title:
Complex solitons with power law behaviour in Bose-Einstein condensates
  near Feshbach resonance

abstract:
  Complex, localized stable solitons, characterized by a power law behaviour,
are found for a quasi-one-dimensional Bose-Einstein condensate near Feshbach
resonance. Both dark and bright solitons can be excited in the experimentally
allowed parameter domain, when two and three-body interactions are respectively
repulsive and attractive. These solutions are obtained for non-zero chemical
potential, unlike their unstable real counterparts which exist in the limit of
vanishing $\mu$. The dark solitons travel with constant speed, which is quite
different from the Lieb mode, where profiles with different speeds, bounded
above by sound velocity can exist for specified interaction strengths.


title: Sub-Threshold Field Emission from Thin Silicon Membranes

abstract:
  We report on strongly enhanced electron multiplication in thin silicon
membranes. The device is configured as a transmission-type membrane for
electron multiplication. A sub-threshold electric field applied on the emission
side of the membrane enhances the number of electrons emitted by two orders of
magnitude. This enhancement stems from field emitted electrons stimulated by
the incident particles, which suggests that stacks of silicon membranes can
form ultra-sensitive electron multipliers.


title:
Evidence of a Broad Relativistic Iron Line from the Neutron Star
  Low-Mass X-ray Binary Serpens X-1

abstract:
  We report on an analysis of XMM-Newton data from the neutron star low mass
X-ray binary (LMXB) Serpens X-1 (Ser X-1). Spectral analysis of EPIC PN data
indicates that the previously known broad iron K$\alpha$ emission line from
this source has a significantly skewed structure with a moderately extended red
wing. The asymmetric shape of the line is well described with the laor and
diskline models in XSPEC and strongly supports an inner accretion disk origin
of the line. To our knowledge this is the first strong evidence of a
relativistic line in a neutron star LMXB. This finding suggests that the broad
lines seen in other neutron star LMXBs likely originate from the inner disk as
well. Detailed study of such lines opens up a new way to probe neutron star
parameters and their strong gravitational fields. The red wing of the iron line
from Ser X-1 is not as broad as that observed from some black hole systems.
This is not unreasonable for a neutron star system, as the accretion disk has
to terminate at or before the hard stellar surface. Finally, the inferred
source inclination angle in the approximate range 40 degree to 60 degree is
consistent with the lack of dips and eclipses from Ser X-1.


title:
Relationship Between Bicomplex Generalized Analytic Functions and
  Solutions of the Complexified Schr\"odinger Equation

abstract:
  Using three different representations of the bicomplex numbers $T\cong
Cl_{C}(1,0) \cong Cl_{C}(0,1)$, which is a commutative ring with zero divisors
defined by $T={w_0+w_1 {i_1}+w_2{i_2}+w_3 {j} | w_0,w_1,w_2,w_3 \in{R}}$ where
${i_1^{2}}=-1, {i_2^{2}}=-1, {j^{2}}=1 and {i_1}{i_2}={j}={i_2}{i_1}$, we
construct three classes of bicomplex pseudoanalytic functions. In particular,
we obtain some specific systems of Vekua equations of two complex variables and
we established some connections between one of these systems and the classical
Vekua equations. We consider also the complexification of the real stationary
two-dimensional Schr{\"o}dinger equation. With the aid of any of its particular
solutions, we construct a specific bicomplex Vekua equation possessing the
following special property. The scalar parts of its solutions are solutions of
the original complexified Schr{\"o}dinger equation and the vectorial parts are
solutions of another complexified Schr{\"o}dinger equation.


title: Improved Limits on the Lepton-Flavor Violating Decays tau- --> l-l+l-

abstract:
  A search for the neutrinoless, lepton-flavor violating decay of the tau
lepton into three charged leptons has been performed using 376 fb^{-1} of data
collected at an e^+e^- center-of-mass energy around 10.58 GeV with the BaBar
detector at the PEP-II storage rings. In all six decay modes considered, the
numbers of events found in data are compatible with the background
expectations. Upper limits on the branching fractions are set in the range
(4-8) x 10^{-8} at 90% confidence level.


title:
Magnetic and thermal properties of the S = 1/2 zig-zag spin-chain
  compound In2VO5

abstract:
  Static magnetic susceptibility \chi, ac susceptibility \chi_{ac} and specific
heat C versus temperature T measurements on polycrystalline samples of In2VO5
and \chi and C versus T measurements on the isostructural, nonmagnetic compound
In2TiO5 are reported. A Curie-Wiess fit to the \chi(T) data above 175 K for
In2VO5 indicates ferromagnetic exchange between V^{4+} (S = 1/2) moments. Below
150 K the \chi(T) data deviate from the Curie-Weiss behavior but there is no
signature of any long range magnetic order down to 1.8 K. There is a cusp at
2.8 K in the zero field cooled (ZFC) \chi(T) data measured in a magnetic field
of 100 Oe and the ZFC and field cooled (FC) data show a bifurcation below this
temperature. The frequency dependence of the \chi_{ac}(T) data indicate that
below 3 K the system is in a spin-glass state. The difference \Delta C between
the heat capacity of In2VO5 and In2TiO5 shows a broad anomaly peaked at 130 K.
The entropy upto 300 K is more than what is expected for S = 1/2 moments. The
anomaly in \Delta C and the extra entropy suggests that there may be a
structural change below 130 K in In2VO5.


title: Extensions in FormCalc 5.3

abstract:
  We present a new tool for editing Feynman diagrams as well as several
extensions in version 5.3 of the package FormCalc for the calculation of
Feynman diagrams.


title:
Thermonuclear Flame Spreading on Rapidly Spinning Neutron Stars:
  Indications of the Coriolis Force?

abstract:
  Millisecond period brightness oscillations during the intensity rise of
thermonuclear X-ray bursts are likely caused by an azimuthally asymmetric,
expanding burning region on the stellar surface. The time evolution of the
oscillation amplitude during the intensity rise encodes information on how the
thermonuclear flames spread across the stellar surface. This process depends on
properties of the accreted burning layer, surface fluid motions, and the
surface magnetic field structure, and thus can provide insight into these
stellar properties. We present two examples of bursts from different sources
that show a decrease in oscillation amplitude during the intensity rise. Using
theoretical modeling, we demonstrate that the observed amplitude evolution of
these bursts is not well described by a uniformly expanding circular burning
region. We further show that by including in our model the salient aspects of
the Coriolis force (as described by Spitkovsky, Levin, and Ushomirsky) we can
qualitatively reproduce the observed evolution curves. Our modeling shows that
the evolutionary structure of burst oscillation amplitude is sensitive to the
nature of flame spreading, while the actual amplitude values can be very useful
to constrain some source parameters.


title:
Proof of Lemma 6.3 in ``The crossing number of $K_{4,n}$ on the torus
  and the Klein bottle"

abstract:
  We found that Lemma 6.3 in the paper ``The crossing number of $K_{4,n}$ on
the torus and the Klein bottle" is wrong.


title: Gradient regularity for elliptic equations in the Heisenberg Group

abstract:
  We give dimension-free regularity conditions for a class of possibly
degenerate sub-elliptic equations in the Heisenberg group exhibiting
super-quadratic growth in the horizontal gradient; this solves an issue raised
by Manfredi & Mingione (Math. Ann. 2007) where only dimension dependent bounds
for the growth exponent are given. We also obtain explicit a priori local
regularity estimates, and cover the case of the horizontal p-Laplacean
operator, extending some regularity proven by Domokos & Manfredi (Cont. Math.
2005). In turn, the a priori estimates found are shown to imply the suitable
local Calderon-Zygmund theory for the related class of non-homogeneous,
possibly degenerate equations involving discontinuous coefficients. These last
results extend to the sub-elliptic setting a few classical non-linear Euclidean
results of Iwaniec and Dibenedetto & Manfredi, and to the non-linear case
estimates of the same nature that were available in the sub-elliptic setting
only for solutions to linear equations.


title: Memoirs of an Early String Theorist

abstract:
  I worked on String Theory over a period of five years during the First String
Era, the most intellectually satisfying years of my scientific life. One of the
early prospectors in the String Theory Mine, I was fortunate enough to
contribute to the birth of this subject, which retains after these many years,
its magical hold on our imaginations and expectations.


title: Hyperfine spectra of trapped Bosons in optical lattices

abstract:
  We calculate the interaction induced inhomogeneous broadening of spectral
lines in a trapped Bose gas as a function of the depth of a three-dimensional
cubic optical lattice. As observed in recent experiments, we find that the
terraced "wedding-cake" structure of Mott plateaus splits the spectrum into a
series of discrete peaks. The spectra are extremely sensitive to density
corrugations and trap anharmonicities. For example, even when the majority of
the cloud is superfluid the spectrum displays discrete peaks.


title: Structured Near-Optimal Channel-Adapted Quantum Error Correction

abstract:
  We present a class of numerical algorithms which adapt a quantum error
correction scheme to a channel model. Given an encoding and a channel model, it
was previously shown that the quantum operation that maximizes the average
entanglement fidelity may be calculated by a semidefinite program (SDP), which
is a convex optimization. While optimal, this recovery operation is
computationally difficult for long codes. Furthermore, the optimal recovery
operation has no structure beyond the completely positive trace preserving
(CPTP) constraint. We derive methods to generate structured channel-adapted
error recovery operations. Specifically, each recovery operation begins with a
projective error syndrome measurement. The algorithms to compute the structured
recovery operations are more scalable than the SDP and yield recovery
operations with an intuitive physical form. Using Lagrange duality, we derive
performance bounds to certify near-optimality.


title:
Asymptotics of QCD traveling waves with fluctuations and running
  coupling effects

abstract:
  Extending independently the Balitsky-Kovchegov (BK) equation to running
coupling or to fluctuation effects due to Pomeron loops is known to lead in
both cases to qualitative changes of the traveling-wave asymptotic solutions.
In this paper we study the extension of the forward BK equation, including both
running coupling and fluctuations effects, using the method developed for the
fixed coupling case. We derive the exact asymptotic behavior of the
probabilistic distribution of the saturation scale.


title:
The nature of the dense core population in the Pipe Nebula: A survey of
  NH3, CCS, and HC5N molecular line emission

abstract:
  Recent extinction studies of the Pipe Nebula (d=130 pc) reveal many cores
spanning a range in mass from 0.2 to 20.4 Msun. These dense cores were
identified via their high extinction and comprise a starless population in a
very early stage of development. Here we present a survey of NH3 (1,1), NH3
(2,2), CCS (2_1,1_0), and HC5N (9,8) emission toward 46 of these cores. An
atlas of the 2MASS extinction maps is also presented. In total, we detect 63%
of the cores in NH3 (1,1) 22% in NH3 (2,2), 28% in CCS, and 9% in HC5N
emission. We find the cores are associated with dense gas (~10^4 cm-3) with 9.5
< T_k < 17 K. Compared to C18O, we find the NH3 linewidths are systematically
narrower, implying that the NH3 is tracing the dense component of the gas and
that these cores are relatively quiescent. We find no correlation between core
linewidth and size. The derived properties of the Pipe cores are similar to
cores within other low-mass star-forming regions: the only differences are that
the Pipe cores have weaker NH3 emision and most show no current star formation
as evidenced by the lack of embedded infrared sources. Such weak NH3 emission
could arise due to low column densities and abundances or reduced excitation
due to relatively low core volume densities. Either alternative implies that
the cores are relatively young. Thus, the Pipe cores represent an excellent
sample of dense cores in which to study the initial conditions for star
formation and the earliest stages of core formation and evolution.


title: On Kalai's conjectures concerning centrally symmetric polytopes

abstract:
  In 1989 Kalai stated the three conjectures A, B, C of increasing strength
concerning face numbers of centrally symmetric convex polytopes. The weakest
conjecture, A, became known as the ``$3^d$-conjecture''. It is well-known that
the three conjectures hold in dimensions d \leq 3. We show that in dimension 4
only conjectures A and B are valid, while conjecture C fails. Furthermore, we
show that both conjectures B and C fail in all dimensions d \geq 5.


title: On a conjecture of Hacon and McKernan in dimension three

abstract:
  We prove that there exists a universal constant $r_3$ such that if $X$ is a
smooth projective threefold over $\mathbb{C}$ with non-negative Kodaira
dimension, then the linear system $|r K_X|$ admits a fibration that is
birational to the Iitaka fibration as soon as $r \geq r_3$ and sufficiently
divisible. This gives an affirmative answer to a conjecture of Hacon and
McKernan in the case of threefolds. Viehweg and Zhang have posted a stronger
result along these lines using different methods.


title: How a liquid becomes a glass both on cooling and on heating

abstract:
  The onset of structural arrest and glass formation in a concentrated
suspension of silica nanoparticles in a water-lutidine binary mixture near its
consolute point is studied by exploiting the near-critical fluid degrees of
freedom to control the strength of an attraction between particles and
multispeckle x-ray photon correlation spectroscopy to determine the particles'
collective dynamics. This model system undergoes a glass transition both on
cooling and on heating, and the intermediate liquid realizes unusual
logarithmic relaxations. How vitrification occurs for the two different glass
transitions is characterized in detail and comparisons are drawn to recent
theoretical predictions for glass formation in systems with attractive
interactions.


title: Commutator maps, measure preservation, and T-systems

abstract:
  Let G be a finite simple group. We show that the commutator map $a : G \times
G \to G$ is almost equidistributed as the order of G goes to infinity. This
somewhat surprising result has many applications. It shows that for a subset X
of G we have $a^{-1}(X)/|G|^2 = |X|/|G| + o(1)$, namely $a$ is almost measure
preserving. From this we deduce that almost all elements $g \in G$ can be
expressed as commutators $g = [x,y]$ where x,y generate G. This enables us to
solve some open problems regarding T-systems and the Product Replacement
Algorithm (PRA) graph. We show that the number of T-systems in G with two
generators tends to infinity as the order of G goes to infinity. This settles a
conjecture of Guralnick and Pak. A similar result follows for the number of
connected components of the PRA graph of G with two generators. Some of our
results apply for more general finite groups, and more general word maps. Our
methods are based on representation theory, combining classical character
theory with recent results on character degrees and values in finite simple
groups. In particular the so called Witten zeta function plays a key role in
the proofs.


title: Symmetry of Lepton Mixing

abstract:
  Neutrino mixing is studied from a symmetry perspective, both bottom-up and
top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or
one of its three partial patterns, and construct a list of horizontal symmetry
groups capable of reproducing the mixng without adjustment of parameters. This
list, labeled by an integer $n\ge 3$, is explicitly calculated for $n=3$. In
the top-down approach, we start from any finite group possessing a
three-dimensional irreducible representation and an order-2 element, give a
recipe to determine what mixing pattern it contains, and how to construct a
dynamical model to reveal a particular mixing. Finally, we point out that if
quark mixing is controlled by symmetry in this way, then there is an exciting
possibility to determine most of the CKM mixing parameters by symmetry alone.


title: Jahn-Teller effect versus Hund's rule coupling in C60N-

abstract:
  We propose variational states for the ground state and the low-energy
collective rotator excitations in negatively charged C60N- ions (N=1...5). The
approach includes the linear electron-phonon coupling and the Coulomb
interaction on the same level. The electron-phonon coupling is treated within
the effective mode approximation (EMA) which yields the linear t_{1u} x H_g
Jahn-Teller problem whereas the Coulomb interaction gives rise to Hund's rule
coupling for N=2,3,4. The Hamiltonian has accidental SO(3) symmetry which
allows an elegant formulation in terms of angular momenta. Trial states are
constructed from coherent states and using projection operators onto angular
momentum subspaces which results in good variational states for the complete
parameter range. The evaluation of the corresponding energies is to a large
extent analytical. We use the approach for a detailed analysis of the
competition between Jahn-Teller effect and Hund's rule coupling, which
determines the spin state for N=2,3,4. We calculate the low-spin/high-spin gap
for N=2,3,4 as a function of the Hund's rule coupling constant J. We find that
the experimentally measured gaps suggest a coupling constant in the range
J=60-80meV. Using a finite value for J, we recalculate the ground state
energies of the C60N- ions and find that the Jahn-Teller energy gain is partly
counterbalanced by the Hund's rule coupling. In particular, the ground state
energies for N=2,3,4 are almost equal.


title:
A note on the convergence of renewal and regenerative processes to a
  Brownian bridge

abstract:
  The standard functional central limit theorem for a renewal process with
finite mean and variance, results in a Brownian motion limit. This note shows
how to obtain a Brownian bridge process by a direct procedure that does not
involve conditioning. Several examples are also considered.


title: A simple proof of the algebraic version of a conjecture by Vogan

abstract:
  In a recent manuscript, D.Vogan conjectures that four canonical
globalizations of Harish-Chandra modules commute with certain n-cohomology
groups. In this article we prove that Vogan's conjecture holds for one of the
globalizations if and only if it holds for the dual. Using a previously
published result of one of the authors, which establishes the conjecture for
the minimal globalization, we can therefore deduce Vogan's conjecture for the
maximal globalization.


title:
Band-Gap Engineering of Phononic Crystals: A Computational Survey of
  Two-Dimensional Systems

abstract:
  We present graphic results with high-levels of abstraction to desribe the
basic principles and rules of thumb for acoustic or phononic band-gap
engineering. We use these rules for developing an improved machien mount for
damping acoustic vibrations, a phononic lens and a frequency selective filter
in the acoustic regime.


title: A covariant entropy conjecture on cosmological dynamical horizon

abstract:
  We here propose a covariant entropy conjecture on cosmological dynamical
horizon. After the formulation of our conjecture, we test its validity in
adiabatically expanding universes with open, flat and closed spatial geometry,
where our conjecture can also be viewed as a cosmological version of the
generalized second law of thermodynamics in some sense.


title:
A Multiwavelength Analysis of the Strong Lensing Cluster RCS
  022434-0002.5 at z=0.778

abstract:
  We present the results of two (101 ks total) Chandra observations of the
z=0.778 optically selected lensing cluster RCS022434-0002.5, along with weak
lensing and dynamical analyses of this object. An X-ray spectrum extracted
within R(2500) (362 h(70)^(-1) kpc) results in an integrated cluster
temperature of 5.1 (+0.9,-0.5) keV. The surface brightness profile of
RCS022434-0002.5 indicates the presence of a slight excess of emission in the
core. A hardness ratio image of this object reveals that this central emission
is primarily produced by soft X-rays. Further investigation yields a cluster
cooling time of 3.3 times 10^9 years, which is less than half of the age of the
universe at this redshift given the current LCDM cosmology. A weak lensing
analysis is performed using HST images, and our weak lensing mass estimate is
found to be in good agreement with the X-ray determined mass of the cluster.
Spectroscopic analysis reveals that RCS022434-0002.5 has a velocity dispersion
of 900 +/- 180 km/s, consistent with its X-ray temperature. The core gas mass
fraction of RCS022434-0002.5 is, however, found to be three times lower than
expected universal values. The radial distribution of X-ray point sources
within R(200) of this cluster peaks at ~0.7 R(200), possibly indicating that
the cluster potential is influencing AGN activity at that radius. Correlations
between X-ray and radio (VLA) point source positions are also examined.


title: Reply to Comment: S. Das Sarma et al., arXiv:0708.3239

abstract:
  The authors of the Comment ascribe us claims never made while moderating
their own previous unsubstantiated statements.


title: Exploiting scale dependence in cosmological averaging

abstract:
  We study the role of scale dependence in the Buchert averaging method, using
the flat Lemaitre-Tolman-Bondi model as a testing ground. Within this model, a
single averaging scale gives too coarse predictions, but by replacing it with
the distance of the objects R(z) for each redshift z, we find an O(1%)
precision at z<2 in the averaged luminosity and angular diameter distances
compared to their exact expressions. At low redshifts, we show the improvement
for generic inhomogeneity profiles, and our numerical computations further
verify it up to redshifts z~2. At higher redshifts, the method breaks down due
to its inability to capture the time evolution of the inhomogeneities. We also
demonstrate that the running smoothing scale R(z) can mimic acceleration,
suggesting it could be at least as important as the backreaction in explaining
dark energy as an inhomogeneity induced illusion.


title: Power-law expansion cosmology in Schr\"odinger-type formulation

abstract:
  We investigate non-linear Schr\"{o}dinger-type formulation of cosmology of
which our cosmological system is a general relativistic FRLW universe
containing canonical scalar field under arbitrary potential and a barotropic
fluid with arbitrary spatial curvatures. We extend the formulation to include
phantom field case and we have found that Schr\"{o}dinger wave function in this
formulation is generally non-normalizable. Assuming power-law expansion, $a
\sim t^q$, we obtain scalar field potential as function of time. The
corresponding quantities in Schr\"{o}dinger-type formulation such as
Schr\"{o}dinger total energy, Schr\"{o}dinger potential and wave function are
also presented.


title: The Origin of Solar Activity in the Tachocline

abstract:
  Solar active regions, produced by the emergence of tubes of strong magnetic
field in the photosphere, are restricted to within 35 degrees of the solar
equator. The nature of the dynamo processes that create and renew these fields,
and are therefore responsible for solar magnetic phenomena, are not well
understood. We analyze the magneto-rotational stability of the solar tachocline
for general field geometry. This thin region of strong radial and latitudinal
differential rotation, between the radiative and convective zones, is unstable
at latitudes above 37 degrees, yet is stable closer to the equator. We propose
that small-scale magneto-rotational turbulence prevents coherent magnetic
dynamo action in the tachocline except in the vicinity of the equator, thus
explaining the latitudinal restriction of active regions. Tying the magnetic
dynamo to the tachocline elucidates the physical conditions and processes
relevant to solar magnetism.


title: On the Cauchy problem for higher-order nonlinear dispersive equations

abstract:
  We study a class of higher-order KdV equations. We show that the associated
initial value problem is well posed in weighted Besov and Sobolev spaces for
small initial data. We also prove ill-posedness results when in H^s(\R), for
any real s.


title:
Comment on "Limits on the Time Variation of the Electromagnetic
  Fine-Structure Constant in the Low Energy Limit from Absorption Lines in the
  Spectra of Distant Quasars"

abstract:
  In their Letter [Phys. Rev. Lett. 92, 121302 (2004)] (also [Astron.
Astrophys. 417, 853 (2004)]), Srianand et al. analysed optical spectra of
heavy-element species in 23 absorption systems along background quasar
sight-lines, reporting limits on relative variations in the fine-structure
constant: da/a=(-0.06+/-0.06) x 10^{-5}. Here we demonstrate basic flaws in
their analysis, using the same data and absorption profile fits, which led to
spurious values of da/a and significantly underestimated uncertainties. We
conclude that these data and fits offer no stringent test of previous evidence
for a varying alpha.
  In their Reply (arXiv:0711.1742) to this Comment, Srianand et al. state or
argue several points regarding their original analysis and our new analysis. We
discuss these points here, dismissing all of them because they are demonstrably
incorrect or because they rely on a flawed application of simple statistical
arguments.


title:
A large population of mid-infrared selected, obscured active galaxies in
  the Bootes field

abstract:
  We identify a population of 640 obscured and 839 unobscured AGNs at redshifts
0.7<z<~3 using multiwavelength observations of the 9 deg^2 NOAO Deep Wide-Field
Survey (NDWFS) region in Bootes. We select AGNs on the basis of Spitzer IRAC
colors obtained by the IRAC Shallow Survey. Redshifts are obtained from optical
spectroscopy or photometric redshift estimators. We classify the IR-selected
AGNs as IRAGN 1 (unobscured) and IRAGN 2 (obscured) using a simple criterion
based on the observed optical to mid-IR color, with a selection boundary of
R-[4.5]=6.1, where R and [4.5] are the Vega magnitudes in the R and IRAC 4.5
micron bands, respectively. We verify this selection using X-ray stacking
analyses with data from the Chandra XBootes survey, as well as optical
photometry from NDWFS and spectroscopy from MMT/AGES. We show that (1) these
sources are indeed AGNs, and (2) the optical/IR color selection separates
obscured sources (with average N_H~3x10^22 cm^-2 obtained from X-ray hardness
ratios, and optical colors and morphologies typical of galaxies) and unobscured
sources (with no X-ray absorption, and quasar colors and morphologies), with a
reliability of >~80%. The observed numbers of IRAGNs are comparable to
predictions from previous X-ray, optical, and IR luminosity functions, for the
given redshifts and IRAC flux limits. We observe a bimodal distribution in
R-[4.5] color, suggesting that luminous IR-selected AGNs have either low or
significant dust extinction, which may have implications for models of AGN
obscuration.


title: Adiabatic cross-polarization

abstract:
  A scheme of adiabatic cross-polarization is described. It is based on
demagnetization - remagnetization, when the Zeeman order of abundant nuclei in
the laboratory frame is first adiabatically converted into the dipolar order,
and then, into the Zeeman order of rare nuclei. The scheme, implemented with
two low-power frequency-sweeping pulses, is very efficient for static samples
and can significantly increase polarization of rare nuclei, compared to the
conventional Hartmann-Hahn cross-polarization. The experimental examples are
presented for solids, liquid crystal, and molecules in a liquid-crystalline
solvent.


title: Black Holes, Entropy, and Information

abstract:
  Black holes are a continuing source of mystery. Although their classical
properties have been understood since the 1970's, their quantum properties
raise some of the deepest questions in theoretical physics. Some of these
questions have recently been answered using string theory. I will review these
fundamental questions, and the aspects of string theory needed to answer them.
I will then explain the recent developments and new insights into black holes
that they provide. Some remaining puzzles are mentioned in the conclusion.


title: The family of analytic Poisson brackets for the Camassa--Holm hierarchy

abstract:
  We consider the integrable Camassa--Holm hierarchy on the line with positive
initial data rapidly decaying at infinity. It is known that flows of the
hierarchy can be formulated in a Hamiltonian form using two compatible Poisson
brackets. In this note we propose a new approach to Hamiltonian theory of the
CH equation. In terms of associated Riemann surface and the Weyl function we
write an analytic formula which produces a family of compatible Poisson
brackets. The formula includes an entire function $f(z)$ as a parameter. The
simplest choice $f(z)=1$ or $f(z)=z$ corresponds to the rational or
trigonometric solutions of the Yang-Baxter equation and produces two original
Poisson brackets. All other Poisson brackets corresponding to other choices of
the function $f(z)$ are new.


title: Entanglement in Disordered Systems at Criticality

abstract:
  Entanglement is a physical resource of a quantum system just like mass,
charge or energy. Moreover it is an essential tool for many purposes of
nowadays quantum information processing, e.g. quantum teleportation, quantum
cryptography or quantum computation. In this work we investigate an extended
system of N qubits. In our system a qubit is the absence or presence of an
electron at a site of a tight-binding system. Several measures of entanglement
between a given qubit and the rest of the system and also the entanglement
between two qubits and the rest of the system is calculated in a one-electron
picture in the presence of disorder. We invoke the power law band random matrix
model which even in one dimension is able to produce multifractal states that
fluctuate at all length scales. The concurrence, the tangle and the
entanglement entropy all show interesting scaling properties.


title:
Formal equivalence between Tsallis and extended Boltzmann-Gibbs
  statistics

abstract:
  A formal correspondence between the q-distribution obtained from the Tsallis
entropy and non-maxwellian distributions obtained from the Boltzmann-Gibbs
entropy is afforded.


title:
The influence of cluster emission and the symmetry energy on
  neutron-proton spectral double ratios

abstract:
  Emissions of free neutrons and protons from the central collisions of
124Sn+124Sn and 112Sn+112Sn reactions are simulated using the Improved Quantum
Molecular Dynamics model with two different density dependence of the symmetry
energy in the nuclear equation of state. The constructed double ratios of the
neutron to proton ratios of the two reaction systems are found to be sensitive
to the symmetry terms in the EOS. The effect of cluster formation is examined
and found to affect the double ratios mainly in the low energy region. In order
to extract better information on symmetry energy with transport models, it is
therefore important to have accurate data in the high energy region which also
is affected minimally by sequential decays.


title:
On representations of certain pseudo-Anosov maps of Riemann surfaces
  with punctures

abstract:
  Let $S$ be a Riemann surface of type $(p,n)$ with $3p+n>4$ and $n\geq 1$. Let
$\alpha_1,\alpha_2\subset S$ be two simple closed geodesics such that
$\{\alpha_1, \alpha_2\}$ fills $S$. It was shown by Thurston that most maps
obtained through Dehn twists along $\alpha_1$ and $\alpha_2$ are pseudo-Anosov.
Let $a$ be a puncture. In this paper, we study the family $\mathcal{F}(S,a)$ of
pseudo-Anosov maps on $S$ that projects to the trivial map as $a$ is filled in,
and show that there are infinitely many elements in $\mathcal{F}(S,a)$ that
cannot be obtained from Dehn twists along two filling geodesics. We further
characterize all elements in $\mathcal{F}(S,a)$ that can be constructed by two
filling geodesics. Finally, for any point $b\in S$, we obtain a family
$\mathcal{H}$ of pseudo-Anosov maps on $S\backslash \{b\}$ that is not obtained
from Thurston's construction and projects to an element $\chi\in
\mathcal{F}(S,a)$ as $b$ is filled in, some properties of elements in
$\mathcal{H}$ are also discussed.


title:
Accuracy of a teleported trapped field state inside a single bimodal
  cavity

abstract:
  We propose a simplified scheme to teleport a superposition of coherent states
from one mode to another of the same bimodal lossy cavity. Based on current
experimental capabilities, we present a calculation of the fidelity that can be
achieved, demonstrating accurate teleportation if the mean photon number of
each mode is at most 1.5. Our scheme applies as well for teleportation of
coherent states from one mode of a cavity to another mode of a second cavity,
both cavities embedded in a common reservoir.


title: Multiplicity in Supersymmetric Spin Chains

abstract:
  We discuss a simple procedure for obtaining new integrable spin chains from
old by replacing each single state of the original model by some collection of
states. This works whenever the Lax matrix of the chain has a certain form. The
simplest example is the su(n) XX model. We apply the techniques of the nested
algebraic Bethe ansatz to solve such systems, in the bosonic and supersymmetric
cases.


title:
Localization and delocalization errors in density functional theory and
  implications for band-gap prediction

abstract:
  The band-gap problem and other systematic failures of approximate functionals
are explained from an analysis of total energy for fractional charges. The
deviation from the correct intrinsic linear behavior in finite systems leads to
delocalization and localization errors in large or bulk systems. Functionals
whose energy is convex for fractional charges such as LDA display an incorrect
apparent linearity in the bulk limit, due to the delocalization error. Concave
functionals also have an incorrect apparent linearity in the bulk calculation,
due to the localization error and imposed symmetry. This resolves an important
paradox and opens the possibility to obtain accurate band-gaps from DFT.


title: Arithmetic structures in smooth subsets of F_p

abstract:
  Fix integers a_1,...,a_d satisfying a_1 + ... + a_d = 0. Suppose that f : Z_N
-> [0,1], where N is prime. We show that if f is ``smooth enough'' then we can
bound from below the sum of f(x_1)...f(x_d) over all solutions (x_1,...,x_d) in
Z_N to a_1 x_1 + ... + a_d x_d == 0 (mod N). Note that d = 3 and a_1 = a_2 = 1
and a_3 = -2 is the case where x_1,x_2,x_3 are in arithmetic progression. By
``smooth enough'' we mean that the sum of squares of the lower order Fourier
coefficients of f is ``small'', a property shared by many naturally-occurring
functions, among them certain ones supported on sumsets and on certain types of
pseudoprimes. The paper can be thought of as a generalization of another result
of the author, which dealt with a F_p^n analogue of the problem. It appears
that the method in that paper, and to a more limited extent the present paper,
uses ideas similar to those of B. Green's ``arithmetic regularity lemma'', as
we explain in the paper.


title:
Two-dimensional quantum-dot helium in a magnetic field: Variational
  theory

abstract:
  A trial wave function for two-dimensional quantum dot helium in an arbitrary
perpendicular magnetic field (a system of two interacting electrons in a
two-dimensional parabolic confinement potential) is introduced. A key
ingredient of this trial wave function is a Jastrow pair correlation factor
that has a displaced Gaussian form. The above choice of the pair correlation
factor is instrumental on assuring the overall quality of the wave function at
all values of the magnetic field.Exact numerical diagonalization results are
used to gauge the quality of the proposed trial wave function.We find out that
this trial wave function is an excellent representation of the true ground
state at all values of the magnetic field including weak (or zero) and strong
magnetic fields.


title: Time dependent black holes and thermal equilibration

abstract:
  We study aspects of a recently proposed exact time dependent black hole
solution of IIB string theory using the AdS/CFT correspondence. The dual field
theory is a thermal system in which initially a vacuum density for a
non-conserved operator is turned on. We can see that in agreement with general
thermal field theory expectation the system equilibrates: the expectation value
of the non-conserved operator goes to zero exponentially and the entropy
increases. In the field theory the process can be described quantitatively in
terms of a thermofield state and exact agreement with the gravity answers is
found.


title:
Influence of the N*(1440) and N*(1535) Resonances in Intermediate Energy
  pp and np Scattering

abstract:
  Motivated by a recent measurement of proton-proton elastic scattering
observables up to 3.0 GeV, we investigate the description of those data within
models of the nucleon-nucleon (NN) interaction valid above the pion production
threshold. In addition to including the well known Delta resonance we
incorporate two low-lying N* resonances, the N*(1440) and the N*(1535), and
study their influence on pp and np observables for projectile laboratory
kinetic energies up to 1.5 GeV.


title: An Ergodic Result

abstract:
  A rather general ergodic type scheme is presented on arbitrary sets X, as
they are generated by arbitrary mappings T : X \longrightarrow X. The
structures considered on X are given by suitable subsets of the set of all of
its finite partitions. Ergodicity is studied not with respect to subsets of X,
but with the {\it inverse limits} of families of finite partitions.


title:
Electronic, dynamical, and thermal properties of ultra-incompressible
  superhard rhenium diboride: A combined first-principles and neutron
  scattering study

abstract:
  Rhenium diboride is a recently recognized ultra-incompressible superhard
material. Here we report the electronic (e), phonon (p), e-p coupling and
thermal properties of ReB$_2$ from first-principles density-functional theory
(DFT) calculations and neutron scattering measurements. Our calculated elastic
constants ($c_{11}$ = 641 GPa, $c_{12}$ = 159 GPa, $c_{13}$ = 128 GPa, $c_{33}$
= 1037 GPa, and $c_{44}$ = 271 GPa), bulk modulus ($B$ $\approx$ 350 GPa) and
hardness ($H$ $\approx$ 46 GPa) are in good agreement with the reported
experimental data. The calculated phonon density of states (DOS) agrees very
well with our neutron vibrational spectroscopy result. Electronic and phonon
analysis indicates that the strong covalent B-B and Re-B bonding is the main
reason for the super incompressibility and hardness of ReB$_2$. The thermal
expansion coefficients, calculated within the quasi-harmonic approximation and
measured by neutron powder diffraction, are found to be nearly isotropic in $a$
and $c$ directions and only slightly larger than that of diamond in terms of
magnitude. The excellent agreement found between calculations and experimental
measurements indicate that first-principles calculations capture the main
interactions in this class of superhard materials, and thus can be used to
search, predict, and design new materials with desired properties.


title: Near-horizon geometries of supersymmetric AdS(5) black holes

abstract:
  We provide a classification of near-horizon geometries of supersymmetric,
asymptotically anti-de Sitter, black holes of five-dimensional U(1)^3-gauged
supergravity which admit two rotational symmetries. We find three
possibilities: a topologically spherical horizon, an S^1 \times S^2 horizon and
a toroidal horizon. The near-horizon geometry of the topologically spherical
case turns out to be that of the most general known supersymmetric,
asymptotically anti-de Sitter, black hole of U(1)^3-gauged supergravity. The
other two cases have constant scalars and only exist in particular regions of
this moduli space -- in particular they do not exist within minimal gauged
supergravity. We also find a solution corresponding to the near-horizon
geometry of a three-charge supersymmetric black ring held in equilibrium by a
conical singularity; when lifted to type IIB supergravity this solution can be
made regular, resulting in a discrete family of warped AdS(3) geometries.
Analogous results are presented in U(1)^n gauged supergravity.


title: Relative-Error CUR Matrix Decompositions

abstract:
  Many data analysis applications deal with large matrices and involve
approximating the matrix using a small number of ``components.'' Typically,
these components are linear combinations of the rows and columns of the matrix,
and are thus difficult to interpret in terms of the original features of the
input data. In this paper, we propose and study matrix approximations that are
explicitly expressed in terms of a small number of columns and/or rows of the
data matrix, and thereby more amenable to interpretation in terms of the
original data. Our main algorithmic results are two randomized algorithms which
take as input an $m \times n$ matrix $A$ and a rank parameter $k$. In our first
algorithm, $C$ is chosen, and we let $A'=CC^+A$, where $C^+$ is the
Moore-Penrose generalized inverse of $C$. In our second algorithm $C$, $U$, $R$
are chosen, and we let $A'=CUR$. ($C$ and $R$ are matrices that consist of
actual columns and rows, respectively, of $A$, and $U$ is a generalized inverse
of their intersection.) For each algorithm, we show that with probability at
least $1-\delta$: $$ ||A-A'||_F \leq (1+\epsilon) ||A-A_k||_F, $$ where $A_k$
is the ``best'' rank-$k$ approximation provided by truncating the singular
value decomposition (SVD) of $A$. The number of columns of $C$ and rows of $R$
is a low-degree polynomial in $k$, $1/\epsilon$, and $\log(1/\delta)$. Our two
algorithms are the first polynomial time algorithms for such low-rank matrix
approximations that come with relative-error guarantees; previously, in some
cases, it was not even known whether such matrix decompositions exist. Both of
our algorithms are simple, they take time of the order needed to approximately
compute the top $k$ singular vectors of $A$, and they use a novel, intuitive
sampling method called ``subspace sampling.''


title: Homotopy characterization of ANR mapping spaces

abstract:
  Let Y be an absolute neighborhood retract (ANR) for the class of metric
spaces and let X be a Hausdorff space. Let map(X,Y) denote the space of
continuous maps from X to Y with the compact open topology. It is shown that if
X is a CW complex then map(X,Y) is an ANR for the class of metric spaces if and
only if map(X,Y) is metrizable and has the homotopy type of a CW complex. The
same holds also when X is a compactly generated hemicompact space
(metrizability assumption is void in this case).


title: Upper limit for circumstellar gas around the Type Ia SN 2000cx

abstract:
  The nature of the companion stars in Type Ia Supernova (SNe) progenitor
systems remains unclear. One possible way to discriminate between different
scenarios is the presence (or absence) of circumstellar material, the left
overs from the progenitor evolution that may be revealed by their interaction
with the SN. A new method to probe the circumstellar environment has been
exploited for the normal Type Ia SN 2006X, leading for the first time to the
direct detection of material which escaped the progenitor system. In this paper
we apply the same analysis to the peculiar Type Ia SN 2000cx, with the aim of
constraining the properties of its progenitor system. Using multi-epoch,
high-resolution spectroscopy we have studied the spectral region where narrow,
time-variable NaID absorption features are expected in case circumstellar
material is present along the line of sight. No NaID absorption is detected in
the rest-frame of the host galaxy to a level of a few mA, setting a stringent
upper limit to the column density of the absorbing material (N(NaI)<=2 x 10^10
cm-2). In this respect the peculiar Type Ia SN 2000cx is different from the
normal Ia SN 2006X. Whether this is to be attributed to a different progenitor
system, to viewing-angle effects or to a low metallicity remains to be
clarified.


title: Convolutional Entanglement Distillation

abstract:
  We develop a theory of entanglement distillation that exploits a
convolutional coding structure. We provide a method for converting an arbitrary
classical binary or quaternary convolutional code into a convolutional
entanglement distillation protocol. The imported classical convolutional code
does not have to be dual-containing or self-orthogonal. The yield and
error-correcting properties of such a protocol depend respectively on the rate
and error-correcting properties of the imported classical convolutional code. A
convolutional entanglement distillation protocol has several other benefits.
Two parties sharing noisy ebits can distill noiseless ebits ``online'' as they
acquire more noisy ebits. Distillation yield is high and decoding complexity is
simple for a convolutional entanglement distillation protocol. Our theory of
convolutional entanglement distillation reduces the problem of finding a good
convolutional entanglement distillation protocol to the well-established
problem of finding a good classical convolutional code.


title: Memory Effect and Fast Spinodal Decomposition

abstract:
  We consider the modification of the Cahn-Hilliard equation when a time delay
process through a memory function is taken into account. We then study the
process of spinodal decomposition in fast phase transitions associated with a
conserved order parameter. The introduced memory effect plays an important role
to obtain a finite group velocity. Then, we discuss the constraint for the
parameters to satisfy causality. The memory effect is seen to affect the
dynamics of phase transition at short times and has the effect of delaying, in
a significant way, the process of rapid growth of the order parameter that
follows a quench into the spinodal region.


title:
Classical analogs for Rabi-oscillations, Ramsey-fringes, and spin-echo
  in Josephson junctions

abstract:
  We investigate the results of recently published experiments on the quantum
behavior of Josephson circuits in terms of the classical modelling based on the
resistively and capacitively-shunted (RCSJ) junction model. Our analysis shows
evidence for a close analogy between the nonlinear behavior of a pulsed
microwave-driven Josephson junction at low temperature and low dissipation and
the experimental observations reported for the Josephson circuits.
Specifically, we demonstrate that Rabi-oscillations, Ramsey-fringes, and
spin-echo observations are not phenomena with a unique quantum interpretation.
In fact, they are natural consequences of transients to phase-locking in
classical nonlinear dynamics and can be observed in a purely classical model of
a Josephson junction when the experimental recipe for the application of
microwaves is followed and the experimental detection scheme followed. We
therefore conclude that classical nonlinear dynamics can contribute to the
understanding of relevant experimental observations of Josephson response to
various microwave perturbations at very low temperature and low dissipation.


title:
Measurements of Partial Branching Fractions for Bbar --> X_u ell nubar
  and Determination of |V_{ub}|

abstract:
  We present partial branching fractions for inclusive charmless semileptonic B
decays Bbar --> X_u ell nubar, and the determination of the CKM matrix element
|V_{ub}|. The analysis is based on a sample of 383 million Y(4S) decays into B
Bbar pairs collected with the BaBar detector at the PEP-II e+ e- storage rings.
We select events using either the invariant mass M_X of the hadronic system,
the invariant mass squared, q^2, of the lepton and neutrino pair, the kinematic
variable P_+ or one of their combinations. We then determine partial branching
fractions in limited regions of phase space: Delta B = (1.18 +- 0.09_{stat.} +-
0.07_{syst.} +- 0.01_{theo.}) x 10^{-3} (M_X < 1.55 GeV/c^2), Delta B = (0.95
+- 0.10_{stat.} +- 0.08_{syst.} +- 0.01_{theo.}) x 10^{-3} (P_+ < 0.66 GeV/c),
and Delta B = (0.81 +- 0.08_{stat.} +- 0.07_{syst.} +- 0.02_{theo.}) x 10^{-3}
(M_X < 1.7 GeV/c^2, q^2 > 8 GeV^2/c^4). Corresponding values of |V_{ub}| are
extracted using several theoretical calculations.


title:
Testing the evolution of the DB white dwarf GD 358: First results of a
  new approach using asteroseismology

abstract:
  We present a new method that investigates the evolutionary history of the
pulsating DB white dwarf GD358 using asteroseismology. This is done considering
the internal C/O profile, which describes the relative abundances of carbon and
oxygen from the core of the star to its surface. Different evolutionary
channels lead to the generation of different C/O profiles, and these affect the
pulsation periods. We used C/O profiles associated with white dwarfs that
evolved through binary evolution channels where the progenitor experienced one
or two episodes of mass loss during one or two common envelope (CE) phases, and
two profiles from single star evolution. We computed models using these
different profiles and used a genetic algorithm (GA) to optimize the search in
the parameter space in order to find the best-fit to the observed pulsation
periods. We used three-parameter models, adjusting the stellar mass, the
effective temperature, and the helium mass of the external layer. Our results
suggest that binary evolution profiles may provide a better match to the
pulsation periods of GD 358. The best-fit to the observations is obtained using
a profile related to an evolutionary history where two episodes of mass loss
happen during two CE phases. The best-fit model has a mass close to the mean
mass for DB white dwarfs found in various works, and a temperature consistent
with UV spectra obtained with the IUE satellite.


title: About Goldbach strong conjecture

abstract:
  In this work we use the number classification in families of the form 6n+1,
and 6n+5 with n integer (Such families contain all odd prime numbers greater
than 3 and other compound numbers related with primes). We will use this kind
of classification in order to attempt an approach to Goldbach strong
conjecture. By means of a geometric method of binary bands of numbers we
conceive a new form of study of the stated problem.


title: Lattice QCD Calculation of the $\rho$ Meson Decay Width

abstract:
  We present a lattice QCD calculation of the $\rho$ meson decay width via the
$P$-wave scattering phase shift for the I=1 two-pion system. Our calculation
uses full QCD gauge configurations for $N_f=2$ flavors generated using a
renormalization group improved gauge action and an improved Wilson fermion
action on a $12^3\times24$ lattice at $m_\pi/m_\rho=0.41$ and the lattice
spacing $1/a=0.92 {\rm GeV}$. The phase shift calculated with the use of the
finite size formula for the two-pion system in the moving frame shows a
behavior consistent with the existence of a resonance at a mass close to the
vector meson mass obtained in spectroscopy. The decay width estimated from the
phase shift is consistent with the experiment, when the quark mass is scaled to
the realistic value.


title: D3/D7 holographic Gauge theory and Chemical potential

abstract:
  N=2 supersymmetric Yang-Mills theory with flavor hypermultiplets at finite
temperature and in the dS${}_4$ are studied for finite quark number density
($n_b$) by a dual supergravity background with non-trivial dilaton and axion.
The quarks and its number density $n_b$ are introduced by embedding a probe D7
brane. We find a critical value of the chemical potential at the limit of
$n_b=0$, and it coincides with the effective quark mass given in each theory
for $n_b=0$. At this point, a transition of the D7 embedding configurations
occurs between their two typical ones. The phase diagrams of this transition
are shown in the plane of chemical potential versus temperature and
cosmological constant for YM theory at finite temperature and in dS${}_4$
respectively. In this phase transition, the order parameter is considered as
$n_b$. % and the critical value of the chemical potential This result seems to
be reasonable since both theories are in the quark deconfinement phase.


title: First order approach and index theorems for discrete and metric graphs

abstract:
  The aim of the present paper is to introduce the notion of first order
(supersymmetric) Dirac operators on discrete and metric (``quantum'') graphs.
In order to cover all self-adjoint boundary conditions for the associated
metric graph Laplacian, we develop systematically a new type of discrete graph
operators acting on a decorated graph. The decoration at each vertex of
degree-d is given by a subspace of $\C^d$, generalising the fact that a
function on the standard vertex space has only a scalar value.
  We develop the notion of exterior derivative, differential forms, Dirac and
Laplace operators in the discrete and metric case, using a supersymmetric
framework. We calculate the (supersymmetric) index of the discrete Dirac
operator generalising the standard index formula involving the Euler
characteristic of a graph. Finally, we show that the corresponding index for
the metric Dirac operator agrees with the discrete one.


title: Super-bicharacter construction of quantum vertex algebras

abstract:
  We extend the bicharacter construction of quantum vertex algebras first
proposed by Borcherds to the case of super Hopf algebras. We give a bicharacter
description of the charged free fermion super vertex algebra, which allows us
to construct different quantizations of it in the sense of $H_D$-quantum vertex
algebras, or specializations to Etingof-Kazhdan quantum vertex algebras. We
give formulas for the analytic continuation of product of fields, the operator
product expansion and the normal ordered product in terms of the
super-bicharacters.


title: An elementary sieve

abstract:
  In this paper we review the properties of families of numbers of the form
$6n\pm1$, with $n$ integer (in which there are all prime numbers greater than 3
and other compound numbers with particular properties) to later use them in a
new sieve that allows the separation of numbers $n$ that generate primes from
those that only generate compounds. In principle, this can be used to find the
amount of prime numbers up to a given number $h$; this means, $\pi(h)$.


title: Real World Interpretations of Quantum Theory

abstract:
  I propose a new class of interpretations, {\it real world interpretations},
of the quantum theory of closed systems. These interpretations postulate a
preferred factorization of Hilbert space and preferred projective measurements
on one factor. They give a mathematical characterisation of the different
possible worlds arising in an evolving closed quantum system, in which each
possible world corresponds to a (generally mixed) evolving quantum state. In a
realistic model, the states corresponding to different worlds should be
expected to tend towards orthogonality as different possible quasiclassical
structures emerge or as measurement-like interactions produce different
classical outcomes. However, as the worlds have a precise mathematical
definition, real world interpretations need no definition of quasiclassicality,
measurement, or other concepts whose imprecision is problematic in other
interpretational approaches. It is natural to postulate that precisely one
world is chosen randomly, using the natural probability distribution, as the
world realised in Nature, and that this world's mathematical characterisation
is a complete description of reality.


title: Mean-field description of the nucleus-nucleus optical potential

abstract:
  A new finite-range representation of the JLM effective nucleon-nucleon
interaction is suggested based on the CDM3Y density dependent functional and
M3Y-Paris interaction. The density dependence has been carefully adjusted at
each energy so that the nucleon optical potential (OP) given by the new density
dependent interaction in the Hartree-Fock calculation of nuclear matter closely
matches the JLM nucleon OP given by the Brueckner-Hatree-Fock calculation. The
new interaction has been used in the double-folding model to calculate the OP
for the elastic $^{6}$Li,$^{6}$He,$^{12}$C + $^{12}$C scattering at different
energies.


title: Canonical Charmonium Interpretation for Y(4360) and Y(4660)

abstract:
  In this work, we consider the canonical charmonium assignments for Y(4360)
and Y(4660). Y(4660) is good candidate of $\rm 5 ^3S_1$ $c\bar{c}$ state, the
possibility of Y(4360) as a $\rm 3 ^3D_1$ $c\bar{c}$ state is studied, and the
charmonium hybrid interpretation of Y(4360) can not be excluded completely. We
evaluate the $e^{+}e^{-}$ leptonic widths, E1 transitions, M1 transitions and
the open flavor strong decays of Y(4360) and Y(4660). Experimental tests for
the charmonium assignments are suggested.


title:
A field theoretic approach to master equations and a variational method
  beyond the Poisson ansatz

abstract:
  We develop a variational scheme in a field theoretic approach to a stochastic
process. While various stochastic processes can be expressed using master
equations, in general it is difficult to solve the master equations exactly,
and it is also hard to solve the master equations numerically because of the
curse of dimensionality. The field theoretic approach has been used in order to
study such complicated master equations, and the variational scheme achieves
tremendous reduction in the dimensionality of master equations. For the
variational method, only the Poisson ansatz has been used, in which one
restricts the variational function to a Poisson distribution. Hence, one has
dealt with only restricted fluctuation effects. We develop the variational
method further, which enables us to treat an arbitrary variational function. It
is shown that the variational scheme developed gives a quantitatively good
approximation for master equations which describe a stochastic gene regulatory
network.


title: Orbits of particles in noncommutative Schwarzschild spacetime

abstract:
  By considering particles as smeared objects, we investigate the effects of
space noncommutativity on the orbits of particles in Schwarzschild spacetime.
The effects of space noncommutativity on the value of the precession of the
perihelion of particle orbit and deflection of light ray in Schwarzschild
geometry are calculated and the stability of circular orbits is discussed.


title: Three String Junction and N=4 Dyon Spectrum

abstract:
  The exact spectrum of dyons in a class of N=4 supersymmetric string theories
gives us information about dyon spectrum in N=4 supersymmetric gauge theories.
This in turn can be translated into prediction about the BPS spectrum of three
string junctions on a configuration of three parallel D3-branes. We show that
this prediction agrees with the known spectrum of three string junction in
different domains in the moduli space separated by walls of marginal stability.


title:
The Impact of a Percolating IGM on Redshifted 21 cm Observations of
  Quasar HII Regions

abstract:
  We assess the impact of inhomogeneous reionization on detection of HII
regions surrounding luminous high redshift quasars using planned low frequency
radio telescopes. Our approach is to implement a semi-numerical scheme to
calculate the 3-dimensional structure of ionized regions surrounding a massive
halo at high redshift, including the ionizing influence of a luminous quasar.
As part of our analysis we briefly contrast our scheme with published
semi-numerical models. We calculate mock 21cm spectra along the line of sight
towards high redshift quasars, and estimate the ability of the planned
Murchison Widefield Array to detect the presence of HII regions. The
signal-to-noise for detection will drop as the characteristic bubble size grows
during reionization because the quasar's influence becomes less prominent.
However, quasars will imprint a detectable signature on observed 21cm spectra
that is distinct from a region of typical IGM. At epochs where the mean
hydrogen neutral fraction is ~30% or greater we find that neutral gas in the
IGM surrounding a single quasar will be detectable (at a significance of 5
sigma) within 100 hour integrations in more than 50% of cases. 1000 hour
integrations will be required to detect a smaller neutral fraction of 15% in
more than 50% of cases. A highly significant detection will be possible in only
100 hours for a stack of 10 smaller 3 proper Mpc HII regions. The accurate
measurement of the global average neutral fraction (<x_HI>) will be limited by
systematic fluctuations between lines of sight for single HII regions. We
estimate the accuracy with which the global neutral fraction could be measured
from a single HII region to be 50%, 30% and 20% for <x_HI> ~ 0.15, 0.3 and 0.5
respectively.


title: Evidence For The Production Of Slow Antiprotonic Hydrogen In Vacuum

abstract:
  We present evidence showing how antiprotonic hydrogen, the quasistable
antiproton-proton (pbar-p) bound system, has been synthesized following the
interaction of antiprotons with the hydrogen molecular ion (H2+) in a nested
Penning trap environment. From a careful analysis of the spatial distributions
of antiproton annihilation events, evidence is presented for antiprotonic
hydrogen production with sub-eV kinetic energies in states around n=70, and
with low angular momenta. The slow antiprotonic hydrogen may be studied using
laser spectroscopic techniques.


title: Zero product preservers of C*-algebras

abstract:
  Let T be be a zero-product preserving bounded linear map between C*-algebras
A and B. Here neither A nor B is necessarily unital.
  In this note, we investigate when T gives rise to a Jordan homomorphism. In
particular, we show that A and B are isomorphic as Jordan algebras if T is
bijective and sends zero products of self-adjoint elements to zero products.
They are isomorphic as C*-algebras if T is bijective and preserves the full
zero product structure.


title:
Evolution of Star Clusters near the Galactic Center: Fully
  Self-consistent N-body Simulations

abstract:
  We have performed fully self-consistent $N$-body simulations of star clusters
near the Galactic center (GC). Such simulations have not been performed because
it is difficult to perform fast and accurate simulations of such systems using
conventional methods. We used the Bridge code, which integrates the parent
galaxy using the tree algorithm and the star cluster using the fourth-order
Hermite scheme with individual timestep. The interaction between the parent
galaxy and the star cluster is calculate with the tree algorithm. Therefore,
the Bridge code can handle both the orbital and internal evolutions of star
clusters correctly at the same time. We investigated the evolution of star
clusters using the Bridge code and compared the results with previous studies.
We found that 1) the inspiral timescale of the star clusters is shorter than
that obtained with "traditional" simulations, in which the orbital evolution of
star clusters is calculated analytically using the dynamical friction formula
and 2) the core collapse of the star cluster increases the core density and
help the cluster survive. The initial conditions of star clusters is not so
severe as previously suggested.


title: Dirac concentrations in Lotka-Volterra parabolic PDEs

abstract:
  We consider parabolic partial differential equations of Lotka-Volterra type,
with a non-local nonlinear term. This models, at the population level, the
darwinian evolution of a population; the Laplace term represents mutations and
the nonlinear birth/death term represents competition leading to selection.
Once rescaled with a small diffusion, we prove that the solutions converge to a
moving Dirac mass. The velocity and weights cannot be obtained by a simple
expression, e.g., an ordinary differential equation. We show that they are
given by a constrained Hamilton-Jacobi equation. This extends several earlier
results to the parabolic case and to general nonlinearities. Technical new
ingredients are a $BV$ estimate in time on the non-local nonlinearity, a
characterization of the concentration point (in a monomorphic situation) and,
surprisingly, some counter-examples showing that jumps on the Dirac locations
are indeed possible.


title: Verified Real Number Calculations: A Library for Interval Arithmetic

abstract:
  Real number calculations on elementary functions are remarkably difficult to
handle in mechanical proofs. In this paper, we show how these calculations can
be performed within a theorem prover or proof assistant in a convenient and
highly automated as well as interactive way. First, we formally establish upper
and lower bounds for elementary functions. Then, based on these bounds, we
develop a rational interval arithmetic where real number calculations take
place in an algebraic setting. In order to reduce the dependency effect of
interval arithmetic, we integrate two techniques: interval splitting and taylor
series expansions. This pragmatic approach has been developed, and formally
verified, in a theorem prover. The formal development also includes a set of
customizable strategies to automate proofs involving explicit calculations over
real numbers. Our ultimate goal is to provide guaranteed proofs of numerical
properties with minimal human theorem-prover interaction.


title: Formally Verified Argument Reduction with a Fused-Multiply-Add

abstract:
  Cody & Waite argument reduction technique works perfectly for reasonably
large arguments but as the input grows there are no bit left to approximate the
constant with enough accuracy. Under mild assumptions, we show that the result
computed with a fused-multiply-add provides a fully accurate result for many
possible values of the input with a constant almost accurate to the full
working precision. We also present an algorithm for a fully accurate second
reduction step to reach double full accuracy (all the significand bits of two
numbers are significant) even in the worst cases of argument reduction. Our
work recalls the common algorithms and presents proofs of correctness. All the
proofs are formally verified using the Coq automatic proof checker.


title: Parametric Stiffness Analysis of the Orthoglide

abstract:
  This paper presents a parametric stiffness analysis of the Orthoglide, a
3-DOF translational Parallel Kinematic Machine. First, a compliant modeling of
the Orthoglide is conducted based on an existing method. Then stiffness matrix
is symbolically computed. This allows one to easily study the influence of the
geometric design parameters on the matrix elements. Critical links are
displayed. Cutting forces are then modeled so that static displacements of the
Orthoglide tool during slot milling are symbolically computed. Influence of the
geometric design parameters on the static displacements is checked as well.
Other machining operations can be modeled. This parametric stiffness analysis
can be applied to any parallel manipulator for which stiffness is a critical
issue.


title:
Compton telescope with coded aperture mask: Imaging with the
  INTEGRAL/IBIS Compton mode

abstract:
  Compton telescopes provide a good sensitivity over a wide field of view in
the difficult energy range running from a few hundred keV to several MeV. Their
angular resolution is, however, poor and strongly energy dependent. We present
a novel experimental design associating a coded mask and a Compton detection
unit to overcome these pitfalls. It maintains the Compton performance while
improving the angular resolution by at least an order of magnitude in the field
of view subtended by the mask. This improvement is obtained only at the expense
of the efficiency that is reduced by a factor of two. In addition, the
background corrections benefit from the coded mask technique, i.e. a
simultaneous measurement of the source and background. This design is
implemented and tested using the IBIS telescope on board the INTEGRAL satellite
to construct images with a 12' resolution over a 29 degrees x 29 degrees field
of view in the energy range from 200 keV to a few MeV. The details of the
analysis method and the resulting telescope performance, particularly in terms
of sensitivity, are presented.


title:
Temperature Dependent Polarity Reversal in Au/Nb:SrTiO3 Schottky
  Junctions

abstract:
  We have observed temperature-dependent reversal of the rectifying polarity in
Au/Nb:SrTiO3 Schottky junctions. By simulating current-voltage characteristics
we have found that the permittivity of SrTiO3 near the interface exhibits
temperature dependence opposite to that observed in the bulk, significantly
reducing the barrier width. At low temperature, tunneling current dominates the
junction transport due both to such barrier narrowing and to suppressed thermal
excitations. The present results demonstrate that novel junction properties can
be induced by the interface permittivity.


title:
Nonadiabatic factor accompanying magnetic translation of a charged
  particle

abstract:
  The quantum adiabatic theorem incorporating the Berry phase phenomenon can be
characterized as a factorization of the time evolution operator into a
path-dependent geometric factor, a usual dynamical factor and a non-adiabatic
factor that approaches the identity in the adiabatic limit. We study a case
where all these three factors can be constructed explicitly and where the
instantaneous Hamiltonian has infinitely degenerate energy eigenstates
associated with magnetic translation symmetry. Significance of the
non-adiabatic factor in terms of transition probabilities is discussed.


title: Galois cohomology of completed link groups

abstract:
  In this paper we compute the Galois cohomology of the pro-p completion of
primitive link groups. Here, a primitive link group is the fundamental group of
a tame link in the 3-sphere whose linking number diagram is irreducible modulo
p (e.g. none of the linking numbers is divisible by p).
  The result is that (with Z/pZ-coefficients) the Galois cohomology is
naturally isomorphic to the Z/pZ-cohomology of the discrete link group.
  The main application of this result is that for such groups the Baum-Connes
conjecture or the Atiyah conjecture are true for every finite extension (or
even every elementary amenable extension), if they are true for the group
itself.


title:
Quasi-particle interference and superconducting gap in a
  high-temperature superconductor Ca2-xNaxCuO2Cl2

abstract:
  High-transition-temperature (high-Tc) superconductivity is ubiquitous in the
cuprates containing CuO2 planes but each cuprate has its own character. The
study of the material dependence of the d-wave superconducting gap (SG) should
provide important insights into the mechanism of high-Tc. However, because of
the 'pseudogap' phenomenon, it is often unclear whether the energy gaps
observed by spectroscopic techniques really represent the SG. Here, we report
spectroscopic imaging scanning tunneling microscopy (SI-STM) studies of
nearly-optimally-doped Ca2-xNaxCuO2Cl2 (Na-CCOC) with Tc = 25 ~ 28 K. They
enable us to observe the quasi-particle interference (QPI) effect in this
material, through which unambiguous new information on the SG is obtained. The
analysis of QPI in Na-CCOC reveals that the SG dispersion near the gap node is
almost identical to that of Bi2Sr2CaCu2Oy (Bi2212) at the same doping level,
while Tc of Bi2212 is 3 times higher than that of Na-CCOC. We also find that SG
in Na-CCOC is confined in narrower energy and momentum ranges than Bi2212. This
explains at least in part the remarkable material dependence of Tc


title: From Unruh temperature to generalized Bousso bound

abstract:
  In a classical spacetime satisfying Einstein's equation and the null
convergence condition, the same quantum mechanical effects that cause black
holes to have a temperature are found to imply, if joined to the macroscopic
nature of entropy, the covariant entropy bound in its generalized form. This is
obtained from thermodynamics, as applied across the local Rindler causal
horizon through every point p of the null hypersurfaces L the covariant entropy
bound refers to, in the direction of the null geodesics generating L.


title: Densities for Rough Differential Equations under Hoermander's Condition

abstract:
  We consider stochastic differential equations dY=V(Y)dX driven by a
multidimensional Gaussian process X in the rough path sense. Using Malliavin
Calculus we show that Y(t) admits a density for t in (0,T] provided (i) the
vector fields V=(V_1,...,V_d) satisfy Hoermander's condition and (ii) the
Gaussian driving signal X satisfies certain conditions. Examples of driving
signals include fractional Brownian motion with Hurst parameter H>1/4, the
Brownian Bridge returning to zero after time T and the Ornstein-Uhlenbeck
process.


title: Differences between charged-current coefficient functions

abstract:
  Second- and third-order results are presented for the structure functions of
charged-current deep-inelastic scattering in the framework of massless
perturbative QCD. We write down the two-loop differences between the
corresponding crossing-even and -odd coefficient functions, including those for
the longitudinal structure function not covered in the literature so far. At
three loops we compute the lowest five moments of these differences for all
three structure functions and provide approximate expressions in Bjorken-$x$
space. Also calculated is the related third-order coefficient-function
correction to the Gottfried sum rule. We confirm the conjectured suppression of
these quantities if the number of colours is large. Finally we derive the
second- and third-order QCD contributions to the Paschos-Wolfenstein ratio used
for the determination of the weak mixing angle from neutrino-nucleon
deep-inelastic scattering. These contributions are found to be small.


title: Evolution of the gaps through the cuprate phase-diagram

abstract:
  The actual physical origin of the gap at the antinodes, and a clear
identification of the superconducting gap are fundamental open issues in the
physics of high-$T_c$ superconductors. Here, we present a systematic electronic
Raman scattering study of a mercury-based single layer cuprate, as a function
of both doping level and temperature. On the deeply overdoped side, we show
that the antinodal gap is a true superconducting gap. In contrast, on the
underdoped side, our results reveal the existence of a break point close to
optimal doping below which the antinodal gap is gradually disconnected from
superconductivity. The nature of both the superconducting and normal state is
distinctly different on each side of this breakpoint.


title: Luminosity function, sizes and FR dichotomy of radio-loud AGN

abstract:
  The radio luminosity function (RLF) of radio galaxies and radio-loud quasars
is often modelled as a broken power-law. The break luminosity is close to the
dividing line between the two Fanaroff-Riley (FR) morphological classes for the
large-scale radio structure of these objects. We use an analytical model for
the luminosity and size evolution of FRII-type objects together with a simple
prescription for FRI-type sources to construct the RLF. We postulate that all
sources start out with an FRII-type morphology. Weaker jets subsequently
disrupt within the quasi-constant density cores of their host galaxies and
develop turbulent lobes of type FRI. With this model we recover the slopes of
the power laws and the break luminosity of the RLF determined from
observations. The rate at which AGN with jets of jet power $Q$ appear in the
universe is found to be proportional to $Q^{-1.6}$. The model also roughly
predicts the distribution of the radio lobe sizes for FRII-type objects, if the
radio luminosity of the turbulent jets drops significantly at the point of
disruption. We show that our model is consistent with recent ideas of two
distinct accretion modes in jet-producing AGN, if radiative efficiency of the
accretion process is correlated with jet power.


title: Searching for a dangerous host: randomized vs. deterministic

abstract:
  A Black Hole is an harmful host in a network that destroys incoming agents
without leaving any trace of such event. The problem of locating the black hole
in a network through a team of agent coordinated by a common protocol is
usually referred in literature as the Black Hole Search problem (or BHS for
brevity) and it is a consolidated research topic in the area of distributed
algorithms. The aim of this paper is to extend the results for BHS by
considering more general (and hence harder) classes of dangerous host. In
particular we introduce rB-hole as a probabilistic generalization of the Black
Hole, in which the destruction of an incoming agent is a purely random event
happening with some fixed probability (like flipping a biased coin). The main
result we present is that if we tolerate an arbitrarily small error probability
in the result then the rB-hole Search problem, or RBS, is not harder than the
usual BHS. We establish this result in two different communication model,
specifically both in presence or absence of whiteboards non-located at the
homebase. The core of our methods is a general reduction tool for transforming
algorithms for the black hole into algorithms for the rB-hole.


title: Pattern formation in the damped Nikolaevskiy equation

abstract:
  The Nikolaevskiy equation has been proposed as a model for seismic waves,
electroconvection and weak turbulence; we show that it can also be used to
model transverse instabilities of fronts. This equation possesses a large-scale
"Goldstone" mode that significantly influences the stability of spatially
periodic steady solutions; indeed, all such solutions are unstable at onset,
and the equation exhibits so-called soft-mode turbulence. In many applications,
a weak damping of this neutral mode will be present, and we study the influence
of this damping on solutions to the Nikolaevskiy equation. We examine the
transition to the usual Eckhaus instability as the damping of the large-scale
mode is increased, through numerical calculation and weakly nonlinear analysis.
The latter is accomplished using asymptotically consistent systems of coupled
amplitude equations. We find that there is a critical value of the damping
below which (for a given value of the supercriticality parameter) all periodic
steady states are unstable. The last solutions to lose stability lie in a cusp
close to the left-hand side of the marginal stability curve.


title:
A convergent finite difference method for a nonlinear variational wave
  equation

abstract:
  We establish rigorously convergence of a semi-discrete upwind scheme for the
nonlinear variational wave equation $u_{tt} - c(u)(c(u) u_x)_x = 0$ with
$u|_{t=0}=u_0$ and $u_t|_{t=0}=v_0$. Introducing Riemann invariants $R=u_t+c
u_x$ and $S=u_t-c u_x$, the variational wave equation is equivalent to $R_t-c
R_x=\tilde c (R^2-S^2)$ and $S_t+c S_x=-\tilde c (R^2-S^2)$ with $\tilde
c=c'/(4c)$. An upwind scheme is defined for this system. We assume that the the
speed $c$ is positive, increasing and both $c$ and its derivative are bounded
away from zero and that $R|_{t=0}, S|_{t=0}\in L^1\cap L^3$ are nonpositive.
The numerical scheme is illustrated on several examples.


title:
Joint deprojection of Sunyaev-Zeldovich and X-ray images of galaxy
  clusters

abstract:
  We present two non-parametric deprojection methods aimed at recovering the
three-dimensional density and temperature profiles of galaxy clusters from
spatially resolved thermal Sunyaev-Zeldovich (tSZ) and X-ray surface brightness
maps, thus avoiding the use of X-ray spectroscopic data. In both methods,
clusters are assumed to be spherically symmetric and modeled with an onion-skin
structure. The first method follows a direct geometrical approach. The second
method is based on the maximization of a single joint (tSZ and X-ray)
likelihood function, which allows one to fit simultaneously the two signals by
following a Monte Carlo Markov Chain approach. These techniques are tested
against a set of cosmological simulations of clusters, with and without
instrumental noise. We project each cluster along the three orthogonal
directions defined by the principal axes of the momentum of inertia tensor.
This enables us to check any bias in the deprojection associated to the cluster
elongation along the line of sight. After averaging over all the three
projection directions, we find an overall good reconstruction, with a small
(<~10 per cent) overestimate of the gas density profile. This turns into a
comparable overestimate of the gas mass within the virial radius, which we
ascribe to the presence of residual gas clumping. Apart from this small bias
the reconstruction has an intrinsic scatter of about 5 per cent, which is
dominated by gas clumpiness. Cluster elongation along the line of sight biases
the deprojected temperature profile upwards at r<~0.2r_vir and downwards at
larger radii. A comparable bias is also found in the deprojected temperature
profile. Overall, this turns into a systematic underestimate of the gas mass,
up to 10 percent. (Abridged)


title:
Killing superalgebra deformations of ten-dimensional supergravity
  backgrounds

abstract:
  We explore Lie superalgebra deformations of the Killing superalgebras of some
ten-dimensional supergravity backgrounds. We prove the rigidity of the Poincare
superalgebras in types I, IIA and IIB, as well as of the Killing superalgebra
of the Freund-Rubin vacuum of type IIB supergravity. We also prove rigidity of
the Killing superalgebras of the NS5, D0, D3, D4 and D5 branes, whereas we
exhibit the possible deformations of the D1, D2, D6 and D7 brane Killing
superalgebras, as well as of that of the type II fundamental string solutions.
We relate the superalgebra deformations of the D2 and D6 branes to those of the
(delocalised) M2 brane and the Kaluza-Klein monopole, respectively. The good
behaviour under Kaluza-Klein reduction suggests that the deformed superalgebras
ought to have a geometric interpretation.


title:
Exact Statistical Mechanical Investigation of a Finite Model Protein in
  its environment: A Small System Paradigm

abstract:
  We consider a general incompressible finite model protein of size M in its
environment, which we represent by a semiflexible copolymer consisting of amino
acid residues classified into only two species (H and P, see text) following
Lau and Dill. We allow various interactions between chemically unbonded
residues in a given sequence and the solvent (water), and exactly enumerate the
number of conformations W(E) as a function of the energy E on an infinite
lattice under two different conditions: (i) we allow conformations that are
restricted to be compact (known as Hamilton walk conformations), and (ii) we
allow unrestricted conformations that can also be non-compact. It is easily
demonstrated using plausible arguments that our model does not possess any
energy gap even though it is supposed to exhibit a sharp folding transition in
the thermodynamic limit. The enumeration allows us to investigate exactly the
effects of energetics on the native state(s), and the effect of small size on
protein thermodynamics and, in particular, on the differences between the
microcanonical and canonical ensembles. We find that the canonical entropy is
much larger than the microcanonical entropy for finite systems. We investigate
the property of self-averaging and conclude that small proteins do not
self-average. We also present results that (i) provide some understanding of
the energy landscape, and (ii) shed light on the free energy landscape at
different temperatures.


title:
Plate-forme Magicien d'Oz pour l'\'etude de l'apport des ACAs \`a
  l'interaction

abstract:
  In order to evaluate the contribution of Embodied (Animated) Conversational
Agents (ECAs) to the effectiveness and usability of human-computer interaction,
we developed a software platform meant to collect usage data. This platform,
which implements the wizard of Oz paradigm, makes it possible to simulate user
interfaces integrating ACAs for any Windows software application. It can also
save and "replay" a rich interaction trace including user and system events,
screen captures, users' speech and eye fixations. This platform has been used
to assess users' subjective judgements and reactions to a multimodal online
help system meant to facilitate the use of software for the general public
(Flash). The online help system is embodied using a 3D talking head (developed
by FT R&D) which "says" oral help messages illustrated with Flash screen
copies.


title: The correct relatively stable category for idempotent modules

abstract:
  We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate
that in general Rickard modules in relatively stable categories are not
idempotent modules even if one localizes with respect to a tensor ideal
subcategory. We also show that there is a modification one can make so as to
recover the idempotent behaviour.


title: Interfaces adaptatives Adaptation dynamique \`a l'utilisateur courant

abstract:
  We present a survey of recent research studies of the implementation of
adaptive user models in human-computer interaction. A classification of
research directions on adaptive user interfaces is first proposed; it takes
account of the user characteristics that are modelled, the distribution of
initiative and control of the system evolution between user and system, and the
role of dynamic adaptation. Then, a few representative research studies are
briefly presented to illustrate this classification. In the conclusion, some
major issues regarding the utility and usability of adaptive user interfaces
and the design of an appropriate methodology for assessing the ergonomic
quality of this new form of interaction are mentioned.


title: The Universe expansion and Energy problems

abstract:
  In this paper we construct a physical modelization of the universe expansion.
The universe then reduces to a Riemannian space $0.2cm$ $(B(O,R(t)),g_t)$,
where $R(t) \sim t$ for $t \gg $0, and $g_t$ is a time - dependent Riemannian
metric which reflects and characterizes the dynamical matter - energy
distribution $E_t(X)$ on $B(O,R(t))$ according to the Mach - Einstein
principle. Our model allows us to resolve several major problems of Physics. It
is consistent in the sense that all Newtonian and classical physical laws are
valid as particular cases in classical situations. Moreover, our model permits
to recover some confirmed principles and postulates such as the famous
Einstein's relationship $ E = mc^2$ and to specify some approximate results of
modern Physics. After showing, rigorously, the deficiency of the second part of
the special relativity second postulate and after specifying the role of the
wave quantum Mechanics and the quantum Statistics, we adapt the Einstein's
general relativity theory and the (Einstein - de Sitter - Friedmann)
homogeneous isotropic cosmology to our setting. This readaptation allows us to
determine the age, the size and the total energy of our universe and to prove
that only the total energy E, the electromagnetic constant $ke^2$ and the speed
of light c are time - independent universal constants. The other fundamental
constants of Physics (such as G,$\bar{h}$, $K_B 0.05cm T$, $\alpha$...) are
indeed time - dependent and naturally related to the previous ones.
Consequently, we realize the unification of all Physics' domains The expanding
universe is so reduced to four basic elements (E, c, $ke^2$, t) and dynamically
described by a (reviewed) general relativity theory.


title: The Aharonov-Casher effect

abstract:
  The Aharonov-Casher effect, entry in the Compendium of Quantum Physics:
Concepts, Experiments, History and Philosophy, ed. F. Weinert, K. Hentschel, D.
Greenberger and B. Falkenburg (Springer), to appear


title: Spectral Mapping Reconstruction of Extended Sources

abstract:
  Three dimensional spectroscopy of extended sources is typically performed
with dedicated integral field spectrographs. We describe a method of
reconstructing full spectral cubes, with two spatial and one spectral
dimension, from rastered spectral mapping observations employing a single slit
in a traditional slit spectrograph. When the background and image
characteristics are stable, as is often achieved in space, the use of
traditional long slits for integral field spectroscopy can substantially reduce
instrument complexity over dedicated integral field designs, without loss of
mapping efficiency -- particularly compelling when a long slit mode for single
unresolved source followup is separately required. We detail a custom
flux-conserving cube reconstruction algorithm, discuss issues of extended
source flux calibration, and describe CUBISM, a tool which implements these
methods for spectral maps obtained with ther Spitzer Space Telescope's Infrared
Spectrograph.


title: Energy-dependent tunnelling from few-electron dynamic quantum dots

abstract:
  We measure the electron escape-rate from surface-acoustic-wave dynamic
quantum dots (QDs) through a tunnel barrier. Rate-equations are used to extract
the tunnelling rates, which change by an order of magnitude with tunnel-barrier
gate voltage. We find that the tunnelling rates depend on the number of
electrons in each dynamic QD because of Coulomb energy. By comparing this
dependence to a saddle-point-potential model, the addition energies of the
second and third electron in each dynamic QD are estimated. The scale (a few
meV) is comparable to those in static QDs as expected.


title: Special correspondences and Chow traces of Landweber-Novikov operations

abstract:
  We prove that the function field of a variety which possesses a special
correspondence in the sense of M. Rost preserves the rationality of cycles of
small codimensions. This fact was proven by Vishik in the case of quadrics and
played the crucial role in his construction of fields with $u$-invariant
$2^r+1$. The main technical tools are algebraic cobordism of Levine-Morel,
generalized Rost degree formula and divisibility of Chow traces of certain
Landweber-Novikov operations. As a direct application of our methods we prove
the Vishik's Theorem for all $F_4$-varieties.


title:
Unveiling the nature and interaction of the intermediate/high-mass YSOs
  in IRAS 20343+4129

abstract:
  In order to elucidate the nature of the brightest infrared sources associated
with IRAS 20343+4129, IRS1 and IRS3, we observed with the Submillimeter Array
(SMA) the 1.3 mm continuum and CO(2-1) emission of the region. Faint millimeter
dust continuum emission was detected toward IRS1, and we derived an associated
gas mass of ~0.8 Msun. The IRS1 spectral energy distribution agrees with IRS1
being an intermediate-mass Class I source of about 1000 Lsun, whose
circumstellar material is producing the observed large infrared excess. We have
discovered a high-velocity CO bipolar outflow in the east-west direction, which
is clearly associated with IRS1, and the outflow parameters are similar to
those of intermediate-mass young stellar objects. Associated with the blue
large scale CO outflow lobe, detected with single-dish observations, we only
found two elongated low-velocity structures on either side of IRS3. The
large-scale outflow lobe is almost completely resolved out by the SMA. Our
detected low-velocity CO structures are coincident with elongated H2 emission
features. The strongest millimeter continuum condensations in the region are
found on either side of IRS3, where the infrared emission is extremely weak,
and the CO and H2 elongated structures follow the border of the millimeter
continuum emission that is facing IRS3. All these results suggest that the dust
is associated with the walls of an expanding cavity driven by IRS3, estimated
to be a B2 star. Within and beyond the expanding cavity, the millimeter
continuum sources can be sites of future low-mass star formation.


title: Berry's phase

abstract:
  Berry's phase, entry in the Compendium of Quantum Physics: Concepts,
Experiments, History and Philosophy, ed. F. Weinert, K. Hentschel, D.
Greenberger and B. Falkenburg (Springer), to appear


title:
Entanglement and correlation functions following a local quench: a
  conformal field theory approach

abstract:
  We show that the dynamics resulting from preparing a one-dimensional quantum
system in the ground state of two decoupled parts, then joined together and
left to evolve unitarily with a translational invariant Hamiltonian (a local
quench), can be described by means of quantum field theory. In the case when
the corresponding theory is conformal, we study the evolution of the
entanglement entropy for different bi-partitions of the line. We also consider
the behavior of one- and two-point correlation functions. All our findings may
be explained in terms of a picture, that we believe to be valid more generally,
whereby quasiparticles emitted from the joining point at the initial time
propagate semiclassically through the system.

categories: cond-mat.stat-mech cond-mat.str-el hep-th quant-ph


abstract:
  Errors and paradoxes in quantum mechanics, entry in the Compendium of Quantum
Physics: Concepts, Experiments, History and Philosophy, ed. F. Weinert, K.
Hentschel, D. Greenberger and B. Falkenburg (Springer), to appear


title: Contribution in combinatorics in commutative algebra.(ph-d thesis)

abstract:
  In the first chapter we present new results related on monomial ideals of
Borel type. Also, we introduce a new class of monomial ideals, called
$\de$-fixed ideals, which generalize the class of $p$-Borel ideals and we
extend several results to this new class.
  In the second chapter, we compute the generic initial ideal, with repect to
the reverse lexicographic order, of an ideal which define a complete
intersection of embedding dimension three with strong Lefschetz property and we
show that it is an almost reverse lexicographic ideal. This enable us to give a
proof for Moreno's conjecture in the case $n=3$ and characteristic zero. Also,
we prove that the $d$-component of the generic initial ideal, with respect to
the reverse lexicographic order, of an ideal generated by a regular sequence of
homogeneous polynomials of degree $d$ is revlex, in a particular, but
important, case.


title:
Transient growth and coupling of vortex and wave modes in
  self-gravitating gaseous discs

abstract:
  Flow nonnormality induced linear transient phenomena in thin self-gravitating
astrophysical discs are studied in the shearing sheet approximation. The
considered system includes two modes of perturbations: vortex and (spiral
density) wave. It is shown that self-gravity considerably alters the vortex
mode dynamics -- its transient (swing) growth may be several orders of
magnitude stronger than in the non-self-gravitating case and 2-3 times larger
than the transient growth of the wave mode. Based on this finding, we comment
on the role of vortex mode perturbations in a gravitoturbulent state. Also
described is the linear coupling of the perturbation modes, caused by the
differential character of disc rotation. The coupling is asymmetric -- vortex
mode perturbations are able to excite wave mode ones, but not vice versa. This
asymmetric coupling lends additional significance to the vortex mode as a
participant in spiral density waves and shocks manifestations in astrophysical
discs.


title:
Convergence in the no-core shell model with low-momentum two-nucleon
  interactions

abstract:
  The convergence of no-core shell model (NCSM) calculations using
renormalization group evolved low-momentum two-nucleon interactions is studied
for light nuclei up to Li-7. Because no additional transformation was used in
applying the NCSM framework, the energy calculations satisfy the variational
principle for a given Hamiltonian. Dramatic improvements in convergence are
found as the cutoffs are lowered. The renormalization group equations are
truncated at two-body interactions, so the evolution is only approximately
unitary and converged energies for A > 2 vary with the cutoff. This
approximation is systematic, however, and for useful cutoff ranges the energy
variation is comparable to natural-size truncation errors inherent from the
initial chiral effective field theory potential.


title: On derived equivalence classification of gentle two-cycle algebras

abstract:
  We classify, up to derived (equivalently, tilting-cotilting) equivalence all
nondegenerate gentle two-cycle algebras. We also give a partial classification
and formulate a conjecture in the degenerate case.


title:
Discussion of "Second order topological sensitivity analysis" by J.
  Rocha de Faria et al

abstract:
  The article by J. Rocha de Faria et al. under discussion is concerned with
the evaluation of the perturbation undergone by the potential energy of a
domain $\Omega$ (in a 2-D, scalar Laplace equation setting) when a disk
$B_{\epsilon}$ of small radius $\epsilon$ centered at a given location
$\hat{\boldsymbol{x}\in\Omega$ is removed from $\Omega$, assuming either
Neumann or Dirichlet conditions on the boundary of the small `hole' thus
created. In each case, the potential energy $\psi(\Omega_{\epsilon})$ of the
punctured domain $\Omega_{\epsilon}=\Omega\setminus\B_{\epsilon}$ is expanded
about $\epsilon=0$ so that the first two terms of the perturbation are given.
The first (leading) term is the well-documented topological derivative of
$\psi$. The article under discussion places, logically, its main focus on the
next term of the expansion. However, it contains incorrrect results, as shown
in this discussion. In what follows, equations referenced with Arabic numbers
refer to those of the article under discussion.


title: Interacting Convection Zones

abstract:
  We present results from simulations to examine how the separation between two
convectively unstable layers affect their interaction. We show that two
convectively unstable layers remain connected via the overshooting plumes even
when they are separated by several pressure scale heights.