title: Strong Dynamo Action in Rapidly Rotating Suns

abstract:
  Stellar dynamos are driven by complex couplings between rotation and
turbulent convection, which drive global-scale flows and build and rebuild
stellar magnetic fields. When stars like our sun are young, they rotate much
more rapidly than the current solar rate. Observations generally indicate that
more rapid rotation is correlated with stronger magnetic activity and perhaps
more effective dynamo action. Here we examine the effects of more rapid
rotation on dynamo action in a star like our sun. We find that vigorous dynamo
action is realized, with magnetic field generated throughout the bulk of the
convection zone. These simulations do not possess a penetrative tachocline of
shear where global-scale fields are thought to be organized in our sun, but
despite this we find strikingly ordered fields, much like sea-snakes of
toroidal field, which are organized on global scales. We believe this to be a
novel finding.


title:
WASP-5b: a dense, very-hot Jupiter transiting a 12th-mag
  Southern-hemisphere star

abstract:
  We report the discovery of WASP-5b, a Jupiter-mass planet orbiting a 12th-mag
G-type star in the Southern hemisphere. The 1.6-d orbital period places WASP-5b
in the class of very-hot Jupiters and leads to a predicted equilibrium
temperature of 1750 K. WASP-5b is the densest of any known Jovian-mass planet,
being a factor seven denser than TrES-4, which is subject to similar stellar
insolation, and a factor three denser than WASP-4b, which has a similar orbital
period. We present transit photometry and radial-velocity measurements of
WASP-5 (= USNO-B1 0487-0799749), from which we derive the mass, radius and
density of the planet: M_P = 1.58 +0.13 -0.08 M_J, R_P = 1.090 +0.094 -0.058
R_J and Rho_P = 1.22 +0.19 -0.24 Rho_J. The orbital period is P = 1.6284296
+0.0000048 -0.0000037 d and the mid-transit epoch is T_C (HJD) = 2454375.62466
+0.00026 -0.00025.


title:
Constraining a bulk viscous matter-dominated cosmological model using
  SNe Ia, CMB and LSS

abstract:
  We present and constrain a cosmological model which component is a
pressureless fluid with bulk viscosity as an explanation for the present
accelerated expansion of the universe. We study the particular model of a
constant bulk viscosity coefficient \zeta_m. The possible values of \zeta_m are
constrained using the cosmological tests of SNe Ia Gold 2006 sample, the CMB
shift parameter R from the three-year WMAP observations, the Baryon Acoustic
Oscillation (BAO) peak A from the Sloan Digital Sky Survey (SDSS) and the
Second Law of Thermodynamics (SLT). It was found that this model is in
agreement with the SLT using only the SNe Ia test. However when the model is
submitted to the three cosmological tests together (SNe+CMB+BAO) the results
are: 1.- the model violates the SLT, 2.- predicts a value of H_0 \approx 53 km
sec^{-1} Mpc^{-1} for the Hubble constant, and 3.- we obtain a bad fit to data
with a \chi^2_{min} \approx 400 (\chi^2_{d.o.f.} \approx 2.2). These results
indicate that this model is ruled out by the observations.


title:
Synthesis of Large Dynamic Concurrent Programs from Dynamic
  Specifications

abstract:
  We present a tractable method for synthesizing arbitrarily large concurrent
programs, for a shared memory model with common hardware-available primitives
such as atomic registers, compare-and-swap, load-linked/store conditional, etc.
The programs we synthesize are dynamic: new processes can be created and added
at run-time, and so our programs are not finite-state, in general.
Nevertheless, we successfully exploit automatic synthesis and model-checking
methods based on propositional temporal logic. Our method is algorithmically
efficient, with complexity polynomial in the number of component processes (of
the program) that are ``alive'' at any time. Our method does not explicitly
construct the automata-theoretic product of all processes that are alive,
thereby avoiding \intr{state explosion}. Instead, for each pair of processes
which interact, our method constructs an automata-theoretic product
(\intr{pair-machine}) which embodies all the possible interactions of these two
processes. From each pair-machine, we can synthesize a correct
\intr{pair-program} which coordinates the two involved processes as needed. We
allow such pair-programs to be added dynamically at run-time. They are then
``composed conjunctively'' with the currently alive pair-programs to
re-synthesize the program as it results after addition of the new pair-program.
We are thus able to add new behaviors, which result in new properties being
satisfied, at run-time. We establish a ``large model'' theorem which shows that
the synthesized large program inherits correctness properties from the
pair-programs.


title: Weak Ferromagnetism in Fe1-xCoxSb2

abstract:
  Weak ferromagnetism in Fe1-xCoxSb2 is studied by magnetization and Mossbauer
measurements. A small spontaneous magnetic moment of the order of 10^-3 uB
appears along the b-axis for 0.2<= x <= 0.4. Based on the structural analysis,
we argue against extrinsic sources of weak ferromagnetism. We discuss our
results in the framework of the nearly magnetic electronic structure of the
parent compound FeSb2.


title: Extended CO emission in the field of the light echo of V838 Mon

abstract:
  V838 Mon erupted at the beginning of 2002 becoming an extremely luminous star
with L=10^6 L_sun. The outburst was followed by the spectacular light echo that
revealed that the star is immersed in a diffuse and dusty medium, plausibly
interstellar in nature. Low angular resolution observations in the lowest CO
rotational transitions revealed a molecular emission from the direction of V838
Mon. The origin of this CO emission has not been established. In this paper we
investigate the idea that the molecular emission originates in the material
responsible for the optical light echo. We report on observations of 13
positions within the light echo in the two lowest rotational transitions of CO
using the IRAM 30 m telescope. Emission in CO J=1-0 and J=2-1 was detected in
three positions. In three other positions only weak J=1-0 lines were found. We
conclude that the molecular emission from the direction of V838 Mon is extended
and has a complex distribution. We identify the emission as arising from
diffuse interstellar clouds and suggest that the CO-bearing gas and the echoing
dust are collocated in the same interstellar cloud.


title: Nonlocal description of a falling body through the air

abstract:
  In this present work we consider a falling body through the air under the
influence of gravity. In particular, we consider the experimental data based
upon the free fall of six men in the atmosphere of the earth. In order to
describe this process we employ a nonlocal dissipative force. We show that our
description, by using an exponential memory kernel, can fit the experimental
data as well as that of a local dissipative force.


title: The basic geometry of Witt vectors, I: The affine case

abstract:
  We give a concrete description of the category of etale algebras over the
ring of Witt vectors of a given finite length with entries in an arbitrary
ring. We do this not only for the classical p-typical and big Witt vector
functors but also for variants of these functors which are in a certain sense
their analogues over arbitrary local and global fields. The basic theory of
these generalized Witt vectors is developed from the point of view of commuting
Frobenius lifts and their universal properties, which is a new approach even
for the classical Witt vectors. The larger purpose of this paper is to provide
the affine foundations for the algebraic geometry of generalized Witt schemes
and arithmetic jet spaces. So the basics here are developed somewhat fully,
with an eye toward future applications.


title:
Exploratory Study of the X-Ray Properties of Quasars With Intrinsic
  Narrow Absorption Lines

abstract:
  We have used archival Chandra and XMM-Newton observations of quasars hosting
intrinsic narrow UV absorption lines (intrinsic NALs) to carry out an
exploratory survey of their X-ray properties. Our sample consists of three
intrinsic-NAL quasars and one "mini-BAL" quasar, plus four quasars without
intrinsic absorption lines for comparison. These were drawn in a systematic
manner from an optical/UV-selected sample. The X-ray properties of
intrinsic-NAL quasars are indistinguishable from those of "normal" quasars. We
do not find any excess absorption in quasars with intrinsic NALs, with upper
limits of a few times 10^22 cm^-2. We compare the X-ray and UV properties of
our sample quasars by plotting the equivalent width and blueshift velocity of
the intrinsic NALs and the X-ray spectral index against the "optical-to-X-ray"
slope, alpha-ox. When BAL quasars and other AGNs with intrinsic NALs are
included, the plots suggest that intrinsic-NAL quasars form an extension of the
BAL sequences and tend to bridge the gap between BAL and "normal" quasars.
Observations of larger samples of intrinsic-NAL quasars are needed to verify
these conclusions. We also test two competing scenarios for the location of the
NAL gas in an accretion-disk wind. Our results strongly support a location of
the NAL gas at high latitudes above the disk, closer to the disk axis than the
dense BAL wind. We detect excess X-ray absorption only in Q0014+8118, which
does not host intrinsic NALs. The absorbing medium very likely corresponds to
an intervening system at z=1.1, which also produces strong absorption lines in
the rest-frame UV spectrum of this quasar. In the appendix we discuss the
connection between UV and X-ray attenuation and its effect on alpha-ox.


title: Impure AdS/CFT

abstract:
  We study momentum relaxation due to dilute, weak impurities in a strongly
coupled CFT, a truncation of the M2 brane theory. Using the AdS/CFT
correspondence, we compute the relaxation time scale as a function of the
background magnetic field B and charge density \rho. The theory admits two
different types of impurities. We find that for magnetic impurities, momentum
relaxation due to the impurity is suppressed by a background B or \rho. For
electric impurities, due to an underlying instability in the theory towards an
ordered phase, the inverse relaxation time scale increases dramatically near
\sqrt{B^2 + \rho^2/\sigma^2_0} \sim 21 T^2. We compute the Nernst response for
the impure theory, and comment on similarities with recent measurements in
superconductors.


title:
Cheap Method for Shielding a City from Rocket and Nuclear Warhead
  Impacts

abstract:
  The author suggests a cheap closed AB-Dome which protects the densely
populated cities from nuclear, chemical, biological weapon (bombs) delivered by
warheads, strategic missiles, rockets, and various incarnations of aviation
technology. The offered AB-Dome is also very useful in peacetime because it
shields a city from exterior weather and creates a fine climate within the
AB-Dome. The hemispherical AB-Dome is the inflatable, thin transparent film,
located at altitude up to as much as 15 km, which converts the city into a
closed-loop system. The film may be armored the stones which destroy the
rockets and nuclear warhead. AB-Dome protects the city in case the World
nuclear war and total poisoning the Earth atmosphere by radioactive fallout
(gases and dust). Construction of the AB-Dome is easy; the enclosure film is
spread upon the ground, the air pump is turned on, and the cover rises to its
planned altitude and supported by a small air over-pressure. The offered method
is cheaper by thousand times than protection of city by current anti-rocket
systems. The AB-Dome may be also used (height up to 15 and more kilometers) for
TV, communication, telescope, long distance location, tourism, high placed
windmills (energy), illumination and entertainments. The author developed
theory of AB-Dome, made estimation, computation and computed a typical project.
Discussion and results are in the end of article.


title: Fluid Acceleration in the Bulk Turbulence of Dilute Polymer Solutions

abstract:
  We report experimental measurements of Lagrangian accelerations in the bulk
of intense turbulent flows of dilute polymer solutions by following tracer
particles with a high-speed optical tracking system. We observed a significant
decrease in the acceleration variance in dilute polymer solutions. The shape of
the normalized acceleration probability density functions, however, remain the
same as in Newtonian water flows. We also observed an increase in the turbulent
Lagrangian acceleration autocorrelation time in these dilute polymer solutions.


title: Results from pp at 62.4 GeV and 200 GeV with the BRAHMS experiment

abstract:
  Measurements of elementary pp collisions are an integral component to
understand heavy ion collisions. Results for pp collisions at 200 and 62.4 GeV
are presented. At both energies NLO pQCD describes pion production well. The
measured pion transverse single spin asymmetries are very large at 62.4 GeV and
are reasonably well described by models relying on pQCD at transverse momenta
larger than 1 GeV/c.


title: Resonance Raman measurements of carotenoids using light emitting diodes

abstract:
  We report on the development of a compact commercial instrument for measuring
carotenoids in skin tissue. The instrument uses two light emitting diodes
(LEDs) for dual-wavelength excitation and four photomultiplier tubes for
multichannel detection. Bandpass filters are used to select the excitation and
detection wavelengths. The f/1.3 optical system has high optical throughput and
single photon sensitivity, both of which are crucial in LED-based Raman
measurements. We employ a signal processing technique that compensates for
detector drift and error. The sensitivity and reproducibility of the LED Raman
instrument compares favorably to laser-based Raman spectrometers. This compact,
portable instrument is used for non-invasive measurement of carotenoid
molecules in human skin with a repeatability better than 10%.


title:
On exchangeable random variables and the statistics of large graphs and
  hypergraphs

abstract:
  De Finetti's classical result of [18] identifying the law of an exchangeable
family of random variables as a mixture of i.i.d. laws was extended to
structure theorems for more complex notions of exchangeability by Aldous
[1,2,3], Hoover [41,42], Kallenberg [44] and Kingman [47]. On the other hand,
such exchangeable laws were first related to questions from combinatorics in an
independent analysis by Fremlin and Talagrand [29], and again more recently in
Tao [62], where they appear as a natural proxy for the `leading order
statistics' of colourings of large graphs or hypergraphs. Moreover, this
relation appears implicitly in the study of various more bespoke formalisms for
handling `limit objects' of sequences of dense graphs or hypergraphs in a
number of recent works, including Lov\'{a}sz and Szegedy [52], Borgs, Chayes,
Lov\'{a}sz, S\'{o}s, Szegedy and Vesztergombi [17], Elek and Szegedy [24] and
Razborov [54,55]. However, the connection between these works and the earlier
probabilistic structural results seems to have gone largely unappreciated. In
this survey we recall the basic results of the theory of exchangeable laws, and
then explain the probabilistic versions of various interesting questions from
graph and hypergraph theory that their connection motivates (particularly
extremal questions on the testability of properties for graphs and
hypergraphs). We also locate the notions of exchangeability of interest to us
in the context of other classes of probability measures subject to various
symmetries, in particular contrasting the methods employed to analyze
exchangeable laws with related structural results in ergodic theory, particular
the Furstenberg-Zimmer structure theorem for probability-preserving $\mathbb
{Z}$-systems, which underpins Furstenberg's ergodic-theoretic proof of
Szemer\'{e}di's Theorem. The forthcoming paper [10]--hereditarytest will make a
much more elaborate appeal to the link between exchangeable laws and dense
(directed) hypergraphs to establish various results in property testing.


title:
Phonon modulation of the spin-orbit interaction as a spin relaxation
  mechanism in quantum dots

abstract:
  We calculate the spin relaxation rates in a parabolic InSb quantum dots due
to the spin interaction with acoustical phonons. We considered the deformation
potential mechanism as the dominant electron-phonon coupling in the
Pavlov-Firsov spin-phonon Hamiltonian. By studying suitable choices of magnetic
field and lateral dot size, we determine regions where the spin relaxation
rates can be practically suppressed. We analyze the behavior of the spin
relaxation rates as a function of an external magnetic field and mean quantum
dot radius. Effects of the spin admixture due to Dresselhaus contribution to
spin-orbit interaction are also discussed.


title: Metallicity Effects on Dust Properties in Starbursting Galaxies

abstract:
  We present infrared observations of 66 starburst galaxies over a wide range
of oxygen abundances, to measure how metallicity affects their dust properties.
The data include imaging and spectroscopy from the Spitzer Space Telescope,
supplemented by groundbased near-infrared imaging. We confirm a strong
correlation of aromatic emission with metallicity, with a threshold at a
metallicity [12+log(O/H)]~8. The large scatter in both the metallicity and
radiation hardness dependence of this behavior implies that it is not due to a
single effect, but to some combination. We show that the far-infrared color
temperature of the large dust grains increases towards lower metallicity,
peaking at a metallicity of 8 before turning over. We compute dust masses and
compare them to HI masses from the literature to derive the gas to dust ratio,
which increases by nearly 3 orders of magnitude between solar metallicity and a
metallicity of 8, below which it flattens out. The abrupt change in aromatic
emission at mid-infrared wavelengths thus appears to be reflected in the
far-infrared properties, indicating that metallicity changes affect the
composition of the full range of dust grain sizes that dominate the infrared
emission. In addition, we find that the ratio L(8 micron)/L(TIR), important for
calibrating 24 micron measurements of high redshift galaxies, increases
slightly as the metallicity decreases from ~solar to ~50% of solar, and then
decreases by an order of magnitude with further decreases in metallicity.
Although the great majority of galaxies show similar patterns of behavior as
described above, there are three exceptions, SBS 0335-052E, Haro 11, and SHOC
391. Their infrared SEDs are dominated energetically by the mid-IR near 24
micron rather than by the 60 - 200 micron region. (Abridged)


title:
Discrete Littlewood-Paley-Stein theory and multi-parameter Hardy spaces
  associated with flag singular integrals

abstract:
  The main purpose of this paper is to develop a unified approach of
multi-parameter Hardy space theory using the discrete Littlewood-Paley-Stein
analysis in the setting of implicit multi-parameter structure. It is motivated
by the goal to establish and develop the Hardy space theory for the flag
singular integral operators studied by Muller-Ricci-Stein and
Nagel-Ricci-Stein. This approach enables us to avoid the use of transference
method of Coifman-Weiss as often used in the $L^p$ theory for $p>1$ and
establish the Hardy spaces $H^p_F$ and its dual spaces associated with the flag
singular integral operators for all $0<p\leq 1$. We also prove the boundedness
of flag singular integral operators on $BMO_F$ and $H^p_F$, and from $H^p_F$ to
$L^p$ for all $0<p\le 1$ without using the deep atomic decomposition. As a
result, it bypasses the use of Journe's type covering lemma in this implicit
multi-parameter structure. The method used here provides alternate approaches
of those developed by Chang, R. Fefferman, Journe and Pipher in the pure
product setting. A Calderon-Zygmund decomposition and interpolation theorem are
also proved for the implicit multi-parameter Hardy spaces.


title: Tadpole Resummations in String Theory

abstract:
  While R-R tadpoles should be canceled for consistency, string models with
broken supersymmetry generally have uncanceled NS-NS tadpoles. Their presence
signals that the background does not solve the field equations, so that these
models are in "wrong" vacua. In this letter we investigate, with reference to
some prototype examples, whether the true values of physical quantities can be
recovered resumming the NS-NS tadpoles, hence by an approach that is related to
the analysis based on String Field Theory by open-closed duality. We show that,
indeed, the positive classical vacuum energy of a Dp-brane of the bosonic
string is exactly canceled by the negative contribution arising from tree-level
tadpole resummation, in complete agreement with Sen's conjecture on open-string
tachyon condensation and with the consequent analysis based on String Field
Theory. We also show that the vanishing classical vacuum energy of the SO(8192)
unoriented bosonic open-string theory does not receive any tree-level
corrections from the tadpole resummation. This result is consistent with the
fact that this (unstable) configuration is free from tadpoles of massless
closed-string modes, although there is a tadpole of the closed string tachyon.
The application of this method to superstring models with broken supersymmetry
is also discussed.


title:
The Quadratic Gaussian Rate-Distortion Function for Source Uncorrelated
  Distortions

abstract:
  We characterize the rate-distortion function for zero-mean stationary
Gaussian sources under the MSE fidelity criterion and subject to the additional
constraint that the distortion is uncorrelated to the input. The solution is
given by two equations coupled through a single scalar parameter. This has a
structure similar to the well known water-filling solution obtained without the
uncorrelated distortion restriction. Our results fully characterize the unique
statistics of the optimal distortion. We also show that, for all positive
distortions, the minimum achievable rate subject to the uncorrelation
constraint is strictly larger than that given by the un-constrained
rate-distortion function. This gap increases with the distortion and tends to
infinity and zero, respectively, as the distortion tends to zero and infinity.


title:
Representation Class and Geometrical Invariants of Quantum States under
  Local Unitary Transformations

abstract:
  We investigate the equivalence of bipartite quantum mixed states under local
unitary transformations by introducing representation classes from a
geometrical approach. It is shown that two bipartite mixed states are
equivalent under local unitary transformations if and only if they have the
same representation class. Detailed examples are given on calculating
representation classes.


title:
Ashkin-Teller formalism for elastic response of DNA molecule to external
  force and torque

abstract:
  We propose an Ashkin-Teller like model for elastic response of DNA molecule
to external force and torque. The base-stacking interaction is described in a
simple and uniform way. We obtain the phase diagram of dsDNA, and in
particular, the transition from B form to the S state induced by stretching and
twisting. The elastic response of the ssDNA is presented also in a unified
formalism. The close relation of dsDNA molecule structure with elastic response
is shown clearly. The calculated folding angle of the dsDNA molecule is
$59.2^o$.


title:
A Complete Set of Local Invariants for a Family of Multipartite Mixed
  States

abstract:
  We study the equivalence of quantum states under local unitary
transformations by using the singular value decomposition. A complete set of
invariants under local unitary transformations is presented for several classes
of tripartite mixed states in KxMxN composite systems. Two density matrices in
the same class are equivalent under local unitary transformations if and only
if all these invariants have equal values for these density matrices.


title: The Formation of Galaxy Disks

abstract:
  We present a new set of multi-million particle SPH simulations of the
formation of disk dominated galaxies in a cosmological context. Some of these
galaxies are higher resolution versions of the models already described in
Governato et al (2007). To correctly compare simulations with observations we
create artificial images of our simulations and from them measure photometric
Bulge to Disk (B/D) ratios and disk scale lengths. We show how feedback and
high force and mass resolution are necessary ingredients to form galaxies that
have flatter rotation curves, larger I band disk scale lengths and smaller B/D
ratios. A new simulated disk galaxy has an I-band disk scale length of 9.2 kpc
and a B/D flux ratio of 0.64 (face on, dust reddened).


title: A Search for Dark Matter Annihilation with the Whipple 10m Telescope

abstract:
  We present observations of the dwarf galaxies Draco and Ursa Minor, the local
group galaxies M32 and M33, and the globular cluster M15 conducted with the
Whipple 10m gamma-ray telescope to search for the gamma-ray signature of
self-annihilating weakly interacting massive particles (WIMPs) which may
constitute astrophysical dark matter (DM). We review the motivations for
selecting these sources based on their unique astrophysical environments and
report the results of the data analysis which produced upper limits on excess
rate of gamma rays for each source. We consider models for the DM distribution
in each source based on the available observational constraints and discuss
possible scenarios for the enhancement of the gamma-ray luminosity. Limits on
the thermally averaged product of the total self-annihilation cross section and
velocity of the WIMP, <\sigma v>, are derived using conservative estimates for
the magnitude of the astrophysical contribution to the gamma-ray flux. Although
these limits do not constrain predictions from the currently favored
theoretical models of supersymmetry (SUSY), future observations with VERITAS
will probe a larger region of the WIMP parameter phase space, <\sigma v> and
WIMP particle mass (m_\chi).


title: On the breakdown criterion in General Relativity

abstract:
  We give a geometric criterion for the breakdown of an Einstein vacuum
space-time foliated by a constant mean curvature, or maximal, foliation. More
precisely we show that the foliated space-time can be extended as long as the
the second fundamental form and the first derivatives of the logarithm of the
lapse of the foliation remain uniformly bounded. No restrictions on the size of
the initial data are made.


title:
Multifractal analysis of Chinese stock volatilities based on partition
  function approach

abstract:
  We have performed detailed multifractal analysis on the minutely volatility
of two indexes and 1139 stocks in the Chinese stock markets based on the
partition function approach. The partition function $\chi_q(s)$ scales as a
power law with respect to box size $s$. The scaling exponents $\tau(q)$ form a
nonlinear function of $q$. Statistical tests based on bootstrapping show that
the extracted multifractal nature is significant at the 1% significance level.
The individual securities can be well modeled by the $p$-model in turbulence
with $p = 0.40 \pm 0.02$. Based on the idea of ensemble averaging (including
quenched and annealed average), we treat each stock exchange as a whole and
confirm the existence of multifractal nature in the Chinese stock markets.


title:
Nambu-Goldstone and Massive Modes in Gravitational Theories with
  Spontaneous Lorentz Breaking

abstract:
  Spontaneous breaking of local Lorentz symmetry is of interest as a possible
mechanism originating from physics at the Planck scale. If such breaking
occurs, however, it raises the questions of what the fate of the
Nambu-Goldstone modes is, whether a Higgs mechanism can occur, and whether
additional massive modes (analogous to the Higgs particle) can appear. A
summary of some recent work looking at these questions is presented here.


title: Observation of Enhanced Beaming from Photonic Crystal Waveguides

abstract:
  We report on the experimental observation of the beaming effect in photonic
crystals enhanced via surface modes. We experimentally map the spatial field
distribution of energy emitted from a subwavelength photonic crystal waveguide
into free-space, rendering with crisp clarity the diffractionless beaming of
energy. Our experimental data agree well with our numerical studies of the
beaming enhancement in photonic crystals with modulated surfaces. Without loss
of generality, we study the beaming effect in a photonic crystal scaled to
microwave frequencies and demonstrate the technological capacity to deliver
long-range, wavelength-scaled beaming of energy.


title: Extended Pair Approximation of Evolutionary Game on Complex Networks

abstract:
  We investigate how network structure influences evolutionary games on
networks. We extend the pair approximation to study the effects of degree
fluctuation and clustering of the network. We find that a larger fluctuation of
the degree is equivalent to a larger mobility of the players. In addition, a
larger clustering coefficient is equivalent to a smaller number of neighbors.


title:
Screening in 2D: GW calculations for surfaces and thin films using the
  repeated-slab approach

abstract:
  In the context of photoelectron spectroscopy, the $GW$ approach has developed
into the method of choice for computing excitation spectra of weakly correlated
bulk systems and their surfaces. To employ the established computational
schemes that have been developed for three-dimensional crystals,
two-dimensional systems are typically treated in the repeated-slab approach. In
this work we critically examine this approach and identify three important
aspects for which the treatment of long-range screening in two dimensions
differs from the bulk: (1) anisotropy of the macroscopic screening (2) $\mathbf
k$-point sampling parallel to the surface (3) periodic repetition and slab-slab
interaction. For prototypical semiconductor (silicon) and ionic (NaCl) thin
films we quantify the individual contributions of points (1) to (3) and develop
robust and efficient correction schemes derived from the classic theory of
dielectric screening.


title:
On Breaching Enterprise Data Privacy Through Adversarial Information
  Fusion

abstract:
  Data privacy is one of the key challenges faced by enterprises today.
Anonymization techniques address this problem by sanitizing sensitive data such
that individual privacy is preserved while allowing enterprises to maintain and
share sensitive data. However, existing work on this problem make inherent
assumptions about the data that are impractical in day-to-day enterprise data
management scenarios. Further, application of existing anonymization schemes on
enterprise data could lead to adversarial attacks in which an intruder could
use information fusion techniques to inflict a privacy breach. In this paper,
we shed light on the shortcomings of current anonymization schemes in the
context of enterprise data. We define and experimentally demonstrate Web-based
Information- Fusion Attack on anonymized enterprise data. We formulate the
problem of Fusion Resilient Enterprise Data Anonymization and propose a
prototype solution to address this problem.


title:
Particle size and cooling field dependence of exchange bias in
  core/shell magnetic nanoparticles

abstract:
  We present a numerical simulation study of the exchange bias (EB) effect in
nanoparticles with core/shell structure aimed to unveil the microscopic origin
of some of the experimental phenomenology associated to this effect. In
particular, we have focused our study on the particle size and field cooling
dependence of the hysteresis loop shifts. To this end, hysteresis loops after a
field cooling process have been computed by means of Monte Carlo simulations
based on a model that takes into account the peculiar properties of the core,
shell and interfacial regions of the particle and the EB and coercive fields
have been extracted from them. The results show that, as a general trend, the
EB field $h_{EB}$ decreases with increasing particle size, in agreement with
some experimental observations. However, closer inspection reveals notable
oscillations of $h_{EB}$ as a function of the particle radius which we show to
be closely related to the net magnetization established after field cooling at
the interfacial shell spins. For a particle with ferromagnetic interface
coupling, we show that the magnitude and sign of $h_{EB}$ can be varied with
the magnetic field applied during the cooling process.


title: A non-separable Christensen's theorem and set tri-quotient maps

abstract:
  For every space $X$ let $\mathcal K(X)$ be the set of all compact subsets of
$X$. Christensen \cite{c:74} proved that if $X, Y$ are separable metrizable
spaces and $F\colon\mathcal{K}(X)\to\mathcal{K}(Y)$ is a monotone map such that
any $L\in\mathcal{K}(Y)$ is covered by $F(K)$ for some $K\in\mathcal{K}(X)$,
then $Y$ is complete provided $X$ is complete. It is well known \cite{bgp} that
this result is not true for non-separable spaces. In this paper we discuss some
additional properties of $F$ which guarantee the validity of Christensen's
result for more general spaces.


title:
Achieving the Quadratic Gaussian Rate-Distortion Function for Source
  Uncorrelated Distortions

abstract:
  We prove achievability of the recently characterized quadratic Gaussian
rate-distortion function (RDF) subject to the constraint that the distortion is
uncorrelated to the source. This result is based on shaped dithered lattice
quantization in the limit as the lattice dimension tends to infinity and holds
for all positive distortions. It turns out that this uncorrelated distortion
RDF can be realized causally. This feature, which stands in contrast to
Shannon's RDF, is illustrated by causal transform coding. Moreover, we prove
that by using feedback noise shaping the uncorrelated distortion RDF can be
achieved causally and with memoryless entropy coding. Whilst achievability
relies upon infinite dimensional quantizers, we prove that the rate loss
incurred in the finite dimensional case can be upper-bounded by the space
filling loss of the quantizer and, thus, is at most 0.254 bit/dimension.


title:
Dynamics of a sphere with inhomogeneous slip boundary conditions in
  Stokes flow

abstract:
  The dynamic resistance of a sphere with a general inhomogeneous slip boundary
condition is analysed in Newtonian unbounded uniform flow at low Reynolds
number. The boundary condition is treated as a perturbation to a homogeneous
sphere, assuming that the slip length magnitude b is much smaller than the
sphere radius a. To first order, the effect of inhomogeneous slip is the same
as that of a radial deformity of magnitude b. Full resistance tensors are
presented and the dynamics of a hemispherical inhomogeneous sphere, such as a
Janus particle, are explicitly calculated.


title:
Extension of Matrices with Entries in H^{\infty} on Coverings of Riemann
  Surfaces of Finite Type

abstract:
  In the present paper continuing our previous work we prove an extension
theorem for matrices with entries in the algebra of bounded holomorphic
functions defined on an unbranched covering of a Caratheodory hyperbolic
Riemann surface of finite type.


title: Probability measures and Milyutin maps between metric spaces

abstract:
  We prove that the functor $\Hat{P}$ of Radon probability measures transforms
any open map between completely metrizable spaces into a soft map. This result
is applied to establish some properties of Milyutin maps between completely
metrizable spaces.


title: Inflation by non-minimal coupling

abstract:
  Inflationary scenarios based on simple non-minimal coupling and its
generalizations are studied. Generalizing the form of non-minimal coupling to
"K(phi)R" with an arbitrary function K(phi), we show that the flat potential
still is obtainable when V(phi)/K^2(phi) is asymptotically constant. Very
interestingly, if the ratio of the dimensionless self-coupling constant of the
inflaton field and the non-minimal coupling constant is small the cosmological
observables for general monomial cases are in good agreement with recent
observational data.


title:
Quantum dynamics in electron-nuclei coupled spin system in quantum dots:
  Bunching, revival, and quantum correlation in electron-spin measurements

abstract:
  We investigate quantum dynamics in the electron-nuclei coupled spin system in
quantum dots and clarify the fundamental features of quantum correlation
induced via successive electron spin measurements. This quantum correlation
leads to interesting phenomena such as the bunching of outcomes in the electron
spin measurements and the revival of an arbitrary initial electron spin state.
The nuclear spin system is also affected by the quantum correlation and is in
fact squeezed via conditional measurements or postselection. This squeezing is
confirmed by calculating the increase in the purity of the nuclear spin system.
Thus the successive electron spin measurements provide a probabilistic method
to squeeze the nuclear spin system. These new features are predicted not only
for the case of a double quantum dots occupied by a pair of electrons but also
for the case of a single quantum dot occupied by a single electron or a pair of
electrons.


title: Bilinear Mixed Effects Models For Relations Between Universities

abstract:
  this article illustrates the use of linear and bilinear random effects models
to represent statistical dependencies that often characterize dyadic data such
as international relations. In particular, we show how to estimate models for
dyadic data that simultaneously take into account: regressor variables and
third-order dependencies, such as transitivity, clustering, and balance. We
apply this new approach to the relations among ph.d. of university in Iran over
the period from 1991-2005, illustrating the presence and strength of second and
third-order statistical dependencies in these data.


title:
Vacuum structure revealed by over-improved stout-link smearing compared
  with the overlap analysis for quenched QCD

abstract:
  A detailed comparison is made between the topological structure of quenched
QCD as revealed by the recently proposed over-improved stout-link smearing in
conjunction with an improved gluonic definition of the topological density on
one hand and a similar analysis made possible by the overlap-fermionic
topological charge density both with and without variable ultraviolet cutoff
$\lambda_{cut}$. The matching is twofold, provided by fitting the
density-density two-point functions on one hand and by a point-by-point fitting
of the topological densities according to the two methods. We point out the
similar cluster structure of the topological density for moderate smearing and
$200 \mathrm{MeV} < \lambda_{cut} < 600 \mathrm{MeV}$, respectively. We
demonstrate the relation of the gluonic topological density for extensive
smearing to the location of the overlap zero modes and the lowest overlap
non-zero mode as found for the unsmeared configurations.


title:
Higher dimensional Yang-Mills black holes in third order Lovelock
  gravity

abstract:
  By employing the higher (N\TEXTsymbol{>}5) dimensional version of the Wu-Yang
Ansatz we obtain magnetically charged new black hole solutions in the
Einstein-Yang-Mills-Lovelock (EYML) theory with second ($\alpha_{2}$) and third
($\alpha_{3}$)order parameters. These parameters, where $\alpha_{2}$ is also
known as the Gauss-Bonnet parameter, modify the horizons (and the resulting
thermodynamical properties) of the black holes. It is shown also that
asymptotically ($r\to \infty $), these parameters contribute to an effective
cosmological constant -without cosmological constant- so that the solution
behaves de-Sitter (Anti de-Sitter) like.


title:
Does Fluctuating Nonlinear Hydrodynamics Support an Ergodic-Nonergodic
  Transition?

abstract:
  Despite its appeal, real and simulated glass forming systems do not undergo
an ergodic-nonergodic (ENE) transition. We reconsider whether the fluctuating
nonlinear hydrodynamics (FNH) model for this system, introduced by us in 1986,
supports an ENE transition. Using nonperturbative arguments, with no reference
to the hydrodynamic regime, we show that the FNH model does not support an ENE
transition. Our results support the findings in the original paper. Assertions
in the literature questioning the validity of the original work are shown to be
in error.


title:
The two-component physics in cuprates in the real space and in the
  momentum representation

abstract:
  Gradual evolution of two phase coexistence between dynamical and static
regimes in cuprates is first investigated in the real space by making use of
the available neutron scattering, NMR and mSR data. Analysis of the Hall effect
and the ARPES spectra reveals the presence of two groups of charge carriers in
LSCO. The T-dependent component is due to the thermal activation of bound
electron-hole structures seen near antinodal points in the Brillouin zone, thus
introducing the two-component physics also for the momentum representation.
Interpretation of so-called "van Hove bands" undergoes drastic changes.
Importance of the findings for pseudo-gap physics is stressed. Relation to some
recent STM and STS results is discussed.


title:
Spin alignment measurements of the $K^{*0}(892)$ and $\phi(1020)$ vector
  mesons at RHIC

abstract:
  We present the first spin alignment measurements for the $K^{*0}(892)$ and
$\phi(1020)$ vector mesons produced at mid-rapidity with transverse momenta up
to 5 GeV/c at $\sqrt{s_{NN}}$ = 200 GeV at RHIC. The diagonal spin density
matrix elements with respect to the reaction plane in Au+Au collisions are
$\rho_{00}$ = 0.32 $\pm$ 0.04 (stat) $\pm$ 0.09 (syst) for the $K^{*0}$
($0.8<p_T<5.0$ GeV/c) and $\rho_{00}$ = 0.34 $\pm$ 0.02 (stat) $\pm$ 0.03
(syst) for the $\phi$ ($0.4<p_T<5.0$ GeV/c), and are constant with transverse
momentum and collision centrality. The data are consistent with the unpolarized
expectation of 1/3 and thus no evidence is found for the transfer of the
orbital angular momentum of the colliding system to the vector meson spins.
Spin alignments for $K^{*0}$ and $\phi$ in Au+Au collisions were also measured
with respect to the particle's production plane. The $\phi$ result, $\rho_{00}$
= 0.41 $\pm$ 0.02 (stat) $\pm$ 0.04 (syst), is consistent with that in p+p
collisions, $\rho_{00}$ = 0.39 $\pm$ 0.03 (stat) $\pm$ 0.06 (syst), also
measured in this work. The measurements thus constrain the possible size of
polarization phenomena in the production dynamics of vector mesons.


title: Extreme Value Statistics of Eigenvalues of Gaussian Random Matrices

abstract:
  We compute exact asymptotic results for the probability of the occurrence of
large deviations of the largest (smallest) eigenvalue of random matrices
belonging to the Gaussian orthogonal, unitary and symplectic ensembles. In
particular, we show that the probability that all the eigenvalues of an (NxN)
random matrix are positive (negative) decreases for large N as ~\exp[-\beta
\theta(0) N^2] where the Dyson index \beta characterizes the ensemble and the
exponent \theta(0)=(\ln 3)/4=0.274653... is universal. We compute the
probability that the eigenvalues lie in the interval [\zeta_1,\zeta_2] which
allows us to calculate the joint probability distribution of the minimum and
the maximum eigenvalue. As a byproduct, we also obtain exactly the average
density of states in Gaussian ensembles whose eigenvalues are restricted to lie
in the interval [\zeta_1,\zeta_2], thus generalizing the celebrated Wigner
semi-circle law to these restricted ensembles. It is found that the density of
states generically exhibits an inverse square-root singularity at the location
of the barriers. These results are confirmed by numerical simulations.


title: Proof mining in ${\mathbb R}$-trees and hyperbolic spaces

abstract:
  This paper is part of the general project of proof mining, developed by
Kohlenbach. By "proof mining" we mean the logical analysis of mathematical
proofs with the aim of extracting new numerically relevant information hidden
in the proofs.
  We present logical metatheorems for classes of spaces from functional
analysis and hyperbolic geometry, like Gromov hyperbolic spaces, ${\mathbb
R}$-trees and uniformly convex hyperbolic spaces. Our theorems are adaptations
to these structures of previous metatheorems of Gerhardy and Kohlenbach, and
they guarantee a-priori, under very general logical conditions, the existence
of uniform bounds.
  We give also an application in nonlinear functional analysis, more
specifically in metric fixed-point theory. Thus, we show that the uniform bound
on the rate of asymptotic regularity for the Krasnoselski-Mann iterations of
nonexpansive mappings in uniformly convex hyperbolic spaces obtained in a
previous paper is an instance of one of our metatheorems.


title:
Three-Body Recombination of Identical Bosons with a Large Positive
  Scattering Length at Nonzero Temperature

abstract:
  For identical bosons with a large scattering length, the dependence of the
3-body recombination rate on the collision energy is determined in the
zero-range limit by universal functions of a single scaling variable. There are
six scaling functions for angular momentum zero and one scaling function for
each higher partial wave. We calculate these universal functions by solving the
Skorniakov--Ter-Martirosian equation. The results for the 3-body recombination
as a function of the collision energy are in good agreement with previous
results from solving the 3-body Schroedinger equation for 4He atoms. The
universal scaling functions can be used to calculate the 3-body recombination
rate at nonzero temperature. We obtain an excellent fit to the data from the
Innsbruck group for 133Cs atoms with a large positive scattering length.


title:
An explicit integral polynomial whose splitting field has Galois group
  W(E_8)

abstract:
  Using the principle that characteristic polynomials of matrices obtained from
elements of a reductive group over a number field typically have splitting
field with Galois group isomorphic to its Weyl group, we construct an explicit
monic integral polynomial of degree 240 whose splitting field has Galois group
the Weyl group of the exceptional group of type E_8.


title: The Volume Inside a Black Hole

abstract:
  The horizon (the surface) of a black hole is a null surface, defined by those
hypothetical "outgoing" light rays that just hover under the influence of the
strong gravity at the surface. Because the light rays are orthogonal to the
spatial 2-dimensional surface at one instant of time, the surface of the black
hole is the same for all observers (i.e. the same for all coordinate
definitions of "instant of time"). This value is 4*(pi)* (2Gm/c^2)^2 for
nonspinning black holes, with G= Newton's constant, c= speed of light, and m=
mass of the black hole.
  The 3-dimensional spatial volume inside a black hole, in contrast, depends
explicitly on the definition of time, and can even be time dependent, or zero.
We give examples of the volume found inside a standard, nonspinning spherical
black hole, for several different standard time-coordinate definitions.
Elucidating these results for the volume provides a new pedagogical resource of
facts already known in principle to the relativity community, but rarely worked
out.


title: Geometric structures of the classical general relativistic phase space

abstract:
  This paper is concerned with basic geometric properties of the phase space of
a classical general relativistic particle, regarded as the 1st jet space of
motions, i.e. as the 1st jet space of timelike 1--dimensional submanifolds of
spacetime.
  This setting allows us to skip constraints.
  Our main goal is to determine the geometric conditions by which the Lorentz
metric and a connection of the phase space yield contact and Jacobi structures.
  In particular, we specialise these conditions to the cases when the
connection of the phase space is generated by the metric and an additional
tensor.
  Indeed, the case generated by the metric and the electromagnetic field is
included, as well.


title:
A Central Limit Theorem for the SNR at the Wiener Filter Output for
  Large Dimensional Signals

abstract:
  Consider the quadratic form $\beta = {\bf y}^* ({\bf YY}^* + \rho {\bf
I})^{-1} {\bf y}$ where $\rho$ is a positive number, where ${\bf y}$ is a
random vector and ${\bf Y}$ is a $N \times K$ random matrix both having
independent elements with different variances, and where ${\bf y}$ and ${\bf
Y}$ are independent. Such quadratic forms represent the Signal to Noise Ratio
at the output of the linear Wiener receiver for multi dimensional signals
frequently encountered in wireless communications and in array processing.
Using well known results of Random Matrix Theory, the quadratic form $\beta$
can be approximated with a known deterministic real number $\bar\beta_K$ in the
asymptotic regime where $K\to\infty$ and $K/N \to \alpha > 0$. This paper
addresses the problem of convergence of $\beta$. More specifically, it is shown
here that $\sqrt{K}(\beta - \bar\beta_K)$ behaves for large $K$ like a Gaussian
random variable which variance is provided.


title: Extensions to Network Flow Interdiction on Planar Graphs

abstract:
  Network flow interdiction analysis studies by how much the value of a maximum
flow in a network can be diminished by removing components of the network
constrained to some budget. Although this problem is strongly NP-complete on
general networks, pseudo-polynomial algorithms were found for planar networks
with a single source and a single sink and without the possibility to remove
vertices. In this work we introduce pseudo-polynomial algorithms which overcome
some of the restrictions of previous methods. We propose a planarity-preserving
transformation that allows to incorporate vertex removals and vertex capacities
in pseudo-polynomial interdiction algorithms for planar graphs. Additionally, a
pseudo-polynomial algorithm is introduced for the problem of determining the
minimal interdiction budget which is at least needed to make it impossible to
satisfy the demand of all sink nodes, on planar networks with multiple sources
and sinks satisfying that the sum of the supplies at the source nodes equals
the sum of the demands at the sink nodes. Furthermore we show that the
k-densest subgraph problem on planar graphs can be reduced to a network flow
interdiction problem on a planar graph with multiple sources and sinks and
polynomially bounded input numbers. However it is still not known if either of
these problems can be solved in polynomial time.


title: Arsenite sorption and co-precipitation with calcite

abstract:
  Sorption of As(III) by calcite was investigated as a function of As(III)
concentration, time and pH. The sorption isotherm, i.e. the log As(III) vs. log
[As(OH)3 degrees / Assat] plot is S-shaped and has been modelled on an extended
version of the surface precipitation model. At low concentrations, As(OH)3
degrees is adsorbed by complexation to surface Ca surface sites, as previously
described by the X-ray standing wave technique. The inflexion point of the
isotherm, where As(OH)3 degrees is limited by the amount of surface sites (ST),
yields 6 sites nm-2 in good agreement with crystallographic data. Beyond this
value, the amount of sorbed arsenic increases linearly with solution
concentration, up to the saturation of arsenic with respect to the
precipitation of CaHAsO3(s). The solid solutions formed in this concentration
range were examined by X-ray and neutron diffraction. The doped calcite lattice
parameters increase with arsenic content while c/a ratio remains constant. Our
results made on bulk calcite on the atomic displacement of As atoms along
[0001] direction extend those published by Cheng et al., (1999) on calcite
surface. This study provides a molecular-level explanation for why As(III) is
trapped by calcite in industrial treatments.


title: Geometry of Quasi-Free States of CCR Algebras

abstract:
  Geometric positions of square roots of quasi-free states of CCR algebras are
investigated together with an explicit formula for transition amplitudes among
them.


title: Third virial coefficient for 4-arm and 6-arm star polymers

abstract:
  We discuss the computation of the third virial coefficient in polymer
systems, focusing on an additional contribution absent in the case of
monoatomic fluids. We determine the interpenetration ratio and several
quantities that involve the third virial coefficient for star polymers with 4
and 6 arms in the good-solvent regime, in the limit of a large degree of
polymerization.


title:
Adsorption of Indium on a InAs wetting layer deposited on the GaAs(001)
  surface

abstract:
  In this work we perform a first-principles study of the adsorption properties
of an In adatom deposited on 1.75 monolayers (ML) InAs, forming a wetting layer
on GaAs$(001)$ with the $\alpha_2 (2\times4)$ or $\beta_2 (2\times4)$
reconstruction. The structural properties of these reconstructions have been
studied: we determine the equilibrium geometry of the surfaces and their
stability for various growth conditions. We have then carried out a detailed
study of the potential energy surface (PES) for an In adsorbate, finding the
minima and the saddle points. The main characteristics of the PES and the
bonding configurations of the In adatom on the surface are analyzed by
comparing with analogous studies reported in the literature, trying to extract
the effects due to: (i) the compressive strain to which the InAs adlayer is
subjected, (ii) the particular surface reconstruction, and (iii) the wetting
layer composition. We found that, in general, stable adsorption sites are
located at: (i) locations besides the As in-dimers, (ii) positions bridging two
As in-dimers, (iii) between two adjacent ad-dimers (only in $\beta_2$), and
(iv) locations bridging two As ad-dimers. We find also other shallower
adsorption sites which are more reconstruction specific due to the lower
symmetry of the $\alpha_2$ reconstruction compared to the $\beta_2$
reconstruction.


title:
On 4n-dimensional Lie groups as quasi-Kaehler manifolds with Killing
  Norden metric

abstract:
  A 4n-parametric family of 4n-dimensional quasi-Kaehler manifolds with Killing
Norden metric is constructed on a Lie group. This family is characterized
geometrically.


title: Temperature Effects in a Fermi Gas with Population Imbalance

abstract:
  We investigate temperature effects in a Fermi gas with imbalanced spin
populations. From the general expression of the thermal gap equation we find,
in {\it weak coupling limit}, an analytical expression for the transition
temperature $T_c$ as a function of various possibilities of chemical potential
and mass asymmetries between the two particle species. For a range of asymmetry
between certain specific values, this equation always has two solutions for
$T_c$ which has been interpreted as a reentrant phenomena or a pairing induced
by temperature effect. We show that the lower $T_c$ is never related to a
stable solution. The same results are obtained in {\it strong coupling limit}.
The thermodynamical potential is carefully analyzed to avoid the consideration
of the unstable solutions. We also obtain the tricritical points for the
chemical potential and mass imbalanced cases, and beyond these points we
properly minimize the thermodynamic potential to find the stable and metastable
first order transition lines.

categories: cond-mat.str-el cond-mat.supr-con hep-ph nucl-th


title: Acyclic Edge Coloring of Graphs with Maximum Degree 4

abstract:
  An $acyclic$ edge coloring of a graph is a proper edge coloring such that
there are no bichromatic cycle s. The \emph{acyclic chromatic index} of a graph
is the minimum number k such that there is an acyclic e dge coloring using k
colors and is denoted by $a'(G)$. It was conjectured by Alon, Sudakov and Zaks
that for any simple and finite graph $G$, $a'(G)\le \Delta+2$, where $\Delta
=\Delta(G)$ denotes the maximum degree of $G$. We prove the conjecture for
connected graphs with $\Delta(G) \le 4$, with the additional restriction that
$m \le 2n-1$, where $n$ is the number of vertices and $m$ is the number of
edges in $G $. Note that for any graph $G$, $m \le 2n$, when $\Delta(G) \le 4$.
It follows that for any graph $G$ if $\Delta(G) \le 4$, then $a'(G) \le 7$.


title: On the H^1-L^1 boundedness of operators

abstract:
  We prove that if q is in (1,\infty), Y is a Banach space and T is a linear
operator defined on the space of finite linear combinations of (1,q)-atoms in
R^n which is uniformly bounded on (1,q)-atoms, then T admits a unique
continuous extension to a bounded linear operator from H^1(R^n) to Y. We show
that the same is true if we replace (1,q)-atoms with continuous
(1,\infty)-atoms. This is known to be false for (1,\infty)-atoms.


title:
Bosonized Quantum Hamiltonian of the Two-Dimensional Derivative-Coupling
  Model

abstract:
  Using the operator formulation we discuss the bosonization of the
two-dimensional derivative-coupling model. The fully bosonized quantum
Hamiltonian is obtained by computing the composite operators as the leading
terms in the Wilson short distance expansion for the operator products at the
same point. In addition, the quantum Hamiltonian contains topological terms
which give trivial contributions to the equations of motion. Taking into
account the quantum corrections to the bosonic equations of motion and to the
scale dimension of the Fermi field operator, the operator solution is obtained
in terms of a generalized Mandelstam soliton operator with continuous Lorentz
spin (generalized statistics).


title:
Bistable and dynamic states of parametrically excited ultrasound in a
  fluid-filled cavity

abstract:
  In this paper we have considered the problem of parametric sound generation
in an acoustic resonator flled with a fluid, taking explicitely into account
the influence of the nonlinearly generated second harmonic. A simple model is
presented, and its stationary solutions obtained. The main feature of these
solutions is the appearance of bistable states of the fundamental field
resulting from the coupling to the second harmonic. An experimental setup was
designed to check the predictions of the theory. The results are consistent
with the predicted values for the mode amplitudes and parametric thresholds. At
higher driving values a self-modulation of the amplitudes is observed. We
identify this phenomenon with a secondary instability previously reported in
the frame of the theoretical model.


title: On small tension p-branes

abstract:
  This paper deals with p-branes with small but non-zero tension. We prove the
existence of canonical transformations, within a perturbation theory, that link
specific geometries of p-branes to solvable theories, namely string-like and
particle-like theories. The specific shapes correspond to stretched
configurations. For configurations linked to string-like theories one will upon
quantization get a critical dimension of (25+p).


title: Preserving positive polynomials and beyond

abstract:
  Following the classical approach of P\'olya-Schur theory we initiate in this
paper the study of linear operators acting on $\mathbb{R}[x]$ and preserving
either the set of positive univariate polynomials or similar sets of
non-negative and elliptic polynomials.


title:
Superconducting non-equilibrium transport through a weakly interacting
  quantum dot

abstract:
  We study the out-of-equilibrium current through an interacting quantum dot
modelled as an Anderson impurity contacted by two BCS superconductors held at
fixed voltage bias. In order to account for multiple Andreev reflections, we
develop a Keldysh Green's function scheme perturbative in the dot's interaction
strength. We find an unexpected enhancement of the current due to repulsive
interactions for small lead-to-dot couplings.


title: Exact solution of the Landau-Lifshitz equation in a plane wave

abstract:
  The Landau-Lifshitz form of the Lorentz-Abraham-Dirac equation in the
presence of a plane wave of arbitrary shape and polarization is solved exactly
and in closed form. The explicit solution is presented in the particular,
paradigmatic cases of a constant crossed field and of a monochromatic wave with
circular and with linear polarization.


title: Q-deformation, discrete time and quantum information as fiber space

abstract:
  In this paper we show the connection between the q-deformation and discrete
time, starting from the q-deformed Heisenberg uncertainty relation and
q-deformation calculus. We show that time has discrete nature and for this case
we construct the connection between quantum information and spacetime via fiber
space structure.


title: Path Integral Ground State study of 2D solid 4He

abstract:
  We have studied a two-dimensional triangular commensurate crystal of 4He with
the exact T=0 K Path Integral Ground State (PIGS) Monte Carlo method. We have
projected onto the true ground state both a Jastrow-Nosanow wave function, in
which equilibrium positions are explicitly given and no Bose-Einstein (BEC) is
present, and a translationally invariant shadow wave function, in which the
solid phase emerges through a spontaneously broken symmetry process and it has
BEC. We find a remarkable convergence to the same properties, both the diagonal
ones as well as the off-diagonal one-body density matrix rho_1. This supplies a
strong evidence that no variational bias are present in the PIGS method. We
find no BEC in the commensurate 2D 4He crystal at T=0 K, rho_1 shows an
exponential decay in the large distance range. The structure found in rho_1 is
due to virtual vacancy--interstitial pairs and this shows up in the momentum
distribution.


title: Affine Poisson Groups and WZW Model

abstract:
  We give a detailed description of a dynamical system which enjoys a
Poisson-Lie symmetry with two non-isomorphic dual groups. The system is
obtained by taking the $q\to\infty$ limit of the q-deformed WZW model and the
understanding of its symmetry structure results in uncovering an interesting
duality of its exchange relations.


title: The Coincidence Problem and Interacting Holographic Dark Energy

abstract:
  We study the dynamical behaviour of the interacting holographic dark energy
model whose interaction term is $Q=3H(\lam_d\rho_d + \lam_c\rho_c)$, where
$\rho_d$ and $\rho_c$ are the energy density of dark energy and CDM
respectively. To satisfy the observational constraints from SNIa, CMB shift
parameter and BAO measurement, if $\lam_c = \lam_d$ or $\lam_d, \lam_c >0$, the
cosmic evolution will only reach the attractor in the future and the ratio
$\rho_c/\rho_d$ cannot be slowly varying at present. Since the cosmic attractor
can be reached in the future even when the present values of the cosmological
parameters do not satisfy the observational constraints, the coincidence
problem is not really alleviated in this case. However, if $\lam_c \neq \lam_d$
and they are allowed to be negative, the ratio $\rho_c/\rho_d$ can be slowly
varying at present and the cosmic attractor can be reached near the present
epoch. Hence, the alleviation of the coincidence problem is attainable in this
case. The alleviation of coincidence problem in this case is still attainable
when confronting this model to SDSS data.


title:
New technique for replica symmetry breaking with application to the
  SK-model at and near T=0

abstract:
  We describe a novel method which allows the treatment of high orders of
replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly,
without a need for approximations or scaling assumptions. It yields the low
temperature order function q(a,T) in the full range $0\leq a <\infty$ and is
complete in the sense that all observables can be calculated from it. The
behavior of some observables and the finite RSB theory itself is analyzed as
one approaches continuous RSB. The validity and applicability of the
traditional continuous formulation is then scrutinized and a new continuous RSB
formulation is proposed.


title: Master equation - tutorial approach

abstract:
  We do not present any original or new material. This is a tutorial addressed
to students who need to study the microscopic derivation of the
quantum-mechanical master equation encountered in many practical physical
situations.


title:
A new transform for solving the noisy complex exponentials approximation
  problem

abstract:
  The problem of estimating a complex measure made up by a linear combination
of Dirac distributions centered on points of the complex plane from a finite
number of its complex moments affected by additive i.i.d. Gaussian noise is
considered. A random measure is defined whose expectation approximates the
unknown measure under suitable conditions. An estimator of the approximating
measure is then proposed as well as a new discrete transform of the noisy
moments that allows to compute an estimate of the unknown measure. A small
simulation study is also performed to experimentally check the goodness of the
approximations.


title:
Synchronization in Complex Systems Following the Decision Based Queuing
  Process: The Rhythmic Applause as a Test Case

abstract:
  Living communities can be considered as complex systems, thus a fertile
ground for studies related to their statistics and dynamics. In this study we
revisit the case of the rhythmic applause by utilizing the model proposed by
V\'azquez et al. [A. V\'azquez et al., Phys. Rev. E 73, 036127 (2006)]
augmented with two contradicted {\it driving forces}, namely: {\it
Individuality} and {\it Companionship}. To that extend, after performing
computer simulations with a large number of oscillators we propose an
explanation on the following open questions (a) why synchronization occurs
suddenly, and b) why synchronization is observed when the clapping period
($T_c$) is $1.5 \cdot T_s < T_c < 2.0 \cdot T_s$ ($T_s$ is the mean self period
of the spectators) and is lost after a time. Moreover, based on the model, a
weak preferential attachment principle is proposed which can produce complex
networks obeying power law in the distribution of number edges per node with
exponent greater than 3.


title:
Scorza quartics of trigonal spin curves and their varieties of power
  sums

abstract:
  Our fundamental result is the construction of new subvarieties in the
varieties of power sums for the Scorza quartic of any general pairs of trigonal
curves and non-effective theta characteristics. This is a generalization of
Mukai's description of smooth prime Fano threefolds of genus twelve as the
varieties of power sums for plane quartics. Among other applications, we give
an affirmative answer to the conjecture of Dolgachev and Kanev on the existence
of the Scorza quartic for any general pairs of curves and non-effective theta
characteristics.


title:
A study of the long term evolution of quasi periodic oscillations in the
  accretion powered X-ray pulsar 4U 1626-67

abstract:
  We report here a study of the long term properties of Quasi Periodic
Oscillations (QPO) in an unusual accreting X-ray pulsar, 4U 1626--67. This is a
unique accretion powered X-ray pulsar in which we have found the QPOs to be
present during all sufficiently long X-ray observations with a wide range of
X-ray observatories. In the present spin-down era of this source, the QPO
central frequency is found to be decreasing. In the earlier spin-up era of this
source, there are only two reports of QPO detections, in 1983 with EXOSAT and
1988 with GINGA with an increasing trend. The QPO frequency evolution in 4U
1626--67 during the last 22 years changed from a positive to a negative trend,
somewhat coincident with the torque reversal in this source. In the accretion
powered X-ray pulsars, the QPO frequency is directly related to the inner
radius of the accretion disk, as per Keplerian Frequency Model (KFM) and Beat
Frequency Model (BFM). A gradual depletion of accretion disk is reported
earlier from the X-ray spectral, flux and pulse profile measurements. The
present QPO frequency evolution study shows that X-ray flux and mass accretion
rate may not change by the same factor, hence the simple KFM and BFM are not
able to explain the QPO evolution in this source. This is the only X-ray pulsar
to show persistent QPOs and is also the first accreting X-ray pulsar in which
the QPO history is reported for a long time scale relating it with the long
term evolution of the accretion disk.


title: Decay of Z Boson into Photon and Unparticle

abstract:
  We study the decay of the standard model Z boson into unparticle plus a
single photon through a one-loop process. As in the anomaly type decay, only
the axial-vector part of the Z coupling matching with the vector unparticle
and/or the vector part of the Z coupling matching with the axial-vector
unparticle can give a nonzero contribution to the decay. We show that the
photon spectrum terminates at the end point in accord with Yang's theorem.
Existing data on single photon production at LEP I is used to constrain the
unparticle sector.


title:
Modified KdV hierarchy : Lax pair representation and bi-Hamiltonian
  structure

abstract:
  We consider equations in the modified KdV (mKdV) hierarchy and make use of
the Miura transformation to construct expressions for their Lax pair. We derive
a Lagrangian-based approach to study the bi-Hamiltonian structure of the mKdV
equations. We also show that the complex modified KdV (cmKdV) equation follows
from the action principle to have a Lagrangian representation. This
representation not only provides a basis to write the cmKdV equation in the
canonical form endowed with an appropriate Poisson structure but also help us
construct a semianalytical solution of it. The solution obtained by us may
serve as a useful guide for purely numerical routines which are currently being
used to solve the cmKdV eqution.


title: Does Cosmological Term Influence Gravitational Lensing?

abstract:
  We analyze the bending of light by galaxies or clusters of galaxies in the
presence of the cosmological term. Going over to the Friedmann-Robertson-Walker
coordinates, used in fact for the description of actual observations, we
demonstrate that the cosmological constant does not influence practically the
lensing effect.


title:
The ALPS project release 1.3: open source software for strongly
  correlated systems

abstract:
  We present release 1.3 of the ALPS (Algorithms and Libraries for Physics
Simulations) project, an international open source software project to develop
libraries and application programs for the simulation of strongly correlated
quantum lattice models such as quantum magnets, lattice bosons, and strongly
correlated fermion systems. Development is centered on common XML and binary
data formats, on libraries to simplify and speed up code development, and on
full-featured simulation programs. The programs enable non-experts to start
carrying out numerical simulations by providing basic implementations of the
important algorithms for quantum lattice models: classical and quantum Monte
Carlo (QMC) using non-local updates, extended ensemble simulations, exact and
full diagonalization (ED), as well as the density matrix renormalization group
(DMRG). Changes in the new release include a DMRG program for interacting
models, support for translation symmetries in the diagonalization programs, the
ability to define custom measurement operators, and support for inhomogeneous
systems, such as lattice models with traps. The software is available from our
web server at http://alps.comp-phys.org/ .


title: A Family of Counter Examples to an Approach to Graph Isomorphism

abstract:
  We give a family of counter examples showing that the two sequences of
polytopes $\Phi_{n,n}$ and $\Psi_{n,n}$ are different. These polytopes were
defined recently by S. Friedland in an attempt at a polynomial time algorithm
for graph isomorphism.


title: The line-of-sight proximity effect in individual quasar spectra

abstract:
  We exploit a set of high signal-to-noise (~70), low-resolution (R~800) quasar
spectra to search for the signature of the so-called proximity effect in the HI
Ly alpha forest. Our sample consists of 17 bright quasars in the redshift range
2.7<z<4.1. Analysing the spectra with the flux transmission technique, we
detect the proximity effect in the sample at high significance. We use this to
estimate the average intensity of the metagalactic UV background, assuming it
to be constant over this redshift range. We obtain a value of J =
(9+-4)x10^{-22}ergcm^{-2}s^{-1}Hz^{-1}sr^{-1}, in good agreement with previous
measurements at similar z. We then apply the same procedure to individual lines
of sight, finding a significant deficit in the effective optical depth close to
the emission redshift in every single object except one (which by a different
line of evidence does nevertheless show a noticeable proximity effect). Thus,
we clearly see the proximity effect as a universal phenomenon associated with
individual quasars. Using extensive Monte-Carlo simulations to quantify the
error budget, we assess the expected statistical scatter in the strength of the
proximity effect due to shot noise (cosmic variance). The observed scatter is
larger than the predicted one, so that additional sources of scatter are
required. We rule out a dispersion of spectral slopes as a significant
contributor. Possible effects are long time-scale variability of the quasars
and/or gravitational clustering of Ly alpha forest lines. We speculate on the
possibility of using the proximity effect as a tool to constrain individual
quasar ages, finding that ages between ~10^6 and ~10^8 yrs might produce a
characteristic signature in the optical depth profile towards the QSO. We
identify one possible candidate for this effect in our sample.


title:
Heat transfer between nanoparticles: Thermal conductance for near-field
  interactions

abstract:
  We analyze the heat transfer between two nanoparticles separated by a
distance lying in the near-field domain in which energy interchange is due to
Coulomb interactions. The thermal conductance is computed by assuming that the
particles have charge distributions characterized by fluctuating multipole
moments in equilibrium with heat baths at two different temperatures. This
quantity follows from the fluctuation-dissipation theorem (FDT) for the
fluctuations of the multipolar moments. We compare the behavior of the
conductance as a function of the distance between the particles with the result
obtained by means of molecular dynamics simulations. The formalism proposed
enables us to provide a comprehensive explanation of the marked growth of the
conductance when decreasing the distance between the nanoparticles.


title: Stars, gas and dust in elliptical galaxies

abstract:
  I will present recent theoretical results on the formation and the high
redshift assembly of spheroids. These findings have been obtained by utilising
different and complementary techniques: chemodynamical models offer great
insight in the radial abundance gradients in the stars; while state
semi-analytic codes implementing a detailed treatment of the chemical evolution
allow an exploration of the role of the galactic mass in shaping many observed
relations. The results will be shown by following the path represented by the
evolution of the mass-metallicity relation in stars, gas and dust. I will show
how, under a few sensible assumptions, it is possible to reproduce a large
number of observables ranging from the Xrays to the Infrared. By comparing
model predictions with observations, we derive a picture of galaxy formation in
which the higher is the mass of the galaxy, the shorter are the infall and the
star formation timescales. Therefore, the stellar component of the most massive
and luminous galaxies might attain a metallicity Z > Z_sun in only 0.5 Gyr.
Each galaxy is created outside-in, i.e. the outermost regions accrete gas, form
stars and develop a galactic wind very quickly, compared to the central core in
which the star formation can last up to ~ 1.3 Gyr.


title:
Evidence for Nonlinear Diffusive Shock Acceleration of Cosmic Rays in
  the 2006 Outburst of RS Ophiuchi

abstract:
  Spectroscopic observations of the 2006 outburst of RS Oph at both infrared
(IR) and X-ray wavelengths have shown that the blast wave has decelerated at a
higher rate than predicted by the standard test-particle adiabatic shock-wave
model. The observed blast-wave evolution can be explained, however, by the
diffusive shock acceleration of particles at the forward shock and the
subsequent escape of the highest energy ions from the acceleration region.
Nonlinear particle acceleration can also account for the difference of shock
velocities deduced from the IR and X-ray data. We discuss the evolution of the
nova remnant in the light of efficient particle acceleration at the blast wave.


title: Asteroid 2007 WD5 will not impact Mars on January 30!

abstract:
  The Monte Carlo method of the nominal orbit clonning was applied to the case
of 2007 WD5, the asteroid from the Apollo group. Calculations based on 33
observations from the time interval of 2007 11 08 - 2008 01 02 showed that the
asteroid will pass near planet Mars at the minimum distance of 10.9\pm 2.9
R_{Mars}, what implies that probability that 2007 WD5 strike the planet
decreased to the value of 0.03% from the value of about 3--4% previously
announced by NASA. The additional observations taken on January 3--9 reduce
further the asteroid's impact chances, effectively to nil: the asteroid will
pass near planet Mars at the minimum distance of 8.4\pm 1.1 R_{Mars}.


title: Bi-criteria Pipeline Mappings for Parallel Image Processing

abstract:
  Mapping workflow applications onto parallel platforms is a challenging
problem, even for simple application patterns such as pipeline graphs. Several
antagonistic criteria should be optimized, such as throughput and latency (or a
combination). Typical applications include digital image processing, where
images are processed in steady-state mode. In this paper, we study the mapping
of a particular image processing application, the JPEG encoding. Mapping
pipelined JPEG encoding onto parallel platforms is useful for instance for
encoding Motion JPEG images. As the bi-criteria mapping problem is NP-complete,
we concentrate on the evaluation and performance of polynomial heuristics.


title:
Generation of d-wave coupling in the two-dimensional Hubbard model from
  functional renormalization

abstract:
  Within the two-dimensional repulsive t-t'-Hubbard model, an attractive
coupling in the d-wave pairing channel is induced by antiferromagnetic
fluctuations. We investigate this coupling using functional renormalization
group equations. The momentum dependent d-wave coupling can be bosonized by the
use of scale dependent field transformations. We propose an effective coarse
grained model for the Hubbard model which is based on the exchange of
antiferromagnetic and d-wave collective bosons.


title:
Convergence rates and source conditions for Tikhonov regularization with
  sparsity constraints

abstract:
  This paper addresses the regularization by sparsity constraints by means of
weighted $\ell^p$ penalties for $0\leq p\leq 2$. For $1\leq p\leq 2$ special
attention is payed to convergence rates in norm and to source conditions. As
main result it is proven that one gets a convergence rate in norm of
$\sqrt{\delta}$ for $1\leq p\leq 2$ as soon as the unknown solution is sparse.
The case $p=1$ needs a special technique where not only Bregman distances but
also a so-called Bregman-Taylor distance has to be employed.
  For $p<1$ only preliminary results are shown. These results indicate that,
different from $p\geq 1$, the regularizing properties depend on the interplay
of the operator and the basis of sparsity. A counterexample for $p=0$ shows
that regularization need not to happen.


title: Giant dynamical Zeeman split in inverse spin valves

abstract:
  The inversion of a spin valve device is proposed. Opposite to a conventional
spin valve of a non-magnetic spacer sandwiched between two ferromagnetic
metals, an inverse spin valve is a ferromagnet sandwiched between two
non-magnetic metals. It is predicted that, under a bias, the chemical
potentials of spin-up and spin-down electrons in the metals split at
metal-ferromagnet interfaces, a dynamical Zeeman effect. This split is of the
order of an applied bias. Thus, there should be no problem of generating an
$eV$ split that is not possible to be realized on the earth by the usual Zeeman
effect.


title: Violation of Bell inequalities through the coincidence-time loophole

abstract:
  The coincidence-time loophole was identified by Larsson & Gill (Europhys.
Lett. 67, 707 (2004)); a concrete model that exploits this loophole has
recently been described by De Raedt et al. (Found. Phys., to appear). It is
emphasized here that De Raedt et al.'s model is experimentally testable. De
Raedt et al.'s model also introduces contextuality in a novel and classically
more natural way than the use of contextual particle properties, by introducing
a probabilistic model of a limited set of degrees of freedom of the measurement
apparatus, so that it can also be seen as a random field model. Even though De
Raedt et al.'s model may well contradict detailed Physics, it nonetheless
provides a way to simulate the logical operation of elements of a quantum
computer, and may provide a way forward for more detailed random field models.


title: Nucleosynthesis in stellar flares

abstract:
  Nuclear interactions of ions accelerated at the surface of flaring stars can
produce fresh isotopes in stellar atmospheres. Although this nucleosynthesis is
not significant for the chemical evolution of the Galaxy, it can be important
for a number of measurements of "anomalously" high 6-Li and 7-Li abundances. We
discuss the possible role of stellar flares to explain the recent report of
high 6-Li abundances in metal-poor halo stars and the well-established
correlation between Li abundance and stellar activity in young open clusters.
We then study the possibility of observing directly Li production during flares
of nearby and active dwarfs of spectral type M.


title:
ATCA 3mm observations of NGC6334I and I(N): dense cores, outflows and an
  UCHII region

abstract:
  Aims: Investigation of the dense gas, the outflows and the continuum emission
from the massive twin cores NGC6334I and I(N) at high spatial resolution.
Methods: We imaged the region with the Australia Telescope Compact Array (ATCA)
at 3.4mm wavelength in continuum as well as CH3CN(5_K-4_K) and HCN(1-0)
spectral line emission. Results: While the continuum emission in NGC6334I
mainly traces the UCHII region, toward NGC6334I(N) we detect line emission from
four of the previously identified dust continuum condensations that are of
protostellar or pre-stellar nature. The CH3CN(5_K-4_K) lines are detected in
all K-components up to energies of 128K above ground toward two protostellar
condensations in both regions. We find line-width increasing with increasing K
for all sources, which indicates a higher degree of internal motions closer to
the central protostars. Toward the main mm and CH3CN source in NGC6334I we
identify a velocity gradient approximately perpendicular to the large-scale
molecular outflow. This may be interpreted as a signature of an accretion disk,
although other scenarios, e.g., an unresolved double source, could produce a
similar signature as well. No comparable signature is found toward any of the
other sources. HCN does not trace the dense gas well but it is dominated by the
molecular outflows. While the outflow in NGC6334I exhibits a normal Hubble-law
like velocity structure, the data indicate a precessing outflow close to the
plane of the sky for NGC6334I(N). Furthermore, we observe a wide (~15.4km/s)
HCN absorption line, much broader than the previously observed CH3OH and NH3
absorption lines. Several explanations for the difference are discussed.


title: Charge pumping in magnetic tunnel junctions: Scattering theory

abstract:
  We study theoretically the charge transport pumped by magnetization dynamics
through epitaxial FIF and FNIF magnetic tunnel junctions (F: Ferromagnet, I:
Insulator, N: Normal metal). We predict a small but measurable DC pumping
voltage under ferromagnetic resonance conditions for collinear magnetization
configurations, which may change sign as function of barrier parameters. A much
larger AC pumping voltage is expected when the magnetizations are at right
angles. Quantum size effects are predicted for an FNIF structure as a function
of the normal layer thickness.


title:
Proximal alternating minimization and projection methods for nonconvex
  problems. An approach based on the Kurdyka-Lojasiewicz inequality

abstract:
  We study the convergence properties of an alternating proximal minimization
algorithm for nonconvex structured functions of the type:
$L(x,y)=f(x)+Q(x,y)+g(y)$, where $f:\R^n\rightarrow\R\cup{+\infty}$ and
$g:\R^m\rightarrow\R\cup{+\infty}$ are proper lower semicontinuous functions,
and $Q:\R^n\times\R^m\rightarrow \R$ is a smooth $C^1$ function which couples
the variables $x$ and $y$. The algorithm can be viewed as a proximal
regularization of the usual Gauss-Seidel method to minimize $L$. We work in a
nonconvex setting, just assuming that the function $L$ satisfies the Kurdyka-\L
ojasiewicz inequality. An entire section illustrates the relevancy of such an
assumption by giving examples ranging from semialgebraic geometry to
"metrically regular" problems. Our main result can be stated as follows: If L
has the Kurdyka-\L ojasiewicz property, then each bounded sequence generated by
the algorithm converges to a critical point of $L$. This result is completed by
the study of the convergence rate of the algorithm, which depends on the
geometrical properties of the function $L$ around its critical points. When
specialized to $Q(x,y)=|x-y|^2$ and to $f$, $g$ indicator functions, the
algorithm is an alternating projection mehod (a variant of Von Neumann's) that
converges for a wide class of sets including semialgebraic and tame sets,
transverse smooth manifolds or sets with "regular" intersection. In order to
illustrate our results with concrete problems, we provide a convergent proximal
reweighted $\ell^1$ algorithm for compressive sensing and an application to
rank reduction problems.


title:
The Geometrical Effects on Electronic Spectrum and Persistent Currents
  in Mesoscopic Polygon

abstract:
  In this paper, a new mesoscopic polygon which possesses smooth transition at
its corners is proposed. Because of the particularity of structure, this kind
of mesoscopic polygon can also be a geometrical supperlattice. The geometrical
effects on the electron states and persistent current are investigated
comprehensively in the presence of magnetic flux. We find that the particular
geometric structure of the polygon induces an effective periodic potential
which results in gaps in the energy spectrum. The changes of gaps show the
consistency with the geometrical twoness of this new polygon. This electronic
structure and the corresponding physical properties are found to be periodic
with period $\phi_{0}$ in the magnetic flux $\phi $ and can be controlled by
the geometric method. We also consider the Rahsba spin-orbit interaction which
make the energy levels splitting newly to double and leads to an additional
small zigzag in one period of the persistent current. These new phenomena may
be useful for the applications in quantum device design in the future.


title: Positivity domains for pairs of triples of spin observables

abstract:
  Positivity restrains the allowed domains for pairs or triples of spin
observables in polarised reactions. Various domain shapes in
${1\over2}+{1\over2}\to{1\over2}+{1\over2}$ reactions are displayed. Some
methods to determine these domains are mentioned and a new one based on the
anticommutation between two observables is presented.


title:
An omega-power of a context-free language which is Borel above
  Delta^0_omega

abstract:
  We use erasers-like basic operations on words to construct a set that is both
Borel and above Delta^0_omega, built as a set V^\omega where V is a language of
finite words accepted by a pushdown automaton. In particular, this gives a
first example of an omega-power of a context free language which is a Borel set
of infinite rank.


title: Ideal synchronizer for marked pairs in fork-join network

abstract:
  We introduce a new functional element (synchronizer for marked pairs) meant
to join results of parallel processing in two-branch fork-join queueing
network. Approximations for distribution of sojourn time at the synchronizer
are derived along with a validity domain. Calculations are performed assuming
that: arrivals to the network form a Poisson process, each branch operates like
an M/M/N queueing system. It is shown that mean sojourn time at a real
synchronizer node is bounded below by the value, defined by parameters of the
network (which contains the synchronizer) and does not depend upon performance
and particular properties of the synchronizer.


title: T-duality in Ramond-Ramond backgrounds

abstract:
  Using the pure spinor formalism on the world-sheet, we derive the T-duality
rules for all target space couplings in an efficient manner. The world-sheet
path integral derivation is a proof of the equivalence of the T-dual
Ramond-Ramond backgrounds which is valid non-perturbatively in the string
length over the curvature radius and to all orders in perturbation theory in
the string coupling.


title: Magneto-spin Hall conductivity of a two-dimensional electron gas

abstract:
  It is shown that the interplay of long-range disorder and in-plane magnetic
field gives rise to an out-of-plane spin polarization and a finite spin Hall
conductivity of the two-dimensional electron gas in the presence of Rashba
spin-orbit coupling. A key aspect is provided by the electric-field induced
in-plane spin polarization. Our results are obtained first in the
\textit{clean} limit where the spin-orbit splitting is much larger than the
disorder broadening of the energy levels via the diagrammatic evaluation of the
Kubo-formula. Then the results are shown to hold in the full range of the
disorder parameter $\alpha p_F \tau$ by means of the quasiclassical Green
function technique.


title:
Melting of magnetic correlations in charge-orbital ordered
  La(0.5)Sr(1.5)MnO(4) : competition of ferro and antiferromagnetic states

abstract:
  The magnetic correlations in the charge- and orbital-ordered manganite
La(0.5)Sr(1.5)MnO(4) have been studied by elastic and inelastic neutron
scattering techniques. Out of the well-defined CE-type magnetic structure with
the corresponding magnons a competition between CE-type and ferromagnetic
fluctuations develops. Whereas ferromagnetic correlations are fully suppressed
by the static CE-type order at low temperature, elastic and inelastic CE-type
correlations disappear with the melting of the charge-orbital order at high
temperature. In its charge-orbital disordered phase, La(0.5)Sr(1.5)MnO(4)
exhibits a dispersion of ferromagnetic correlations which remarkably resembles
the magnon dispersion in ferromagnetically ordered metallic perovskite
manganites.


title: Extremal fullerene graphs with the maximum Clar number

abstract:
  A fullerene graph is a cubic 3-connected plane graph with (exactly 12)
pentagonal faces and hexagonal faces. Let $F_n$ be a fullerene graph with $n$
vertices. A set $\mathcal H$ of mutually disjoint hexagons of $F_n$ is a sextet
pattern if $F_n$ has a perfect matching which alternates on and off each
hexagon in $\mathcal H$. The maximum cardinality of sextet patterns of $F_n$ is
the Clar number of $F_n$. It was shown that the Clar number is no more than
$\lfloor\frac {n-12} 6\rfloor$. Many fullerenes with experimental evidence
attain the upper bound, for instance, $\text{C}_{60}$ and $\text{C}_{70}$. In
this paper, we characterize extremal fullerene graphs whose Clar numbers equal
$\frac{n-12} 6$. By the characterization, we show that there are precisely 18
fullerene graphs with 60 vertices, including $\text{C}_{60}$, achieving the
maximum Clar number 8 and we construct all these extremal fullerene graphs.


title:
About S-\bar s, \Delta S-\Delta\bar s and D_d^{K+ - K-} in K^\pm
  Production in Sidis

abstract:
  We consider semi-inclusive unpolarized DIS for the production of charged
Kaons and the different possibilities, both in LO and NLO, to test the
conventionally used assumptions s-\bar s=0, \Delta s-\Delta \bar s=0 and
D_d^{K+ - K-}=0. The considered tests have the advantage that they do not
require any knowledge of the fragmentation functions.


title: Spin Dephasing in Drift-Dominated Semiconductor Spintronics Devices

abstract:
  A spin transport model is employed to study the effects of spin dephasing
induced by diffusion-driven transit-time uncertainty through semiconductor
spintronic devices where drift is the dominant transport mechanism. It is found
that in the ohmic regime, dephasing is independent of transit length, and
determined primarily by voltage drop across the spin transport region. The
effects of voltage and temperature predicted by the model are compared to
experimental results from a 350-micron-thick silicon spin-transport device
using derived mathematical expressions of spin dephasing.


title:
Explicit Construction of First Integrals with Quasi-monomial Terms from
  the Painlev\'{e} Series

abstract:
  The Painlev\'{e} and weak Painlev\'{e} conjectures have been used widely to
identify new integrable nonlinear dynamical systems. For a system which passes
the Painlev\'{e} test, the calculation of the integrals relies on a variety of
methods which are independent from Painlev\'{e} analysis. The present paper
proposes an explicit algorithm to build first integrals of a dynamical system,
expressed as `quasi-polynomial' functions, from the information provided solely
by the Painlev\'{e} - Laurent series solutions of a system of ODEs.
Restrictions on the number and form of quasi-monomial terms appearing in a
quasi-polynomial integral are obtained by an application of a theorem by
Yoshida (1983). The integrals are obtained by a proper balancing of the
coefficients in a quasi-polynomial function selected as initial ansatz for the
integral, so that all dependence on powers of the time $\tau=t-t_0$ is
eliminated. Both right and left Painlev\'{e} series are useful in the method.
Alternatively, the method can be used to show the non-existence of a
quasi-polynomial first integral. Examples from specific dynamical systems are
given.


title: Harmonic measure and SLE

abstract:
  In this paper we rigorously compute the average multifractal spectrum of
harmonic measure on the boundary of SLE clusters.


title:
Realizzazione di un esperimento innovativo con doppia fenditura
  utilizzando coppie correlate di fotoni

abstract:
  In this Thesis I present a double slit experiment where two undistinguishable
photons produced by type I PDC are sent each to a well defined slit. Data about
the diffraction and interference patterns for coincidences are presented and
discussed. An analysis of these data allows a first test of standard quantum
mechanics against de Broglie-Bohm theory.


title: Graviton production with 2 jets at the LHC in large extra dimensions

abstract:
  We study Kaluza-Klein (KK) graviton production in the large extra dimensions
model via 2 jets plus missing transverse momentum signatures at the LHC. We
make predictions for both the signal and the dominant Zjj and Wjj backgrounds,
where we introduce missing P_T-dependent jet selection cuts that ensure the
smallness of the 2-jet rate over the 1-jet rate. With the same jet selection
cuts, the distributions of the two jets and their correlation with the missing
transverse momentum provide additional evidence for the production of an
invisible massive object.


title: The mass distribution of RX J1347-1145 from strong lensing

abstract:
  High resolution HST/ACS images of the galaxy cluster RX J1347-1145 have
enabled us to identify several new multiple image candidates in the cluster,
including a 5 image system with a central image. The multiple images allow us
to construct an accurate 2-dimensional mass map of the central part of the
cluster. The modelling of the cluster mass includes the most prominent cluster
galaxies modelled as truncated isothermal spheres and a smooth halo component
that is described with 2 parametric profiles. The mass reconstruction is done
using a Markov chain Monte Carlo method that provides us with a total projected
mass density as well as estimates for the parameters of interest and their
respective errors. The mass profile is in reasonable agreement with previous
mass estimates based on the X-ray emission from the hot intra-cluster gas,
however the X-ray mass estimates are systematically lower than what we obtain
with gravitational lensing.


title: Light-cone sum rules for $B \to \pi$ form factors revisited

abstract:
  We reconsider and update the QCD light-cone sum rules for $B\to \pi$ form
factors. The gluon radiative corrections to the twist-2 and twist-3 terms in
the correlation functions are calculated. The $\bar{MS}$ $b$-quark mass is
employed, instead of the one-loop pole mass used in the previous analyses. The
light-cone sum rule for $f^+_{B\pi}(q^2)$ is fitted to the measured
$q^2$-distribution in $B\to \pi l \nu_l$, fixing the input parameters with the
largest uncertainty: the Gegenbauer moments of the pion distribution amplitude.
For the $B\to \pi$ vector form factor at zero momentum transfer we predict
$f^+_{B\pi}(0)= 0.26^{+0.04}_{-0.03}$. Combining it with the value of the
product $|V_{ub}f^+_{B\pi}(0)|$ extracted from experiment, we obtain
$|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}$. In addition, the scalar
and penguin $B\to \pi$ form factors $f^0_{B\pi}(q^2)$ and $f^T_{B\pi}(q^2)$ are
calculated.


title: A note on causal hydrodynamics for M-theory branes

abstract:
  We obtain new transport coefficients of causal hydrodynamics for the M2 and
the M5-brane using a Kubo-like formula proposed by Baier, Romatschke, Son,
Starinets, and Stephanov (arXiv:0712.2451 [hep-th]). The relaxation times agree
with the ones obtained from the "sound mode" in our paper (arXiv:0712.2916
[hep-th]).