title:
A new method for determining the sensitivity of X-ray imaging
  observations and the X-ray number counts

abstract:
  We present a new method for determining the sensitivity of X-ray imaging
observations, which correctly accounts for the observational biases that affect
the probability of detecting a source of a given X-ray flux, without the need
to perform a large number of time consuming simulations. We use this new
technique to estimate the X-ray source counts in different spectral bands
(0.5-2, 0.5-10, 2-10 and 5-10keV) by combining deep pencil-beam and shallow
wide-area Chandra observations. The sample has a total of 6295 unique sources
over an area of $\rm 11.8deg^2$ and is the largest used to date to determine
the X-ray number counts. We determine, for the first time, the break flux in
the 5-10 keV band, in the case of a double power-law source count distribution.
We also find an upturn in the 0.5-2keV counts at fluxes below about
6e-17erg/s/cm2. We show that this can be explained by the emergence of normal
star-forming galaxies which dominate the X-ray population at faint fluxes. The
fraction of the diffuse X-ray background resolved into point sources at
different spectral bands is also estimated. It is argued that a single
population of Compton thick AGN cannot be responsible for the entire unresolved
X-ray background in the energy range 2-10keV.


abstract:
  We prove that the Khovanov homology of the 2-cable detects the unknot. A
corollary is that Khovanov's categorification of the 2-colored Jones polynomial
detects the unknot.


title:
The Star Formation Rate - Dense Gas Relation in Galaxies as Measured by
  HCN (3-2) Emission

abstract:
  We present observations made with the 10m Heinrich Hertz Sub-Millimeter
Telescope of HCN (3-2) emission from a sample of 30 nearby galaxies ranging in
infrared luminosity from 10^10 - 10^12.5 L_sun and HCN (3-2) luminosity from
10^6 - 10^9 K km s^-1 pc^2. We examine the correlation between the infrared
luminosity and HCN (3-2) luminosity and find that the best fit linear
regression has a slope (in log-log space) of 0.74+/-0.12. Including recently
published data from Gracia-Carpio et al. tightens the constraints on the
best-fit slope to 0.79+/-0.09. This slope below unity suggests that the HCN
(3-2) molecular line luminosity is not linearly tracing the amount of dense
gas. Our results are consistent with predictions from recent theoretical models
that find slopes below unity when the line luminosity depends upon the average
gas density with a power-law index greater than a Kennicutt-Schmidt index of
1.5.


title:
The Balloon-borne Large-Aperture Submillimeter Telescope for
  Polarization: BLAST-pol

abstract:
  The Balloon-borne Large Aperture Submillimeter Telescope (BLAST) is a
sub-orbital experiment designed to study the process of star formation in local
galaxies (including the Milky Way) and in galaxies at cosmological distances.
Using a 2-m Cassegrain telescope, BLAST images the sky onto a focal plane,
which consists of 270 bolometric detectors split between three arrays,
observing simultaneously in 30% wide bands, centered at 250, 350, and 500
microns. The diffraction-limited optical system provides a resolution of 30" at
250 microns. The pointing system enables raster-like scans with a positional
accuracy of ~30", reconstructed to better than 5" rms in post-flight analysis.
BLAST had two successful flights, from the Arctic in 2005, and from Antarctica
in 2006, which provided the first high-resolution and large-area (~0.8-200
deg^2) submillimeter surveys at these wavelengths. As a pathfinder for the
SPIRE instrument on Herschel, BLAST shares with the ESA satellite similar focal
plane technology and scientific motivation. A third flight in 2009 will see the
instrument modified to be polarization-sensitive (BLAST-Pol). With its
unprecedented mapping speed and resolution, BLAST-Pol will provide insights
into Galactic star-forming nurseries, and give the necessary link between the
larger, coarse resolution surveys and the narrow, resolved observations of
star-forming structures from space and ground based instruments being
commissioned in the next 5 years.


title:
Incidence of the host galaxy on the measured optical linear polarization
  of blazars

abstract:
  We study the incidence of the underlying host galaxy light on the measured
optical linear polarization of blazars. Our methodology consists of the
implementation of simulated observations obtained under different atmospheric
conditions, which are characterised by the Gaussian $\sigma$ of the seeing
function. The simulated host plus active nucleus systems span broad ranges in
luminosity, structural properties, redshift, and polarization; this allows us
to test the response of the results against each of these parameters.
  Our simulations show that, as expected, the measured polarization is always
lower than the intrinsic value, due to the contamination by non-polarized star
light from the host. This effect is more significant when the host is brighter
than the active nucleus, and/or a large photometric aperture is used. On the
other hand, if seeing changes along the observing time under certain particular
conditions, spurious microvariability could be obtained, especially when using
a small photometric aperture. We thus give some recommendations in order to
minimise both unwanted effects, as well as basic guidelines to estimate a lower
limit of the true (nuclear) polarization.
  As an example, we apply the results of our simulations to real polarimetric
observations, with high temporal resolution, of the blazar PKS 0521-365.


title: Flipping and stabilizing Heegaard splittings

abstract:
  We show that the number of stabilizations needed to interchange the
handlebodies of a Heegaard splitting of a closed 3-manifold by an isotopy is
bounded below by the smaller of twice its genus or half its Hempel distance.
This is a combinatorial version of a proof by Hass, Thompson and Thurston of a
similar theorem, but with an explicit bound in terms of distance. We also show
that in a 3-manifold with boundary, the stable genus of a Heegaard splitting
and a boundary stabilization of itself is bounded below by the same value.


title: Does Khovanov homology detect the unknot?

abstract:
  We determine a wide class of knots, which includes unknotting number one
knots, within which Khovanov homology detects the unknot. A corollary is that
the Khovanov homology of many satellite knots, including the Whitehead double,
detects the unknot.


title: Andreev Transport through Side-Coupled Double Quantum Dots

abstract:
  We study the transport through side-coupled double quantum dots, connected to
normal and superconducting (SC) leads with a T-shape configuration. We find,
using the numerical renormalization group, that the Coulomb interaction
suppresses SC interference in the side dot, and enhances the conductance
substantially in the Kondo regime. This behavior stands in total contrast to a
wide Kondo valley seen in the normal transport. The SC proximity penetrating
into the interfacial dot pushes the Kondo clouds, which screens the local
moment in the side dot, towards the normal lead to make the singlet bond long.
The conductance shows a peak of unitary limit as the cloud expands.
Furthermore, two separate Fano structures appear in the gate-voltage dependence
of the Andreev transport, where a single reduced plateau appears in the normal
transport.


title:
Low-Complexity Structured Precoding for Spatially Correlated MIMO
  Channels

abstract:
  The focus of this paper is on spatial precoding in correlated multi-antenna
channels, where the number of independent data-streams is adapted to trade-off
the data-rate with the transmitter complexity. Towards the goal of a
low-complexity implementation, a structured precoder is proposed, where the
precoder matrix evolves fairly slowly at a rate comparable with the statistical
evolution of the channel. Here, the eigenvectors of the precoder matrix
correspond to the dominant eigenvectors of the transmit covariance matrix,
whereas the power allocation across the modes is fixed, known at both the ends,
and is of low-complexity. A particular case of the proposed scheme (semiunitary
precoding), where the spatial modes are excited with equal power, is shown to
be near-optimal in matched channels. A matched channel is one where the
dominant eigenvalues of the transmit covariance matrix are well-conditioned and
their number equals the number of independent data-streams, and the receive
covariance matrix is also well-conditioned. In mismatched channels, where the
above conditions are not met, it is shown that the loss in performance with
semiunitary precoding when compared with a perfect channel information
benchmark is substantial. This loss needs to be mitigated via limited feedback
techniques that provide partial channel information to the transmitter. More
importantly, we develop matching metrics that capture the degree of matching of
a channel to the precoder structure continuously, and allow ordering two matrix
channels in terms of their mutual information or error probability performance.


title: Generalized Kaluza-Klein Black Holes with Squashed Horizons

abstract:
  This paper has been withdrawn by the authors, due to the solution already
existing in the literature.


title:
Thermodynamic signature of growing amorphous order in glass-forming
  liquids

abstract:
  Although several theories relate the steep slowdown of glass formers to
increasing spatial correlations of some sort, standard static correlation
functions show no evidence for this. We present results that reveal for the
first time a qualitative thermodynamic difference between the high temperature
and deeply supercooled equilibrium glass-forming liquid: the influence of
boundary conditions propagates into the bulk over larger and larger
lengthscales upon cooling, and, as this static correlation length grows, the
influence decays nonexponentially. Increasingly long-range susceptibility to
boundary conditions is expected within the random firt-order theory (RFOT) of
the glass transition, but a quantitative account of our numerical results
requires a generalization of RFOT where the surface tension between states
fluctuates.


title:
Electron Spin Relaxation and 39K Pulsed ENDOR Studies on Cr5+ doped
  K3NbO8 at 9.7 and 240 GHz

abstract:
  Cr^5+ doped K_3NbO_8, considered to be useful as a electron spin qubit, has
been investigated by pulsed X-band (~9.7 GHz) and 240 GHz electron paramagnetic
resonance and electron nuclear double resonance (ENDOR). Comparison of the low
temperature electronic spin-lattice relaxation rate 1/T_1 at 9.7 and 240 GHz
shows that it is 250 times faster at 240 GHz than at X-band. On the other hand,
the spin-spin relaxation rate 1/T_2 appears largely frequency independent and
is very likely related to the superhyperfine (SHF) coupling of the Cr^5+
electron with the surrounding potassium and niobium nuclei. This coupling was
investigated by HYSCORE at 9.7 GHz and pulsed Mims ENDOR at 240 GHz. The high
frequency and field enabled us to unambiguously measure the hyperfine and
quadrupole couplings of the 39K in spite of its small magnetic moment. We find
that the largest 39K SHF coupling is positive, with 0.522 MHz and 0.20 MHz as
its isotropic and dipolar parts respectively. 93Nb ENDOR was dominantly due to
its quadrapolar interaction, with a coupling of about 0.8 MHz, and a SHF
coupling of about 0.08 MHz. The significance of these data to spin qubit
studies is pointed out.


title: Spectroscopy of Charge Fluctuators Coupled to a Cooper Pair Box

abstract:
  We analyze the behavior of a Cooper Pair Box (CPB) that is coupled to charge
fluctuators that reside in the dielectric barrier layer in the box's
ultra-small tunnel junction. We derive the Hamiltonian of the combined system
and find the coupling between the CPB and the fluctuators as well as a coupling
between the fluctuators that is due to the CPB. We then find the energy levels
and transition spectrum numerically for the case of a CPB coupled to a single
charge fluctuator, where we treat the fluctuator as a two-level system that
tunnels between two sites. The resulting spectra show the usual transition
spectra of the CPB plus distinctive transitions due to excitation of the
fluctuator; the fluctuator transitions are 2-e periodic and resemble saw-tooth
patterns when plotted as a function of the gate voltage applied to the box. The
combined CPB fluctuator spectra show small second-order avoided crossings with
a size that depends on the gate voltage. Finally, we discuss how the
microscopic parameters of the model, such as the charge times the hopping
distance, the tunneling rate between the hopping sites, and the energy
difference between the hopping sites, can be extracted from CPB spectra, and
why this yields more information than can be found from similar spectra from
phase qubits.


title: On motivic cohomology with Z/l coefficients

abstract:
  In this paper we give a proof of the Bloch-Kato conjecture relating motivic
cohomology and etale cohomology. It is a corrected version of the paper with
the same title which posted earlier.


title: Motives over simplicial schemes

abstract:
  In this paper we define the triangulated category of motives over a
simplicial scheme. The morphisms between the Tate objects in this category
compute the motivic cohomology of the underlying scheme. In the last section we
consider the special case of "embedded" simplicial schemes, which correspond to
the subsheaves of the constant sheaf and naturally appear in the descent
problems for motivic cohomology such as the Bloch-Kato conjecture.


title: Motivic Eilenberg-Maclane spaces

abstract:
  This paper is the second one in a series of papers about operations in
motivic cohomology. Here we show that in the context of smooth schemes over a
field of characteristic zero all the bi-stable operations can be obtained in
the usual way from the motivic reduced powers and the Bockstein homomorphism.


title:
First-Principles Studies of the Metallization and the Equation of State
  of Solid Helium

abstract:
  The insulator-to-metal transition in solid helium at high pressure is studied
with first-principles simulations. Diffusion quantum Monte Carlo (DMC)
calculations predict that the band gap closes at a density of 21.3 g/cc and a
pressure of 25.7 terapascals, which is 20% higher in density and 40% higher in
pressure than predicted by density functional calculations based on the
generalized gradient approximation (GGA). The metallization density derived
from GW calculations is found to be in very close agreement with DMC
predictions. The zero point motion of the nuclei had no effect on the
metallization density within the accuracy of the calculation. Finally, fit
functions for the equation of state are presented and the magnitude of the
electronic correlation effects left out of the GGA approximation are discussed.


title: Simplicial radditive functors

abstract:
  The simplicial extension of any functor from Sets to Sets which commutes with
directed colimits takes weak equivalences to weak equivalences. The goal of the
present paper is construct a framework which can be used to proof results of
this kind for a wide class of closed model categories and functors between
those categories.


title: Solitonlike solutions of magnetostatic equilibria: Plane-symmetric case

abstract:
  We present the plane-symmetric solitonlike solutions of magnetostatic
equilibria by solving the nonlinear Grad-Shafranov (GS) equation numerically.
The solutions have solitonlike and periodic structures in the $x$ and $y$
directions, respectively, and $z$ is the direction of plane symmetry. Although
such solutions are unstable against the numerical iteration, we give the
procedure to realize the sufficient convergence. Our result provides the
definite answer for the existence of the solitonlike solutions that was
questioned in recent years. The method developed in this paper will make it
possible to study the axisymmetric solitonlike solutions of the nonlinear GS
equation, which could model astrophysical jets with knotty structures.


title: Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne)

abstract:
  These lecture notes cover four topics. There is a proof of the fact that the
functors represented by the motivic Eilenberg-Maclane spaces on the motivic
homotopy category coincide with the motivic cohomology defined in terms of the
motivic complexes. There is a description of the equivariant motivic homotopy
category for a finite flat group scheme (over a noetherian base) together with
a new characterization of A^1-equivalences. There is a part where we introduce
a class of sheaves called solid sheaves. Finally there is a part where we study
functors of the form X -> X/G and X -> X^W and show that they preserve
equivalences between term-wise ind-solid simplicial sheaves.


title: The Spin of the Proton

abstract:
  The twenty years since the announcement of the proton spin crisis by the
European Muon Collaboration has seen tremendous progress in our knowledge of
the distribution of spin within the proton. The problem is reviewed, beginning
with the original data and the suggestion that polarized gluons may play a
crucial role in resolving the problem through the U(1) axial anomaly. The
discussion continues to the present day where not only have strong limits have
been placed on the amount of polarized glue in the proton but the experimental
determination of the spin content has become much more precise. It is now clear
that the origin of the discrepancy between experiment and the naive expectation
of the fraction of spin carried by the quarks and anti-quarks in the proton
lies in the non-perturabtive structure of the proton. We explain how the
features expected in a modern, relativistic and chirally symmetric description
of nucleon structure naturally explain the current data.


title: Search for the photo-excitation of exotic mesons in the pi+pi+pi- system

abstract:
  A search for exotic mesons in the $\pi^{+}\pi^{+}\pi^{-}$ system
photoproduced by the charge exchange reaction $\gamma p\to
\pi^{+}\pi^{+}\pi^{-}(n)$ was carried out by the CLAS collaboration at
Jefferson Lab. A tagged-photon beam with energies in the 4.8 to 5.4 GeV range,
produced through bremsstrahlung from a 5.744 GeV electron beam, was incident on
a liquid-hydrogen target. A Partial Wave Analysis (PWA) was performed on a
sample of 83,000 events, the highest such statistics to date in this reaction
at these energies. The main objective of this study was to look for the
photoproduction of an exotic $J^{PC} = 1^{-+}$ resonant state in the 1 to 2 GeV
mass range. Our PWA analysis, based on the isobar model, shows production of
the $a_{2}(1320)$ and the $\pi_{2}(1670)$ mesons, but no evidence for the
$a_{1}(1260)$, nor the $\pi_{1}(1600)$ exotic state at the expected levels. An
upper limit of 13.5 nb is determined for the exotic $\pi_1(1600)$ cross
section, less than 2% of the $a_2(1320)$ production.


title: Reflectionless Herglotz functions and generalized Lyapunov exponents

abstract:
  We study several related aspects of reflectionless Jacobi matrices. Our first
set of results deals with the singular part of reflectionless measures. We then
introduce and discuss Lyapunov exponents, density of states measures, and other
related quantities in a \textit{general} setting. This is related to the
previous material because the density of states measures are reflectionless on
certain sets.


title: Optimal Coding for the Erasure Channel with Arbitrary Alphabet Size

abstract:
  An erasure channel with a fixed alphabet size $q$, where $q \gg 1$, is
studied. It is proved that over any erasure channel (with or without memory),
Maximum Distance Separable (MDS) codes achieve the minimum probability of error
(assuming maximum likelihood decoding). Assuming a memoryless erasure channel,
the error exponent of MDS codes are compared with that of random codes and
linear random codes. It is shown that the envelopes of all these exponents are
identical for rates above the critical rate. Noting the optimality of MDS
codes, it is concluded that both random codes and linear random codes are
exponentially optimal, whether the block sizes is larger or smaller than the
alphabet size.


title:
The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott
  Correction

abstract:
  We consider relativistic many-particle operators which - according to Brown
and Ravenhall - describe the electronic states of heavy atoms. Their ground
state energy is investigated in the limit of large nuclear charge and velocity
of light. We show that the leading quasi-classical behavior given by the
Thomas-Fermi theory is raised by a subleading correction, the Scott correction.
Our result is valid for the maximal range of coupling constants, including the
critical one. As a technical tool, a Sobolev-Gagliardo-Nirenberg-type
inequality is established for the critical atomic Brown-Ravenhall operator.
Moreover, we prove sharp upper and lower bound on the eigenvalues of the
hydrogenic Brown-Ravenhall operator up to and including the critical coupling
constant.


title: Intersections of Apartments

abstract:
  We show that, if a building is endowed with its complete system of
apartments, and if each panel is contained in at least four chambers, then the
intersection of two apartments can be any convex subcomplex contained in an
apartment. This combinatorial result is particularly interesting for lower
dimensional convex subcomplexes of apartments, where we definitely need the
assumption on the four chambers per panel in the building. The corresponding
statement is not true anymore for arbitrary systems of apartments, and
counter-examples for infinite convex subcomplexes exist for any type of
buildings. However, when we restrict to finite convex subcomplexes, the above
remains true for arbitrary systems of apartments if and only if every finite
subset of chambers of the standard Coxeter complex is contained in the convex
hull of two chambers.


title: One-loop corrections to Bagger-Lambert theory

abstract:
  We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard
Chern- Simons action coupled to matter. We use this action to compute
self-energies and vertex corrections at one-loop order. Non-renormalization of
the coupling constant comes out as a direct consequence of the Lie 3-algebra
structure underlying the Lie algebra.


title:
Action potential restitution and hysteresis in a reaction-diffusion
  system with pacing rate dependent excitation threshold

abstract:
  We have demonstrated that rate dependent restitution and action potential
duration-refractory period hysteresis can be reproduced in a one-dimensional
two-variable Chernyak-Starobin-Cohen reaction-diffusion medium with variable
excitation threshold. We show that restitution and hysteresis depend on the
relationship between pacing period and steady state excitation threshold and
also on the rate of excitation threshold adaptation after an abrupt change in
pacing period. It was also observed that the onset of action potential duration
alternans is determined by the minimal stable wavefront speed, which could be
approximated by the analytical critical speed of a stable solitary pulse. This
approximation was suitably accurate regardless of the adaptation constant of
excitation threshold, its dependence on pacing interval, or magnitude of the
slopes of restitution curves.


title:
Can antiferromagnetism and superconductivity coexist in the high-field
  paramagnetic superconductor Nd(O,F)FeAs?

abstract:
  We present measurements of the temperature and field dependencies of the
magnetization M(T,H) of Nd(O0.89F0.11)FeAs at fields up to 33T, which show that
superconductivity with the critical temperature Tc ~ 51K cannot coexist with
antiferromagnetic ordering. Although M(T,H) at 55 < T < 140K exhibits a clear
Curie-Weiss temperature dependence corresponding to the Neel temperature TN ~
11-12K, the behavior of M(T,H) below Tc is only consistent with either
paramagnetism of weakly interacting magnetic moments or a spin glass state. We
suggest that the anomalous magnetic behavior of an unusual high-field
paramagnetic superconductor Nd(O1-xFx)FeAs is mostly determined by the magnetic
Nd ions.


title: Broyden's Method in Nuclear Structure Calculations

abstract:
  Broyden's method, widely used in quantum chemistry electronic-structure
calculations for the numerical solution of nonlinear equations in many
variables, is applied in the context of the nuclear many-body problem. Examples
include the unitary gas problem, the nuclear density functional theory with
Skyrme functionals, and the nuclear coupled-cluster theory. The stability of
the method, its ease of use, and its rapid convergence rates make Broyden's
method a tool of choice for large-scale nuclear structure calculations.


title:
Sign of tunnel coupling in barrier-separated Bose-Einstein condensates
  and stability of double-ring systems

abstract:
  We revisit recent claims about the instability of non-rotating tunnel coupled
annular Bose-Einstein condensates leading to the emergence of angular-momentum
Josephson oscillation [Phys. Rev. Lett. 98, 050401 (2007),
arXiv:quant-ph/0609133v2]. It was predicted that all stationary states with
uniform density become unstable in certain parameter regimes. By careful
analysis, we arrive at a different conclusion. We show that there is a stable
non-rotating and uniform ground state for any value of the tunnel coupling and
repulsive interactions. The instability of an excited state with $\pi$ phase
difference between the condensates can be interpreted in terms of the familiar
snake instability. We further discuss the sign of the tunnel coupling through a
separating barrier, which carries significance for the nature of the stationary
states. It is found to always be negative for physical reasons.


title:
On some equivalent definitions of $\rho$- Carleson measures on the unit
  ball

abstract:
  We give in this paper some equivalent definitions of the so called
$\rho$-Carleson measures when $\rho(t)=(\log(4/t))^p(\log\log(e^4/t))^q$, $0\le
p,q<\infty$. As applications, we characterize the pointwise multipliers on
$LMOA(\mathbb S^n)$ and from this space to $BMOA(\mathbb S^n)$. Boundedness of
the Ces\`aro type integral operators on $LMOA(\mathbb S^n)$ and from
$LMOA(\mathbb S^n)$ to $BMOA(\mathbb S^n)$ is considered as well.


title: Toric ideals of normalized graph algebras

abstract:
  A graph-theoretic method, simpler than existing ones, is used to characterize
the minimal set of monomial generators for the integral closure of any algebra
of polynomials generated by quadratic monomials. The toric ideal of relations
between these generators is generated by a set of binomials, defined
graphically. The spectra of the original algebra and of its integral closure
turn out to be canonically homeomorphic.


title:
Equilibrium criterion and effective spin models for finite temperature
  gauge theories

abstract:
  Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the
construction of a 3-dimensional effective model in terms of Polyakov loops. We
demonstrate the application of an equilibrium self-consistency condition to the
systematic analysis of the contribution of various (global Z(2) symmetric)
terms in the effective model action. We apply this analysis to the construction
of a simple effective action with the minimum necessary number of operators.
Such an action is shown to be capable of reproducing relevant observables, e.g.
the Polyakov loop ensemble average, within the desired accuracy.


title: Charge multiplets and masses for E(11)

abstract:
  The particle, string and membrane charge multiplets are derived in detail
from the decomposition of the l1 (charge) representation of E(11) in three,
four, five, six, seven and eight spacetime dimensions. A tension formula
relating weights of the l1 (charge) representation of E(11) to the fundamental
objects of M-theory and string theory is presented. The reliability of the
formula is tested by reproducing the tensions of the content of the charge
multiplets. The formula reproduces the masses for the pp-wave, M2, M5 and the
KK-monopole from the low level content of the l1 representation of E(11).
Furthermore the tensions of all the Dp-branes of IIA and IIB theories are found
in the relevant decomposition of the l1 representation, with the string
coupling constant and $\alpha'$ appearing with the expected powers. The formula
leads to a classification of all the exotic, KK-brane charges of M-theory.


title: The clock ambiguity: Implications and new developments

abstract:
  We consider the ambiguity associated with the choice of clock in time
reparameterization invariant theories. This arbitrariness undermines the goal
of prescribing a fixed set of physical laws, since a change of time variable
can completely alter the predictions of the theory. We review the main features
of the clock ambiguity and our earlier work on its implications for the
emergence of physical laws in a statistical manner. We also present a number of
new results: We show that (contrary to suggestions in our earlier work) time
independent Hamiltonians may quite generally be assumed for laws of physics
that emerge in this picture. We also further explore the degree to which the
observed Universe can be well approximated by a random Hamiltonian. We discuss
the possibility of predicting the dimensionality of space, and also relate the
2nd derivative of the density of states to the heat capacity of the Universe.
This new work adds to the viability of our proposal that strong predictions for
physical laws may emerge based on statistical arguments despite the clock
ambiguity, but many open questions remain.


title: In-medium Pion and Partial Restoration of Chiral Symmetry

abstract:
  The partial restoration of chiral symmetry in nuclear medium is investigated
in a model independent way by exploiting operator relations in QCD. An exact
sum rule is derived for the quark condensate valid for all density. This sum
rule is simplified at low density to a new relation with the in-medium quark
condensate <bar{q}q>*, in-medium pion decay constant F_{pi}^t and in-medium
pion wave-function renormalization Z_{pi}*. Calculating Z_{pi}*at low density
from the iso-scalar pion-nucleon scattering data and relating F_{pi}^t to the
isovector pion-nucleus scattering length b_1^*, it is concluded that the
enhanced repulsion of the s-wave isovector pion-nucleus interaction observed in
the deeply bound pionic atoms directly implies the reduction of the in-medium
quark condensate. The knowledge of the in-medium pion mass m_{pi}* is not
necessary to reach this conclusion.


title: Existence, Regularity, and Properties of Generalized Apparent Horizons

abstract:
  We prove a conjecture of Tom Ilmanen's and Hubert Bray's regarding the
existence of the outermost generalized apparent horizon in an initial data set
and that it is outer area minimizing.


title:
Sensitivity Regulation based on Noise Propagation in Stochastic Reaction
  Networks

abstract:
  In this work we focus on how noise propagates in biochemical reaction
networks and affects sensitivities of the system. We discover that the
stochastic fluctuations can enhance sensitivities in one region of the value of
control parameters by reducing sensitivities in another region. Based on this
compensation principle, we designed a concentration detector in which enhanced
amplification is achieved by an incoherent feedforward reaction network.


title:
Bilepton contributions to the neutrinoless double beta decay in the
  economical 3-3-1 model

abstract:
  Possible contributions of the bilepton to the neutrinoless double beta
$(\beta\beta)_{0\nu}$ decay in the economical 3-3-1 model are discussed. We
show that the $(\beta\beta)_{0\nu}$ decay in this model is due to both
sources--Majorana $<M_{\nu}>_{L}$ and Dirac $<M_{\nu}>_{D}$ neutrino masses. If
the mixing angle between charged gauge bosons, the standard model $W$ and
bilepton $Y$, is in range of the ratio of neutrino masses $<M_{\nu}>_{L}/<
M_{\nu}>_{D}$, both the Majorana and Dirac masses simultaneously give
contributions dominant to the decay. As results, constraints on the bilepton
mass are also given.


title:
Variational Monte Carlo Method Combined with Quantum-Number Projection
  and Multi-Variable Optimization

abstract:
  Variational wave functions used in the variational Monte Carlo (VMC) method
are extensively improved to overcome the biases coming from the assumed
variational form of the wave functions. We construct a highly generalized
variational form by introducing a large number of variational parameters to the
Gutzwiller-Jastrow factor as well as to the one-body part. Moreover, the
projection operator to restore the symmetry of the wave function is introduced.
These improvements enable to treat fluctuations with long-ranged as well as
short-ranged correlations. A highly generalized wave function is implemented by
the Pfaffians introduced by Bouchaud et al., together with the stochastic
reconfiguration method introduced by Sorella for the parameter optimization.
Our framework offers much higher accuracy for strongly correlated electron
systems than the conventional variational Monte Carlo methods.


title:
A Measurement of The Faint Source Correlation Function in the GOODS and
  UDF Survey

abstract:
  We present a stable procedure for defining and measuring the two point
angular autocorrelation function, w, of faint (25 < V < 29), barely resolved
and unresolved sources in the HST GOODS and UDF datasets. We construct catalogs
that include close pairs and faint detections. We show for the first time that
on subarcsecond scales, the correlation function exceeds unity. This
correlation function is well fit by a power law with index of 2.5 and a
characteristic angular scale that decrease slowly with magnitude. This is very
different from the purely gravitationalcorrelation function of brighter
galaxies which has a index of 0.7 and a characteristic angular scale which
decreases quickly with magnitude. This observed clustering probably reflects
the presence of giant star-forming regions within galactic-scale potential
wells. Its measurement enables a new approach to measuring the redshift
distribution of the faintest sources in the sky.


title:
O VI Observations of the Onset of Convection Zones in Main-Sequence A
  Stars

abstract:
  If magnetic activity in outer stellar atmospheres is due to an interplay
between rotation and subsurface convection, as is generally presumed, then one
would not expect to observe indicators of activity in stars with T_eff > 8300
K. Any X-ray or ultraviolet line emission from hotter stars must be due either
to a different mechanism or to an unresolved, active, binary companion. Due to
their poor spatial resolution, X-ray instruments have been especially
susceptible to source confusion. At wavelengths longward of 1216 Angstroms, the
near ultraviolet spectra of stars hotter than this putative dividing line are
dominated by photospheric continuum. We have used FUSE to obtain spectra of the
subcoronal O VI emission lines, which lie at a wavelength where the
photospheric continuum of the mid- and early-A stars is relatively weak. We
observed 14 stars spanning a range in T_eff from 7720 to 10,000 K. Eleven of
the 14 stars showed O VI emission lines, including 6 of the 8 targets with
T_eff > 8300 K. At face value, this suggests that activity does not fall off
with increasing temperature. However, the emission lines are narrower than
expected from the projected rotational velocities of these rapidly-rotating
stars, suggesting that the emission could come from unresolved late-type
companions. Furthermore, the strength of the O VI emission is consistent with
that expected from an unseen active K or M dwarf binary companinon, and the
high x-ray to far uv luminosity ratios observed indicate that this must be the
case. Our results are therefore consistent with earlier studies that have shown
a rapid drop-off in activity at the radiative/convective boundary expected at
T_eff about 8300 K, in agreement with conventional stellar structure models.


title: Hidden-charm scalar tetra-quark mesons

abstract:
  Decays of hidden-charm scalar tetra-quark mesons as the partners of
D_{s0}(2317) which has successfully been assigned to the iso-triplet scalar
tetra-quark [c,n][sbar,nbar]_{I=1} meson are studied. Because OZI-rule allowed
strong decays are kinematically limited, their radiative decays are expected to
be important.


title:
Stanley depth of complete intersection monomial ideals and
  upper-discrete partitions

abstract:
  Let $I$ be an $m$-generated complete intersection monomial ideal in
$S=K[x_1,...,x_n]$. We show that the Stanley depth of $I$ is
$n-\floor{\frac{m}{2}}$. We also study the upper-discrete structure for
monomial ideals and prove that if $I$ is a squarefree monomial ideal minimally
generated by 3 elements, then the Stanley depth of $I$ is $n-1$.


title: Recent BES Results on Hadron Spectroscopy

abstract:
  We present recent results from the BES experiment on the observation of the
Y(2175) in J/\psi\to \phi f_0(980) \eta, study of \eta(2225) in J/\psi\to
\gamma \phi \phi, and the production of X(1440) recoiling against an \omega or
a \phi in J/\psi hadronic decays. The observation of \psi(2S) radiative decays
is also presented.


title: Superconductivity in undoped T' cuprates with Tc over 30 K

abstract:
  Undoped cuprates have long been considered to be antiferromagnetic
insulators. In this article, however, we report that superconductivity is
achieved in undoped T'-RE2CuO4 (RE = Pr, Nd, Sm, Eu, and Gd). Our discovery was
performed by using metal-organic decomposition (MOD), an inexpensive and
easy-to-implement thin-film process. The keys to prepare the superconducting
films are firing with low partial-pressure of oxygen and reduction at low
temperatures. The highest Tc of undoped T'-RE2CuO4 is over 30 K, substantially
higher than "electron-doped" analogs. Remarkably, Gd2CuO4, even the derivatives
of which have not shown superconductivity so far, gets superconducting with
Tconset as high as ~ 20 K. The implication of our discovery is briefly
discussed.


title:
Asymptotically flat charged rotating dilaton black holes in higher
  dimensions

abstract:
  We find a class of asymptotically flat slowly rotating charged black hole
solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling
constant in higher dimensions. Our solution is the correct one generalizing the
four-dimensional case of Horne and Horowitz \cite{Hor1}. In the absence of a
dilaton field, our solution reduces to the higher dimensional slowly rotating
Kerr-Newman black hole solution. The angular momentum and the gyromagnetic
ratio of these rotating dilaton black holes are computed. It is shown that the
dilaton field modifies the gyromagnetic ratio of the black holes.


title:
On the applicability of constrained symplectic integrators in general
  relativity

abstract:
  The purpose of this note is to point out that a naive application of
symplectic integration schemes for Hamiltonian systems with constraints such as
SHAKE or RATTLE which preserve holonomic constraints encounters difficulties
when applied to the numerical treatment of the equations of general relativity.


title:
Solar system constraints on the Dvali-Gabadadze-Porrati braneworld
  theory of gravity

abstract:
  A number of proposals have been put forward to account for the observed
accelerating expansion of the Universe through modifications of gravity. One
specific scenario, Dvali-Gabadadze-Porrati (DGP) gravity, gives rise to a
potentially observable anomaly in the solar system: all planets would exhibit a
common anomalous precession, dw/dt, in excess of the prediction of General
Relativity. We have used the Planetary Ephemeris Program (PEP) along with
planetary radar and radio tracking data to set a constraint of |dw/dt| < 0.02
arcseconds per century on the presence of any such common precession. This
sensitivity falls short of that needed to detect the estimated universal
precession of |dw/dt| = 5e-4 arcseconds per century expected in the DGP
scenario. We discuss the fact that ranging data between objects that orbit in a
common plane cannot constrain the DGP scenario. It is only through the relative
inclinations of the planetary orbital planes that solar system ranging data
have sensitivity to the DGP-like effect of universal precession. In addition,
we illustrate the importance of performing a numerical evaluation of the
sensitivity of the data set and model to any perturbative precession.


title:
Path and Path Deviation equations of Fractal Space-Times: A Brief
  Introduction

abstract:
  The idea that the quantum space-time of microphysics may be fractal
everywhere was intensively investigated recently, and several authors have
presented the geodesic equations of different fractal space - times. In the
present work we obtain the geodesic and the geodesic deviation equations in
fractal space-times by using the Bazanski method. We also extend this approach
to obtain the equations of motion for spinning and spinning charged particles
in the above-mentioned spaces, in a similar way to their counterparts in
Riemannian geometry.


title:
Strongly Blueshifted Phenomena Observed with {\it Hinode}/EIS in the
  2006 December 13 Solar Flare

abstract:
  We present a detailed examination of strongly blueshifted emission lines
observed with the EUV Imaging Spectrometer on board the {\it Hinode} satellite.
We found two kinds of blueshifted phenomenon associated with the X3.4 flare
that occurred on 2006 December 13. One was related to a plasmoid ejection seen
in soft X-rays. It was very bright in all the lines used for the observations.
The other was associated with the faint arc-shaped ejection seen in soft
X-rays. The soft X-ray ejection is thought to be an MHD fast-mode shock wave.
This is therefore the first spectroscopic observation of an MHD fast-mode shock
wave associated with a flare.


title:
Second order numerical scheme for motion of polygonal curves with
  constant area speed

abstract:
  We study polygonal analogues of several moving boundary problems and their
time discretization which preserves the constant area speed property. We
establish various polygonal analogues of geometric formulas for moving
boundaries and make use of the geometric formulas for our numerical scheme and
its analysis of general constant area speed motion of polygons. Accuracy and
efficiency of our numerical scheme are checked through numerical simulations
for several polygonal motions such as motion by curvature and area-preserving
advected flow etc.


title: (Anti-)dual-BRST symmetries: Abelian 2-form gauge theory

abstract:
  We derive the absolutely anticommuting (anti-)dual-BRST symmetry
transformations for the appropriate Lagrangian densities of the (3 +
1)-dimensional (4D) free Abelian 2-form gauge theory, under which, the total
gauge-fixing term remains invariant. These symmetry transformations are the
analogue of the co-exterior derivative of differential geometry, in the same
sense, as the absolutely anticommuting (anti-)BRST symmetry transformations are
the analogue of the exterior derivative. A bosonic symmetry transformation is
shown to be the analogue of the Laplacian operator. The algebraic structures of
these symmetry transformations are derived and they are demonstrated to be the
reminiscent of the algebra obeyed by the de Rham cohomological operators of
differential geometry.


title: Exact Matrix Completion via Convex Optimization

abstract:
  We consider a problem of considerable practical interest: the recovery of a
data matrix from a sampling of its entries. Suppose that we observe m entries
selected uniformly at random from a matrix M. Can we complete the matrix and
recover the entries that we have not seen?
  We show that one can perfectly recover most low-rank matrices from what
appears to be an incomplete set of entries. We prove that if the number m of
sampled entries obeys m >= C n^{1.2} r log n for some positive numerical
constant C, then with very high probability, most n by n matrices of rank r can
be perfectly recovered by solving a simple convex optimization program. This
program finds the matrix with minimum nuclear norm that fits the data. The
condition above assumes that the rank is not too large. However, if one
replaces the 1.2 exponent with 1.25, then the result holds for all values of
the rank. Similar results hold for arbitrary rectangular matrices as well. Our
results are connected with the recent literature on compressed sensing, and
show that objects other than signals and images can be perfectly reconstructed
from very limited information.


title: Queueing systems with pre-scheduled random arrivals

abstract:
  We consider a point process $i+\xi_i$, where $i\in \bZ$ and the $\xi_{i}$'s
are i.i.d. random variables with variance $\sigma^{2}$. This process, with a
suitable rescaling of the distribution of $\xi_i$'s, converges to the Poisson
process in total variation for large $\sigma$. We then study a simple queueing
system with our process as arrival process, and we provide a complete
analytical description of the system. Although the arrival process is very
similar to the Poisson process, due to negative autocorrelation the resulting
queue is very different from the Poisson case. We found interesting connections
of this model with the statistical mechanics of Fermi particles. This model is
motivated by air traffic systems.


title:
Deformations and automorphisms: a framework for globalizing local
  tangent and obstruction spaces

abstract:
  Building on Schlessinger's work, we define a framework for studying geometric
deformation problems which allows us to systematize the relationship between
the local and global tangent and obstruction spaces of a deformation problem.
Starting from Schlessinger's functors of Artin rings, we proceed in two steps:
we replace functors to sets by categories fibered in groupoids, allowing us to
keep track of automorphisms, and we work with deformation problems naturally
associated to a scheme X, and which naturally localize on X, so that we can
formalize the local behavior. The first step is already carried out by Rim in
the context of his homogeneous groupoids, but we develop the theory
substantially further. In this setting, many statements known for a range of
specific deformation problems can be proved in full generality, under very
general stack-like hypotheses.


title:
Characteristics of Anemone Active Regions Appearing in Coronal Holes
  Observed with {\it Yohkoh} Soft X-ray Telescope

abstract:
  Coronal structure of active regions appearing in coronal holes is studied by
using the data obtained with the Soft X-Ray Telescope (SXT) aboard {\it Yohkoh}
from 1991 November to 1993 March. The following characteristics are found; Many
of active regions appearing in coronal holes show a structure that looks like a
``sea-anemone''. Such active regions are called {\it anemone ARs}. About
one-forth of all active regions that were observed with SXT from their births
showed the anemone structure. For almost all the anemone ARs, the order of
magnetic polarities is consistent with the Hale-Nicholson's polarity law. These
anemone ARs also showed more or less east-west asymmetry in X-ray intensity
distribution, such that the following (eastern) part of the ARs is brighter
than its preceding (western) part. This, as well as the anemone shape itself,
is consistent with the magnetic polarity distribution around the anemone ARs.
These observations also suggest that an active region appearing in coronal
holes has simpler (less sheared) and more preceding-spot-dominant magnetic
structure than those appearing in other regions.


title:
TRIGA-SPEC: A setup for mass spectrometry and laser spectroscopy at the
  research reactor TRIGA Mainz

abstract:
  The research reactor TRIGA Mainz is an ideal facility to provide neutron-rich
nuclides with production rates sufficiently large for mass spectrometric and
laser spectroscopic studies. Within the TRIGA-SPEC project, a Penning trap as
well as a beam line for collinear laser spectroscopy are being installed.
Several new developments will ensure high sensitivity of the trap setup
enabling mass measurements even on a single ion. Besides neutron-rich fission
products produced in the reactor, also heavy nuclides such as 235-U or 252-Cf
can be investigated for the first time with an off-line ion source. The data
provided by the mass measurements will be of interest for astrophysical
calculations on the rapid neutron-capture process as well as for tests of mass
models in the heavy-mass region. The laser spectroscopic measurements will
yield model-independent information on nuclear ground-state properties such as
nuclear moments and charge radii of neutron-rich nuclei of refractory elements
far from stability. This publication describes the experimental setup as well
as its present status.


title: Micro-local analysis in Fourier Lebesgue and modulation spaces. Part II

abstract:
  We consider different types of (local) products $f_1 f_2$ in Fourier Lebesgue
spaces. Furthermore, we prove the existence of such products for other
distributions satisfying appropriate wave-front properties. We also consider
semi-linear equations of the form $$ \qquad P(x,D)f = G(x,J_k f), $$ with
appropriate polynomials $P $ and $G$. If the solution locally belongs to
appropriate weighted Fourier Lebesgue space ${\mathscr F}L^q_{(\omega)} (\rr
d)$ and $P$ is non-characteristic at $(x_0,\xi_0),$ then we prove that
$(x_0,\xi_0)\not \in WF_{{\mathscr F}L^q_{(\widetilde {\omega})}} (f)$, where
$\widetilde{\omega}$ depends on $\omega$, $P$ and $G$.


title: Problem-based learning and teacher training in mathematics

abstract:
  Problem-based learning (PBL) is a constructivist learner-centered
instructional approach based on the analysis, resolution and discussion of a
given problem. It can be applied to any subject, indeed it is especially useful
for the teaching of mathematics. When compared to "traditional" teaching, the
PBL approach requires increased responsibility for the teachers (in addition to
the presentation of mathematical knowledge, they need to engage students in
gathering information and using their knowledge to solve given problems). It
thus become crucial that the future teachers become aware of its effectiveness.
One of the main obstacle to this awareness lies usually on the fact that future
teachers did not find this methodology in their own pre-service training. In
this paper we will describe the attempt to introduce PBL in University courses
so to have future maths teacher "experience mathematics" themselves.


title: Four-loop screened perturbation theory

abstract:
  We study the thermodynamics of massless phi-fourth theory using screened
perturbation theory. In this method, the perturbative expansion is reorganized
by adding and subtracting a thermal mass term in the Lagrangian. We calculate
the free energy through four loops expanding in a double power expansion in m/T
and g^2, where m is the thermal mass and g is the coupling constant. The
expansion is truncated at order g^7 and the loop expansion is shown to have
better convergence properties than the weak-coupling expansion. The free energy
at order g^6 involves the four-loop triangle sum-integral evaluated by Gynther,
Laine, Schroeder, Torrero, and Vuorinen using methods developed by Arnold and
Zhai. The evaluation of the free energy at order g^7 requires the evaluation of
a nontrivial three-loop sum-integral, which we calculate by the same methods.


title: Kaluza-Klein dimensional reduction and Gauss-Codazzi-Ricci equations

abstract:
  In this paper we imitate the traditional method which is used customarily in
the General Relativity and some mathematical literatures to derive the
Gauss-Codazzi-Ricci equations for dimensional reduction. It would be more
distinct concerning geometric meaning than the vielbein method. Especially, if
the lower dimensional metric is independent of reduced dimensions the
counterpart of the symmetric extrinsic curvature is proportional to the
antisymmetric Kaluza-Klein gauge field strength. For isometry group of internal
space, the SO(n) symmetry and SU(n) symmetry are discussed. And the
Kaluza-Klein instanton is also enquired.


title: Contamination by field late-M, L and T dwarfs in deep surveys

abstract:
  Context: Deep photometric surveys for substellar objects in young clusters
and for high-redshift quasars are affected by contaminant sources at different
heliocentric distances.If not correctly taken into account, the contamination
may have a strong effect on the Initial Mass Function determination and on the
identification of quasars. Aims: We calculate in detail the back- and
foreground contamination by field dwarfs of very late spectral types
(intermediate and late M, L and T) in deep surveys and provide the data and
tools for the computation. Methods: Up-to-date models and data from the
literature have been used: (i) a model of the Galactic thin disc by an
exponential law; (ii) the length and height scales for late-type dwarfs; (iii)
the local spatial densities, absolute magnitudes and colours of dwarfs for each
spectral type. Results: We derive a simplified expression for the spatial
density in the thin disc that depends on the heliocentric distance and the
galactic coordinates (l, b) and integrate it in the truncated cone screened in
the survey. As a practical application, we compute the numbers of L- and T-type
field dwarfs in very deep (I = 21-29 mag) surveys in the direction of the young
sigma Orionis cluster. The increasing number of contaminants at the faintest
magnitudes could inhibit the study of the opacity mass limit at M <~ 0.003
M_sol in the cluster.


title: Supersymmetric Chern-Simons models in harmonic superspaces

abstract:
  We review harmonic superspaces of the D=3, N=3 and 4 supersymmetries and
gauge models in these superspaces. Superspaces of the D=3, N=5 supersymmetry
use harmonic coordinates of the SO(5) group. The superfield N=5 actions
describe the off-shell infinite-dimensional Chern-Simons supermultiplet.


title: Some properties of angular integrals

abstract:
  We find new representations for Itzykson-Zuber like angular integrals for
arbitrary beta, in particular for the orthogonal group O(n), the unitary group
U(n) and the symplectic group Sp(2n). We rewrite the Haar measure integral, as
a flat Lebesge measure integral, and we deduce some recursion formula on n. The
same methods gives also the Shatashvili's type moments. Finally we prove that,
in agreement with Brezin and Hikami's observation, the angular integrals are
linear combinations of exponentials whose coefficients are polynomials in the
reduced variables (x_i-x_j)(y_i-y_j).


title: Postnikov towers, k-invariants and obstruction theory for DG categories

abstract:
  By inspiring ourselves in Drinfeld's DG quotient, we develop Postnikov
towers, k-invariants and an obstruction theory for dg categories. As an
application, we obtain the following `rigidification' theorem: let A be a
homologically connective dg category and F:B -> H0(A) a dg functor to its
homotopy category. If the family of obstruction classes vanishes, then a lift
for F exists.


title: P-band in a rotating optical lattice

abstract:
  We investigate the effects of rotation on the excited bands of a tight
binding lattice, focusing particulary on the first excited (p-) band. Both the
on-site energies and the hopping between lattice sites are modified by the
effective magnetic field created by rotation, causing a non-trivial splitting
and magnetic fine structure of the p-band. We show that Peierls substitution
can be modified to describe p-band under rotation, and use this method to
derive an effective Hamiltonian. We compare the spectrum of the effective
Hamiltonian with a first principles calculation of the magnetic band structure
and find excellent agreement, confirming the validity of our approach. We also
discuss the on-site interaction terms for bosons and argue that many-particle
phenomena in a rotating p-band can be investigated starting from this effective
Hamiltonian.


title:
Solution of the Dirac equation in the rotating Bertotti-Robinson
  spacetime

abstract:
  The Dirac equation is solved in the rotating Bertotti-Robinson spacetime. The
set of equations representing the Dirac equation in the Newman-Penrose
formalism is decoupled into an axial and angular part. The axial equation,
which is independent of mass, is solved exactly in terms of hypergeometric
functions. The angular equation is considered both for massless (neutrino) and
massive spin-(1/2) particles. For the neutrinos, it is shown that the angular
equation admits an exact solution in terms of the confluent Heun equation. In
the existence of mass, the angular equation does not allow an analytical
solution, however, it is expressible as a set of first order differential
equations apt for numerical study.


title:
Comment on "Polarizability of the pion: No conflict between dispersion
  theory and chiral perturbation theory"

abstract:
  The statement of the authors of the article Phys. Rev. C 77, 065211 (2008)
that spurious singularities occur in the dispersion relation approach, where
imaginary parts of the amplitudes of the process \gamma\gamma->\pi\pi are
saturated by the contributions of meson resonances by using Breit-Wigner
expressions, is analyzed. It is shown that there are no any additional
singularities in this approach and the disagreement between the predictions of
the dispersion relations and the chiral perturbation theory for
(\alpha_1-\beta_1)_\pi^{\pm} remains.


title:
Solving the von Neumann equation with time-dependent Hamiltonian. Part
  I: Method

abstract:
  The unitary operators U(t), describing the quantum time evolution of systems
with a time-dependent Hamiltonian, can be constructed in an explicit manner
using the method of time-dependent invariants. We clarify the role of
Lie-algebraic techniques in this context and elaborate the theory for SU(2) and
SU(1,1). We show that the constructions known as Magnus expansion and
Wei-Norman expansion correspond with different representations of the rotation
group. A simpler construction is obtained when representing rotations in terms
of Euler angles. The many applications are postponed to Part II of the paper.


title:
On the von Neumann equation with time-dependent Hamiltonian. Part II:
  Applications

abstract:
  This second part deals with applications of a general method to describe the
quantum time evolution determined by a Schroedinger equation with
time-dependent Hamiltonian. A new aspect of our approach is that we find all
solutions starting from one special solution. The two main applications are
reviewed, namely the Bloch equations and the harmonic oscillator with
time-dependent frequency. Even in these well-known examples some new results
are obtained.


title:
Wave packet dynamics in 2DEG with spin orbit coupling: splitting and
  zitterbewegung

abstract:
  We study the effect of splitting and zitterbewegung of 1D and 2D electron
wave packets in the semiconductor quantum well under the influence of the
Rashba spin orbit coupling. Results of our investigations show that the spin
orbit interaction induces dramatic qualitative changes in the evolution of spin
polarized wave packet. The initial wave packet splits into two parts with
different spin polarization propagating with unequal group velocity. This
splitting appears due to the presence of two branches of electron spectrum
corresponding to the stationary states with different chirality. It is
demonstrated also that in the presence of external magnetic field B$
perpendicular to the electron gas plane the wave packet splits into two parts
which rotates with different cyclotron frequencies. It was shown that after
some periods the electron density distributes around cyclotron orbit and the
motion acquire an irregular character. Our calculations were made for both
cases of weak and strong spin orbit coupling.


title: Travel and tourism: Into a complex network

abstract:
  It is discussed how the worldwide tourist arrivals, about 10% of world's
domestic product, form a largely heterogeneous and directed complex network.
Remarkably the random network of connectivity is converted into a scale-free
network of intensities. The importance of weights on network connections is
brought into discussion. It is also shown how strategic positioning
particularly benefit from market diversity and that interactions among
countries prevail on a technological and economic pattern, questioning the
backbones of traveling driving forces.


title:
Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter
  Fields in the Fundamental Representation

abstract:
  In this paper, we construct a lattice formulation for two-dimensional N=(2,2)
supersymmetric gauge theory with matter fields in the fundamental
representation. We first construct it by the orbifolding procedure from
Yang-Mills matrix theory with eight supercharges. We show that we can obtain
the same lattice formulation by extending the geometrical discretization
scheme. This suggests that the equivalence between the two schemes holds even
for theories with matter fields.


title: X-ray Microlensing in RXJ1131-1231 and HE1104-1805

abstract:
  We present results from a monitoring campaign performed with the Chandra
X-ray Observatory of the gravitationally lensed quasars RX J1131-1231 and HE
1104-1805. We detect significant X-ray variability in all images of both
quasars. The flux variability detected in image A of RX J1131-1231 is of
particular interest because of its high amplitude (a factor of ~ 20). We
interpret it as arising from microlensing since the variability is uncorrelated
with that of the other images and the X-ray flux ratios show larger changes
than the optical as we would expect for microlensing of the more compact X-ray
emission regions. The differences between the X-ray and optical flux ratios of
HE 1104-1805 are less dramatic, but there is no significant soft X-ray or dust
absorption, implying the presence of X-ray microlensing in this system as well.
Combining the X-ray data with the optical light curves we find that the X-ray
emitting region of HE 1104-1805 is compact with a half-light radius ~ 6 r_g,
where the gravitational radius is r_g = 3.6 x 10^14 cm, thus placing
significant constraints on AGN corona models. We also find that the
microlensing in HE 1104-1805 favors mass models for the lens galaxy that are
dominated by dark matter. Finally, we better characterize the massive
foreground cluster near RX J1131-1231, set limits on other sources of extended
X-ray emission, and limit the fluxes of any central odd images to be 30-50 (3
sigma) times fainter than the observed images.


title:
Remote generation of entanglement for individual atoms via optical
  fibers

abstract:
  The generation of atomic entanglement is discussed in a system that atoms are
trapped in separate cavities which are connected via optical fibers. Two
distant atoms can be projected to Bell-state by synchronized turning off the
local laser fields and then performing a single quantum measurement by a
distant controller. The distinct advantage of this scheme is that it works in a
regime that $\Delta\approx\kappa\gg g$, which makes the scheme insensitive to
cavity strong leakage. Moreover, the fidelity is not affected by atomic
spontaneous emission.


title:
On a Link between Classical Phenomenological Laws of Gases and Quantum
  Mechanics

abstract:
  In this paper we find a connection between the macroscopic classical laws of
gases and the quantum mechanical description of molecules, composing an ideal
gas. In such a gas, the motion of each individual molecule can be considered
independently on all other molecules, and thus the macroscopic parameters of
ideal gas, like pressure P and temperature T, can be introduced as a result of
simple averaging over all individual motions of molecules. It is shown that for
an ideal gas enclosed in a macroscopic cubic box of volume V, the constant, in
the classical law of adiabatic expansion, i.e.PV^5/3=const, can be derived,
based on quantum mechanics. Physical implications of the result we disclose are
discussed. In any case, our finding proves, seemingly for the first time, a
macroscopic manifestation of a quantum mechanical behavior, and this in
relation to classical thermodynamics.


title: New Formula for the Eigenvectors of the Gaudin Model in the sl(3) Case

abstract:
  We propose new formulas for eigenvectors of the Gaudin model in the $\sl(3)$
case. The central point of the construction is the explicit form of some
operator P, which is used for derivation of eigenvalues given by the formula $|
w_1, w_2) = \sum_{n=0}^\infty P^n/n! | w_1, w_2,0>$, where $w_1$, $w_2$ fulfil
the standard well-know Bethe Ansatz equations.


title: Strong Interactions in Multimode Random Lasers

abstract:
  Unlike conventional lasers, diffusive random lasers (DRLs) have no resonator
to trap light and no high-Q resonances to support lasing. Due to this lack of
sharp resonances the DRL has presented a challenge to conventional laser
theory. We present a theory able to treat the DRL rigorously, and provide
results on the lasing spectra, internal fields and output intensities of DRLs.
Typically DRLs are highly multimode lasers, emitting light at a number of
wavelengths. We show that the modal interactions through the gain medium in
such lasers are extremely strong and lead to a uniformly spaced frequency
spectrum, in agreement with recent experimental observations.

categories: physics.optics cond-mat.dis-nn cond-mat.mes-hall nlin.CD


title:
Supporting Online Material for "Strong Interactions in Multimode Random
  Lasers"

abstract:
  This preprint contains the Supporting Online Material for our paper ''Strong
Interactions in Multimode Random Lasers'', Science 320, 643 (2008) (also
available at: arXiv:0805.4496).


title:
A New Method for measuring Weak Gravitational Lensing Shear using Higher
  Order Spin-2 HOLICs

abstract:
  We investigate the possibility to use higher order moments of gravitational
lensed images in the weak lensing analysis. For this purpose we employ spin-2
component of HOLICs(Higher Order Lensing Characteristics) developed by us. We
test the weak lensing analysis with spin-2 HOLICs using actual, ground based
Subaru observations of the massive galaxy cluster A1689(z=0.183). It turns out
that spin-2 HOLICs of order up to 8 are sufficiently applicable for weak
lensing analysis after correcting PSF anisotropy as well as isotropic PSF
smearing.


title: Strong decays and dipion transitions of Upsilon(5S)

abstract:
  Dipion transitions of $\Upsilon (nS)$ with $n=5, n'=1,2,3$ are studied using
the Field Correlator Method, applied previously to dipion transitions with
$n=2,3,4$ The only two parameters of effective Lagrangian were fixed in that
earlier study, and total widths $\Gamma_{\pi\pi} (5, n')$ as well as pionless
decay widths $\Gamma_{BB} (5S), \Gamma_{BB^*} (5S), \Gamma_{B^*B^*}(5S)$ and
$\Gamma_{KK} (5, n')$ were calculated and are in a reasonable agreement with
experiment. The experimental $\pi\pi$ spectra for $(5,1)$ and (5,2) transitions
are well reproduced taking into account FSI in the $\pi\pi$.


title:
Proof of a decomposition theorem for symmetric tensors on spaces with
  constant curvature

abstract:
  In cosmological perturbation theory a first major step consists in the
decomposition of the various perturbation amplitudes into scalar, vector and
tensor perturbations, which mutually decouple. In performing this decomposition
one uses -- beside the Hodge decomposition for one-forms -- an analogous
decomposition of symmetric tensor fields of second rank on Riemannian manifolds
with constant curvature. While the uniqueness of such a decomposition follows
from Gauss' theorem, a rigorous existence proof is not obvious. In this note we
establish this for smooth tensor fields, by making use of some important
results for linear elliptic differential equations.


title: Divide and conquer: resonance induced by competitive interactions

abstract:
  We study an Ising model in a network with disorder induced by the presence of
both attractive and repulsive links. This system is subjected to a subthreshold
signal, and the goal is to see how the response is enhanced for a given
fraction of repulsive links. This can model a network of spin-like neurons with
excitatory and inhibitory couplings. By means of numerical simulations and
analytical calculations we find that there is an optimal probability, such that
the coherent response is maximal.


title: Golden Space-Time Block Coded Modulation

abstract:
  In this paper we present a block coded modulation scheme for a 2 x 2 MIMO
system over slow fading channels, where the inner code is the Golden Code. The
scheme is based on a set partitioning of the Golden Code using two-sided ideals
whose norm is a power of two. In this case, a lower bound for the minimum
determinant is given by the minimum Hamming distance. The description of the
ring structure of the quotients suggests further optimization in order to
improve the overall distribution of determinants. Performance simulations show
that the GC-RS schemes achieve a significant gain over the uncoded Golden Code.


title:
Satellite holmium M-edge spectra from the magnetic phase via resonant
  x-ray scattering

abstract:
  Developing an expression of resonant x-ray scattering (RXS) amplitude which
is convenient for investigating the contributions from the higher rank tensor
on the basis of a localized electron picture, we analyze the RXS spectra from
the magnetic phases of Ho near the $M_{4,5}$ absorption edges. At the $M_5$
edge in the uniform helical phase, the calculated spectra of the absorption
coefficient, the RXS intensities at the first and second satellite spots
capture the properties the experimental data possess, such as the spectral
shapes and the peak positions. This demonstrates the plausibility of the
adoption of the localized picture in this material and the effectiveness of the
spectral shape analysis. The latter point is markedly valuable since the
azimuthal angle dependence, which is one of the most useful informations RXS
can provides, is lacking in the experimental conditions. Then, by focusing on
the temperature dependence of the spectral shape at the second satellite spot,
we expect that the spectrum is the contribution of the pure rank two profile in
the uniform helical and the conical phases while that is dominated by the rank
one profile in the intermediate temperature phase, so-called spin slip phase.
The change of the spectral shape as a function of temperature indicates a
direct evidence of the change of magnetic structures undergoing. Furthermore,
we predict that the intensity, which is the same order observed at the second
satellite spot, is expected at the fourth satellite spot from the conical phase
in the electric dipolar transition.


title: Invariant color calculus and generalized Balitsky-Kovchegov hierarchy

abstract:
  We derive generalization of the Balitsky-Kovchegov (BK) equation for a
dipole, which consists of a parton and an antiparton of arbitrary charge. At
first, we develop one method of indexless transformation of color expressions.
The method is based on an evaluation of the Casimir operator on a tensor
product. From the JIMWLK equation we derive the evolution equation for a single
parton and prove gluon Reggeization in an arbitrary color channel. We show that
there is a color duplication of such Regge poles. Higher t-channel color
exchange has its own Regge pole, which residue is proportional to the quadratic
Casimir. Taking a fundamental representation, we derive the usual BK equation
and shed new light on the meaning of linear and nonlinear terms. Finally, we
discuss a linearized version of the generalized BK equation.


title: Kerr Initial data

abstract:
  Exploiting a 3+1 analysis of the Mars-Simon tensor, conditions on a vacuum
initial data set ensuring that its development is isometric to a subset of the
Kerr spacetime are found. These conditions are expressed in terms of the
vanishing of a positive scalar function defined on the initial data
hypersurface. Applications of this result are discussed.


title: Meromorphic almost rigid geometric structures

abstract:
  We study the local Killing Lie algebra of meromorphic almost rigid geometric
structures on complex manifolds. This leads to classification results for
compact complex manifolds bearing holomorphic rigid geometric structures.


title:
Homogeneous and inhomogeneous contributions to the luminescence
  linewidth of point defects in amorphous solids: Quantitative assessment based
  on time-resolved emission spectroscopy

abstract:
  The article describes an experimental method that allows to estimate the
inhomogeneous and homogeneous linewidths of the photoluminescence band of a
point defect in an amorphous solid. We performed low temperature time-resolved
luminescence measurements on two defects chosen as model systems for our
analysis: extrinsic Oxygen Deficient Centers (ODC(II)) in amorphous silica and
F+ 3 centers in crystalline Lithium Fluoride. Measurements evidence that only
defects embedded in the amorphous matrix feature a dependence of the radiative
decay lifetime on the emission energy and a time dependence of the first moment
of the emission band. A theoretical model is developed to link these properties
to the structural disorder typical of amorphous solids. Specifically, the
observations on ODC(II) are interpreted by introducing a gaussian statistical
distribution of the zero phonon line energy position. Comparison with the
results obtained on F+ 3 crystalline defects strongly confirms the validity of
the model. By analyzing experimental data within this frame, we obtain separate
estimations of the homogenous and inhomogeneous contributions to the measured
total linewidth of ODC(II), which results to be mostly inhomogeneous.


title: Modeling Loosely Annotated Images with Imagined Annotations

abstract:
  In this paper, we present an approach to learning latent semantic analysis
models from loosely annotated images for automatic image annotation and
indexing. The given annotation in training images is loose due to: (1)
ambiguous correspondences between visual features and annotated keywords; (2)
incomplete lists of annotated keywords. The second reason motivates us to
enrich the incomplete annotation in a simple way before learning topic models.
In particular, some imagined keywords are poured into the incomplete annotation
through measuring similarity between keywords. Then, both given and imagined
annotations are used to learning probabilistic topic models for automatically
annotating new images. We conduct experiments on a typical Corel dataset of
images and loose annotations, and compare the proposed method with
state-of-the-art discrete annotation methods (using a set of discrete blobs to
represent an image). The proposed method improves word-driven probability
Latent Semantic Analysis (PLSA-words) up to a comparable performance with the
best discrete annotation method, while a merit of PLSA-words is still kept,
i.e., a wider semantic range.


title:
Microscopic Evidence of Spin State Order and Spin State Phase Separation
  in Layered Cobaltites RBaCo2O5.5 with R=Y, Tb, Dy, and Ho

abstract:
  We report muon spin relaxation measurements on the magnetic structures of
RBaCo_2O_5.5 with R=Y, Tb, Dy, and Ho. Three different phases, one
ferrimagnetic and two antiferromagnetic, are identified below 300 K. They
consist of different ordered spin state arrangements of high-, intermediate-,
and low-spin Co^3+ of CoO_6 octahedra. Phase separation into well separated
regions with different spin state order is observed in the antiferromagnetic
phases. The unusual strongly anisotropic magnetoresistance and its onset at the
FM-AFM phase boundary is explained.


title: Transition of Graphene on a Substrate to a Semimetallic State

abstract:
  Graphene on a substrate has been shown to exhibit a transition, depending on
the substrate material, from a zero-gap semiconductor state to a semimetallic
state. The ground-state energy of the electron (hole) gas has been calculated
within the random-phase approximation.


title:
Uncertainties in Estimating the Indirect Production of $B_c$ and Its
  Excited States Via Top Quark Decays at CERN LHC

abstract:
  Main theoretical uncertainties in estimating the indirect production of
$(b\bar{c})$-quarkonium ($B^-_c$ meson and its excited states) via top quark
decays, $t\to (b\bar{c})+c+W^{+}$, are studied within the non-relativistic QCD
framework. It is found that the dimensionless reduced decay width for a
particular $(b\bar{c})$-quarkonium state, $\bar\Gamma_{n}=\Gamma_{n}
/\Gamma_{t\to W^{+}+b}$, is very sensitive to the $c$-quark mass, while the
uncertainties from the $b$-quark and $t$-quark masses are small, where $n$
stands for the eight $(b\bar{c})$-quarkonium states up to ${\cal O}(v^4)$:
$|(b\bar{c})(^1S_0)_1>$, $|(b\bar{c})(^3S_1)_1>$, $|(b\bar{c})(^1P_1)_1>$,
$|(b\bar{c})(^3P_J)_1>$ (with $J=(1,2,3)$), $|(b\bar{c})(^1S_0)_{8}g>$ and
$|(b\bar{c})(^3S_1)_{8}g>$ respectively. About $10^8$ $t\bar{t}$-pairs shall be
produced per year at CERN LHC, if adopting the assumption that all the higher
Fock states decay to the ground state with 100% probability, then we shall have
$(1.038^{+1.353}_{-0.782})\times 10^5$ $B^-_c $ events per year. So the
indirect production provides another important way to study the properties of
$B^-_c$ meson in comparison to that of the direct hadronic production at CERN
LHC.


title:
Algebraic continued fractions in F_q((T^{-1})) and recurrent sequences
  in F_q

abstract:
  There exists a particular subset of algebraic power series over a finite
field which, for different reasons, can be compared to the subset of quadratic
real numbers. The continued fraction expansion for these elements, called
hyperquadratic, can sometimes be made explicit. Here we describe this expansion
for a wide family of hyperquadratic power series in odd characteristic. This
leads to consider interesting recurrent sequences in the finite base field when
it is not a prime field.


title: Involutions on surfaces with $p_g=q=1$

abstract:
  In this paper some numerical restrictions for surfaces with an involution are
obtained. These formulas are used to study surfaces of general type $S$ with
$p_g=q=1$ having an involution $i$ such that $S/i$ is a non-ruled surface and
such that the bicanonical map of $S$ is not composed with $i.$ A complete list
of possibilities is given and several new examples are constructed, as bidouble
covers of surfaces. In particular the first example of a minimal surface of
general type with $p_g=q=1$ and $K^2=7$ having birational bicanonical map is
obtained.


title: Driven transverse shear waves in a strongly coupled dusty plasma

abstract:
  The linear dispersion properties of transverse shear waves in a strongly
coupled dusty plasma are experimentally studied by exciting them in a
controlled manner with a variable frequency external source. The dusty plasma
is maintained in the strongly coupled fluid regime with (1 < Gamma << Gamma_c)
where Gamma is the Coulomb coupling parameter and Gamma_c is the
crystallization limit. A dispersion relation for the transverse waves is
experimentally obtained over a frequency range of 0.1 Hz to 2 Hz and found to
show good agreement with viscoelastic theoretical results.


title: Jet Quenching in Heavy Ion Collisions from AdS/CFT

abstract:
  The phenomenon of jet supression observed in highly energetic heavy ion
collisions is discussed. The focus is devoted to the stunning applications of
the AdS/CFT correspondence to describe these real time processes, hard to be
illuminated by other means. In particular, the introduction of as many flavors
as colors into the quark-gluon plasma is scrutinized.


title: Random Walks on Discrete Cylinders and Random Interlacements

abstract:
  We explore some of the connections between the local picture left by the
trace of simple random walk on a discrete cylinder with base a d-dimensional
torus, d at least 2, of side-length N running for times of order N^{2d} and the
model of random interlacements recently introduced in arXiv:0704.2560. In
particular we show that when the base becomes large, in the neighborhood of a
point of the cylinder with a vertical component of order N^d, the complement of
the set of points visited by the walk up to times of order N^{2d}, is close in
distribution to the law of the vacant set of random interlacements at a level
which is determined by an independent Brownian local time. The limit of the
local pictures in the neighborhood of finitely many points is also derived.


title: A catalog of chromospherically active binary stars (third edition)

abstract:
  Chromospherically Active Binaries (CAB) catalogue have been revised and
updated. With 203 new identifications, the number of CAB stars is increased to
409. Catalogue is available in electronic format where each system has various
number of lines (sub-orders) with a unique order number. Columns contain data
of limited number of selected cross references, comments to explain
peculiarities and position of the binarity in case it belongs to a multiple
system, classical identifications (RS CVn, BY Dra), brightness and colours,
photometric and spectroscopic data, description of emission features (Ca II
H&K, $H_{\alpha}$, UV, IR), X-Ray luminosity, radio flux, physical quantities
and orbital information, where each basic entry are referenced so users can go
original sources.


title: \Upsilon(5S) decays into BB and BB\pi

abstract:
  Two- and three-body decays of $\Upsilon (5S)$ into $BB, $$ BB^*, $ $ B^*B^*,$
$ B_sB_s, $ $B_sB_s^*, $ $B_s^* B_s^*$ and $BB^*\pi, B^*B^*\pi$ are evaluated
using the theory, developed earlier for dipion bottomonium transitions. The
theory contains only two parameters, vertex masses $M_{br}$ and $M_\omega$,
known from dipion spectra and width. Predicted values of $\Gamma_{tot}(5S)$ and
six partial widths $\Gamma_k(5S), k=BB, BB^*,...$ are in agreement with
experiment. The decay widths $\Gamma_{5S}(\pi BB^*)$ and $\Gamma_{5S}(\pi
B^*B^*)$ are also calculated and found to be of the order of 10 keV.


title:
Investigation of the shear-mechanical and dielectric relaxation
  processes in two mono-alcohols close to the glass transition

abstract:
  Shear-mechanical and dielectric measurements on the two monohydroxy
(mono-alcohol) molecular glass formers 2-ethyl-1-hexanol and 2-butanol close to
the glass transition temperature are presented. The shear-mechanical data are
obtained using the piezoelectric shear-modulus gauge method covering
frequencies from 1mHz to 10kHz. The shear-mechanical relaxation spectra show
two processes, which follow the typical scenario of a structural (alpha)
relaxation and an additional (Johari-Goldstein) beta relaxation. The dielectric
relaxation spectra are dominated by a Debye-type peak with an additional
non-Debye peak visible. This Debye-type relaxation is a common feature peculiar
to mono-alcohols. The time scale of the non-Debye dielectric relaxation process
is shown to correspond to the mechanical structural (alpha) relaxation.
Glass-transition temperatures and fragilities are reported based on the
mechanical alpha relaxation and the dielectric Debye-type process, showing that
the two glass-transition temperatures differ by approximately 10K and that the
fragility based on the Debye-type process is a factor of two smaller than the
structural fragility. If a mechanical signature of the Debye-type relaxation
exists in these liquids, its relaxation strength is at most 1% and 3% of the
full relaxation strength of 2-butanol and 2-ethyl-1-hexanol respectively. These
findings support the notion that it is the non-Debye dielectric relaxation
process that corresponds to the structural alpha relaxation in the liquid.


title: Eternal Inflation: Prohibited by Quantum Gravity?

abstract:
  We investigate how eternal inflation is affected by quantum gravity effects.
We consider general features of quantum gravity, such as renormalizability,
complementarity, minimal length, definition of observables, and weak gravity
conjecture. We also consider phenomenological models such as ghost inflation,
non-commutative inflation, brane inflation, k-inflation and resonant tunneling.
We find that all these features and models do not support eternal inflation.
These evidences show hints that eternal inflation is prohibited by quantum
gravity.


title: Textual Entailment Recognizing by Theorem Proving Approach

abstract:
  In this paper we present two original methods for recognizing textual
inference. First one is a modified resolution method such that some linguistic
considerations are introduced in the unification of two atoms. The approach is
possible due to the recent methods of transforming texts in logic formulas.
Second one is based on semantic relations in text, as presented in WordNet.
Some similarities between these two methods are remarked.


title:
Hamiltonian Principle in Binary Mixtures of Euler Fluids with
  Applications to the Second Sound Phenomena

abstract:
  In the present paper we compare the theory of mixtures based on Rational
Thermomechanics with the one obtained by Hamilton principle. We prove that the
two theories coincide in the adiabatic case when the action is constructed with
the intrinsic Lagrangian. In the complete thermodynamical case we show that we
have also coincidence in the case of low temperature when the second sound
phenomena arises for superfluid Helium and crystals.


title:
$\alpha$ particle preformation in heavy nuclei and penetration
  probability

abstract:
  The $\alpha$ particle preformation in the even-even nuclei from $^{108}$Te to
$^{294}$118 and the penetration probability have been studied. The isotopes
from Pb to U have been firstly investigated since the experimental data allow
us to extract the microscopic features for each element. The assault frequency
has been estimated using classical methods and the penetration probability from
tunneling through the Generalized Liquid Drop Model (GLDM) potential barrier.
The preformation factor has been extracted from experimental $\alpha$ decay
energies and half-lives. The shell closure effects play the key role in the
$\alpha$ preformation. The more the nucleon number is close to the magic
numbers, the more the formation of $\alpha$ cluster is difficult inside the
mother nucleus. The penetration probabilities reflect that 126 is a neutron
magic number. The penetration probability range is very large compared to that
of the preformation factor. The penetration probability determines mainly the
$\alpha$ decay half-life while the preformation factor allows us to obtain
information on the nuclear structure. The study has been extended to the newly
observed heaviest nuclei.


title: Origin of Hysteresis in a Proximity Josephson Junction

abstract:
  We investigate hysteresis in the transport properties of Superconductor -
Normal metal - Superconductor (S-N-S) junctions at low temperatures by
measuring directly the electron temperature in the normal metal. Our results
demonstrate unambiguously that the hysteresis results from an increase of the
normal metal electron temperature once the junction switches to the resistive
state. In our geometry, the electron temperature increase is governed by the
thermal resistance of the superconducting electrodes of the junction.


title: Perturbation Theory Without Diagrams: The Polaron Case

abstract:
  Higher-order perturbative calculations in Quantum (Field) Theory suffer from
the factorial increase of the number of individual diagrams. Here I describe an
approach which evaluates the total contribution numerically for finite
temperature from the cumulant expansion of the corresponding observable
followed by an extrapolation to zero temperature. This method (originally
proposed by Bogolyubov and Plechko) is applied to the calculation of
higher-order terms for the ground-state energy of the polaron. Using
state-of-the-art multidimensional integration routines two new coefficients are
obtained corresponding to a four- and five-loop calculation. Several analytical
and numerical procedures have been implemented which were crucial for obtaining
reliable results.


title:
A Mathematical Theory for Vibrational Levels Associated with Hydrogen
  Bonds II: The Non--Symmetric Case

abstract:
  We propose an alternative to the usual time--independent Born--Oppenheimer
approximation that is specifically designed to describe molecules with
non--symmetrical hydrogen bonds. In our approach, the masses of the hydrogen
nuclei are scaled differently from those of the heavier nuclei, and we employ a
specialized form for the electron energy level surface. As a result, the
different vibrational modes appear at different orders of approximation.
  Although we develop a general theory, our analysis is motivated by an
examination of the F H Cl- ion. We describe our results for it in detail.
  We prove the existence of quasimodes and quasienergies for the nuclear
vibrational and rotational motion to arbitrary order in the Born--Oppenheimer
parameter epsilon. When the electronic motion is also included, we provide
simple formulas for the quasienergies up to order epsilon cubed that compare
well with experiment and numerical results.


title:
The BRAIN experiment, a bolometric interferometer dedicated to the CMB
  B-mode measurement

abstract:
  We present the BRAIN Experiment, a project of B-mode experiment using a novel
technology, bolometric interferometry. This technique is a promising
alternative to direct imaging experiments since it combines the advantages of
interferometry in terms of systematic effects handling and those of bolometry
in terms of sensitivity. We briefly introduce some of the bolometric
interferometry key concepts and difficulties. We then give the specifications
of the BRAIN future detector. A first module of the final instrument is planned
to be installed at Dome C in 2010. We hope to constrain a tensor to scalar
modes ratio of 0.01 with nine modules and one effective year of data. BRAIN is
a collaboration between France, Italy and United Kingdom.


title: Comparison of cosmic ray flux at sqrt(s) > 14 TeV with LHC luminosity

abstract:
  The high energy cosmic ray flux impinging on the sun and earth for 4 Gyr is
compared to the operation of the CERN Large Hadron Collider (LHC) at design
energy and luminosity. It is shown by two different calculations that both the
integrated luminosity and the total hadronic interaction rate from the cosmic
ray flux of comparable energy are many orders of magnitude larger than that of
the LHC operated for 10 years. This study indicates that it is extremely
unlikely that pernicious exotic particles, such as mini-black holes, would be
produced by the LHC that would destroy the earth.


title: A 3D dynamical model of the colliding winds in binary systems

abstract:
  We present a 3D dynamical model of the orbital induced curvature of the
wind-wind collision region in binary star systems. Momentum balance equations
are used to determine the position and shape of the contact discontinuity
between the stars, while further downstream the gas is assumed to behave
ballistically. An archimedean spiral structure is formed by the motion of the
stars, with clear resemblance to high resolution images of the so-called
``pinwheel nebulae''. A key advantage of this approach over grid or smoothed
particle hydrodynamic models is its significantly reduced computational cost,
while it also allows the study of the structure obtained in an eccentric orbit.
The model is relevant to symbiotic systems and Gamma-ray binaries, as well as
systems with O-type and Wolf-Rayet stars.
  As an example application, we simulate the X-ray emission from hypothetical
O+O and WR+O star binaries, and describe a method of ray tracing through the 3D
spiral structure to account for absorption by the circumstellar material in the
system. Such calculations may be easily adapted to study observations at
wavelengths ranging from the radio to Gamma-ray.


title: Search for Excited Electrons in ep Collisions at HERA

abstract:
  A search for excited electrons is performed using the full $e^{\pm}p$ data
sample collected by the H1 experiment at HERA, corresponding to a total
luminosity of 475 pb$^{-1}$. The electroweak decays of excited electrons
${e}^{*}\to{e}{\gamma}$, ${e}^{*}\to{e}Z$ and ${e}^{*}{\to}\nu W$ with
subsequent hadronic or leptonic decays of the $W$ and $Z$ bosons are
considered. No evidence for excited electron production is found. Mass
dependent exclusion limits on $e^*$ production cross sections and on the ratio
$f/{\Lambda}$ of the coupling to the compositeness scale are derived within
gauge mediated models. These limits extend the excluded region compared to
previous excited electron searches. The $e^*$ production via contact
interactions is also addressed for the first time in $ep$ collisions.


title:
Do subleading corrections to Bekenstein-Hawking entropy hold the key to
  quantum gravity?

abstract:
  Black-holes are considered to be theoretical laboratories for testing models
of quantum gravity. It is usually believed that any candidate for quantum
gravity must explain the microscopic origin of the Bekenstein-Hawking
($S_{_{\rm BH}}$) entropy. In this letter, we argue (i) the requirement for a
candidate approach to go beyond $S_{_{\rm BH}}$ and provide generic subleading
corrections, and (ii) the importance to {\it disentangle} and identify the
degrees of freedom leading to $S_{_{\rm BH}}$ and its subleading corrections.
Using the approach of entanglement of modes across the horizon, we show that
the microscopic degrees of freedom that lead to $S_{_{\rm BH}}$ and subleading
corrections are different. We further show, using microcanonical and canonical
ensemble approaches, that the quantum entanglement predicts generic power-law
corrections to $S_{_{\rm BH}}$ and that the corrections can be identified with
the kinematical properties of the event-horizon.


title:
Microphase separation in cross-linked polymer blends: Efficient replica
  RPA post-processing of simulation data for homopolymer networks

abstract:
  We investigate the behaviour of randomly cross-linked (co)polymer blends
using a combination of replica theory and large-scale molecular dynamics
simulations. In particular, we derive the analogue of the random phase
approximation for systems with quenched disorder and show how the required
correlation functions can be calculated efficiently. By post-processing
simulation data for homopolymer networks we are able to describe neutron
scattering measurements in heterogeneous systems without resorting to
microscopic detail and otherwise unphysical assumptions. We obtain structure
function data which illustrate the expected microphase separation and contain
system-specific information relating to the intrinsic length scales of our
networks.


title: Q-factorial Gorenstein toric Fano varieties with large Picard number

abstract:
  Q-factorial Gorenstein toric Fano varieties X of dimension d with Picard
number rho(X) correspond to simplicial reflexive d-polytopes with rho(X)+d
vertices. Casagrande showed that any simplicial reflexive d-polytope has at
most 3d vertices, if d is even, respectively, 3d-1, if d is odd. Moreover, it
is known that equality for d even implies uniqueness up to unimodular
equivalence. In this paper we completely classify all simplicial reflexive
d-polytopes having 3d-1 vertices, corresponding to d-dimensional Q-factorial
Gorenstein toric Fano varieties with Picard number 2d-1. For d even, there
exist three such varieties, with two being singular, while for d odd (d > 1)
there exist precisely two, both being nonsingular toric fiber bundles over the
projective line. This generalizes recent work of the second author.


title: Damping of forward neutrons in pp collisions

abstract:
  We calculate absorptive corrections to single pion exchange in the production
of leading neutrons in pp collisions. Contrary to the usual procedure of
convolving the survival probability with the cross section, we apply
corrections to the spin amplitudes. The non-flip amplitude turns out to be much
more suppressed by absorption than the spin-flip one. We identify the
projectile proton Fock state responsible for the absorptive corrections as a
color octet-octet 5-quarks configuration. Calculations within two very
different models, color-dipole light-cone description, and in hadronic
representation, lead to rather similar absorptive corrections. We found a much
stronger damping of leading neutrons than in some of previous estimates.
Correspondingly, the cross section is considerably smaller than was measured at
ISR. However, comparison with recent measurements by the ZEUS collaboration of
neutron production in deep-inelastic scattering provides a strong motivation
for challenging the normalization of the ISR data. This conjecture is also
supported by preliminary data from the NA49 experiment for neutron production
in pp collisions at SPS.


title:
Asymptotic Properties of an Estimator of the Drift Coefficients of
  Multidimensional Ornstein-Uhlenbeck Processes that are not Necessarily Stable

abstract:
  In this paper, we investigate the consistency and asymptotic efficiency of an
estimator of the drift matrix, $F$, of Ornstein-Uhlenbeck processes that are
not necessarily stable. We consider all the cases. (1) The eigenvalues of $F$
are in the right half space (i.e., eigenvalues with positive real parts). In
this case the process grows exponentially fast. (2) The eigenvalues of $F$ are
on the left half space (i.e., the eigenvalues with negative or zero real
parts). The process where all eigenvalues of $F$ have negative real parts is
called a stable process and has a unique invariant (i.e., stationary)
distribution. In this case the process does not grow. When the eigenvalues of
$F$ have zero real parts (i.e., the case of zero eigenvalues and purely
imaginary eigenvalues) the process grows polynomially fast. Considering (1) and
(2) separately, we first show that an estimator, $\hat{F}$, of $F$ is
consistent. We then combine them to present results for the general
Ornstein-Uhlenbeck processes. We adopt similar procedure to show the asymptotic
efficiency of the estimator.