title: More on the bending of light !

abstract:
  Recently, Rindler and Ishak have argued that the bending of light is, in
principle, changed by the presence of a cosmological constant since one must
consider not only the null geodesic equation, but also the process of
measurement. I agree with the fact that both must be considered. Here, on the
basis of the mathematically exact solution to the classical bending problem,
and independent of the cosmological constant, I clarify the approximate
argument found in the vast majority of texts (new and old) for the measured
value of the bending of light for a single source and show that the result is
in part due to the almost perfect cancelation of two terms, one of which is
seldom considered. When one considers two sources, this cancelation is of no
consequence, and, for example, if the sources are opposite with the same
associated apsidal distance, the approximate argument gives the rigorously
correct answer (up to numerical evaluation), an answer which is unaffected by
the presence of a cosmological constant.


title: Colimits of representable algebra-valued functors

abstract:
  If C and D are varieties of algebras in the sense of general algebra, then by
a representable functor C --> D we understand a functor which, when composed
with the forgetful functor D --> Set, gives a representable functor in the
classical sense; Freyd showed that these functors are determined by D-coalgebra
objects of C. Let Rep(C,D) denote the category of all such functors, a full
subcategory of Cat(C,D), opposite to the category of D-coalgebras in C.
  It is proved that Rep(C,D) has small colimits, and in certain situations,
explicit constructions for the representing coalgebras are obtained.
  In particular, Rep(C,D) always has an initial object. This is shown to be
"trivial" unless C and D either both have_no_ zeroary operations, or both have
_more_than_one_ derived zeroary operation. In those two cases, the functors in
question may have surprisingly opulent structures.
  It is also shown that every set-valued representable functor on C admits a
universal morphism to a D-valued representable functor.
  Several examples are worked out in detail, and areas for further
investigation noted.


title:
Phenomenological analysis of nucleon strangeness and meson-nucleon sigma
  terms

abstract:
  We calculate the nucleon strangeness $y_N$ in the chiral quark model and the
meson cloud model. With the internal relation between the sigma term of
$\pi$$N$ ($\sigma_{\pi N}$) and $y_N$, we present the results of $\sigma_{\pi
N}$ in these two models. Our calculations show that $y_N$ from the chiral quark
model is significant larger than that from the meson cloud model, whereas the
difference of $\sigma_{\pi N}$ between the two models is relatively small. We
also present the results of $\sigma_{K N}$ and $\sigma_{\eta N}$, which could
be determined by $\sigma_{\pi N}$ and $y_N$ from their definition in the
current algebra, and find that these two physical parameters are quite
sensitive to $y_N$. The results indicate the necessity to restrict the
parameters of the two models from more precision measurements.


title: Failure of Wiener's property for positive definite periodic functions

abstract:
  We say that Wiener's property holds for the exponent $p>0$ if we have that
whenever a positive definite function $f$ belongs to $L^p(-\epsilon,\epsilon)$
for some $\epsilon>0$, then $f$ necessarily belongs to $L^p(\TT)$, too. This
holds true for $p\in 2\NN$ by a classical result of Wiener. Recently various
concentration results were proved for idempotents and positive definite
functions on measurable sets on the torus. These new results enable us to prove
a sharp version of the failure of Wiener's property for $p\notin 2\NN$. Thus we
obtain strong extensions of results of Wainger and Shapiro, who proved the
negative answer to Wiener's problem for $p\notin 2\NN$.


title: Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State

abstract:
  A recent conjecture regarding the average of the minimum eigenvalue of the
reduced density matrix of a random complex state is proved. In fact, the full
distribution of the minimum eigenvalue is derived exactly for both the cases of
a random real and a random complex state. Our results are relevant to the
entanglement properties of eigenvectors of the orthogonal and unitary ensembles
of random matrix theory and quantum chaotic systems. They also provide a rare
exactly solvable case for the distribution of the minimum of a set of N {\em
strongly correlated} random variables for all values of N (and not just for
large N).

categories: cond-mat.stat-mech math-ph math.MP quant-ph


title: Perturbations and moduli space dynamics of tachyon kinks

abstract:
  The dynamic process of unstable D-branes decaying into stable ones with one
dimension lower can be described by a tachyon field with a Dirac-Born-Infeld
effective action. In this paper we investigate the fluctuation modes of the
tachyon field around a two-parameter family of static solutions representing an
array of brane-antibrane pairs. Besides a pair of zero modes associated with
the parameters of the solution, and instabilities associated with annihilation
of the brane-antibrane pairs, we find states corresponding to excitations of
the tachyon field around the brane and in the bulk. In the limit that the brane
thickness tends to zero, the support of the eigenmodes is limited to the brane,
consistent with the idea that propagating tachyon modes drop out of the
spectrum as the tachyon field approaches its ground state. Low-lying excited
states, including the zero modes, appear to show a 4-fold degeneracy in this
limit. Finally, we also discuss the slow motion of the solution corresponding
to the decay process in the moduli space, finding a trajectory which oscillates
periodically between the unstable D-brane and the brane-antibrane pairs of one
dimension lower.


title: Restrictions of continuous functions

abstract:
  Given a continuous real-valued function on [0, 1], and a closed subset E
\subset [0, 1] we denote by f E the restriction of f to E, that is, the
function defined only on E that takes the same values as f at every point of E
>. The restriction f E will typically be "better behaved" than f . It may have
bounded variation when f doesn't, it may have a better modulus of continuity
than f, it may be monotone when f is not, etc. All this clearly depends on f
and on E, and the questions that we discuss here are about the existence, for
every f, or every f in some class, of "substantial" sets E such that f E has
bounded total variation, is monotone, or satisfies a given modulus of
continuity. The notion of "substantial" that we use is that of either Hausdorff
or Minkowski dimensions.


title: The strength of the Inner Model Hypothesis

abstract:
  The Inner Model Hypothesis (IMH) and the Strong Inner Model Hypothesis (SIMH)
were introduced by the first author in ``Internal consistency and the inner
model hypothesis'', Bulletin of Symbolic Logic, December 2006.
  In this article we establish some upper and lower bounds for their
consistency strength.


title: Kinetic Theory of Plasmas: Translational Energy

abstract:
  In the present contribution, we derive from kinetic theory a unified fluid
model for multicomponent plasmas by accounting for the electromagnetic field
influence. We deal with a possible thermal nonequilibrium of the translational
energy of the particles, neglecting their internal energy and the reactive
collisions. Given the strong disparity of mass between the electrons and heavy
particles, such as molecules, atoms, and ions, we conduct a dimensional
analysis of the Boltzmann equation. We then generalize the Chapman-Enskog
method, emphasizing the role of a multiscale perturbation parameter on the
collisional operator, the streaming operator, and the collisional invariants of
the Boltzmann equation. The system is examined at successive orders of
approximation, each of which corresponding to a physical time scale. The
multicomponent Navier-Stokes regime is reached for the heavy particles, which
follow a hyperbolic scaling, and is coupled to first order drift-diffusion
equations for the electrons, which follow a parabolic scaling. The transport
coefficients exhibit an anisotropic behavior when the magnetic field is strong
enough. We also give a complete description of the Kolesnikov effect, i.e., the
crossed contributions to the mass and energy transport fluxes coupling the
electrons and heavy particles. Finally, the first and second principles of
thermodynamics are proved to be satisfied by deriving a total energy equation
and an entropy equation. Moreover, the system of equations is shown to be
conservative and the purely convective system hyperbolic, thus leading to a
well-defined structure.


title: First-passage times in complex scale-invariant media

abstract:
  How long does it take a random walker to reach a given target point? This
quantity, known as a first passage time (FPT), has led to a growing number of
theoretical investigations over the last decade1. The importance of FPTs
originates from the crucial role played by first encounter properties in
various real situations, including transport in disordered media, neuron firing
dynamics, spreading of diseases or target search processes. Most methods to
determine the FPT properties in confining domains have been limited to
effective 1D geometries, or for space dimensions larger than one only to
homogeneous media1. Here we propose a general theory which allows one to
accurately evaluate the mean FPT (MFPT) in complex media. Remarkably, this
analytical approach provides a universal scaling dependence of the MFPT on both
the volume of the confining domain and the source-target distance. This
analysis is applicable to a broad range of stochastic processes characterized
by length scale invariant properties. Our theoretical predictions are confirmed
by numerical simulations for several emblematic models of disordered media,
fractals, anomalous diffusion and scale free networks.


title: Ciao? Adios!

abstract:
  At the "New Horizons in Globular Cluster Astronomy" conference (Padova, June
2002), two members of the VLT globular cluster team presented different views
on the importance of heavy-element sedimentation in Population II stars: "The
lack of evidence for depletion of Fe and Li in the atmospheres of globular
cluster subgiants led some people to suspect that, for unknown reasons,
Population II stars are not affected by this mechanism." (Castellani 2003) and
"There should be some mechanism that prevents sedimentation." (Gratton 2003).
  In this review, I will argue that the scepticism behind both these statements
is justified. We recently revisited the results on sedimentation in NGC 6397
stars presented by Gratton et al. (2001) using higher-quality VLT/FLAMES-UVES
data (Korn et al. 2006, 2007). Element-specific abundance trends were
identified which agree with atomic-diffusion predictions, if turbulent mixing
below the convective envelope is accounted for in a parametrized way. Have we
thus detected signatures of Atomic Diffusion in Old Stars (ADiOS)? Or are these
trends mere artefacts of Conspiring Inaccuracies in Abundance Observations
(CIAO)?


title:
The Arecibo Galaxy Environment Survey: II. A HI view of the Abell
  cluster 1367 and its outskirts

abstract:
  We present 21 cm HI line observations of 5x1 square degrees centered on the
local Abell cluster 1367 obtained as part of the Arecibo Galaxy Environment
Survey. One hundred sources are detected (79 new HI measurements and 50 new
redshifts), more than half belonging to the cluster core and its infalling
region. Combining the HI data with SDSS optical imaging we show that our HI
selected sample follows scaling relations similar to the ones usually observed
in optically selected samples. Interestingly all galaxies in our sample appear
to have nearly the same baryon fraction independently of their size, surface
brightness and luminosity. The most striking difference between HI and
optically selected samples resides in their large scale distribution: whereas
optical and X-ray observations trace the cluster core very well, in HI there is
almost no evidence of the presence of the cluster. Some implications on the
determination of the cluster luminosity function and HI distribution for
samples selected at different wavelength are also discussed.


title: NIBLES: an HI census of local SDSS galaxies

abstract:
  NIBLES is a Key Project proposed for the 100m-class Nancay Radio Telescope
(NRT) in France. Its aim is a census of the HI gas content and dynamics of
4,000 Sloan Digital Sky Survey galaxies in the Local Volume (900<cz<12,000
km/s). The galaxies were selected based on their total stellar mass (absolute
z-band magnitude Mz), and are distributed evenly over the entire range of Mz
covered by local SDSS galaxies (-10 to -24 mag, for H0=70 km/s/Mpc). A pilot
survey is being made of over 600 galaxies. NIBLES will be complementary to the
ALFALFA and EBHIS blind HI surveys, which will detect a different ensemble of
local galaxies, and which our pilot survey results indicate will detect about
40-45% of the NIBLES sample. NIBLES is an open collaboration and anyone
interested in the science and willing to contribute to the project is welcome
to join the score of NIBLErS.


title:
Phenomenology of $\Lambda$-CDM model: a possibility of accelerating
  Universe with positive pressure

abstract:
  Among various phenomenological $\Lambda$ models, a time-dependent model $\dot
\Lambda\sim H^3$ is selected here to investigate the $\Lambda$-CDM cosmology.
Using this model the expressions for the time-dependent equation of state
parameter $\omega$ and other physical parameters are derived. It is shown that
in $H^3$ model accelerated expansion of the Universe takes place at negative
energy density, but with a positive pressure. It has also been possible to
obtain the change of sign of the deceleration parameter $q$ during cosmic
evolution.


title: Finitely generated groups with polynomial index growth

abstract:
  We prove that a finitely generated soluble residually finite group has
polynomial index growth if and only if it is a minimax group. We also show that
if a finitely generated group with PIG is residually finite-soluble then it is
a linear group.
  These results apply in particular to boundedly generated groups; they imply
that every infinite BG residually finite group has an infinite linear quotient.


title:
Statistical correlations in an ideal gas of particles obeying fractional
  exclusion statistics

abstract:
  After a brief discussion of the concepts of fractional exchange and
fractional exclusion statistics, we report partly analytical and partly
numerical results on thermodynamic properties of assemblies of particles
obeying fractional exclusion statistics. The effect of dimensionality is one
focal point, the ratio mu/kB T of chemical potential to thermal energy being
obtained numerically as a function of a scaled particle density. Pair
correlation functions are also presented as a function of the statistical
parameter, with `Friedel' oscillations developing close to the fermion limit,
for sufficiently large density.


title:
Efficient feedback controllers for continuous-time quantum error
  correction

abstract:
  We present an efficient approach to continuous-time quantum error correction
that extends the low-dimensional quantum filtering methodology developed by van
Handel and Mabuchi [quant-ph/0511221 (2005)] to include error recovery
operations in the form of real-time quantum feedback. We expect this paradigm
to be useful for systems in which error recovery operations cannot be applied
instantaneously. While we could not find an exact low-dimensional filter that
combined both continuous syndrome measurement and a feedback Hamiltonian
appropriate for error recovery, we developed an approximate reduced-dimensional
model to do so. Simulations of the five-qubit code subjected to the symmetric
depolarizing channel suggests that error correction based on our approximate
filter performs essentially identically to correction based on an exact quantum
dynamical model.


title: Nonparametric Regression, Confidence Regions and Regularization

abstract:
  In this paper we offer a unified approach to the problem of nonparametric
regression on the unit interval. It is based on a universal, honest and
non-asymptotic confidence region which is defined by a set of linear
inequalities involving the values of the functions at the design points.
Interest will typically centre on certain simplest functions in that region
where simplicity can be defined in terms of shape (number of local extremes,
intervals of convexity/concavity) or smoothness (bounds on derivatives) or a
combination of both. Once some form of regularization has been decided upon the
confidence region can be used to provide honest non-asymptotic confidence
bounds which are less informative but conceptually much simpler.


title: Dependence of nucleon properties on pseudoscalar meson masses

abstract:
  We discuss the sensitivity of nucleon properties (mass, magnetic moments and
electromagnetic form factors) on the variation of the pseudoscalar meson masses
in the context of the perturbative chiral quark model. The obtained results are
compared to data and other theoretical predictions.


title: On the defence notion

abstract:
  'Trojan horses', 'logic bombs', 'armoured viruses' and 'cryptovirology' are
terms recalling war gears. In fact, concepts of attack and defence drive the
world of computer virology, which looks like a war universe in an information
society. This war has several shapes, from invasions of a network by worms, to
military and industrial espionage ...


title: CP and charge asymmetries at CDF

abstract:
  We present CDF results on the branching fractions and time-integrated direct
CP asymmetries for B0 and B0s decay modes into pairs of charmless charged
hadrons (pions or kaons). We report also the first observation of B0s->DsK mode
and the measurement of its branching fraction.


title:
Performance Bounds for Lambda Policy Iteration and Application to the
  Game of Tetris

abstract:
  We consider the discrete-time infinite-horizon optimal control problem
formalized by Markov Decision Processes. We revisit the work of Bertsekas and
Ioffe, that introduced $\lambda$ Policy Iteration, a family of algorithms
parameterized by $\lambda$ that generalizes the standard algorithms Value
Iteration and Policy Iteration, and has some deep connections with the Temporal
Differences algorithm TD($\lambda$) described by Sutton and Barto. We deepen
the original theory developped by the authors by providing convergence rate
bounds which generalize standard bounds for Value Iteration described for
instance by Puterman. Then, the main contribution of this paper is to develop
the theory of this algorithm when it is used in an approximate form and show
that this is sound. Doing so, we extend and unify the separate analyses
developped by Munos for Approximate Value Iteration and Approximate Policy
Iteration. Eventually, we revisit the use of this algorithm in the training of
a Tetris playing controller as originally done by Bertsekas and Ioffe. We
provide an original performance bound that can be applied to such an
undiscounted control problem. Our empirical results are different from those of
Bertsekas and Ioffe (which were originally qualified as "paradoxical" and
"intriguing"), and much more conform to what one would expect from a learning
experiment. We discuss the possible reason for such a difference.


title: LHC/ILC interplay for challenging SUSY scenarios

abstract:
  Combined analyses at the Large Hadron Collider and at the International
Linear Collider are important to unravel a difficult region of supersymmetry
that is characterized by scalar SUSY particles with masses around 2 TeV.
Precision measurements of masses, cross sections and forward-backward
asymmetries allow to determine the fundamental supersymmetric parameters even
if only a small part of the spectrum is accessible. Mass constraints for the
heavy particles can be derived.


title: 't Hooft vertices, partial quenching, and rooted staggered QCD

abstract:
  We discuss the properties of 't Hooft vertices in partially quenched and
rooted versions of QCD in the continuum. These theories have a physical
subspace, equivalent to ordinary QCD, that is contained within a larger space
that includes many unphysical correlation functions. We find that the 't Hooft
vertices in the physical subspace have the expected form, despite the presence
of unphysical 't Hooft vertices appearing in correlation functions that have an
excess of valence quarks (or ghost quarks). We resolve an apparent paradox that
arises when one uses rooted staggered fermions to study one-flavor QCD, by
showing how, in partially quenched theories, it is possible to have spontaneous
symmetry breaking of a non-anomalous symmetry in finite volume. Using these
results, we demonstrate that arguments recently given by Creutz--claiming to
disprove the validity of rooted staggered QCD--are incorrect. In particular,
the unphysical 't Hooft vertices do not present an obstacle to the recovery of
taste symmetry in the continuum limit.


title: Non-metric gravity: A status report

abstract:
  We review the status of a certain (infinite) class of four-dimensional
generally covariant theories propagating two degrees of freedom that are
formulated without any direct mention of the metric. General relativity itself
(in its Plebanski formulation) belongs to the class, so these theories are
examples of modified gravity. We summarize the current understanding of the
nature of the modification, of the renormalizability properties of these
theories, of their coupling to matter fields, and describe some of their
physical properties.


title: Constraining Nonstandard Neutrino-Electron Interactions

abstract:
  We present a detailed analysis on nonstandard neutrino interactions (NSI)
with electrons including all muon and electron (anti)-neutrino data from
existing accelerators and reactors, in conjunction with the ``neutrino
counting'' data (e- e+ -> nu nu gamma) from the four LEP collaborations. First
we perform a one-parameter-at-a-time analysis, showing how most constraints
improve with respect to previous results reported in the literature. We also
present more robust results where the NSI parameters are allowed to vary freely
in the analysis. We show the importance of combining LEP data with the other
experiments in removing degeneracies in the global analysis constraining
flavor-conserving NSI parameters which, at 90 % and 95 % C.L., must lie within
unique allowed regions. Despite such improved constraints, there is still
substantial room for improvement, posing a big challenge for upcoming
experiments.


title: Lattice gauge theory with staggered fermions: how, where, and why (not)

abstract:
  Many results from lattice QCD of broad importance to particle and nuclear
physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum
limit, staggered fermions yield four species, called tastes. To reduce the
number of tastes to one (per flavor), the simulation employs the fourth root of
the four-taste staggered fermion determinant. This talk surveys evidence in
favor of this procedure, refutes recent criticisms, and reviews recent
algorithmic and technical improvements. Physics results are covered in other
plenary talks.


title:
Three phases in the evolution of the standard genetic code: how
  translation could get started

abstract:
  A primordial genetic code is proposed, having only four codons assigned, GGC
meaning glycine, GAC meaning aspartate/glutamate, GCC meaning alanine-like and
GUC meaning valine-like. Pathways of ambiguity reduction enlarged the codon
repertoire with CUC meaning leucine, AUC meaning isoleucine, ACC meaning
threonine-like and GAG meaning glutamate. Introduction of UNN anticodons, in a
next episode of code evolution in which nonsense elimination was the leading
theme, introduced a family box structure superposed on the original mirror
structure. Finally, growth rate was the leading theme during the remaining
repertoire expansion, explaining the ordered phylogenetic pattern of
aminoacyl-tRNA synthetases. The special role of natural aptamers in the process
is high-lighted, and the error robustness characteristics of the code are shown
to have evolved by way of a stepwise, restricted enlargement of the tRNA
repertoire, instead of by an exhaustive selection process testing myriads of
codes.


title:
Arithmetic and Differential Swan Conductors of rank one representations
  with finite local monodromy

abstract:
  We consider a complete discrete valuation field of characteristic p, with
possibly non perfect residue field. Let V be a rank one continuous
representation with finite local monodromy of its absolute Galois group. We
will prove that the Arithmetic Swan conductor of V (defined after Kato in
[Kat89] which fits in the more general theory of [AS02] and [AS06]) coincides
with the Differential Swan conductor of the associated differential module
$D^{\dag}(V)$ defined by Kedlaya in [Ked]. This construction is a
generalization to the non perfect residue case of the Fontaine's formalism as
presented in [Tsu98a]. Our method of proof will allow us to give a new
interpretation of the Refined Swan Conductor.


title: Open Clusters in the log Age vs. M_V plane

abstract:
  In the log Age vs. integrated absolute magnitude (M_V) plane, the open
clusters of the Milky Way form a well-defined band parallel to theoretical
sequences decribing the passive evolution of Simple Stellar Populations and
display a pretty sharp upper threshold in mass (M ~ 2X 10^4 M_{sun}) over a 4
dex range of ages.


title: Automated supervised classification of variable stars I. Methodology

abstract:
  The fast classification of new variable stars is an important step in making
them available for further research. Selection of science targets from large
databases is much more efficient if they have been classified first. Defining
the classes in terms of physical parameters is also important to get an
unbiased statistical view on the variability mechanisms and the borders of
instability strips. Our goal is twofold: provide an overview of the stellar
variability classes that are presently known, in terms of some relevant stellar
parameters; use the class descriptions obtained as the basis for an automated
`supervised classification' of large databases. Such automated classification
will compare and assign new objects to a set of pre-defined variability
training classes. For every variability class, a literature search was
performed to find as many well-known member stars as possible, or a
considerable subset if too many were present. Next, we searched on-line and
private databases for their light curves in the visible band and performed
period analysis and harmonic fitting. The derived light curve parameters are
used to describe the classes and define the training classifiers. We compared
the performance of different classifiers in terms of percentage of correct
identification, of confusion among classes and of computation time. We describe
how well the classes can be separated using the proposed set of parameters and
how future improvements can be made, based on new large databases such as the
light curves to be assembled by the CoRoT and Kepler space missions.


title: Klein Paradox for Optical Scattering from Excited Targets

abstract:
  The well known Klein paradox for the relativistic Dirac wave equation
consists in the computation of possible ``negative probabilities'' induced by
certain potentials in some regimes of energy. The paradox may be resolved
employing the notion of electron-positron pair production in which the number
of electrons present in a process can increase. The Klein paradox also exists
in Maxwell's equations viewed as the wave equation for photons. In a medium
containing ``inverted energy populations'' of excited atoms, e.g. in a LASER
medium, one may again compute possible ``negative probabilities''. The
resolution of the electromagnetic Klein paradox is that when the atoms decay,
the final state may contain more photons then were contained the initial state.
The optical theorem total cross section for scattering photons from excited
state atoms may then be computed as negative within a frequency band with
matter induced amplification.


title: Feedback Capacity of the Compound Channel

abstract:
  In this work we find the capacity of a compound finite-state channel with
time-invariant deterministic feedback. The model we consider involves the use
of fixed length block codes. Our achievability result includes a proof of the
existence of a universal decoder for the family of finite-state channels with
feedback. As a consequence of our capacity result, we show that feedback does
not increase the capacity of the compound Gilbert-Elliot channel. Additionally,
we show that for a stationary and uniformly ergodic Markovian channel, if the
compound channel capacity is zero without feedback then it is zero with
feedback. Finally, we use our result on the finite-state channel to show that
the feedback capacity of the memoryless compound channel is given by
$\inf_{\theta} \max_{Q_X} I(X;Y|\theta)$.


title: Recent MOST space photometry

abstract:
  The Microvariability and Oscillations of STars (MOST) photometric satellite
has already undertaken more than 64 primary campaigns which include some
clusters and has obtained observations of >850 secondary stars of which ~180
are variable. More than half of the variables pulsate, with the majority being
of B-type. Since 2006 January, MOST has operated with only a single CCD for
both guiding and science. The resulting increase in read-out cadence has
improved precision for the brightest stars. The 2007 light curve for Procyon
confirms the lack of predicted p-modes with photometric amplitudes exceeding 8
ppm as we found in 2004 and 2005. p-modes have been detected in other
solar-type stars as well as pre-main sequence objects, roAp and delta Scuti
variables. g-modes have been detected in a range of slowly pulsating B stars,
Be stars and beta Cephei variables. Differential rotation has been defined for
several spotted solar-type stars and limits set to the albedo of certain
transiting planets and the presence of other perturbing planets. The mission is
expected to continue as long as the experiment operates.


title: On T-Duality and Integrability for Strings on AdS Backgrounds

abstract:
  We discuss an interplay between T-duality and integrability for certain
classical non-linear sigma models. In particular, we consider strings on the
AdS_5 x S^5 background and perform T-duality along the four isometry directions
of AdS_5 in the Poincare patch. The T-dual of the AdS_5 sigma model is again a
sigma model on an AdS_5 space. This classical T-duality relation was used in
the recently uncovered connection between light-like Wilson loops and MHV gluon
scattering amplitudes in the strong coupling limit of the AdS/CFT duality. We
show that the explicit coordinate dependence along the T-duality directions of
the associated Lax connection (flat current) can be eliminated by means of a
field dependent gauge transformation. As a result, the gauge equivalent Lax
connection can easily be T-dualized, i.e. written in terms of the dual set of
isometric coordinates. The T-dual Lax connection can be used for the derivation
of infinitely many conserved charges in the T-dual model. Our construction
implies that local (Noether) charges of the original model are mapped to
non-local charges of the T-dual model and vice versa.


title: A Rank-Metric Approach to Error Control in Random Network Coding

abstract:
  The problem of error control in random linear network coding is addressed
from a matrix perspective that is closely related to the subspace perspective
of K\"otter and Kschischang. A large class of constant-dimension subspace codes
is investigated. It is shown that codes in this class can be easily constructed
from rank-metric codes, while preserving their distance properties. Moreover,
it is shown that minimum distance decoding of such subspace codes can be
reformulated as a generalized decoding problem for rank-metric codes where
partial information about the error is available. This partial information may
be in the form of erasures (knowledge of an error location but not its value)
and deviations (knowledge of an error value but not its location). Taking
erasures and deviations into account (when they occur) strictly increases the
error correction capability of a code: if $\mu$ erasures and $\delta$
deviations occur, then errors of rank $t$ can always be corrected provided that
$2t \leq d - 1 + \mu + \delta$, where $d$ is the minimum rank distance of the
code. For Gabidulin codes, an important family of maximum rank distance codes,
an efficient decoding algorithm is proposed that can properly exploit erasures
and deviations. In a network coding application where $n$ packets of length $M$
over $F_q$ are transmitted, the complexity of the decoding algorithm is given
by $O(dM)$ operations in an extension field $F_{q^n}$.


title: An introduction to the geometry of ultrametric spaces

abstract:
  Some examples and basic properties of ultrametric spaces are briefly
discussed.


title: Symmetry and Supersymmetry in Nuclear Physics

abstract:
  A survey of algebraic approaches to various problems in nuclear physics is
given. Examples are chosen from pairing of many-nucleon systems, nuclear
structure, fusion reactions below the Coulomb barrier, and supernova neutrino
physics to illustrate the utility of group-theoretical and related algebraic
methods in nuclear physics.


title: Information-Theoretic Security in Wireless Networks

abstract:
  This paper summarizes recent contributions of the authors and their
co-workers in the area of information-theoretic security.


title: Bridging geometries and potentials in DBI cosmologies

abstract:
  We investigate the link between the warp function and the potential in DBI
cosmologies in connection with the possibility they represent power-law
solutions. A prescription is given to take advantage of the known result that
given a warp factor there is always a choice of potential resulting in a
constant ratio between pressure and energy density. The method is illustrated
with examples with interesting models for either the warp factor or the
potential. We complete this investigation by giving a recipe to exploit
symmetries in order to generate new solutions from existing ones; this method
can be applied, for instance, to the power-law cosmologies obtained using our
prescription.


title: Inequalities for Integer and Fractional Parts

abstract:
  In this paper we present 43 new inequalities related to integer part and
fractional part.


title: Semiclassical Horizons

abstract:
  The entropy of apparent horizons is derived using coherent states or
semiclassical states in quantum gravity. The leading term is proportional to
area for large horizons, and the correction terms differ according to the
details of the graph which is used to regularise the quantum gravity phase
space variables.


title:
Inherent flexibility and protein function: the open/closed
  conformational transition of the N-terminal domain of calmodulin

abstract:
  The key to understanding a protein's function often lies in its
conformational dynamics. We develop a coarse-grained variational model to
investigate the interplay between structural transitions, conformational
flexibility and function of N-terminal calmodulin (nCaM) domain. In this model,
two energy basins corresponding to the ``closed'' apo conformation and ``open''
holo conformation of nCaM domain are connected by a uniform interpolation
parameter. The resulting detailed transition route from our model is largely
consistent with the recently proposed EF$\beta$-scaffold mechanism in EF-hand
family proteins. We find that the N-terminal part in calcium binding loops I
and II shows higher flexibility than the C-terminal part which form this
EF$\beta$-scaffold structure. The structural transition of binding loops I and
II are compared in detail. Our model predicts that binding loop II, with higher
flexibility and early structural change than binding loop I, dominates the
conformational transition in nCaM domain.


title: Generic boundary scattering in the open XXZ chain

abstract:
  The open critical XXZ spin chain with a general right boundary and a trivial
diagonal left boundary is considered. Within this framework we propose a simple
computation of the exact generic boundary S-matrix (with diagonal and
non-diagonal entries), starting from the `bare' Bethe ansatz equations. Our
results coincide with the ones obtained by Ghoshal and Zamolodchikov, after
assuming suitable identifications of the bulk and boundary parameters.

categories: math-ph cond-mat.stat-mech hep-th math.MP nlin.SI


title: Pointwise convergence of solutions to Schr\"odinger equations

abstract:
  We study pointwise convergence of the solutions to Schr\"odinger equations
with initial datum $f\in H^s(\mathbb R^n)$. The conjecture is that the solution
$e^{it\Delta}f$ converges to $f$ almost everywhere for all $f\in H^s(\mathbb
R^n)$ if and only if $s\ge 1/4$. The conjecture is known true for one spatial
dimension and the convergence when $s>1/2$ was verified for $n\ge 2$. Recently,
concrete progresses have been made in $\mathbb R^2$ for some $s<1/2$. However,
when $n\ge 3$ no positive result is known for the initial datum $f\in
H^s(\mathbb R^n)$, $s\le 1/2$. We show that $\lim_{t\to 0} e^{it\Delta}f= f$
a.e. for $f\in H^s(\mathbb R^3)$ whenever $s>1/2-1/{24}$.


title: Autocorrelation of ratios of L-functions

abstract:
  We give a new heuristic for all of the main terms in the quotient of products
of L-functions averaged over a family. These conjectures generalize the recent
conjectures for mean values of L-functions. Comparison is made to the analogous
quantities for the characteristic polynomials of matrices averaged over a
classical compact group.


title: Decompounding under Gaussian noise

abstract:
  Assuming that a stochastic process $X=(X_t)_{t\geq 0}$ is a sum of a compound
Poisson process $Y=(Y_t)_{t\geq 0}$ with known intensity $\lambda$ and unknown
jump size density $f,$ and an independent Brownian motion $Z=(Z_t)_{t\geq 0},$
we consider the problem of nonparametric estimation of $f$ from low frequency
observations from $X.$ The estimator of $f$ is constructed via Fourier
inversion and kernel smoothing. Our main result deals with asymptotic normality
of the proposed estimator at a fixed point.


title: On the Evolution Equation for Magnetic Geodesics

abstract:
  In this paper we prove the existence of long time solutions for the parabolic
equation for closed magnetic geodesics.


title: Relations between convergence rates in Schatten p-norms

abstract:
  In quantum estimation theory and quantum tomography, the quantum state
obtained by sampling converges to the `true' unknown density matrix under
topologies that are different from the natural notion of distance in the space
of quantum states, i.e. the trace class norm. In this paper, we address such
problem, finding relations between the rates of convergence in the Schatten
$p$-norms and in the trace class norm.


title: A peculiar object in M51: fuzzy star cluster or a background galaxy?

abstract:
  Aims: We study a peculiar object with a projected position close to the
nucleus of M51. It is unusually large for a star cluster in M51 and we
therefore investigate the three most likely options to explain this object: (a)
a background galaxy, (b) a cluster in the disk of M51 and (c) a cluster in M51,
but in front of the disk. Methods: We use HST/ACS and HST/NICMOS broad-band
photometry to study the properties of this object. Assuming the object is a
star cluster, we fit the metallicity, age, mass and extinction using simple
stellar population models. Assuming the object is a background galaxy, we
estimate the extinction from the colour of the background around the object. We
study the structural parameters of the object by fitting the spatial profile
with analytical models. Results: We find de-reddened colours of the object
which are bluer than expected for a typical elliptical galaxy, and the central
surface brightness is brighter than the typical surface brightness of a disc
galaxy. It is therefore not likely that the object is a background galaxy.
Assuming the object is a star cluster in the disc of M51, we estimate an age
and mass of 0.7 Gyr and 2.2 x 10^5 \msun, respectively (with the extinction
fixed to E(B-V) = 0.2). Considering the large size of the object, we argue that
in this scenario we observe the cluster just prior to final dissolution. If we
fit for the extinction as a free parameter, a younger age is allowed and the
object is not close to final dissolution. Alternatively, the object could be a
star cluster in M51, but in front of the disc, with an age of 1.4 Gyr and mass
M = 1.7 x 10^5 \msun. Its effective radius is between ~12-25 pc. This makes the
object a "fuzzy star cluster", raising the issue of how an object of this age
would end up outside the disc.


title:
Alternative Vinen's equation and its extension to rotating counterflow
  superfluid turbulence

abstract:
  Two alternative Vinen's evolution equations for the vortex line density L in
counterflow superfluid turbulence, are physically admissible and lead to
analogous results in steady states. In Phys. Rev. B, 69, 094513 (2004) the most
used of them was generalized to counterflow superfluid turbulence in rotating
containers. Here, the analogous generalization for the alternative Vinen's
equation is proposed. Both generalized Vinen's equations are compared with the
experimental results, not only in steady-states but also in some unsteady
situations. From this analysis follows that the solutions of the alternative
Vinen's equation tend significantly faster to the corresponding final steady
state values than the solutions of the usual Vinen's equation, and that the
latter seems more suitable for the description of the experimental available
data.


title: Pattern Formation in Quantum Ensembles

abstract:
  We present a family of methods, analytical and numerical, which can describe
behaviour in (non) equilibrium ensembles, both classical and quantum,
especially in the complex systems, where the standard approaches cannot be
applied. We demonstrate the creation of nontrivial (meta) stable states
(patterns), localized, chaotic, entangled or decoherent, from basic localized
modes in various collective models arising from the quantum hierarchy of
Wigner-von Neumann-Moyal-Lindblad equations, which are the result of
``wignerization'' procedure of classical BBGKY hierarchy. We present the
explicit description of internal quantum dynamics by means of exact
analytical/numerical computations.

categories: quant-ph cond-mat.stat-mech math-ph math.MP nlin.PS physics.plasm-ph


title: High energy X-ray emission from recurrent novae in quiescence: T CrB

abstract:
  We present Suzaku X-ray observations of the recurrent nova T CrB in
quiescence. T CrB is the first recurrent nova to be detected in the hard-X-ray
band (E ~ 40.0 keV) during quiescence. The X-ray spectrum is consistent with
cooling-flow emission emanating from an optically thin region in the boundary
layer of an accretion disk around the white dwarf. The detection of strong
stochastic flux variations in the light curve supports the interpretation of
the hard X-ray emission as emanating from a boundary layer.


title:
Geometrical Expression of the Angular Resolution of a Network of
  Gravitational-Wave Detectors and Improved Localization Methods

abstract:
  We report for the first time a method-independent geometrical expression for
the angular resolution of an arbitrary network of interferometric gravitational
wave (GW) detectors when the arrival-time of a GW is unknown. We discuss the
implications of our results on how to improve angular resolutions of a GW
network and on improvements of localization methods. An example of an
improvement to the null-stream localization method for GWs of unknown waveforms
is demonstrated.


title: A Character Formula for the Category \~O

abstract:
  One may construct, for any function on the integers, an irreducible module of
level zero for affine sl(2), using the values of the function as structure
constants. The modules constructed using exponential-polynomial functions
realise the irreducible modules with finite-dimensional weight spaces in the
category \~O of Chari. In this work, an expression for the formal character of
such a module is derived using the highest-weight theory of truncations of the
loop algebra.


title: A first measurement of the interaction cross section of the tau neutrino

abstract:
  The DONuT experiment collected data in 1997 and published first results in
2000 based on four observed $\nu_\tau$ charged-current (CC) interactions. The
final analysis of the data collected in the experiment is presented in this
paper, based on $3.6 \times 10^{17}$ protons on target using the 800 GeV
Tevatron beam at Fermilab. The number of observed $\nu_\tau$ CC interactions is
9, from a total of 578 observed neutrino interactions. We calculated the
energy-independent part of the tau-neutrino CC cross section ($\nu + \bar
\nu$), relative to the well-known $\nu_e$ and $\nu_\mu$ cross sections. The
ratio $\sigma(\nu_\tau)$/$\sigma(\nu_{e,\mu})$ was found to be
$1.37\pm0.35\pm0.77$. The $\nu_\tau$ CC cross section was found to be $0.72 \pm
0.24\pm0.36 \times 10^{-38}$ cm$^{2}\rm{GeV}^{-1}$. Both results are in
agreement the Standard Model.


title: Forbidden patterns in financial time series

abstract:
  The existence of forbidden patterns, i.e., certain missing sequences in a
given time series, is a recently proposed instrument of potential application
in the study of time series. Forbidden patterns are related to the permutation
entropy, which has the basic properties of classic chaos indicators, thus
allowing to separate deterministic (usually chaotic) from random series;
however, it requires less values of the series to be calculated, and it is
suitable for using with small datasets. In this Letter, the appearance of
forbidden patterns is studied in different economical indicators like stock
indices (Dow Jones Industrial Average and Nasdaq Composite), NYSE stocks (IBM
and Boeing) and others (10-year Bond interest rate), to find evidences of
deterministic behavior in their evolutions.


title:
The Tallest Column -- A Dynamical System Approach using a Similarity
  Solution

abstract:
  A classic problem, the design of the tallest column, is solved again using a
different method. By the use of a similarity solution the equations are
transformed and the difficult singularity at the endpoint is peeled away. The
resulting autonomous system has a critical point and the solution must be on
its stable manifold. The solution is found by starting near the critical point
in the direction of the stable manifold, and solving backwards numerically.
This removes the need for an iterative integration method that was previously
used. The method is shown to work for clamped or hinged boundary condition and
can also be used for other problems involving singularities at the endpoints.


title:
Discovery and Identification of Contactlike Interactions in Fermion-pair
  Production at ILC

abstract:
  Non-standard scenarios described by effective contactlike interactions can be
revealed only by searching for deviations of the measured observables from the
Standard Model (SM) predictions. If deviations were indeed observed within the
experimental uncertainty, the identification of their source among the
different non-standard interactions should be needed. We here consider the
example of the discrimination of gravity in compactified extra dimensions (ADD
model) against the four-fermion contact interactions (CI). We present
assessments of the identification reach on this scenario, that could be
obtained from measurements of the differential cross sections for the fermionic
processes $e^+e^-\to{\bar f}f$, with $f=e,\mu,\tau,c,b$, at the planned ILC.


title: Magnetic excitations in vanadium spinels

abstract:
  We study magnetic excitations in vanadium spinel oxides AV$_2$O$_4$ (A=Zn,
Mg, Cd) using two models: first one is a superexchange model for vanadium S=1
spins, second one includes in addition spin-orbit coupling, and crystal
anisotropy. We show that the experimentally observed magnetic ordering can be
obtained in both models, however the orbital ordering is different with and
without spin-orbit coupling and crystal anisotropy. We demonstrate that this
difference strongly affects the spin-wave excitation spectrum above the
magnetically ordered state, and argue that the neutron measurement of such
dispersion is a way to distinguish between the two possible orbital orderings
in AV$_2$O$_4$.


title:
Electroweak-scale mirror fermions, $\mu \to e \gamma$ and $\tau \to \mu
  \gamma$

abstract:
  The Lepton Flavour Violating (LFV) processes $\mu \to e \gamma$ and $\tau \to
\mu \gamma$ are estimated in a model of electroweak-scale right-handed
neutrinos. The present bounds on the branching ratios, $B(\mu \to e \gamma)<
1.2 \times 10^{-11}$, $B(\tau \to \mu \gamma) < 6.8 \times 10^{-8}$ (BaBar) and
$< 4.5 \times 10^{-8}$ (Belle), puts strong constraints on the parameters of
the model. This constraint links low energy rare decay processes to high-energy
phenomena (e.g. decay lengths of the mirror charged leptons which are important
in the search for the telltale like-sign dilepton events present in the model
of electroweak-scale right-handed neutrinos).


title: The Optimal Shape of a Javelin

abstract:
  The problem of finding the optimal tapering of a free (non-supported) javelin
is described and solved. For the optimal javelin, the lowest mode of vibration
has the highest possible frequency. With this tapering inner damping will lead
to the cessation of the vibration at the fastest possible rate. The javelin is
modeled as a beam of uniform material. The differential equations governing the
vibration and the tapering of the beam are derived. These equations have a
difficult singularity at the tips of the beam. A procedure using a similarity
solution is used to solve this singular system, and the solution is found. The
maximal frequency is found to be almost 5 times larger than the frequency of a
cylindrical rod.


title: On a Bruhat-like poset

abstract:
  We investigate the poset of strata of a Schubert-like stratification of
certain natural compactification of the space of hermitian $n\times n$
matrices. We prove that this poset is a modular ortholattice, we compute its
M\"{o}bius function and we describe the topology of its order intervals.


title:
Toward the AdS/CFT Gravity Dual for High Energy Collisions: II. The
  Stress Tensor on the Boundary

abstract:
  In this second paper of the series we calculate the stress tensor of excited
matter, created by ``debris'' of high energy collisions at the boundary. We
found that massive objects (``stones'') falling into the AdS center produce
gravitational disturbance which however has $zero$ stress tensor at the
boundary. The falling open strings, connected to receeding charges, do produce
a nonzero stress tensor which we found analytically from time-dependent
linearized Einstein equations in the bulk. It corresponds to exploding
non-equilibrium matter: we discuss its behavior in some detail, including its
internal energy density in a comoving frame and the ``freezeout surfaces''. We
then discuss what happens for the ensemble of strings.


title: Exclusive vector meson electroproduction at HERA

abstract:
  The latest results on exclusive vector meson electroproduction from HERA are
reviewed. In particular, the new high-statistics measurements of the rho^0
electroproduction are presented and compared to several models.


title: Finite Temperature Sum Rules in Lattice Gauge Theory

abstract:
  We derive non-perturbative sum rules in SU($N$) lattice gauge theory at
finite temperature. They relate the susceptibilities of the trace anomaly and
energy-momentum tensor to temperature derivatives of the thermodynamic
potentials. Two of them have been derived previously in the continuum and one
is new. In all cases, at finite latttice spacing there are important
corrections to the continuum sum rules that are only suppressed by the bare
coupling $g_0^2$. We also show how the discretization errors affecting the
thermodynamic potentials can be controlled by computing these susceptibilities.


title:
Conditions for magnetically induced singlet d-wave superconductivity on
  the square lattice

abstract:
  It is expected that at weak to intermediate coupling, d-wave
superconductivity can be induced by antiferromagnetic fluctuations. However,
one needs to clarify the role of Fermi surface topology, density of states,
pseudogap, and wave vector of the magnetic fluctuations on the nature and
strength of the induced d-wave state. To this end, we study the generalized
phase diagram of the two-dimensional half-filled Hubbard model as a function of
interaction strength $U/t$, frustration induced by second-order hopping
$t^{\prime}/t$, and temperature $T/t$. In experiment, $U/t$ and $t^{\prime}/t$
can be controlled by pressure. We use the two-particle self-consistent approach
(TPSC), valid from weak to intermediate coupling. We first calculate as a
function of $t^{\prime}/t$ and $U/t$ the temperature and wave vector at which
the spin response function begins to grow exponentially.D-wave
superconductivity in a half-filled band can be induced by such magnetic
fluctuations at weak to intermediate coupling, but only if they are near
commensurate wave vectors and not too close to perfect nesting conditions where
the pseudogap becomes detrimental to superconductivity. For given $U/t$ there
is thus an optimal value of frustration $t^{\prime}/t$ where the
superconducting $T_c$ is maximum. The non-interacting density of states plays
little role. The symmetry d$_{x^{2}-y^{2}}$ vs d$_{xy}$ of the superconducting
order parameter depends on the wave vector of the underlying magnetic
fluctuations in a way that can be understood qualitatively from simple
arguments.


title: Generalization of Eight Methods for Determining R in the Ideal Gas Law

abstract:
  The ideal gas law of physics and chemistry says that PV = nRT. This law is a
statement of the relationship between four variables (P, V, n, and T) that
reflect properties of a quantity of gas in a container. The law enables us to
make accurate predictions of the value of any one of the four variables from
the values of the other three. The symbol R (called the "molar gas constant")
is the sole parameter or constant of the law. R stands for a fixed number that
has been shown through experiments to equal approximately 8.314472. Eight
methods are available to analyze the data from a relevant experiment to
determine the value of R. These methods are specific instances of eight general
methods that scientists use to determine the value(s) of the parameter(s) of a
model equation of a relationship between variables. Parameter estimation is one
step in the study of a relationship between variables.


title: Modeling Human Dynamics with Adaptive Interest

abstract:
  Recently, increasing empirical evidence indicates the extensive existence of
heavy tails in the interevent time distributions of various human behaviors.
Based on the queuing theory, the Barab\'asi model and its variations suggest
the highest-priority-first protocol a potential origin of those heavy tails.
However, some human activity patterns, also displaying the heavy-tailed
temporal statistics, could not be explained by a task-based mechanism. In this
paper, different from the mainstream, we propose an interest-based model. Both
the simulation and analysis indicate a power-law interevent time distribution
with exponent -1, which is in accordance with some empirical observations in
human-initiated systems.


title: Optical flares from the faint mid-dM star 2MASS J00453911+4140396

abstract:
  We present $B$ and $V$ light curves of a large stellar flare obtained with
the Wide Field Camera at the Isaac Newton 2.5-m telescope (La Palma). The
source object is a faint ($m_V=21.38$) foreground star in the field of the
Andromeda galaxy, with its most probable spectral type being dM4. We provide an
estimate of the total flare energy in the optical range and find it to be of
the order of $10^{35}$ erg. The cooling phase of the large flare shows three
additional weak flare-like events, which we interpret as results of a
triggering mechanism also observed on the Sun during large coronal mass
ejections.


title: Gravitational Wave Sirens as a Triple Probe of Dark Energy

abstract:
  Gravitational wave standard sirens have been considered as precision distance
indicators to high redshift; however, at high redshift standard sirens or
standard candles such as supernovae suffer from lensing noise. We investigate
lensing noise as a signal instead and show how measurements of the maximum
demagnification (minimum convergence) probe cosmology in a highly complementary
manner to the distance itself. Revisiting the original form for minimum
convergence we quantify the bias arising from the commonly used approximation.
Furthermore, after presenting a new lensing probability function we discuss how
the width of the lensed standard siren amplitude distribution also probes
growth of structure. Thus standard sirens and candles can serve as triple
probes of dark energy, measuring both the cosmic expansion history and growth
history.


title: Relaxing neutrino mass bounds by a running cosmological constant

abstract:
  We establish an indirect link between relic neutrinos and the dark energy
sector which originates from the vacuum energy contributions of the neutrino
quantum fields. Via renormalization group effects they induce a running of the
cosmological constant with time which dynamically influences the evolution of
the cosmic neutrino background. We demonstrate that the resulting reduction of
the relic neutrino abundance allows to largely evade current cosmological
neutrino mass bounds and discuss how the scenario might be probed by the help
of future large scale structure surveys and Planck data.


title: Radiography of the Earth's Core and Mantle with Atmospheric Neutrinos

abstract:
  A measurement of the absorption of neutrinos with energies in excess of 10
TeV when traversing the Earth is capable of revealing its density distribution.
Unfortunately, the existence of beams with sufficient luminosity for the task
has been ruled out by the AMANDA South Pole neutrino telescope. In this letter
we point out that, with the advent of second-generation kilometer-scale
neutrino detectors, the idea of studying the internal structure of the Earth
may be revived using atmospheric neutrinos instead.


title: The redshift dependence of the structure of massive LCDM halos

abstract:
  (Abridged) We use two very large cosmological simulations to study how the
density profiles of relaxed LCDM dark halos depend on redshift and on halo
mass. We confirm that these profiles deviate slightly but systematically from
the NFW form and are better approximated by the empirical formula, $d\log
\rho/d\log r \propto r^{\alpha}$, first used by Einasto to fit star counts in
the Milky Way. The best-fit value of the additional shape parameter, $\alpha$,
increases gradually with mass, from alpha ~ 0.16 for present-day galaxy halos
to alpha~ 0.3 for the rarest and most massive clusters. Halo concentrations
depend only weakly on mass at z=0, and this dependence weakens further at
earlier times. At z ~3 the average concentration of relaxed halos does not vary
appreciably over the mass range accessible to our simulations (M >=3e11Msun).
Furthermore, in our biggest simulation, the average concentration of the most
massive}, relaxed halos is constant at c200 ~3.5 to 4 for 0<=z<= 3. These
results have important implications for currently planned surveys of distant
clusters.


title: B-modes from Cosmic Strings

abstract:
  Detecting the parity-odd, or B-mode, polarization pattern in the cosmic
microwave background radiation due to primordial gravity waves is considered to
be the final observational key to confirming the inflationary paradigm. The
search for viable models of inflation from particle physics and string theory
has (re)discovered another source for B-modes: cosmic strings. Strings
naturally generate as much vector mode perturbation as they do scalar,
producing B-mode polarization with a spectrum distinct from that expected from
inflation itself. In a large set of models, B-modes arising from cosmic strings
are more prominent than those expected from primordial gravity waves. In light
of this, we study the physical underpinnings of string-sourced B-modes and the
model dependence of the amplitude and shape of the $C_l^{BB}$ power spectrum.
Observational detection of a string-sourced B-mode spectrum would be a direct
probe of post-inflationary physics near the GUT scale. Conversely,
non-detection would put an upper limit on a possible cosmic string tension of
G\mu < 10^{-7} within the next three years.


title:
Finite temperature SU(2) gauge theory: critical coupling and
  universality class

abstract:
  We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the
vicinity of critical point. For various lattice sizes in time direction
($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical
coupling and critical values of the 4-th order cumulant of Polyakov loops
(Binder cumulant). We check the universality class of the theory by comparing
the cumulant values to that of the 3D Ising model and find very good agreement.
  The Polyakov loop correlators for the indicated lattices are also measured
and the string tension values extracted. The high precision values of critical
coupling and string tension allow us to study the scaling of dimensionless
$T_c/\sqrt{\sigma}$ ratio. The violation of scaling by <10% is observed as the
coupling is varied from weak to strong coupling regime.


title:
Precision predictions for Z'-production at the CERN LHC: QCD matrix
  elements, parton showers, and joint resummation

abstract:
  We improve the theoretical predictions for the production of extra neutral
gauge bosons at hadron colliders by implementing the Z' bosons in the MC@NLO
generator and by computing their differential and total cross sections in joint
p_T and threshold resummation. The two improved predictions are found to be in
excellent agreement with each other for mass spectra, p_T spectra, and total
cross sections, while the PYTHIA parton and ``power'' shower predictions
usually employed for experimental analyses show significant shortcomings both
in normalization and shape. The theoretical uncertainties from scale and parton
density variations and non-perturbative effects are found to be 9%, 8%, and
less than 5%, respectively, and thus under good control. The implementation of
our improved predictions in terms of the new MC@NLO generator or resummed K
factors in the analysis chains of the Tevatron and LHC experiments should be
straightforward and lead to more precise determinations or limits of the Z'
boson masses and/or couplings.


title:
Gravitational lensing by the supermassive black hole in the center of
  M31

abstract:
  We examine the possibility of observing gravitational lensing in the weak
deflection regime by the supermassive black hole in the center of the galaxy
M31. This black hole is significantly more massive than the black hole in the
center of our Galaxy qualifying itself as a more effective lens. However, it is
also more distant and the candidate stellar sources appear consequently
fainter. As potential sources we separately consider stars belonging to the
bulge, to the disk, to the triple nucleus formed by P1+P2 and by the recently
discovered inner cluster P3. We calculate the number of simultaneously lensed
stars at a given time as a function of the threshold magnitude required for the
secondary image. For observations in the K-band we find 1.4 expected stars
having secondary images brighter than K=24 and 182 brighter than K=30. For
observations in the V-band we expect 1.3 secondary images brighter than V=27
and 271 brighter than V=33. The bulge stars have the highest chance to be
lensed by the supermassive black hole, whereas the disk and the composite
nucleus stars contribute by 10% each. The typical angular separation of the
secondary images from the black hole range from 1 mas to 0.1''. For each
population we also show the distribution of the lensed sources as a function of
their distance and absolute magnitude, the expected angular positions and
velocities of the generated secondary images, the rate and the typical duration
of the lensing events.


title:
Inhomogeneous Helium Reionization and the Equation of State of the
  Intergalactic Medium

abstract:
  The temperature of the intergalactic medium (IGM) is set by the competition
between photoheating and adiabatic cooling, which are usually assumed to define
a tight equation of state in which the temperature increases monotonically with
density. We use a semi-analytic model, accurate at low to moderate IGM
densities (<5 times the mean), to show that inhomogeneous reionization can
substantially modify these expectations. Because reionization is driven by
biased sources, dense pockets of the IGM are likely to be ionized first. As a
result, voids initially remain cool while dense regions are heated
substantially. However, near the end of reionization, dense regions have
already cooled from their initially large temperature while voids have only
just been heated. Thus, near the end of helium reionization the equation of
state can invert itself, with the hottest gas inside voids. The degree to which
this happens depends on the magnitude of the density bias during reionization:
if rare, bright sources dominate reionization, so that each ionized region
contains a typical volume of the IGM, the equation of state will remain
monotonic. We also show that the distribution of temperatures at a fixed
density has significant scatter and evolves rapidly throughout and even after
reionization. Finally, we show that the observed temperature jump at z ~3.2 is
consistent with the behavior at the end of helium reionization, although it
requires a somewhat larger temperature increase than expected.


title:
Dynamical dimer correlations at bipartite and non-bipartite
  Rokhsar-Kivelson points

abstract:
  We determine the dynamical dimer correlation functions of quantum dimer
models at the Rokhsar-Kivelson point on the bipartite square and cubic lattices
and the non-bipartite triangular lattice. Based on an algorithmic idea by
Henley, we simulate a stochastic process of classical dimer configurations in
continuous time and perform a stochastic analytical continuation to obtain the
dynamical correlations in momentum space and the frequency domain. This
approach allows us to observe directly the dispersion relations and the
evolution of the spectral intensity within the Brillouin zone beyond the
single-mode approximation. On the square lattice, we confirm analytical
predictions related to soft modes close to the wavevectors (pi,pi) and (pi,0)
and further reveal the existence of shadow bands close to the wavevector (0,0).
On the cubic lattice the spectrum is also gapless but here only a single soft
mode at (pi,pi,pi) is found, as predicted by the single mode approximation. The
soft mode has a quadratic dispersion at very long wavelength, but crosses over
to a linear behavior very rapidly. We believe this to be the remnant of the
linearly dispersing "photon" of the Coulomb phase. Finally the triangular
lattice is in a fully gapped liquid phase where the bottom of the dimer
spectrum exhibits a rich structure. At the M point the gap is minimal and the
spectral response is dominated by a sharp quasiparticle peak. On the other
hand, at the X point the spectral function is much broader. We sketch a
possible explanation based on the crossing of the coherent dimer excitations
into the two-vison continuum.


title:
Superintegrable systems with spin in two- and three-dimensional
  Euclidean spaces

abstract:
  The concept of superintegrability in quantum mechanics is extended to the
case of a particle with spin s=1/2 interacting with one of spin s=0.
Non-trivial superintegrable systems with 8- and 9-dimensional Lie algebras of
first-order integrals of motion are constructed in two- and three-dimensional
spaces, respectively.


title:
Acoustic phonon scattering limited carrier mobility in 2D extrinsic
  graphene

abstract:
  We theoretically calculate the phonon scattering limited electron mobility in
extrinsic (i.e. gated or doped with a tunable and finite carrier density) 2D
graphene layers as a function of temperature $(T)$ and carrier density $(n)$.
We find a temperature dependent phonon-limited resistivity $\rho_{ph}(T)$ to be
linear in temperature for $T\agt 50 K$ with the room temperature intrinsic
mobility reaching values above $10^5$ cm$^2/Vs$. We comment on the
low-temperature Bloch-Gr\"{u}neisen behavior where $\rho_{ph}(T) \sim T^4$ for
unscreened electron-phonon coupling.


title: Deeply Virtual Compton Scattering with CLAS

abstract:
  The beam spin asymmetries of the reaction ep -> epg in the Bjorken regime
were measured over a wide kinematical domain using the CLAS detector and a new
lead-tungstate calorimeter. Through the interference of the Bethe-Heitler
process with Deeply Virtual Compton Scattering, those asymmetries provide
constraints for the nucleon Generalized Parton Distributions models. The
observed shapes are in agreement with twist-2 dominance predictions.


title: Dirac neutrinos and anomaly-free discrete gauge symmetries

abstract:
  Relying on Dirac neutrinos allows an infinity of anomaly-free discrete gauge
symmetries to be imposed on the Supersymmetric Standard Model, some of which
are GUT-compatible.


title: Universal quantum mechanics

abstract:
  If gravity respects quantum mechanics, it is important to identify the
essential postulates of a quantum framework capable of incorporating
gravitational phenomena. Such a construct likely requires elimination or
modification of some of the "standard" postulates of quantum mechanics, in
particular those involving time and measurement. This paper proposes a
framework that appears sufficiently general to incorporate some expected
features of quantum gravity. These include the statement that space and time
may only emerge approximately and relationally. One perspective on such a
framework is as a sort of generalization of the S-matrix approach to dynamics.
Within this framework, more dynamical structure is required to fully specify a
theory; this structure is expected to lack some of the elements of local
quantum field theory. Some aspects of this structure are discussed, both in the
context of scattering of perturbations about a flat background, and in the
context of cosmology.


title: Low density ferromagnetism in biased bilayer graphene

abstract:
  We compute the phase diagram of a biased graphene bilayer. The existence of a
ferromagnetic phase is discussed with respect both to carrier density and
temperature. We find that the ferromagnetic transition is first order, lowering
the value of $U$ relatively to the usual Stoner criterion. We show that in the
ferromagnetic phase the two planes have unequal magnetization and that the
electronic density is hole like in one plane and electron like in the other.


title: Self-gravitating fragmentation of eccentric accretion disks

abstract:
  We consider the effects of eccentricity on the fragmentation of
gravitationally unstable accretion disks, using numerical hydrodynamics. We
find that eccentricity does not affect the overall stability of the disk
against fragmentation, but significantly alters the manner in which such
fragments accrete gas. Variable tidal forces around an eccentric orbit slow the
accretion process, and suppress the formation of weakly-bound clumps. The
"stellar" mass function resulting from the fragmentation of an eccentric disk
is found to have a significantly higher characteristic mass than that from a
corresponding circular disk. We discuss our results in terms of the disk(s) of
massive stars at ~0.1pc from the Galactic Center, and find that the
fragmentation of an eccentric accretion disk, due to gravitational instability,
is a viable mechanism for the formation of these systems.


title: DBI N-flation

abstract:
  We investigate DBI inflation using $N$ multiple branes and show how the
configuration is equivalent to a single wrapped $D5$-brane with flux. We then
show how 1/N corrections can be implemented, and we examine the sound speed and
levels of non-Gaussianities in two distinct cases. For models with constant
warping we find that the non-Gaussian amplitude is bounded from above (as a
function of $\gamma$). For $AdS$ backgrounds we find that the signature is
generally large and positive, although is no longer globally defined over the
full phase space. We then investigate an inflationary mechanism using a
representation cascade, whereby the transition from a reducible representation
to the irrep drives inflation.


title:
Zero Lag Synchronization of Mutually Coupled Lasers in the Presence of
  Delays

abstract:
  We consider a line of three mutually coupled lasers with time delays and
study chaotic synchronization of the outer lasers. Two different systems are
presented: optoelectronically coupled semiconductor lasers and optically
coupled fiber lasers. While the dynamics of the two systems are very different,
robust synchronization of end lasers is obtained in both cases over a range of
parameters. Here, we present analysis and numerical simulation to explain some
of the observed synchronization phenomena. First, we introduce the system of
three coupled semiconductor lasers and discuss the onset of oscillations that
occurs via a bifurcation as the coupling strength increases. Next, we analyze
the synchronization of the end lasers by examining the dynamics transverse to
synchronized state. We prove that chaotic synchronization of the outer
semiconductor lasers will occur for sufficiently long delays, and we make a
comparison to generalized synchronization in driven dissipative systems. It is
shown that the stability of synchronous state (as indicated by negative
Lyupunov exponents transverse to the synchronization manifold) depends on the
internal dissipation of the outer lasers. We next present numerical simulations
for three coupled fiber lasers, highlighting some of the differences between
the semiconductor and fiber laser systems. Due to the large number of coupled
modes in fiber lasers, this is a good system for investigating spatio-temporal
chaos. Stochastic noise is included in the fiber laser model, and synchrony of
the outer lasers is observed even at very small coupling strengths.


title:
The decay of excited He from Stochastic Density-Functional Theory: a
  quantum measurement theory interpretation

abstract:
  Recently, time-dependent current-density functional theory has been extended
to include the dynamical interaction of quantum systems with external
environments [Phys. Rev. Lett. {\bf 98}, 226403 (2007)]. Here we show that such
a theory allows us to study a fundamentally important class of phenomena
previously inaccessible by standard density-functional methods: the decay of
excited systems. As an example we study the decay of an ensemble of excited He
atoms, and discuss these results in the context of quantum measurement theory.


title: Nested Hilbert schemes and the nested q,t-Catalan series

abstract:
  In this paper we study the tangent spaces of the smooth nested Hilbert scheme
$ Hil{n,n-1}$ of points in the plane, and give a general formula for computing
the Euler characteristic of a $\TT^2$-equivariant locally free sheaf on
$\Hil{n,n-1}$. Applying our result to a particular sheaf, we conjecture that
the result is a polynomial in the variables $q$ and $t$ with non-negative
integer coefficients . We call this conjecturally positive polynomial as
\textsl{the nested $q,t$-Cat alan series}, for it has many conjectural
properties similar to that of the $q,t $-Catalan series.


title:
X-ray Observations of Galaxies: The Importance of Deep High-Resolution
  Observations

abstract:
  X-ray observations of galaxies have grown from a curiosity into a
full-fledged field of astronomy. These observations provide unique information
on black holes, binary stars, and the hot phase of the ISM, which can be used
to constrain the chemical evolution of the Universe, and the joint evolution of
galaxies and massive black holes. These exciting results are due in large part
to the high-resolution capability of {\it Chandra}. To follow on {\it Chandra}
and push forward this science past the present capabilities, our community must
build a high-resolution (sub-arcsecond) large-area (several square meters)
X-ray telescope.


title: Arrangements of curves and algebraic surfaces

abstract:
  We prove a strong relation between Chern and log Chern invariants of
algebraic surfaces. For a given arrangement of curves, we find nonsingular
projective surfaces with Chern ratio arbitrarily close to the log Chern ratio
of the log surface defined by the arrangement. Our method is based on sequences
of random p-th root covers, which exploit a certain large scale behavior of
Dedekind sums and lengths of continued fractions. We show that randomness is
necessary for our asymptotic result, providing another instance of "randomness
implies optimal". As an application over the complex numbers, we construct
nonsingular simply connected projective surfaces of general type with large
Chern ratio. In particular, we improve the Persson-Peters-Xiao record for Chern
ratios of such surfaces.


title: Rigidity of polyhedral surfaces, II

abstract:
  We study the rigidity of polyhedral surfaces using variational principle. The
action functionals are derived from the cosine laws. The main focus of this
paper is on the cosine law for a non-triangular region bounded by three
possibly disjoint geodesics. Several of these cosine laws were first discovered
and used by Fenchel and Nielsen. By studying the derivative of the cosine laws,
we discover a uniform approach on several variational principles on polyhedral
surfaces with or without boundary. As a consequence, the work of Penner,
Bobenko-Springborn and Thurston on rigidity of polyhedral surfaces and circle
patterns are extended to a very general context.


title: Boron Fullerenes: A First-Principles Study

abstract:
  A family of unusually stable boron cages was identified and examined using
first-principles local density functional method. The structure of the
fullerenes is similar to that of the B12 icosahedron and consists of six
crossing double-rings. The energetically most stable fullerene is made up of
180 boron atoms. A connection between the fullerene family and its precursors,
boron sheets, is made. We show that the most stable boron sheets are not
necessarily precursors of very stable boron cages. Our finding is a step
forward in the understanding of the structure of the recently produced boron
nanotubes.


title:
Polarization-anisotropy induced spatial anisotropy of polariton
  amplification in planar semiconductor microcavities

abstract:
  Based on a microscopic many-particle theory we investigate the amplification
of polaritons in planar semiconductor microcavities. We study a spatially
perfectly isotropic microcavity system and excitation geometry. For this
system, our analysis shows that a pump-induced vectorial polarization
anisotropy can lead to a spatial anisotropy in the stimulated amplification of
polaritons. This effect is brought about by the interplay of the
longitudinal-transverse cavity mode splitting (TE-TM splitting) and the
spin-dependence of the polariton-polariton scattering processes.


title:
A Study of Muon Neutrino Disappearance Using the Fermilab Main Injector
  Neutrino Beam

abstract:
  We report the results of a search for muon-neutrino disappearance by the Main
Injector Neutrino Oscillation Search. The experiment uses two detectors
separated by 734 km to observe a beam of neutrinos created by the Neutrinos at
the Main Injector facility at Fermi National Accelerator Laboratory. The data
were collected in the first 282 days of beam operations and correspond to an
exposure of 1.27e20 protons on target. Based on measurements in the Near
Detector, in the absence of neutrino oscillations we expected 336 +/- 14
muon-neutrino charged-current interactions at the Far Detector but observed
215. This deficit of events corresponds to a significance of 5.2 standard
deviations. The deficit is energy dependent and is consistent with two-flavor
neutrino oscillations according to delta m-squared = 2.74e-3 +0.44/-0.26e-3
eV^2 and sin^2(2 theta) > 0.87 at 68% confidence level.


title: An Exceptionally Simple Theory of Everything

abstract:
  All fields of the standard model and gravity are unified as an E8 principal
bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4
subalgebras which break down to strong su(3), electroweak su(2) x u(1),
gravitational so(3,1), the frame-Higgs, and three generations of fermions
related by triality. The interactions and dynamics of these 1-form and
Grassmann valued parts of an E8 superconnection are described by the curvature
and action over a four dimensional base manifold.


title:
Surface velocity network with anti-solar differential rotation on the
  active K-giant $\sigma$ Geminorum

abstract:
  We demonstrate the power of the local correlation tracking technique on
stellar data for the first time. We recover the spot migration pattern of the
long-period RS CVn-type binary $\sigma$ Gem from a set of six Doppler images
from 3.6 consecutive rotation cycles. The resulting surface flow map suggests a
weak anti-solar differential rotation with $\alpha\approx-0.0022\pm0.0016$, and
a coherent poleward spot migration with an average velocity of $220\pm10$ m
s$^{-1}$. This result agrees with our recent findings from another study and
could also be confirmed theoretically.


title: Local tuning of photonic crystal cavities using chalcogenide glasses

abstract:
  We demonstrate a method to locally change the refractive index in planar
optical devices by photodarkening of a thin chalcogenide glass layer deposited
on top of the device. The method is used to tune the resonance of GaAs-based
photonic crystal cavities by up to 3 nm at 940 nm, with only 5% deterioration
in cavity quality factor. The method has broad applications for postproduction
tuning of photonic devices.


title: Ly$\alpha$ Leaks in the Absorption Spectra of High Redshift QSOs

abstract:
  Spectra of high redshift QSOs show deep Gunn-Peterson absorptions on the blue
sides of the \Lya emissions lines. They can be decomposed into components
called \Lya leaks, defined to be emissive regions in complementary to otherwise
zero-fluxed absorption gaps. Just like \Lya absorption forests at low
redshifts, \Lya leaks are both easy to find in observations and containing rich
sets of statistical properties that can be used to study the early evolution of
the IGM. Among all properties of a leak profile, we investigate its equivalent
width in this paper, since it is weakly affected by instrumental resolution and
noise. Using 10 Keck QSO spectra at $z\sim6$, we have measured the number
density distribution function $n(W,z)$, defined to be the number of leaks per
equivalent width $W$ and per redshift $z$, in the redshift range $5.4 - 6.0$.
These new observational statistics, in both the differential and cumulative
forms, fit well to hydro numerical simulations of uniform ionizing background
in the $\Lambda$CDM cosmology. In this model, Ly $\alpha$ leaks are mainly due
to low density voids. It supports the early studies that the IGM at $z\simeq6$
would still be in a highly ionized state with neutral hydrogen fraction $\simeq
10^{-4}$. Measurements of $n(W,z)$ at $z>6$ would be effective to probe the
reionization of the IGM.


title: Exact Casimir Interaction Between Semitransparent Spheres and Cylinders

abstract:
  A multiple scattering formulation is used to calculate the force, arising
from fluctuating scalar fields, between distinct bodies described by
$\delta$-function potentials, so-called semitransparent bodies. (In the limit
of strong coupling, a semitransparent boundary becomes a Dirichlet one.) We
obtain expressions for the Casimir energies between disjoint parallel
semitransparent cylinders and between disjoint semitransparent spheres. In the
limit of weak coupling, we derive power series expansions for the energy, which
can be exactly summed, so that explicit, very simple, closed-form expressions
are obtained in both cases. The proximity force theorem holds when the objects
are almost touching, but is subject to large corrections as the bodies are
moved further apart.


title: A SCUBA survey of bright-rimmed clouds

abstract:
  Context: Bright-rimmed clouds (BRCs) are potential examples of triggered star
formation regions, in which photoionisation driven shocks caused by the
expansion of HII regions induce protostellar collapse within the clouds. Aims:
The main purpose of the paper is to establish the level of star formation
occuring within a known set of BRCs. A secondary aim is to determine the
extent, if any, to which this star formation has been promulgated by the
process of photoionisation triggering. Methods:A primary set of observations is
presented obtained with submillimeter SCUBA observations and archival data from
near-IR and mid- to far-IR have been explored for relevant observations and
incorporated where appropriate. Results:SCUBA observations show a total of 47
dense cores within the heads of 44 observed BRCs drawn from a catalogue of IRAS
sources embedded within HII regions, supportive of the scenario proposed by RDI
models. The physical properties of these cores indicate star formation across
the majority of our sample. This star formation appears to be predominately in
the regime of intermediate to high mass and may indicate the formation of
clusters. IR observations indicate the association of early star forming
sources with our sample. A fundamental difference appears to exist between
different morphological types of BRC, which may indicate a different
evolutionary pathway toward star formation in the different types of BRC.
Conclusions:Bright-rimmed clouds are found to harbour star formation in its
early stages. Different evolutionary scenarios are found to exist for different
morphological types of BRC. The morphology of a BRC is described as type `A',
moderately curved rims, type `B', tightly curved rims, and `C', cometary rims.
`B' and `C' morphological types...


title: Quantum Oscillations in the mixed state of d-wave superconductor

abstract:
  We show that the low-energy density of quasiparticle states in the mixed
state of ultra-clean d-wave superconductors is characterized by pronounced
quantum oscillations in the regime where the cyclotron frequency $\hbar\omega_c
\ll \Delta_0$, the d-wave pairing gap. Such oscillations as a function of
magnetic field B are argued to be due to the internodal scattering of the
d-wave quasiparticles near wavevectors $(\pm k_D,\pm k_D)$ by the vortex
lattice as well as their Zeeman coupling. The periodicity of the oscillations
is set by the condition $k_D \sqrt{hc/(eB)} \equiv k_D' \sqrt{hc/(eB')}\pmod
{2\pi}$. We find that there is additional structure within each period which
grows in complexity as the Dirac node anisotropy increases.


title: Lifetimes of states in 19Ne above the 15 O + alpha breakup threshold

abstract:
  The 15O(alpha,gamma)19Ne reaction plays a role in the ignition of Type I
x-ray bursts on accreting neutron stars. The lifetimes of states in 19Ne above
the 15O + alpha threshold of 3.53 MeV are important inputs to calculations of
the astrophysical reaction rate. These levels in 19Ne were populated in the
3He(20Ne,alpha)19Ne reaction at a 20Ne beam energy of 34 MeV. The lifetimes of
six states above the threshold were measured with the Doppler shift attenuation
method (DSAM). The present measurements agree with previous determinations of
the lifetimes of these states and in some cases are considerably more precise.


title: Quantum Resonant Leptogenesis and Minimal Lepton Flavour Violation

abstract:
  It has been recently shown that the quantum Boltzmann equations may be
relevant for the leptogenesis scenario. In particular, they lead to a
time-dependent CP asymmetry which depends upon the previous dynamics of the
system. This memory effect in the CP asymmetry is particularly important in
resonant leptogenesis where the asymmetry is generated by the decays of nearly
mass-degenerate right-handed neutrinos. We study the impact of the non-trivial
time evolution of the CP asymmetry in the so-called Minimal Lepton Flavour
Violation framework where the charged-lepton and the neutrino Yukawa couplings
are the only irreducible sources of lepton-flavour symmetry breaking and
resonant leptogenesis is achieved. We show that significant quantitative
differences arise with respect to the case in which the time dependence of the
CP asymmetry is neglected.


title: Nonlinear Evolution of Anisotropic Cosmological Power

abstract:
  There has been growing interest in the possibility of testing more precisely
the assumption of statistical isotropy of primordial density perturbations. If
it is to be tested with galaxy surveys at distance scales <~ 10 Mpc, then
nonlinear evolution of anisotropic power must be understood. To this end, we
calculate the angular dependence of the power spectrum to third order in
perturbation theory for a primordial power spectrum with a quadrupole
dependence on the wavevector direction. Our results suggest that primordial
power anisotropies will be suppressed by <~ 7% in the quasilinear regime. We
also show that the skewness in the statistically anisotropic theory differs by
no more than 1% from that in the isotropic theory.


title:
A remark on the enclosure method for a body with an unknown homogeneous
  background conductivity

abstract:
  Previous applications of the enclosure method with a finite set of
observation data to a mathematical model of electrical impedance tomography are
based on the assumption that the conductivity of the background body is
homogeneous and known. This paper considers the case when the conductivity is
homogeneous and unknown. It is shown that, in two dimensions if the domain
occupied by the background body is enclosed by an ellipse, then it is still
possible to extract some information about the location of unknown cavities or
inclusions embedded in the body without knowing the background conductivity
provided the Fourier series expansion of the voltage on the boundary does not
contain high frequency parts (band limited) and satisfies a non vanishing
condition of a quantity involving the Fourier coefficients.


title: Integration Theory for Zero Sets of Polyfold Fredholm Sections

abstract:
  In this paper we develop an integration theory for zero sets of polyfold
Fredholm sections. The results are needed in the application of the polyfold
theory. We use it for example in the construction of symplectic field theory.


title:
Extreme Habitability: Formation of Habitable Planets in Systems with
  Close-in Giant Planets and/or Stellar Companions

abstract:
  With more than 260 extrasolar planetary systems discovered to-date, the
search for habitable planets has found new grounds. Unlike our solar system,
the stars of many of these planets are hosts to eccentric or close-in giant
bodies. Several of these stars are also members of moderately close ($<$40 AU)
binary or multi-star systems. The formation of terrestrial objects in these
"extreme" environments is strongly affected by the dynamics of their giant
planets and/or their stellar companions. These objects have profound effects on
the chemical structure of the disk of planetesimals and the radial mixing of
these bodies in the terrestrial regions of their host stars. For many years, it
was believed that such effects would be so destructive that binary stars and
also systems with close-in giant planets would not be able to form and harbor
habitable bodies. Recent simulations have, however, proven otherwise. I will
review the results of the simulations of the formation and long-term stability
of Earth-like objects in the habitable zones of such "extreme" planetary
systems, and discuss the possibility of the formation of terrestrial planets,
with significant amounts of water, in systems with hot Jupiters, and also
around the primaries of moderately eccentric close binary stars.


title: Socles of Buchsbaum modules, complexes and posets

abstract:
  The socle of a graded Buchsbaum module is studied and is related to its local
cohomology modules. This algebraic result is then applied to face enumeration
of Buchsbaum simplicial complexes and posets. In particular, new necessary
conditions on face numbers and Betti numbers of such complexes and posets are
established. These conditions are used to settle in the affirmative K\"uhnel's
conjecture for the maximum value of the Euler characteristic of a
$2k$-dimensional simplicial manifold on $n$ vertices as well as Kalai's
conjecture providing a lower bound on the number of edges of a simplicial
manifold in terms of its dimension, number of vertices, and the first Betti
number.


title: Addendum to Research MMMCV; A Man/Microbio/Megabio/Computer Vision

abstract:
  In October 2007, a Research Proposal for the University of Sydney, Australia,
the author suggested that biovie-physical phenomenon as `electrodynamic
dependant biological vision', is governed by relativistic quantum laws and
biovision. The phenomenon on the basis of `biovielectroluminescence', satisfies
man/microbio/megabio/computer vision (MMMCV), as a robust candidate for
physical and visual sciences. The general aim of this addendum is to present a
refined text of Sections 1-3 of that proposal and highlighting the contents of
its Appendix in form of a `Mechanisms' Section. We then briefly remind in an
article aimed for December 2007, by appending two more equations into Section
3, a theoretical II-time scenario as a time model well-proposed for the
phenomenon. The time model within the core of the proposal, plays a significant
role in emphasizing the principle points on Objectives no. 1-8, Sub-hypothesis
3.1.2, mentioned in Article [arXiv:0710.0410]. It also expresses the time
concept in terms of causing quantized energy f(|E|) of time |t|, emit in regard
to shortening the probability of particle loci as predictable patterns of
particle's un-occurred motion, a solution to Heisenberg's uncertainty principle
(HUP) into a simplistic manner. We conclude that, practical frames via a time
algorithm to this model, fixates such predictable patterns of motion of scenery
bodies onto recordable observation points of a MMMCV system. It even
suppresses/predicts superposition phenomena coming from a human subject and/or
other bio-subjects for any decision making event, e.g., brainwave quantum
patterns based on vision. Maintaining the existential probability of Riemann
surfaces of II-time scenarios in the context of biovielectroluminescence, makes
motion-prediction a possibility.


title: D0 mixing at Belle

abstract:
  We report the recent two results of D0-D0bar mixing studies at Belle in
D0->K+K-/pi+pi- and D0->K_S^0 pi+pi- decays. The former measures the relative
difference of the lifetimes y_{CP}, giving the evidence of D0-D0bar mixing; the
latter measures the D0 mixing parameters x and y.


title:
Thermodynamics of a black hole based on a generalized uncertainty
  principle

abstract:
  We study thermodynamic quantities and the stability of a black hole in a
cavity using the Euclidean action formalism by Gibbons and Hawking based on the
generalized uncertainty relation which is extended in a symmetric way with
respect to the space and momentum without loss of generality. Two parameters in
the uncertainty relation affect the thermodynamical quantities such as energy,
entropy, and the heat capacity. In particular, it can be shown that the small
black hole is unstable and it may decay either into a minimal black hole or a
large black hole. We discuss a constraint for a large black hole comparable to
the size of the cavity in connection with the critical mass.


title:
Making a field effect transistor on a single graphene nanoribbon by
  selective doping

abstract:
  Using first-principle electronic structure calculations, we show a metal-
semiconductor transition of a metallic graphene nanoribbon with zigzag edges
induced by substitutional doping of Nitrogen or Boron atoms at the edges. A
field effect transistor consisting of a metal-semiconductor-metal junction can
then be constructed by selective doping of the ribbon edges. The
current-voltage characteristics of such a prototype device is determined by the
first-principle quantum transport calculations.


title: On a Continuum Limit for Loop Quantum Cosmology

abstract:
  The use of non-regular representations of the Heisenberg-Weyl commutation
relations has proved to be useful for studying conceptual and technical issues
in quantum gravity. Of particular relevance is the study of Loop Quantum
Cosmology (LQC), a symmetry reduced theory that is related to Loop Quantum
Gravity, and that is based on a non-regular, polymeric representation.
Recently, a soluble model was used by Ashtekar, Corichi and Singh to study the
relation between Loop Quantum Cosmology and the standard Wheeler-DeWitt theory
and in particular the passage to the limit in which the auxiliary parameter
(interpreted as "quantum geometry discreetness") is sent to zero in hope to get
rid of this `regulator ambiguity' in the LQC dynamics. In this note we outline
the first steps toward reformulating this question within the program developed
by the authors for studying the continuum limit of polymeric theories, which
was successfully applied to simple systems such as a Simple Harmonic Oscillator
and the Free Particle.


title: Universal Behavior in Heavy Electron Materials

abstract:
  We present our finding that an especially simple scaling expression describes
the formation of a new state of quantum matter, the Kondo Fermi liquid (KL) in
heavy electron materials. Emerging at $T^*$ as a result of the collective
coherent hybridization of localized f electrons and conduction electrons, the
KL possesses a non-Landau density of states varying as
$(1-T/T^*)^{3/2}[1+\ln(T^*/T)]$. We show that four independent experimental
probes verify this scaling behavior and that for CeIrIn$_5$ the KL state
density is in excellent agreement with the recent microscopic calculations of
hybridization in this material by Shim, Haule, and Kotliar.