title:
Analytical Formulae for the Loss Factors and Wakefields of a Rectangular
  Accelerating Structure

abstract:
  Wakefields in a rectangular accelerating structure can be calculated in time
domain by directly solving Maxwell's equations by a 3D code. In this paper, we
will give analytical formulae to calculate the synchronous modes' loss factors.
From these analytical formulae on can get the delta function wakefields. The
relations between the loss factors (wakefields) and the structure geometrical
dimensions are well established. These analytical expressions of loss factors
can be used also in a single rectangular resonant cavity. It is shown that the
potential application of a rectangular accelerating structure is to accelerate
a flat beam in a linear collider.


title:
Probability density function of the Cartesian x-coordinate of the random
  point inside the hypersphere

abstract:
  Consider randomly picked points inside the n-dimensional unit hypersphere
centered at the origin of the Cartesian coordinate system. The Cartesian
coordinates of the points are random variables, which form an n-dimensional
vector for each point. Observing only the x-coordinate I obtained its
probability density function (PDF). I show that it is related to the Gaussian
distribution: in limit its companion PDF?? converges to the PDF of the standard
normal distribution.


title: Revisiting Circular-Based Random Node Simulation

abstract:
  In literature, a stochastic model for spreading nodes in a cellular cell is
available. Despite its existence, the current method does not offer any
versatility in dealing with sectored layers. Of course, this needed
adaptability could be created synthetically through heuristic means. However,
due to selective sampling, such practice dissolves the true randomness sought.
Hence, in this paper, a universal exact scattering model is derived. Also, as
an alternative to exhaustive simulation, a generic close-form path-loss
predictor between a node and a BS is obtained. Further, using these results, an
algorithm based on the superposition principle is proposed. This will ensure
greater emulation flexibility, and attain a heterogeneous spatial density.


title:
Electrical switching dynamics and broadband microwave characteristics of
  VO2 RF devices

abstract:
  Vanadium dioxide is a correlated electron system that features a
metal-insulator phase transition (MIT) above room temperature and is of
interest in high speed switching devices. Here, we integrate VO2 into
two-terminal coplanar waveguides and demonstrate a large resistance modulation
of the same magnitude (>10^3) in both electrically (i.e. by bias voltage,
referred to as E-MIT) and thermally (T-MIT) driven transitions. We examine
transient switching characteristics of the E-MIT and observe two
distinguishable time scales for switching. We find an abrupt jump in
conductivity with a rise time of the order of 10 ns followed by an oscillatory
damping to steady state on the order of several {\mu}s. We characterize the RF
power response in the On state and find that high RF input power drives VO2
further into the metallic phase, indicating that electromagnetic
radiation-switching of the phase transition may be possible. We measure
S-parameter RF properties up to 13.5 GHz. Insertion loss is markedly flat at
2.95 dB across the frequency range in the On state and sufficient isolation of
over 25 dB is observed in the Off state. We are able to simulate the RF
response accurately using both lumped element and 3D electromagnetic models.
Extrapolation of our results suggests that optimizing device geometry can
reduce insertion loss further and maintain broadband flatness up to 40 GHz.


title:
A realization for a $\mathbb{Q}$-Hermitian variation of Hodge structure
  of Calabi-Yau type with real multiplication

abstract:
  We show that the $\mathbb{Q}$-descents of the canonical
$\mathbb{R}$-variation of Hodge structure of Calabi-Yau type over a tube domain
of type $A$ can be realized as sub-variations of Hodge structure of certain
$\mathbb{Q}$-variations of Hodge structure which are naturally associated to
abelian varieties of (generalized) Weil type.


title: Chip-firing game and partial Tutte polynomial for Eulerian digraphs

abstract:
  The Chip-firing game is a discrete dynamical system played on a graph, in
which chips move along edges according to a simple local rule. Properties of
the underlying graph are of course useful to the understanding of the game, but
since a conjecture of Biggs that was proved by Merino L\'opez, we also know
that the study of the Chip-firing game can give insights on the graph. In
particular, a strong relation between the partial Tutte polynomial $T_G(1,y)$
and the set of recurrent configurations of a Chip-firing game (with a
distinguished sink vertex) has been established for undirected graphs. A direct
consequence is that the generating function of the set of recurrent
configurations is independent of the choice of the sink for the game, as it
characterizes the underlying graph itself. In this paper we prove that this
property also holds for Eulerian directed graphs (digraphs), a class on the way
from undirected graphs to general digraphs. It turns out from this property
that the generating function of the set of recurrent configurations of an
Eulerian digraph is a natural and convincing candidate for generalizing the
partial Tutte polynomial $T_G(1,y)$ to this class. Our work also gives some
promising directions of looking for a generalization of the Tutte polynomial to
general digraphs.


title: Phase structure of hot dense QCD by a histogram method

abstract:
  We study the phase structure of QCD at high temperature and density by
lattice QCD simulations adopting a histogram method. The quark mass dependence
and the chemical potential dependence of the nature of phase transition are
investigated focusing on the probability distribution function (histogram). The
shape of the distribution function changes with the quark mass and chemical
potential. Through the shape of the distribution, the critical surface which
separates the first order transition and crossover regions in the heavy quark
region is determined for the (2+1)-flavor case. Moreover, we determined the
critical point at finite density for two-flavor QCD with an intermediate quark
mass, using a Gaussian approximation of the complex phase distribution of the
quark determinant. The chemical potential dependence of the critical quark mass
is also evaluated in the situation where two light quarks and many massive
quarks exist. We find that the first order transition region becomes wider with
the chemical potential in the many-flavor QCD.


title: Negative K-groups of abelian categories

abstract: We prove that negative K-groups of small abelian categories are trivial.


title:
Generation of Multiple Dirac Cones in Graphene under Double-periodic and
  Quasiperiodic Potentials

abstract:
  We investigate generation of new Dirac cones in graphene under
double-periodic and quasiperiodic superlattice potentials. We first show that
double-periodic potentials generate the Dirac cones sporadically, following the
Diophantine equation, in spite of the fact that double-periodic potentials are
also periodic ones, for which previous studies predict consecutive appearance
of the cones. The sporadic appearance is due to the fact that the dispersion
relation of graphene is linear only up to an energy cutoff. We then show that
quasiperiodic potentials generate the new Dirac cones densely with its density
depending on the energy. We also extend the above predictions to other
materials of Dirac electrons with different energy cutoffs of the linear
dispersion.


title: Higher-order discrete variational problems with constraints

abstract:
  An interesting family of geometric integrators for Lagrangian systems can be
defined using discretizations of the Hamilton's principle of critical action.
This family of geometric integrators is called variational integrators.
  In this paper, we derive new variational integrators for higher-order
lagrangian mechanical system subjected to higher-order constraints. From the
discretization of the variational principles, we show that our methods are
automatically symplectic and, in consequence, with a very good energy behavior.
Additionally, the symmetries of the discrete Lagrangian imply that momenta is
conserved by the integrator. Moreover, we extend our construction to
variational integrators where the lagrangian is explicitly time-dependent.
Finally, some motivating applications of higher-order problems are considered;
in particular, optimal control problems for explicitly time-dependent
underactuated systems and an interpolation problem on Riemannian manifolds.


title: Non-abelian Hodge theory for algebraic curves in characteristic p

abstract:
  Let G be a reductive group over an algebraically closed field of positive
characteristic. Let C be a smooth projective curve over k. We give a
description of the moduli space of flat G-bundles in terms of the moduli space
of G-Higgs bundles over the Frobenius twist C' of C. This description can be
regarded as the non-abelian Hodge theory for curves in positive characteristic.


title:
Emergence of Reflectionless Scattering from Linearizations of Integrable
  PDEs around Solitons

abstract:
  We present four examples of integrable partial differential equations (PDEs)
of mathematical physics that---when linearized around a stationary
soliton---exhibit scattering without reflection at {\it all} energies. Starting
from the most well-known and the most empirically relevant phenomenon of the
transparency of one-dimensional bright bosonic solitons to Bogoliubov
excitations, we proceed to the sine-Gordon, Korteweg-de Vries, and Liouville's
equation whose stationary solitons also support our assertion. The proposed
connection between integrability and reflectionless scattering seems to span at
least two distinct paradigms of integrability: S-integrability in the first
three cases, and C-integrability in the last one. We argue that the
transparency of linearized integrable PDEs is necessary to ensure that they can
support the transparency of stationary solitons in the original integrable
PDEs. As contrasting cases, the analysis is further extended to cover two
non-integrable systems: a sawtooth-Gordon and a $\phi^4$ model.

categories: cond-mat.quant-gas math-ph math.MP nlin.PS nlin.SI


title:
Effect of substrate temperature on the spin transport property in
  C60-based spin valve devices

abstract:
  We report the effect of the substrate temperature on the magnetoresistance
(MR) of the C60-based spin valve (SV) devices with the sandwich configuration
of La0.67Sr0.33MnO3 (LSMO)/C60/cobalt (Co). The C60 interlayer deposited at
different substrate temperatures resulted in four types of devices. We observed
all types of devices showed a monotonic increase in MR ratio with the substrate
temperature. And more interesting, an especially large MR (28.5%) were obtained
in the device fabricated at higher substrate temperature, while for the other
types of devices, the MR magnitudes were just about a few percent. Based on the
I-V measurements, as well as SEM and AFM characteristics, we have obtained that
the higher substrate temperature can cause many pits and hollows in the organic
film, and these pits will increase the tunneling probability of spin-polarized
carriers from one ferromagnetic electrode to the other.


title:
The nucleation parameter for heavy-ion induced bubble nucleation in
  superheated emulsion detector

abstract:
  The values of the nucleation parameter, k, for bubble nucleation induced by
high energy heavy ions 12C (180 MeV/u), 20Ne (400 MeV/u) and 28Si (350 MeV/u)
in superheated emulsion detector are determined by comparing the experimentally
obtained normalized count rates with those obtained from simulations done using
the GEANT3.21 simulation code. The results show that the nucleation parameter
depends on the mass number of the incident heavy ions, and decreases with
increasing mass number.


title: The expected degree of minimal spanning forests

abstract:
  We give a lower bound on the expected degree of the free minimal spanning
forest of a vertex transitive graph in terms of its spectral radius. This
result answers a question of Lyons-Peres-Schramm and simplifies the
Gaboriau-Lyons proof of the measurable-group-theoretic solution to von
Neumann's problem. In the second part we study a relative version of the free
minimal spanning forest. As a consequence of this study we can show that
non-torsion unitarizable groups have fixed price one.


title: Kite Pseudo Effect Algebras

abstract:
  We define a new class of pseudo effect algebras, called kite pseudo effect
algebras, which is connected with partially ordered groups not necessarily with
strong unit. In such a case, starting even with an Abelian po-group, we can
obtain a noncommutative pseudo effect algebra. We show how such kite pseudo
effect algebras are tied with different types of the Riesz Decomposition
Properties. Kites are so-called perfect pseudo effect algebras, and we define
conditions when kite pseudo effect algebras have the least non-trivial normal
ideal.


title:
Remarks on the asymptotically discretely self-similar solutions of the
  Navier-Stokes and the Euler equations

abstract:
  We study scenarios of self-similar type blow-up for the incompressible
Navier-Stokes and the Euler equations. The previous notions of the discretely
(backward) self-similar solution and the asymptotically self-similar solution
are generalized to the locally asymptotically discretely self-similar solution.
We prove that there exists no such locally asymptotically discretely
self-similar blow-up for the 3D Navier-Stokes equations if the blow-up profile
is a time periodic function belonging to $C^1(\Bbb R ; L^3(\Bbb R^3)\cap C^2
(\Bbb R^3))$. For the 3D Euler equations we show that the scenario of
asymptotically discretely self-similar blow-up is excluded if the blow-up
profile satisfies suitable integrability conditions.


title:
Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski
  4-Space E4-1

abstract:
  In this paper, we study spacelike rotational surfaces which are called boost
invariant surfaces in Minkowski 4-space E41. We give necessary and sufficient
condition for flat spacelike rotational surface to have pointwise 1-type Gauss
map. Also, we obtain a characterization for boost invariant marginally trapped
surface with pointwise 1-type Gauss map.


title:
Nonequilibrium dynamical mean-field theory based on weak-coupling
  perturbation expansions: Application to dynamical symmetry breaking in the
  Hubbard model

abstract:
  We discuss the general formalism and validity of weak-coupling perturbation
theory as an impurity solver for nonequilibrium dynamical mean-field theory.
The method is implemented and tested in the Hubbard model, using expansions up
to fourth order for the paramagnetic phase at half filling and third order for
the antiferromagnetic and paramagnetic phase away from half filling. We explore
various types of weak-coupling expansions and examine the accuracy and
applicability of the methods for equilibrium and nonequilibrium problems. We
find that in most cases an expansion of local self-energy diagrams including
all the tadpole diagrams with respect to the Weiss Green's function
(bare-diagram expansion) gives more accurate results than other schemes such as
self-consistent perturbation theory using the fully interacting Green's
function (bold-diagram expansion). In the paramagnetic phase at half filling,
the fourth-order bare expansion improves the result of the second-order
expansion in the weak-coupling regime, while both expansions suddenly fail at
some intermediate interaction strength. The higher-order bare perturbation is
especially advantageous in the antiferromagnetic phase near half filling. We
use the third-order bare perturbation expansion within the nonequilibrium
dynamical mean-field theory to study dynamical symmetry breaking from the
paramagnetic to the antiferromagnetic phase induced by an interaction ramp in
the Hubbard model. The results show that the order parameter, after an initial
exponential growth, exhibits an amplitude oscillation around a nonthermal value
followed by a slow drift toward the thermal value. The transient dynamics seems
to be governed by a nonthermal critical point, associated with a nonthermal
universality class, which is distinct from the conventional Ginzburg-Landau
theory.


title:
Probabilistic Solutions to Differential Equations and their Application
  to Riemannian Statistics

abstract:
  We study a probabilistic numerical method for the solution of both boundary
and initial value problems that returns a joint Gaussian process posterior over
the solution. Such methods have concrete value in the statistics on Riemannian
manifolds, where non-analytic ordinary differential equations are involved in
virtually all computations. The probabilistic formulation permits marginalising
the uncertainty of the numerical solution such that statistics are less
sensitive to inaccuracies. This leads to new Riemannian algorithms for mean
value computations and principal geodesic analysis. Marginalisation also means
results can be less precise than point estimates, enabling a noticeable
speed-up over the state of the art. Our approach is an argument for a wider
point that uncertainty caused by numerical calculations should be tracked
throughout the pipeline of machine learning algorithms.


title: Sejong Open Cluster Survey (SOS). 0. Target Selection and Data Analysis

abstract:
  Star clusters are superb astrophysical laboratories containing cospatial and
coeval samples of stars with similar chemical composition. We have initiated
the Sejong Open cluster Survey (SOS) - a project dedicated to providing
homogeneous photometry of a large number of open clusters in the SAAO
Johnson-Cousins' $UBVI$ system. To achieve our main goal, we have paid much
attention to the observation of standard stars in order to reproduce the SAAO
standard system.
  Many of our targets are relatively small, sparse clusters that escaped
previous observations. As clusters are considered building blocks of the
Galactic disk, their physical properties such as the initial mass function, the
pattern of mass segregation, etc. give valuable information on the formation
and evolution of the Galactic disk. The spatial distribution of young open
clusters will be used to revise the local spiral arm structure of the Galaxy.
In addition, the homogeneous data can also be used to test stellar evolutionary
theory, especially concerning rare massive stars. In this paper we present the
target selection criteria, the observational strategy for accurate photometry,
and the adopted calibrations for data analysis such as color-color relations,
zero-age main sequence relations, Sp - Mv relations, Sp - Teff relations, Sp -
color relations, and Teff - BC relations. Finally we provide some data analysis
such as the determination of the reddening law, the membership selection
criteria, and distance determination.


title:
Pre-saddle neutron multiplicity for fission reactions induced by heavy
  ions and light particles

abstract:
  Pre-saddle neutron multiplicity has been calculated for several fission
reactions induced by heavy ions and light particles. Experimentally, it is
impossible to determine the contribution of neutrons being emitted before the
saddle point and those emitted between the saddle and the scission points.
Determination of the pre-saddle neutron multiplicity in our research is based
on the comparison between the experimental anisotropies and those predicted by
the standard saddle-point statistical model. Analysis of the results shows that
the pre-saddle neutron multiplicity depends on the fission barrier height and
stability of the compound nucleus. In heavy ion induced fission, the number of
pre-saddle neutrons decreases with increasing the excitation energy of the
compound nucleus. A main cause of this behavior is due to a reduction in the
ground state-to-saddle point transition time with increasing the excitation
energy of the compound nucleus. Whereas in induced fission by light particles,
the number of pre-saddle neutrons increases with increasing the excitation
energy of the compound nucleus.


title: Bak-Tang-Wiesenfeld Model in the Finite Range Random Link Lattice

abstract:
  We consider the BTW model in random link lattices with finite range
interaction (RLFRI). The degree distribution for nodes is considered to be
uniform in the interval $(0,n_0)$. We numerically calculate the exponents of
the distribution functions in terms of $(n_0,R)$ in which $R$ is the range of
interactions. Dijkstra radius is utilized to calculate the fractal dimension of
the avalanches. Our analysis shows that there is, at least one length scale
($r_0(n_0,R)$) in which the fractal dimension is changed. We find that for the
scales smaller than $r_0(n_0,R)$, which is typically one decade, the fractal
dimension is nearly independent of $n_0$ and $R$ and is equal to $1.4$, i.e.
close to that of the BTW in the regular lattice ($1.25$). Using this fact and
other analysis, we conclude that the BTW-type behaviors are dominant for small
values of $n_0$ and $R$, whereas for large values of these parameters a new
regime is seen in which the exponent of distribution function of avalanche
masses is nearly $1.4$. We also numerically calculate the explicit form of the
\textit{number of unstable nodes} (NUN) as a time dependent process and show
that for regular lattice it is (up to a normalization) proportional to a one
dimensional Weiner process and for RLFRI it acquires a drift term. Using this
dynamical variable it is numerically shown that we can not continuously
approach the regular lattice limit by decreasing $R$.


title:
Efficient and Secure Routing Protocol for Wireless Sensor Networks
  through SNR based Dynamic Clustering Mechanisms

abstract:
  Advances in Wireless Sensor Network Technology (WSN) have provided the
availability of small and low-cost sensor with capability of sensing various
types of physical and environmental conditions, data processing and wireless
communication. In WSN, the sensor nodes have a limited transmission range, and
their processing and storage capabilities as well as their energy resources are
limited. Triple Umpiring System (TUS) has already been proved its better
performance on Wireless Sensor Networks. Clustering technique provides an
effective way to prolong the lifetime of WSN. In this paper, we modified the Ad
hoc on demand Distance Vector Routing (AODV) by incorporating Signal to Noise
Ratio (SNR) based dynamic clustering. The proposed scheme Efficient and Secure
Routing Protocol for Wireless Sensor Networks through SNR based dynamic
Clustering mechanisms (ESRPSDC) can partition the nodes into clusters and
select the Cluster Head (CH) among the nodes based on the energy and Non
Cluster Head (NCH) nodes join with a specific CH based on SNR Values. Error
recovery has been implemented during Inter cluster routing itself in order to
avoid end-toend error recovery. Security has been achieved by isolating the
malicious nodes using sink based routing pattern analysis. Extensive
investigation studies using Global Mobile Simulator (GloMoSim) showed that this
Hybrid ESRP significantly improves the Energy efficiency and Packet Reception
Rate (PRR) compared to SNR unaware routing algorithms like Low Energy Aware
Adaptive Clustering Hierarchy (LEACH) and Power- Efficient Gathering in Sensor
Information Systems (PEGASIS).


title:
Transition from wave turbulence to dynamical crumpling in vibrated
  elastic plates

abstract:
  We study the dynamical regime of wave turbulence of a vibrated thin elastic
plate based on experimental and numerical observations. We focus our study to
the strongly non linear regime described in a previous letter by N. Yokoyama &
M. Takaoka. At small forcing, a weakly non linear regime is compatible with the
Weak Turbulence Theory when the dissipation is localized at high wavenumber.
When the forcing intensity is increased, a strongly non linear regime emerges:
singular structures dominate the dynamics at large scale whereas at small
scales the weak turbulence is still present. A turbulence of singular
structures, with folds and D-cones, develops that alters significantly the
energy spectra and causes the emergence of intermittency.


title: Noise assisted Ramsey interferometry

abstract:
  I analyze a metrological strategy for improving the precision of frequency
estimation via Ramsey interferometry with strings of atoms in the presence of
correlated dephasing. This strategy does not employ entangled states, but
rather a product state which evolves into a stationary state under the
influence of correlated dephasing. It is shown that by using this state an
improvement in precision compared to standard Ramsey interferometry can be
gained. This improvement is not an improvement in scaling, i.e. the estimation
precision has the same scaling with the number of atoms as the standard quantum
limit, but an improvement proportional to the free evolution time in the Ramsey
interferometer. Since a stationary state is used, this evolution time can be
substantially larger than in standard Ramsey interferometry which is limited by
the coherence time of the atoms.


title: The Fiat-Shamir Transformation in a Quantum World

abstract:
  The Fiat-Shamir transformation is a famous technique to turn identification
schemes into signature schemes. The derived scheme is provably secure in the
random-oracle model against classical adversaries. Still, the technique has
also been suggested to be used in connection with quantum-immune identification
schemes, in order to get quantum-immune signature schemes. However, a recent
paper by Boneh et al. (Asiacrypt 2011) has raised the issue that results in the
random-oracle model may not be immediately applicable to quantum adversaries,
because such adversaries should be allowed to query the random oracle in
superposition. It has been unclear if the Fiat-Shamir technique is still secure
in this quantum oracle model (QROM).
  Here, we discuss that giving proofs for the Fiat-Shamir transformation in the
QROM is presumably hard. We show that there cannot be black-box extractors, as
long as the underlying quantum-immune identification scheme is secure against
active adversaries and the first message of the prover is independent of its
witness. Most schemes are of this type. We then discuss that for some schemes
one may be able to resurrect the Fiat-Shamir result in the QROM by modifying
the underlying protocol first. We discuss in particular a version of the
Lyubashevsky scheme which is provably secure in the QROM.


title: Localization and Compactness in Bergman and Fock spaces

abstract:
  In this paper we study the compactness of operators on the Bergman space of
the unit ball and on very generally weighted Bargmann-Fock spaces in terms of
the behavior of their Berezin transforms and the norms of the operators acting
on reproducing kernels. In particular, in the Bergman space setting we show how
a vanishing Berezin transform combined with certain (integral) growth
conditions on an operator $T$ are sufficient to imply that the operator is
compact. In the weighted Bargmann-Fock space setting we show that the
reproducing kernel thesis for compactness holds for operators satisfying
similar growth conditions. The main results extend the results of Xia and Zheng
to the case of the Bergman space when $1 < p < \infty$, and in the weighted
Bargmann-Fock space setting, our results provide new, more general conditions
that imply the work of Xia and Zheng via a more familiar approach that can also
handle the $1 < p < \infty$ case.


title: Globally regular instability of $AdS_3$

abstract:
  We consider three-dimensional AdS gravity minimally coupled to a massless
scalar field and study numerically the evolution of small smooth circularly
symmetric perturbations of the $AdS_3$ spacetime. As in higher dimensions, for
a large class of perturbations, we observe a turbulent cascade of energy to
high frequencies which entails instability of $AdS_3$. However, in contrast to
higher dimensions, the cascade cannot be terminated by black hole formation
because small perturbations have energy below the black hole threshold. This
situation appears to be challenging for the cosmic censor. Analysing the energy
spectrum of the cascade we determine the width $\rho(t)$ of the analyticity
strip of solutions in the complex spatial plane and argue by extrapolation that
$\rho(t)$ does not vanish in finite time. This provides evidence that the
turbulence is too weak to produce a naked singularity and the solutions remain
globally regular in time, in accordance with the cosmic censorship hypothesis.


title: On the uniqueness sets in the Fock space

abstract:
  It was known to von Neumann in the 1950's that the integer lattice
$\mathbb{Z}^2$ forms a uniqueness set for the Bargmann-Fock space. It was later
demonstrated by Seip and Wallst\'en that a sequence of points $\Gamma$ that is
uniformly close to the integer lattice is still a uniqueness set. We show in
this paper that the uniqueness sets for the Fock space are preserved under much
more general perturbations.


title:
On characterization of Poisson integrals of Schrodinger operators with
  BMO traces

abstract:
  Let L be a Schrodinger operator of the form L=-\Delta+V acting on L^2(Rn)
where the nonnegative potential V belongs to the reverse Holder class Bq for
some q>= n. Let BMO_L(Rn) denote the BMO space on Rn associated to the
Schrodinger operator L. In this article we will show that a function f in
BMO_L(Rn) is the trace of the solution of L'u=-u_tt+Lu=0, u(x,0)= f(x), where u
satisfies a Carleson condition. Conversely, this Carleson condition
characterizes all the L-harmonic functions whose traces belong to the space
BMO_L(Rn). This result extends the analogous characterization founded by Fabes,
Johnson and Neri for the classical BMO space of John and Nirenberg.


title:
Two-dimensional crystals of Rydberg excitations in a resonantly driven
  lattice gas

abstract:
  The competition between resonant optical excitation of Rydberg states of
atoms and their strong, long-range van der Waals interaction results in spatial
ordering of Rydberg excitations in a two-dimensional lattice gas, as observed
in a recent experiment of Schau{\ss} et al. [Nature 491, 87 (2012)]. Here we
use semiclassical Monte Carlo simulations to obtain stationary states for
hundreds of atoms in finite-size lattices. We show the formation of regular
spatial structures of Rydberg excitations in a system of increasing size, and
find highly sub-Poissonian distribution of the number of Rydberg excitations
characterized by a large negative value of the Mandel Q parameter which is
nearly independent of the system size.


title: On congruences of Galois representations of number fields

abstract:
  We give a criterion for two l-adic Galois representations of an algebraic
number field to be isomorphic when restricted to a decomposition group, in
terms of the global representations mod l. This is applied to prove a
generalization of a conjecture of Rasmussen-Tamagawa under a semistablity
condition, extending some results of one of the authors. It is also applied to
prove a congruence result on the Fourier coefficients of modular forms.


title:
Correlation of Automorphism Group Size and Topological Properties with
  Program-size Complexity Evaluations of Graphs and Complex Networks

abstract:
  We show that numerical approximations of Kolmogorov complexity (K) applied to
graph adjacency matrices capture some group-theoretic and topological
properties of graphs and empirical networks ranging from metabolic to social
networks. That K and the size of the group of automorphisms of a graph are
correlated opens up interesting connections to problems in computational
geometry, and thus connects several measures and concepts from complexity
science. We show that approximations of K characterise synthetic and natural
networks by their generating mechanisms, assigning lower algorithmic randomness
to complex network models (Watts-Strogatz and Barabasi-Albert networks) and
high Kolmogorov complexity to (random) Erdos-Renyi graphs. We derive these
results via two different Kolmogorov complexity approximation methods applied
to the adjacency matrices of the graphs and networks. The methods used are the
traditional lossless compression approach to Kolmogorov complexity, and a
normalised version of a Block Decomposition Method (BDM) measure, based on
algorithmic probability theory.


title:
Estimates on the non-real eigenvalues of regular indefinite
  Sturm-Liouville problems

abstract:
  Regular Sturm-Liouville problems with indefinite weight functions may possess
finitely many non-real eigenvalues. In this note we prove explicit bounds on
the real and imaginary parts of these eigenvalues in terms of the coefficients
of the differential expression.


title:
Study on collimation and shielding of the back-streaming neutrons at the
  CSNS target

abstract:
  The back-streaming neutrons from the spallation target at CSNS are very
intense, and can pose serious damage problems for the devices in the
accelerator-target interface region. To tackle the problems, a possible scheme
for this region was studied, namely a specially designed optics for the proton
beam line produces two beam waists, and two collimators are placed at the two
waist positions to maximize the collimation effect of the back-streaming
neutrons. Detailed Monte Carlo simulations with the beams in the two different
CSNS phases show the effectiveness of the collimation system, and the radiation
dose rate decreases largely in the interface section. This can ensure the use
of epoxy coils for the last magnets and other devices in the beam transport
line with reasonable lifetimes, e.g. thirty years. The design philosophy for
such an accelerator-target interface region can also be applicable to other
high-power proton beam applications.


title: Online Tracking of a Predictable Drifting Parameter of a Time Series

abstract:
  We propose an online algorithm for tracking a multidimensional time-varying
parameter of a time series, which is also allowed to be a predictable process
with respect to the underlying time series. The algorithm is driven by a gain
function. Under assumptions on the gain, we derive uniform non-asymptotic error
bounds on the tracking algorithm in terms of chosen step size for the algorithm
and the variation of the parameter of interest. We also outline how appropriate
gain functions can be constructed. We give several examples of different
variational setups for the parameter process where our result can be applied.
The proposed approach covers many frameworks and models (including the
classical Robbins-Monro and Kiefer-Wolfowitz procedures) where stochastic
approximation algorithms comprise the main inference tool for the data
analysis. We treat in some detail a couple of specific models.


title: Parallel Processing of Large Graphs

abstract:
  More and more large data collections are gathered worldwide in various IT
systems. Many of them possess the networked nature and need to be processed and
analysed as graph structures. Due to their size they require very often usage
of parallel paradigm for efficient computation. Three parallel techniques have
been compared in the paper: MapReduce, its map-side join extension and Bulk
Synchronous Parallel (BSP). They are implemented for two different graph
problems: calculation of single source shortest paths (SSSP) and collective
classification of graph nodes by means of relational influence propagation
(RIP). The methods and algorithms are applied to several network datasets
differing in size and structural profile, originating from three domains:
telecommunication, multimedia and microblog. The results revealed that
iterative graph processing with the BSP implementation always and
significantly, even up to 10 times outperforms MapReduce, especially for
algorithms with many iterations and sparse communication. Also MapReduce
extension based on map-side join usually noticeably presents better efficiency,
although not as much as BSP. Nevertheless, MapReduce still remains the good
alternative for enormous networks, whose data structures do not fit in local
memories.


title:
A Transferable H2O Interaction Potential Based on a Single Center
  Multipole Expansion: SCME

abstract:
  A transferable potential energy function for describing the interaction
between water molecules is presented. The electrostatic interaction is
described rigorously using a multipole expansion. Only one expansion center is
used per molecule to avoid the introduction of monopoles. This single center
approach turns out to converge and give close agreement with ab initio
calculations when carried out up to and including the hexadecapole. Both dipole
and quadrupole polarizability is included. All parameters in the electrostatic
interaction as well as the dispersion interaction are taken from ab initio
calculations or experimental measurements of a single water molecule. The
repulsive part of the interaction is parametrized to fit ab initio calculations
of small water clusters and experimental measurements of ice Ih. The
parametrized potential function was then used to simulate liquid water and the
results agree well with experiment, even better than simulations using some of
the point charge potentials fitted to liquid water. The evaluation of the new
interaction potential for condensed phases is fast because point charges are
not present and the interaction can, to a good approximation, be truncated at a
finite range.


title:
Gas and dust in the TW Hydrae Association as seen by the Herschel Space
  Observatory

abstract:
  Context. Circumstellar discs are the places where planets form, therefore
knowledge of their evolution is crucial for our understanding of planet
formation. The Herschel Space Observatory is providing valuable data for
studying disc systems, thanks to its sensitivity and wavelength coverage. This
paper is one of several devoted to analysing and modelling Herschel-PACS
observations of various young stellar associations from the GASPS Open Time Key
Programme. Aims. The aim of this paper is to elucidate the gas and dust
properties of circumstellar discs in the 10 Myr TW Hya Association (TWA) using
new far-infrared (IR) imaging and spectroscopy from Herschel-PACS. Methods. We
obtained far-IR photometric data at 70, 100, and 160 microns of 14 TWA members;
spectroscopic observations centred on the [OI] line at 63.18 microns were also
obtained for 9 of the 14. The new photometry for each star was incorporated
into its full spectral energy distribution (SED). Results. We detected excess
IR emission that is characteristic of circumstellar discs from five TWA
members, and computed upper limits for another nine. Two TWA members (TWA 01
and TWA 04B) also show [OI] emission at 63.18 microns. Discs in the TWA
association display a variety of properties, with a wide range of dust masses
and inner radii, based on modified blackbody modelling. Both transitional and
debris discs are found in the sample. Models for sources with a detected IR
excess give dust masses in the range from 0.15 Msun to 63 Msun.


title:
A convergent scheme for Hamilton-Jacobi equations on a junction:
  application to traffic

abstract:
  In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed
on a ``junction'', that is to say the union of a finite number of half-lines
with a unique common point. For this continuous HJ problem, we propose a finite
difference scheme and prove two main results. As a first result, we show bounds
on the discrete gradient and time derivative of the numerical solution. Our
second result is the convergence (for a subsequence) of the numerical solution
towards a viscosity solution of the continuous HJ problem, as the mesh size
goes to zero. When the solution of the continuous HJ problem is unique, we
recover the full convergence of the numerical solution. We apply this scheme to
compute the densities of cars for a traffic model. We recover the well-known
Godunov scheme outside the junction point and we give a numerical illustration.


title: Dynamical mass of the O-type supergiant in Zeta Orionis A

abstract:
  A close companion of Zeta Orionis A was found in 2000 with the Navy Precision
Optical Interferometer (NPOI), and shown to be a physical companion. Because
the primary is a supergiant of type O, for which dynamical mass measurements
are very rare, the companion was observed with NPOI over the full 7-year orbit.
Our aim was to determine the dynamical mass of a supergiant that, due to the
physical separation of more than 10 AU between the components, cannot have
undergone mass exchange with the companion. The interferometric observations
allow measuring the relative positions of the binary components and their
relative brightness. The data collected over the full orbital period allows all
seven orbital elements to be determined. In addition to the interferometric
observations, we analyzed archival spectra obtained at the Calar Alto, Haute
Provence, Cerro Armazones, and La Silla observatories, as well as new spectra
obtained at the VLT on Cerro Paranal. In the high-resolution spectra we
identified a few lines that can be associated exclusively to one or the other
component for the measurement of the radial velocities of both. The combination
of astrometry and spectroscopy then yields the stellar masses and the distance
to the binary star. The resulting masses for components Aa of 14.0 solar masses
and Ab of 7.4 solar masses are low compared to theoretical expectations, with a
distance of 294 pc which is smaller than a photometric distance estimate of 387
pc based on the spectral type B0III of the B component. If the latter (because
it is also consistent with the distance to the Orion OB1 association) is
adopted, the mass of the secondary component Ab of 14 solar masses would agree
with classifying a star of type B0.5IV. It is fainter than the primary by about
2.2 magnitudes in the visual. The primary mass is then determined to be 33
solar masses.


title:
A new algorithm for complex non orthogonal joint diagonalization based
  on Shear and Givens rotations

abstract:
  This paper introduces a new algorithm to approximate non orthogonal joint
diagonalization (NOJD) of a set of complex matrices. This algorithm is based on
the Frobenius norm formulation of the JD problem and takes advantage from
combining Givens and Shear rotations to attempt the approximate joint
diagonalization (JD). It represents a non trivial generalization of the JDi
(Joint Diagonalization) algorithm (Souloumiac 2009) to the complex case. The
JDi is first slightly modified then generalized to the CJDi (i.e. Complex JDi)
using complex to real matrix transformation. Also, since several methods exist
already in the literature, we propose herein a brief overview of existing NOJD
algorithms then we provide an extensive comparative study to illustrate the
effectiveness and stability of the CJDi w.r.t. various system parameters and
application contexts.


title:
Colloidal analogues of charged and uncharged polymer chains with tunable
  stiffness

abstract:
  Herein, we describe new methods to produce colloidal particle chains of three
stiffness regimes that can be observed on a single-particle level, that is, on
the level of the monomers that make up the chain; the chains can even be
observed in concentrated systems without using molecular tracers. These methods
rely on the following: dipolar interactions induced by external electric fields
in combination with long-range charge repulsion to assemble the particles into
chains only, and a bonding step to ensure that the particles remain assembled
as chains even after the external field is switched off. We can control the
length and the flexibility of the chains. Additionally, we demonstrate that our
method is generally applicable by using it to prepare several other colloidal
polymers, such as block-copolymer chains, which are formed by combining rigid
and flexible chains, spherocylinders, which are formed by heating rigid chains,
and both atactic and isotactic chains, which are formed from
heterodimericparticle monomer units. We demonstrate that the flexibility of the
charged chains can be tuned from very rigid (rod-like) to semiflexible (as in
the simplified polymer model of beads on a string) by changing the ionic
strength. This method can, in principle, be used with any type of colloidal
particle. Moreover, our systems can be matched in terms of refractive index and
density, so that bulk measurements in real space are possible.


title: Singularity Problem in Teleparallel Dark Energy Models

abstract:
  We study future singularity in teleparallel dark energy models, particularly
its behavior and its (non)occurrence in the observationally viable models. For
the models with a general self-potential of the scalar field, we point out that
both at early times and in the future near the singularity the behavior of dark
energy can be described by the analytic solutions of the scalar field we
obtained for the model with no self-potential. As to the (non)occurrence in the
viable models, we consider a natural binding-type self-potential, the quadratic
potential, when fitting observational data, and illustrate the constraining
region up to the $3\sigma$ confidence level as well as the region where a
singularity will occur. As a result, the singularity region is outside the
$3\sigma$ constraint. Thus, although the future singularity problem potentially
exists in teleparallel dark energy models, the observationally viable models
may not suffer this problem.


title:
Algorithms and Stability Analysis for Content Distribution over Multiple
  Multicast Trees

abstract:
  The paper investigates theoretical issues in applying the universal swarming
technique to efficient content distribution. In a swarming session, a file is
distributed to all the receivers by having all the nodes in the session
exchange file chunks. By universal swarming, not only all the nodes in the
session, but also some nodes outside the session may participate in the chunk
exchange to improve the distribution performance. We present a universal
swarming model where the chunks are distributed along different Steiner trees
rooted at the source and covering all the receivers. We assume chunks arrive
dynamically at the sources and focus on finding stable universal swarming
algorithms. To achieve the throughput region, universal swarming usually
involves a tree-selection subproblem of finding a min-cost Steiner tree, which
is NP-hard. We propose a universal swarming scheme that employs an approximate
tree-selection algorithm. We show that it achieves network stability for a
reduced throughput region, where the reduction ratio is no more than the
approximation ratio of the tree-selection algorithm. We propose a second
universal swarming scheme that employs a randomized tree-selection algorithm.
It achieves the throughput region, but with a weaker stability result. The
proposed schemes and their variants are expected to be useful for
infrastructure-based content distribution networks with massive content and
relatively stable network environment.


title: Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models

abstract:
  Based on the universal properties of a critical point in different systems
and that the QCD phase transitions fall into the same universality classes as
the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of
cumulants and higher cumulant ratios of the order parameter from the three
kinds of spin models is studied. We found that all higher cumulant ratios
change dramatically the sign near the critical temperature. The qualitative
critical behavior of the same order cumulant ratio is consistent in these three
models.


title: Double Trace Flows and Holographic RG in dS/CFT correspondence

abstract:
  If there is a dS/CFT correspondence, time evolution in the bulk should
translate to RG flows in the dual euclidean field theory. Consequently,
although the dual field is expected to be non-unitary, its RG flows will carry
an imprint of the unitary time evolution in the bulk. In this note we examine
the prediction of holographic RG in de Sitter space for the flow of double and
triple trace couplings in any proposed dual. We show quite generally that the
correct form of the field theory beta functions for the double trace couplings
is obtained from holography, provided one identifies the scale of the field
theory with (i|T|) where T is the `time' in conformal coordinates. For dS(4),
we find that with an appropriate choice of operator normalization, it is
possible to have real n-point correlation functions as well as beta functions
with real coefficients. This choice leads to an RG flow with an IR fixed point
at negative coupling unlike in a unitary theory where the IR fixed point is at
positive coupling. The proposed correspondence of Sp(N) vector models with de
Sitter Vasiliev gravity provides a specific example of such a phenomenon. For
dS(d+1) with even d, however, we find that no choice of operator normalization
exists which ensures reality of coefficients of the beta-functions as well as
absence of n-dependent phases for various n-point functions, as long as one
assumes real coupling constants in the bulk Lagrangian.


title: Reduction of polysymplectic manifolds

abstract:
  The aim of this paper is to generalize the classical Marsden-Weinstein
reduction procedure for symplectic manifolds to polysymplectic manifolds in
order to obtain quotient manifolds which in- herit the polysymplectic
structure. This generalization allows us to reduce polysymplectic Hamiltonian
systems with symmetries, such as those appearing in certain kinds of classical
field theories. As an application of this technique, an analogous to the
Kirillov-Kostant-Souriau theorem for polysymplectic manifolds is obtained and
some other mathematical examples are also analyzed. Our procedure corrects some
mistakes and inaccuracies in previous papers [29, 50] on this subject.


title: Instants in physics - point mechanics and general relativity

abstract:
  Theories in physics usually do not address ``the present''or ``the now''.
However, they usually have a precise notion of an ``instant'' (or state). I
review how this notion appears in relational point mechanics and how it
suffices to determine durations - a fact that is often ignored in modern
presentations of analytical dynamics. An analogous discussion is attempted for
General Relativity. Finally I critically remark on the difference between
relationalism in point mechanics and field theory and the problematic
foundational dependencies between fields and spacetime.


title: VSFT revisited

abstract:
  We argue validity of purely ghost kinetic operator in open string field
theory from the perspective of the modern analytic method based on the $K B c$
subalgebra. A purely ghost kinetic operator is obtained as a result of gauge
fixing string field theory around the identity based tachyon vacuum solution.
It is shown that the obtained kinetic operator is not equivalent to the
midpoint insertion of the conformal ghost which is extensively studied in
literature. We also find that the equation of motion does not allow any
nontrivial solutions.


title: Majority-vote model on Opinion-Dependent Networks

abstract:
  We study a nonequilibrium model with up-down symmetry and a noise parameter
$q$ known as majority-vote model of M.J. Oliveira $1992$ on opinion-dependent
network or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations and
finite-size scaling relations the critical exponents $\beta/\nu$, $\gamma/\nu$,
and $1/\nu$ and points $q_{c}$ and $U^*$ are obtained. After extensive
simulations, we obtain $\beta/\nu=0.230(3)$, $\gamma/\nu=0.535(2)$, and
$1/\nu=0.475(8)$. The calculated values of the critical noise parameter and
Binder cumulant are $q_{c}=0.166(3)$ and $U^*=0.288(3)$. Within the error bars,
the exponents obey the relation $2\beta/\nu+\gamma/\nu=1$ and the results
presented here demonstrate that the majority-vote model belongs to a different
universality class than the equilibrium Ising model on
Stauffer-Hohnisch-Pittnauer networks, but to the same class as majority-vote
models on some other networks.


title: A reflection approach to the broken ray transform

abstract:
  We reduce the broken ray transform on some Riemannian manifolds (with
corners) to the geodesic ray transform on another manifold, which is obtained
from the original one by reflection. We give examples of this idea and present
injectivity results for the broken ray transform using corresponding earlier
results for the geodesic ray transform. Examples of manifolds where the broken
ray transform is injective include Euclidean cones and parts of the spheres
$S^n$. In addition, we introduce the periodic broken ray transform and use the
reflection argument to produce examples of manifolds where it is injective. We
also give counterexamples to both periodic and nonperiodic cases. The broken
ray transform arises in Calder\'on's problem with partial data, and we give
implications of our results for this application.


title:
Completions of epsilon-dense partial Latin squares; quasirandom
  k-colorings of graphs

abstract:
  A classical question in combinatorics is the following:\ given a partial
Latin square $P$, when can we complete $P$ to a Latin square $L$? In this
paper, we investigate the class of \textbf{$\epsilon$-dense partial Latin
squares}:\ partial Latin squares in which each symbol, row, and column contains
no more than $\epsilon n$-many nonblank cells. Based on a conjecture of
Nash-Williams, Daykin and H\"aggkvist conjectured that all $\frac{1}{4}$-dense
partial Latin squares are completable. In this paper, we will discuss the proof
methods and results used in previous attempts to resolve this conjecture,
introduce a novel technique derived from a paper by Jacobson and Matthews on
generating random Latin squares, and use this novel technique to study $
\epsilon$-dense partial Latin squares that contain no more than $\delta n^2$
filled cells in total.
  In particular, we construct completions for all $ \epsilon$-dense partial
Latin squares containing no more than $\delta n^2$ filled cells in total, given
that $\epsilon < \frac{1}{12}, \delta < \frac{
\left(1-12\epsilon\right)^{2}}{10409}$. In particular, we show that all $9.8
\cdot 10^{-5}$-dense partial Latin squares are completable.
  We further show that such completions can always be found in polynomial time.
This contrasts a result of Colbourn. In Chapter 3, we strengthen Colbourn's
result to the claim that completing an arbitrary $\left(\frac{1}{2} +
\epsilon\right)$-dense partial Latin square is NP-complete, for any $\epsilon >
0$.
  Additional results on triangulations of graphs are found.
  In an unrelated vein, Chapter 6 explores the class of quasirandom graphs. In
specific, we study quasirandom $k$-edge colorings, and create an analogue of
Chung, Graham and Wilson's well-known results for such colorings.


title:
Near-infrared properties of classical novae: a perspective gained from
  Mount Abu Infrared Observatory

abstract:
  We review the near-infrared properties of classical novae in the J, H and K
bands at wavelengths between 1.08 to 2.4 micron. A classification system exists
for the early post-outburst optical spectra of novae on the basis of the
strength of group of non-hydrogen emission lines. A similar scheme for the
near-infrared regime, which is not available at present, is presented here. In
the optical system there are two principal classes, namely, "Fe II" and "He/N"
for novae with either prominent Fe II lines or prominent "He/N" lines. There is
also a small subset of the hybrid Fe IIb type. From spectroscopic observations
we show the differences and similarities between these classes of novae in the
near-infrared. The spectral lines common to the two principal classes arise
from H, He, N and O. However, the near-IR features that separate these two
classes are the numerous, and often strong, Carbon lines which are seen only in
the spectra of the Fe II class of novae. The dust formation process in novae is
discussed based on broad-band observations. The first-overtone carbon monoxide
(CO) detections in novae are analyzed to understand the formation and evolution
of this molecule in the nova ejecta and to discuss the observed 12C/13C ratio.


title: Minimal supersymmetry confronts $R_b$, $A^b_{FB}$ and $m_h$

abstract:
  We study the impact of the measurements of three sets of observables on the
parameter space of the constrained minimal supersymmetric Standard Model
(cMSSM), its slightly general variant, the non-universal scalar model (NUSM),
and some selected benchmark points of the 19-parameter phenomenological MSSM
(pMSSM): ($i$) the direct measurement of the Higgs boson mass $m_h \approx 125$
GeV at the CERN Large Hadron Collider (LHC); ($ii$) $Z$ boson decay width in
the $b \bar{b}$ channel normalized to its hadronic width ($R_b$), and the
forward-backward asymmetry on the $Z$-peak in the same channel $(A_{\rm
FB}^b)$; and ($iii$) several $B$-physics observables, along with $(g-2)$ of
muon. In addition, there are constraints from non-observation of superparticles
from direct searches at the LHC. In view of the recently re-estimated standard
model (SM) value of $R_b$ with improved higher order corrections, the measured
value of $R_b$ has a 1.2$\sigma$ discrepancy with its SM value, while the
corresponding discrepancy in $A_{\rm FB}^b$ is 2.5$\sigma$. MSSM contributions
from light superpartners improve the agreement of $R_b$ but worsen that of
$A_{\rm FB}^b$. We project this ($R_b$-$A_{\rm
  FB}^b$) tension {\em vis-\`{a}-vis} the constraints arising from other
observables in the parameter space of cMSSM and NUSM. We also consider a few
well-motivated pMSSM benchmark points and show that pMSSM does not fare any
better than the SM.


title:
American option of stochastic volatility model with negative Fichera
  function on degenerate boundary

abstract:
  In this paper we study a general framework of American put option with
stochastic volatility whose value function is associated with a 2-dimensional
parabolic variational inequality with degenerate boundaries. We apply PDE
methods to analyze the existences of the strong solution and the properties of
the 2-dimensional manifold for the free boundary. Thanks to the regularity
result on the solution of the underlying PDE, we can also provide the
uniqueness of the solution by the argument of the verification theorem together
with the generalized Ito's formula even though the solution may not be second
order differentiable in the space variable across the free boundary.


title: The Vela pulsar and its likely counter-jet in the K_s band

abstract:
  We report the first high spatial resolution near-infrared imaging of the Vela
pulsar in the $K_s$ band obtained with the new adaptive optics system recently
mounted on the Gemini-South telescope. For the first time, we have firmly
detected the pulsar in this band with $K_s$ $\approx$ 21\fm8, and have resolved
in detail an extended feature barely detected previously in the immediate
vicinity of the pulsar in the $J_sH$ bands. The pulsar $K_s$ flux is fully
consistent with the extension of the flat optical spectrum of the pulsar
towards the infrared and does not confirm the strong infrared flux excess in
the pulsar emission suggested earlier by the low spatial resolution data. The
extended feature is about two times brighter than the pulsar and is likely
associated with its X-ray counter-jet. It extends $\sim$ 2\asec southwards of
the pulsar along the X-ray ounter-jet and shows knot-like structures and a red
spectrum.


title:
Renormalization group calculations for wetting transitions of infinite
  order and continuously varying order. I. Local interface Hamiltonian approach

abstract:
  We study the effect of thermal fluctuations on the wetting phase transitions
of infinite order and of continuously varying order, recently discovered within
a mean-field density-functional model for three-phase equilibria in systems
with short-range forces and a two-component order parameter. Using linear
functional renormalization group (RG) calculations within a local interface
Hamiltonian approach, we show that the infinite-order transitions are robust.
The exponential singularity (implying $2-\alpha_s = \infty$) of the surface
free energy excess at infinite-order wetting as well as the precise algebraic
divergence (with $\beta_s = -1$) of the wetting layer thickness are not
modified as long as $\omega < 2$, with $\omega$ the dimensionless wetting
parameter that measures the strength of thermal fluctuations. The interface
width diverges algebraically and universally (with $\nu_{\perp} = 1/2$). In
contrast, the non-universal critical wetting transitions of finite but
continuously varying order are modified when thermal fluctuations are taken
into account, in line with predictions from earlier calculations on similar
models displaying weak, intermediate and strong fluctuation regimes.


title:
Ionospheric propagation effects for UHE neutrino detection with the
  lunar Cherenkov technique

abstract:
  Lunar Cherenkov experiments aim to detect nanosecond pulses of Cherenkov
emission produced during UHE cosmic ray or neutrino interactions in the lunar
regolith. Pulses from these interactions are dispersed, and therefore reduced
in amplitude, during propagation through the Earth's ionosphere. Pulse
dispersion must therefore be corrected to maximise the received signal to noise
ratio and subsequent chances of detection. The pulse dispersion characteristic
may also provide a powerful signature to determine the lunar origin of a pulse
and discriminate against pulses of terrestrial radio frequency interference
(RFI). This characteristic is parameterised by the instantaneous Total Electron
Content (TEC) of the ionosphere and therefore an accurate knowledge of the
ionospheric TEC provides an experimental advantage for the detection and
identification of lunar Cherenkov pulses. We present a new method to calibrate
the dispersive effect of the ionosphere on lunar Cherenkov pulses using lunar
Faraday rotation measurements combined with geomagnetic field models.


title: Decomposition of any quantum measurement into extremals

abstract:
  We design an efficient and constructive algorithm to decompose any
generalized quantum measurement into a convex combination of extremal
measurements. We show that if one allows for a classical post-processing step
only extremal rank-1 POVMs are needed. For a measurement with $N$ elements on a
$d$-dimensional space, our algorithm will decompose it into at most $(N-1)d+1$
extremals, whereas the best previously known upper bound scaled as $d^2$. Since
the decomposition is not unique, we show how to tailor our algorithm to provide
particular types of decompositions that exhibit some desired property.


title:
Lunar Imaging and Ionospheric Calibration for the Lunar Cherenkov
  Technique

abstract:
  The Lunar Cherenkov technique is a promising method for UHE neutrino and
cosmic ray detection which aims to detect nanosecond radio pulses produced
during particle interactions in the Lunar regolith. For low frequency
experiments, such as NuMoon, the frequency dependent dispersive effect of the
ionosphere is an important experimental concern as it reduces the pulse
amplitude and subsequent chances of detection. We are continuing to investigate
a new method to calibrate the dispersive effect of the ionosphere on lunar
Cherenkov pulses via Faraday rotation measurements of the Moon's polarised
emission combined with geomagnetic field models. We also extend this work to
include radio imaging of the Lunar surface, which provides information on the
physical and chemical properties of the lunar surface that may affect
experimental strategies for the lunar Cherenkov technique.


title: Quantum versus classical polarization states: when multipoles count

abstract:
  We advocate for a simple multipole expansion of the polarization density
matrix. The resulting multipoles are used to construct bona fide
quasiprobability distributions that appear as a sum of successive moments of
the Stokes variables; the first one corresponding to the classical picture on
the Poincare sphere. We employ the particular case of the $Q$ function to
formulate a whole hierarchy of measures that properly assess higher-order
polarization correlations.


title:
Forward-Backward and Tseng's Type Penalty Schemes for Monotone Inclusion
  Problems

abstract:
  We deal with monotone inclusion problems of the form $0\in Ax+Dx+N_C(x)$ in
real Hilbert spaces, where $A$ is a maximally monotone operator, $D$ a
cocoercive operator and $C$ the nonempty set of zeros of another cocoercive
operator. We propose a forward-backward penalty algorithm for solving this
problem which extends the one proposed by H. Attouch, M.-O. Czarnecki and J.
Peypouquet in [3]. The condition which guarantees the weak ergodic convergence
of the sequence of iterates generated by the proposed scheme is formulated by
means of the Fitzpatrick function associated to the maximally monotone operator
that describes the set $C$. In the second part we introduce a
forward-backward-forward algorithm for monotone inclusion problems having the
same structure, but this time by replacing the cocoercivity hypotheses with
Lipschitz continuity conditions. The latter penalty type algorithm opens the
gate to handle monotone inclusion problems with more complicated structures,
for instance, involving compositions of maximally monotone operators with
linear continuous ones.


title: Wheeler-De Witt equation and AdS/CFT correspondence

abstract:
  The radial Wheeler--De Witt equation on the asymptotically AdS spacetime
proposed in [9] has as its semiclassical solution the wave function that
asymptotically satisfies the conformal Ward identity, exemplifying the AdS/CFT
correspondence. In this paper we show that this results holds also in the case
of a complete quantum solution of the radial Wheeler--De Witt equation. It
turns out that if the wavefunction is expanded in the parameter $\rho$ with
$\rho\rightarrow0$ defines the asymptotic boundary of the spacetime, the
quantum loop corrections to the semiclassical wave are of subleading order.


title: Ab initio GW calculation for organic compounds (TMTSF)2PF6

abstract:
  We present an ab initio GW calculation to study dynamical effects on an
organic compound (TMTSF)2PF6. Calculated polarized reflectivities reproduce
experimental plasma edges at around 0.2 eV for E||b' and 1.0 eV for E||a. The
low-energy plasmons come out from the low-energy narrow bands energetically
isolated from other higher-energy bands, and affect the low-energy electronic
structure via the GW-type self-energy. Because of the quasi-one-dimensional
band structure, a large plasmon-induced electron scattering is found in the
low-energy occupied states along the X-M line.


title:
Radial Stellar Pulsation and Three-Dimensional Convection. II.
  Two-Dimensional Convection In Full Amplitude Radial Pulsation

abstract:
  We have developed a three-dimensional radiation hydrodynamics code to
simulate the interaction of convection and radial pulsation in classical
variable stars. One key goal is the ability to carry these simulations to full
amplitude in order to compare them with observed light curves. Previous
multi-dimensional calculations were prevented from reaching full amplitude
because of drift in the radial coordinate system, due to the algorithm defining
radial movement of the coordinate system during the pulsation cycle. We have
removed this difficulty by defining our radial coordinate flow algorithm to
require that the mass in a spherical shell remains constant for every time-step
throughout the pulsation cycle. We have used our new code to perform 2D
simulations of the interaction of radial pulsation and convection. We have made
comparisons between light curves from our 2D convective simulations with
observed light curves and find that our 2D simulated light curves are better
able to match the observed light curve shape near the red edge of the RR Lyrae
instability strip than light curves from previous 1D time dependent convective
models.


title: It from qubit: how to draw quantum contextuality

abstract:
  Wheeler's {\it observer-participancy} and the related {\it it from bit} credo
refer to quantum non-locality and contextuality. The mystery of these concepts
slightly starts unveiling if one encodes the (in)compatibilities between qubit
observables in the relevant finite geometries. The main objective of this
treatise is to outline another conceptual step forward by employing
Grothendieck's {\it dessins d'enfants} to reveal the topological and
(non)algebraic machinery underlying the measurement acts and their information
content.


title:
Numerical Study of Quantized Vortex Interaction in Complex
  Ginzburg--Landau Equation on Bounded Domains

abstract:
  In this paper, we study numerically quantized vortex dynamics and their
interaction in the two-dimensional complex Ginzburg-Landau equation (CGLE) with
a dimensionless parameter $\vep>0$ on bounded domains under either Dirichlet or
homogeneous Neumann boundary condition. We begin with a review of the reduced
dynamical laws (RDLs) for time evolution of quantized vortex centers in CGLE
and show how to solve these nonlinear ordinary differential equations
numerically. Then we present efficient and accurate numerical methods for
solving the CGLE on either a rectangular or a disk domain under either
Dirichlet or homogeneous Neumann boundary condition. Based on these efficient
and accurate numerical methods for CGLE and the RDLs, we explore rich and
complicated quantized vortex dynamics and interaction of CGLE with different
$\vep$ and under different initial physical setups, including single vortex,
vortex pair, vortex dipole and vortex lattice, compare them with those obtained
from the corresponding RDLs, and identify the cases where the RDLs agree
qualitatively and/or quantitatively as well as fail to agree with those from
CGLE on vortex interaction. Finally, we also obtain numerically different
patterns of the steady states for quantized vortex lattices in the CGLE
dynamics on bounded domains.


title:
Best proximity pair results for relatively nonexpansive mappings in
  geodesic spaces

abstract:
  Given $A$ and $B$ two nonempty subsets in a metric space, a mapping $T : A
\cup B \rightarrow A \cup B$ is relatively nonexpansive if $d(Tx,Ty) \leq
d(x,y) \text{for every} x\in A, y\in B.$ A best proximity point for such a
mapping is a point $x \in A \cup B$ such that $d(x,Tx)=\text{dist}(A,B)$. In
this work, we extend the results given in [A.A. Eldred, W.A. Kirk, P.
Veeramani, Proximal normal structure and relatively nonexpansive mappings,
Studia Math., 171 (2005), 283-293] for relatively nonexpansive mappings in
Banach spaces to more general metric spaces. Namely, we give existence results
of best proximity points for cyclic and noncyclic relatively nonexpansive
mappings in the context of Busemann convex reflexive metric spaces. Moreover,
particular results are proved in the setting of CAT(0) and uniformly convex
geodesic spaces. Finally, we show that proximal normal structure is a
sufficient but not necessary condition for the existence in $A \times B$ of a
pair of best proximity points.


title: Some Uniforme Estimates for Scalar Curvature Type Equations

abstract: We give some estimate of type sup*inf for scalar curvature type equations.


title: An exclusion process on a tree with constant aggregate hopping rate

abstract:
  We introduce a model of a totally asymmetric simple exclusion process (TASEP)
on a tree network where the aggregate hopping rate is constant from level to
level. With this choice for hopping rates the model shows the same phase
diagram as the one-dimensional case. The potential applications of our model
are in the area of distribution networks; where a single large source supplies
material to a large number of small sinks via a hierarchical network. We show
that mean field theory (MFT) for our model is identical to that of the
one-dimensional TASEP and that this mean field theory is exact for the TASEP on
a tree in the limit of large branching ratio, $b$(or equivalently large
coordination number). We then present an exact solution for the two level tree
(or star network) that allows the computation of any correlation function and
confirm how mean field results are recovered as $b\rightarrow\infty$. As an
example we compute the steady-state current as a function of branching ratio.
We present simulation results that confirm these results and indicate that the
convergence to MFT with large branching ratio is quite rapid.


title: An Analysis of issues against the adoption of Dynamic Carpooling

abstract:
  Using a private car is a transportation system very common in industrialized
countries. However, it causes different problems such as overuse of oil,
traffic jams causing earth pollution, health problems and an inefficient use of
personal time. One possible solution to these problems is carpooling, i.e.
sharing a trip on a private car of a driver with one or more passengers.
Carpooling would reduce the number of cars on streets hence providing worldwide
environmental, economical and social benefits. The matching of drivers and
passengers can be facilitated by information and communication technologies.
Typically, a driver inserts on a web-site the availability of empty seats on
his/her car for a planned trip and potential passengers can search for trips
and contact the drivers. This process is slow and can be appropriate for long
trips planned days in advance. We call this static carpooling and we note it is
not used frequently by people even if there are already many web-sites offering
this service and in fact the only real open challenge is widespread adoption.
Dynamic carpooling, on the other hand, takes advantage of the recent and
increasing adoption of Internet-connected geo-aware mobile devices for enabling
impromptu trip opportunities. Passengers request trips directly on the street
and can find a suitable ride in just few minutes. Currently there are no
dynamic carpooling systems widely used. Every attempt to create and organize
such systems failed. This paper reviews the state of the art of dynamic
carpooling. It identifies the most important issues against the adoption of
dynamic carpooling systems and the proposed solutions for such issues. It
proposes a first input on solving the problem of mass-adopting dynamic
carpooling systems.


title: Frechet differentiability of Sp norms

abstract:
  One of the long standing questions in the theory of Schatten-von Neumann
ideals of compact operators is whether their norms have the same
differentiability properties as the norms of their commutative counterparts. We
answer this question in the affirmative. A key technical observation underlying
our proof is a discovery of connection between this question and recent
affirmative resolution of L.S. Koplienko's conjecture concerning existence of
higher order spectral shift functions.


title: Nanoscopic interferometer model for spin resonance in current noise

abstract:
  We study a model for the observed phenomenon of electron spin resonance (ESR)
at the Zeeman frequency as seen by a scanning tunneling microscope (STM) via
its current noise. The model for this ESR-STM phenomenon allows the STM current
to flow in two arms of a nanoscopic interferometer, one arm has direct
tunneling from the tip to the substrate while the second arm has tunneling
through two spin states. We evaluate analytically the noise spectrum for
non-polarized leads, as relevant to the experimental setup. We show that
spin-orbit interactions allow for an interference of two tunneling paths
resulting in a resonance effect.


title: On moment indeterminacy of the Benini income distribution

abstract:
  The Benini distribution is a lognormal-like distribution generalizing the
Pareto distribution. Like the Pareto and the lognormal distributions it was
originally proposed for modeling economic size distributions, notably the size
distribution of personal income. This paper explores a probabilistic property
of the Benini distribution, showing that it is not determined by the sequence
of its moments although all the moments are finite. It also provides explicit
examples of distributions possessing the same set of moments. Related
distributions are briefly explored.


title: Form factors for semileptonic D decays

abstract:
  We study the form factors for semileptonic decays of $D$-mesons. That is, we
consider the matrix element of the weak left-handed quark current for the
transitions $D \rightarrow P$ and $D \rightarrow V$, where $P$ and $V$ are
light pseudoscalar or vector mesons, respectively. Our motivation to perform
the present study of these form factors are future calculations of non-leptonic
decay amplitudes.
  We consider the form factors within a class of chiral quark models.
Especially, we study how the Large Energy Effective Theory (LEET) limit works
for $D$-meson decays. Compared to previous work we also introduce light vector
mesons $V = \rho, K^*,...$ within chiral quark models. In order to determine
some of the parameters in our model, we use existing data and results based on
some other methods like lattice calculations, light-cone sum rules, and
heavy-light chiral perturbation theory. We also obtain some predictions within
our framework.


title:
Light-front quark model consistent with Drell-Yan-West duality and quark
  counting rules

abstract:
  We propose a phenomenological light-front wave function for hadrons with
arbitrary twist-dimension (mesons, baryons and multiquark states), which gives
the correct scaling behavior of structure functions (parton distributions) and
form factors for pions and nucleons. For other hadronic states the proposed
wave function produces form factors consistent with quark counting rules, and
gives predictions for structure functions (parton distributions). As an
application we build a light-front quark model for nucleons based on the
proposed wave function.


title: Design of an electron gun for terahertz radiation source

abstract:
  With the aim to obtain short-pulse bunches with high peak current for a
terahertz radiation source, an EC-ITC (External-Cathode Independently Tunable
Cells) RF gun was employed. As the external injecting electron source of the
ITC RF gun, a gridded DC gun plays a key role, the performance of which
determines the beam quality in the injector and transport line. In order to
make the beam well compressed in the ITC RF gun, the energy of the electrons
acquired from the gridded DC gun should be 15 KeV at most. A proper structure
of the gridded gun is shown to overcome the strong space- charge force on the
cathode, which is able to generate 6 {\mu}s beam with 4.5A current
successfully.


title: The low mass companion of HIP 45314 (HR 3672)

abstract:
  We report the discovery of a very low-mass companion to HIP 45314 (HR 3672)
located about 2.7 arcsec north-west of HR 3672 A. With four years of epoch
difference between the two observations obtained with the Very Large Telescope
we can reject by more than 4 sigma that B would be a non-moving background
object unrelated to A. HR 3672 A is a B 7-8 main sequence star with an age of
140 \pm 80 Myr and from the magnitude difference between HR 3672 A and B and
the 2MASS magnitudes, we can estimate the magnitude of HR 3672 B (K_{s}=12.42
\pm 0.28 mag) and then, for age and distance of the primary star, using models,
its luminosity and mass (0.2-0.5 M_sun). We present a reanalysis of the
probable membership of HR 3672 A to the Platais 9 cluster, and introduce a new
method for astrometric calibration of data without dedicated calibration
images. In the deepest available image (co-add of all epochs) no additional
companion candidates within 13 arcsec were detected down to 0.03 M_sun.


title: DNA Pen: A Tool for Drawing on a Molecular Canvas

abstract:
  DNA origami is an interdisciplinary area where DNA can be used as a building
block for making useful stuff at nanoscale. This work presents an open source
software DNA pen (based on the recent work of Peng Yin and his group) which can
be used (using free hand and digital molecular canvas) to draw an object at
nanoscale. Software generates error free DNA sequences which can be used in the
wet lab to create the object at the nanoscale. Using DNA pen we have drawn
several objects including the map of India and sanskrit letter "Om" from free
hand molecular canvas and digital letter DNA using digitized molecular canvas.


title: Certifiability criterion for large-scale quantum systems

abstract:
  Can one certify the preparation of a coherent, many-body quantum state by
measurements with bounded accuracy in the presence of noise and decoherence?
Here, we introduce a criterion to assess the fragility of large-scale quantum
states which is based on the distinguishability of orthogonal states after the
action of very small amounts of noise. States which do not pass this criterion
are called asymptotically incertifiable. We show that, if a coherent quantum
state is asymptotically incertifiable, there exists an incoherent mixture (with
entropy at least log 2) which is experimentally indistinguishable from the
initial state. The Greenberger-Horne-Zeilinger states are examples of such
asymptotically incertifiable states. More generally, we prove that any
so-called macroscopic superposition state is asymptotically incertifiable. We
also provide examples of quantum states that are experimentally
indistinguishable from highly incoherent mixtures, i.e., with an almost-linear
entropy in the number of qubits. Finally we show that all unique ground states
of local gapped Hamiltonians (in any dimension) are certifiable.


title: Measures maximizing topological pressure

abstract:
  We give a general method on the way of approximating equilibrium states for a
dynamical system of a compact metric space.


title: Acoustic horizons in nuclear fluids

abstract:
  We consider a hydrodynamic description of the spherically symmetric outward
flow of nuclear matter, accommodating dispersion in it as a very weak effect.
About the resulting stationary conditions in the flow, we apply an Eulerian
scheme to derive a fully nonlinear equation of a time-dependent radial
perturbation. In its linearized limit, with no dispersion, this equation
implies the static acoustic horizon of an analogue gravity model. We, however,
show that time-dependent nonlinear effects destabilize the static horizon. We
also model the perturbation as a high-frequency travelling wave, and perform a
{\it WKB} analysis, in which the effect of weak dispersion is studied
iteratively. We show that even arbitrarily small values of dispersion make the
horizon fully opaque to any acoustic disturbance propagating against the bulk
flow, with the amplitude and the energy flux of the radial perturbation
undergoing a discontinuity at the horizon, and decaying exponentially just
outside it.


title:
BRST-Invariant Deformations of Geometric Structures in Topological Field
  Theories

abstract:
  We study a Lie algebra of formal vector fields $W_n$ with its application to
the perturbative deformed holomorphic symplectic structure in the A-model, and
a Calabi-Yau manifold with boundaries in the B-model. A relevant concept in the
vertex operator algebra and the BRST cohomology is that of the elliptic genera
(the one-loop string partition function). We show that the elliptic genera can
be written in terms of spectral functions of the hyperbolic three-geometry
(which inherits the cohomology structure of BRST-like operator). We show that
equivalence classes of deformations are described by a Hochschild cohomology
theory of the DG-algebra ${\mathfrak A} = (A, Q)$, $Q
=\bar{\partial}+\partial_{\rm deform}$, which is defined to be the cohomology
of $(-1)^n Q +d_{\rm Hoch}$. Here $\bar{\partial}$ is the initial non-deformed
BRST operator while $\partial_{\rm deform}$ is the deformed part whose algebra
is a Lie algebra of linear vector fields ${\rm gl}_n$. We discuss the
identification of the harmonic structure $(HT^\bullet(X); H\Omega_\bullet(X))$
of affine space $X$ and the group ${\rm Ext}_{X}^n({\cal O}_{\triangle}, {\cal
O}_{\triangle})$ (the HKR isomorphism), and bulk-boundary deformation pairing.


title: Does cosmological expansion affect local physics?

abstract:
  In this contribution I wish to address the question whether, and how, the
global cosmological expansion influences local physics. I argue that a pseudo
Newtonian picture can be quite accurate if "expansion" is taken to be an
attribute of the inertial structure rather than of "space" in some
substantivalist sense. This contradicts the often-heard suggestion to imagine
cosmological expansion as that of "space itself". Regarding General Relativity,
I emphasise the need for proper geometric characterisations in order to
meaningfully compare localised systems in different spacetimes, like black
holes in static and expanding environments. Examples of this sort are discussed
in some detail to clearly map out the problems.


title:
Energy and particle number fluctuations in superconducting
  heterostructures

abstract:
  We consider fluctuations of the energy on a mesoscopic island coupled to two
leads. We use the Keldysh effective action formalism to derive the Langevin
equation for the energy of the island in a very general setting and show how
the Langevin equation for the case of uncorrelated tunneling events is derived
from a more general one. As an application of the theory, we consider a
superconducting island coupled to two normal metal leads and calculate the
statistics of the temperature (in the quasiequilibrium case) and the number of
quasiparticle excitations on the island.


title: Time fluctuations in a population model of adaptive dynamics

abstract:
  We study the dynamics of phenotypically structured populations in
environments with fluctuations. In particular, using novel arguments from the
theories of Hamilton-Jacobi equations with constraints and homogenization, we
obtain results about the evolution of populations in environments with time
oscillations, the development of concentrations in the form of Dirac masses,
the location of the dominant traits and their evolution in time. Such questions
have already been studied in time homogeneous environments. More precisely we
consider the dynamics of a phenotypically structured population in a changing
environment under mutations and competition for a single resource. The
mathematical model is a non-local parabolic equation with a periodic in time
reaction term. We study the asymptotic behavior of the solutions in the limit
of small diffusion and fast reaction. Under concavity assumptions on the
reaction term, we prove that the solution converges to a Dirac mass whose
evolution in time is driven by a Hamilton-Jacobi equation with constraint and
an effective growth/death rate which is derived as a homogenization limit. We
also prove that, after long-time, the population concentrates on a trait where
the maximum of an effective growth rate is attained. Finally we provide an
example showing that the time oscillations may lead to a strict increase of the
asymptotic population size.


title: Instance optimality of the adaptive maximum strategy

abstract:
  In this paper, we prove that the standard adaptive finite element method with
a (modified) `maximum marking strategy' is `instance optimal' for the `total
error', being the sum of the energy error and the oscillation. This result will
be derived in the model setting of Poisson's equation on a polygon, linear
finite elements, and conforming triangulations created by newest vertex
bisection.


title:
Double di ffential fragmentation cross sections measurements of 95 MeV/u
  12C on thin targets for hadrontherapy

abstract:
  During therapeutic treatment with heavy ions like carbon, the beam undergoes
nuclear fragmentation and secondary light charged particles, in particular
protons and alpha particles, are produced. To estimate the dose deposited into
the tumors and the surrounding healthy tissues, an accurate prediction on the
fluences of these secondary fragments is necessary. Nowadays, a very limited
set of double di ffential carbon fragmentation cross sections are being
measured in the energy range used in hadrontherapy (40 to 400 MeV/u).
Therefore, new measurements are performed to determine the double di ffential
cross section of carbon on di erent thin targets. This work describes the
experimental results of an experiment performed on May 2011 at GANIL. The
double di ffential cross sections and the angular distributions of secondary
fragments produced in the 12C fragmentation at 95 MeV/u on thin targets (C,
CH2, Al, Al2O3, Ti and PMMA) have been measured. The experimental setup will be
precisely described, the systematic error study will be explained and all the
experimental data will be presented.


title: Hysteretic phenomena in graphene's conductivity

abstract:
  A model for the rival mechanisms of hysteresis in graphene channel
resistivity on a substrate of different nature dependence on a gate voltage - a
direct one (caused by adsorbates with dipole moment on surface and interface)
and an inverse one (caused by capture of free carriers from graphene onto
localized states on graphene-substrate interface) is proposed. Possible
discrimination of these two channels by variation of the gate voltage sweep
rate is discussed. Our theory predictions are in good correlation with
experimental data, available in literature.


title:
Dirac fermions in graphene and analogues: magnetic field and topological
  properties

abstract:
  This is a short review of two-dimensional Dirac fermions in graphene and
similar systems such as boron nitride, quasi-2D organic salts
$\alpha$-(BEDT-TTF)$_2$I$_3$, artificial graphene with cold atoms in optical
lattices, etc. The emphasis is on magnetic field properties (semi-classical
quantization of cyclotron orbits, Landau levels, quantum Hall effect,
magneto-plasmons, magneto-phonon resonance, magneto-transport, etc.) and on
topological properties (Berry phase, winding number, inter-band effects,
merging transition of Dirac points, etc.).


title:
Monotonicity of solutions to quasilinear problems with a first-order
  term in half-spaces

abstract:
  We consider a quasilinear elliptic equation involving a first order term,
under zero Dirichlet boundary condition in half spaces. We prove that any
positive solution is monotone increasing w.r.t. the direction orthogonal to the
boundary. The main ingredient in the proof is a new comparison principle in
unbounded domains. As a consequence of our analysis, we also obtain some new
Liouville type theorems.


title: Weighted Multilinear Square Function Bounds

abstract:
  In this work we study boundedness of Littlewood-Paley-Stein square func-
tions associated to multilinear operators. We prove weighted Lebesgue space
bounds for square functions under relaxed regularity and cancellation
conditions that are independent of weights, which is a new result even in the
linear case. For a class of multilinear convolu- tion operators, we prove
necessary and sufficient conditions for weighted Lebesgue space bounds. Using
extrapolation theory, we extend weighted bounds in the multilinear setting for
Lebesgue spaces with index smaller than one.


title: Euler-Heisenberg lagrangian through Krein regularization

abstract:
  The Euler-Heisenberg effective action at the one-loop for a constant
electromagnetic field is derived in Krein space quantization with Ford's idea
of uctuated light-cone. In this work we present a perturbative, but convergent
solution of the effective action. Without using any renormalization procedure,
the result coincides with the famous renormalized Euler-Heisenberg action.


title: On the Growth of hyperbolic geodesics in rank 1 manifolds

abstract:
  We give a formula for the topological pressure of the geodesic flow of a
compact rank 1 manifold in terms of the growth of the number of closed
hyperbolic (rank 1) geodesics. We derive an equidistribution result for these
geodesics with respect to equilibrium states. This generalize partially a
result of G. Knieper \cite{kni} to non constant potentiels.


title: A Bilinear T(b) Theorem for Singular Integrals

abstract:
  In this work, we present a bilinear Tb theorem for singular integral
operators of Calder\'on-Zygmund type. We prove some new accretive type
Littlewood-Paley theory and bilinear paraproduct for a para-accretive function
setting. We also introduce a criterion for extending certain Lp Clader\'on
reproducing formulas to convergence in H1.


title:
Improved and Generalized Upper Bounds on the Complexity of Policy
  Iteration

abstract:
  Given a Markov Decision Process (MDP) with $n$ states and a totalnumber $m$
of actions, we study the number of iterations needed byPolicy Iteration (PI)
algorithms to converge to the optimal$\gamma$-discounted policy. We consider
two variations of PI: Howard'sPI that changes the actions in all states with a
positive advantage,and Simplex-PI that only changes the action in the state
with maximaladvantage. We show that Howard's PI terminates after at most
$O\left(\frac{m}{1-\gamma}\log\left(\frac{1}{1-\gamma}\right)\right)$iterations,
improving by a factor $O(\log n)$ a result by Hansen etal., while Simplex-PI
terminates after at most
$O\left(\frac{nm}{1-\gamma}\log\left(\frac{1}{1-\gamma}\right)\right)$iterations,
improving by a factor $O(\log n)$ a result by Ye. Undersome structural
properties of the MDP, we then consider bounds thatare independent of the
discount factor~$\gamma$: quantities ofinterest are bounds $\tau\_t$ and
$\tau\_r$---uniform on all states andpolicies---respectively on the
\emph{expected time spent in transientstates} and \emph{the inverse of the
frequency of visits in recurrentstates} given that the process starts from the
uniform distribution.Indeed, we show that Simplex-PI terminates after at most
$\tilde O\left(n^3 m^2 \tau\_t \tau\_r \right)$ iterations. This extends
arecent result for deterministic MDPs by Post & Ye, in which $\tau\_t\le 1$ and
$\tau\_r \le n$, in particular it shows that Simplex-PI isstrongly polynomial
for a much larger class of MDPs. We explain whysimilar results seem hard to
derive for Howard's PI. Finally, underthe additional (restrictive) assumption
that the state space ispartitioned in two sets, respectively states that are
transient andrecurrent for all policies, we show that both Howard's PI
andSimplex-PI terminate after at most $\tilde
O(m(n^2\tau\_t+n\tau\_r))$iterations.


title:
Spectral multiplier theorems of Euclidean type on new classes of 2-step
  stratified groups

abstract:
  From a theorem of Christ and Mauceri and Meda it follows that, for a
homogeneous sublaplacian $L$ on a $2$-step stratified group $G$ with Lie
algebra $\mathfrak{g}$, an operator of the form $F(L)$ is of weak type $(1,1)$
and bounded on $L^p(G)$ for $1 < p < \infty$ if the spectral multiplier $F$
satisfies a scale-invariant smoothness condition of order $s > Q/2$, where $Q =
\dim \mathfrak{g} + \dim[\mathfrak{g},\mathfrak{g}]$ is the homogeneous
dimension of $G$. Here we show that the condition can be pushed down to $s >
d/2$, where $d = \dim \mathfrak{g}$ is the topological dimension of $G$,
provided that $d \leq 7$ or $\dim [\mathfrak{g},\mathfrak{g}] \leq 2$.


title:
Analyzing Incentives for Protocol Compliance in Complex Domains: A Case
  Study of Introduction-Based Routing

abstract:
  Formal analyses of incentives for compliance with network protocols often
appeal to game-theoretic models and concepts. Applications of game-theoretic
analysis to network security have generally been limited to highly stylized
models, where simplified environments enable tractable study of key strategic
variables. We propose a simulation-based approach to game-theoretic analysis of
protocol compliance, for scenarios with large populations of agents and large
policy spaces. We define a general procedure for systematically exploring a
structured policy space, directed expressly to resolve the qualitative
classification of equilibrium behavior as compliant or non-compliant. The
techniques are illustrated and exercised through an extensive case study
analyzing compliance incentives for introduction-based routing. We find that
the benefits of complying with the protocol are particularly strong for nodes
subject to attack, and the overall compliance level achieved in equilibrium,
while not universal, is sufficient to support the desired security goals of the
protocol.


title:
Localization of Dirac Operators on 4n+2 Dimensional Open Spin^c
  Manifolds

abstract:
  An integer valued topological index of a Dirac operator is introduced for a
pair of a 4n+2 dimensional open Spin^c manifold and a section of the
determinant line bundle satisfying some property. We show a relation between
the index and an index of a Dirac operator of its characteristic submanifold,
by a localization of K-class.