title: Conceptual Framework of Redundant Link Aggregation

abstract:
  This is era of information blast. A huge quantity of information is pouring
in from various sources. The revolutionary advancement of Information and
Communication technologies bring the world close together. A pile of
information in different formats is just a click away. Which motivate the
organizations to get more internet bandwidth to consume and publish the
information over exploding cloud of Internet. The standard router redundancy
protocol is used to handle backup links however it cannot aggregate them.
Whereas the link standard aggregation protocol can aggregate the link but it
support only Ethernet technology. In this research paper a concept of Redundant
Link Aggregation (RLA) is proposed. RLA can aggregate and handle backup links
with main links regardless of carrier technology. Furthermore a data forwarding
mechanism Odd Load Balancing (OLB) is also proposed for RLA scheme. For the
sake of performance evaluation, Redundant Link Aggregation (RLA) is compared
with Virtual Router Redundancy Protocol (VRRP). The simulation result reveals
that Redundant Link Aggregation (RLA) can cover the bandwidth demand of the
network in peak hours by consuming backup links as well which with Virtual
Router Redundancy Protocol (VRRP) cannot. It is further noted that Odd Load
Balancing (OLB) feature can be used to save the cost in terms of money per
annum.


title: Contact electrification and the work of adhesion

abstract:
  We present a general theory for the contribution from contact electrification
to the work necessary to separate two solid bodies. The theory depends on the
surface charge density correlation function, which we deduce from Kelvin Force
Microscopy (KFM) maps of the surface electrostatic potential. For silicon
rubber (polydimethylsiloxane, PDMS) we discuss in detail the relative
importance of the different contributions to the observed work of adhesion.


title:
Light cone quantization and interactions of a new closed bosonic string
  inspired to D1 string

abstract:
  We quantize the bosonic part of the D1 string with closed boundary conditions
on the light cone and we consider the U(1) worldsheet gauge field a dynamical
variable. We compute also 3-Reggeon vertex by the overlapping technique. We
find that the Fock space is the sum of sectors characterized by the momentum of
the U(1) Wilson line and that these sectors do not interact among them. Each
sector has exactly the same spectrum of the usual bosonic string when expressed
in properly sector dependent rescaled variables. Rescaling is forced by
factorization of the string amplitudes. We are also able to determine the
relative string coupling constant of the different sectors. It follows a
somewhat unexpected picture in which the effective action is always the same
independently on the sector but string amplitudes are only the same when
expressed in sector dependent rescaled variables.


title:
Backhopping effect in magnetic tunnel junctions: comparison between
  theory and experiment

abstract:
  We report on the magnetic switching and backhopping effects due to
spin-transfer-torque in magnetic tunnel junctions. Experimental data on the
current-induced switching in junctions with MgO tunnel barrier reveal a random
back-and-forth switching between the magnetization states, which appears when
the current direction favors the parallel magnetic configuration. The effect
depends on the barrier thickness $t_b$, and is not observed in tunnel junctions
with very thin MgO tunnel barriers, $t_b$ $<$ 0.95 nm. Switching dependence on
the bias voltage and barrier thickness is explained in terms of the macrospin
model, with the magnetization dynamics described by the modified
Landau-Lifshitz-Gilbert equation. Numerical simulations indicate that the
competition between in-plane and out-of-plane torque components can result at
high bias voltages in a non-deterministic switching behavior, in agreement with
experimental observations. When the barrier thickness is reduced, the overall
coupling between the magnetic layers across the barrier becomes ferromagnetic,
which suppresses the backhopping effect.


title:
Parallel in time algorithm with spectral-subdomain enhancement for
  Volterra integral equations

abstract:
  This paper proposes a parallel in time (called also time parareal) method to
solve Volterra integral equations of the second kind. The parallel in time
approach follows the same spirit as the domain decomposition that consists of
breaking the domain of computation into subdomains and solving iteratively the
sub-problems in a parallel way. To obtain high order of accuracy, a spectral
collocation accuracy enhancement in subdomains will be employed. Our main
contributions in this work are two folds: (i) a time parareal method is
designed for the integral equations, which to our knowledge is the first of its
kind. The new method is an iterative process combining a coarse prediction in
the whole domain with fine corrections in subdomains by using spectral
approximation, leading to an algorithm of very high accuracy; (ii) a rigorous
convergence analysis of the overall method is provided. The numerical
experiment confirms that the overall computational cost is considerably reduced
while the desired spectral rate of convergence can be obtained.


title: Early Detection of Alzheimer's - A Crucial Requirement

abstract:
  Alzheimer's, an old age disease of people over 65 years causes problems with
memory, thinking and behavior. This disease progresses very slow and its
identification in early stages is very difficult. The symptoms of Alzheimer's
appear slowly and gradually will have worse effects. In its early stages, not
only the patients themselves but their loved ones are generally unable to
accept that the patient is suffering from disease. In this paper, we have
proposed a new algorithm to detect patients of Alzheimer's at early stages by
comparing the Magnetic Resonance Images (MRI) of the patients with normal
persons of their age. The progress of the disease can also be monitored by
periodic comparison of the previous and current MRI.


title: Sharp MSE Bounds for Proximal Denoising

abstract:
  Denoising has to do with estimating a signal $x_0$ from its noisy
observations $y=x_0+z$. In this paper, we focus on the "structured denoising
problem", where the signal $x_0$ possesses a certain structure and $z$ has
independent normally distributed entries with mean zero and variance
$\sigma^2$. We employ a structure-inducing convex function $f(\cdot)$ and solve
$\min_x\{\frac{1}{2}\|y-x\|_2^2+\sigma\lambda f(x)\}$ to estimate $x_0$, for
some $\lambda>0$. Common choices for $f(\cdot)$ include the $\ell_1$ norm for
sparse vectors, the $\ell_1-\ell_2$ norm for block-sparse signals and the
nuclear norm for low-rank matrices. The metric we use to evaluate the
performance of an estimate $x^*$ is the normalized mean-squared-error
$\text{NMSE}(\sigma)=\frac{\mathbb{E}\|x^*-x_0\|_2^2}{\sigma^2}$. We show that
NMSE is maximized as $\sigma\rightarrow 0$ and we find the \emph{exact} worst
case NMSE, which has a simple geometric interpretation: the
mean-squared-distance of a standard normal vector to the $\lambda$-scaled
subdifferential $\lambda\partial f(x_0)$. When $\lambda$ is optimally tuned to
minimize the worst-case NMSE, our results can be related to the constrained
denoising problem $\min_{f(x)\leq f(x_0)}\{\|y-x\|_2\}$. The paper also
connects these results to the generalized LASSO problem, in which, one solves
$\min_{f(x)\leq f(x_0)}\{\|y-Ax\|_2\}$ to estimate $x_0$ from noisy linear
observations $y=Ax_0+z$. We show that certain properties of the LASSO problem
are closely related to the denoising problem. In particular, we characterize
the normalized LASSO cost and show that it exhibits a "phase transition" as a
function of number of observations. Our results are significant in two ways.
First, we find a simple formula for the performance of a general convex
estimator. Secondly, we establish a connection between the denoising and linear
inverse problems.


title: Anomalous Kolar events revisited: Dark Matter?

abstract:
  The possibility of the unexplained Kolar events, recorded in the 70's and
80's, being due to the decays of dark matter particles of mass in the range of
5--10 GeV is pointed out.


title: Ergodic transition in a simple model of the continuous double auction

abstract:
  We study a phenomenological model for the continuous double auction,
equivalent to two independent $M/M/1$ queues. The continuous double auction
defines a continuous-time random walk for trade prices. The conditions for
ergodicity of the auction are derived and, as a consequence, three possible
regimes in the behavior of prices and logarithmic returns are observed. In the
ergodic regime, prices are unstable and one can observe an intermittent
behavior in the logarithmic returns. On the contrary, non-ergodicity triggers
stability of prices, even if two different regimes can be seen.


title:
Magnetic and Electronic Structure study of Fe/MgO/Fe/Co Multilayer Stack
  Deposited by E-Beam Evaporation

abstract:
  Present work investigates the magnetic and electronic structure of
MgO/Fe/MgO/Fe/Co/Au multilayer stack grown on Si(100) substrates by electron
beam evaporation method. X-ray diffraction study depicts polycrystalline nature
of the multilayers. Results obtained from vibrating sample magnetometry (VSM)
and near-edge X-ray absorption fine structure spectra (NEXAFS) at Fe & Co L-
and Mg & O K-edges are applied to understand the magnetic and electronic
properties of this stack and its interface properties. While the spectral
features of Fe L-edge spectrum recorded by surface sensitive total electron
yield (TEY) mode shows the formation of FeOx at the Fe/MgO interface, the bulk
sensitive total fluorescence yield (TFY), shows Fe in metallic nature. Co
L-edge spectrum reveals the presence of metallic nature of cobalt in both TEY
and TFY modes. Above results are well correlated with X-ray reflectometry.


title: The relation of H2CO, 12CO, and 13CO in molecular clouds

abstract:
  Aims. We seek to understand how the 4.8 GHz formaldehyde absorption line is
distributed in the MON R2, S156, DR17/L906, and M17/M18 regions. More
specifically, we look for the relationship among the H2CO, 12CO, and 13CO
spectral lines. Methods. The four regions of MON R2 (60'x90'), S156 (5'0x70'),
DR17/L906 (40'x60'), and M17 /M18 (70'x80')were observed for H2CO (beam 10'),
H110a recombination (beam 10'), 6 cm continuum (beam 10'), 12CO (beam 1'), and
13CO (beam 1'). We compared the H2CO,12CO,13CO, and continuum distributions,
and also the spectra line parameters of H2CO,12CO, and 13CO. Column densities
of H2CO,13CO, and H2 were also estimated. Results. We found out that the H2CO
distribution is similar to the 12CO and the 13CO distributions on a large
scale. The correlation between the 13 CO and the H2CO distributions is better
than between the 12CO and H2CO distributions. The H2CO and the 13CO tracers
systematically provide consistent views of the dense regions. T heir maps have
similar shapes, sizes, peak positions, and molecular spectra and present
similar centr al velocities and line widths. Such good agreement indicates that
the H2CO and the 13CO arise from similar regions.


title: Direct Dark Matter search with the XENON program

abstract:
  We present the most recent results from XENON100, the current phase of the
XENON dark matter search program. XENON100 is a dual phase time-projection
chamber operated at the Laboratori Nazionali del Gran Sasso (LNGS) whose
ultra-low electromagnetic background, about 5 x 10^-3 events/(kg x day x keV),
allowed to set the most stringent limit to date, excluding WIMP-nucleon
spin-independent interaction down to cross-sections of 2 x 10^-45 cm^2 for a 55
GeV/c^2 mass at 90% confidence level and 3.5 x10^-40 for 45 GeV/c^2 in the
spin-dependent interaction with neutrons. We also introduce the status and
physics goal of XENON1T, the next phase of the program, which will be able to
achieve sensitivity down to 2 x 10^-47 cm^2 for a WIMP of 50 GeV/c^2.


title: Character degree sums of finite groups

abstract:
  We present some results on character degree sums in connection with certain
characteristics of finite groups such as p-solvability, solvability,
supersolvability, and nilpotency. Some of them strengthen known results in the
literature.


title: Uncertainty of Weak Measurement and Merit of Amplification

abstract:
  Aharonov's weak value, which is a physical quantity obtainable by weak
measurement, admits amplification and hence is deemed to be useful for
precision measurement. We examine the significance of the amplification based
on the uncertainty of measurement, and show that the trade-offs among the three
(systematic, statistical and nonlinear) components of the uncertainty inherent
in the weak measurement will set an upper limit on the usable amplification.
Apart from the Gaussian state models employed for demonstration, our argument
is completely general; it is free from approximation and valid for arbitrary
observables $A$ and couplings $g$.


title: Hard X-ray spectra of AGN in the INTEGRAL complete sample

abstract:
  In this paper, we present the hard X-ray spectral analysis of a complete
sample of AGN de- tected by INTEGRAL/IBIS. In conjunction with IBIS spectra, we
make use of Swift/BAT data, with the aim of cross-calibrating the two
instruments, studying source variability and con- straining some important
spectral parameters. We find that flux variability is present in at least 14%
of the sample, while spectral variability is found only in one object. There is
general good agreement between BAT and IBIS spectra, despite a systematic
mismatch of about 22% in normalisation. When fitted with a simple power-law
model, type 1 and type 2 sources appear to have very similar average photon
indices, suggesting that they are powered by the same mechanism. As expected,
we also find that a simple power-law does not always describe the data
sufficiently well, thus indicating a certain degree of spectral complexity,
which can be ascribed to features like a high energy cut-off and/or a
reflection component. Fixing the reflection to be 0, 1 or 2, we find that our
sample covers quite a large range in photon indices as well as cut-off
energies; however, the spread is due only to a small number of objects, while
the majority of the AGN lie within well defined boundaries of photon index
(1<{\Gamma}<2) and cut-off energy (30<Ecut<300 keV).


title:
Trajectory phase transitions and dynamical Lee-Yang zeros of the
  Glauber-Ising chain

abstract:
  We examine the generating function of the time-integrated energy for the
one-dimensional Glauber-Ising model. At long times, the generating function
takes on a large-deviation form and the associated cumulant generating function
has singularities corresponding to continuous trajec- tory (or "space-time")
phase transitions between paramagnetic trajectories and ferromagnetically or
anti-ferromagnetically ordered trajectories. In the thermodynamic limit, the
singularities make up a whole curve of critical points in the complex plane of
the counting field. We evaluate analyti- cally the generating function by
mapping the generator of the biased dynamics to a non-Hermitian Hamiltonian of
an associated quantum spin chain. We relate the trajectory phase transitions to
the high-order cumulants of the time-integrated energy which we use to extract
the dynamical Lee-Yang zeros of the generating function. This approach offers
the possibility to detect continuous trajectory phase transitions from the
finite-time behaviour of measurable quantities.


title: Generalized Neutrosophic Soft Set

abstract:
  In this paper we present a new concept called generalized neutrosophic soft
set. This concept incorporates the beneficial properties of both generalized
neutrosophic set introduced by A.A. Salama [7]and soft set techniques proposed
by Molodtsov [4]. We also study some properties of this concept. Some
definitions and operations have been introduced on generalized neutrosophic
soft set. Finally we present an application of generalized neuutrosophic soft
set in decision making problem.


title: On the non-coprime k(GV) problem

abstract:
  Let V be a finite faithful completely reducible FG-module for a finite field
F and a finite group G. In various cases explicit linear bounds in |V| are
given for the numbers of conjugacy classes k(GV) and k(G) of the semidirect
product GV and of the group G respectively. These results concern the so-called
non-coprime k(GV)-problem.


title: Hierarchical dynamics for system-bath coherence correlation spectrum

abstract:
  We propose a quasi-particle description for the hierarchical equations of
motion formalism for quantum dissipative dynamics systems. Not only it provides
an alternative mathematical means to the existing formalism, the new protocol
clarifies also explicitly the physical meanings of the auxiliary density
operators and their relations to full statistics on solvation bath variables.
Combining with the standard linear response theory, we construct further the
hierarchical dynamics formalism for correlated spectrum of system--bath
coherence. We evaluate the spectrum matrix for a demonstrative spin-boson
system-bath model. While the individual diagonal element of the spectrum matrix
describes the system or the solvation bath correlation, the off-diagonal
elements characterize the correlation between system and bath solvation
dynamics.


title:
d-wave superconductivity and its coexistence with antiferromagnetism in
  t-J-U model: Statistically consistent Gutzwiller approach

abstract:
  We discuss the coexistence of antiferromagnetism and d-wave superconductivity
within the so-called statistically-consistent Gutzwiller approximation (SGA)
applied to the t-J-U model. In this approach, the averages calculated in a
self-consistent manner coincide with those determined variationally. Such
consistency is not guaranteed within the standard renormalized mean field
theory. With the help of SGA, we show that for the typical value J/|t| = 1/3,
coexistence of antiferromagnetism (AF) and superconductivity (SC) appears only
for U/|t| > 10.6 and in a very narrow range of doping (\delta < 0.006) in the
vicinity of the Mott insulating state, in contrast to some previous reports. In
the coexistent AF+SC phase, a staggered spin-triplet component of the
superconducting gap appears also naturally; its value is very small.


title: Entanglement Thermodynamics

abstract:
  We study entanglement entropy for an excited state by making use of the
proposed holographic description of the entanglement entropy. For a
sufficiently small entangling region and with reasonable identifications we
find an equation between entanglement entropy and energy which is reminiscent
of the first law of thermodynamics. We then suggest four statements which might
be thought of as four laws of entanglement thermodynamics.


title: Connectivity and other invariants of generalized products of graphs

abstract:
  Figueroa-Centeno et al. introduced the following product of digraphs: let $D$
be a digraph and let $\Gamma$ be a family of digraphs such that $V(F)=V$ for
every $F\in \Gamma$. Consider any function $h:E(D)\longrightarrow\Gamma $. Then
the product $D\otimes_{h} \Gamma$ is the digraph with vertex set $V(D)\times V$
and $((a,x),(b,y))\in E(D\otimes_h\Gamma)$ if and only if $(a,b)\in E(D)$ and
$(x,y)\in E(h (a,b))$.
  In this paper, we introduce the undirected version of the
$\otimes_h$-product, which is a generalization of the classical direct product
of graphs and, motivated by it, we also recover a generalization of the
classical lexicographic product of graphs that was introduced by Sabidussi en
1961. We study connectivity properties and other invariants in terms of the
factors. We also present a new intersection graph that emerges when we
characterize the connectivity of $\otimes_h$-product of graphs.


title:
Inter-ELM pedestal evolution on MAST and impact of Resonant Magnetic
  Perturbations

abstract:
  The peak pressure gradient in the pedestal (dPe/d{\psi}) on MAST varies
little between edge localized modes (ELMs), although it varies between
discharges due factors such as gas fuelling and plasma current. The pressure
pedestal width in flux space on the high-field side (HFS), both during the
inter-ELM period and amongst different plasma discharges is consistent with a
scaling of . In flux space very similar dPe/d{\psi} and {\Delta}pe are observed
on the HFS and low-field side (LFS) in single null configuration. This symmetry
is broken by the application of resonant magnetic perturbations (RMPs). During
ELM mitigation by application of RMPs changes in the edge transport barrier
position and width are observed. These changes are dependent on the intensity
of the RMP and on the toroidal location with respect to the RMP phase. An
outward displacement of up to 30 mm and increase in the edge pedestal width of
up to 50% with respect to the coils case off are observed. Increased particle
transport causes a decrease in ne,ped, and hence Pe,ped, as is observed on
other devices. The combination of an increase in {\Delta}pe on the LFS and
decrease in Pe,ped results in significantly reduced LFS dPe/d{\psi} when these
perturbations are applied to the plasma edge. A decrease in dPe/d{\psi} on the
HFS is also observed due to RMP; however, this decrease is caused solely by the
Pe,ped decrease whilst no expansion of {\Delta}pe on the HFS is observed.


title: Poincare duality in Morava K-theory for classifying spaces of orbifolds

abstract:
  Greenlees and Sadofsky showed that the classifying spaces of finite groups
are self-dual with respect to Morava K-theory K(n). Their duality map was
constructed using a transfer map. We generalize their duality map and prove a
K(n)-version of Poincare duality for classifying spaces of orbifolds. By
regarding these classifying spaces as the homotopy types of certain
differentiable stacks, our construction can be viewed as a stack version of
Spanier-Whitehead type construction. Some examples and calculations will be
given at the end.


title: An efficient algorithm for learning with semi-bandit feedback

abstract:
  We consider the problem of online combinatorial optimization under
semi-bandit feedback. The goal of the learner is to sequentially select its
actions from a combinatorial decision set so as to minimize its cumulative
loss. We propose a learning algorithm for this problem based on combining the
Follow-the-Perturbed-Leader (FPL) prediction method with a novel loss
estimation procedure called Geometric Resampling (GR). Contrary to previous
solutions, the resulting algorithm can be efficiently implemented for any
decision set where efficient offline combinatorial optimization is possible at
all. Assuming that the elements of the decision set can be described with
d-dimensional binary vectors with at most m non-zero entries, we show that the
expected regret of our algorithm after T rounds is O(m sqrt(dT log d)). As a
side result, we also improve the best known regret bounds for FPL in the full
information setting to O(m^(3/2) sqrt(T log d)), gaining a factor of sqrt(d/m)
over previous bounds for this algorithm.


title: Anomalous Paths in Quantum Mechanical Path-Integrals

abstract:
  We investigate modifications of the discrete-time lattice action, for a
quantum mechanical particle in one spatial dimension, that vanish in the
na\"ive continuum limit but which, nevertheless, induce non-trivial effects due
to quantum fluctuations. These effects are seen to modify the geometry of the
paths contributing to the path-integral describing the time evolution of the
particle, which we investigate through numerical simulations. In particular, we
demonstrate the existence of a modified lattice action resulting in paths with
any fractal dimension, d_f, between one and two. We argue that d_f=2 is a
critical value, and we exhibit a type of lattice modification where the
fluctuations in the position of the particle becomes independent of the time
step, in which case the paths are interpreted as superdiffusive L\'{e}vy
flights. We also consider the jaggedness of the paths, and show that this gives
an independent classification of lattice theories.


title: Rate-Only analysis with reactor-off data in the Double Chooz experiment

abstract:
  Among ongoing reactor-based experiments, Double Chooz is unique in obtaining
data when the reactor cores are brought down for maintenance. These reactor-off
data allow for a clean measurement of the backgrounds of the experiment, thus
being of uppermost importance for the theta13 oscillation analysis. While the
oscillation results published by the collaboration in 2011 and 2012 rely on
background models derived from reactor-on data, in this talk we present an
independent study based on the handle provided by 7.53 days of reactor-off
data. A global fit to both theta13 and the total background is performed by
analyzing the observed neutrino rate as a function of the non-oscillated
expected rate for different reactor power conditions. The result presented in
this talk is fully consistent with the one already published by Double Chooz.
As they both yield almost the same precision, this work stands as a prove of
the reliability of the background estimates and the oscillation analysis of the
experiment.


title:
On the Possibility of Event Shape Selection in Relativistic Heavy Ion
  Collisions

abstract:
  We investigate the possibility of selecting heavy ion collision events with
certain features in the initial state ("event engineering"). Anisotropic flow
measurements in heavy ion reactions have confirmed the almost ideal fluid
dynamical behaviour of the hot and dense quark gluon plasma state. As a
consequence, it is intriguing to pursue the idea of selecting collisions with a
certain special initial geometry, e.g., a large ellipsoidal or triangular
deformation, by classifying events by the value of their final observed flow
coefficients. This procedure could be especially interesting for azimuthally
dependent jet energy loss studies. We investigate the correlation between
initial state features and final state momentum space anisotropies within an
event-by-event hybrid approach. We find that the finite particle number and
hadronic rescattering of the final state leads to large event-by-event
fluctuations in the observables that could be used to characterize the features
of the initial state. This makes event engineering by final state selection
difficult.


title:
A remark on the number of invisible directions for a smooth Riemannian
  metric

abstract:
  In this note we give a construction of a smooth Riemannian metric on R^n
which is standard Euclidean outside a compact set K and such that it has N =
n(n + 1)=2 invisible directions, meaning that all geodesics lines passing
through the set K in these directions remain the same straight lines on exit.
For example in the plane our construction gives three invisible directions.
This is in contrast with billiard type obstacles where a very sophisticated
example due to A.Plakhov and V.Roshchina gives 2 invisible directions in the
plane and 3 in the space. We use reflection group of the root system An in
order to make the directions of the roots invisible.


title:
Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless
  transition in 2D Nonlinear Schr\"{o}dinger model

abstract:
  We analyse the Bose-Einstein condensation process and the
Berezinskii-Kosterlitz-Thouless phase transition within the Gross-Pitaevskii
model and their interplay with wave turbulence theory. By using numerical
experiments we study how the condensate fraction and the first order
correlation function behave with respect to the mass, the energy and the size
of the system. By relating the free-particle energy to the temperature we are
able to estimate the Berezinskii-Kousterlitz-Thouless transition temperature.
Below this transition we observe that for a fixed temperature the superfluid
fraction appears to be size-independent leading to a power-law dependence of
the condensate fraction with respect to the system size.


title:
Isogeometric cohesive elements for two and three dimensional composite
  delamination analysis

abstract:
  Isogeometric cohesive elements are presented for modeling two and three
dimensional delaminated composite structures. We exploit the knot insertion
algorithm offered by NURBS (Non Uniform Rational B-splines) to generate
cohesive elements along delamination planes in an automatic fashion. A complete
computational framework is presented including pre-processing, processing and
post-processing. They are explained in details and implemented in MIGFEM--an
open source Matlab Isogemetric Analysis code developed by the authors. The
composite laminates are modeled using both NURBS solid and shell elements.
Several two and three dimensional examples ranging from standard delamination
tests (the mixed mode bending test), the L-shaped specimen with a fillet, three
dimensional (3D) double cantilever beam and a 3D singly curved thick-walled
laminate are provided. To the authors' knowledge, it is the first time that
NURBS-based isogeometric analysis for two/three dimensional delamination
modeling is presented. For all examples considered, the proposed framework
outperforms conventional Lagrange finite elements.


title:
New features of ion acoustic waves in inhomogeneous and permeating
  plasmas

abstract:
  It is generally accepted that the ion acoustic (IA) wave in plasmas
containing ions and electrons with the same temperature is of minor importance
due to strong damping of the wave by hot resonant ions. In this work it will be
shown that the IA wave is susceptible to excitation even in plasmas with hot
ions when both an electromagnetic transverse wave and a background density
gradient are present in the plasma, and in addition the wave is in fact
unstable (i.e., growing) in the case of permeating homogeneous plasmas. The
multi-component fluid theory is used to describe the IA wave susceptibility for
excitation in inhomogeneous plasmas and its coupling with electromagnetic
waves. The growing IA wave in permeating homogeneous plasmas is described by
the kinetic theory. In plasmas with density and temperature gradients the IA
wave is effectively coupled with the electromagnetic waves. In comparison to
ordinary IA wave in homogeneous plasma, the Landau damping of the present wave
is much smaller, and to demonstrate this effect a simple but accurate fluid
model is presented for the Landau damping. In the case of permeating plasmas, a
kinetic mechanism for the current-less IA wave instability is presented, with a
very low threshold for excitation as compared with ordinary
electron-current-driven kinetic instability. Such growing IA waves can
effectively heat plasma in the upper solar atmosphere by a stochastic heating
mechanism presented in the work. The results of this work suggest that the IA
wave role in the heating of the solar atmosphere (chromosphere and corona)
should be reexamined.


title:
A continuous/discontinuous Galerkin method and a priori error estimates
  for the biharmonic problem on surfaces

abstract:
  We present a continuous/discontinuous Galerkin method for approximating
solutions to a fourth order elliptic PDE on a surface embedded in
$\mathbb{R}^3$. A priori error estimates, taking both the approximation of the
surface and the approximation of surface differential operators into account,
are proven in a discrete energy norm and in $L^2$-norm. This can be seen as an
extension of the formalism and method originally used by Dziuk [14] for
approximating solutions to the Laplace-Beltrami problem, and within this
setting this is the first analysis of a surface finite element method
formulated using higher order surface differential operators. Using a polygonal
approximation $\Gamma_h$ of an implicitly defined surface $\Gamma$ we employ
continuous piecewise quadratic finite elements to approximate solutions to the
biharmonic equation on $\Gamma$. Numerical examples on the sphere and on the
torus confirm the convergence rate implied by our estimates.


title:
Can Human-Like Bots Control Collective Mood: Agent-Based Simulations of
  Online Chats

abstract:
  Using agent-based modeling approach, in this paper, we study self-organized
dynamics of interacting agents in the presence of chat Bots. Different Bots
with tunable ``human-like'' attributes, which exchange emotional messages with
agents, are considered, and collective emotional behavior of agents is
quantitatively analysed. In particular, using detrended fractal analysis we
determine persistent fluctuations and temporal correlations in time series of
agent's activity and statistics of avalanches carrying emotional messages of
agents when Bots favoring positive/negative affects are active. We determine
the impact of Bots and identify parameters that can modulate it. Our analysis
suggests that, by these measures, the emotional Bots induce collective emotion
among interacting agents by suitably altering the fractal characteristics of
the underlying stochastic process.Positive-emotion Bots are slightly more
effective than the negative ones. Moreover, the Bots which are periodically
alternating between positive and negative emotion, can enhance fluctuations in
the system leading to the avalanches of agent's messages that are reminiscent
of self-organized critical states.


title:
On the metallicity distribution of classical Cepheids in the Galactic
  inner disk

abstract:
  We present homogeneous and accurate iron abundances for almost four dozen
(47) of Galactic Cepheids using high-spectral resolution (R$\sim$40,000) high
signal-to-noise ratio (S/N $\ge$ 100) optical spectra collected with UVES at
VLT. A significant fraction of the sample (32) is located in the inner disk (RG
$le$ 6.9 kpc) and for half of them we provide new iron abundances. Current
findings indicate a steady increase in iron abundance when approaching the
innermost regions of the thin disk. The metallicity is super-solar and ranges
from 0.2 dex for RG $\sim$ 6.5 kpc to 0.4 dex for RG $\sim$ 5.5 kpc. Moreover,
we do not find evidence of correlation between iron abundance and distance from
the Galactic plane. We collected similar data available in the literature and
ended up with a sample of 420 Cepheids. Current data suggest that the mean
metallicity and the metallicity dispersion in the four quadrants of the
Galactic disk attain similar values. The first-second quadrants show a more
extended metal-poor tail, while the third-fourth quadrants show a more extended
metal-rich tail, but the bulk of the sample is at solar iron abundance.
Finally, we found a significant difference between the iron abundance of
Cepheids located close to the edge of the inner disk ([Fe/H]$\sim$0.4) and
young stars located either along the Galactic bar or in the nuclear bulge
([Fe/H]$\sim$0). Thus suggesting that the above regions have had different
chemical enrichment histories. The same outcome applies to the metallicity
gradient of the Galactic bulge, since mounting empirical evidence indicates
that the mean metallicity increases when moving from the outer to the inner
bulge regions.


title: A faster FPT algorithm for Bipartite Contraction

abstract:
  The \textsc{Bipartite Contraction} problem is to decide, given a graph $G$
and a parameter $k$, whether we can can obtain a bipartite graph from $G$ by at
most $k$ edge contractions. The fixed-parameter tractability of the problem was
shown by [Heggernes et al. 2011], with an algorithm whose running time has
double-exponential dependence on $k$. We present a new randomized FPT algorithm
for the problem, which is both conceptually simpler and achieves an improved
$2^{O(k^2)} n m$ running time, i.e., avoiding the double-exponential dependence
on $k$. The algorithm can be derandomized using standard techniques.


title: Time Estimation Model of Concurrent Computing Systems

abstract:
  We consider an asynchronous system with transitions corresponding to the
instructions of a computer system. For each instruction, a runtime is given. We
propose a mathematical model, allowing us to construct an algorithm for finding
the minimum time of the parallel process with a given trace. We consider a
problem of constructing a parallel process which transforms the initial state
to given and has the minimum execution time. We show that it is reduced to the
problem of finding the shortest path in a directed graph with edge lengths
equal to 1.


title: R-Charged Black Holes and Holographic Optics

abstract:
  We analyze momentum dependent vector modes in the context of gauge theories
dual to R-charged black holes in $D=4$, $5$ and $7$. For a variety of examples,
the master variables are constructed, for which the linearized equations for
the perturbations decouple. These allow for the computation of momentum
dependent correlation functions. Away from the hydrodynamic limit, numerical
analysis using the decoupled equations of motion is used to obtain the
analogues of the Depine-Lakhtakia (DL) index. For specified ranges of
frequencies, a negative index of refraction is seen to occur in all cases.


title: Magnetic fields in nearby normal galaxies: Energy equipartition

abstract:
  We present maps of total magnetic field using 'equipartition' assumptions for
five nearby normal galaxies at sub-kpc spatial resolution. The mean magnetic
field is found to be ~11 \mu G. The field is strongest near the central regions
where mean values are ~20--25 \mu G and falls to ~15 \mu G in disk and ~10 \mu
G in the outer parts. There is little variation in the field strength between
arm and interarm regions, such that, in the interarms, the field is < 20
percent weaker than in the arms. There is no indication of variation in
magnetic field as one moves along arm or interarm after correcting for the
radial variation of magnetic field. We also studied the energy densities in
gaseous and ionized phases of the interstellar medium and compared to the
energy density in the magnetic field. The energy density in the magnetic field
was found to be similar to that of the gas within a factor of <2 at sub-kpc
scales in the arms, and thus magnetic field plays an important role in pressure
balance of the interstellar medium. Magnetic field energy density is seen to
dominate over the kinetic energy density of gas in the interarm regions and
outer parts of the galaxies and thereby helps in maintaining the large scale
ordered fields seen in those regions.


title:
Supersymmetry for Gauged Double Field Theory and Generalised
  Scherk-Schwarz Reductions

abstract:
  Previous constructions of supersymmetry for double field theory have relied
on the so called strong constraint. In this paper, the strong constraint is
relaxed and the theory is shown to possess supersymmetry once the generalised
Scherk-Schwarz reduction is imposed. The equivalence between the generalised
Scherk-Schwarz reduced theory and the gauged double field theory is then
examined in detail for the supersymmetric theory. As a byproduct we write the
generalised Killing spinor equations for the supersymmetric double field
theory.


title: Pulsed Electron Holography

abstract:
  A technique of pulsed low-energy electron holography is introduced that
allows for recording highly resolved holograms within reduced exposure times.
Therefore, stacks of holograms are accumulated in a pulsed mode with individual
acquisition times as short as 50 {\mu}s. Subsequently, these holograms are
aligned and finally superimposed. The resulting holographic record reveals
previously latent high-order interference fringes and thereby pushing
interference resolution into the sub-nanometer regime. In view of the
non-damaging character of low-energy electrons, the method is of particular
interest for structural analysis of fragile biomolecules.


title: Five Lectures on Projective Invariants

abstract:
  We introduce invariant rings for forms (homogeneous polynomials) and for d
points on the projective space, from the point of view of representation
theory. We discuss several examples, addressing some computational issues. We
introduce the graphical algebra for the invariants of d points on the line.
This is an expanded version of the notes for the School on Invariant Theory and
Projective Geometry, Trento, September 17-22, 2012.


title:
Non-trivial, non-negative periodic solutions of a system of
  singular-degenerate parabolic equations with nonlocal terms

abstract:
  We study the existence of non-trivial, non-negative periodic solutions for
systems of singular-degenerate parabolic equations with nonlocal terms and
satisfying Dirichlet boundary conditions. The method employed in this paper is
based on the Leray-Schauder topological degree theory. However, verifying the
conditions under which such a theory applies is more involved due to the
presence of the singularity. The system can be regarded as a possible model of
the interactions of two biological species sharing the same isolated territory,
and our results give conditions that ensure the coexistence of the two species.


title: Banach Algebras of Vector-valued Functions

abstract:
  We introduce the concept of an $E$-valued function algebra, a type of Banach
algebra that consist of continuous $E$-valued functions on some compact
Hausdorff space, where $E$ is a Banach algebra. We present some basic results
about such algebras, having to do with the Shilov boundary and the set of peak
points of some commutative $E$-valued function algebras. We give some specific
examples.


title:
Hybrid fuzzy logic and pid controller based ph neutralization pilot
  plant

abstract:
  Use of Control theory within process control industries has changed rapidly
due to the increase complexity of instrumentation, real time requirements,
minimization of operating costs and highly nonlinear characteristics of
chemical process. Previously developed process control technologies which are
mostly based on a single controller are not efficient in terms of signal
transmission delays, processing power for computational needs and signal to
noise ratio. Hybrid controller with efficient system modelling is essential to
cope with the current challenges of process control in terms of control
performance. This paper presents an optimized mathematical modelling and
advance hybrid controller (Fuzzy Logic and PID) design along with practical
implementation and validation of pH neutralization pilot plant. This procedure
is particularly important for control design and automation of Physico-chemical
systems for process control industry.


title:
Vortex filament method as a tool for computational visualization of
  quantum turbulence

abstract:
  Vortex filament model has become a standard and powerful tool to visualize
the motion of quantized vortices in helium superfluids. In this article, we
present an overview of the method and highlight its impact in aiding our
understanding of quantum turbulence, particularly superfluid helium. We present
an analysis of the structure and arrangement of quantized vortices. Our results
are in agreement with previous studies showing that under certain conditions,
vortices form coherent bundles, which allows for classical vortex stretching,
giving quantum turbulence a classical nature. We also offer an explanation for
differences between the observed properties of counterflow and pure superflow
turbulence in a pipe. Finally, we suggest a mechanism for the generation of
coherent structures in the presence of normal fluid shear.


title: Replication-based Inference Algorithms for Hard Computational Problems

abstract:
  Inference algorithms based on evolving interactions between replicated
solutions are introduced and analyzed on a prototypical NP-hard problem - the
capacity of the binary Ising perceptron. The efficiency of the algorithm is
examined numerically against that of the parallel tempering algorithm, showing
improved performance in terms of the results obtained, computing requirements
and simplicity of implementation.


title: Clustering Web Search Results For Effective Arabic Language Browsing

abstract:
  The process of browsing Search Results is one of the major problems with
traditional Web search engines for English, European, and any other languages
generally, and for Arabic Language particularly. This process is absolutely
time consuming and the browsing style seems to be unattractive. Organizing Web
search results into clusters facilitates users quick browsing through search
results. Traditional clustering techniques (data-centric clustering algorithms)
are inadequate since they don't generate clusters with highly readable names or
cluster labels. To solve this problem, Description-centric algorithms such as
Suffix Tree Clustering (STC) algorithm have been introduced and used
successfully and extensively with different adapted versions for English,
European, and Chinese Languages. However, till the day of writing this paper,
in our knowledge, STC algorithm has been never applied for Arabic Web Snippets
Search Results Clustering.In this paper, we propose first, to study how STC can
be applied for Arabic Language? We then illustrate by example that is
impossible to apply STC after Arabic Snippets pre-processing (stem or root
extraction) because the Merging process yields many redundant clusters.
Secondly, to overcome this problem, we propose to integrate STC in a new scheme
taking into a count the Arabic language properties in order to get the web more
and more adapted to Arabic users. The proposed approach automatically clusters
the web search results into high quality, and high significant clusters labels.
The obtained clusters not only are coherent, but also can convey the contents
to the users concisely and accurately. Therefore the Arabic users can decide at
a glance whether the contents of a cluster are of interest.....


title:
A search for ttbar resonances in the lepton plus jets final state with
  ATLAS using 4.7 fb^-1 of pp collisions at sqrt(s) = 7 TeV

abstract:
  A search for new particles that decay into top quark pairs (ttbar) is
performed with the ATLAS experiment at the LHC using an integrated luminosity
of 4.7 fb^-1 of proton-proton (pp) collision data collected at a center-of-mass
energy sqrt(s)=7 TeV. In the ttbar --> WbWb decay, the lepton plus jets final
state is used, where one W boson decays leptonically and the other
hadronically. The ttbar system is reconstructed using both small-radius and
large-radius jets, the latter being supplemented by a jet substructure
analysis. A search for local excesses in the number of data events compared to
the Standard Model expectation in the ttbar invariant mass spectrum is
performed. No evidence for a ttbar resonance is found and 95% credibility-level
limits on the production rate are determined for massive states predicted in
two benchmark models. The upper limits on the cross section times branching
ratio of a narrow Z' resonance range from 5.1 pb for a boson mass of 0.5 TeV to
0.03 pb for a mass of 3 TeV. A narrow leptophobic topcolor Z' resonance with a
mass below 1.74 TeV is excluded. Limits are also derived for a broad
color-octet resonance with Gamma/m = 15.3%. A Kaluza-Klein excitation of the
gluon in a Randall-Sundrum model is excluded for masses below 2.07 TeV.


title:
On the autonomous metric on groups of Hamiltonian diffeomorphisms of
  closed hyperbolic surfaces

abstract:
  Let $\Sigma_g$ be a closed hyperbolic surface of genus $g$ and let
$Ham(\Sigma_g)$ be the group of Hamiltonian diffeomorphisms of $\Sigma_g$. The
most natural word metric on this group is the autonomous metric. It has many
interesting properties, most important of which is the bi-invariance of this
metric. In this work we show that $Ham(\Sigma_g)$ is unbounded with respect to
this metric.


title: Using Page Size for Controlling Duplicate Query Results in Semantic Web

abstract:
  Semantic web is a web of future. The Resource Description Framework (RDF) is
a language to represent resources in the World Wide Web. When these resources
are queried the problem of duplicate query results occurs. The present
techniques used hash index comparison to remove duplicate query results. The
major drawback of using the hash index to remove duplicate query results is
that, if there is a slight change in formatting or word order, then hash index
is changed and query results are no more considered as duplicate even though
they have same contents. We presented an algorithm for detection and
elimination of duplicate query results from semantic web using hash index and
page size comparisons. Experimental results showed that the proposed technique
removed duplicate query results from semantic web efficiently, solved the
problems of using hash index for duplicate handling and could be embedded in
existing SQL-Based query system for semantic web. Research could be carried out
for certain flexibilities in existing SQL-Based query system of semantic web to
accommodate other duplicate detection techniques as well.


title:
An interatomic potential for saturated hydrocarbons based on the
  modified embedded-atom method

abstract:
  In this work, we developed an interatomic potential for saturated
hydrocarbons using the modified embedded-atom method (MEAM), a reactive
semi-empirical many-body potential based on density functional theory and pair
potentials. We parameterized the potential by fitting to a large experimental
and first-principles (FP) database consisting of 1) bond distances, bond
angles, and atomization energies at 0 K of a homologous series of alkanes and
their select isomers from methane to n-octane, 2) the potential energy curves
of H$_2$, CH, and C$_2$ diatomics, 3) the potential energy curves of hydrogen,
methane, ethane, and propane dimers, i.e., (H$_2$)$_2$, (CH$_4$)$_2$,
(C$_2$H$_6$)$_2$, and (C$_3$H$_8$)$_2$, respectively, and 5)
pressure-volume-temperature (PVT) data of a dense high-pressure methane system
with the density of 0.5534 g/cc. We compared the atomization energies and
geometries of a range of linear alkanes, cycloalkanes, and free radicals
calculated from the MEAM potential to those calculated by other commonly used
reactive potentials for hydrocarbons, i.e., second-generation reactive
empirical bond order (REBO) and reactive force field (ReaxFF). MEAM reproduced
the experimental and/or FP data with accuracy comparable to or better than REBO
or ReaxFF. The experimental PVT data for a relatively large series of methane,
ethane, propane, and butane systems with different densities were predicted
reasonably well by MEAM. Although the MEAM formalism has been applied to atomic
systems with predominantly metallic bonding in the past, the current work
demonstrates the promising extension of the MEAM potential to covalently bonded
molecular systems, specifically saturated hydrocarbons and saturated
hydrocarbon-based polymers.


title: On a new class of systems of generalized quasy-variational inequalities

abstract:
  We introduce new types of systems of generalized quasi-variational
inequalities and we prove the existence of the solutions by using results of
pair equilibrium existence for free abstract economies. We consider the fuzzy
models and we also introduce the random free abstract economy and the random
equilibrium pair. The existence of the solutions for the systems of
quasi-variational inequalities comes as consequences of the existence of
equilibrium pairs for the considered free abstract economies.


title:
Mass entrainment and turbulence-driven acceleration of ultra-high energy
  cosmic rays in Centaurus A

abstract:
  Observations of the FR I radio galaxy Centaurus A in radio, X-ray and
gamma-ray bands provide evidence for lepton acceleration up to several TeV and
clues about hadron acceleration to tens of EeV. Synthesising the available
observational constraints on the physical conditions and particle content in
the jets, inner lobes and giant lobes of Centaurus A, we aim to evaluate its
feasibility as an ultra-high-energy cosmic-ray source. We apply several methods
of determining jet power and affirm the consistency of various power estimates
of ~ 1 x 10^43 erg s^-1. Employing scaling relations based on previous results
for 3C 31, we estimate particle number densities in the jets, encompassing
available radio through X-ray observations. Our model is compatible with the
jets ingesting ~ 3 x 10^21 g s^-1 of matter via external entrainment from hot
gas and ~ 7 x 10^22 g s^-1 via internal entrainment from jet-contained stars.
This leads to an imbalance between the internal lobe pressure available from
radiating particles and magnetic field, and our derived external pressure.
Based on knowledge of the external environments of other FR I sources, we
estimate the thermal pressure in the giant lobes as 1.5 x 10^-12 dyn cm^-2,
from which we deduce a lower limit to the temperature of ~ 1.6 x 10^8 K. Using
dynamical and buoyancy arguments, we infer ~ 440-645 Myr and ~ 560 Myr as the
sound-crossing and buoyancy ages of the giant lobes respectively, inconsistent
with their spectral ages. We re-investigate the feasibility of particle
acceleration via stochastic processes in the lobes, placing new constraints on
the energetics and on turbulent input to the lobes. The same 'very hot'
temperatures that allow self-consistency between the entrainment calculations
and the missing pressure also allow stochastic UHECR acceleration models to
work.


title: Open quantum systems and Dicke superradiance

abstract:
  We study generic features of open quantum systems embedded into a continuum
of scattering wavefunctions and compare them with results discussed in optics.
A dynamical phase transition may appear at high level density in a many-level
system and also in a two-level system if the coupling $W$ to the environment is
complex and sufficiently large. Here nonlinearities occur. When $W_{ij}$ is
imaginary, two singular (exceptional) points may exist. In the parameter range
between these two points, width bifurcation occurs as function of a certain
external parameter. A unitary representation of the S-matrix allows to
calculate the cross section for a two-level system, including at the
exceptional point (double pole of the S-matrix). The results obtained for the
transition of level repulsion at small (real) $W_{ij}$ to width bifurcation at
large (imaginary) $W_{ij}$ show qualitatively the same features that are
observed experimentally in the transition from Autler-Townes splitting to
electromagnetically induced transparency in optics. Fermi's golden rule holds
only below the dynamical phase transition while it passes into an anti-golden
rule beyond this transition. The results are generic and can be applied to the
response of a complex open quantum system to the action of an external field
(environment). They may be considered as a guideline for engineering and
manipulating quantum systems in such a way that they can be used for
applications with special requirements.


title: Quantum Error Correction Implementation after Multiple Gates

abstract:
  Correcting errors is a vital but expensive component of fault tolerant
quantum computation. Standard fault tolerant protocol assumes the
implementation of error correction, via syndrome measurements and possible
recovery operations, after every quantum gate. In fact, this is not necessary.
Here we demonstrate that error correction should be applied more sparingly. We
simulate encoded single-qubit rotations within the [[7,1,3]] code and show via
fidelity measures that applying error correction after every gate is not
desirable.


title: Algebraic Aspects in Tropical Mathematics

abstract:
  Much like in the theory of algebraic geometry, we develop a correspondence
between certain types of algebraic and geometric objects. The basic algebraic
environment we work in is the a semifield of fractions H(x1,...,xn) of the
polynomial semidomain H[x1,...,xn], where H is taken to be an idempotent
semifield, while for the geometric environment we have the space H^n. We show
that taking H to be idempotent makes both H(x1,...,xn) and Hn idempotent which
turn out to satisfy many desired properties that we utilize for our
construction. The fundamental algebraic and geometric objects having
interrelations are called kernels, encapsulating congruences over semifields
and skeletons which serve as the analog for zero-sets of algebraic geometry. As
an analog for the celebrated Nullstellenzats theorem, we develop a
correspondence between skeletons and a family of kernels called polars
originally developed in the theory of lattice-ordered groups. For a special
kind of skeletons, called principal skeletons, we have simplified the
correspondence by restricting our algebraic environment to a certain kernel of
H(x1,...,xn). After establishing the linkage between kernels and skeletons we
proceed to construct a second linkage, this time between a family of skeletons
and what we call "corner-loci". Essentially a corner locus is what is called a
tropical variety in the theory of tropical geometry, which is a set of corner
roots of some set of tropical polynomials. A skeleton and a corner-locus define
the exact same subset of H^n in different ways: while a corner locus is defined
by corner roots of tropical polynomials, the skeleton is defined by equating
fractions from H(x1,...,xn) to 1. All the connections presented above form a
path connecting a tropical variety to a certain kind of kernel.


title: Coloring distance graphs: a few answers and many questions

abstract:
  Given a metric space and a set of distances, one constructs the associated
distance graph by taking as vertices the points of the space and as edges the
pairs whose distance is in the given set. It is a longstanding open question to
determine the chromatic number of the graph obtained from the Euclidean plane
and a set reduced to one distance. Surprisingly, while many variants of this
problem have been studied, only a few non-Euclidean spaces seem to have been
seriously considered. In this paper, we consider the planar
translation-invariant metrics and the hyperbolic plane. We answer questions of
Johnson and Szlam, prove a few other results, and ask many questions.


title:
Convergence in law implies convergence in total variation for
  polynomials in independent Gaussian, Gamma or Beta random variables

abstract:
  Consider a sequence of polynomials of bounded degree evaluated in independent
Gaussian, Gamma or Beta random variables. We show that, if this sequence
converges in law to a nonconstant distribution, then (i) the limit distribution
is necessarily absolutely continuous with respect to the Lebesgue measure and
(ii) the convergence automatically takes place in the total variation topology.
Our proof, which relies on the Carbery-Wright inequality and makes use of a
diffusive Markov operator approach, extends the results of \cite{NP} to the
Gamma and Beta cases.


title: Stochastic Differential Games and Energy-Efficient Power Control

abstract:
  One of the contributions of this work is to formulate the problem of
energy-efficient power control in multiple access channels (namely, channels
which comprise several transmitters and one receiver) as a stochastic
differential game. The players are the transmitters who adapt their power level
to the quality of their time-varying link with the receiver, their battery
level, and the strategy updates of the others. The proposed model not only
allows one to take into account long-term strategic interactions but also
long-term energy constraints. A simple sufficient condition for the existence
of a Nash equilibrium in this game is provided and shown to be verified in a
typical scenario. As the uniqueness and determination of equilibria are
difficult issues in general, especially when the number of players goes large,
we move to two special cases: the single player case which gives us some useful
insights of practical interest and allows one to make connections with the case
of large number of players. The latter case is treated with a mean-field game
approach for which reasonable sufficient conditions for convergence and
uniqueness are provided. Remarkably, this recent approach for large system
analysis shows how scalability can be dealt with in large games and only relies
on the individual state information assumption.


title: Mean-field Evolution of Fermionic Systems

abstract:
  The mean field limit for systems of many fermions is naturally coupled with a
semiclassical limit. This makes the analysis of the mean field regime much more
involved, compared with bosonic systems. In this paper, we study the dynamics
of initial data close to a Slater determinant, whose reduced one-particle
density is an orthogonal projection $\omega_N$ with the appropriate
semiclassical structure. Assuming some regularity of the interaction potential,
we show that the evolution of such an initial data remains close to a Slater
determinant, with reduced one-particle density given by the solution of the
Hartree-Fock equation with initial data $\omega_N$. Our result holds for all
(semiclassical) times, and gives effective bounds on the rate of the
convergence towards the Hartree-Fock dynamics.


title: Impact of dispersal on the stability of metapopulations

abstract:
  Dispersal is a key ecological process, that enables local populations to form
spatially extended systems called metapopulations. In the present study, we
investigate how dispersal affects the linear stability of a general
single-species metapopulation model. We discuss both the influence of local
within-patch dynamics and the effects of various dispersal behaviors on
stability. We find that positive density-dependent dispersal and positive
density-dependent settlement are destabilizing dispersal behaviors while
negative density-dependent dispersal and negative density-dependent settlement
are stabilizing. It is also shown that dispersal has a stabilizing impact on
heterogeneous metapopulations that correlates positively with the number of
patches and the connectance of metapopulation networks.


title:
Personal Information Privacy Settings of Online Social Networks and
  their Suitability for Mobile Internet Devices

abstract:
  Protecting personal information privacy has become a controversial issue
among online social network providers and users. Most social network providers
have developed several techniques to decrease threats and risks to the users
privacy. These risks include the misuse of personal information which may lead
to illegal acts such as identity theft. This study aims to measure the
awareness of users on protecting their personal information privacy, as well as
the suitability of the privacy systems which they use to modify privacy
settings. Survey results show high percentage of the use of smart phones for
web services but the current privacy settings for online social networks need
to be improved to support different type of mobile phones screens. Because most
users use their mobile phones for Internet services, privacy settings that are
compatible with mobile phones need to be developed. The method of selecting
privacy settings should also be simplified to provide users with a clear
picture of the data that will be shared with others. Results of this study can
be used to develop a new privacy system which will help users control their
personal information easily from different devices, including mobile Internet
devices and computers.


title: Estimates on the distance of inertial manifolds

abstract:
  In this paper we obtain estimates on the distance of inertial manifolds for
dynamical systems generated by evolutionary parabolic type equations. We
consider the situation where the systems are defined in different phase spaces
and we estimate the distance in terms of the distance of the resolvent
operators of the corresponding elliptic operators and the distance of the
nonlinearities of the equations.


title: OBDD-Based Representation of Interval Graphs

abstract:
  A graph $G = (V,E)$ can be described by the characteristic function of the
edge set $\chi_E$ which maps a pair of binary encoded nodes to 1 iff the nodes
are adjacent. Using \emph{Ordered Binary Decision Diagrams} (OBDDs) to store
$\chi_E$ can lead to a (hopefully) compact representation. Given the OBDD as an
input, symbolic/implicit OBDD-based graph algorithms can solve optimization
problems by mainly using functional operations, e.g. quantification or binary
synthesis. While the OBDD representation size can not be small in general, it
can be provable small for special graph classes and then also lead to fast
algorithms. In this paper, we show that the OBDD size of unit interval graphs
is $O(\ | V \ | /\log \ | V \ |)$ and the OBDD size of interval graphs is $O(\
| V \ | \log \ | V \ |)$ which both improve a known result from Nunkesser and
Woelfel (2009). Furthermore, we can show that using our variable order and node
labeling for interval graphs the worst-case OBDD size is $\Omega(\ | V \ | \log
\ | V \ |)$. We use the structure of the adjacency matrices to prove these
bounds. This method may be of independent interest and can be applied to other
graph classes. We also develop a maximum matching algorithm on unit interval
graphs using $O(\log \ | V \ |)$ operations and a coloring algorithm for unit
and general intervals graphs using $O(\log^2 \ | V \ |)$ operations and
evaluate the algorithms empirically.


title:
Structural stability for bang--singular--bang extremals in the minimum
  time problem

abstract:
  In this paper we study the structural stability of a bang-singular-bang
extremal in the minimum time problem between fixed points. The dynamics is
single-input and control-affine.
  On the nominal problem ($r = 0$), we assume the coercivity of a suitable
second variation along the singular arc and regularity both of the bang arcs
and of the junction points, thus obtaining the strict strong local optimality
for the given bang-singular-bang extremal trajectory. Moreover, as in the
classically studied regular cases, we assume a suitable controllability
property, which grants the uniqueness of the adjoint covector.
  Under these assumptions we prove that, for any sufficiently small $r$, there
is a bang-singular-bang extremal trajectory which is a strict strong local
optimiser for the $r$-problem. A uniqueness result in a neighbourhood of the
graph of the nominal extremal pair is also obtained.
  The results are proven via the Hamiltonian approach to optimal control and by
taking advantage of the implicit function theorem, so that a sensitivity
analysis could also be carried out.


title:
New Geometric Flows on Riemannian Manifolds and Applications to
  Schr\"odinger-Airy Flows

abstract:
  In this paper, we define a class of new geometric flows on a complete
Riemannian manifold. The new flow is related to the generalized (third order)
Landau-Lifishitz equation. On the other hand it could be thought of a special
case of the Schr\"odinger-Airy flow when the target manifold is a K\"ahler
manifold with constant holomorphic sectional curvature. We show the local
existence of the new flow on a complete Riemannian manifold with some
assumptions on Ricci tensor. Moreover, if the target manifolds are Einstein or
some certain type of locally symmetric spaces, we obtain the global results.


title: Explicit Traveling Waves and Invariant Algebraic Curves

abstract:
  In this paper we introduce a precise definition of algebraic traveling wave
solution for general n-th order partial differential equations. All examples of
explicit traveling waves known by the authors fall in this category. Our main
result proves that algebraic traveling waves exist if and only if an associated
n- dimensional first order ordinary differential system has some invariant
algebraic curve. As a paradigmatic application we prove that, for the
celebrated Fisher- Kolmogorov equation, the only algebraic traveling waves
solutions are the ones found in 1979 by Ablowitz and Zeppetella. To the best of
our knowledge, this is the first time that this type of results have been
obtained.


title:
Predicting a User's Next Cell With Supervised Learning Based on Channel
  States

abstract:
  Knowing a user's next cell allows more efficient resource allocation and
enables new location-aware services. To anticipate the cell a user will
hand-over to, we introduce a new machine learning based prediction system.
Therein, we formulate the prediction as a classification problem based on
information that is readily available in cellular networks. Using only Channel
State Information (CSI) and handover history, we perform classification by
embedding Support Vector Machines (SVMs) into an efficient pre-processing
structure. Simulation results from a Manhattan Grid scenario and from a
realistic radio map of downtown Frankfurt show that our system provides timely
prediction at high accuracy.


title: Fingerprints in Compressed Strings

abstract:
  The Karp-Rabin fingerprint of a string is a type of hash value that due to
its strong properties has been used in many string algorithms. In this paper we
show how to construct a data structure for a string $S$ of size $N$ compressed
by a context-free grammar of size $n$ that answers fingerprint queries. That
is, given indices $i$ and $j$, the answer to a query is the fingerprint of the
substring $S[i,j]$. We present the first O(n) space data structures that answer
fingerprint queries without decompressing any characters. For Straight Line
Programs (SLP) we get $O(\log N)$ query time, and for Linear SLPs (an SLP
derivative that captures LZ78 compression and its variations) we get $O(\log
\log N)$ query time. Hence, our data structures has the same time and space
complexity as for random access in SLPs. We utilize the fingerprint data
structures to solve the longest common extension problem in query time $O(\log
N \log \lce)$ and $O(\log \lce \log\log \lce + \log\log N)$ for SLPs and Linear
SLPs, respectively. Here, $\lce$ denotes the length of the LCE.


title: Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor

abstract:
  The unclear relationship between cuprate superconductivity and the pseudogap
state remains an impediment to understanding the high transition temperature
(Tc) superconducting mechanism. Here we employ magnetic-field-dependent
scanning tunneling microscopy to provide phase-sensitive proof that d-wave
superconductivity coexists with the pseudogap on the antinodal Fermi surface of
an overdoped cuprate. Furthermore, by tracking the hole doping (p) dependence
of the quasiparticle interference pattern within a single Bi-based cuprate
family, we observe a Fermi surface reconstruction slightly below optimal
doping, indicating a zero-field quantum phase transition in notable proximity
to the maximum superconducting Tc. Surprisingly, this major reorganization of
the system's underlying electronic structure has no effect on the smoothly
evolving pseudogap.


title:
Pellet fuelling of plasmas with ELM mitigation by resonant magnetic
  perturbations in MAST

abstract:
  Shallow fuelling pellets are injected from the high field side into plasmas
in which ELMs have been mitigated using external magnetic perturbation coils.
The data are compared with ideal assumptions in the ITER fuelling model, namely
that mitigated ELMs are not affected by fuelling pellets. Firstly it is shown
that during the pellet evaporation an ELM is triggered, during which the amount
particle loss could be larger (factor ~1.5) than the particle loss during an
ELM which was not induced by pellet. Secondly, a favourable example is shown in
which post-pellet particle losses due to mitigated ELMs are similar to the
non-pellet case, however unfavourable counter-examples also exist.


title: Magnetic screening in high-energy heavy-ion collisions

abstract:
  We show that classical chromomagnetic fields produced coherently in the
initial stage of a heavy-ion collision exhibit screening. From the two-point
field strength correlator we determine the magnetic mass for SU(2) to be m ~ 5
times the saturation scale. Magnetic screening leads to an intuitive
understanding of the area law scaling of spatial Wilson loops observed
previously. The presence of screening effects in the initial state provides a
basis for defining kinetic processes in the early stage of heavy-ion
collisions, with electric and magnetic masses of the same order.


title:
Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills
  theory

abstract:
  We study the S-matrix of planar $\mathcal{N}=4$ supersymmetric Yang-Mills
theory when external momenta are restricted to a two-dimensional subspace of
Minkowski space. We find significant simplifications and new, interesting
structures for tree and loop amplitudes in two-dimensional kinematics; in
particular, the higher-point amplitudes we consider can be obtained from those
with lowest-points by a collinear uplifting. Based on a compact formula for
one-loop N${}^2$MHV amplitudes, we use an equation proposed previously to
compute, for the first time, the complete two-loop NMHV and three-loop MHV
octagons, which we conjecture to uplift to give the full $n$-point amplitudes
up to simpler logarithmic terms or dilogarithmic terms.


title:
On the appearance of a Dirac delta term at the origin in the
  Schroedinger radial equation

abstract:
  We revisit a recent discussion about the boundary condition at the origin in
the Schroedinger radial equation for central potentials. Using a slight
modification of the usual spherical coordinates, the origin of a previously
reported Dirac delta function term at the origin is clearly shown up. As a
consequence, a vanishing boundary condition at the origin must be imposed in
solving the radial equation, regardless the kind of potential.


title: Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels

abstract:
  Inspired by the Solovay-Kitaev decomposition for approximating unitary
operations as a sequence of operations selected from a universal quantum
computing gate set, we introduce a method for approximating any single-qubit
channel using single-qubit gates and the controlled-NOT (CNOT). Our approach
uses the decomposition of the single-qubit channel into a convex combination of
"quasiextreme" channels. Previous techniques for simulating general
single-qubit channels would require as many as 20 CNOT gates, whereas ours only
needs one, bringing it within the range of current experiments.


title: Lattice points in polytopes, box splines, and Todd operators

abstract:
  Let $X$ be a list of vectors that is totally unimodular. In a previous
article the author proved that every real-valued function on the set of
interior lattice points of the zonotope defined by $X$ can be extended to a
function on the whole zonotope of the form $p(D)B_X$ in a unique way, where
$p(D)$ is a differential operator that is contained in the so-called internal
$\Pcal$-space. In this paper we construct an explicit solution to this
interpolation problem in terms of Todd operators. As a corollary we obtain a
slight generalisation of the Khovanskii-Pukhlikov formula that relates the
volume and the number of integer points in a smooth lattice polytope.


title: Searches for strong dynamics signals in gauge boson pair production

abstract:
  I briefly review the construction of the effective field theory of a
nonlinearly realized electroweak symmetry breaking and apply it to the study of
gauge boson pair production. I will consider WW, ZZ and \gamma Z production at
linear colliders as reference illustrative examples. I will show that in all
cases a consistent effective field theory treatment allows to encode the
dominant new physics effects entirely as gauge-fermion vertex corrections. From
naive dimensional analysis one expects these corrections to be at the per mille
level. However, they grow with energy, such that at TeV colliders (LHC and
futures linear collider facilities) these new physics effects can easily amount
to 20% corrections to the production cross sections.


title:
Cohomogeneity One Coassociative Submanifolds in the Bundle of
  Anti-self-dual 2-forms over the 4-sphere

abstract:
  Coassociative submanifolds are 4-dimensional calibrated submanifolds in
$G_{2}$-manifolds. In this paper, we construct explicit examples of
coassociative submanifolds in $\Lambda^{2}_{-} S^{4}$, which is the complete
$G_{2}$-manifold constructed by Bryant and Salamon. Classifying the Lie groups
which have 3- or 4-dimensional orbits, we show that the only homogeneous
coassociative submanifold is the zero section of $\Lambda^{2}_{-} S^{4}$ up to
the automorphisms and construct many cohomogeneity one examples explicitly. In
particular, we obtain examples of non-compact coassociative submanifolds with
conical singularities and their desingularizations.


title:
TAU: A 1D radiative transfer code for transmission spectroscopy of
  extrasolar planet atmospheres

abstract:
  The TAU code is a 1D line-by-line radiative transfer code, which is generally
applicable for modelling transmission spectra of close-in extrasolar planets.
The inputs are the assumed pressure-temperature profile of the planetary
atmosphere, the continuum absorption coefficients and the absorption
cross-sections for the trace molecular absorbers present in the model, as well
as the fundamental system parameters taken from the published literature. The
program then calculates the optical path through the planetary atmosphere of
the radiation from the host star, and quantifies the absorption due to the
modelled composition in a transmission spectrum of transit depth as a function
of wavelength. The code is written in C++, parallelised using OpenMP, and is
available for public download and use from http://www.ucl.ac.uk/exoplanets/.


title: HRF estimation improves sensitivity of fMRI encoding and decoding models

abstract:
  Extracting activation patterns from functional Magnetic Resonance Images
(fMRI) datasets remains challenging in rapid-event designs due to the inherent
delay of blood oxygen level-dependent (BOLD) signal. The general linear model
(GLM) allows to estimate the activation from a design matrix and a fixed
hemodynamic response function (HRF). However, the HRF is known to vary
substantially between subjects and brain regions. In this paper, we propose a
model for jointly estimating the hemodynamic response function (HRF) and the
activation patterns via a low-rank representation of task effects.This model is
based on the linearity assumption behind the GLM and can be computed using
standard gradient-based solvers. We use the activation patterns computed by our
model as input data for encoding and decoding studies and report performance
improvement in both settings.


title:
Phaseless Signal Recovery in Infinite Dimensional Spaces using
  Structured Modulations

abstract:
  This paper considers the recovery of continuous signals in infinite
dimensional spaces from the magnitude of their frequency samples. It proposes a
sampling scheme which involves a combination of oversampling and modulations
with complex exponentials. Sufficient conditions are given such that almost
every signal with compact support can be reconstructed up to a unimodular
constant using only its magnitude samples in the frequency domain. Finally it
is shown that an average sampling rate of four times the Nyquist rate is enough
to reconstruct almost every time-limited signal.


title:
The effect of ionization on the populations of excited levels of C IV
  and C V in tokamak edge plasmas

abstract:
  The main populating and depopulating mechanisms of the excited energy levels
of ions in plasmas with densities <1023-1024 m-3 are electron collisional
excitation from the ion's ground state and radiative decay, respectively, with
the majority of the electron population being in the ground state of the
ionization stage. Electron collisional ionization is predominately expected to
take place from one ground state to that of the next higher ionization stage.
However, the question arises as to whether, in some cases, ionization can also
affect the excited level populations. This would apply particularly to those
cases involving transient events such as impurity influxes in a laboratory
plasma. An analysis of the importance of ionization in populating the excited
levels of ions in plasmas typical of those found in the edge of tokamaks is
undertaken for the C IV and C V ionization stages. The emphasis is on those
energy levels giving rise to transitions of most use for diagnostic purposes.
Carbon is chosen since it is an important contaminant of JET plasmas; it was
the dominant low Z impurity before the installation of the ITER-like wall and
is still present in the plasma after its installation. Direct electron
collisional ionization both from and to excited levels is considered.
Distorted-wave Flexible Atomic Code calculations are performed to generate the
required ionization cross sections, due to a lack of atomic data in the
literature.


title:
From Predicting Solar Activity to Forecasting Space Weather: Practical
  Examples of Research-to-Operations and Operations-to-Research

abstract:
  The successful transition of research to operations (R2O) and operations to
research (O2R) requires, above all, interaction between the two communities. We
explore the role that close interaction and ongoing communication played in the
successful fielding of three separate developments: an observation platform, a
numerical model, and a visualization and specification tool. Additionally, we
will examine how these three pieces came together to revolutionize
interplanetary coronal mass ejection (ICME) arrival forecasts. A discussion of
the importance of education and training in ensuring a positive outcome from
R2O activity follows. We describe efforts by the meteorological community to
make research results more accessible to forecasters and the applicability of
these efforts to the transfer of space-weather research.We end with a
forecaster "wish list" for R2O transitions. Ongoing, two-way communication
between the research and operations communities is the thread connecting it
all.


title:
Statefinder diagnosis for the extended holographic Ricci dark energy
  model without and with interaction

abstract:
  We apply the statefinder diagnostic to the extended holographic Ricci dark
energy (ERDE) model without and with interaction to study their behaviors. We
plot the trajectories of various parameters for different cases. It is shown
that the non-interacting model does not reach the LCDM point $\{1,0\}$ and the
interacting one is favored, because the interaction makes the evolution of the
statefinder pair $\{r,s\}$ quite different.


title:
OH (1720 MHz) Masers: A Multiwavelength Study of the Interaction between
  the W51C Supernova Remnant and the W51B Star Forming Region

abstract:
  We present a comprehensive view of the W51B HII region complex and the W51C
supernova remnant (SNR) using new radio observations from the VLA, VLBA,
MERLIN, JCMT, and CSO along with archival data from Spitzer, ROSAT, ASCA, and
Chandra. Our VLA data include the first 400 cm (74 MHz) continuum image of W51
at high resolution (88 arcsec). The 400 cm image shows non-thermal emission
surrounding the G49.2-0.3 HII region, and a compact source of non-thermal
emission (W51B_NT) coincident with the previously-identified OH (1720 MHz)
maser spots, non-thermal 21 and 90 cm emission, and a hard X-ray source.
W51B_NT falls within the region of high likelihood for the position of TeV
gamma-ray emission. Using the VLBA three OH (1720 MHz) maser spots are detected
in the vicinity of W51B_NT with sizes of 60 to 300 AU and Zeeman effect
magnetic field strengths of 1.5 to 2.2 mG. The multiwavelength data demonstrate
that the northern end of the W51B HII region complex has been partly enveloped
by the advancing W51C SNR and this interaction explains the presence of W51B_NT
and the OH masers. This interaction also appears in the thermal molecular gas
which partially encircles W51B_NT and exhibits narrow pre-shock (DeltaV 5 km/s)
and broad post-shock (DeltaV 20 km/s) velocity components. RADEX radiative
transfer modeling of these two components yield physical conditions consistent
with the passage of a non-dissociative C-type shock. Confirmation of the
W51B/W51C interaction provides additional evidence in favor of this region
being one of the best candidates for hadronic particle acceleration known thus
far.


title:
Coherent dynamical recoupling of diffusion-driven decoherence in
  magnetic resonance

abstract:
  During recent years, dynamical decoupling (DD) has gained relevance as a tool
for manipulating quantum systems and extracting information from them. This is
particularly relevant for spins involved in nuclear magnetic resonance (NMR),
where DD sequences can be used to prolong quantum coherences, or for
selectively couple/decouple the effects imposed by random environmental
fluctuations. In this Letter, we show that one can exploit these concepts in
order to selectively recouple diffusion processes in restricted spaces. The
ensuing method provides a novel tool to measure restriction lengths in confined
systems such as capillaries, pores or cells. The principles of this method for
selectively recoupling diffusion-driven decoherence, its standing within the
context of diffusion NMR, and corroborating experiments, are presented.


title:
Generation of Neutrino mass from new physics at TeV scale and
  Multi-lepton Signatures at the LHC

abstract:
  In this paper we consider generation of naturally small neutrino masses from
a dimension-7 operator. Such a term can arise in presence of a scalar
quadruplet and a pair of vector-like fermion triplets and enables one to obtain
small neutrino masses through TeV scale linear seesaw mechanism. We study the
phenomenology of the charged scalars of this model, in particular, the
multi-lepton signatures at the Large Hadron Collider. Of special importance are
the presence of the same-sign-tri-lepton signatures originating from the
triply-charged scalars. The Standard Model background for such processes is
small and hence this is considered as smoking gun signal of new physics. We
also looked for events with three, four, five and six-leptons which have
negligible contamination from the Standard Model. We further point out the
spectacular lepton flavour violating four-lepton signal which can be the
hallmark for these type of models. We also compute the added contributions in
the rate for the Standard Model Higgs decaying to two photons via the charged
scalars in this model.


title: Tiling simply connected regions with rectangles

abstract:
  In [BNRR], it was shown that tiling of general regions with two rectangles is
NP-complete, except for a few trivial special cases. In a different direction,
R\'emila showed that for simply connected regions by two rectangles, the
tileability can be solved in quadratic time (in the area). We prove that there
is a finite set of at most 10^6 rectangles for which the tileability problem of
simply connected regions is NP-complete, closing the gap between positive and
negative results in the field. We also prove that counting such rectangular
tilings is #P-complete, a first result of this kind.


title:
Bulk Cluster Decomposition in AdS/CFT and A No-Go Theorem for
  Correlators in Microstates of Extremal Black Holes

abstract:
  Applying the thermo-field double formalism to extremal black holes in AdS
with a macroscopic horizon, we show that (1) there exists a natural basis for
the degenerate microstates of an extremal black hole, and (2) cluster
decomposition in the bulk implies that all correlators are exactly the same for
every microstate of the extremal black hole. The latter statement can be
interpreted in two ways. First, at the fully non-perturbative level of AdS/CFT
at finite N, it means that cluster decomposition does not hold in the bulk.
This may be viewed as a sharp manifestation of the bulk non-locality at finite
N. Second, at the level of the perturbation theory in 1/N, in which case we
expect the bulk cluster decomposition, no measurement of either boundary
operators or bulk field operators can distinguish the different microstates.
The latter interpretation may exclude some versions of the fuzzball conjecture
that assert that different microstates of a black hole are realized in the bulk
as different metric and field configurations.


title: Individual Addressing in Quantum Computation through Spatial Refocusing

abstract:
  Separate addressing of individual qubits is a challenging requirement for
scalable quantum computation, and crosstalk between operations on neighboring
qubits remains as a significant source of noise for current experimental
implementation of multi-qubit platforms. We propose a scheme based on spatial
refocusing from interference of several coherent laser beams to significantly
reduce the crosstalk noise for any type of quantum gates. A general framework
is developed for the spatial refocusing technique, in particular with practical
Gaussian beams, and we show under typical experimental conditions, the
crosstalk-induced infidelity of quantum gates can be reduced by several orders
of magnitude with a moderate cost of a few correction laser beams.


title: Linking and closed orbits

abstract:
  We show that the Lagrangian of classical mechanics on a Riemannian manifold
of bounded geometry carries a periodic solution of motion with rescribed
energy, provided the potential satisfies an asymptotic growth condition,
changes sign, and the negative set of the potential is non-trivial in the
relative homology.


title: Subtracted Geometry from Harrison Transformations: II

abstract:
  We extend our previous study (arXiv:1203.5088) to the case of
five-dimensional multi-charge black holes, thus showing that these
configurations and their subtracted geometries also lie in a 3d duality orbit.
In order to explore the 3d duality orbit, we do a timelike reduction from 5d to
4d and a spacelike reduction from 4d to 3d. We present our analysis in the
notation of Euclidean N=2 supergravity and its c-map. We also relate our
analysis to that of Cveti\v{c}, Guica, and Saleem.


title: Quantization Noise Shaping for Information Maximizing ADCs

abstract:
  ADCs sit at the interface of the analog and digital worlds and fundamentally
determine what information is available in the digital domain for processing.
This paper shows that a configurable ADC can be designed for signals with non
constant information as a function of frequency such that within a fixed power
budget the ADC maximizes the information in the converted signal by frequency
shaping the quantization noise. Quantization noise shaping can be realized via
loop filter design for a single channel delta sigma ADC and extended to common
time and frequency interleaved multi channel structures. Results are presented
for example wireline and wireless style channels.


title: Elementary spacetime cycles

abstract:
  Every system in physics is described in terms of interacting elementary
particles characterized by modulated spacetime recurrences. These intrinsic
periodicities, implicit in undulatory mechanics, imply that every free particle
is a reference clock linking time to the particle's mass, and every system is
formalizable by means of modulated elementary spacetime cycles. We propose a
novel consistent relativistic formalism based on intrinsically cyclic spacetime
dimensions, encoding the quantum recurrences of elementary particles into
spacetime geometrodynamics. The advantage of the resulting theory is a formal
derivation of quantum behaviors from relativistic mechanics, in which the
constraint of intrinsic periodicity turns out to quantize the elementary
particles; as well as a geometrodynamical description of gauge interaction
which, similarly to gravity, turns out to be represented by relativistic
modulations of the internal clocks of the elementary particles. The
characteristic classical to quantum correspondence of the theory brings novel
conceptual and formal elements to address fundamental open questions of modern
physics.


title: The kHz QPOs of Neutron Stars and Millisecond Pulsars and Implications

abstract:
  The kilohertz quasi-periodic oscillations (kHz QPOs) have been found in
neutron star low mass X-ray binaries (NS-LMXBs), which present the millisecond
timing phenomena close to the surface of the compact objects. We briefly
summarize the following contents: (1). The correlations and distributions of
twin kHz QPOs; (2). The relations of high-low frequency QPOs; (3). The QPO
properties of NS Atoll and Z sources; (4). No clear direct correlations between
NS spins and QPOs; (5). The mechanisms of kHz QPOs; (6). The implications of
kHZ QPOs, e.g., NS mass and radius, disk thickness and magnetic field of Atoll
and Z source.


title: ALICE status and plans

abstract:
  The ALICE experiment has been running successfully since 2010 and made an
impressive progress towards understanding of hot and dense QCD matter produced
in heavy ion collisions at LHC energies. Recent results on identified particle
spectra, azimuthal anisotropy, heavy flavour and quarkonium production in Pb-Pb
collisions at sqrt(s_NN) = 2.76 TeV are presented. First results on p-Pb
collisions and ALICE upgrade plans are briefly reviewed.


title: A new characterization of geodesic spheres in the Hyperbolic space

abstract:
  This paper gives a new characterization of geodesic spheres in the hyperbolic
space in terms of a ``weighted'' higher order mean curvature. Precisely, we
show that a compact hypersurface $\Sigma^{n-1}$ embedded in $\H^n$ with $VH_k$
being constant for some $k=1,\cdots,n-1$ is a centered geodesic sphere. Here
$H_k$ is the $k$-th normalized mean curvature of $\Sigma$ induced from $\H^n$
and $V=\cosh r$, where $r$ is a hyperbolic distance to a fixed point in $\H^n$.
Moreover, this result can be generalized to a compact hypersurface $\Sigma$
embedded in $\H^n$ with the ratio
$V\left(\frac{H_k}{H_j}\right)\equiv\mbox{constant},\;0\leq j< k\leq n-1$ and
$H_j$ not vanishing on $\Sigma$.


title:
Even-parity spin-triplet pairing for orbitally degenerate correlated
  electrons by purely repulsive interactions

abstract:
  We demonstrate the stability of a spin-triplet paired s-wave (with an
admixture of extended s-wave) state for the case of purely repulsive
interactions in a degenerate two-band Hubbard model. We further show that near
half-filling the considered kind of superconductivity can coexist with
antiferromagnetism. The calculations have been carried out with the use of the
so-called statistically consistent Gutzwiller approximation for the case of a
square lattice. The absence of a stable paired state when analyzed in the
Hartree-Fock-BCS approximation allows us to claim that the electron
correlations in conjunction with the Hund's rule exchange play the crucial role
in stabilizing the spin-triplet superconducting state. A sizable hybridization
of the bands suppresses the paired state.


title:
Questions on accreting mass and minimum magnetic field of millisecond
  pulsars

abstract:
  About 0.2 solar mass is absorbed by the millisecond pulsar (MSP) at the
binary accretion phase, while the polar magnetic field of MSP is diluted to a
magnitude of order 108.5 Gauss, which is proportionally related to the mass
accretion rate. It is found that the minimum magnetic field of MSP can be as
low as 107 Gauss if the accretion rate of the binary system reaches its the
minimum value of 1015 g/s. This bottom field has nothing to do with the MSP
initial field. Some questions on MPSs are proposed and answered.


title: Recent status of the Dark Matter search with Edelweiss

abstract:
  The Edelweiss experiment uses Ge-bolometers with an improved background
rejection (interleaved electrode design) to search for WIMP dark matter. The
setup is located in the underground laboratory, Laboratoire Souterrain de
Modane (LSM, France). In 2009-2010 the collaboration successfully operated ten
400-g bolometers together with an active muon veto shielding. Published
analysis of this measurement campaign was optimized for WIMP masses above 50
GeV. Recently, the analysis was extended to the low-mass WIMP region using a
quality subset of the 2009-2010 data setting new limits on the spin-independent
WIMP-nucleon scattering cross-section. We present the low-mass WIMP analysis,
background investigations and the latest measurements with a subset of the
forty 800-g detectors that will be installed for the Edelweiss-III. Ongoing
installation works of the Edelweiss-III setup and further plans for a next
generation experiment, EURECA, are discussed.


title: Aspects of String Cosmology

abstract:
  We review recent progress in string cosmology, where string dualities are
applied so as to obtain complete cosmological evolutions, free of any essential
singularities. Two classes of models are analyzed. The first class consists of
string gas cosmologies associated to certain thermal configurations of type II
N=(4,0) models. Finite temperature is introduced along with non-trivial
"gravito-magnetic" fluxes that lift the Hagedorn instabilities of the canonical
ensemble and restore thermal T-duality symmetry. At a critical maximal
temperature additional thermal states become massless sourcing stringy
S-branes, which facilitate a bounce between the two dual, asymptotically cold
phases. Unlike previous incarnations of pre-Big Bang cosmologies, the models
remain perturbative throughout the cosmological evolution. The second class
consists of exact solutions to classical string theory that admit a Euclidean
description in terms of compact parafermionic worldsheet systems. The Euclidean
target space corresponds to a non-singular, compact T-fold, which can be used
to construct a normalizable Hartle-Hawking wavefunction for the cosmology.


title: On the characterization of some classes of proximally smooth sets

abstract:
  We provide a complete characterization of closed sets with empty interior and
positive reach in $\mathbb{R}^2$. As a consequence, we characterize open
bounded domains in $\mathbb{R}^2$ whose high ridge and cut locus agree, and
hence $C^1$ planar domains whose normal distance to the cut locus is constant
along the boundary. The latter results extends to convex domains in
$\mathbb{R}^n$.