title: J/$\psi$ absorption in a multicomponent hadron gas

abstract:
  A model for anomalous $J/\Psi$ suppression in high energy heavy ion
collisions is presented. As the additional suppression mechanism beyond
standard nuclear absorption inelastic $J/\Psi$ scattering with hadronic matter
is considered. Hadronic matter is modeled as an evolving multi-component gas of
point-like non-interacting particles (MCHG). Estimates for the sound velocity
of the MCHG are given and the equation of state is compared with Lattice QCD
data in the vicinity of the deconfinement phase transition. The approximate
cooling pattern caused by longitudinal expansion is presented. It is shown that
under these conditions the resulting $J/\Psi$ suppression pattern agrees well
with NA38 and NA50 data.


title: Some notable properties of the standard oncology phase I design

abstract:
  We identify three properties of the standard oncology phase I trial design or
3 + 3 design. We show that the standard design implicitly uses isotonic
regression to estimate a maximum tolerated dose. We next illustrate the
relationship between the standard design and a Bayesian design proposed by Ji
et al. (2007). A slight modification to this Bayesian design, under a
particular model specification, would assign treatments in a manner identical
to the standard design. We finally present calculations revealing the behavior
of the standard design in a worst case scenario and compare its behavior with
other 3 + 3-like designs.


title: Seiberg Duality in Chern-Simons Theory

abstract:
  We argue that N=2 supersymmetric Chern-Simons theories exhibit a strong-weak
coupling Seiberg-type duality. We also discuss supersymmetry breaking in these
theories.


title: Coulomb excitation at intermediate energies

abstract:
  Straight line trajectories are commonly used in semi-classical calculations
of the first-order Coulomb excitation cross section at intermediate energies,
and simple corrections are often made for the distortion of the trajectories
that is caused by the Coulomb field. These approximations are tested by
comparing to numerical calculations that use exact Coulomb trajectories. In
this paper a model is devised for including relativistic effects in the
calculations. It converges at high energies towards the relativistic
straight-line trajectory approximation and approaches the non-relativistic
Coulomb trajectory calculation at low energies. The model is tested against a
number of measurements and analyses that have been performed at beam energies
between 30 and 70 MeV/nucleon, primarily of quadrupole excitations. Remarkably
good agreement is achieved with the previous analyses, and good agreement is
also achieved in the few cases, where the B(E$\lambda$) value is known from
other methods. The magnitudes of the relativistic and Coulomb distortion
effects are discussed.


title: Graph Powers and Graph Homomorphisms

abstract:
  In this paper we investigate some basic properties of fractional powers. In
this regard, we show that for any rational number $1\leq {2r+1\over 2s+1}<
og(G)$, $G^{{2r+1\over 2s+1}}\longrightarrow H$ if and only if
$G\longrightarrow H^{-{2s+1\over 2r+1}}.$ Also, for two rational numbers
${2r+1\over 2s+1} < {2p+1\over 2q+1}$ and a non-bipartite graph $G$, we show
that $G^{2r+1\over 2s+1} < G^{2p+1\over 2q+1}$. In the sequel, we introduce an
equivalent definition for circular chromatic number of graphs in terms of
fractional powers. We also present a sufficient condition for equality of
chromatic number and circular chromatic number.


title:
Systematic infrared 2.5-5 micron spectroscopy of nearby ultraluminous
  infrared galaxies with AKARI

abstract:
  We report on the results of systematic infrared 2.5-5 micron spectroscopy of
45 nearby ultraluminous infrared galaxies (ULIRGs) at z < 0.3 using IRC onboard
the AKARI satellite. This paper investigates whether the luminosities of these
ULIRGs are dominated by starburst activity, or optically elusive buried AGNs
are energetically important. Our criteria include the strengths of the 3.3
micron polycyclic aromatic hydrocarbon (PAH) emission features and the optical
depths of absorption features at 3.1 micron due to ice-covered dust grains and
at 3.4 micron from bare carbonaceous dust grains. Because of the AKARI IRC's
spectroscopic capability in the full 2.5-5 micron wavelength range, unaffected
by Earth's atmosphere, we can apply this energy diagnostic method to ULIRGs at
z > 0.15. We estimate the intrinsic luminosities of extended (several kpc),
modestly obscured (Av < 15 mag) starburst activity based on the 3.3 micron PAH
emission luminosities measured in AKARI IRC slitless spectra, and confirm that
such starbursts are energetically unimportant in nearby ULIRGs. In roughly half
of the observed ULIRGs classified optically as non-Seyferts, we find signatures
of luminous energy sources that produce no PAH emission and/or are more
centrally concentrated than the surrounding dust. We interpret these energy
sources as buried AGNs. The fraction of ULIRGs with detectable buried AGN
signatures increases with increasing infrared luminosity. Our overall results
support the scenario that luminous buried AGNs are important in many ULIRGs at
z < 0.3 classified optically as non-Seyferts, and that the optical
undetectability of such buried AGNs occurs merely because of a large amount of
nuclear dust, which can make the sightline of even the lowest dust column
density opaque to the ionizing radiation of the AGNs.


title:
About the asymptotic formula for spectral function of the
  Laplace-Beltrami operator on sphere

abstract:
  In this work we established asymptotical behavior for Riesz means of the
spectral function of the Laplace operator on unit sphere.


title:
Ground-state statistics from annealing algorithms: Quantum vs classical
  approaches

abstract:
  We study the performance of quantum annealing for systems with ground-state
degeneracy by directly solving the Schr\"odinger equation for small systems and
quantum Monte Carlo simulations for larger systems. The results indicate that
naive quantum annealing using a transverse field may not be well suited to
identify all degenerate ground-state configurations, although the value of the
ground-state energy is often efficiently estimated. An introduction of quantum
transitions to all states with equal weights is shown to greatly improve the
situation but with a sacrifice in the annealing time. We also clarify the
relation between the spin configurations in the degenerate ground states and
the probabilities that those states are obtained by quantum annealing. The
strengths and weaknesses of quantum annealing for problems with degenerate
ground states are discussed in comparison with classical simulated annealing.


title:
Nuclear shadowing from exclusive quarkonium photoproduction at the BNL
  RHIC and CERN LHC

abstract:
  The photonuclear production of vector mesons in ultraperipheral heavy ion
collisions is investigated within the collinear approach using different
parameterizations for the nuclear gluon distribution. The integrated cross
section and the rapidity distribution for the $AA \to V AA$ ($V = J/\Psi,
\Upsilon$) process are computed for energies of RHIC and LHC. A comparison with
the recent PHENIX data on coherent production of $J/\Psi$ mesons is also
presented. We demonstrate that the study of the exclusive quarkonium
photoproduction can be used to constrain the nuclear effects in the gluon
distribution.


title:
Physical conditions in potential sources of ultra-high-energy cosmic
  rays: Updated Hillas plot and radiation-loss constraints

abstract:
  We review basic constraints on the acceleration of ultra-high-energy (UHE)
cosmic rays (CRs) in astrophysical sources, namely the geometrical (Hillas)
criterion and restrictions from radiation losses in different acceleration
regimes. Using the latest available astrophysical data, we redraw the Hillas
plot and figure out potential UHECR accelerators. For the acceleration in
central engines of active galactic nuclei, we constrain the maximal UHECR
energy for a given black-hole mass. Among active galaxies, only the most
powerful ones, radio galaxies and blazars, are able to accelerate protons to
UHE, though acceleration of heavier nuclei is possible in much more abundant
lower-power Seyfert galaxies.


title:
Global regularity of wave maps V. Large data local wellposedness and
  perturbation theory in the energy class

abstract:
  Using the harmonic map heat flow and the function spaces of Tataru and the
author, we establish a large data local well-posedness result in the energy
class for wave maps from two-dimensional Minkowski space $\R^{1+2}$ to
hyperbolic spaces $\H^m$. This is one of the five claims required in an earlier
paper in this series to prove global regularity for such wave maps.


title: Quantum Algorithms

abstract:
  This article surveys the state of the art in quantum computer algorithms,
including both black-box and non-black-box results. It is infeasible to detail
all the known quantum algorithms, so a representative sample is given. This
includes a summary of the early quantum algorithms, a description of the
Abelian Hidden Subgroup algorithms (including Shor's factoring and discrete
logarithm algorithms), quantum searching and amplitude amplification, quantum
algorithms for simulating quantum mechanical systems, several non-trivial
generalizations of the Abelian Hidden Subgroup Problem (and related
techniques), the quantum walk paradigm for quantum algorithms, the paradigm of
adiabatic algorithms, a family of ``topological'' algorithms, and algorithms
for quantum tasks which cannot be done by a classical computer, followed by a
discussion.


title: Testable Deviation from Exact Tribimaximal Mixing

abstract:
  A simple relation U_{MNS}=V_{CKM}^\dagger U_{TB} between the lepton and quark
mixing matrices (U_{MNS} and V_{CKM}) is speculated under an ansatz that
U_{MNS} becomes an exact tribimaximal mixing U_{TB} in a limit V_{CKM}={\bf 1}.
By using the observed CKM mixing parameters, possible values of neutrino
oscillation parameters are estimated: \sin^2 \theta_{13}=0.024-0.028, \sin^2
2\theta_{23}=0.94-0.95 and \tan^2 \theta_{12}=0.24-1.00 depending on phase
conventions of U_{TB}. Those values are testable soon by precision measurements
in neutrino oscillation experiments.


title:
Distribution and kinematics of the HCN(3-2) emission down to the
  innermost region in the envelope of the O-rich star W Hya

abstract:
  We report high angular resolution observations of the HCN (3-2) line emission
in the circumstellar envelope of the O-rich star W Hya with the Submillimeter
Array. The proximity of this star allows us to image its molecular envelope
with a spatial resolution of just ~40 AU, corresponding to about 10 times the
stellar diameter. We resolve the HCN (3-2) emission and find that it is
centrally peaked and has a roughly spherically symmetrical distribution. This
shows that HCN is formed in the innermost region of the envelope (within ~10
stellar radii), which is consistent with predictions from pulsation-driven
shock chemistry models, and rules out the scenario in which HCN forms through
photochemical reactions in the outer envelope. Our model suggests that the
envelope decreases steeply in temperature and increases smoothly in velocity
with radius, inconsistent with the standard model for mass-loss driven by
radiative pressure on dust grains. We detect a velocity gradient of ~5 km/s in
the NW--SE direction over the central 40 AU. This velocity gradient is
reminescent of that seen in OH maser lines, and could be caused by the rotation
of the envelope or by a weak bipolar outflow.


title:
The distribution of first-passage times and durations in FOREX and
  future markets

abstract:
  Possible distributions are discussed for intertrade durations and
first-passage processes in financial markets. The view-point of renewal theory
is assumed. In order to represent market data with relatively long durations,
two types of distributions are used, namely, a distribution derived from the
so-called Mittag-Leffler survival function and the Weibull distribution. For
Mittag-Leffler type distribution, the average waiting time (residual life time)
is strongly dependent on the choice of a cut-off parameter t_ max, whereas the
results based on the Weibull distribution do not depend on such a cut-off.
Therefore, a Weibull distribution is more convenient than a Mittag-Leffler type
one if one wishes to evaluate relevant statistics such as average waiting time
in financial markets with long durations. On the other side, we find that the
Gini index is rather independent of the cut-off parameter. Based on the above
considerations, we propose a good candidate for describing the distribution of
first-passage time in a market: The Weibull distribution with a power-law tail.
This distribution compensates the gap between theoretical and empirical results
much more efficiently than a simple Weibull distribution. We also give a useful
formula to determine an optimal crossover point minimizing the difference
between the empirical average waiting time and the one predicted from renewal
theory. Moreover, we discuss the limitation of our distributions by applying
our distribution to the analysis of the BTP future and calculating the average
waiting time. We find that our distribution is applicable as long as durations
follow a Weibull-law for short times and do not have too heavy a tail.

categories: q-fin.TR physics.data-an physics.soc-ph q-fin.ST


title: A note on localizations of mapping spaces

abstract:
  We show that if A is a simply connected, finite, pointed CW-complex then the
mapping spaces Map(A, -) are preserved by the localization functors only if A
has the rational homotopy type of a wedge of spheres of a fixed dimension.


title:
A 8 bits Pipeline Analog to Digital Converter Design for High Speed
  Camera Application

abstract:
  - This paper describes a pipeline analog-to-digital converter is implemented
for high speed camera. In the pipeline ADC design, prime factor is designing
operational amplifier with high gain so ADC have been high speed. The other
advantage of pipeline is simple on concept, easy to implement in layout and
have flexibility to increase speed. We made design and simulation using Mentor
Graphics Software with 0.6 \mu m CMOS technology with a total power dissipation
of 75.47 mW. Circuit techniques used include a precise comparator, operational
amplifier and clock management. A switched capacitor is used to sample and
multiplying at each stage. Simulation a worst case DNL and INL of 0.75 LSB. The
design operates at 5 V dc. The ADC achieves a SNDR of 44.86 dB. keywords:
pipeline, switched capacitor, clock management


title: Alternative approach to community detection in networks

abstract:
  The problem of community detection is relevant in many disciplines of science
and modularity optimization is the widely accepted method for this purpose. It
has recently been shown that this approach presents a resolution limit by which
it is not possible to detect communities with sizes smaller than a threshold
which depends on the network size. Moreover, it might happen that the
communities resulting from such an approach do not satisfy the usual
qualitative definition of commune, i.e., nodes in a commune are more connected
among themselves than to nodes outside the commune. In this article we
introduce a new method for community detection in complex networks. We define
new merit factors based on the weak and strong community definitions formulated
by Radicchi et al (Proc. Nat. Acad. Sci. USA 101, 2658-2663 (2004)) and we show
that this local definitions avoid the resolution limit problem found in the
modularity optimization approach.


title: Volume averaging in the quasispherical Szekeres model

abstract:
  This paper considers the volume averaging in the quasispherical Szekeres
model. The volume averaging became of considerable interest after it was shown
that the volume acceleration calculated within the averaging framework can be
positive even though the local expansion rate is always decelerating. This
issue was intensively studied within spherically symmetric models. However,
since our Universe is not spherically symmetric similar analysis is needed in
non symmetrical models. This papers presents the averaging analysis within the
quasispherical Szekeres model which is a non-symmetrical generalisation of the
spherically symmetric Lema\^itre--Tolman family of models. Density distribution
in the quasispherical Szekeres has a structure of a time-dependent mass dipole
superposed on a monopole. This paper shows that when calculating the volume
acceleration, $\ddot{a}$, within the Szekeres model, the dipole does not
contribute to the final result, hence $\ddot{a}$ only depends on a monopole
configuration. Thus, the volume averaging within the Szekeres model leads to
literally the same solutions as obtained within the Lema\^itre--Tolman model.


title: Characterization of SL(2,q) by its non-commuting graph

abstract:
  Let $G$ be a non-abelian group and $Z(G)$ be its center. The non-commuting
graph $\mathcal{A}_G$ of $G$ is the graph whose vertex set is $G\backslash
Z(G)$ and two vertices are joined by an edge if they do not commute. Let
$\mathrm{SL}(2,q)$ be the special linear group of degree 2 over the finite
field of order $q$. In this paper we prove that if $G$ is a group such that
$\mathcal{A}_G\cong \mathcal{A}_{\mathrm{SL}(2,q)}$ for some prime power $q\geq
2$, then $G\cong \mathrm{SL}(2,q)$.


title:
Discrete Asymptotic Behaviors for Skew-Evolution Semiflows on Banach
  Spaces

abstract:
  The paper emphasizes asymptotic behaviors, as stability, instability,
dichotomy and trichotomy for skew-evolution semiflows, defined by means of
evolution semiflows and evolution cocycles and which can be considered
generalizations for evolution operators and skew-product semiflows. The
definition are given in continuous time, but the unified treatment for the
characterization of the studied properties in the nonuniform case is given in
discrete time. The property of trichotomy, introduced in finite dimension by S.
Elaydi and O. Hajek in 1988 as a natural generalization for the dichotomy of
linear time-varying differential systems, was studied by us in continuous time
and from uniform point of view and in discrete time and from nonuniform point
of view but for a particular case of one-parameter semiflows.


title:
Correlated electron systems periodically driven out of equilibrium:
  Floquet + DMFT formalism

abstract:
  We propose to combine the Floquet formalism for systems in ac fields with the
dynamical mean-field theory to study correlated electron systems periodically
driven out of equilibrium by external fields such as intense laser light. This
approach has a virtue that we can nonperturbatively include both the
correlation effects and nonlinear effects due to the driving field, which is
imperative in analyzing recent experiments for photoinduced phase transitions.
In solving the problem, we exploit a general theorem that the Hamiltonian in a
Floquet matrix form can be exactly diagonalized for single-band noninteracting
systems. As a demonstration, we have applied the method to the Falicov-Kimball
model in intense ac fields to calculate the spectral function. The result shows
that photoinduced midgap states emerge from strong ac fields, triggering an
insulator-metal transition.


title:
Ballistic magneto-thermal transport in a Heisenberg spin chain at low
  temperatures

abstract:
  We study ballistic thermal transport in Heisenberg spin chain with
nearest-neighbor ferromagnetic interactions at low temperatures. Explicit
expressions for transmission coefficients are derived for thermal transport in
a periodic spin chain of arbitrary junction length by a spin-wave model. Our
analytical results agree very well with the ones from nonequilibrium Green's
function method. Our study shows that the transmission coefficient oscillates
with the frequency of thermal wave. Moreover, the thermal transmission shows
strong dependence on the intrachain coupling, the length of the spin chain, and
the external magnetic field. The results demonstrate the possibility of
manipulating spin-wave propagation and magnetothermal conductance in the
spin-chain junction by adjusting the intrachain coupling and/or the external
magnetic field.


title: The Chow ring of relative Fulton-MacPherson space

abstract:
  Suppose that X is a nonsingular variety and D is a nonsingular proper
subvariety. Configuration spaces of distinct and non-distinct n points in X
away from D were constructed by the author and B. Kim in arXiv:0806.3819, by
using the method of wonderful compactification. In this paper, we give an
explicit presentation of Chow motives and Chow rings of these configuration
spaces.


title:
Trace Formulas and a Borg-type Theorem for CMV Operators with
  Matrix-valued Coefficients

abstract:
  We prove a general Borg-type inverse spectral result for a reflectionless
unitary CMV operator (CMV for Cantero, Moral, and Vel\'azquez) associated with
matrix-valued Verblunsky coefficients. More precisely, we find an explicit
formula for the Verblunsky coefficients of a reflectionless CMV matrix whose
spectrum consists of a connected arc on the unit circle. This extends a recent
result on CMV operators with scalar-valued coefficients. In the course of
deriving the Borg-type result we also use exponential Herglotz representations
of Caratheodory matrix-valued functions to prove an infinite sequence of trace
formulas connected with CMV operators.


title: An Overview of Mixture Models

abstract:
  This paper has been withdrawn. With the advancement of statistical theory and
computing power, data sets are providing a greater amount of insight into the
problems of today. Statisticians have an ever increasing number of tools to
attack these problems, some of which can be implemented in the area of mixture
modeling. There is a great deal of literature on mixture models and this work
attempts to provide a general overview of the subject, including the discussion
of relevant issues and algorithms. The reader can hope to gain a broad
understanding of concepts in mixture modeling and find the references cited
within as a valuable resource for the next stage of their research.


title:
Dynamics and neutrino signal of black hole formation in non-rotating
  failed supernovae. II. progenitor dependence

abstract:
  We study the progenitor dependence of the black hole formation and its
associated neutrino signals from the gravitational collapse of non-rotating
massive stars, following the preceding study on the single progenitor model in
Sumiyoshi et al. (2007). We aim to clarify whether the dynamical evolution
toward the black hole formation occurs in the same manner for different
progenitors and to examine whether the characteristic of neutrino bursts is
general having the short duration and the rapidly increasing average energies.
We perform the numerical simulations by general relativistic neutrino-radiation
hydrodynamics to follow the dynamical evolution from the collapse of
pre-supernova models of 40Msun and 50Msun toward the black hole formation via
contracting proto-neutron stars. For the three progenitor models studied in
this paper, we found that the black hole formation occurs in ~0.4-1.5 s after
core bounce through the increase of proto-neutron star mass together with the
short and energetic neutrino burst. We found that density profile of progenitor
is important to determine the accretion rate onto the proto-neutron star and,
therefore, the duration of neutrino burst. We compare the neutrino bursts of
black hole forming events from different progenitors and discuss whether we can
probe clearly the progenitor and/or the dense matter.


title:
Cluster scaling relations from cosmological hydrodynamic simulations in
  dark energy dominated universe

abstract:
  Clusters are potentially powerful tools for cosmology provided their observed
properties such as the Sunyaev-Zel'dovich (SZ) or X-ray signals can be
translated into physical quantities like mass and temperature. Scaling
relations are the appropriate mean to perform this translation. It is
therefore, important to understand their evolution and their modifications with
respect to the physics and to the underlying cosmology. In this spirit, we
investigate the effect of dark energy on the X-ray and SZ scaling relations.
The study is based on the first hydro-simulations of cluster formation for
diferent models of dark energy. We present results for four dark energy models
which differ from each other by their equations of state parameter, $w$.
Namely, we use a cosmological constant model $w=-1$ (as a reference), a perfect
fluid with constant equation of state parameter $w=-0.8$ and one with $w =
-1.2$ and a scalar field model (or quintessence) with varying $w$. We generate
N-body/hydrodynamic simulations that include radiative cooling with the public
version of the Hydra code, modified to consider an arbitrary dark energy
component. We produce cluster catalogues for the four models and derive the
associated X-ray and SZ scaling relations. We find that dark energy has little
effect on scaling laws making it safe to use the $\Lambda$CDM scalings for
conversion of observed quantities into temperature and masses.


title: Lantern relations and rational blowdowns

abstract:
  We discuss a connection between the lantern relation in mapping class groups
and the rational blowing down process for 4-manifolds. More precisely, if we
change a positive relator in Dehn twist generators of the mapping class group
by using a lantern relation, the corresponding Lefschetz fibration changes into
its rational blowdown along a copy of the configuration C_2. We exhibit
examples of such rational blowdowns of Lefschetz fibrations whose blowup is
homeomorphic but not diffeomorphic to the original fibration.


title:
Design and Implementation a 8 bits Pipeline Analog to Digital Converter
  in the Technology 0.6 \mu m CMOS Process

abstract:
  This paper describes a 8 bits, 20 Msamples/s pipeline analog-to-digital
converter implemented in 0.6 \mu m CMOS technology with a total power
dissipation of 75.47 mW. Circuit techniques used include a precise comparator,
operational amplifier and clock management. A switched capacitor is used to
sample and multiplying at each stage. Simulation a worst case DNL and INL of
0.75 LSB. The design operate at 5 V dc. The ADC achieves a SNDR of 44.86 dB.
keywords : pipeline, switched capacitor, clock management


title: Partition of Networks into Basins of Attraction

abstract:
  We study partition of networks into basins of attraction based on a steepest
ascent search for the node of highest degree. Each node is associated with, or
"attracted" to its neighbor of maximal degree, as long as the degree is
increasing. A node that has no neighbors of higher degree is a peak, attracting
all the nodes in its basin. Maximally random scale-free networks exhibit
different behavior based on their degree distribution exponent $\gamma$: for
small $\gamma$ (broad distribution) networks are dominated by a giant basin,
whereas for large $\gamma$ (narrow distribution) there are numerous basins,
with peaks attracting mainly their nearest neighbors. We derive expressions for
the first two moments of the number of basins. We also obtain the complete
distribution of basin sizes for a class of hierarchical deterministic
scale-free networks that resemble random nets. Finally, we generalize the
problem to regular networks and lattices where all degrees are equal, and thus
the attractiveness of a node must be determined by an assigned weight, rather
than the degree. We derive the complete distribution of basins of attraction
resulting from randomly assigned weights in one-dimensional chains.


title: Gravitational Radiation from Neutron Stars and Black Holes

abstract:
  Gravitational Wave Astronomy is becoming a reality as Earth-based
interferometric gravitational-wave detectors reach the design sensitivities and
move towards advanced configurations that may lead to gravitational-wave
detections in the immediate future. In this contribution, I briefly summarize
the basic characteristics of this new area, the discovery prospects and the
potential for fundamental physics. Then, I present results of some
investigations of two different sources of gravitational waves that are
potential targets for present and future planned observatories. First, I will
discuss the generation of gravitational radiation by non-linear effects arising
from the coupling between radial and non-radial oscillations of neutron stars,
which may produce distinctive gravitational-wave signatures. The gravitational
radiation emitted by these sources is in the frequency band of Earth-based
detectors. And second, I will discuss the gravitational-wave emission during
the inspiral of extreme-mass-ratio compact binaries. In this case, the
gravitational waves have low frequencies, inside the frequency band of space
observatories like LISA.


title: Critical Casimir force in the superfluid phase: effect of fluctuations

abstract:
  We have considered the critical Casimir force on a $^4$He film below and
above the bulk $\lambda$ point. We have explored the role of fluctuations
around the mean field theory in a perturbative manner, and have substantially
improved the mean field result of Zandi et al [Phys. Rev. E {\bf 76}, 030601(R)
(2007)]. The Casimir scaling function obtained by us approaches a universal
constant ($-\frac{\zeta(3)}{8\pi}$) for $T\lesssim 2.13~\text{K}$.


title: Simulation of the Lattice QCD and Technological Trends in Computation

abstract:
  Simulation of Lattice QCD is a challenging computational problem. Currently,
technological trends in computation show multiple divergent models of
computation. We are witnessing homogeneous multi-core architectures, the use of
accelerator on-chip or off-chip, in addition to the traditional architectural
models.
  On the verge of this technological abundance, assessing the performance
trade-offs of computing nodes based on these technologies is of crucial
importance to many scientific computing applications.
  In this study, we focus on assessing the efficiency and the performance
expected for the Lattice QCD problem on representative architectures and we
project the expected improvement on these architectures and their impact on
performance for Lattice QCD. We additionally try to pinpoint the limiting
factors for performance on these architectures.


title: Neutrino Oscillation Results from MINOS and MiniBooNE

abstract:
  After a brief introduction to neutrino oscillations and a review of the world
knowledge of neutrino oscillation parameters, we introduce two current neutrino
oscillation experiments, MINOS and MiniBooNE. MINOS makes precise measurements
of the oscillation parameters |\Delta m^{2}_{32}| and sin^{2} (2\theta_{23}).
MiniBooNE tests neutrino oscillations in the parameter region reported by the
LSND experiment, which would require a new neutrino state. We review recent
experimental results from both experiments and give an outlook on future
measurements.


title: Hard Lefschetz actions in Riemannian geometry with special holonomy

abstract:
  It is known that the hard Lefschetz action, together with K\"ahler identities
for K\"ahler (resp. hyperk\"ahler) manifolds, determines a
$\mathfrak{su}(1,1)_{sup}$ (resp. $\mathfrak{sp}(1,1)_{sup}$) Lie superalgebra
action on differential forms. In this paper, we explain the geometric origin of
this action, and we also generalize it to manifolds with other holonomy groups.
For semi-flat Calabi-Yau (resp. hyperk\"ahler) manifolds, these symmetries can
be enlarged to a $\mathfrak{so}(2,2)_{sup}$ (resp. $\mathfrak{su}(2,2)_{sup}$)
action.


title:
The Magnetoplasmon spectrum of a weakly modulated two-dimensional
  electron gas system

abstract:
  The magnetoplasmon spectrum of a magnetically modulated two-dimensional
electron gas (MM2DEG) is investigated. We derive the inter and intra Landau
band magnetoplasmon spectrum within the self consistent field approach. The
derivation is performed at zero temperature as well as at finite temperature.
Results are presented for the inter and intra Landau band magnetoplasmon
spectrum as a function of the inverse magnetic field. As a result of magnetic
modulation, magnetic Weiss oscillations are found to occur in the
magnetoplasmon spectrum. Furthermore, our finite temperature theory facilitates
analysis of effects of temperature on the magnetoplasmon spectrum. The results
are compared with those obtained for an electrically modulated 2DEG system. In
addition, we derive and discuss the effects of simultaneous electric and
magnetic modulations on the magnetoplasmon spectrum of 2DEG when the
modulations are in phase as well as when they are out of phase. Magnetic
oscillations are affected by the relative phase of the two modulations and
position of the oscillations depends on the relative strength of the two
modulations in the former case while we find complete suppression of Weiss
oscillations for particular relative strength of the modulations in the latter
case.


title: Protecting entanglement in superconducting qubits

abstract:
  When a two-qubit system is initially maximally-entangled, two independent
decoherence channels, one per qubit, would greatly reduce the entanglement of
the two-qubit system when it reaches its stationary state. We propose a method
on how to minimize such a loss of entanglement in open quantum systems. We find
that the quantum entanglement of general two-qubit systems with controllable
parameters can be protected by tuning both the single-qubit parameters and the
two-qubit coupling strengths. Indeed, the maximum fidelity $F_{\rm max}$
between the stationary entangled state, $\rho_{\infty}$, and the
maximally-entangled state, $\rho_m$, can be about $2/3\approx\max\{{\rm
tr}(\rho_{\infty}\rho_m)\}=F_{\rm max}$, corresponding to a maximum stationary
concurrence, $C_{\rm max}$, of about $1/3\approx C(\rho_{\infty})=C_{\rm max}$.
This is significant because the quantum entanglement of the two-qubit system
can be protected, even for a long time. We apply our proposal to several types
of two-qubit superconducting circuits, and show how the entanglement of these
two-qubit circuits can be optimized by varying experimentally-controllable
parameters.


title: Coverings, composites and cables of virtual strings

abstract:
  A virtual string can be defined as an equivalence class of planar diagrams
under certain kinds of diagrammatic moves. Virtual strings are related to
virtual knots in that a simple operation on a virtual knot diagram produces a
diagram for a virtual string.
  In this paper we consider three operations on a virtual string or virtual
strings which produce another virtual string, namely covering, composition and
cabling. In particular we study virtual strings unchanged by the covering
operation. We also show how the based matrix of a composite virtual string is
related to the based matrices of its components, correcting a result by Turaev.
Finally we investigate what happens under cabling to some invariants defined by
Turaev.


title: Elementary derivation of the Lense-Thirring precession

abstract:
  An elementary pedagogical derivation of the Lense-Thirring precession is
given based on the use of Hamilton vector. The Hamilton vector is an extra
constant of motion of the Kepler/Coulomb problem related simply to the more
popular Runge-Lenz vector. When a velocity-dependent Lorentz-like
gravitomagnetic force is present, the Hamilton vector, as well as the canonical
orbital momentum are no longer conserved and begin to precess. It is easy to
calculate their precession rates, which are related to the Lense-Thirring
precession of the orbit.


title: Spectroscopy of bright quasars: emission lines and internal extinction

abstract:
  The main purpose of this work is to improve the existing knowledge about the
most powerful engines in the Universe - quasars. Although a lot is already
known, we still have only a vague idea how these engines work exactly, why they
behave as they do, and what the relation is between their evolution and the
evolution of their harboring galaxy.
  Methods we used are based on optical spectroscopy of visually bright quasars,
many of which have recently been discovered as X-ray sources, but eventually
missed in color-selected surveys. The spectra typically cover the 4200-7000 AA
region, allowing measurements of the characteristics of the hydrogen lines, the
FeII contribution, and other lines of interest.
  We present accurate redshift estimates and Seyfert type classification of the
objects. We also show that the contribution of the host galaxy to the optical
continuum is non-negligible in many cases, as is the intrinsic AGN absorption.
Consequences of not correcting for those factors when estimating different
quasar parameters are discussed. We also find some evidence of a non-unity
slope in the relation between the internal extinction based on the Balmer
decrement and the one on the optical continuum slope, implying, if further
confirmed, the intriguing possibility that some absorbing material might
actually be located between the continuum source and the broad-line region.


title: Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions

abstract:
  The shear viscosity, eta, of a fermi gas with non-relativistic conformal
symmetry in two spatial dimensions is investigated. We find that eta/s, s being
the entropy density, diverges as a gas of free particles in this system. It is
in contrast to the eta/s=1/(4 pi) found using non-relativistic AdS/CFT
correspondence, which requires a strongly interacting CFT. It implies the
unitary fermi gas in two spatial dimensions is not likely to have a weakly
interacting gravity dual.


title: The non-anticommutative supersymmetric Wess-Zumino model

abstract:
  We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model
in four dimensions. Firstly we introduce differential operators which implement
the non-anticommutative supersymmetry algebra acting on the component fields
and action. Then we perform the renormalisation of the model up to two-loop
order, including the complete set of terms necessary for renormalisability. We
show that (at least up to this order) the results obtained when we eliminate
the auxiliary field after renormalisation are equivalent to those obtained when
we eliminate the auxiliary fields before quantisation.


title:
Quality factor due to roughness scattering of shear horizontal surface
  acoustic waves in nanoresonators

abstract:
  In this work we study the quality factor associated with dissipation due to
scattering of shear horizontal surface acoustic waves by random self-affine
roughness. It is shown the quality factor is strongly influenced by both the
surface roughness exponent H, and the roughness amplitude w to lateral
correlation length X ratio. Indeed, quality factors for roughness exponents
H>0.5 are comparable to quality factors due to intrinsic dissipation mechanisms
(e.g., thermoelastic losses and phonon-phonon scattering) especially for wave
vectors <1/X. Our results indicate that this dissipation mechanism should be
carefully considered in the design micro/nanoelectromechanical systems.


title:
Space versus Time: Unimodular versus Non-Unimodular Projective Ring
  Geometries?

abstract:
  Finite projective (lattice) geometries defined over rings instead of fields
have recently been recognized to be of great importance for quantum information
theory. We believe that there is much more potential hidden in these geometries
to be unleashed for physics. There exist specific rings over which the
projective spaces feature two principally distinct kinds of basic constituents
(points and/or higher-rank linear subspaces), intricately interwoven with each
other -- unimodular and non-unimodular. We conjecture that these two projective
"degrees of freedom" can rudimentary be associated with spatial and temporal
dimensions of physics, respectively. Our hypothesis is illustrated on the
projective line over the smallest ring of ternions. Both the fundamental
difference and intricate connection between time and space are demonstrated,
and even the ring geometrical germs of the observed macroscopic dimensionality
(3+1) of space-time and the arrow of time are outlined. Some other conceptual
implications of this speculative model (like a hierarchical structure of
physical systems) are also mentioned.


title:
Helical magnetorotational instability of Taylor-Couette flows in the
  Rayleigh limit and for quasi-Kepler rotation

abstract:
  The magnetorotational instability (MRI) of differential rotation under the
simultaneous presence of axial and azimuthal components of the (current-free)
magnetic field is considered. For rotation with uniform specific angular
momentum the MHD equations for axisymmetric perturbations are solved in a local
short-wave approximation. All the solutions are overstable for B_z \cdot B_\phi
\neq 0 with eigenfrequencies approaching the viscous frequency. For more flat
rotation laws the results of the local approximation do not comply with the
results of a global calculation of the MHD instability of Taylor-Couette flows
between rotating cylinders. -- With B_phi and B_z of the same order the
traveling-mode solutions are also prefered for flat rotation laws such as the
quasi-Kepler rotation. For magnetic Prandtl number Pm\to 0 they scale with the
Reynolds number of rotation rather than with the magnetic Reynolds number (as
for standard MRI) so that they can easily be realized in MHD laboratory
experiments. -- Regarding the nonaxisymmetric modes one finds a remarkable
influence of the ratio B_\phi /B_z only for the extrema. For B_\phi >> B_z and
for not too small Pm the nonaxisymmetric modes dominate the traveling
axisymmetric modes. For standard MRI with B_z >> B_\phi, however, the critical
Reynolds numbers of the nonaxisymmetric modes exceed the values for the
axisymmetric modes by many orders so that they are never prefered.


title:
Varying Gravitational Constant as Well as Cosmology from the Early
  Inflation to Late Acceleration and Future Universe

abstract:
  Here, cosmology is obtained from the variable gravitational constant $ G
\propto \phi^{-2}$ with $ \phi(x) $ being a scalar and its fluctuations around
the ground state. The gravitational action contains Einstein-Hilbert like term
with variable $ G $, kinetic energy and self-interaction potential for $
\phi(x) $. Two phase transitions take place in this model. The first one takes
place at the GUT (grand unified theory) scale $ \sim 2.45 \times 10^{14}{\rm
GeV} $, when the early universe exits the inflationay phase and the second one
at the electro-weak scale. Spontaneous symmetry breaking takes place around
this scale As a consequence, variable $ G $ acquires constant value $G_N$ (the
Newtonian gravitational constant).The standard model of cosmology is obtained
in the post-second phase transition era. Interestingly, the dark matter and
quintessence dark energy are created from the gravitational sector as a
combined effect of the linear term of scalar curvature and $ \phi(x) $ without
using non-linear terms of curvature or any other matter fields. It is
interesting to find that fluctuations in $ \phi(x) $ cause the phantom dark
energy after the second phase transition, which grows later in the expanding
universe. It is also found that the phantom era is free from big-rip
singularity.


title: An Exactly Solvable Supersymmetric Model of Semimagic Nuclei

abstract:
  A simple model of nucleons coupled to angular momentum zero (s-pairs)
occupying the valance shell of a semi-magic nuclei is considered. The model has
a separable, orbit dependent pairing interaction which dominates over the
kinetic term. It is shown that such an interaction leads to an exactly solvable
model whose (0+) eigenstates and energies can be computed very easily with the
help of the algebraic Bethe ansatz method. It is also shown that the model has
a supersymmetry which connects the spectra of some semimagic nuclei. The
results obtained from this model for the semimagic Ni isotopes from 58Ni to
68Ni are given. In addition, a new and easier technique for calculating the
energy eigenvalues from the Bethe ansatz equations is also presented.


title:
Effect of the shape of periodic forces and second periodic forces on
  horseshoe chaos in Duffing oscillator

abstract:
  The effect of the shape of six different periodic forces and second periodic
forces on the onset of horseshoe chaos are studied both analytically and
numerically in a Duffing oscillator. The external periodic forces considered
are sine wave, square wave, symmetric saw-tooth wave, asymmetric saw-tooth
wave, rectified sine wave, and modulus of sine wave. An analytical threshold
condition for the onset of horseshoe chaos is obtained in the Duffing
oscillator driven by various periodic forces using the Melnikov method.
Melnikov threshold curve is drawn in a parameter space. For all the forces
except modulus of sine wave, the onset of cross-well asymptotic chaos is
observed just above the Melnikov threshold curve for onset of horseshoe chaos.
For the modulus of sine wave long time transient motion followed by a periodic
attractor is realized. The possibility of controlling of horseshoe and
asymptotic chaos in the Duffing oscillator by an addition of second periodic
force is then analyzed. Parametric regimes where suppression of horseshoe chaos
occurs are predicted. Analytical prediction is demonstrated through direct
numerical simulations. Starting from asymptotic chaos we show the recovery of
periodic motion for a range of values of amplitude and phase of the second
periodic force. Interestingly, suppression of chaos is found in the parametric
regimes where the Melnikov function does not change sign.


title: Non-commutative Castelnuovo-Mumford Regularity and AS-regular Algebras

abstract:
  Let $A$ be a connected graded $k$-algebra with a balanced dualizing complex.
We prove that $A$ is a Koszul AS-regular algebra if and only if that the
Castelnuovo-Mumford regularity and the Ext-regularity coincide for all finitely
generated $A$-modules. This can be viewed as a non-commutative version of
\cite[Theorem 1.3]{ro}. By using Castelnuovo-Mumford regularity, we prove that
any Koszul standard AS-Gorenstein algebra is AS-regular. As a preparation to
prove the main result, we also prove the following statements are equivalent:
(1) $A$ is AS-Gorenstein; (2) $A$ has finite left injective dimension; (3) the
dualizing complex has finite left projective dimension. This generalizes
\cite[Corollary 5.9]{mori}.


title: Edge effects in the two-dimensional spin-1/2 Heisenberg antiferromagnet

abstract:
  We use quantum Monte Carlo simulations to study effects of free edges in the
two-dimensional spin-1/2 Heisenberg antiferromagnet. We find that the magnetic
response of an edge is smaller than the bulk susceptibility. This
counter-intuitive quantum effect can be traced to enhanced antiferromagnetic
nearest-neighbor spin correlations, i.e., tendency to local singlet formation,
at and close to the edge. These correlations form a comb-like pattern, which
can be reproduced with a simple variational valence-bond state. We also study
rough edges, and find that these instead significantly enhance the
susceptibility, due to local sublattice imbalance impeding singlet formation.


title: DC Josephson Effect with Fermi gases in the Bose-Einstein regime

abstract:
  We show that the DC Josephson effect with ultracold fermionic gases in the
BEC regime of composite molecules can be described by a nonlinear Schrodinger
equation (NLSE). By comparing our results with Bogoliubov-de Gennes
calculations [Phys. Rev. Lett. 99, 040401 (2007)] we find that our superfluid
NLSE, which generalizes the Gross-Pitaevskii equation taking into account the
correct equation of state, is reliable in the BEC regime of the BCS-BEC
crossover up to the limit of very large (positive) scattering length. We also
predict that the Josephson current displays relevant beyond mean-field effects.


title:
Vacca-type series for values of the generalized-Euler-constant function
  and its derivative

abstract:
  We generalize well-known Catalan-type integrals for Euler's constant to
values of the generalized-Euler-constant function and its derivatives. Using
generating functions appeared in these integral representations we give new
Vacca and Ramanujan-type series for values of the generalized-Euler-constant
function and Addison-type series for values of the generalized-Euler-constant
function and its derivative. As a consequence, we get base $B$ rational series
for $\log\frac{4}{\pi},$ $\frac{G}{\pi}$ (where $G$ is Catalan's constant),
$\frac{\zeta'(2)}{\pi^2}$ and also for logarithms of Somos's and
Glaisher-Kinkelin's constants.


title:
Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong
  Coupling

abstract:
  Using the duality conjecture between N=6 supersymmetric U(N)_k \times
U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we
calculate the corrections to the shear viscosity of the field theory at
temperature T. At strong 't Hooft coupling and at small k level, we have
considered one-loop correction to the M-theory effective action. At large k
level, we have considered the alpha' correction to the type IIA effective
action. In both cases the correction to the ratio of shear viscosity to the
entropy density is positive.


title:
A modified lookdown construction for the Xi-Fleming-Viot process with
  mutation and populations with recurrent bottlenecks

abstract:
  Let $\Lambda$ be a finite measure on the unit interval. A
$\Lambda$-Fleming-Viot process is a probability measure valued Markov process
which is dual to a coalescent with multiple collisions ($\Lambda$-coalescent)
in analogy to the duality known for the classical Fleming Viot process and
Kingman's coalescent, where $\Lambda$ is the Dirac measure in 0.
  We explicitly construct a dual process of the coalescent with simultaneous
multiple collisions ($\Xi$-coalescent) with mutation, the $\Xi$-Fleming-Viot
process with mutation, and provide a representation based on the empirical
measure of an exchangeable particle system along the lines of Donnelly and
Kurtz (1999). We establish pathwise convergence of the approximating systems to
the limiting $\Xi$-Fleming-Viot process with mutation. An alternative
construction of the semigroup based on the Hille-Yosida theorem is provided and
various types of duality of the processes are discussed.
  In the last part of the paper a population is considered which undergoes
recurrent bottlenecks. In this scenario, non-trivial $\Xi$-Fleming-Viot
processes naturally arise as limiting models.


title:
Determination of gluon polarization from deep inelastic scattering and
  collider data

abstract:
  We investigate impact of $\pi^0$-production data at Relativistic Heavy Ion
Collider (RHIC) and future E07-011 experiment for the structure function $g_1$
of the deuteron at the Thomas Jefferson National Accelerator Facility (JLab) on
studies of nucleonic spin structure, especially on the polarized gluon
distribution function. By global analyses of polarized lepton-nucleon
scattering and the $\pi^0$-production data, polarized parton distribution
functions are determined and their uncertainties are estimated by the Hessian
method. Two types of the gluon distribution function are investigated. One is a
positive distribution and the other is a node-type distribution which changes
sign at $x \sim 0.1$. Although the RHIC $\pi^0$ data seem to favor the node
type for $\Delta g(x)$, it is difficult to determine a precise functional form
from the current data. However, it is interesting to find that the gluon
distribution $\Delta g(x)$ is positive at large $x$ ($>0.2$) due to constraints
from the scaling violation in $g_1$ and RHIC $\pi^0$ data. The JLab-E07-011
measurements for $g_1^d$ should be also able to reduce the gluon uncertainty,
and the reduction is comparable to the one by RUN-5 $\pi^0$-production data at
RHIC. The reduction is caused by the error correlation between polarized
antiquark and gluon distributions and by a next-to-leading-order (NLO) gluonic
effect in the structure function $g_1^d$. We find that the JLab-E07-011 data
are accurate enough to probe the NLO gluonic term in $g_1$. Both RHIC and JLab
data contribute to better determination of the polarized gluon distribution in
addition to improvement on polarized quark and antiquark distributions.


title:
Estimates for differential operators of vector analysis involving
  $L^1$-norm

abstract:
  New Hardy and Sobolev type inequalities involving $L^1$-norms of scalar and
vector-valued functions in $\Bbb{R}^n$ are obtained. The work is related to
some problems stated in the recent paper by Bourgain and Brezis


title:
Gromov Compactness in Hoelder Spaces and Minimal Connections on Jet
  Bundles

abstract:
  The goal of this work is to establish a proof of the Gromov convergence in
Hoelder spaces for curves with a totally real boundary condition following the
original geometric idea of Gromov. We use a local reflection principle in
neighbourhoods of the totally real submanifold as developed by Ivashkovich and
Shevchishin and existence results for special connections on spaces of jet
bundles to obtain higher regularity and Gromov-Schwarz estimates along the
boundary.


title: Refined Analytic Torsion on Manifolds with Boundary

abstract:
  The refined analytic torsion, defined by M. Braverman and T. Kappeler on
closed manifolds, can be viewed as a refinement of the Ray-Singer torsion,
since it is a canonical choice of an element with Ray-Singer norm one, in case
of unitary representations. The complex phase of the refinement is given by the
rho-invariant of the odd-signature operator. Unfortunately there seems to be no
canonical way to extend the construction of Braverman and Kappeler to compact
manifolds with boundary. In particular a gluing formula seems to be out of
reach. We propose a different refinement of analytic torsion, similar to
Braverman and Kappeler, which does apply to compact manifolds with and without
boundary. In a subsequent publication we establish a gluing formula for our
construction, which in fact can also be viewed as a gluing law for the original
definition of refined analytic torsion by Braverman and Kappeler.


title: Problems in High Energy Astrophysics

abstract:
  This contribution discusses some of the main problems in high energy
astrophysics, and the perspectives to solve them using different types of
"messengers": cosmic rays, photons and neutrinos


title: Counting squarefree discriminants of trinomials under abc

abstract:
  For an odd positive integer $n\ge 5$, assuming the truth of the $abc$
conjecture, we show that for a positive proportion of pairs $(a,b)$ of integers
the trinomials of the form $t^n+at+b (a,b\in \mathbb Z)$ are irreducible and
their discriminants are squarefree.


title:
Crystallization of Beta-phase Poly (vinylidene fluoride) films using
  dimethyl sulfoxide (DMSO) solvent and at suitable annealing condition

abstract:
  In literature it has been reported that the gamma-phase PVDF film is formed
from dimethyl sulfoxide (DMSO) solvents regardless of preparation temperature.
In this report the crystallization of both alpha and gamma phase from DMSO
solvent by varying preparation temperature has been described. This paper also
describes the conversion of gamma-phase to beta- phase and alpha-phase at
different annealing condition. When thin films were annealed at 90C for 5
hours, then maximum beta-phase content (greater than 95%) is present in PVDF
thin film. The PVDF films completely converted to alpha-phase, when they were
annealed at 160C for 5 hours. From (X-ray diffraction) XRD, Fourier Transform
Infrared Spectrum (FTIR), (Differential thermal analysis) DTA and Raman
studies, it is confirmed that the PVDF thin films, cast from DMSO solution and
annealed at 90C for 5 hours, have maximum percentage of beta-phase(greater than
95%).


title:
Study on dielectric behavior of Lithium Tantalate(LT) nano particle
  filled poly (vinylidene fluoride) (PVDF) nano composite

abstract:
  For pyroelectric detector application materials should have low dielectric
constant, high pyroelectric coefficient, large non volatile polarization at
small applied electric field and low specific heat. Large field (greater than
1200kV/cm) is need to pole ferroelectric polymer poly (vinylidene fluoride)
(PVDF) and it has low sensitivity compared to other pyroelectric materials. To
increase non volatile polarization at low poling field and to increase
pyroelectric coefficient, LiTaO3 (LT) nano particles were added to PVDF matrix
to make LT/PVDF composite. It is important to study the dielectric properties
of the composite (to be used in detector application) because dielectric
constant varies with volume fraction of filler and with frequency. Nano
composite films of LT/PVDF with different volume fraction (i. e fLT = 0.047,
0.09 and 0.17) of LT were prepared by dispersing LT nano particles in solution
of PVDF. The dielectric properties of LT/PVDF composite were studied by varying
the volume fraction of LT. The dielectric permittivity of LT/ PVDF composites
increased compared to PVDF as the volume fraction of LT increases but the loss
tangent is almost constant at higher frequency. In low frequency region, for
fLT = 0.17 the dielectric permittivity of composite is greater than PVDF and
LT. The dielectric loss tangent is also increased from 0.04 to 0.175 as fLT
increases from 0 to 0.17 at 1 kHz. The dielectric permittivity behavior of
composite has been explained using percolation model and space charge
polarization model.


title:
On the theory of magnetic field dependence of heat conductivity in
  dielectric in isotropic model

abstract:
  Phonon polarization in a magnetic field is analyzed in isotropic model. It is
shown, that at presence of spin-phonon interaction phonon possess circular
polari-zation which causes the appearance of heat flux component perpendicular
both to temperature gradient and magnetic field.


title:
Variations of the solar granulation motions with height using the
  GOLF/SoHO experiment

abstract:
  Below 1 mHz, the power spectrum of helioseismic velocity measurements is
dominated by the spectrum of convective motions (granulation and
supergranulation) making it difficult to detect the low-order acoustic modes
and the gravity modes. We want to better understand the behavior of solar
granulation as a function of the observing height in the solar atmosphere and
with magnetic activity during solar cycle 23. We analyze the Power Spectral
Density (PSD) of eleven years of GOLF/SOHO velocity-time series using a
Harvey-type model to characterize the properties of the convective motions in
the solar oscillation power spectrum. We study then the evolution of the
granulation with the altitude in the solar atmosphere and with the solar
activity. First, we show that the traditional use of a lorentzian profile to
fit the envelope of the p modes is not well suitable for GOLF data. Indeed, to
properly model the solar spectrum, we need a second lorentzian profile. Second,
we show that the granulation clearly evolves with the height in the photosphere
but does not present any significant variation with the activity cycle.


title:
Enhancement of nonvolatile polarization and pyroelectric sensitivity in
  Lithium tantalate (LT)/ Poly (vinylidene fluoride) (PVDF) nano composite

abstract:
  For pyroelectric sensor application, materials having large ferroelectric
polarization at low applied field and high pyroelectric sensitivity are
required. PVDF is one of the ferroelectric polymers, which is being used for
pyroelectric detector application. Following properties of PVDF such as low
density, low acoustic impedance, wide bandwidth, flexibility, toughness, and
ease of fabrication into complex patterns and arrays make it suitable for large
area detector applications. But the PVDF has low value of pyroelectric
coefficient (p). High field (above 1200kV/cm) is required to pole the PVDF
film. To reduce poling field and to get high value of ferroelectric
polarization at low poling field, nano composite films of LT/PVDF have been
prepared. Since LT is ferroelectric (max. poling field ~ 200kV/cm and (p) ~ 2.3
* 10-8 C cm-2/ K) in nature, the nonvolatile polarization of composite
increased from 0.014microC/cm2 to 2.06microC/cm2 at an applied field of
150kV/cm as the volume fraction of LT (fLT) nano particle increases from 0.0 to
0.17. Similarly the increase of fLT from 0.0 to 0.17 results in increase of
pyroelectric voltage sensitivity from 3.93 V/J to 18.5V/J.


title: Primordial non-Gaussianity estimator: the inhomogeneous noise effect

abstract:
  Since the inhomogeneous instrument noise can produce extra non-Gaussianity in
the CMB anisotropy, its effect should be carefully subtracted in the primordial
non-Gaussianity estimation. We calculate the probability distribution function
of the CMB anisotropy for local type of non-Gaussianity, from which the optimal
estimator in the general case (inhomogeneous noise and cut sky) is obtained.
The new estimator obtained here is different from the popular one, since the
inhomogeneous noise and cut sky effects are completely accounted. The CMB
anisotropy in the new estimator is noise weighted. The noise weight is
different from that used by WMAP Group in their 5-year data analysis. Although
it is still difficult to calculate the new estimator rigorously, for the case
of the slightly inhomogeneous noise, there exists a series expansion method to
compute the new estimator. Each order in the series is suppressed by two
factors, $(\frac{\sigma^2}{\sigma^2_{i}}-1)$ and $\frac{C_l}{C^{tot}_{l}}$,
which make the method feasible. Through the Edgeworth expansion we can
generalize our discussion to other types of non-Gaussianity.


title: The Hausdorff dimension of the double points on the Brownian frontier

abstract:
  The frontier of a planar Brownian motion is the boundary of the unbounded
component of the complement of its range. In this paper we find the Hausdorff
dimension of the set of double points on the frontier.


title: Strong laws for balanced triangular urns

abstract:
  Consider an urn model whose replacement matrix is triangular, has all entries
nonnegative and the row sums are all equal to one. We obtain the strong laws
for the counts of balls corresponding to each color. The scalings for these
laws depend on the diagonal elements of a rearranged replacement matrix. We use
the strong laws obtained to study further behavior of certain three color urn
models.


title: Unital Positive Maps and Quantum States

abstract:
  We analyze the structure of the subset of states generated by unital
completely positive quantum maps, A witness that certifies that a state does
not belong to the subset generated by a given map is constructed. We analyse
the representations of positive maps and their relation to quantum
Perron-Frobenius theory.


title: On the geometry of the f-invariant

abstract:
  The f-invariant is a higher version of the e-invariant that takes values in
the divided congruences between modular forms; it can be formulated as an
elliptic genus of manifolds with corners of codimension two.
  In this thesis, we develop a geometrical interpretation of the f-invariant in
terms of index theory, thereby providing an analytical link between the stable
homotopy groups of the spheres and the arithmetic of modular forms. In
particular, we are able to establish a formula that allows us to compute the
f-invariant from a single face. Furthermore, we apply our results to the
situation of cartesian products and principal circle bundles, performing
explicit calculations.


title:
Generalized parton distributions of pseudoscalar mesons in a covariant
  constituent quark model

abstract:
  The isoscalar twist-two generalized parton distributions (GPDs) of the pion
and the kaon are calculated in a Poincare covariant Bethe-Salpeter constituent
quark model. Results are presented for several values of the parameters xi and
t. The results satisfy the form factor constraints and the polynomiality
condition. For the pion GPD, also the isospin symmetry constraint is fulfilled.
The influence of kinematical variables and model parameters on the support of
the GPDs is investigated. To this end, the strength parameters and quark masses
of the constituent quark model are artificially varied.


title: Cuboctahedric Higgs oscillator from the Calogero model

abstract:
  We exclude the center of mass of the N-particle rational Calogero model and
consider the angular part of the resulting Hamiltonian. We show that it
describes the motion of the particle on (N-2)-dimensional sphere interacting
with N(N-1)/2 force centers with Higgs oscillator potential. In the case of
four-particle system these force centers define the vertexes of an Archimedean
solid called cuboctahedron.


title: Maximally homogeneous para-CR manifolds of semisimple type

abstract:
  An almost para-CR structure on a manifold $M$ is given by a distribution $HM
\subset TM$ together with a field $K \in \Gamma({\rm End}(HM))$ of involutive
endomorphisms of $HM$. If $K$ satisfies an integrability condition, then
$(HM,K)$ is called a para-CR structure. The notion of maximally homogeneous
para-CR structure of a semisimple type is given. A classification of such
maximally homogeneous para-CR structures is given in terms of appropriate
gradations of real semisimple Lie algebras.


title: Structure of characteristic Lyapunov vectors in spatiotemporal chaos

abstract:
  We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov
exponents in systems with spatiotemporal chaos. We focus on characteristic LVs
and compare the results with backward LVs obtained via successive Gram-Schmidt
orthonormalizations. Systems of a very different nature such as coupled-map
lattices and the (continuous-time) Lorenz `96 model exhibit the same features
in quantitative and qualitative terms. Additionally we propose a minimal
stochastic model that reproduces the results for chaotic systems. Our work
supports the claims about universality of our earlier results [I. G. Szendro et
al., Phys. Rev. E 76, 025202(R) (2007)] for a specific coupled-map lattice.


title: Superconductivity in the 2D Hubbard model: Electron doping is different

abstract:
  A variational Monte Carlo calculation is used for studying the ground state
of the two-dimensional Hubbard model, including hopping between both nearest
and next-nearest neighbor sites. Superconductivity with d-wave symmetry is
found to be restricted to densities where the Fermi surface crosses the
magnetic zone boundary. The condensate energy is much larger for hole doping
than for electron doping. Superconductivity is kinetic energy driven for hole
doping, but potential energy driven for electron doping. Our findings agree
surprisingly well with experimental data for layered cuprates, both for
electron- and hole-doped materials.


title:
Evidence for the Sr2RuO4 intercalations in the Sr3Ru2O7 region of the
  Sr3Ru2O7-Sr2RuO4 eutectic system

abstract:
  Although Sr3Ru2O7 has not been reported to exhibit superconductivity so far,
ac susceptibility measurements revealed multiple superconducting transitions
occurring in the Sr3Ru2O7 region cut from Sr3Ru2O7-Sr2RuO4 eutectic crystals.
Based on various experimental results, some of us proposed the scenario in
which Sr2RuO4 thin slabs with a few layers of the RuO2 plane are embedded in
the Sr3Ru2O7 region as stacking faults and multiple superconducting transitions
arise from the distribution of the slab thickness. To examine this scenario, we
measured the resistivity along the ab plane (rho_ab) using a Sr3Ru2O7-region
sample cut from the eutectic crystal, as well as along the c axis (rho_c) using
the same crystal. As a result, we detected resistance drops associated with
superconductivity only in rho_ab, but not in rho_c. These results support the
Sr2RuO4 thin-slab scenario. In addition, we measured the resistivity of a
single crystal of pure Sr3Ru2O7 with very high quality and found that pure
Sr3Ru2O7 does not exhibit superconductivity down to 15 mK.


title: Masses of Black Holes in the Universe

abstract:
  The different methods of determination of black holes (BHs) masses are
presented for three classes of BHs observed in the Universe: stellar mass BHs,
intermediate mass BHs (IMBHs) and supermassive BHs (SBHs). The results of these
determinations are briefly reviewed: stellar mass BHs are found in the range of
about 3 to about 20 solar masses, IMBHs in the range of a few hundreds to a few
tens of thousands solar masses (the determinations are much less precise for
these objects) and SBHs in the range of about 3x10^5 to about 6x10^10 solar
masses.


title: Smoothings of schemes with non-isolated singularities

abstract:
  In this paper we study the deformation and Q-Gorenstein deformation theory of
schemes with non-isolated singularities. We obtain obstruction spaces for the
existence of deformations and also for local deformations to exist globally.
Finally we obtain explicit criteria in order for a pure and reduced scheme of
finite type over a field $k$ to have smoothings and Q-Gorenstein smoothings.


title: The Einstein formula: E_0=mc^2 "Isn't the Lord laughing?"

abstract:
  The article traces the way Einstein formulated the relation between energy
and mass in his work from 1905 to 1955. Einstein emphasized quite often that
the mass $m$ of a body is equivalent to its rest energy $E_0$. At the same time
he frequently resorted to the less clear-cut statement of equivalence of energy
and mass. As a result, Einstein's formula $E_0=mc^2$ still remains much less
known than its popular form, $E=mc^2$, in which $E$ is the total energy equal
to the sum of the rest energy and the kinetic energy of a freely moving body.
One of the consequences of this is the widespread fallacy that the mass of a
body increases when its velocity increases and even that this is an
experimental fact. As wrote the playwright A N Ostrovsky "Something must exist
for people, something so austere, so lofty, so sacrosanct that it would make
profaning it unthinkable."


title: Using Tau Polarization for Charged Higgs Boson and SUSY Searches at LHC

abstract:
  The $\tau$ polarization can be easily measured at LHC in the 1-prong hadronic
$\tau$ decay channel by measuring what fraction of the $\tau$-jet momentum is
carried by the charged track. A simple cut requiring this fraction to be >0.8
retains most of the polarization of $\tau=$+1 $\tau$-jet signal while
suppressing the polarization of $\tau=$-1 $\tau$-jet background and practically
eliminating the fake $\tau$ background. This can be utilized to extract the
charged Higgs signal. It can be also utilized to extract the SUSY signal in the
stau NLSP region, and in particular the stau co-annihilaton region.


title:
Collective Excitations of Rotating Dipolar Fermi Gases in the Fractional
  Quantum Hall Regime

abstract:
  We apply the magneto-roton theory of the fractional quantum Hall effect to
study the collective excitation spectrum of rotating dipolar Fermi gases. The
predicted spectrum has a finite energy gap in the long wavelength limit and a
roton minimum at finite wave vector. The roton minimum being deepened from
filling factor 1/3 to filling factor 1/5 is a signature of incipient
crystallization near filling factor 1/7. We also demonstrate that there are no
low-lying single-particle excitations below the roton mode. The
fractional-quantum-Hall fluid rotating dipolar fermions behaves as an
incompressible superfluid at low temperature.


title: Spinors and Theta Deformations

abstract:
  The construction due to Connes and Landi of Dirac operators on theta-deformed
manifolds is recalled, stressing the aspect of spin structure. The description
of Connes and Dubois-Violette is extended to arbitrary spin structure.


title: Exhaustible sets in higher-type computation

abstract:
  We say that a set is exhaustible if it admits algorithmic universal
quantification for continuous predicates in finite time, and searchable if
there is an algorithm that, given any continuous predicate, either selects an
element for which the predicate holds or else tells there is no example. The
Cantor space of infinite sequences of binary digits is known to be searchable.
Searchable sets are exhaustible, and we show that the converse also holds for
sets of hereditarily total elements in the hierarchy of continuous functionals;
moreover, a selection functional can be constructed uniformly from a
quantification functional. We prove that searchable sets are closed under
intersections with decidable sets, and under the formation of computable images
and of finite and countably infinite products. This is related to the fact,
established here, that exhaustible sets are topologically compact. We obtain a
complete description of exhaustible total sets by developing a computational
version of a topological Arzela--Ascoli type characterization of compact
subsets of function spaces. We also show that, in the non-empty case, they are
precisely the computable images of the Cantor space. The emphasis of this paper
is on the theory of exhaustible and searchable sets, but we also briefly sketch
applications.


title: Transient dynamics of the Anderson impurity model out of equilibrium

abstract:
  We discuss the transient effects in the Anderson impurity model that occur
when two fermionic continua with finite bandwidths are instantaneously coupled
to a central level. We present results for the analytically solvable
noninteracting resonant level system first and then consistently extend them to
the interacting case using the conventional perturbation theory and recently
developed nonequilibrium Monte Carlo simulation schemes. The main goal is to
gain an understanding of the full time-dependent nonlinear current-voltage
characteristics and the population probability of the central level. We find
that, contrary to the steady state, the transient dynamics of the system
depends sensitively on the bandwidth of the electrode material.


title: Functional Determinants for Regular-Singular Laplace-type Operators

abstract:
  We discuss a specific class of regular-singular Laplace-type operators with
matrix coefficients. Their zeta determinants were studied by K. Kirsten, P.
Loya and J. Park on the basis of the Contour integral method, with general
boundary conditions at the singularity and Dirichlet boundary conditions at the
regular boundary. We complete the arguments of Kirsten, Loya and Park by
explicitly verifying that the Contour integral method indeed applies in the
regular-singular setup. Further we extend the zeta determinant computations to
generalized Neumann boundary conditions at the regular boundary and apply our
results to Laplacians on a bounded generalized cone with relative ideal
boundary conditions.


title: Electromagnetic form factors of hadrons in the time-like region

abstract:
  Hadron electromagnetic form factors of hadrons in the time-like region at the
boundary of the physical region is considered. The energy behaviour of the form
factor is shown to be dominantely determined by the strong hadron-antihadron
interaction. The scattering length imaginary part for $p-\bar{p}$,
$\Lambda-\bar{\Lambda}$, $\Sigma^0-\bar{\Sigma^0}$ are evaluated. We propose
experiments to extract the information on the nearthreshold baryon-antibaryon
interaction by using of hadron form foctors.


title:
Antiferromagnetism versus Kondo screening in the two-dimensional
  periodic Anderson model at half filling: Variational cluster approach

abstract:
  The variational cluster approach (VCA) based on the self-energy functional
theory is applied to the two-dimensional symmetric periodic Anderson model at
half filling. We calculate a variety of physical quantities including the
staggered moments and single-particle spectra at zero temperature to show that
the symmetry breaking due to antiferromagnetic ordering occurs in the strong
coupling region, whereas in the weak coupling region, the Kondo insulating
state without symmetry breaking is realized. The critical interaction strength
is estimated. We thus demonstrate that the phase transition due to competition
between antiferromagnetism and Kondo screening in the model can be described
quantitatively by VCA.


title:
Search for scalar leptoquarks and T-odd quarks in the acoplanar jet
  topology using 2.5 fb-1 of ppbar collision data at sqrt(s)=1.96 TeV

abstract:
  A search for new physics in the acoplanar jet topology has been performed in
2.5 fb-1 of data from ppbar collisions at sqrt(s)=1.96 TeV, recorded by the D0
detector at the Fermilab Tevatron Collider. The numbers of events with exactly
two acoplanar jets and missing transverse energy are in good agreement with the
standard model expectations. The result of this search has been used to set a
lower mass limit of 205 GeV at the 95% C.L. on the mass of a scalar leptoquark
when this particle decays exclusively into a quark and a neutrino. In the
framework of the Little Higgs model with T-parity, limits have also been
obtained on the T-odd quark mass as a function of the T-odd photon mass.


title: Sensing Shallow Seafloor and Sediment Properties, Recent History

abstract:
  Near surface seafloor properties are needed for recreational, commercial, and
military applications. Construction projects on the ocean seafloors often
require extensive knowledge about strength, deformability, hydraulic, thermal,
acoustic, and seismic characteristics for locating stable environments and
ensuring proper functioning of structures, pipelines, and other installations
on the surface of and buried into the marine sediments. The military is also
interested in a variety of seafloor properties as they impact sound
propagation, mine impact burial, trafficability, bearing capacity,
time-dependent settlement, and stability of objects on the seafloor. Point
measurements of sediment properties are done using core samplers and sediment
grab devices (with subsequent lab analysis) and in-situ probes. These
techniques are expensive in terms of ship time and provide limited area
coverage. Sub-bottom acoustic and electromagnetic sensors can provide profiles
of near surface sediment information with improved coverage rates. Fusion
techniques are being developed to provide areal extent of sediment information
from multiple sensors. This paper examines the recent history of techniques
used to measure sediment properties in the upper portions of the seafloor and
in shallow (<100m) water.


title: Ion induced segregation in gold nanostructured thin films on silicon

abstract:
  We report a direct observation of segregation of gold atoms to the near
surface regime due to 1.5 MeV Au2+ ion impact on isolated gold nanostructures
deposited on silicon. Irradiation at fluences of 6x10^13, 1x10^14 and 5x10^14
ions cm-2 at a high beam flux of 6.3x1012 ions cm-2 s-1 show a maximum
transported distance of gold atoms into the silicon substrate to be 60, 45 and
23 nm, respectively. At a lower fluence (6x1013 ions cm-2) transport has been
found to be associated with the formation of gold silicide (Au5Si2). At a high
fluence value of 5x10^14 ions cm-2, disassociation of gold silicide and
out-diffusion lead to segregation of gold to defect - rich surface and
interface region.


title: Analytic Torsion of a Bounded Generalized Cone

abstract:
  Torsion invariants for manifolds which are not simply connected were
introduced by K. Reidemeister and generalized to higher dimensions by W. Franz.
The Reidemeister torsion, was the first invariant of manifolds which was not a
homotopy invariant. The analytic counterpart of the combinatorial Reidemeister
torsion was introduced by D. B. Ray and I. M. Singer in form of a weighted
product of zeta-regularized determinants of Laplace operators on differential
forms. The celebrated Cheeger-Mueller Theorem, established independently by J.
Cheeger and W. Mueller, proved equality between the analytic Ray-Singer torsion
and the combinatorial Reidemeister torsion for any smooth closed manifold with
an orthogonal representation of its fundamental group. Motivated by the vision
of a Cheeger-Mueller type result on manifolds with conical singularities, we
compute the analytic torsion of a bounded generalized cone by generalizing the
computational methods of M. Spreafico and using the symmetry of the de Rham
complex, as established by M. Lesch.


title:
Effective Perrin theory for the anisotropic diffusion of a strongly
  hindered rod

abstract:
  Slender rods in concentrated suspensions constitute strongly interacting
systems with rich dynamics: transport slows down drastically and the anisotropy
of the motion becomes arbitrarily large. We develop a mesoscopic description of
the dynamics down to the length scale of the interparticle distance. Our theory
is based on the exact solution of the Smoluchowski-Perrin equation; it is in
quantitative agreement with extensive Brownian dynamics simulations in the
dense regime. In particular, we show that the tube confinement is characterised
by a power law decay of the intermediate scattering function with exponent 1/2.


title: Gluing Formula for Refined Analytic Torsion

abstract:
  In the previous article "Refined Analytic Torsion on Manifolds with Boundary"
we have presented a construction of refined analytic torsion in the spirit of
Braverman and Kappeler, which does apply to compact manifolds with and without
boundary. We now derive a gluing formula for our construction, which can be
viewed as a gluing law for the original definition of refined analytic torsion
by Braverman and Kappeler. A gluing formula allows to compute the torsion
invariant by cutting the manifold into elementary pieces and performing
computations on each component. Certainly, the general fact of existence of
such gluing formulas is remarkable from the analytic point of view, since the
secondary spectral invariants are uppermost non-local.


title: Reflecting magnons from D7 and D5 branes

abstract:
  We obtain the reflection matrices for the scattering of elementary magnons
from certain open boundaries, corresponding to open strings ending on D7 and D5
branes in $AdS_5\times S^5$. In each case we consider two possible orientations
for the vacuum state. We show that symmetry arguments are sufficient to
determine the reflection matrices up to at most two unknown functions. The D7
reflection matrices obey the boundary Yang Baxter-Equation. This is automatic
for one vacuum orientation, and requires a natural choice of ratio between two
unknowns for the other. In contrast, the D5 reflection matrices do not obey the
boundary Yang Baxter-Equation. In both cases we show consistency with the
existent weak and strong coupling results.


title:
Z0 Boson Measurement with the ALICE Central Barrel in pp collisions at
  14 TeV

abstract:
  The possibility to detect the Z0 in the ALICE central barrel is studied via
the electronic decay channel Z0->e+e-. The signal and the background are
simulated with the leading order event generator PYTHIA 6. The total
cross-sections are taken from NLO calculations. Based on test beam data, the
electron identification performance of the Transition Radiation Detector is
extrapolated to high momenta. The expected yields for minimum-bias pp
collisions at 14 TeV are presented. An isolation cut on the single electron,
together with a minimum transverse momentum cut, allows to obtain a clear
signal. The expected background is of the order of 1 % with the main
contribution coming from misidentified pions from jets.


title:
Terahertz metamaterials on free-standing highly-flexible polyimide
  substrates

abstract:
  We have fabricated resonant terahertz metamaterials on free standing
polyimide substrates. The low-loss polyimide substrates can be as thin as 5.5
micron yielding robust large-area metamaterials which are easily wrapped into
cylinders with a radius of a few millimeters. Our results provide a path
forward for creating multi-layer non-planar metamaterials at terahertz
frequencies.


title:
XMM-Newton Observations of the Nuclei of the Radio Galaxies 3C 305, DA
  240, and 4C 73.08

abstract:
  We present new XMM-Newton EPIC observations of the nuclei of the nearby radio
galaxies 3C 305, DA 240, and 4C 73.08, and investigate the origin of their
nuclear X-ray emission. The nuclei of the three sources appear to have
different relative contributions of accretion- and jet-related X-ray emission,
as expected based on earlier work. The X-ray spectrum of the FRII narrow-line
radio galaxy (NLRG) 4C 73.08 is modeled with the sum of a heavily absorbed
power law that we interpret to be associated with a luminous accretion disk and
circumnuclear obscuring structure, and an unabsorbed power law that originates
in an unresolved jet. This behavior is consistent with other narrow-line radio
galaxies. The X-ray emission of the low-excitation FRII radio galaxy DA 240 is
best modeled as an unabsorbed power law that we associate with a parsec-scale
jet, similar to other low-excitation sources that we have studied previously.
However, the X-ray nucleus of the narrow-line radio galaxy 3C 305 shows no
evidence for the heavily absorbed X-ray emission that has been found in other
NLRGs. It is possible that the nuclear optical spectrum in 3C 305 is
intrinsically weak-lined, with the strong emission arising from extended
regions that indicate the presence of jet--environment interactions. Our
observations of 3C 305 suggest that this source is more closely related to
other weak-lined radio galaxies. This ambiguity could extend to other sources
currently classified as NLRGs. We also present XMM-Newton and VLA observations
of the hotspot of DA 240, arguing that this is another detection of X-ray
synchrotron emission from a low-luminosity hotspot.


title: LOcalized modes on an Ablowitz-Ladik nonlinear impurity

abstract:
  We study localized modes on a single Ablowitz-Ladik impurity embedded in the
bulk or at the surface of a one-dimensional linear lattice. Exact expressions
are obtained for the bound state profile and energy. Dynamical excitation of
the localized mode reveals exponentially-high amplitude oscillations of the
spatial profile at the impurity location. The presence of a surface increases
the minimum nonlinearity to effect a dynamical selftrapping.


title: Formality of the little N-disks operad

abstract:
  We develop the details of Kontsevich's proof of the formality of little
N-disks operad over the field of real numbers. Formality holds in the category
of operads of chain complexes and also in some sense in the category of
commutative differential graded algebras, which is the category encoding "real"
homotopy theory. We also prove a relative version of the formality for the
inclusion of the little m-disks operad in the little N-disks operad for
N>=2m+1.


title: Subcritical String and Large N QCD

abstract:
  We pursue the possibility of using subcritical string theory in 4 space-time
dimensions to establish a string dual for large N QCD. In particular we study
the even G-parity sector of the 4 dimensional Neveu-Schwarz dual resonance
model as the natural candidate for this string theory. Our point of view is
that the open string dynamics given by this model will {\it determine} the
appropriate subcritical closed string theory, a tree level background of which
should describe the sum of planar multi-loop open string diagrams. We examine
the one loop open string diagram, which contains information about the closed
string spectrum at weak coupling. Higher loop open string diagrams will be
needed to determine closed string interactions. We also analyze the field
theory limit of the one loop open string diagram and recover the correct
running coupling behavior of the limiting gauge theory.


title: On the Danilov-Gizatullin Isomorphism Theorem

abstract:
  A Danilov-Gizatullin surface is a normal affine surface V, which is a
complement to an ample section S in a Hirzebruch surface of index d. By a
surprising result due to Danilov and Gizatullin, V depends only on the
self-intersection number of S and neither on d nor on S. In this note we
provide a new and simple proof of this Isomorphism Theorem.


title: Sums of squares on reducible real curves

abstract:
  We ask whether every polynomial function that is non-negative on a real
algebraic curve can be expressed as a sum of squares in the coordinate ring.
Scheiderer has classified all irreducible curves for which this is the case.
For reducible curves, we show how the answer depends on the configuration of
the irreducible components and give complete necessary and sufficient
conditions. We also prove partial results in the more general case of finitely
generated preorderings and discuss applications to the moment problem for
semialgebraic sets.


title: X-ray Spectral Properties of the BAT AGN Sample

abstract:
  The 9-month Swift Burst Alert Telescope (BAT) catalog provides the first
unbiased (log N_H < 24) look at local (<z> = 0.03) AGN. In this paper, we
present the collected X-ray properties (0.3 - 12keV) for the 153 AGN detected.
In addition, we examine the X-ray properties for a complete sample of
non-beamed sources, above the Galactic plane. Of these, 45% are best fit by
simple power law models while 55% require the more complex partial covering
model. One of our goals was to determine the fraction of "hidden" AGN, which we
define as sources with scattering fractions < 0.03 and ratios of soft to hard
X-ray flux < 0.04. We found that "hidden" AGN constitute a high percentage of
the sample (24%), proving that they are a very significant portion of local
AGN. Further, we find that the fraction of absorbed sources does increase at
lower unabsorbed 2-10 keV luminosities, as well as accretion rates. Some of the
most interesting results for the BAT AGN sample involve the host galaxy
properties. We found that 33% are hosted in peculiar/irregular galaxies and
only 5/74 hosted in ellipticals. Further, 54% are hosted in interacting/merger
galaxies. Finally, we present both the average X-ray spectrum (0.1-10 keV) and
log N-log S in the 2-10 keV band. With our average spectrum, we have the
remarkable result of reproducing the measured CXB X-ray power law slope of ~
1.4 (Marshall et al. 1980). From the log N-log S relationship, we show that we
are complete to log S < -11 in the 2-10 keV band. Both the collected X-ray
properties of our uniform sample and the log N-log S relationship will now
provide valuable input to X-ray background models for z ~ 0. (abridged)


title:
Gamma Ray Burst Production and Supernova Signatures in Slowly Rotating
  Collapsars

abstract:
  We consider accretion onto newborn black holes following the collapse of
rotating massive stellar cores, at the threshold where a centrifugally
supported disk gives way to nearly radial inflow for low angular momentum. For
realistic initial conditions taken from pre-supernova (pre-SN) evolution
calculations, the densities and temperatures involved require the use of a
detailed equation of state and neutrino cooling processes, as well as a
qualitative consideration of the effects of general relativity. Through
two-dimensional dynamical calculations we show how the energy release is
affected by the rotation rate and the strength of angular momentum transport,
giving rise to qualitatively different solutions in limits of high and low
angular momentum, each being capable of powering a gamma-ray burst (GRB). We
explore the likelihood of producing Fe-group elements in the two regimes and
suggest that while large and massive centrifugally supported disks are capable
of driving strong outflows with a possible SN-like signature, quasi-radial
flows lack such a feature and may produce a GRB without such an accompanying
feature, as seen in GRB060505.


title: Measuring entropy generated by spin-transfer

abstract:
  An experimental protocol is presented that allows the entropy generated by
spin-transfer to be measured. The effect of a strong spin-polarized current
injected on a ferromagnetic nanostructure is investigated with focusing on the
quasi-static equilibrium states of a ferromagnetic single domain. The samples
are single contacted Ni nanowires obtained by electrodeposition in a nanoporous
template. The thermal susceptibility of the magnetoresistance is measured as a
function of the magnetic field for different values of the current injected
through the wire. This quantity is related to the thermal magnetic
susceptibility of the ferromagnetic wire through the anisotropic
magnetoresistance. The ferromagnetic entropy generated by the current injection
is deduced thanks to a thermodynamic Maxwell relation. This study shows that
the effect of the spin-transfer in our samples results in the generation of
incoherent excitations instead of rotation of the magnetization.


title:
Role of relaxation in the quantum measurement of a superconducting qubit
  using a nonlinear oscillator

abstract:
  We analyze the relaxation of a superconducting flux qubit during measurement.
The qubit state is measured with a nonlinear oscillator driven across the
threshold of bifurcation, acting as a switching dispersive detector. This
readout scheme is of quantum non-demolition type. Two successive readouts are
used to analyze the evolution of the qubit and the detector during the
measurement. We introduce a simple transition rate model to characterize the
qubit relaxation and the detector switching process. Corrected for qubit
relaxation the readout fidelity is at least 95%. Qubit relaxation strongly
depends on the driving strength and the state of the oscillator.


title: In situ reduction of charge noise in GaAs/AlGaAs Schottky-gated devices

abstract:
  We show that an insulated electrostatic gate can be used to strongly suppress
ubiquitous background charge noise in Schottky-gated GaAs/AlGaAs devices. Via a
2-D self-consistent simulation of the conduction band profile we show that this
observation can be explained by reduced leakage of electrons from the Schottky
gates into the semiconductor through the Schottky barrier, consistent with the
effect of "bias cooling". Upon noise reduction, the noise power spectrum
generally changes from Lorentzian to $1/f$ type. By comparing wafers with
different Al content, we exclude that DX centers play a dominant role in the
charge noise.


title: Quantum Reflection of S-wave Unstable States

abstract:
  The phase time in quantum tunneling can be disentangled into a dwell time
plus a term arising due to the interference of the reflected and incident waves
in front of the barrier. The interference term dominates at low energies and as
E --> 0, this term and hence the phase time becomes singular. With the s-wave
motion in three dimensions being equivalent to that of a one-dimensional motion
in the radial coordinate, a similar singularity shows up in the phase time
delay of s-wave resonances. Relating the scattering matrix in three dimensional
collisions to the reflection amplitude, the interference term in tunneling can
be identified as a term given in terms of the transition matrix in scattering.
Subtraction of this term from the phase time delay gives the dwell time delay
which is finite at all energies and is useful in characterizing s-wave
resonances such as the sigma meson and mesic nuclei near threshold.


title: Fourier Series Of the Derivatives of Hurwitz and Lerch Zeta Functions

abstract:
  As a function of second variable, we identify the Fourier series of Hurwitz
zeta function and its derivatives on the unit interval. Consequently, we obtain
results based on the formula for Fourier coefficients and also on Parseval's
theorem. We do likewise in the case of Lerch's zeta function and its
derivatives.


title:
On a correspondence between regular and non-regular operator monotone
  functions

abstract:
  We prove that there is a bijection between the families of regular and
non-regular operator monotone functions. As an application we give a new proof
of the operator monotonicity of a certain class of functions related to
Wigner-Yanase-Dyson skew information.


title: Non-degeneracy of Pollard Rho Collisions

abstract:
  The Pollard Rho algorithm is a widely used algorithm for solving discrete
logarithms on general cyclic groups, including elliptic curves. Recently the
first nontrivial runtime estimates were provided for it, culminating in a sharp
O(sqrt(n)) bound for the collision time on a cyclic group of order n. In this
paper we show that for n satisfying a mild arithmetic condition, the collisions
guaranteed by these results are nondegenerate with high probability: that is,
the Pollard Rho algorithm successfully finds the discrete logarithm.


title: Gravity in Gauge Mediation

abstract:
  We investigate O'Raifeartaigh-type models for F-term supersymmetry breaking
in gauge mediation scenarios in the presence of gravity. It is pointed out that
the vacuum structure of those models is such that in metastable vacua gravity
mediation contribution to scalar masses is always suppressed to the level below
1 percent, almost sufficient for avoiding FCNC problem. Close to that limit,
gravitino mass can be in the range 10-100 GeV, opening several interesting
possibilities for gauge mediation models, including Giudice-Masiero mechanism
for mu and Bmu generation. Gravity sector can include stabilized moduli.