title:
Study on the properties of the coupling constants of $J/\psi \rightarrow
  VP$ decays

abstract:
  Basing on the branching fractions of J/\psi \to VP from different
experiments, we investigate on the properties of the coupling constants of
J/\psi \to VP decays with a model-dependent approach. We find that the octet
coupling constant, g_8, of strong interaction is about twice larger than that
of the singlet coupling constant g_1; the electromagnetic breaking parameters
g^i_E are larger than the mass breaking parameters g^i_M, moreover, the three
parameters of electromagnetic effect are about equal, but the three parameters
of mass effect are obviously different and their uncertainties are also large;
and the phase angle between strong and electromagnetic interaction is in the
range of 70^{\circ} \sim 80^{\circ}. It deepens our understanding of the
coupling constant of J/\psi \to VP decays.


title:
Comparison of solar surface flows inferred from time--distance
  helioseismology and coherent structure tracking using HMI/SDO observations

abstract:
  We compare measurements of horizontal flows on the surface of the Sun using
helioseismic time--distance inversions and coherent structure tracking of solar
granules. Tracking provides 2D horizontal flows on the solar surface, whereas
the time--distance inversions estimate the full 3-D velocity flows in the
shallow near-surface layers. Both techniques use HMI observations as an input.
We find good correlations between the various measurements resulting from the
two techniques. Further, we find a good agreement between these measurements
and the time-averaged Doppler line-of-sight velocity, and also perform sanity
checks on the vertical flow that resulted from the 3-D time--distance
inversion.


title: Knowledge and Security

abstract:
  Epistemic concepts, and in some cases epistemic logic, have been used in
security research to formalize security properties of systems. This survey
illustrates some of these uses by focusing on confidentiality in the context of
cryptographic protocols, and in the context of multi-level security systems.


title:
Kinetic theory of jet dynamics in the stochastic barotropic and 2D
  Navier-Stokes equations

abstract:
  We discuss the dynamics of zonal (or unidirectional) jets for barotropic
flows forced by Gaussian stochastic fields with white in time correlation
functions. This problem contains the stochastic dynamics of 2D Navier-Stokes
equation as a special case. We consider the limit of weak forces and
dissipation, when there is a time scale separation between the inertial time
scale (fast) and the spin-up or spin-down time (large) needed to reach an
average energy balance. In this limit, we show that an adiabatic reduction (or
stochastic averaging) of the dynamics can be performed. We then obtain a
kinetic equation that describes the slow evolution of zonal jets over a very
long time scale, where the effect of non-zonal turbulence has been integrated
out. The main theoretical difficulty, achieved in this work, is to analyze the
stationary distribution of a Lyapunov equation that describes quasi-Gaussian
fluctuations around each zonal jet, in the inertial limit. This is necessary to
prove that there is no ultraviolet divergence at leading order in such a way
that the asymptotic expansion is self-consistent. We obtain at leading order a
Fokker--Planck equation, associated to a stochastic kinetic equation, that
describes the slow jet dynamics. Its deterministic part is related to well
known phenomenological theories (for instance Stochastic Structural Stability
Theory) and to quasi-linear approximations, whereas the stochastic part allows
to go beyond the computation of the most probable zonal jet. We argue that the
effect of the stochastic part may be of huge importance when, as for instance
in the proximity of phase transitions, more than one attractor of the dynamics
is present.


title:
Vacuum-assisted generation and control of atomic coherences at x-ray
  energies

abstract:
  The control of light-matter interaction at the quantum level usually requires
coherent laser fields. But already an exchange of virtual photons with the
electromagnetic vacuum field alone can lead to quantum coherences, which
subsequently suppress spontaneous emission. We demonstrate such spontaneously
generated coherences (SGC) in a large ensemble of nuclei operating in the x-ray
regime, resonantly coupled to a common cavity environment. The observed SGC
originates from two fundamentally different mechanisms related to cooperative
emission and magnetically controlled anisotropy of the cavity vacuum. This
approach opens new perspectives for quantum control, quantum state engineering
and simulation of quantum many-body physics in an essentially decoherence-free
setting.


title:
Ellis enveloping semigroup for almost canonical model sets of an
  Euclidean space

abstract:
  We consider certain point patterns of an Euclidean space and calculate the
Ellis enveloping semigroup of their associated dynamical systems. The algebraic
structure and the topology of the Ellis semigroup, as well as its action on the
underlying space, are explicitly described. As an example, we treat the vertex
pattern of the Amman-Beenker tiling of the plane.


title:
A generalization of Kato's local epsilon-conjecture for
  (phi,Gamma)-modules over the Robba ring

abstract:
  The aim of this article is to generalize Kato's (commutative) p-adic local
epsilon-conjecture [Ka93b] for families of (phi,Gamma)-modules over the Robba
ring. In particular, we prove the generalized local epsilon-conjecture for rank
one (phi,Gamma)-modules, which is a generalization of Kato's theorem [Ka93b]
for rank one Galois representations. The key ingredients are the recent results
of Kedlaya-Pottharst-Xiao [KPX12] on the finiteness of cohomology of
(phi,Gamma)-modules and the theory of Bloch-Kato's exponential map for
(phi,Gamma)-modules developed in [Na13].


title:
Astronomical Orientations of Bora Ceremonial Grounds in Southeast
  Australia

abstract:
  Ethnographic evidence indicates that bora (initiation) ceremonial sites in
southeast Australia, which typically comprise a pair of circles connected by a
pathway, are symbolically reflected in the Milky Way as the 'Sky Bora'. This
evidence also indicates that the position of the Sky Bora signifies the time of
the year when initiation ceremonies are held. We use archaeological data to
test the hypothesis that southeast Australian bora grounds have a preferred
orientation to the position of the Milky Way in the night sky in August, when
the plane of the galaxy from Crux to Sagittarius is roughly vertical in the
evening sky to the south-southwest. We accomplish this by measuring the
orientations of 68 bora grounds using a combination of data from the
archaeological literature and site cards in the New South Wales Aboriginal
Heritage Information Management System database. We find that bora grounds have
a preferred orientation to the south and southwest, consistent with the Sky
Bora hypothesis. Monte Carlo statistics show that these preferences were not
the result of chance alignments, but were deliberate.


title:
The importance of major mergers in the build up of stellar mass in
  brightest cluster galaxies at z=1

abstract:
  Recent independent results from numerical simulations and observations have
shown that brightest cluster galaxies (BCGs) have increased their stellar mass
by a factor of almost two between z~0.9 and z~0.2. The numerical simulations
further suggest that more than half this mass is accreted through major
mergers. Using a sample of 18 distant galaxy clusters with over 600
spectroscopically confirmed cluster members between them, we search for
observational evidence that major mergers do play a significant role. We find a
major merger rate of 0.38 +/- 0.14 mergers per Gyr at z~1. While the
uncertainties, which stem from the small size of our sample, are relatively
large, our rate is consistent with the results that are derived from numerical
simulations. If we assume that this rate continues to the present day and that
half of the mass of the companion is accreted onto the BCG during these
mergers, then we find that this rate can explain the growth in the stellar mass
of the BCGs that is observed and predicted by simulations. Major mergers
therefore appear to be playing an important role, perhaps even the dominant
one, in the build up of stellar mass in these extraordinary galaxies.


title:
Ht-Index for Quantifying the Fractal or Scaling Structure of Geographic
  Features

abstract:
  Although geographic features, such as mountains and coastlines, are fractal,
some studies have claimed that the fractal property is not universal. This
claim, which is false, is mainly attributed to the strict definition of fractal
dimension as a measure or index for characterizing the complexity of fractals.
In this paper, we propose an alternative, the ht-index, to quantify the fractal
or scaling structure of geographic features. A geographic feature has ht-index
h if the pattern of far more small things than large ones recurs (h-1) times at
different scales. The higher the ht-index, the more complex the geographic
feature. We conduct three case studies to illustrate how the computed
ht-indices capture the complexity of different geographic features. We further
discuss how the ht-index is complementary to fractal dimension, and elaborate
on a dynamic view behind the ht-index that enables better understanding of
geographic forms and processes.
  Keywords: Scaling of geographic space, fractal dimension, Richardson plot,
nested rank-size plots, and head/tail breaks

categories: nlin.AO nlin.CD physics.data-an physics.geo-ph


title: Classically Scale-invariant B-L Model and Conformal Gravity

abstract:
  We consider a coupling of conformal gravity to the classically
scale-invariant B-L extended standard model which has been recently proposed as
a phenomenologically viable model realizing the Coleman-Weinberg mechanism of
breakdown of the electro-weak symmetry. As in a globally scale-invariant
dilaton gravity, it is also shown in a locally scale-invariant conformal
gravity that without recourse to the Coleman-Weinberg mechanism, the B-L gauge
symmetry is broken in the process of spontaneous symmetry breakdown of the
local scale invariance (Weyl invariance) at the tree level and as a result the
B-L gauge field becomes massive via the Higgs mechanism. As a bonus of
conformal gravity, the massless dilaton field does not appear and the
parameters in front of the non-minimal coupling of gravity are completely fixed
in the present model. This observation clearly shows that the conformal gravity
has a practical application even if the scalar field does not possess any
dynamical degree of freedom owing to the local scale symmetry.


title: A cloned qutrit and its utility in information processing tasks

abstract:
  We, in this paper, analyze the efficacy of an output as a resource from a
universal quantum cloning machine in information processing tasks such as
teleportation and dense coding. For this, we have considered the $3\otimes 3$
dimensional system (or qutrit system). The output states are found to be NPT
states for certain ranges of machine parameters. Using the output state as an
entangled resource, we have also studied the optimal fidelities of
teleportation and capacities of dense coding protocols with respect to the
machine parameters and have made a few interesting observations. Our work is
mainly motivated from the fact that the cloning output can be used as a
resource in quantum information processing and adds a valuable dimension to the
applications of cloning machines.


title:
Wide Integral-Field Infrared Spectroscopy of the Bright [Fe II] Shell in
  the Young Supernova Remnant G11.2-0.3

abstract:
  We present the results of wide integral-field near-infrared (1.0-1.8 um)
spectroscopic observations of the southeastern shell of the young core-collapse
supernova remnant (SNR) G11.2-0.3. We first construct [Fe II] 1.644 um line
images of three bright clumps from the obtained spectral image cubes and
compare them with those of other transitions such as [Fe II] 1.257, [Fe II]
1.534 and He I 1.083 um line images. This allows us to estimate the electron
density (~ 4,700-9,400 cm^-3) and extinction (Av ~ 16-20 mag) of the shell,
including detailed two-dimensional distribution of the properties in the
brightest clump, as well as the discovery of a faint high-velocity (~ -440
km/s) component in the clump. Our SNR shock model calculations estimate the
preshock number density of ~ 250-500 cm^-3 and shock speed of ~ 80-250 km/s in
the [Fe II]-emitting region of the SNR. The comparison between the observed and
modelled radial profiles of the line intensities and their ratios reveals that
the shell is composed of multiple thin filaments which have been likely formed
in episodic mass loss processes of a progenitor star. The discovery of the
faint high-velocity component supports the interpretation that the southeastern
shell of G11.2-0.3 is mainly composed of circumstellar material with
contamination by supernova ejecta and also that its ejected material was
expelled primarily in the southeast-northwest direction.


title:
Reflected Backward Stochastic Difference Equations and Optimal Stopping
  Problems under g-expectation

abstract:
  In this paper, we study reflected backward stochastic difference equations
(RBSDEs for short) with finitely many states in discrete time. The general
existence and uniqueness result, as well as comparison theorems for the
solutions, are established under mild assumptions. The connections between
RBSDEs and optimal stopping problems are also given. Then we apply the obtained
results to explore optimal stopping problems under $g$-expectation. Finally, we
study the pricing of American contingent claims in our context.


title: Pion transition form factor in the constituent quark model

abstract:
  We calculate the transition form factor of the neutral pion where one photon
is virtual and another photon is real in the model where the light constituent
quark mass and the quark-pion vertex are taken to be momentum independent.
Radiative corrections to the lowest order triangle quark Feynman amplitude are
calculated. The resummation of the lowest radiative corrections to the virtual
photon vertex is done by applying the Sudakov exponential hypothesis. Using
fitting parameters, the quark mass and the strong coupling constant, the
results on the pion transition form factor are compared with existing data
published by CELLO, CLEO, BaBar and Belle collaborations.


title:
Model-based dose finding under model uncertainty using general
  parametric models

abstract:
  Statistical methodology for the design and analysis of clinical Phase II dose
response studies, with related software implementation, are well developed for
the case of a normally distributed, homoscedastic response considered for a
single timepoint in parallel group study designs. In practice, however, binary,
count, or time-to-event endpoints are often used, typically measured repeatedly
over time and sometimes in more complex settings like crossover study designs.
In this paper we develop an overarching methodology to perform efficient
multiple comparisons and modeling for dose finding, under uncertainty about the
dose-response shape, using general parametric models. The framework described
here is quite general and covers dose finding using generalized non-linear
models, linear and non-linear mixed effects models, Cox proportional hazards
(PH) models, etc. In addition to the core framework, we also develop a general
purpose methodology to fit dose response data in a computationally and
statistically efficient way. Several examples, using a variety of different
statistical models, illustrate the breadth of applicability of the results. For
the analyses we developed the R add-on package DoseFinding, which provides a
convenient interface to the general approach adopted here.


title:
Folded potentials in cluster physics - a comparison of Yukawa and
  Coulomb potentials with Riesz fractional integrals

abstract:
  In cluster physics a single particle potential to determine the microscopic
part of the total energy of a collective configuration is necessary to
calculate the shell- and pairing effects. In this paper we investigate the
properties of the Riesz fractional integrals and compare their properties with
the standard Coulomb and Yukawa potentials commonly used. It is demonstrated,
that Riesz potentials may serve as a promising extension of standard potentials
and may be reckoned as a smooth transition from Coulomb to Yukawa like
potentials, depending of the fractional parameter $\alpha$. For the macroscopic
part of the total energy the Riesz potentials treat the Coulomb-, symmetry- and
pairing-contributions from a generalized point of view, since they turn out to
be similar realizations of the same fractional integral at distinct $\alpha$
values.


title: Omni-Lie Color Algebras and Lie Color 2-Algebras

abstract:
  The notions of Lie color 2-algebras and 2-term color L-infty-algebras over a
group-graded vector space are introduced and studied. It is proved that the
category of Lie color 2-algebras and the category of 2-term color L1-algebras
are equivalent. We construct Lie color 2-algebras from omni-Lie color algebras
and Leibniz color algebras. Some example of $Z^2_2$ -graded Lie color
2-algebras are given.


title: On consecutive perfect powers with elementary methods

abstract:
  Catalan's conjecture claims that the Diophantine equation $x^p-y^q=1$ admits
the unique solution $3^2-2^3=1$ in integers $x,y,p,q \ge 2$. The conjecture has
been finally proved by P. Mih\u{a}ilescu (2002) using the theory of cyclotomic
fields and Galois modules.
  Here, relying only on elementary techniques, we prove several instances of
this classical result. In particular, we prove the conjecture in the following
cases: $p$ even (due to V.A. Lebesgue), $q$ is even (due to L. Euler and Chao
Ko), $x$ divides $q$, $y$ divides $x-1$, $y$ is a power of a prime, and $y\le
p^{p/2}$.


title: A characterization of Sophie Germain primes

abstract:
  Let $n\ge 5$ be an odd integer. It is shown that
$\{1^{\sigma(1)},\ldots,n^{\sigma(n)}\}$ is a complete residue system modulo
$n$ for some permutation $\sigma$ of $\{1,\ldots,n\}$ if and only if
$\frac{1}{2}(n-1)$ is a Sophie Germain prime. Partial results are obtained also
for the case $n$ even.


title:
Magnetic field induced band insulator to Mott insulator transformations
  in 4-component alkali fermions at half-filling

abstract:
  Under the influence of an external magnetic field and spin-changing
collisions, the band insulator (BI) state of one-dimensional (1D) s-wave
repulsively interacting 4-component fermions at half-filling transforms into
Mott insulator (MI) states with spontaneously broken translational symmetry: a
dimerized state for shallow lattices and a N{\'e}el state for deep lattices via
an intermediate topological state. Since a BI has vanishing entropy per
particle, these MI phases could be particularly inviting for experimental
realization under the similar conditions as those for $^{40}$K atoms [1],
provided the magnetic field is changed adiabatically.


title:
An extended segment pattern dictionary for pattern matching tracking
  algorithm at BESIII

abstract:
  A pattern matching based tracking algorithm, named MdcPatRec, is used for the
reconstruction of charged tracks in the drift chamber of the BESIII detector.
This paper addresses the shortage of segment finding in MdcPatRec algorithm. An
extended segment construction scheme and the corresponding pattern dictionary
are presented. Evaluation with Monte-Carlo and experimental data show that the
new method can achieve higher efficiency for low transverse momentum tracks.


title:
Characterizing and Evaluation :Temporal properties of real and synthetic
  datasets for DTN

abstract:
  Nodes movements play a significant role in disseminating messages in the
sparse mobile ad-hoc network. In the network scenarios, where traditional
end-to-end paths do not exist, mobility creates opportunities for nodes to
connect and communicate when they are encountered. A series of encountering
opportunities spread a message among many nodes and eventually deliver to the
destination. Further improvements to the performance of message delivery can
come from exploiting temporal mobility properties. It is modeled as time
varying graph, where, moving nodes are considered as vertices and contact
opportunity to other nodes as an edge. The paper discusses about
characterization and design of the temporal algorithm. Then, evaluating
temporal distance, diameter and centrality of real and synthetic mobility data
sets.


title: Intracellular micro-rheology probed by micron-sized wires

abstract:
  In the last decade, rapid advances have been made in the field of
micro-rheology of cells and tissues. Given the complexity of living systems,
there is a need for the development of new types of nano- and micron-sized
probes, and in particular of probes with controlled interactions with the
surrounding medium. In the present paper, we evaluate the use of micron-sized
wires as potential probes of the mechanical properties of cells. The wire-based
micro-rheology technique is applied to living cells such as murine fibroblasts
and canine kidney epithelial cells. The mean-squared angular displacement
(MSAD) of wires associated to their rotational dynamics is obtained as a
function of the time using optical microscopy and image processing. It reveals
a Brownian-like diffusive regime where the MSA scale linearly with time and as
the inverse of the cube of the wire length. This scaling suggests that an
effective viscosity of the intracellular medium can be determined, and that in
the range 1 - 10 micrometers it does not depend on the length scale over which
it is measured.


title:
Interfacial activity of phosphonated-polyethylene glycol functionalized
  cerium oxide nanoparticles

abstract:
  In a recent publication, we have highlighted the potential of phosphonic acid
terminated PEG oligomers to functionalize strong UV absorption cerium oxide
nanoparticles[1], which yield suspensions that are stable in aqueous or organic
solvents and are redispersible in different solvent after freeze-drying. In the
present work, we highlight the interfacial activity of the functional ceria
nanoparticles and their potential to modify hydrophobic surfaces. We first
investigated Phosphonated-PEG amphiphilic oligomers behavior as strong surface
active species forming irreversibly adsorbed layers. We then show that the
oligomers interfacial properties translate to the functional nanoparticles. In
particular, the addition of a small fraction of phosphonated-PEG oligomers with
an extra C16 aliphatic chain (stickers) into the formulation enabled the tuning
of i) the nanoparticles adsorption at the air/water, polystyrene/water,
oil/water interfaces and ii) the particle/particle interaction in aqueous
solutions. We also found that dense and closely packed two dimensional
monolayers of nanoceria can be formed by spontaneous adsorption or surface
compression using a Langmuir trough. A hexagonal organization controlled by
reversible and repulsive repulsion has been characterized by GISAXS. Mono- or
multilayers can also be stably formed or transferred on solid surfaces. Our
results are key features in the field of polymer surface modification, solid
stabilized emulsions (Pickering) or supracolloidal assemblies.


title: Measurement of Cosmic Ray Flux in China JinPing underground Laboratory

abstract:
  China JinPing underground Laboratory (CJPL) is the deepest underground
laboratory presently running in the world. In such a deep underground
laboratory, the cosmic ray flux is a very important and necessary parameter for
rare event experiments. A plastic scintillator telescope system has been set up
to measure the cosmic ray flux. The performance of the telescope system has
been studied using the cosmic ray on the ground laboratory near CJPL. Based on
the underground experimental data taken from November 2010 to December 2011 in
CJPL, which has effective live time of 171 days, the cosmic ray muon flux in
CJPL is measured to be (2.0+-0.4)*10^(-10)/(cm^2)/(s). The ultra-low cosmic ray
background guarantees CJPL's ideal environment for dark matter experiment.


title: Mathematical practice, crowdsourcing, and social machines

abstract:
  The highest level of mathematics has traditionally been seen as a solitary
endeavour, to produce a proof for review and acceptance by research peers.
Mathematics is now at a remarkable inflexion point, with new technology
radically extending the power and limits of individuals. Crowdsourcing pulls
together diverse experts to solve problems; symbolic computation tackles huge
routine calculations; and computers check proofs too long and complicated for
humans to comprehend.
  Mathematical practice is an emerging interdisciplinary field which draws on
philosophy and social science to understand how mathematics is produced. Online
mathematical activity provides a novel and rich source of data for empirical
investigation of mathematical practice - for example the community question
answering system {\it mathoverflow} contains around 40,000 mathematical
conversations, and {\it polymath} collaborations provide transcripts of the
process of discovering proofs. Our preliminary investigations have demonstrated
the importance of "soft" aspects such as analogy and creativity, alongside
deduction and proof, in the production of mathematics, and have given us new
ways to think about the roles of people and machines in creating new
mathematical knowledge. We discuss further investigation of these resources and
what it might reveal.
  Crowdsourced mathematical activity is an example of a "social machine", a new
paradigm, identified by Berners-Lee, for viewing a combination of people and
computers as a single problem-solving entity, and the subject of major
international research endeavours. We outline a future research agenda for
mathematics social machines, a combination of people, computers, and
mathematical archives to create and apply mathematics, with the potential to
change the way people do mathematics, and to transform the reach, pace, and
impact of mathematics research.


title: On light-like extremal surfaces in curved spacetimes

abstract:
  In this paper, we are concerned with light-like extremal surfaces in curved
spacetimes. It is interesting to find that under a diffeomorphic transformation
of variables, the light-like extremal surfaces can be described by a system of
nonlinear geodesic equations. Particularly, we investigate the light-like
extremal surfaces in Schwarzschild spacetime in detail and some new special
solutions are derived systematically with aim to comparing with the known
results and illustrating the method.


title:
Recurrent Coronal Jets Induced by Repetitively Accumulated Electric
  Currents

abstract:
  Three extreme-ultraviolet (EUV) jets recurred in about one hour on 2010
September 17 in the following magnetic polarity of active region 11106. The EUV
jets were observed by the Atmospheric Imaging Assembly (AIA) on board the Solar
Dynamics Observatory (SDO). The Helioseismic and Magnetic Imager (HMI) on board
SDO measured the vector magnetic field, from which we derive the magnetic flux
evolution, the photospheric velocity field, and the vertical electric current
evolution. The magnetic configuration before the jets is derived by the
nonlinear force-free field (NLFFF) extrapolation.
  We derive that the jets are above a pair of parasitic magnetic bipoles which
are continuously driven by photospheric diverging flows. The interaction drove
the build up of electric currents that we indeed observed as elongated patterns
at the photospheric level. For the first time, the high temporal cadence of HMI
allows to follow the evolution of such small currents. In the jet region, we
found that the integrated absolute current peaks repetitively in phase with the
171 A flux evolution. The current build up and its decay are both fast, about
10 minutes each, and the current maximum precedes the 171 A by also about 10
minutes. Then, HMI temporal cadence is marginally fast enough to detect such
changes.
  The photospheric current pattern of the jets is found associated to the
quasi-separatrix layers deduced from the magnetic extrapolation. From previous
theoretical results, the observed diverging flows are expected to build
continuously such currents. We conclude that magnetic reconnection occurs
periodically, in the current layer created between the emerging bipoles and the
large scale active region field. It induced the observed recurrent coronal jets
and the decrease of the vertical electric current magnitude.


title:
Conditioning the gamma spectrometer for activity measurement at very
  high background

abstract:
  The application of a high purity germanium (HPGe) gamma spectrometer in
determining the fuel element burnup in a future reactor is studied. The HPGe
detector is exposed by a Co60 source with varying irradiation rate from 10 kcps
to 150 kcps to simulate the input counting rate in real reactor environment. A
Cs137 and a Eu152 source are positioned at given distances to generate certain
event rate in the detector with the former being proposed as a labeling nuclide
to measure the burnup of fuel element. It is shown that both the energy
resolution slightly increasing with the irradiation rate and the passthrough
rate at high irradiation level match the requirement of the real application.
The influence of the background is studied in different parameter sets used in
the particularly developed procedure of the background subtraction. It is
demonstrated that with the typical input irradiation rate and Cs137 intensity
relevant to deep burnup situation, the precision of the Cs137 counting rate in
the current experiment is consistently below 2.8%, indicating a promising
feasibility of utilizing an HPGe detector in the burnup measurement in future
bed-like reactor.


title: What does mathoverflow tell us about the production of mathematics?

abstract:
  The highest level of mathematics research is traditionally seen as a solitary
activity. Yet new innovations by mathematicians themselves are starting to
harness the power of social computation to create new modes of mathematical
production. We study the effectiveness of one such system, and make proposals
for enhancement, drawing on AI and computer based mathematics. We analyse the
content of a sample of questions and responses in the community question
answering system for research mathematicians, math-overflow. We find that
mathoverflow is very effective, with 90% of our sample of questions answered
completely or in part. A typical response is an informal dialogue, allowing
error and speculation, rather than rigorous mathematical argument: 37% of our
sample discussions acknowledged error. Responses typically present information
known to the respondent, and readily checked by other users: thus the
effectiveness of mathoverflow comes from information sharing. We conclude that
extending and the power and reach of mathoverflow through a combination of
people and machines raises new challenges for artificial intelligence and
computational mathematics, in particular how to handle error, analogy and
informal reasoning.


title:
Weak vorticity formulation for the incompressible Euler equations in
  domains with boundary

abstract:
  In this article we examine the interaction of incompressible 2D flows with
compact material boundaries. Our focus is the dynamic behavior of the
circulation of velocity around boundary components and the possible exchange
between flow vorticity and boundary circulation in flows with vortex sheet
initial data We begin by showing that the velocity can be uniquely
reconstructed from the vorticity and boundary component circulations, which
allows to recast 2D Euler evolution using vorticity and the circulations as
dynamic variables. The weak form of this vortex dynamics formulation of the
equations is called the weak vorticity formulation. The main result in this
article is the equivalence between the weak velocity and weak vorticity
formulations, without sign assumptions. Next, we focus on weak solutions
obtained by mollifying initial data and passing to the limit, with the portion
of vorticity singular with respect to the Lebesgue measure assumed to be
nonnegative. For these solutions we prove that the circulations around each
boundary component cannot be smaller than the initial data circulation, so that
nonnegative vorticity may be absorbed by the boundary, but not produced by the
boundary. In addition, we prove that if the weak solution conserves circulation
at the boundary components it is a boundary coupled weak solution, a stronger
version of the weak vorticity formulation. We prove existence of a weak
solution which conserves circulation at the boundary components if the initial
vorticity is integrable. In addition, we discuss the definition of the
mechanical force which the flow exerts on material boundary components and its
relation with conservation of circulation. Finally, we describe the
corresponding results for a bounded domain with holes, and the adaptations
required in the proofs.


title:
A new model for the recombination and radiative lifetime of trions and
  biexcitons in spherically shaped semiconductor nanocrystals

abstract:
  In this letter, we propose a new model to determine the recombination
oscillator strength of trions and biexcitons for bound and unbound cases in the
effective mass approximation. The validity of our model has been confirmed by
the radiative lifetime of the trion and biexciton in a spherical quantum dot.
The results show that the model works sufficient accuracy in comparison with
results of more complex methods such as quantum monte carlo techniques and
atomistic calculations.


title: Maximum-Bandwidth Node-Disjoint Paths

abstract:
  This paper presents a new method for finding the node-disjoint paths with
maximum combined bandwidth in communication networks. This problem is an
NP-complete problem which can be optimally solved in exponential time using
integer linear programming (ILP). The presented method uses a maximum-cost
variant of Dijkstra algorithm and a virtual-node representation to obtain the
maximum-bandwidth node-disjoint path. Through several simulations, we compare
the performance of our method to a modern heuristic technique and to the ILP
solution. We show that, in a polynomial execution time, our proposed method
produces results that are almost identical to ILP in a significantly lower
execution time.


title:
The electronic properties of a core/shell/well/shell spherical quantum
  dot with and without a hydrogenic impurity

abstract:
  In this study, we have performed a detailed investigation of the electronic
properties of a core/shell/well/shell multi-layered spherical quantum dot, such
as energy eigenvalues, wave functions, electron probability distribution and
binding energies. The energy eigenvalues and their wave functions of the
considered structure have been calculated for cases with and without an
on-center impurity. For this purpose, the Schr\"{o}dinger equation has been
numerically solved by using the shooting method in the effective mass
approximation for a finite confining potential. The electronic properties have
been examined for different core radii, barrier thickness and well widths in a
certain potential. The results have been analyzed in detail as a function of
the layer thickness and their physical reasons have been interpreted. It has
found that the electronic properties are strongly depending on the layer
thickness.


title: An Asymptotically Efficient Backlog Estimate for Dynamic Frame Aloha

abstract:
  In this paper we investigate backlog estimation procedures for Dynamic Frame
Aloha (DFA) in Radio Frequency Identification (RFID) environment. In
particular, we address the tag identification efficiency with any tag number
$N$, including $N\rightarrow\infty$. Although in the latter case efficiency
$e^{-1}$ is possible, none of the solution proposed in the literature has been
shown to reach such value. We analyze Schoute's backlog estimate, which is very
attractive for its simplicity, and formally show that its asymptotic efficiency
is 0.311. Leveraging the analysis, we propose the Asymptotic Efficient backlog
Estimate (AE$^2$) an improvement of the Schoute's backlog estimate, whose
efficiency reaches $e^{-1}$ asymptotically. We further show that AE$^2$ can be
optimized in order to present an efficiency very close to $e^{-1}$ for
practically any value of the population size. We also evaluate the loss of
efficiency when the frame size is constrained to be a power of two, as required
by RFID standards for DFA, and theoretically show that the asymptotic
efficiency becomes 0.356.


title:
The photoionization cross section of a hydrogenic impurity in a
  multi-layered spherical quantum dot

abstract:
  In this study, we have investigated the photoionization cross section of an
on-center hydrogenic impurity in a multi-layered spherical quantum dot. The
electronic energy levels and their wave functions have been determined fully
numerically by shooting method. Also, we have calculated the binding energy of
the impurity by using these energy values. The photoionization cross section
has also been computed as a function of the layer thickness and normalized
photon energies. We have discussed in detail the possible physical reasons
behind the changes in the binding energies and photoionization cross section.
It is observed that both the binding energies and the photoionization cross
sections depend strongly on the layer thickness and photon energies.


title: A Comment on Budach's Mouse-in-an-Octant Problem

abstract:
  Budach's Mouse-in-an-Octant Problem (attributed to Lothar Budach in a 1980
article by van Emde Boas and Karpinski) concerns the behaviour of a very simple
finite-state machine ("the mouse") moving on the integer two-dimensional grid.
Its decidability is apparently still open. This note sketches a proof that an
extended version of the problem (a super-mouse) is undecidable.


title:
Direct detection and solar capture of dark matter with momentum and
  velocity dependent elastic scattering

abstract:
  We explore the momentum and velocity dependent elastic scattering between the
dark matter (DM) particles and the nuclei in detectors and the Sun. In terms of
the non-relativistic effective theory, we phenomenologically discuss ten kinds
of momentum and velocity dependent DM-nucleus interactions and recalculate the
corresponding upper limits on the spin-independent DM-nucleon scattering cross
section from the current direct detection experiments. The DM solar capture
rate is calculated for each interaction. Our numerical results show that the
momentum and velocity dependent cases can give larger solar capture rate than
the usual contact interaction case for almost the whole parameter space. On the
other hand, we deduce the Super-Kamiokande's constraints on the solar capture
rate for eight typical DM annihilation channels. In contrast to the usual
contact interaction, the Super-Kamiokande and IceCube experiments can give more
stringent limits on the DM-nucleon elastic scattering cross section than the
current direct detection experiments for several momentum and velocity
dependent DM-nucleus interactions. In addition, we investigate the mediator
mass's effect on the DM elastic scattering cross section and solar capture
rate.


title:
The inter-sublevel optical properties of a spherical quantum dot-quantum
  well with and without a donor impurity

abstract:
  In this study, we have investigated the inter-sublevel optical properties of
a core/shell/well/shell spherical quantum dot with the form of quantum
dot-quantum well heterostructure. In order to determine the energy eigenvalues
and corresponding wave functions, the Schr\"{o}dinger equation has been solved
full numerically by using shooting method in the effective mass approximation
for a finite confining potential. The inter-sublevel optical absorption and the
oscillator strength between ground ($1s$) and excited ($1p$) states have been
examined based on the computed energies and wave functions. Also, the effect of
a hydrogenic donor impurity, located at the center of the multi-shell spherical
quantum dot (MSQD), has been researched for different core radii ($R_1$), shell
thicknesses ($T_s$) and well widths ($T_w$) in certain potential. It is
observed that the oscillator strengths and the absorption coefficients are
strongly depend on the core radii and layer thicknesses of the MSQD.


title: Minimax Impulse Control Problems in Finite Horizon

abstract:
  We consider the problem of impulse control minimax in finite horizon, when
cost functions $(C(t,x,\xi)>0)$. We show existence of value function of the
problem. Moreover, the value function is characterized as the unique viscosity
solution of an Isaacs quasi-variational inequality. This problem is in relation
with an application in mathematical finance.


title: Delocalized periodic vibrations in nonlinear electrical chains

abstract:
  We consider an electrical chain of N nonlinear capacitors coupled by linear
inductors assuming that voltage dependence of capacitors represents an even
function. We prove that only 5 symmetry determined nonlinear normal modes (NNM)
can exist in the considered system. The stability of all these dynamical
regimes for different N is studied with the aid of the group-theoretical method
[Physical Review E 73 (2006) 36216] which allows to simplify radically the
variational systems appearing in the Floquet stability analysis. The scailing
of the voltage stability threshold in the thermodynamic limit (N tends to
infinity) is determined for each NNM.


title:
Isoform reconstruction using short RNA-Seq reads by maximum likelihood
  is NP-hard

abstract:
  Maximum likelihood is a popular technique for isoform reconstruction. Here,
we show that isoform reconstruction using short RNA-Seq reads by maximum
likelihood is NP-hard.


title:
Uniqueness in inverse acoustic and electromagnetic scattering by
  penetrable obstacles with embedded objects

abstract:
  This paper considers the inverse problem of scattering of time-harmonic
acoustic and electromagnetic plane waves by a bounded, inhomogeneous,
penetrable obstacle with embedded objects inside. A new method is proposed to
prove that the inhomogeneous penetrable obstacle can be uniquely determined
from the far-field pattern at a fixed frequency, disregarding its contents. Our
method is based on constructing a well-posed interior transmission problem in a
small domain associated with the Helmholtz or modified Helmholtz equation and
the Maxwell or modified Maxwell equations. A key role is played by the
smallness of the domain which ensures that the lowest transmission eigenvalue
is large so that a given wave number k is not an eigenvalue of the interior
transmission problem. Another ingredient in our proofs is a priori estimates of
solutions to the transmission scattering problems with data in Lp (1<p<2),
which are established in this paper by using the integral equation method. A
main feature of the new method is that it can deal with the acoustic and
electromagnetic cases in a unified way and can be easily applied to deal with
inverse scattering by unbounded rough interfaces.


title: Primer and Recent Developments on Fountain Codes

abstract:
  In this paper we survey the various erasure codes which had been proposed and
patented recently, and along the survey we provide introductory tutorial on
many of the essential concepts and readings in erasure and Fountain codes.
Packet erasure is a fundamental characteristic inherent in data storage and
data transmission system. Traditionally replication/ retransmission based
techniques had been employed to deal with packet erasures in such systems.
While the Reed-Solomon (RS) erasure codes had been known for quite some time to
improve system reliability and reduce data redundancy, the high decoding
computation cost of RS codes has offset wider implementation of RS codes.
However recent exponential growth in data traffic and demand for larger data
storage capacity has simmered interest in erasure codes. Recent results have
shown promising results to address the decoding computation complexity and
redundancy tradeoff inherent in erasure codes.


title:
Inverse electromagnetic scattering problems by a doubly periodic
  structure

abstract:
  Consider the problem of scattering of electromagnetic waves by a doubly
periodic structure. The medium above the structure is assumed to be
inhomogeneous characterized completely by an index of refraction. Below the
structure is a perfect conductor or an imperfect conductor partially coated
with a dielectric. Having established the well-posedness of the direct problem
by the variational approach, we prove the uniqueness of the inverse problem,
that is, the unique determination of the doubly periodic grating with its
physical property and the index of refraction from a knowledge of the scattered
near field by a countably infinite number of incident quasi-periodic
electromagnetic waves. A key ingredient in our proofs is a novel mixed
reciprocity relation derived in this paper.


title: Higgs couplings as a probe of New Physics

abstract:
  We consider the Higgs boson decay processes and its production and provide a
parameterisation tailored for testing models of new physics. The choice of a
particular parameterisation depends on a non-obvious balance of quantity and
quality of the available experimental data, envisaged purpose for the
parameterisation and degree of model independence. At present only simple
parameterisations with a limited number of fit parameters can be performed, but
this situation will improve with the forthcoming experimental LHC data. It is
therefore important that different approaches are considered and that the most
detailed information is made available to allow testing the different aspects
of the Higgs boson physics and the possible hints beyond the Standard Model.


title:
Characterization of the electric field concentration between two
  adjacent spherical perfect conductors

abstract:
  When two perfectly conducting inclusions are located closely to each other,
the electric field concentrates in a narrow region in between two inclusions,
and becomes arbitrarily large as the distance between two inclusions tends to
zero. The purpose of this paper is to derive an asymptotic formula of the
concentration which completely characterizes the singular behavior of the
electric field, when inclusions are balls of the same radii in three
dimensions.


title:
On Comparison between Evolutionary Programming Network-based Learning
  and Novel Evolution Strategy Algorithm-based Learning

abstract:
  This paper presents two different evolutionary systems - Evolutionary
Programming Network (EPNet) and Novel Evolutions Strategy (NES) Algorithm.
EPNet does both training and architecture evolution simultaneously, whereas NES
does a fixed network and only trains the network. Five mutation operators
proposed in EPNet to reflect the emphasis on evolving ANNs behaviors. Close
behavioral links between parents and their offspring are maintained by various
mutations, such as partial training and node splitting. On the other hand, NES
uses two new genetic operators - subpopulation-based max-mean arithmetical
crossover and time-variant mutation. The above-mentioned two algorithms have
been tested on a number of benchmark problems, such as the medical diagnosis
problems (breast cancer, diabetes, and heart disease). The results and the
comparison between them are also presented in this paper.


title: Random walk in a high density dynamic random environment

abstract:
  The goal of this note is to prove a law of large numbers for the empirical
speed of a green particle that performs a random walk on top of a field of red
particles which themselves perform independent simple random walks on $\Z^d$,
$d \geq 1$. The red particles jump at rate 1 and are in a Poisson equilibrium
with density $\mu$. The green particle also jumps at rate 1, but uses different
transition kernels $p'$ and $p''$ depending on whether it sees a red particle
or not. It is shown that, in the limit as $\mu\to\infty$, the speed of the
green particle tends to the average jump under $p'$. This result is far from
surprising, but it is non-trivial to prove. The proof that is given in this
note is based on techniques that were developed in \cite{KeSi} to deal with
spread-of-infection models. The main difficulty is that, due to particle
conservation, space-time correlations in the field of red particles decay
slowly. This places the problem in a class of random walks in dynamic random
environments for which scaling laws are hard to obtain.


title: Free infinite divisibility for beta distributions and related ones

abstract:
  We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and
ultraspherical distributions are freely infinitely divisible, but some of them
are not. The latter negative result follows from a local property of
probability density functions. Moreover, we show that the Gaussian,
ultraspherical and many of Student t-distributions have free divisibility
indicator 1.


title:
Predicate Exchangeability and Language Invariance in Pure Inductive
  Logic

abstract:
  In Pure Inductive Logic, the rational principle of Predicate Exchangeability
states that permuting the predicates in a given language L and replacing each
occurrence of a predicate in an L-sentence $\phi$ according to this permutation
should not change our belief in the truth of $\phi$. In this paper we study
when a probability function w on a purely unary language L satisfying Predicate
Exchangeability also satisfies the principle of Unary Language Invariance.


title: Geometric Invariant Theory and Roth's Theorem

abstract:
  We present a proof of Thue-Siegel-Roth's Theorem (and its more recent
variants, such as those of Lang for number fields and that "with moving
targets" of Vojta) as an application of Geometric Invariant Theory (GIT).
Roth's Theorem is deduced from a general formula comparing the height of a
semi-stable point and the height of its projection on the GIT quotient. In this
setting, the role of the zero estimates appearing in the classical proof is
played by the geometric semi-stability of the point to which we apply the
formula.


title: Three-body calculations of triple-alpha reaction

abstract:
  Recently, the triple-\alpha (3\alpha) process, by which three 4He nuclei are
fused into a 12C nucleus in stars, was studied by different methods in solving
the quantum mechanical three-body problem. Their results of the thermonuclear
reaction rate for the process differ by several orders at low stellar
temperatures of 10^7 - 10^8 K. In this paper, we will present calculations of
the 3\alpha process by a modified Faddeev three-body formalism in which the
long-range effects of Coulomb interactions are accommodated. The reaction rate
of the process is calculated via an inverse process, three-alpha (3-\alpha)
photodisintegration of a 12C nucleus. Calculated reaction rate is about 10
times larger than that of the Nuclear Astrophysics Compilation of Reaction
Rates (NACRE) at 10^7 K, and is remarkably smaller than the results of the
recent three-body calculations. We will discuss a possible reason of the
difference.


title:
Neutralino dark matter confronted by the LHC constraints on Electroweak
  SUSY signals

abstract:
  The supersymmetric particles (sparticles) belonging exclusively to the
electroweak sector of the minimal supersymmetric standard model (MSSM) may hold
the key to the observed dark matter relic density in the universe even if all
strongly interacting sparticles are very heavy. The importance of the light EW
sparticles in DM physics and in producing spectacular collider signals is
emphasized. It is shown that even the preliminary data on the direct searches
of these sparticles at the LHC, significantly constrain the parameter space of
the MSSM compatible with the observed relic density and provide useful hints
about the future search prospects. If in addition to the electroweak sparticles
the gluinos are also within the reach of the LHC experiments, then the gluino
mass limits in the light slepton scenario obtained via the canonical jets +
$\met$ channel may be relaxed by as much as 25 $%$ compared to the existing
limits. But the corresponding same sign dilepton (SSD) + jets + $\met$ signal
will yield enhanced limits competitive with the strongest limits currently
available. This is illustrated with the help of benchmark scenarios at the
generator level using PYTHIA. If the gluinos are just beyond the current reach
of the LHC, then the generic n-lepton + m-jets + missing energy signal may
discriminate between different DM producing mechanisms by comparing the signals
corresponding to different values of n. This is illustrated by simulating the
signals for n = 0 and n = 2 (the SSD signal).


title: Enzyme Kinetics: A critique of the quasi-steady-state approximation

abstract:
  The standard two-step model of homogeneous-catalyzed reactions had been
theoretically analyzed at various levels of approximations from time to time.
The primary aim was to check the validity of the quasi-steady-state
approximation, and hence emergence of the Michaelis-Menten kinetics, with
various substrate-enzyme ratios. But, conclusions vary. We solve here the
desired set of coupled nonlinear differential equations by invoking a new set
of dimensionless variables. Approximate solutions are obtained via the
power-series method aided by Pade approximants. The scheme works very
successfully in furnishing the initial dynamics at least up to the region where
existence of any steady state can be checked. A few conditions for its validity
are put forward and tested against the findings. Temporal profiles of the
substrate and the product are analyzed in addition to that of the complex to
gain further insights into legitimacy of the above approximation. Some recent
observations like the reactant stationary approximation and the notions of
different timescales are revisited. Signatures of the quasi-steady-state
approximation are also nicely detected by following the various reduced
concentration profiles in triangular plots. Conditions for the emergence of
Michaelis-Menten kinetics are scrutinized and it is stressed how one can get
the reaction constants even in the absence of any steady state.


title:
Statistical ages and the cooling rate of X-ray dim isolated neutron
  stars

abstract:
  The cooling theory of neutron stars is corroborated by its comparison with
observations of thermally emitting isolated neutron stars and accreting neutron
stars in binary systems. An important ingredient for such an analysis is the
age of the object, which, typically, is obtained from the spin-down history.
This age is highly uncertain if the object's magnetic field varies appreciably
over time. Other age estimators, such as supernova remnant ages and kinematic
ages, only apply to few handful of neutron stars. We conduct a population
synthesis study of the nearby isolated thermal emitters and obtain their ages
statistically from the observed luminosity function of these objects. We argue
that a more sensitive blind scan of the galactic disk with the upcoming space
telescopes can help to constrain the ages to higher accuracy.


title:
Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings"
  [J. Algebra 358 (2012) 162-177]

abstract:
  We give a purely combinatorial characterization of complete Stanley-Reisner
rings having principally generated (equivalently, finitely generated) Cartier
algebras.


title: Negative Conditional Entropy of Post-Selected States

abstract:
  We define a quantum entropy conditioned on post-selection which has the von
Neumann entropy of pure states as a special case. This conditional entropy can
take negative values which is consistent with part of a quantum system
containing less information than the whole which can be in a pure state. The
definition is based on generalised density operators for postselected
ensembles. The corresponding density operators are consistent with the quantum
generalisation of classical conditional probabilities following Dirac s
formalism of quasiprobability distributions.


title: Superstatistics for fractional systems

abstract:
  The purpose of this paper is to develop a new fractional dynamical approach
to superstatistics. Namely, we show that superstatistical distribution
functions can be obtained from stationary solutions of the generalized
Fokker-Planck equation for fractional systems by using the fractional
generalization Bayes' theorem. We present specific examples of such
distribution functions for fractional systems.


title:
Redshift-space distortions from the cross-correlation of photometric
  populations

abstract:
  Several papers have recently highlighted the possibility of measuring
redshift space distortions from angular auto-correlations of galaxies in
photometric redshift bins. In this work we extend this idea to include as
observables the cross-correlations between redshift bins, as an additional way
of measuring radial information. We show that this extra information allows to
reduce the recovered error in the growth rate index \gamma by a factor of ~2.
Although the final error in \gamma depends on the bias and the mean photometric
accuracy of the galaxy sample, the improvement from adding cross-correlations
is robust in different settings. Another factor of 2-3 improvement in the
determination of \gamma can be achieved by considering two galaxy populations
over the same photometric sky area but with different biases. This additional
gain is shown to be much larger than the one from the same populations when
observed over different areas of the sky (with twice the combined area). The
total improvement of ~5 implies that a photometric survey such as the Dark
Energy Survey should be able to recover \gamma at the 5-10% from the angular
clustering in linear scales of two different tracers. It can also constrain the
evolution of f(z)x\sigma_8(z) in few bins beyond z~0.8-0.9 at the 10-15% level
per-bin, compatible with recent constrains from lower-z spectroscopic surveys.
We also show how further improvement can be achieved by reducing the
photometric redshift error.


title: The physics of custody

abstract:
  Divorced individuals face complex situations when they have children with
different ex-partners, or even more, when their new partners have children of
their own. In such cases, and when kids spend every other weekend with each
parent, a practical problem emerges: Is it possible to have such a custody
arrangement that every couple has either all of the kids together or no kids at
all? We show that in general, it is not possible, but that the number of
couples that do can be maximized. The problem turns out to be equivalent to
finding the ground state of a spin glass system, which is known to be
equivalent to what is called a weighted max-cut problem in graph theory, and
hence it is NP-Complete.


title: Endow a service-oriented architecture by a decisional aspect

abstract:
  Service oriented architecture is more and more used in the companies, The
importance of the service orientation and its advantages with the information
system of the company, confront us to a new challenge. It is primarily to
ensure the decision aspect of the information system of company by adopting
Services Orientated Architecture like support architecture. This engineering
must ensure on the one hand the flexibility of the information system and on
the oth-er hand, avoids the redevelopment of the system by the decisions
request. In the actual position, several obstacles force the installation of
the SOA within the company. It is basically a question of the lack of method to
be implemented to define the services architecture within the information
system of the company which takes account the decisional aspect. Moreover,
there's no existing works which treat this challenge. On the basis of these
notes, we are interested, in this paper, on the develop-ment of a
three-dimensional new architecture for the integration of the deci-sional
aspect in SOA architectures, so that they are used perfectly. The proposal
takes support, mainly, on the use of a coupling MAS-SOA. To demonstrate the
application of our proposition, we use two study cases: project management and
Evapo-transpiration.


title: Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus

abstract:
  We probe the 3d-3d correspondence for mapping cylinder/torus using the
superconformal index. We focus on the case when the fiber is a once-punctured
torus (\Sigma_{1,1}). The corresponding 3d field theories can be realized using
duality domain wall theories in 4d N=2* theory. We show that the superconformal
indices of the 3d theories are the SL(2,C) Chern-Simons partition function on
the mapping cylinder/torus. For the mapping torus, we also consider another
realization of the corresponding 3d theory associated with ideal triangulation.
The equality between the indices from the two descriptions for the mapping
torus theory is reduced to a basis change of the Hilbert space for the SL(2,C)
Chern-Simons theory on Rx\Sigma_{1,1}.


title:
Tur\'an type inequalities for generalized inverse trigonometric
  functions

abstract:
  In this paper we study the inverse of the eigenfunction $\sin_p$ of the
one-dimensional $p$-Laplace operator and its dependence on the parameter $p$,
and we present a Tur\'an type inequality for this function. Similar
inequalities are given also for other generalized inverse trigonometric and
hyperbolic functions. In particular, we deduce a Tur\'an type inequality for a
series considered by Ramanujan, involving the digamma function.


title: Intelligent Agent Based Semantic Web in Cloud Computing Environment

abstract:
  Considering today's web scenario, there is a need of effective and meaningful
search over the web which is provided by Semantic Web. Existing search engines
are keyword based. They are vulnerable in answering intelligent queries from
the user due to the dependence of their results on information available in web
pages. While semantic search engines provides efficient and relevant results as
the semantic web is an extension of the current web in which information is
given well defined meaning. MetaCrawler is a search tool that uses several
existing search engines and provides combined results by using their own page
ranking algorithm. This paper proposes development of a meta-semantic-search
engine called SemanTelli which works within cloud. SemanTelli fetches results
from different semantic search engines such as Hakia, DuckDuckGo, SenseBot with
the help of intelligent agents that eliminate the limitations of existing
search engines.


title:
Focusing through random media in space and time: a transmission matrix
  approach

abstract:
  We exploit the evolution in time of the transmission matrix following pulse
excitation of a random medium to focus radiation at a selected time delay t'
and position r. The temporal profile of a focused microwave pulse is the same
as the incident Gaussian pulse. The contrast in space at time t' of the focused
wave is determined by the participation number of transmission eigenvalues M'
and the size N' of the measured transmission matrix. The initial rise and
subsequent decay in contrast observed reflects the distribution of decay rates
of the quasi-normal modes within the sample.


title:
On the Amount of Dependence in the Prime Factorization of a Uniform
  Random Integer

abstract:
  How much dependence is there in the prime factorization of a random integer
distributed uniformly from 1 to n? How much dependence is there in the
decomposition into cycles of a random permutation of n points? What is the
relation between the Poisson-Dirichlet process and the scale invariant Poisson
process? These three questions have essentially the same answers, with respect
to total variation distance, considering only small components, and with
respect to a Wasserstein distance, considering all components. The Wasserstein
distance is the expected number of changes -- insertions and deletions --
needed to change the dependent system into an independent system.
  In particular we show that for primes, roughly speaking, 2+o(1) changes are
necessary and sufficient to convert a uniformly distributed random integer from
1 to n into a random integer prod_{p leq n} p^{Z_p} in which the multiplicity
Z_p of the factor p is geometrically distributed, with all Z_p independent. The
changes are, with probability tending to 1, one deletion, together with a
random number of insertions, having expectation 1+o(1).
  The crucial tool for showing that 2+epsilon suffices is a coupling of the
infinite independent model of prime multiplicities, with the scale invariant
Poisson process on (0,infty). A corollary of this construction is the first
metric bound on the distance to the Poisson-Dirichlet in Billingsley's 1972
weak convergence result. Our bound takes the form: there are couplings in which
  E sum |log P_i(n) - (log n) V_i | = O(\log \log n), where P_i denotes the
i-th largest prime factor and V_i denotes the i-th component of the
Poisson-Dirichlet process. It is reasonable to conjecture that O(1) is
achievable.


title:
Effect of perpendicular uniaxial anisotropy on the annihilation fields
  of magnetic vortices

abstract:
  The magnetic vortex structure, that is present in several nanoscopic systems,
is stable and can be manipulated through the application of a magnetic field or
a spin polarized current. The size and shape of the core are strongly affected
by the anisotropy, however its role on the core behavior has not yet been
clarified. In the present work we investigate the influence of a perpendicular
anisotropy on the annihilation and shape of magnetic vortex cores in permalloy
disks. We have used both micromagnetic simulations with the OOMMF code, and an
analytical model that assumes that the shape of the core does not change during
the hysteresis cycle, known as the rigid core model, to calculate the
annihilation fields. In both cases we found that the annihilation fields
decrease with increasing perpendicular anisotropy for almost all the structures
investigated. The simulations show that for increasing anisotropy or dot
thickness, or both, the vortex core profile changes its shape, becoming
elongated. For every dot thickness, this change does not depend on the dot
radius, but on the relative distance of the core from the center of the dot.


title: Weighted Electoral Control

abstract:
  Although manipulation and bribery have been extensively studied under
weighted voting, there has been almost no work done on election control under
weighted voting. This is unfortunate, since weighted voting appears in many
important natural settings. In this paper, we study the complexity of
controlling the outcome of weighted elections through adding and deleting
voters. We obtain polynomial-time algorithms, NP-completeness results, and for
many NP-complete cases, approximation algorithms. In particular, for scoring
rules we completely characterize the complexity of weighted voter control. Our
work shows that for quite a few important cases, either polynomial-time exact
algorithms or polynomial-time approximation algorithms exist.


title:
Braided Systems: a Unified Treatment of Algebraic Structures with
  Several Operations

abstract:
  Bialgebras and Hopf (bi)modules are typical algebraic structures with several
interacting operations. Their structural and homological study is therefore
quite involved. We develop the machinery of braided systems, tailored for
handling such multi-operation situations. Our construction covers the above
examples (as well as Poisson algebras, Yetter--Drinfel$'$d modules, and several
other structures, treated in separate publications). In spite of this
generality, graphical tools allow an efficient study of braided systems, in
particular of their representation and homology theories. These latter
naturally recover, generalize, and unify standard homology theories for
bialgebras and Hopf (bi)modules (due to Gerstenhaber--Schack,
Panaite--{\c{S}}tefan, Ospel, Taillefer); and the algebras encoding their
representation theories (Heisenberg double, algebras~$\mathscr X$, $\mathscr
Y$, $\mathscr Z$ of Cibils--Rosso and Panaite). Our approach yields simplified
and conceptual proofs of the properties of these objects.


title: Semilinear fractional elliptic equations involving measures

abstract:
  We study the existence of weak solutions of (E) $ (-\Delta)^\alpha u+g(u)=\nu
$ in a bounded regular domain $\Omega$ in $\R^N (N\ge2)$ which vanish on
$\R^N\setminus\Omega$, where $(-\Delta)^\alpha$ denotes the fractional
Laplacian with $\alpha\in(0,1)$, $\nu$ is a Radon measure and $g$ is a
nondecreasing function satisfying some extra hypothesis. When $g$ satisfies a
subcritical integrability condition, we prove the existence and uniqueness of a
weak solution for problem (E) for any measure. In the case where $\nu$ is Dirac
measure, we characterize the asymptotic behavior of the solution. When
$g(r)=|r|^{k-1}r$ with $k$ supercritical, we show that a condition of absolute
continuity of the measure with respect to some Bessel capacity is a necessary
and sufficient condition in order (E) to be solved.


title:
Characterization of the front-end EASIROC for read-out of SiPM in the
  ASTRI camera

abstract:
  The design and realization of a prototype for the Small-Size class Telescopes
of the Cherenkov Telescope Array is one of the cornerstones of the ASTRI
project. The prototype will adopt a focal plane camera based on Silicon
Photo-Multiplier sensors that coupled with a dual mirror optics configuration
represents an innovative solution for the detection of Atmospheric Cherenkov
light. These detectors can be read by the Extended Analogue Silicon
Photo-Multiplier Integrated Read Out Chip (EASIROC) equipped with 32-channels.
In this paper, we report some preliminary results on measurements aimed to
evaluate EASIROC capability of autotriggering and measurements of the trigger
time walk, jitter, DAC linearity and trigger efficiency vs the injected charge.
Moreover, the dynamic range of the ASIC is also reported.


title: A Versatile Dependent Model for Heterogeneous Cellular Networks

abstract:
  We propose a new model for heterogeneous cellular networks that incorporates
dependencies between the layers. In particular, it places lower-tier base
stations at locations that are poorly covered by the macrocells, and it
includes a small-cell model for the case where the goal is to enhance network
capacity.


title: Sparser Random 3SAT Refutation Algorithms and the Interpolation Problem

abstract:
  We formalize a combinatorial principle, called the 3XOR principle, due to
Feige, Kim and Ofek (2006), as a family of unsatisfiable propositional formulas
for which refutations of small size in any propositional proof system that
possesses the feasible interpolation property imply an efficient deterministic
refutation algorithm for random 3SAT with n variables and \Omega(n^{1.4})
clauses. Such small size refutations would improve the state-of-the-art (with
respect to the clause density) efficient refutation algorithm, which works only
for \Omega(n^{1.5}) many clauses (Feige and Ofek (2007)).
  We demonstrate polynomial-size refutations of the 3XOR principle in
resolution operating with disjunctions of quadratic equations with small
integer coefficients, denoted R(quad); this is a weak extension of cutting
planes with small coefficients. We show that R(quad) is weakly automatizable
iff R(lin) is weakly automatizable, where R(lin) is similar to R(quad) but with
linear instead of quadratic equations (introduced in Raz and Tzameret (2008)).
This reduces the problem of refuting random 3CNF with n variables and
\Omega(n^{1.4}) clauses to the interpolation problem of R(quad) and to the weak
automatizability of R(lin).


title: Ideal quantum clocks and operator time

abstract:
  In the framework of any quantum theory in the Schroedinger picture a general
operator time concept is given. For this purpose certain systems are emphasized
as ideal quantum clocks. Their definition follows heuristically from a common
property of ideal clocks and from general postulates of traditional quantum
theory. Any such ideal quantum clock allows the definition of a symmetric time
operator T. T and the Hamiltonian H necessarily satisfy the time-energy
uncertainty relation. The argument of Pauli against the existence of any time
operator does not strike, because T is symmetric but not selfadjoint.


title:
$T$-root systems of exceptional flag manifolds. Classification and
  invariants

abstract:
  We classify the systems of $T$-roots of the flag manifolds $M$ of the
exceptional compact simple Lie groups with the second Betti number
$b_2(M)\ge2$.


title:
Accurate measurement of the HI column density from HI 21cm
  absorption-emission spectroscopy

abstract:
  We present a detailed study of an estimator of the HI column density, based
on a combination of HI 21cm absorption and HI 21cm emission spectroscopy. This
"isothermal" estimate is given by $N_{\rm HI,ISO} = 1.823 \times 10^{18} \int
\left[ \tau_{\rm tot} \times {\rm T_B} \right] / \left[ 1 - e^{-\tau_{\rm tot}}
\right] {\rm dV}$, where $\tau_{\rm tot}$ is the total HI 21cm optical depth
along the sightline and ${\rm T_B}$ is the measured brightness temperature. We
have used a Monte Carlo simulation to quantify the accuracy of the isothermal
estimate by comparing the derived $N_{\rm HI,ISO}$ with the true HI column
density $N_{\rm HI}$. The simulation was carried out for a wide range of
sightlines, including gas in different temperature phases and random locations
along the path. We find that the results are statistically insensitive to the
assumed gas temperature distribution and the positions of different phases
along the line of sight. The median value of the ratio of the true H{\sc i}
column density to the isothermal estimate, $N_{\rm HI}/{N_{\rm HI, ISO}}$, is
within a factor of 2 of unity while the 68.2% confidence intervals are within a
factor of $\approx 3$ of unity, out to high HI column densities, $\le 5 \times
10^{23}$\,cm$^{-2}$ per 1 km s$^{-1}$ channel, and high total optical depths,
$\le 1000$. The isothermal estimator thus provides a significantly better
measure of the HI column density than other methods, within a factor of a few
of the true value even at the highest columns, and should allow us to directly
probe the existence of high HI column density gas in the Milky Way.


title: Pion-Nucleus Elastic Scattering, DCX and Sub-Threshold Resonances

abstract:
  In the scattering of positive pions by nuclei the double-charge-exchange
(DCX) reaction creates the possibility of formation of pionic atom states in
the vicinity of the threshold of this reaction. These quasi stationary states
can manifest themselves as resonances in the elastic scattering cross section.
The strength and shape of these resonances is strongly affected by an
instability of the nucleus created in the DCX channel. It is shown that this
mechanism can explain oscillation structures in the excitation function
observed in scattering of low-energy positive pions from $^{12}\text{C}$.


title:
Lithologic Mapping of HED Terrains on Vesta using Dawn Framing Camera
  Color Data

abstract:
  The surface composition of Vesta, the most massive intact basaltic object in
the asteroid belt, is interesting because it provides us with an insight into
magmatic differentiation of planetesimals that eventually coalesced to form the
terrestrial planets. The distribution of lithologic and compositional units on
the surface of Vesta provides important constraints on its petrologic
evolution, impact history and its relationship with Vestoids and
howardite-eucrite-diogenite (HED) meteorites. Using color parameters (band tilt
and band curvature) originally developed for analyzing lunar data, we have
identified and mapped HED terrains on Vesta in Dawn Framing Camera (FC) color
data. The average color spectrum of Vesta is identical to that of howardite
regions, suggesting an extensive mixing of surface regolith due to impact
gardening over the course of solar system history. Our results confirm the
hemispherical dichotomy (east-west and north-south) in albedo/color/composition
that has been observed by earlier studies. The presence of diogenite-rich
material in the southern hemisphere suggests that it was excavated during the
formation of the Rheasilvia and Veneneia basins. Our lithologic mapping of HED
regions provides direct evidence for magmatic evolution of Vesta with diogenite
units in Rheasilvia forming the lower crust of a differentiated object.


title: BiEntropy - The Approximate Entropy of a Finite Binary String

abstract:
  We design, implement and test a simple algorithm which computes the
approximate entropy of a finite binary string of arbitrary length. The
algorithm uses a weighted average of the Shannon Entropies of the string and
all but the last binary derivative of the string. We successfully test the
algorithm in the fields of Prime Number Theory (where we prove explicitly that
the sequence of prime numbers is not periodic), Human Vision, Cryptography,
Random Number Generation and Quantitative Finance.


title:
Multiplicity and concentration behavior of positive solutions for a
  Schrodinger-Kirchhoff type problem via penalization method

abstract:
  In this paper we are concerned with questions of multiplicity and
concentration behavior of positive solutions of the elliptic problem
$$\left\{\begin{array}{rcl} \mathcal{L}_{\varepsilon}u = f(u) \ \ \mbox{in} \ \
\mathbb{R}^3,\\ u>0 \ \ \mbox{in} \ \ \mathbb{R}^3,\\ u \in H^1 (\mathbb{R}^3),
\end{array} \right.$$ where $\varepsilon$ is a small positive parameter,
$f:\mathbb{R}\rightarrow \mathbb{R}$ is a continuous function,
$\mathcal{L}_{\varepsilon}$ is a nonlocal operator defined by $$
\mathcal{L}_{\varepsilon} u = M \left(\frac{1}{\varepsilon} \int_{\mathbb{R}^3}
|\nabla u|^2 + \frac{1}{\varepsilon^3} \int_{\mathbb{R}^3} V(x) u^{2}\right)
\left[-\varepsilon^2\Delta u + V(x)u \right],$$ $M:\mathbb{R}_+\to
\mathbb{R}_+$ and $V:\mathbb{R}^3 \to \mathbb{R}$ are continuous functions
which verify some hypotheses.


title: On modules with few minimax cocentralizers

abstract:
  Let R be a ring and G a group. An R-module A is said to be minimax if A
includes an noetherian submodule B such that A=B is artinian. The authors study
a ZG-module A such that A/C_A(H) is minimax (as a Z-module) for every proper
not finitely generated subgroup H.


title: Global Structure of Five-dimensional BPS Fuzzballs

abstract:
  We describe and study families of BPS microstate geometries, namely, smooth,
horizonless asymptotically-flat solutions to supergravity. We examine these
solutions from the perspective of earlier attempts to find solitonic solutions
in gravity and show how the microstate geometries circumvent the earlier
"No-Go" theorems. In particular, we re-analyse the Smarr formula and show how
it must be modified in the presence of non-trivial second homology. This,
combined with the supergravity Chern-Simons terms, allows the existence of rich
classes of BPS, globally hyperbolic, asymptotically flat, microstate geometries
whose spatial topology is the connected sum of N copies of S^2 x S^2 with a
"point at infinity" removed. These solutions also exhibit "evanescent
ergo-regions," that is, the non-space-like Killing vector guaranteed by
supersymmetry is time-like everywhere except on time-like hypersurfaces
(ergo-surfaces) where the Killing vector becomes null. As a by-product of our
work, we are able to resolve the puzzle of why some regular soliton solutions
violate the BPS bound: their spactimes do not admit a spin structure.


title: Opportunistic Third-Party Backhaul for Cellular Wireless Networks

abstract:
  With high capacity air interfaces and large numbers of small cells, backhaul
-- the wired connectivity to base stations -- is increasingly becoming the cost
driver in cellular wireless networks. One reason for the high cost of backhaul
is that capacity is often purchased on leased lines with guaranteed rates
provisioned to peak loads. In this paper, we present an alternate
\emph{opportunistic backhaul} model where third parties provide base stations
and backhaul connections and lease out excess capacity in their networks to the
cellular provider when available, presumably at significantly lower costs than
guaranteed connections. We describe a scalable architecture for such
deployments using open access femtocells, which are small plug-and-play base
stations that operate in the carrier's spectrum but can connect directly into
the third party provider's wired network. Within the proposed architecture, we
present a general user association optimization algorithm that enables the
cellular provider to dynamically determine which mobiles should be assigned to
the third-party femtocells based on the traffic demands, interference and
channel conditions and third-party access pricing. Although the optimization is
non-convex, the algorithm uses a computationally efficient method for finding
approximate solutions via dual decomposition. Simulations of the deployment
model based on actual base station locations are presented that show that large
capacity gains are achievable if adoption of third-party, open access
femtocells can reach even a small fraction of the current market penetration of
WiFi access points.


title:
Signatures of a Pressure-Induced Topological Quantum Phase Transition in
  BiTeI

abstract:
  We report the observation of two signatures of a pressure-induced topological
quantum phase transition in the polar semiconductor BiTeI using x-ray powder
diffraction and infrared spectroscopy. The x-ray data confirm that BiTeI
remains in its ambient-pressure structure up to 8 GPa. The lattice parameter
ratio c/a shows a minimum between 2.0-2.9 GPa, indicating an enhanced c-axis
bonding through pz band crossing as expected during the transition. Over the
same pressure range, the infrared spectra reveal a maximum in the optical
spectral weight of the charge carriers, reflecting the closing and reopening of
the semiconducting band gap. Both of these features are characteristics of a
topological quantum phase transition, and are consistent with a recent
theoretical proposal.


title:
Large-Alphabet Time-Frequency Entangled Quantum Key Distribution by
  means of Time-to-Frequency Conversion

abstract:
  We introduce a novel time-frequency quantum key distribution (TFQKD) scheme
based on photon pairs entangled in these two conjugate degrees of freedom. The
scheme uses spectral detection and phase modulation to enable measurements in
the temporal basis by means of time-to-frequency conversion. This allows
large-alphabet encoding to be implemented with realistic components. A general
security analysis for TFQKD with binned measurements reveals a close connection
with finite-dimensional QKD protocols and enables analysis of the effects of
dark counts on the secure key size.


title:
Time-Reversible Random Number Generators : Solution of Our Challenge by
  Federico Ricci-Tersenghi

abstract:
  Nearly all the evolution equations of physics are time-reversible, in the
sense that a movie of the solution, played backwards, would obey exactly the
same differential equations as the original forward solution. By way of
contrast, stochastic approaches are typically not time-reversible, though they
could be made so by the simple expedient of storing their underlying
pseudorandom numbers in an array. Here we illustrate the notion of
time-reversible random number generators. In Version 1 we offered a suitable
reward for the first arXiv response furnishing a reversed version of an only
slightly-more-complicated pseudorandom number generator. Here we include
Professor Ricci-Tersenghi's prize-winning reversed version as described in his
arXiv:1305.1805 contribution: "The Solution to the Challenge in
`Time-Reversible Random Number Generators' by Wm. G. Hoover and Carol G.
Hoover".


title: Two-dimensional Minkowski causal automorphisms and conformal maps

abstract:
  Treating the two-dimensional Minkowski space as a Wick rotated version of the
complex plane, we characterize the causal automorphisms in two-dimensional
Minkowski space as the M\"{a}rzke-Wheeler maps of a certain class of observers.
We also characterize the differentiable causal automorphisms of this space as
the Minkowski conformal maps whose restriction to the time axis belongs to the
class of observers mentioned above. We answer a recently raised question about
whether causal automorphisms are characterized by their wave equation. As
another application of the theory, we give a proper time formula for
accelerated observers which solves the twin paradox in two-dimensional
Minkowski spacetime.


title: Probing the Origins of Two-State Folding

abstract:
  Many protein systems fold in a two-state manner. Random models, however,
rarely display two-state kinetics and thus such behavior should not be accepted
as a default. To date, many theories for the prevalence of two-state kinetics
have been presented, but none sufficiently explain the breadth of experimental
observations. A model, making a minimum of assumptions, is introduced that
suggests two-state behavior is likely for any system with an overwhelmingly
populated native state. We show two-state folding is emergent and strengthened
by increasing the occupancy population of the native state. Further, the model
exhibits a hub-like behavior, with slow interconversions between unfolded
states. Despite this, the unfolded state equilibrates quickly relative to the
folding time. This apparent paradox is readily understood through this model.
Finally, our results compare favorable with experimental measurements of
protein folding rates as a function of chain length and Keq, and provide new
insight into these results.


title: Flat-Base Broadband Multibeam Luneburg Lens for Wide Angle Scan

abstract:
  In this paper we present the design of a flat-base Luneburg type of lens
antenna, designed for wide angle scan. The antenna consists of a 11-layer lens,
fed at its base by a 6x6 array of waveguides. The lens is broadband and has a
high aperture efficiency, only 1 dB below that of a reference aperture antenna
with uniform amplitude and phase distributions. Its sidelobe level is -21 dB at
boresight and -13 dB when the scan angle is 64 degrees. It shows good
performance when compared to the flat Luneburg lens previously reported in the
literature, in terms of gain, scan capability, as well as ease of fabrication.
It is shown to have the capability of producing multiple beams simultaneously,
multiple angle, scan capability. Two different methodologies have been used to
design the 6x6 feed array of waveguides for the lens. The first of these
utilizes a conventional perfect electric conductor (PEC) waveguide, while the
second employs materials for the guided wave region that have a high
permittivity at frequencies at which metals become lossy and plasmonic. The
performance of the lens has been investigated in this paper for both of these
feed array designs.


title: The ordered set of principal congruences of a countable lattice

abstract:
  For a lattice L, let Princ L denote the ordered set of principal congruences
of L. In a pioneering paper, G. Gratzer characterized the ordered sets Princ L
of finite lattices L; here we do the same for countable lattices. He also
showed that each bounded ordered set H is isomorphic to Princ L of a bounded
lattice L. We prove a related statement: if an ordered set H with least element
is the union of a chain of principal order ideals, then H is isomorphic to
Princ L of some lattice L.


title:
Studying the Internal Ballistics of a Combustion Driven Potato Cannon
  using High-speed Video

abstract:
  A potato cannon was designed to accommodate several different experimental
propellants and have a transparent barrel so the movement of the projectile
could be recorded on high-speed video (at 2000 frames per second). Both
combustion chamber and barrel were made of polyvinyl chloride (PVC). Five
experimental propellants were tested: propane (C3H8), acetylene (C2H2), ethanol
(C2H6O), methanol (CH4O), and butane (C4H10). The amount of each experimental
propellant was calculated to approximate a stoichometric mixture and
considering the Upper Flammability Limit (UFL) and the Lower Flammability Limit
(LFL), which in turn were affected by the volume of the combustion chamber.
Cylindrical projectiles were cut from raw potatoes so that there was an
airtight fit, and each weighed 50 (+/- 0.5) grams. For each trial, position as
a function of time was determined via frame by frame analysis. Five trials were
taken for each experimental propellant and the results analyzed to compute
velocity and acceleration as functions of time. Additional quantities including
force on the potato and the pressure applied to the potato were also computed.
For each experimental propellant, average velocity vs. barrel position curves
were plotted. The most effective experimental propellant was defined as the one
which accelerated the potato to the highest muzzle velocity. The experimental
propellant acetylene performed the best on average (138.1 m/s), followed by
methanol (48.2 m/s), butane (34.6 m/s), ethanol (33.3 m/s), and propane (27.9
m/s), respectively.


title: Inertial game dynamics and applications to constrained optimization

abstract:
  Aiming to provide a new class of game dynamics with good long-term
rationality properties, we derive a second-order inertial system that builds on
the widely studied "heavy ball with friction" optimization method. By
exploiting a well-known link between the replicator dynamics and the
Shahshahani geometry on the space of mixed strategies, the dynamics are stated
in a Riemannian geometric framework where trajectories are accelerated by the
players' unilateral payoff gradients and they slow down near Nash equilibria.
Surprisingly (and in stark contrast to another second-order variant of the
replicator dynamics), the inertial replicator dynamics are not well-posed; on
the other hand, it is possible to obtain a well-posed system by endowing the
mixed strategy space with a different Hessian-Riemannian (HR) metric structure,
and we characterize those HR geometries that do so. In the single-agent version
of the dynamics (corresponding to constrained optimization over simplex-like
objects), we show that regular maximum points of smooth functions attract all
nearby solution orbits with low initial speed. More generally, we establish an
inertial variant of the so-called "folk theorem" of evolutionary game theory
and we show that strict equilibria are attracting in asymmetric
(multi-population) games - provided of course that the dynamics are well-posed.
A similar asymptotic stability result is obtained for evolutionarily stable
strategies in symmetric (single- population) games.


title:
Lagrangian torus fibrations and homological mirror symmetry for the
  conifold

abstract:
  We discuss homological mirror symmetry for the conifold from the point of
view of the Strominger-Yau-Zaslow conjecture.


title: On oscillators in phyllosilicate excitable automata

abstract:
  Phyllosilicate is a sheet of silicate tetrahedra bound by basal oxygens. A
phyllosilicate excitable automaton is a regular network of finite state
machines, which mimics structure of a silicate sheet. A node of the silicate
sheet is an automaton, which takes resting, excited and refractory states, and
updates its state in discrete time depending on a sum of excited states of its
three (silicon automata) or six (oxygen automata) closest neighbours.
Oscillator is a localised compact configuration of non-quiescent states which
undergoes finite growth and modification but returns to its original state in a
finite number of steps. We show that phyllosilicate excitable automata exhibit
spiral and target waves, and oscillating localisation dynamics. Basic types of
oscillators are classified and characterised.


title: Geometric momentum for a particle constrained on a curved hypersurface

abstract:
  A strengthened canonical quantization scheme for the constrained motion on a
curved hypersurface is proposed with introduction of the second category of
fundamental commutation relations between Hamiltonian and positions/momenta,
whereas those between positions and moments are categorized into the first. As
an $N-1$ ($N\geq2$) dimensional hypersurface is embedded in an N dimensional
Euclidean space, we obtain the proper momentum that depends on the mean
curvature. For the surface is the spherical one, a long-standing problem on the
form of the geometric potential is resolved in a lucid and unambiguous manner,
which turns out to be identical to that given by the so-called confining
potential technique. In addition, a new dynamical group SO(N,1) symmetry for
the motion on the sphere is demonstrated.


title:
Computational studies of the glass-forming ability of model bulk
  metallic glasses

abstract:
  Bulk metallic glasses (BMGs) are produced by rapidly thermally quenching
supercooled liquid metal alloys below the glass transition temperature at rates
much faster than the critical cooling rate R_c below which crystallization
occurs. The glass-forming ability of BMGs increases with decreasing R_c, and
thus good glass-formers possess small values of R_c. We perform molecular
dynamics simulations of binary Lennard-Jones (LJ) mixtures to quantify how key
parameters, such as the stoichiometry, particle size difference, attraction
strength, and heat of mixing, influence the glass-formability of model BMGs.
For binary LJ mixtures, we find that the best glass-forming mixtures possess
atomic size ratios (small to large) less than 0.92 and stoichiometries near
50:50 by number. In addition, weaker attractive interactions between the
smaller atoms facilitate glass formation, whereas negative heats of mixing (in
the experimentally relevant regime) do not change R_c significantly. These
studies represent a first step in the development of computational methods for
quantitatively predicting glass-formability.


title:
Factorization of network reliability with perfect nodes I: Introduction
  and statements

abstract:
  A new general all terminal network reliability factorization theorem is
stated. We relegate the proof to a forthcoming second part paper.


title:
Quantum irreversible decoherence behaviour in open quantum systems with
  few degrees of freedom. Application to 1H NMR reversion experiments in
  nematic liquid crystals

abstract:
  An experimental study of NMR spin decoherence in nematic liquid crystals (LC)
is presented. Decoherence dynamics can be put in evidence by means of
refocusing experiments of the dipolar interactions. The experimental technique
used in this work is based on the MREV8 pulse sequence. The aim of the work is
to detect the main features of the Irreversible Quantum Decoherence (IQD) in
LC, on the basis of the theory presented by the authors recently. The focus is
laid on experimentally probing the eigen-selection process in the intermediate
time scale, between quantum interference of a closed system and thermalization,
as a signature of the IQD of the open quantum system, as well as on quantifying
the effects of non-idealities as possible sources of signal decays which could
mask the intrinsic IQD. In order to contrast experiment and theory, the theory
was adapted to obtain the IQD function corresponding to the MREV8 reversion
experiments. Non-idealities of the experimental setting are analysed in detail
within this framework and their effects on the observed signal decay are
numerically estimated. It is found that, though these non-idealities could in
principle affect the evolution of the spin dynamics, their influence can be
mitigated and they do not present the characteristic behavior of the IQD. As
unique characteristic of the IQD, the experimental results clearly show the
occurrence of eigen-selectivity in the intermediate timescale, in complete
agreement with the theoretical predictions. We conclude that the
eigen-selection effect is the fingerprint of IQD associated with a quantum open
spin system in LC. Besides, these features of the results account for the
quasi-equilibrium states of the spin system, which were observed previously in
these mesophases, and lead to conclude that the quasi-equilibrium is a definite
stage of the spin dynamics during its evolution towards equilibrium


title: From Gas to Stars Over Cosmic Time

abstract:
  From the time the first stars formed over 13 billion years ago to the
present, star formation has had an unexpectedly dynamic history. At first, the
star formation rate density increased dramatically, reaching a peak 10 billion
years ago more than ten times the present day value. Observations of the
initial rise in star formation remain difficult, poorly constraining it.
Theoretical modeling has trouble predicting this history because of the
difficulty in following the feedback of energy from stellar radiation and
supernova explosions into the gas from which further stars form. Observations
from the ground and space with the next generation of instruments should reveal
the full history of star formation in the universe, while simulations appear
poised to accurately predict the observed history.


title:
Singular Behavior of the Solution to the Stochastic Heat Equation on a
  Polygonal Domain

abstract:
  We study the stochastic heat equation with trace class noise and zero
Dirichlet boundary condition on a bounded polygonal domain O in R^2. It is
shown that the solution u can be decomposed into a regular part u_R and a
singular part u_S which incorporates the corner singularity functions for the
Poisson problem. Due to the temporal irregularity of the noise, both u_R and
u_S have negative L_2-Sobolev regularity of order s<-1/2 in time. The regular
part u_R admits spatial Sobolev regularity of order r=2, while the spatial
Sobolev regularity of u_S is restricted by r<1+\pi/\gamma, where \gamma is the
largest interior angle at the boundary of O. We obtain estimates for the
Sobolev norm of u_R and the Sobolev norms of the coefficients of the
singularity functions. The proof is based on a Laplace transform argument
w.r.t. the time variable. The result is of interest in the context of numerical
methods for stochastic PDEs.


title: Density and tails of unimodal convolution semigroups

abstract:
  We give sharp bounds for the isotropic unimodal probability convolution
semigroups when their L\'evy-Khintchine exponent has Matuszewska indices
strictly between 0 and 2.