title:
Effect of quantum confinement of surface electrons on an atomic motion
  on nanoislands

abstract:
  Ab initio calculations and kinetic Monte Carlo simulations demonstrate that
the quantum confinement of surface electrons to nanoislands can significantly
affect the growth process at low temperatures. Formation of empty zones and
orbits of an adatom motion is demonstrated for Cu nanoislands on Cu(111).


title:
Quantum Computation with Generalized Binomial States in Cavity Quantum
  Electrodynamics

abstract:
  We study universal quantum computation in the cavity quantum electrodynamics
(CQED) framework exploiting two orthonormal two-photon generalized binomial
states as qubit and dispersive interactions of Rydberg atoms with high-$Q$
cavities. We show that an arbitrary qubit state may be generated and that
controlled-NOT and 1-qubit rotation gates can be realized via standard
atom-cavity interactions.


title: Statistical Mechanics of Graphity Models

abstract:
  Graphity models are characterized by configuration spaces in which states
correspond to graphs and Hamiltonians that depend on local properties of graphs
such as the degrees of vertices and numbers of short cycles. As statistical
systems, graphity models can be studied analytically by estimating their
partition functions or numerically by Monte Carlo simulations. Results
presented here are based on both of these approaches and give new information
about the high- and low-temperature behavior of the models and the transitions
between them. In particular, it is shown that matter degrees of freedom must
play an important role in order for the low-temperature regime to be described
by graphs resembling interesting extended geometries.


title: Singular fate of the universe in modified theories of gravity

abstract:
  In this paper we study the final fate of the universe in modified theories of
gravity. As compared with general relativistic formulations, in these scenarios
the Friedmann equation has additional terms which are relevant for low density
epochs. We analyze the sort of future singularities to be found under the usual
assumption the expanding Universe is solely filled with a pressureless
component. We report our results using two schemes: one concerned with the
behavior of curvature scalars, and a more refined one linked to observers. Some
examples with a very solid theoretical motivation and some others with a more
phenomenological nature are used for illustration.


title: Smoothing-inspired lack-of-fit tests based on ranks

abstract:
  A rank-based test of the null hypothesis that a regressor has no effect on a
response variable is proposed and analyzed. This test is identical in structure
to the order selection test but with the raw data replaced by ranks. The test
is nonparametric in that it is consistent against virtually any smooth
alternative, and is completely distribution free for all sample sizes. The
asymptotic distribution of the rank-based order selection statistic is obtained
and seen to be the same as that of its raw data counterpart. Exact small sample
critical values of the test statistic are provided as well. It is shown that
the Pitman-Noether efficiency of the proposed rank test compares very favorably
with that of the order selection test. In fact, their asymptotic relative
efficiency is identical to that of the Wilcoxon signed rank and $t$-tests. An
example involving microarray data illustrates the usefulness of the rank test
in practice.


title:
Secure Network Coding Against the Contamination and Eavesdropping
  Adversaries

abstract:
  In this paper, we propose an algorithm that targets contamination and
eavesdropping adversaries. We consider the case when the number of independent
packets available to the eavesdropper is less than the multicast capacity of
the network. By means of our algorithm every node can verify the integrity of
the received packets easily and an eavesdropper is unable to get any meaningful
information about the source. We call it practical security if an eavesdropper
is unable to get any meaningful information about the source.We show that, by
giving up a small amount of overall capacity, our algorithm achieves achieves
the practically secure condition at a probability of one. Furthermore, the
communication overhead of our algorithm are negligible compared with previous
works, since the transmission of the hash values and the code coefficients are
both avoided.


title: Modified Jeans Instability Criteria for Magnetized Systems

abstract:
  The Jeans instability is analyzed for dense magnetohydrodynamic plasmas with
intrinsic magnetization, the latter due to collective electron spin effects.
Furthermore, effects of electron tunneling as well as the Fermi pressure are
included. It is found that the intrinsic magnetization of the plasma will
enhance the Jeans instability, and can significantly modify the structure of
the instability spectra. Implications and limitations of our results are
discussed, as well as possible generalizations.


title: A comparative evolutionary study of transcription networks

abstract:
  We present a comparative analysis of large-scale topological and evolutionary
properties of transcription networks in three species, the two distant bacteria
E. coli and B. subtilis, and the yeast S. cerevisiae. The study focuses on the
global aspects of feedback and hierarchy in transcriptional regulatory
pathways. While confirming that gene duplication has a significant impact on
the shaping of all the analyzed transcription networks, our results point to
distinct trends between the bacteria, where time constraints in the
transcription of downstream genes might be important in shaping the
hierarchical structure of the network, and yeast, which seems able to sustain a
higher wiring complexity, that includes the more feedback, intricate hierarchy,
and the combinatorial use of heterodimers made of duplicate transcription
factors.


title:
Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions:
  Wandzura-Wilczek contribution

abstract:
  The longitudinal-transverse spin asymmetry A_{LT} in the polarized Drell-Yan
process depends on the twist-3 spin-dependent distributions of nucleon. In
addition to the contributions expressed as matrix element of the twist-3
operators, these distributions contain the so-called Wandzura-Wilczek part,
which is completely determined by a certain integral of the twist-2
spin-dependent parton distributions. We demonstrate that the recently obtained
empirical information on the transversity distribution allows a realistic
estimate of the Wandzura-Wilczek contribution to A_{LT} for the case of
polarized proton-antiproton collisions. In particular, our results in the
Wandzura-Wilczek approximation indicate that rather large A_{LT} can be
observed in the proposed spin experiments at GSI, and its behavior as a
function of dilepton mass obeys novel pattern, compared with the other
double-spin asymmetries A_{TT} and A_{LL}. Our results provide a guide for
testing a signal of effects originating from the twist-3 operators associated
with quark-gluon correlation.


title: ENCORE: An Extended Contractor Renormalization algorithm

abstract:
  Contractor renormalization (CORE) is a real-space renormalization-group
method to derive effective Hamiltionians for microscopic models. The original
CORE method is based on a real-space decomposition of the lattice into small
blocks and the effective degrees of freedom on the lattice are tensor products
of those on the small blocks. We present an extension of the CORE method that
overcomes this restriction. Our generalization allows the application of CORE
to derive arbitrary effective models whose Hilbert space is not just a tensor
product of local degrees of freedom. The method is especially well suited to
search for microscopic models to emulate low-energy exotic models and can guide
the design of quantum devices.


title:
The $\mathbf{S}-\mathbf{D}$ mixing and di-electron widths of higher
  charmonium $\mathbf{1^{--}}$ states

abstract:
  The di-electron widths of $\psi(4040)$, $\psi(4160)$, and $\psi(4415)$, and
their ratios are shown to be in good agreement with experiment, if in all cases
the $S-D$ mixing with a large mixing angle $\theta\approx 34^\circ$ is taken.
Arguments are presented why continuum states give small contributions to the
wave functions at the origin. We find that the Y(4360) resonance, considered as
a pure $3 {}^3D_1$ state, would have very small di-electron width,
$\Gamma_{ee}(Y(4360))=0.060$ keV. On the contrary, for large mixing between the
$4 {}^3S_1$ and $3 {}^3D_1$ states with the mixing angle $\theta=34.8^\circ$,
$\Gamma_{ee}(\psi(4415))=0.57$ keV coincides with the experimental number,
while a second physical resonance, probably Y(4360), has also a rather large
$\Gamma_{ee} (Y(\sim 4400))=0.61$ keV. For the higher resonance Y(4660),
considered as a pure $5 {}^3S_1$ state, we predict the di-electron width
$\Gamma_{ee}(Y(4660))=0.70$ keV, but it becomes significantly smaller, namely
0.31 keV, if the mixing angle between the $5 {}^3S_1$ and $4 {}^3D_1$ states
$\theta=34^\circ$. The mass and di-electron width of the $6 {}^3S_1$ charmonium
state are calculated.


title: A nonparametric control chart based on the Mann-Whitney statistic

abstract:
  Nonparametric or distribution-free charts can be useful in statistical
process control problems when there is limited or lack of knowledge about the
underlying process distribution. In this paper, a phase II Shewhart-type chart
is considered for location, based on reference data from phase I analysis and
the well-known Mann-Whitney statistic. Control limits are computed using
Lugannani-Rice-saddlepoint, Edgeworth, and other approximations along with
Monte Carlo estimation. The derivations take account of estimation and the
dependence from the use of a reference sample. An illustrative numerical
example is presented. The in-control performance of the proposed chart is shown
to be much superior to the classical Shewhart $\bar{X}$ chart. Further
comparisons on the basis of some percentiles of the out-of-control conditional
run length distribution and the unconditional out-of-control ARL show that the
proposed chart is almost as good as the Shewhart $\bar{X}$ chart for the normal
distribution, but is more powerful for a heavy-tailed distribution such as the
Laplace, or for a skewed distribution such as the Gamma. Interactive software,
enabling a complete implementation of the chart, is made available on a
website.


title: Molecules in the Circumstellar Disk Orbiting BP Piscium

abstract:
  BP Psc is a puzzling late-type, emission-line field star with large infrared
excess. The star is encircled and enshrouded by a nearly edge-on, dust
circumstellar disk, and displays an extensive jet system similar to those
associated with pre-main sequence (pre-MS) stars. We conducted a mm-wave
molecular line survey of BP Psc with the 30 m telescope of the Institut de
Radio Astronomie Millimetrique (IRAM). We detected lines of 12CO and 13CO and,
possibly, very weak emission from HCO+ and CN; HCN, H2CO, and SiO are not
detected. The CO line profiles of BP Psc are well fit by a model invoking a
disk in Keplerian rotation. The mimumum disk gas mass, inferred from the 12CO
line intensity and 13CO/12CO line ratio, is ~0.1 Jupiter masses. The weakness
of HCO+ and CN (relative to 13CO) stands in sharp contrast to the strong HCO+
and CN emission that characterizes most low-mass, pre-main sequence stars that
have been the subjects of molecular emission-line surveys, and is suggestive of
a very low level of X-ray-induced molecular ionization within the BP Psc disk.
These results lend some support to the notion that BP Psc is an evolved star
whose circumstellar disk has its origins in a catastrophic interaction with a
close companion.


title:
XMM-Newton observations of CXOU J010043.1-721134: the first deep look at
  the soft X-ray emission of a magnetar

abstract:
  We present the analysis of six XMM-Newton observations of the Anomalous X-ray
Pulsar CXOU J010043.1-721134, the magnetar candidate characterized by the
lowest interstellar absorption. In contrast with all the other magnetar
candidates, its X-ray spectrum cannot be fit by an absorbed power-law plus
blackbody model. The sum of two (absorbed) blackbody components with kT1=0.30
keV and kT2=0.7 keV gives an acceptable fit, and the radii of the corresponding
blackbody emission regions are R1=12.1 km and R2=1.7 km. The former value is
consistent with emission from a large fraction of a neutron star surface and,
given the well known distance of CXOU J010043.1-721134, that is located in the
Small Magellanic Cloud, it provides the most constraining lower limit to a
magnetar radius ever obtained. A more physical model, where resonant cyclotron
scattering in the magnetar magnetosphere is taken into account, has also been
successfully applied to this source.


title: On the length of lemniscates

abstract:
  We show that for a monic polynomial p of degree d, the length of the level
set {z: |p(z)|=1} is at most 9.2 d, which improves an earlier estimate due to
P. Borwein. For d=2 we show that the extremal level set is the Bernoullis'
Lemniscate. One ingredient of our proofs is the fact that for an extremal
polynomial this level set is connected.


title: Unitarization of elastic amplitude on SO_mu(2.1) group

abstract:
  We obtain the solution of the unitarity equation for the elastic processes in
terms of the expansion coefficients of the amplitude as a function on the
SO_mu(2.1) group. This approach is a generalization of the eikonal
representation to the case of small impact parameters and large transverse
momenta. We show how the unitarity relation is modified when the contributions
of the backward scattering are taken into account. We discuss the simplest
models of the profile functions in the following cases: full reflection, full
absorption and the combination of these two cases.


title: Even and odd geometries on supermanifolds

abstract:
  We analyze from a general perspective all possible supersymmetric
generalizations of symplectic and metric structures on smooth manifolds. There
are two different types of structures according to the even/odd character of
the corresponding quadratic tensors. In general we can have even/odd symplectic
supermanifolds, Fedosov supermanifolds and Riemannian supermanifolds. The
geometry of even Fedosov supermanifolds is strongly constrained and has to be
flat. In the odd case, the scalar curvature is only constrained by Bianchi
identities. However, we show that odd Riemannian supermanifolds can only have
constant scalar curvature. We also point out that the supersymmetric
generalizations of AdS space do not exist in the odd case.


title:
Characterizing the Diversity of Dynamics in Complex Networks Without
  Border Effects

abstract:
  The importance of structured, complex connectivity patterns found in several
real-world systems is to a great extent related to their respective effects in
constraining and even defining the respective dynamics. Yet, while complex
networks have been comprehensively investigated along the last decade in terms
of their topological measurements, relatively less attention has been focused
on the characterization of the respective dynamics. Introduced recently, the
diversity entropy of complex systems can provide valuable information about the
respective possible unfolding of dynamics. In the case of self-avoiding random
walks, the situation assumed here, the diversity measurement allows one to
quantify in how many different places an agent may effectively arrive after a
given number of steps from its initial activity. Because this measurement is
highly affected by border effects frequently found as a consequence of network
sampling, it becomes critical to devise means for sound estimation of the
diversity without being affected by this type of artifacts. We describe such an
algorithm and illustrate its potential with respect to the characterization of
the self-avoiding random walk dynamics in two real-world networks, namely bone
canals and air transportation.


title: On Mass Spectrum in SQCD. Unequal quark masses

abstract:
  N=1 SQCD with N_c colors and two types of light quarks: N_l flavors with
smaller masses m_l and N_h=N_F-N_l flavors with larger masses m_h,
N_c<N_F<3N_c, 0<m_l \leq m_h \ll \Lambda, is considered within the dynamical
scenario in which quarks can form the coherent colorless diquark-condensate.
There are several phase states at different values of parameters r=m_l/m_h,
N_l, and N_F. Properties of these phases and the mass spectra therein are
described.


title: Regression rank scores in nonlinear models

abstract:
  Consider the nonlinear regression model $Y_i=g({\bf x}_i,\boldmath
$\theta$)+e_i,\quad i=1,...,n$(1) with ${\bf x}_i\in \mathbb{R}^k,$
$\boldmath{\theta}=(\theta_0,\theta_1,...,\theta_p)^{\prime}\in \boldmath
$\Theta$$ (compact in $\mathbb{R}^{p+1}$), where $g({\bf x},\boldmath
$\theta$)=\theta_0+\tilde{g}({\bf x},\theta_1,...,\theta_p)$ is continuous,
twice differentiable in $\boldmath $\theta$$ and monotone in components of
$\boldmath $\theta$$. Following Gutenbrunner and Jure\v{c}kov\'{a} (1992) and
Jure\v{c}kov\'{a} and Proch\'{a}zka (1994), we introduce regression rank scores
for model (1), and prove their asymptotic properties under some regularity
conditions. As an application, we propose some tests in nonlinear regression
models with nuisance parameters.


title:
Approximative two-flavor framework for neutrino oscillations with
  nonstandard interactions

abstract:
  In this paper, we develop approximative two-flavor neutrino oscillation
formulas including subleading nonstandard interaction effects. Especially, the
limit when the small mass-squared difference approaches zero is investigated.
The approximate formulas are also tested against numerical simulations in order
to determine their accuracy and they will probably be most useful in the GeV
energy region, which is the energy region where most upcoming neutrino
oscillation experiments will be operating. Naturally, it is important to have
analytical formulas in order to interpret the physics behind the degeneracies
between standard and nonstandard parameters.


title: Bs Mixing, DeltaGamma_s and CP Violation

abstract:
  We discuss the results from the Tevatron experiments on mixing and {\sf CP}
violation in the $B_s-\bar{B}_s^0$ system, with particular emphasis to the
first measurements of the decay width-difference $\Delta\Gamma_s$ and the {\sf
CP} violating phase $\beta_s$ using flavor tagging information. We also briefly
review the charge asymmetry measurements in semileptonic $B_s$ decays and in
$B^\pm \to J/\psi K^\pm$ decays.


title: Graph Algorithms for Improving Type-Logical Proof Search

abstract:
  Proof nets are a graph theoretical representation of proofs in various
fragments of type-logical grammar. In spite of this basis in graph theory,
there has been relatively little attention to the use of graph theoretic
algorithms for type-logical proof search. In this paper we will look at several
ways in which standard graph theoretic algorithms can be used to restrict the
search space. In particular, we will provide an O(n4) algorithm for selecting
an optimal axiom link at any stage in the proof search as well as a O(kn3)
algorithm for selecting the k best proof candidates.


title:
F-electron spectral function of the Falicov-Kimball model and the
  Wiener-Hopf sum equation approach

abstract:
  We derive an alternative representation for the $f$-electron spectral
function of the Falicov-Kimball model from the original one proposed by Brandt
and Urbanek. In the new representation, all calculations are restricted to the
real time axis, allowing us to go to arbitrarily low temperatures. The general
formula for the retarded Green's function involves two determinants of
continuous matrix operators that have the Toeplitz form. By employing the
Wiener-Hopf sum equation approach and Szeg\"o's theorem, we can derive exact
analytic formulas for the large-time limits of the Green's function; we
illustrate this for cases when the logarithm of characteristic function (which
defines the continuous Toeplitz matrix) does and does not wind around the
origin. We show how accurate these asymptotic formulas are to the exact
solutions found from extrapolating matrix calculations to the zero
discretization size limit.


title:
Chernoff-Savage and Hodges-Lehmann results for Wilks' test of
  multivariate independence

abstract:
  We extend to rank-based tests of multivariate independence the
Chernoff-Savage and Hodges-Lehmann classical univariate results. More
precisely, we show that the Taskinen, Kankainen and Oja (2004) normal-score
rank test for multivariate independence uniformly dominates -- in the Pitman
sense -- the classical Wilks (1935) test, which establishes the Pitman
non-admissibility of the latter, and provide, for any fixed space dimensions
$p,q$ of the marginals, the lower bound for the asymptotic relative efficiency,
still with respect to Wilks' test, of the Wilcoxon version of the same.


title: Stanley depth of complete intersection monomial ideals

abstract:
  We compute the Stanley depth of irreducible monomial ideals and we show that
the Stanley depth of a monomial complete intersection ideal is the same as the
Stanley depth of it's radical. Also, we give some bounds for the Stanley depth
of a monomial complete intersection ideal.


title: Surgery presentations of coloured knots and of their covering links

abstract:
  We consider knots equipped with a representation of their knot groups onto a
dihedral group D_{2n} (where n is odd). To each such knot there corresponds a
closed 3-manifold, the (irregular) dihedral branched covering space, with the
branching set over the knot forming a link in it. We report a variety of
results relating to the problem of passing from the initial data of a
D_{2n}-coloured knot to a surgery presentation of the corresponding branched
covering space and covering link. In particular, we describe effective
algorithms for constructing such presentations. A by-product of these
investigations is a proof of the conjecture that two D_{2n}-coloured knots are
related by a sequence of surgeries along unit-framed unknots in the kernel of
the representation if and only if they have the same coloured untying invariant
(a Z_{n}-valued algebraic invariant of D_{2n}-coloured knots).


title: Toward Fuzzy block theory

abstract:
  This study, fundamentals of fuzzy block theory, and its application in
assessment of stability in underground openings, has surveyed. Using fuzzy
topics and inserting them in to key block theory, in two ways, fundamentals of
fuzzy block theory has been presented. In indirect combining, by coupling of
adaptive Neuro Fuzzy Inference System (NFIS) and classic block theory, we could
extract possible damage parts around a tunnel. In direct solution, some
principles of block theory, by means of different fuzzy facets theory, were
rewritten.


title: Comment to ''On Anisotropic Dark Energy Stars''

abstract:
  The authors of the paper ''On Anisotropic Dark Energy Stars'',
arXiv:0803.2508 [gr-qc], consider the equations of state $p_r=\omega \rho$ and
$p_t=\omega \rho$, ignoring the fact that this implies an isotropic pressure,
which places strict restrictions on the values of $\omega$. The authors then
argue for an anisotropic pressure fluid throughout their work, and apply these
equations of state to the energy conditions, consequently obtaining incorrect
intervals for the parameter $\omega$. This procedure invalidates their
criticisms on the following paper: Class.Quant.Grav. 23, 1525 (2006).


title: Accurate estimator of correlations between asynchronous signals

abstract:
  The estimation of the correlation between time series is often hampered by
the asynchronicity of the signals. Cumulating data within a time window
suppresses this source of noise but weakens the statistics. We present a method
to estimate correlations without applying long time windows. We decompose the
correlations of data cumulated over a long window using decay of lagged
correlations as calculated from short window data. This increases the accuracy
of the estimated correlation significantly and decreases the necessary efforts
of calculations both in real and computer experiments.


title:
Aplicacion de la descomposicion racional univariada a monstrous
  moonshine (in Spanish)

abstract:
  This paper shows how to use Computational Algebra techniques, namely the
decomposition of rational functions in one variable, to explore a certain set
of modular functions, called replicable functions, that arise in Monstrous
Moonshine. In particular, we have computed all the rational relations with
coefficients in Z between pairs of replicable functions.
  -----
  En este articulo mostramos como usar tecnicas de Algebra Computacional,
concretamente la descomposcion de funciones racionales univariadas, para
estudiar un cierto conjunto de funciones modulares, llamadas funciones
replicables, que aparecen en Monstrous Moonshine. En concreto, hemos calculado
todas las relaciones racionales con coeficientes en Z entre pares de funciones
replicables.


title:
Current direction induced rectification effect on (integer) quantized
  Hall plateaus

abstract:
  Current polarization induced rectification of the quantized Hall plateaus
(QHPs) is studied within a Hartree type mean field approximation for
asymmetrically depleted samples. We first investigate the existence of the
current carrying incompressible strips (ISs), by solving the self-consistent
equations, and their influence on magneto-transport (MT) properties. Next, the
widths of the ISs are examined in terms of the steepness of the confining
potential profile considering gate defined Hall bars. The corresponding MT
coefficients are calculated using a local Ohm's law for a large fixed current
and are compared for symmetric and asymmetric depleted samples. We predict
that, the extend of the QHPs strongly depend on the current polarization, in
the out of linear response regime, when considering asymmetrically depleted
samples. Our results, concerning the extend of the QHPs depending on the
current polarization are in contrast to the ones of the conventional theories
of the integer quantized Hall effect (IQHE). We propose certain experimental
conditions to test our theoretical predictions at high mobility, narrow
samples.


title: Ext^1-quivers for the Witt algebra W(1,1)

abstract:
  Let g be the finite dimensional Witt algebra W(1,1) over an algebraically
closed field of characteristic p > 3. It is well known that all simple
W(1,1)-modules are finite dimensional. Each simple module admits a character
\chi in g^*. Given such a \chi one can form the (finite dimensional) reduced
enveloping algebra u(g,\chi). The simple modules for u(g,\chi) are precisely
those simple W(1,1)-modules admitting the character \chi. In this paper the
authors compute Ext^1 between pairs of simple modules for u(g,\chi).


title: Long-time extinction of solutions of some semilinear parabolic equations

abstract:
  We study the long time behaviour of solutions of semi-linear parabolic
equation of the following type $\partial_t u-\Delta u+a_0(x)u^q=0$ where
$a_0(x) \geq d_0 \exp(\frac{\omega(|x|)}{|x|^2})$, $d_0>0$, $1>q>0$ and
$\omega$ a positive continuous radial function. We give a Dini-like condition
on the function $\omega$ by two different method which implies that any
solution of the above equation vanishes in a finite time. The first one is a
variant of a local energy method and the second one is derived from
semi-classical limits of some Schr\"odinger operators.


title:
Subcritical instabilities in a convective fluid layer under a quasi-1D
  heating

abstract:
  The study and characterization of the diversity of spatiotemporal patterns
generated when a rectangular layer of fluid is locally heated beneath its free
surface is presented. We focus on the instability of a stationary cellular
pattern of wave number $k_s$ which undergoes a globally subcritical transition
to traveling waves by parity-breaking symmetry. The experimental results show
how the emerging traveling mode ($2/3k_{s}$) switches on a resonant triad
($k_s$, $k_s/2$, $2k_{s}/3$) within the cellular pattern yielding a ``mixed''
pattern. The nature of this transition is described quantitatively in terms of
the evolution of the fundamental modes by complex demodulation techniques. The
B\' enard-Marangoni convection accounts for the different dynamics depending on
the depth of the fluid layer and on the vertical temperature difference. The
existence of a hysteresis cycle has been evaluated quantitatively. When the
bifurcation to traveling waves is measured in the vicinity of the codimension-2
bifurcation point, we measure a decrease of the subcritical interval in which
the traveling mode becomes unstable. From the traveling wave state the system
under goes a {\it new} global secondary bifurcation to an alternating pattern
which doubles the wavelength ($k_{s}/2$) of the primary cellular pattern, this
result compares well with theoretical predictions [P. Coullet and G. Ioss, {\em
Phys. Rev. Lett.} {\bf 64}, 8 66 (1990)]. In this cascade of bifurcations
towards a defect dynamics, bistability due to the subcritical behavior of our
system is the reason for the coexistence of two different modulated patterns
connected by a front. These fronts are stationary for a finite interval of the
control parameters.


title: $U$-tests for variance components in one-way random effects models

abstract:
  We consider a test for the hypothesis that the within-treatment variance
component in a one-way random effects model is null. This test is based on a
decomposition of a $U$-statistic. Its asymptotic null distribution is derived
under the mild regularity condition that the second moment of the random
effects and the fourth moment of the within-treatment errors are finite. Under
the additional assumption that the fourth moment of the random effect is
finite, we also derive the distribution of the proposed $U$-test statistic
under a sequence of local alternative hypotheses. We report the results of a
simulation study conducted to compare the performance of the $U$-test with that
of the usual $F$-test. The main conclusions of the simulation study are that
(i) under normality or under moderate degrees of imbalance in the design, the
$F$-test behaves well when compared to the $U$-test, and (ii) when the
distribution of the random effects and within-treatment errors are nonnormal,
the $U$-test is preferable even when the number of treatments is small.


title: Current NuMI/MINOS Oscillation Results

abstract:
  The MINOS experiment is now making precise measurements of the nu_mu
disappearance oscillations seen in atmospheric neutrinos, and will extend our
reach towards the so far unseen theta_13 by looking for nu_e appearance in the
nu_mu beam. It does so by using the intense, well-understood NuMI neutrino beam
created at Fermilab and observing it 735 km away at the Soudan Mine in
Northeast Minnesota. Results from MINOS' first two years of operations will be
presented.


title:
Liquid-gas phase transition in nuclear matter from realistic many-body
  approaches

abstract:
  The existence of a liquid-gas phase transition for hot nuclear systems at
subsaturation densities is a well established prediction of finite temperature
nuclear many-body theory. In this paper, we discuss for the first time the
properties of such phase transition for homogeneous nuclear matter within the
Self-Consistent Green's Functions approach. We find a substantial decrease of
the critical temperature with respect to the Brueckner-Hartree-Fock
approximation. Even within the same approximation, the use of two different
realistic nucleon-nucleon interactions gives rise to large differences in the
properties of the critical point.


title:
The VIMOS-VLT Deep Survey: Dependence of galaxy clustering on stellar
  mass

abstract:
  We have investigated the dependence of galaxy clustering on their stellar
mass at z~1, using the data from the VIMOS-VLT Deep Survey (VVDS). We have
measured the projected two-point correlation function of galaxies, wp(rp) for a
set of stellar mass selected samples at an effective redshift <z>=0.85. We have
control and quantify all effects on galaxy clustering due to the incompleteness
of our low mass samples. We find that more massive galaxies are more clustered.
When compared to similar results at z~0.1 in the SDSS, we observed no evolution
of the projected correlation function for massive galaxies. These objects
present a stronger linear bias at z~1 with respect to low mass galaxies. As
expected, massive objects at high redshift are found in the highest pics of the
dark matter density field.


title: Chandra studies of the X-ray gas properties of galaxy groups

abstract:
  We present a systematic analysis of 43 galaxy groups (kT_500=0.7-2.7 keV or
M_500=10^13-10^14 h^-1 M_solar, 0.012<z<0.12), based on Chandra archival data.
With robust background subtraction and modeling, we trace gas properties to
>r_2500 for all 43 groups. For 23 groups, gas properties can be robustly
derived to or extrapolated to r_500. We show that in spite of the large
variation in T profiles inside 0.15 r_500, the T profiles of these groups are
similar at >0.15 r_500 and are consistent with a "universal temperature
profile". We present the entropy-T relations at six characteristics radii (30
kpc - r_500), for 43 groups from this work and 14 clusters from Vikhlinin et
al. (2008). Despite large scatter in the entropy values at <0.15 r_500, the
intrinsic scatter from r_2500 is much smaller and remains the same (~10%) to
r_500. We also present scaling relations for the gas fraction. It appears that
the average gas fraction between r_2500 and r_500 has no temperature
dependence, ~ 0.12 for 1 - 10 keV systems. The group gas fractions within
r_2500 are generally low and have large scatter. This work shows that the
difference of groups from hotter clusters stems from the difficulty of
compressing group gas to inside r_2500. The large scatter of the group gas
fraction within r_2500 causes large scatter in the group entropy around the
center and may be responsible for the large scatter of the luminosities.
Nevertheless, the groups appear more regular and more like clusters beyond
r_2500, from the results on gas fraction and entropy. Therefore, mass proxies
can be extended into low mass systems. The M-T and M-Y relations derived in
this work are indeed well behaved down to at least 2E13 h^-1 M_solar.


title:
Exact Effective action for (1+1)-dimensional fermions in an Abelian
  background at finite temperature and chemical potential

abstract:
  In this paper we study the effects of a nonzero chemical potential in the
effective action for massless fermions in (1+1) dimensions in an abelian gauge
field background at finite temperature. We calculate the n-point function and
show that the structure of the amplitudes corresponds to a generalization of
the structure noted earlier in a calculation without a chemical potential (the
associated integrals carry the dependence on the chemical potential). Our
calculation shows that the chiral anomaly is unaffected by the presence of a
chemical potential at finite temperature. However, unlike the earlier
calculation (in the absence of a chemical potential) odd point functions do not
vanish. We trace this to the fact that in the presence of a chemical potential
the generalized charge conjugation symmetry of the theory allows for such
amplitudes. In fact, we find that all the even point functions are even
functions of the chemical potential while the odd point functions are odd
functions of it which is consistent with this generalized charge conjugation
symmetry. We show that the origin of the structure of the amplitudes is best
seen from a formulation of the theory in terms of left and right handed
spinors. The calculations are also much simpler in this formulation and it
clarifies many other aspects of the theory.


title: On the Simes inequality and its generalization

abstract:
  The Simes inequality has received considerable attention recently because of
its close connection to some important multiple hypothesis testing procedures.
We revisit in this article an old result on this inequality to clarify and
strengthen it and a recently proposed generalization of it to offer an
alternative simpler proof.


title: Rotation profiles of solar-like stars with magnetic fields

abstract:
  The aim of this work is to investigate rotation profile of solar-like stars
with magnetic fields. A diffusion coefficient of magnetic angular momentum
transport is deduced. Rotating stellar models with different mass are computed
under the effect of the coefficient. Then rotation profiles are obtained from
the theoretical stellar models. The total angular momentum of solar model with
only hydrodynamic instabilities is about 13 times larger than that of the Sun
at the age of the Sun, and this model can not reproduce quasi-solid rotation in
the radiative region. However, not only can the solar model with magnetic
fields reproduce an almost uniform rotation in the radiative region, but its
total angular momentum is consistent with helioseismic result at the level of 3
$\sigma$ at the age of the Sun. The rotation of solar-like stars with magnetic
fields is almost uniform in the radiative region. But there is an obvious
transition region of angular velocity between the convective core and the
radiative region of models with 1.2 - 1.5 $M_{\odot}$, where angular velocity
has a sharp radial change, which is different from the rotation profile of the
Sun and massive stars with magnetic fields. Moreover the changes of the angular
velocity in the transition region increase with the increasing in the age and
mass.


title: A multilateral filtering method applied to airplane runway image

abstract:
  By considering the features of the airport runway image filtering, an
improved bilateral filtering method was proposed which can remove noise with
edge preserving. Firstly the steerable filtering decomposition is used to
calculate the sub-band parameters of 4 orients, and the texture feature matrix
is then obtained from the sub-band local median energy. The texture similar,
the spatial closer and the color similar functions are used to filter the
image.The effect of the weighting function parameters is qualitatively analyzed
also. In contrast with the standard bilateral filter and the simulation results
for the real airport runway image show that the multilateral filtering is more
effective than the standard bilateral filtering.


title: A valid and fast spatial bootstrap for correlation functions

abstract:
  In this paper, we examine the validity of non-parametric spatial bootstrap as
a procedure to quantify errors in estimates of N-point correlation functions.
We do this by means of a small simulation study with simple point process
models and estimating the two-point correlation functions and their errors. The
coverage of confidence intervals obtained using bootstrap is compared with
those obtained from assuming Poisson errors. The bootstrap procedure considered
here is adapted for use with spatial (i.e. dependent) data. In particular, we
describe a marked point bootstrap where, instead of resampling points or blocks
of points, we resample marks assigned to the data points. These marks are
numerical values that are based on the statistic of interest. We describe how
the marks are defined for the two- and three-point correlation functions. By
resampling marks, the bootstrap samples retain more of the dependence structure
present in the data. Furthermore, this method of bootstrap can be performed
much quicker than some other bootstrap methods for spatial data, making it a
more practical method with large datasets. We find that with clustered point
datasets, confidence intervals obtained using the marked point bootstrap has
empirical coverage closer to the nominal level than the confidence intervals
obtained using Poisson errors. The bootstrap errors were also found to be
closer to the true errors for the clustered point datasets.


title:
Observed Bimodality of the Einstein Crossing Times of Galactic
  Microlensing Events

abstract:
  The OGLE data$^1$ for Einstein ring crossing times, $t_E$, for microlensing
events toward the galactic bulge are analyzed. The analysis shows that the
crossing times are bimodal, indicating that two populations of lenses could be
responsible for observed microlensing events. Given the possibility that
microlensing in this direction can be due to both main-sequence stars and white
dwarfs, we analyze and show that the observed bimodality of $t_E$ can be
derived from the accepted density distributions of both populations. Our
Kolmogorov-Smirnov (KS) one sample test shows that that a white dwarf
population of about $25% $ of all stars in the galaxy agrees well with the
observed bimodality with a KS significance level greater than 97%.


title: Composition-Diamond lemma for differential algebras

abstract:
  In this paper, we establish the Composition-Diamond lemma for free
differential algebras. As applications, we give Groebner-Shirshov bases for
free Lie-differential algebra and free commutative-differential algebra,
respectively.


title: Multiple testing procedures under confounding

abstract:
  While multiple testing procedures have been the focus of much statistical
research, an important facet of the problem is how to deal with possible
confounding. Procedures have been developed by authors in genetics and
statistics. In this chapter, we relate these proposals. We propose two new
multiple testing approaches within this framework. The first combines
sensitivity analysis methods with false discovery rate estimation procedures.
The second involves construction of shrinkage estimators that utilize the
mixture model for multiple testing. The procedures are illustrated with
applications to a gene expression profiling experiment in prostate cancer.


title:
Dynamical Theory of Artificial Optical Magnetism Produced by Rings of
  Plasmonic Nanoparticles

abstract:
  We present a detailed analytical theory for the plasmonic nanoring
configuration first proposed in [A. Alu, A. Salandrino, N. Engheta, Opt. Expr.
14, 1557 (2006)], which is shown to provide negative magnetic permeability and
negative index of refraction at infrared and optical frequencies. We show
analytically how the nanoring configuration may provide superior performance
when compared to some other solutions for optical negative index materials,
offering a more 'pure' magnetic response at these high frequencies, which is
necessary for lowering the effects of radiation losses and absorption.
Sensitivity to losses and the bandwidth of operation of this magnetic inclusion
are also investigated in details and compared with other available setups.


title: Why supersymmetry should be restored at the TeV scale

abstract:
  It is explained why the curvature associated to the vacuum energy density
arising from SUSY breaking cannot be completely transferred to the extra
spatial dimensions of a bulk space-time manifold, and it is shown -- without
using hierarchy arguments but only the results of current large-scale
observations -- why the Tev scale should correspond to the maximal allowed
SUSY-breaking scale.


title: Computing the fixing group of a rational function

abstract:
  Let G=Aut_K (K(x)) be the Galois group of the transcendental degree one pure
field extension K(x)/K. In this paper we describe polynomial time algorithms
for computing the field Fix(H) fixed by a subgroup H < G and for computing the
fixing group G_f of a rational function f in K(x).


title: Shaping Planetary Nebulae by Light Jets

abstract:
  We conduct numerical simulations of axisymmetrical jets expanding into a
spherical AGB slow wind. The three-dimensional flow is simulated with an
axially symmetric numerical code. We concentrate on jets that are active for a
relatively short time. Our results strengthen other studies that show that jets
can account for many morphological features observed in planetary nebulae
(PNs). Our main results are as follows. (1) With a single jet's launching
episode we can reproduce a lobe structure having a `front-lobe', i.e., a small
bulge on the front of the main lobe, such as that in the PN Mz~3. (2) In some
runs dense clumps are formed along the symmetry axis, such as those observed in
the pre-PN M1-92. (3) The mass loss history of the slow wind has a profound
influence on the PN structure. (4) A dense expanding torus (ring; disk) is
formed in most of our runs. The torus is formed from the inflated lobes, and
not from a separate equatorial mass loss episode. (5) The torus and lobes are
formed at the same time and from the same mass loss rate episode. However, when
the slow wind density is steep enough, the ratio of the distance divided by the
radial velocity is larger for regions closer to the equatorial plane than for
regions closer to the symmetry axis. (6) With the short jet-active phase a
linear relation between distance and expansion velocity is obtained in many
cases. (7) Regions at the front of the lobe are moving sufficiently fast to
excite some visible emission lines.


title:
Towards variance-matrix characterization of complementarity relations in
  a continuous variable system

abstract:
  We discuss complementarity relations in a bipartite continuous variable
system. Building up from the work done on discrete d-dimensional systems, we
prove that for symmetric two-mode states, quantum complementarity relations can
be put in a simple relation with the elements of the variance matrix. When this
condition is not satisfied, such a connection becomes non-trivial. Our
investigation is the first step towards an operative characterization of the
complementarity in a scenario that has not been investigated so far.


title: Is there a pion-Lambda-nucleon bound state?

abstract:
  We have searched for bound states in the pion-Lambda-nucleon system by
solving the nonrelativistic Faddeev equations, as well as a relativistic
version, with input separable pion-nucleon, pion-Lambda, and Lambda-nucleon
interactions. A bound-state solution, driven by the Delta(1232) and Sigma(1385)
p-wave meson-baryon resonances, was found in the channel (I,JP)=(3/2,2+),
provided the Lambda lab momentum at which the Lambda-nucleon S=1,L=0,J=1 phase
shift becomes negative is larger than about 750-800 MeV/c. Other strange and
charmed pion-baryon-baryon systems that might have bound states of a similar
nature are listed.


title: New HKT manifolds arising from quaternionic representations

abstract:
  We give a procedure for constructing an $8n$-dimensional HKT Lie algebra
starting from a $4n$-dimensional one by using a quaternionic representation of
the latter. The strong (respectively, weak, hyper-K\"ahler, balanced) condition
is preserved by our construction. As an application of our results we obtain a
new compact HKT manifold with holonomy in $SL(n,\Bbb H)$ which is not a
nilmanifold. We find in addition new compact strong HKT manifolds.
  We also show that every K\"ahler Lie algebra equipped with a flat,
torsion-free complex connection gives rise to an HKT Lie algebra. We apply this
method to two distinguished 4-dimensional K\"ahler Lie algebras, thereby
obtaining two conformally balanced HKT metrics in dimension 8.
  Both techniques prove to be an effective tool for giving the explicit
expression of the corresponding HKT metrics.


title:
Thickness dependent magnetic anisotropy of ultrathin LCMO epitaxial thin
  films

abstract:
  The magnetic properties of La0.7Ca0.3MnO3 (LCMO) manganite thin films were
studied with magnetometry and ferromagnetic resonance as a function of film
thickness. They maintain the colossal magnetoresistance behavior with a
pronounced metal-insulator transition around 150-200 K, except for the very
thinnest films studied (3 nm). Nevertheless, LCMO films as thin as 3 nm remain
ferromagnetic, without a decrease in saturation magnetization, indicating an
absence of dead-layers, although below approx. 6 nm the films remain insulating
at low temperature. Magnetization hysteresis loops reveal that the magnetic
easy axes lie in the plane of the film for thicknesses in the range of 4-15 nm.
Ferromagnetic resonance studies confirm that the easy axes are in-plane, and
find a biaxial symmetry in-plane with two, perpendicular easy axes. The
directions of the easy axes with respect to the crystallographic directions of
the cubic SrTiO3 substrate differ by 45 degrees in 4 nm and 15 nm thick LCMO
films.


title:
Spitzer Mid-infrared Study of Compact HII Regions in the Magellanic
  Clouds

abstract:
  We present a study of the mid-infrared properties and dust content of a
sample of 27 HII ``blobs'', a rare class of compact HII regions in the
Magellanic Clouds. A unique feature of this sample is that even though these
HII regions are of high and low excitation they have nearly the same physical
sizes ~1.5-3 pc. We base our analysis on archival 3-8 microns infrared imagery
obtained with the Infrared Array Camera (IRAC) on board the Spitzer Space
Telescope. We find that despite their youth, sub-solar metallicity and varied
degrees of excitation, the mid-infrared colors of these regions are similar to
those of typical HII regions. Higher excitation ``blobs'' (HEBs) display
stronger 8 micron emission and redder colors than their low-excitation
counterparts (LEBs).


title:
Unirational fields of transcendence degree one and functional
  decomposition

abstract:
  In this paper we present an algorithm to compute all unirational fields of
transcendence degree one containing a given finite set of multivariate rational
functions. In particular, we provide an algorithm to decompose a multivariate
rational function f of the form f=g(h), where g is a univariate rational
function and h a multivariate one.


title:
A possible mechanism of concurring diagonal and off-diagonal long-range
  order for soft interactions

abstract:
  This paper is a contribution to the theory of coherent crystals. We present
arguments claiming that negative minima in the Fourier transform of a soft pair
interaction may give rise to the coexistence of diagonal and off-diagonal
long-range order at high densities, and that this coexistence may be detectable
due to a periodicity seen on the off-diagonal part of the one-body reduced
density matrix, without breaking translation invariance. As an illustration, we
study the ground state of a homogenous system of bosons in continuous space,
from the interaction retaining only the Fourier modes $v(\k)$ belonging to a
single nonzero wave number $|\k|=q$. The result is a mean-field model. We prove
that for $v(\k)>0$ the ground state is asymptotically fully Bose-condensed,
while for $v(\k)<0$ at densities exceeding a multiple of $\hbar^2
q^2/2m|v(\k)|$ it exhibits both Bose-Einstein condensation and diagonal
long-range order, and the latter can be seen on both the one- and the two-body
density matrix.


title: Stochastic expansions and Hopf algebras

abstract:
  We study solutions to nonlinear stochastic differential systems driven by a
multi-dimensional Wiener process. A useful algorithm for strongly simulating
such stochastic systems is the Castell--Gaines method, which is based on the
exponential Lie series. When the diffusion vector fields commute, it has been
proved that at low orders this method is more accurate in the mean-square error
than corresponding stochastic Taylor methods. However it has also been shown
that when the diffusion vector fields do not commute, this is not true for
strong order one methods. Here we prove that when there is no drift, and the
diffusion vector fields do not commute, the exponential Lie series is usurped
by the sinh-log series. In other words, the mean-square error associated with a
numerical method based on the sinh-log series, is always smaller than the
corresponding stochastic Taylor error, in fact to all orders. Our proof
utilizes the underlying Hopf algebra structure of these series, and a
two-alphabet associative algebra of shuffle and concatenation operations. We
illustrate the benefits of the proposed series in numerical studies.


title: The birth and death of organic molecules in protoplanetary disks

abstract:
  The most intriguing question related to the chemical evolution of
protoplanetary disks is the genesis of pre-biotic organic molecules in the
planet-forming zone. In this contribution we briefly review current
observational knowledge of physical structure and chemical composition of disks
and discuss whether organic molecules can be present in large amounts at the
verge of planet formation. We predict that some molecules, including CO-bearing
species such as H$_2$CO, can be underabundant in inner regions of accreting
protoplanetary disks around low-mass stars due to the high-energy stellar
radiation and chemical processing on dust grain surfaces. These theoretical
predictions are further compared with high-resolution observational data and
the limitations of current models are discussed.


title:
Single-particle motion at large distances in 2N+core cluster systems
  near the drip line: a challenge for nuclear theory and experiment

abstract:
  There exists a class of nuclei that are obtained by adding one nucleon to a
loosely-bound nucleon-core system, for example $^{12}$Be, $^9$C, $^{18}$Ne. For
such nuclei, one-nucleon overlap integrals that represent single-particle
motion can strongly differ from the standard ones due to the correlations
between the two nucleons above the core. The possible non-standard overlap
behaviour should be included in the interpretation of the experimental data
derived from one nucleon removal reactions such as knockout, transfer and
breakup, as well as the predictions of low-energy nucleon capture that leads to
these nuclei. We investigate the non-standard behaviour within a three-body
model and discuss the challenges associated with this problem.


title:
Varying the Universality of Supersymmetry-Breaking Contributions to MSSM
  Higgs Boson Masses

abstract:
  We consider the minimal supersymmetric extension of the Standard Model (MSSM)
with varying amounts of non-universality in the soft supersymmetry-breaking
contributions to the Higgs scalar masses. In addition to the constrained MSSM
(CMSSM) in which these are universal with the soft supersymmetry-breaking
contributions to the squark and slepton masses at the input GUT scale, we
consider scenarios in which both the Higgs scalar masses are non-universal by
the same amount (NUHM1), and scenarios in which they are independently
non-universal (NUHM2). We show how the NUHM1 scenarios generalize the (m_{1/2},
m_0) planes of the CMSSM by allowing either mu or m_A to take different (fixed)
values and we also show how the NUHM1 scenarios are embedded as special cases
of the more general NUHM2 scenarios. Generalizing from the CMSSM, we find
regions of the NUHM1 parameter space that are excluded because the LSP is a
selectron. We also find new regions where the neutralino relic density falls
within the range preferred by astrophysical and cosmological measurements,
thanks to rapid annihilation through direct-channel Higgs poles, or
coannihilation with selectrons, or because the LSP composition crosses over
from being mainly bino to mainly Higgsino. Generalizing further to the NUHM2,
we find regions of its parameter space where a sneutrino is the LSP, and others
where neutralino coannihilation with sneutrinos is important for the relic
density. In both the NUHM1 and the NUHM2, there are slivers of parameter space
where the LHC has fewer prospects for discovering sparticles than in the CMSSM,
because either m_{1/2} and/or m_0 may be considerably larger than in the CMSSM.


title:
Final-State Interactions in the Superscaling Analysis of Neutral-Current
  Quasielastic Neutrino Scattering

abstract:
  Effects of strong final-state interactions in the superscaling properties of
neutral-current quasielastic neutrino cross sections are investigated using the
Relativistic Impulse Approximation as guidance. First- and second-kind scaling
are analyzed for neutrino beam energies ranging from 1 to 2 GeV for the cases
of 12C, 16O and 40Ca. Different detection angles of the outgoing nucleon are
considered in order to sample various nucleon energy regimes. Scaling of the
second kind is shown to be very robust. Validity of first-kind scaling is found
to be linked to the kinematics of the process. Superscaling still prevails even
in the presence of very strong final-state interactions, provided that some
kinematical restrains are kept, and the conditions under which superscaling can
be applied to predict neutral-current quasielastic neutrino scattering are
determined.


title: Superscars in billiards -- A model for doorway states in quantum spectra

abstract:
  In a unifying way, the doorway mechanism explains spectral properties in a
rich variety of open mesoscopic quantum systems, ranging from atoms to nuclei.
A distinct state and a background of other states couple to each other which
sensitively affects the strength function. The recently measured superscars in
the barrier billiard provide an ideal model for an in--depth investigation of
this mechanism. We introduce two new statistical observables, the full
distribution of the maximum coupling coefficient to the doorway and directed
spatial correlators. Using Random Matrix Theory and random plane waves, we
obtain a consistent understanding of the experimental data.


title:
Spin polarizations and spin Hall currents in a two-dimensional electron
  gas with magnetic impurities

abstract:
  We consider a two-dimensional electron gas in the presence of Rashba
spin-orbit coupling, and study the effects of magnetic s-wave impurities and
long-range non-magnetic disorder on the spin-charge dynamics of the system. We
focus on voltage induced spin polarizations and their relation to spin Hall
currents. Our results are obtained using the quasiclassical Green function
technique, and hold in the full range of the disorder parameter $\alpha
p_F\tau$.


title:
Two-loop graviton scattering relation and IR behavior in N=8
  supergravity

abstract:
  We derive an ABDK-like relation between the one- and two-loop four-graviton
amplitudes in N=8 supergravity. Specifically we show that the infrared
divergent part of the two-loop amplitude is one-half the square of the one-loop
amplitude, suggesting an exponential structure for IR divergences. The
difference between the two-loop amplitude and one-half the square of the full
one-loop amplitude is therefore finite, and expressible in a relatively simple
form. We give arguments for generalizations to higher loops and n-point
functions, suggesting that the exponential of the full one-loop amplitude may
be corrected, to low orders, by only simple finite terms.


title: A Fast Algorithm for Stallings' Folding Process

abstract:
  We show that for a fixed free group F and an arbitrary finitely generated
subgroup H (as given above) we can perform the Stalling's folding process in
time O(N log^*(N)), where N is the sum of the word lengths of the given
generators of H.


title: Superfluidity of Helium-3

abstract:
  This article presents a phenomenological dynamic phase transition theory --
modeling and analysis -- for liquid helium-3. We derived two new models, for
liquid helium-3 with or without applied field, by introducing three wave
functions and using a unified dynamical Ginzburg-Landau model. The analysis of
these new models leads to predictions of existence of 1) a unstable region, 2)
a new phase C in a narrow region, and 3) switch points of transition types on
the coexistence curves near two triple points. It is hoped that these
predictions will be useful for designing better physical experiments and lead
to better understanding of the physical mechanism of superfluidity.


title: Top Mass and Properties

abstract:
  The top quark was discovered in 1995. The top quark mass is now well measured
at the Tevatron, with uncertainty getting below 1% of the top mass. The world
average from last year was 170.9 $\pm$ 1.8 GeV/$c^2$. The new CDF measurement
is 172 $\pm$ 1.2 (stat) $\pm$ 1.5 (sys) GeV/$c^2$, and D0 will soon present a
new measurement. The top quark mass is an important parameter in the Standard
Model, and should be measured as precisely as possible. To learn more about the
top quark observed and study possible new physics, other properties also should
be measured. At the Tevatron, the charge of the top quark can be measured
directly. Examples of other properties studied and reported in this
presentation are W helicity, top decay branching ratio to b ($R_b$), searches
for $t \to H b$ and for flavor changing neutral current (FCNC). The results are
all consistent with the Standard Model within current statistics. With
significantly more data being collected at the Tevatron, precision measurements
of the top properties are just starting.


title:
Reciprocal transformations and local Hamiltonian structures of
  hydrodynamic type systems

abstract:
  We start from a hyperbolic DN hydrodynamic type system of dimension $n$ which
possesses Riemann invariants and we settle the necessary conditions on the
conservation laws in the reciprocal transformation so that, after such a
transformation of the independent variables, one of the metrics associated to
the initial system be flat. We prove the following statement: let $n\ge 3$ in
the case of reciprocal transformations of a single independent variable or
$n\ge 5$ in the case of transformations of both the independent variable; then
the reciprocal metric may be flat only if the conservation laws in the
transformation are linear combinations of the canonical densities of
conservation laws, {\it i.e} the Casimirs, the momentum and the Hamiltonian
densities associated to the Hamiltonian operator for the initial metric. Then,
we restrict ourselves to the case in which the initial metric is either flat or
of constant curvature and we classify the reciprocal transformations of one or
both the independent variables so that the reciprocal metric is flat. Such
characterization has an interesting geometric interpretation: the hypersurfaces
of two diagonalizable DN systems of dimension $n\ge 5$ are Lie equivalent if
and only if the corresponding local hamiltonian structures are related by a
canonical reciprocal transformation.


title:
Coexistence of Quantum Theory and Special Relativity in signaling
  scenarios

abstract:
  The coexistence between Quantum Mechanics and Special Relativity is usually
formulated in terms of the no-signaling condition. Several authors have even
suggested that this condition should be included between the basic postulates
of Quantum Theory. However, there are several scenarios where signaling is, in
principle, possible: based on previous results and the analysis of the relation
between unitarity and signaling we present an example of a two-particle
interferometric arrangement for which the dynamics is, in principle, compatible
with superluminal transmission of information. This type of non-locality is not
in the line of Bell's theorem, but closer in spirit to the one-particle
acausality studied by Hegerfeldt and others. We analyze in this paper the
meaning of this non-locality and how to preserve the coexistence of the two
fundamental theories in this signaling scenario.


title: The geodesic rule for higher codimensional global defects

abstract:
  We generalize the geodesic rule to the case of formation of higher
codimensional global defects. Relying on energetic arguments, we argue that,
for such defects, the geometric structures of interest are the totally geodesic
submanifolds. On the other hand, stochastic arguments lead to a diffusion
equation approach, from which the geodesic rule is deduced. It turns out that
the most appropriate geometric structure that one should consider is the convex
hull of the values of the order parameter on the causal volumes whose collision
gives rise to the defect. We explain why these two approaches lead to similar
results when calculating the density of global defects by using a theorem of
Cheeger and Gromoll. We present a computation of the probability of formation
of strings/vortices in the case of a system, such as nematic liquid crystals,
whose vacuum is $\mathbb{R}P^2$.


title: Quantum Boltzmann equations in resonant leptogenesis

abstract:
  The quantum Boltzmann equations relevant for leptogenesis, obtained using
non-equilibrium quantum field theory, are described. They manifest memory
effects leading to a time-dependent CP asymmetry which depends upon the
previous history of the system. This result is particularly relevant in
resonant leptogenesis where the asymmetry is generated by the decays of nearly
mass-degenerate right-handed neutrinos. The impact of the non-trivial time
evolution of the CP asymmetry is discussed either in the generic resonant
leptogenesis scenario or in the more specific Minimal Lepton Flavour Violation
framework. Significant quantitative differences arise with respect to the usual
approach in which the time dependence of the CP asymmetry is neglected.


title: The three-point function of planar quadrangulations

abstract:
  We compute the generating function of random planar quadrangulations with
three marked vertices at prescribed pairwise distances. In the scaling limit of
large quadrangulations, this discrete three-point function converges to a
simple universal scaling function, which is the continuous three-point function
of pure 2D quantum gravity. We give explicit expressions for this universal
three-point function both in the grand-canonical and canonical ensembles.
Various limiting regimes are studied when some of the distances become large or
small. By considering the case where the marked vertices are aligned, we also
obtain the probability law for the number of geodesic points, namely vertices
that lie on a geodesic path between two given vertices, and at prescribed
distances from these vertices.


title: Comparative study of Rare Gas-H$_2$ triatomic complexes

abstract:
  This paper presents a comparative analysis of complexes made of one Rare Gas
(Rg) atom and molecular hydrogen, for all five stable Rg atoms. In particular,
the vibrational band origins have been calculated, as well as the structural
properties of the associated wavefunctions. The study is extended to cold
Rg-H$_2$ scattering. The molecular systems are studied variationally using a
very simple, yet effective, trial wavefunction. A large number of Potential
Energy Surfaces available from the literature is considered. A comparative
analysis shows that differences of up to two orders of magnitude exist for the
zero energy elastic cross sections of the five complexes. Corrections to the
model have also been considered, showing no significant effect.


title: Properties of A Class of Topological Phase Transition

abstract:
  The properties of a class of topological quantum phase transition (TQPT) are
analyzed based on a model proposed by Haldane. We study the effect of finite
temperature on this phase transition. We have found that finite temperature
would drive this TQPT to be a crossover, while it is stable against the weak
short range interaction. When the interaction is strong enough, however, this
TQPT is unstable and other states would emerge. Then we investigate the effect
of the on-site energy in the original haldane model. The critical difference
between our TQPT and the topological phase transition in conventional quantum
Hall system is discussed. Finally, we discuss the potential application of our
analysis to a topological phase transition proposed in a realistic system.


title: Clearing the Dust from Globular Clusters

abstract:
  Recent Spitzer observations of the globular cluster M15 detected dust
associated with its intracluster medium. Surprisingly, these observations imply
that the dust must be very short-lived compared to the time since the last
Galactic plane crossing of the cluster.Here we propose a simple mechanism to
explain this short lifetime. We argue that the kinetic energy of the material
ejected during a stellar collision may be sufficient to remove the gas and dust
entirely from a cluster, or to remove the gas as a wind, in addition to
partially destroying the dust. By calculating the rate of stellar collisions
using an N-body model for the cluster, we find remarkable agreement between the
average time between collisions and the inferred dust lifetime in this cluster,
suggesting a possible close relation between the two phenomena. Furthermore, we
also obtain the birthrate of blue stragglers formed through collisions in M15.
By comparing with the observed number of blue stragglers, we derive an upper
limit for their average lifetime which turns out to be consistent with recent
model calculations, thereby lending further support to our model.


title:
B-Physics Observables and Electroweak Precision Data in the CMSSM, mGMSB
  and mAMSB

abstract:
  We explore electroweak precision observables (EWPO) and $B$-physics
observables (BPO) in the CMSSM, the mGMSB and the mAMSB. We perform a chi^2
analysis based on the combination of current EWPO and BPO data. For the first
time this allows the comparison of the mGMSB and mAMSB in terms of EWPO and BPO
with the CMSSM. We find that relatively low mass scales in all three scenarios
are favored. However, the current data from EWPO and BPO can hardly exclude any
parameters at the level of Delta chi^2 = 9. Remarkably the mAMSB scenario,
despite having one free GUT scale parameter less than the other two scenarios,
has a somewhat lower total minimum chi^2. We present predictions for the
lightest Higgs boson mass, based on the chi^2 analysis of current data, where
relatively good compatibility with the bounds from Higgs searches at LEP is
found. We also present the predictions for other Higgs sector parameters and
SUSY mass scales, allowing to compare the reach of the LHC and the ILC in the
three scenarios. We furthermore explore the future sensitivities of the EWPO
and BPO for the current best-fit results and for a hypothetical point with
somewhat higher mass scales that results in a similar Higgs and SUSY spectrum
in the three scenarios. We find that the future improvement of the accuracy of
the EWPO and BPO will lead to a significant gain in the indirect parameter
determination. The improvement is similar in the CMSSM, mGMSB and mAMSB and
will yield constraints to the parameter space even for heavy Higgs and SUSY
mass scales.


title:
Statistical Physics of Dark and Normal Matter Distribution in Galaxy
  Formation : Dark Matter Lumps and Black Holes in Core and Halo of Galaxy

abstract:
  In unified field theory the cosmological model of the universe has
supersymmetric fields. Supersymmetric particles as dark and normal matter in
galaxy clusters have a phase separation. Dark matter in halos have a
statistical physics equation of state. Neutralino particle gas with gravitation
can have a collapse of dark matter lumps. A condensate phase due to boson
creation by annhillation and exchange can occur at high densities. The collapse
of the boson condensate, including neutralinos, into the Schwarzschild radius
creates dark matter black holes. Microscopic dark matter black holes can
evaporate with Hawking effect giving gamma ray bursts and create a spectrum of
normal particles. The phase separation of normal and dark matter in galaxy
clusters and inside galaxies is given by statistical physics.


title: Compact anti-self-dual orbifolds with torus actions

abstract:
  We give a classification of toric anti-self-dual conformal structures on
compact 4-orbifolds with positive Euler characteristic. Our proof is twistor
theoretic: the interaction between the complex torus orbits in the twistor
space and the twistor lines induces meromorphic data, which we use to recover
the conformal structure. A compact anti-self-dual orbifold can also be
constructed by adding a point at infinity to an asymptotically locally
Euclidean (ALE) scalar-flat K\"ahler orbifold. We use this observation to
classify ALE scalar-flat K\"ahler 4-orbifolds whose isometry group contain a
2-torus.


title: An optimization problem on the sphere

abstract:
  We prove existence and uniqueness of the minimizer for the average geodesic
distance to the points of a geodesically convex set on the sphere. This implies
a corresponding existence and uniqueness result for an optimal algorithm for
halfspace learning, when data and target functions are drawn from the uniform
distribution.


title: Delta F = 1 Constraints on Minimal Flavor Violation

abstract:
  We present an updated phenomenological analysis of the minimal flavor
violating (MFV) effective theory, both at small and large tan beta, in the
sector of Delta F=1 processes. We evaluate the bounds on the scale of new
physics derived from recent measurements (in particular from B to Xs gamma, B
to Xs l+ l-, Bs to mu+ mu- and K to pi nu bar nu) and we use such bounds to
derive a series of model-independent predictions within MFV for future
experimental searches in the flavor sector.


title: Polarized light bursts from kicked quantum rings

abstract:
  Non-equilibrium quantum rings emit circular polarized subterahertz radiation
with a polarization degree controllable on nano- to picosecond time scales.
This we conclude using a theory developed here for the time-dependent detection
of the circular polarization of polychromatic radiations, valid for time scales
comparable to the reciprocal of characteristic emission frequencies. The theory
is applied to driven quantum rings whereby the influence of radiative and
non-radiative processes on the properties of the emitted light is incorporated.


title: New Results on Leptonic B meson decays at BaBar

abstract:
  We present selected new results on leptonic B meson decays from the BaBar
experiment: searches for the decays B0->l+l-, B+->l+nu and B0->l+tau-, and
B->Knunubar, where l=e or mu. The decay modes imply also their charge
conjugations. We observe no evidence for these decays and set upper limits on
their branching fractions.


title:
LSST: from Science Drivers to Reference Design and Anticipated Data
  Products

abstract:
  (Abridged) We describe here the most ambitious survey currently planned in
the optical, the Large Synoptic Survey Telescope (LSST). A vast array of
science will be enabled by a single wide-deep-fast sky survey, and LSST will
have unique survey capability in the faint time domain. The LSST design is
driven by four main science themes: probing dark energy and dark matter, taking
an inventory of the Solar System, exploring the transient optical sky, and
mapping the Milky Way. LSST will be a wide-field ground-based system sited at
Cerro Pach\'{o}n in northern Chile. The telescope will have an 8.4 m (6.5 m
effective) primary mirror, a 9.6 deg$^2$ field of view, and a 3.2 Gigapixel
camera. The standard observing sequence will consist of pairs of 15-second
exposures in a given field, with two such visits in each pointing in a given
night. With these repeats, the LSST system is capable of imaging about 10,000
square degrees of sky in a single filter in three nights. The typical 5$\sigma$
point-source depth in a single visit in $r$ will be $\sim 24.5$ (AB). The
project is in the construction phase and will begin regular survey operations
by 2022. The survey area will be contained within 30,000 deg$^2$ with
$\delta<+34.5^\circ$, and will be imaged multiple times in six bands, $ugrizy$,
covering the wavelength range 320--1050 nm. About 90\% of the observing time
will be devoted to a deep-wide-fast survey mode which will uniformly observe a
18,000 deg$^2$ region about 800 times (summed over all six bands) during the
anticipated 10 years of operations, and yield a coadded map to $r\sim27.5$. The
remaining 10\% of the observing time will be allocated to projects such as a
Very Deep and Fast time domain survey. The goal is to make LSST data products,
including a relational database of about 32 trillion observations of 40 billion
objects, available to the public and scientists around the world.


title:
Reduction of CCD observations obtained with the Fabry-Perot scanning
  interferometer. II. Additional Procedures

abstract:
  We describe a software package used at the Special Astrophysical Observatory
of the Russian Academy of Sciences to reduce and analyze the data obtained with
the Fabry-Perot scanning interferometer. We already described most of the
algorithms employed in our earlier Paper I (Moiseev, 2002). In this paper we
focus on extra procedures required in the case of the use of a high-resolution
Fabry-Perot interferometer: removal of ghosts and measurement of the velocity
dispersion of ionized gas in galactic and extragalactic objects.


title: A Kernel Method for the Two-Sample Problem

abstract:
  We propose a framework for analyzing and comparing distributions, allowing us
to design statistical tests to determine if two samples are drawn from
different distributions. Our test statistic is the largest difference in
expectations over functions in the unit ball of a reproducing kernel Hilbert
space (RKHS). We present two tests based on large deviation bounds for the test
statistic, while a third is based on the asymptotic distribution of this
statistic. The test statistic can be computed in quadratic time, although
efficient linear time approximations are available. Several classical metrics
on distributions are recovered when the function space used to compute the
difference in expectations is allowed to be more general (eg. a Banach space).
We apply our two-sample tests to a variety of problems, including attribute
matching for databases using the Hungarian marriage method, where they perform
strongly. Excellent performance is also obtained when comparing distributions
over graphs, for which these are the first such tests.


title: Reweighting towards the chiral limit

abstract:
  We propose to perform fully dynamical simulations at small quark masses by
reweighting in the quark mass. This approach avoids some of the technical
difficulties associated with direct simulations at very small quark masses. We
calculate the weight factors stochastically, using determinant breakup and low
mode projection to reduce the statistical fluctuations. We find that the weight
factors fluctuate only moderately on nHYP smeared dynamical Wilson-clover
ensembles, and we could successfully reweight 16^4, (1.85fm)^4 volume
configurations from m_q = 20MeV to m_q = 5MeV quark masses, reaching the
epsilon-regime. We illustrate the strength of the method by calculating the low
energy constant F from the epsilon-regime pseudo-scalar correlator.


title:
Quantitative Evaluation of Decoherence and Applications for Quantum-Dot
  Charge Qubits

abstract:
  We review results on evaluation of loss of information in quantum registers
due to their interactions with the environment. It is demonstrated that an
optimal measure of the level of quantum noise effects can be introduced via the
maximal absolute eigenvalue norm of deviation of the density matrix of a
quantum register from that of ideal, noiseless dynamics. For a semiconductor
quantum dot charge qubits interacting with acoustic phonons, explicit
expressions for this measure are derived. For a broad class of environmental
modes, this measure is shown to have the property that for small levels of
quantum noise it is additive and scales linearly with the size of the quantum
register.


title:
Processed Splitting Algorithms for Rigid-Body Molecular Dynamics
  Simulations

abstract:
  A new approach for integration of motion in many-body systems of interacting
polyatomic molecules is proposed. It is based on splitting time propagation of
pseudo-variables in a modified phase space, while the real translational and
orientational coordinates are decoded by processing transformations. This
allows to overcome the barrier on the order of precision of the integration at
a given number of force-torque evaluations per time step. Testing in dynamics
of water versus previous methods shows that the obtained algorithms
significantly improve the accuracy of the simulations without extra
computational costs.


title: X-ray photons from late-decaying majoron dark matter

abstract:
  An attractive way to generate neutrino masses as required to account for
current neutrino oscillation data involves the spontaneous breaking of lepton
number. The resulting majoron may pick up a mass due to gravity. If its mass
lies in the kilovolt scale, the majoron can play the role of late-decaying Dark
Matter (LDDM), decaying mainly to neutrinos. In general the majoron has also a
sub-dominant decay to two photons leading to a mono-energetic emission line
which can be used as a test of the LDDM scenario. We compare expected photon
emission rates with observations in order to obtain model independent
restrictions on the relevant parameters. We also illustrate the resulting
sensitivities within an explicit seesaw realisation, where the majoron couples
to photons due to the presence of a Higgs triplet.


title: Exotic Statistics for Ordinary Particles in Quantum Gravity

abstract:
  Objects exhibiting statistics other than the familiar Bose and Fermi ones are
natural in theories with topologically nontrivial objects including geons,
strings, and black holes. It is argued here from several viewpoints that the
statistics of ordinary particles with which we are already familiar are likely
to be modified due to quantum gravity effects. In particular, such
modifications are argued to be present in loop quantum gravity and in any
theory which represents spacetime in a fundamentally piecewise-linear fashion.
The appearance of unusual statistics may be a generic feature (such as the
deformed position-momentum uncertainty relations and the appearance of a
fundamental length scale) which are to be expected in any theory of quantum
gravity, and which could be testable.


title:
Electron Capture Strength for {60,62}Ni and
  {58,60,62,64}Ni(p,n){58,60,62,64}Cu reactions at 134.3 MeV

abstract:
  Background: The strength of electron capture for medium mass nuclei has a
significant effect on the evolution of supernovae. There is insufficient
knowledge of these strengths and very little data for important radioactive
nuclei. Purpose: Determine whether it is feasible to obtain EC strength from
studies of T_o+1 excitations in (p,n) reactions, and whether this might yield
information for radioactive nuclei. Methods: Cross sections for the
{58,60,62,64}Ni(p,n){58,60,62,64}Cu reactions were measured over the angular
range of 0.3 deg to 11.6 deg at 134.3 MeV using the IUCF neutron time-of-flight
facility. esults: The T_o+1 excitations in {60,62}Ni were identified by
comparison with inelastic proton scattering spectra, their B(GT) were
extracted, and the corresponding electron capture rates in supernovae were
calculated. Data from the TRIUMF (n,p) experiments at 198 MeV were reanalyzed;
the electron capture rates for the reanalyzed data are in moderately good
agreement with the higher resolution (p,n) results, but differ in detail. The
possibility of future measurements with radioactive nuclei was considered.
Conclusions: It is possible to determine electron capturestrength from (p,n)
experiments. This approach may make it possible to obtain electron capture
strength for radioactive nuclei by studying (p,n) reactions in inverse
kinematics.


title:
Stability of Thermohaline circulation with respect to fresh water
  release

abstract:
  The relatively warm climate found in the North- Western Europe is due to the
gulf stream that circulates warm saline water from southern latitudes to
Europe. In North Atlantic ocean the stream gives out a large amount of heat,
cools down and sinks to the bottom to complete the Thermohaline circulation.
There is considerable debate on the stability of the stream to inputs of fresh
water from the melting ice in Greenland and Arctic. The circulation, being
switched off, will have massive impact on the climate of Europe.
Intergovernmental panel on climate change (IPCC) has warned of this danger in
its recent report. Our aim is to model the Thermohaline circulation at the
point where it sinks in the North-Atlantic. We create a two dimensional
discrete map modeling the salinity gradient and vertical velocity of the
stream. We look for how a perturbation in the form of fresh water release can
destabilise the circulation by pushing the velocity below a certain threshold.


title: On the Spectrum of geometric operators on K\"ahler manifolds

abstract:
  On a compact K\"ahler manifold there is a canonical action of a
Lie-superalgebra on the space of differential forms. It is generated by the
differentials, the Lefschetz operator and the adjoints of these operators. We
determine the asymptotic distribution of irreducible representations of this
Lie-superalgebra on the eigenspaces of the Laplace-Beltrami operator. Because
of the high degree of symmetry the Laplace-Beltrami operator on forms can not
be quantum ergodic. We show that after taking these symmetries into account
quantum ergodicity holds for the Laplace-Beltrami operator and for the
Spin^c-Dirac operators if the unitary frame flow is ergodic. The assumptions
for our theorem are known to be satisfied for instance for negatively curved
K\"ahler manifolds of odd complex dimension.


title: Noncommutative geometry and dual coalgebras

abstract:
  In arXiv:math/0606241v2 M. Kontsevich and Y. Soibelman argue that the
category of noncommutative (thin) schemes is equivalent to the category of
coalgebras. We propose that under this correspondence the affine scheme of a
k-algebra A is the dual coalgebra A^o and draw some consequences. In
particular, we describe the dual coalgebra A^o of A in terms of the A-infinity
structure on the Yoneda-space of all the simple finite dimensional
A-representations.


title: Microquasars: summary and outlook

abstract:
  Microquasars are compact objects (stellar-mass black holes and neutron stars)
that mimic, on a smaller scale, many of the phenomena seen in quasars. Their
discovery provided new insights into the physics of relativistic jets observed
elsewhere in the universe, and in particular, the accretion-jet coupling in
black holes. Microquasars are opening new horizons for the understanding of
ultraluminous X-ray sources observed in external galaxies, gamma-ray bursts of
long duration, and the origin of stellar black holes and neutron stars.
Microquasars are one of the best laboratories to probe General Relativity in
the limit of the strongest gravitational fields, and as such, have become an
area of topical interest for both high energy physics and astrophysics. At
present, back hole astrophysics exhibits historical and epistemological
similarities with the origins of stellar astrophysics in the last century.


title: Linear code-based vector quantization for independent random variables

abstract:
  In this paper we analyze the rate-distortion function R(D) achievable using
linear codes over GF(q), where q is a prime number.


title:
Fermi-gas interpretation of the RSOS path representation of the
  superconformal unitary minimal models

abstract:
  We derive new finitized fermionic characters for the superconformal unitary
minimal models by interpreting the RSOS configuration sums as fermi-gas
partition functions. This extends to the supersymmetric case the method
introduced by Warnaar for the Virasoro unitary mimimal models. The key point in
this construction is the proper identification of fermi-type charged particles
in terms of the path's peaks. For this, an instrumental preliminary step is the
adaptation to the superconformal case of the operator description of the usual
RSOS paths introduced recently.


title:
A twelve-image gravitational lens system in the z ~ 0.84 cluster Cl
  J0152.7-1357

abstract:
  Gravitational lens modeling is presented for the first discovered example of
a three-component source for which each component is quadruply imaged. The lens
is a massive galaxy member of the cluster Cl J0152.7-1357 at z ~ 0.84. Taking
advantage of this exceptional configuration and of the excellent angular
resolution of the HST/ACS, we measure the properties of the lens. Several
parametric macroscopic models were developed for the lens galaxy, starting from
pointlike to extended image models. For a lens model in terms of a singular
isothermal sphere with external shear, the Einstein radius is found to be R_{E}
= (9.54 +/- 0.15) kpc. The external shear points to the cluster's northern mass
peak. The unknown redshift of the source is determined to be higher than 1.9
and lower than 2.9. Our estimate of the lensing projected total mass inside the
Einstein radius, M_{len}(R < 9.54 kpc), depends on the source distance and lies
between 4.6 and 6.2 x 10^{11} M_{Sun}. This result turns out to be compatible
with the dynamical estimate based on an isothermal model. By considering the
constraint on the stellar mass-to-light ratio that comes from the evolution of
the Fundamental Plane, we can exclude the possibility that at more than 4 sigma
level the total mass enclosed inside the Einstein ring is only luminous matter.
Moreover, the photometric-stellar mass measurement within the Einstein radius
gives a minimum value of 50% (1 sigma) for the dark-to-total matter fraction.
The lensing analysis has allowed us to investigate the distribution of mass of
the deflector, also providing some interesting indications on scales that are
larger and smaller than the Einstein radius of the lens galaxy. The combination
of different diagnostics has proved to be essential in determining quantities
that otherwise would have not been directly measurable with the current data.


title: Search for new physics in photon and jet final states

abstract:
  Results from the CDF and D0 collaborations from searches of physics beyond
the standard model are presented in reactions involving high transverse
momentum photons or jets in their final states.


title:
Probabilistic representation for solutions of an irregular porous media
  type equation

abstract:
  We consider a porous media type equation over all of $\R^d$ with $d = 1$,
with monotone discontinuous coefficients with linear growth and prove a
probabilistic representation of its solution in terms of an associated
microscopic diffusion. This equation is motivated by some singular behaviour
arising in complex self-organized critical systems. One of the main analytic
ingredients of the proof, is a new result on uniqueness of distributional
solutions of a linear PDE on $\R^1$ with non-continuous coefficients.


title: Current status of the CLIO project

abstract:
  CLIO (Cryogenic Laser Interferometer Observatory) is a Japanese gravitational
wave detector project. One of the main purposes of CLIO is to demonstrate
thermal-noise suppression by cooling mirrors for a future Japanese project,
LCGT (Large-scale Cryogenic Gravitational Telescope). The CLIO site is in
Kamioka mine, as is LCGT. The progress of CLIO between 2005 and 2007 (room- and
cryogenic-temperature experiments) is introduced in this article. In a
room-temperature experiment, we made efforts to improve the sensitivity. The
current best sensitivity at 300 K is about $6 \times 10^{-21} /\sqrt{\rm Hz}$
around 400 Hz. Below 20 Hz, the strain (not displacement) sensitivity is
comparable to that of LIGO, although the baselines of CLIO are 40-times shorter
(CLIO: 100m, LIGO: 4km). This is because seismic noise is extremely small in
Kamioka mine. We operated the interferometer at room temperature for
gravitational wave observations. We obtained 86 hours of data. In the cryogenic
experiment, it was confirmed that the mirrors were sufficiently cooled (14 K).
However, we found that the radiation shield ducts transferred 300K radiation
into the cryostat more effectively than we had expected. We observed that noise
caused by pure aluminum wires to suspend a mirror was suppressed by cooling the
mirror.


title: Parametric instabilities in the LCGT arm cavity

abstract:
  We evaluated the parametric instabilities of LCGT (Japanese interferometric
gravitational wave detector project) arm cavity. The number of unstable modes
of LCGT is 10-times smaller than that of Advanced LIGO (U.S.A.). Since the
strength of the instabilities of LCGT depends on the mirror curvature more
weakly than that of Advanced LIGO, the requirement of the mirror curvature
accuracy is easier to be achieved. The difference in the parametric
instabilities between LCGT and Advanced LIGO is because of the thermal noise
reduction methods (LCGT, cooling sapphire mirrors; Advanced LIGO, fused silica
mirrors with larger laser beams), which are the main strategies of the
projects. Elastic Q reduction by the barrel surface (0.2 mm thickness
Ta$_2$O$_5$) coating is effective to suppress instabilities in the LCGT arm
cavity. Therefore, the cryogenic interferometer is a smart solution for the
parametric instabilities in addition to thermal noise and thermal lensing.


title: Integer program with bimodular matrix

abstract: This paper has been accepted for publication in Discrete Optimization.


title:
Effect of energy deposited by cosmic-ray particles on interferometric
  gravitational wave detectors

abstract:
  We investigated the noise of interferometric gravitational wave detectors due
to heat energy deposited by cosmic-ray particles. We derived a general formula
that describes the response of a mirror against a cosmic-ray passage. We found
that there are differences in the comic-ray responses (the dependence of
temperature and cosmic-ray track position) in cases of interferometric and
resonant gravitational wave detectors. The power spectral density of vibrations
caused by low-energy secondary muons is 100-times smaller than the goal
sensitivity of future second-generation interferometer projects, such as LCGT
and Advanced LIGO. The arrival frequency of high-energy cosmic-ray muons that
generate enough large showers inside mirrors of LCGT and Advanced LIGO is one
per a millennium. We also discuss the probability of exotic-particle detection
with interferometers.


title: Fractional Quantum Hall States in Graphene

abstract:
  We quantum mechanically analyze the fractional quantum Hall effect in
graphene. This will be done by building the corresponding states in terms of a
potential governing the interactions and discussing other issues. More
precisely, we consider a system of particles in the presence of an external
magnetic field and take into account of a specific interaction that captures
the basic features of the Laughlin series \nu={1\over 2l+1}. We show that how
its Laughlin potential can be generalized to deal with the composite fermions
in graphene. To give a concrete example, we consider the SU(N) wavefunctions
and give a realization of the composite fermion filling factor. All these
results will be obtained by generalizing the mapping between the
Pauli--Schr\"odinger and Dirac Hamiltonian's to the interacting particle case.
Meantime by making use of a gauge transformation, we establish a relation
between the free and interacting Dirac operators. This shows that the involved
interaction can actually be generated from a singular gauge transformation.

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


title:
Upper critical fields well above 100 T for the superconductor
  SmFeAsO$_{0.85}$F$_{0.15}$ with T$_c$ = 46 K

abstract:
  We report specific heat measurements at magnetic fields up to 20 T on the
recently discovered superconductor SmFeAsO$_{0.85}$F$_{0.15}$. The B-T diagram
of a polycrystalline SmFeAsO$_{0.85}$F$_{0.15}$ sample with T$_c$ = 46 K was
investigated. The temperature dependence of B$_{c2}$ was extracted from the
specific heat curves, the corresponding B$_{c2}$(T = 0) value derived from the
Werthamer-Helfand-Hohenberg formula being 150 T. Based on magnetization
measurements up to 9 T, a first estimation of the field dependence of the
inductive critical current J$_c$ is given. Evidence for granularity is found.
The presence of a peak effect is reported, suggesting a crossover in the vortex
dynamics, in analogy to the behaviour observed in high T$_c$ cuprates.


title:
Ineffectiveness of Pad\'e resummation techniques in post-Newtonian
  approximations

abstract:
  We test the resummation techniques used in developing Pad\'e and Effective
One Body (EOB) waveforms for gravitational wave detection. Convergence tests
show that Pad\'e approximants of the gravitational wave energy flux do not
accelerate the convergence of the standard Taylor approximants even in the test
mass limit, and there is no reason why Pad\'e transformations should help in
estimating parameters better in data analysis. Moreover, adding a pole to the
flux seems unnecessary in the construction of these Pad\'e-approximated flux
formulas. Pad\'e approximants may be useful in suggesting the form of fitting
formulas. We compare a 15-orbit numerical waveform of the Caltech-Cornell group
to the suggested Pad\'e waveforms of Damour et al. in the equal mass,
nonspinning quasi-circular case. The comparison suggests that the Pad\'e
waveforms do not agree better with the numerical waveform than the standard
Taylor based waveforms. Based on this result, we design a simple EOB model by
modifiying the ET EOB model of Buonanno et al., using the Taylor series of the
flux with an unknown parameter at the fourth post-Newtonian order that we fit
for. This simple EOB model generates a waveform having a phase difference of
only 0.002 radians with the numerical waveform, much smaller than 0.04 radians
the phase uncertainty in the numerical data itself. An EOB Hamiltonian can make
use of a Pad\'e transformation in its construction, but this is the only place
Pad\'e transformations seem useful.


title: Consistency restrictions on maximal electric field strength in QFT

abstract:
  QFT with an external background can be considered as a consistent model only
if backreaction is relatively small with respect to the background. To find the
corresponding consistency restrictions on an external electric field and its
duration in QED and QCD, we analyze the mean energy density of quantized fields
for an arbitrary constant electric field E, acting during a large but finite
time T. Using the corresponding asymptotics with respect to the dimensionless
parameter $eET^2$, one can see that the leading contributions to the energy are
due to the creation of paticles by the electric field. Assuming that these
contributions are small in comparison with the energy density of the electric
background, we establish the above-mentioned restrictions, which determine, in
fact, the time scales from above of depletion of an electric field due to the
backreaction


title: D-decays with unquenched Lattice QCD

abstract:
  We discuss the recent progress in computing the D-meson decay constant and
D->pi l nu form factors from the lattice QCD simulations with Nf=2 dynamical
using Wilson quarks. We report fD=201(20)MeV and F+(1GeV^2)/fD=4.04(78)GeV^-1
at a=0.08fm.