title: Notes on the Heegaard-Floer Link Surgery Spectral Sequence

abstract:
  This largely technical paper is divided into two parts: part I: An account of
P. Ozsvath and Z. Szabo's construction of the link surgery spectral sequence.
There are no new results here, but this part slightly modifies and expands
their proof and is included as an aid to part II. part II: Some modifications
of the spectral sequence suitable for knot Floer homology; an exposition of the
invariance of the spectral sequence, under a suitable equivalence, from
alterations of the underlying bouquet; and an account of the morphisms induced
on the spectral sequences by suitable four dimensional cobordisms and how they
depend upon the four manifold. This is the author's effort to investigate a
question at the end of the introduction to P. Ozsvath's and Z. Szabo's paper
"On the Heegaard-Floer homology of double branched covers."


title: A Bitter Pill: The Primordial Lithium Problem Worsens

abstract:
  The lithium problem arises from the significant discrepancy between the
primordial 7Li abundance as predicted by BBN theory and the WMAP baryon
density, and the pre-Galactic lithium abundance inferred from observations of
metal-poor (Population II) stars. This problem has loomed for the past decade,
with a persistent discrepancy of a factor of 2--3 in 7Li/H. Recent developments
have sharpened all aspects of the Li problem. Namely: (1) BBN theory
predictions have sharpened due to new nuclear data, particularly the
uncertainty on 3He(alpha,gamma)7Be, has reduced to 7.4%, and with a central
value shift of ~ +0.04 keV barn. (2) The WMAP 5-year data now yields a cosmic
baryon density with an uncertainty reduced to 2.7%. (3) Observations of
metal-poor stars have tested for systematic effects, and have reaped new
lithium isotopic data. With these, we now find that the BBN+WMAP predicts 7Li/H
= (5.24+0.71-0.67) 10^{-10}. The Li problem remains and indeed is exacerbated;
the discrepancy is now a factor 2.4--4.3 or 4.2sigma (from globular cluster
stars) to 5.3sigma (from halo field stars). Possible resolutions to the lithium
problem are briefly reviewed, and key nuclear, particle, and astronomical
measurements highlighted.


title: Nanoscale freezing of the 2D spin liquid Pr$_{3}$Ga$_{5}$SiO$_{14}$

abstract:
  In this letter, we report on the single crystal growth and physical
characterization of the distorted kagom\'{e} system Pr$_3$Ga$_5$SiO$_{14}$. It
is found that at zero magnetic field the system shows no magnetic order down to
0.035 K and exhibits a $T^{2}$ behavior for the specific heat at low
temperatures, indicative of a gapless 2D spin liquid state. Application of an
applied field induces nanoscale islands of ordered spins, with a concomitant
reduction of the $T^{2}$ specific heat term. This state could be a possible
ferro-spin nematic ordering stabilized out of an unusual spin liquid state.


title: Gravitinos Tunneling from Black Holes

abstract:
  Black hole radiation of gravitinos is investigated as the classically
forbidden tunneling of spin-3/2 fermions through an event horizon. We show that
all four spin states of the gravitino yield the same emission temperature, and
retrieve the Unruh temperature in a Rindler spacetime as well as the Hawking
temperature for a Kerr-Newman charged rotating black hole.


title:
Micromagic clock: microwave clock based on atoms in an engineered
  optical lattice

abstract:
  We propose a new class of atomic microwave clocks based on the hyperfine
transitions in the ground state of aluminum or gallium atoms trapped in optical
lattices. For these elements magic wavelengths exist at which both levels of
the hyperfine doublet are shifted at the same rate by the lattice laser field,
cancelling its effect on the clock transition. Our analysis of various
systematic effects shows that, while offering an improved control over
systematic errors, the accuracy of the proposed microwave clock is competitive
to that of the state-of-the-art primary frequency standard.


title:
More bijective Catalan combinatorics on permutations and on signed
  permutations

abstract:
  In this paper, we construct bijections between Dyck paths, noncrossing
partitions, and 231-avoiding permutations, which send the area statistic on
Dyck paths to the inversion number on noncrossing partitions and on
231-avoiding permutations. This bijection has the additional property that it
simultaneously sends the major index on Dyck paths to the sum of the major
index and the inverse major index on noncrossing partitions and on 231-avoiding
permutations, respectively. Moreover, we provide generalizations of these
constructions to the group of signed permutations.


title:
Planet-bound dark matter and the internal heat of Uranus, Neptune, and
  hot-Jupiter exoplanets

abstract:
  We suggest that accretion of planet-bound dark matter by the Jovian planets,
and by hot-Jupiter exoplanets, could be a significant source of their internal
heat. The anomalously low internal heat of Uranus would then be explained if
the collision believed to have tilted the axis of Uranus also knocked it free
of most of its associated dark matter cloud. Our considerations focus on the
efficient capture of non-self-annihilating dark matter, but could also apply to
self-annihilating dark matter, provided the capture efficiency is small enough
that the earth heat balance constraint is obeyed.


title:
HAWK-I imaging of the X-ray luminous galaxy cluster XMMU J2235.3-2557:
  The red sequence at z=1.39

abstract:
  We use HAWK-I, the recently-commissioned near-IR imager on Yepun (VLT-UT4),
to obtain wide-field, high-resolution images of the X-ray luminous galaxy
cluster XMMU J2235.3-2557 in the J and Ks bands, and we use these images to
build a colour-magnitude diagram of cluster galaxies. Galaxies in the core of
the cluster form a tight red sequence with a mean J-Ks colour of 1.9 (Vega
system). The intrinsic scatter in the colour of galaxies that lie on the red
sequence is similar to that measured for galaxies on the red sequence of the
Coma cluster. The slope and location of the red sequence can be modelled by
passively evolving the red sequence of the Coma cluster backwards in time.
Using simple stellar population (SSP) models, we find that galaxies in the core
of XMMU J2235.3-2557 are, even at z=1.39, already 3 Gyr old, corresponding to a
formation redshift of z ~ 4. Outside the core, the intrinsic scatter and the
fraction of galaxies actively forming stars increase substantially. Using SSP
models, we find that most of these galaxies will join the red sequence within
1.5 Gyr. The contrast between galaxies in the cluster core and galaxies in the
cluster outskirts indicates that the red sequence of XMMU J2235.3-2557 is being
built from the dense cluster core outwards.


title: Physics of the light quarks

abstract:
  These lecture notes concern recent developments in our understanding of the
low energy properties of QCD. Significant progress has been made on the lattice
and the beautiful experimental results on the Ke4 and K->3pi decays, as well as
those on pionic atoms also confirm the results obtained on the basis of Chiral
Perturbation Theory. There is an exception: one of the precision experiments on
Kmu3 decay is in flat contradiction with the Callan-Treiman relation. If
confirmed, this would indicate physics beyond the Standard Model: right-handed
quark couplings of the W-boson, for instance. Furthermore, I discuss two
examples where the estimates of the effective coupling constants based on
saturation by resonances appear to fail.
  In the second part, the progress made in extending the range of validity of
the effective theory with dispersive methods is reviewed. In particular, I draw
attention to an exact formula, which expresses the mass and width of a
resonance in terms of observable quantities. The formula removes the
ambiguities inherent in the analytic continuation from the real axis into the
complex plane, which plagued previous determinations of the pole positions
associated with broad resonances. In particular, it can now be demonstrated
that the lowest resonance of QCD carries the quantum numbers of the vacuum.


title:
Crystal Growth and Anisotropic Magnetic Properties of RAg$_2$Ge$_2$ (R =
  Pr, Nd and Sm) Single Crystals

abstract:
  We report the single crystal growth and anisotropic magnetic properties of
the tetragonal RAg$_2$Ge$_2$ (R = Pr, Nd and Sm) compounds which crystallize in
the ThCr$_2$Si$_2$ type crystal structure with the space group \textit{I4/mmm}.
The single crystals of RAg$_2$Ge$_2$ (R = Pr, Nd and Sm) were grown by
self-flux method using Ag:Ge binary alloy as flux. From the magnetic studies on
single crystalline samples we have found that PrAg$_2$Ge$_2$ and NdAg$_2$Ge$_2$
order antiferromagnetically at 12 K and 2 K respectively, thus corroborating
the earlier polycrystalline results. SmAg$_2$Ge$_2$ also orders
antiferromagnetically at 9.2 K. The magnetic susceptibility and magnetization
show a large anisotropy and the easy axis of magnetization for PrAg$_2$Ge$_2$
and NdAg$_2$Ge$_2$ is along the [100] direction where as it changes to [001]
direction for SmAg$_2$Ge$_2$. Two metamagnetic transitions were observed in
NdAg$_2$Ge$_2$ at $H_{\rm m1}$ = 1.25 T and $H_{\rm m2}$ =3.56 T for the field
parallel to [100] direction where as the magnetization along [001] direction
was linear indicating the hard axis of magnetization.


title: Fast Intrinsic Mode Decomposition and Filtering of Time Series Data

abstract:
  The intrinsic mode function (IMF) provides adaptive function bases for
nonlinear and non-stationary time series data. A fast convergent iterative
method is introduced in this paper to find the IMF components of the data, the
method is faster and more predictable than the Empirical Mode Decomposition
method devised by the author of Hilbert Huang Transform. The approach is to
iteratively adjust the control points on the data function corresponding to the
extrema of the refining IMF, the control points of the residue function are
calculated as the median of the straight line segments passing through the data
control points, the residue function is then constructed as the cubic spline
function of the median points. The initial residue function is simply
constructed as the straight line segments passing through the extrema of the
first derivative of the data function. The refining IMF is the difference
between the data function and the improved residue function. The IMF found
reveals all the riding waves in the whole data set. A new data filtering method
on frequency and amplitude of IMF is also presented with the similar approach
of finding the residue on the part to be filtered out. The program to
demonstrate the method is distributed under BSD open source license.


title:
Impact of the Meissner effect on magnetic micro traps for neutral atoms
  near superconducting thin films

abstract:
  We theoretically evaluate changes in the magnetic potential arising from the
magnetic field near superconducting thin films. An example of an atom chip
based on a three-wire configuration has been simulated in the superconducting
and the normal conducting state. Inhomogeneous current densities within the
superconducting wires were calculated using an energy-minimization routine
based on the London theory. The Meissner effect causes changes to both trap
position and oscillation frequencies at short distances from the
superconducting surface. Superconducting wires produce much shallower micro
traps than normal conducting wires. The results presented in this paper
demonstrate the importance of taking the Meissner effect into account when
designing and carrying out experiments on magnetically trapped neutral atoms
near superconducting surfaces.


title: Optimal fidelity of teleportation of coherent states and entanglement

abstract:
  We study the Braunstein-Kimble protocol for the continuous variable
teleportation of a coherent state. We determine lower and upper bounds for the
optimal fidelity of teleportation, maximized over all local Gaussian operations
for a given entanglement of the two-mode Gaussian state shared by the sender
(Alice) and the receiver (Bob). We also determine the optimal local
transformations at Alice and Bob sites and the corresponding maximum fidelity
when one restricts to local trace-preserving Gaussian completely positive maps.


title: Tachyonic Universes in Patch Cosmologies with $\Omega>1$

abstract:
  In this article we study closed inflationary universe models by means of a
tachyonic field. We described a general treatment for created a universe with
$\Omega>1$ in patch cosmology, which is able to represent General Relativity,
Gauss-Bonnet or Randall-Sundrum patches. We use recent data from astronomical
observations to constrain the parameters appearing in our model.


title: Projective Connections and the Algebra of Densities

abstract:
  Projective connections first appeared in Cartan's papers in the 1920's. Since
then they have resurfaced periodically in, for example, integrable systems and
perhaps most recently in the context of so called projectively equivariant
quantisation. We recall the notion of projective connection and describe its
relation with the algebra of densities on a manifold. In particular, we
construct a Laplace-type operator on functions using a Thomas projective
connection and a symmetric contravariant tensor of rank 2 (`upper metric').


title:
Cooperative response of Pb(ZrTi)O$_3$ nanoparticles to curled electric
  fields

abstract:
  Using first-principles based effective Hamiltonian and finite temperature
Monte Carlo simulations we investigate cooperative responses, as well as
microscopic mechanism for vortex switching, in zero-dimensional
Pb(Zr$_{0.5}$Ti$_{0.5}$)O$_3$ nanoparticles under curled electric fields. We
find that the generally accepted domain coexistence mechanism is not valid for
toroid switching. Instead dipoles are shown to display unusual collective
behaviors by forming a new vortex with perpendicular (but not opposite) toroid
moment. The strong correlation between the new and original vortices is
revealed to be critical for reversing toroid moment. Microscopic insight for
the puzzling collective response is discussed. Based on our finding, we further
describe a technological approach that is able to drastically reduce the
magnitude of the curled electric field needed for vortex switching.


title:
Efficient tests for equivalence of hidden Markov processes and quantum
  random walks

abstract:
  While two hidden Markov process (HMP) resp. quantum random walk (QRW)
parametrizations can differ from one another, the stochastic processes arising
from them can be equivalent. Here a polynomial-time algorithm is presented
which can determine equivalence of two HMP parametrizations $\cM_1,\cM_2$ resp.
two QRW parametrizations $\cQ_1,\cQ_2$ in time $O(|\S|\max(N_1,N_2)^{4})$,
where $N_1,N_2$ are the number of hidden states in $\cM_1,\cM_2$ resp. the
dimension of the state spaces associated with $\cQ_1,\cQ_2$, and $\S$ is the
set of output symbols. Previously available algorithms for testing equivalence
of HMPs were exponential in the number of hidden states. In case of QRWs,
algorithms for testing equivalence had not yet been presented. The core
subroutines of this algorithm can also be used to efficiently test hidden
Markov processes and quantum random walks for ergodicity.


title: The Darboux process and a noncommutative bispectral problem

abstract:
  The Darboux process, also known by many other names, played a very important
role in some extremely enjoyable joint work that Hans and I did 25 years ago. I
revisit a version of this problem in a case when scalars are replaced by
matrices, i.e., elements of a non-commutative ring. Many of the issues studied
here can be pushed to the case of a ring with identity, but my emphasis is on
very concrete examples involving $2 \times 2$ matrices.


title: Giant Magnetocaloric Effect in Re-entrant Ferromagnet PrMn1.4Fe0.6Ge2

abstract:
  Three first order magnetic phase transitions (FOMT) have been detected at
TCPr, TNinter and TCinter over the temperature range from 5 K to 340 K at
fields up to 9 T in PrMn1.4Fe0.6Ge2, and the magnetocaloric effect (MCE) around
these transitions evaluated. The MCE of two FOMT from planar antiferromagnetism
(AFl) to c-axis ferromagnetism (Fmc) around 168 K, and from the Fmc state to
the c-axis AFmc state around 157 K have acceptable values compared with those
of existing MCE systems. A giant magnetocaloric effect (GMCE) has been observed
around 25.5 K associated with the field-induced FOMT from the AFmc to the
Fmc+F(Pr) state with an additional Pr magnetic contribution. The MCE value 29.1
J/kg K with field change 7 T is comparable to and even larger than reported
values for the best-performed MCE materials. In particular, the giant MCE value
of 12.3 J/kg K obtained for the relatively small field change from 0 to 1 T is
very beneficial for applications, and this, together with the small magnetic
and thermal hysteresis, suggests that PrMn1.4Fe0.6Ge2 may be a promising
candidate for magnetic refrigeration applications in the hydrogen liquefication
temperature range.


title: High energy spin excitations in BaFe2As2

abstract:
  We report neutron scattering measurements of cooperative spin excitations in
antiferromagnetically ordered BaFe2As2, the parent phase of an iron pnictide
superconductor. The data extend up to ~100meV and show that the spin excitation
spectrum is sharp and highly dispersive. By fitting the spectrum to a linear
spin-wave model we estimate the magnon bandwidth to be in the region of 0.17eV.
The large characteristic spin fluctuation energy suggests that magnetism could
play a role in the formation of the superconducting state.


title: List Decoding of Burst Errors

abstract:
  A generalization of the Reiger bound is presented for the list decoding of
burst errors. It is then shown that Reed-Solomon codes attain this bound.


title:
Analysis of MDI High-Degree Mode Frequencies and their Rotational
  Splittings

abstract:
  Here we present a detailed analysis of solar acoustic mode frequencies and
their rotational splittings for modes with degree up to 900. They were obtained
by applying spherical harmonic decomposition to full-disk solar images observed
by the Michelson Doppler Imager onboard the Solar and Heliospheric Observatory
spacecraft. Global helioseismology analysis of high-degree modes is complicated
by the fact that the individual modes cannot be isolated, which has limited so
far the use of high-degree data for structure inversion of the near-surface
layers (r > 0.97 R). In this work, we took great care to recover the actual
mode characteristics using a physically motivated model which included a
complete leakage matrix. We included in our analysis the following instrumental
characteristics: the correct instantaneous image scale, the radial and
non-radial image distortions, the effective position angle of the solar
rotation axis and a correction to the Carrington elements. We also present
variations of the mode frequencies caused by the solar activity cycle. We have
analyzed seven observational periods from 1999 to 2005 and correlated their
frequency shift with four different solar indices. The frequency shift scaled
by the relative mode inertia is a function of frequency alone and follows a
simple power law, where the exponent obtained for the p modes is twice the
value obtained for the f modes. The different solar indices present the same
result.


title: Quandle-like Structures From Groups

abstract:
  We define a class of quandle-like structures called pseudoquandles and
analyze some of their algebraic properties.


title: Can Early Dark Energy be Detected in Non-Linear Structure?

abstract:
  We present the first study of early dark energy cosmologies using N-body
simulations to investigate the formation of non-linear structure. In contrast
to expectations from semi-analytic approaches, we find that early dark energy
does not imprint a unique signature on the statistics of non-linear structures.
Investigating the non-linear power spectra and halo mass functions, we show
that universal mass functions hold for early dark energy, making its presence
difficult to distinguish from $\Lambda$CDM. Since early dark energy biases the
baryon acoustic oscillation scale, the lack of discriminating power is
problematic.


title: Status of Very High Energy gamma-ray Astronomy as of early 2008

abstract:
  Data obtained in the very high energy gamma-ray band with the new generation
of imaging telescopes, in particular through the galactic plane survey
undertaken by H.E.S.S., low threshold observations with MAGIC and more recently
by operation of VERITAS, have revealed dozens of galactic and extragalactic
sources, providing a wealth of information on a variety of high energy
acceleration sites in our universe. Also, the water Cherenkov instrument
Milagro has provided several extended sources after seven years of data
integration. An overview of these results with focus on some of the most recent
highlights is given.


title: Unitarity and Holography in Gravitational Physics

abstract:
  Because the gravitational Hamiltonian is a pure boundary term on-shell,
asymptotic gravitational fields store information in a manner not possible in
local field theories. This fact has consequences for both perturbative and
non-perturbative quantum gravity. In perturbation theory about an
asymptotically flat collapsing black hole, the algebra generated by asymptotic
fields on future null infinity within any neighborhood of spacelike infinity
contains a complete set of observables. Assuming that the same algebra remains
complete at the non-perturbative quantum level, we argue that either 1) the
S-matrix is unitary or 2) the dynamics in the region near timelike, null, and
spacelike infinity is not described by perturbative quantum gravity about flat
space. We also consider perturbation theory about a collapsing asymptotically
anti-de Sitter (AdS) black hole, where we show that the algebra of boundary
observables within any neighborhood of any boundary Cauchy surface is similarly
complete. Whether or not this algebra continues to be complete
non-perturbatively, the assumption that the Hamiltonian remains a boundary term
implies that information available at the AdS boundary at any one time t_1
remains present at this boundary at any other time t_2.


title: More localized automorphisms of the Cuntz algebras

abstract:
  We completely determine the localized automorphisms of the Cuntz algebras
$O_n$ corresponding to permutation matrices in $M_n \otimes M_n$ for $n=3$ and
$n=4$. This result is obtained through a combination of general combinatorial
techniques and large scale computer calculations. Our analysis proceeds
according to the general scheme proposed in a previous paper, where we analyzed
in detail the case of $O_2$ using labeled rooted trees. We also discuss those
proper endomorphisms of these Cuntz algebras which restrict to automorphisms of
their respective diagonals. In the case of $O_3$ we compute the number of
automorphisms of the diagonal induced by permutation matrices in $M_3 \otimes
M_3 \otimes M_3$.


title: Growth mechanisms of vapor-born polymer films

abstract:
  The surface morphologies of poly(chloro-p-xylylene) films were measured using
atomic force microscopy and analyzed within the frame work of the dynamic
scaling theory. The evolution of polymer films grown with fixed experimental
parameters showed drastic changes of dynamic roughening behavior, which involve
unusually high growth exponent (beta = 0.65+-0.03) in the initial growth
regime, followed by a regime characterized by beta~0, and finally a crossover
to beta = 0.18+-0.02 in a steady growth regime. Detailed scaling analysis of
the surface fluctuation in Fourier space in terms of power spectral density
revealed a gradual crossover in the global roughness exponent, analogous to a
phase transition between two equilibrium states, from a morphology defined by
alpha=1.36+-0.13 to the other morphology characterized by alpha=0.93+-0.04 as
the film thickness increases. Our experimental results which significant
deviate from the well established descriptions of film growth clearly exhibit
that the dynamic roughening of polymer film is deeply affected by strong
molecular interactions and relaxations of polymer chains.


title: Holographic Thought Experiments

abstract:
  The Hamiltonian of classical anti-de Sitter gravity is a pure boundary term
on-shell. If this remains true in non-perturbative quantum gravity then i)
boundary observables will evolve unitarily in time and ii) the algebra of
boundary observables is the same at all times. In particular, information
available at the boundary at any one time t_1 remains available at any other
time t_2. Since there is also a sense in which the equations of motion
propagate information into the bulk, these observations raise what may appear
to be potential paradoxes concerning simultaneous (or spacelike separated)
measurements of non-commuting observables, one at the asymptotic boundary and
one in the interior. We argue that such potentially paradoxical settings always
involve a breakdown of semi-classical gravity. In particular, we present
evidence that making accurate holographic measurements over short timescales
radically alters the familiar notion of causality. We also describe certain
less intrinsically paradoxical settings which illustrate the above boundary
unitarity and render the notion more concrete.


title:
Role of Compaction Ratio in the Mathematical Model of Progressive
  Collapse

abstract:
  We derive a mathematical model of progressive collapse and examine role of
compaction. Contrary to a previous result by Ba\v{z}ant and Verdure, J. Engr.
Mech. ASCE 133 (2006) 308, we find that compaction slows down the avalanche by
effectively increasing the resistive force. We compare currently available
estimates of the resistive force, that of Ba\v{z}ant and Verdure (2006)
corrected for compaction for World Trade Center (WTC) 2, and of Beck,
www.arxiv.org:physics/0609105, for WTC 1 and 2. We concentrate on a damage wave
propagating through the building before the avalanche that figures in both
models: an implicit heat wave that reduces the resistive force of the building
by 60% in Ba\v{z}ant and Verdure (2006), or a wave of massive destruction that
reduces the resistive force by 75% in Beck (2006). We show that the avalanche
cannot supply the energy to the heat wave as this increases the resistive force
by two orders of magnitude. We thus reaffirm the conclusion of Beck (2006) that
the avalanche is initiated in the wake of the damage wave.


title: Real AlphaBeta-Geometries

abstract:
  By a real alphabeta-geometry we mean a four-dimensional manifold M equipped
with a neutral metric h such that (M,h) admits both an integrable distribution
of alpha-planes and an integrable distribution of beta-planes. We obtain a
local characterization of the metric when at least one of the distributions is
parallel (i.e., is a Walker geometry) and the three-dimensional distribution
spanned by the alpha- and beta-distributions is integrable. The case when both
distributions are parallel, which has been called two-sided Walker geometry, is
obtained as a special case. We also consider real \alpha\beta-geometries for
which the corresponding spinors are both multiple Weyl principal spinors.


title: Probing $e^{+}e^{-}$ annihilation in noncommutative electroweak model

abstract:
  If the twist $Poincar\acute{e}$ transformation is imposed on the
noncommutative spacetime, then $Lorentz$ invariance cannot be applied on QFT.
To data, noncommutative theory is one of the best candidates to modify
$Lorentz$ transformation. In this paper, we argue parity violation under the
process of $e^{+}e^{-}\to\gamma \gamma$ and make a detailed analysis of the
difference behavior of each helicity state on noncommutative spacetime. The
effect arises from the production of spin and magnetic fields. We check the
energy momentum conservation for all used couplings and discover that if the
electric field changes particle energy spectrum, there is no symmetry violation
as the field produces a longitudinal state on the finial triple boson
couplings.


title: Symmetric Functions and Caps

abstract:
  Given a finite subset S in F_p^d, let a(S) be the number of distinct r-tuples
(x_1,...,x_r) in S such that x_1+...+x_r = 0. We consider the "moments" F(m,n)
= sum_|S|=n a(S)^m. Specifically, we present an explicit formula for F(m,n) as
a product of two matrices, ultimately yielding a polynomial in q=p^d. The first
matrix is independent of n while the second makes no mention of finite fields.
However, the complexity of calculating each grows with m. The main tools here
are the Schur-Weyl duality theorem, and some elementary properties of symmetric
functions. This problem is closely to the study of maximal caps.


title: Pad\'e expansion and nucleon-nucleon scattering in coupled channels

abstract:
  We extend our Pad\'e-aided analysis of the nonperturbative renormalization of
nucleon-nucleon scattering to the case of coupled channels.


title: The Haar system in the preduals of hyperfinite factors

abstract:
  We shall present examples of Schauder bases in the preduals to the
hyperfinite factors of types $\hbox{II}_1$, $\hbox{II}_\infty$,
$\hbox{III}_\lambda$, $0 < \lambda \leq 1$. In the semifinite (respectively,
purely infinite) setting, these systems form Schauder bases in any associated
separable symmetric space of measurable operators (respectively, in any
non-commutative $L^p$-space).


title: Knots yielding homeomorphic lens spaces by Dehn surgery

abstract:
  We show that there exist infinitely many pairs of distinct knots in the
3-sphere such that each pair can yield homeomorphic lens spaces by the same
Dehn surgery. Moreover, each knot of the pair can be chosen to be a torus knot,
a satellite knot or a hyperbolic knot, except that both cannot be satellite
knots simultaneously. This exception is shown to be unavoidable by the
classical theory of binary quadratic forms.


title: Lectures on BRS invariance for massive boson fields

abstract:
  These notes correspond to lectures given at the Villa de Leyva Summer School
in Colombia (July 2007). Our main purpose in this short course on BRS
invariance of gauge theories is to illuminate corners of the theory left in the
shade by standard treatments. The plan is as follows. First a review of
Utiyama's "general gauge theory". Promptly we find a counterexample to it in
the shape of the massive spin-1 Stueckelberg gauge field. This is not fancy, as
the massive case is the most natural one to introduce BRS invariance in the
context of free quantum fields. Mathematically speaking, the first part of the
course uses Utiyama's notation, and thus has the flavour and non-intrinsic
notation of standard physics textbooks. Next we deal with boson fields on Fock
space and BRS invariance in connection with the existence of Krein operators;
the attending rigour points are then addressed.


title: Unbounded Fredholm modules and double operator integrals

abstract:
  In noncommutative geometry one is interested in invariants such as the
Fredholm index or spectral flow and their calculation using cyclic cocycles. A
variety of formulae have been established under side conditions called
summability constraints. These can be formulated in two ways, either for
spectral triples or for bounded Fredholm modules. We study the relationship
between these by proving various properties of the map on unbounded self
adjoint operators $D$ given by $f(D)=D(1+D^2)^{-1/2}$. In particular we prove
commutator estimates which are needed for the bounded case. In fact our methods
work in the setting of semifinite noncommutative geometry where one has $D$ as
an unbounded self adjoint linear operator affiliated with a semi-finite von
Neumann algebra $\aM$. More precisely we show that for a pair $D,D_0$ of such
operators with $D-D_0$ a bounded self-adjoint linear operator from $\aM$ and $
({\bf 1}+D_0^2)^{-1/2}\in \sE$, where $\sE$ is a noncommutative symmetric space
associated with $\aM$, then $$ \Vert f(D) - f (D_0) \Vert_{\sE} \leq C\cdot
\Vert D-D_0\Vert_{\aM}. $$ This result is further used to show continuous
differentiability of the mapping between an odd $\sE$-summable spectral triple
and its bounded counterpart.


title:
Comment on "Failure of the work-Hamiltonian connection for free-energy
  calculations" by Jose M. G. Vilar and J. Miguel Rubi

abstract:
  I point out that the arguments raised by Vilar and Rubi against the
work-Hamiltonian connection in free-energy calculations imply, if correct, the
failure of the statistical mechanical expression of the thermodynamical
free-energy via the logarithm of the partition function.


title:
Non- (quantum) differentiable $C^1$-functions in the spaces with trivial
  Boyd indices

abstract:
  If E is a separable symmetric sequence space with trivial Boyd indices and
$\cC^E$ is the corresponding ideal of compact operators, then there exists a
$C^1$-function $f_E$, a self-adjoint element $W\in \cC^E$ and a densely defined
closed symmetric derivation $\delta$ on $\cC^E$ such that $W \in Dom \delta$,
but $f_E(W) \notin Dom \delta$.


title:
Localized Modes in Type II and Heterotic Singular Calabi-Yau Conformal
  Field Theories

abstract:
  We consider type II and heterotic string compactifications on an isolated
singularity in the noncompact Gepner model approach. The conifold-type ADE
noncompact Calabi-Yau threefolds, as well as the ALE twofolds, are modeled by a
tensor product of the SL(2,R)/U(1) Kazama-Suzuki model and an N=2 minimal
model. Based on the string partition functions on these internal Calabi-Yaus
previously obtained by Eguchi and Sugawara, we construct new modular invariant,
space-time supersymmetric partition functions for both type II and heterotic
string theories, where the GSO projection is performed before the continuous
and discrete state contributions are separated. We investigate in detail the
massless spectra of the localized modes. In particular, we propose an
interesting three generation model, in which each flavor is in the 27+1
representation of E6 and localized on a four-dimensional space-time residing at
the tip of the cigar.


title: Switching magnetic vortex core by a single nanosecond current pulse

abstract:
  In a ferromagnetic nanodisk, the magnetization tends to swirl around in the
plane of the disk and can point either up or down at the center of this
magnetic vortex. This binary state can be useful for information storage. It is
demonstrated that a single nanosecond current pulse can switch the core
polarity. This method also provides the precise control of the core direction,
which constitutes fundamental technology for realizing a vortex core memory.


title: Simple homotopy invariance of higher signatures

abstract:
  We prove that the higher signature for any close oriented manifold is a
simple-homotopy invariant.


title:
Three-Dimensional Simulations of Magnetized Thin Accretion Disks around
  Black Holes: Stress in the Plunging Region

abstract:
  We describe three-dimensional general relativistic magnetohydrodynamic
simulations of a geometrically thin accretion disk around a non-spinning black
hole. The disk has a thickness $h/r\sim0.05-0.1$ over the radial range
$(2-20)GM/c^2$. In steady state, the specific angular momentum profile of the
inflowing magnetized gas deviates by less than 2% from that of the standard
thin disk model of
  Novikov & Thorne (1973). Also, the magnetic torque at the radius of the
innermost stable circular orbit (ISCO) is only $\sim2%$ of the inward flux of
angular momentum at this radius. Both results indicate that magnetic coupling
across the ISCO is relatively unimportant for geometrically thin disks.


title: Energy of tsunami waves generated by bottom motion

abstract:
  In the vast literature on tsunami research, few articles have been devoted to
energy issues. A theoretical investigation on the energy of waves generated by
bottom motion is performed here. We start with the full incompressible Euler
equations in the presence of a free surface and derive both dispersive and
non-dispersive shallow-water equations with an energy equation. It is shown
that dispersive effects only appear at higher order in the energy budget. Then
we solve the Cauchy-Poisson problem of tsunami generation for the linearized
water wave equations. Exchanges between potential and kinetic energies are
clearly revealed.

categories: physics.ao-ph math.AP nlin.PS nlin.SI physics.comp-ph physics.geo-ph


title: Symplectic inverse spectral theory for pseudodifferential operators

abstract:
  We prove, under some generic assumptions, that the semiclassical spectrum
modulo O(h^2) of a one dimensional pseudodifferential operator completely
determines the symplectic geometry of the underlying classical system. In
particular, the spectrum determines the hamiltonian dynamics of the principal
symbol.


title:
Bayesian nonparametric estimators derived from conditional Gibbs
  structures

abstract:
  We consider discrete nonparametric priors which induce Gibbs-type
exchangeable random partitions and investigate their posterior behavior in
detail. In particular, we deduce conditional distributions and the
corresponding Bayesian nonparametric estimators, which can be readily exploited
for predicting various features of additional samples. The results provide
useful tools for genomic applications where prediction of future outcomes is
required.


title:
Bound States in Gapped Graphene with Impurities : Effective Low-Energy
  Description of Short-Range Interactions

abstract:
  We obtain a novel bound state spectrum of the low energy excitations near the
Fermi points of graphene in the presence of a charge impurity. The effects of
possible short range interactions induced by the impurity are modelled by
suitable boundary conditions. The spectrum in the subcritical region of the
effective Coulomb coupling is labelled by a parameter which characterizes the
boundary conditions and determines the inequivalent quantizations of the
system. In the supercritical region we obtain a renormalization group flow for
the effective Coulomb coupling.

categories: hep-th cond-mat.mes-hall math-ph math.MP


title: Central limit theorem for a many-server queue with random service rates

abstract:
  Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d.
positive random variables $\{\mu_k\}$, we consider a queue with renewal
arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$,
under two work conserving routing schemes. In the first, the service rates
$\{\mu_k\}$ need not be known to the router, and each customer to arrive at a
time when some servers are idle is routed to the server that has been idle for
the longest time (or otherwise it is queued). In the second, the service rates
are known to the router, and a customer that arrives to find idle servers is
routed to the one whose service rate is greatest. In the many-server heavy
traffic regime of Halfin and Whitt, the process that represents the number of
customers in the system is shown to converge to a one-dimensional diffusion
with a random drift coefficient, where the law of the drift depends on the
routing scheme. A related result is also provided for nonrandom environments.


title: Differential structure on the $\kappa$-Minkowski spacetime from twist

abstract:
  We study four dimensional $\kappa$-Minkowski spacetime constructed by the
twist deformation of $U(igl(4,R))$. We demonstrate that the differential
structure of such twist-deformed $\kappa$-Minkowski spacetime is closed in four
dimensions contrary to the construction of $\kappa$-Poincar\'{e} bicovariant
calculus which needs an extra fifth dimension. Our construction holds in
arbitrary dimensional spacetimes.


title: Hemispherical power asymmetry: parameter estimation from CMB WMAP5 data

abstract:
  We reexamine the evidence of the hemispherical power asymmetry, detected in
the CMB WMAP data using a new method. At first, we analyze the hemispherical
variance ratios and compare these with simulated distributions. Secondly,
working within a previously-proposed CMB bipolar modulation model, we constrain
model parameters: the amplitude and the orientation of the modulation field as
a function of various multipole bins. Finally, we select three ranges of
multipoles leading to the most anomalous signals, and we process corresponding
100 Gaussian, random field (GRF) simulations, treated as observational data, to
further test the statistical significance and robustness of the hemispherical
power asymmetry. For our analysis we use the Internally-Linearly-Coadded (ILC)
full sky map, and KQ75 cut-sky V channel, foregrounds reduced map of the WMAP
five year data (V5). We constrain the modulation parameters using a generic
maximum a posteriori method.
  In particular, we find differences in hemispherical power distribution, which
when described in terms of a model with bipolar modulation field, exclude the
field amplitude value of the isotropic model A=0 at confidence level of ~99.5%
(~99.4%) in the multipole range l=[7,19] (l=[7,79]) in the V5 data, and at the
confidence level ~99.9% in the multipole range l=[7,39] in the ILC5 data, with
the best fit (modal PDF) values in these particular multipole ranges of A=0.21
(A=0.21) and A=0.15 respectively. However, we also point out that similar or
larger significances (in terms of rejecting the isotropic model), and large
best-fit modulation amplitudes are obtained in GRF simulations as well, which
reduces the overall significance of the CMB power asymmetry down to only about
94% (95%) in the V5 data, in the range l=[7,19] (l=[7,79]).


title:
Measurement of the solar 8B neutrino rate with a liquid scintillator
  target and 3 MeV energy threshold in the Borexino detector

abstract:
  We report the measurement of electron neutrino elastic scattering from 8B
solar neutrinos with 3 MeV energy threshold by the Borexino detector in Gran
Sasso (Italy). The rate of solar neutrino-induced electron scattering events
above this energy in Borexino is 0.217 +- 0.038 (stat) +- 0.008 (syst) cpd/100
t, which corresponds to the equivalent unoscillated flux of (2.4 +- 0.4 (stat)
+- 0.1 (syst))x10^6 cm^-2 s^-1, in good agreement with measurements from SNO
and SuperKamiokaNDE. Assuming the 8B neutrino flux predicted by the high
metallicity Standard Solar Model, the average 8B neutrino survival probability
above 3 MeV is measured to be 0.29+-0.10. The survival probabilities for 7Be
and 8B neutrinos as measured by Borexino differ by 1.9 sigma. These results are
consistent with the prediction of the MSW-LMA solution of a transition in the
solar electron neutrino survival probability between the low energy
vacuum-driven and the high-energy matter-enhanced solar neutrino oscillation
regimes.


title: On the Power of Quantum Encryption Keys

abstract:
  The standard definition of quantum state randomization, which is the quantum
analog of the classical one-time pad, consists in applying some transformation
to the quantum message conditioned on a classical secret key $k$. We
investigate encryption schemes in which this transformation is conditioned on a
quantum encryption key state $\rho_k$ instead of a classical string, and extend
this symmetric-key scheme to an asymmetric-key model in which copies of the
same encryption key $\rho_k$ may be held by several different people, but
maintaining information-theoretical security. We find bounds on the message
size and the number of copies of the encryption key which can be safely created
in these two models in terms of the entropy of the decryption key, and show
that the optimal bound can be asymptotically reached by a scheme using
classical encryption keys. This means that the use of quantum states as
encryption keys does not allow more of these to be created and shared, nor
encrypt larger messages, than if these keys are purely classical.


title:
Measuring Distance and Properties of the Milky Way's Central
  Supermassive Black Hole with Stellar Orbits

abstract:
  We report new precision measurements of the properties of our Galaxy's
supermassive black hole. Based on astrometric (1995-2007) and radial velocity
(2000-2007) measurements from the W. M. Keck 10-meter telescopes, a fully
unconstrained Keplerian orbit for the short period star S0-2 provides values
for Ro of 8.0+-0.6 kpc, M_bh of 4.1+-0.6x10^6 Mo, and the black hole's radial
velocity, which is consistent with zero with 30 km/s uncertainty. If the black
hole is assumed to be at rest with respect to the Galaxy, we can further
constrain the fit and obtain Ro = 8.4+-0.4 kpc and M_bh = 4.5+-0.4x10^6 Mo.
More complex models constrain the extended dark mass distribution to be less
than 3-4x10^5 Mo within 0.01 pc, ~100x higher than predictions from stellar and
stellar remnant models. For all models, we identify transient astrometric
shifts from source confusion and the assumptions regarding the black hole's
radial motion as previously unrecognized limitations on orbital accuracy and
the usefulness of fainter stars. Future astrometric and RV observations will
remedy these effects. Our estimates of Ro and the Galaxy's local rotation
speed, which it is derived from combining Ro with the apparent proper motion of
Sgr A*, (theta0 = 229+-18 km/s), are compatible with measurements made using
other methods. The increased black hole mass found in this study, compared to
that determined using projected mass estimators, implies a longer period for
the innermost stable orbit, longer resonant relaxation timescales for stars in
the vicinity of the black hole and a better agreement with the M_bh-sigma
relation.


title:
Torsional oscillator and synchrotron x-ray experiments on solid 4He in
  aerogel

abstract:
  X-ray diffraction experiments show that solid 4He grown in aerogel is highly
polycrystalline, with a hcp crystal structure (as in bulk) and a crystallite
size of approximately 100 nm. In contrast to the expectation that the highly
disordered solid will have a large supersolid fraction, torsional oscillator
measurements show a behavior that is strikingly similar to high purity crystals
grown from the superfluid phase. The low temperature supersolid fraction is
only ~3x10-4 and the onset temperature is ~ 100 mK.


title:
X-ray Studies of Structure and Defects in Solid 4He from 50 mK to
  Melting

abstract:
  Recent measurements have found non-classical rotational inertia (NCRI) in
solid 4He starting at T ~ 200 mK, leading to speculation that a supersolid
state may exist in these materials. Differences in the NCRI fraction due to the
growth method and annealing history imply that defects play an important role
in the effect. Using x-ray synchrotron radiation, we have studied the nature of
the crystals and the properties of the defects in solid 4He at temperatures
down to 50 mK. Measurements of peak intensities and lattice parameters do not
show indications of the supersolid transition. Using growth methods similar to
those of groups measuring the NCRI we find that large crystals form. Scanning
with a small (down to 10 x 10 um2) beam, we resolve a mosaic structure within
these crystals consistent with numerous small angle grain boundaries. The
mosaic shows significant shifts over time even at temperatures far from
melting. We discuss the relevance of these defects to the NCRI observations.


title:
Electromagnetic wave transmission through a small hole in a perfect
  electric conductor of finite thickness

abstract:
  The non-resonant electromagnetic transmission of a normal-incident plane wave
through a single hole in a perfect conductor metal slab of finite width is
studied. The cases of rectangular and circular holes are treated in detail. For
holes in the extreme subwavelength regime, in a film of finite thickness, the
transmittance is shown to have the Rayleigh dependency upon the wavelength and,
in addition, is mainly suppressed due to attenuation of the fundamental
waveguide mode. In the limit of an infinitesimally thin screen Bethe's result
is recovered for the circular hole. The numerical computations are fitted,
providing expressions for the transmission in a wide region of parameters. We
reformulate our results in terms of multipole expansion, interpreting the
waveguide modes inside the hole as induced multipole moments. This result
provides the link between the modal expansion method and the one based on a
multipole expansion.


title: Implementation of many-qubit Grover search by cavity QED

abstract:
  We study the possibility of an implementation of N-qubit (N>3) Grover search
in cavity QED, based on a fast operation of N-qubit controlled phase-flip with
atoms in resonance with the cavity mode. We demonstrate both analytically and
numerically that, our scheme could be achieved efficiently to find a marked
state with high fidelity and high success probability. As cavity decay is
involved in our quantum trajectory treatment, we could analytically understand
the implementation of a Grover search subject to dissipation, which would be
very helpful for relevant experiments.


title: A New Method of Calculating the Running Coupling Constant

abstract:
  We propose a new method to compute the running coupling constant of gauge
theories on the lattice. We first give the definition of the running coupling
in the new scheme using the Wilson loops in a finite volume, and explain how
the running of the coupling constant is extracted from the measurement of the
volume dependence. The perturbative calculation of the renormalization constant
to define the scheme is also given at the leading order. As a benchmark test of
the new scheme we apply the method the case of the quenched QCD. We show the
preliminary result from our numerical simulations which are carried out with
plaquette gauge action for various lattice sizes and bare lattice couplings.
With techniques to improve the statistical accuracy, we show that we can
determine the non-perturbative running of the coupling constant in a wide range
of the energy scale with relatively small number of gauge configurations in our
scheme. We compare our lattice data of the running coupling constant with
perturbative renormalization group evolution at one- and two-loop order, and
confirm the consistency between them at high energy.


title:
Kinetics of geminate recombination of subdiffusing particles in the
  presence of interparticle interaction

abstract:
  The kinetics of geminate subdiffusion-assisted reactions (SDARs) of
interacting particles is analyzed in detail with the use of the non-Markovian
fractional Smoluchowki equation (FSE). It is suggested that the interparticle
interaction potential is of the shape of potential well and reactivity is
located within the well. The reaction kinetics is studied in the limit of deep
well, in which the FSE can be solved analytically. This solution enables one to
obtain the kinetics in a simple analytical form. The analytical expression
shows that the SDAR kinetics fairly substantially depends on the mechanism of
reactivity within the well. Specific features of the kinetics are thoroughly
analyzed in two models of reactivity: the subdiffusion assisted activated rate
model and the first order reaction model. The theory developed is applied to
the interpretation of experimental kinetics of photoluminescence decay in
amorphous $a$-Si:H semiconductors governed by geminate recombination of
electrons and holes which are recently found to undergo subdiffusive relative
motion. Analysis of results demonstrates that the subdiffusion assisted
activated rate mechanism of reaction is closer to reality as applied to
amorphous $a$-Si:H semiconductors. Comparison of experimental and theoretical
kinetics allowed for obtaining some kinetic parameters of the systems under
study: the rate of escaping from the well and the parameter characterizing the
deviation of the subdiffusive motion from the conventional one.


title: Stein's method for discrete Gibbs measures

abstract:
  Stein's method provides a way of bounding the distance of a probability
distribution to a target distribution $\mu$. Here we develop Stein's method for
the class of discrete Gibbs measures with a density $e^V$, where $V$ is the
energy function. Using size bias couplings, we treat an example of Gibbs
convergence for strongly correlated random variables due to Chayes and Klein
[Helv. Phys. Acta 67 (1994) 30--42]. We obtain estimates of the approximation
to a grand-canonical Gibbs ensemble. As side results, we slightly improve on
the Barbour, Holst and Janson [Poisson Approximation (1992)] bounds for Poisson
approximation to the sum of independent indicators, and in the case of the
geometric distribution we derive better nonuniform Stein bounds than Brown and
Xia [Ann. Probab. 29 (2001) 1373--1403].


title: Stability of the slow manifold in the primitive equations

abstract:
  We show that, under reasonably mild hypotheses, the solution of the
forced--dissipative rotating primitive equations of the ocean loses most of its
fast, inertia--gravity, component in the small Rossby number limit as
$t\to\infty$. At leading order, the solution approaches what is known as
"geostrophic balance" even under ageostrophic, slowly time-dependent forcing.
Higher-order results can be obtained if one further assumes that the forcing is
time-independent and sufficiently smooth. If the forcing lies in some Gevrey
space, the solution will be exponentially close to a finite-dimensional "slow
manifold" after some time.


title: Critical temperature of antikaon condensation in nuclear matter

abstract:
  We investigate the critical temperature of Bose-Einstein condensation of
$K^-$ mesons in neutron star matter. This is studied within the framework of
relativistic field theoretical models at finite temperature where
nucleon-nucleon and (anti)kaon-nucleon interactions are mediated by the
exchange of mesons. The melting of the antikaon condensate is studied for
different values of antikaon optical potential depths. We find that the
critical temperature of antikaon condensation increases with baryon number
density. Further it is noted that the critical temperature is lowered as
antikaon optical potential becomes less attractive. We also construct the phase
diagram of neutron star matter with $K^-$ condensate.


title:
Masses and Magnetic moments of Triply Heavy Flavour Baryons in
  Hypercentral Model

abstract:
  Triply heavy flavour baryons are studied using the hyper central description
of the three-body system. The confinement potential is assumed as hyper central
coulomb plus power potential with power index $p$. The ground state
($J^P={1/2}^+$ and ${3/2}^+$) masses of heavy flavour baryons are computed for
different power index, $ p$ starting from 0.5 to 2.0. The predicted masses are
found to attain a saturated value with respect to variation in $p$ beyond the
power index $p>1.0$. Using the spin-flavour structure of the constituting
quarks and by defining effective mass of the confined quarks within the
baryons, the magnetic moments are computed with no additional free parameters.


title: A concrete co-existential map that is not confluent

abstract:
  We give a concrete example of a co-existential map between continua that is
not confluent.


title:
Tunneling properties of a bound pair of Fermi atoms in an optical
  lattice

abstract:
  We investigate tunneling properties of a bound pair of Fermi atoms in an
optical lattice, comparing with results obtained in an attractive Hubbard
model. In the strong coupling regime of the Hubbard model, it has been
predicted that the motion of a bound pair between lattice sites is accompanied
by virtual dissociation. To explore the possibility of this interesting
phenomenon in optical lattice, we calculate molecular wavefunction in a
cosine-shape periodic potential. We show that the molecular tunneling
accompanied by dissociation occurs in the intermediate coupling regime of the
optical lattice system. In the strong coupling regime, in contrast to the
prediction in the Hubbard model, the bound pair is shown to tunnel through
lattice potential without dissociation. As a result, the magnitude of molecular
band mass M remains finite even in the strong coupling limit, which is in
contrast to the diverging molecular mass in the case of the Hubbard model.
Including this finite value of molecular band mass, we evaluate the superfluid
phase transition temperature Tc in the BEC limit of the optical lattice system,
where the Hubbard model gives Tc=0 due to the diverging molecular mass.


title: Low angular momentum flow model of Sgr A* activity

abstract:
  Sgr A* is the closest massive black hole and can be observed with the highest
angular resolution. Nevertheless, our current understanding of the accretion
process in this source is very poor. The inflow is almost certainly of low
radiative efficiency and it is accompanied by a strong outflow and the flow is
strongly variable but the details of the dynamics are unknown. Even the amount
of angular momentum in the flow is an open question. Here we argue that low
angular momentum scenario is better suited to explain the flow variability. We
present a new hybrid model which describes such a flow and consists of an outer
spherically symmetric Bondi flow and an inner axially symmetric flow described
through MHD simulations. The assumed angular momentum of the matter is low,
i.e. the corresponding circularization radius in the equatorial plane of the
flow is just above the innermost stable circular orbit in pseudo-Newtonian
potential. We compare the radiation spectrum from such a flow to the broad band
observational data for Sgr A*.


title:
A novel multi-frequency technique for the detection of point sources in
  Cosmic Microwave Background maps

abstract:
  In this work we address the problem of simultaneous multi-frequency detection
of extragalactic point sources in maps of the Cosmic Microwave Background. We
apply a new linear filtering technique, the so called `matched matrix filters',
that incorporates full spatial information, including the cross-correlation
among channels, without making any a priori assumption about the spectral
behaviour of the sources. A substantial reduction of the background is achieved
thanks to the optimal combination of filtered maps. We describe in detail the
new technique and we apply it to the detection/estimation of radio sources in
realistic all-sky Planck simulations at 30, 44, 70 and 100 GHz. Then we compare
the results with the mono-frequential approach based on the standard matched
filter, in terms of reliability, completeness and flux accuracy of the
resulting point source catalogs. The new filters outperform the standard
matched filters for all these indexes at 30, 44 and 70 GHz, whereas at 100 GHz
both kind of filters have a similar performance. We find a noticeable increment
of the number of true detections for a fixed reliability level. In particular,
for a 95% reliability we practically double the number of detections at 30, 44
and 70 GHz.


title:
Influence of Neutron Enrichment on Disintegration Modes of Compound
  Nuclei

abstract:
  Cross sections, kinetic energy and angular distributions of fragments with
charge 6$\le$Z$\le$28 emitted in 78,82Kr+40C at 5.5 MeV/A reactions were
measured at the GANIL facility using the INDRA apparatus. This experiment aims
to investigate the influence of the neutron enrichment on the decay mechanism
of excited nuclei. Data are discussed in comparison with predictions of
transition state and Hauser-Feshbach models.


title: Transversity Asymmetries

abstract:
  Ways to access transversity through asymmetry measurements are reviewed. The
recent first extraction and possible near future extractions are discussed.


title: GaMnAs: layers, wires and dots

abstract:
  Thin layers of GaMnAs ferromagnetic semiconductor grown by molecular beam
epitaxy on GaAs(001) substrates were studied. To improve their magnetic
properties the post-growth annealing procedures were applied, using the surface
passivation layers of amorphous arsenic. This post growth treatment effectively
increases the ferromagnetic-to-paramagnetic phase transition temperature in
GaMnAs, and provides surface-rich MnAs layer which can be used for formation of
low dimensional structures such as superlattices. If the surface rich MnAs
layer consists of MnAs dots, then it is possible to grow Mn-doped GaAs
nanowires


title:
Properties of $Q\bar{Q}$ $(Q \epsilon b, c)$ mesons in Coulomb plus
  Power potential

abstract:
  The decay rates and spectroscopy of the $Q \bar Q$ $(Q \in c, b)$ mesons are
computed in non-relativistic phenomenological quark antiquark potential of the
type $V(r)=-\frac{\alpha_c}{r}+A r^{\nu}$, (CPP$_{\nu}$) with different choices
$\nu$. Numerical solution of the schrodinger equation has been used to obtain
the spectroscopy of $Q\bar{Q}$ mesons. The spin hyperfine, spin-orbit and
tensor components of the one gluon exchange interaction are employed to compute
the spectroscopy of the few lower $S$ and orbital excited states. The
numerically obtained radial solutions are employed to obtain the decay
constant, di-gamma and di-leptonic decay widths. The decay widths are
determined with and without radiative corrections. Present results are compared
with other potential model predictions as well as with the known experimental
values.


title:
Radio emission from exoplanets: the role of the stellar coronal density
  and magnetic field strength

abstract:
  The search for radio emission from extra-solar planets has so far been
unsuccessful. Much of the effort in modelling the predicted emission has been
based on the analogy with the well-known emission from Jupiter. Unlike Jupiter,
however, many of the targets of these radio searches are so close to their
parent stars that they may well lie inside the stellar magnetosphere. For these
close-in planets we determine which physical processes dominate the radio
emission and compare our results to those for large-orbit planets that are
immersed in the stellar wind. We have modelled the reconnection of the stellar
and planetary magnetic fields. We calculate the extent of the planetary
magnetosphere if it is in pressure balance with its surroundings and determine
the conditions under which reconnection of the stellar and planetary magnetic
fields could provide the accelerated electrons necessary for the predicted
radio emission. We show that received radio fluxes of tens of mJy are possible
for exoplanets in the solar neighbourhood that are close to their parent stars
if their stars have surface field strengths above 1-10G. We show that for these
close-in planets, the power of the radio emission depends principally on the
ratio (Nc/B^{1/3})^2 where Nc is the density at the base of the stellar corona,
and B is the stellar surface magnetic field strength. Radio emission is most
likely to be detected from planets around stars with high-density coronae,
which are therefore likely to be bright X-ray sources. The dependence of
stellar coronal density on stellar rotation rate and effective temperature is
crucial in predicting radio fluxes from exoplanets.


title: Quantum dot spectroscopy using cavity QED

abstract:
  Cavity quantum electrodynamics has attracted substantial interest, both due
to its potential role in the field of quantum information processing and as a
testbed for basic experiments in quantum mechanics. Here, we show how cavity
quantum electrodynamics using a tunable photonic crystal nanocavity in the
strong coupling regime can be used for single quantum dot spectroscopy. From
the distinctive avoided crossings observed in the strongly coupled system we
can identify the neutral and single positively charged exciton as well as the
biexciton transitions. Moreover we are able to investigate the fine structure
of those transitions and to identify a novel cavity mediated mixing of bright
and dark exciton states, where the hyperfine interactions with lattice nuclei
presumably play a key role. These results are enabled by a deterministic
coupling scheme which allowed us to achieve unprecedented coupling strengths in
excess of 0.15 meV.


title:
Crossover from hc/e to hc/2e current oscillations in rings of s-wave
  superconductors

abstract:
  We analyze the crossover from an hc/e-periodicity of the persistent current
in flux threaded clean metallic rings towards an hc/2e-flux periodicity of the
supercurrent upon entering the superconducting state. On the basis of a model
calculation for a one-dimensional ring we identify the underlying mechanism,
which balances the hc/e versus the hc/2e periodic components of the current
density. When the ring circumference exceeds the coherence length of the
superconductor, the flux dependence is strictly hc/2e periodic. Further, we
develop a multi-channel model which reduces the Bogoliubov - de Gennes
equations to a one-dimensional differential equation for the radial component
of the wave function. The discretization of this differential equation
introduces transverse channels, whose number scales with the thickness of the
ring. The periodicity crossover is analyzed close the critical temperature.


title: On honest times in financial modeling

abstract:
  This paper demonstrates the usefulness and importance of the concept of
honest times to financial modeling. It studies a financial market with asset
prices that follow jump-diffusions with negative jumps. The central building
block of the market model is its growth optimal portfolio (GOP), which
maximizes the growth rate of strictly positive portfolios. Primary security
account prices, when expressed in units of the GOP, turn out to be nonnegative
local martingales. In the proposed framework an equivalent risk neutral
probability measure need not exist. Derivative prices are obtained as
conditional expectations of corresponding future payoffs, with the GOP as
numeraire and the real world probability as pricing measure. The time when the
global maximum of a portfolio with no positive jumps, when expressed in units
of the GOP, is reached, is shown to be a generic representation of an honest
time. We provide a general formula for the law of such honest times and compute
the conditional distributions of the global maximum of a portfolio in this
framework. Moreover, we provide a stochastic integral representation for
uniformly integrable martingales whose terminal values are functions of the
global maximum of a portfolio. These formulae are model independent and
universal. We also specialize our results to some examples where we hedge a
payoff that arrives at an honest time.


title:
Ordinary differential system in dinension six with affine Weyl group
  symmetry of type $D_4^{(2)}$

abstract:
  We find a three-parameter family of ordinary differential systems in
dimension six with affine Weyl group symmetry of type $D_4^{(2)}$. This is the
second example which gave higher order Painlev\'e type systems of type
$D_{4}^{(2)}$. We show that we give its symmetry and holomorphy conditions.
These symmetries, holomorphy conditions and invariant divisors are new.


title:
Functional Analysis of Spontaneous Cell Movement under Different
  Physiological Conditions

abstract:
  Cells can show not only spontaneous movement but also tactic responses to
environmental signals. Since the former can be regarded as the basis to realize
the latter, playing essential roles in various cellular functions, it is
important to investigate spontaneous movement quantitatively at different
physiological conditions in relation to cellular physiological functions. For
that purpose, we observed a series of spontaneous movements by Dictyostelium
cells at different developmental periods by using a single cell tracking
system. Using statistical analysis of these traced data, we found that cells
showed complex dynamics with anomalous diffusion and that their velocity
distribution had power-law tails in all conditions. Furthermore, as development
proceeded, average velocity and persistency of the movement increased and as
too did the exponential behavior in the velocity distribution. Based on these
results, we succeeded in applying a generalized Langevin model to the
experimental data. With this model, we discuss the relation of spontaneous cell
movement to cellular physiological function and its relevance to behavioral
strategies for cell survival.


title: Hyperbolic conservation laws on manifolds with limited regularity

abstract:
  We introduce a formulation of the initial and boundary value problem for
nonlinear hyperbolic conservation laws posed on a differential manifold endowed
with a volume form, possibly with a boundary; in particular, this includes the
important case of Lorentzian manifolds. Only limited regularity is assumed on
the geometry of the manifold. For this problem, we establish the existence and
uniqueness of an L1 semi-group of weak solutions satisfying suitable entropy
and boundary conditions.


title:
Magnetic order in Pr2Pd3Ge5 and possible heavy fermion behavior in
  Pr2Rh3Ge5

abstract:
  We report our results on two new ternary intermetallic compounds
Pr$_{2}$Pd$_{3}$Ge$_{5}$ and Pr$_{2}$Rh$_{3}$Ge$_{5}$ based on magnetic
susceptibility, magnetization, specific heat, resistivity and magnetoresistance
data. These compounds form in U$_{2}$Co$_{3}$Si$_{5}$-type orthorhombic
structure (space group \textit{Ibam}). Pr$_{2}$Pd$_{3}$Ge$_{5}$ exhibits two
magnetic transitions at T$_{N1}$ = 7.5 K and T$_{N2}$ = 8.3 K. In the
magnetically ordered state Pr$_{2}$Pd$_{3}$Ge$_{5}$ exhibits a field induced
metamagnetic transition and unusually large magnetoresistance.
Pr$_{2}$Rh$_{3}$Ge$_{5}$ does not show any phase transition down to 0.5 K. It
has a CEF singlet ground state, separated from the first excited state by about
10 K. The low lying crystal field excitations lead to exciton mediated
electronic mass enhancement as evidenced by large Sommerfeld coefficient
($\gamma$ $\sim$ 80 mJ/mol K$^2$) in Pr$_{2}$Rh$_{3}$Ge$_{5}$.


title: Induced electromagnetic fields in non-linear QED

abstract:
  The Euler-Heisenberg effective Lagrangian is used to obtain general
expressions for electric and magnetic fields induced by non-linearity, to
leading order in the non-linear expansion parameter, and for quasistatic
situations. These expressions are then used to compute the induced
electromagnetic fields due to a spherical shell with uniform charge
distribution on the surface, in the presence of an external constant magnetic
field. The induced electric field contains several multipole terms with unusual
angular dependences. Most importantly, the leading term of the induced magnetic
field is due to an induced magnetic dipole moment.


title:
Electronic structure and nesting-driven enhancement of the RKKY
  interaction at the magnetic ordering propagation vector in Gd2PdSi3 and
  Tb2PdSi3

abstract:
  We present first-time measurements of the Fermi surface and low-energy
electronic structure of intermetallic compounds Gd2PdSi3 and Tb2PdSi3 by means
of angle-resolved photoelectron spectroscopy (ARPES). Both materials possess a
flower-like Fermi surface consisting of an electron barrel at the G point
surrounded by spindle-shaped electron pockets originating from the same band.
The band bottom of both features lies at 0.5 eV below the Fermi level. From the
experimentally measured band structure, we estimate the momentum-dependent RKKY
coupling strength and demonstrate that it is peaked at the 1/2 GK wave vector.
Comparison with neutron diffraction data from the same crystals shows perfect
agreement of this vector with the propagation vector of the low-temperature
in-plane magnetic order, thereby demonstrating the decisive role of the Fermi
surface geometry in explaining the complex magnetically ordered ground state of
ternary rare earth silicides.


title:
The mid-infrared colour-magnitude relation of early-type galaxies in the
  Coma cluster as measured by Spitzer-IRS

abstract:
  We use 16 micron, Spitzer-IRS, blue peakup photometry of 50 early-type
galaxies in the Coma cluster to define the mid-infrared colour-magnitude
relation. We compare with recent simple stellar population models that include
the mid-infrared emission from the extended, dusty envelopes of evolved stars.
The Ks-[16] colour in these models is very sensitive to the relative population
of dusty Asymptotic Giant Branch (AGB) stars. We find that the passively
evolving early-type galaxies define a sequence of approximately constant age
(~10 Gyr) with varying metallicity. Several galaxies that lie on the
optical/near-infrared colour-magnitude relation do not lie on the mid-infrared
relation. This illustrates the sensitivity of the Ks-[16] colour to age. The
fact that a colour-magnitude relation is seen in the mid-infrared underlines
the extremely passive nature of the majority (68%) of early-type galaxies in
the Coma cluster. The corollary of this is that 32% of the early-type galaxies
in our sample are not `passive', insofar as they are either significantly
younger than 10 Gyr or they have had some rejuvenation episode within the last
few Gyr.


title:
Unconventional pairing in excitonic condensates under spin-orbit
  coupling

abstract:
  It is shown that the Rashba and Dresselhaus spin orbit couplings enhance the
conclusive power in the experiments on the excitonic condensed state by at
least three low temperature effects. First, spin orbit coupling facilitates the
photoluminescense measurements via enhancing the bright contribution in the
otherwise dominantly dark exciton condensed state. The second is the presence
of a power law temperature dependence of the thermodynamic observables in low
temperatures and the weakening of the second order transition at the critical
temperature. The third is the appearance of the nondiagonal elements in the
static spin susceptibility.


title:
Dynamical SUSY and R-symmetry breaking in SQCD with massive and massless
  flavors

abstract:
  We show that supersymmetry and R-symmetry can be dynamically broken in a
long-lived metastable vacuum of SQCD with massive and massless flavors. The
vacuum results from a competition of a (leading) two-loop effect and small
"Planck" suppressed higher-dimension operators. This mechanism provides a
particularly simple realization of dynamical SUSY and R-symmetry breaking, and
as such it is a good starting point for building phenomenologically viable
models of gauge mediation. We take a preliminary step in this direction by
constructing a complete model of minimal gauge mediation. Here we find that the
parameters of the model are surprisingly constrained by the hidden sector.
Similar mechanisms for creating long-lived states operate in a large class of
models.


title:
A Short History of Markov Chain Monte Carlo: Subjective Recollections
  from Incomplete Data

abstract:
  We attempt to trace the history and development of Markov chain Monte Carlo
(MCMC) from its early inception in the late 1940s through its use today. We see
how the earlier stages of Monte Carlo (MC, not MCMC) research have led to the
algorithms currently in use. More importantly, we see how the development of
this methodology has not only changed our solutions to problems, but has
changed the way we think about problems.


title: Fermi surfaces of single layer dielectrics on transition metals

abstract:
  Single sheets of hexagonal boron nitride on transition metals provide a model
system for single layer dielectrics. The progress in the understanding of h-BN
layers on transition metals of the last 10 years are shortly reviewed.
Particular emphasis lies on the boron nitride nanomesh on Rh(111), which is a
corrugated single sheet of h-BN, where the corrugation imposes strong lateral
electric fields. Fermi surface maps of h-BN/Rh(111) and Rh(111) are compared. A
h-BN layer on Rh(111) introduces no new bands at the Fermi energy, which is
expected for an insulator. The lateral electric fields of h-BN nanomesh violate
the conservation law for parallel momentum in photoemission and smear out the
momentum distribution curves on the Fermi surface.


title: Investigation of the Zipf-plot of the extinct Meroitic language

abstract:
  The ancient and extinct language Meroitic is investigated using Zipf's Law.
In particular, since Meroitic is still undeciphered, the Zipf law analysis
allows us to assess the quality of current texts and possible avenues for
future investigation using statistical techniques.


title:
Statistical electron excitation in a double quantum dot induced by two
  independent quantum point contacts

abstract:
  We investigate experimentally the influence of current flow through two
independent quantum point contacts to a nearby double quantum dot realized in a
GaAs-AlGaAs heterostructure. The observed current through the double quantum
dot can be explained in terms of coupling to a bosonic bath. The temperature of
the bath depends on the power generated by the current flow through the quantum
point contact. We identify the dominant absorption and emission mechanisms in a
double quantum dot as an interaction with acoustic phonons. The experiment
excludes coupling of a double quantum dot to shot noise generated by quantum
point contact as the dominant mechanism.


title:
Enhanced quantum entanglement in the non-Markovian dynamics of
  biomolecular excitons

abstract:
  We show that quantum coherence of biomolecular excitons is maintained over
exceedingly long times due to the constructive role of their non-Markovian
protein-solvent environment. Using a numerically exact approach, we demonstrate
that a slow quantum bath helps to sustain quantum entanglement of two pairs of
Forster coupled excitons, in contrast to a Markovian environment. We consider
the crossover from a fast to a slow bath and from weak to strong dissipation
and show that a slow bath can generate robust entanglement. This persists to
surprisingly high temperatures, even higher than the excitonic gap and is
absent for a Markovian bath.

categories: cond-mat.mes-hall cond-mat.soft physics.bio-ph quant-ph


title:
On the largest component of a random graph with a subpower-law degree
  sequence in a subcritical phase

abstract:
  A uniformly random graph on $n$ vertices with a fixed degree sequence,
obeying a $\gamma$ subpower law, is studied. It is shown that, for $\gamma>3$,
in a subcritical phase with high probability the largest component size does
not exceed $n^{1/\gamma+\varepsilon_n}$, $\varepsilon_n=O(\ln\ln n/\ln n)$,
$1/\gamma$ being the best power for this random graph. This is similar to the
best possible $n^{1/(\gamma-1)}$ bound for a different model of the random
graph, one with independent vertex degrees, conjectured by Durrett, and proved
recently by Janson.


title: Polarization Properties of Single Quantum Dots in Nanowires

abstract:
  We study the absorption and emission polarization of single semiconductor
quantum dots in semiconductor nanowires. We show that the polarization of light
absorbed or emitted by a nanowire quantum dot strongly depends on the
orientation of the nanowire with respect to the directions along which light is
incident or emitted. Light is preferentially linearly polarized when directed
perpendicular to the nanowire elongation. In contrast, the degree of linear
polarization is low for light directed along the nanowire. This result is vital
for photonic applications based on intrinsic properties of quantum dots, such
as generation of entangled photons. As an example, we demonstrate optical
access to the spin states of a single nanowire quantum dot.


title: Non-Gaussian Correlations Outside the Horizon

abstract:
  It is shown that under essentially all conditions, the non-linear classical
equations governing gravitation and matter in cosmology have a solution in
which far outside the horizon in a suitable gauge the reduced spatial metric
(the spatial metric divided by the square of the Robertson--Walker scale factor
$a$) is time-independent, though with an arbitrary dependence on co-moving
coordinates, and all perturbations to the other metric components and to all
matter variables vanish, to leading order in $1/a$. The corrections are of
order $1/a^2$, and are explicitly given for the reduced metric in a multifield
model with a general potential. Further, this is the solution that describes
the metric and matter produced by single-field inflation. These results justify
the use of observed non-Gaussian correlations (or their absence) as a test of
theories of single-field inflation, despite our ignorance of the constituents
of the universe while fluctuations are outside the horizon after inflation, as
long as graphs with loops can be neglected.


title: The density of integral points on hypersurfaces of degree at least four

abstract:
  Let $f$ be a polynomial of degree at least four with integer-valued
coefficients. We establish new bounds for the density of integer solutions to
the equation $f=0$, using an iterated version of Heath-Browns $q$-analogue of
van der Corput's method of exponential sums.


title: Meissner effect in superconducting microtraps

abstract:
  We report on the realization and characterization of a magnetic microtrap for
ultra cold atoms near a straight superconducting Nb wire with circular cross
section. The trapped atoms are used to probe the magnetic field outside the
superconducting wire. The Meissner effect shortens the distance between the
trap and the wire, reduces the radial magnetic-field gradients and lowers the
trap depth. Measurements of the trap position reveal a complete exclusion of
the magnetic field from the superconducting wire for temperatures lower than
6K. As the temperature is further increased, the magnetic field partially
penetrates the superconducting wire; hence the microtrap position is shifted
towards the position expected for a normal-conducting wire.


title: Preparation of the oxypnictides and studies on their superconductivity

abstract:
  LaFe1-yCoyAsO1-xFx (x=0.11) with various y values were prepared and their
electrical resistivities, superconducting diamagnetisms and Hall coefficients
have been measured. 75As- and 135La-NMR studies have also been carried out In
spite of the successful Co-doping, we have not found any meaningful correlation
of Tc with y, which indicates that the Tc-suppression by Co-doping is
considered not to be so significant as expected for superconductors with nodes.
Even for superconductors without nodes, it may not be easy to expect this small
effect on Tc, if there are two different (disconnected) Fermi surfaces whose
order parameters have opposite signs. The data of the NMR Knight shift indicate
that the Cooper pairs are in the singlet state and the spin susceptibility is
almost fully suppressed at low temperature.


title: Theory of Electron Spin Relaxation in ZnO

abstract:
  Doped ZnO is a promising material for spintronics applications. For such
applications, it is important to understand the spin dynamics and particularly
the spin coherence of this II-VI semiconductor. The spin lifetime $\tau_{s}$
has been measured by optical orientation experiments, and it shows a surprising
non-monotonic behavior with temperature. We explain this behavior by invoking
spin exchange between localized and extended states. Interestingly, the effects
of spin-orbit coupling are by no means negligible, in spite of the relatively
small valence band splitting. This is due to the wurtzite crystal structure of
ZnO. Detailed analysis allows us to characterize the impurity binding energies
and densities, showing that optical orientation experiments can be used as a
characterization tool for semiconductor samples.


title:
Electrons and holes in Si quantum well: a room-temperature transport and
  drag resistance study

abstract:
  We investigate carrier transport in a single 22 nm-thick double-gated Si
quantum well device, which has independent contacts to electrons and holes.
Conductance, Hall density and Hall mobility are mapped in a broad double-gate
voltage window. When the gate voltage asymmetry is not too large only either
electrons or holes occupy the Si well and the Hall mobility shows the
fingerprints of volume inversion/accumulation. At strongly asymmetric
double-gate voltage an electric field induced electron-hole (EH) bi-layer is
formed inside the well. The EH drag resistance R_{he} is explored at balanced
carrier densities: R_{he} decreases monotonically from 860 to 37 Ohms when the
electron and hole density is varied between ~0.4-1.7x10^{16} m^{-2}.


title: Quantitative Verification of Ab Initio Self-consistent Laser Theory

abstract:
  We generalize and test the recent "ab initio" self-consistent (AISC)
time-independent semiclassical laser theory. This self-consistent formalism
generates all the stationary lasing properties in the multimode regime
(frequencies, thresholds, internal and external fields, output power and
emission pattern) from simple inputs: the dielectric function of the passive
cavity, the atomic transition frequency, and the transverse relaxation time of
the lasing transition. We find that the theory gives excellent quantitative
agreement with full time-dependent simulations of the Maxwell-Bloch equations
after it has been generalized to drop the slowly-varying envelope
approximation. The theory is infinite order in the non-linear hole-burning
interaction; the widely used third order approximation is shown to fail badly.


title:
Magnetic ordering in the static intermediate-valent cerium compound
  Ce2RuZn4

abstract:
  The low-temperature behavior of Ce2RuZn4 has been investigated. Specific heat
and magnetic susceptibility data reveal an antiferromagnetic transition at a
Neel temperature of 2 K. Ce2RuZn4 is a static intermediate-valent compound with
two crystallographically independent cerium atoms. The magnetic data clearly
show that only one cerium site is magnetic (Ce^3+), while the second one
carries no magnetic moment. The experimental data are interpreted with the help
of first principles electronic structure calculations using density functional
theory and the augmented spherical wave method. The calculations reveal the
occurrence of two different cerium sites, which are characterized by strongly
localized magneticmoments and strong Ce-Ru bonding, respectively.


title: Low-Mass and Metal-Poor Gamma-Ray Burst Host Galaxies

abstract:
  Gamma-ray bursts (GRBs) are cosmologically distributed, very energetic and
very transient sources detected in the gamma-ray domain. The identification of
their x-ray and optical afterglows allowed so far the redshift measurement of
150 events, from z = 0.01 to z = 6.29. For about half of them, we have some
knowledge of the properties of the parent galaxy. At high redshift (z > 2),
absorption lines in the afterglow spectra give information on the cold
interstellar medium in the host. At low redshift (z < 1.0) multi-band
optical-NIR photometry and integrated spectroscopy reveal the GRB host general
properties. A redshift evolution of metallicity is not noticeable in the whole
sample. The typical value is a few times lower than solar. The mean host
stellar mass is similar to that of the Large Magellanic Cloud, but the mean
star formation rate is five times higher. GRBs are discovered with gamma-ray,
not optical or NIR, instruments. Their hosts do not suffer from the same
selection biases of typical galaxy surveys. Therefore, they might represent a
fair sample of the most common galaxies that existed in the past history of the
universe, and can be used to better understand galaxy formation and evolution.


title:
D-brane instantons and the effective field theory of flux
  compactifications

abstract:
  We provide a description of the effects of fluxes on euclidean D-brane
instantons purely in terms of the 4d effective action. The effect corresponds
to the dressing of the effective non-perturbative 4d effective vertex with 4d
flux superpotential interactions, generated when the moduli fields made massive
by the flux are integrated out. The description in terms of effective field
theory allows a unified description of non-perturbative effects in all flux
compactifications of a given underlying fluxless model, globally in the moduli
space of the latter. It also allows us to describe explicitly the effects on
D-brane instantons of fluxes with no microscopic description, like
non-geometric fluxes. At the more formal level, the description has interesting
connections with the bulk-boundary map of open-closed two-dimensional
topological string theory, and with the $\NN=1$ special geometry.


title:
Universality check of the overlap fermions in the Schroedinger
  functional

abstract:
  I examine some properties of the overlap operator in the Schroedinger
functional formulated by Luescher at perturbative level. By investigating
spectra of the free operator and one-loop coefficient of the Schroedinger
functional coupling, I confirm the universality at tree and one-loop level.
Furthermore, I address cutoff effects of the step scaling function and it turns
out that the lattice artifacts for the overlap operator are comparable with
those of the clover actions.


title:
The investigation of EPR paramagnetic probe line width and shape
  temperature dependence in high-temperature superconductors of
  Bi-Pb-Sr-Ca-Cu-O system

abstract:
  The work is related with the finding out of magnetic phases in strongly
anisotropic high-temperature superconductor Bi1,7Pb0,3Sr2Ca2Cu3O10-d in the
temperature region where the superconductor is in the normal state. It was
studied the temperature dependence of the paramagnetic probe EPR line width. In
the normal state at T>Tc near 175 K it was revealed a pick in the temperature
dependence of line width. In this region it was observed the time increase of
the line width with the characteristic time ~ 17 min. This shows the
possibility of magnetic phase formation in this material.


title: Valence Quark Polarization In the Nucleon And the Deuteron Data

abstract:
  Within the framework of the so-called "valon" model, we argue that a
substantial part of the nucleon spin, about 40%, is carried by the polarized
valence quarks. The remaining is the result of cancellations between gluon
polarization and the orbital angular momentum, where the gluon polarization is
the dominant one. It is shown that the sea quark contribution to the spin of
any hadron is simply marginal and consistent with zero. Our findings point to a
substantially smaller value for a_8 thaninferred from hyperon- $\beta$ decay,
suggesting that fullSU(3) symmetric assumption needs to be reconsidered. New
and emerging experimental data tend to support this finding. Finally, we show
that within the model described here the experimental data on the polarized
structure functions $g_{1}^{p,n,d}$ are reproduced.


title: Effects of food web construction by evolution or immigration

abstract:
  We present results contrasting food webs constructed using the same model
where the source of species was either evolution or immigration from a
previously evolved species pool. The overall structure of the webs are
remarkably similar, although we find some important differences which mainly
relate to the percentage of basal and top species. Food webs assembled from
evolved webs also show distinct plateaux in the number of tropic levels as the
resources available to system increase, in contrast to evolved webs. By
equating the resources available to basal species to area, we are able to
examine the species-area curve created by each process separately. They are
found to correspond to different regimes of the tri-phasic species-area curve.


title:
The Knight of the Quantum: On the Contribution of D.I. Blokhintsev to
  Quantum Physics

abstract:
  A concise survey of the contribution of D.I. Blokhintsev to the quantum
physics, including solid state physics, physics of metals, surface physics,
statistical physics and optics is given. These achievements have been
considered in the context of modern development of these fields of physics.


title:
Analyzing capacitance-voltage measurements of vertical wrapped-gated
  nanowires

abstract:
  The capacitance of arrays of vertical wrapped-gate InAs nanowires are
analyzed. With the help of a Poisson-Schr"odinger solver, information about the
doping density can be obtained directly. Further features in the measured
capacitance-voltage characteristics can be attributed to the presence of
surface states as well as the coexistence of electrons and holes in the wire.
For both scenarios, quantitative estimates are provided. It is furthermore
shown that the difference between the actual capacitance and the geometrical
limit is quite large, and depends strongly on the nanowire material.


title:
First Measurement of the J/psi Azimuthal Anisotropy in PHENIX at Forward
  Rapidity in Au+Au Collisions at sqrt s(NN) = 200 GeV

abstract:
  The PHENIX experiment has shown that J/psis are suppressed in central Au+Au
collisions at a center of mass energy per nucleon-nucleon collision sqrt s(NN)
= 200 GeV, and that the suppression is larger at forward than at mid-rapidity.
Part of this difference may be explained by cold nuclear matter effects but the
most central collisions suggest that regeneration mechanisms could be at play.
In 2007, PHENIX collected almost four times more Au+Au collisions at this
energy than used for previous published results. Moreover, the addition of a
new reaction plane detector allows a much better analysis of the J/psi behavior
in the azimuthal plane. Since a large elliptic flow has been measured for open
charm, measuring J/psi azimuthal anisotropies may give a hint if J/psi are
recombined in the expanding matter. First PHENIX results of J/psi elliptic flow
as a function of transverse momentum at forward rapidity are presented in this
article. The analysis is detailed and results are compared to mid-rapidity
PHENIX preliminary results as well as to predictions.


title:
Relation between Fresnel transform of input light field and Radon
  transform of Wigner function of the field

abstract:
  We prove a new theorem about the relationship between optical field Wigner
function's Radon transform and optical Fresnel transform of the field, i.e.,
when an input field Phi(x') propagates through an optical [D(-B)(-C)A] system,
the energy density of the output field is equal to the Radon transform of the
Wigner function of the input field, where the Radon transform parameters are
D,B. We prove this theorem in both spatial-domain and frequency-domain.


title:
On the role of pressure anisotropy for relativistic stars admitting
  conformal motion

abstract:
  We investigate the spacetime of anisotropic stars admitting conformal motion.
The Einstein field equations are solved using different ansatz of the surface
tension. In this investigation, we study two cases in details with the
anisotropy as: [1] $p_t = n p_r$ [2] $p_t - p_r = \frac{1}{8
\pi}(\frac{c_1}{r^2} + c_2)$ where, n, $c_1$ and $c_2$ are arbitrary constants.
The solutions yield expressions of the physical quantities like pressure
gradients and the mass.


title: Scaling and Universality in Models of Step Bunching: The "C+-C-" Model

abstract:
  We study further the recently introduced [Ranguelov et al., Comptes Rendus de
l'Acad. Bulg. des Sci. 60, 4 (2007) 389] "C+-C-" model of step flow crystal
growth over wide range of model parameters. The basic assumption of the model
is that the reference ("equilibrium") densities used to compute the
supersaturation might be different on either side of a step. We obtain the
condition for linear stability of the whole step train in the form CL/CR>1 (L/R
stands for left/right in a descending from left to right step train). Further
we integrate numerically the equations of step motion to monitor the bunching
process in the long times limit. Thus we obtain the exact size- and time-
scaling of the step bunches including the numerical prefactors. We show that in
a broad range of parameters the morphology is characterized with appearance of
the minimal interstep distance in the bunch in the beginning of the bunches (at
the trailing edge of the bunch) and may be described by a single universality
class, different from those already generated by continuum theories [Krug et
al., PRB 71, 045412].


title:
In medium T-matrix for nuclear matter with three-body forces - binding
  energy and single particle properties

abstract:
  We present spectral calculations of nuclear matter properties including
three-body forces. Within the in-medium T-matrix approach, implemented with the
CD-Bonn and Nijmegen potentials plus the three-nucleon Urbana interaction, we
compute the energy per particle in symmetric and neutron matter. The three-body
forces are included via an effective density dependent two-body force in the
in-medium T-matrix equations. After fine tuning the parameters of the
three-body force to reproduce the phenomenological saturation point in
symmetric nuclear matter, we calculate the incompressibility and the energy per
particle in neutron matter. We find a soft equation of state in symmetric
nuclear matter but a relatively large value of the symmetry energy. We study
the the influence of the three-body forces on the single-particle properties.
For symmetric matter the spectral function is broadened at all momenta and all
densities, while an opposite effect is found for the case of neutrons only.
Noticeable modification of the spectral functions are realized only for
densities above the saturation density. The modifications of the self-energy
and the effective mass are not very large and appear to be strongly suppressed
above the Fermi momentum.


title: Chaos in a one-dimensional integrable quantum system

abstract:
  We study a simple one-dimensional quantum system on a circle with n scale
free point interactions. The spectrum of this system is discrete and
expressible as a solution of an explicit secular equation. However, its
statistical properties are nontrivial. The level spacing distribution between
its neighboring odd and even levels displays a surprising agreement with the
prediction obtained for the Gaussian Orthogonal Ensemble of random matrices.


title:
Spatial planning with constraints on translational distances between
  geometric objects

abstract:
  The main constraint on relative position of geometric objects, used in
spatial planning for computing the C-space maps (for example, in robotics, CAD,
and packaging), is the relative non-overlapping of objects. This is the
simplest constraint in which the minimum translational distance between objects
is greater than zero, or more generally, than some positive value. We present a
technique, based on the Minkowski operations, for generating the translational
C-space maps for spatial planning with more general and more complex
constraints on the relative position of geometric objects, such as constraints
on various types (not only on the minimum) of the translational distances
between objects. The developed technique can also be used, respectively, for
spatial planning with constraints on translational distances in a given
direction, and rotational distances between geometric objects, as well as for
spatial planning with given dynamic geometric situation of moving objects.