global Approach to Semantic Segmentation in Aerial Images

abstract:
  Aerial images are often taken under poor lighting conditions and contain low
resolution objects, many times occluded by other objects. In this domain,
visual context could be of great help, but there are still very few papers that
consider context in aerial image understanding and still remains an open
problem in computer vision. We propose a dual-stream deep neural network that
processes information along two independent pathways. Our model learns to
combine local and global appearance in a complementary way, such that together
form a powerful classifier. We test our dual-stream network on the task of
buildings segmentation in aerial images and obtain state-of-the-art results on
the Massachusetts Buildings Dataset. We study the relative importance of local
appearance versus the larger scene, as well as their performance in combination
on three new buildings datasets. We clearly demonstrate the effectiveness of
visual context in conjunction with deep neural networks for aerial image
understanding.


title:
Search for new resonances decaying to a $W$ or $Z$ boson and a Higgs
  boson in the $\ell^+ \ell^- b\bar b$, $\ell \nu b\bar b$, and $\nu\bar{\nu}
  b\bar b$ channels with $pp$ collisions at $\sqrt s = 13$ TeV with the ATLAS
  detector

abstract:
  A search is presented for new resonances decaying to a $W$ or $Z$ boson and a
Higgs boson in the $\ell^+ \ell^- b\bar b$, $\ell\nu b\bar b$, and
$\nu\bar{\nu} b\bar b$ channels in $pp$ collisions at $\sqrt s = 13$ TeV with
the ATLAS detector at the Large Hadron Collider using a total integrated
luminosity of 3.2 fb$^{-1}$. The search is conducted by looking for a localized
excess in the $WH$/$ZH$ invariant or transverse mass distribution. No
significant excess is observed, and the results are interpreted in terms of
constraints on a simplified model based on a phenomenological Lagrangian of
heavy vector triplets.


title: A weak Galerkin finite element method for Burgers' equation

abstract:
  We propose a weak Galerkin(WG) finite element method for solving the
one-dimensional Burgers' equation. Based on a new weak variational form, both
semi-discrete and fully-discrete WG finite element schemes are established and
analyzed. We prove the existence of the discrete solution and derive the
optimal order error estimates in the discrete $H^1$-norm and $L^2$-norm,
respectively. Numerical experiments are presented to illustrate our theoretical
analysis.


title: Pictures of Particle Production in Proton-Nucleus Collisions

abstract:
  This work focuses on gluon(jet) production in dilute(proton)-dense(nucleus)
collisions. Depending on the frame and gauge, gluon production can be viewed as
a freeing of gluons coming from either the proton wave function or from the
nucleus wave function. These (apparently) very different pictures must lead to
the same result and the purpose of this paper is to see how that happens. The
focus is on gluons having $k_\perp\sim Q_S$ or gluons in the scaling region
$k_\perp/Q_S\gg 1$. In the McLerran-Venugopalan(MV) model with $k_\perp\sim
Q_S$ we are able to derive gluon production in a way that (graphically)
manifestly shows $k_\perp$-factorization in terms of the number density of
gluons in the nuclear wave function. We presume that this picture, and
$k_\perp$-factorization, continues to hold in the presence of small-$x$
evolution although we have not been able to explicitly verify this. Our result
is in agreement with usual $k_\perp$-factorization where the gluon number
density of the nucleus does not appear in an explicit way.


title: Differentiable functions on modules and the equation $grad(w)=Mgrad(v)$

abstract:
  Let $A$ be a finite-dimensional, commutative algebra over $\mathbb{R}$ or
$\mathbb{C}$. The notion of $A$-differentiable functions on $A$ is extended to
the notion of $A$-differentiable functions on a finitely generated $A$-module
$B$. Let $U$ be an open, bounded and convex subset of $B$. When $A$ is singly
generated and $B$ is arbitrary or $A$ is arbitrary and $B$ is a free module, an
explicit formula for an $A$-differentiable functions on $U$, of a prescribed
class of differentiability, is given in terms of real or complex differentiable
functions. It appears, even in case of real algebras, that certain components
of $A$-differentiable function are of higher differentiability than the
function itself.
  Let $M$ be a constant, square matrix. Using the aforementioned formula we
find the complete solution of the equation $grad(w)=Mgrad(v)$.
  The boundary value problem for generalized Laplace equations $M\nabla^2
v=\nabla^2v M^{\intercal}$ is formulated and it is proved that for the given
boundary data there exists an unique solution, for which a formula is provided.


title: Minimal time spiking in various ChR2-controlled neuron models

abstract:
  We use conductance based neuron models and the mathematical modeling of
Optogenetics to define controlled neuron models and we address the minimal time
control of these affine systems for the first spike from equilibrium. We apply
tools of geometric optimal control theory to study singular extremals and we
implement a direct method to compute optimal controls. When the system is too
large to theoretically investigate the existence of singular optimal controls,
we observe numerically the optimal bang-bang controls.


title: Streaming k-mismatch with error correcting and applications

abstract:
  We present a new streaming algorithm for the $k$-Mismatch problem, one of the
most basic problems in pattern matching. Given a pattern and a text, the task
is to find all substrings of the text that are at the Hamming distance at most
$k$ from the pattern. Our algorithm is enhanced with an important new feature
called Error Correcting, and its complexities for $k=1$ and for a general $k$
are comparable to those of the solutions for the $k$-Mismatch problem by Porat
and Porat (FOCS 2009) and Clifford et al. (SODA 2016). In parallel to our
research, a yet more efficient algorithm for the $k$-Mismatch problem with the
Error Correcting feature was developed by Clifford et al. (SODA 2019). Using
the new feature and recent work on streaming Multiple Pattern Matching we
develop a series of streaming algorithms for pattern matching on weighted
strings, which are a commonly used representation of uncertain sequences in
molecular biology. We also show that these algorithms are space-optimal up to
polylog factors.
  A preliminary version of this work was published at DCC 2017 conference.


title: The Cahn-Hilliard equation on an evolving surface

abstract:
  We study the asymptotic limit of the Cahn-Hilliard equation on an evolving
surface with prescribed velocity. The method of formally matched asymptotic
expansions is extended to account for the movement of the domain. We consider
various forms for the mobility and potential functions, in particular, with
regards to the scaling of the mobility with the interface thickness parameter.
Mullins-Sekerka, but also surface diffusion type problems, can be derived
featuring additional terms which are due to the domain evolution. The
asymptotic behaviour is supported and further explored with some numerical
simulations.


title:
Optical trapping of ultracold dysprosium atoms: transition
  probabilities, dynamic dipole polarizabilities and van der Waals $C_6$
  coefficients

abstract:
  The efficiency of optical trapping of ultracold atoms depend on the atomic
dynamic dipole polarizability governing the atom-field interaction. In this
article, we have calculated the real and imaginary parts of the dynamic dipole
polarizability of dysprosium in the ground and first excited level. Due to the
high electronic angular momentum of those two states, the polarizabilities
possess scalar, vector and tensor contributions that we have computed, on a
wide range of trapping wavelengths, using the sum-over-state formula. Using the
same formalism, we have also calculated the $C_6$ coefficients characterizing
the van der Waals interaction between two dysprosium atoms in the two lowest
levels. We have computed the energies of excited states and the transition
probabilities appearing in the sums, using a combination of \textit{ab initio}
and least-square-fitting techniques provided by the Cowan codes and extended in
our group. Regarding the real part of the polarizability, for field frequencies
far from atomic resonances, the vector and tensor contributions are
two-order-of-magnitude smaller than the scalar contribution, whereas for the
imaginary part, the vector and tensor contributions represent a noticeable
fraction of the scalar contribution. This offers the possibility to control the
decoherence and trap losses due to spontaneous emission.


title: On the Ces\`aro average of the "Linnik numbers"

abstract:
  Let $\Lambda$ be the von Mangoldt function and
$r_{Q}\left(n\right)=\sum_{m_{1}+m_{2}^{2}+m_{3}^{2}=n}\Lambda\left(m_{1}\right)$
be the counting function for the numbers that can be written as sum of a prime
and two squares (that we will call Linnik numbers, for brevity). Let $N$ a
sufficiently large integer, let $k>3/2$ and let $M_{i}\left(N,k\right),\,
i=1,\dots,k$ suitable parameters depending on $J_{v}\left(u\right)$, where
$J_{v}\left(u\right)$ denotes the Bessel function of complex order $v$ and real
argument $u$. We prove that $$ \sum_{n\leq
N}r_{Q}\left(n\right)\frac{\left(N-n\right)^{k}}{\Gamma\left(k+1\right)}=M_{1}\left(N,k\right)+M_{2}\left(N,k\right)+M_{3}\left(N,k\right)+M_{4}\left(N,k\right)+O\left(N^{k+1}\right).$$
We also prove that with this technique the bound $k>3/2$ is optimal.


title:
Electrical detection of spiral spin structures in Pt|Cu_2OSeO_3
  heterostructures

abstract:
  The interaction between the itinerant spins in metals and localized spins in
magnetic insulators thus far has only been explored in collinear spin systems,
such as garnets. Here, we report the spin-Hall magnetoresistance (SMR)
sensitive to the surface magnetization of the spin-spiral material, Cu_2OSeO_3.
We experimentally demonstrate that the angular dependence of the SMR changes
drastically at the transition between the helical spiral and the conical spiral
phases. Furthermore, the sign and magnitude of the SMR in the conical spiral
state are controlled by the cone angle. We show that this complex behaviour can
be qualitatively explained within the SMR theory initially developed for
collinear magnets. In addition, we studied the spin Seebeck effect (SSE), which
is sensitive to the bulk magnetization. It originates from the conversion of
thermally excited low-energy spin waves in the magnet, known as magnons, into
the spin current in the adjacent metal contact (Pt). The SSE displays
unconventional behavior where not only the magnitude but also the phase of the
SSE vary with the applied magnetic field.


title: Prediction for a four-neutron resonance

abstract:
  We utilize various {\em ab initio} approaches to search for a low-lying
resonance in the four-neutron ($4n$) system using the JISP16 realistic $NN$
interaction. Our most accurate prediction is obtained using a $J$-matrix
extension of the No-Core Shell Model and suggests a $4n$ resonant state at an
energy near $E_r = 0.8$ MeV with a width of approximately $\Gamma = 1.4$ MeV.


title:
Changes in the physical environment of the inner coma of
  67P/Churyumov-Gerasimenko with decreasing heliocentric distance

abstract:
  The Wide Angle Camera of the OSIRIS instrument on board the Rosetta
spacecraft is equipped with several narrowband filters that are centered on the
emission lines and bands of various fragment species. These are used to
determine the evolution of the production and spatial distribution of the gas
in the inner coma of comet 67P with time and heliocentric distance, here
between 2.6 - 1.3 AU pre-perihelion. Our observations indicate that the
emission observed in the OH, OI, CN, NH, and NH2 filters is mostly produced by
dissociative electron impact excitation of different parent species. We
conclude that CO2 rather than H2O is a significant source of the [OI] 630 nm
emission. A strong plume-like feature observed in the in CN and [OI] filters is
present throughout our observations. This plume is not present in OH emission
and indicates a local enhancement of the CO2/H2O ratio by as much as a factor
of 3. We observed a sudden decrease in intensity levels after March 2015, which
we attribute to decreased electron temperatures in the first kilometers above
the nucleus surface.


title: Finding Planet Nine: apsidal anti-alignment Monte Carlo results

abstract:
  The distribution of the orbital elements of the known extreme trans-Neptunian
objects or ETNOs has been found to be statistically incompatible with that of
an unperturbed asteroid population following heliocentric or, better,
barycentric orbits. Such trends, if confirmed by future discoveries of ETNOs,
strongly suggest that one or more massive perturbers could be located well
beyond Pluto. Within the trans-Plutonian planets paradigm, the Planet Nine
hypothesis has received much attention as a robust scenario to explain the
observed clustering in physical space of the perihelia of seven ETNOs which
also exhibit clustering in orbital pole position. Here, we revisit the subject
of clustering in perihelia and poles of the known ETNOs using barycentric
orbits, and study the visibility of the latest incarnation of the orbit of
Planet Nine applying Monte Carlo techniques and focusing on the effects of the
apsidal anti-alignment constraint. We provide visibility maps indicating the
most likely location of this putative planet if it is near aphelion. We also
show that the available data suggest that at least two massive perturbers are
present beyond Pluto.


title:
A comprehensive radial velocity error budget for next generation Doppler
  spectrometers

abstract:
  We describe a detailed radial velocity error budget for the NASA-NSF Extreme
Precision Doppler Spectrometer instrument concept NEID (NN-explore Exoplanet
Investigations with Doppler spectroscopy). Such an instrument performance
budget is a necessity for both identifying the variety of noise sources
currently limiting Doppler measurements, and estimating the achievable
performance of next generation exoplanet hunting Doppler spectrometers. For
these instruments, no single source of instrumental error is expected to set
the overall measurement floor. Rather, the overall instrumental measurement
precision is set by the contribution of many individual error sources. We use a
combination of numerical simulations, educated estimates based on published
materials, extrapolations of physical models, results from laboratory
measurements of spectroscopic subsystems, and informed upper limits for a
variety of error sources to identify likely sources of systematic error and
construct our global instrument performance error budget. While natively
focused on the performance of the NEID instrument, this modular performance
budget is immediately adaptable to a number of current and future instruments.
Such an approach is an important step in charting a path towards improving
Doppler measurement precisions to the levels necessary for discovering
Earth-like planets.


title: Set-Consensus Collections are Decidable

abstract:
  A natural way to measure the power of a distributed-computing model is to
characterize the set of tasks that can be solved in it. %the model. In general,
however, the question of whether a given task can be solved in a given model is
undecidable, even if we only consider the wait-free shared-memory model.
  In this paper, we address this question for restricted classes of models and
tasks. We show that the question of whether a collection $C$ of
\emph{$(\ell,j)$-set consensus} objects, for various $\ell$ (the number of
processes that can invoke the object) and $j$ (the number of distinct outputs
the object returns), can be used by $n$ processes to solve wait-free $k$-set
consensus is decidable. Moreover, we provide a simple $O(n^2)$ decision
algorithm, based on a dynamic programming solution to the Knapsack optimization
problem.
  We then present an \emph{adaptive} wait-free set-consensus algorithm that,
for each set of participating processes, achieves the best level of agreement
that is possible to achieve using $C$. Overall, this gives us a complete
characterization of a read-write model defined by a collection of set-consensus
objects through its \emph{set-consensus power}.


title: Marginal false discovery rates for penalized regression models

abstract:
  Penalized regression methods are an attractive tool for high-dimensional data
analysis, but their widespread adoption has been hampered by the difficulty of
applying inferential tools. In particular, the question "How reliable is the
selection of those features?" has proved difficult to address. In part, this
difficulty arises from defining false discoveries in the classical, fully
conditional sense, which is possible in low dimensions but does not scale well
to high-dimensional settings. Here, we consider the analysis of marginal false
discovery rates for penalized regression methods. Restricting attention to the
marginal FDR permits straightforward estimation of the number of selections
that would likely have occurred by chance alone, and therefore provides a
useful summary of selection reliability. Theoretical analysis and simulation
studies demonstrate that this approach is quite accurate when the correlation
among predictors is mild, and only slightly conservative when the correlation
is stronger. Finally, the practical utility of the proposed method and its
considerable advantages over other approaches are illustrated using gene
expression data from The Cancer Genome Atlas and GWAS data from the Myocardial
Applied Genomics Network.


title: Non-minimally coupled dark fluid in Schwarzschild spacetime

abstract:
  If one assumes a particular form of non-minimal coupling, called the
conformal coupling, of a perfect fluid with gravity in the fluid-gravity
Lagrangian then one gets modified Einstein field equation. In the modified
Einstein equation, the effect of the non-minimal coupling does not vanish if
one works with spacetimes for which the Ricci scalar vanishes. In the present
work we use the Schwarzschild metric in the modified Einstein equation, in
presence of non-minimal coupling with a fluid, and find out the energy-density
and pressure of the fluid. In the present case the perfect fluid is part of the
solution of the modified Einstein equation. We also solve the modified Einstein
equation, using the flat spacetime metric and show that in presence of
non-minimal coupling one can accommodate a perfect fluid of uniform
energy-density and pressure in the flat spacetime. In both the cases the fluid
pressure turns out to be negative. Except these non-trivial solutions it must
be noted that the vacuum solutions also remain as trivial valid solutions of
the modified Einstein equation in presence of non-minimal coupling.


title:
Paths to uniqueness of critical points and applications to partial
  differential equations

abstract:
  We prove a unified and general criterion for the uniqueness of critical
points of a functional in the presence of constraints such as positivity,
boundedness, or fixed mass. Our method relies on convexity properties along
suitable paths and significantly generalizes well-known uniqueness theorems.
Due to the flexibility in the construction of the paths, our approach does not
depend on the convexity of the domain and can be used to prove uniqueness in
subsets, even if it does not hold globally. The results apply to all critical
points and not only to minimizers, thus they provide uniqueness of solutions to
the corresponding Euler-Lagrange equations. For functionals emerging from
elliptic problems, the assumptions of our abstract theorems follow from maximum
principles, decay properties, and novel general inequalities. To illustrate our
method we present a unified proof of known results, as well as new theorems for
mean-curvature type operators, fractional Laplacians, Hamiltonian systems,
Schr\"odinger equations, and Gross-Pitaevski systems.


title:
Possible Gamma-Ray Burst radio detections by the Square Kilometre Array.
  New perspectives

abstract:
  The next generation interferometric radio telescope, the Square Kilometre
Array (SKA), which will be the most sensitive and largest radio telescope ever
constructed, could greatly contribute to the detection, survey and
characterization of Gamma Ray Bursts (GRBs). By the SKA, it will be possible to
perform the follow up of GRBs even for several months. This approach would be
extremely useful to extend the Spectrum Energetic Distribution (SED) from the
gamma to the to radio band and would increase the number of radio detectable
GRBs. In principle, the SKA could help to understand the physics of GRBs by
setting constraints on theoretical models. This goal could be achieved by
taking into account multiple observations at different wavelengths in order to
obtain a deeper insight of the sources. Here, we present an estimation of GRB
radio detections, showing that the GRBs can really be observed by the SKA. The
approach that we present consists in determining blind detection rates derived
by a very large sample consisting of merging several GRB catalogues observed by
current missions as Swift, Fermi, Agile and INTEGRAL and by previous missions
as BeppoSAX, CGRO, GRANAT, HETE-2, Ulysses and Wind. The final catalogue counts
7516 distinct sources. We compute the fraction of GRBs that could be observed
by the SKA at high and low frequencies, above its observable sky. Considering
the planned SKA sensitivity and through an extrapolation based on previous
works and observations, we deduce the minimum fluence in the range 15-150 keV.
This is the energy interval where a GRB should emit to be detectable in the
radio band by the SKA. Results seem consistent with observational capabilities.


title:
Box moves on Littlewood-Richardson tableaux and an application to
  invariant subspace varieties

abstract:
  In his 1951 book "Infinite Abelian Groups", Kaplansky gives a combinatorial
characterization of the isomorphism types of embeddings of a cyclic subgroup in
a finite abelian group. In this paper we first use partial maps on
Littlewood-Richardson tableaux to generalize this result to finite direct sums
of such embeddings. We then focus on an application to invariant subspaces of
nilpotent linear operators. We develop a criterion to decide if two irreducible
components in the representation space are in the boundary partial order.


title: Quasi-Dirac neutrinos at the LHC

abstract:
  Lepton number violation is searched for at the LHC using same-sign leptons
plus jets. The standard lore is that the ratio of same-sign lepton to
opposite-sign lepton events, $R_{ll}$, is equal to $R_{ll}=1$ ($R_{ll}=0$) for
Majorana (Dirac) neutrinos. We argue that for "quasi-Dirac" neutrinos, $R_{ll}$
can have any value between 0 and 1, the precise value being controlled by the
mass splitting versus the width of the quasi-Dirac resonances. A measurement of
$R_{ll}\neq 0,1$ would then contain valuable information about the origin of
neutrino masses. We consider as an example the inverse seesaw mechanism in a
left-right symmetric scenario, which is phenomenologically particularly
interesting since all the heavy states in the high energy completion of the
model could be within experimental reach. A prediction of this scenario is a
correlation between the values of $R_{ll}$ and the ratio between the rates for
heavy neutrino decays into standard model gauge bosons, and into three body
final states $ljj$ mediated by off-shell $W_R$ exchange.


title:
Complex Langevin in Lattice QCD: dynamic stabilisation and the phase
  diagram

abstract:
  Complex Langevin simulations provide an alternative to sample path integrals
with complex weights and therefore are suited to determine the phase diagram of
QCD from first principles. We use our proposed method of Dynamic Stabilisation
(DS) to ensure improved convergence to the right limit and present new
systematic tests of this technique. We also show results on QCD in the limit of
heavy quarks and an analysis of DS compared to known results from reweighting.


title: Redshift drift constraints on holographic dark energy

abstract:
  The Sandage-Loeb (SL) test is a promising method for probing dark energy
because it measures the redshift drift in the spectra of Lyman-$\alpha$ forest
of distant quasars, covering the "redshift desert" of $2\lesssim z\lesssim5$,
which is not covered by existing cosmological observations. Therefore, it could
provide an important supplement to current cosmological observations. In this
paper, we explore the impact of SL test on the precision of cosmological
constraints for two typical holographic dark energy models, i.e., the original
holographic dark energy (HDE) model and the Ricci holographic dark energy (RDE)
model. To avoid data inconsistency, we use the best-fit models based on current
combined observational data as the fiducial models to simulate 30 mock SL test
data. The results show that SL test can effectively break the existing strong
degeneracy between the present-day matter density $\Omega_{m0}$ and the Hubble
constant $H_0$ in other cosmological observations. For the considered two
typical dark energy models, not only can a 30-year observation of SL test
improve the constraint precision of $\Omega_{m0}$ and $h$ dramatically, but can
also enhance the constraint precision of the model parameters $c$ and $\alpha$
significantly.


title: Locally 2-fold symmetric manifolds are locally symmetric

abstract:
  A manifold is locally \emph{$k$-fold symmetric}, if for any point and any
$k$-dimensional vector subspace tangent to this point there exists a local
isometry such that this point is a fixed point and the differential of the
isometry restricted to that $k$-dimensional vector subspace is minus the
identity. We show that for $k \ge 2$, Riemannian, pseudoriemannian and
Finslerian locally $k$-fold symmetric manifolds are locally symmetric.


title: Information Spreading in Dynamic Networks under Oblivious Adversaries

abstract:
  We study the problem of gossip in dynamic networks controlled by an adversary
that can modify the network arbitrarily from one round to another, provided
that the network is always connected. In the gossip problem, $n$ tokens are
arbitrarily distributed among the $n$ network nodes, and the goal is to
disseminate all the $n$ tokens to every node. Our focus is on token-forwarding
algorithms, which do not manipulate tokens in any way other than storing,
copying, and forwarding them. Gossip can be completed in linear time in any
static network, but a basic open question for dynamic networks is the existence
of a distributed protocol that can do significantly better than an easily
achievable bound of $O(n^2)$ rounds.
  In previous work, it has been shown that under adaptive adversaries, every
token forwarding algorithm requires $\Omega(n^2/\log n)$ rounds. In this paper,
we study oblivious adversaries, which differ from adaptive adversaries in one
crucial aspect--- they are oblivious to random choices made by the protocol. We
present an $\tilde{\Omega}(n^{3/2})$ lower bound under an oblivious adversary
for RANDDIFF, a natural algorithm in which neighbors exchange a token chosen
uniformly at random from the difference of their token sets. We also present an
$\tilde{\Omega}(n^{4/3})$ bound under a stronger notion of oblivious adversary
for symmetric knowledge-based algorithms. On the positive side, we present a
centralized algorithm that completes gossip in $\tilde{O}(n^{3/2})$ rounds. We
also show an $\tilde{O}(n^{5/3})$ upper bound for RANDDIFF in a restricted
class of oblivious adversaries, which we call paths-respecting.


title:
Recurrence and transience for normally reflected Brownian motion in
  warped product manifolds

abstract:
  We establish an integral test describing the exact cut-off between recurrence
and transience for normally reflected Brownian motion in certain unbounded
domains in a class of warped product manifolds. Besides extending a previous
result by R. Pinsky, who treated the case in which the ambient space is flat,
our result recovers the classical test for the standard Brownian motion in
model spaces. Moreover, it allows us to discuss the recurrence/transience
dichotomy for certain generalized tube domains around totally geodesic
submanifolds in hyperbolic space.


title:
Design of LDPC Codes using Multipath EMD Strategies and Progressive Edge
  Growth

abstract:
  Low-density parity-check (LDPC) codes are capable of achieving excellent
performance and provide a useful alternative for high performance applications.
However, at medium to high signal-to-noise ratios (SNR), an observable error
floor arises from the loss of independence of messages passed under iterative
graph-based decoding. In this paper, the error floor performance of short block
length codes is improved by use of a novel candidate selection metric in code
graph construction. The proposed Multipath EMD approach avoids harmful
structures in the graph by evaluating certain properties of the cycles which
may be introduced in each edge placement. We present Multipath EMD based
designs for several structured LDPC codes including quasi-cyclic and irregular
repeat accumulate codes. In addition, an extended class of diversity-achieving
codes on the challenging block fading channel is proposed and considered with
the Multipath EMD design. This combined approach is demonstrated to provide
gains in decoder convergence and error rate performance. A simulation study
evaluates the performance of the proposed and existing state-of-the-art
methods.


title:
Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$
  potentials

abstract:
  We establish a sharp estimate on the size of the spectral clusters of the
Landau Hamiltonian with $L^p$ potentials in two dimensions as the cluster index
tends to infinity. In three dimensions, we prove a new limiting absorption
principle as well as a unique continuation theorem. The results generalize to
higher dimensions.


title:
A search for low-energy neutrino and antineutrino signals correlated
  with gamma-ray bursts with Borexino

abstract:
  A search for neutrino and antineutrino events correlated with 2,350 gamma-ray
bursts (GRBs) is performed with Borexino data collected between December 2007
and November 2015. No statistically significant excess over background is
observed. We look for electron antineutrinos ($\bar{\nu}_e$) that inverse beta
decay on protons with energies from 1.8\,MeV to 15\,MeV and set the best limit
on the neutrino fluence from GRBs below 8\,MeV. The signals from neutrinos and
antineutrinos from GRBs that scatter on electrons are also searched for, a
detection channel made possible by the particularly radio-pure scintillator of
Borexino. We obtain currently the best limits on the neutrino fluence of all
flavors and species below 7\,MeV. Finally, time correlations between GRBs and
bursts of events are investigated. Our analysis combines two semi-independent
data acquisition systems for the first time: the primary Borexino readout
optimized for solar neutrino physics up to a few MeV, and a fast waveform
digitizer system tuned for events above 1\,MeV.


title: A Supervised Authorship Attribution Framework for Bengali Language

abstract:
  Authorship Attribution is a long-standing problem in Natural Language
Processing. Several statistical and computational methods have been used to
find a solution to this problem. In this paper, we have proposed methods to
deal with the authorship attribution problem in Bengali.