title:
Freezing a Quantum Magnet by Repeated Quantum Interference: An
  Experimental Realization

abstract:
  We experimentally demonstrate the phenomenon of dynamical many-body freezing
in a periodically driven Ising chain. Theoretically [Phys. Rev. B 82, 172402
(2010)], for certain values of the drive parameters all fundamental degrees of
freedom contributing to the response dynamics freeze for all time and for
arbitrary initial states. Also, since the condition of freezing involves only
the drive parameters and not on the quantization of the momentum (i.e., the
system-size), our simulation with a small (3-spin) chain captures all salient
features of the freezing phenomenon predicted for the infinite chain. Using
optimal control techniques, we realize high-fidelity cosine modulated drive,
and observe non-monotonic freezing of magnetization at specific frequencies of
modulation. Time-evolution of the excitations in momentum space has been
tracked directly through magnetization measurements.


title:
Single molecule NMR detection and spectroscopy using single spins in
  diamond

abstract:
  Nanomagnetometry using the nitrogen-vacancy (NV) centre in diamond has
attracted a great deal of interest because of the combined features of room
temperature operation, nanoscale resolution and high sensitivity. One of the
important goals for nano-magnetometry is to be able to detect nanoscale nuclear
magnetic resonance (NMR) in individual molecules. Our theoretical analysis
shows how a single molecule at the surface of diamond, with characteristic NMR
frequencies, can be detected using a proximate NV centre on a time scale of
order seconds with nanometer precision. We perform spatio-temporal resolution
optimisation and also outline paths to greater sensitivity. In addition, the
method is suitable for application in low and relatively inhomogeneous
background magnetic fields in contrast to both conventional liquid and solid
state NMR spectroscopy.


title:
Three-dimensional Simulations of Pure Deflagration Models for
  Thermonuclear Supernovae

abstract:
  We present a systematic study of the pure deflagration model of Type Ia
supernovae using three-dimensional, high-resolution, full-star hydrodynamical
simulations, nucleosynthetic yields calculated using Lagrangian tracer
particles, and light curves calculated using radiation transport. We evaluate
the simulations by comparing their predicted light curves with many observed
SNe Ia using the SALT2 data-driven model and find that the simulations may
correspond to under-luminous SNe Iax. We explore the effects of the initial
conditions on our results by varying the number of randomly selected ignition
points from 63 to 3500, and the radius of the centered sphere they are confined
in from 128 to 384 km. We find that the rate of nuclear burning depends on the
number of ignition points at early times, the density of ignition points at
intermediate times, and the radius of the confining sphere at late times. The
results depend primarily on the number of ignition points, but we do not expect
this to be the case in general. The simulations with few ignition points
release more nuclear energy $E_{\mathrm{nuc}}$, have larger kinetic energies
$E_{\mathrm{K}}$, and produce more $^{56}$Ni than those with many ignition
points, and differ in the distribution of $^{56}$Ni, Si, and C/O in the ejecta.
For these reasons, the simulations with few ignition points exhibit higher peak
B-band absolute magnitudes $M_\mathrm{B}$ and light curves that rise and
decline more quickly; their $M_\mathrm{B}$ and light curves resemble those of
under-luminous SNe Iax, while those for simulations with many ignition points
are not.


title:
External magnetic fields and the chiral phase transition in QED at
  nonzero chemical potential

abstract:
  Inspired by recent discussions of inverse magnetic catalysis in the
literature, we examine the effects of a uniform external magnetic field on the
chiral phase transition in quenched ladder QED at nonzero chemical potential.
In particular, we study the behaviour of the effective potential as the
strength of the magnetic field is varied while the chemical potential is held
constant. For a certain range of the magnetic field, the effective potential
develops a local maximum. Inverse magnetic catalysis is observed at this
maximum, whereas the usual magnetic catalysis is observed at the true minimum
of the effective potential.


title: On forward and backward SPDEs with non-local boundary conditions

abstract:
  We study linear stochastic partial differential equations of parabolic type
with non-local in time or mixed in time boundary conditions. The standard
Cauchy condition at the terminal time is replaced by a condition that mixes the
random values of the solution at different times, including the terminal time,
initial time and continuously distributed times. For the case of backward
equations, this setting covers almost surely periodicity. Uniqueness,
solvability and regularity results for the solutions are obtained. Some
possible applications to portfolio selection are discussed.


title:
Enhancement in the Figure of Merit of p-type BiSb alloys through
  multiple valence-band doping

abstract:
  N-type Bi100-xSbx alloys have the highest thermoelectric figure of merit (zT)
of all materials below 200K; here we investigate how filling multiple valence
band pockets at T and H-points of the Brillouin zone produces high zT in p-type
Sn-doped material. This approach, theoretically predicted to potentially give
zT>1 in Bi, was used successfully in PbTe. We report thermopower, electrical
and thermal conductivity (2 to 400K) of single crystals with 12<x<37 and
polycrystals (x=50-90), higher Sb concentrations than previous studies. We
obtain a 60% improvement in zT to 0.13.


title: A Novel Architecture for Relevant Blog Page Identifcation

abstract:
  Blogs are undoubtedly the richest source of information available in
cyberspace. Blogs can be of various natures i.e. personal blogs which contain
posts on mixed issues or blogs can be domain specific which contains posts on
particular topics, this is the reason, they offer wide variety of relevant
information which is often focused. A general search engine gives back a huge
collection of web pages which may or may not give correct answers, as web is
the repository of information of all kinds and a user has to go through various
documents before he gets what he was originally looking for, which is a very
time consuming process. So, the search can be made more focused and accurate if
it is limited to blogosphere instead of web pages. The reason being that the
blogs are more focused in terms of information. So, User will only get related
blogs in response to his query. These results will be then ranked according to
our proposed method and are finally presented in front of user in descending
order


title: Fano manifolds with weak almost K\"ahler-Ricci solitons

abstract:
  In this paper, we prove that a sequence of weak almost K\"ahler-Ricci
solitons under further suitable conditions converge to a K\"ahler-Ricci soliton
with complex codimension of singularities at least 2 in the Gromov-Hausdorff
topology. As a corollary, we show that on a Fano manifold with the modified
K-energy bounded below, there exists a sequence of weak almost K\"ahler-Ricci
solitons which converge to a K\"ahler-Ricci soliton with complex codimension of
singularities at least 2 in the Gromov-Hausdorff topology.


title:
Nichols algebras over classical Weyl groups, Fomin-Kirillov algebras and
  Lyndon basis

abstract:
  We show that except in several cases conjugacy classes of classical Weyl
groups $W(B_n)$ and $W(D_n)$ are of type {\rm D}. We prove that except in three
cases Nichols algebras of irreducible Yetter-Drinfeld ({\rm YD} in short
)modules over the classical Weyl groups are infinite dimensional. We establish
the relationship between Fomin-Kirillov algebra $\mathcal E_n$ and Nichols
algebra $\mathfrak{B} ({\mathcal O}_{{(1, 2)}} , \epsilon \otimes {\rm sgn})$
of transposition over symmetry group by means of quiver Hopf algebras. We
generalize {\rm FK } algebra. The characteristic of finiteness of Nichols
algebras in thirteen ways and of {\rm FK } algebras ${\mathcal E}_n$ in nine
ways is given. All irreducible representations of finite dimensional Nichols
algebras %({\rm FK } algebras ${\mathcal E}_n$) and a complete set of hard
super- letters of Nichols algebras of finite Cartan types are found. The
sufficient and necessary condition for Nichols algebra $\mathfrak B(M)$ of
reducible {\rm YD} module $M$ over $A \rtimes \mathbb{S}_n$ with ${\rm supp }
(M) \subseteq A$ to be finite dimensional is given. % Some conditions for a
braided vector space to become a {\rm YD} module over finite commutative group
are obtained. It is shown that hard braided Lie Lyndon word, standard Lyndon
word, Lyndon basis path, hard Lie Lyndon word and standard Lie Lyndon word are
the same with respect to $ \mathfrak B(V)$, Cartan matrix $A_c$ and $U(L^+)$,
respectively, where $V$ and $L$ correspond to the same finite Cartan matrix
$A_c$.


title: Addressing Security Challenges in Cloud Computing

abstract:
  Cloud computing is a new computing paradigm which allows sharing of resources
on remote server such as hardware, network, storage using internet and provides
the way through which application, computing power, computing infrastructure
can be delivered to the user as a service. Cloud computing unique attribute
promise cost effective Information Technology Solution (IT Solution) to the
user. All computing needs are provided by the Cloud Service Provider (CSP) and
they can be increased or decreased dynamically as required by the user. As data
and Application are located at the server and may be beyond geographical
boundary, this leads a number of concern from the user prospective. The
objective of this paper is to explore the key issues of cloud computing which
is delaying its adoption.


title: Posterior Contraction Rates of the Phylogenetic Indian Buffet Processes

abstract:
  By expressing prior distributions as general stochastic processes,
nonparametric Bayesian methods provide a flexible way to incorporate prior
knowledge and constrain the latent structure in statistical inference. The
Indian buffet process (IBP) is such an example that can be used to define a
prior distribution on infinite binary features, where the exchangeability among
subjects is assumed. The phylogenetic Indian buffet process (pIBP), a
derivative of IBP, enables the modeling of non-exchangeability among subjects
through a stochastic process on a rooted tree, which is similar to that used in
phylogenetics, to describe relationships among the subjects. In this paper, we
study the theoretical properties of IBP and pIBP under a binary factor model.
We establish the posterior contraction rates for both IBP and pIBP and
substantiate the theoretical results through simulation studies. This is the
first work addressing the frequentist property of the posterior behaviors of
IBP and pIBP. We also demonstrated its practical usefulness by applying pIBP
prior to a real data example arising in the field of cancer genomics where the
exchangeability among subjects is violated.

categories: stat.ML math.ST q-bio.QM stat.AP stat.TH


title: An Information Theoretic Point of View to Contention Resolution

abstract:
  We consider a slotted wireless network in an infrastructure setup with a base
station (or an access point) and N users. The wireless channel gain between the
base station and the users is assumed to be i.i.d., and the base station seeks
to schedule the user with the highest channel gain in every slot (opportunistic
scheduling). We assume that the identity of the user with the highest channel
gain is resolved using a series of contention slots and with feedback from the
base station. In this setup, we formulate the contention resolution problem for
opportunistic scheduling as identifying a random threshold (channel gain) that
separates the best channel from the other samples. We show that the average
delay to resolve contention is related to the entropy of the random threshold.
We illustrate our formulation by studying the opportunistic splitting algorithm
(OSA) for i.i.d. wireless channel [9]. We note that the thresholds of OSA
correspond to a maximal probability allocation scheme. We conjecture that
maximal probability allocation is an entropy minimizing strategy and a delay
minimizing strategy for i.i.d. wireless channel. Finally, we discuss the
applicability of this framework for few other network scenarios.


title: Nonlocal interactions in a BEC: an Analogue Gravity perspective

abstract:
  We add a minimal correction term to the local Gross-Pitaevskii equation to
represent non-locality in the interactions. We show that the effective minimal
non-locality can make the healing length decrease more rapidly with the
increase of $s$-wave scattering length leaving the expression of the velocity
of sound unaltered. We discuss the implication of this result for a
Bose-Einstein Condensate (BEC) being used as an analogue gravity system. The
presented result is important in the context of condensed matter physics as
well because one can considerably change the size of a quantized vortex at
finite $s$-wave scattering length by tuning the healing length.


title: Maximum-Hands-Off Control and L1 Optimality

abstract:
  In this article, we propose a new paradigm of control, called a
maximum-hands-off control. A hands-off control is defined as a control that has
a much shorter support than the horizon length. The maximum-hands-off control
is the minimum-support (or sparsest) control among all admissible controls. We
first prove that a solution to an L1-optimal control problem gives a
maximum-hands-off control, and vice versa. This result rationalizes the use of
L1 optimality in computing a maximum-hands-off control. The solution has in
general the "bang-off-bang" property, and hence the control may be
discontinuous. We then propose an L1/L2-optimal control to obtain a continuous
hands-off control. Examples are shown to illustrate the effectiveness of the
proposed control method.


title: A Prototyping Environment for Integrated Artificial Attention Systems

abstract:
  Artificial visual attention systems aim to support technical systems in
visual tasks by applying the concepts of selective attention observed in humans
and other animals. Such systems are typically evaluated against ground truth
obtained from human gaze-data or manually annotated test images. When applied
to robotics, the systems are required to be adaptable to the target system.
Here, we describe a flexible environment based on a robotic middleware layer
allowing the development and testing of attention-guided vision systems. In
such a framework, the systems can be tested with input from various sources,
different attention algorithms at the core, and diverse subsequent tasks.


title:
Effect of self-interaction on the phase diagram of a Gibbs-like measure
  derived by a reversible Probabilistic Cellular Automata

abstract:
  Cellular Automata are discrete-time dynamical systems on a spatially extended
discrete space which provide paradigmatic examples of nonlinear phenomena.
Their stochastic generalizations, i.e., Probabilistic Cellular Automata (PCA),
are discrete time Markov chains on lattice with finite single-cell states whose
distinguishing feature is the \emph{parallel} character of the updating rule.
We study the ground states of the Hamiltonian and the low-temperature phase
diagram of the related Gibbs measure naturally associated with a class of
reversible PCA, called the \textit{cross PCA}. In such a model the updating
rule of a cell depends indeed only on the status of the five cells forming a
cross centered at the original cell itself. In particular, it depends on the
value of the center spin (\textit{self-interaction}). The goal of the paper is
that of investigating the role played by the self-interaction parameter in
connection with the ground states of the Hamiltonian and the low-temperature
phase diagram of the Gibbs measure associated with this particular PCA.


title:
Thermoelectric Effect of Correlated Metals - Band Structure Effects and
  the Breakdown of Mott's Formula

abstract:
  We study the thermoelectric effect of two-dimensional metals on a square
lattice within semiclassical Boltzmann transport theory with particular focus
on electron-electron scattering. We compute the electrical conductivity and the
Seebeck coefficient as a function of band filling and temperature for
generically chosen hopping parameters in a two-dimensional tight-binding model.
The Boltzmann equation is solved numerically after computing the full collision
integral, taking the angular and radial degrees of freedom into account. These
degrees of freedom of the collision integral, neglected in the standard
single-relaxation-time approximation, play an important role if the transport
coefficients show unconventional features. Within our detailed numerical
simulation, we show that the widely used Mott formula to compute the Seebeck
effect is not sufficient to describe the thermoelectric effect in the presence
of strong electron-electron scattering. Furthermore, we study the Seebeck
coefficient and its temperature dependence in the vicinity of a Lifshitz
transition and demonstrate that it shows remarkable parallels to transport
features near a quantum critical point.


title: A converse of the Gauss--Lucas theorem

abstract:
  All linear operators $L:\mathcal{C}[z]\to \mathcal{C}[z]$ which decrease the
diameter of the zero set of any $P\in\mathcal{C}[z]$ are found.


title:
Equidistribution on the space of rank two vector bundles over the
  projective line

abstract:
  Fix a finite field. A hyperelliptic curve determines a measure on the
discrete space of rank two bundles on the projective line: the mass of a given
vector bundle is the number of line bundles whose pushforward it is. In a
sequence of hyperelliptic curves whose genera tend to infinity, these measures
tend to the natural measure on the space of rank two bundles. This is a
function field analogue of Duke's theorem on the equidistribution of Heegner
points, and can be proven similarly: it follows from a manipulation of zeta
functions, plus the Riemann Hypothesis for curves.
  Likewise, a sequence of hyperelliptic curves equipped with line bundles gives
rise to a sequence of measures on the space of pairs of rank 2 bundles. We give
a conjectural classification of the possible limit measures which arise; this
is a function field analogue of the "Mixing Conjecture" of Michel and
Venkatesh. As in the number field setting, ergodic theory suffices when the
line bundle is sufficiently special.
  For the remaining bundles, we turn to geometry and count points on
intersections of translates of loci of special divisors in the Jacobian of a
hyperelliptic curve. To prove equidistribution, we would require two results.
The first, we prove: the upper cohomologies of these loci agree with the
cohomology of the Jacobian. The second, which we establish in characteristic
zero and conjecture in characteristic p, is that the sum of the Betti numbers
of these spaces grows at most as the exponential of the genus of the
hyperelliptic curve.


title:
Spontaneous parametric down-conversion photon sources are scalable in
  the asymptotic limit for boson-sampling

abstract:
  Boson-sampling has emerged as a promising avenue towards post-classical
optical quantum computation, and numerous elementary demonstrations have
recently been performed. Spontaneous parametric down-conversion (SPDC) is the
mainstay for single-photon state preparation, the technique employed in most
optical quantum information processing implementations to-date. Here we present
a simple architecture for boson-sampling based on multiplexed SPDC sources and
demonstrate that the architecture is limited only by the post-selection
detection efficiency assuming that other errors, such as spectral impurity,
dark counts, and interferometric instability are negligible. For any given
number of input photons, there exists a minimum detector efficiency that allows
post selection. If this efficiency is achieved, photon-number errors in the
SPDC sources are sufficiently low as to guarantee correct boson-sampling most
of the time. In this scheme the required detector efficiency must increase
exponentially in the photon number. Thus, we show that idealised SPDC sources
will not present a bottleneck for future boson-sampling implementations.
Rather, photodetection efficiency is the limiting factor and thus future
implementations may continue to employ SPDC sources.


title:
Detecting the historical roots of research fields by reference
  publication year spectroscopy (RPYS)

abstract:
  We introduce the quantitative method named "reference publication year
spectroscopy" (RPYS). With this method one can determine the historical roots
of research fields and quantify their impact on current research. RPYS is based
on the analysis of the frequency with which references are cited in the
publications of a specific research field in terms of the publication years of
these cited references. The origins show up in the form of more or less
pronounced peaks mostly caused by individual publications which are cited
particularly frequently. In this study, we use research on graphene and on
solar cells to illustrate how RPYS functions, and what results it can deliver.


title: On Finding a Subset of Healthy Individuals from a Large Population

abstract:
  In this paper, we derive mutual information based upper and lower bounds on
the number of nonadaptive group tests required to identify a given number of
"non defective" items from a large population containing a small number of
"defective" items. We show that a reduction in the number of tests is
achievable compared to the approach of first identifying all the defective
items and then picking the required number of non-defective items from the
complement set. In the asymptotic regime with the population size $N
\rightarrow \infty$, to identify $L$ non-defective items out of a population
containing $K$ defective items, when the tests are reliable, our results show
that $\frac{C_s K}{1-o(1)} (\Phi(\alpha_0, \beta_0) + o(1))$ measurements are
sufficient, where $C_s$ is a constant independent of $N, K$ and $L$, and
$\Phi(\alpha_0, \beta_0)$ is a bounded function of $\alpha_0 \triangleq
\lim_{N\rightarrow \infty} \frac{L}{N-K}$ and $\beta_0 \triangleq
\lim_{N\rightarrow \infty} \frac{K} {N-K}$. Further, in the nonadaptive group
testing setup, we obtain rigorous upper and lower bounds on the number of tests
under both dilution and additive noise models. Our results are derived using a
general sparse signal model, by virtue of which, they are also applicable to
other important sparse signal based applications such as compressive sensing.


title:
Rotation Curve and Mass Distribution in the Galactic Center --- From
  Black Hole to Entire Galaxy ---

abstract:
  Analyzing high-resolution longitude-velocity (LV) diagrams of the Galactic
Center observed with the Nobeyama 45-m telescope in the CO and CS line
emissions, we obtain a central rotation curve of the Milky Way. We combine it
with the data for the outer disk, and construct a logarithmic rotation curve of
the entire Galaxy. The new rotation curve covers a wide range of radius from r
~ 1 pc to several hundred kpc without a gap of data points. It links, for the
first time, the kinematical characteristics of the Galaxy from the central
black hole to the bulge, disk and dark halo. Using this grand rotation curve,
we calculate the radial distribution of surface mass density in the entire
Galaxy, where the radius and derived mass densities vary over a dynamical range
with several orders of magnitudes. We show that the galactic bulge is
deconvolved into two components: the inner (core) and main bulges. Both the two
bulge components are represented by exponential density profiles, but the de
Vaucouleurs law was found to fail in representing the mass profile of the
galactic bulge.


title:
Sparse Packetized Predictive Control for Networked Control over Erasure
  Channels

abstract:
  We study feedback control over erasure channels with packet-dropouts. To
achieve robustness with respect to packet-dropouts, the controller transmits
data packets containing plant input predictions, which minimize a finite
horizon cost function. To reduce the data size of packets, we propose to adopt
sparsity-promoting optimizations, namely, ell-1-ell-2 and ell-2-constrained
ell-0 optimizations, for which efficient algorithms exist. We derive sufficient
conditions on design parameters, which guarantee (practical) stability of the
resulting feedback control systems when the number of consecutive
packet-dropouts is bounded.


title: High Frequency top-down Junction-less Silicon Nanowire Resonators

abstract:
  We report here the first realization of top-down silicon nanowires (SiNW)
transduced by both junction-less field effect transistor (FET) and the
piezoresistive (PZR) effect. The suspended SiNWs are among the smallest
top-down SiNWs reported to date, featuring widths down to ~20nm. This has been
achieved thanks to a 200mm-wafer-scale, VLSI process fully amenable to
monolithic CMOS co-integration. Thanks to the very small dimensions, the
conductance of the silicon nanowire can be controlled by a nearby electrostatic
gate. Both the junction-less FET and the previously demonstrated PZR
transduction have been performed with the same SiNW. These self-transducing
schemes have shown similar signal-to-background ratios, and the PZR
transduction has exhibited a relatively higher output signal. Allan deviation
AD of the same SiNW has been measured with both schemes, and we obtain AD~20ppm
for the FET detection and AD~3ppm for the PZR detection at room temperature and
low pressure. Orders of magnitude improvements are expected from tighter
electrostatic control via changes in geometry and doping level, as well as from
CMOS integration. The compact, simple topology of these elementary SiNW
resonators opens up new paths towards ultra-dense arrays for gas and mass
sensing, time keeping or logic switching systems in SiNW-CMOS platform.


abstract:
  Instead of studying anyon condensation in concrete models, we take an
abstract approach. Assume that a system of anyons, which form a modular tensor
category D, is obtained via an anyon condensation from another system of anyons
(i.e. another modular tensor category C). By a bootstrap analysis, we derive
the relation between C and D from natural physical requirements. It turns out
that the tensor unit of D can be identified with a connected commutative
separable algebra A in C. The modular tensor category D consists of all
deconfined particles and can be identified with the category of local
$A$-modules in C. If this condensation occurs in a 2d region in the C-phase,
then it also produces a 1d gapped domain wall between the C-phase and the
D-phase. The confined and deconfined particles accumulate on the wall and form
a fusion category that is precisely the category of right A-modules in C. We
also consider condensations that are confined to a 1d line. We show how to
determine the algebra A from physical macroscopic data. We provide examples of
anyon condensation in the toric code model, Kitaev quantum double models and
Levin-Wen types of lattice models and in some chiral topological phases. In the
end, we briefly discuss Witt equivalence between 2d topological phases.
  We also attach to this paper an Erratum and Addendum to the original version
of "Anyon condensation and tensor categories" published in [Nucl. Phys. B 886
(2014) 436-482].


title:
$\mathscr{L}$-invariants and logarithm derivatives of eigenvalues of
  Frobenius

abstract:
  Let $K$ be a $p$-adic local field. In this work we study a special kind of
$p$-adic Galois representations of it. These representations are similar to the
Galois representations occurred in the exceptional zero conjecture for modular
forms. In particular, we verify that a formula of Colmez can be generalized to
our case. We also include a degenerated version of Colmez's formula.


title: Note on Bessaga-Klee classification

abstract:
  We collect several variants of the proof of the third case of the
Bessaga-Klee relative classification of closed convex bodies in topological
vector spaces. We were motivated by the fact that we have not found anywhere in
the literature a complete correct proof. In particular, we point out an error
in the proof given in the book of C.~Bessaga and A.~Pe\l czy\'nski (1975). We
further provide a simplified version of T.~Dobrowolski's proof of the smooth
classification of smooth convex bodies in Banach spaces which works
simultaneously in the topological case.


title: Distributive lattices and the poset of pre-projective tilting modules

abstract:
  D.Happel and L.Unger defined a partial order on the set of basic tilting
modules. We study the poset of basic pre-projective tilting modules over path
algebra of infinite type. We give an equivalent condition for that this poset
is a distributive lattice. We also give an equivalent condition for that a
distributive lattice is isomorphic to the poset of basic pre-projective tilting
modules over a path algebra of representation infinite type.


title:
Energy consistent discontinuous Galerkin methods for a
  quasi-incompressible diffuse two phase flow model

abstract:
  We design consistent discontinuous Galerkin finite element schemes for the
approximation of a quasi-incompressible two phase flow model of
Allen-Cahn/Cahn-Hilliard/Navier-Stokes-Korteweg type which allows for phase
transitions. We show that the scheme is mass conservative and monotonically
energy dissipative. In this case the dissipation is isolated to discrete
equivalents of those effects already causing dissipation on the continuous
level, that is, there is no artificial numerical dissipation added into the
scheme. In this sense the methods are consistent with the energy dissipation of
the continuous PDE system.


title: Late-replicating CNVs as a source of new genes

abstract:
  Asynchronous replication of the genome has been associated with different
rates of point mutation and copy number variation (CNV) in human populations.
Here, we explored if the bias in the generation of CNV that is associated to
DNA replication timing might have conditioned the birth of new protein-coding
genes during evolution. We show that genes that were duplicated during primate
evolution are more commonly found among the human genes located in
late-replicating CNV regions. We traced the relationship between replication
timing and the evolutionary age of duplicated genes. Strikingly, we found that
there is a significant enrichment of evolutionary younger duplicates in late
replicating regions of the human and mouse genome. Indeed, the presence of
duplicates in late replicating regions gradually decreases as the evolutionary
time since duplication extends. Our results suggest that the accumulation of
recent duplications in late replicating CNV regions is an active process
influencing genome evolution.


title: Critical Transitions in Social Network Activity

abstract:
  A large variety of complex systems in ecology, climate science, biomedicine
and engineering have been observed to exhibit tipping points, where the
internal dynamical state of the system abruptly changes. For example, such
critical transitions may result in the sudden change of ecological environments
and climate conditions. Data and models suggest that detectable warning signs
may precede some of these drastic events. This view is also corroborated by
abstract mathematical theory for generic bifurcations in stochastic multi-scale
systems. Whether the stochastic scaling laws used as warning signs are also
present in social networks that anticipate a-priori {\it unknown} events in
society is an exciting open problem, to which at present only highly
speculative answers can be given. Here, we instead provide a first step towards
tackling this formidable question by focusing on a-priori {\it known} events
and analyzing a social network data set with a focus on classical variance and
autocorrelation warning signs. Our results thus pertain to one absolutely
fundamental question: Can the stochastic warning signs known from other areas
also be detected in large-scale social network data? We answer this question
affirmatively as we find that several a-priori known events are preceded by
variance and autocorrelation growth. Our findings thus clearly establish the
necessary starting point to further investigate the relation between abstract
mathematical theory and various classes of critical transitions in social
networks.

categories: physics.soc-ph cs.SI nlin.AO physics.data-an


title: Diagnosing transient ionization in dynamic events

abstract:
  The present study aims to provide a diagnostic line ratio that will enable
the observer to determine whether a plasma is in a state of transient
ionization. We use the Atomic Data and Analysis Structure (ADAS) to calculate
line contribution functions for two lines, Si IV 1394 A and O IV 1401 A, formed
in the solar transition region. The generalized collisional-radiative theory is
used. It includes all radiative and electron collisional processes, except for
photon-induced processes. State-resolved direct ionization and recombination to
and from the next ionization stage are also taken into account. For dynamic
bursts with a decay time of a few seconds, the Si IV 1394 A line can be
enhanced by a factor of 2-4 in the first fraction of a second with the peak in
the line contribution function occurring initially at a higher electron
temperature due to transient ionization compared to ionization equilibrium
conditions. On the other hand, the O IV 1401 A does not show such any
enhancement. Thus the ratio of these two lines, which can be observed with the
Interface Region Imaging Spectrograph, can be used as a diagnostic of transient
ionization. We show that simultaneous high-cadence observations of two lines
formed in the solar transition region may be used as a direct diagnostic of
whether the observed plasma is in transient ionization. The ratio of these two
lines can change by a factor of four in a few seconds owing to transient
ionization alone.


title: Selective advantage of diffusing faster

abstract:
  We study a stochastic spatial model of biological competition in which two
species have the same birth and death rates, but different diffusion constants.
In the absence of this difference, the model can be considered as an
off-lattice version of the Voter model and presents similar coarsening
properties. We show that even a relative difference in diffusivity on the order
of a few percent may lead to a strong bias in the coarsening process favoring
the more agile species. We theoretically quantify this selective advantage and
present analytical formulas for the average growth of the fastest species and
its fixation probability.


title: Millimetre continuum observations of comet C/2009 P1 (Garradd)

abstract:
  Little is known about the physical properties of the nuclei of Oort cloud
comets. Measuring the thermal emission of a nucleus is one of the few means for
deriving its size and constraining some of its thermal properties. We attempted
to measure the nucleus size of the Oort cloud comet C/2009 P1 (Garradd). We
used the Plateau de Bure Interferometer to measure the millimetric thermal
emission of this comet at 157 GHz (1.9 mm) and 266 GHz (1.1 mm). Whereas the
observations at 266 GHz were not usable due to bad atmospheric conditions, we
derived a 3-sigma upper limit on the comet continuum emission of 0.41 mJy at
157 GHz. Using a thermal model for a spherical nucleus with standard thermal
parameters, we found an upper limit of 5.6 km for the radius. The dust
contribution to our signal is estimated to be negligible. Given the water
production rates measured for this comet and our upper limit, we estimated that
Garradd was very active, with an active fraction of its nucleus larger than
50%.


title:
On the O(1/k) Convergence of Asynchronous Distributed Alternating
  Direction Method of Multipliers

abstract:
  We consider a network of agents that are cooperatively solving a global
optimization problem, where the objective function is the sum of privately
known local objective functions of the agents and the decision variables are
coupled via linear constraints. Recent literature focused on special cases of
this formulation and studied their distributed solution through either
subgradient based methods with O(1/sqrt(k)) rate of convergence (where k is the
iteration number) or Alternating Direction Method of Multipliers (ADMM) based
methods, which require a synchronous implementation and a globally known order
on the agents. In this paper, we present a novel asynchronous ADMM based
distributed method for the general formulation and show that it converges at
the rate O(1/k).


title: Orientation of the cores of hybrid morphology radio sources

abstract:
  The FRI/FRII dichotomy is a much debated issue in the astrophysics of
extragalactic radio sources. Study of the properties of HYbrid MOrphology Radio
Sources (HYMORS) may bring crucial information and lead to a step forward in
understanding the origin of FRI/FRII dichotomy. HYMORS are a rare class of
double-lobed radio sources where each of the two lobes clearly exhibits a
different FR morphology. This article describes follow-up high resolution VLBA
observations of the five discovered by us HYMORS. The main aim of the
observations was to answer the questions of whether the unusual radio
morphology is connected to the orientation of objects towards the observer. We
obtained the high resolution radio maps of five hybrid radio morphology objects
with the VLBA at C-band and L-band. Two of them revealed milliarcsecond
core-jet structures, the next two objects showed hints of parsec-scale jets,
and the last one remained point-like at both frequencies. We compared
properties of observed milliarcsecond structures of hybrid sources with the
larger scale ones previously detected with the VLA. We find that on both scales
the fluxes of their central components are similar, which may indicate the lack
of additional emission in the proximity of the nucleus. This suggests that jets
present on the 1-10 kpc scale in those objects are FRII-like. When possible,
the detected core-jet structures were used for estimating the core's spatial
orientation. The result is that neither the FRI-like nor the FRII-like side is
preferred, which may suggest that no specific spatial orientation of HYMORS is
required to explain their radio morphology. Their estimated viewing angles
indicate they are unbeamed objects. The 178 MHz luminosity of observed HYMORS
exceed the traditional FRI/FRII break luminosity, indicating they have radio
powers similar to FRIIs.


title: Multi-Version Conflict Notion

abstract: This paper introduces the useful notion of Multi-Version Conflict notion.


title: Enhancing Java Call Control with Media Server Control functions

abstract:
  In this paper, we propose a novel abstraction layer for application service
implementation compliant with the Java Call Control (JCC) specifications. It
simplifies creation of multimedia services using the Session Initiation
Protocol (SIP) and the Media Gateway Control Protocol (MGCP). In order to show
its effectiveness, we have implemented a JCC Resource Adaptor for a JAIN
Service Logic Execution Environment (JSLEE), using the Mobicents application
server, which is the only existing open source JSLEE implementation.
Experimental results, obtained by implementing a complex VoIP service, show
both a significant simplification of service implementation and improved
performance over legacy solutions.


title:
Disordered Josephson junction chains: Anderson localization of normal
  modes and impedance fluctuations

abstract:
  We study the properties of the normal modes of a chain of Josephson junctions
in the simultaneous presence of disorder and absorption. We consider the
superconducting regime of small phase fluctuations and focus on the case where
the effects of disorder and absorption can be treated additively. We analyze
the frequency shift and the localization length of the modes. We also calculate
the distribution of the frequency-dependent impedance of the chain. The
distribution is Gaussian if the localization length is long compared to the
absorption length; it has a power law tail in the opposite limit.


title: For a few elements more: A survey of finite Rees index

abstract:
  This paper makes a comprehensive survey of results relating to finite Rees
index for semigroups. In particular, we survey of the state of knowledge on
whether various finiteness properties (such as finite generation, finite
presentability, automaticity, and hopficity) are inherited by finite Rees index
subsemigroups and extensions. We survey other properties that are invariant
under passing to finite Rees index subsemigroups and extensions, such as the
cofinality and number of ends. We prove some new results: inheritance of
word-hyperbolicity by finite Rees index subsemigroups, and inheritance of
(geometric) hyperbolicity by finite Rees index extensions and subsemigroups
within the class of monoids of finite geometric type. We also give some
improved counterexamples. All the results are summarized in a table.


title:
Uniqueness of charged static asymptotically flat black holes in
  dynamical Chern-Simons gravity

abstract:
  Making use of the conformal positive energy theorem we prove the uniqueness
of four-dimensional static electrically charged black holes being the solution
of Chern-Simons dynamical gravity equations of motion. We assume that black
hole spacetime contains an asymptotically flat spacelike hypersurface with
compact interior and non-degenerate components of the event horizon.


title: Liability-driven investment in longevity risk management

abstract:
  This paper studies optimal investment from the point of view of an investor
with longevity-linked liabilities. The relevant optimization problems rarely
are analytically tractable, but we are able to show numerically that liability
driven investment can significantly outperform common strategies that do not
take the liabilities into account. In problems without liabilities the
advantage disappears, which suggests that the superiority of the proposed
strategies is indeed based on connections between liabilities and asset
returns.


title:
A Characterization of the Natural Embedding of the Split Cayley Hexagon
  in PG(6,q) by Intersection Numbers in Finite Projective Spaces of Arbitrary
  Dimension

abstract:
  We prove that a non-empty set L of at most q^5+q^4+q^3+q^2+q+1 lines of PG(n,
q) with the properties that (1) every point of PG(n,q) is incident with either
0 or q+1 elements of L, (2) every plane plane of PG(n, q) is incident with
either 0, 1 or q+1 elements of L, (3) every solid of PG(n, q) is incident with
either 0, 1, q+1 or 2q+1 elements of L, and (4) every 4-dimensional subspace of
PG(n, q) is incident with at most q^3-q^2+4q elements of L, is necessarily the
set of lines of a split Cayley hexagon H(q) naturally embedded in PG(6, q).


title:
Maximum likelihood evidence for Neandertal admixture in Eurasian
  populations from three genomes

abstract:
  Although there has been much interest in estimating divergence and admixture
from genomic data, it has proven difficult to distinguish gene flow after
divergence from alternative histories involving structure in the ancestral
population. The lack of a formal test to distinguish these scenarios has
sparked recent controversy about the possibility of interbreeding between
Neandertals and modern humans in Eurasia. We derive the probability of
mutational configurations in non-recombining sequence blocks under alternative
histories of divergence with admixture and ancestral structure. Dividing the
genome into short blocks makes it possible to compute maximum likelihood
estimates of parameters under both models. We apply this method to triplets of
human Neandertal genomes and quantify the relative support for models of
long-term population structure in the ancestral African popuation and admixture
from Neandertals into Eurasian populations after their expansion out of Africa.
Our analysis allows us -- for the first time -- to formally reject a history of
ancestral population structure and instead reveals strong support for admixture
from Neandertals into Eurasian populations at a higher rate (3.4%-7.9%) than
suggested previously.


title: Parity dependent Josephson current through a helical Luttinger liquid

abstract:
  We consider a superconductor-two dimensional topological insulator-
superconductor junction (S-2DTI-S) and study how the 2{\pi}- and
4{\pi}-periodic Josephson currents are affected by the electron-electron
interaction. In the long-junction limit the supercurrent can by evaluated by
modeling the system as a helical Luttinger liquid coupled to superconducting
reservoirs. After having introduced bosonization in the presence of the parity
constraint we turn to consider the limit of perfect and poor interfaces. For
transparent interfaces, where perfect Andreev reflections occur at the
boundaries, the Josephson current is marginally affected by the interaction. On
the contrary, if strong magnetic scatterers are present in the weak link, the
situation changes dramatically. Here Coulomb interaction plays a crucial role
both in low and high temperature regimes. Furthermore, a phase-shift of
Josephson current can be induced by changing the direction of the magnetization
of the impurity.


title: Top quark precision physics at the International Linear Collider

abstract:
  Top quark production in the process $e^+e^- \rightarrow t\bar{t}$ at a future
linear electron positron collider with polarized beams is a powerful tool to
determine the scale of new physics. Studies at the $\ttbar$ threshold will
allow for precise determination of the top quark mass in a well defined
theoretical framework. At higher energies vector, axial vector and tensorial CP
conserving couplings can be separately determined for the photon and the $Z^0$
component in the electro-weak production process. The sensitivity to new
physics would be dramatically improved w.r.t. to what expected from LHC for
electroweak couplings.


title: Limits on the space-time variations of fundamental constants

abstract:
  We report on new tests that improve our previous (2009-2010) estimates of the
electron-to-proton mass ratio variation, mu = m_e/m_p. Subsequent observations
(2011-2013) at the Effelsberg 100-m telescope of a sample of eight molecular
cores from the Milky Way disk reveal systematic errors in the measured sky
frequencies varying with an amplitude +/-0.01 km/s during the exposure time.
The averaged offset between the radial velocities of the NH3(1,1), HC3N(2-1),
HC5N(9-8), HC7N(16-15), HC7N(21-20), and HC7N(23-22) transitions gives Delta V
= 0.002 +/- 0.015 km/s [3 sigma confidence level (C.L.)]. This value, when
interpreted in terms of Delta mu/mu = (mu_obs - mu_lab)/mu_lab constraints the
mu-variation at the level of Delta mu/mu < 2x10^{-8} (3 sigma C.L.), which is
the most stringent limit on the fractional changes in mu based on radio
astronomical observations.


title:
The influence of ultrafast temporal energy regulation on the morphology
  of Si surfaces through femtosecond double pulse laser irradiation

abstract:
  The effect of ultrashort laser-induced morphological changes upon irradiation
of silicon with double pulse sequences is investigated under conditions that
lead to mass removal. The temporal delay between twelve double and equal-energy
pulses (Ep=0.24J/cm2 each, with pulse duration tp=430fs, 800nm laser
wavelength) was varied between 0 and 14ps and a decrease of the damaged area,
crater depth size and periodicity of the induced subwavelength ripples (by
3-4%) was observed with increasing pulse delay. The proposed underlying
mechanism is based on the combination of carrier excitation and energy
thermalization and capillary wave solidification and aims to provide an
alternative explanation to the control of ripple periodicity by temporal pulse
tailoring. This work demonstrates the potential of pulse shaping technology to
improve nano/micro processing.


title: Helly-Type Theorems in Property Testing

abstract:
  Helly's theorem is a fundamental result in discrete geometry, describing the
ways in which convex sets intersect with each other. If $S$ is a set of $n$
points in $R^d$, we say that $S$ is $(k,G)$-clusterable if it can be
partitioned into $k$ clusters (subsets) such that each cluster can be contained
in a translated copy of a geometric object $G$. In this paper, as an
application of Helly's theorem, by taking a constant size sample from $S$, we
present a testing algorithm for $(k,G)$-clustering, i.e., to distinguish
between two cases: when $S$ is $(k,G)$-clusterable, and when it is
$\epsilon$-far from being $(k,G)$-clusterable. A set $S$ is $\epsilon$-far
$(0<\epsilon\leq1)$ from being $(k,G)$-clusterable if at least $\epsilon n$
points need to be removed from $S$ to make it $(k,G)$-clusterable. We solve
this problem for $k=1$ and when $G$ is a symmetric convex object. For $k>1$, we
solve a weaker version of this problem. Finally, as an application of our
testing result, in clustering with outliers, we show that one can find the
approximate clusters by querying a constant size sample, with high probability.


title: Introducing Access Control in Webdamlog

abstract:
  We survey recent work on the specification of an access control mechanism in
a collaborative environment. The work is presented in the context of the
WebdamLog language, an extension of datalog to a distributed context. We
discuss a fine-grained access control mechanism for intentional data based on
provenance as well as a control mechanism for delegation, i.e., for deploying
rules at remote peers.


title:
Applying least absolute deviation regression to regression-type
  estimation of the index of a stable distribution using the characteristic
  function

abstract:
  Least absolute deviation regression is applied using a fixed number of points
for all values of the index to estimate the index and scale parameter of the
stable distribution using regression methods based on the empirical
characteristic function. The recognized fixed number of points estimation
procedure uses ten points in the interval zero to one, and least squares
estimation. It is shown that using the more robust least absolute regression
based on iteratively re-weighted least squares outperforms the least squares
procedure with respect to bias and also mean square error in smaller samples.


title:
A Fractional Generalization of the Poisson Processes and Some of its
  Properties

abstract:
  We have provided a fractional generalization of the Poisson renewal processes
by replacing the first time derivative in the relaxation equation of the
survival probability by a fractional derivative of order $\alpha ~(0 < \alpha
\leq 1)$. A generalized Laplacian model associated with the Mittag-Leffler
distribution is examined. We also discuss some properties of this new model and
its relevance to time series. Distribution of gliding sums, regression
behaviors and sample path properties are studied. Finally we introduce the
$q$-Mittag-Leffler process associated with the $q$-Mittag-Leffler distribution.


title:
Discrete exact and quasi-resonances of Rossby/drift waves on $\b$-plane
  with periodic boundary conditions

abstract:
  Analysis of resonance clustering in weakly nonlinear dispersive wave systems,
also called discrete wave turbulent systems, is a new methodology successfully
used in the last years for characterizing energy transport due to exact and
quasi-resonances. Quite recently this methodology has been used in the paper by
M. D. Bustamante, U. Hayat "Complete classification of discrete resonant
Rossby/drift wave triads on periodic domains", \cite{BH13}, in order to show
that resonance clustering is very sparse and quasi-resonances (that is,
resonances with small enough detuning) play major role in the energy transport
in this specific wave system. On the other hand, in the paper by M. Yamada, T.
Yoneda "Resonant interaction of Rossby waves in two-dimensional flow on
$\beta$-plane", \cite{YaYo13}, the same physical system is studied and a
mathematically rigorous theorem is proven: at high $\b$, the flow dynamics is
governed exclusively by resonant interactions. In our present paper we
demonstrate that this seeming contradiction between numerical results
\cite{BH13} and analytical results \cite{YaYo13} are due to some pitfalls in
numerical studies of exact and quasi-resonances presented in \cite{BH13}. We
also demonstrate that resonance clustering of drift waves on periodic
$\b$-plane differs substantially from characteristic resonance clustering in
other 3-wave systems: instead of a usual set of isolated triads and a few
bigger clusters, there exists \emph{no isolated triads} in this case. Resonant
triads are interconnected in a complicated way and the smallest cluster
consists of 6 connected triads.


title:
Detecting Local Deflection Patterns of Ultra-high Energy Cosmic Rays
  using the Principal Axes of the Directional Energy Distribution

abstract:
  From deflections in galactic and extragalactic magnetic fields energy
dependent structures in the arrival directions of ultra-high energy cosmic rays
(UHECR) are expected. We propose to characterize these structures by the
strength of collimation of energy along the principal axes in selected regions
in the sky. While the strength of collimation are indicators of anisotropy in
the arrival distribution of UHECR, the orientation of the principal system
holds information about the direction of the deflections of UHECR. We discuss
the method and present expected limits on the strength of deflection and
density of sources using simulated scenarios of UHECR proton propagation.


title: Absorption properties of identical atoms

abstract:
  Emission rates and other optical properties of multiparticle systems in
collective and entangled states differ from those in product ones. We show the
existence of similar effects in the absorption probabilities for
(anti)symmetrized states of two identical atoms. The effects strongly depend on
the overlapping between the atoms and differ for bosons and fermions. We
propose a viable experimental verification of these ideas.


title:
Determination of the iron content of Cepheids from the shape of their
  light curves

abstract:
  We present the study of the metallicity dependence of the Fourier amplitude
ratios R_21 and R_31 for the light curves of short-period Galactic classical
Cepheids in B, V, R_C and I_C bands. Based on the available photometric and
spectroscopic data we determined the relations between the atmospheric iron
abundance, [Fe/H], and the Fourier parameters. Using these relations we
calculated the photometric [Fe/H] values of all program Cepheids with an
average accuracy of 0.15 dex. No spectroscopic iron abundance was known before
for 14 of these stars. These empirical results provide an alternate method to
determine the iron abundance of classical Cepheids too faint for spectroscopic
observations. We also checked whether the metal-poor Cepheids of both
Magellanic Clouds follow the same relationships, and a good agreement was
found.


title: GPU peer-to-peer techniques applied to a cluster interconnect

abstract:
  Modern GPUs support special protocols to exchange data directly across the
PCI Express bus. While these protocols could be used to reduce GPU data
transmission times, basically by avoiding staging to host memory, they require
specific hardware features which are not available on current generation
network adapters. In this paper we describe the architectural modifications
required to implement peer-to-peer access to NVIDIA Fermi- and Kepler-class
GPUs on an FPGA-based cluster interconnect. Besides, the current software
implementation, which integrates this feature by minimally extending the RDMA
programming model, is discussed, as well as some issues raised while employing
it in a higher level API like MPI. Finally, the current limits of the technique
are studied by analyzing the performance improvements on low-level benchmarks
and on two GPU-accelerated applications, showing when and how they seem to
benefit from the GPU peer-to-peer method.


title: $\tau^-\to\pi^-\eta^{(\prime)}\nu_\tau$ decays

abstract:
  The vector and scalar form factors relevant to the second-class current
$\tau^-\to\pi^-\eta^{(\prime)}\nu_\tau$ processes are evaluated supplementing
Chiral Perturbation Theory with the inclusion of resonances as explicit degrees
of freedom. While the vector contribution is essentially fixed from knowledge
of the two-pion vector form factor, the scalar form factor demands a coupled
channel dispersive analysis to obtain robust predictions for the detection of
these decay modes.


title: The connection between the Basel problem and a special integral

abstract:
  By using Fubini theorem or Tonelli theorem, we find that the zeta function
value at 2 is equal to a special integral. Furthermore, We find that this
special integral is two times of another special integral. By using this fact
we obtain the relationship between Genocchi numbers and Bernoulli numbers. And
get some results about Bernoulli polynomials.


title:
Tracking Extrema in Dynamic Environment using Multi-Swarm Cellular PSO
  with Local Search

abstract:
  Many real-world phenomena can be modelled as dynamic optimization problems.
In such cases, the environment problem changes dynamically and therefore,
conventional methods are not capable of dealing with such problems. In this
paper, a novel multi-swarm cellular particle swarm optimization algorithm is
proposed by clustering and local search. In the proposed algorithm, the search
space is partitioned into cells, while the particles identify changes in the
search space and form clusters to create sub-swarms. Then a local search is
applied to improve the solutions in the each cell. Simulation results for
static standard benchmarks and dynamic environments show superiority of the
proposed method over other alternative approaches.


title: The minimal number of generators of a finite semigroup

abstract:
  The rank of a finite semigroup is the smallest number of elements required to
generate the semigroup. A formula is given for the rank of an arbitrary (non
necessarily regular) Rees matrix semigroup over a group. The formula is
expressed in terms of the dimensions of the structure matrix, and the relative
rank of a certain subset of the structure group obtained from subgroups
generated by entries in the structure matrix, which is assumed to be in Graham
normal form. This formula is then applied to answer questions about minimal
generating sets of certain natural families of transformation semigroups. In
particular, the problem of determining the maximum rank of a subsemigroup of
the full transformation monoid (and of the symmetric inverse semigroup) is
considered.


title:
Probabilistic Algorithm for Polynomial Optimization over a Real
  Algebraic Set

abstract:
  Let $f, f_1, \ldots, f_\nV$ be polynomials with rational coefficients in the
indeterminates $\bfX=X_1, \ldots, X_n$ of maximum degree $D$ and $V$ be the set
of common complex solutions of $\F=(f_1,\ldots, f_\nV)$. We give an algorithm
which, up to some regularity assumptions on $\F$, computes an exact
representation of the global infimum $f^\star=\inf_{x\in V\cap\R^n} f\Par{x}$,
i.e. a univariate polynomial vanishing at $f^\star$ and an isolating interval
for $f^\star$. Furthermore, this algorithm decides whether $f^\star$ is reached
and if so, it returns $x^\star\in V\cap\R^n$ such that
$f\Par{x^\star}=f^\star$. This algorithm is probabilistic. It makes use of the
notion of polar varieties. Its complexity is essentially cubic in $\Par{\nV
D}^n$ and linear in the complexity of evaluating the input. This fits within
the best known deterministic complexity class $D^{O(n)}$. We report on some
practical experiments of a first implementation that is available as a Maple
package. It appears that it can tackle global optimization problems that were
unreachable by previous exact algorithms and can manage instances that are hard
to solve with purely numeric techniques. As far as we know, even under the
extra genericity assumptions on the input, it is the first probabilistic
algorithm that combines practical efficiency with good control of complexity
for this problem.


title: An ultra-bright atom laser

abstract:
  We present a novel, ultra-bright atom-laser and ultra-cold thermal atom beam.
Using rf-radiation we strongly couple the magnetic hyperfine levels of 87Rb
atoms in a magnetically trapped Bose-Einstein condensate. At low rf-frequencies
gravity opens a small hole in the trapping potenital and a well collimated,
extremely bright atom laser emerges from just below the condensate. As opposed
to traditional atom lasers based on weak coupling, this technique allows us to
outcouple atoms at an arbitrarily large rate. We demonstrate an increase in
flux per atom in the BEC by a factor of sixteen compared to the brightest
quasi-continuous atom laser. Furthermore, we produce by two orders of magnitude
the coldest thermal atom beam to date (200 nK).


title: A view from inside iron-based superconductors

abstract:
  Muon spin spectroscopy is one of the most powerful tools to investigate the
microscopic properties of superconductors. In this manuscript, an overview on
some of the main achievements obtained by this technique in the iron-based
superconductors (IBS) are presented. It is shown how the muons allow to probe
the whole phase diagram of IBS, from the magnetic to the superconducting phase,
and their sensitivity to unravel the modifications of the magnetic and the
superconducting order parameters, as the phase diagram is spanned either by
charge doping, by an external pressure or by introducing magnetic and
non-magnetic impurities. Moreover, it is highlighted that the muons are unique
probes for the study of the nanoscopic coexistence between magnetism and
superconductivity taking place at the crossover between the two ground-states.


title: On the Skitovich--Darmois theorem for the group of p-adic numbers

abstract:
  Let $\Omega_p$ be the group of $p$-adic numbers, $ \xi_1$ and $\xi_2$ be
independent random variables with values in $\Omega_p$ and distributions
$\mu_1$ and $\mu_2$. Let $\alpha_j, \beta_j$ be topological automorphisms of
$\Omega_p$. Assuming that the linear forms $L_1=\alpha_1\xi_1 + \alpha_2\xi_2$
and $L_2=\beta_1\xi_1 + \beta_2\xi_2$ are independent, we describe possible
distributions $\mu_1$ and $\mu_2$ depending on the automorphisms $\alpha_j,
\beta_j$. This theorem is an analogue for the group $\Omega_p$ of the
well-known Skitovich--Darmois theorem, where a Gaussian distribution on the
real line is characterized by the independence of two linear forms.


title: Charmless Semileptonic B Decays at e+e- Colliders

abstract:
  The following is an overview of the current status of charmless semileptonic
B decays and the extraction of the CKM matrix element $|V_{ub}|$ by the Belle
and BaBaR collaborations.


title: Fundamental of cryogenics (for superconducting RF technology)

abstract:
  This review briefly illustrates a few fundamental concepts of cryogenic
engineering, the technological practice that allows reaching and maintaining
the low-temperature operating conditions of the superconducting devices needed
in particle accelerators. To limit the scope of the task, and not to duplicate
coverage of cryogenic engineering concepts particularly relevant to
superconducting magnets that can be found in previous CAS editions, the
overview presented in this course focuses on superconducting radio-frequency
cavities.


title:
Critical speeding-up near the monopole liquid-gas transition in
  magnetoelectric spin-ice

abstract:
  Competing interactions in the so-called spin-ice compounds stabilize a
frustrated ground-state with finite zero-point entropy and, interestingly,
emergent magnetic monopole excitations. The properties of these monopoles are
at the focus of recent research with particular emphasis on their quantum
dynamics. It is predicted that each monopole also possesses an electric dipole
moment, which allows to investigate their dynamics via the dielectric function
\epsilon(\nu). Here, we report on broadband spectroscopic measurements of
\epsilon(\nu) in Dy2Ti2O7 down to temperatures of 200mK with a specific focus
on the critical endpoint present for a magnetic field along the
crystallographic [111] direction. Clear critical signatures are revealed in the
dielectric response when, similarly as in the liquid-gas transition, the
density of monopoles changes in a critical manner. Surprisingly, the dielectric
relaxation time \tau\ exhibits a critical speeding-up with a significant
enhancement of 1/\tau\ as the temperature is lowered towards the critical
temperature. Besides demonstrating the magnetoelectric character of the
emergent monopole excitations, our results reveal unique critical dynamics near
the monopole condensation transition.


title: Extraordinary localization of TE-waves at the graphene layer

abstract:
  The propagation of electromagnetic waves along the surface of a nonlinear
dielectric covered by a graphene layer is investigated. The main result is that
such a surface can support and stabilize nonlinear transverse electric (TE)
plasmon polaritons. We demonstrated that these nonlinear TE modes have a
subwavelength localization in the direction perpendicular to the surface, with
the intensity much higher than that of the incident wave which excites the
polariton.


title: Quantum queer superalgebras

abstract:
  We give a brief survey of recent developments in the highest weight
representation theory and the crystal basis theory of the quantum queer
superalgebra $U_q(\mathfrak{q}(n))$.


title:
A continuous time multi-echelon inventory model for deteriorating items
  with transshipment

abstract:
  In this paper, we propose a continuous time model for a multi-echelon
inventory system. Items in the inventory are deteriorating. Lateral
transshipment are allowed among the warehouses in the same echelon where
transshipment rate depends on the inventory level of the corresponding
warehouses. We give some sufficient conditions for the equilibrium points of
the system to be stable. By aggregating the warehouses in an echelon, a fast
procedure is developed for finding the equilibrium values of inventory level at
each warehouse.


title:
On generalization of different type inequalities for ({\alpha},m)-convex
  functions via fractional integrals

abstract:
  In this paper, new identity for fractional integrals have been defined. By
using of this identity, we obtained new general inequalities containing all of
Hadamard, Ostrowski and Simpson type inequalities for for functions whose
derivatives in absolute value at certain power are ({\alpha},m)-convex via
Riemann Liouville fractional integral.


title: Three generated, squarefree, monomial ideals

abstract:
  Let $I\supsetneq J$ be two squarefree monomial ideals of a polynomial algebra
over a field generated in degree $\geq d$, resp. $\geq d+1$ . Suppose that $I$
is generated by three monomials of degrees $d$. If the Stanley depth of $I/J$
is $\leq d+1$ then the usual depth of $I/J$ is $\leq d+1$ too.


title: On Complex Multiplicative Integration

abstract:
  In the present paper we extend the multiplicative integral to complex-valued
functions of complex variable. The main difficulty in this way, that is the
multi-valued nature of the complex logarithm, is avoided by division of the
interval of integration to a finite number of local intervals, in each of which
the complex logarithm can be localized in one of its branches. Interestingly,
the complex multiplicative integral became a multi-valued function. Some basic
properties of this integral are considered. In particular, it is proved that
this integral and the complex multiplicative derivative bonded in a kind of
fundamental theorem.


title: Desargues maps and their reductions

abstract:
  We present recent developments on geometric theory of the Hirota system and
of the non-commutative discrete Kadomtsev-Petviashvili (KP) hierarchy adding
also some new results which make the picture more complete. We pay special
attention to multidimensional consistency of the Desargues maps and of the
resulting non-linear non-commutative systems. In particular, we show
three-dimensional consistency of the non-commutative KP map in its edge
formulation. We discuss also relation of Desargues maps and quadrilateral
lattice maps. We study from that point of view reductions of the Hirota system
to discrete B-KP and C-KP systems presenting also a novel constraint which
leads to the Miwa equations. By imposing periodicity reduction of the discrete
KP hierarchy we obtain non-isospectral versions of the modified lattice
Gel'fand-Dikii equations. To close the picture from below, we apply additional
self-similarity constraint on the non-isospectral non-autonomous modified
lattice Korteweg-de Vries system to recover known q-Painleve equation of type
A_2+A_1.


title: Generalised geometry from the ground up

abstract:
  Extending previous work on generalised geometry, we explicitly construct an
E7-valued vielbein in eleven dimensions that encompasses the scalar bosonic
degrees of freedom of D=11 supergravity, by identifying new "generalised
vielbeine" in eleven dimensions associated with the dual 6-form potential and
the dual graviton. By maintaining full on-shell equivalence with the original
theory at every step, our construction altogether avoids the constraints
usually encountered in other approaches to generalised geometry and, as a side
product, also furnishes the non-linear ansatz for the dual (magnetic) 7-form
flux for any non-trivial compactification of D=11 supergravity, complementing
the known non-linear ansaetze for the metric and the 4-form flux. A preliminary
analysis of the generalised vielbein postulate for the new vielbein components
reveals tantalising hints of new structures beyond D=11 supergravity and
ordinary space-time covariance, and also points to the possible D=11 origins of
the embedding tensor. We discuss the extension of these results to E8.


title:
Learning about SANS Instruments and Data Reduction from Round Robin
  Measurements on Samples of Polystyrene Latex

abstract:
  Measurements of a well-characterised standard sample can verify the
performance of an instrument. Typically, small-angle neutron scattering
instruments are used to investigate a wide range of samples and may often be
used in a number of configurations. Appropriate standard samples are useful to
test different aspects of the performance of hardware as well as that of the
data reduction and analysis software. Measurements on a number of instruments
with different intrinsic characteristics and designs in a round robin can not
only better characterise the performance for a wider range of conditions but
also, perhaps more importantly, reveal the limits of the current state of the
art of small-angle scattering. The exercise, followed by detailed analysis,
tests the limits of current understanding as well as uncovers often forgotten
assumptions, simplifications and approximations that underpin the current
practice of the technique. This paper describes measurements of polystyrene
latex, radius 72 nm with a number of instruments. Scattering from monodisperse,
uniform spherical particles is simple to calculate and displays sharp minima.
Such data test the calibrations of intensity, wavelength and resolution as well
as the detector response. Smoothing due to resolution, multiple scattering and
polydispersity has been determined. Sources of uncertainty are often related to
systematic deviations and calibrations rather than random counting errors. The
study has prompted development of software to treat modest multiple scattering
and to better model the instrument resolution. These measurements also allow
checks of data reduction algorithms and have identified how they can be
improved. The reproducibility and the reliability of instruments and the
accuracy of parameters derived from the data are described.


title: Context-Free Groups and Bass-Serre Theory

abstract:
  The word problem of a finitely generated group is the formal language of
words over the generators which are equal to the identity in the group. If this
language happens to be context-free, then the group is called context-free.
Finitely generated virtually free groups are context-free. In a seminal paper
Muller and Schupp showed the converse: A context-free group is virtually free.
Over the past decades a wide range of other characterizations of context-free
groups have been found. The present notes survey most of these
characterizations. Our aim is to show how the different characterizations of
context-free groups are interconnected. Moreover, we present a self-contained
access to the Muller-Schupp theorem without using Stallings' structure theorem
or a separate accessibility result. We also give an introduction to some
classical results linking groups with formal language theory.


title:
Dynamics of ions in the selectivity filter of the KcsA channel: Towards
  a coupled Brownian particle description

abstract:
  The statistical and dynamical properties of ions in the selectivity filter of
the KcsA ion channel are considered on the basis of molecular dynamics (MD)
simulations of the KcsA protein embedded in a lipid membrane surrounded by an
ionic solution. A new approach to the derivation of a Brownian dynamics (BD)
model of ion permeation through the filter is discussed, based on unbiased MD
simulations. It is shown that depending on additional assumptions, ion's
dynamics can be described either by under-damped Langevin equation with
constant damping and white noise or by Langevin equation with a fractional
memory kernel. A comparison of the potential of the mean force derived from
unbiased MD simulations with the potential produced by the umbrella sampling
method demonstrates significant differences in these potentials. The origin of
these differences is an open question that requires further clarifications.


title:
On the finite amplitudes for open graphs in Abelian dynamical colored
  Boulatov-Ooguri models

abstract:
  In the work [Int. J. Theor. Phys. 50, 2819 (2011)], it has been proved that
the radiative corrections of the 2-point function in the SU(2) Boulatov tensor
model generates a relevant (in the Renormalization Group sense) contribution of
the form of a Laplacian. Such a term which was missing in the initial Boulatov
model action should be added in that action before discussing the
renormalization analysis of this model. In this work, by linearizing the group
manifold, we prove that the amplitudes associated with Feynman graphs with
external legs of the colored Boulatov model over U(1)^3 endowed with a
Laplacian dynamics are all convergent. We conjecture that the same feature
happens for the corresponding Boulatov model over SU(2). Higher rank models are
also discussed.


title: Medians of populations of persistence diagrams

abstract:
  Persistence diagrams are common objects in the field of Topological Data
Analysis. They are topological summaries that capture both topological and
geometric structure within data. Recently there has been a surge of interest in
developing tools to statistically analyse populations of persistence diagrams,
a process hampered by the complicated geometry of the space of persistence
diagrams. In this paper we study the median of a set of diagrams, defined as
the minimizer of an appropriate cost function analogous to the sum of distances
used for samples of real numbers. We then characterize the local minima of this
cost function and in doing so characterize the median. We also do some
comparative analysis of the properties of the median and the mean.


title: Collimators

abstract:
  The collimator system of a particle accelerator must efficiently remove stray
particles and provide protection against uncontrolled losses. In this article,
the basic design concepts of collimators and some realizations are presented.


title: Lusztig's partition and sheets (with an appendix by M. Bulois)

abstract:
  We show that, for a connected reductive algebraic group G over an
algebraically closed field of zero or good characteristic, the parts, called
strata, in the partition of G recently introduced by Lusztig are unions of
sheets of conjugacy classes. For G simple and adjoint we refine the
parametrization of such sheets obtained in previous work with F. Esposito. We
give a simple combinatorial description of strata containing spherical
conjugacy classes, showing that Lusztig's correspondence induces a bijection
between unions of spherical conjugacy classes and unions of classes of
involutions in the Weyl group. Using ideas from the Appendix by M. Bulois, we
show that the closure of a stratum is not necessarily a union of strata.


title:
Asymptotic Preserving time-discretization of optimal control problems
  for the Goldstein-Taylor model

abstract:
  We consider the development of implicit-explicit time integration schemes for
optimal control problems governed by the Goldstein-Taylor model. In the
diffusive scaling this model is a hyperbolic approximation to the heat
equation. We investigate the relation of time integration schemes and the
formal Chapman-Enskog type limiting procedure. For the class of stiffly
accurate implicit-explicit Runge-Kutta methods (IMEX) the discrete optimality
system also provides a stable numerical method for optimal control problems
governed by the heat equation. Numerical examples illustrate the expected
behavior.


title: Reliability and fault tolerance in the European ADS project

abstract:
  After an introduction to the theory of reliability, this paper focuses on a
description of the linear proton accelerator proposed for the European ADS
demonstration project. Design issues are discussed and examples of cases of
fault tolerance are given.


title: The Planning-ahead SMO Algorithm

abstract:
  The sequential minimal optimization (SMO) algorithm and variants thereof are
the de facto standard method for solving large quadratic programs for support
vector machine (SVM) training. In this paper we propose a simple yet powerful
modification. The main emphasis is on an algorithm improving the SMO step size
by planning-ahead. The theoretical analysis ensures its convergence to the
optimum. Experiments involving a large number of datasets were carried out to
demonstrate the superiority of the new algorithm.


title:
Approximate relativistic solutions for a new ring-shaped Hulth\'en
  potential

abstract:
  Approximate bound state solutions of the Dirac equation with the Hulth\'en
plus a new generalized ring-shaped (RS) potential are obtained for any
arbitrary -state. The energy eigenvalue equation and the corresponding
two-component wave function are calculated by solving the radial and angular
wave equations within a recently introduced shortcut of Nikiforov-Uvarov (NU)
method. The solutions of the radial and polar angular parts of the wave
function are given in terms of the Jacobi polynomials. We use an exponential
approximation in terms of the Hulthen potential parameters to deal with the
strong singular centrifugal potential term Under the limiting case, the
solution can be easily reduced to the solution of the Schrodinger equation with
a new ring-shaped Hulth\'en potential.


title: From A-spaces to arbitrary spaces via spatial fibrous preorders

abstract:
  The well known equivalence between preorders and Alexandrov spaces is
extended to an equivalence between arbitrary topological spaces and spatial
fibrous preorders, a new notion to be introduced.


title:
Is it possible to predict long-term success with k-NN? Case Study of
  four market indices (FTSE100, DAX, HANGSENG, NASDAQ)

abstract:
  This case study tests the possibility of prediction for "success" (or
"winner") components of four stock & shares market indices in a time period of
three years from 02-Jul-2009 to 29-Jun-2012.We compare their performance ain
two time frames: initial frame three months at the beginning
(02/06/2009-30/09/2009) and the final three month frame
(02/04/2012-29/06/2012). To label the components, average price ratio between
two time frames in descending order is computed. The average price ratio is
defined as the ratio between the mean prices of the beginning and final time
period. The "winner" components are referred to the top one third of total
components in the same order as average price ratio it means the mean price of
final time period is relatively higher than the beginning time period. The
"loser" components are referred to the last one third of total components in
the same order as they have higher mean prices of beginning time period. We
analyse, is there any information about the winner-looser separation in the
initial fragments of the daily closing prices log-returns time series. The
Leave-One-Out Cross-Validation with k-NN algorithm is applied on the daily
log-return of components using a distance and proximity in the experiment. By
looking at the error analysis, it shows that for HANGSENG and DAX index, there
are clear signs of possibility to evaluate the probability of long-term
success. The correlation distance matrix histograms and 2-D/3-D elastic maps
generated from ViDaExpert show that the winner components are closer to each
other and winner/loser components are separable on elastic maps for HANGSENG
and DAX index while for the negative possibility indices, there is no sign of
separation.


title:
Spinless particles in the field of unequal Scalar-Vector Yukawa
  potentials

abstract:
  We present analytical bound state solutions of the spin-zero Klein-Gordon
(KG) particles in the field of unequal mixture of scalar and vector Yukawa
potentials within the framework of the approximation scheme to the centrifugal
potential term for any arbitrary -state. The approximate energy eigenvalues and
unnormalized wave functions are obtained in closed forms using a simple
shortcut of the Nikiforov-Uvarov (NU) method. Further, we solve the KG-Yukawa
problem for its exact numerical energy eigenvalues via amplitude phase (AP)
method to test the accuracy of the present solutions found by using the NU
method. Our numerical tests using energy calculations demonstrate the existence
of inter-dimensional degeneracy amongst energy states of the KG-Yukawa problem.
The dependence of the energy on the dimension is numerically discussed for
spatial dimensions


title: Vector Bundles on the Moduli Stack of Elliptic Curves

abstract:
  We study vector bundles on the moduli stack of elliptic curves over a local
ring R. If R is a field or a discrete valuation ring of (residue)
characteristic not 2 or 3, all these vector bundles are sums of line bundles.
For R the 3-local integers, we construct higher rank indecomposable vector
bundles and give a classification of vector bundles that are iterated
extensions of line bundles. For R the 2-local integers, we show that there are
even indecomposable vector bundles of arbitrary high rank.


title:
Relativistic symmetries in Rosen-Morse potential and tensor interaction
  using the Nikiforov-Uvarov method

abstract:
  Approximate analytical bound-state solutions of the Dirac particle in the
field of both attractive and repulsive RM potentials including Coulomb-like
tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The
Pekeris approximation is used to deal with the spin-orbit coupling terms In the
presence of exact spin and pseudospin (p-spin) symmetries, the energy
eigenvalues and the corresponding normalized two-component wave functions are
found by using the parametric generalization of the Nikiforov-Uvarov (NU)
method. The numerical results show that the CLT interaction removes
degeneracies between spin and p-spin state doublets.


title: Late-time acceleration in the coupled Cubic Galileon models

abstract:
  We investigate the linearly and quadratically coupled cubic Galileon models
that include linear potentials. These models may explain the late-time
acceleration. In these cases, we need two equations of state parameter named
the native and effective equations of state to test whether the universe is
accelerating or not because there is coupling between the cold dark matter and
Galileon. It turns out that there is no transition from accelerating phase to
phantom phase in the future.


title: Heat dissipation in atomic-scale junctions

abstract:
  Atomic and single-molecule junctions represent the ultimate limit to the
miniaturization of electrical circuits. They are also ideal platforms to test
quantum transport theories that are required to describe charge and energy
transfer in novel functional nanodevices. Recent work has successfully probed
electric and thermoelectric phenomena in atomic-scale junctions. However, heat
dissipation and transport in atomic-scale devices remain poorly characterized
due to experimental challenges. Here, using custom-fabricated scanning probes
with integrated nanoscale thermocouples, we show that heat dissipation in the
electrodes of molecular junctions, whose transmission characteristics are
strongly dependent on energy, is asymmetric, i.e. unequal and dependent on both
the bias polarity and the identity of majority charge carriers (electrons vs.
holes). In contrast, atomic junctions whose transmission characteristics show
weak energy dependence do not exhibit appreciable asymmetry. Our results
unambiguously relate the electronic transmission characteristics of
atomic-scale junctions to their heat dissipation properties establishing a
framework for understanding heat dissipation in a range of mesoscopic systems
where transport is elastic. We anticipate that the techniques established here
will enable the study of Peltier effects at the atomic scale, a field that has
been barely explored experimentally despite interesting theoretical
predictions. Furthermore, the experimental advances described here are also
expected to enable the study of heat transport in atomic and molecular
junctions, which is an important and challenging scientific and technological
goal that has remained elusive.


title: A Blazar-Like Radio Flare in Mrk 231

abstract:
  Radio monitoring of the broad absorption line quasar (BALQSO) Mrk 231 from
13.9 GHz to 17.6 GHz detected a strong flat spectrum flare. Even though BALQSOs
are typically weak radio sources, the 17.6 GHz flux density doubled in ~150
days, from ~135 mJy to ~270 mJy. It is demonstrated that the elapsed rise time
in the quasar rest frame and the relative magnitude of the flare is typical of
some of the stronger flares in blazars that are associated with the ejection of
discrete components on parsec scales. The decay of a similar flare was found in
a previous monitoring campaign at 22 GHz. We conclude that these flares are not
rare and indicate the likely ejection of a new radio component that can be
resolved from the core with Very Long Baseline Interferometry. The implication
is that Mrk 231 seems to be a quasar in which the physical mechanism that
produces the BAL wind is in tension with the emergence of a fledgling blazar.


title:
A bifurcational geometric approach to the problem of chaos transition in
  the classical Lorenz system

abstract:
  The classical Lorenz system is considered. For many years, this system has
been the subject of study by numerous authors. However, until now the structure
of the Lorenz attractor is not clear completely yet, and the most important
question at present is to understand the bifurcation scenario of chaos
transition in this system. Using some numerical results and our bifurcational
geometric approach, we present a new scenario of chaos transition in the
classical Lorenz system.


title:
An odd-number limitation of extended time-delayed feedback control in
  autonomous systems

abstract:
  We propose a necessary condition for the successful stabilisation of a
periodic orbit using the extended version of time-delayed feedback control.
This condition depends on the number of real Floquet multipliers larger than
unity and is therefore related to the well-known odd-number limitation in
non-autonomous systems. We show that the period of the orbit which is induced
by mismatching the delay-time of the control scheme and the period of the
uncontrolled orbit plays an important role in the formulation of the odd-number
limitation in the autonomous case.


title: Transverse spreading of electrons in high-intensity laser fields

abstract:
  We show that for collisions of electrons with a high-intensity laser,
discrete photon emissions introduce a transverse beam spread which is distinct
from that due to classical (or beam shape) effects. Via numerical simulations,
we show that this quantum induced transverse momentum gain of the electron is
manifest in collisions with a realistic laser pulse of intensity within reach
of current technology, and we propose it as a measurable signature of
strong-field quantum electrodynamics.


title: Approximate eigensolutions of the deformed Woods-Saxon potential via AIM

abstract:
  By using the Pekeris approximation, the Schr\"{o}dinger equation is solved
for the nuclear deformed Woods-Saxon potential within the framework of the
asymptotic iteration method (AIM). The energy levels are worked out and the
corresponding normalized eigenfunctions are obtained in terms of hypergeometric
function.


title:
Allocating the chains of consecutive additions for optimal fixed-point
  data path synthesis

abstract:
  Minimization of computational errors in the fixed-point data path is often
difficult task. Many signal processing algorithms use chains of consecutive
additions. The analyzing technique that can be applied to fixed-point data path
synthesis has been proposed. This technique takes advantage of allocating the
chains of consecutive additions in order to predict growing width of the data
path and minimize the design complexity and computational errors.


title:
OMP Based Joint Sparsity Pattern Recovery Under Communication
  Constraints

abstract:
  We address the problem of joint sparsity pattern recovery based on low
dimensional multiple measurement vectors (MMVs) in resource constrained
distributed networks. We assume that distributed nodes observe sparse signals
which share the same sparsity pattern and each node obtains measurements via a
low dimensional linear operator. When the measurements are collected at
distributed nodes in a communication network, it is often required that joint
sparse recovery be performed under inherent resource constraints such as
communication bandwidth and transmit/processing power.
  We present two approaches to take the communication constraints into account
while performing common sparsity pattern recovery. First, we explore the use of
a shared multiple access channel (MAC) in forwarding observations residing at
each node to a fusion center. With MAC, while the bandwidth requirement does
not depend on the number of nodes, the fusion center has access to only a
linear combination of the observations. We discuss the conditions under which
the common sparsity pattern can be estimated reliably. Second, we develop two
collaborative algorithms based on Orthogonal Matching Pursuit (OMP), to jointly
estimate the common sparsity pattern in a decentralized manner with a low
communication overhead. In the proposed algorithms, each node exploits
collaboration among neighboring nodes by sharing a small amount of information
for fusion at different stages in estimating the indices of the true support in
a greedy manner. Efficiency and effectiveness of the proposed algorithms are
demonstrated via simulations along with a comparison with the most related
existing algorithms considering the trade-off between the performance gain and
the communication overhead.


title:
A Schwarz-Pick lemma for the modulus of holomorphic mappings from the
  polydisk into the unit ball

abstract:
  In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic
mappings from the polydisk into the unit ball. This result extends some related
results.


title: Delegation Management Modeling in a Security Policy based Environment

abstract:
  Security Policies (SP) constitute the core of communication networks
protection infrastructures. It offers a set of rules allowing differentiating
between legitimate actions and prohibited ones and consequently, associates
each entity in the network with a set of permissions and privileges. Moreover,
in today's technological society and to allow applications perpetuity,
communication networks must support the collaboration between entities to face
up any unavailability or flinching. This collaboration must be governed by
security mechanisms according to the established permissions and privileges.
Delegation is a common practice that is used to simplify the sharing of
responsibilities and privileges. The delegation process in a SP environment can
be implanted through the use of adequate formalisms and modeling. The main
contribution of this paper is then, the proposition of a generic and formal
modeling of delegation process. This modeling is based on three steps composing
the delegation life cycle: negotiation used for delegation initiation,
verification of the SP respect while delegating and revocation of an
established delegation. Hence, we propose to deal with each step according to
the main delegation characteristics and extend them by some new specificities.


title: A Thermal Field Theory with Non-uniform Chemical Potential

abstract:
  We investigate thermal one-loop effective potentials in multi-flavor models
with chemical potentials. We study four-dimensional models in which each flavor
have different global U(1) charges. Accordingly they have different chemical
potentials. We call these "non-uniform chemical potentials," which are
organized into a diagonal matrix \mu. The mass matrix at a vacuum does not
commute with \mu. We find that the effective potential is divided into three
parts. The first part is the Coleman-Weinberg potential. The UV divergence
resides only in this part. The second is the correction to the Coleman-Weinberg
potential that is independent of temperature, and the third depends on both
temperature and \mu. Our result is a generalization of the thermal potentials
in previous studies for models with single and multi-flavors with (uniform)
chemical potentials and reproduces all the known results correctly.


title: Breather solutions of the discrete p-Schr\"odinger equation

abstract:
  We consider the discrete p-Schr\"odinger (DpS) equation, which approximates
small amplitude oscillations in chains of oscillators with fully-nonlinear
nearest-neighbors interactions of order alpha = p-1 >1. Using a mapping
approach, we prove the existence of breather solutions of the DpS equation with
even- or odd-parity reflectional symmetries. We derive in addition analytical
approximations for the breather profiles and the corresponding intersecting
stable and unstable manifolds, valid on a whole range of nonlinearity orders
alpha. In the limit of weak nonlinearity (alpha --> 1^+), we introduce a
continuum limit connecting the stationary DpS and logarithmic nonlinear
Schr\"odinger equations. In this limit, breathers correspond asymptotically to
Gaussian homoclinic solutions. We numerically analyze the stability properties
of breather solutions depending on their even- or odd-parity symmetry. A
perturbation of an unstable breather generally results in a translational
motion (traveling breather) when alpha is close to unity, whereas pinning
becomes predominant for larger values of alpha.


title:
Propagation in a kinetic reaction-transport equation: travelling waves
  and accelerating fronts

abstract:
  In this paper, we study the existence and stability of travelling wave
solutions of a kinetic reaction-transport equation. The model describes
particles moving according to a velocity-jump process, and proliferating thanks
to a reaction term of monostable type. The boundedness of the velocity set
appears to be a necessary and sufficient condition for the existence of
positive travelling waves. The minimal speed of propagation of waves is
obtained from an explicit dispersion relation. We construct the waves using a
technique of sub- and supersolutions and prove their \eb{weak} stability in a
weighted $L^2$ space. In case of an unbounded velocity set, we prove a
superlinear spreading. It appears that the rate of spreading depends on the
decay at infinity of the velocity distribution. In the case of a Gaussian
distribution, we prove that the front spreads as $t^{3/2}$.


title:
Approximate relativistic bound states of a particle in Yukawa field with
  Coulomb tensor interaction

abstract:
  We obtain the approximate relativistic bound state of a spin-1/2 particle in
the field of the Yukawa potential and a Coulomb-like tensor interaction with
arbitrary spin-orbit coupling number k under the spin and pseudospin (p-spin)
symmetries. The asymptotic iteration method is used to obtain energy
eigenvalues and corresponding wave functions in their closed forms. Our
numerical results show that the tensor interaction removes degeneracies between
the spin and p-spin doublets and creates new degenerate doublets for various
strengths of tensor coupling.


title: The Likelihood Encoder for Source Coding

abstract:
  The likelihood encoder with a random codebook is demonstrated as an effective
tool for source coding. Coupled with a soft covering lemma (associated with
channel resolvability), likelihood encoders yield simple achievability proofs
for known results, such as rate-distortion theory. They also produce a
tractable analysis for secure rate-distortion theory and strong coordination.


title:
Wigner and Kondo physics in quantum point contacts revealed by scanning
  gate microscopy

abstract:
  Quantum point contacts exhibit mysterious conductance anomalies in addition
to well known conductance plateaus at multiples of 2e^2/h. These 0.7 and
zero-bias anomalies have been intensively studied, but their microscopic origin
in terms of many-body effects is still highly debated. Here we use the charged
tip of a scanning gate microscope to tune in situ the electrostatic potential
of the point contact. While sweeping the tip distance, we observe repetitive
splittings of the zero-bias anomaly, correlated with simultaneous appearances
of the 0.7 anomaly. We interpret this behaviour in terms of alternating
equilibrium and non-equilibrium Kondo screenings of different spin states
localized in the channel. These alternating Kondo effects point towards the
presence of a Wigner crystal containing several charges with different
parities. Indeed, simulations show that the electron density in the channel is
low enough to reach one-dimensional Wigner crystallization over a size
controlled by the tip position.