title:
Projective structures and exact variational formula of monodromy group
  of the linear differential equations on compact Riemann surface

abstract:
  In this paper we are investigated the monodromy group for linearly
polymorphic functions on compact Riemann surface of genus $g \geq 2,$ in
connection with standard uniformization of these surfaces by Kleinian groups,
and are found a neccessary and sufficients conditions, that a linearly
polymorphic function on compact Riemann surface gave a standard uniformization
of this surface. We are investigated the monodromy mapping $p : {\bf T}_{g}Q
\rightarrow \mathcal{M},$ where ${\bf T}_{g}Q$ is a vector bundle of
holomorphic quadratic abelian differentials over the Teichmueller space of
compact Riemann surfaces of genus $g,$ $\mathcal{M}$ is a space of monodromy
groups for of genus $g.$ Here is proved that over any space, which consist from
quasiconformal deformations by Koebe group of signature $\sigma = (h, s;
i_{1},..., i_{m}),$ connected with standard uniformization compact Riemann
surface of genus $g = |\sigma|,$ this mapping $p$ has the lifting of path
property . Also we are received exact variational formula for monodromy group
of the linear differential equation of the second order and the first variation
for solution of the Schwartz equation on compact Riemann surface.


title:
BMO-estimation and Almost Everywhere Exponential Summability of
  Quadratic Partial Sums of Double Fourier Series

abstract:
  It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional
Fourier series from which it is derived an almost everywhere exponential
summability of quadratic partial sums of double Fourier series.


title:
Polarization effects in the Higgs boson decay to gamma Z and test of CP
  and CPT symmetries

abstract:
  Polarization characteristics of gamma gamma and gamma Z states in the Higgs
boson decays h -> gamma gamma and h -> gamma Z are discussed. Based on
effective Lagrangian, describing h gamma gamma and h gamma Z interactions with
CP-even and CP-odd parts, we calculate polarization parameters xi_1, xi_2,
xi_3. A nonzero value of the photon circular polarization, defined by parameter
xi_2, arises due to presence of both parts in effective Lagrangian and its
non-Hermiticity. The circular polarization is proportional to the
forward-backward asymmetry of fermions in the decay h -> gamma Z -> gamma f
bar{f}. Measurement of this observable would allow one to search for deviation
from the standard model and possible violation of CPT symmetry. We discuss also
a possibility to measure parameters xi_1, xi_3, describing correlation of
linear polarizations of photon and Z boson, in the decay h -> gamma* Z -> l+ l-
Z via distribution over the azimuthal angle between the decay planes of gamma*
-> l+ l- and Z -> f bar{f}. Deviation of the measured value of xi_1 from zero
will indicate CP violation in the Higgs sector.


title:
Dominance of quantum over classical correlations: entropic and geometric
  approach

abstract:
  Recently, it has been shown that there exist quantum states for which quantum
correlations dominate over classical correlations. Inspired by this
observation, we investigate the problem of quantum correlations dominance for
two-qubit Bell diagonal states in the Ollivier--Zurek paradigm, using both
entropic and geometric approach to quantification of classical and quantum
correlations. In particular, we estimate numerically the amount of two-qubit
Bell diagonal states for which quantum correlations dominate over classical
correlations, and vice versa. Moreover, we show that in general these two
approaches to quantification of correlations provide ambiguous results.


title: The proof of non-homogeneous T1 theorem via averaging of dyadic shifts

abstract:
  We give again a proof of non-homogeneous T1 theorem. Our proof consists of
three main parts: a construction of a random dyadic lattice; an estimate of
matrix coefficients of a Calder\'on--Zygmund operator with respect to random
Haar basis if a smaller Haar support is good; a clever averaging trick from
Hyt\"onen's papers which uses the averaging over dyadic lattices to decompose
operator into dyadic shifts eliminating the error term that was present in the
previous proofs by Nazarov--Treil--Volberg.


title:
Classical capacity of the noisy bosonic channel and the bosonic minimum
  output entropy conjecture

abstract:
  We consider a line with noise in the simplest case. Loss does not add noise.
Amplification via phase insensitive amplifiers do add noise. A lower bound of
this capacity is the quantum analog to the Shannon capacity of a linear channel
with additive white Gaussian noise, namely the difference of the Von Neumann
entropy of the signal plus noise at the output of the line and the entropy of
the noise alone. We show that this expression is indeed the capacity for the
case of an amplifier with infinitesimal gain $G = 1+\epsilon$, and for a
cascade of an amplifier with arbitrary gain and a large loss, such that the
overall gain of the cascade is infinitesimal.


title: Further results on the global cyclicity index of graphs

abstract:
  Being motivated in terms of mathematical concepts from the theory of
electrical networks, Klein & Ivanciuc introduced and studied a new
graph-theoretic cyclicity index--the global cyclicity index (Graph cyclicity,
excess conductance, and resistance deficit, J. Math. Chem. 30 (2001) 271--287).
In this paper, by utilizing techniques from graph theory, electrical network
theory and real analysis, we obtain some further results on this new cyclicity
measure, including the strictly monotone increasing property, some lower and
upper bounds, and some Nordhuas-Gaddum-type results. In particular, we
establish a relationship between the global cyclicity index $C(G)$ and the
cyclomatic number $\mu(G)$ of a connected graph $G$ with $n$ vertices and $m$
edges: $$\frac{m}{n-1}\mu(G)\leq C(G)\leq \frac{n}{2}\mu(G).$$


title:
Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric
  Properties

abstract:
  In this paper we provide an up-to-date survey on the study of Lipschitz
equivalence of self-similar sets. Lipschitz equivalence is an important
property in fractal geometry because it preserves many key properties of
fractal sets. A fundamental result by Falconer and Marsh [On the Lipschitz
equivalence of Cantor sets, \textit{Mathematika}, \textbf{39} (1992), 223--233]
establishes conditions for Lipschitz equivalence based on the algebraic
properties of the contraction ratios of the self-similar sets. Recently there
has been other substantial progress in the field. This paper is a comprehensive
survey of the field. It provides a summary of the important and interesting
results in the field. In addition we provide detailed discussions on several
important techniques that have been used to prove some of the key results. It
is our hope that the paper will provide a good overview of major results and
techniques, and a friendly entry point for anyone who is interested in studying
problems in this field.


title: Nonlinear Quantum Search Using the Gross-Pitaevskii Equation

abstract:
  We solve the unstructured search problem in constant time by computing with a
physically motivated nonlinearity of the Gross-Pitaevskii type. This speedup
comes, however, at the novel expense of increasing the time-measurement
precision. Jointly optimizing these resource requirements results in an overall
scaling of $N^{1/4}$. This is a significant, but not unreasonable, improvement
over the $N^{1/2}$ scaling of Grover's algorithm. Since the Gross-Pitaevskii
equation approximates the multi-particle (linear) Schr\"odinger equation, for
which Grover's algorithm is optimal, our result leads to a quantum
information-theoretic lower bound on the number of particles needed for this
approximation to hold, asymptotically.


title: Jordan Derivations of some extension algebras

abstract:
  In this paper, we mainly study Jordan derivations of dual extension algebras
and those of generalized one-point extension algebras. It is shown that every
Jordan derivation of dual extension algebras is a derivation. As applications,
we obtain that every Jordan generalized derivation and every generalized Jordan
derivation on dual extension algebras are both generalized derivations. For
generalized one-point extension algebras, it is proved that under certain
conditions, each Jordan derivation of them is the sum of a derivation and an
anti-derivation.


title: Newtonian limit of Maxwell fluid flows

abstract:
  In this paper, we revise Maxwell's constitutive relation and formulate a
system of first-order partial differential equations with two parameters for
compressible viscoelastic fluid flows. The system is shown to possess a nice
conservation-dissipation (relaxation) structure and therefore is symmetrizable
hyperbolic. Moreover, for smooth flows we rigorously verify that the revised
Maxwell's constitutive relations are compatible with Newton's law of viscosity.


title: Minimal sets of fibre-preserving maps in graph bundles

abstract:
  Topological structure of minimal sets is studied for a dynamical system
$(E,F)$ given by a fibre-preserving, in general non-invertible, continuous
selfmap $F$ of a graph bundle $E$. These systems include, as a very particular
case, quasiperiodically forced circle homeomorphisms. Let $M$ be a minimal set
of $F$ with full projection onto the base space $B$ of the bundle. We show that
$M$ is nowhere dense or has nonempty interior depending on whether the set of
so called endpoints of $M$ is dense in $M$ or is empty. If $M$ is nowhere
dense, we prove that either a typical fibre of $M$ is a Cantor set, or there is
a positive integer $N$ such that a typical fibre of $M$ has cardinality $N$. If
$M$ has nonempty interior we prove that there is a positive integer $m$ such
that a typical fibre of $M$, in fact even each fibre of $M$ over a \emph{dense
open} set $\mathcal O \subseteq B$, is a disjoint union of $m$ circles.
Moreover, we show that each of the fibres of $M$ over $B\setminus \mathcal O$
is a union of circles properly containing a disjoint union of $m$ circles.
Surprisingly, some of the circles in such "non-typical" fibres of $M$ may
intersect. We also give sufficient conditions for $M$ to be a sub-bundle of
$E$.


title: Super-magnetoresistance effect in triplet spin valves

abstract:
  We study a triplet spin valve obtained by intercalating a triplet
superconductor spacer between two ferromagnetic regions with non-collinear
magnetizations. We demonstrate that the magnetoresitance of the triplet spin
valve depends on the relative orientations of the d-vector, characterizing the
superconducting state, and the magnetization directions of the ferromagnetic
layers. For devices characterized by a long superconductor, the Cooper pairs
spintronics regime is reached allowing to observe the properties of a polarized
current sustained by Cooper pairs only. In this regime a
super-magnetoresistance effect emerges, and the chiral symmetry of the order
parameter of the superconducting spacer is easily recognized. Our findings open
new perspectives in designing devices based on the cooperative nature of
ferromagnetic and triplet correlations in a spintronic framework.


title: The Algebra of Directed Acyclic Graphs

abstract:
  We give an algebraic presentation of directed acyclic graph structure,
introducing a symmetric monoidal equational theory whose free PROP we
characterise as that of finite abstract dags with input/output interfaces. Our
development provides an initial-algebra semantics for dag structure.


title: New Online Algorithm for Dynamic Speed Scaling with Sleep State

abstract:
  In this paper, we consider an energy-efficient scheduling problem where $n$
jobs $J_1, J_2, ..., J_n$ need to be executed such that the total energy usage
of these jobs is minimized while ensuring that each job is finished within it's
deadline. We work in an online setting where a job is known only at it's
arrival time, along with it's processing volume and deadline. In such a
setting, the currently best-known algorithm by Han et al. \cite{han} provides a
competitive ratio max $\{4, 2 + {\alpha}^{\alpha}\}$ of energy usage. In this
paper, we present a new online algorithm SqOA which provides a competitive
ratio max $\{4, 2 + (2-1/{\alpha})^\alpha 2^{\alpha-1}\}$ of energy usage. For
$\alpha \geq 3$, the competitive ratio of our algorithm is better than that of
any other existing algorithms for this problem.


title: The Solar Corona: Why It Is Interesting for Us

abstract:
  Strong magnetic fields are of vital importance to the physics of the solar
corona. They easily move a rarefied coronal plasma. Physical origin of the main
structural element of the corona, the so-called coronal streamers, is
discussed. It is shown that the reconnecting current layers inside streamers
determine their large-scale structure and evolution, including creation,
disruption and recovery. Small-scale (fine) magnetic fields in the photosphere
experience random motion. Their reconnection appears to be an important source
of energy flux for quiet-corona heating. For active-corona heating, the
peculiarities of entropy and magnetoacoustic waves, related to radiative
cooling, are significant and should be taken into account in the coronal
heating theory.


title: Proceedings Eighth Workshop on Model-Based Testing

abstract:
  This volume contains the proceedings of the Eighth Workshop on Model-Based
Testing (MBT 2013), which was held on March 17, 2013 in Rome, Italy, as a
satellite event of the European Joint Conferences on Theory and Practice of
Software, ETAPS 2013.
  The workshop is devoted to model-based testing of both software and hardware.
Model-based testing uses models describing the required behavior of the system
under consideration to guide such efforts as test selection and test results
evaluation. Testing validates the real system behavior against models and
checks that the implementation conforms to them, but is capable also to find
errors in the models themselves.
  The first MBT workshop was held in 2004, in Barcelona. At that time MBT
already had become a hot topic, but the MBT workshop was the first event
devoted mostly to this domain. Since that time the area has generated enormous
scientific interest, and today there are several specialized workshops and more
broad conferences on software and hardware design and quality assurance
covering model based testing. MBT has become one of the most powerful system
analysis tools, one of the latest cutting-edge topics related is applying MBT
in security analysis and testing. MBT workshop tries to keep up with current
trends.


title: The pGAPS experiment: an engineering balloon flight of prototype GAPS

abstract:
  The General Anti-Particle Spectrometer (GAPS) project is being carried out to
search for primary cosmic-ray antiparticles especially for antideuterons
produced by cold dark matter. GAPS plans to realize the science observation by
Antarctic long duration balloon flights in the late 2010s. In preparation for
the Antarctic science flights, an engineering balloon flight using a prototype
of the GAPS instrument, "pGAPS", was successfully carried out in June 2012 in
Japan to verify the basic performance of each GAPS subsystem. The outline of
the pGAPS flight campaign is briefly reported.


title:
Spectral Efficient Optimization in OFDM Systems with Wireless
  Information and Power Transfer

abstract:
  This paper considers an orthogonal frequency division multiplexing (OFDM)
point-to-point wireless communication system with simultaneous wireless
information and power transfer. We study a receiver which is able to harvest
energy from the desired signal, noise, and interference. In particular, we
consider a power splitting receiver which dynamically splits the received power
into two power streams for information decoding and energy harvesting. We
design power allocation algorithms maximizing the spectral efficiency
(bit/s/Hz) of data transmission. In particular, the algorithm design is
formulated as a nonconvex optimization problem which takes into account the
constraint on the minimum power delivered to the receiver. The problem is
solved by using convex optimization techniques and a one-dimensional search.
The optimal power allocation algorithm serves as a system benchmark scheme due
to its high complexity. To strike a balance between system performance and
computational complexity, we also propose two suboptimal algorithms which
require a low computational complexity. Simulation results demonstrate the
excellent performance of the proposed suboptimal algorithms.


title: Network algebra for synchronous dataflow

abstract:
  We develop an algebraic theory of synchronous dataflow networks. First, a
basic algebraic theory of networks, called BNA (Basic Network Algebra), is
introduced. This theory captures the basic algebraic properties of networks.
For synchronous dataflow networks, it is subsequently extended with additional
constants for the branching connections that occur between the cells of
synchronous dataflow networks and axioms for these additional constants. We
also give two models of the resulting theory, the one based on stream
transformers and the other based on processes as considered in process algebra.


title: Local Gaussian process approximation for large computer experiments

abstract:
  We provide a new approach to approximate emulation of large computer
experiments. By focusing expressly on desirable properties of the predictive
equations, we derive a family of local sequential design schemes that
dynamically define the support of a Gaussian process predictor based on a local
subset of the data. We further derive expressions for fast sequential updating
of all needed quantities as the local designs are built-up iteratively. Then we
show how independent application of our local design strategy across the
elements of a vast predictive grid facilitates a trivially parallel
implementation. The end result is a global predictor able to take advantage of
modern multicore architectures, while at the same time allowing for a
nonstationary modeling feature as a bonus. We demonstrate our method on two
examples utilizing designs sized in the thousands, and tens of thousands of
data points. Comparisons are made to the method of compactly supported
covariances.


title:
Cosmological constraints on holographic dark energy models under the
  energy conditions

abstract:
  We study the holographic and agegraphic dark energy models without
interaction using the latest observational Hubble parameter data (OHD), the
Union2.1 compilation of type Ia supernovae (SNIa), and the energy conditions.
Scenarios of dark energy are distinguished by the cut-off of cosmic age,
conformal time, and event horizon. The best-fit value of matter density for the
three scenarios almost steadily located at $\Omega_{m0}=0.26$ by the joint
constraint. For the agegraphic models, they can be recovered to the standard
cosmological model when the constant $c$ which presents the fraction of dark
energy approaches to infinity. Absence of upper limit of $c$ by the joint
constraint demonstrates the recovery possibility. Using the fitted result, we
also reconstruct the current equation of state of dark energy at different
scenarios, respectively. Employing the model criteria
$\chi^2_{\textrm{min}}/dof$, we find that conformal time model is the worst,
but they can not be distinguished clearly. Comparing with the observational
constraints, we find that SEC is fulfilled at redshift $0.2 \lesssim z \lesssim
0.3$ with $1\sigma$ confidence level. We also find that NEC gives a meaningful
constraint for the event horizon cut-off model, especially compared with OHD
only. We note that the energy condition maybe could play an important role in
the interacting models because of different degeneracy between $\Omega_m$ and
constant $c$.


title: Quasi-Frobenius-Lusztig kernels for simple Lie algebras

abstract:
  In this paper, we construct the quasi-Frobenius-Lusztig kernel for any simple
Lie algebra $\mathfrak{g}$.


title: Blowup as a driving mechanism of turbulence in shell models

abstract:
  Since Kolmogorov proposed his phenomenological theory of hydrodynamic
turbulence in 1941, the description of mechanism leading to the energy cascade
and anomalous scaling remains an open problem in fluid mechanics. Soon after,
in 1949 Onsager noticed that the scaling properties in inertial range imply
non-differentiability of the velocity field in the limit of vanishing
viscosity. This observation suggests that the turbulence mechanism may be
related to a finite-time singularity (blowup) of incompressible Euler
equations. However, the existence of such blowup is still an open problem too.
In this paper, we show that the blowup indeed represents the driving mechanism
of inertial range for a simplified (shell) model of turbulence. Here, blowups
generate coherent structures (instantons), which travel through the inertial
range in finite time and are described by universal self-similar statistics.
The anomaly (deviation of scaling exponents of velocity moments from the
Kolmogorov theory) is related analytically to the process of instanton creation
using the large deviation principle. The results are confirmed by numerical
simulations.


title: On Isometric Representations of the Perforated Semigroup

abstract:
  We study isometric representations of the semigroup $\mathbb{Z}_+\backslash
\{1\}$. Notion of an inverse representation is introduced and a complete
description (up to unitary equivalence) of such representations is given. Also,
we study a class of non-inverse irreducible representations --
$\beta$-representations of the semigroup $\mathbb{Z}_+\backslash \{1\}$.


title: On computation of the total set of robust discrete-time PID controllers

abstract:
  The problem of finding the set of all multi-model robust PID and three-term
stabilizers for discrete-time systems is solved in this paper. The method uses
the fact that decoupling of parameter space at singular frequencies is
invariant under a linear transformation. The resulting stable regions are
composed by convex polygonal slices. The design problem includes the assertion
of intervals with stable polygons and the detection of stable polygons. This
paper completes the solutions to both problems.


title:
An analysis of van der Waals density functional components: Binding and
  corrugation of benzene and C60 on boron nitride and graphene

abstract:
  The adsorption of benzene and C60 on graphene and boron nitride (BN) is
studied using density functional theory with the non-local correlation
functional vdW-DF. By comparing these systems we can systematically investigate
their adsorption nature and differences between the two functional versions
vdW-DF1 and vdW-DF2. The bigger size of the C60 molecule makes it bind stronger
to the surface than benzene, yet the interface between the molecules and the
sheets are similar in nature. The binding separation is more sensitive to the
exchange variant used in vdW-DF than to the correlation version. This result is
related to the exchange and correlation components of the potential energy
curve (PEC). We show that a moderate dipole forms for C60 on graphene, unlike
for the other adsorption systems. We find that the corrugation is very
sensitive to the variant or version of vdW-DF used, in particular the exchange.
Further, we show that this sensitivity arise indirectly through the shift in
binding separation caused by changing vdW-DF variant. Based on our results, we
suggest a concerted theory-experiment approach to assess the exchange and
correlation contributions to physisorption. Using DFT calculations, the
corrugation can be linked to the optimal separation, allowing us to extract the
exchange-correlation part of the adsorption energy. Molecules with same
interfaces to the surface, but different geometries, can in turn cast light on
the role of van der Waals forces.

categories: cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph physics.comp-ph


title: The genus of a division algebra and the unramified Brauer group

abstract:
  Let D be a finite-dimensional central division algebra over a field K. We
define the genus gen(D) of D to be the collection of classes in the Brauer
group of K represented by central division K-algebras D' having the same
maximal subfields as D. In this paper, we describe a general approach to
proving the finiteness of gen(D) and estimating its size that involves the
unramified Brauer group with respect to an appropriate set of discrete
valuations of K.


title:
Anomalous System Size Dependence of Large Deviation Functions for Local
  Empirical Measure

abstract:
  We study the large deviation function for the empirical measure of diffusing
particles at one fixed position. We find that the large deviation function
exhibits anomalous system size dependence in systems that satisfy the following
conditions: (i) there exists no macroscopic flow, and (ii) their space
dimension is one or two. We investigate this anomaly by using a contraction
principle. We also analyze the relation between this anomaly and the so-called
long-time tail behavior on the basis of phenomenological arguments.


title:
Interaction of Epithelial Cells with Surfaces and Surfaces Decorated by
  Molecules

abstract:
  A detailed understanding of the interface between living cells and substrate
materials is of rising importance in many fields of medicine, biology and
biotechnology. Cells at interfaces often form epithelia. The physical barrier
that they form is one of their main functions. It is governed by the properties
of the networks forming the cytoskeleton systems and by cell-to-cell contacts.
Different substrates with varying surface properties modify the migration
velocity of the cells. On the one hand one can change the materials
composition. Organic and inorganic materials induce differing migration
velocities in the same cell system. Within the same class of materials, a
change of the surface stiffness or of the surface energy modifies the migration
velocity, too. For our cell adhesion studies a variety of different,
homogeneous substrates were used (polymers, bio-polymers, metals, oxides). In
addition, an effective lithographic method, Polymer Blend Lithography (PBL), is
reported, to produce patterned Self-Assembled Monolayers (SAM) on solid
substrates featuring two or three different chemical functionalities. This we
achieve without the use of conventional lithography like e-beam or UV
lithography, only by using self-organization. These surfaces are decorated with
a Teflon-like and with an amino-functionalized molecular layer. The resulting
pattern is a copy of a previously created self-organized polymer pattern,
featuring a scalable lateral domain size in the sub-micron range down below 100
nanometers. The resulting monolayer pattern features a high chemical and
biofunctional contrast with feature sizes in the range of cell adhesion
complexes like e.g. focal adhesion points.


title: The effect of shock-wave profile on dynamic brittle failure

abstract:
  The influence of shock-wave-loading profile on the failure processes in a
brittle material has been investigated. Tungsten heavy alloy (WHA) specimens
have been subjected to two shock-wave loading profiles with a similar peak
stress of 15.4 GPa but different pulse durations. Contrary to the strong
dependence of strength on wave profile observed in ductile metals, for WHA,
specimens subjected to different loading profiles exhibited similar spall
strength and damage evolution morphology. Post-mortem examination of recovered
samples revealed that dynamic failure for both loading profiles is dominated by
brittle cleavage fracture, with additional energy dissipation through crack
branching in the more brittle tungsten particles. Overall, in this brittle
material all relevant damage kinetics and the spall strength are shown to be
dominated by the shock peak stress, independent of pulse duration.


title:
Convergence in Measure of Strong logarithmic means of double Fourier
  series

abstract:
  N\"orlund strong logarithmic means of double Fourier series acting from space
$% L\log L(\mathbb{T}^{2}) $ into space $L_{p}(\mathbb{T}% ^{2}), 0<p<1$ are
studied. The maximal Orlicz space such that the N\"o% rlund strong logarithmic
means of double Fourier series for the functions from this space converge in
two-dimensional measure is found.


title:
ICT System Design & Implementation Using Wireless Sensors to Support
  Elderly In-home Assistance

abstract:
  Around the globe the number of older people in relation to the rest is
constantly growing. As a result, medical and care facilities cannot handle the
growing number of patients. Therefore, elderly in-home assistance gets more
attention an importance. Due to issues regarding memory, physical strength and
reduced self-assessment, old people face a lot of challenges in accomplishing
their activities of daily living. This thesis is meant to address these
problems by analysing the required infrastructure of a home-care facility as
well as the arising issues regarding used components, especially wireless
sensors. After the analysis, a prototype of a home-care system is designed and
implemented. Furthermore, the issue of energy consumption of the used wireless
sensor node is addressed by modifying the intelligence of the used sensor.
After that, the design and components of the prototype used for the energy
consumption analysis is explained, together with the programming structure of
the sensor nodes used in this thesis. Thereupon, the results are of the
simulations are discussed and compared with the authors' expectations. Finally
the overall outcomes of the thesis are analysed and summed up, followed by a
short outlook of further possible improvements and developments.


title:
Naturally Occurring Genetic Variation Influences the Severity of
  Drosophila Eye Degeneration Induced by Expression of a Mutant Human Insulin
  Gene

abstract:
  Dominant negative mutations in the insulin gene are the second most common
cause of permanent neonatal diabetes. However, variation in severity and
penetrance of neonatal diabetes, as in other complex genetic diseases, cannot
be accounted for by known disease mutations. In a novel approach to this
problem, we have utilized the genetic tools available in Drosophila to model
the effects of the C96Y mutation, a cysteine to tyrosine mutation in the
insulin protein that can cause permanent neonatal diabetes in humans. This
mutation, which disrupts a disulfide bridge in the proinsulin molecule, has
been shown to lead to partial protein unfolding and aggregation in the
endoplasmic reticulum. It is thought to induce beta cell death in humans and
mice through endoplasmic reticulum stress-mediated apoptosis. We employed the
UAS/GAL4 system to create a stable fly laboratory stock expressing human
insulin with the C96Y mutation (INSC96Y) in the Drosophila eye. We crossed
these transgenic INSC96Y flies to 36 isogenic lines derived from a wild
population. The F1 flies displayed a disrupted eye development phenotype, with
both reduced eye size and irregularity in ommatidia, which varied between lines
and with sex. By backcrossing F1 offspring to their wild parents, we were able
to analyze the effects of naturally occurring genetic variation on the INSC96Y
phenotype in flies both heterozygous and homozygous for wild third chromosomes.
We observed significant differences between lines in terms of eye size, eye
shape, the presence or absence of lesions, and degree of ommatidial structure
present, indicating that an approach that takes into account quantitative
variation in the genetic background can yield valuable insights into the
phenotypic severity and penetrance of a complex genetic disease.


title:
Characterisation of the Berkovich Spectrum of the Banach Algebra of
  Bounded Continuous Functions

abstract:
  For a complete valuation field k and a topological space X, we prove the
universality of the underlying topological space of the Berkovich spectrum of
the Banach k-algebra Cbd(X,k) of bounded continuous k-valued functions on X.
This result yields three applications: a partial solution to an analogue of
Kaplansky conjecture for the automatic continuity problem over a local field,
comparison of two ground field extensions of Cbd(X,k), and non-Archimedean
Gel'fand theory.


title: Restricted sum formula and derivation relation for multiple zeta values

abstract:
  Two classes of relations for multiple zeta values are handled algebraically.
A restricted sum formula is proved by Eie, Liaw and Ong. The derivation
relation is proved by Ihara, Kaneko and Zagier. In this paper we show the
latter implies the former.


title:
The Existence of Superluminal Particles is Consistent with Relativistic
  Dynamics

abstract:
  Within an axiomatic framework, we prove that the existence of faster than
light particles is consistent with (does not contradict) the dynamics of
Einstein's special relativity.


title: Approximate counting of regular hypergraphs

abstract:
  In this paper we asymptotically count $d$-regular $k$-uniform hypergraphs on
$n$ vertices, provided $k$ is fixed and $d=d(n)=o(n^{1/2})$. In doing so, we
extend to hypergraphs a switching technique of McKay and Wormald.


title:
The dynamics of sex ratio evolution: the nature and role of the male
  subpopulation equilibrium

abstract:
  The classical approaches to the modeling of sex ratio evolution can be
divided into two classes. The first class contains the static strategic models
related to the Dusing Fisher Shaw Mohler fitness measure, based on the
reproductive value of the offspring of the focal female. The second class
contains the population genetic models focused on the dynamics of the allele
frequencies. The approaches are not fully compatible because the strategic
models disregard the role of the male individuals as the passive carriers of
the strategy genes. In the previous two papers in this cycle, a new model
combining the strategic analysis with more rigorous genetics was presented. The
new model shows that sex ratio self-regulation is a multistage complex process
which can be regarded as an example of multilevel selection. One of the
elements of this process is the dynamic equilibrium between male and female
gene carriers associated with convergence of the dynamics to the manifold
termed the male subpopulation equilibrium (MSE). This paper attempts to explain
this phenomenon and analyze its properties. We show that the MSE phenomenon
affects every stage of sex ratio self-regulation (Lemmas 1-4). The MSE plays a
crucial role in synchronizing two levels of selection in the double-level
selection process. We show that the MSE condition can be generalized as an
interesting synergistic property allowing for the estimation of the primary sex
ratio of the entire population according to the state of some arbitrarily
chosen subpopulation (Lemma 5). We also show that the classical Dusing Fisher
Shaw Mohler fitness measure is a biased approximation of the new approach, but
that it produces compatible strategic predictions (Lemma 6).


title:
Organizational properties of second-order visual filters sensitive to
  the orientation modulations

abstract:
  Here we show psychophysical study of second-order visual mechanisms sensitive
to the orientation modulations. Selectivity to orientation, phase and spatial
frequency of modulation is measured. Bandwidths for phase (0,5{\pi}) and
orientation (33,75 deg) are defined, but there is no evidence for spatial
frequency selectivity.


title: Multiple points of the Brownian sheet in critical dimensions

abstract:
  It is well known that an $N$-parameter $d$-dimensional Brownian sheet has no
$k$-multiple points when $(k-1)d>2kN$, and does have such points when
$(k-1)d<2kN$. We complete the study of the existence of $k$-multiple points by
showing that in the critical cases where $(k-1)d=2kN$, there are a.s. no
$k$-multiple points.


title:
The spectroscopic evolution of the $\gamma$-ray emitting classical nova
  Nova Mon 2012. I. Implications for the ONe subclass of classical novae

abstract:
  Nova Mon 2012 was the first classical nova to be detected as a high energy
$\gamma$-ray transient, by Fermi-LAT, before its optical discovery. We study a
time sequence of high resolution optical echelle spectra (Nordic Optical
Telescope) and contemporaneous NOT, STIS UV, and CHIRON echelle spectra (Nov
20/21/22). We use [O III] and H$\beta$ line fluxs to constrain the properties
of the ejecta. We derive the structure from the optical and UV line profiles
and compare our measured line fluxes for with predictions using Cloudy with
abundances from other ONe novae. Mon 2012 is confirmed as an ONe nova. We find
E(B-V)=0.85$\pm$0.05 and hydrogen column density $\approx 5\times 10^{21}$
cm$^{-2}$. The corrected continuum luminosity is nearly the same in the entire
observed energy range as V1974 Cyg, V382 Mon, and Nova LMC 2000 at the same
epoch after outburst. The distance, about 3.6 kpc, is quite similar to V1974
Cyg. The line profiles can be modeled using an axisymmetric bipolar geometry
for the ejecta with various inclinations of the axis to the line of sight, 60
\le i \le 80 degrees, an opening angle of \approx$70 deg, inner radius $\Delta
R/R(t)\approx 0.4$ for permitted lines and less filled for forbidden lines. The
filling factor $f\approx 0.1-0.3$ implying M(ejecta) $\leq 6\times
10^{-5}$M$_\odot$. The ONe novae appear to comprise a single physical class
with bipolar high mass ejecta, similarly enhanced abundances, and a common
spectroscopic evolution within a narrow range of luminosities. The detected
$\gamma$-ray emission may be a generic phenomenon, common to all ONe novae,
possibly to all classical novae, and connected with acceleration and emission
processes within the ejecta (abstract severely truncated).


title: mSCTP Based Decentralized Mobility Framework

abstract:
  To conceive the full potential of wireless IP services, Mobile Nodes (MNs)
must be able to roam seamlessly across different networks. Mobile Stream
Control Transmission Protocol (mSCTP) is a transport layer solution, which
unlike Mobile IP (MIP), provides seamless mobility with minimum delay and
negligible packet loss. However, mSCTP fails to locate the current IP address
of the mobile node when Correspondent Node (CN) wants to initiate a session. In
this paper, we propose DHT Chord to provide the required location management.
Chord is a P2P algorithm, which can efficiently provide the IP address of the
called MN by using its key-value mapping. The proposed decentralized mobility
framework collectively exploits the multihoming feature of mSCTP, and efficient
key-value mapping of chord to provide seamless mobility. Suitability of the
framework is analyzed by preliminary analysis of chord lookup efficiency, and
mSCTP handover procedure using overlay weaver and NS-2. Performance analysis
shows that mSCTP multihoming feature and Chord efficient key-value mapping can
provide a non-delayed, reliable, and an efficient IP handover solution.


title: The Lambda-adic Eichler-Shimura isomorphism and p-adic etale cohomology

abstract:
  We give a new proof of Ohta's Lambda-adic Eichler-Shimura isomorphism using
p-adic Hodge theory and the results of Bloch-Kato and Hyodo on p-adic etale
cohomology.


title:
IRS for Computer Character Sequences Filtration: a new software tool and
  algorithm to support the IRS at tokenization process

abstract:
  Tokenization is the task of chopping it up into pieces, called tokens,
perhaps at the same time throwing away certain characters, such as punctuation.
A token is an instance of token a sequence of characters in some particular
document that are grouped together as a useful semantic unit for processing.
New software tool and algorithm to support the IRS at tokenization process are
presented. Our proposed tool will filter out the three computer character
Sequences: IP-Addresses, Web URLs, Date, and Email Addresses. Our tool will use
the pattern matching algorithms and filtration methods. After this process, the
IRS can start a new tokenization process on the new retrieved text which will
be free of these sequences.


title:
Reflection off Surfaces of Revolution: a Teachers' primer to the
  Introduction of the Cross-section Concept

abstract:
  The differential cross-section for the reflection of light beams off rigid
bodies obtained by the rotation of a generic derivable convex function is
calculated. The calculation is developed using elementary notions of calculus
and is therefore suitable for calculus oriented introductory undergraduate
university physics courses. Three particular cases are presented as examples of
the general procedure and of the physical properties and considerations about
cross-sections they allow to discuss in class.


title:
The Obata sphere theorems on a quaternionic contact manifold of
  dimension bigger than seven

abstract:
  We prove a quaternionic contact versions of the Obata's sphere theorems. We
show that if the first positive eigenvalue of the sub-Laplacian on a compact qc
manifold of dimension bigger than seven takes the smallest possible value then,
up to a homothety of the qc structure, the manifold is qc equivalent to the
standard 3-Sasakian sphere. We also give a version of the theorem on
non-compact qc manifold which is complete with respect to the associated
Riemannian metric using the existence of a function with traceless horizontal
Hessian. A qc version of the Liouville theorem is shown for qc-conformal maps
between open connected sets of the 3-Sasakian sphere.


title:
Crystal Structure on the Category of Modules over Colored Planar Rook
  Algebra

abstract:
  Colored planar rook algebra is a semigroup algebra in which the basis element
has a diagrammatic description. The category of finite dimensional modules over
this algebra is completely reducible and suitable functors are defined on this
category so that it admits a crystal structure in the sense of Kashiwara. We
show that the category and functors categorify the crystal bases for the
polynomial representations of quantized enveloping algebra $U_q(gl_{n+1})$.


title: A quick construction of mutually orthogonal sudoku squares

abstract:
  For any odd prime power q we provide a quick construction of a complete
family of q(q-1) mutually orthogonal sudoku squares of order q^2.


title: The space of minimal structures

abstract:
  For a signature L with at least one constant symbol, an L-structure is called
minimal if it has no proper substructures. Let S_L be the set of isomorphism
types of minimal L-structures. The elements of S_L can be identified with
ultrafilters of the Boolean algebra of quantifier-free L-sentences, and
therefore one can define a Stone topology on S_L. This topology on S_L
generalizes the topology of the space of n-marked groups. We introduce a
natural ultrametric on S_L, and show that the Stone topology on S_L coincide
with the topology of the ultrametric space S_L iff the ultrametric space S_L is
compact iff L is locally finite (that is, L contains finitely many n-ary
symbols for any n). As one of the applications of compactness of the Stone
topology on S_L, we prove compactness of certain classes of metric spaces in
the Gromov-Hausdorff topology. This slightly refines the known result based on
Gromov's ideas that any uniformly totally bounded class of compact metric
spases is precompact.


title:
Probing spatial correlations in a system of polarizable particles via
  measuring its optical extinction spectrum

abstract:
  It is shown that quantitative information on spatial correlations in a system
of polarizable particles can be extracted directly from its experimentally
measurable optical spectra. For a collection of metallic nanoparticles (NPs),
it is demonstrated that the degree of short-range correlation in NP's positions
can be evaluated by an appropriate numerical analysis of the extinction
spectrum in the surface plasmon resonance region, given the polarizability of
an individual NP. The spectrum analysis consists in the evaluation of a single
number, which is the derivative of the ensemble response function in the
vanishing polarizability limit, to be compared to pre-calculated values for a
model NP system with given density and correlation parameters.


title: Structure formation in inhomogeneous Early Dark Energy models

abstract:
  We study the impact of Early Dark Energy fluctuations in the linear and
non-linear regimes of structure formation. In these models the energy density
of dark energy is non-negligible at high redshifts and the fluctuations in the
dark energy component can have the same order of magnitude of dark matter
fluctuations. Since two basic approximations usually taken in the standard
scenario of quintessence models, that both dark energy density during the
matter dominated period and dark energy fluctuations on small scales are
negligible, are not valid in such models, we first study approximate analytical
solutions for dark matter and dark energy perturbations in the linear regime.
This study is helpful to find consistent initial conditions for the system of
equations and to analytically understand the effects of Early Dark Energy and
its fluctuations, which are also verified numerically. In the linear regime we
compute the matter growth and variation of the gravitational potential
associated with the Integrated Sachs-Wolf effect, showing that these
observables present important modifications due to Early Dark Energy
fluctuations, though making them more similar to $\Lambda$CDM model. We also
make use of the Spherical Collapse model to study the influence of Early Dark
Energy fluctuations in the nonlinear regime of structure formation, especially
on $\delta_c$ parameter, and their contribution to the halo mass, which we show
can be of the order of 10%. We finally compute how the number density of halos
is modified in comparison to $\Lambda$CDM model and address the problem of how
to correct the mass function in order to take into account the contribution of
clustered dark energy. We conclude that the inhomogeneous Early Dark Energy
models are more similar to $\Lambda$CDM model than its homogeneous
counterparts.


title:
Distributed Power Allocation for Coordinated Multipoint Transmissions in
  Distributed Antenna Systems

abstract:
  This paper investigates the distributed power allocation problem for
coordinated multipoint (CoMP) transmissions in distributed antenna systems
(DAS). Traditional duality based optimization techniques cannot be directly
applied to this problem, because the non-strict concavity of the CoMP
transmission's achievable rate with respect to the transmission power induces
that the local power allocation subproblems have non-unique optimum solutions.
We propose a distributed power allocation algorithm to resolve this non-strict
concavity difficulty. This algorithm only requires local information exchange
among neighboring base stations serving the same user, and is thus scalable as
the network size grows. The step-size parameters of this algorithm are
determined by only local user access relationship (i.e., the number of users
served by each antenna), but do not rely on channel coefficients. Therefore,
the convergence speed of this algorithm is quite robust to different channel
fading coefficients. We rigorously prove that this algorithm converges to an
optimum solution of the power allocation problem. Simulation results are
presented to demonstrate the effectiveness of the proposed power allocation
algorithm.


title:
Optimal approximation and Kolmogorov widths estimates for certain
  singular classes related to equations of mathematical physics

abstract:
  Solutions of numerous equations of mathematical physics such as elliptic,
weakly singular, singular, hypersingular integral equations belong to
functional classes $\bar Q^u_{r \gamma}(\Omega,1)$ and $Q^u_{r
\gamma}(\Omega,1)$ defined over $l-$dimensional hypercube $\Omega=[-1,1]^l,
l=1,2,....$ The derivatives of classes' representatives grow indefinitely when
the argument approaches the boundary $\delta \Omega$. In this paper we estimate
the Kolmogorov and Babenko widths of two functional classes $\bar Q^u_{r
\gamma}(\Omega,1)$ and $Q^u_{r \gamma}(\Omega,1).$ We construct local splines
belonging to those classes, such that the errors of approximation are of the
same order as that of the estimated widths. Thus we construct optimal with
respect to order methods for approximating the functional classes $\bar Q^u_{r
\gamma}(\Omega,1)$ and $Q^u_{r \gamma}(\Omega,1).$ One can use these results
for constructing methods optimal with respect to order for approximating a unit
ball of the Sobolev spaces with logarithmic and polynomial weights.


title: On the convergence of the IRLS algorithm in Non-Local Patch Regression

abstract:
  Recently, it was demonstrated in [CS2012,CS2013] that the robustness of the
classical Non-Local Means (NLM) algorithm [BCM2005] can be improved by
incorporating $\ell^p (0 < p \leq 2)$ regression into the NLM framework. This
general optimization framework, called Non-Local Patch Regression (NLPR),
contains NLM as a special case. Denoising results on synthetic and natural
images show that NLPR consistently performs better than NLM beyond a moderate
noise level, and significantly so when $p$ is close to zero. An iteratively
reweighted least-squares (IRLS) algorithm was proposed for solving the
regression problem in NLPR, where the NLM output was used to initialize the
iterations. Based on exhaustive numerical experiments, we observe that the IRLS
algorithm is globally convergent (for arbitrary initialization) in the convex
regime $1 \leq p \leq 2$, and locally convergent (fails very rarely using NLM
initialization) in the non-convex regime $0 < p < 1$. In this letter, we adapt
the "majorize-minimize" framework introduced in [Voss1980] to explain these
observations.
  [CS2012] Chaudhury et al. (2012), "Non-local Euclidean medians," IEEE Signal
Processing Letters.
  [CS2013] Chaudhury et al. (2013), "Non-local patch regression: Robust image
denoising in patch space," IEEE ICASSP.
  [BCM2005] Buades et al. (2005), "A review of image denoising algorithms, with
a new one," Multiscale Modeling and Simulation.
  [Voss1980] Voss et al. (1980), "Linear convergence of generalized Weiszfeld's
method," Computing.


title:
Transparent Data Encryption -- Solution for Security of Database
  Contents

abstract:
  The present study deals with Transparent Data Encryption which is a
technology used to solve the problems of security of data. Transparent Data
Encryption means encrypting databases on hard disk and on any backup media.
Present day global business environment presents numerous security threats and
compliance challenges. To protect against data thefts and frauds we require
security solutions that are transparent by design.


title: A model for the shapes of advected triangles

abstract:
  Three particles floating on a fluid surface define a triangle. The aim of
this paper is to characterise the shape of the triangle, defined by two of its
angles, as the three vertices are subject to a complex or turbulent motion. We
consider a simple class of models for this process, involving a combination of
a random strain of the fluid and Brownian motion of the particles. Following D.
G. Kendall, we map the space of triangles to a sphere, whose equator
corresponds to degenerate triangles with colinear vertices, with equilaterals
at the poles. We map our model to a diffusion process on the surface of the
sphere and find an exact solution for the shape distribution. Whereas the
action of the random strain tends to make the shape of the triangles infinitely
elongated, in the presence of a Brownian diffusion of the vertices, the model
has an equilibrium distribution of shapes. We determine here exactly this shape
distribution in the simple case where the increments of the strain are
diffusive.


title:
Orbital clustering of Martian Trojans: An asteroid family in the inner
  solar system?

abstract:
  We report on the discovery of new Martian Trojans within the Minor Planet
Center list of asteroids. Their orbital evolution over 10^8 yr shows
characteristic signatures of dynamical longevity (Scholl et al, 2005) while
their average orbits resemble that of the largest known Martian Trojan, 5261
Eureka. The group forms a cluster within the region where the most stable
Trojans should reside. Based on a combinatorial analysis and a comparison with
the Jovian Trojan population, we argue that both this feature and the apparent
paucity of km-sized Martian Trojans (Trilling et al, 2006) as compared to
expectations from earlier work (Tabachnik and Evans, 1999) is not due to
observational bias but instead a natural end result of the collisional
comminution (Jutzi et al, 2010) or, alternatively, the rotational fission
(Pravec et al, 2010) of a progenitor L5 Trojan of Mars. Under the collisional
scenario in particular, the new Martian Trojans are dynamically young, in
agreement with our age estimate of this "cluster" of < 2 Gyr based on the
earlier work of Scholl et al. This work highlights the Trojan regions of the
Terrestrial planets as natural laboratories to study processes important for
small body evolution in the solar system and provides the first direct evidence
for an orbital cluster of asteroids close to the Earth.


title:
Nuclear-spin-dependent coherent population trapping of single nitrogen
  vacancy centers in diamond

abstract:
  Coherent population trapping (CPT) provides a highly sensitive means for
probing the energy level structure of an atomic system. For a nitrogen vacancy
center in diamond, the CPT offers an alternative to the standard
optically-detected magnetic resonance method for measuring the hyperfine
structure of the electronic ground states. We show that the nuclear spin
dependent CPT measures directly the hyperfine splitting of these states due to
the 14N nuclear spin. The CPT spectral response obtained in the presence of a
strong microwave field, resonant or nearly resonant with a ground state spin
transition, maps out the dynamic Stark splitting induced by the coherent spin
excitation.


title:
Incremental Algorithms for Network Management and Analysis based on
  Closeness Centrality

abstract:
  Analyzing networks requires complex algorithms to extract meaningful
information. Centrality metrics have shown to be correlated with the importance
and loads of the nodes in network traffic. Here, we are interested in the
problem of centrality-based network management. The problem has many
applications such as verifying the robustness of the networks and controlling
or improving the entity dissemination. It can be defined as finding a small set
of topological network modifications which yield a desired closeness centrality
configuration. As a fundamental building block to tackle that problem, we
propose incremental algorithms which efficiently update the closeness
centrality values upon changes in network topology, i.e., edge insertions and
deletions. Our algorithms are proven to be efficient on many real-life
networks, especially on small-world networks, which have a small diameter and a
spike-shaped shortest distance distribution. In addition to closeness
centrality, they can also be a great arsenal for the shortest-path-based
management and analysis of the networks. We experimentally validate the
efficiency of our algorithms on large networks and show that they update the
closeness centrality values of the temporal DBLP-coauthorship network of 1.2
million users 460 times faster than it would take to compute them from scratch.
To the best of our knowledge, this is the first work which can yield practical
large-scale network management based on closeness centrality values.


title: A refinement of the Artin conductor and the base change conductor

abstract:
  For a local field K with positive residue characteristic p, we introduce, in
the first part of this paper, a refinement bAr_K of the classical Artin
distribution Ar_K. It takes values in cyclotomic extensions of Q which are
unramified at p, and it bisects Ar_K in the sense that Ar_K is equal to the sum
of bAr_K and its conjugate distribution. Compared with 1/2 Ar_K, the bisection
bAr_K provides a higher resolution on the level of tame ramification. In the
second part of this article, we prove that the base change conductor c(T) of an
analytic K-torus T is equal to the value of bAr_{K} on the Q_p-rational Galois
representation X^*(T)_{Q_p} that is given by the character module X^*(T) of T.
We hereby generalize a formula for the base change conductor of an algebraic
K-torus, and we obtain a formula for the base change conductor of a semiabelian
K-variety with potentially ordinary reduction.


title:
Reconstructing a B-cell clonal lineage. I. Statistical inference of
  unobserved ancestors

abstract:
  One of the key phenomena in the adaptive immune response to infection and
immunization is affinity maturation, during which antibody genes are mutated
and selected, typically resulting in a substantial increase in binding affinity
to the eliciting antigen. Advances in technology on several fronts have made it
possible to clone large numbers of heavy-chain light-chain pairs from
individual B cells and thereby identify whole sets of clonally related
antibodies. These collections could provide the information necessary to
reconstruct their own history--the sequence of changes introduced into the
lineage during the development of the clone--and to study affinity maturation
in detail. But the success of such a program depends entirely on accurately
inferring the founding ancestor and the other unobserved intermediates.
  I have developed an Empirical Bayes method that allows one to compute the
posterior distribution over ancestors, thereby giving a thorough accounting of
the uncertainty inherent in the reconstruction. I demonstrate the application
of this method on heavy-chain and light-chain clones, assess the reliability of
the inference, and discuss the sources of uncertainty.


title: Methods for robust PID control

abstract:
  A comprehensive theory for robust PID control in continuous-time and
discrete-time domain is reviewed in this paper. For a given finite set of
linear time invariant plants, algorithms for fast computation of robustly
stabilizing regions in the ($k_P, k_I, k_D$)-parameter space are introduced.
The main impetus is given by the fact that non-convex stable regions in the PID
parameter space can be built up by convex polygonal slices. A simple and an
elegant theory evolved in the last few years up to a quite mature level.


title:
Non-identifiability, equivalence classes, and attribute-specific
  classification in Q-matrix based Cognitive Diagnosis Models

abstract:
  There has been growing interest in recent years in Q-matrix based cognitive
diagnosis models. Parameter estimation and respondent classification under
these models may suffer due to identifiability issues. Non-identifiability can
be described by a partition separating attribute profiles into groups of those
with identical likelihoods. Marginal identifiability concerns the
identifiability of individual attributes. Maximum likelihood estimation of the
proportion of respondents within each equivalence class is consistent, making
possible a new measure of assessment quality reporting the proportion of
respondents for whom each individual attribute is marginally identifiable.
Arising from this is a new posterior-based classification method adjusting for
non-identifiability.


title:
Object-oriented programming: some history, and challenges for the next
  fifty years

abstract:
  Object-oriented programming is inextricably linked to the pioneering work of
Ole-Johan Dahl and Kristen Nygaard on the design of the Simula language, which
started at the Norwegian Computing Centre in the Spring of 1961. However,
object-orientation, as we think of it today---fifty years later---is the result
of a complex interplay of ideas, constraints and people. Dahl and Nygaard would
certainly recognise it as their progeny, but might also be amazed at how much
it has grown up.
  This article is based on a lecture given on 22nd August 2011, on the occasion
of the scientific opening of the Ole-Johan Dahl hus at the University of Oslo.
It looks at the foundational ideas from Simula that stand behind
object-orientation, how those ideas have evolved to become the dominant
programming paradigm, and what they have to offer as we approach the challenges
of the next fifty years of informatics.


title:
Electroweak precision constraints on the electroweak-scale right-handed
  neutrino model

abstract:
  A model of electroweak-scale right-handed neutrino (\ewnur) model was
constructed five years ago in which the right-handed neutrinos are members of
mirror fermion weak doublets and where the Majorana masses of the right-handed
neutrinos are found to be {\em naturally} of the order of the electroweak
scale. These features facilitate their searches at the LHC through signals such
as like-sign dilepton events. This model contains, in addition to the mirror
quarks and leptons, extra scalars transforming as weak triplets. In this paper,
we study the constraints imposed on these additional particles by the
electroweak precision parameters S, T, and U. These constraints are crucial in
determining the viability of the electroweak $\nu_R$ model and the allowed
parameter space needed for a detailed phenomenology of the model.


title: Simulating graphene impurities using the worm algorithm

abstract:
  The two-dimensional Ising model is studied by performing computer simulations
with one of the Monte Carlo algorithms - the worm algorithm. The critical
temperature T_C of the phase transition is calculated by the usage of the
critical exponents and the results are compared to the analytical result,
giving a very high accuracy.
  We also show that the magnetic ordering of impurities distributed on a
graphene sheet is possible, by simulating the properly constructed model using
the worm algorithm. The value of T_C is estimated. Furthermore, the dependence
of T_C on the interaction constants is explored. We outline how one can proceed
in investigating this relation in the future.


title:
Black Hole Formation with an Interacting Vacuum Energy Density:
  Curvature Effects

abstract:
  The gravitational collapse of a spherically symmetric massive core of a star
in which the fluid component is interacting with a growing vacuum energy
density filling a FLRW type geometry with an arbitrary curvature parameter is
investigated. The complete set of exact solutions for all values of the free
parameters are obtained and the influence of the curvature term on the
collapsing time, black hole mass and other physical quantities are also
discussed in detail. We show that for the same initial conditions the total
black hole mass depends only on the effective matter density parameter
(including the vacuum component). It is also shown that the analytical
condition to form a black hole i.e. the apparent horizon is not altered by the
contribution of the curvature terms, however, the remaining physical quantities
are quantitatively modified.


title:
Numerical solution of the integral form of the resummed
  Balitsky-Kovchegov equation

abstract:
  The Balitsky--Kovchegov (BK) evolution equation in its resummed integral form
as obtained in JHEP 1202 (2012) 117 and arXiv:1206.1223 is considered. We solve
it numerically and compare to the unresummed BK equation formulated as an
integral equation and to the solution obtained by the BKsolver package.
Sensitivity of the solution to an introduced resolution parameter and initial
conditions is investigated.


title:
A correction note on "Three-step iterative methods for nonlinear
  equations" and generalization of method

abstract:
  In the paper [Muhammad Aslam Noor, Khalida Inayat Noor, Three-step iterative
methods for nonlinear equations, Applied Mathematics and Computation, 183
(2006), pp. 322-327 ], Authors presented an algorithm (\textbf{Algorithm 2.3})
and stated a theorem (\textbf{Theorem 2.3}) to prove the cubic order of
convergence but the given proof does not show cubic order of convergence.
Actually, the mathematical derivation steps to develop the \textbf{Algorithm
2.3} are wrong. In this note, we present the correct mathematical developments
and finally provide computational order of convergence in the favor of our
claim and provide the generalization of the method.


title: A Dynamics for Discrete Quantum Gravity

abstract:
  This paper is based on the causal set approach to discrete quantum gravity.
We first describe a classical sequential growth process (CSGP) in which the
universe grows one element at a time in discrete steps. At each step the
process has the form of a causal set (causet) and the "completed" universe is
given by a path through a discretely growing chain of causets. We then quantize
the CSGP by forming a Hilbert space $H$ on the set of paths. The quantum
dynamics is governed by a sequence of positive operators $\rho_n$ on $H$ that
satisfy normalization and consistency conditions. The pair $(H,\brac{\rho_n})$
is called a quantum sequential growth process (QSGP). We next discuss a
concrete realization of a QSGP in terms of a natural quantum action. This gives
an amplitude process related to the sum over histories" approach to quantum
mechanics. Finally, we briefly discuss a discrete form of Einstein's field
equation and speculate how this may be employed to compare the present
framework with classical general relativity theory.


title:
Determination of the Stopping Power and Failure-time of Spacecraft
  Components due to Proton Interaction Using GOES 11 Acquisition Data

abstract:
  One of the several ways to describe the net effect of charged-particles'
interaction is the rate of energy loss along the particles' path. In this
study, the mass stopping power (Sp) of selected spacecraft composite materials,
through which the particle traverses, its range (R) and the distance (d)
travelled (by the particles) through the materials have been calculated and
analyzed. The dose (in Gy) as a function of particle flux and deposited energy
was also determined. Predictions of their possible effects on space system
operations and life-span were made, especially as values exceeded certain
threshold (limit). Using GOES 11 acquired data for 3 months, estimations and/or
calculations were made to determine the risk and safe period of a satellite in
the geosynchronous orbit. Under certain space radiation environmental
conditions (without mitigation of any sort), a spacecraft whose body is 20 mm
thick and with Al alloy casing, was theoretically estimated to have a safe
period of about 3 years and risk period of about 29 years (due to total
ionizing dose) within which it would experience a catastrophic failure.


title: Neutral B Mixing in Staggered Chiral Perturbation Theory

abstract:
  I calculate, at one loop in staggered chiral perturbation theory, the matrix
elements of the complete set of five local operators that may contribute to B
mixing both in the Standard Model and in beyond-the-Standard-Model theories.
Lattice computations of these matrix elements by the Fermilab Lattice/MILC
collaborations (and earlier by the HPQCD collaboration) convert a light
staggered quark into a naive quark, and construct the relevant 4-quark
operators as local products of two local bilinears, each involving the naive
light quark and the heavy quark. This particular representation of the
operators turns out to be important in the chiral calculation, and it results
in the presence of "wrong-spin" operators, whose contributions however vanish
in the continuum limit. If the matrix elements of all five operators are
computed on the lattice, then no additional low energy constants are required
to describe wrong-spin chiral effects.


title: Adaptive quantum state tomography improves accuracy quadratically

abstract:
  We introduce a simple protocol for adaptive quantum state tomography, which
reduces the worst-case infidelity between the estimate and the true state from
$O(N^{-1/2})$ to $O(N^{-1})$. It uses a single adaptation step and just one
extra measurement setting. In a linear optical qubit experiment, we demonstrate
a full order of magnitude reduction in infidelity (from $0.1%$ to $0.01%$) for
a modest number of samples ($N=3\times10^4$).


title: Removable singularities for nonlinear subequations

abstract:
  We study the problem of removable singularities for degenerate elliptic
equations. Let F be a fully nonlinear second-order partial differential
subequation of degenerate elliptic type on a manifold X. We study the question:
Which closed subsets E in X have the property that every F-subharmonic function
(subsolution) on X-E, which is locally bounded across E, extends to an
F-subharmonic function on X. We also study the related question for F-harmonic
functions (solutions) which are continuous across E. Main results assert that
if there exists a convex cone subequation M such that F+M is contained in F,
then any closed set E which is M-polar has these properties. To be M-polar
means that E = {f = -\infty} where f is M-subharmonic on X and smooth outside
of E. Many examples and generalizations are given. These include removable
singularity results for all branches of the complex and quaternionic
Monge-Ampere equations, and a general removable singularity result for the
harmonics of geometrically defined subequations.
  For pure second-order subequations in R^n with monotonicity cone M, the Riesz
characteristic p = p(M) is introduced, and extension theorems are proved for
any closed singular set E of locally finite Hausdorff (p-2)-measure (or, more
generally, of (p-2)-capacity zero). This applies for example to branches of the
equation s_k(D^2 u) = 0 (kth elementary function) where p(M) = n/k.
  For convex cone subequations themselves, several removable singularity
theorems are proved, independent of the results above.


title:
Analysis of surface plasmon excitation at terahertz frequencies with
  highly-doped graphene sheets via attenuated total reflection

abstract:
  Excitation of surface plasmons supported by doped graphene sheets at
terahertz frequencies is investigated numerically. To alleviate the momentum
mismatch between the highly-confined plasmon modes and the incident radiation,
it is proposed to increase the surface conductivity of graphene through high
doping levels or with few-layer graphene. For currently achievable doping
levels, our analysis shows that surface plasmons on monolayer graphene may be
excited at operating frequencies up to about 10 THz (~ 41.3 meV) with a
high-index coupling prism, and higher frequencies/energies are possible for
few-layer graphene. These highly-confined surface modes are promising for
sensing and waveguiding applications in the terahertz regime.


title: On Bayesian Nonparametric Continuous Time Series Models

abstract:
  This paper is a note on the use of Bayesian nonparametric mixture models for
continuous time series. We identify a key requirement for such models, and then
establish that there is a single type of model which meets this requirement. As
it turns out, the model is well known in multiple change-point problems.


title: Optomechanical Transductions in Single and Coupled Wheel Resonators

abstract:
  In this report, the optomechanical transductions in both single and two
side-coupled wheel resonators are investigated. In the single resonator, the
optomechanical transduction sensitivity is determined by the optical and
mechanical quality factors of the resonator. In the coupled resonators, the
optomechanical transduction is related to the energy distribution in the two
resonators, which is strongly dependent on the input detuning. Compared to a
single resonator, the coupled resonators can still provide very sensitive
optomechanical transduction even if the optical and mechanical quality factors
of one resonator are degraded.


title:
Numerical investigations of the Schwinger model and selected quantum
  spin models

abstract:
  Numerical investigations of the XY model, the Heisenberg model and the J-J'
Heisenberg model are conducted, using the exact diagonalisation, the numerical
renormalisation and the density matrix renormalisation group approach. The
low-lying energy levels are obtained and finite size scaling is performed to
estimate the bulk limit values. The results are found to be consistent with the
exact values. The DMRG results are found to be most promising.
  The Schwinger model is also studied using the exact diagonalisation and the
strong coupling expansion. The massless, the massive model and the model with a
background electric field are explored. Ground state energy, scalar and vector
particle masses and order parameters are examined. The achieved values are
observed to be consistent with previous results and theoretical predictions.
Path to the future studies is outlined.


title:
Influence of the dissipation mechanism on collisionless magnetic
  reconnection in symmetric and asymmetric current layers

abstract:
  Numerical studies implementing different versions of the collisionless Ohm's
law have shown a reconnection rate insensitive to the nature of the non-ideal
mechanism occuring at the X line, as soon as the Hall effect is operating.
Consequently, the dissipation mechanism occurring in the vicinity of the
reconnection site in collisionless systems is usually thought not to have a
dynamical role beyond the violation of the frozen-in condition. The
interpretation of recent studies have however led to the opposite conclusion
that the electron scale dissipative processes play an important dynamical role
in preventing an elongation of the electron layer from throttling the
reconnection rate. This work re-visits this topic with a new approach. Instead
of focusing on the extensively studied symmetric configuration, we aim to
investigate whether the macroscopic properties of collisionless reconnection
are affected by the dissipation physics in asymmetric configurations, for which
the effect of the Hall physics is substantially modified. because it includes
all the physical scales a priori important for collisionless reconnection (Hall
and ion kinetic physics) and also because it allows one to change the nature of
the non-ideal electron scale physics, we use a 2D hybrid model. The effects of
numerical, resistive and hyper-resistive dissipation are studied. In a first
part we perform simulations of symmetric reconnection with different non-ideal
electron physics. we show that the model captures the already known properties
of collisionless reconnection. In a second part, we focus on an asymmetric
configuration where the magnetic field strength and the density are both
asymmetric. Our results show that contrary to symmetric reconnection, the
asymmetric model evolution strongly depends on the nature of the mechanism
which breaks the field line connectivity


title: Euler elasticae in the plane and the Whitney--Graustein theorem

abstract:
  In this paper, we apply classical energy principles to Euler elasticae, i.e.,
closed C^2 curves in the plane supplied with the Euler functional U (the
integral of the square of the curvature along the curve). We study the critical
points of U, find the shapes of the curves corresponding to these critical
points and show which of the critical points are stable equilibrium points of
the energy given by U, and which are unstable. It turns out that the set of
stable equilibrium points coincides with the set of minima of U, so that the
corresponding shapes of the curves obtained may be regarded as normal forms of
Euler elasticae. In this way, we find the solution of the Euler problem (set in
1744) for plane closed elasticae. As a by-product, we obtain a "mechanical"
proof of the Whitney--Graustein theorem on the classification of regular curves
in the plane up to regular homotopy (in the particular case of C^2 curves).
Besides mathematical theorems, our work includes a computer graphics software
which shows, as an animation, how any plane curve evolves to its normal form
under a discretized version of gradient descent along the (discretized) Euler
functional.


title:
Reconciliation between the Tsallis maximum entropy principle and large
  deviation theory

abstract:
  The necessary conditions (NC) that reconcile canonical probability
distributions obtained from the q-maximum entropy principle, subjected to both
i) the additive duality of generalized statistics and ii) normal averages
expectations with the large deviation theory, are derived. The validity of
these necessary conditions is established on the basis of a result concerning
large deviation properties of conditional measures. The NC for normal averages
expectations are advantageous because they avoid the excessively prohibitive
conditions obtained by previous studies when employing other forms for defining
q-expectations. Numerical examples for an exemplary case are provided.


title:
Detecting and resolving spatial ambiguity in text using named entity
  extraction and self learning fuzzy logic techniques

abstract:
  Information extraction identifies useful and relevant text in a document and
converts unstructured text into a form that can be loaded into a database
table. Named entity extraction is a main task in the process of information
extraction and is a classification problem in which words are assigned to one
or more semantic classes or to a default non-entity class. A word which can
belong to one or more classes and which has a level of uncertainty in it can be
best handled by a self learning Fuzzy Logic Technique. This paper proposes a
method for detecting the presence of spatial uncertainty in the text and
dealing with spatial ambiguity using named entity extraction techniques coupled
with self learning fuzzy logic techniques


title: Statistical sentiment analysis performance in Opinum

abstract:
  The classification of opinion texts in positive and negative is becoming a
subject of great interest in sentiment analysis. The existence of many labeled
opinions motivates the use of statistical and machine-learning methods.
First-order statistics have proven to be very limited in this field. The Opinum
approach is based on the order of the words without using any syntactic and
semantic information. It consists of building one probabilistic model for the
positive and another one for the negative opinions. Then the test opinions are
compared to both models and a decision and confidence measure are calculated.
In order to reduce the complexity of the training corpus we first lemmatize the
texts and we replace most named-entities with wildcards. Opinum presents an
accuracy above 81% for Spanish opinions in the financial products domain. In
this work we discuss which are the most important factors that have impact on
the classification performance.


title:
A Study on Application of Spatial Data Mining Techniques for Rural
  Progress

abstract:
  This paper focuses on the application of Spatial Data mining Techniques to
efficiently manage the challenges faced by peripheral rural areas in analyzing
and predicting market scenario and better manage their economy. Spatial data
mining is the task of unfolding the implicit knowledge hidden in the spatial
databases. The spatial Databases contain both spatial and non-spatial
attributes of the areas under study. Finding implicit regularities, rules or
patterns hidden in spatial databases is an important task, e.g. for
geo-marketing, traffic control or environmental studies. In this paper the
focus is on the effective use of Spatial Data Mining Techniques in the field of
Economic Geography constrained to the rural areas


title: Learning Stable Multilevel Dictionaries for Sparse Representations

abstract:
  Sparse representations using learned dictionaries are being increasingly used
with success in several data processing and machine learning applications. The
availability of abundant training data necessitates the development of
efficient, robust and provably good dictionary learning algorithms. Algorithmic
stability and generalization are desirable characteristics for dictionary
learning algorithms that aim to build global dictionaries which can efficiently
model any test data similar to the training samples. In this paper, we propose
an algorithm to learn dictionaries for sparse representations from large scale
data, and prove that the proposed learning algorithm is stable and
generalizable asymptotically. The algorithm employs a 1-D subspace clustering
procedure, the K-hyperline clustering, in order to learn a hierarchical
dictionary with multiple levels. We also propose an information-theoretic
scheme to estimate the number of atoms needed in each level of learning and
develop an ensemble approach to learn robust dictionaries. Using the proposed
dictionaries, the sparse code for novel test data can be computed using a
low-complexity pursuit procedure. We demonstrate the stability and
generalization characteristics of the proposed algorithm using simulations. We
also evaluate the utility of the multilevel dictionaries in compressed recovery
and subspace learning applications.


title: Bayesian learning of joint distributions of objects

abstract:
  There is increasing interest in broad application areas in defining flexible
joint models for data having a variety of measurement scales, while also
allowing data of complex types, such as functions, images and documents. We
consider a general framework for nonparametric Bayes joint modeling through
mixture models that incorporate dependence across data types through a joint
mixing measure. The mixing measure is assigned a novel infinite tensor
factorization (ITF) prior that allows flexible dependence in cluster allocation
across data types. The ITF prior is formulated as a tensor product of
stick-breaking processes. Focusing on a convenient special case corresponding
to a Parafac factorization, we provide basic theory justifying the flexibility
of the proposed prior and resulting asymptotic properties. Focusing on ITF
mixtures of product kernels, we develop a new Gibbs sampling algorithm for
routine implementation relying on slice sampling. The methods are compared with
alternative joint mixture models based on Dirichlet processes and related
approaches through simulations and real data applications.


title: Escaping from an attractor: Importance sampling and rest points I

abstract:
  We discuss importance sampling schemes for the estimation of finite time exit
probabilities of small noise diffusions that involve escape from an
equilibrium. A factor that complicates the analysis is that rest points are
included in the domain of interest. We build importance sampling schemes with
provably good performance both pre-asymptotically, that is, for fixed size of
the noise, and asymptotically, that is, as the size of the noise goes to zero,
and that do not degrade as the time horizon gets large. Simulation studies
demonstrate the theoretical results.


title:
The sigma function for Weierstrass semigroups <3,7,8> and
  <6,13,14,15,16>

abstract:
  Compact Riemann surfaces and their abelian functions are instrumental to
solve integrable equations; more recently the representation theory of the
Monster and related modular form have pointed to the relevance of
$\tau$-functions, which are in turn connected with a specific type of abelian
function, the (Kleinian) $\sigma$-function. This paper proposes a construction
of $\sigma$-functions based on the nature of the Weierstrass semigroup at one
point of the Riemann surface as a generalization of the construction of plane
affine models of the Riemann surface. Because our definition is algebraic, we
are able to consider the properties of the $\sigma$-functions including their
Jacobi inversion formulae, and to give an observation of their properties to
those of a Norton basis for replicable functions, in turn relevant to the
Monstrous Moonshine.


title: Domain-of-Attraction Estimation for Uncertain Non-polynomial Systems

abstract:
  In this paper, we consider the problem of computing estimates of the
domain-of-attraction for non-polynomial systems. A polynomial approximation
technique, based on multivariate polynomial interpolation and error analysis
for remaining functions, is applied to compute an uncertain polynomial system,
whose set of trajectories contains that of the original non-polynomial system.
Experiments on the benchmark non-polynomial systems show that our approach
gives better estimates of the domain-of-attraction.


title: Biophysics software for interdisciplinary education and research

abstract:
  Biophysics is a subject that is spread over many disciplines and transcends
the skills and knowledge of the individual student. This makes it challenging
both to teach and to learn. Educational materials are described to aid in
teaching undergraduates biophysics in an interdisciplinary manner. Projects
have been devised on topics that range from x-ray diffraction to the Hodgkin
Huxley equations. They are team-based and encourage collaboration. The projects
make extensive use of software written in Python/Scipy which can be modified to
explore a large range of possible phenomena. The software can also be used in
lectures and in the teaching of more traditional biophysics courses.


title:
The diffusive competition model with a free boundary: Invasion of a
  superior or inferior competitor

abstract:
  In this paper we consider the diffusive competition model consisting of an
invasive species with density $u$ and a native species with density $v$, in a
radially symmetric setting with free boundary. We assume that $v$ undergoes
diffusion and growth in $\R^N$, and $u$ exists initially in a ball
$\{r<h(0)\}$, but invades into the environment with spreading front
$\{r=h(t)\}$, with $h(t)$ evolving according to the free boundary condition
$h'(t)=-\mu u_r(t, h(t))$, where $\mu>0$ is a given constant and $u(t,h(t))=0$.
Thus the population range of $u$ is the expanding ball $\{r<h(t)\}$, while that
for $v$ is $\R^N$. In the case that $u$ is a superior competitor (determined by
the reaction terms), we show that a spreading-vanishing dichotomy holds,
namely, as $t\to\infty$, either $h(t)\to\infty$ and $(u,v)\to (u^*,0)$, or
$\lim_{t\to\infty} h(t)<\infty$ and $(u,v)\to (0,v^*)$, where $(u^*,0)$ and
$(0, v^*)$ are the semitrivial steady-states of the system. Moreover, when
spreading of $u$ happens, some rough estimates of the spreading speed are also
given. When $u$ is an inferior competitor, we show that $(u,v)\to (0,v^*)$ as
$t\to\infty$.


title:
Comprehensive Detection of Genes Causing a Phenotype using Phenotype
  Sequencing and Pathway Analysis

abstract:
  Discovering all the genetic causes of a phenotype is an important goal in
functional genomics. In this paper we combine an experimental design for
multiple independent detections of the genetic causes of a phenotype, with a
high-throughput sequencing analysis that maximizes sensitivity for
comprehensively identifying them. Testing this approach on a set of 24 mutant
strains generated for a metabolic phenotype with many known genetic causes, we
show that this pathway-based phenotype sequencing analysis greatly improves
sensitivity of detection compared with previous methods, and reveals a wide
range of pathways that can cause this phenotype. We demonstrate our approach on
a metabolic re-engineering phenotype, the PEP/OAA metabolic node in E. coli,
which is crucial to a substantial number of metabolic pathways and under
renewed interest for biofuel research. Out of 2157 mutations in these strains,
pathway-phenoseq discriminated just five gene groups (12 genes) as
statistically significant causes of the phenotype. Experimentally, these five
gene groups, and the next two high-scoring pathway-phenoseq groups, either have
a clear connection to the PEP metabolite level or offer an alternative path of
producing oxaloacetate (OAA), and thus clearly explain the phenotype. These
high-scoring gene groups also show strong evidence of positive selection
pressure, compared with strictly neutral selection in the rest of the genome.


title:
The efficiency and wavelength dependence of near-infrared interstellar
  polarization toward the Galactic center

abstract:
  Near-infrared polarimetric imaging observations toward the Galactic center
have been carried out to examine the efficiency and wavelength dependence of
interstellar polarization. A total area of about 5.7 deg$^2$ is covered in the
$J$, $H$, and $K_S$ bands. We examined the polarization efficiency, defined as
the ratio of degree of polarization to color excess. The interstellar medium
between the Galactic center and us shows the polarization efficiency lower than
that in the Galactic disk by a factor of three. Moreover we investigated the
spatial variation of the polarization efficiency by comparing it with those of
color excess, degree of polarization, and position angle. The spatial
variations of color excess and degree of polarization depend on the Galactic
latitude, while the polarization efficiency varies independently of the
Galactic structure. Position angles are nearly parallel to the Galactic plane,
indicating the longitudinal magnetic field configuration between the Galactic
center and us. The polarization efficiency anticorrelates with dispersions of
position angles. The low polarization efficiency and its spatial variation can
be explained by the differences of the magnetic field directions along the
line-of-sight. From the lower polarization efficiency, we suggest a higher
strength of a random component relative to a uniform component of the magnetic
field between the Galactic center and us. We also derived the ratios of degree
of polarization $p_H/p_J$ = 0.581 $\pm$ 0.004 and $p_{K_S}/p_H$ = 0.620 $\pm$
0.002. The power law indices of the wavelength dependence of polarization are
$\beta_{JH}$ = 2.08 $\pm$ 0.02 and $\beta_{HK_S}$ = 1.76 $\pm$ 0.01. Therefore
the wavelength dependence of interstellar polarization exhibits flattening
toward longer wavelengths in the range of 1.25$-$2.14 $\micron$. The flattening
would be caused by aligned large-size dust grains.


title: A Hamiltonian Approach to the Heat Kernel of a SubLaplacian on S(2n+1)

abstract:
  The heat kernel for the Cauchy-Riemann subLaplacian on S(2n+1) is derived in
a manner which is completely analogous to the classical derivation of elliptic
heat kernels. This suggests that the classical hamiltonian construction of
elliptic heat kernels, with appropriate modifications, does yield heat kernels
for subelliptic operators.


title:
Nonparametric Independence Screening in Sparse Ultra-High Dimensional
  Varying Coefficient Models

abstract:
  The varying-coefficient model is an important nonparametric statistical model
that allows us to examine how the effects of covariates vary with exposure
variables. When the number of covariates is big, the issue of variable
selection arrives. In this paper, we propose and investigate marginal
nonparametric screening methods to screen variables in ultra-high dimensional
sparse varying-coefficient models. The proposed nonparametric independence
screening (NIS) selects variables by ranking a measure of the nonparametric
marginal contributions of each covariate given the exposure variable. The sure
independent screening property is established under some mild technical
conditions when the dimensionality is of nonpolynomial order, and the
dimensionality reduction of NIS is quantified. To enhance practical utility and
the finite sample performance, two data-driven iterative NIS methods are
proposed for selecting thresholding parameters and variables: conditional
permutation and greedy methods, resulting in Conditional-INIS and Greedy-INIS.
The effectiveness and flexibility of the proposed methods are further
illustrated by simulation studies and real data applications.


title:
An Advanced Certain Trust Model Using Fuzzy Logic and Probabilistic
  Logic theory

abstract:
  Trustworthiness especially for service oriented system is very important
topic now a day in IT field of the whole world. Certain Trust Model depends on
some certain values given by experts and developers. Here, main parameters for
calculating trust are certainty and average rating. In this paper we have
proposed an Extension of Certain Trust Model, mainly the representation portion
based on probabilistic logic and fuzzy logic. This extended model can be
applied in a system like cloud computing, internet, website, e-commerce, etc.
to ensure trustworthiness of these platforms. The model uses the concept of
fuzzy logic to add fuzziness with certainty and average rating to calculate the
trustworthiness of a system more accurately. We have proposed two new
parameters - trust T and behavioral probability P, which will help both the
users and the developers of the system to understand its present condition
easily. The linguistic variables are defined for both T and P and then these
variables are implemented in our laboratory to verify the proposed trust model.
We represent the trustworthiness of test system for two cases of evidence value
using Fuzzy Associative Memory (FAM). We use inference rules and
defuzzification method for verifying the model.


title:
Genetic Programming for Document Segmentation and Region Classification
  Using Discipulus

abstract:
  Document segmentation is a method of rending the document into distinct
regions. A document is an assortment of information and a standard mode of
conveying information to others. Pursuance of data from documents involves ton
of human effort, time intense and might severely prohibit the usage of data
systems. So, automatic information pursuance from the document has become a big
issue. It is been shown that document segmentation will facilitate to beat such
problems. This paper proposes a new approach to segment and classify the
document regions as text, image, drawings and table. Document image is divided
into blocks using Run length smearing rule and features are extracted from
every blocks. Discipulus tool has been used to construct the Genetic
programming based classifier model and located 97.5% classification accuracy.


title:
Stau with Large Mass Difference and Enhancement of the Higgs to Diphoton
  Decay Rate in the MSSM

abstract:
  The ATLAS and the CMS collaborations have presented results which show an
excess of the Higgs to diphoton decay channel. In the Minimal Supersymmetric
Standard Model (MSSM), this situation can be achieved by a light stau and a
large left-right mixing of the staus. However, this parameter region is
severely constrained by vacuum stability. In order to relax the vacuum
meta-stability condition, we focus on the parameter region where the mass
difference between the two staus is large. This region has not been considered
yet. In this paper, we show that staus with a large mass difference can relax
the vacuum meta-stability condition sufficiently even if the lighter stau mass
is kept light. We find that when the mass difference of two staus is large, the
enhancement of the Higgs to diphoton decay rate becomes small in spite of a
relaxation of the vacuum meta-stability condition. Because of this feature, an
O(70)% enhancement of the Higgs to diphoton decay rate is difficult to achieve
in the light stau scenario in the MSSM.


title:
Distributed Evolutionary Computation: A New Technique for Solving Large
  Number of Equations

abstract:
  Evolutionary computation techniques have mostly been used to solve various
optimization and learning problems successfully. Evolutionary algorithm is more
effective to gain optimal solution(s) to solve complex problems than
traditional methods. In case of problems with large set of parameters,
evolutionary computation technique incurs a huge computational burden for a
single processing unit. Taking this limitation into account, this paper
presents a new distributed evolutionary computation technique, which decomposes
decision vectors into smaller components and achieves optimal solution in a
short time. In this technique, a Jacobi-based Time Variant Adaptive (JBTVA)
Hybrid Evolutionary Algorithm is distributed incorporating cluster computation.
Moreover, two new selection methods named Best All Selection (BAS) and Twin
Selection (TS) are introduced for selecting best fit solution vector.
Experimental results show that optimal solution is achieved for different kinds
of problems having huge parameters and a considerable speedup is obtained in
proposed distributed system.


title: Mobile Jammers for Secrecy Rate Maximization in Cooperative Networks

abstract:
  We consider a source (Alice) trying to communicate with a destination (Bob),
in a way that an unauthorized node (Eve) cannot infer, based on her
observations, the information that is being transmitted. The communication is
assisted by multiple multi-antenna cooperating nodes (helpers) who have the
ability to move. While Alice transmits, the helpers transmit noise that is
designed to affect the entire space except Bob. We consider the problem of
selecting the helper weights and positions that maximize the system secrecy
rate. It turns out that this optimization problem can be efficiently solved,
leading to a novel decentralized helper motion control scheme. Simulations
indicate that introducing helper mobility leads to considerable savings in
terms of helper transmit power, as well as total number of helpers required for
secrecy communications.


title: On Performance Analysis of AMBR Protocol in Mobile Ad Hoc Networks

abstract:
  Due to mobility of nodes in ad hoc networks, the most challenging issue is to
design and to make sound analysis of a routing protocol that determines its
robustness to deliver packets in low routing packet overhead. In this paper, we
thoroughly analyzed the Adaptive Monitor Based Routing (AMBR) protocol by
varying different parameters that affect a routing protocol to measure its
performance. Analysis shows that it requires less routing control overhead
comparing with other prevalent routing protocols. An improved analytical model
is also presented in this paper. All these analyses firmly prove that AMBR is a
sound and robust protocol in terms of flooding, routing overhead and hence,
enhances reliability.