title:
Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion
  Two

abstract:
  We propose a general set of constraints on the partition function of quarter
BPS dyons in any N=4 supersymmetric string theory by drawing insight from known
examples, and study the consequences of this proposal. The main ingredients of
our analysis are duality symmetries, wall crossing formula and black hole
entropy. We use our analysis to constrain the dyon partition function for two
hitherto unknown cases -- the partition function of dyons of torsion two (i.e.
gcd(Q\wedge P)=2) in heterotic string theory on T^6 and the partition function
of dyons carrying untwisted sector electric charge in Z_2 CHL model. With the
help of these constraints we propose a candidate for the partition function of
dyons of torsion two in heterotic string theory on T^6. This leads to a novel
wall crossing formula for decay of quarter BPS dyons into half BPS dyons with
non-primitive charge vectors. In an appropriate limit the proposed formula
reproduces the known result for the spectrum of torsion two dyons in gauge
theory.


title:
Measuring $D^0-\bar D^0$ mixing in $D^0(\bar D^0)\to f_0(980) K^{*}$ and
  more

abstract:
  We investigate the $D^0-\bar D^0$ mixing through the doubly Cabibbo
suppressed (DCS) channel $D^0\to f_0(980)K^{*0}$ and its charge conjugate
channel, in which the $K^{*0}$ meson is reconstructed in both $K^+\pi^-$ and
$K_S\pi^0$ final state. Although the decay $D^0\to f_0(980)K^{*}$ has a small
branching ratio, the final state mesons are relatively easy to identify. The
$f_0(980)$ meson can be replaced by $\pi^+\pi^-$ in which $\pi^+\pi^-$ form an
$S$-wave state, or a longitudinally polarized vector meson $\rho^0,\omega$. All
mixing parameters, including the mass difference and decay width difference,
can be extracted by studying the time-dependent decay width of these channels.
We show that the method is valid in all regions for mixing parameters and it
does not depend on the strong phase difference.


title: Dark Interactions and Cosmological Fine-Tuning

abstract:
  Cosmological models involving an interaction between dark matter and dark
energy have been proposed in order to solve the so-called coincidence problem.
Different forms of coupling have been studied, but there have been claims that
observational data seem to narrow (some of) them down to something annoyingly
close to the $\Lambda$CDM model, thus greatly reducing their ability to deal
with the problem in the first place. The smallness problem of the initial
energy density of dark energy has also been a target of cosmological models in
recent years. Making use of a moderately general coupling scheme, this paper
aims to unite these different approaches and shed some light as to whether this
class of models has any true perspective in suppressing the aforementioned
issues that plague our current understanding of the universe, in a quantitative
and unambiguous way.


title: On Using (Z^2, +) Homomorphisms to Generate Pairs of Coprime Integers

abstract:
  We use the group $(\Z^2,+)$ and two associated homomorphisms, $\tau_0,
\tau_1$, to generate all distinct, non-zero pairs of coprime, positive integers
which we describe within the context of a binary tree which we denote $T$.
While this idea is related to the Stern-Brocot tree and the map of relatively
prime pairs, the parents of an integer pair these trees do not necessarily
correspond to the parents of the same integer pair in $T$. Our main result is a
proof that for $x_i \in \{0,1\}$, the sum of the pair $\tau_{x_1}\tau_{x_2}...
\tau_{x_n} [1,2]$ is equal to the sum of the pair $\tau_{x_n}\tau_{x_{n-1}} ...
\tau_{x_1} [1,2]$. Further, we give a conjecture as to the well-ordering of the
sums of these integers.


title:
Understanding AGN-Host Connection in Partially Obscured Active Galactic
  Nuclei. Part I: The Nature of AGN+HII Composites

abstract:
  The goal of our serial papers is to examine the evolutionary connection
between AGN and star formation in its host galaxy in the partially obscured
AGNs (i.e., Seyfert 1.8 and 1.9 galaxies). Taking advantage of these galaxies,
the properties of both components can be studied together by direct
measurements. In this paper, we focus on the broad-line composite galaxies
(composite AGNs) which are located between the theoretical and empirical
separation lines in the [NII]/Ha vs. [OIII]/Hb diagram. These galaxies are
searched for from the composite galaxies provided by the SDSS DR4 MPA/JHU
catalogs. After re-analyze the spectra, we perform a fine classification for
the 85 composite AGNs in terms of the BPT diagrams. All the objects located
below the three theoretical separation lines are associated with a young
stellar population (<1Gyrs), while either a young or old stellar population is
identified in the individual multiply-classified object. The
multiply-classified objects with a very old stellar population are located in
the LINER region in the [OI]/Ha vs. [OIII]/Hb diagram. We then consider the
connection between AGN and star formation to derive the key results. The
Eddington ratio inferred from the broad Ha emission, the age of the stellar
population of AGN's host as assessed by D_n(4000), and the line ratio [OI]/Ha
are found to be related with each other. These relations strongly support the
evolutionary scenario in which AGNs evolve from high L/L_Edd state with soft
spectrum to low L/L_Edd state with hard spectrum as young stellar population
ages and fades. The significant correlation between the line ratio [OI]/Ha and
D_n(4000) leads us to suggest that the line ratio could be used to trace the
age of stellar population in type I AGNs.


title: Analytical solution of the bosonic three-body problem

abstract:
  We revisit the problem of three identical bosons in free space, which
exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a
narrow Feshbach resonance within a two-channel description, we map the integral
equation for the three-body scattering amplitude to a one-dimensional
Schr\"odinger-type single-particle equation, where an analytical solution of
exponential accuracy is obtained. We give exact results for the trimer binding
energies, the three-body parameter, the threshold to the three-atom continuum,
and the recombination rate.


title:
Energy Aware Self-Organizing Density Management in Wireless Sensor
  Networks

abstract:
  Energy consumption is the most important factor that determines sensor node
lifetime. The optimization of wireless sensor network lifetime targets not only
the reduction of energy consumption of a single sensor node but also the
extension of the entire network lifetime. We propose a simple and adaptive
energy-conserving topology management scheme, called SAND (Self-Organizing
Active Node Density). SAND is fully decentralized and relies on a distributed
probing approach and on the redundancy resolution of sensors for energy
optimizations, while preserving the data forwarding and sensing capabilities of
the network. We present the SAND's algorithm, its analysis of convergence, and
simulation results. Simulation results show that, though slightly increasing
path lengths from sensor to sink nodes, the proposed scheme improves
significantly the network lifetime for different neighborhood densities
degrees, while preserving both sensing and routing fidelity.


title: Inverse square problem and so(2,1) symmetry in noncommutative space

abstract:
  We study the quantum mechanics of a system with inverse square potential in
noncommutative space. Both the coordinates and momentums are considered to be
noncommutative, which breaks the original so(2,1) symmetry. The energy levels
and eigenfunctions are obtained. The generators of the so(2,1) algebra are also
studied in noncommutative phase space and the commutators are calculated, which
shows that the so(2,1) algebra obtained in noncommutative space is not closed.
However the commutative limit \Theta,\bar{\Theta}\to 0 for the algebra smoothly
goes to the standard so(2,1) algebra.


title: Timed Quorum System for Large-Scale and Dynamic Environments

abstract:
  This paper presents Timed Quorum System (TQS), a new quorum system especially
suited for large-scale and dynamic systems. TQS requires that two quorums
intersect with high probability if they are used in the same small period of
time. It proposed an algorithm that implements TQS and that verifies
probabilistic atomicity: a consistency criterion that requires each operation
to respect atomicity with high probability. This TQS implementation has quorum
of size O(\sqrt{nD}) and expected access time of O(log \sqrt{nD}) message
delays, where n measures the size of the system and D is a required parameter
to handle dynamism.


title:
CO oxidation on Pd(100) at technologically relevant pressure conditions:
  A first-principles kinetic Monte Carlo study

abstract:
  The possible importance of oxide formation for the catalytic activity of
transition metals in heterogenous oxidation catalysis has evoked a lively
discussion over the recent years. On the more noble transition metals (like Pd,
Pt or Ag) the low stability of the common bulk oxides suggests primarily
sub-nanometer thin oxide films, so-called surface oxides, as potential
candidates that may be stabilized under gas phase conditions representative of
technological oxidation catalysis. We address this issue for the Pd(100) model
catalyst surface with first-principles kinetic Monte Carlo (kMC) simulations
that assess the stability of the well-characterized (sqrt{5} x sqrt{5})R27
surface oxide during steady-state CO oxidation. Our results show that at
ambient pressure conditions the surface oxide is stabilized at the surface up
to CO:O2 partial pressure ratios just around the catalytically most relevant
stoichiometric feeds (p(CO):p(O2) = 2:1). The precise value depends sensitively
on temperature, so that both local pressure and temperature fluctuations may
induce a continuous formation and decomposition of oxidic phases during
steady-state operation under ambient stoichiometric conditions.


title: Message-Passing Decoding of Lattices Using Gaussian Mixtures

abstract:
  A lattice decoder which represents messages explicitly as a mixture of
Gaussians functions is given. In order to prevent the number of functions in a
mixture from growing as the decoder iterations progress, a method for replacing
N Gaussian functions with M Gaussian functions, with M < N, is given. A squared
distance metric is used to select functions for combining. A pair of selected
Gaussians is replaced by a single Gaussian with the same first and second
moments. The metric can be computed efficiently, and at the same time, the
proposed algorithm empirically gives good results, for example, a dimension 100
lattice has a loss of 0.2 dB in signal-to-noise ratio at a probability of
symbol error of 10^{-5}.


title: Sparticle Masses in Higgsed Gauge Mediation

abstract:
  We generalize the gauge sector of gauge-mediated supersymmetry breaking to
allow for an arbitrary gauge group with an arbitrary supersymmetric Higgsing.
The sparticle masses are computed to leading order in the gauge coupling. The
generic effect on the MSSM spectrum from additional Higgsed gauge structure is
to increase the sfermion masses relative to the gaugino masses.


title: Uncovering Biological Network Function via Graphlet Degree Signatures

abstract:
  Proteins are essential macromolecules of life and thus understanding their
function is of great importance. The number of functionally unclassified
proteins is large even for simple and well studied organisms such as baker's
yeast. Methods for determining protein function have shifted their focus from
targeting specific proteins based solely on sequence homology to analyses of
the entire proteome based on protein-protein interaction (PPI) networks. Since
proteins aggregate to perform a certain function, analyzing structural
properties of PPI networks may provide useful clues about the biological
function of individual proteins, protein complexes they participate in, and
even larger subcellular machines.
  We design a sensitive graph theoretic method for comparing local structures
of node neighborhoods that demonstrates that in PPI networks, biological
function of a node and its local network structure are closely related. The
method groups topologically similar proteins under this measure in a PPI
network and shows that these protein groups belong to the same protein
complexes, perform the same biological functions, are localized in the same
subcellular compartments, and have the same tissue expressions. Moreover, we
apply our technique on a proteome-scale network data and infer biological
function of yet unclassified proteins demonstrating that our method can provide
valuable guidelines for future experimental research.


title: A Conversation with Ingram Olkin

abstract:
  Ingram Olkin was born on July 23, 1924 in Waterbury, Connecticut. His family
moved to New York in 1934 and he graduated from DeWitt Clinton High School in
1941. He served three years in the Air Force during World War II and obtained a
B.S. in mathematics at the City College of New York in 1947. After receiving an
M.A. in mathematical statistics from Columbia in 1949, he completed his
graduate studies in the Department of Statistics at the University of North
Carolina in 1951. His dissertation was written under the direction of S. N. Roy
and Harold Hotelling. He joined the Department of Mathematics at Michigan State
University in 1951 as an Assistant Professor, subsequently being promoted to
Professor. In 1960, he took a position as Chair of the Department of Statistics
at the University of Minnesota. He moved to Stanford University in 1961 to take
a joint position as Professor of Statistics and Professor of Education; he was
also Chair of the Department of Statistics from 1973--1976. In 2007, Ingram
became Professor Emeritus. Ingram was Editor of the Annals of Mathematical
Statistics (1971--1972) and served as the first editor of the Annals of
Statistics from 1972--1974. He was a primary force in the founding of the
Journal of Educational Statistics, for which he was also Associate Editor
during 1977--1985. In 1984, he was President of the Institute of Mathematical
Statistics. Among his many professional activities, he has served as Chair of
the Committee of Presidents of Statistical Societies (COPSS), Chair of the
Committee on Applied and Theoretical Statistics of the National Research
Council, Chair of the Management Board of the American Education Research
Association, and as Trustee for the National Institute of Statistical Sciences.
He has been honored by the American Statistical Association (ASA) with a Wilks
Medal (1992) and a Founder's Award (1992). The American Psychological
Association gave him a Lifetime Contribution Award (1997) and he was elected to
the National Academy of Education in 2005. He received the COPSS Elizabeth L.
Scott Award in 1998 and delivered the R. A. Fisher Lecture in 2000. In 2003,
the City University of New York gave him a Townsend Harris Medal. An author of
5 books, an editor of 10 books, and an author of more than 200 publications,
Ingram has made major contributions to statistics and education. His research
has focused on multivariate analysis, majorization and inequalities,
distribution theory, and meta-analysis. A volume in celebration of Ingram's
65th birthday contains a brief biography and an interview [Gleser, Perlman,
Press and Sampson (1989)]. Ingram was chosen in 1997 to participate in the
American Statistical Association Distinguished Statistician Video Series and a
videotaped conversation and a lecture (Olkin, 1997) are available from the ASA
(1997, DS041, DS042).


title:
Slow-light enhanced absorption for bio-chemical sensing applications:
  potential of low-contrast lossy materials

abstract:
  Slow-light enhanced absorption in liquid-infiltrated photonic crystals has
recently been proposed as a route to compensate for the reduced optical path in
typical lab-on-a-chip systems for bio-chemical sensing applications. A simple
perturbative expression has been applied to ideal structures composed of
lossless dielectrics. In this work we study the enhancement in structures
composed of lossy dielectrics such as a polymer. For this particular sensing
application we find that the material loss has an unexpected limited drawback
and surprisingly, it may even add to increase the bandwidth for low-index
contrast systems such as polymer devices.


title:
Green's function theory for spin-1/2 ferromagnets with an easy-plane
  exchange anisotropy

abstract:
  The many-body Green's function theory with the random-phase approximation is
applied to the study of easy-plane spin-1/2 ferromagnets in an in-plane
magnetic field. We demonstrate that the usual procedure, in which only the
three Green's functions $<< S_i^\mu;S_j^->>$ ($\mu=+,-,z$) are used, yields
unreasonable results in this case. Then the problem is discussed in more detail
by considering all combinations of Green's functions. We can derive one more
equation, which cannot be obtained by using only the set of the above three
Green's functions, and point out that the two equations contradict each other
if one demands that the identities of the spin operators are exactly satisfied.
We discuss the cause of the contradiction and attempt to improve the method in
a self consistent way. In our procedure, the effect of the anisotropy can be
appropriately taken into account, and the results are in good agreement with
the quantum Monte Carlo calculations.


title: Detection of Spiral photons in Quantum Optics

abstract:
  We show that a new type of photon detector, sensitive to the gradients of
electromagnetic fields, should be a useful tool to characterize the quantum
properties of spatially-dependent optical fields. As a simple detector of such
a kind, we propose using magnetic dipole or electric quadrupole transitions in
atoms or molecules and apply it to the detection of spiral photons in
Laguerre-Gauss (LG) beams. We show that LG beams are not true hollow beams, due
to the presence of magnetic fields and gradients of electric fields on beam
axis. This approach paves the way to an analysis at the quantum level of the
spatial structure and angular momentum properties of singular light beams.


title:
Far-off-resonant wave interaction in one-dimensional photonic crystals
  with quadratic nonlinearity

abstract:
  We extend a recently developed Hamiltonian formalism for nonlinear wave
interaction processes in spatially periodic dielectric structures to the
far-off-resonant regime, and investigate numerically the three-wave resonance
conditions in a one-dimensional optical medium with $\chi^{(2)}$ nonlinearity.
In particular, we demonstrate that the cascading of nonresonant wave
interaction processes generates an effective $\chi^{(3)}$ nonlinear response in
these systems. We obtain the corresponding coupling coefficients through
appropriate normal form transformations that formally lead to the Zakharov
equation for spatially periodic optical media.


title:
Atmospheric MUons from PArametric formulas: a fast GEnerator for
  neutrino telescopes (MUPAGE)

abstract:
  Neutrino telescopes will open, in the next years, new opportunities in
observational high energy astrophysics. For these experiments, atmospheric
muons from primary cosmic ray interactions in the atmosphere play an important
role, because they provide the most abundant source of events for calibration
and test. On the other side, they represent the major background source.
  In this paper a fast Monte Carlo generator (called MUPAGE) of bundles of
atmospheric muons for underwater/ice neutrino telescopes is presented. MUPAGE
is based on parametric formulas [APP25(2006)1] obtained from a full Monte Carlo
simulation of cosmic ray showers generating muons in bundle, which are
propagated down to 5 km w.e. It produces the event kinematics on the surface of
a user-defined virtual cylinder, surrounding the detector. The multiplicity of
the muons in the bundle, the muon spatial distribution and energy spectrum are
simulated according to a specific model of primary cosmic ray flux, with
constraints from measurements of the muon flux with underground experiments. As
an example of the application, the result of the generation of events on a
cylindrical surface of 3 km^2 at a depth of 2450 m of water is presented.


title: On continuous solutions of a problem of R.Schilling

abstract: The paper deals with continuous solutions of a Schilling's problem.


title: Controlling the quantum computational speed

abstract:
  The speed of quantum computation is investigated through the time evolution
of the speed of the orthogonality. The external field components for classical
treatment beside the detuning and the coupling parameters for quantum treatment
play important roles on the computational speed. It has been shown that the
number of photons has no significant effect on the speed of computation.
However, it is very sensitive to the variation in both detuning and the
interaction coupling parameters.


title: Criteria for Bochner's extension problem

abstract:
  A necessary and sufficient condition for the resolution of the weak extension
problem is given. This criterion is applied to also give a criterion for the
solvability of the classical Bochner's extension problem in the $L^p$-category.
The solution of the $L^p$-extension problem by Bochner giving the relation
between the order of the operator, the dimension, and index $p$, for which the
$L^p$-extension property holds, can be viewed as a subcritical case of the
general $L^p$-extension problem. In general, this property fails in some
critical and in all supercritical cases. In this paper, the $L^p$-extension
problem is investigated for operators of all orders and for all $1\leq
p\leq\infty$. Necessary and sufficient conditions on the subset of $L^p$ are
given for which the $L^p$-extension property still holds, in the critical and
supercritical cases.


title: V-fold cross-validation improved: V-fold penalization

abstract:
  We study the efficiency of V-fold cross-validation (VFCV) for model selection
from the non-asymptotic viewpoint, and suggest an improvement on it, which we
call ``V-fold penalization''. Considering a particular (though simple)
regression problem, we prove that VFCV with a bounded V is suboptimal for model
selection, because it ``overpenalizes'' all the more that V is large. Hence,
asymptotic optimality requires V to go to infinity. However, when the
signal-to-noise ratio is low, it appears that overpenalizing is necessary, so
that the optimal V is not always the larger one, despite of the variability
issue. This is confirmed by some simulated data. In order to improve on the
prediction performance of VFCV, we define a new model selection procedure,
called ``V-fold penalization'' (penVF). It is a V-fold subsampling version of
Efron's bootstrap penalties, so that it has the same computational cost as
VFCV, while being more flexible. In a heteroscedastic regression framework,
assuming the models to have a particular structure, we prove that penVF
satisfies a non-asymptotic oracle inequality with a leading constant that tends
to 1 when the sample size goes to infinity. In particular, this implies
adaptivity to the smoothness of the regression function, even with a highly
heteroscedastic noise. Moreover, it is easy to overpenalize with penVF,
independently from the V parameter. A simulation study shows that this results
in a significant improvement on VFCV in non-asymptotic situations.


title:
Asymptotic distinguishability measures for shift-invariant quasi-free
  states of fermionic lattice systems

abstract:
  We apply the recent results of F. Hiai, M. Mosonyi and T. Ogawa
[arXiv:0707.2020, to appear in J. Math. Phys.] to the asymptotic hypothesis
testing problem of locally faithful shift-invariant quasi-free states on a CAR
algebra. We use a multivariate extension of Szego's theorem to show the
existence of the mean Chernoff and Hoeffding bounds and the mean relative
entropy, and show that these quantities arise as the optimal error exponents in
suitable settings.


title: Baryon Mass in medium with Holographic QCD

abstract:
  We study the baryon vertex (BV) in the presence of medium using DBI action
and the force balance condition between BV and the probe branes. We note that a
stable BV configuration exists only in some of the confining backgrounds. For
the system of finite density, the issue is whether there is a canonical
definition for the baryon mass in the medium. In this work, we define it as the
energy of the deformed BV satisfying the force balance condition (FBC) with the
probe brane. With FBC, lengths of the strings attached to the BV tend to be
zero while the compact branes are enlongated to mimic the string. We attribute
the deformation energy of the probe brane to the baryon-baryon interaction. We
show that for a system with heavy quarks the baryon mass drops monotonically as
a function of density while it has minimum in case of light quark system.


title: A new connection in a Riemannian manifold

abstract:
  In a Riemannian manifold, the existence of a new connection is proved. In
particular cases, this connection reduces to several symmetric, semi-symmetric
and quarter-symmetric connections; even some of them are not introduced so far.
We also find formula for curvature tensor of this new connection.


title:
Cumulative effect of Weibel-type instabilities in counterstreaming
  plasmas with non-Maxwellian anisotropies

abstract:
  Counterstreaming plasma structures are widely present in laboratory
experiments and astrophysical systems, and they are investigated either to
prevent unstable modes arising in beam-plasma experiments or to prove the
existence of large scale magnetic fields in astrophysical objects.
Filamentation instability arises in a counterstreaming plasma and is
responsible for the magnetization of the plasma. Filamentationally unstable
mode is described by assuming that each of the counterstreaming plasmas has an
isotropic Lorentzian (kappa) distribution. In this case, the filamentation
instability growth rate can reach a maximum value markedly larger than that for
a a plasma with a Maxwellian distribution function. This behaviour is opposite
to what was observed for the Weibel instability growth rate in a bi-kappa
plasma, which is always smaller than that obtained for a bi-Maxwellian plasma.
The approach is further generalized for a counterstreaming plasma with a
bi-kappa temperature anisotropy. In this case, the filamentation instability
growth rate is enhanced by the Weibel effect when the plasma is hotter in the
streaming direction, and the growth rate becomes even larger. These effects
improve significantly the efficiency of the magnetic field generation, and
provide further support for the potential role of the Weibel-type instabilities
in the fast magnetization scenarios.


title:
Intensity oscillations observed with Hinode near the south pole of the
  Sun: leakage of low frequency magneto-acoustic waves into the solar corona

abstract:
  Aims. To study intensity oscillations in the solar chromosphere/corona above
a quiet-Sun magnetic network. Methods. We analyse the time series of He II
256.32, Fe XI 188.23 and Fe XII 195.12 spectral lines observed by EUV Imaging
Spectrometer (EIS) on board Hinode near the south pole. Then we use a standard
wavelet tool to produce power spectra of intensity oscillations above the
magnetic network. Results. We get ~7 min intensity oscillations in all spectral
lines and ~13 min intensity oscillations only in He II with the probability of
~96-98 %, which probably reflects the process of magneto-acoustic wave
propagation above the network. Conclusions. We suggest that field-free cavity
areas under bipolar magnetic canopies in the vicinity of magnetic network may
serve as resonators for the magneto-acoustic waves. The cavities with
photospheric sound speed and granular dimensions may produce the waves with the
observed periods. The waves may propagate upwards in the transition
region/corona and cause observed intensity oscillations.


title: On the number of collinear triples in permutations

abstract:
  Let $\alpha:\mathbb{Z}_n\to\mathbb{Z}_n$ be a permutation and $\Psi(\alpha)$
be the number of collinear triples modulo $n$ in the graph of $\alpha$. Cooper
and Solymosi had given by induction the bound
$\min_{\alpha}\Psi(\alpha)\geq\lceil(n-1)/4\rceil$ when $n$ is a prime number.
The main purpose of this paper is to give a direct proof of that bound.
Besides, the expected number of collinear triples a permutation can have is
also been determined.


title:
Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum
  M2

abstract:
  The SL(2,Z) duality symmetry of IIB superstring is naturally realized on the
D=11 supermembrane restricted to have central charges arising from a nontrivial
wrapping. This supermembrane is minimally immersed on the target space (MIM2).
The hamiltonian of the MIM2 has a discrete quantum spectrum. It is manifestly
invariant under the SL(2,Z) symmetry associated to the conformal symmetry on
the base manifold and under a SL(2,Z) symmetry on the moduli of the target
space. The mass contribution of the string states on the MIM2 is obtained by
freezing the remaining degrees of freedom. It exactly agrees with the
perturbative spectrum of the (p,q) IIB and IIA superstring compactified on a
circle. We also construct a MIM2 in terms of a dual target space, then a (p,q)
set of non-perturbative states associated to the IIA superstring is obtained.


title:
Multiple Changes of Order of the Vortex Melting Transition in BSCCO with
  Dilute Columnar Defects

abstract:
  A low concentration of columnar defects is reported to transform a
first-order vortex lattice melting line in BSCCO crystals into alternating
segments of first-order and second-order transitions separated by two critical
points. As the density of CDs is increased, the critical points shift apart and
the range of the intermediate second-order transition expands. A third, low
temperature critical point was also observed in one sample. The measurement of
equilibrium magnetization and the mapping of the melting line down to 27K was
made possible by employment of the shaking technique.


title:
Nonlinear Laser-Induced Deformations of Liquid-Liquid Interfaces: an
  Optical Fiber Model

abstract:
  Experimentally, it turns out that radiation forces from a cw-laser on a
liquid-liquid interface are able to produce giant deformations (up to about
100\mu m), if the system is close to the critical point where the surface
tension becomes small. We present a new model for such a fingerlike
deformation, implying that the system is described as an optical fiber. One
reason for introducing such a model is that the refractive index difference in
modern experiments, such as those of the Bordeaux group, is small, of the same
order as in practical fibers in optics. It is natural therefore, to adopt the
hybrid HE_{11} mode, known from fiber theory, as the fundamental mode for the
liquid system. We show how the balance between hydrodynamical and radiation
forces leads to a stable equilibrium point for the liquid column. Also, we
calculate the narrowing of the column radius as the depth increases. Comparison
with experimental results of the Bordeaux group yields quite satisfactory
agreement as regards the column width.


title: Twisted Order Parameter applied to Dimerized Ladders

abstract:
  We apply the twisted order parameter (TOP) for dimerized quantum spin ladders
to locate the critical phases that separate gapped phases representing quantum
spin liquids of various types. Using the DMRG, method we find that the TOP is a
good order parameter for these systems regardless the number of legs. As a
check, we reproduce with DMRG and periodic boundary conditions the computations
previously done with Quantum Montecarlo for one-dimensional S=1/2, S=1, S=3/2
and S=2 Heisenberg chains with alternating bonds.


title: Chirality Quantum Phase Transition in the Dirac oscillator

abstract:
  We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator
coupling and a constant magnetic field. An interplay between opposed chirality
interactions culminates in the appearance of a relativistic quantum phase
transition, which can be fully characterized. We obtain analytical expressions
for the energy gap, order parameter, and canonical quantum fluctuations across
the critical point. Moreover, we also discuss the effect of this phase
transition on the statistics of the chiral bosonic ensemble, where its super-
or sub-Poissonian nature can be controled by means of external parameters.
Finally, we study the entanglement properties between the degrees of freedom in
the relativistic ground state, where an interesting transition between a
bi-separable and a genuinely tripartite entangled state occurs.


title:
On the existence of ground state solutions to nonlinear Schoedinger
  equations with multisingular inverse-square anisotropic potentials

abstract:
  A class of nonlinear Schroedinger equations with critical
power-nonlinearities and potentials exhibiting multiple anisotropic inverse
square singularities is investigated. Conditions on strength, location, and
orientation of singularities are given for the minimum of the associated
Rayleigh quotient to be achieved, both in the whole $\R^N$ and in bounded
domains.


title:
Von Neumann Stability Analysis of Finite Difference Schemes for
  Maxwell--Debye and Maxwell--Lorentz Equations

abstract:
  This technical report yields detailed calculations of the paper [1] (B.
Bid\'egaray-Fesquet, "Stability of FD-TD schemes for Maxwell-Debye and
Maxwell-Lorentz equations", Technical report, LMC-IMAG, 2005) which have been
however automated since (see
http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/). It deals with the
stability analysis of various finite difference schemes for Maxwell--Debye and
Maxwell--Lorentz equations. This work gives a systematic and rigorous
continuation to Petropoulos previous work [5] (P.G. Petropoulos.,"Stability and
phase error analysis of FD-TD in dispersive dielectrics", IEEE Transactions on
Antennas and Propagation, 42(1):62--69, 1994).


title: Rotated and Scaled Alamouti Coding

abstract:
  Repetition-based retransmission is used in Alamouti-modulation [1998] for
$2\times 2$ MIMO systems. We propose to use instead of ordinary repetition
so-called "scaled repetition" together with rotation. It is shown that the
rotated and scaled Alamouti code has a hard-decision performance which is only
slightly worse than that of the Golden code [2005], the best known $2\times 2$
space-time code. Decoding the Golden code requires an exhaustive search over
all codewords, while our rotated and scaled Alamouti code can be decoded with
an acceptable complexity however.


title: Perspectives on Lorentz and CPT Violation

abstract: This talk offers some comments and perspectives on Lorentz and CPT violation.


title:
Astrodynamical Space Test of Relativity using Optical Devices I (ASTROD
  I) - A class-M fundamental physics mission proposal for Cosmic Vision
  2015-2025

abstract:
  ASTROD I is a planned interplanetary space mission with multiple goals. The
primary aims are: to test General Relativity with an improvement in sensitivity
of over 3 orders of magnitude, improving our understanding of gravity and
aiding the development of a new quantum gravity theory; to measure key solar
system parameters with increased accuracy, advancing solar physics and our
knowledge of the solar system and to measure the time rate of change of the
gravitational constant with an order of magnitude improvement and the anomalous
Pioneer acceleration, thereby probing dark matter and dark energy
gravitationally. It is an international project, with major contributions from
Europe and China and is envisaged as the first in a series of ASTROD missions.
ASTROD I will consist of one spacecraft carrying a telescope, four lasers, two
event timers and a clock. Two-way, two-wavelength laser pulse ranging will be
used between the spacecraft in a solar orbit and deep space laser stations on
Earth, to achieve the ASTROD I goals. A second mission, ASTROD II is envisaged
as a three-spacecraft mission which would test General Relativity to one part
per billion, enable detection of solar g-modes, measure the solar
Lense-Thirring effect to 10 parts per million, and probe gravitational waves at
frequencies below the LISA bandwidth. In the third phase (ASTROD III or
Super-ASTROD), larger orbits could be implemented to map the outer solar system
and to probe primordial gravitational-waves at frequencies below the ASTROD II
bandwidth.


title: BPS and non BPS 7D Black Attractors in M-Theory on K3

abstract:
  We study the BPS and non BPS black attractors in 7D N=2 supergravity embedded
in 11D M-theory compactified on K3. Combining Kahler and complex moduli in
terms of SO(3) representations, we build the Dalbeault like (DL) basis for the
second cohomology of K3 and set up the fundamental relations of the special
"hyperKahler" geometry of the underlying moduli space of the 7D theory. We
study the attractor eqs of the 7D black branes by using the method of the
criticality of the effective potential and also by using the extension of the
so called 4D new attractor approach to 7D N=2 supergravity. A comment,
regarding a 6D/7D correspondence, along the line of Ceresole-Ferrara-Marrani
used for 4D/5D, ref.arXiv:0707.0964, is made.


title: On several problems about automorphisms of the free group of rank two

abstract:
  Let $F_n$ be a free group of rank $n$. In this paper we discuss three
algorithmic problems related to automorphisms of $F_2$.
  A word $u$ of $F_n$ is called positive if $u$ does not have negative
exponents. A word $u$ in $F_n$ is called potentially positive if $\phi(u)$ is
positive for some automorphism $\phi$ of $F_n$. We prove that there is an
algorithm to decide whether or not a given word in $F_2$ is potentially
positive, which gives an affirmative solution to problem F34a in [1] for the
case of $F_2$.
  Two elements $u$ and $v$ in $F_n$ are said to be boundedly translation
equivalent if the ratio of the cyclic lengths of $\phi(u)$ and $\phi(v)$ is
bounded away from 0 and from $\infty$ for every automorphism $\phi$ of $F_n$.
We provide an algorithm to determine whether or not two given elements of $F_2$
are boundedly translation equivalent, thus answering question F38c in the
online version of [1] for the case of $F_2$.
  We further prove that there exists an algorithm to decide whether or not a
given finitely generated subgroup of $F_2$ is the fixed point group of some
automorphism of $F_2$, which settles problem F1b in [1] in the affirmative for
the case of $F_2$.


title: Large Deviations for the Stochastic Shell Model of Turbulence

abstract:
  In this work we first prove the existence and uniqueness of a strong solution
to stochastic GOY model of turbulence with a small multiplicative noise. Then
using the weak convergence approach, Laplace principle for so- lutions of the
stochastic GOY model is established in certain Polish space. Thus a
Wentzell-Freidlin type large deviation principle is established utilizing
certain results by Varadhan and Bryc.


title:
Supergap anomalies in cotunneling between N-S and between S-S leads via
  a small quantum dot

abstract:
  Cotunneling current through a resonant level coupled to either normal and
superconducting or to two superconducting leads is studied for the domain of
bias voltages, V, exceeding the superconducting gap, 2\Delta. Due to the
on-site repulsion in the resonant level, cotunneling of an electron is
accompanied by creation of a quasiparticle in a superconducting lead. Energy
conservation imposes a threshold for this inelastic transport channel:
V_c=3\Delta for N-S case and \tilde{V}_c=4\Delta for the S-S case. We
demonstrate that the behavior of current near the respective thresholds is
nonanalytic, namely, \delta I^{in}(V)\propto (V-V_c)^{3/2}\Theta(V-V_c) and
\delta I^{in}(V) \propto (V-\tilde{V}_c)\Theta(V-\tilde{V}_c). Stronger anomaly
for the S-S leads is the consequence of the enhanced density of states at the
edges of the gap. In addition, the enhanced density of states makes the
threshold anomalies for two-electron cotunneling processes in the
Coulomb-blockaded regions more pronounced than for the N-N leads.


title: Exoplanet HD 209458b : Evaporation strengthened

abstract:
  Following re-analysis of Hubble Space Telescope observations of primary
transits of the extrasolar planet HD209458b at Lyman-alpha, Ben-Jaffel (2007,
BJ007) claims that no sign of evaporation is observed. Here we show that, in
fact, this new analysis is consistent with the one of Vidal-Madjar et al.
(2003, VM003) and supports the detection of evaporation. The apparent
disagreement is mainly due to the disparate wavelength ranges that are used to
derive the transit absorption depth. VM003 derives a (15+/-4)% absorption depth
during transit over the core of the stellar Lyman-alpha line (from -130 km/s to
+100 km/s), and this result agrees with the (8.9+/-2.1)% absorption depth
reported by BJ007 from a slightly expanded dataset but over a larger wavelength
range (+/-200 km/s). These measurements agree also with the (5+/-2)% absorption
reported by Vidal-Madjar et al. (2004) over the whole Lyman-alpha line from
independent, lower-resolution data. We show that stellar Lyman-alpha
variability is unlikely to significantly affect those detections. The HI atoms
must necessarily have velocities above the escape velocities and/or be outside
the Roche lobe, given the lobe shape and orientation. Absorption by HI in
HD209458b's atmosphere has thus been detected with different datasets, and now
with independent analyses. All these results strengthen the concept of
evaporating hot-Jupiters, as well as the modelization of this phenomenon.


title:
Non-gaussianity of inflationary field perturbations from the field
  equation

abstract:
  We calculate the tree-level bispectrum of the inflaton field perturbation
directly from the field equations, and construct the corresponding f_NL
parameter. Our results agree with previous ones derived from the Lagrangian. We
argue that quantum theory should only be used to calculate the correlators when
they first become classical a few Hubble times after horizon exit, the
classical evolution taking over thereafter.


title:
Exact Quantization Rule to the Kratzer-Type Potentials: An Application
  to the Diatomic Molecules

abstract:
  For any arbitrary values of $n$ and $l$ quantum numbers, we present a simple
exact analytical solution of the $D$-dimensional ($D\geq 2$) hyperradial Schr%
\"{o}dinger equation with the Kratzer and the modified Kratzer potentials
within the framework of the exact quantization rule (EQR) method. The exact
energy levels $(E_{nl})$ of all the bound-states are easily calculated from
this EQR method. The corresponding normalized hyperradial wave functions $%
(\psi_{nl}(r))$ are also calculated. The exact energy eigenvalues for these
Kratzer-type potentials are calculated numerically for the typical diatomic
molecules $LiH,$ $CH,$ $HCl,$ $CO,$ $NO,$ $O_{2},$ $N_{2}$ and $I_{2}$ for
various values of $n$ and $l$ quantum numbers. Numerical tests using the energy
calculations for the interdimensional degeneracy ($D=2-4$) for $I_{2}, $ $LiH,$
$HCl,$ $O_{2},$ $NO$ and $CO$ are also given. Our results obtained by EQR are
in exact agreement with those obtained by other methods.


title: Positive divisors in symplectic geometry

abstract:
  In this paper, we gave some explicit relations between absolute and relative
Gromov-Witten invariants. We proved that a symplectic manifold is symplectic
rationally connected if it contains a positive divisor symplectomorphic to
$P^n$.


title:
Resonant absorption in complicated plasma configurations: applications
  to multi-stranded coronal loop oscillations

abstract:
  We study the excitation and damping of transverse oscillations in a
multi-stranded model of a straight line-tied coronal loop. The transverse
geometry of our equilibrium configuration is quite irregular and more realistic
than the usual cylindrical loop model. By numerically solving the
time-dependent ideal magnetohydrodynamic equations in two dimensions we show
how the global motion of the whole bundle of strands, excited by an external
disturbance, is converted into localized Alfv\'enic motions due to the process
of resonant absorption. This process produces the attenuation of the transverse
oscillations. At any location in the structure two dominant frequencies are
found, the frequency of the global mode, or quasi-mode, and the local Alfv\'en
frequency. We find that the mechanism of mode conversion, due to the coupling
between fast and Alfv\'en waves, is not compromised by the complicated geometry
of the model. We also show that it is possible to have energy conversion not
only at the external edge of the composite loop but also inside the structure.
The implications of these results and their relationship with the observations
are discussed.


title:
Normal transport properties for a classical particle coupled to a
  non-Ohmic bath

abstract:
  We study the Hamiltonian motion of an ensemble of unconfined classical
particles driven by an external field F through a translationally-invariant,
thermal array of monochromatic Einstein oscillators. The system does not
sustain a stationary state, because the oscillators cannot effectively absorb
the energy of high speed particles. We nonetheless show that the system has at
all positive temperatures a well-defined low-field mobility over macroscopic
time scales of order exp(-c/F). The mobility is independent of F at low fields,
and related to the zero-field diffusion constant D through the Einstein
relation. The system therefore exhibits normal transport even though the bath
obviously has a discrete frequency spectrum (it is simply monochromatic) and is
therefore highly non-Ohmic. Such features are usually associated with anomalous
transport properties.


title: Abelian Toda solitons revisited

abstract:
  We present a systematic and detailed review of the application of the method
of Hirota and the rational dressing method to abelian Toda systems associated
with the untwisted loop groups of complex general linear groups. Emphasizing
the rational dressing method, we compare the soliton solutions constructed
within these two approaches, and show that the solutions obtained by the
Hirota's method are a subset of those obtained by the rational dressing method.


title: Parametrization of C-shocks. Evolution of the Sputtering of Grains

abstract:
  Context: The detection of narrow SiO lines toward the young shocks of the
L1448-mm outflow has been interpreted as a signature of the magnetic precursor
of C-shocks. In contrast with the low SiO abundances (<10E-12) in the ambient
gas, the narrow SiO emission at almost ambient velocities reveals enhanced SiO
abundances of 10E-11. This enhancement has been proposed to be produced by the
sputtering of the grain mantles at the first stages of C-shocks. However,
modelling of the sputtering of grains has usually averaged the SiO abundances
over the dissipation region of C-shocks, which cannot explain the recent
observations. Aims: To model the evolution of the gas phase abundances of SiO,
CH3OH and H2O, produced by the sputtering of grains as the shock propagates
through the ambient gas. Methods: We propose a parametric model to describe the
physical structure of C-shocks as a function of time. Using the known
sputtering yields for water mantles (with minor constituents like silicon and
CH3OH) and olivine cores by collisions with H2, He, C, O, Si, Fe and CO, we
follow the evolution of the abundances of silicon, CH3OH and H2O ejected from
grains. Results: The evolution of these abundances shows that CO seems to be
the most efficient sputtering agent in low velocity shocks. The velocity
threshold for the sputtering of silicon from the grain mantles is reduced by
5-10 km s-1 by CO compared to other models. The sputtering by CO can generate
SiO abundances of 10E-11 at the early stages of low velocity shocks, consistent
with those observed in the magnetic precursor of L1448-mm. Our model also
satisfactorily reproduce the progressive enhancement of SiO, CH3OH and H2O
observed in this outflow by the coexistence of two shocks with vs=30 and
60kms-1 within the same region.


title:
Comparison of the scaling analysis of the mixed-state magnetization data
  with direct measurements of the upper critical field in Y-123

abstract:
  By comparison of recent direct measurements of the temperature dependence of
the upper critical field $H_{c2}$ in an Y-123 high temperature superconductor
with the scaling analysis of magnetization data, collected in fields H << H_c2,
we demonstrate that that the temperature dependence of the Ginzburg-Landau
parameter kappa is negligible. Another conclusion is that the normalized
temperature dependence of H_c2 is independent of the orientation of the
magnetic field in respect to crystallographic axes of the sample. We also
discuss that isotropy of the temperature dependence of H_c2 straightforwardly
follows from the Ginzburg-Landau theory if kappa does not depend on
temperature.


title: Towards an analogue of Ihara's lemma for Shimura curves

abstract:
  The object of this work is to present the status of art of an open problem:
to provide an analogue for Shimura curves of the Ihara's lemma \cite{Ihara73}
which holds for modular curves. We will describe our direct result towards the
"Problem of Ihara" and we will present some possible approaches to it, giving a
formulation of our conjecture in terms of congruence subgroup problem for
quaternion algebras.
  Since some modular forms can be reinterpreted as elements of the cohomology
of Shimura curves, we will describe a consequence of the "Problem of Ihara"
about congruence modules of modular forms and a consequence of it about the
problem of raising the level of modular forms.


title:
Investigation of artificial domains realised by local gallium focused
  ion beam (FIB) modification of Pt/Co/Pt trilayer structures

abstract:
  We present the results of experimental investigations of magnetic switching
and magnetotransport in a new generation of magnetic devices containing
artificially patterned domains. Our devices are realised by locally reducing
the coercive field of a perpendicularly magnetised Pt (3.5 nm)/Co (0.5 nm)/Pt
(1.6 nm) trilayer structure using a gallium focused ion beam (FIB). Artificial
domain walls are created at the interfaces between dosed and undosed regions
when an external magnetic field switches the former but not the latter. We have
exploited this property to create stripe-like domains with widths down to
sub-micron lengthscales, separated by undosed regions. Using the extraordinary
Hall effect to monitor the local magnetisation we have investigated the
reversal dynamics of these artificial domains by measuring major and minor
hysteresis loops. The coercive field of regions irradiated with identical doses
systematically increases as their size decreases. In the lower branch of minor
loops, reversal is seen to occur via a few large Barkhausen events. Preliminary
measurements of transport across domain walls reveal a positive domain wall
resistance, that does not change sign from 4.2 K to 300 K.


title:
Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$
  spaces

abstract:
  For a wide family of multivariate Hausdorff operators, a new stronger
condition for the boundedness of an operator from this family on the real Hardy
space $H^1$ by means of atomic decomposition.


title:
WMAP2006: Cosmological Parameters and Large-scale Structure of the
  Universe

abstract:
  The parameters of cosmological model with cold dark matter and cosmological
constant (Lambda CDM) have been determined on a basis of three-year cosmic
microwave background observations by space mission WMAP, as well as the data on
the large-scale structure of the Universe. The data cover scales from 1 up to
10000 Mpc. The best-fit values of LambdaCDM model parameters were found by
minimization of chi^2 using the Levenberg-Markquardt approach
(Omega_Lambda=0.736+-0.065, Omega_m=0.238+-0.080, Omega_b=0.05+-0.011, h=0.68+-
0.09, sigma_8=0.73+-0.08 and n_s=0.96+-0.015). It is shown that the LambdaCDM
model with these values of the parameters agrees well with the angular power
spectrum of cosmic microwave background and with power spectra of the density
perturbations, estimated from spatial distributions of galaxies, rich galaxy
clusters and from statistics of Ly_alpha absorption lines in spectra of distant
quasars as well. The accordance of modeled characteristics of the large-scale
structure with observable ones was analyzed, and possible reasons of
significant discrepancies between some of them were considered.


title: Balanced category theory

abstract:
  Some aspects of basic category theory are developed in a finitely complete
category $\C$, endowed with two factorization systems which determine the same
discrete objects and are linked by a simple reciprocal stability law. Resting
on this axiomatization of final and initial functors and discrete
(op)fibrations, concepts such as components, slices and coslices, colimits and
limits, left and right adjunctible maps, dense maps and arrow intervals, can be
naturally defined in $\C$, and several classical properties concerning them can
be effectively proved.
  For any object $X$ of $\C$, by restricting $\C/X$ to the slices or to the
coslices of $X$, two dual "underlying categories" are obtained. These can be
enriched over internal sets (discrete objects) of $\C$: internal hom-sets are
given by the components of the pullback of the corresponding slice and coslice
of $X$. The construction extends to give functors $\C\to\Cat$, which preserve
(or reverse) slices and adjunctible maps and which can be enriched over
internal sets too.


title:
Biological Extension of the Action Principle: Endpoint Determination
  beyond the Quantum Level and the Ultimate Physical Roots of Consciousness

abstract:
  We show that when we endow the action principle with the overlooked
possibility to allow endpoint selection, it gains an enormous additional power,
which, perhaps surprisingly, directly corresponds to biological behavior. The
biological version of the least action principle is the most action principle.
For the first time, we formulate here the first principle of biology in a
mathematical form and present some of its applications of primary importance.


title: Physical information derived from the internal structure in jets

abstract:
  We present the first results on the analysis of the structures observed in
the jet of the quasar 0836+710. We obtain the ridge lines of the jet at
different epochs and several frequencies. We interpret the oscillatory
structures obtained as waves that can be attached to the growth of
instabilities. We explain how to derive information on the nature and origin of
these structures by fitting together the ridge lines at different epochs and
frequencies. Finally we show the predictive power of this approach: by
generating an artificial wave and applying the corresponding relativistic and
projection effects we show that apparent changes in the jet direction in the
inner regions of jets can be attached to the transversal motion of structures.


title:
Trusted-HB: a low-cost version of HB+ secure against Man-in-The-Middle
  attacks

abstract:
  Since the introduction at Crypto'05 by Juels and Weis of the protocol HB+, a
lightweight protocol secure against active attacks but only in a detection
based-model, many works have tried to enhance its security. We propose here a
new approach to achieve resistance against Man-in-The-Middle attacks. Our
requirements - in terms of extra communications and hardware - are surprisingly
low.


title: Order Parameters and Phase Diagram of Multiferroic RMn$_2$O$_5$

abstract:
  The generic magnetic phase diagram of multiferroic RMn$_2$O$_5$ (with R=Y,
Ho, Tb, Er, Tm), which allows different sequences of ordered magnetic
structures for different R's and different control parameters, is described
using order parameters which explicitly incorporate the magnetic symmetry. A
phenomenological magneto-electric coupling is used to explain why some of these
magnetic phases are also ferroelectric. Several new experiments, which can test
this theory, are proposed.


title:
Electronic structure of noble metal impurities in semiconductors: Cu in
  GaP

abstract:
  A numerical method for calculation of the electronic structure of transition
metal impurities in semiconductors based on the Green function technique is
developed. The electronic structure of 3d impurity is calculated within the
LDA+U version of density functional method, whereas the host electron Green
function is calculated by using the linearized augmented plane wave expansion.
The method is applied to the Cu impurity in GaP. The results of calculations
are compared with those obtained within the supercell LDA procedure. It is
shown that in the Green function approach Cu impurity has an unfilled 3d shell.
This result paves a way to explanation of the magnetic order in dilute
Ga_{1-x}Cu_xP alloys.


title: Complete positivity for time-dependent qubit master equations

abstract:
  It is shown that if the decoherence matrix corresponding to a qubit master
equation has a block-diagonal real part, then the evolution is determined by a
one-dimensional oscillator equation. Further, when the full decoherence matrix
is block-diagonal, then the necessary and sufficient conditions for completely
positive evolution may be formulated in terms of the oscillator Hamiltonian or
Lagrangian. When the solution of the oscillator equation is not known, an
explicit sufficient condition for complete positivity can still be obtained,
based on a Hamiltonian/Lagrangian inequality. A rotational form-invariance
property is used to characterise the evolution via a single first-order
nonlinear differential equation, enabling some further exact results to be
obtained. A class of master equations is identified for which complete
positivity reduces to the simpler condition of positivity.


title: Quantifying turbulence induced segregation of inertial particles

abstract:
  Particles with density different from that of the advecting turbulent fluid
cluster due to the different response of light/heavy particles to turbulent
fluctuations. This study focuses on the quantitative characterization of the
segregation of dilute poly-disperse inertial particles evolving in turbulent
flow, as obtained from Direct Numerical Simulation of the Navier-Stokes
equations. We introduce an indicator of segregation amongst particles of
different inertia and/or size, from which a length scale r_{seg} quantifying
the degree of segregation of two different types of particles is deduced.


title:
Effect of small particles on the near-wall dynamics of a large particle
  in a highly bidisperse colloidal solution

abstract:
  We consider the hydrodynamic effect of small particles on the dynamics of a
much larger particle moving normal to a planar wall in a highly bidisperse
dilute colloidal suspension of spheres. The gap $h_0$ between the large
particle and the wall is assumed to be comparable to the diameter $2a$ of the
smaller particles so there is a length-scale separation between the gap width
$h_0$ and the radius of the large particle $b<<h_0$. We use this length-scale
separation to develop a new lubrication theory which takes into account the
presence of the smaller particles in the space between the larger particle and
the wall. The hydrodynamic effect of the small particles on the motion of the
large particle is characterized by the short time (or high frequency)
resistance coefficient. We find that for small particle-wall separations $h_0$,
the resistance coefficient tends to the asymptotic value corresponding to the
large particle moving in a clear suspending fluid. For $h_0<<a$, the resistance
coefficient approaches the lubrication value corresponding to a particle moving
in a fluid with the effective viscosity given by the Einstein formula.


title: A variational principle for two-fluid models

abstract:
  A variational principle for two-fluid mixtures is proposed. The Lagrangian is
constructed as the difference between the kinetic energy of the mixture and a
thermodynamic potential conjugated to the internal energy with respect to the
relative velocity of phases. The equations of motion and a set of
Rankine-Hugoniot conditions are obtained. It is proved also that the convexity
of the internal energy guarantees the hyperbolicity of the one-dimensional
equations of motion linearized at rest.


title: The pseudobulge of NGC 1292

abstract:
  The photometric and kinematic properties of Sb NGC 1292 suggest it hosts a
pseudobulge. The properties of the stellar population of such a pseudobulge are
consistent with a slow buildup within a scenario of secular evolution.


abstract:
  The Wide-field High-resolution Infrared TElescope (WHITE) will be dedicated
in the first years of its life to carrying out a few (well focused in terms of
science objectives and time) legacy surveys.
  WHITE would have an angular resolution of ~0.3'' homogeneous over ~0.7 sq.
deg. in the wavelength range 1 - 5 um, which means that we will very
efficiently use all the available observational time during night time and day
time. Moreover, the deepest observations will be performed by summing up
shorter individual frames. We will have a temporal information that can be used
to study variable objects.
  The three key science objectives of WHITE are : 1) A complete survey of the
Magellanic Clouds to make a complete census of young stellar objects in the
clouds and in the bridge and to study their star formation history and the link
with the Milky Way. The interaction of the two clouds with our Galaxy might the
closest example of a minor merging event that could be the main driver of
galaxy evolution in the last 5 Gyrs. 2) The building of the first sample of
dusty supernovae at z<1.2 in the near infrared range (1-5 um) to constrain the
equation of state from these obscured objects, study the formation of dust in
galaxies and build the first high resolution sample of high redshift galaxies
observed in their optical frame 3) A very wide weak lensing survey over that
would allow to estimate the equation of state in a way that would favourably
compete with space projects.


title: The pseudo-index of horospherical Fano varieties

abstract:
  We prove a conjecture of L.Bonavero, C. Casagrande, O. Debarre and S. Druel,
on the pseudo-index of smooth Fano varieties, in the special case of
horospherical varieties.


title:
Is Bell's theorem relevant to quantum mechanics? On locality and
  non-commuting observables

abstract:
  Bell's theorem is a statement by which averages obtained from specific types
of statistical distributions must conform to a family of inequalities. These
models, in accordance with the EPR argument, provide for the simultaneous
existence of quantum mechanically incompatible quantities. We first recall
several contradictions arising between the assumption of a joint distribution
for incompatible observables and the probability structure of
quantum-mechanics, and conclude that Bell's theorem is not expected to be
relevant to quantum phenomena described by non-commuting observables,
irrespective of the issue of locality. Then, we try to disentangle the locality
issue from the existence of joint distributions by introducing two models
accounting for the EPR correlations but denying the existence of joint
distributions. We will see that these models do not need to resort explicitly
to non-locality: the first model relies on conservation laws for ensembles, and
the second model on an equivalence class by which different configurations lead
to the same physical predictions.


title:
Signatures of Strong Electroweak Symmetry Breaking in pp -> b \bar{b} t
  \bar{t} + X at LHC

abstract:
  We study the possible production of the $\rho$-resonance from the Strong
Electroweak Symmetry Breaking sector at LHC. Due to possibly enhanced couplings
of $\rho$ to the top and bottom quarks we focus on the process pp -> b \bar{b}
t \bar{t} where either b \bar{b} or t \bar{t} are the products of the $\rho$
decay.


title: A New Family of Random Graphs for Testing Spatial Segregation

abstract:
  We discuss a graph-based approach for testing spatial point patterns. This
approach falls under the category of data-random graphs, which have been
introduced and used for statistical pattern recognition in recent years. Our
goal is to test complete spatial randomness against segregation and association
between two or more classes of points. To attain this goal, we use a particular
type of parametrized random digraph called proximity catch digraph (PCD) which
is based based on relative positions of the data points from various classes.
The statistic we employ is the relative density of the PCD. When scaled
properly, the relative density of the PCD is a $U$-statistic. We derive the
asymptotic distribution of the relative density, using the standard central
limit theory of $U$-statistics. The finite sample performance of the test
statistic is evaluated by Monte Carlo simulations, and the asymptotic
performance is assessed via Pitman's asymptotic efficiency, thereby yielding
the optimal parameters for testing. Furthermore, the methodology discussed in
this article is also valid for data in multiple dimensions.


title: A uniqueness theorem for solution of BSDEs

abstract:
  In this note, we prove that if $g$ is uniformly continuous in $z$, uniformly
with respect to $(\oo,t)$ and independent of $y$, the solution to the backward
stochastic differential equation (BSDE) with generator $g$ is unique.


title:
On the Distribution of the Domination Number of a New Family of
  Parametrized Random Digraphs

abstract:
  We derive the asymptotic distribution of the domination number of a new
family of random digraph called proximity catch digraph (PCD), which has
application to statistical testing of spatial point patterns and to pattern
recognition. The PCD we use is a parametrized digraph based on two sets of
points on the plane, where sample size and locations of the elements of one is
held fixed, while the sample size of the other whose elements are randomly
distributed over a region of interest goes to infinity. PCDs are constructed
based on the relative allocation of the random set of points with respect to
the Delaunay triangulation of the other set whose size and locations are fixed.
We introduce various auxiliary tools and concepts for the derivation of the
asymptotic distribution. We investigate these concepts in one Delaunay triangle
on the plane, and then extend them to the multiple triangle case. The methods
are illustrated for planar data, but are applicable in higher dimensions also.


title: Superluminal dispersion relations and the Unruh effect

abstract:
  In the context of quantum gravity phenomenology, we study the Unruh effect in
the presence of superluminal dispersion relations. In particular, we estimate
the response function and the probability rate for an accelerated detector
coupled to a massless scalar field, whose dispersion relation becomes
essentially quadratic beyond a threshold momentum $k_p$. By means of
perturbative analysis, we show that superluminal dispersion induces a
correction to the Planckian spectrum, which tends to vanish as $k_p$ increases.


title: On Summatory Totient Functions

abstract:
  The lower and upper bounds are found for the leading term of summatory
totient function $\sum_{k\leq N}k^u\phi^v(k)$ in various ranges of
$u\in{\mathbb R}$ and $v\in{\mathbb Z}$.


title: Formalism of Nonequilibrium Perturbation Theory and Kondo Effect

abstract:
  The formalism of nonequilibrium perturbation theory was constructed by
Schwinger and Keldysh and then was developed with the diagrammatical technique
by Lifshitz and Pitaevskii. Until now there has been widespread application to
various researches in physics, condensed matter, plasmas, atoms and molecules,
nuclear matter etc.. In spite of this, the formalism has not been established
as perturbation theory. For example, there is no perturbative method to derive
arbitrary self-energy properly. In addition, the connection with other
formalism, e.g., the Matsubara imaginary-time perturbative formalism is
uncertain. Although there must be the relationship between self-energies in the
perturbative formalism, such basic problems remain to be solved. The solution
is given by the present work. The real-time perturbative expansion is performed
on the basis of the adiabatic theorem. As the results, the requirements of
self-energies as functions in time are demonstrated and the formulated
self-energies meet the known relations. Besides, it gives exact agreement with
functions derived by perturbative expansion in imaginary-time and analytical
continuity. As a consequence, it implies that the present formalism can be
generalized.


title:
Fast Spectral Fitting of Hard X-Ray Bremsstrahlung from Truncated
  Power-Law Electron Spectra

abstract:
  Hard X-Ray bremsstrahlung continuum spectra, such as from solar flares, are
commonly described in terms of power-law fits, either to the photon spectra
themselves or to the electron spectra responsible for them. In applications
various approximate relations between electron and photon spectral indices are
often used for energies both above and below electron low-energy cutoffs. We
examine the form of the exact relationships in various situations, and for
various cross-sections, showing that empirical relations sometimes used can be
highly misleading and consider how to improve fitting procedures. We obtain
expressions for photon spectra from single, double and truncated power-law
electron spectra for a variety of cross-sections and for the thin and thick
target models and simple analytic expressions for the Bethe-Heitler cases. We
show that above a low-energy cutoff the Kramers and Bethe-Heitler results match
reasonably well with results for exact cross-sections up to energies around 100
keV; that below the low-energy cutoff, Kramers and other constant spectral
index forms commonly used are very poor approximations to accurate results; but
that our analytical forms are a very good match. Analytical forms of the
Bethe-Heitler photon spectra from general power-law electron spectra are an
excellent match to exact results for both thin and thick targets and they
enable much faster spectral fitting than evaluation of the full spectral
integrations.


title:
Relative Density of the Random $r$-Factor Proximity Catch Digraph for
  Testing Spatial Patterns of Segregation and Association

abstract:
  Statistical pattern classification methods based on data-random graphs were
introduced recently. In this approach, a random directed graph is constructed
from the data using the relative positions of the data points from various
classes. Different random graphs result from different definitions of the
proximity region associated with each data point and different graph statistics
can be employed for data reduction. The approach used in this article is based
on a parameterized family of proximity maps determining an associated family of
data-random digraphs. The relative arc density of the digraph is used as the
summary statistic, providing an alternative to the domination number employed
previously. An important advantage of the relative arc density is that,
properly re-scaled, it is a $U$-statistic, facilitating analytic study of its
asymptotic distribution using standard $U$-statistic central limit theory. The
approach is illustrated with an application to the testing of spatial patterns
of segregation and association. Knowledge of the asymptotic distribution allows
evaluation of the Pitman and Hodges-Lehmann asymptotic efficacies, and
selection of the proximity map parameter to optimize efficiency. Furthermore
the approach presented here also has the advantage of validity for data in any
dimension.


title: Hawking-Moss Tunneling with a Dirac-Born-Infeld Action

abstract:
  The Hawking-Moss tunneling rate for a field described by the
Dirac-Born-Infeld action is calculated using a stochastic approach. We find
that the effect of the non-trivial kinetic term is to enhance the tunneling
rate, which can be exponentially significant. This result should be compared to
the DBI enhancement found in the Coleman-de Luccia case.


title: PT-symmetric deformations of Calogero models

abstract:
  We demonstrate that Coxeter groups allow for complex PT-symmetric
deformations across the boundaries of all Weyl chambers. We compute the
explicit deformations for the A_2 and G_2-Coxeter group and apply these
constructions to Calogero-Moser-Sutherland models invariant under the extended
Coxeter groups. The eigenspecta for the deformed models are real and contain
the spectra of the undeformed case as subsystem.


title: Ab Initio Study of Different Acid Molecules Interacting with H2O

abstract:
  Using the Gaussian-03 for ab initio calculations, we have studied interaction
of different acid molecules with a single water molecule. The molecular and
supermolecular optimized structures were found with the Becke-3-Lee-Yang-Parr
(B3LYP-hybrid potential) calculations of density-functional theory (DFT)
methods as well as the Moeller-Plesset second-order perturbation theory, using
the basis set of Aug-cc-pVDZ quality and the CRENBL ECP effective core
potential for molecules containing heavy iodine atom. Possible isomers of
studied acids and supermolecules, consisting of acid molecules coupled with a
single water molecule, are shown. Energies, zero-point energies (ZPEs), thermal
enthalpies and free energies, as well as the corresponding binding energies for
the theoretical methods were calculated. It was found that optimized structures
of supermolecular isomers with lowest energies corresponding to the global
minimum on the potential energy surfaces can be different for both theories.
The simplest structure acids H2S and H2Se, forming acid-water supermolecules,
can give clear evidence of disagreement of the two theoretical methods
concerning optimization of lowest energy structures, because the B3LYP-DFT
method gives the lowest-energy structure for the first supermolecular isomer,
but the MP2 method for the second possible isomer. A dramatic difference
between potential energy surfaces for both theories applying to the optimized
structure finding of the H2SO3-H2O supermolecular isomers was found, because
MP2 supermolecular geometries cannot exist for the corresponding B3LYP-DFT
ones, for which the frequency characteristics of the supermolecular isomers
were also calculated. In general, the binding energies and ZPE ones for the MP2
method are 10-15% larger than those for the B3LYP-DFT method.

categories: physics.chem-ph physics.atm-clus physics.bio-ph physics.comp-ph physics.med-ph physics.space-ph


title: Bounds on Effective Hamiltonians for Stabilizer Codes

abstract:
  This manuscript introduces various notions of k-locality of stabilizer codes
inherited from the associated stabilizer groups. A choice of generators for the
group leads to a Hamiltonian with the code in its groundspace, while a
Hamiltonian holding the code in its groundspace might be called effective if
its locality is less than that of a natural choice of generators (or any
choice). This paper establishes some conditions under which effective
Hamiltonians for stabilizer codes do not exist. Our results simplify in the
cases of Calderbank-Shor-Steane stabilizer codes and topologically-ordered
stabilizer codes arising from surface cellulations.


title:
Numerical simulations of multi-scale astrophysical problems: The example
  of Type Ia supernovae

abstract:
  Vastly different time and length scales are a common problem in numerical
simulations of astrophysical phenomena. Here, we present an approach to
numerical modeling of such objects on the example of Type Ia supernova
simulations. The evolution towards the explosion proceeds on much longer time
scales than the explosion process itself. The physical length scales relevant
in the explosion process cover 11 orders of magnitude and turbulent effects
dominate the physical mechanism. Despite these challenges, three-dimensional
simulations of Type Ia supernova explosions have recently become possible and
pave the way to a better understanding of these important astrophysical
objects.


title:
Heegaard Floer invariants of Legendrian knots in contact
  three--manifolds

abstract:
  We define invariants of null--homologous Legendrian and transverse knots in
contact 3--manifolds. The invariants are determined by elements of the knot
Floer homology of the underlying smooth knot. We compute these invariants, and
show that they do not vanish for certain non--loose knots in overtwisted
3--spheres. Moreover, we apply the invariants to find transversely non--simple
knot types in many overtwisted contact 3--manifolds.


title:
Lithographic mechanical break junctions for single-molecule measurements
  in vacuum: possibilities and limitations

abstract:
  We have investigated electrical transport through the molecular model systems
benzenedithiol, benzenediamine, hexanedithiol and hexanediamine. Conductance
histograms under different experimental conditions indicate that measurements
using mechanically controllable break junctions in vacuum are limited by the
surface density of molecules at the contact. Hexanedithiol histograms typically
exhibit a broad peak around 7 * 10^{-4} G_0. In contrast to recent results on
STM-based break junctions in solution we find that the spread in
single-molecule conductance is not reduced by amino anchoring groups.
Histograms of hexanediamine exhibit a very wide peak around 4 * 10^{-4} G_0.
For both benzenedithiol and benzenediamine we observe a large variability in
low-bias conductance. We attribute these features to the slow breaking of the
lithographic mechanically controllable break junctions and the absence of a
solvent that may enable molecular readsorption after bond breaking.
Nevertheless, we have been able to acquire reproducible current-voltage
characteristics of benzenediamine and benzenedithiol using a statistical
measurement approach. Benzenedithiol measurements yield a conductance gap of
about 0.9 V at room temperature and 0.6 V at 77 K. In contrast, the
current-voltage characteristics of benzenediamine-junctions typically display
conductance gaps of about 0.9 V at both temperatures.


title: A problem on polynomial maps over finite fields

abstract:
  This is a short note that explains a problem on polynomial maps over finite
fields for non-experts. The problem is: Do there exist odd polynomial
automorphisms over the finite fields with 4,8,16,32,64,... elements? The
explanation is very, very basic. Also, the background of the problem is given,
and why it is of such importance. This all with the idea that the problem
enters the world of discrete mathematics, and can be approached from completely
different angles than normally used by people working in Affine Algebraic
Geometry.


title:
Verwey transition in Fe$_{3}$O$_{4}$ at high pressure: quantum critical
  behavior at the onset of metallization

abstract:
  We provide evidence for the existence of a {\em quantum critical point} at
the metallization of magnetite Fe$_{3}$O$_{4}$ at an applied pressure of $p_{c}
\approx 8$ GPa. We show that the present ac magnetic susceptibility data
support earlier resistivity data. The Verwey temperature scales with pressure
$T_{V}\sim (1-p/p_{c})^{\nu}$, with $\nu\sim 1/3$. The resistivity data shows a
temperature dependence $\rho(T)=\rho_{0}+AT^{n}$, with $n\simeq 3$ above and
2.5 at the critical pressure, respectively. This difference in $n$ with
pressure is a sign of critical behavior at $p_{c}$. The magnetic susceptibility
is smooth near the critical pressure, both at the Verwey transition and near
the ferroelectric anomaly. A comparison with the critical behavior observed in
the Mott-Hubbard and related systems is made.


title:
Region of variability for certain classes of univalent functions
  satisfying differential inequalities

abstract:
  In this paper we determine the region of variability for certain subclasses
of univalent functions satisfying differential inequalities. In the final
section we graphically illustrate the region of variability for several sets of
parameters.


title:
Time--space white noise eliminates global solutions in reaction
  diffusion equations

abstract:
  We prove that perturbing the reaction--diffusion equation $u_t=u_{xx} +
(u_+)^p$ ($p>1$), with time--space white noise produces that solutions explodes
with probability one for every initial datum, opposite to the deterministic
model where a positive stationary solution exists.


title: Lectures on Anomalies

abstract:
  These lectures on anomalies are relatively self-contained and intended for
graduate students who are familiar with the basics of quantum field theory. We
begin with several derivations of the abelian anomaly: anomalous transformation
of the measure, explicit computation of the triangle Feynman diagram, relation
to the index of the Euclidean Dirac operator. The chiral (non-abelian) gauge
anomaly is derived by evaluating the anomalous triangle diagram with three
non-abelian gauge fields coupled to a chiral fermion. We discuss in detail the
relation between anomaly, current non-conservation and non-invariance of the
effective action, with special emphasis on the derivation of the anomalous
Slavnov-Taylor/Ward identities. We show why anomalies always are finite and
local. A general characterization is given of gauge groups and fermion
representations which may lead to anomalies in four dimensions, and the issue
of anomaly cancellation is discussed, in particular the classical example of
the standard model.
  Then, we move to more formal developments and arbitrary even dimensions.
After introducing a few basic notions of differential geometry, in particular
characteristic classes, we derive the descent equations. We prove the
Wess-Zumino consistency condition and show that relevant anomalies correspond
to BRST cohomologies at ghost number one. We discuss why and how anomalies are
related to characteristic classes in two more dimensions and outline their
computation in terms of the index of an appropriate Dirac operator. Finally we
derive the gauge and gravitational anomalies in arbitrary even dimensions from
the appropriate index and explain the anomaly cancellations in ten-dimensional
IIB supergravity and in type I and heterotic superstrings.


title: A note on families of hyperelliptic curves

abstract:
  We give a stack-theoretic proof for some results on families of hyperelliptic
curves.


title: Slow light in saturable absorbers

abstract:
  In connection with the experiments recently achieved on doped crystals,
biological samples, doped optical fibers and semiconductor heterostructures, we
revisit the theory of the propagation of a pulse-modulated light in a saturable
absorber. Explicit analytical expressions of the transmitted pulse are
obtained, enabling us to determine the parameters optimizing the time-delay of
the transmitted pulse with respect to the incident pulse. We finally compare
the maximum fractional delay or figure of merit so attainable to those which
have been actually demonstrated in the experiments.


title:
Highly Relativistic Motions of Spinning Particles According to Mathisson
  Equations

abstract:
  The physical effects following from the Mathisson equations at the highly
relativistic motions of a spinning test particle relative to a Schwarzschild
mass are discussed. The corresponding numerical estimates are presented.


title:
The Use of Domination Number of a Random Proximity Catch Digraph for
  Testing Spatial Patterns of Segregation and Association

abstract:
  Priebe et al. (2001) introduced the class cover catch digraphs and computed
the distribution of the domination number of such digraphs for one dimensional
data. In higher dimensions these calculations are extremely difficult due to
the geometry of the proximity regions; and only upper-bounds are available. In
this article, we introduce a new type of data-random proximity map and the
associated (di)graph in $\mathbb R^d$. We find the asymptotic distribution of
the domination number and use it for testing spatial point patterns of
segregation and association.


title: A Multi-Scale Study of IR and Radio Emission from M33

abstract:
  The origin of the tight radio--IR correlation in galaxies has not been fully
understood. One reason is the uncertainty about which heating sources (stars or
diffuse interstellar radiation field)provide the energy that is absorbed by
dust and re-radiated in IR. Another problem is caused by comparing the IR
emission with the thermal and nonthermal components of the radio continuum
emission separated by simplistically assuming a constant nonthermal spectral
index. We use the data at the $Spitzer$ MIPS wavelengths of 24, 70, and 160
$\mu$m, as well as recent radio continuum map at 3.6 cm observed with the
100--m Effelsberg telescope. Using the wavelet transformation, we separate
diffuse emission components from compact sources and study the radio-IR
correlation at various scales. We also investigate the IR correlations with the
thermal and nonthermal radio emissions separated by our developed method. A
H$\alpha$ map serves as a tracer of star forming regions.


title:
Quasiparticle relaxation in optically excited high-Q superconducting
  resonators

abstract:
  The quasiparticle relaxation time in superconducting films has been measured
as a function of temperature using the response of the complex conductivity to
photon flux. For tantalum and aluminium, chosen for their difference in
electron-phonon coupling strength, we find that at high temperatures the
relaxation time increases with decreasing temperature, as expected for
electron-phonon interaction. At low temperatures we find in both
superconducting materials a saturation of the relaxation time, suggesting the
presence of a second relaxation channel not due to electron-phonon interaction.


title: The hypertoric intersection cohomology ring

abstract:
  We present a functorial computation of the equivariant intersection
cohomology of a hypertoric variety, and endow it with a natural ring structure.
When the hyperplane arrangement associated with the hypertoric variety is
unimodular, we show that this ring structure is induced by a ring structure on
the equivariant intersection cohomology sheaf in the equivariant derived
category. The computation is given in terms of a localization functor which
takes equivariant sheaves on a sufficiently nice stratified space to sheaves on
a poset.


title: Variations of the Radio Synchrotron Spectral Index in M33

abstract:
  We determine the variation in the nonthermal radio spectral index in the
nearby spiral galaxy M33. We separate the thermal and nonthermal components of
the radio continuum emission without the assumption of a constant nonthermal
spectral index. Using the Spitzer FIR data at 70 and 160 $\mu$m and a standard
dust model, we de-redden the H$\alpha$ emission. The extinction-corrected
H$\alpha$ emission serves as a template for the thermal free-free radio
emission. Subtracting from the observed 3.6 and 20cm emission (Effelsberg and
the VLA) this free-free emission, we obtain maps of the nonthermal intensity
and spectral index.


title: Spin entanglement using coherent light and cavity-QED

abstract:
  A scheme for probabilistic entanglement generation between two distant single
electron doped quantum dots, each placed in a high-Q microcavity, by detecting
strong coherent light which has interacted dispersively with both subsystems
and experienced Faraday rotation due to the spin selective trion transitions is
discussed. In order to assess the applicability of the scheme for distant
entanglement generation between atomic qubits proposed by T.D. Ladd et al. [New
J. Phys. 8, 184 (2006)] to two distant quantum dots, one needs to understand
the limitations imposed by hyperfine interactions of the quantum dot spin with
the nuclear spins of the material and by non-identical quantum dots.
Feasibility is displayed by calculating the fidelity for Bell state generation
analytically within an approximate framework. The fidelity is evaluated for a
wide range of parameters and different pulse lengths, yielding a trade-off
between signal and decoherence, as well as a set of optimal parameters.
Strategies to overcome the effect of non-identical quantum dots on the fidelity
are examined and the timescales imposed by the nuclear spins are discussed,
showing that efficient entanglement generation is possible with distant quantum
dots. In this context, effects due to light hole transitions become important
and have to be included. The scheme is discussed for one- as well as for
two-sided cavities, where one must be careful with reflected light which
carries spin information. The validity of the approximate method is checked by
a more elaborate semiclassical simulation which includes trion formation.


title: Semi-classical analysis of a random walk on a manifold

abstract:
  We prove a sharp rate of convergence to stationarity for a natural random
walk on a compact Riemannian manifold $(M,g)$. The proof includes a detailed
study of the spectral theory of the associated operator.


title:
Multifractional, multistable, and other processes with prescribed local
  form

abstract:
  We present a general method for constructing stochastic processes with
prescribed local form. Such processes include variable amplitude
multifractional Brownian motion, multifractional $\alpha$-stable processes, and
multistable processes, that is processes that are locally $\alpha(t)$-stable
but where the stability index $\alpha(t)$ varies with $t$. In particular we
construct multifractional multistable processes where both the local
self-similarity and stability indices vary.


title: Optimal and better transport plans

abstract:
  We consider the Monge-Kantorovich transport problem in a purely measure
theoretic setting, i.e. without imposing continuity assumptions on the cost
function. It is known that transport plans which are concentrated on c-monotone
sets are optimal, provided the cost function c is either lower semi-continuous
and finite, or continuous and may possibly attain the value infty. We show that
this is true in a more general setting, in particular for merely Borel
measurable cost functions provided that {c=infty} is the union of a closed set
and a negligible set. In a previous paper Schachermayer and Teichmann
considered strongly c-monotone transport plans and proved that every strongly
c-monotone transport plan is optimal. We establish that transport plans are
strongly c-monotone if and only if they satisfy a "better" notion of optimality
called robust optimality.


title:
Stabilization and limit theorems for geometric functionals of Gibbs
  point processes

abstract:
  Given a Gibbs point process $\P^{\Psi}$ on $\R^d$ having a weak enough
potential $\Psi$, we consider the random measures $\mu_\la := \sum_{x \in
\P^{\Psi} \cap Q_\la} \xi(x, \P^{\Psi} \cap Q_\la) \delta_{x/\la^{1/d}}$, where
$Q_{\la} := [-\la^{1/d}/2,\la^{1/d}/2]^d$ is the volume $\la$ cube and where
$\xi(\cdot,\cdot)$ is a translation invariant stabilizing functional. Subject
to $\Psi$ satisfying a localization property and translation invariance, we
establish weak laws of large numbers for $\la^{-1} \mu_\la(f)$, $f$ a bounded
test function on $\R^d$, and weak convergence of $\la^{-1/2} \mu_\la(f),$
suitably centered, to a Gaussian field acting on bounded test functions. The
result yields limit laws for geometric functionals on Gibbs point processes
including the Strauss and area interaction point processes as well as more
general point processes defined by the Widom-Rowlinson and hard-core model. We
provide applications to random sequential packing on Gibbsian input, to
functionals of Euclidean graphs, networks, and percolation models on Gibbsian
input, and to quantization via Gibbsian input.


title: Astro-quark matter: a challenge facing astroparticle physics

abstract:
  Quark matter both in terrestrial experiment and in astrophysics is briefly
reviewed. Astrophysical quark matter could appear in the early Universe, in
compact stars, and as cosmic rays. Emphasis is put on quark star as the nature
of pulsars. Possible astrophysical implications of experiment-discovered sQGP
are also concisely discussed.


title: Possibility of Exotic States in the Upsilon system

abstract:
  Recent data from Belle show unusually large partial widths Upsilon(5S) -->
Upsilon(1S) pi^+pi^- and \Upsilon(5S) --> \Upsilon(2S) pi^+ pi^-. The Z(4430)
narrow resonance also reported by Belle in psi' pi^+ spectrum has the
properties expected of a (cbar c u dbar) charged isovector tetraquark T^{+-}_cc
The analogous state T^{+-} in the bottom sector might mediate anomalously large
cascade decays in the Upsilon system, Upsilon(mS) --> T^{+-}_bb pi^{-+} -->
Upsilon(nS) pi^+ \pi^-, with a tetraquark-pion intermediate state. We suggest
looking for the (bbar b u dbar) tetraquark in these decays as peaks in the
invariant mass of Upsilon(1S) pi or Upsilon(2S) pi systems. The (bbar b u sbar)
tetraquark can appear in the observed decays Upsilon(5S) --> Upsilon(1S) K^+
K^- as a peak in the invariant mass of Upsilon(1S) K system. We review the
model showing that these tetraquarks are below the two heavy meson threshold,
but respectively above the Upsilon pi pi and Upsilon K Kbar thresholds.


title: A second-order identity for the Riemann tensor and applications

abstract:
  A second-order differential identity for the Riemann tensor is obtained, on a
manifold with symmetric connection. Several old and some new differential
identities for the Riemann and Ricci tensors descend from it. Applications to
manifolds with Recurrent or Symmetric structures are discussed. The new
structure of K-recurrency naturally emerges from an invariance property of an
old identity by Lovelock.


title:
Kinetics of a Network of Vortex Loops in He II and a Theory of
  Superfluid Turbulence

abstract:
  A theory is developed to describe the superfluid turbulence on the base of
kinetics of the merging and splitting vortex loops. Because of very frequent
reconnections the vortex loops (as a whole) do not live long enough to perform
any essential evolution due to the deterministic motion. On the contrary, they
rapidly merge and split, and these random recombination processes prevail over
other slower dynamic processes. To develop quantitative description we take the
vortex loops to have a Brownian structure with the only degree of freedom,
which is the length $l$ of the loop. We perform investigation on the base of
the Boltzmann type kinetic equation for the distribution function $n(l)$ of
number of loops with length $l$. By use of the special ansatz in the collision
integral we have found the exact power-like solution to kinetic equation in the
stationary case. This solution is not (thermodynamically) equilibrium, but on
the contrary, it describes the state with two mutual fluxes of the length (or
energy) in space of sizes of the vortex loops. The term flux means just
redistribution of length (or energy) among the loops of different sizes due to
reconnections. Analyzing this solution we drew several results on the structure
and dynamics of the vortex tangle in the turbulent superfluid helium. In
particular, we evaluated the mean radius of the curvature and the full rate of
the reconnection events. We also studied the evolution of the full length of
vortex loops per unit volume-the so-called vortex line density. It is shown
this evolution to obey the famous Vinen equation. The properties of the Vinen
equation from the point of view of the developed approach had been discussed.


title: Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field

abstract:
  The Mathisson equations under the Frenkel-Mathisson supplementary condition
are studied in a Schwarzschild field. The choice of solutions, which describe
the motions of the proper center of mass of a spinning test particle, is
discussed, and the calculation procedure for highly relativistic motions is
proposed. The very motions are important for astrophysics while investigating
possible effects of the gravitational spin-orbit interaction on the particle's
world line and trajectory.


title:
Electronic correlations decimate the ferroelectric polarization of
  multiferroic HoMn2O5

abstract:
  We show that electronic correlations decimate the intrinsic ferroelectric
polarization of the recently discovered class of multiferroic manganites
RMn$_2$O$_5$, where R is a rare earth element. Such is manifest from {\it ab
initio} bandstructure computations that account for the strong local Coulomb
interactions between the manganese 3d electrons --the root of magnetism in
these materials. When including these the computed electronic, magnetic and
lattice structure of multiferroic HoMn$_2$O$_5$ results in an amplitude and
direction of polarization that is in accordance with experiment. The
microscopic mechanism behind the decimation is a near cancellation of the ionic
polarization induced by ferroelectric lattice displacements and the electronic
one caused by valence charge redistributions.


title: A family of local rings with rational Poincar\'e Series

abstract:
  In this note we compute the Poincare Series of almost stretched Gorenstein
local rings. It turns out that it is rational


title:
Evolution of perturbations of squashed Kaluza-Klein black holes: escape
  from instability

abstract:
  The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild
black holes with asymptotic flatness or the black strings even at energies for
which the KK modes are not excited yet, so that squashed KK black holes open a
window in higher dimensions. Another important feature is that the squashed KK
black holes are apparently stable and, thereby, let us avoid the
Gregory-Laflamme instability. In the present paper, the evolution of scalar and
gravitational perturbations in time and frequency domains is considered for
these squashed KK black holes. The scalar field perturbations are analyzed for
general rotating squashed KK black holes. Gravitational perturbations for the
so called zero mode are shown to be decayed for non-rotating black holes, in
concordance with the stability of the squashed KK black holes. The correlation
of quasinormal frequencies with the size of extra dimension is discussed.