title: Bosonization of fermions coupled to topologically massive gravity

abstract:
  We establish a duality between massive fermions coupled to topologically
massive gravity (TGM) in $d=3$ space-time dimensions and a purely gravity
theory which also will turn out to be a TGM theory but with different
parameters: the original graviton mass in the TGM theory coupled to fermions
picks-up a contribution from fermion bosonization. We obtain explicit
bosonization rules for the fermionic currents and for the
energy-momentum-tensor showing that the identifications do not depend
explicitly on the parameters of the theory. These results are the gravitational
analog of the results for $2+1$ Abelian and non-Abelian bosonization in flat
space-time.


title: Mach cones in viscous heavy-ion collisions

abstract:
  The formation of Mach cones is studied in a full $(3+1)$-dimensional setup of
ultrarelativistic heavy-ion collisions, considering a transverse and
longitudinal expanding medium at Relativistic Heavy-Ion Collider energies. For
smooth initial conditions and central collisions the jet-medium interaction is
investigated using high-energy jets and various values of the ratio of shear
viscosity over entropy density, $\eta/s$. For small viscosities, the formation
of Mach cones is proven, whereas for larger viscosities the characteristic
structures smear out and vanish eventually. The formation of a double-peak
structure both in a single- and in a multiple-jet event is discussed.


title: Empirical geodesic graphs and CAT(k) metrics for data analysis

abstract:
  A methodology is developed for data analysis based on empirically constructed
geodesic metric spaces. For a probability distribution, the length along a path
between two points can be defined as the amount of probability mass accumulated
along the path. The geodesic, then, is the shortest such path and defines a
geodesic metric. Such metrics are transformed in a number of ways to produce
parametrised families of geodesic metric spaces, empirical versions of which
allow computation of intrinsic means and associated measures of dispersion.
These reveal properties of the data, based on geometry, such as those that are
difficult to see from the raw Euclidean distances. Examples of application
include clustering and classification. For certain parameter ranges, the spaces
become CAT(0) spaces and the intrinsic means are unique. In one case, a minimal
spanning tree of a graph based on the data becomes CAT(0). In another, a
so-called "metric cone" construction allows extension to CAT($k$) spaces. It is
shown how to empirically tune the parameters of the metrics, making it possible
to apply them to a number of real cases.


title: Better Hadronic Top Quark Polarimetry

abstract:
  Observables sensitive to top quark polarization are important for
characterizing or even discovering new physics. The most powerful spin analyzer
in top decay is the down-type fermion from the W, which in the case of leptonic
decay allows for very clean measurements. However, in many applications it is
useful to measure the polarization of hadronically decaying top quarks. Usually
it is assumed that at most 50% of the spin analyzing power can be recovered in
this case. This paper introduces a simple and truly optimal hadronic spin
analyzer, with a power of 64% at leading-order. The improvement is demonstrated
to be robust at next-to-leading order, and in a handful of simulated
measurements including the spins and spin correlations of boosted top quarks
from multi-TeV top-antitop resonances, the spins of semi-boosted tops from
chiral stop decays, and the potentially CP-violating spin correlations induced
in continuum top pairs by color dipole operators. For the boosted studies, we
explore jet substructure techniques that exhibit improved mapping between
subjets and quarks.


title: Markov Chains for Collaboration

abstract:
  Consider a system of \(n\) players in which each initially starts on a
different team. At each time step, we select an individual winner and an
individual loser randomly and the loser joins the winner's team. The resulting
Markov chain and stochastic matrix clearly have one absorbing state, in which
all players are on the same team, but the combinatorics along the way are
surprisingly elegant. The expected number of time steps until each team is
eliminated is a ratio of binomial coefficients. When a team is eliminated, the
probabilities that the players are configured in various partitions of \(n\)
into \(t\) teams are given by multinomial coefficients. The expected value of
the time to absorbtion is \((n-1)^2\) steps. The results depend on elementary
combinatorics, linear algebra, and the theory of Markov chains.


title: Probing the neutron skin thickness in collective modes of excitation

abstract:
  Nuclear collective motion provides valuable constraint on the size of
neutron-skin thickness and the properties of nuclear matter symmetry energy. By
employing relativistic nuclear energy density functional (RNEDF) and covariance
analysis related to $\chi^2$ fitting of the model parameters, relevant
observables are identified for dipole excitations, which strongly correlate
with the neutron-skin thickness $(r_{np})$, symmetry energy at saturation
density $(J)$ and slope of the symmetry energy $(L)$. Using the RNEDF framework
and experimental data on pygmy dipole strength ($^{68}$Ni, $^{132}$Sn,
$^{208}$Pb) and dipole polarizability ($^{208}$Pb), it is shown how the values
of $J$, and $L$, and $r_{np}$ are constrained. The isotopic dependence of
moments associated to dipole excitations in $^{116-136}$Sn shows that the
low-energy dipole strength and polarizability in neutron-rich nuclei display
strong sensitivity to the symmetry energy parameter $J$, more pronounced than
in isotopes with moderate neutron-to-proton number ratios.


title:
Axion mechanism of Sun luminosity: light shining through the solar
  radiation zone

abstract:
  It is shown that the hypothesis of the axion mechanism of Sun luminosity
suggesting that the solar axion particles are born in the core of the Sun and
may be efficiently converted back into $\gamma$-quanta in the magnetic field of
the solar overshoot tachocline is physically relevant. As a result, it is also
shown that the intensity variations of the $\gamma$-quanta of axion origin,
induced by the magnetic field variations in the tachocline, directly cause the
Sun luminosity %and total solar irradiance (TSI) variations and eventually
characterize the active and quiet states of the Sun.
  Within the framework of this mechanism estimations of the strength of the
axion coupling to a photon ($g_{a \gamma} = 3.6 \cdot 10^{-11} GeV^{-1}$) and
the hadronic axion particle mass ($m_a \sim 2.3 \cdot 10^{-2} eV$) have been
obtained. It is also shown that the claimed axion parameters do not contradict
any known experimental and theoretical model-independent limitations.


title:
Tidal capture of a primordial black hole by a neutron star: implications
  for constraints on dark matter

abstract:
  In a close encounter with a neutron star, a primordial black hole can get
gravitationally captured by depositing a considerable amount of energy into
nonradial stellar modes of very high angular number $l$. If the neutron-star
equation of state is sufficiently stiff, we show that the total energy loss in
the point-particle approximation is formally divergent. Various mechanisms
-including viscosity, finite-size effects and the elasticity of the crust- can
damp high-$l$ modes and regularize the total energy loss. Within a short time,
the black hole is trapped inside the star and disrupts it by rapid accretion.
Estimating these effects, we predict that the existence of old neutron stars in
regions where the dark-matter density rho_{DM}>10^2 sigma/(km/s) GeV/cm^3
(where sigma is the dark-matter velocity dispersion) limits the abundance of
primordial black holes in the mass range 10^{17} g < m_{PBH} < 10^{24} g, which
was previously unconstrained. In combination with existing limits, our results
suggest that primordial black holes cannot be the dominant dark matter
constituent.


title:
A limit formula for joint spectral radius with $p$-radius of probability
  distributions

abstract:
  In this paper we show a characterization of the joint spectral radius of a
set of matrices as the limit of the $p$-radius of an associated probability
distribution when $p$ tends to $\infty$. Allowing the set to have infinitely
many matrices, the obtained formula extends the results in the literature.
Based on the formula, we then present a novel characterization of the stability
of switched linear systems for an arbitrary switching signal via the existence
of stochastic Lyapunov functions of any higher degrees. Numerical examples are
presented to illustrate the results.


title:
SAID Analysis of Meson Photoproduction : Determination of Neutron and
  Proton EM Couplings

abstract:
  We present an overview of the GW SAID group effort to analyze on new pion
photoproduction on both proton- and neutron-targets. The main database
contribution came from the recent CLAS and MAMI unpolarized and polarized
measurements. The differential cross section for the processes gamma n --> pi-
p was extracted from new measurements accounting for Fermi motion effects in
the impulse approximation (IA) as well as NN and piN effects beyond the IA. The
EM coupling results are compared to other recent studies.


title:
Upper Limit on a Stochastic Background of Gravitational Waves from
  Seismic Measurements in the Range 0.05 Hz to 1 Hz

abstract:
  In this paper, we present an upper limit of $\Omega_{\rm GW}<1.2\times
10^{8}$ on an isotropic stochastic gravitational-wave (GW) background
integrated over a year in the frequency range 0.05 Hz - 1 Hz, which improves
current upper limits from high-precision laboratory experiments by about 9
orders of magnitude. The limit is obtained using the response of Earth itself
to GWs via a free-surface effect described more than 40 years ago by F.J.
Dyson. The response was measured by a global network of broadband seismometers
selected to maximize the sensitivity.


title: A Composite Model of Quarks and Bosons

abstract:
  A composite model of quarks and bosons is proposed in which a spin $1/2$
isospin doublet $\psi$ is the basic building block of quarks and bosons in the
standard model. The $\psi$ has two components $v$ and $w$ with charges
$Q=\frac{1}{3}e$ and $Q=0$, respectively, that combine to form the three
generations of colored quark flavors. A strong force described by a triplet of
massless gluons bind the constituents called geminis. The confining constituent
non-Abelian $SU(2)_C$ field theory is called constituent dynamics with a
confining energy scale $\Lambda_{CD}$. The constituent dynamics condensate
$\langle\bar{v}v+\bar{w}w\rangle\neq 0$ spontaneously breaks the electroweak
symmetry $SU(2)_L\times U(1)_Y\rightarrow U(1)_{\rm EM}$ and a triplet of
Nambu-Goldstone bosons make the gauge bosons $W^{\pm}$ and $Z^0$ massive, while
retaining a massless photon. A global custodial $SU(2)_L\times SU(2)_R$
symmetry guarantees that the symmetry breaking in the weak interaction sector
agrees with electroweak data. The non-Abelian $SU(2)_C$ color dynamics
satisfies asymptotic freedom, which resolves the gauge and Higgs mass hierarchy
problems and makes the model ultraviolet complete. The composite constituent
dynamics model can realize a $SU(3)_C\times SU(2)_L\times U(1)_Y$ electroweak
and strong interaction model that satisfies the naturalness principle. The
three generations of colorless quarks $\alpha$ and $\beta$ with charges $Q=+1e$
and $Q=0$, respectively, which are predicted to exist in the composite model
can form bound states which can be identified with the spectrum of exotic
mesons.


title:
Wiedemann-Franz Relation and Thermal-transistor Effect in Suspended
  Graphene

abstract:
  We extract experimentally the electronic thermal conductivity, $K_{e}$, in
suspended graphene which we dope using a back-gate electrode. We make use of
two-point dc electron transport at low bias voltages and intermediate
temperatures (50 - 160 K), where the electron and lattice temperatures are
decoupled. The thermal conductivity is proportional to the charge conductivity
times the temperature, confirming that the Wiedemann-Franz relation is obeyed
in suspended graphene. We extract an estimate of the Lorenz coefficient as 1.1
to 1.7 $\times 10^{-8}$ W $\Omega$K$^{-2}$. $K_e$ shows a transistor effect and
can be tuned with the back-gate by more than a factor of 2 as the charge
carrier density ranges from $\approx$ 0.5 to 1.8 $\times 10^{11}$cm$^{-2}$.


title: Ultra-Intense Gamma-Rays Created Using the Texas Petawatt Laser

abstract:
  In a series of experiments at the Texas Petawatt Laser (TPW) in Austin, TX,
we have used attenuation spectrometers, dosimeters, and a new Forward Compton
Electron Spectrometer (FCES) to measure and characterize the angular
distribution, fluence, and energy spectrum of the X-rays and gamma rays
produced by the TPW striking multi-millimeter thick gold targets. Our results
represent the first such measurements at laser intensities > 10 21 W*cm-2 and
pulse durations < 150 fs. We obtain a maximum yield of X-ray and gamma ray
energy with respect to laser energy of 4% and a mean yield of 2%. We futher
obtain a Full Width Half Maximum (FWHM) of the gamma distribution of 37{\deg}.
We were able to characterize the gamma-ray spectrum from 3 MeV to 90 MeV using
a Forward Compton Electron Spectrometer, with an energy resolution of 0.5 MeV
and mean kT of ~ 6 MeV.. We were able to characterize the spectrum from 1 to 7
MeV using a Filter Stack Spectrometer, measuring a mean gamma-ray temperature
for the spectrum from 3 to 7 MeV of 2.1 MeV.


title: The Fallback Mechanisms in Core-Collapse Supernovae

abstract:
  Although the details of the core-collapse supernova mechanism are not fully
understood, it is generally accepted that the energy released in the collapse
produces a shock that disrupts the star and produces the explosion. Some of the
stellar material does not receive enough energy to escape the potential well of
the newly formed neutron star and it falls back on to the core. This fallback
plays an important role in setting compact remnant masses and has been invoked
to explain a number of observed phenomena: late-time neutrino emission,
r-process element production, peculiar supernovae, and long-duration gamma-ray
bursts. To examine the link between fallback and these observed phenomena, we
must understand the nature of fallback and currently, multiple mechanisms have
been proposed that lead to different characteristics of the fallback. In this
paper, we model a series of three-dimensional explosions by following the
fallback for two different massive progenitors to study both the nature of the
fallback and the role of asymmetric explosions on this fallback. One of the
most-cited mechanisms behind fallback argues that it is caused by the reverse
shock produced when the outward moving supernova shock decelerates in the
relatively flat density profile of the stellar envelope. We show that this
mechanism plays a minor, if any, role in driving fallback and most supernova
fallback is produced by prompt mechanisms.


title:
Kinetically Constrained Ring-Polymer Molecular Dynamics for
  Non-adiabatic Chemical Reactions

abstract:
  We extend ring-polymer molecular dynamics (RPMD) to allow for the direct
simulation of general, electronically non-adiabatic chemical processes. The
kinetically constrained (KC) RPMD method uses the imaginary-time path-integral
representation in the set of nuclear coordinates and electronic states to
provide continuous equations of motion that describe the quantized,
electronically non-adiabatic dynamics of the system. KC-RPMD preserves the
favorable properties of the usual RPMD formulation in the position
representation, including rigorous detailed balance, time-reversal symmetry,
and invariance of reaction rate calculations to the choice of dividing surface.
However, the new method overcomes significant shortcomings of
position-representation RPMD by enabling the description of non-adiabatic
transitions between states associated with general, many-electron wavefunctions
and by accurately describing deep-tunneling processes across asymmetric
barriers. We demonstrate that KC-RPMD yields excellent numerical results for a
range of model systems, including a simple avoided-crossing reaction and
condensed-phase electron-transfer reactions across multiple regimes for the
electronic coupling and thermodynamic driving force.


title: Inference for Monotone Trends Under Dependence

abstract:
  We focus on the problem estimating a monotone trend function under additive
and dependent noise. New point-wise confidence interval estimators under both
short- and long-range dependent errors are introduced and studied. These
intervals are obtained via the method of inversion of certain discrepancy
statistics arising in hypothesis testing problems. The advantage of this
approach is that it avoids the estimation of nuisance parameters such as the
derivative of the unknown function, which existing methods are forced to deal
with. While the methodology is motivated by earlier work in the independent
context, the dependence of the errors, especially longrange dependence leads to
new challenges, such as the study of convex minorants of drifted fractional
Brownian motion that may be of independent interest. We also unravel a new
family of universal limit distributions (and tabulate selected quantiles) that
can henceforth be used for inference in monotone function problems involving
dependence.


title: Generalized parity proofs of the Kochen-Specker theorem

abstract:
  We discuss two approaches to producing generalized parity proofs of the
Kochen-Specker theorem. Such proofs use contexts of observables whose product
is $I$ or $-I$; we call them constraints. In the first approach, one starts
with a fixed set of constraints and methods of linear algebra are used to
produce subsets that are generalized parity proofs. Coding theory methods are
used for enumeration of the proofs by size. In the second approach, one starts
with the combinatorial structure of the set of constraints and one looks for
ways to suitably populate this structure with observables. As well, we are able
to show that many combinatorial structures can not produce parity proofs.


title:
Investigation of the Initial State of the Moon-Forming Disk: Bridging
  SPH Simulations and Hydrostatic Models

abstract:
  According to the standard giant impact hypothesis, the Moon formed from a
partially vaporized disk generated by a collision between the proto Earth and a
Mars sized impactor. The initial structure of the disk significantly affects
the Moon forming process, including the Moons mass, its accretion time scale,
and its isotopic similarity to Earth. The dynamics of the impact event
determines the initial structure of a nearly hydrostatic Moon forming disk.
However, the hydrostatic and hydrodynamic models have been studied separately
and their connection has not previously been well quantified. Here, we show the
extent to which the properties of the disk can be inferred from Smoothed
Particle Hydrodynamic (SPH) simulations. By using entropy, angular momentum and
mass distributions of the SPH outputs as approximately conserved quantities, we
compute the two dimensional disk structure. We investigate four different
models: (a) standard, the canonical giant impact model, (b) fast spinning
Earth, a collision between a fast spinning Earth and a small impactor, (c) sub
Earths, a collision between two objects with half Earths mass, and (d)
intermediate, a collision of two bodies whose mass ratio is 7:3. Our SPH
calculations show that the initial disk has approximately uniform entropy. The
disks of the fast spinning Earth and sub Earths cases are hotter and more
vaporized (80-90% vapor) than the standard case (20%). The intermediate case
falls between these values. In the highly vaporized cases, our procedure fails
to establish a unique surface density profile of the disk because the disk is
unstable according to the Rayleigh criterion. In these cases, we estimate
non-unique disk models by conserving global quantities. We also develop a semi
analytic model for the thermal structure of the disk, which requires only two
inputs: the average entropy and the surface density of the disk.


title: Radiative p11b capture at astrophysical energies

abstract:
  In the framework of the modified potential cluster model with forbidden
states the possibility of describing the available experimental data on the
total cross sections and astrophysical S-factor for p11B radiative capture to
the ground state of 12C was treated at astrophysical energies.


title:
Pi Fractions for Generating Uniformly Distributed Sampling Points in
  Global Search and Optimization Algorithms

abstract:
  Pi Fractions are used to create deterministic uniformly distributed
pseudorandom decision space sample points for a global search and optimization
algorithm. These fractions appear to be uniformly distributed on [0,1] and can
be used in any stochastic algorithm rendering it effectively deterministic
without compromising its ability to explore the decision space. Pi Fractions
are generated using the BBP Pi digit extraction algorithm. The Pi Fraction
approach is tested using genetic algorithm Pi-GASR with very good results. A Pi
Fraction data file is available upon request.


title: Overtwisted discs in planar open books

abstract:
  Using open book foliations we show that an overtwisted disc in a planar open
book can be put in a topologically nice position. As a corollary, we prove that
a planar open book whose fractional Dehn twist coefficients grater than one for
all the boundary components supports a tight contact structure.


title: Onset of Synchronization in the Disordered Hamiltonian Mean Field Model

abstract:
  We study the Hamiltonian Mean Field (HMF) model of coupled Hamiltonian rotors
with a heterogeneous distribution of moments of inertia and coupling strengths.
We show that when the parameters of the rotors are heterogeneous, finite size
fluctuations can greatly modify the coupling strength at which the incoherent
state loses stability by inducing correlations between the momenta and
parameters of the rotors. When the distribution of initial frequencies of the
oscillators is sufficiently narrow, an analytical expression for the
modification in critical coupling strength is obtained that confirms numerical
simulations. We find that heterogeneity in the moments of inertia tends to
stabilize the incoherent state, while heterogeneity in the coupling strengths
tends to destabilize the incoherent state. Numerical simulations show that
these effects disappear for a wide, bimodal frequency distribution.


title: Removing Dynamic Type Tests with Context-Driven Basic Block Versioning

abstract:
  Dynamic typing is an important feature of dynamic programming languages.
Primitive operators such as those for performing arithmetic and comparisons
typically operate on a wide variety of in put value types, and as such, must
internally implement some form of dynamic type dispatch and type checking.
Removing such type tests is important for an efficient implementation.
  In this paper, we examine the effectiveness of a novel approach to reducing
the number of dynamically executed type tests called context-driven basic block
versioning. This simple technique clones and specializes basic blocks in such a
way as to allow the compiler to accumulate type information while machine code
is generated, without a separate type analysis pass. The accumulated
information allows the removal of some redundant type tests, particularly in
performance-critical paths.
  We have implemented intraprocedural context-driven basic block versioning in
a JavaScript JIT compiler. For comparison, we have also implemented a classical
flow-based type analysis operating on the same concrete types. Our results show
that basic block versioning performs better on most benchmarks and removes a
large fraction of type tests at the expense of a moderate code size increase.
We believe that this technique offers a good tradeoff between implementation
complexity and performance, and is suitable for integration in production JIT
compilers.


title: A sub-kpc-scale binary AGN with double narrow-line regions

abstract:
  We present the kinematic properties of a type-2 QSO, SDSS J132323.33-015941.9
at z~0.35, based on the analysis of Very Large Telescope integral field
spectroscopy and Hubble Space Telescope (HST) imaging, which suggest that the
target is a binary active galactic nucleus (AGN) with double narrow-line
regions. The QSO features double-peaked emission lines ([OIII] and Hb) which
can be decomposed into two kinematic components. The flux-weighted centroids of
the blue and red components are separated by ~0.2" (0.8 kpc in projection) and
coincide with the location of the two stellar cores detected in the HST
broad-band images, implying that both stellar cores host an active black hole.
The line-of-sight velocity of the blue component is comparable to the
luminosity-weighted velocity of stars in the host galaxy while the red
component is redshifted by ~240 km/s, consistent with typical velocity offsets
of two cores in a late stage of a galaxy merger. If confirmed, the target is
one of the rare cases of sub-kpc scale binary AGNs, providing a test-bed for
understanding the binary AGN population.


title:
Beam-Energy Dependence of Directed Flow of Protons, Antiprotons and
  Pions in Au+Au Collisions

abstract:
  Rapidity-odd directed flow($v_1$) measurements for charged pions, protons and
antiprotons near mid-rapidity ($y=0$) are reported in $\sqrt{s_{NN}} =$ 7.7,
11.5, 19.6, 27, 39, 62.4 and 200 GeV Au + Au collisions as recorded by the STAR
detector at the Relativistic Heavy Ion Collider (RHIC). At intermediate impact
parameters, the proton and net-proton slope parameter $dv_1/dy|_{y=0}$ shows a
minimum between 11.5 and 19.6 GeV. In addition, the net-proton $dv_1/dy|_{y=0}$
changes sign twice between 7.7 and 39 GeV. The proton and net-proton results
qualitatively resemble predictions of a hydrodynamic model with a first-order
phase transition from hadronic matter to deconfined matter, and differ from
hadronic transport calculations.


title: Closed Form Solutions To Bosonic Perturbations In General Relativity

abstract:
  We present some results regarding metric perturbations in general relativity
and other metric theories of gravity. In particular, using the Newman Penrose
variables, we write down and discuss the equations which govern tensor field
perturbations of ranks $0, \pm 1$ and $\pm 2$ (scalar,vector,tensor bosonic
perturbations) over certain space-times that admit specific background metrics
expressible in isotropic coordinates. Armed with these equations, we are able
to develop the Hadamard series which can be associated with the fundamental
solution of the equations, wherein we introduce an inhomogeneous singularity at
the physical space-time point of the perturbing particle. The Hadamard series
is then used to generate closed form solutions by making choices for an
appropriate ansatz solution. In particular, we solve for the spin-weighted
electrostatic potential for the Reissner-Nordstrom black hole and for the fully
dynamical potential for the Friedmann-Robertson-Walker cosmological solution.


title:
Thermodynamic limit and surface energy of the XXZ spin chain with
  arbitrary boundary fields

abstract:
  In two previous papers [26, 27], the exact solutions of the spin-1/2 chains
with arbitrary boundary fields were constructed via the off-diagonal Bethe
ansatz (ODBA). Here we introduce a method to approach the thermodynamic limit
of those models. The key point is that at a sequence of degenerate points of
the crossing parameter \eta=\eta_m, the off-diagonal Bethe ansatz equations
(BAEs) can be reduced to the conventional ones. This allows us to extrapolate
the formulae derived from the reduced BAEs to arbitrary \eta case with
O(N^{-2}) corrections in the thermodynamic limit N\to\infty. As an example, the
surface energy of the XXZ spin chain model with arbitrary boundary magnetic
fields is derived exactly. This approach can be generalized to all the ODBA
solvable models.

categories: cond-mat.stat-mech hep-th math-ph math.MP


title:
Investigating Cellular Automata Based Network Intrusion Detection System
  For Fixed Networks (NIDWCA)

abstract:
  Network Intrusion Detection Systems (NIDS) are computer systems which monitor
a network with the aim of discerning malicious from benign activity on that
network. With the recent growth of the Internet such security limitations are
becoming more and more pressing. Most of the current network intrusion
detection systems relay on labeled training data. An Unsupervised CA based
anomaly detection technique that was trained with unlabelled data is capable of
detecting previously unseen attacks. This new approach, based on the Cellular
Automata classifier (CAC) with Genetic Algorithms (GA), is used to classify
program behavior as normal or intrusive. Parameters and evolution process for
CAC with GA are discussed in detail. This implementation considers both
temporal and spatial information of network connections in encoding the network
connection information into rules in NIDS. Preliminary experiments with KDD Cup
data set show that the CAC classifier with Genetic Algorithms can effectively
detect intrusive attacks and achieve a low false positive rate. Training a
NIDWCA (Network Intrusion Detection with Cellular Automata) classifier takes
significantly shorter time than any other conventional techniques.


title:
Seeing and interacting with the invisible: A powerful tool for the
  learning of science

abstract:
  In order to describe natural phenomena, science develops sophisticated models
that use mathematical and formal languages which seem, and often are, very far
from common experience. When a phenomenon is not accessible to our senses, its
description is indirect and understanding can be difficult for those who are
not trained to understand the consequences of formal languages used by
scientists. When one succeed to obtain a direct visualization of a phenomenon
inaccessible to senses, it is possible to get a deeper understanding since a
very effective channel of learning is involved. A wider and more profound
result in learning process can be obtained if the physical system utilized for
visualization enables direct interaction with the phenomenon. From the infrared
vision to cosmic rays, from the magnetic field to the flow of energy, many
phenomena can be suitable for building systems that allow capturing a greater
awareness of the physical world. Some examples of such systems are given for
relevant topics in physics and for mathematical tools. They were designed for a
summer school for students in the last years of high school or for deepening
laboratories addressed to talented students in secondary school, but with some
attention it is possible to adapt them to other cases like high school classes
or undergraduate students.


title: Codimension two complete intersections and Hilbert-Poincar\'e series

abstract:
  We investigate the relation between codimension two smooth complete
intersections in a projective space and some naturally associated graded
algebras. We give some examples of log-concave polynomials and we propose two
conjectures for these algebras.


title:
On the Secrecy Outage Capacity of Physical Layer Security in Large-Scale
  MIMO Relaying Systems with Imperfect CSI

abstract:
  In this paper, we study the problem of physical layer security in a
large-scale multiple-input multiple-output (LS-MIMO) relaying system. The
advantage of LS-MIMO relaying systems is exploited to enhance both wireless
security and spectral efficiency. In particular, the challenging issue incurred
by short interception distance is well addressed. Under very practical
assumptions, i.e., no eavesdropper's channel state information (CSI) and
imperfect legitimate channel CSI, this paper gives a thorough investigation of
the impact of imperfect CSI in two classic relaying systems, i.e.,
amplify-and-forward (AF) and decode-and-forward (DF) systems, and obtain
explicit expressions of secrecy outage capacities for both cases. Finally, our
theoretical claims are validated by the numerical results.


title: Nonlinear relativistic mean-field theory studies on He isotopes

abstract:
  The ground state properties of He isotopes are studied in the nonlinear
relativistic mean-field (RMF) theory with force parameters NL-SH and TM2. The
modified Glauber model as a gatekeeper is introduced to check the calculations.
The investigation shows that the RMF theory provides a good description on the
properties of He isotopes. The many-body space information of 4He + neutrons
are obtained reliably. As a product, the calculation gives a strong evidence
for neutron halo in 5He.


title:
Synchronous concentration and purification schemes of arbitrary unknown
  hyperentangled mixed states

abstract:
  We present two efficient schemes which can simultaneously accomplish
hyperentanglement concentration and purification for two-photon four-qubit
systems in an unknown partially hyperentangled mixed states. The first can
correct errors in the polarization entanglement and extract maximal
hyperentanglement in polarization and spatial mode with additional partial
frequency entanglement. The second uses additional maximal frequency
entanglement to purify and concentrate hyperentanglement in polarization and
spatial mode deterministically. Both of the two schemes are only based on
existing optical devices and cross-Kerr nonlinearities.


title:
Equivariant bordism of 2-torus manifolds and unitary toric manifolds--a
  survey

abstract:
  In this paper we survey results and recent progresses on the equivariant
bordism classification of 2-torus manifolds and unitary toric manifolds.


title: Spin Fluctuations and Frustrated Magnetism in the Multiferroic FeVO$_4$

abstract:
  We report $^{51}$V nuclear magnetic resonance (NMR) studies on single
crystals of the multiferroic material FeVO$_4$. The high-temperature Knight
shift shows Curie-Weiss behavior, $^{51}K = a/(T + \theta)$, with a large Weiss
constant $\theta \approx$ 116 K. However, the $^{51}$V spectrum shows no
ordering near these temperatures, splitting instead into two peaks below 65 K,
which suggests only short-ranged magnetic order on the NMR time scale. Two
magnetic transitions are identified from peaks in the spin-lattice relaxation
rate, $1/^{51}T_1$, at temperatures $T_{N1} \approx$ 19 K and $T_{N2} \approx$
13 K, which are lower than the estimates obtained from polycrystalline samples.
In the low-temperature incommensurate spiral state, the maximum ordered moment
is estimated as 1.95${\mu}_B$/Fe, or 1/3 of the local moment. Strong low-energy
spin fluctuations are also indicated by the unconventional power-law
temperature dependence $1/^{51}T_1 \propto T^2$. The large Weiss constant,
short-range magnetic correlations far above $T_{N1}$, small ordered moment,
significant low-energy spin fluctuations, and incommensurate ordered phases all
provide explicit evidence for strong magnetic frustration in FeVO$_4$.


title: The Entropy of BTZ Black Hole from Loop Quantum Gravity

abstract:
  In this paper, we calculated the entropy of the BTZ black hole in the
framework of loop quantum gravity. We got the result that the horizon degrees
of freedom can be described by the 2D SO(1,1) punctured BF theory. Finally we
got the area law for the entropy of BTZ black hole.


title: Tidal-induced lopsidedness in Magellanic-type galaxies

abstract:
  We investigate the tidally-induced conversion of barred late-type spirals to
Magellanic-type discs with numerical simulations, to establish how the lifetime
of lopsidedness (asymmetry) varies with numerical parametrizations. Using a
reference model based on observed properties of the Large Magellanic Cloud
(LMC), we show that its off-centre bar, one-arm spiral and one-sided star
formation can be induced by a brief tidal interaction. We thereafter perform a
detailed parameter study, and find that at the dynamical mass of LMC-type discs
($\sim$10$^{\rm 10}$ \md{}), stellar lopsidedness (as quantified by the m$=$1
Fourier mode) and bar off-centredness can vary widely in amplitude, but are
generally short-lived ($\sim$Gyr). Tidal interactions induce more persistent
lopsidedness in lower mass galaxies (several Gyr), in particular those with
large halo-to-disc mass ratios as implied by recent halo occupation models. We
suggest that the tidal interactions play a larger role in the observed ubiquity
of lopsidedness than the presently favoured gas accretion mechanism for lower
mass galaxies. Other characteristics of Magellanic-type galaxies, such as
one-sided star formation, are quantified and tend to arise more prominently in
discs with later-type spiral structure (more halo dominated inner disc, weaker
bars) following retrograde orbital encounters.


title: Power of individuals -- Controlling centrality of temporal networks

abstract:
  Temporal networks are such networks where nodes and interactions may appear
and disappear at various time scales. With the evidence of ubiquity of temporal
networks in our economy, nature and society, it's urgent and significant to
focus on structural controllability of temporal networks, which nowadays is
still an untouched topic. We develop graphic tools to study the structural
controllability of temporal networks, identifying the intrinsic mechanism of
the ability of individuals in controlling a dynamic and large-scale temporal
network. Classifying temporal trees of a temporal network into different types,
we give (both upper and lower) analytical bounds of the controlling centrality,
which are verified by numerical simulations of both artificial and empirical
temporal networks. We find that the scale-free distribution of node's
controlling centrality is virtually independent of the time scale and types of
datasets, meaning the inherent heterogeneity and robustness of the controlling
centrality of temporal networks.


title: Double total ramifications for curves of genus 2

abstract:
  Inside the moduli space of curves of genus 2 with 2 marked points we consider
the loci of curves admitting a map to P^1 of degree d totally ramified over the
two marked points, for d>= 2. Such loci have codimension two. We compute the
class of their compactifications in the moduli space of stable curves. Several
results will be deduced from this computation.


title:
Existence of a lower bound for the distance between point masses of
  relative equilibria in spaces of constant curvature

abstract:
  We prove that if for the curved $n$-body problem the masses are given, the
minimum distance between the point masses of a specific type of relative
equilibrium solution to that problem has a universal lower bound that is not
equal to zero. We furthermore prove that the set of all such relative
equilibria is compact. This class of relative equilibria includes all relative
equilibria of the curved $n$-body problem in $\mathbb{S}^{2}$, $\mathbb{H}^{2}$
and a significant subset of the relative equilibria for $\mathbb{S}^{3}$ and
$\mathbb{H}^{3}$.


title:
On the minimum distance between masses of relative equilibria of the
  $n$-body problem

abstract:
  We prove that if for relative equilibrium solutions of a generalisation of
the $n$-body problem of celestial mechanics the masses and rotation are given,
then the minimum distance between the point masses of such a relative
equilibrium has a universal lower bound that is not equal to zero. We
furthermore prove that the set of such relative equilibria is compact.


title: Defects induced ferromagnetism in plasma-enabled graphene nanopetals

abstract:
  Ferromagnetism in graphene is fascinating, but it is still a big challenge
for practical applications due to the weak magnetization. In order to enhance
the magnetization, here, we design plasma-enabled graphene nanopetals with
ultra-long defective edges of up to 105 m/g, ultra-dense lattice vacancies and
hydrogen chemisorptions. The designed graphene nanopetals display robust
ferromagnetism with large saturation magnetization of up to 2 emu/g at 5 K and
1.2 emu/g at room temperatures. This work identifies the plasma-enabled
graphene nanopetals as a promising candidate for graphene-based magnetic
devices.


title:
Easy Java Simulation, an innovative tool for teachers as designers of
  gravity-physics computer models

abstract:
  This paper is on customization of computer models using the Easy Java
Simulation authoring toolkit for the Singapore syllabus, based on real
astronomical data, supported with literature reviewed researched pedagogical
features. These 4 new computer models serves to support the enactment of
scientific work that are inquiry centric and evidence based that are more
likely to promote enjoyment and inspire imagination having experienced
gravity-physics than traditional pen and paper problem solving. Pilot research
suggests students enactment of investigative learning like scientist is now
possible, where gravity-physics comes alive.


title: Magneto-Electric Dipole Antenna Arrays

abstract:
  A planar magneto-electric (ME) dipole antenna array is proposed and
demonstrated by both full-wave analysis and experiments. The proposed structure
leverages the infinite wavelength propagation characteristic of composite
right/left-handed (CRLH) transmission lines to form high-gain magnetic
radiators combined with radial conventional electric radiators, where the
overall structure is excited by a single differential feed. The traveling-wave
type nature of the proposed ME-dipole antenna enables the formation of
directive arrays with high-gain characteristics and scanning capability. Peak
gains of 10.84 dB and 5.73 dB are demonstrated for the electric dipole and
magnetic-dipole radiation components, respectively.


title: Lines Missing Every Random Point

abstract:
  We prove that there is, in every direction in Euclidean space, a line that
misses every computably random point. We also prove that there exist, in every
direction in Euclidean space, arbitrarily long line segments missing every
double exponential time random point.


title: Cyclic Covers over Strongly Liftable Schemes

abstract:
  A smooth scheme $X$ over a field $k$ of positive characteristic is said to be
strongly liftable over $W_2(k)$, if $X$ and all prime divisors on $X$ can be
lifted simultaneously over $W_2(k)$. In this paper, we give a criterion for
that cyclic covers over strongly liftable schemes are still strongly liftable.
As a corollary, cyclic covers over projective spaces of dimension at least
three are strongly liftable over $W_2(k)$.


title:
Mutations of puzzles and equivariant cohomology of two-step flag
  varieties

abstract:
  We introduce a mutation algorithm for puzzles that is a three-direction
analogue of the classical jeu de taquin algorithm for semistandard tableaux. We
apply this algorithm to prove our conjectured puzzle formula for the
equivariant Schubert structure constants of two-step flag varieties. This
formula gives an expression for the structure constants that is positive in the
sense of Graham. Thanks to the equivariant version of the `quantum equals
classical' result, our formula specializes to a Littlewood-Richardson rule for
the equivariant quantum cohomology of Grassmannians.


title:
Unconventional superconductivity in iron-base superconductors in a
  three-band model

abstract:
  Iron-base superconductors exhibits features of systems where the
Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) phase, a superconducting state with
non-zero total momentum of Cooper pairs, is actively sought. Experimental and
theoretical evidence points strongly to the FFLO phase in these materials above
the Pauli limit. In this article we discuss the ground state of iron-base
superconductors near the critical magnetic field and the full $h-T$ phase
diagram for pnictides in case of intra-band pairing, in a three-band model with
$s_{\pm}$ symmetry.


title: Vanishing Theorems on Toric Varieties, with Erratum to a Former Paper

abstract:
  In this paper, we clarify the mistakes made in the former article entitled
"Vanishing Theorems on Toric Varieties in Positive Characteristic". On the
other hand, we use the positive characteristic method to reprove the Bott
vanishing theorem, the degeneration of the Hodge to de Rham spectral sequence
and the Kawamata-Viehweg vanishing theorem for log pairs on toric varieties
over a field of arbitrary characteristic, where concerned Weil divisors are
torus invariant.


title: Randomized methods for rank-deficient linear systems

abstract:
  We present a simple, accurate method for solving consistent, rank-deficient
linear systems, with or without addi- tional rank-completing constraints. Such
problems arise in a variety of applications, such as the computation of the
eigenvectors of a matrix corresponding to a known eigenvalue. The method is
based on elementary linear algebra combined with the ob- servation that if the
matrix is rank-k deficient, then a random rank-k perturbation yields a
nonsingular matrix with probability 1.


title:
Use Case Point Approach Based Software Effort Estimation using Various
  Support Vector Regression Kernel Methods

abstract:
  The job of software effort estimation is a critical one in the early stages
of the software development life cycle when the details of requirements are
usually not clearly identified. Various optimization techniques help in
improving the accuracy of effort estimation. The Support Vector Regression
(SVR) is one of several different soft-computing techniques that help in
getting optimal estimated values. The idea of SVR is based upon the computation
of a linear regression function in a high dimensional feature space where the
input data are mapped via a nonlinear function. Further, the SVR kernel methods
can be applied in transforming the input data and then based on these
transformations, an optimal boundary between the possible outputs can be
obtained. The main objective of the research work carried out in this paper is
to estimate the software effort using use case point approach. The use case
point approach relies on the use case diagram to estimate the size and effort
of software projects. Then, an attempt has been made to optimize the results
obtained from use case point analysis using various SVR kernel methods to
achieve better prediction accuracy.


title: The time-averaged limit measure of the Wojcik model

abstract:
  We investigate "the Wojcik model" introduced and studied by Wojcik et al.,
which is a one-defect quantum walk (QW) having a single phase at the origin.
They reported that giving a phase at one point causes an astonishing effect for
localization. There are three types of measures having important roles in the
study of QWs: time-averaged limit measure, weak limit measure, and stationary
measure. The first two measures imply a coexistence of localized behavior and
the ballistic spreading in the QW. As Konno et al. suggested, the time-averaged
limit and stationary measures are closely related to each other for some
models. In this paper, we focus on a relation between the two measures for the
Wojcik model. The stationary measure was already obtained by our previous work.
Here, we get the time-averaged limit measure by several methods. Our results
show that the stationary measure is a special case of the time-averaged limit
measure.


title:
A Framework of Performance Analysis for Distributed Antenna Systems
  Based on Random Matrix Theory

abstract:
  Future communications systems will definitely be built on green
infrastructures. To realize such a goal, recently a new network infrastructure
named cloud radio access network (C-RAN) is proposed by China Mobile to enhance
network coverage and save energy simultaneously. In C-RANs, to order to save
more energy the radio front ends are separated from the colocated baseband
units and distributively located in physical positions. C-RAN can be recognized
as a variant of distributed antenna systems (DASs). In this paper we analyze
the performance of C-RANS using random matrix theory. Due to the fact that the
antennas are distributed geographically instead of being installed nearby, the
variances of the entries in the considered channel matrix are different from
each other. To the best of the authors' knowledge, the work on random matrices
with elements having different variances is largely open, which is of great
importance for DASs. In our work, some fundamental results on the eigenvalue
distributions of the random matrices with different variances are derived
first. Then based on these fundamental conclusions the outage probability of
the considered DAS is derived. Finally, the accuracy of our analytical results
is assessed by some numerical results.


title: On an invariance property of the space of smooth vectors

abstract:
  Let $(\pi, \mathcal H)$ be a continuous unitary representation of the
(infinite dimensional) Lie group $G$ and $\gamma \: \mathbb R \to
\mathrm{Aut}(G)$ define a continuous action of $\mathbb R$ on $G$. Suppose that
$\pi^\#(g,t) = \pi(g) U_t$ defines a continuous unitary representation of the
semidirect product group $G \rtimes_\gamma \mathbb R$. The first main theorem
of the present note provides criteria for the invariance of the space $\mathcal
H^\infty$ of smooth vectors of $\pi$ under the operators $U_f = \int_\mathbb R
f(t)U_t\, dt$ for $f \in L^1(\mathbb R)$, resp., $f \in \mathcal S(\mathbb R)$.
Using this theorem we show that, for suitably defined spectral subspaces
$\mathfrak g_{\mathbb C}(E)$, $E \subseteq \mathbb R$, in the complexified Lie
algebra $\mathfrak g_{\mathbb C}$, and $\mathcal H^\infty(F)$, $F\subseteq
\mathbb R$, for $U$ in $\mathcal H^\infty$, we have \[ \mathsf{d}\pi(\mathfrak
g_{\mathbb C}(E)) \mathcal H^\infty(F) \subseteq \mathcal H^\infty(E + F).\]


title: Pfaffian sum formula for the symplectic Grassmannians

abstract:
  We study the torus equivariant Schubert classes of the Grassmannian of
non-maximal isotropic subspaces in a symplectic vector space. We prove a
formula that expresses each of those classes as a sum of multi Schur-Pfaffians,
whose entries are equivariantly modified special Schubert classes. Our result
gives a proof to Wilson's conjectural formula, which generalizes the Giambelli
formula for the ordinary cohomology proved by Buch-Kresch-Tamvakis, given in
terms of Young's raising operators. Furthermore we show that the formula
extends to a certain family of Schubert classes of the symplectic partial
isotropic flag varieties.


title: High-spin structures of $^{86,87,88,89}$Y: a shell model interpretation

abstract:
  In this work nuclear structure properties of $^{86,87,88,89}$Y isotopes have
been investigated using large-scale shell-model calculations within the full
$f_{5/2}pg_{9/2}$ model space. The calculations have been performed with JUN45
and jj44b effective interactions that have been proposed for use in the
$f_{5/2}$, $p_{3/2}$, $p_{1/2}$, $g_{9/2}$ model space for both protons and
neutrons. Reasonable agreement between experimental and calculated values are
obtained. This work will add more information to previous study by projected
shell model [Eur. Phys. J. A 48, 138 (2012)] where full-fledged shell model
calculations proposed for these nuclei.


title: Multicast Network Coding and Field Sizes

abstract:
  In an acyclic multicast network, it is well known that a linear network
coding solution over GF($q$) exists when $q$ is sufficiently large. In
particular, for each prime power $q$ no smaller than the number of receivers, a
linear solution over GF($q$) can be efficiently constructed. In this work, we
reveal that a linear solution over a given finite field does \emph{not}
necessarily imply the existence of a linear solution over all larger finite
fields. Specifically, we prove by construction that: (i) For every source
dimension no smaller than 3, there is a multicast network linearly solvable
over GF(7) but not over GF(8), and another multicast network linearly solvable
over GF(16) but not over GF(17); (ii) There is a multicast network linearly
solvable over GF(5) but not over such GF($q$) that $q > 5$ is a Mersenne prime
plus 1, which can be extremely large; (iii) A multicast network linearly
solvable over GF($q^{m_1}$) and over GF($q^{m_2}$) is \emph{not} necessarily
linearly solvable over GF($q^{m_1+m_2}$); (iv) There exists a class of
multicast networks with a set $T$ of receivers such that the minimum field size
$q_{min}$ for a linear solution over GF($q_{min}$) is lower bounded by
$\Theta(\sqrt{|T|})$, but not every larger field than GF($q_{min}$) suffices to
yield a linear solution. The insight brought from this work is that not only
the field size, but also the order of subgroups in the multiplicative group of
a finite field affects the linear solvability of a multicast network.


title: Multi-region relaxed magnetohydrodynamics with flow

abstract:
  We present an extension of the multi-region relaxed magnetohydrodynamics
(MRxMHD) equilibrium model that includes plasma flow. This new model is a
generalization of Woltjer's model of relaxed magnetohydrodynamics equilibria
with flow. We prove that as the number of plasma regions becomes infinite our
extension of MRxMHD reduces to ideal MHD with flow. We also prove that some
solutions to MRxMHD with flow are not time-independent in the laboratory frame,
and instead have 3D structure which rotates in the toroidal direction with
fixed angular velocity. This capability gives MRxMHD potential application to
describing rotating 3D MHD structures such as 'snakes' and long-lived modes.


title:
Cosmological perturbations in the models of dark energy and modified
  gravity

abstract:
  The quasi-static solutions of the matter density perturbation in various dark
energy models and modified gravity models have been investigated in numerous
papers. However, the oscillating solutions in those models have not been
investigated enough so far. In this paper, the oscillating solutions, which
have a possibility to unveil the difference between the models of the late-time
accelerated expansion of the Universe, are also mentioned by using appropriate
approximations.


title:
Ultrafast Electron Dynamics in the Topological Insulator Bi2Se3 Studied
  by Time-Resolved Photoemission Spectroscopy

abstract:
  We characterize the topological insulator Bi$_2$Se$_3$ using time- and angle-
resolved photoemission spectroscopy. By employing two-photon photoemission, a
complete picture of the unoccupied electronic structure from the Fermi level up
to the vacuum level is obtained. We demonstrate that the unoccupied states host
a second, Dirac surface state which can be resonantly excited by 1.5 eV
photons. We then study the ultrafast relaxation processes following optical
excitation. We find that they culminate in a persistent non-equilibrium
population of the first Dirac surface state, which is maintained by a
meta-stable population of the bulk conduction band. Finally, we perform a
temperature-dependent study of the electron-phonon scattering processes in the
conduction band, and find the unexpected result that their rates decrease with
increasing sample temperature. We develop a model of phonon emission and
absorption from a population of electrons, and show that this counter-intuitive
trend is the natural consequence of fundamental electron-phonon scattering
processes. This analysis serves as an important reminder that the decay rates
extracted by time-resolved photoemission are not in general equal to single
electron scattering rates, but include contributions from filling and emptying
processes from a continuum of states.


title: Barnes-type Daehee polynomials

abstract:
  In this paper, we consider Barnes-type Daehee polynomials of the first kind
and of the second kind. From the properties of Sheffer sequences of these
polynomials arising from umbral calculus, we derive new and interesting
identities.


title: Charge Pumping Through a Single Donor Atom

abstract:
  Presented in this paper is a proof-of-concept for a new approach to single
electron pumping based on a Single Atom Transistor (SAT). By charge pumping
electrons through an isolated dopant atom in silicon, precise currents of up to
160 pA at 1 GHz are generated, even if operating at 4.2 K, with no magnetic
field applied, and only when one barrier is addressed by sinusoidal voltage
cycles.


title:
Structural ground states of ($A,A'$)Cr$_2$O$_4$($A$=Mg, Zn; $A^{\prime}$
  = Co, Cu) spinel solid solutions: Spin-Jahn-Teller and Jahn-Teller effects

abstract:
  We examine the effect of small amounts of magnetic substituents in the $A$
sites of the frustrated spinels MgCr$_2$O$_4$ and ZnCr$_2$O$_4$. Specifically
we look for the effects of spin and lattice disorder on structural changes
accompanying magnetic ordering in these compounds. Substitution of Co$^{2+}$ on
the non-magnetic Zn$^{2+}$ site in Zn$_{1-x}$Co$_{x}$Cr$_2$O$_4$ where
0\,$<$\,$x$\,$\leq$\,0.2 completely suppresses the spin-Jahn-Teller distortion
of ZnCr$_2$O$_4$ although these systems remain frustrated, and magnetic
ordering occurs at very low temperatures of $T$\,$<$\,20\,K. On the other hand,
the substitution of Jahn-Teller active Cu$^{2+}$ for Mg$^{2+}$ and Zn$^{2+}$ in
Mg$_{1-x}$Cu$_{x}$Cr$_2$O$_4$ and Zn$_{1-x}$Cu$_{x}$Cr$_2$O$_4$ where
0\,$<$\,$x$\,$\leq$\,0.2 induce Jahn-Teller ordering at temperatures well above
the N\'eel temperatures of these solid solutions, and yet spin interactions
remain frustrated with long-range magnetic ordering occurring below 20\,K
without any further lattice distortion. The Jahn-Teller distorted solid
solutions Mg$_{1-x}$Cu$_{x}$Cr$_2$O$_4$ and Zn$_{1-x}$Cu$_{x}$Cr$_2$O$_4$ adopt
the orthorhombic $Fddd$ structure of ferrimagnetic CuCr$_2$O$_4$. Total neutron
scattering studies of Zn$_{1-x}$Cu$_{x}$Cr$_2$O$_4$ suggest that there are
local $A$O$_4$ distortions in these Cu$^{2+}$-containing solid solutions at
room temperature and that these distortions become cooperative when average
structure distortions occur. Magnetism evolves from compensated
antiferromagnetism in MgCr$_2$O$_4$ and ZnCr$_2$O$_4$ to uncompensated
antiferromagnetism with substitution of magnetic cations on the non-magnetic
cation sites of these frustrated compounds.


title:
Global existence for the two-component Camassa-Holm system and the
  modified two-component Camassa-Holm system

abstract:
  The present work is mainly concerned with global existence for the
two-component Camassa-Holm system and the modified two-component Camassa-Holm
system. By discovering new conservative quantities of these systems, we prove
several new global existence results for these two-component shallow water
systems.


title: Amplitude Analysis of the $D^+ \to K^0_S \pi^+ \pi^0$ Dalitz Plot

abstract:
  We perform an analysis of the $D^+ \to K^0_S \pi^+ \pi^0$ Dalitz plot using a
data set of 2.92 fb$^{-1}$ of $e^+e^-$ collisions at the $\psi(3770)$ mass
accumulated by the BESIII Experiment, in which 166694 candidate events are
selected with a background of 15.1%. The Dalitz plot is found to be
well-represented by a combination of six quasi-two-body decay channels
($K^0_S\rho^+$, $K^0_S\rho(1450)^+$, $\overline{K}^{*0}\pi^+$,
$\overline{K}_0(1430)^0\pi^+$, $\overline{K}(1680)^0\pi^+$,
$\overline{\kappa}^0\pi^+$) plus a small non-resonant component. Using the fit
fractions from this analysis, partial branching ratios are updated with higher
precision than previous measurements.


title:
A comparison of Bayesian and frequentist interval estimators in
  regression that utilize uncertain prior information

abstract:
  Consider a linear regression model with regression parameter beta and
normally distributed errors. Suppose that the parameter of interest is theta =
a^T beta where a is a specified vector. Define the parameter tau = c^T beta - t
where c and t are specified and a and c are linearly independent. Also suppose
that we have uncertain prior information that tau = 0. Kabaila and Giri, 2009,
JSPI, describe a new frequentist 1-alpha confidence interval for theta that
utilizes this uncertain prior information. We compare this confidence interval
with Bayesian 1-alpha equi-tailed and shortest credible intervals for theta
that result from a prior density for tau that is a mixture of a rectangular
"slab" and a Dirac delta function "spike", combined with noninformative prior
densities for the other parameters of the model. We show that these frequentist
and Bayesian interval estimators depend on the data in very different ways. We
also consider some close variants of this prior distribution that lead to
Bayesian and frequentist interval estimators with greater similarity.
Nonetheless, as we show, substantial differences between these interval
estimators remain.


title: 16 Years of RXTE Monitoring of Five Anomalous X-ray Pulsars

abstract:
  We present a summary of the long-term evolution of various properties of the
five non-transient Anomalous X-ray Pulsars (AXPs) 1E 1841-045, RXS
J170849.0-400910, 1E 2259+586, 4U 0142+61, and 1E 1048.1-5937, regularly
monitored with RXTE from 1996 to 2012. We focus on three properties of these
sources: the evolution of the timing, pulsed flux, and pulse profile. We report
several new timing anomalies and radiative events, including a putative
anti-glitch seen in 1E 2259+586 in 2009, and a second epoch of very large
spin-down rate fluctuations in 1E 1048.1-5937 following a large flux outburst.
We compile the properties of the 11 glitches and 4 glitch candidates observed
from these 5 AXPs between 1996 and 2012. Overall, these monitoring observations
reveal several apparent patterns in the behavior of this sample of AXPs: large
radiative changes in AXPs (including long-lived flux enhancements, short
bursts, and pulse profile changes) are rare, occurring typically only every few
years per source; large radiative changes are almost always accompanied by some
form of timing anomaly, usually a spin-up glitch; only 20-30% of timing
anomalies are accompanied by any form of radiative change. We find that AXP
radiative behavior at the times of radiatively loud glitches is sufficiently
similar to suggest common physical origins. The similarity in glitch properties
when comparing radiatively loud and radiatively silent glitches in AXPs
suggests a common physical origin in the stellar interior. Finally, the overall
similarity of AXP and radio pulsar glitches suggests a common physical origin
for both phenomena.


title: A class of semiprimitive groups that are graph-restrictive

abstract:
  We prove that an infinite family of semiprimitive groups are
graph-restrictive. This adds to the evidence for the validity of the PSV
Conjecture and increases the minimal imprimitive degree for which this
conjecture is open to 12. Our result can be seen as a generalisation of the
well-known theorem of Tutte on cubic graphs. The proof uses the amalgam method,
adapted to this new situation.


title:
Upper estimate of the best accuracy of derivative reconstruction based
  on the values of functions of Besov classes with mixed smoothness

abstract:
  The work provides an upper estimate of the best accuracy for the problem of
reconstructing derivatives based on function values at a given number of points
for the functions of Besov classes meeting the mixed Hoelder conditions. In
some cases this estimate appears to be stronger than the earlier respective
estimate obtained by the author in the problem being considered.


title: Secret Message Transmission by HARQ with Multiple Encoding

abstract:
  Secure transmission between two agents, Alice and Bob, over block fading
channels can be achieved similarly to conventional hybrid automatic repeat
request (HARQ) by letting Alice transmit multiple blocks, each containing an
encoded version of the secret message, until Bob informs Alice about successful
decoding by a public error-free return channel. In existing literature each
block is a differently punctured version of a single codeword generated with a
Wyner code that uses a common randomness for all blocks. In this paper instead
we propose a more general approach where multiple codewords are generated from
independent randomnesses. The class of channels for which decodability and
secrecy is ensured is characterized, with derivations for the existence of
secret codes. We show in particular that the classes are not a trivial subset
(or superset) of those of existing schemes, thus highlighting the novelty of
the proposed solution. The result is further confirmed by deriving the average
achievable secrecy throughput, thus taking into account both decoding and
secrecy outage.


title: From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation

abstract:
  We derive the Kuramoto-Sivashinsky-type phase equation from the
Kuramoto-Sakaguchi-type phase model via the Ott-Antonsen-type complex amplitude
equation and demonstrate heterogeneity-induced collective-phase turbulence in
nonlocally coupled individual-phase oscillators.


title: From Participatory Sensing to Mobile Crowd Sensing

abstract:
  The research on the efforts of combining human and machine intelligence has a
long history. With the development of mobile sensing and mobile Internet
techniques, a new sensing paradigm called Mobile Crowd Sensing (MCS), which
leverages the power of citizens for large-scale sensing has become popular in
recent years. As an evolution of participatory sensing, MCS has two unique
features: (1) it involves both implicit and explicit participation; (2) MCS
collects data from two user-participant data sources: mobile social networks
and mobile sensing. This paper presents the literary history of MCS and its
unique issues. A reference framework for MCS systems is also proposed. We
further clarify the potential fusion of human and machine intelligence in MCS.
Finally, we discuss the future research trends as well as our efforts to MCS.


title:
Relationship between Superconductivity and Antiferromagnetism in
  LaFe(As$_{1-x}$P$_{x}$)O Revealed by $^{31}$P-NMR

abstract:
  We performed $^{31}$P-NMR measurements on LaFe(As$_{1-x}$P$_{x}$)O to
investigate the relationship between antiferromagnetism and superconductivity.
The antiferromagnetic (AFM) ordering temperature $T_{\rm N}$ and the moment
$\mu_{\rm ord}$ are continuously suppressed with increasing P content $x$ and
disappear at $x = 0.3$ where bulk superconductivity appears. At this
superconducting $x = 0.3$, quantum critical AFM fluctuations are observed,
indicative of the intimate relationship between superconductivity and
low-energy AFM fluctuations associated with the quantum-critical point in
LaFe(As$_{1-x}$P$_{x}$)O. The relationship is similar to those observed in
other isovalent-substitution systems, e.g., BaFe$_{2}$(As$_{1-x}$P$_{x}$)$_{2}$
and SrFe$_{2}$(As$_{1-x}$P$_{x}$)$_{2}$, with the "122" structure. Moreover,
the AFM order reappears with further P substitution ($x > 0.4$). The variation
of the ground state with respect to the P substitution is considered to be
linked to the change in the band character of Fe-3$d$ orbitals around the Fermi
level.


title:
Monte Carlo Simulation of Indoor External Exposure due to Gamma-emitting
  Radionuclides in Building Materials

abstract:
  The use of building materials containing naturally occurring
radionuclides,such as K-40, U-238 and Th-232 and their progeny, could lead to
external exposures of the residents of such buildings. In this paper, a set of
models are set up to calculate the specific effective dose rates(the effective
dose rate per Bq/kg of K-40, U-238 series, and Th-232 series) imposed to
residents by building materials with MCNPX code. Effect of chemical
composition, position concerned in the room and thickness as well as density of
material is analyzed. In order to facilitate more precise assessment of indoor
external dose due to gamma emitting radionuclides in building materials, three
regressive expressions are proposed and validated by measured data to calculate
specific effective rate for K-40, U-238 series and Th-232 series, respectively.


title: Rate-Distortion for Ranking with Incomplete Information

abstract:
  We study the rate-distortion relationship in the set of permutations endowed
with the Kendall Tau metric and the Chebyshev metric. Our study is motivated by
the application of permutation rate-distortion to the average-case and
worst-case analysis of algorithms for ranking with incomplete information and
approximate sorting algorithms. For the Kendall Tau metric we provide bounds
for small, medium, and large distortion regimes, while for the Chebyshev metric
we present bounds that are valid for all distortions and are especially
accurate for small distortions. In addition, for the Chebyshev metric, we
provide a construction for covering codes.


title:
Attenuation and shock waves in linear hereditary viscoelastic media.
  Strick-Mainardi, Jeffreys-Lomnitz-Strick and Andrade creep compliances

abstract:
  Dispersion, attenuation and wavefronts in a class of linear viscoelastic
media proposed by Strick and Mainardi in 1982 and a related class of models due
to Lomnitz, Jeffreys and Strick are studied by a new method due to the Author.
Unlike the previously studied explicit models of relaxation modulus or creep
compliance, these two classes support propagation of discontinuities. Due to an
extension made by Strick either of these two classes of models comprise both
viscoelastic solids and fluids.


title: Coupling spin ensembles via superconducting flux qubits

abstract:
  We study a hybrid quantum system consisting of spin ensembles and
superconducting flux qubits, where each spin ensemble is realized using the
nitrogen-vacancy centers in a diamond crystal and the nearest-neighbor spin
ensembles are effectively coupled via a flux qubit.We show that the coupling
strengths between flux qubits and spin ensembles can reach the strong and even
ultrastrong coupling regimes by either engineering the hybrid structure in
advance or tuning the excitation frequencies of spin ensembles via external
magnetic fields. When extending the hybrid structure to an array with equal
coupling strengths, we find that in the strong-coupling regime, the hybrid
array is reduced to a tight-binding model of a one-dimensional bosonic lattice.
In the ultrastrong-coupling regime, it exhibits quasiparticle excitations
separated from the ground state by an energy gap. Moreover, these quasiparticle
excitations and the ground state are stable under a certain condition that is
tunable via the external magnetic field. This may provide an experimentally
accessible method to probe the instability of the system.


title:
Seismic constraints on the radial dependence of the internal rotation
  profiles of six Kepler subgiants and young red giants

abstract:
  Context : We still do not know which mechanisms are responsible for the
transport of angular momentum inside stars. The recent detection of mixed modes
that contain the signature of rotation in the spectra of Kepler subgiants and
red giants gives us the opportunity to make progress on this issue.
  Aims: Our aim is to probe the radial dependance of the rotation profiles for
a sample of Kepler targets. For this purpose, subgiants and early red giants
are particularly interesting targets because their rotational splittings are
more sensitive to the rotation outside the deeper core than is the case for
their more evolved counterparts.
  Methods: We first extract the rotational splittings and frequencies of the
modes for six young Kepler red giants. We then perform a seismic modeling of
these stars using the evolutionary codes CESAM2k and ASTEC. By using the
observed splittings and the rotational kernels of the optimal models, we
perform inversions of the internal rotation profiles of the six stars.
  Results: We obtain estimates of the mean rotation rate in the core and in the
convective envelope of these stars. We show that the rotation contrast between
the core and the envelope increases during the subgiant branch. Our results
also suggest that the core of subgiants spins up with time, contrary to the RGB
stars whose core has been shown to spin down. For two of the stars, we show
that a discontinuous rotation profile with a deep discontinuity reproduces the
observed splittings significantly better than a smooth rotation profile.
Interestingly, the depths that are found most probable for the discontinuities
roughly coincide with the location of the H-burning shell, which separates the
layers that contract from those that expand. These results will bring
observational constraints to the scenarios of angular momentum transport in
stars.


title: Entropy Flattening, Gas Clumping and Turbulence in Galaxy Clusters

abstract:
  Several physical processes and formation events are expected in cluster
outskirts, a vast region up to now essentially not covered by observations. The
recent Suzaku (X-ray) and Planck (Sunayev-Zeldovich effect) observations out to
the virial radius have highlighted in these peripheral regions a rather sharp
decline of the intracluster gas temperature, an entropy flattening in contrast
with the theoretically expected power law increase, the break of the
hydrostatic equilibrium even in some relaxed clusters, a derived gas mass
fraction above the cosmic value measured from several CMB experiments, and a
total X-ray mass lower than the weak lensing mass determinations. Here we
present the analysis of four clusters (A1795, A2029, A2204 and A133) with the
SuperModel that includes a nonthermal pressure component due to turbulence to
sustain the hydrostatic equilibrium also in the cluster outskirts. In such way
we obtain a correct determination of the total X-ray mass and of the gas mass
fraction; this in turn allows to determine the level of the gas clumping that
can affect the shape of the entropy profiles reported by the Suzaku
observations. Our conclusion is that the role of the gas clumping is very
marginal and that the observed entropy flattening is due to the rapid decrement
of the temperature in the cluster outskirts caused by non gravitational
effects. Moreover, we show that the X-ray/SZ joint analysis from ROSAT and
Planck data, as performed in some recent investigations, is inadequate to
discriminate between a power law increase and a flattening of the entropy.


title:
Interference Alignment (IA) and Coordinated Multi-Point (CoMP) overheads
  and RF impairments: testbed results

abstract:
  In this work we investigate the network MIMO techniques of interference
alignment (IA) and fully adaptive joint transmission coordinated multipoint
(CoMP) in an indoor very small cell environment. Our focus is on the overheads
in a system with quantized channel state feedback from the receiver to the
transmitter (based on the 802.11ac standard) and on the impact of non-ideal
hardware. The indoor office scenario should be the most favourable case in
terms of the required feedback rates due to the large coherence bandwidth and
coherence time of the channel. The evaluations are done using a real-world
wireless testbed with three BSs and three MSs all having two antennas. The
signal to noise ratio in the measurements is very high, 35-60dB, due to the
short transmission range. Under such conditions radio hardware impairments
becomes a major limitation on the performance. We quantify the impact of these
impairments. For a 23ms update interval the overhead is 2.5% and IA and CoMP
improves the sum throughput 27% and 47% in average (over the reference schemes
e.g. TDMA MIMO), under stationary conditions. When two people are walking in
the measurement area the throughput improvements drops to 16% and 45%,
respectively.


title:
A non-perturbative effect of gluons for scalar diquark in the
  Schwinger-Dyson formalism

abstract:
  The diquark has been considered to be important effective degrees of freedom
in hadron physics, especially for multi-quark physics and the structure of
heavy hadronic states. Using the Schwinger-Dyson formalism, we investigate the
non-perturbative effect of gluons for scalar diquarks with
renormalization-group improved coupling in the Landau gauge. Here, we treat the
scalar diquark as an effective degree of freedom with a peculiar size, while
the diquark is originally a bound-state-like object of two quarks. Since the
diquark has a non-zero color charge, it strongly interacts with gluons. We
evaluate the gluonic non-perturbative effect to the diquark, considering the
size effect of the diquark. We investigate the mass function of the diquark in
both cases with a constant bare diquark mass and twice of the running quark
self-energy. It is found that the diquark, especially the small diquark,
obtains a large effective mass by the gluonic dressing effect. The scalar
diquark mass seems to be dynamically generated by the non-perturbative effect,
although it does not have the chiral symmetry.


title:
Thermodynamics of hadrons using the Gaussian functional method in the
  linear sigma model

abstract:
  We investigate thermodynamics of hadrons using the Gaussian functional method
(GFM) at finite temperature. Since the interaction among mesons is very large,
we take into account fluctuations of mesons around their mean field values
using the GFM. We obtain the ground state energy by solving the Schr\"{o}dinger
equation. The meson masses are obtained using the energy minimization
condition. The resulting mass of the Nambu-Goldstone boson is not zero even in
the spontaneous chiral symmetry broken phase due to the non-perturbative
effect. We consider then the bound state of mesons using the Bethe-Salpeter
equation and show that the Nambu-Goldstone theorem is recovered. We investigate
further the behavior of the meson masses and the mean filed value as functions
of temperature for the cases of chiral limit and explicit chiral symmetry
breaking.


title:
Solving the 3+1 GRMHD equations in the eXtended Conformally Flat
  Condition: the XNS code for magnetized neutron stars

abstract:
  High-energy phenomena in astrophysics involve quite generally a combination
of relativistic motions and strong gravity. The simultaneous solution of
Einstein equations and General Relativistic MHD equations is thus necessary to
model with accuracy such phenomena. The so-called Conformally Flat Condition
(CFC) allows a simplified treatment of Einstein equations, that can be
particularly efficient in those contexts where gravitational wave emission is
negligible, like core-collapse, or the formation/evolution of neutron stars. We
have developed a set of codes to model axisymmetric MHD flows, in General
Relativity, where the solution of Einstein equations is achieved with a
semi-spectral scheme. Here, we will show how this framework is particularly
well suited to investigate neutron star equilibrium models in the presence of
strong magnetic fields and we will present the XNS code, that has been recently
developed and here updated to treat poloidal and mixed configurations.


title:
Stabilized silicene within bilayer graphene: A proposal based on
  molecular dynamics and density-functional tight-binding calculations

abstract:
  Free standing silicene is predicted to display comparable electronic
properties as graphene. However, the yet synthesized silicene-like structures
have been only realized on different substrates which turned out to exhibit
versatile crystallographic structures that are very different from the
theoretically predicted buckled phase of freestanding silicene. This calls for
a different approach where silicene is stabilized using very weakly interacting
surfaces. We propose here a novel route by using graphene bilayer as a
scaffold. The confinement between the flat graphene layers results in a planar
clustering of Si atoms with small buckling, which is energetically unfavorable
in vacuum. Buckled hexagonal arrangement of Si atoms similar to free-standing
silicene is observed for large clusters, which, in contrast to Si atoms on
metallic surfaces, is only very weakly van der Waals coupled to the graphene
layers. These clusters are found to be stable well above room temperature. Our
findings, which are supported by density functional tight-binding calculations,
show that intercalating bilayer graphene with Si is a favorable route to
realize silicene.


title: Hierarchicality of Trade Flow Networks Reveals Complexity of Products

abstract:
  With globalization, countries are more connected than before by trading
flows, which currently amount to at least 36 trillion dollars. Interestingly,
approximately 30-60 percent of global exports consist of intermediate products.
Therefore, the trade flow network of a particular product with high added
values can be regarded as a value chain. The problem is weather we can
discriminate between these products based on their unique flow network
structure. This paper applies the flow analysis method developed in ecology to
638 trading flow networks of different products. We claim that the allometric
scaling exponent $\eta$ can be used to characterize the degree of
hierarchicality of a flow network, i.e., whether the trading products flow on
long hierarchical chains. Then, the flow networks of products with higher added
values and complexity, such as machinery&transport equipment with larger
exponents, are highlighted. These higher values indicate that their trade flow
networks are more hierarchical. As a result, without extra data such as global
input-output table, we can identify the product categories with higher
complexity and the relative importance of a country in the global value chain
solely by the trading network.


title: Lessons on Black Holes from the Elliptic Genus

abstract:
  We further study the elliptic genus of the cigar SL(2,R)/U(1) coset
superconformal field theory. We find that, even in the small curvature,
infinite level limit, there are holomorphic and non-holomorphic parts that are
due to the discrete states and a mismatch in the spectral densities of the
continuum, respectively. The mismatch in the continuum is universal, in the
sense that it is fully determined by the asymptotic cylindrical topology of the
cigar's throat. Since modularity of the elliptic genus requires both the
holomorphic and non-holomorphic parts, the holomorphic term is universal as
well. The contribution of the discrete states is thus present even for
perturbative strings propagating in the background of large Schwarzschild black
holes. We argue that the discrete states live at a stringy distance from the
tip of the cigar both from the conformal field theory wave-function analysis
and from a holonomy space perspective. Thus, the way string theory takes care
of its self-consistency seems to have important consequences for the physics
near horizons, even for parametrically large black holes.


title: Maximum likelihood estimation in the two-state Markovian arrival process

abstract:
  The Markovian arrival process (MAP) has proven a versatile model for fitting
dependent and non-exponential interarrival times, with a number of applications
to queueing, teletraffic, reliability or finance. Despite theoretical
properties of MAPs and models involving MAPs are well studied, their estimation
remains less explored. This paper examines maximum likelihood estimation of the
second-order MAP using a recently obtained parameterization of the two-state
MAPs.


title: The critical regime of elastic scattering of protons at the LHC

abstract:
  It is shown that the darkness of the interaction region of protons is
governed by the ratio of the slope of the diffraction cone to the total cross
section. At LHC energies, it becomes completely absorptive at small impact
parameters. The lower limit of the ratio is determined. That imposes some
restrictions on its energy behavior. It is argued that the black disk
terminology should be replaced by the black torus.


title: Four-dimensional black holes with unusual horizons

abstract:
  We show that in presence of a cosmological constant or, more generally, of a
scalar potential, there can exist actually more possibilities for the horizon
geometry of a four-dimensional black hole than the hitherto known spherical,
hyperbolic or flat cases. In particular, there are black holes whose event
horizons are noncompact manifolds with finite volume, which are topologically
spheres with two punctures. We give concrete examples of such black holes in
Einstein-Maxwell-AdS gravity and discuss their thermodynamics. These exotic
solutions, that seem to have been overlooked in the existing literature, may
provide interesting testgrounds to address questions related to black hole
physics or holography.


title:
Complete particle-pair annihilation as a dynamical signature of the
  spectral singularity

abstract:
  Motivated by the physical relevance of a spectral singularity of interacting
many-particle system, we explore the dynamics of two bosons as well as fermions
in one-dimensional system with imaginary delta interaction strength. Based on
the exact solution, it shows that the two-particle collision leads to
amplitude-reduction of the wave function. For fermion pair, the
amplitude-reduction depends on the spin configuration of two particles. In both
cases, the residual amplitude can vanish when the relative group velocity of
two single-particle Gaussian wave packets with equal width reaches the
magnitude of the interaction strength, exhibiting complete particle-pair
annihilation at the spectral singularity.


title:
Solvable model of the collective motion of heterogeneous particles
  interacting on a sphere

abstract:
  I propose a model of mutually interacting particles on an M-dimensional unit
sphere. I derive the dynamics of the particles by extending the dynamics of the
Kuramoto-Sakaguchi model. The dynamics include a natural-frequency matrix,
which determines the motion of a particle with no external force, and an
external force vector. The position (state variable) of a particle at a given
time is obtained by the projection transformation of the initial position of
the particle. The same projection transformation gives the position of the
particles with the same natural-frequency matrix. I show that the motion of the
centre of mass of an infinite number of heterogeneous particles whose
natural-frequency matrices are obtained from a class of multivariate Lorentz
distribution is given by an M-dimensional ordinary differential equation in
closed form. This result is an extension of the Ott-Antonsen theory.


title:
Bending of light caused by gravitation: the same result via totally
  different philosophies

abstract:
  We offer a concise and direct way to derive the bending angle of light (i.e.
as generally called, gravitational lensing), while light grazes a star, through
the approach suggested earlier by the first author, which is fundamentally
based on the energy conservation law and the weak equivalence principle. We
come out with the same result as that of the general theory of relativity
(GTR), although the philosophies behind are totally different from each other.
We emphasize that in our approach, there is no need to draw a distinction
between light and ordinary matter, which makes our approach of gravity
potentially compatible with quantum mechanics. Furthermore, our equation that
furnishes gravitational lensing, also furnishes the result about the precession
of the perihelion of a planet. The results obtained are discussed.


title:
Dynamics of reaction-diffusion patterns controlled by asymmetric
  nonlocal coupling as limiting case of differential advection

abstract:
  A one-component bistable reaction-diffusion system with asymmetric nonlocal
coup ling is derived as limiting case of a two-component activator-inhibitor
reaction -diffusion model with differential advection. The effects of
asymmetric nonlocal couplings in such a bistable reaction-diffusi on system are
then compared to the previously studied case of a system with symm etric
nonlocal coupling. We carry out a linear stability analysis of the spatially
homogeneous steady sta tes of the model and numerical simulations of the model
to show how the asymmetr ic nonlocal coupling controls and alters the steady
states and the front dynamic s in the system. In a second step, a third fast
reaction-diffusion equation is included which ind uces the formation of more
complex patterns. A linear stability analysis predicts traveling waves for
asymmetric nonlocal coupling in contrast to a stationary Turing patterns for a
system with symmetric nonlocal coupling. These findings are verified by direct
numerical integration of the full equations with nonlocal coupling.


title:
Achieving Low-Complexity Maximum-Likelihood Detection for the 3D MIMO
  Code

abstract:
  The 3D MIMO code is a robust and efficient space-time block code (STBC) for
the distributed MIMO broadcasting but suffers from high maximum-likelihood (ML)
decoding complexity. In this paper, we first analyze some properties of the 3D
MIMO code to show that the 3D MIMO code is fast-decodable. It is proved that
the ML decoding performance can be achieved with a complexity of O(M^{4.5})
instead of O(M^8) in quasi static channel with M-ary square QAM modulations.
Consequently, we propose a simplified ML decoder exploiting the unique
properties of 3D MIMO code. Simulation results show that the proposed
simplified ML decoder can achieve much lower processing time latency compared
to the classical sphere decoder with Schnorr-Euchner enumeration.


title:
A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite
  Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm

abstract:
  In this paper, we introduce a new coarse space algorithm, the "Discontinuous
Coarse Space Robin Jump Minimizer" (DCS-RJMin), to be used in conjunction with
one-level domain decomposition methods (DDM). This new algorithm makes use of
Discontinuous Coarse Spaces(DCS), and is designed for DDM that naturally
produce discontinuous iterates such as Optimized Schwarz Methods(OSM). This
algorithm is suitable both at the continuous level and for cell-centered finite
volume discretizations. At the continuous level, we prove, under some
conditions on the parameters of the algorithm, that the difference between two
consecutive iterates goes to $0$. We also provide numerical results
illustrating the convergence behavior of the DCS-RJMin algorithm.


title: On Volterra and orthoganality preserving quadratic stochastic operators

abstract:
  A quadratic stochastic operator (in short QSO) is usually used to present the
time evolution of differing species in biology. Some quadratic stochastic
operators have been studied by Lotka and Volterra. In the present paper, we
first give a simple characterization of Volterra QSO in terms of absolutely
continuity of discrete measures. Moreover, we provide its generalization in
continuous setting. Further, we introduce a notion of orthogonal preserving
QSO, and describe such kind of operators defined on two dimensional simplex. It
turns out that orthogonal preserving QSOs are permutations of Volterra QSO. The
associativity of genetic algebras generated by orthogonal preserving QSO is
studied too.


title:
The affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ and a conditioned
  space-time Brownian motion

abstract:
  We construct a sequence of Markov processes on the set of dominant weights of
the Affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ which involves tensor
product of irreducible highest weight modules of $\hat{\mathfrak{sl}_2}(\C)$
and show that it converges towards a Doob's space-time harmonic transformation
of a space-time Brownian motion.


title:
The Galactic plane at faint X-ray fluxes - II. Stacked X-ray spectra of
  a sample of serendipitous XMM-Newton sources

abstract:
  We have investigated the X-ray spectral properties of a sample of 138 X-ray
sources detected serendipitously in $XMM-Newton$ observations of the Galactic
plane, at an intermediate to faint flux level. We divide our sample into 5
subgroups according to the spectral hardness of the sources, and stack (i.e.
co-add) the individual source spectra within each subgroup. As expected these
stacked spectra show a softening trend from the hardest to the softest
subgroups, which is reflected in the inferred line-of-sight column density. The
spectra of the three hardest subgroups are characterized by a hard continuum
plus superimpose Fe-line emission in the 6--7 keV bandpass. The average
equivalent width (EW) of the 6.7-keV He-like Fe-K$\alpha$ line is
170$^{+35}_{-32}$ eV, whereas the 6.4-keV Fe-K fluorescence line from neutral
iron and the 6.9-keV H-like Fe-Ly$\alpha$ line have EWs of 89$^{+26}_{-25}$ eV
and 81$^{+30}_{-29}$ eV respectively, i.e. roughly half that of the 6.7-keV
line. The remaining subgroups exhibit soft thermal spectra. Virtually all of
the spectrally-soft X-ray sources can be associated with relatively nearby
coronally-active late-type stars, which are evident as bright near-infrared
(NIR) objects within the X-ray error circles. On a similar basis only a
minority of the spectrally-hard X-ray sources have likely NIR identifications.
The average continuum and Fe-line properties of the spectrally-hard sources are
consistent with those of magnetic cataclysmic variables but the direct
identification of large numbers of such systems in Galactic X-ray surveys,
probing intermediate to faint flux levels, remains challenging.


title: Entropic inequalities and properties of some special functions

abstract:
  Using known entropic and information inequalities new inequalities for some
classical polynomials are obtained. Examples of Jacobi and Legendre polynomials
are considered.


title: Study of scintillation in natural and synthetic quartz and methacrylate

abstract:
  Samples from different materials typically used as optical windows or light
guides in scintillation detectors were studied in a very low background
environment, at the Canfranc Underground Laboratory, searching for
scintillation. A positive result can be confirmed for natural quartz: two
distinct scintillation components have been identified, not being excited by an
external gamma source. Although similar effect has not been observed neither
for synthetic quartz nor for methacrylate, a fast light emission excited by
intense gamma flux is evidenced for all the samples in our measurements. These
results could affect the use of these materials in low energy applications of
scintillation detectors requiring low radioactive background conditions, as
they entail a source of background.


title: On topological structures of fuzzy parametrized soft sets

abstract:
  In this paper, we introduce the topological structure of fuzzy parametrized
soft sets and fuzzy parametrized soft mappings. We define the notion of
quasi-coincidence for fuzzy parametrized soft sets and investigated basic
properties of it. We study the closure, interior, base, continuity and
compactness and properties of these concepts in fuzzy parametrized soft
topological spaces


title:
The second-order $L^2$-flow of inextensible elastic curves with hinged
  ends in the plane

abstract:
  In the paper published in Duke Math. J. 1993, Y. Wen studied a second-order
parabolic equation for inextensible elastic \emph{closed} curves in
$\mathbb{R}^{2}$ toward inextensible elasticae. In this article, we extend
Wen's result to the case of open inextensible planar curves with hinged ends.
We obtain the long time existence of smooth solutions when the initial curves
fulfill certain regular conditions.


title:
Law-invariant risk measures: extension properties and qualitative
  robustness

abstract:
  We characterize when a convex risk measure associated to a law-invariant
acceptance set in $L^\infty$ can be extended to $L^p$, $1\leq p<\infty$,
preserving finiteness and continuity. This problem is strongly connected to the
statistical robustness of the corresponding risk measures. Special attention is
paid to concrete examples including risk measures based on expected utility,
max-correlation risk measures, and distortion risk measures.


title: Ipopv2: Photoionization of Ni XIV -- a test case

abstract:
  Several years ago, M. Asplund and coauthors (2004) proposed a revision of the
Solar composition. The use of this new prescription for Solar abundances in
standard stellar models generated a strong disagreement between the predictions
and the observations of Solar observables. Many claimed that the Standard Solar
Model (SSM) was faulty, and more specifically the opacities used in such
models. As a result, activities around the stellar opacities were boosted. New
experiments (J. Bailey at Sandia on Z-Pinch, The OPAC consortium at LULI200) to
measure directly absorbtion coefficients have been realized or are underway.
Several theoretical groups (CEA-OPAS, Los Alamos Nat. Lab., CEA-SCORCG, The
Opacity Project - The Iron Project (IPOPv2)) have started new sets of
calculations using different approaches and codes. While the new results seem
to confirm the good quality of the opacities used in SSM, it remains important
to improve and complement the data currently available. We present recent
results in the case of the photoionization cross sections for Ni XIV (Ni13+ )
from IPOPv2 and possible implications on stellar modelling.


title:
Degradation and destruction of historical blue-green glass beads: A
  study by microspectroscopy of light transmission

abstract:
  Blue-green historical beads are sometimes referred to as instable ones
because of their degradability. At present, the cause of the phenomenon of
deterioration of the blue-green beads is unknown. We explore internal
microstucture of degrading blue-green historical beads and its evolution in the
process of bead deterioration. Investigating transmittance and scattering
spectra of visible and near infrared light we observe formation of microscopic
internal inhomogeneities with the sizes less than 150 nm in the glass bulk and
growth of their density with increase in degree of bead degradation. By means
of laser scanning microscopy we also observe numerous microinclusions and
microcracks on the cleavage surface of a partially degraded bead. We discuss
possible physical factors resulting in destruction of the blue-green beads.


title: Hypoellipticity and Higher Order Levi Conditions

abstract:
  We study the $C^\infty$-hypoellipticity for a class of double characteristic
operators with simplectic characteristic manifold, in the case the classical
condition of minimal loss of derivatives is violated.