title:
Spherical nilpotent orbits and abelian subalgebras in isotropy
  representations

abstract:
  Let $G$ be a simply connected semisimple algebraic group with Lie algebra
$\mathfrak g$, let $G_0 \subset G$ be the symmetric subgroup defined by an
algebraic involution $\sigma$ and let $\mathfrak g_1 \subset \mathfrak g$ be
the isotropy representation of $G_0$. Given an abelian subalgebra $\mathfrak a$
of $\mathfrak g$ contained in $\mathfrak g_1$ and stable under the action of
some Borel subgroup $B_0 \subset G_0$, we classify the $B_0$-orbits in
$\mathfrak a$ and we characterize the sphericity of $G_0 \mathfrak a$. Our main
tool is the combinatorics of $\sigma$-minuscule elements in the affine Weyl
group of $\mathfrak g$ and that of strongly orthogonal roots in Hermitian
symmetric spaces.


title:
Implications of Fermionic Dark Matter on recent neutrino oscillation
  data

abstract:
  We investigate flavor phenomenology and dark matter in the context of
scotogenic model. In this model, the neutrino masses are generated through
radiative corrections at one-loop level. Considering the neutrino mixing matrix
to be of tri-bimaximal form with additional perturbations to accommodate the
recently observed non-zero value of reactor mixing angle $\theta_{13}$, we
obtain the relation between various neutrino oscillation parameters and the
model parameters. Working in degenerate heavy neutrino mass spectrum, we obtain
light neutrino masses obeying normal hierarchy and also study the relic
abundance of fermionic dark matter candidate including co-annihilation effects.
A viable parameter space is thus obtained, consistent with neutrino oscillation
data, relic abundance and various lepton flavor violating decays such as
$\ell_\alpha\to\ell_\beta\gamma$ and $\ell_\alpha \to 3 \, \ell_\beta$.


title: The diffeomorphism type of symplectic fillings

abstract:
  We show that simply connected contact manifolds that are subcritically Stein
fillable have a unique symplectically aspherical filling up to diffeomorphism.
Various extensions to manifolds with non-trivial fundamental group are
discussed. The proof rests on homological restrictions on symplectic fillings
derived from a degree-theoretic analysis of the evaluation map on a suitable
moduli space of holomorphic spheres. Applications of this homological result
include a proof that compositions of right-handed Dehn twists on Liouville
domains are of infinite order in the symplectomorphism group. We also derive
uniqueness results for subcritical Stein fillings up to homotopy equivalence
and, under some topological assumptions on the contact manifold, up to
diffeomorphism or symplectomorphism.


title:
Inverse source problem for a time-fractional heat equation with
  generalized impedance boundary condition

abstract:
  The paper considers an inverse source problem for a one-dimensional
time-fractional heat equation with the generalized impedance boundary
condition. The inverse problem is the time dependent source parameter
identification together with the temperature distrubution from the energy
measurement. The well-posedness of the inverse problem is shown by applying the
Fourier expansion in terms of eigenfunctions of a spectral problem which has
the spectral parameter also in the boundary condition and by using the results
on Volterra type integral equation with the kernel may have a diagonal
singularity.


title:
Compactness Criterion for Semimartingale Laws and Semimartingale Optimal
  Transport

abstract:
  We provide a compactness criterion for the set of laws
$\mathfrak{P}^{ac}_{sem}(\Theta)$ on the Skorokhod space for which the
canonical process $X$ is a semimartingale having absolutely continuous
characteristics with differential characteristics taking values in some given
set $\Theta$ of L\'evy triplets. Whereas boundedness of $\Theta$ implies
tightness of $\mathfrak{P}^{ac}_{sem}(\Theta)$, closedness fails in general,
even when choosing $\Theta$ to be additionally closed and convex, as a sequence
of purely discontinuous martingales may converge to a diffusion. To that end,
we provide a necessary and sufficient condition that prevents the purely
discontinuous martingale part in the canonical representation of $X$ to create
a diffusion part in the limit. As a result, we obtain a sufficient criterion
for $\mathfrak{P}^{ac}_{sem}(\Theta)$ to be compact, which turns out to be also
a necessary one if the geometry of $\Theta$ is similar to a box on the product
space.
  As an application, we consider a semimartingale optimal transport problem,
where the transport plans are elements of $\mathfrak{P}^{ac}_{sem}(\Theta)$. We
prove the existence of an optimal transport law $\widehat{\mathbb{P}}$ and
obtain a duality result extending the classical Kantorovich duality to this
setup.


title: Predicting the evolution of stationary graph signals

abstract:
  An emerging way of tackling the dimensionality issues arising in the modeling
of a multivariate process is to assume that the inherent data structure can be
captured by a graph. Nevertheless, though state-of-the-art graph-based methods
have been successful for many learning tasks, they do not consider
time-evolving signals and thus are not suitable for prediction. Based on the
recently introduced joint stationarity framework for time-vertex processes,
this letter considers multivariate models that exploit the graph topology so as
to facilitate the prediction. The resulting method yields similar accuracy to
the joint (time-graph) mean-squared error estimator but at lower complexity,
and outperforms purely time-based methods.


title: Origin of the backstreaming ions in a young Hot Flow Anomaly

abstract:
  We analyze an event in front of the bow shock observed by Cluster spacecraft
on 22.02.2006. This event has many attributes of Hot Flow Anomaly at early
stage of development including strong upstream beam and disturbed magnetic
profile with increased magnetic field at one or two sides as observed by 4
Cluster spacecraft. The angle between the magnetic field vectors at two sides
of the current sheet was ~ 10{\deg}. The minimum magnetic field magnitude
within HFA was ~ 1 nT. The shock at two sides of the HFA was
quasi-perpendicular. Upstream beam was observed on the leading side of the HFA.
Parameters and velocity distributions of solar wind ions and of upstream ions
observed on C1 and C3 spacecraft are analyzed separately in order to trace
their changes across the event. The goal of this analysis was to get more
information about the source of upstream beam. The beam evolved from the start
of its observation till the HFA encounter being initially energetic and nearly
mono-energetic. Its mean energy continuously decreased and energy spectrum
widened as HFA approached spacecraft. First observation of particular energy
that diminished with approaching the HFA varied linearly with gyro-radius of
ions. The energy spectra of integrated beam (for all observation) and the
energy spectrum of the beam observed just in front of HFA are very similar to
the magnetosheath ion energy spectrum observed after bow shock crossing at ~ 1
hour after observation of the HFA. Lowest energies in the beam were observed
within HFA only. Highest density and pressure of upstream beam are found in the
current sheet itself. We suggest that the upstream beam is the result of the
magnetosheath ions leakage through the region of HFA crossing with the bow
shock front.


title: On the consistency problem for modular lattices and related structures

abstract:
  The consistency problem for a class of algebraic structures asks for an
algorithm to decide for any given conjunction of equations whether it admits a
non-trivial satisfying assignment within some member of the class. By Adyan
(1955) and Rabin (1958) it is known unsolvable for (the class of) groups and,
recently, by Bridson and Wilton (2015) for finite groups. We derive
unsolvability for (finite) modular lattices and various subclasses; in
particular, the class of all subspace lattices of finite dimensional vector
spaces over a fixed or arbitrary field of characteristic $0$. The lattice
results are used to prove unsolvability of the consistency problem for (finite)
rings and (finite) representable relation algebras. These results in turn apply
to equations between simple expressions in Grassmann-Cayley algebra and to
functional and embedded multivalued dependencies in databases.


title: Separating Answers from Queries for Neural Reading Comprehension

abstract:
  We present a novel neural architecture for answering queries, designed to
optimally leverage explicit support in the form of query-answer memories. Our
model is able to refine and update a given query while separately accumulating
evidence for predicting the answer. Its architecture reflects this separation
with dedicated embedding matrices and loosely connected information pathways
(modules) for updating the query and accumulating evidence. This separation of
responsibilities effectively decouples the search for query related support and
the prediction of the answer. On recent benchmark datasets for reading
comprehension, our model achieves state-of-the-art results. A qualitative
analysis reveals that the model effectively accumulates weighted evidence from
the query and over multiple support retrieval cycles which results in a robust
answer prediction.


title: Populations can be essential in tracking dynamic optima

abstract:
  Real-world optimisation problems are often dynamic. Previously good solutions
must be updated or replaced due to changes in objectives and constraints. It is
often claimed that evolutionary algorithms are particularly suitable for
dynamic optimisation because a large population can contain different solutions
that may be useful in the future. However, rigorous theoretical demonstrations
for how populations in dynamic optimisation can be essential are sparse and
restricted to special cases.
  This paper provides theoretical explanations of how populations can be
essential in evolutionary dynamic optimisation in a general and natural
setting. We describe a natural class of dynamic optimisation problems where a
sufficiently large population is necessary to keep track of moving optima
reliably. We establish a relationship between the population-size and the
probability that the algorithm loses track of the optimum.


title:
The impact of galactic properties and environment on the quenching of
  central and satellite galaxies: A comparison between SDSS, Illustris and
  L-Galaxies

abstract:
  We quantify the impact that a variety of galactic and environmental
properties have on the quenching of star formation. We collate a sample of
$\sim$ 400,000 central and $\sim$ 100,000 satellite galaxies from the Sloan
Digital Sky Survey Data Release 7 (SDSS DR7). Specifically, we consider central
velocity dispersion ($\sigma_{c}$), stellar, halo, bulge and disk mass, local
density, bulge-to-total ratio, group-centric distance and galaxy-halo mass
ratio. We develop and apply a new statistical technique to quantify the impact
on the quenched fraction ($f_{\rm Quench}$) of varying one parameter, while
keeping the remaining parameters fixed. For centrals, we find that the $f_{\rm
Quench} - \sigma_{c}$ relationship is tighter and steeper than for any other
variable considered. We compare to the Illustris hydrodynamical simulation and
the Munich semi-analytic model (L-Galaxies), finding that our results for
centrals are qualitatively consistent with their predictions for quenching via
radio-mode AGN feedback, hinting at the viability of this process in explaining
our observational trends. However, we also find evidence that quenching in
L-Galaxies is too efficient and quenching in Illustris is not efficient enough,
compared to observations. For satellites, we find strong evidence that
environment affects their quenched fraction at fixed central velocity
dispersion, particularly at lower masses. At higher masses, satellites behave
identically to centrals in their quenching. Of the environmental parameters
considered, local density affects the quenched fraction of satellites the most
at fixed central velocity dispersion.


title:
A Golden Age of General Relativity? Some remarks on the history of
  general relativity

abstract:
  In papers on the history of general relativity and in personal remembrances
of relativists, keywords like "renaissance" and "golden age" of general
relativity have been used. We try to show that the first label rests on a weak
empirical basis. The second one, while describing a period of vivid growth in
research in general relativity, exaggerates the importance of this particular
development.


title:
What Happens After You Both Swipe Right: A Statistical Description of
  Mobile Dating Communications

abstract:
  Mobile dating applications (MDAs) have skyrocketed in popularity in the last
few years, with popular MDA Tinder alone matching 26 million pairs of users per
day. In addition to becoming an influential part of modern dating culture, MDAs
facilitate a unique form of mediated communication: dyadic mobile text messages
between pairs of users who are not already acquainted. Furthermore, mobile
dating has paved the way for analysis of these digital interactions via massive
sets of data generated by the instant matching and messaging functions of its
many platforms at an unprecedented scale. This paper looks at one of these sets
of data: metadata of approximately two million conversations, containing 19
million messages, exchanged between 400,000 heterosexual users on an MDA.
Through computational analysis methods, this study offers the very first large
scale quantitative depiction of mobile dating as a whole. We report on
differences in how heterosexual male and female users communicate with each
other on MDAs, differences in behaviors of dyads of varying degrees of social
separation, and factors leading to "success"-operationalized by the exchange of
phone numbers between a match. For instance, we report that men initiate 79% of
conversations--and while about half of the initial messages are responded to,
conversations initiated by men are more likely to be reciprocated. We also
report that the length of conversations, the waiting times, and the length of
messages have fat-tailed distributions. That said, the majority of reciprocated
conversations lead to a phone number exchange within the first 20 messages.


title: Metal-rich or misclassified? The case of four RR Lyrae stars

abstract:
  We analysed the light curve of four, apparently extremely metal-rich
fundamental-mode RR Lyrae stars. We identified two stars, MT Tel and ASAS
J091803-3022.6 as RRc (first-overtone) pulsators that were misclassified as
RRab ones in the ASAS survey. In the case of the other two stars, V397 Gem and
ASAS J075127-4136.3, we could not decide conclusively, as they are outliers in
the period-Fourier-coefficient space from the loci of both classes, but their
photometric metallicities also favour the RRc classification.


title: A natural map from a quantized space onto its semiclassical limit

abstract:
  Let $\widehat{\Gamma}$ be the natural map given in \cite[\S1]{Oh12}. Here, we
construct a deformation $B_q$ of a Poisson algebra $B_1$ and a prime ideal $P$
of $B_q$ such that $\widehat{\Gamma}(P)$ is not a Poisson prime ideal of $B_1$.


title: Results and Prospects from T2K

abstract:
  As measurements of the neutrino oscillation parameters improve it is becoming
more interesting to study antineutrino oscillations, to investigate CP and CPT
violation in the lepton sector and nonstandard matter effects. We present the
most recent T2K antineutrino oscillation results, from data collected using a
muon antineutrino-enhanced neutrino beam corresponding to 4.01E20 protons on
target. The first analysis of electron antineutrino appearance at T2K is
presented, as well as world-leading measurements of the dominant oscillation
parameters for muon antineutrino disappearance. T2K measures
$\sin^2(\bar{\theta}_{23}) = 0.46^{+0.14}_{-0.06}$ and $\Delta \bar{m}^2_{32} =
2.50^{+0.3}_{-0.2} \times 10^{-3} \mbox{eV}^2$, which is consistent with
previous T2K measurements of the neutrino oscillation parameters and existing
antineutrino measurements.


title:
General relativity and the growth of a sub-discipline "gravitation" in
  the German speaking physics community

abstract:
  We will follow the growth of gravitational theory in Germany from 1915 to the
1990s, i.e., relativistic theories of gravitation, mainly Einstein's, as a
branch of physics in the sense of social, more precisely institutional history.
As criteria for a continued professionalizing of the field, we use the numbers
of published research papers, reviews, monographs, courses at universities,
appointments of lecturers or professors as well as the status of those involved
(members of academies). The foundation of special institutes for gravitational
research and of particular divisions of physical societies forms the final
stage of this process of institutionalization. At present, an
institutionalization of research in relativistic gravitation has been achieved
in Germany through a thriving topical section "Relativity and Gravitation" of
the German Physical Society and a Max-Planck-Institute for Gravitational
Physics. While an institutionalization of the field became achieved, the
situation for young German relativists for entering into research in the field
was not noticeably improved. Much of research in general relativity still is
done at universities in rather small groups, the continuity of which is not
guaranteed.


title:
Volume and surface contributions to the nuclear symmetry energy within
  the coherent density fluctuation model

abstract:
  The volume and surface components of the nuclear symmetry energy (NSE) and
their ratio are calculated within the coherent density fluctuation model
(CDFM). The estimations use the results of the model for the NSE in finite
nuclei based on the Brueckner energy-density functional for nuclear matter. In
addition, we present results for the NSE and its volume and surface
contributions obtained by using the Skyrme energy-density functional. The CDFM
weight function is obtained using the proton and neutron densities from the
self-consistent HF+BCS method with Skyrme interactions. We present and discuss
the values of the volume and surface contributions to the NSE and their ratio
obtained for the Ni, Sn, and Pb isotopic chains studying their isotopic
sensitivity. The results are compared with estimations of other approaches
which have used available experimental data on binding energies, neutron-skin
thicknesses, excitation energies to isobaric analog states (IAS) and also with
results of other theoretical methods.


title:
The XMM Newton and INTEGRAL observations of the supergiant fast X-ray
  transient IGR J16328-4726

abstract:
  The accretion mechanism producing the short flares observed from the
Supergiant Fast X-ray Transients (SFXT) is still highly debated and forms a
major part in our attempts to place these X-ray binaries in the wider context
of the High Mass X-ray Binaries.
  We report on a 216 ks INTEGRAL observation of the SFXT IGR J16328-4726
(August 24-27, 2014) simultaneous with two fixed-time observations with XMM
Newton (33ks and 20ks) performed around the putative periastron passage, in
order to investigate the accretion regime and the wind properties during this
orbital phase. During these observations, the source has shown luminosity
variations, from 4x10^{34} erg/s to 10^{36} erg/s, linked to spectral
properties changes. The soft X-ray continuum is well modeled by a power law
with a photon index varying from 1.2 up to 1.7 and with high values of the
column density in the range 2-4x10^{23}/cm^2. We report on the presence of iron
lines at 6.8-7.1 keV suggesting that the X-ray flux is produced by accretion of
matter from the companion wind characterized by density and temperature
inhomogeneities.


title:
Stochastic Symplectic and Multi-Symplectic Methods for Nonlinear
  Schr\"odinger Equation with White Noise Dispersion

abstract:
  We indicate that the nonlinear Schr\"odinger equation with white noise
dispersion possesses stochastic symplectic and multi-symplectic structures.
Based on these structures, we propose the stochastic symplectic and
multi-symplectic methods, which preserve the continuous and discrete charge
conservation laws, respectively. Moreover, we show that the proposed methods
are convergent with temporal order one in probability. Numerical experiments
are presented to verify our theoretical results.


title:
Estimates for the kinetic transport equation in hyperbolic Sobolev
  spaces

abstract:
  We establish smoothing estimates in the framework of hyperbolic Sobolev
spaces for the velocity averaging operator $\rho$ of the solution of the
kinetic transport equation. If the velocity domain is either the unit sphere or
the unit ball, then, for any exponents $q$ and $r$, we find a characterisation
of the exponents $\beta_+$ and $\beta_-$, except possibly for an endpoint case,
for which $D_+^{\beta_+}D_-^{\beta_-} \rho$ is bounded from space-velocity
$L^2_{x,v}$ to space-time $L^q_tL^r_x$. Here, $D_+$ and $D_-$ are the classical
and hyperbolic derivative operators, respectively. In fact, we shall provide an
argument which unifies these velocity domains and the velocity averaging
estimates in either case are shown to be equivalent to mixed-norm bounds on the
cone multiplier operator acting on $L^2$. We develop our ideas further in
several ways, including estimates for initial data lying in certain Besov
spaces, for which a key tool in the proof is the sharp $\ell^p$ decoupling
theorem recently established by Bourgain and Demeter. We also show that the
level of permissible smoothness increases significantly if we restrict
attention to initial data which are radially symmetric in the spatial variable.


title:
Assessment of Quantum Annealing for the Construction of Satisfiability
  Filters

abstract:
  Satisfiability filters, introduced by S. A. Weaver et al. in 2014, are a new
and promising type of filters to address set membership testing. In order to
construct satisfiability filters, it is necessary to find disparate solutions
to hard random $k$-SAT problems. This paper compares simulated annealing,
simulated quantum annealing and walkSAT, an open-source SAT solver, in terms of
their ability to find such solutions. The results indicate that solutions found
by simulated quantum annealing are generally less disparate than solutions
found by the other solvers and therefore less useful for the construction of
satisfiability filters.


title:
Hall-effect within the colossal magnetoresistive semi-metallic state of
  MoTe2

abstract:
  Here, we report a systematic study on the Hall-effect of the semi-metallic
state of bulk MoTe$_2$, which was recently claimed to be a candidate for a
novel type of Weyl semi-metallic state. The temperature ($T$) dependence of the
carrier densities and of their mobilities, as estimated from a numerical
analysis based on the isotropic two-carrier model, indicates that its
exceedingly large and non-saturating magnetoresistance may be attributed to a
near perfect compensation between the densities of electrons and holes at low
temperatures. A sudden increase in hole density, with a concomitant rapid
increase in the electron mobility below $T \sim 40$ K, leads to comparable
densities of electrons and holes at low temperatures suggesting a possible
electronic phase-transition around this temperature.


title: Numerical solution of Maxwell equations for s-wave superconductors

abstract:
  We report the numerical solutions of the system of equations, which describes
the electrodynamics of s-wave superconductors, for time independent fields and
half-plane superconductor geometry. The results are: i)the applied magnetic
field increases the Ginzburg-Landau (GL) coherence length and suppresses the
superconductivity, ii)the applied electric field decreases GL coherence length
and supports the superconductivity, iii) if the applied magnetic field is fixed
and the applied electric field increases the London penetration depth of the
magnetic field decreases. The main conclusion is that applying electric field
at very low temperature one increases the critical magnetic field. This result
is experimentally testable.


title: Conformally Einstein product spaces

abstract:
  We study pseudo-Riemannian Einstein manifolds which are conformally
equivalent with a metric product of two pseudo-Riemannian manifolds.
Particularly interesting is the case where one of these manifolds is
1-dimensional and the case where the conformal factor depends on both manifolds
simultaneously. If both factors are at least 3-dimensional then the latter case
reduces to the product of two Einstein spaces, each of the special type
admitting a non-trivial conformal gradient field. These are completely
classified. If each factor is 2-dimensional, there is a special family of
examples of non-constant curvature (called extremal metrics by Calabi), where
in each factor the gradient of the Gaussian curvature is a conformal vector
field. Then the metric of the 2-manifold is a warped product where the warping
function is the first derivative of the Gaussian curvature. Moreover we find
explicit examples of Einstein warped products with a 1-dimensional fibre and
such with a 2-dimensional base. Therefore in the 4-dimensional case our Main
Theorem points towards a local classification of conformally Einstein products.
Finally we prove an assertion in the book by A.Besse on complete Einstein
warped products with a 2-dimensional base. All solutions can be explicitly
written in terms of integrals of elementary functions.


title: RGBD Salient Object Detection via Deep Fusion

abstract:
  Numerous efforts have been made to design different low level saliency cues
for the RGBD saliency detection, such as color or depth contrast features,
background and color compactness priors. However, how these saliency cues
interact with each other and how to incorporate these low level saliency cues
effectively to generate a master saliency map remain a challenging problem. In
this paper, we design a new convolutional neural network (CNN) to fuse
different low level saliency cues into hierarchical features for automatically
detecting salient objects in RGBD images. In contrast to the existing works
that directly feed raw image pixels to the CNN, the proposed method takes
advantage of the knowledge in traditional saliency detection by adopting
various meaningful and well-designed saliency feature vectors as input. This
can guide the training of CNN towards detecting salient object more effectively
due to the reduced learning ambiguity. We then integrate a Laplacian
propagation framework with the learned CNN to extract a spatially consistent
saliency map by exploiting the intrinsic structure of the input image.
Extensive quantitative and qualitative experimental evaluations on three
datasets demonstrate that the proposed method consistently outperforms
state-of-the-art methods.


title: Detecting supernovae neutrino with Earth matter effect

abstract:
  We study Earth matter effect in oscillation of supernovae neutrinos. We show
that detecting Earth matter effect gives an independent measurement of spectra
of supernovae neutrinos, i.e. the flavor difference of the spectra of
supernovae neutrinos. We study the effect of energy resolution and angular
resolution of final electron or positron on detecting the signal of Earth
matter effect. We show that varying the widths of energy bins in analysis can
change the signal strength of Earth matter effect and the statistical
fluctuation. A reasonable choice of energy bins can both suppress the
statistical fluctuation and make out a good signal strength relative to the
statistical fluctuation. Neutrino detectors with good energy resolution and
good angular resolution are therefore preferred so that there are more freedom
to vary energy bins and to optimize the signal of Earth matter effect in
analyzing events of supernovae neutrinos.


title: The flat phase of quantum polymerized membranes

abstract:
  We investigate the flat phase of quantum polymerized phantom membranes by
means of a nonperturbative renormalization group approach. We first implement
this formalism for general quantum polymerized membranes and derive the flow
equations that encompass both quantum and thermal fluctuations. We then deduce
and analyze the flow equations relevant to study the flat phase and discuss
their salient features : quantum to classical crossover and, in each of these
regimes, strong to weak coupling crossover. We finally illustrate these
features in the context of free standing graphene physics.


title: Current-driven periodic domain wall creation in ferromagnetic nano-wires

abstract:
  We predict the electrical generation and injection of domain walls into a
ferromagnetic nano-wire without the need of an assisting magnetic field. Our
analytical and numerical results show that above a critical current $j_{c}$
domain walls are injected into the nano-wire with a period $T \sim
(j-j_{c})^{-1/2}$. Importantly, domain walls can be produced periodically even
in a simple exchange ferromagnet with uniaxial anisotropy, without requiring
any standard "twisting" interaction like Dzyaloshinskii-Moriya or dipole-dipole
interactions. We show analytically that this process and the period exponents
are universal and do not depend on the peculiarities of the microscopic
Hamiltonian. Finally we give a specific proposal for an experimental
realization.


title:
Long-range Heisenberg models in quasi-periodically driven crystals of
  trapped ions

abstract:
  We introduce a theoretical scheme for the analog quantum simulation of
long-range XYZ models using current trapped-ion technology. In order to achieve
fully-tunable Heisenberg-type interactions, our proposal requires a
state-dependent dipole force along a single vibrational axis, together with a
combination of standard resonant and detuned carrier drivings. We discuss how
this quantum simulator could explore the effect of long-range interactions on
the phase diagram by combining an adiabatic protocol with the quasi-periodic
drivings and test the validity of our scheme numerically. At the isotropic
Heisenberg point, we show that the long-range Hamiltonian can be mapped onto a
non-linear sigma model with a topological term that is responsible for its
low-energy properties, and we benchmark our predictions with
Matrix-Product-State numerical simulations.

categories: quant-ph cond-mat.mes-hall cond-mat.quant-gas cond-mat.str-el


title: Rooted Uniform Monotone Minimum Spanning Trees

abstract:
  We study the construction of the minimum cost spanning geometric graph of a
given rooted point set $P$ where each point of $P$ is connected to the root by
a path that satisfies a given property. We focus on two properties, namely the
monotonicity w.r.t. a single direction ($y$-monotonicity) and the monotonicity
w.r.t. a single pair of orthogonal directions ($xy$-monotonicity). We propose
algorithms that compute the rooted $y$-monotone ($xy$-monotone) minimum
spanning tree of $P$ in $O(|P|\log^2 |P|)$ (resp. $O(|P|\log^3 |P|)$) time when
the direction (resp. pair of orthogonal directions) of monotonicity is given,
and in $O(|P|^2\log|P|)$ time when the optimum direction (resp. pair of
orthogonal directions) has to be determined. We also give simple algorithms
which, given a rooted connected geometric graph, decide if the root is
connected to every other vertex by paths that are all monotone w.r.t. the same
direction (pair of orthogonal directions).


title: The Spectral Sharpness Angle of Gamma-ray Bursts

abstract:
  We explain the results of Yu et al. (2015b) of the novel sharpness angle
measurement to a large number of spectra obtained from the Fermi gamma-ray
burst monitor. The sharpness angle is compared to the values obtained from
various representative emission models: blackbody, single-electron synchrotron,
synchrotron emission from a Maxwellian or power-law electron distribution. It
is found that more than 91% of the high temporally and spectrally resolved
spectra are inconsistent with any kind of optically thin synchrotron emission
model alone. It is also found that the limiting case, a single temperature
Maxwellian synchrotron function, can only contribute up to 58+23 -18% of the
peak flux. These results show that even the sharpest but non-realistic case,
the single-electron synchrotron function, cannot explain a large fraction of
the observed spectra. Since any combination of physically possible synchrotron
spectra added together will always further broaden the spectrum, emission
mechanisms other than optically thin synchrotron radiation are likely required
in a full explanation of the spectral peaks or breaks of the GRB prompt
emission phase.


title:
Real-time Rescheduling in Distributed Railway Network: An Agent-Based
  Approach

abstract:
  This paper addresses the issues concerning the rescheduling of a static
timetable in case of a disaster encountered in a large and complex railway
network system. The proposed approach tries to modify the schedule so as to
minimise the overall delay of trains. This is achieved by representing the
rescheduling problem in the form of a Petri-Net and the highly uncertain
disaster recovery times in such a model is handled as Markov Decision Processes
(MDP ). For solving the rescheduling problem, a istributed Constraint
Optimisation (DCOP ) based strategy involving the use of autonomous agents is
used to generate the desired schedule. The proposed approach is evaluated on
the actual schedule of the Eastern Railways, India by constructing vari- ous
disaster scenarios using the Java Agent DEvelopment Framework (JADE). When
compared to the existing approaches, the proposed framework substantially
reduces the delay of trains after rescheduling.


title:
Novel 16-QAM and 64-QAM Near-Complementary Sequences with Low PMEPR in
  OFDM Systems

abstract:
  In this paper, we firstly propose a novel construction of $16$-quadrature
amplitude modulation (QAM) near-complementary sequences with low peak-to-mean
envelope power ratio (PMEPR) in orthogonal frequency division multiplexing
(OFDM) systems. The proposed $16$-QAM near-complementary sequences can be
constructed by utilizing novel nonlinear offsets, where the length of the
sequences is $n=2^m$. The family size of the newly constructed $16$-QAM
near-complementary sequences is $8\times (\frac{m!}{2})\times 4^{m+1}$, and the
PMEPR of these sequences is proven to satisfy ${\textrm{PMEPR}}\leq 2.4$. Thus,
the proposed construction can generate a number of $16$-QAM near-complementary
sequences with low PMEPR, resulting in the improvement of the code rate in OFDM
systems. Furthermore, we also propose a novel construction of $64$-QAM
near-complementary sequences with low PMEPR, which is the first proven
construction of $64$-QAM near-complementary sequences. The PMEPRs of two types
of the proposed $64$-QAM near-complementary sequences are proven to satisfy
that ${\textrm{PMEPR}}\leq 3.62$ or ${\textrm{PMEPR}}\leq 2.48$, respectively.
The family size of the newly constructed $64$-QAM near-complementary sequences
is $64\times (\frac{m!}{2})\times 4^{m+1}$.


title: Characterizations of asymmetric truncated Toeplitz operators

abstract:
  The aim of this paper is to investigate asymmetric truncated Toeplitz
operators with $L^2$ symbols between two different model spaces given by inner
functions such that one divides the other. Characterizations of these operators
are given in terms of rank two operators. A description of the class of symbols
for which the corresponding asymmetric truncated Toeplitz operator is equal to
the zero operator is also given.


title: DeepBinaryMask: Learning a Binary Mask for Video Compressive Sensing

abstract:
  In this paper, we propose a novel encoder-decoder neural network model
referred to as DeepBinaryMask for video compressive sensing. In video
compressive sensing one frame is acquired using a set of coded masks (sensing
matrix) from which a number of video frames is reconstructed, equal to the
number of coded masks. The proposed framework is an end-to-end model where the
sensing matrix is trained along with the video reconstruction. The encoder
learns the binary elements of the sensing matrix and the decoder is trained to
recover the unknown video sequence. The reconstruction performance is found to
improve when using the trained sensing mask from the network as compared to
other mask designs such as random, across a wide variety of compressive sensing
reconstruction algorithms. Finally, our analysis and discussion offers insights
into understanding the characteristics of the trained mask designs that lead to
the improved reconstruction quality.


title:
Secrecy and Energy Efficiency in Massive MIMO Aided Heterogeneous C-RAN:
  A New Look at Interference

abstract:
  In this paper, we investigate the potential benefits of the massive
multiple-input multiple-output (MIMO) enabled heterogeneous cloud radio access
network (C-RAN) in terms of the secrecy and energy efficiency (EE). In this
network, both remote radio heads (RRHs) and massive MIMO macrocell base
stations (BSs) are deployed and soft fractional frequency reuse (S-FFR) is
adopted to mitigate the inter-tier interference. We first examine the physical
layer security by deriving the area ergodic secrecy rate and secrecy outage
probability. Our results reveal that the use of massive MIMO and C-RAN can
greatly improve the secrecy performance. For C-RAN, a large number of RRHs
achieves high area ergodic secrecy rate and low secrecy outage probability, due
to its powerful interference management. We find that for massive MIMO aided
macrocells, having more antennas and serving more users improves secrecy
performance. Then we derive the EE of the heterogeneous C-RAN, illustrating
that increasing the number of RRHs significantly enhances the network EE.
Furthermore, it is indicated that allocating more radio resources to the RRHs
can linearly increase the EE of RRH tier and improve the network EE without
affecting the EE of the macrocells.


title: The analysis of batch sojourn-times in polling systems

abstract:
  We consider a cyclic polling system with general service times, general
switch-over times, and simultaneous batch arrivals. This means that at an
arrival epoch, a batch of customers may arrive simultaneously at the different
queues of the system. For the locally-gated, globally-gated, and exhaustive
service disciplines, we study the batch sojourn-time, which is defined as the
time from an arrival epoch until service completion of the last customer in the
batch. We obtain for the different service disciplines exact expressions for
the Laplace-Stieltjes transform of the steady-state batch sojourn-time
distribution, which can be used to determine the moments of the batch
sojourn-time, and in particular, its mean. However, we also provide an
alternative, more efficient way to determine the mean batch sojourn-time, using
Mean Value Analysis. Finally, we compare the batch sojourn-times for the
different service disciplines in several numerical examples. Our results show
that the best performing service discipline, in terms of minimizing the batch
sojourn-time, depends on system characteristics.


title: Numerical study of the quantum valley Hall effect

abstract:
  Under more consideration, it seems that bulk valley current mediated nonlocal
resistance is inconsistent with Landau-Buttiker formalism. We believe
Landau-Buttiker formalism is right and the declared bulk valley current
mediated nonlocal resistance is questionable and the experimental signal should
be attributed to other origins.


title:
Hidden Photon Compton and Bremsstrahlung in White Dwarf Anomalous
  Cooling and Luminosity Functions

abstract:
  We computed the contribution of the Compton and Bremsstrahlung processes with
a hidden light $U(1)_D$ neutral boson $\gamma_D$ to the white dwarf G117-B15A
anomalous cooling rate, as well as the white dwarf luminosity functions (WDLF).
We demonstrated that for a light mass of hidden photon ($m_{\gamma_D} \ll$ a
few keV), compatible results are obtained for the recent Sloan Digital Sky
Survey and the SuperCOSMOS Sky Survey observation, but the stringent limits
would be imposed on the kinetic mixing $\epsilon$. We performed $\chi^2$-tests
to acquire a quantitative assessment on the WDLF data in the context of our
model, computed under the assumption of different kinetic mixing $\epsilon$,
the age of the oldest computed stars $T_D$, and a constant star formation rate
$\psi$. Then taken together, the WDLF analysis of 2$\sigma$ confidence interval
$\epsilon = \left( 0.37^{+0.35}_{-0.37}\right) \times 10^{-14}$ is barely
consistent with the cooling rate analysis at 2$\sigma$ regime $\epsilon =
\left( 0.97^{+0.35}_{-0.37} \right) \times 10^{-14}$. The two approaches used
here agree with each other in yielding an anomalous cooling rate of white dwarf
in this luminosity range.


title: Partitioning a graph into a cycle and a sparse graph

abstract:
  In this paper we investigate results of the form "every graph $G$ has a cycle
$C$ such that the induced subgraph of $G$ on $V(G)\setminus V(C)$ has small
maximum degree." Such results haven't been studied before, but are motivated by
the Bessy and Thomass\'e Theorem which states that the vertices of any graph
$G$ can be covered by a cycle $C_1$ in $G$ and disjoint cycle $C_2$ in the
complement of $G$.
  There are two main theorems in this paper. The first is that every graph has
a cycle with $\Delta(G[V(G)\setminus V(C)])\leq \frac12(|V(G)\setminus
V(C)|-1)$. The bound on the maximum degree $\Delta(G[V(G)\setminus V(C)])$ is
best possible. The second theorem is that every $k$-connected graph $G$ has a
cycle with $\Delta(G[V(G)\setminus V(C)])\leq \frac1{k+1}|V(G)\setminus
V(C)|+3$. We also give an application of this second theorem to a conjecture
about partitioning edge-coloured complete graphs into monochromatic cycles.


title: Tractable Stochastic Geometry Model for IoT Access in LTE Networks

abstract:
  The Internet of Things (IoT) is large-scale by nature. This is not only
manifested by the large number of connected devices, but also by the high
volumes of traffic that must be accommodated. Cellular networks are indeed a
natural candidate for the data tsunami the IoT is expected to generate in
conjunction with legacy human-type traffic. However, the random access process
for scheduling request represents a major bottleneck to support IoT via LTE
cellular networks. Accordingly, this paper develops a mathematical framework to
model and study the random access channel (RACH) scalability to accommodate IoT
traffic. The developed model is based on stochastic geometry and discrete time
Markov chains (DTMC) to account for different access strategies and possible
sources of inter-cell and intra-cell interferences. To this end, the developed
model is utilized to assess and compare three different access strategies,
which incorporate a combination of transmission persistency, back-off, and
power ramping. The analysis and the results showcased herewith clearly
illustrate the vulnerability of the random access procedure as the IoT
intensity grows. Finally, the paper offers insights into effective scenarios
for each transmission strategy in terms of IoT intensity and RACH detection
thresholds.


title: Emergence of gauge invariance from Nambu models

abstract:
  In the framework of a hamiltonian nonperturbative approach we show that after
demanding current conservation together with the Gauss constraints at some
initial time in a nonabelian Nambu model, we recover the corresponding
Yang-Mills theory. In this way, the spontaneous Lorentz symmetry breaking
present in the Nambu model becomes unobservable and the Goldstone modes can be
identified with the corresponding gauge bosons.


title: Heat content determines planar triangles

abstract: We prove that heat content determines planar triangles.


title:
Spin Hall conductance in a Y-shaped junction device in presence of
  tunable spin-orbit coupling

abstract:
  We study spin Hall effect in a three terminal Y-shaped device in presence of
tunable spin-orbit (SO) interactions via Landauer-B\"{u}ttiker formalism. We
have evolved a fabrication technique for creating different angular separation
between the two arms of the Y-shaped device so as to investigate the effect of
angular width on the spin Hall conductance (SHC). A smaller angular separation
yields a larger conductance. Also arbitrary orientation of the spin
quantization axes yields interesting three dimensional contour maps for the SHC
corresponding to different angular separation of the Y-shaped device. The
results explicitly show breaking of the spin rotational symmetry. Further a
systematic study is carried out to compare and contrast between the different
SO terms, such as Rashba and Dresselhaus SO interactions and the interplay of
the angular separation therein.


title:
Location-aware ICI Reduction in MIMO-OFDM Downlinks for High-speed
  Railway Communication Systems

abstract:
  High mobility may destroy the orthogonality of subcarriers in OFDM systems,
resulting in inter- carrier interference (ICI), which may greatly reduce the
service quantity of high-speed railway (HSR) wireless communications. This
paper focuses on ICI mitigation in the HSR downlinks with distributed transmit
antennas.For such a system, its key feature is that the ICIs are caused by
multiple carrier frequency offsets corresponding to multiple transmit antennas.
Meanwhile, the channel of HSR is fast time varying, which is another big
challenge in the system design. In order to get a good performance, low
complexity real-time ICI reduction is necessary. To this end, we first analyzed
the property of the ICI matrix in AWGN and Rician scenarios, respectively.
Then, we propose corresponding low complexity ICI reduction methods based on
location information. For evaluating the effectiveness of the proposed method,
the expectation and variance of remaining interference after ICI reduction is
analyzed with respect to Rician K-factor. In addition, the service quantity and
the bandwidth and computation cost are also discussed. Numerical results are
presented to verify our theoretical analysis and the effectiveness of proposed
ICI reduction methods. One important observation is that our proposed ICI
mitigation method can achieve almost the same service quantity with that
obtained on the case without ICI at 300km/h,that is, ICI has been completely
eliminated. Numerical results also show that the scenarios with Rician
K-factors over 30dB can be considered as AWGN scenarios, which may provide
valuable insights on future system designs.


title: Extended Graded Modalities in Strategy Logic

abstract:
  Strategy Logic (SL) is a logical formalism for strategic reasoning in
multi-agent systems. Its main feature is that it has variables for strategies
that are associated to specific agents with a binding operator. We introduce
Graded Strategy Logic (GradedSL), an extension of SL by graded quantifiers over
tuples of strategy variables, i.e., "there exist at least g different tuples
(x_1,...,x_n) of strategies" where g is a cardinal from the set N union
{aleph_0, aleph_1, 2^aleph_0}. We prove that the model-checking problem of
GradedSL is decidable. We then turn to the complexity of fragments of GradedSL.
When the g's are restricted to finite cardinals, written GradedNSL, the
complexity of model-checking is no harder than for SL, i.e., it is
non-elementary in the quantifier rank. We illustrate our formalism by showing
how to count the number of different strategy profiles that are Nash equilibria
(NE), or subgame-perfect equilibria (SPE). By analyzing the structure of the
specific formulas involved, we conclude that the important problems of checking
for the existence of a unique NE or SPE can both be solved in 2ExpTime, which
is not harder than merely checking for the existence of such equilibria.


title: Representing Strategies

abstract:
  Quite some work in the ATL-tradition uses the differences between various
types of strategies (positional, uniform, perfect recall) to give alternative
semantics to the same logical language. This paper contributes to another
perspective on strategy types, one where we characterise the differences
between them on the syntactic (object language) level. This is important for a
more traditional knowledge representation view on strategic content. Leaving
differences between strategy types implicit in the semantics is a sensible idea
if the goal is to use the strategic formalism for model checking. But, for
traditional knowledge representation in terms of object language level
formulas, we need to extent the language. This paper introduces a strategic
STIT syntax with explicit operators for knowledge that allows us to charaterise
strategy types. This more expressive strategic language is interpreted on
standard ATL-type concurrent epistemic game structures. We introduce rule-based
strategies in our language and fruitfully apply them to the representation and
characterisation of positional and uniform strategies. Our representations
highlight crucial conditions to be met for strategy types. We demonstrate the
usefulness of our work by showing that it leads to a critical reexamination of
coalitional uniform strategies.


title: Extending Finite Memory Determinacy to Multiplayer Games

abstract:
  We show that under some general conditions the finite memory determinacy of a
class of two-player win/lose games played on finite graphs implies the
existence of a Nash equilibrium built from finite memory strategies for the
corresponding class of multi-player multi-outcome games. This generalizes a
previous result by Brihaye, De Pril and Schewe. For most of our conditions we
provide counterexamples showing that they cannot be dispensed with.
  Our proofs are generally constructive, that is, provide upper bounds for the
memory required, as well as algorithms to compute the relevant winning
strategies.


title: Direct electronic measurement of Peltier cooling and heating in graphene

abstract:
  Thermoelectric effects allow the generation of electrical power from waste
heat and the electrical control of cooling and heating. Remarkably, these
effects are also highly sensitive to the asymmetry in the density of states
around the Fermi energy and can therefore be exploited as probes of distortions
in the electronic structure at the nanoscale. Here we consider two-dimensional
graphene as an excellent nanoscale carbon material for exploring the
interaction between electronic and thermal transport phenomena, by presenting a
direct and quantitative measurement of the Peltier component to electronic
cooling and heating in graphene. Thanks to an architecture including nanoscale
thermometers, we detected Peltier component modulation of up to 15 mK for
currents of 20 $\mu$A at room temperature and observed a full reversal between
Peltier cooling and heating for electron and hole regimes. This fundamental
thermodynamic property is a complementary tool for the study of nanoscale
thermoelectric transport in two-dimensional materials.


title:
A Study of the Evolution of the Close Binaries Cyg X-3, IC 10 X-1, NGC
  300 X-1, SS 433, and M33 X-7 Using the "Scenario Machine"

abstract:
  Evolutionary tracks for the X-ray binaries Cyg X-3, IC 10 X-1, NGC 300 X-1,
SS 433, and M33 X-7 are computed using the Scenario Machine code. The compact
objects in IC 10 X-1, NGC 300 X-1, and M33 X-7 are the most massive stellar
mass black hole candidates. Cyg X-3, IC 10 X-1, and NGC 300 X-1 are the only
currently known Wolf-Rayet stars with degenerate companions. SS 433 is the only
known superaccretor in the Milky Way. Therefore, the stars studied provide
excellent laboratories for testing scenarios for the evolution of binaries
under extreme conditions. The classical evolutionary scenario is consistent
with modern observational data. During the evolution of these binaries,
hypernova explosions accompanied by the collapse of stellar cores with large
angular momenta can occur, leading to long gamma-ray bursts. At the end of
their evolution, Cyg X-3, IC 10 X-1, NGC 300 X-1, and SS 433 may form binary
relativistic objects, which will subsequently merge due to the radiation of
gravitational waves. The gravitational waves emitted during mergers of
relativistic stars should be detectable by existing and future
gravitational-wave antennas. In the course of its future evolution, M33 X-7
will pass through a Thorne-Zytkow stage. The formation of a Thorne-Zytkow
object can also be accompanied by gravitational-wave radiation. Figure 2
contains two merging black holes with masses almost identical to the second
LIGO event GW151226.


title: Phase separation on the sphere: Patchy particles and self-assembly

abstract:
  Motivated by observations of heterogeneous domain structure on the surface of
cells, we consider a minimal model to describe the dynamics of phase separation
on the surface of a spherical particle. Finite-size effects on the curved
particle surface lead to the formation of long-lived, metastable states for
which the density is distributed in patches over the particle surface. We study
the time evolution and stability of these states as a function of both the
particle size and the thermodynamic parameters. Finally, by connecting our
findings with studies of patchy particles, we consider the implications for
self-assembly in many-particle systems.


title:
Approximate maximum entropy principles via Goemans-Williamson with
  applications to provable variational methods

abstract:
  The well known maximum-entropy principle due to Jaynes, which states that
given mean parameters, the maximum entropy distribution matching them is in an
exponential family, has been very popular in machine learning due to its
"Occam's razor" interpretation. Unfortunately, calculating the potentials in
the maximum-entropy distribution is intractable \cite{bresler2014hardness}. We
provide computationally efficient versions of this principle when the mean
parameters are pairwise moments: we design distributions that approximately
match given pairwise moments, while having entropy which is comparable to the
maximum entropy distribution matching those moments.
  We additionally provide surprising applications of the approximate maximum
entropy principle to designing provable variational methods for partition
function calculations for Ising models without any assumptions on the
potentials of the model. More precisely, we show that in every temperature, we
can get approximation guarantees for the log-partition function comparable to
those in the low-temperature limit, which is the setting of optimization of
quadratic forms over the hypercube. \cite{alon2006approximating}


title:
Star-forming galaxies as the origin of IceCube neutrinos: Reconciliation
  with Fermi-LAT gamma rays

abstract:
  Cosmic ray accelerators like supernova and hypernova remnants in star forming
galaxies are one of the most plausible sources of the IceCube observed diffuse
astrophysical neutrinos. The neutrino producing hadronic processes will also
produce a diffuse gamma ray flux, constrained by the Fermi-LAT bounds. The fact
that point sources like blazars also contribute to the diffuse gamma ray flux
implies large gamma opacity of the neutrino sources. Indeed, for these high
redshift star forming galaxies the gamma absorption during the intergalactic
propagation can be significant. In addition, large gamma attenuation inside
these extreme source galaxies can reduce the cascade component of the diffuse
flux. Under the current astrophysical uncertainties affecting these absorptions
processes, we find the associated diffuse gamma ray flux can remain compatible
with the current Fermi-LAT bounds.


title:
Automated Instrumentation for High-Temperature Seebeck Coefficient
  Measurements

abstract:
  In this work, we report the fabrication of fully automated experimental setup
for high temperature Seebeck coefficient ({\alpha}) measurement. The K-type
thermocouples are used to measure the average temperature of the sample and
Seebeck voltage across it. The temperature dependence of the Seebeck
coefficients of the thermocouple and its negative leg is taken care by using
the integration method. Steady state based differential technique is used for
{\alpha} measurement. Use of limited component and thin heater simplify the
sample holder design and minimize the heat loss. The power supplied to the
heater decides the temperature difference across the sample and the measurement
is carried out by achieving the steady state. The LabVIEW based program is
built to automize the whole measurement process. The complete setup is
fabricated by using commonly available materials in the market. This instrument
is standardized for materials with a wide range of {\alpha} and for the wide
range of {\Delta}T across the specimen. For this purpose, high temperature
measurement of {\alpha} of iron, constantan, bismuth, and Bi_0.36 Sb_1.45 Te_3
samples are carried out and data obtained from these samples are found to be in
good agreement with the reported data.


title: Modal noise characterisation of a hybrid reformatter

abstract:
  This paper reports on the modal noise characterisation of a hybrid
reformatter. The device consists of a multicore-fibre photonic lantern and an
ultrafast laser-inscribed slit reformatter. It operates around 1550 nm and
supports 92 modes. Photonic lanterns transform a multimode signal into an array
of single-mode signals, and thus combine the high coupling efficiency of
multimode fibres with the diffraction-limited performance of single-mode
fibres. This paper presents experimental measurements of the device point
spread function properties under different coupling conditions, and its
throughput behaviour at high spectral resolution. The device demonstrates
excellent scrambling but its point spread function is not completely stable.
Mode field diameter and mode barycentre position at the device output vary as
the multicore-fibre is agitated due to the fabrication imperfections.


title:
A Necessary and Sufficient Criterion for the Separability of Quantum
  State

abstract:
  Quantum entanglement has been regarded as one of the key physical resources
in quantum information sciences. However, the determination of whether a mixed
state is entangled or not is generally a hard issue, even for the bipartite
system. In this work we propose an operational necessary and sufficient
criterion for the separability of an arbitrary bipartite mixed state, by virtue
of the multiplicative Horn's problem. The work follows the work initiated by
Horodecki {\it et. al.} and uses the Bloch vector representation introduced to
the separability problem by J. De Vicente. In our criterion, a complete and
finite set of inequalities to determine the separability of compound system is
obtained, which may be viewed as trade-off relations between the quantumness of
subsystems. We apply the obtained result to explicit examples, e.g. the
separable decomposition of arbitrary dimension Werner state and isotropic
state.


title:
Neutral hydrogen and magnetic fields in M83 observed with the SKA
  Pathfinder KAT-7

abstract:
  We present new KAT-7 observations of the neutral hydrogen (HI) spectral line,
and polarized radio continuum emission, in the grand design spiral M83. These
observations provide a sensitive probe of the outer disk structure and
kinematics, revealing a vast and massive neutral gas distribution that appears
to be tightly coupled to the interaction of the galaxy with the environment. We
present a new rotation curve extending out to a radius of 50 kpc. Based on our
new HI dataset and comparison with multiwavelength data from the literature we
consider the impact of mergers on the outer disk and discuss the evolution of
M83. We also study the periphery of the HI distribution and reveal a sharp edge
to the gaseous disk that is consistent with photoionization or ram pressure
from the intergalactic medium (IGM). The radio continuum emission is not nearly
as extended as the HI and is restricted to the main optical disk. Despite the
relatively low angular resolution we are able to draw broad conclusions about
the large-scale magnetic field topology. We show that the magnetic field of M83
is similar in form to other nearby star forming galaxies, and suggest that the
disk-halo interface may host a large-scale regular magnetic field.


title: Human-Planned Robotic Grasp Ranges: Capture and Validation

abstract:
  Leveraging human grasping skills to teach a robot to perform a manipulation
task is appealing, but there are several limitations to this approach:
time-inefficient data capture procedures, limited generalization of the data to
other grasps and objects, and inability to use that data to learn more about
how humans perform and evaluate grasps. This paper presents a data capture
protocol that partially addresses these deficiencies by asking participants to
specify ranges over which a grasp is valid. The protocol is verified both
qualitatively through online survey questions (where 95.38% of within-range
grasps are identified correctly with the nearest extreme grasp) and
quantitatively by showing that there is small variation in grasps ranges from
different participants as measured by joint angles, contact points, and
position. We demonstrate that these grasp ranges are valid through testing on a
physical robot (93.75% of grasps interpolated from grasp ranges are
successful).


title:
Improved EDELWEISS-III sensitivity for low-mass WIMPs using a profile
  likelihood approach

abstract:
  We report on a dark matter search for a Weakly Interacting Massive Particle
(WIMP) in the mass range $m_\chi \in [4, 30]\,\mathrm{GeV}/c^2$ with the
EDELWEISS-III experiment. A 2D profile likelihood analysis is performed on data
from eight selected detectors with the lowest energy thresholds leading to a
combined fiducial exposure of 496 kg-days. External backgrounds from $\gamma$-
and $\beta$-radiation, recoils from $^{206}$Pb and neutrons as well as detector
intrinsic backgrounds were modelled from data outside the region of interest
and constrained in the analysis. The basic data selection and most of the
background models are the same as those used in a previously published analysis
based on Boosted Decision Trees (BDT). For the likelihood approach applied in
the analysis presented here, a larger signal efficiency and a subtraction of
the expected background lead to a higher sensitivity, especially for the lowest
WIMP masses probed. No statistically significant signal was found and upper
limits on the spin-independent WIMP-nucleon scattering cross section can be set
with a hypothesis test based on the profile likelihood test statistics. The 90%
C.L. exclusion limit set for WIMPs with $m_\chi = 4\,\mathrm{GeV/}c^2$ is $1.6
\times 10^{-39}\,\mathrm{cm^2}$, which is an improvement of a factor of seven
with respect to the BDT-based analysis. For WIMP masses above
$15\,\mathrm{GeV/}c^2$ the exclusion limits found with both analyses are in
good agreement.


title:
Graviton mass might reduce tension between early and late time
  cosmological data

abstract:
  The standard $\Lambda$-CDM predicts a growth of structures which tends to be
higher than the values of redshift space distortion (RSD) measurements, if the
cosmological parameters are fixed by the CMB data. In this paper we point out
that this discrepancy can be resolved/understood if we assume that the graviton
has a small but non-zero mass. In the context of the Minimal Theory of Massive
Gravity (MTMG), due to infrared Lorentz violations measurable only at present
cosmological scales, the graviton acquires a mass without being haunted by
unwanted extra degrees of freedom. While the so-called self-accelerating branch
of cosmological solutions in MTMG has the same phenomenology for the background
as well as the scalar- and vector-type linear perturbations as the
$\Lambda$-CDM in General Relativity (GR), it is possible to choose another
branch so that the background is the same as that in GR but the evolution of
matter perturbations gets modified by the graviton mass. On studying the fit of
such modified dynamics to the above-mentioned RSD measurements, we find that
the $\Lambda$-CDM model is less probable than MTMG by two orders of magnitude.
With the help of the cross correlation between the integrated Sachs-Wolfe (ISW)
effect and the large scale structure (LSS), the data also pin-down the graviton
mass squared around $\mu^2\approx - (3\times 10^{-33} \rm{eV})^2$, which is
consistent with the latest bound $|\mu^2|<(1.2\times 10^{-22} \rm{eV})^2$ set
by the recent LIGO observation.


title:
Precision, Recall, and Sensitivity of Monitoring Partially Synchronous
  Distributed Systems

abstract:
  Runtime verification focuses on analyzing the execution of a given program by
a monitor to determine if it is likely to violate its specifications. There is
often an impedance mismatch between the assumptions/model of the monitor and
that of the underlying program. This constitutes problems especially for
distributed systems, where the concept of current time and state are inherently
uncertain. A monitor designed with asynchronous system model assumptions may
cause false-positives for a program executing in a partially synchronous
system: the monitor may flag a global predicate that does not actually occur in
the underlying system. A monitor designed with a partially synchronous system
model assumption may cause false negatives as well as false positives for a
program executing in an environment where the bounds on partial synchrony
differ (albeit temporarily) from the monitor model assumptions.
  In this paper we analyze the effects of the impedance mismatch between the
monitor and the underlying program for the detection of conjunctive predicates.
We find that there is a small interval where the monitor assumptions are
hypersensitive to the underlying program environment. We provide analytical
derivations for this interval, and also provide simulation support for
exploring the sensitivity of predicate detection to the impedance mismatch
between the monitor and the program under a partially synchronous system.


title: Consistent Static Models of Local Thermospheric Composition Profiles

abstract:
  The authors investigate the ideal, nondriven multifluid equations of motion
to identify consistent (i.e., truly stationary), mechanically static models for
composition profiles within the thermosphere. These physically faithful
functions are necessary to define the parametric core of future empirical
atmospheric models and climatologies. Based on the strength of interspecies
coupling, the thermosphere has three altitude regions: (1) the lower
thermosphere (herein z < ~100 km), in which all species move together at the
composite fluid velocity with an effective particle mass equal to the average
particle mass of the composite fluid; (2) the upper thermosphere (herein z >
~200 km), in which the species flows are approximately uncoupled; and (3) a
transition region in between, where the effective species particle mass and the
effective species vertical flow interpolate between the solutions for the upper
and lower thermosphere. We place this view in the context of current
terminology within the community, i.e., a fully mixed (lower) region and an
upper region in diffusive equilibrium (DE). The latter condition, DE, currently
used in empirical composition models, does not represent a truly static
composition profile in the presence of finite thermal diffusion. Rather,
species by species hydrostatic balance is a consistent (i.e., stationary)
static representation of vertical thermospheric composition profiles.


title:
Partial orthogonal spreads over $\mathbb{F}_2$ invariant under the
  symmetric and alternating groups

abstract:
  Let m be an integer greater than 2 and let V be a vector space of dimension
2^m over F_2. Let Q be a non-degenerate quadratic form of maximal Witt index
defined on V. We show that the symmetric group S_{2m+1} acts on V as a group of
isometries of Q and permutes the members of a partial orthogonal spread of size
2m+1. This implies that any group of even order 2m or odd order 2m+1 acts
transitively and regularly on a partial orthogonal spread in V. We also show
that the alternating group A_9 acts in a natural manner on a complete spread of
size 9 defined on a vector space of dimension 8 over F_2.


title: There is No McLaughlin Geometry

abstract:
  We determine that there is no partial geometry ${\cal G}$ with parameters
$(s,t,\alpha)=(4,27,2)$. The existence of such a geometry has been a
challenging open problem of interest to researchers for almost 40 years. The
particular interest in ${\cal G}$ is due to the fact that it would have the
exceptional McLaughlin graph as its point graph. Our proof makes extensive use
of symmetry and high-performance distributed computing, and details of our
techniques and checks are provided. One outcome of our work is to show that a
pseudogeometric strongly regular graph achieving equality in the Krein bound
need not be the point graph of any partial geometry.


title: Universalities of thermodynamic signatures in topological phases

abstract:
  Topological insulators (superconductors) are materials that host
symmetry-protected metallic edge states in an insulating (superconducting)
bulk. Although they are well understood, a thermodynamic description of these
materials remained elusive, firstly because the edges yield a non-extensive
contribution to the thermodynamic potential, and secondly because topological
field theories involve non-local order parameters, and cannot be captured by
the Ginzburg-Landau formalism. Recently, this challenge has been overcome: by
using Hill thermodynamics to describe the Bernevig-Hughes-Zhang model in two
dimensions, it was shown that at the topological phase change the thermodynamic
potential does not scale extensively due to boundary effects. Here, we extend
this approach to different topological models in various dimensions (the Kitaev
chain and Su-Schrieffer-Heeger model in one dimension, the Kane-Mele model in
two dimensions and the Bernevig-Hughes-Zhang model in three dimensions) at zero
temperature. Surprisingly, all models exhibit the same universal behavior in
the order of the topological-phase transition, depending on the dimension.
Moreover, we derive the topological phase diagram at finite temperature using
this thermodynamic description, and show that it displays a good agreement with
the one calculated from the Uhlmann phase. Our work reveals unexpected
universalities and opens the path to a thermodynamic description of systems
with a non-local order parameter.


title: Dynamically Generated $\Xi (1690)$

abstract:
  We show that the $\Xi (1690)$ resonance can be dynamically generated in the
$s$-wave $\bar{K} \Sigma$-$\bar{K} \Lambda$-$\pi \Xi$-$\eta \Xi$
coupled-channels chiral unitary approach. In our model, the $\Xi (1690)$
resonance appears near the $\bar{K} \Sigma$ threshold as a $\bar{K} \Sigma$
molecular state and the experimental data are reproduced well. We discuss
properties of the dynamically generated $\Xi (1690)$.


title: Early evolution of disrupted asteroid P/2016 G1 (PANSTARRS)

abstract:
  We present deep imaging observations of activated asteroid P/2016 G1
(PANSTARRS) using the 10.4m Gran Telescopio Canarias (GTC) from late April to
early June 2016. The images are best interpreted as the result of a relatively
short-duration event with onset about $\mathop{350}_{-30}^{+10}$ days before
perihelion (i.e., around 10th February, 2016), starting sharply and decreasing
with a $\mathop{24}_{-7}^{+10}$ days (Half-width at half-maximum, HWHM). The
results of the modeling imply the emission of $\sim$1.7$\times$10$^7$ kg of
dust, if composed of particles of 1 micrometer to 1 cm in radius, distributed
following a power-law of index --3, and having a geometric albedo of 0.15. A
detailed fitting of a conspicuous westward feature in the head of the
comet-like object indicates that a significant fraction of the dust was ejected
along a privileged direction right at the beginning of the event, which
suggests that the parent body has possibly suffered an impact followed by a
partial or total disruption. From the limiting magnitude reachable with the
instrumental setup, and assuming a geometric albedo of 0.15 for the parent
body, an upper limit for the size of possible fragment debris of $\sim$50 m in
radius is derived.


title: Discretization of C*-algebras

abstract:
  We investigate how a C*-algebra could consist of functions on a
noncommutative set: a discretization of a C*-algebra $A$ is a $*$-homomorphism
$A \to M$ that factors through the canonical inclusion $C(X) \subseteq
\ell^\infty(X)$ when restricted to a commutative C*-subalgebra. Any C*-algebra
admits an injective but nonfunctorial discretization, as well as a possibly
noninjective functorial discretization, where $M$ is a C*-algebra. Any
subhomogenous C*-algebra admits an injective functorial discretization, where
$M$ is a W*-algebra. However, any functorial discretization, where $M$ is an
AW*-algebra, must trivialize $A = B(H)$ for any infinite-dimensional Hilbert
space $H$.


title: Toric manifolds over 3-polytopes

abstract:
  In this note we gather and review some facts about existence of toric spaces
over 3-dimensional simple polytopes. First, over every combinatorial 3-polytope
there exists a quasitoric manifold. Second, there exist combinatorial
3-polytopes, that do not correspond to any smooth projective toric variety. We
restate the proof of the second claim which does not refer to complicated
algebro-geometrical technique. If follows from these results that any fullerene
supports quasitoric manifolds but does not support smooth projective toric
varieties.


title: Cooperative Handover Management in Dense Cellular Networks

abstract:
  Network densification has always been an important factor to cope with the
ever increasing capacity demand. Deploying more base stations (BSs) improves
the spatial frequency utilization, which increases the network capacity.
However, such improvement comes at the expense of shrinking the BSs'
footprints, which increases the handover (HO) rate and may diminish the
foreseen capacity gains. In this paper, we propose a cooperative HO management
scheme to mitigate the HO effect on throughput gains achieved via cellular
network densification. The proposed HO scheme relies on skipping HO to the
nearest BS at some instances along the user's trajectory while enabling
cooperative BS service during HO execution at other instances. To this end, we
develop a mathematical model, via stochastic geometry, to quantify the
performance of the proposed HO scheme in terms of coverage probability and user
throughput. The results show that the proposed cooperative HO scheme
outperforms the always best connected based association at high mobility. Also,
the value of BS cooperation along with handover skipping is quantified with
respect to the HO skipping only that has recently appeared in the literature.
Particularly, the proposed cooperative HO scheme shows throughput gains of 12%
to 27% and 17% on average, when compared to the always best connected and HO
skipping only schemes at user velocity ranging from 80 km/h to 160 Km/h,
respectively.


title:
Role of carbon nanotube diameter on thermal interfacial resistance
  through the analysis of vibrational mismatch: A Molecular Dynamics approach

abstract:
  Carbon nanotube (CNT) have been known to increase the heat transfer at the
solid-liquid interfaces, but have a limitation due to the interfacial thermal
resistance. Vibrational mismatch at the interface leads to this interfacial
thermal resistance, which plays an important role in energy transfer at the
boundary. Negligible work has been reported on the influence of CNT diameter on
the resistance through the vibrational mismatch study. Molecular dynamics
simulations have been performed to investigate the effect of CNT diameter on
interfacial resistance between carbon nanotube (CNT) and water molecules. This
work is an effort to understand the heat transfer phenomenon at the interface
by quantifying the vibrational mismatch. Analysis of the vibrational spectra of
CNT and water molecules is done to study the effect of CNT diameter on
interfacial resistance. Starting with the initial configuration, and
equilibrating the system of CNT and water molecules at 300 K and 1 atm, the CNT
temperature is raised to 700 K by velocity rescaling. This system is now
allowed to relax as a micro-canonical ensemble. Based on the lumped capacitance
analysis, the time constant of the CNT temperature response is determined,
which is then used to compute the interfacial thermal resistance. The
interfacial thermal resistance is observed to be relatively higher for the
larger diameter nanotube. This is attributed to the higher vibrational mismatch
existing for larger diameter CNT as a result of low overlapping region between
vibrational density states of CNT and water molecules. For smaller diameter
CNT, the interfacial thermal resistance is low which results in the efficient
heat transfer at the interface thus, emphasizing the indispensable role of
larger diameter CNTs in the cooling applications.


title:
An approximate message passing approach for compressive hyperspectral
  imaging using a simultaneous low-rank and joint-sparsity prior

abstract:
  This paper considers a compressive sensing (CS) approach for hyperspectral
data acquisition, which results in a practical compression ratio substantially
higher than the state-of-the-art. Applying simultaneous low-rank and
joint-sparse (L&S) model to the hyperspectral data, we propose a novel
algorithm to joint reconstruction of hyperspectral data based on loopy belief
propagation that enables the exploitation of both structured sparsity and
amplitude correlations in the data. Experimental results with real
hyperspectral datasets demonstrate that the proposed algorithm outperforms the
state-of-the-art CS-based solutions with substantial reductions in
reconstruction error.


title:
Bulk and surface electronic structure of trigonal structured PtBi2
  studied by angle-resolved photoemission spectroscopy

abstract:
  PtBi2 with a layered trigonal crystal structure was recently reported to
exhibit an unconventional large linear magnetoresistance, while the mechanism
involved is still elusive. Using high resolution angle-resolved photoemission
spectroscopy, we present a systematic study on its bulk and surface electronic
structure. Through careful comparison with first-principle calculations, our
experiment distinguishes the low-lying bulk bands from entangled surface
states, allowing the estimation of the real stoichiometry of samples. We find
significant electron doping in PtBi2, implying a substantial Bi deficiency
induced disorder therein. We discover a Dirac-cone-like surface state on the
boundary of the Brillouin zone, which is identified as an accidental Dirac band
without topological protection. Our findings exclude quantum-limit-induced
linear band dispersion as the cause of the unconventional large linear
magnetoresistance.


title: Dynamics of an Anisotropic Universe in $f(R,T)$ Theory

abstract:
  Dynamics of an anisotropic universe is studied in $f(R,T)$ gravity using a
rescaled functional $f(R,T)$. Three models have been constructed assuming a
power law expansion of the universe. Physical features of the models are
discussed. The model parameters are constrained from a dimensional analysis. It
is found from the work that, the $BVI_h$ model in the modified gravity can
favour quintessence and phantom phase.


title: F(R) gravity's rainbow and its Einstein counterpart

abstract:
  Motivated by UV completion of general relativity with a modification of a
geometry at high energy scale, it is expected to have an energy dependent
geometry. In this paper, we introduce charged black hole solutions with power
Maxwell invariant source in the context of gravity's rainbow. In addition, we
investigate two classes of $F(R)$ gravity's rainbow solutions. At first, we
study energy dependent $F(R)$ gravity without energy momentum tensor, and then
we obtain $F(R)$ gravity's rainbow in the presence of conformally invariant
Maxwell source. We study geometrical properties of the mentioned solutions and
compare their results. We also give some related comments regarding to
thermodynamical behavior of the obtained solutions and discuss thermal
stability of the solutions.


title:
A look into the cosmological consequences of a dark energy model with
  higher derivatives of $H$ in the framework of Chameleon Brans-Dicke Cosmology

abstract:
  In this paper, we study some relevant cosmological features of a Dark Energy
(DE) model with Granda-Oliveiros cut-off, which is just a specific case of
Nojiri-Odintsov holographic DE unifying phantom inflation with late-time
acceleration, in the framework of Chameleon Brans-Dicke (BD) Cosmology.
Choosing a particular ansatz for some of the quantities involved, we derive the
expressions of some important cosmological quantities, like the Equation of
State (EoS) parameter of DE $w_D$, the effective EoS parameter $w_{eff}$, the
pressure of DE $p_D$ and the deceleration parameter $q$. Moreover, we study the
behavior of statefinder parameters $r$ and $s$, of the cosmographic parameters
$j$, $s_{cosmo}$, $l$ and $m$ and of the squared speed of the sound $v_s^2$ for
both case corresponding to non interacting and interacting Dark Sectors. We
also plot the quantities we have derived and we calculate their values for
$t\rightarrow 0$ (i.e. for the beginning of the Universe history), for
$t\rightarrow \infty$ (i.e. for far future) and for the present time, indicated
with $t_0$. The EoS parameters have been tested against various observational
values available in the literature.


title: Compiling Stateful Network Properties for Runtime Verification

abstract:
  Networks are difficult to configure correctly, and tricky to debug. These
problems are accentuated by temporal and stateful behavior. Static
verification, while useful, is ineffectual for detecting behavioral deviations
induced by hardware faults, security failures, and so on, so dynamic property
monitoring is also valuable. Unfortunately, existing monitoring and runtime
verification for networks largely focuses on properties about individual
packets (such as connectivity) or requires a digest of all network events be
sent to a server, incurring enormous cost.
  We present a network monitoring system that avoids these problems. Because
traces of network events correspond well to temporal logic, we use a subset of
Metric First-Order Temporal Logic as the query language. These queries are
compiled down to execute completely on the network switches. This vastly
reduces network load, improves the precision of queries, and decreases
detection latency. We show the practical feasibility of our work by extending a
widely-used software switch and deploying it on networks. Our work also
suggests improvements to network instruction sets to better support temporal
monitoring.


title: Probing the intra-group medium of a z = 0.28 galaxy group

abstract:
  We present new MUSE observations of a galaxy group probed by a background
quasar. The quasar sightline passes between multiple $z=0.28$ galaxies, whilst
showing at the same redshift low ionised metal line species, including Ca II,
Mg I, Mg II and Fe II. Based on the galaxy redshifts measured from the MUSE
data, we estimate the galaxies to be part of a small galaxy group with a halo
mass of $\approx6\times10^{12}$ M$_{\odot}$. We use the MUSE data to reveal the
two dimensional dynamical properties of the gas and stars in the group
galaxies, and relate these to the absorber kinematics. With these data we
consider a number of scenarios for the nature of the gas probed by the
sightline absorbers: a co-rotating gas halo associated with a single galaxy
within the group; outflowing material from a single group member powered by
recent star-formation; and cool dense gas associated with an intra-group
medium. We find that the dynamics, galaxy impact parameters, star-formation
rates, and the absorber strength suggest the cool gas can not be clearly
associated with any single galaxy within the group. Instead we find that the
observations are consistent with a superposition of cool gas clouds originating
with the observed galaxies as they fall into the group potential, and are now
likely in the process of forming the intra-group medium.


title: Vector-valued invariant means revisited once again

abstract:
  Banach spaces that are complemented in the second dual are characterised
precisely as those spaces $X$ which enjoy the property that for every amenable
semigroup $S$ there exists an $X$-valued analogue of an invariant mean defined
on the Banach space of all bounded $X$-valued functions on $S$. This was first
observed by Bustos Domecq (J. Math. Anal. Appl., 2002), however the original
proof was slightly flawed as remarked by Lipecki. The primary aim of this note
is to present a corrected version of the proof. We also demonstrate that
universally separably injective spaces always admit invariant means with
respect to countable amenable semigroups, thus such semigroups are not rich
enough to capture complementation in the second dual as spaces falling into
this class need not be complemented in the second dual.


title:
Probing extra dimension through gravitational wave observations of
  compact binaries and their electromagnetic counterparts

abstract:
  The future gravitational wave (GW) observations of compact binaries and their
possible electromagnetic counterparts may be used to probe the nature of the
extra dimension. It is widely accepted that gravitons and photons are the only
two completely confirmed objects that can travel along null geodesics in our
four-dimensional space-time. However, if there exist extra dimensions and only
GWs can propagate freely in the bulk, the causal propagations of GWs and
electromagnetic waves (EMWs) are in general different. In this paper, we study
null geodesics of GWs and EMWs in a five-dimensional anti-de Sitter space-time
in the presence of the curvature of the universe. We show that for general
cases the horizon radius of GW is longer than EMW within equal time. Taking the
GW150914 event detected by the Advanced Laser Interferometer Gravitational-Wave
Observatory and the X-ray event detected by the Fermi Gamma-ray Burst Monitor
as an example, we study how the curvature $k$ and the constant curvature radius
$l$ affect the horizon radii of GW and EMW in the de Sitter and Einstein-de
Sitter models of the universe. This provides an alternative method for probing
extra dimension through future GW observations of compact binaries and their
electromagnetic counterparts.


title: Adiabatic optimization versus diffusion Monte Carlo

abstract:
  Most experimental and theoretical studies of adiabatic optimization use
stoquastic Hamiltonians, whose ground states are expressible using only real
nonnegative amplitudes. This raises a question as to whether classical Monte
Carlo methods can simulate stoquastic adiabatic algorithms with polynomial
overhead. Here, we analyze diffusion Monte Carlo algorithms. We argue that,
based on differences between L1 and L2 normalized states, these algorithms
suffer from certain obstructions preventing them from efficiently simulating
stoquastic adiabatic evolution in generality. In practice however, we obtain
good performance by introducing a method that we call Substochastic Monte
Carlo. In fact, our simulations are good classical optimization algorithms in
their own right, competitive with the best previously known heuristic solvers
for MAX-k-SAT at k=2,3,4.


title: Information Splitting for Big Data Analytics

abstract:
  Many statistical models require an estimation of unknown (co)-variance
parameter(s) in a model. The estimation usually obtained by maximizing a
log-likelihood which involves log determinant terms. In principle, one requires
the \emph{observed information}--the negative Hessian matrix or the second
derivative of the log-likelihood---to obtain an accurate maximum likelihood
estimator according to the Newton method. When one uses the \emph{Fisher
information}, the expect value of the observed information, a simpler algorithm
than the Newton method is obtained as the Fisher scoring algorithm. With the
advance in high-throughput technologies in the biological sciences,
recommendation systems and social networks, the sizes of data sets---and the
corresponding statistical models---have suddenly increased by several orders of
magnitude. Neither the observed information nor the Fisher information is easy
to obtained for these big data sets. This paper introduces an information
splitting technique to simplify the computation. After splitting the mean of
the observed information and the Fisher information, an simpler approximate
Hessian matrix for the log-likelihood can be obtained. This approximated
Hessian matrix can significantly reduce computations, and makes the linear
mixed model applicable for big data sets. Such a spitting and simpler formulas
heavily depends on matrix algebra transforms, and applicable to large scale
breeding model, genetics wide association analysis.


title: Millivolt modulation of plasmonic metasurface via ionic conductance

abstract:
  We report here and experimentally demonstrate an actively controlled
gatetunable plasmonic metasurface operating in the visible region of the
electromagnetic spectrum, where strikingly the operating voltages for
reflectance modulation are much less than 1V. The electrically tunable
metasurface consists of inverse dolmen structures (iDolmen) patterned on silver
and chromium on a quartz substrate and subsequently covered with a 5 nm thin
layer of Al2O3 followed by a 110 nm indium tin oxide (ITO) layer, which acts as
a transparent electrode. Our designed structures show up to 78 percent change
in reflection upon applying small voltages (less than 1V). We explain this
behaviour via ion conductance of silver through Al2O3 and ITO, leading to
active resistive switching. Interesting complementary effects such as decreased
reflection in the same structures over a broadband of wavelengths is also seen
on reversing the applied bias. The results provide an insight into the use of
the resistive switching for electrical control over light-matter interaction in
plasmonic metasurfaces.


title:
Statistical power and prediction accuracy in multisite resting-state
  fMRI connectivity

abstract:
  Connectivity studies using resting-state functional magnetic resonance
imaging are increasingly pooling data acquired at multiple sites. While this
may allow investigators to speed up recruitment or increase sample size,
multisite studies also potentially introduce systematic biases in connectivity
measures across sites. In this work, we measure the inter-site effect in
connectivity and its impact on our ability to detect individual and group
differences. Our study was based on real, as opposed to simulated, multisite
fMRI datasets collected in N=345 young, healthy subjects across 8 scanning
sites with 3T scanners and heterogeneous scanning protocols, drawn from the
1000 functional connectome project. We first empirically show that typical
functional networks were reliably found at the group level in all sites, and
that the amplitude of the inter-site effects was small to moderate, with a
Cohen's effect size below 0.5 on average across brain connections. We then
implemented a series of Monte-Carlo simulations, based on real data, to
evaluate the impact of the multisite effects on detection power in statistical
tests comparing two groups (with and without the effect) using a general linear
model, as well as on the prediction of group labels with a support-vector
machine. As a reference, we also implemented the same simulations with fMRI
data collected at a single site using an identical sample size. Simulations
revealed that using data from heterogeneous sites only slightly decreased our
ability to detect changes compared to a monosite study with the GLM, and had a
greater impact on prediction accuracy. Taken together, our results support the
feasibility of multisite studies in rs-fMRI provided the sample size is large
enough.


title: Affine Actions and the Yang-Baxter Equation

abstract:
  In this paper, the relations between the Yang-Baxter equation and affine
actions are explored in detail. In particular, we classify solutions of the
Yang-Baxter equations in two ways: (i) by their associated affine actions of
their structure groups on their derived structure groups, and (ii) by the
C*-dynamical systems obtained from their associated affine actions. On the way
to our main results, several other useful results are also obtained.


title:
Scalar and vector perturbations in a universe with discrete and
  continuous matter sources

abstract:
  We study a universe filled with dust-like matter in the form of discrete
inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of
perfect fluids with linear and nonlinear equations of state, respectively. The
background spacetime geometry is defined by the FLRW metric. In the weak
gravitational field limit, we develop the first-order scalar and vector
cosmological perturbation theory. Our approach works at all cosmological scales
(i.e. sub-horizon and super-horizon ones) and incorporates linear and nonlinear
effects with respect to energy density fluctuations. We demonstrate that the
scalar perturbation (i.e. the gravitational potential) as well as the vector
perturbation can be split into individual contributions from each matter
source. Each of these contributions satisfies its own equation. The
velocity-independent parts of the individual gravitational potentials are
characterized by a finite time-dependent Yukawa interaction range being the
same for each individual contribution. We also obtain the exact form of the
gravitational potential and vector perturbation related to the discrete matter
sources. The self-consistency of our approach is thoroughly checked. The
derived equations can form the theoretical basis for numerical simulations for
a wide class of cosmological models.


title:
Self-consistent Purcell factor and spontaneous topological transition in
  hyperbolic metamaterials

abstract:
  In this work we develop a self-consistent approach for calculation of the
Purcell factor and Lamb shift in highly dispersive hyperbolic metamaterial
accounting for the effective dipole frequency shift. Also we theoretically
predict the possibility of spontaneous topological transition, which occurs not
due to the external change of the system parameters but only due to the Lamb
shift.


title:
Quintom cosmological model and some possible solutions using Lie and
  Noether symmetries

abstract:
  The present work deals with a quintom model of dark energy in the framework
of a spatially flat isotropic and homogeneous
Friedmann-Lemaitre-Robertson-Walker (FLRW) universe. At first, Lie point
symmetry is imposed to the system and the unknown coupled potential of the
model is determined. Then Noether symmetry, which is also a point like symmetry
of the Lagrangian, is imposed on the physical system and the potential takes a
general form. It is shown that the Lie algebra of Noether symmetry is a
sub-algebra of the corresponding Lie algebra of the Lie symmetry. Finally, a
point transformation in the three dimensional augmented space is performed
suitably so that one of the variables become cyclic and as a result there is
considerable simplification to the physical system. Hence conserved quantities
(i.e, constants of motion) are expressed in a compact form and cosmological
solutions are evaluated and analyzed in the present context.


title:
Quenching of the luminescence intensity of GaN nanowires under electron
  beam exposure: Impact of C adsorption on the exciton lifetime

abstract:
  Electron irradiation of GaN nanowires in a scanning electron microscope
strongly reduces their luminous efficiency as shown by cathodoluminescence
imaging and spectroscopy. We demonstrate that this luminescence quenching
originates from a combination of charge trapping at already existing surface
states and the formation of new surface states induced by the adsorption of C
on the nanowire sidewalls. The interplay of these effects leads to a complex
temporal evolution of the quenching, which strongly depends on the incident
electron dose per area. Time-resolved photoluminescence measurements on
electron-irradiated samples reveal that the carbonaceous adlayer affects both
the nonradiative and the radiative recombination dynamics.


title: Non-Linearly Interacting Ghost Dark Energy in Brans-Dicke Cosmology

abstract:
  In this paper we extend the form of interaction term into the non-linear
regime in the ghost dark energy model. A general form of non-linear interaction
term is presented and cosmic dynamic equations are obtained. Next, the model is
detailed for two special choice of the non-linear interaction term. According
to this the universe transits at suitable time ($z\sim 0.8$) from deceleration
to acceleration phase which alleviate the coincidence problem. Squared sound
speed analysis revealed that for one class of non-linear interaction term
$v_s^2$ can gets positive. This point is an impact of the non-linear
interaction term and we never find such behavior in non interacting and
linearly interacting ghost dark energy models. Also statefinder parameters are
introduced for this model and we found that for one class the model meets the
$\Lambda CDM$ while in the second choice although the model approaches the
$\Lambda CDM$ but never touch that.


title:
Reduced storage nodal discontinuous Galerkin methods on semi-structured
  prismatic meshes

abstract:
  We present a high order time-domain nodal discontinuous Galerkin method for
wave problems on hybrid meshes consisting of both wedge and tetrahedral
elements. We allow for vertically mapped wedges which can be deformed along the
extruded coordinate, and present a simple method for producing quasi-uniform
wedge meshes for layered domains. We show that standard mass lumping techniques
result in a loss of energy stability on meshes of vertically mapped wedges, and
propose an alternative which is both energy stable and efficient. High order
convergence is demonstrated, and comparisons are made with existing low-storage
methods on wedges. Finally, the computational performance of the method on
Graphics Processing Units is evaluated.