title: On the $\mu$-parameters of the Petersen graph

abstract:
  For an undirected, simple, finite, connected graph $G$, we denote by $V(G)$
and $E(G)$ the sets of its vertices and edges, respectively. A function
$\varphi:E(G)\rightarrow \{1,...,t\}$ is called a proper edge $t$-coloring of a
graph $G$, if adjacent edges are colored differently and each of $t$ colors is
used. The least value of $t$ for which there exists a proper edge $t$-coloring
of a graph $G$ is denoted by $\chi'(G)$. For any graph $G$, and for any integer
$t$ satisfying the inequality $\chi'(G)\leq t\leq |E(G)|$, we denote by
$\alpha(G,t)$ the set of all proper edge $t$-colorings of $G$. Let us also
define a set $\alpha(G)$ of all proper edge colorings of a graph $G$: $$
\alpha(G)\equiv\bigcup_{t=\chi'(G)}^{|E(G)|}\alpha(G,t). $$
  An arbitrary nonempty finite subset of consecutive integers is called an
interval. If $\varphi\in\alpha(G)$ and $x\in V(G)$, then the set of colors of
edges of $G$ which are incident with $x$ is denoted by $S_G(x,\varphi)$ and is
called a spectrum of the vertex $x$ of the graph $G$ at the proper edge
coloring $\varphi$. If $G$ is a graph and $\varphi\in\alpha(G)$, then define
$f_G(\varphi)\equiv|\{x\in V(G)/S_G(x,\varphi) \textrm{is an interval}\}|$.
  For a graph $G$ and any integer $t$, satisfying the inequality $\chi'(G)\leq
t\leq |E(G)|$, we define: $$
\mu_1(G,t)\equiv\min_{\varphi\in\alpha(G,t)}f_G(\varphi),\qquad
\mu_2(G,t)\equiv\max_{\varphi\in\alpha(G,t)}f_G(\varphi). $$
  For any graph $G$, we set: $$ \mu_{11}(G)\equiv\min_{\chi'(G)\leq
t\leq|E(G)|}\mu_1(G,t),\qquad \mu_{12}(G)\equiv\max_{\chi'(G)\leq
t\leq|E(G)|}\mu_1(G,t), $$ $$ \mu_{21}(G)\equiv\min_{\chi'(G)\leq
t\leq|E(G)|}\mu_2(G,t),\qquad \mu_{22}(G)\equiv\max_{\chi'(G)\leq
t\leq|E(G)|}\mu_2(G,t). $$
  For the Petersen graph, the exact values of the parameters $\mu_{11}$,
$\mu_{12}$, $\mu_{21}$ and $\mu_{22}$ are found.


title: Skyrme effective pseudopotential up to next-to-next-to leading order

abstract:
  The explicit form of the next-to-next-to-leading order (N2LO) of the Skyrme
effective pseudopotential compatible with all required symmetries and
especially with gauge invariance is presented in Cartesian basis. It is shown
in particular that for such a particular pseudopotential there is no spin-orbit
contribution and that the D-wave term suggested in the original Skyrme's
formulation does not satisfy the invariance properties. The six new N2LO terms
contribute to both the equation of state and Landau parameters. These
contributions to symmetric nuclear matter are explicitly given and discussed.


title:
Stability Analysis of Continuous-Time Switched Systems with a Random
  Switching Signal

abstract:
  This paper is concerned with the stability analysis of continuous-time
switched systems with a random switching signal. The switching signal manifests
its characteristics with that the dwell time in each subsystem consists of a
fixed part and a random part. The stochastic stability of such switched systems
is studied using a Lyapunov approach. A necessary and sufficient condition is
established in terms of linear matrix inequalities. The effect of the random
switching signal on system stability is illustrated by a numerical example and
the results coincide with our intuition.


title: Small-angle scattering from multi-phase fractals

abstract:
  Small-angle scattering (SAS) intensities observed experimentally are often
characterized by the presence of successive power-law regimes with various
scattering exponents whose values vary from -4 to -1. This usually indicates
multiple fractal structures of the sample characterized by different size
scales. The existing models explaining the crossover positions (that is, the
points where the power-law scattering exponent changes) involve only one
contrast parameter, which depends solely on the ratio of the fractal sizes.
Here, a model that describes SAS from a multi-phase system with a few contrast
parameters is described, and it is shown that the crossover position depends on
the scattering length density of each phase. The Stuhrmann contrast variation
method is generalized and applied to experimental curves in the vicinity of the
crossover point beyond the Guinier region. The contrast variation is applied
not to the intensity itself but to the model parameters, which can be found by
fitting the experimental data with the suggested interpolation formula. The
model supplements the existing two-phase models and gives the simple condition
of their inapplicability: if the crossover point depends on the contrast then a
two-phase model is not relevant. The developed analysis allows one to answer
the qualitative question of whether one fractal `absorbs' another one or they
are both immersed in a surrounding homogeneous medium like a solvent or solid
matrix. The models can be applied to experimental SAS data where the absolute
value of the scattering exponent of the first power-law regime is higher than
that of the subsequent second power-law regime, that is, the scattering curve
is `convex' near the crossover point. As is shown, the crossover position can
be very sensitive to contrast variation, which influences significantly the
length of the fractal range.


title:
Polar Codes with Dynamic Frozen Symbols and Their Decoding by Directed
  Search

abstract:
  A novel construction of polar codes with dynamic frozen symbols is proposed.
The proposed codes are subcodes of extended BCH codes, which ensure
sufficiently high minimum distance. Furthermore, a decoding algorithm is
proposed, which employs estimates of the not-yet-processed bit channel error
probabilities to perform directed search in code tree, reducing thus the total
number of iterations.


title:
Study of the partial wave structure of $\pi^0\eta$ photoproduction on
  protons

abstract:
  Analysis of the partial wave structure of gamma p --> pi0 eta p reaction is
presented in the energy region from threshold up to the total center of mass
energy W = 1.9 GeV. Angular distributions measured with the Crystal Ball/TAPS
hermetic detector system at the Mainz Microtron MAMI are expanded in terms of
spherical harmonics. The relation of the extracted moments to the partial wave
structure of the reaction amplitude is discussed and compared with predictions
from model calculations.


title:
Effective System for Simulating Dust Continuum Observations on
  Distributed Computing Resources

abstract:
  We present an effective system for simulating dust continuum observations by
radiative transfer simulations. By using workflow management system RENKEI-WFT,
we utilized distributed computing resources and automated a sequence of
computational tasks required for radiative transfer modeling, namely, main
radiative transfer simulations, pre-/post-processes, and data transfer between
computing resources. Our system simultaneously executes a lot of radiative
transfer simulations with different input parameters on distributed computing
resources. This capability of our system enables us to conduct effective
research by radiative transfer simulation. As a demonstration of our system, we
simulated dust continuum observations of protoplanetary disk. We performed
hydrodynamic simulation modeling photoevaporating protoplanetary disk
irradiated by ultra violet radiation from nearby massive stars. Results of this
hydrodynamic simulation were used as input data for radiative transfer
simulations. Expected spectral energy distributions and intensity maps were
obtained by our system.


title:
A comparison of CMB lensing efficiency of gravitational waves and large
  scale structure

abstract:
  We provide a detailed treatment and comparison of the weak lensing effects
due to large-scale structure (LSS), or scalar density perturbations and those
due to gravitational waves(GW) or tensor perturbations, on the temperature and
polarization power spectra of the Cosmic Microwave Background (CMB). We carry
out the analysis both in real space by using the correlation function method,
as well as in the spherical harmonic space. We find an intriguing similarity
between the lensing kernels associated with LSS lensing and GW lensing. It is
found that the lensing kernels only differ in relative negative signs and their
form is very reminiscent of even and odd parity bipolar spherical harmonic
coefficients. Through a numerical study of these lensing kernels, we establish
that lensing due to GW is more efficient at distorting the CMB spectra as
compared to LSS lensing, particularly for the polarization power spectra.
Finally we argue that the CMB B-mode power spectra measurements can be used to
place interesting constraints on GW energy densities.


title:
Maxima of long memory stationary symmetric $\alpha$-stable processes,
  and self-similar processes with stationary max-increments

abstract:
  We derive a functional limit theorem for the partial maxima process based on
a long memory stationary $\alpha$-stable process. The length of memory in the
stable process is parameterized by a certain ergodic-theoretical parameter in
an integral representation of the process. The limiting process is no longer a
classical extremal Fr\'{e}chet process. It is a self-similar process with
$\alpha$-Fr\'{e}chet marginals, and it has stationary max-increments, a
property which we introduce in this paper. The functional limit theorem is
established in the space $D[0,\infty)$ equipped with the Skorohod
$M_1$-topology; in certain special cases the topology can be strengthened to
the Skorohod $J_1$-topology.


title:
A Compact, High Performance Atomic Magnetometer for Biomedical
  Applications

abstract:
  We present a highly sensitive room-temperature atomic magnetometer (AM),
designed for use in biomedical applications. The magnetometer sensor head is
only 2x2x5 cm^3 and it is constructed using readily available, low-cost optical
components. The magnetic field resolution of the AM is <10 fT/sqrt(Hz), which
is comparable to cryogenically cooled superconducting quantum interference
device (SQUID) magnetometers. We present side-by-side comparisons between our
AM and a SQUID magnetometer, and show that equally high quality
magnetoencephalography (MEG) and magnetocardiography (MCG) recordings can be
obtained using our AM.


title:
Numerical Computation of Weil-Peterson Geodesics in the Universal
  Teichm\"uller Space

abstract:
  We propose an optimization algorithm for computing geodesics on the universal
Teichm\"uller space T(1) in the Weil-Petersson ($W P$) metric. Another
realization for T(1) is the space of planar shapes, modulo translation and
scale, and thus our algorithm addresses a fundamental problem in computer
vision: compute the distance between two given shapes. The identification of
smooth shapes with elements on T(1) allows us to represent a shape as a
diffeomorphism on $S^1$. Then given two diffeomorphisms on $S^1$ (i.e., two
shapes we want connect with a flow), we formulate a discretized $W P$ energy
and the resulting problem is a boundary-value minimization problem. We
numerically solve this problem, providing several examples of geodesic flow on
the space of shapes, and verifying mathematical properties of T(1). Our
algorithm is more general than the application here in the sense that it can be
used to compute geodesics on any other Riemannian manifold.


title:
Effects of DC voltage on initiation of whirling motion of an
  electrostatically actuated nanowire oscillator

abstract:
  Planar driven nanowire oscillators are susceptible to undergo whirling motion
due to coupling between flexural planar and nonplanar modes of vibration. This
investigation is concerned with planar to whirling motion transition in the
oscillation of an electrostatically actuated nanowire, which is pre-deflected
due to applied DC voltage. We have derived dynamical equations of motion using
Euler-Bernoulli beam theory and Galerkin formulation as reduced order model of
the governing coupled partial differential equations. The dynamical equations
have been solved using second-order averaging method and the averaging solution
has been validated by comparing with the numerical solution of the reduced
order model. Further, planar to whirling motion transition has been
investigated by studying qualitative changes in resonance curves with variation
of electrostatic actuation. In this paper, we provide a simple analytical
condition which takes into account the effects of DC voltage for prediction of
initiation of whirling motion. Our main observation of the present
investigation is that DC voltage can tune the initiation pattern of the
whirling motion and change the qualitative nature of resonance curves.


title: The hybrid solution for the Fundamental Plane

abstract:
  By exploiting the database of early-type galaxies (ETGs) members of the WINGS
survey of nearby clusters, we address here the long debated question of the
origin and shape of the Fundamental Plane (FP). Our data suggest that different
physical mechanisms concur in shaping and tilting the FP with respect to the
virial plane (VP) expectation. In particular, an hybrid solution in which the
structure of galaxies and their stellar population are the main contributors to
the FP tilt seems to be favoured. We find that the bulk of the tilt should be
attributed to structural non-homology, while stellar population effects play an
important but less crucial role. Our data indicate that the differential FP
tilt between the V and K-band is due to a sort of entanglement between
structural and stellar population effects, for which the inward steepening of
color profiles (V-K) tends to increase at increasing the stellar mass of ETGs.
The same analysis applied to the ATLAS3D and SDSS data in common with WINGS
(WSDSS throughout the paper) confirms our results, the only remarkable
difference being the less important role of the stellar mass-to-light-ratio in
determining the FP tilt. The ATLAS3D data also suggest that the tilt depends as
well on the dark matter (DM) fraction and on the rotational contribution to the
kinetic energy (Vrot/sigma). We show that the global properties of the FP can
be understood in terms of the underlying correlation among mass, structure and
stellar population of ETGs, for which, at increasing the stellar mass, ETGs
become (on average) older and more centrally concentrated. Finally, we show
that a Malmquist-like selection effect may mimic a differential evolution of
the mass-to-light ratio for galaxies of different masses. This should be taken
into account in the studies investigating the amount of the so called
downsizing phenomenon.


title: Temperature chaos in 3D Ising Spin Glasses is driven by rare events

abstract:
  Temperature chaos has often been reported in literature as a rare-event
driven phenomenon. However, this fact has always been ignored in the data
analysis, thus erasing the signal of the chaotic behavior (still rare in the
sizes achieved) and leading to an overall picture of a weak and gradual
phenomenon. On the contrary, our analysis relies on a large-deviations
functional that allows to discuss the size dependencies. In addition, we had at
our disposal unprecedentedly large configurations equilibrated at low
temperatures, thanks to the Janus computer. According to our results, when
temperature chaos occurs its effects are strong and can be felt even at short
distances.


title:
Integral Quantum Fluctuation Theorems under Measurement and Feedback
  control

abstract:
  We derive integral quantum fluctuation theorems and quantum Jarzynski
equalities for a feedback-controlled system and a memory which registers
outcomes of the measurement. The obtained equalities involve the information
content, which reflects the information exchange between the system and the
memory, and take into account the back action of a general measurement contrary
to the classical case. The generalized second law of thermodynamics under
measurement and feedback control are reproduced from these equalities.


title:
Multi-Orbital Superconductivity in SrTiO3 /LaAlO3 Interface and SrTiO3
  Surface

abstract:
  We investigate the superconductivity in two-dimensional electron systems
formed in SrTiO3 nanostructures. Our the- oretical analysis is based on the
three-orbital model, which takes into account t2g orbitals of Ti ions. Because
of the interfacial breaking of mirror symmetry, a Rashba-type antisymmetric
spin-orbit coupling arises from the cooperation of intersite and interorbital
hybridyzation and atomic LS coupling. This model shows a characteristic spin
texture and carrier density dependence of Rashba spin-orbit coupling through
the orbital degree of freedom. Superconductivity is mainly caused by heavy
quasiparticles consisting of dyz and dzx orbitals at high carrier densities. We
find that the Rashba spin-orbit coupling stabilizes a quasi-one-dimensional
superconducting phase caused by one of the dyz or dzx orbitals at high magnetic
fields along interfaces. This quasi-one-dimensional superconducting phase is
protected against para- magnetic depairing effects by the Rashba spin-orbit
coupling and realizes a large upper critical field Hc2 beyond the
Pauli-Clogston-Chandrasekhar limit. This finding is consistent with an
extraordinarily large upper critical field observed in SrTiO3 /LaAlO3
interfaces and its carrier density dependence. The possible coexistence of
superconductivity and fer- romagnetism in SrTiO3 /LaAlO3 interfaces may also be
attributed to this quasi-one-dimensional superconducting phase.


title: Higgs boson production in the SM and MSSM to NNLO and beyond

abstract:
  In this contribution a brief review about the status of higher order
corrections to Higgs boson production within the Minimal Supersymmetric
Standard Model (MSSM) is given. Furthermore the first activities towards
third-order corrections in the Standard Model (SM) are discussed.


title:
Properties of twice four families of quarks and leptons, of scalars and
  gauge fields as predicted by the spin-charge-family theory

abstract:
  The spin-charge-family theory, proposed by the author as a possible new way
to explain the assumptions of the standard model, predicts at the low energy
regime two decoupled groups of four families of quarks and leptons. In two
successive breaks the massless families, first the group of four and at the
second break the rest four families, gain nonzero mass matrices. The families
are identical with respect to the charges and spin. There are two kinds of
fields in this theory, which manifest at low energies as the gauge vector and
scalar fields: the fields which couple to the charges and spin, and the fields
which couple to the family quantum numbers. In loop corrections to the tree
level mass matrices both kinds start to contribute coherently. The fourth
family of the lower group of four families is predicted to be possibly observed
at the LHC and the stable of the higher four families -- the fifth family -- is
the candidate to constitute the dark matter. Properties of the families of
quarks and leptons and of the scalar and gauge fields, before and after each of
the two successive breaks, bringing masses to fermions and to boson fields are
analysed and relations among coherent contributions of the loop corrections to
fermion properties discussed, including the one which enables the existence of
the Majorana neutrinos. The relation of the scalar fields and mass matrices
following from the {\em spin-charge-family} theory to the {\it standard model}
Yukawa couplings and Higgs is discussed. Although effectively the scalar fields
manifest as Higgs and Yukawas, measurements of the scalar fields do not
coincide with the measurement of the Higgs.


title:
A multi-wavelength investigation of the radio-loud supernova PTF11qcj
  and its circumstellar environment

abstract:
  We present the discovery, classification, and extensive panchromatic (from
radio to X-ray) follow-up observations of PTF11qcj, a supernova discovered by
the Palomar Transient Factory. PTF11qcj is located at a distance of dL ~ 124
Mpc. Our observations with the Karl G. Jansky Very Large Array show that this
event is radio-loud: PTF11qcj reached a radio peak luminosity comparable to
that of the famous gamma-ray-burst-associated supernova 1998bw (L_{5GHz} ~
10^{29} erg/s/Hz). PTF11qcj is also detected in X-rays with the Chandra
observatory, and in the infrared band with Spitzer. Our multi-wavelength
analysis probes the supernova interaction with circumstellar material. The
radio observations suggest a progenitor mass-loss rate of ~10^{-4} Msun/yr x
(v_w/1000 km/s), and a velocity of ~(0.3-0.5)c for the fastest moving ejecta
(at ~10d after explosion). However, these estimates are derived assuming the
simplest model of supernova ejecta interacting with a smooth circumstellar
material characterized by radial power-law density profile, and do not account
for possible inhomogeneities in the medium and asphericity of the explosion.
The radio light curve shows deviations from such a simple model, as well as a
re-brightening at late times. The X-ray flux from PTF11qcj is compatible with
the high-frequency extrapolation of the radio synchrotron emission (within the
large uncertainties). An IR light echo from pre-existing dust is in agreement
with our infrared data. Our analysis of pre-explosion data from the Palomar
Transient Factory suggests that a precursor eruption of absolute magnitude M_r
~ -13 mag may have occurred ~ 2.5 yr prior to the supernova explosion. Based on
our panchromatic follow-up campaign, we conclude that PTF11qcj fits the
expectations from the explosion of a Wolf-Rayet star. Precursor eruptions may
be a feature characterizing the final pre-explosion evolution of such stars.


title:
FAMA: An automatic code for stellar parameter and abundance
  determination

abstract:
  The large amount of spectra obtained during the epoch of extensive
spectroscopic surveys of Galactic stars needs the development of automatic
procedures to derive their atmospheric parameters and individual element
abundances. Starting from the widely-used code MOOG by C. Sneden, we have
developed a new procedure to determine atmospheric parameters and abundances in
a fully automatic way. The code FAMA (Fast Automatic MOOG Analysis) is
presented describing its approach to derive atmospheric stellar parameters and
element abundances. The code, freely distributed, is written in Perl and can be
used on different platforms. The aim of FAMA is to render the computation of
the atmospheric parameters and abundances of a large number of stars using
measurements of equivalent widths as automatic and as independent of any
subjective approach as possible. It is based on the simultaneous search for
three equilibria: excitation equilibrium, ionization balance, and the
relationship between \fei\ and the reduced equivalent widths. FAMA also
evaluates the statistical errors on individual element abundances and errors
due to the uncertainties in the stellar parameters. The convergence criteria
are not fixed 'a priori' but are based on the quality of the spectra. In this
paper we present tests performed on the Solar spectrum EWs which tests the
dependency on the initial parameters, and the analysis of a sample of stars
observed in Galactic open and globular clusters.


title: Electrical anisotropy of heteroepitaxial InSb/GaAs layers

abstract:
  We report on study of electrical and structural properties of InSb/GaAs(001)
heteroepitaxial layers in [110] and [1-10] crystallographic directions. Strong
anisotropy of electron transport parameters measured at a low magnetic field
has been found, whereas the electrical transport through the InSb bulk layer
studied by Shubnikov-de Haas oscillations is shown to be independent of the
crystallographic directions. The low-field electrical anisotropy of the InSb
films appears to be governed by two competitive anisotropic effects: influence
of spontaneously formed In nanoclusters inhomogeneously distributed within the
InSb layers and conductivity through the near-interface layer with high
anisotropic density of extended defects.


title: Towards a Polya-Carlson dichotomy for algebraic dynamics

abstract:
  We present results and background rationale in support of a Polya--Carlson
dichotomy between rationality and a natural boundary for the analytic behaviour
of dynamical zeta functions of compact group automorphisms.


title:
How can the Standard model Higgs and also the extensions of the Higgs to
  Yukawa's scalars be interpreted in the spin-charge-family theory and to what
  predictions about the Higgs does this theory lead?

abstract:
  This contribution is to show how does the spin-charge-family theory interpret
the assumptions of the standard model, and those extensions of this model,
which are trying to see the Yukawa couplings as scalar fields with the family
(flavour) charges in the fundamental representations of the group. The purpose
of these contribution is i.) to try to understand why the standard model works
so well, although its assumptions look quite artificial, and ii.) how do
predictions of the spin-charge-family theory about the measurements of the
scalar fields differ from predictions of the {\em standard model}, which has
only one scalar field - the Higgs - and also from its more or less direct
extensions with Yukawas as the scalar dynamical fields with the family charge
in the fundamental or anti-fundamental representation of group.


title: Employing Circuit QED to Measure Nonequilibrium Work Fluctuations

abstract:
  We study an interferometric method for the measurement of the statistics of
work performed on a driven quantum system, which has been put forward recently
[Dorner et al., Phys. Rev. Lett. 110 230601 (2013), Mazzola et al., Phys. Rev.
Lett. 110 230602 (2013)]. The method allows replacing two projective
measurements of the energy of the driven system with qubit tomography of an
ancilla that is appropriately coupled to it. We highlight that this method
could be employed to obtain the work statistics of closed as well as open
driven system, even in the strongly dissipative regime. We then illustrate an
implementation of the method in a circuit QED set-up, which allows one to
experimentally obtain the work statistics of a parametrically driven harmonic
oscillator. Our implementation is an extension of the original method, in which
two ancilla-qubits are employed and the work statistics is retrieved through
two-qubit state tomography. Our simulations demonstrate the experimental
feasibility.


title:
Pedestrians moving in dark: Balancing measures and playing games on
  lattices

abstract:
  We present two conceptually new modeling approaches aimed at describing the
motion of pedestrians in obscured corridors:
  * a Becker-D\"{o}ring-type dynamics
  * a probabilistic cellular automaton model.
  In both models the group formation is affected by a threshold. The
pedestrians are supposed to have very limited knowledge about their current
position and their neighborhood; they can form groups up to a certain size and
they can leave them. Their main goal is to find the exit of the corridor.
Although being of mathematically different character, the discussion of both
models shows that it seems to be a disadvantage for the individual to adhere to
larger groups. We illustrate this effect numerically by solving both model
systems. Finally we list some of our main open questions and conjectures.


title:
Electronic states of disordered grain boundaries in graphene prepared by
  chemical vapor deposition

abstract:
  Perturbations of the two dimensional carbon lattice of graphene, such as
grain boundaries, have significant influence on the charge transport and
mechanical properties of this material. Scanning tunneling microscopy
measurements presented here show that localized states near the Dirac point
dominate the local density of states of grain boundaries in graphene grown by
chemical vapor deposition. Such low energy states are not reproduced by
theoretical models which treat the grain boundaries as periodic
dislocation-cores composed of pentagonal-heptagonal carbon rings. Using ab
initio calculations, we have extended this model to include disorder, by
introducing vacancies into a grain boundary consisting of periodic
dislocation-cores. Within the framework of this model we were able to reproduce
the measured density of states features. We present evidence that grain
boundaries in graphene grown on copper incorporate a significant amount of
disorder in the form of two-coordinated carbon atoms.


title:
Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices
  with Decaying Interaction

abstract:
  In this paper we consider lattice systems coupled by local interactions. We
prove invariant manifold theorems for whiskered tori (we recall that whiskered
tori are quasi-periodic solutions with exponentially contracting and expanding
directions in the linearized system). The invariant manifolds we construct
generalize the usual (strong) (un) stable manifolds and allow us to consider
also non-resonant manifolds. We show that if the whiskered tori are localized
near a collection of specific sites, then so are the invariant manifolds.
  We recall that the existence of localized whiskered tori has recently been
proven for symplectic maps and flows in Fontich et. al. (submitted), but our
results do not need that the systems are symplectic. For simplicity we will
present first the main results for maps, but we will show tha the result for
maps imply the results for flows. It is also true that the results for flows
can be proved directly following the same ideas.


title: Finite orbit decomposition of real flag manifolds

abstract:
  Let G be a connected real semi-simple Lie group and H a closed connected
subgroup. Let P be a minimal parabolic subgroup of G. It is shown that H has an
open orbit on the flag manifold G/P if and only if it has finitely many orbits
on G/P. This confirms a conjecture by T. Matsuki.


title: Lower bounds for the spanning tree numbers of two graph products

abstract:
  For any graph $G$ of order $n$, the spanning tree packing number
\emph{$STP(G)$}, is the maximum number of edge-disjoint spanning trees
contained in $G$. In this paper, we obtain some sharp lower bounds for the
spanning tree numbers of Cartesian product graphs and Lexicographic product
graphs.


title:
How real-time cosmology can distinguish between different anisotropic
  models

abstract:
  We present a new analysis on how to distinguish between isotropic and
anisotropic cosmological models based on tracking the angular displacements of
a large number of distant quasars over an extended period of time, and then
performing a multipole-vector decomposition of the resulting displacement maps.
We find that while the GAIA mission operating at its nominal specifications
does not have sufficient angular resolution to resolve anisotropic universes
from isotropic ones using this method within a reasonable timespan of ten
years, a next-generation GAIA-like survey with a resolution ten times better
should be equal to the task. Distinguishing between different anisotropic
models is however more demanding. Keeping the observational timespan to ten
years, we find that the angular resolution of the survey will need to be of
order 0.1 micro-arcsecond in order for certain rotating anisotropic models to
produce a detectable signature that is also unique to models of this class.
However, should such a detection become possible, it would immediately allow us
to rule out large local void models.


title:
Growing discharge trees with self-consistent charge transport: the
  collective dynamics of streamers

abstract:
  We introduce the generic structure of a growth model for branched discharge
trees that consistently combines a finite channel conductivity with the
physical law of charge conservation. It is applicable, e.g., to streamer
coronas near tip or wire electrodes and ahead of lightning leaders, to leaders
themselves and to the complex breakdown structures of sprite discharges high
above thunderclouds. Then we implement and solve the simplest model for
positive streamers in ambient air with self-consistent charge transport. We
demonstrate that charge conservation contradicts the common assumption of
dielectric breakdown models that the electric fields inside all streamers are
equal to the so-called stability field and we even find cases of local field
inversion. We also discuss the charge distribution inside discharge trees,
which provides a natural explanation for the observed reconnections of
streamers in laboratory experiments and in sprites. Our simulations show the
structure of an overall "streamer of streamers" that we name collective
streamer front, and predict effective streamer branching angles, the charge
structure within streamer trees, and streamer reconnection.


title: High-Dimensional Random Fields and Random Matrix Theory

abstract:
  Our goal is to discuss in detail the calculation of the mean number of
stationary points and minima for random isotropic Gaussian fields on a sphere
as well as for stationary Gaussian random fields in a background parabolic
confinement. After developing the general formalism based on the
high-dimensional Kac-Rice formulae we combine it with the Random Matrix Theory
(RMT) techniques to perform analysis of the random energy landscape of $p-$spin
spherical spinglasses and a related glass model, both displaying a
zero-temperature one-step replica symmetry breaking glass transition as a
function of control parameters (e.g. a magnetic field or curvature of the
confining potential). A particular emphasis of the presented analysis is on
understanding in detail the picture of "topology trivialization" (in the sense
of drastic reduction of the number of stationary points) of the landscape which
takes place in the vicinity of the zero-temperature glass transition in both
models. We will reveal the important role of the GOE "edge scaling" spectral
region and the Tracy-Widom distribution of the maximal eigenvalue of GOE
matrices for providing an accurate quantitative description of the universal
features of the topology trivialization scenario.

categories: math-ph cond-mat.dis-nn cond-mat.stat-mech math.MP math.PR


title:
A Taxonomy of Performance Prediction Systems in the Parallel and
  Distributed Computing Grids

abstract:
  As Grids are loosely-coupled congregations of geographically distributed
heterogeneous resources, the efficient utilization of the resources requires
the support of a sound Performance Prediction System (PPS). The performance
prediction of grid resources is helpful for both Resource Management Systems
and grid users to make optimized resource usage decisions. There have been many
PPS projects that span over several grid resources in several dimensions. In
this paper the taxonomy for describing the PPS architecture is discussed. The
taxonomy is used to categorize and identify approaches which are followed in
the implementation of the existing PPSs for Grids. The taxonomy and the survey
results are used to identify approaches and issues that have not been fully
explored in research.


title:
Local Mode Dependent Decentralized $H_{\infty}$ Control of Uncertain
  Markovian Jump Large-scale Systems

abstract:
  This paper considers the problem of robust $H_{\infty}$ control using
decentralized state feedback controllers for a class of large-scale systems
with Markov jump parameters. A sufficient condition is developed to design
controllers using local system states and local system operation modes. The
sufficient condition is given in terms of rank constrained linear matrix
inequalities. An illustrative numerical example is given to demonstrate the
developed theory.


title: Topological and edge state properties of a three-band model for Sr2RuO4

abstract:
  Modeling the spin-triplet superconductor Sr2RuO4 through a three-orbital
tight-binding model we investigate topological properties and edge states
assuming chiral p-wave pairing. In concordance with experiments the three Fermi
surfaces consist of two electron-like and one hole-like one corresponding to
the alpha-, beta- and gamma-band on the level of a two-dimensional system. The
quasi-particle spectra and other physical quantities of the superconducting
phase are calculated by means of a self-consistent Bogoliubov-de Gennes
approach for a ribbon shaped system. While a full quasiparticle excitation gap
is realized in the bulk system, at the edges gapless states appear some of
which have linear and others nearly flat dispersion around zero energy. This
study shows the interplay between spin-orbit coupling induced spin currents,
chiral edge currents and correlation driven surface magnetism. The topological
nature of the chiral p-wave state manifests itself in the gamma-band
characterized by an integer Chern number. As the gamma-band is close to a
Lifshitz transition in Sr2RuO4, changing the sign of the Chern number, the
topological nature may be rather fragile.


title: Quantum corrections to the dynamics of the expanding universe

abstract:
  The dynamics of the expanding universe is analyzed in terms of the quantum
geometrodynamical model. It is shown that the equations of quantum theory in
the form of the eigenvalues equation similar to the stationary Schr\"{o}dinger
equation complemented by the equations of motion for the momentum operator and
its time derivative in Heisenberg's form reduce to the Einstein equations with
an additional source of the gravitational field of quantum nature. The
spatially closed universe with cosmological constant, originally filled with a
uniform scalar field and radiation, is considered as quantum cosmological
system. The perfect fluid in the form of radiation defines the material
reference frame. The properties of the averaged scalar field which acts like
ordinary matter are investigated. After averaging over its quantum states, the
free scalar field turns into the Weyssenhoff fluid characterized by the energy
density, pressure, and spin of constituent particles. The cases when the
contribution of the quantum effects into the gravitational interaction becomes
significant on macroscopic scale are analyzed. It is demonstrated that, unless
the whole, at least a part of such matter-energy constituents as dark matter
and dark energy may have a quantum origin.


title: Betti numbers of Gaussian fields

abstract:
  We present the relation between the genus in cosmology and the Betti numbers
for excursion sets of three- and two-dimensional smooth Gaussian random fields,
and numerically investigate the Betti numbers as a function of threshold level.
Betti numbers are topological invariants of figures that can be used to
distinguish topological spaces. In the case of the excursion sets of a
three-dimensional field there are three possibly non-zero Betti numbers;
$\beta_0$ is the number of connected regions, $\beta_1$ is the number of
circular holes, and $\beta_2$ is the number of three-dimensional voids. Their
sum with alternating signs is the genus of the surface of excursion regions. It
is found that each Betti number has a dominant contribution to the genus in a
specific threshold range. $\beta_0$ dominates the high-threshold part of the
genus curve measuring the abundance of high density regions (clusters).
$\beta_1$ dominates the genus near the median thresholds which measures the
topology of negatively curved iso-density surfaces, and $\beta_2$ corresponds
to the low-threshold part measuring the void abundance. We average the Betti
number curves (the Betti numbers as a function of the threshold level) over
many realizations of Gaussian fields and find that both the amplitude and shape
of the Betti number curves depend on the slope of the power spectrum $n$ in
such a way that their shape becomes broader and their amplitude drops less
steeply than the genus as $n$ decreases. This behaviour contrasts with the fact
that the shape of the genus curve is fixed for all Gaussian fields regardless
of the power spectrum. Even though the Gaussian Betti number curves should be
calculated for each given power spectrum, we propose to use the Betti numbers
for better specification of the topology of large scale structures in the
universe.


title: Giant magnetostriction in Tb-doped Fe83Ga17 melt-spun ribbons

abstract:
  Giant magnetostriction is achieved in the slightly Tb-doped Fe83Ga17
melt-spun ribbons. The tested average perpendicular magnetostriction is -886
ppm along the melt-spun ribbon direction in the Fe82.89Ga16.88Tb0.23 alloy. The
calculated parallel magnetostriction is 1772 ppm, more than 4 times as large as
that of binary Fe83Ga17 alloy. The enhanced magnetostriction should be
attributed to a small amount of Tb solution into the A2 matrix phase during
rapid solidification. The localized strong magnetocrystalline anisotropy of Tb
element is suggested to cause the giant magnetostriction.


title: Square wells, quantum wells and ultra-thin metallic films

abstract:
  The eigenvalue equations for the energy of bound states of a particle in a
square well are solved, and the exact solutions are obtained, as power series.
Accurate analytical approximate solutions are also given. The application of
these results in the physics of quantum wells are discussed,especially for
ultra-thin metallic films, but also in the case of resonant cavities,
heterojunction lasers, revivals and super-revivals.


title: Collective Lie-Poisson integrators on $\mathbf{R}^{3}$

abstract:
  We develop Lie-Poisson integrators for general Hamiltonian systems on
$\mathbf{R}^{3}$ equipped with the rigid body bracket. The method uses
symplectic realisation of $\mathbf{R}^{3}$ on $T^{*}\mathbf{R}^{2}$ and
application of symplectic Runge-Kutta schemes. As a side product, we obtain
simple symplectic integrators for general Hamiltonian systems on the sphere
$S^{2}$.


title: Real and p-adic Picard-Vessiot fields

abstract:
  We consider differential modules over real and p-adic differential fields
such that their field of constants is real closed (respectively p-adically
closed). Using Deligne's work on Tannakian categories and a result of Serre on
Galois cohomology, a purely algebraic proof of the existence and unicity of
real (respectively p-adic) Picard-Vessiot fields is obtained.


title: From the Jaynes-Cummings-Hubbard to the Dicke model

abstract:
  We discuss the Jaynes-Cummings-Hubbard model (JCHM) describing the
superfluid-Mott insulator transition of polaritons (i.e., dressed photon-qubit
states) in coupled qubit-cavity arrays in the crossover from strong to weak
correlations. In the strongly correlated regime the phase diagram and the
elementary excitations of lattice polaritons near the Mott lobes are calculated
analytically using a slave boson theory (SBT). The opposite regime of weakly
interacting polariton superfluids is described by a weak-coupling mean-field
theory (MFT) for a generalised multi-mode Dicke model. We show that a
remarkable relation between the two theories exists in the limit of large
photon bandwidth and large negative detuning, i.e., when the nature of
polariton quasiparticles becomes qubit-like. In this regime, the weak coupling
theory predicts the existence of a single Mott lobe with a change of the
universality class of the phase transition at the tip of the lobe, in perfect
agreement with the slave-boson theory. Moreover, the spectra of low energy
excitations, i.e., the sound velocity of the Goldstone mode and the gap of the
amplitude mode match exactly as calculated from both theories.


title: New near-infrared observations and lens-model constraints for UM673

abstract:
  Aims: We performed a detailed photometric analysis of the lensed system UM673
(Q0142-100) and an analysis of the tentative lens models. Methods:
High-resolution adaptive optics images of UM673 taken with the Subaru telescope
in the H band were examined. We also analysed the J, H and K-band observational
data of UM673 obtained with the 1.3m telescope at the CTIO observatory.
Results: We present photometry of quasar components A and B of UM673, the lens,
and the nearby bright galaxy using H-band observational data obtained with the
Subaru telescope. Based on the CTIO observations of UM673, we also present J-
and H-band photometry and estimates of the J, H and K-band flux ratios between
the two UM673 components in recent epochs. The near-infrared fluxes of the A
and B components of UM673 and their published optical fluxes are analysed to
measure extinction properties of the lensing galaxy. We estimate the
extinction-corrected flux ratio between components A and B to be about 2.14
mag. We discuss lens models for the UM673 system constrained with the positions
of the UM673 components, their flux ratio, and the previously measured time
delay


title:
Numerical investigation of Scrape Off Layer anomalous particle transport
  for MAST parameters

abstract:
  Numerical simulations of L-mode plasma turbulence in the Scrape Off Layer of
MAST are presented. Relevant features of the boundary plasma, such as the
thickness of the density layer or the statistics of the fluctuations are
related to the edge density and temperature, plasma current and parallel
connection length. It is found that the density profile is weakly affected by
the edge density, it broadens when the current or the temperature are decreased
while the connection length has the opposite effect. The statistics of the
turbulence is relatively insensitive to variations of all the edge parameters
and show a certain degree of universality. Effective transport coefficients are
calculated for several plasma conditions and display a strong nonlinear
dependence on the parameters and on the radial variable. Finally, it is shown
how the perpendicular particle fluxes in the Scrape Off Layer are related to
the edge parameters.


title:
A vector field method on the distorted Fourier side and decay for wave
  equations with potentials

abstract:
  We study the Cauchy problem for the one-dimensional wave equation with an
inverse square potential. We derive dispersive estimates, energy estimates, and
estimates involving the scaling vector field, where the latter are obtained by
employing a vector field method on the "distorted" Fourier side. In addition,
we prove local energy decay estimates. Our results have immediate applications
in the context of geometric evolution problems. The theory developed in this
paper is fundamental for the proof of the co-dimension 1 stability of the
catenoid under the vanishing mean curvature flow in Minkowski space.


title: Estimates for the Abelian $Z'$ Couplings from the LHC Data

abstract:
  In this paper, we investigate the Drell-Yan process with the intermediate
heavy $Z'$ boson. We use a general approach to the Abelian $Z'$ that utilizes
the renormalization-group relations between the $Z'$ couplings and allows to
reduce the number of unknown $Z'$ parameters significantly. In a newly proposed
strategy, we estimate the LHC-driven constraints for the $Z'$ couplings to
lepton and quark vector currents. To do this, we calculate the $Z'$-related
contribution in the narrow-width approximation and compare the obtained values
to the experimental data presented by the ATLAS and CMS collaborations. Our
method allows to estimate the values of $Z'$ couplings to the $u$ and $d$
quarks and to final-state leptons.


title:
Pairing with dominant triplet component and possible weak topological
  superconductivity in BiS$_2$-based superconductors

abstract:
  We show that the newly discovered BiS$_2$-based superconductors may have a
dominant triplet pairing component, in addition to a subdominant singlet
component arising from the spin-orbital coupling. The pairing respects
time-reversal symmetry. The dominant triplet gap causes gap sign changes
between the spin-split Fermi pockets. Within a pocket, the gap function
respects $d^*_{x^2-y^2}$-wave symmetry, where the star indicates joint
spin-lattice rotations. Below the Lifshitz filling level the gap is nodelss and
the superconducting state is weak topological. Above the Lifshitz points the
gap becomes nodal. The dominant triplet pairing is consistent with the
experimental upper critical field exceeding the Pauli limit.


title:
Investigation of the $D^{\ast}_{s}D_{s} \eta^{(\prime)}$ and
  $B^{\ast}_{s}B_{s} \eta^{(\prime)}$ vertices via QCD sum rules

abstract:
  The strong coupling constants among mesons are very important quantities as
they can provide useful information on the nature of strong interaction among
hadrons as well as the QCD vacuum. In this article, we investigate the strong
vertices of the $D^{\ast}_{s}D_{s} \eta^{(\prime)}$ and $B^{\ast}_{s}B_{s}
\eta^{(\prime)}$ in the framework of the QCD sum rule approach choosing the
$\eta$ or $D_{s} (B_{s})$ meson as an off-shell state. We obtain the results
$g_{D_s^*D_s\eta}=(1.46\pm 0.30)GeV^{-1}$, $g_{D_s^*D_s\eta^{\prime}}=(0.74\pm
0.16)GeV^{-1}$, $g_{B_s^*B_s\eta}=(5.29\pm 1.06)GeV^{-1}$ and
$g_{B_s^*B_s\eta^{\prime}}=(2.29\pm 0.48)GeV^{-1}$ for the strong coupling
constants under consideration, which can be checked in future experiments.


title: De Rahm cohomology of local cohomology modules-The graded case

abstract:
  Let $K$ be a field of characteristic zero, $R = K[X_1,...,X_n]$. Let $A_n(K)
= K<X_1,...,X_n, \partial_1, ..., \partial_n>$ be the $n^{th}$ Weyl algebra
over $K$. We consider the case when $R$ and $A_n(K)$ is graded by giving $\deg
X_i = \omega_i $ and $\deg \partial_i = -\omega_i$ for $i =1,...,n$ (here
$\omega_i$ are positive integers). Set $\omega = \sum_{k=1}^{n}\omega_k$. Let
$I$ be a graded ideal in $R$. By a result due to Lyubeznik the local cohomology
modules $H^i_I(R)$ are holonomic $A_n(K)$-modules for each $i \geq 0$. In this
article we prove that the De Rahm cohomology modules $H^*(\bP ; H^*_I(R))$ is
concentrated in degree $- \omega$, i.e., $H^*(\bP ; H^*_I(R))_j = 0$ for $j
\neq - \omega$. As an application when $A = R/(f)$ is an isolated singularity
we relate $H^{n-1}(\bP ; H^1_{(f)}(R)$ to $H^{n-1}(\partial(f); A)$, the
$(n-1)^{th}$ Koszul cohomology of $A$ \wrt \ $
\partial_1(f),...,\partial_n(f)$.


title:
From Technology-Driven Society to Socially Oriented Technology. The
  Future of Information Society -- Alternatives to Surveillance

abstract:
  Our society is changing. Almost nothing these days works without a computer
chip. Computing power doubles every 18 months, and in ten years it will
probably exceed the capabilities of a human brain. Computers perform
approximately 70 percent of all financial transactions today and IBM's Watson
now seems to give better customer advise than some human telephone hotlines.
What does this imply for our future society?


title: Boundary value problems for first order elliptic wedge operators

abstract:
  We develop an elliptic theory based in $L^2$ of boundary value problems for
general wedge differential operators of first order under only mild assumptions
on the boundary spectrum. In particular, we do not require the indicial roots
to be constant along the base of the boundary fibration.
  Our theory includes as a special case the classical theory of elliptic
boundary value problems for first order operators with and without the
Shapiro-Lopatinskii condition, and can be thought of as a natural extension of
that theory to the geometrically and analytically relevant class of wedge
operators. Wedge operators arise in the global analysis on manifolds with
incomplete edge singularities. Our theory settles, in the first order case, the
long-standing open problem to develop a robust elliptic theory of boundary
value problems for such operators.


title:
Approximation theory for non-orientable minimal surfaces and
  applications

abstract:
  We prove a version of the classical Runge and Mergelyan uniform approximation
theorems for non-orientable minimal surfaces in Euclidean 3-space R3. Then, we
obtain some geometric applications. Among them, we emphasize the following
ones:
  1. A Gunning-Narasimhan type theorem for non-orientable conformal surfaces.
  2. An existence theorem for non-orientable minimal surfaces in R3, with
arbitrary conformal structure, properly projecting into a plane.
  3. An existence result for non-orientable minimal surfaces in R3 with
arbitrary conformal structure and Gauss map omitting one projective direction.


title: Radiative corrections to WL WL scattering in composite Higgs models

abstract:
  The scattering of longitudinally polarized electroweak bosons is likely to
play an important role in the elucidation of the fundamental nature of the
Electroweak Symmetry Breaking sector and in determining the Higgs interactions
with this sector. In this paper, by making use of the Equivalence Theorem, we
determine the renormalization properties of the electroweak effective theory
parameters in a model with generic Higgs couplings to the W and Z bosons. When
the couplings between the Higgs and the electroweak gauge bosons deviate from
their Standard Model values, additional counterterms of O(p^4) in the usual
chiral counting are required. We also determine in the same approximation the
full radiative corrections to the WL WL->ZL ZL process in this type of models.
Assuming custodial invariance, all the related processes can be easily derived
from this amplitude.


title:
On the Equivariant Lazard Ring and Tom Dieck's Equivariant Cobordism
  Ring

abstract:
  For a torus G of rank r = 1, we showed that the canonical ring homomorphism
L_G \to MU_G, where L_G is the equivariant Lazard ring and MU_G is the
equivariant cobordism ring introduced by Tom Dieck, is surjective. We also
showed that the completion map MU_G \to \hat{MU}_G = MU(BG) is injective.
Moreover, we showed that the same results hold if we assume a certain algebraic
property holds in L_G when r \geq 2.


title: Indirect Dark Matter search with large neutrino telescopes

abstract:
  Dark matter is one of the main goals of neutrino astronomy. At present, there
are two big neutrino telescopes based on the Cherenkov technique in ice and
water: IceCube at the South Pole and ANTARES in the northern hemisphere. Both
telescopes are performing an indirect search for Dark Matter by looking for a
statistical excess of neutrinos coming from astrophysical massive objects. This
excess could be an evidence of the possible annihilation of dark matter
particles in the centre of these objects. In one of the most popular scenarios
the Dark Matter is composed of WIMP particles. The analysis and results of the
ANTARES neutrino telescope for the indirect detection of Dark Matter fluxes
from the Sun are here presented, as well as the latest IceCube published
sensitivity results, for different Dark Matter models.


title: Normal Forms for Symplectic Matrices

abstract:
  We give a self contained and elementary description of normal forms for
symplectic matrices, based on geometrical considerations. The normal forms in
question are expressed in terms of elementary Jordan matrices and integers with
values in $\{-1,0,1\}$ related to signatures of quadratic forms naturally
associated to the symplectic matrix.


title: Outbreaks of coinfections: the critical role of cooperativity

abstract:
  Modeling epidemic dynamics plays an important role in studying how diseases
spread, predicting their future course, and designing strategies to control
them. In this letter, we introduce a model of SIR
(susceptible-infected-removed) type which explicitly incorporates the effect of
{\it cooperative coinfection}. More precisely, each individual can get infected
by two different diseases, and an individual already infected with one disease
has an increased probability to get infected by the other. Depending on the
amount of this increase, we observe different threshold scenarios. Apart from
the standard continuous phase transition for single disease outbreaks, we
observe continuous transitions where both diseases must coexist, but also
discontinuous transitions are observed, where a finite fraction of the
population is already affected by both diseases at the threshold. All our
results are obtained in a mean field model using rate equations, but we argue
that they should hold also in more general frameworks.


title:
Effects of anisotropy in a nonlinear crystal for squeezed vacuum
  generation

abstract:
  Squeezed vacuum (SV) can be obtained by an optical parametric amplifier (OPA)
with the quantum vacuum state at the input. We are interested in a degenerate
type-I OPA based on parametric down-conversion (PDC) where due to phase
matching requirements, an extraordinary polarized pump must impinge onto a
birefringent crystal with a large \chi(2) nonlinearity. As a consequence of the
optical anisotropy of the medium, the direction of propagation of the pump
wavevector does not coincide with the direction of propagation of its energy,
an effect known as transverse walk-off. For certain pump sizes and crystal
lengths, the transverse walk-off has a strong influence on the spatial spectrum
of the generated radiation, which in turn affects the outcome of any experiment
in which this radiation is employed. In this work we propose a method that
reduces the distortions of the two-photon amplitude (TPA) of the states
considered, by using at least two consecutive crystals instead of one. We show
that after anisotropy compensation the TPA becomes symmetric, allowing for a
simple Schmidt expansion, a procedure that in practice requires states that
come from experimental systems free of anisotropy effects.


title: Spontaneously quenched gamma-ray spectra from compact sources

abstract:
  We study a mechanism for producing intrinsic broken power-law gamma-ray
spectra in compact sources. This is based on the principles of automatic photon
quenching, according to which, gamma-rays are being absorbed on spontaneously
produced soft photons, whenever the injected luminosity in gamma-rays lies
above a certain critical value. We derive an analytical expression for the
critical gamma-ray compactness in the case of power-law injection. For the case
where automatic photon quenching is relevant, we calculate analytically the
emergent steady-state gamma-ray spectra. We perform also numerical calculations
in order to back up our analytical results. We show that a spontaneously
quenched power-law gamma-ray spectrum obtains a photon index 3{\Gamma}/2, where
{\Gamma} is the photon index of the power-law at injection. Thus, large
spectral breaks of the gamma-ray photon spectrum, e.g. $\Delta \Gamma \gtrsim
1$, can be obtained by this mechanism. We also discuss additional features of
this mechanism that can be tested observationally. Finally, we fit the
multiwavelength spectrum of a newly discovered blazar (PKS 0447-439) by using
such parameters, as to explain the break in the gamma-ray spectrum by means of
spontaneous photon quenching, under the assumption that its redshift lies in
the range 0.1<z<0.24.


title:
Ergodic properties for \alpha-CIR models and a class of generalized
  Fleming-Viot processes

abstract:
  We discuss a Markov jump process regarded as a variant of the CIR
(Cox-Ingersoll-Ross) model and its infinite-dimensional extension. These models
belong to a class of measure-valued branching processes with immigration, whose
jump mechanisms are governed by certain stable laws. The main result gives a
lower spectral gap estimate for the generator. As an application, a certain
ergodic property is shown for the generalized Fleming-Viot process obtained as
the time-changed ratio process.


title: Extended finite-size scaling of synchronized coupled oscillators

abstract:
  We present a systematic analysis of dynamic scaling in the time evolution of
the phase order parameter for coupled oscillators with non-identical natural
frequencies in terms of the Kuramoto model. This provides a comprehensive view
of phase synchronization. In particular, we extend finite-size scaling (FSS) in
the steady state to dynamics, determine critical exponents, and find the
critical coupling strength. The dynamic scaling approach enables us to measure
not only the FSS exponent associated with the correlation volume in finite
systems but also thermodynamic critical exponents. Based on the extended FSS
theory, we also discuss how the sampling of natural frequencies and thermal
noise affect dynamic scaling, which is numerically confirmed.


title:
Computation of the thermal conductivity using classical and quantum
  molecular dynamics based methods

abstract:
  The thermal conductivity of a model for solid argon is investigated using
nonequilibrium molecular dynamics methods, as well as the traditional Boltzmann
transport equation approach with input from molecular dynamics calculations,
both with classical and quantum thermostats. A surprising result is that, at
low temperatures, only the classical molecular dynamics technique is in
agreement with the experimental data. We argue that this agreement is due to a
compensation of errors, and raise the issue of an appropriate method for
calculating thermal conductivities at low (below Debye) temperatures.


title: Investigations of small-scale magnetic features on the solar surface

abstract:
  Solar activity is controlled by the magnetic field, which also causes the
variability of the solar irradiance that in turn is thought to influence the
climate on Earth. The magnetic field manifests itself in the form of structures
of largely different sizes. This thesis concentrates on two types of the
smallest known magnetic features: The first part studies the properties of
umbral dots, dot-like bright features in the dark umbra of a sunspot. The
obtained umbral dot properties provide a remarkable confirmation of the results
of recent magneto-hydrodynamical simulations. Observations as well as
simulations show that umbral dots differ from their surroundings mainly in the
lowest photospheric layers, where the temperature is enhanced and the magnetic
field is weakened. In addition, the interior of the umbral dots displays strong
upflow velocities which are surrounded by weak downflows. This qualitative
agreement further strengthens the interpretation of umbral dots as localized
columns of overturning convection. The second part of the thesis investigates
bright points, which are small-scale brightness enhancements in the darker
intergranular lanes of the quiet Sun produced by magnetic flux concentrations.
Observational data obtained by the balloon-borne solar telescope SUNRISE are
used in this thesis. For the first time contrasts of bright points in the
important ultraviolet spectral range are determined. A comparison of
observational data with magneto-hydrodynamical simulations revealed a close
correspondence, but only after effects due to the limited spectral and spatial
resolution were carefully included. 98% of the synthetic bright points are
found to be associated with a nearly vertical kilo-Gauss field.


title: Convex Polygons are Self-Coverable

abstract:
  We introduce a new notion for geometric families called self-coverability and
show that homothets of convex polygons are self-coverable. As a corollary, we
obtain several results about coloring point sets such that any member of the
family with many points contains all colors. This is dual (and in some cases
equivalent) to the much investigated cover-decomposability problem.


title:
Spin-Density-Wave-Type Ordering of LaCoGe Revealed by ^{59}Co- and
  ^{139}La-Nuclear Magnetic Resonance Measurements

abstract:
  The low-temperature magnetic properties of LaCoGe with the tetragonal
CeFeSi-type structure were investigated by ^{59}Co- and ^{139}La-nuclear
magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) measurements.
The nuclear spin-lattice relaxation rate divided by the temperature, 1/(T_1 T),
gradually increases with decreasing temperature and shows a kink at
approximately 18 K, below which an inhomogeneous internal field appears at the
Co nuclear site. These results indicate that antiferromagnetic ordering occurs
below T_N ~ 18 K. However, an internal field was not observed at the La nuclear
site below T_N. Taking all NMR results into account, we conclude that
spin-density-wave (SDW)-type ordering occurs, where magnetic correlations are
of the checkerboard type in the ab-plane and have a long periodicity along the
c-axis with inhomogeneous ordered moments pointing to the c-axis.


title:
Integrated optics Bragg grating ring resonators with Q-factor on
  gigascale

abstract:
  In this paper we propose a new optical ring resonator with a very high
Q-factor, to be used as a basic element in a wide range of physics and
engineering applications. We theoretically demonstrate that in large size
conventional ring resonators, a value of the Q-factor higher than 109 is
achievable by exploiting the band-edge resonances in a waveguiding long period
Bragg grating closed loop, excited through a bus waveguide. The dispersion
introduced by the Bragg grating is responsible for a reduction in the band edge
resonance linewidth, which is inversely proportional to the square of the
number of periods of the grating, thus allowing the overall Q-factor to be
enhanced. Numerical results show a substantial improvement in the Q-factor,
giving a number of order of magnitude higher than that of a conventional large
size ring resonator.


title: Is $Z_c(3900)$ a molecular state

abstract:
  Assuming the newly observed $Z_c(3900)$ to be a molecular state of $D\bar
D^*(D^{*} \bar D)$, we calculate the partial widths of $Z_c(3900)\to
J/\psi+\pi;\; \psi'+\pi;\; \eta_c+\rho$ and $D\bar D^*$ within the light front
model (LFM). $Z_c(3900)\to J/\psi+\pi$ is the channel by which $Z_c(3900)$ was
observed, our calculation indicates that it is indeed one of the dominant modes
whose width can be in the range of a few MeV depending on the model parameters.
Similar to $Z_b$ and $Z_b'$, Voloshin suggested that there should be a
resonance $Z_c'$ at 4030 MeV which can be a molecular state of $D^*\bar D^*$.
Then we go on calculating its decay rates to all the aforementioned final
states and as well the $D^*\bar D^*$. It is found that if $Z_c(3900)$ is a
molecular state of ${1\over\sqrt 2}(D\bar D^*+D^*\bar D)$, the partial width of
$Z_c(3900)\to D\bar D^*$ is rather small, but the rate of
$Z_c(3900)\to\psi(2s)\pi$ is even larger than $Z_c(3900)\to J/\psi\pi$. The
implications are discussed and it is indicated that with the luminosity of BES
and BELLE, the experiments may finally determine if $Z_c(3900)$ is a molecular
state or a tetraquark.


title: Finding the Minimum-Weight k-Path

abstract:
  Given a weighted $n$-vertex graph $G$ with integer edge-weights taken from a
range $[-M,M]$, we show that the minimum-weight simple path visiting $k$
vertices can be found in time $\tilde{O}(2^k \poly(k) M n^\omega) = O^*(2^k
M)$. If the weights are reals in $[1,M]$, we provide a
$(1+\varepsilon)$-approximation which has a running time of $\tilde{O}(2^k
\poly(k) n^\omega(\log\log M + 1/\varepsilon))$. For the more general problem
of $k$-tree, in which we wish to find a minimum-weight copy of a $k$-node tree
$T$ in a given weighted graph $G$, under the same restrictions on edge weights
respectively, we give an exact solution of running time $\tilde{O}(2^k \poly(k)
M n^3) $ and a $(1+\varepsilon)$-approximate solution of running time
$\tilde{O}(2^k \poly(k) n^3(\log\log M + 1/\varepsilon))$. All of the above
algorithms are randomized with a polynomially-small error probability.


title:
Effective multiplicity for the Einstein-scalar field Lichnerowicz
  equation

abstract:
  We prove the stability of the Einstein-scalar field Lichnerowicz equation
under subcritical perturbations of the critical nonlinearity in dimensions 3, 4
and 5. As a consequence, we obtain the existence of a second solution to the
equation in several cases. In particular, in the positive case, including the
CMC positive cosmological constant case, we show that each time a solution
exists, the equation produces a second solution with the exception of one
critical value for which the solution is unique.


title:
A novel scheme for hundred-hertz linewidth measurements with
  self-heterodyne method

abstract:
  We propose a novel scheme for accurately determining hundred-hertz linewidth
by delayed self-heterodyne method in which delay time far less than the laser's
coherence time. That exceeds the former understanding as to the delayed
self-heterodyne technique which requiring a prohibitively long fiber. The
self-heterodyne autocorrelation function and power spectrum are evaluated and
by numerical analysis we ensure that -3dB of power spectrum is applied to the
self-heterodyne linewidth measurements. For laser linewidth less than 100 Hz,
linewidth can be measured directly by 10 km fiber, and in more general case
linewidth can be deduced from -20 dB or -40 dB of the fitting Lorentzian curve.


title: Upward and downward statistical continuities

abstract:
  A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set
of real numbers, is statistically upward continuous if it preserves
statistically upward half quasi-Cauchy sequences, is statistically downward
continuous if it preserves statistically downward half quasi-Cauchy sequences;
and a subset $E$ of $\textbf{R}$, is statistically upward compact if any
sequence of points in $E$ has a statistically upward half quasi-Cauchy
subsequence, is statistically downward compact if any sequence of points in $E$
has a statistically downward half quasi-Cauchy subsequence where a sequence
$(x_{n})$ of points in $\textbf{R}$ is called statistically upward half
quasi-Cauchy if \[ \lim_{n\rightarrow\infty}\frac{1}{n}|\{k\leq n:
x_{k}-x_{k+1}\geq \varepsilon\}|=0 \] is statistically downward half
quasi-Cauchy if \[ \lim_{n\rightarrow\infty}\frac{1}{n}|\{k\leq n:
x_{k+1}-x_{k}\geq \varepsilon\}|=0 \] for every $\varepsilon>0$. We investigate
statistically upward continuity, statistically downward continuity,
statistically upward half compactness, statistically downward half compactness
and prove interesting theorems. It turns out that uniform limit of a sequence
of statistically upward continuous functions is statistically upward
continuous, and uniform limit of a sequence of statistically downward
continuous functions is statistically downward continuous.


title:
Limit theorems for weighted functionals of cyclical long-range dependent
  random fields

abstract:
  The paper investigates isotropic random fields for which the spectral density
is unbounded at some frequencies. Limit theorems for weighted functionals of
these random fields are established. It is shown that for a wide class of
functionals, which includes the Donsker scheme, the limit is not affected by
singularities at non-zero frequencies. For general schemes, in contrast to the
Donsker line, we demonstrate that the singularities at non-zero frequencies
play a role even for linear functionals.


title: The Stueckelberg Mechanism in the presence of Physical Scalar Resonances

abstract:
  We show that it is possible to accommodate physical scalar resonances within
a minimal nonlinearly realized electroweak theory in a way compatible with a
natural Hopf algebra selection criterion (Weak Power Counting) and the relevant
functional identities of the model (Local Functional Equation, Slavnov-Taylor
identity, ghost equations, b-equations). The Beyond-the-Standard-Model (BSM)
sector of the theory is studied by BRST techniques. The presence of a mass
generation mechanism \`a la St\"uckelberg allows for two mass invariants in the
gauge boson sector. The corresponding 't Hooft gauge-fixing is constructed by
respecting all the symmetries of the theory. The model interpolates between the
Higgs and a purely St\"uckelberg scenario. Despite the presence of physical
scalar resonances, we show that tree-level violation of unitarity in the
scattering of longitudinally polarized charged gauge bosons occurs at
sufficiently high energies, if a fraction of the mass is generated by the
St\"uckelberg mechanism. The formal properties of the physically favoured limit
after LHC7-8 data, where BSM effects are small and custodial symmetry in the
gauge boson sector is respected, are studied.


title: Energy Efficient Coordinated Beamforming for Multi-cell MISO Systems

abstract:
  In this paper, we investigate the optimal energy efficient coordinated
beamforming in multi-cell multiple-input single-output (MISO) systems with $K$
multiple-antenna base stations (BS) and $K$ single-antenna mobile stations
(MS), where each BS sends information to its own intended MS with cooperatively
designed transmit beamforming. We assume single user detection at the MS by
treating the interference as noise. By taking into account a realistic power
model at the BS, we characterize the Pareto boundary of the achievable energy
efficiency (EE) region of the $K$ links, where the EE of each link is defined
as the achievable data rate at the MS divided by the total power consumption at
the BS. Since the EE of each link is non-cancave (which is a non-concave
function over an affine function), characterizing this boundary is difficult.
To meet this challenge, we relate this multi-cell MISO system to cognitive
radio (CR) MISO channels by applying the concept of interference temperature
(IT), and accordingly transform the EE boundary characterization problem into a
set of fractional concave programming problems. Then, we apply the fractional
concave programming technique to solve these fractional concave problems, and
correspondingly give a parametrization for the EE boundary in terms of IT
levels. Based on this characterization, we further present a decentralized
algorithm to implement the multi-cell coordinated beamforming, which is shown
by simulations to achieve the EE Pareto boundary.


title:
Analysis of hadronic coupling constants $G_{B_c^*B_c\Upsilon}$,
  $G_{B_c^*B_c J/\psi}$, $G_{B_cB_c\Upsilon}$ and $G_{B_cB_c J/\psi}$ with QCD
  sum rules

abstract:
  In this article, we study momentum dependence of the hadronic coupling
constants $G_{B_c^* B_c \Upsilon}$, $G_{B_c^* B_c J/\psi}$, $G_{B_c B_c
\Upsilon}$ and $G_{B_c B_c J/\psi}$ with the off-shell $\Upsilon$ and $J/\psi$
using the three-point QCD sum rules. Then we fit the hadronic coupling
constants into analytical functions and extrapolate them into deep time-like
regions to obtain the on-shell values
  $ G_{B_c^*B_c\Upsilon}(q^2=M_{\Upsilon}^2)$, $ G_{B_c^*B_c
J/\psi}(q^2=M_{J/\psi}^2)$, $ G_{B_cB_c\Upsilon}(q^2=M_{\Upsilon}^2)$ and $
G_{B_cB_c J/\psi}(q^2=M_{J/\psi}^2)$ for the first time. Those hadronic
coupling constants can be taken as basic input parameters in phenomenological
analysis.


title: Fermion condensate from torsion in the reheating era after inflation

abstract:
  The inclusion of Dirac fermions in Einstein-Cartan gravity leads to a
four-fermion interaction mediated by non-propagating torsion, which can allow
for the formation of a Bardeen-Cooper-Schrieffer condensate. By considering a
simplified model in 2+1 spacetime dimensions, we show that even without an
excess of fermions over antifermions, the nonthermal distribution arising from
preheating after inflation can give rise to a fermion condensate generated by
torsion. We derive the effective Lagrangian for the spacetime-dependent pair
field describing the condensate in the extreme cases of nonrelativistic and
massless fermions, and show that it satisfies the Gross-Pitaevski equation for
a gapless, propagating mode.


title:
The taxonomic distribution of asteroids from multi-filter all-sky
  photometric surveys

abstract:
  The distribution of asteroids across the Main Belt has been studied for
decades to understand the compositional distribution and what that tells us
about the formation and evolution of our solar system. All-sky surveys now
provide orders of magnitude more data than targeted surveys. We present a
method to bias-correct the asteroid population observed in the Sloan Digital
Sky Survey (SDSS) according to size, distance, and albedo. We taxonomically
classify this dataset consistent with the Bus and Bus-DeMeo systems and present
the resulting taxonomic distribution. The dataset includes asteroids as small
as 5 km, a factor of three in diameter smaller than in previous works. Because
of the wide range of sizes in our sample, we present the distribution by
number, surface area, volume, and mass whereas previous work was exclusively by
number. While the distribution by number is a useful quantity and has been used
for decades, these additional quantities provide new insights into the
distribution of total material. We find evidence for D-types in the inner main
belt where they are unexpected according to dynamical models of implantation of
bodies from the outer solar system into the inner solar system during planetary
migration (Levison et al. 2009). We find no evidence of S-types or other
unexpected classes among Trojans and Hildas, albeit a bias favoring such a
detection. Finally, we estimate for the first time the total amount of material
of each class in the inner solar system. The main belt's most massive classes
are C, B, P, V and S in decreasing order. Excluding the four most massive
asteroids, Ceres, Pallas, Vesta and Hygiea that heavily skew the values,
primitive material (C-, P-types) account for more than half main-belt and
Trojan asteroids by mass, most of the remaining mass being in the S-types. All
the other classes are minor contributors to the material between Mars and
Jupiter.


title:
Near the sill of the conformal window: gauge theories with fermions in
  two-index representations

abstract:
  We apply Schroedinger functional methods to two gauge theories with fermions
in two-index representations: the SU(3) theory with Nf=2 adjoint fermions, and
the SU(4) theory with Nf=6 fermions in the two-index antisymmetric
representation. Each theory is believed to lie near the bottom of the conformal
window for its respective representation. In the SU(3) theory we find a small
beta function in strong coupling but we cannot confirm or rule out an infrared
fixed point. In the SU(4) theory we find a hint of walking - a beta function
that approaches the axis and then turns away from it. In both theories the mass
anomalous dimension remains small even at the strongest couplings, much like
the theories with fermions in the two-index symmetric representation
investigated earlier.


title: Deviations from Tri-Bimaximal Neutrino Mixing Using Type II Seesaw

abstract:
  We study the possibility of generating deviations from tri-bimaximal (TBM)
neutrino mixing to explain the non-zero reactor mixing angle within the
framework of both type I and type II seesaw mechanisms. The type I seesaw term
gives rise to the $\mu-\tau$ symmetric TBM pattern of neutrino mass matrix as
predicted by generic flavor symmetry models like $A_4$ whereas the type II
seesaw term gives rise to the required deviations from TBM pattern to explain
the non-zero $\theta_{13}$. Considering extremal values of Majorana CP phases
such that the neutrino mass eigenvalues have the structure $(m_1, -m_2, m_3)$
and $(m_1, m_2, m_3)$, we numerically fit the type I seesaw term by taking
oscillation as well as cosmology data and then compute the predictions for
neutrino parameters after the type II seesaw term is introduced. We consider a
minimal structure of the type II seesaw term and check whether the predictions
for neutrino parameters lie in the $3\sigma$ range. We also outline two
possible flavor symmetry models to justify the minimal structure of the type II
seesaw term considered in the analysis.


title: Testing experiments on synchronized Petri nets

abstract:
  Synchronizing sequences have been proposed in the late 60's to solve testing
problems on systems modeled by finite state machines. Such sequences lead a
system, seen as a black box, from an unknown current state to a known final
one. This paper presents a first investigation of the computation of
synchronizing sequences for systems modeled by bounded synchronized Petri nets.
In the first part of the paper, existing techniques for automata are adapted to
this new setting. Later on, new approaches, that exploit the net structure to
efficiently compute synchronizing sequences without an exhaustive enumeration
of the state space, are presented.


title: Uniform convergence of wavelet expansions of Gaussian random processes

abstract:
  New results on uniform convergence in probability for the most general
classes of wavelet expansions of stationary Gaussian random processes are
given.


title: On Non-Autonomous Integro-Differential-Algebraic Evolutionary Problems

abstract:
  In this article, we show that a technique for showing well-posedness results
for evolutionary equations in the sense of [13] established in [16] applies to
a broader class of non-autonomous integro-differential-algebraic equations.
Using the concept of evolutionary mappings we prove that the respective
solution operators do not depend on certain parameters describing the
underlying spaces in which the well-posedness results are established.


title:
On The Fast Fading Multiple-Antenna Gaussian Broadcast Channel with
  Confidential Messages and Partial CSIT

abstract:
  In wiretap channels the eavesdropper's channel state information (CSI) is
commonly assumed to be known at transmitter, fully or partially. However, under
perfect secrecy constraint the eavesdropper may not be motivated to feedback
any correct CSI. In this paper we consider a more feasible problem for the
transmitter to have eavesdropper's CSI. That is, the fast fading
multiple-antenna Gaussian broadcast channels (FMGBC-CM) with confidential
messages, where both receivers are legitimate users such that they both are
willing to feedback accurate CSI to maintain their secure transmission, and not
to be eavesdropped by the other. We assume that only the statistics of the
channel state information are known by the transmitter. We first show the
necessary condition for the FMGBC-CM not to be degraded to the common wiretap
channels. Then we derive the achievable rate region for the FMGBC-CM where the
channel input covariance matrices and the inflation factor are left unknown and
to be solved. After that we provide an analytical solution to the channel input
covariance matrices. We also propose an iterative algorithm to solve the
channel input covariance matrices and the inflation factor. Due to the
complicated rate region formulae in normal SNR, we resort to low SNR analysis
to investigate the characteristics of the channel. Finally, numerical examples
show that under perfect secrecy constraint both users can achieve positive
rates simultaneously, which verifies our derived necessary condition. Numerical
results also elucidate the effectiveness of the analytic solution and proposed
algorithm of solving the channel input covariance matrices and the inflation
factor under different conditions.


title:
Interplay between classical magnetic moments and superconductivity in
  quantum one-dimensional conductors: toward a self-sustained topological
  Majorana phase

abstract:
  We study a one-dimensional (1D) interacting electronic liquid coupled to a 1D
array of classical magnetic moments and to a superconductor. We show that at
low energy and temperature the magnetic moments and the electrons become
strongly entangled and that a magnetic spiral structure emerges without any
adjustable parameters. For strong enough coupling between the two, the 1D
electronic liquid is driven into a topological superconducting phase supporting
Majorana fermions without any fine-tuning of external parameters. Our analysis
applies at low enough temperature to a quantum wire in proximity of a
superconductor when the hyperfine interaction between electrons and nuclear
spins is taken into account or to a chain of magnetic adatoms adsorbed on a
superconducting surface.


title: Average sampling restoration of harmonizable processes

abstract:
  The harmonizable Piranashvili-type stochastic processes are approximated by
finite time shifted average sampling sums. Explicit truncation error upper
bounds are established. Various corollaries and special cases are discussed.


title: Strain-controlled nonvolatile magnetization switching

abstract:
  We investigate different approaches towards a nonvolatile switching of the
remanent magnetization in single-crystalline ferromagnets at room temperature
via elastic strain using ferromagnetic thin film/piezoelectric actuator
hybrids. The piezoelectric actuator induces a voltage-controllable strain along
different crystalline directions of the ferromagnetic thin film, resulting in
modifications of its magnetization by converse magnetoelastic effects. We
quantify the magnetization changes in the hybrids via ferromagnetic resonance
spectroscopy and superconducting quantum interference device magnetometry.
These measurements demonstrate a significant strain-induced change of the
magnetization, limited by an inefficient strain transfer and domain formation
in the particular system studied. To overcome these obstacles, we address
practicable engineering concepts and use a model to demonstrate that a
strain-controlled, nonvolatile magnetization switching should be possible in
appropriately engineered ferromagnetic/piezoelectric actuator hybrids.


title: Major Limitations of Satellite images

abstract:
  Remote sensing has proven to be a powerful tool for the monitoring of the
Earth surface to improve our perception of our surroundings has led to
unprecedented developments in sensor and information technologies. However,
technologies for effective use of the data and for extracting useful
information from the data of Remote sensing are still very limited since no
single sensor combines the optimal spectral, spatial and temporal resolution.
This paper briefly reviews the limitations of satellite remote sensing. Also,
reviews on the problems of image fusion techniques. The conclusion of this,
According to literature, the remote sensing is still the lack of software tools
for effective information extraction from remote sensing data. The trade-off in
spectral and spatial resolution will remain and new advanced data fusion
approaches are needed to make optimal use of remote sensors for extract the
most useful information.


title:
Limiting behavior of the Jeffreys Power-Expected-Posterior Bayes Factor
  in Gaussian Linear Models

abstract:
  Expected-posterior priors (EPP) have been proved to be extremely useful for
testing hypothesis on the regression coefficients of normal linear models. One
of the advantages of using EPPs is that impropriety of baseline priors causes
no indeterminacy. However, in regression problems, they based on one or more
\textit{training samples}, that could influence the resulting posterior
distribution. The power-expected-posterior priors are minimally-informative
priors that diminishing the effect of training samples on the EPP approach, by
combining ideas from the power-prior and unit-information-prior methodologies.
In this paper we show the consistency of the Bayes factors when using the
power-expected-posterior priors, with the independence Jeffreys (or reference)
prior as a baseline, for normal linear models under very mild conditions on the
design matrix.


title: Strict Local Martingales with Jumps

abstract:
  A strict local martingale is a local martingale which is not a martingale.
There are few explicit examples of "naturally occurring" strict local
martingales with jumps available in the literature. The purpose of this paper
is to provide such examples, and to illustrate how they might arise via
filtration shrinkage, a phenomenon we would contend is common in applications
such as filtering, control, and especially in mathematical finance. We give a
method for constructing such examples and analyze one particular method in
detail.


title: Cyclicity for Unbounded Multiplication Operators in Lp- and C0-Spaces

abstract:
  For every, possibly unbounded, multiplication operator in $L^p$-space, $p\in
]0,\infty[$, on finite separable measure space we show that multicyclicity,
multi-*-cyclicity, and multiplicity coincide. This result includes and
generalizes Bram's much cited theorem from 1955 on bounded *-cyclic normal
operators. It also includes as a core result cyclicity of the multiplication
operator $M_z$ by the complex variable $z$ in $L^p(\mu)$ for every Borel
measure $\mu$ on $\C$. The concise proof is based in part on the result that
the function $e^{-|z|^2}$ is a *-cyclic vector for $M_z$ in $C_0(\C)$ and
further in $L^p(\mu)$. We characterize topologically those locally compact sets
$X\subset \C$, for which $M_z$ in $C_0(X)$ is cyclic.


title: Efficient Probabilistic Group Testing Based on Traitor Tracing

abstract:
  Inspired by recent results from collusion-resistant traitor tracing, we
provide a framework for constructing efficient probabilistic group testing
schemes. In the traditional group testing model, our scheme asymptotically
requires T ~ 2 K ln N tests to find (with high probability) the correct set of
K defectives out of N items. The framework is also applied to several noisy
group testing and threshold group testing models, often leading to improvements
over previously known results, but we emphasize that this framework can be
applied to other variants of the classical model as well, both in adaptive and
in non-adaptive settings.


title:
Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled
  Fermi Gases

abstract:
  Pairing in an attractively interacting two-component Fermi gas in the absence
of the inversion symmetry and/or the time-reversal symmetry may give rise to
exotic superfluid states. Notable examples range from the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state with a finite center-of-mass
momentum in a polarized Fermi gas, to the topological superfluid state in a
two-dimensional Fermi gas under Rashba spin-orbit coupling and an out-of-plane
Zeeman field. Here, we show that a topological FFLO state can be stabilized in
a two-dimensional Fermi gas with Rashba spin-orbit coupling and both in-plane
and out-of-plane Zeeman fields. We characterize the topological FFLO state by a
non-trivial Berry phase, and demonstrate the stability region of the state on
the zero-temperature phase diagram. Given its unique properties in both the
quasi-particle dispersion spectra and the momentum distribution, signatures of
the topological FFLO state can be detected using existing experimental
techniques.


title: Image Fusion Technologies In Commercial Remote Sensing Packages

abstract:
  Several remote sensing software packages are used to the explicit purpose of
analyzing and visualizing remotely sensed data, with the developing of remote
sensing sensor technologies from last ten years. Accord-ing to literature, the
remote sensing is still the lack of software tools for effective information
extraction from remote sensing data. So, this paper provides a state-of-art of
multi-sensor image fusion technologies as well as review on the quality
evaluation of the single image or fused images in the commercial remote sensing
pack-ages. It also introduces program (ALwassaiProcess) developed for image
fusion and classification.


title:
On Selmer groups of abelian varieties over $\ell$-adic Lie extensions of
  global function fields

abstract:
  Let $F$ be a global function field of characteristic $p>0$ and $A/F$ an
abelian variety. Let $K/F$ be an $\l$-adic Lie extension ($\l\neq p$)
unramified outside a finite set of primes $S$ and such that $\Gal(K/F)$ has no
elements of order $\l$. We shall prove that, under certain conditions,
$Sel_A(K)_\l^\vee$ has no nontrivial pseudo-null submodule.


title:
Power-Expected-Posterior Priors for Variable Selection in Gaussian
  Linear Models

abstract:
  In the context of the expected-posterior prior (EPP) approach to Bayesian
variable selection in linear models, we combine ideas from power-prior and
unit-information-prior methodologies to simultaneously produce a
minimally-informative prior and diminish the effect of training samples. The
result is that in practice our power-expected-posterior (PEP) methodology is
sufficiently insensitive to the size n* of the training sample, due to PEP's
unit-information construction, that one may take n* equal to the full-data
sample size n and dispense with training samples altogether. In this paper we
focus on Gaussian linear models and develop our method under two different
baseline prior choices: the independence Jeffreys (or reference) prior,
yielding the J-PEP posterior, and the Zellner g-prior, leading to Z-PEP. We
find that, under the reference baseline prior, the asymptotics of PEP Bayes
factors are equivalent to those of Schwartz's BIC criterion, ensuring
consistency of the PEP approach to model selection. We compare the performance
of our method, in simulation studies and a real example involving prediction of
air-pollutant concentrations from meteorological covariates, with that of a
variety of previously-defined variants on Bayes factors for objective variable
selection. Our prior, due to its unit-information structure, leads to a
variable-selection procedure that (1) is systematically more parsimonious than
the basic EPP with minimal training sample, while sacrificing no desirable
performance characteristics to achieve this parsimony; (2) is robust to the
size of the training sample, thus enjoying the advantages described above
arising from the avoidance of training samples altogether; and (3) identifies
maximum-a-posteriori models that achieve good out-of-sample predictive
performance.


title:
Reduced variable optimization methods via implicit functional dependence
  with applications

abstract:
  Optimization methods have been broadly applied to two classes of objects viz.
(i) modeling and description of data and (ii) the determination of the
stationary points of functions. Here, a theoretical basis is developed that
optimizes an arbitrary number of variables for classes (i) and (ii) by the
minimization of a function of a single variable. Algorithms that focus on a
reduced variable set also avoid problems associated with multiple minima and
maxima that arise because of the large numbers of parameters. The methods
described could have applications in the physical sciences where the
optimization of one physically significant variable has priority over the other
variables. For (i), we develop both an approximate but computationally more
tractable method and an exact method where the single controlling variable k of
all the other variables (P,k) passes through the local stationary point of the
least squares (LS) metric. For (ii), an exact theory is developed whereby the
optimized function of an independent variation of all parameters coincides with
that due to single parameter optimization. The implicit function theorem has to
be further qualified to arrive at this result. The topology of the surfaces of
constant value of the target or cost function are considered for all the
methods. A real world application of the above implicit methodology to rate
constant and final concentration parameter determination for first and second
order chemical reactions from published data. This work is different from and
more general than all the reduction schemes for conditional linear parameters
nor is it a subset of the Adomian decomposition method (ADM) used for
estimating solutions of differential equations, which still require boundary
conditions that do not feature in topics (i) and (ii).


title: Finitely forcible graphons and permutons

abstract:
  We investigate when limits of graphs (graphons) and permutations (permutons)
are uniquely determined by finitely many densities of their substructures,
i.e., when they are finitely forcible. Every permuton can be associated with a
graphon through the notion of permutation graphs. We find permutons that are
finitely forcible but the associated graphons are not. We also show that all
permutons that can be expressed as a finite combination of monotone permutons
and quasirandom permutons are finitely forcible, which is the permuton
counterpart of the result of Lovasz and Sos for graphons.


title: Structure and evolution of high-mass stellar mergers

abstract:
  In young dense clusters repeated collisions between massive stars may lead to
the formation of a very massive star (above 100 Msun). In the past the study of
the long-term evolution of merger remnants has mostly focussed on collisions
between low-mass stars (up to about 2 Msun) in the context of blue-straggler
formation. The evolution of collision products of more massive stars has not
been as thoroughly investigated. In this paper we study the long-term evolution
of a number of stellar mergers formed by the head-on collision of a primary
star with a mass of 5-40 Msun with a lower mass star at three points in its
evolution in order to better understand their evolution.
  We use smooth particle hydrodynamics (SPH) calculations to model the
collision between the stars. The outcome of this calculation is reduced to one
dimension and imported into a stellar evolution code. We follow the subsequent
evolution of the collision product through the main sequence at least until the
onset of helium burning.
  We find that little hydrogen is mixed into the core of the collision
products, in agreement with previous studies of collisions between low-mass
stars. For collisions involving evolved stars we find that during the merger
the surface nitrogen abundance can be strongly enhanced. The evolution of most
of the collision products proceeds analogously to that of normal stars with the
same mass, but with a larger radius and luminosity. However, the evolution of
collision products that form with a hydrogen depleted core is markedly
different from that of normal stars with the same mass. They undergo a
long-lived period of hydrogen shell burning close to the main-sequence band in
the Hertzsprung-Russell diagram and spend the initial part of core helium
burning as compact blue supergiants.