title: Distance Geometry in Quasihypermetric Spaces. III

abstract:
  Let $(X, d)$ be a compact metric space and let $\mathcal{M}(X)$ denote the
space of all finite signed Borel measures on $X$. Define $I \colon
\mathcal{M}(X) \to \R$ by \[ I(\mu) = \int_X \int_X d(x,y) d\mu(x) d\mu(y), \]
and set $M(X) = \sup I(\mu)$, where $\mu$ ranges over the collection of signed
measures in $\mathcal{M}(X)$ of total mass 1. This paper, with two earlier
papers [Peter Nickolas and Reinhard Wolf, Distance geometry in quasihypermetric
spaces. I and II], investigates the geometric constant $M(X)$ and its
relationship to the metric properties of $X$ and the functional-analytic
properties of a certain subspace of $\mathcal{M}(X)$ when equipped with a
natural semi-inner product. Specifically, this paper explores links between the
properties of $M(X)$ and metric embeddings of $X$, and the properties of $M(X)$
when $X$ is a finite metric space.


title:
Analysis of the Holzmann-Chevallier-Krauth theory for the trapped
  quasi-two-dimensional Bose gas

abstract:
  We provide an in depth analysis of the theory proposed by Holzmann,
Chevallier and Krauth (HCK) [Europhys. Lett., {\bf 82}, 30001 (2008)] for
predicting the temperature at which the Berezinskii-Kosterlitz-Thouless (BKT)
transition to a superfluid state occurs in the harmonically trapped
quasi-two-dimensional (2D) Bose gas. Their theory is based on a meanfield model
of the system density and we show that the HCK predictions change appreciably
when an improved meanfield theory and identification of the transition point is
used. In this analysis we develop a consistent theory that provides a lower
bound for the BKT transition temperature in the trapped quasi-2D Bose gas.


title: Group-case commutative association schemes and their character tables

abstract:
  Leading towards the classification of primitive commutative association
schemes as the ultimate goal, Bannai and some of his school have been trying to
  * identify the major sources of (primitive) commutative association schemes,
  * collect known group-case primitive commutative association schemes, and
  * compute their character tables over the last twenty years. The construction
of their character tables are important first step for a systematic study of
such association schemes and towards the classification of those schemes. In
this talk, we briefly survey the progress made in this direction of research,
and list some open problems.


title:
Entangling two superconducting LC coherent modes via a superconducting
  flux qubit

abstract:
  Based on a pure solid-state device consisting of two superconducting LC
circuits coupled to a superconducting flux qubit, we propose in this paper that
the maximally entangled coherent states of the two LC modes can be generated
for arbitrary coherent states through flux qubit controls.


title:
The HARPS search for southern extra-solar planets: XIV. Gl 176b, a
  super-Earth rather than a Neptune, and at a different period

abstract:
  A 10.24 days Neptune-mass planet was recently announced to orbit the nearby
M2 dwarf Gl 176, based on 28 radial velocities measured with the HRS
spectrograph on the Hobby-Heberly Telescope (HET). We obtained 57 radial
velocities of Gl 176 with the ESO 3.6m telescope and the HARPS spectrograph,
which is known for its sub-m/s stability. The median photon-noise standard
error of our measurements is 1.1 m/s, significantly lower than the 4.7 m/s of
the HET velocities, and the 4 years period over which they were obtained has
much overlap with the epochs of the HET measurements. The HARPS measurements
show no evidence for a signal at the period of the putative HET planet,
suggesting that its detection was spurious. We do find, on the other hand,
strong evidence for a lower mass 8.4 Mearth planet, in a quasi-circular orbit
and at the different period of 8.78 days. The host star has moderate magnetic
activity and rotates on a 39-days period, which we confirm through modulation
of both contemporaneous photometry and chromospheric indices. We detect that
period as well in the radial velocities, but it is well removed from the
orbital period and no cause for confusion. This new detection of a super-Earth
(2 Mearth < M sin(i) < 10 Mearth) around an M dwarf adds to the growing
evidence that such planets are common around very low mass stars: a third of
the 20 known planets with M sin(i) < 0.1 Mjup and 3 of the 7 known planets with
M sin(i) < 10 Mearth orbit an M dwarf, in contrast to just 4 of the ~300 known
Jupiter-mass planets.


title:
$B_d-\bar{B}_d$ mixing vs. $B_s-\bar{B}_s$ mixing with the anomalous
  $Wtb$ couplings

abstract:
  We explore the effects of the anomalous $tbW$ couplings on the $\bd$ mixing
and recently measured $\bs$ mixing. The combined analysis of mixings via box
diagrams with penguin decays provides strong constraints on the anomalous top
quark couplings. We find the bound from the $\bd$ mixing data is stronger than
that from the $\bs$ mixing.


title:
Remarks on counting negative eigenvalues of Schr\"odinger operator on
  regular metric trees

abstract:
  We discuss estimates on the number $N_-(\alpha)$ of negative eigenvalues of
the Schr\"odinger operator $-\Delta-\alpha V$ on regular metric trees, as
depending on the properties of the potential $V\ge 0$ and on the value of the
large parameter $\alpha$. We obtain conditions on $V$ guaranteeing the behavior
$N_-(\alpha)=O(\alpha^p)$ for any given $p\ge 1/2$. For a special class of
trees we show that these conditions are not only sufficient but also necessary.
For $p>1/2$ the order-sharp estimates involve a (quasi-)norm of $V$ in some
`weak' $L_p$- or $\ell_p(L_1)$-space. We show that the results can be easily
derived from the ones of an earlier paper by Naimark and the author, Proc.
London Math. Soc. (3) 80 (2000), 690-724.
  The results considerably improve the estimates found in the recent paper by
Ekholm, Frank, and Kova\v{r}\'{i}k, arXive:0710.5500.


title:
Proposition of the Interactive Pareto Iterated Local Search Procedure -
  Elements and Initial Experiments

abstract:
  The article presents an approach to interactively solve multi-objective
optimization problems. While the identification of efficient solutions is
supported by computational intelligence techniques on the basis of local
search, the search is directed by partial preference information obtained from
the decision maker.
  An application of the approach to biobjective portfolio optimization, modeled
as the well-known knapsack problem, is reported, and experimental results are
reported for benchmark instances taken from the literature. In brief, we obtain
encouraging results that show the applicability of the approach to the
described problem.


title:
Imaging the Molecular Gas in a z=3.9 Quasar Host Galaxy at 0.3"
  Resolution: A Central, Sub-Kiloparsec Scale Star Formation Reservoir in APM
  08279+5255

abstract:
  We have mapped the molecular gas content in the host galaxy of the strongly
lensed high redshift quasar APM 08279+5255 (z=3.911) with the Very Large Array
at 0.3" resolution. The CO(J=1-0) emission is clearly resolved in our maps. The
CO(J=1-0) line luminosity derived from these maps is in good agreement with a
previous single-dish measurement. In contrast to previous interferometer-based
studies, we find that the full molecular gas reservoir is situated in two
compact peaks separated by <~0.4". Our observations reveal, for the first time,
that the emission from cold molecular gas is virtually cospatial with the
optical/near-infrared continuum emission of the central AGN in this source.
This striking similarity in morphology indicates that the molecular gas is
situated in a compact region close to the AGN. Based on the high resolution CO
maps, we present a revised model for the gravitational lensing in this system,
which indicates that the molecular gas emission is magnified by only a factor
of 4 (in contrast to previously suggested factors of 100). This model suggests
that the CO is situated in a circumnuclear disk of ~550 pc radius that is
possibly seen at an inclination of <~25 deg, i.e., relatively close to face-on.
  From the CO luminosity, we derive a molecular gas mass of M_gas=1.3x10^11
M_sun for this galaxy. From the CO structure and linewidth, we derive a
dynamical mass of M_dyn(sin i)^2=4.0x10^10 M_sun. Based on a revised mass
estimate for the central black hole of M_BH=2.3x10^10 M_sun and the results of
our molecular line study, we find that the mass of the stellar bulge of APM
08279+5255 falls short of the local M_BH-sigma_bulge relationship of nearby
galaxies by more than an order of magnitude, lending support to recent
suggestions that this relation may evolve with cosmic time and/or change toward
the high mass end.


title:
Bin Packing Under Multiple Objectives - a Heuristic Approximation
  Approach

abstract:
  The article proposes a heuristic approximation approach to the bin packing
problem under multiple objectives. In addition to the traditional objective of
minimizing the number of bins, the heterogeneousness of the elements in each
bin is minimized, leading to a biobjective formulation of the problem with a
tradeoff between the number of bins and their heterogeneousness. An extension
of the Best-Fit approximation algorithm is presented to solve the problem.
Experimental investigations have been carried out on benchmark instances of
different size, ranging from 100 to 1000 items. Encouraging results have been
obtained, showing the applicability of the heuristic approach to the described
problem.


title: Emission of Terahertz Radiation from SiC

abstract:
  We report the emission of strong coherent broadband terahertz radiation from
6H-Silicon-Carbide (SiC) excited with optical pulses. The measured terahertz
spectral signal-to-noise ratio is better than one thousand. We determine that
the terahertz radiation is generated via second order optical nonlinearity
(optical rectification). We present a measurement of the ratio of nonlinear
susceptibility tensor elements $\chi_{zzz}^{(2)}/\chi_{zxx}^{(2)}$ and the
complex index of refraction of silicon carbide at THz frequencies.


title:
An application of the Threshold Accepting metaheuristic for curriculum
  based course timetabling

abstract:
  The article presents a local search approach for the solution of timetabling
problems in general, with a particular implementation for competition track 3
of the International Timetabling Competition 2007 (ITC 2007). The heuristic
search procedure is based on Threshold Accepting to overcome local optima. A
stochastic neighborhood is proposed and implemented, randomly removing and
reassigning events from the current solution.
  The overall concept has been incrementally obtained from a series of
experiments, which we describe in each (sub)section of the paper. In result, we
successfully derived a potential candidate solution approach for the finals of
track 3 of the ITC 2007.


title: Regulation mechanisms in spatial stochastic development models

abstract:
  The aim of this paper is to analyze different regulation mechanisms in
spatial continuous stochastic development models. We describe the density
behavior for models with global mortality and local establishment rates. We
prove that the local self-regulation via a competition mechanism (density
dependent mortality) may suppress a unbounded growth of the averaged density if
the competition kernel is superstable.


title: Properties of anisotropic magnetic impurities on surfaces

abstract:
  Using numerical renormalization group techniques, we study static and dynamic
properties of a family of single-channel Kondo impurity models with axial
magnetic anisotropy $DS_z^2$ terms; such models are appropriate to describe
magnetic impurity atoms adsorbed on non-magnetic surfaces, which may exhibit
surface Kondo effect. We show that for positive anisotropy $D$ and for any spin
$S$, the systems behave at low temperatures as regular Fermi liquids with fully
compensated impurity spin. The approach to the stable fixed point depends on
the value of the spin $S$ and on the ratio $D/T_K^{(0)}$, where $T_K^{(0)}$ is
the Kondo temperature in the absence of the anisotropy. For S=1, the screening
occurs in two stages if $D<T_K^{(0)}$; the second Kondo temperature is
exponentially reduced in this case. More generally, there is an effective
spin-1/2 Kondo effect for any integer $S$ if $D<T_K^{(0)}$ and for any
half-integer $S$ if $D>T_K^{(0)}$. For negative anisotropy $D$, the system is a
non-Fermi liquid with residual anisotropic exchange interaction. However, the
presence of transverse magnetic anisotropy $E(S_x^2-S_y^2)$ restores
Fermi-liquid behavior in real systems.


title: High-energy electron observations by PPB-BETS flight in Antarctica

abstract:
  We have observed cosmic-ray electrons from 10 GeV to 800 GeV by a long
duration balloon flight using Polar Patrol Balloon (PPB) in Antarctica. The
observation was carried out for 13 days at an average altitude of 35 km in
January 2004. The detector is an imaging calorimeter composed of
scintillating-fiber belts and plastic scintillators inserted between lead
plates with 9 radiation lengths. The performance of the detector has been
confirmed by the CERN-SPS beam test and also investigated by Monte-Carlo
simulations. New telemetry system using a commercial satellite of Iridium,
power supply by solar batteries, and automatic level control using CPU have
successfully been developed and operated during the flight. From the long
duration balloon observations, we derived the energy spectrum of cosmic-ray
electrons in the energy range from 100 GeV to 800 GeV. In addition, for the
first time we derived the electron arrival directions above 100 GeV, which is
consistent with the isotropic distribution.


title:
Resummation approach in Fractional APT: How many loops do we need to
  calculate?

abstract:
  We give a short introduction to the Analytic Perturbation Theory (APT) in
QCD, discuss its problems and how they can be resolved in Fractional APT
(FAPT), and give a brief report about taking into account heavy-quark
thresholds in FAPT. Then we describe the resummation approach in the one-loop
APT and FAPT, which produces finite answers in both Euclidean and Minkowski
regions, provided the generating function P(t) of perturbative coefficients d_n
is known. We consider its applications in estimations of the width of Higgs
boson decay H^0\to b\bar{b} and of the Adler function D(Q^2) and the ratio R(s)
in the N_f=4 region. In order to provide numerical answers we suggest very
simple factorially growing models for perturbative coefficients d_n. We see
that for the case of Higgs boson decay an accuracy of the order of 1% is
reached at N^3LO approximation, when term d_3{\mathcal A}_3 is taken into
account. In the case of Adler function D(Q^2) we have an accuracy of the order
of 0.1% already at N^2LO (i. e., with taking into account d_2{\mathcal A}_2
term). The main conclusion is: In order to achieve an accuracy of the order of
1%, we do not need to calculate more than four loops and d_4 coefficients are
needed only to estimate corresponding generating functions P(t).


title: Lattice models for non-Fermi liquid metals

abstract:
  We present two 2D lattice models with non-Fermi liquid metallic phases. We
show that the low energy physics of these models is exactly described by a
Fermi sea of fractionalized quasiparticles coupled to a fluctuating U(1) gauge
field. In the first model, the underlying degrees of freedom are spin 1/2
fermions. This model demonstrates that electrons can in principle give rise to
non-Fermi liquid metallic phases. In the second model, the underlying degrees
of freedom are spinless bosons. This model provides a concrete example of a
(non-Fermi liquid) Bose metal. With little modification, it also gives an
example of a critical U(1) symmetric spin liquid.


title:
Low temperature Casimir-Lifshitz free energy and entropy: the case of
  poor conductors

abstract:
  The controversy concerning the temperature correction to the Casimir force
has been ongoing for almost a decade with no view to a solution and has
recently been extended to include semiconducting materials. We review some
theoretical aspects of formal violations of Nernst's heat theorem in the
context of Casimir Lifshitz thermodynamics and the role of the exponent of the
leading term of the dielectric permittivity with respect to imaginary
frequency. A general formalism for calculating the temperature corrections to
free energy at low temperatures is developed for systems which do not exhibit
such anomalies, and the low temperature behaviour of the free energy in a gap
between half-spaces of poorly conducting materials modelled with a Drude type
permittivity is calculated.


title:
Fine structure in the electronic density of states of Al-Ni-Co decagonal
  quasicrystal from ultrafast time-resolved optical reflectivity

abstract:
  We measured the temperature and fluence dependence of the time-resolved
photoinduced optical reflectivity in a decagonal Al_{71.9}Ni_{11.1}Co_{17.0}
quasicrystal. We find no evidence for the relaxation of a hot thermalized
electron gas as observed in metals. Instead, a quick diffusion of the hot
nonthermal carries ~40 nm into the bulk is detected enhanced by the presence of
a broad ~1 eV pseudogap. From the relaxation dynamics we find an evidence for
the presence of a fine structure in the electronic density of states around ~13
meV from the Fermi energy. The structure is related to a weak bottleneck for
the carrier relaxation observed at low temperatures.


title:
A High Yield of New Sightlines for the Study of Intergalactic Helium:
  Far-UV-Bright Quasars from SDSS, GALEX, and HST

abstract:
  Investigations of He II Ly-alpha (304 A rest) absorption toward a half-dozen
quasars at z~3-4 have demonstrated the great potential of helium studies of the
IGM, but the current critically small sample size of clean sightlines for the
He II Gunn-Peterson test limits confidence in cosmological inferences, and a
larger sample is required. Although the unobscured quasar sightlines to high
redshift are extremely rare, SDSS DR6 provides thousands of z>2.8 quasars. We
have cross-correlated these SDSS quasars with GALEX GR2/GR3 to establish a
catalog of 200 higher-confidence (~70% secure) cases of quasars at z=2.8-5.1
potentially having surviving far-UV (restframe) flux. We also catalog another
112 likely far-UV-bright quasars from GALEX cross-correlation with other
(non-SDSS) quasar compilations. Reconnaissance UV prism observations with HST
of 24 of our SDSS/GALEX candidates confirm 12 as detected in the far-UV, with
at least 9 having flux extending to very near the He II break; with refinements
our success rate is even higher. Our SDSS/GALEX selection approach is thereby
confirmed to be an order of magnitude more efficient than previous He II quasar
searches, more than doubles the number of spectroscopically confirmed clean
sightlines to high redshift, and provides a resource list of hundreds of
high-confidence sightlines for upcoming He II and other far-UV studies from
HST. Our reconnaissance HST prism spectra suggest some far-UV diversity,
confirming the need to obtain a large sample of independent quasar sightlines
across a broad redshift range to assess such issues as the epoch(s) of helium
reionization, while averaging over individual-object pathology and/or cosmic
variance.


title:
The High-Mass End of the Black Hole Mass Function: Mass Estimates in
  Brightest Cluster Galaxies

abstract:
  We present Hubble Space Telescope imaging and spectroscopic observations of
three Brightest Cluster Galaxies, Abell 1836-BCG, Abell 2052-BCG, and Abell
3565-BCG, obtained with the Wide Field and Planetary Camera 2, the Advanced
Camera for Surveys and the Space Telescope Imaging Spectrograph. The data
provide detailed information on the structure and mass profile of the stellar
component, the dust optical depth, and the spatial distribution and kinematics
of the ionized gas within the innermost region of each galaxy. Dynamical
models, which account for the observed stellar mass profile and include the
contribution of a central supermassive black hole (SBH), are constructed to
reproduce the kinematics derived from the Halpha and [N II](lambda 6548,6583)
emission lines. Secure SBH detection with M_bh=3.61(+0.41,-0.50)x10^9 M_sun and
M_bh=1.34(+0.21,-0.19)x10^9 M_sun, respectively, are obtained for Abell
1836-BCG and Abell 3565-BCG, which show regular rotation curves and strong
central velocity gradients. In the case of Abell 2052-BCG, the lack of an
orderly rotational motion prevents a secure determination, although an upper
limit of M_bh < 4.60x10^9 M_sun can be placed on the mass of the central SBH.
These measurements represent an important step forward in the characterization
of the high-mass end of the SBH mass function.


title: A note on k[z]-automorphisms in two variables

abstract:
  We prove that for a polynomial $f\in k[x,y,z]$ equivalent are: (1)$f$ is a
$k[z]$-coordinate of $k[z][x,y]$, and (2) $k[x,y,z]/(f)\cong k^{[2]}$ and
$f(x,y,a)$ is a coordinate in $k[x,y]$ for some $a\in k$. This solves a special
case of the Abhyankar-Sathaye conjecture. As a consequence we see that a
coordinate $f\in k[x,y,z]$ which is also a $k(z)$-coordinate, is a
$k[z]$-coordinate. We discuss a method for constructing automorphisms of
$k[x,y,z]$, and observe that the Nagata automorphism occurs naturally as the
first non-trivial automorphism obtained by this method - essentially linking
Nagata with a non-tame $R$-automorphism of $R[x]$, where $R=k[z]/(z^2)$.


title: Coherent control of dressed matter waves

abstract:
  By moving the pivot of a pendulum rapidly up and down one can create a stable
position with the pendulum's bob above the pivot rather than below it. This
surprising and counterintuitive phenomenon is a widespread feature of driven
systems and carries over into the quantum world. Even when the static
properties of a quantum system are known, its response to an explicitly
time-dependent variation of its parameters may be highly nontrivial, and
qualitatively new states can appear that were absent in the original system. In
quantum mechanics the archetype for this kind of behaviour is an atom in a
radiation field, which exhibits a number of fundamental phenomena such as the
modification of its g-factor in a radio-frequency field and the dipole force
acting on an atom moving in a spatially varying light field. These effects can
be successfully described in the so-called dressed atom picture. Here we show
that the concept of dressing can also be applied to macroscopic matter waves,
and that the quantum states of "dressed matter waves" can be coherently
controlled. In our experiments we use Bose-Einstein condensates in driven
optical lattices and demonstrate that the many-body state of this system can be
adiabatically and reversibly changed between a superfluid and a Mott insulating
state by varying the amplitude of the driving. Our setup represents a versatile
testing ground for driven quantum systems, and our results indicate the
direction towards new quantum control schemes for matter waves.


title: Effects of Bending on Raman-active Vibration Modes of Carbon Nanotubes

abstract:
  We investigate vibration modes and their Raman activity of single-walled
carbon nanotubes that are bent within their intrinsic elastic limits. By
implementing novel boundary conditions for density-functional based
tight-binding, and using non-resonant bond polarization theory, we discover
that Raman activity can be induced by bending. Depending on the degree of
bending, high-energy Raman peaks change their positions and intensities
significantly. These effects can be explained by migration of nodes and
antinodes along tube circumference. We discuss the challenge of associating the
predicted spectral changes with experimental observations.


title:
Evolution of an Unconventional Superconducting State inside the
  Antiferromagnetic Phase of CeNiGe$_3$ under Pressure: a
  $^{73}$Ge-Nuclear-Quadrupole-Resonance Study

abstract:
  We report a $^{73}$Ge nuclear-quadrupole-resonance (NQR) study on novel
evolution of unconventional superconductivity in antiferromagnetic (AFM)
CeNiGe$_3$. The measurements of the $^{73}$Ge-NQR spectrum and the nuclear
spin-lattice relaxation rate ($1/T_1$) have revealed that the unconventional
superconductivity evolves inside a commensurate AFM phase around the pressure
($P$) where N\'{e}el temperature $T_{\rm N}$ exhibits its maximum at 8.5 K. The
superconducting transition temperature $T_{\rm SC}$ has been found to be
enhanced with increasing $T_{\rm N}$, before reaching the quantum critical
point at which the AFM order collapses. Above $T_{\rm SC}$, the AFM structure
transits from an incommensurate spin-density-wave order to a commensurate AFM
order at $T\sim 2$ K, accompanied by a longitudinal spin-density fluctuation.
With regard to heavy-fermion compounds, these novel phenomena have hitherto
never been reported in the $P$-$T$ phase diagram.


title:
Visibility of Cold Atomic Gases in Optical Lattices for Finite
  Temperatures

abstract:
  In nearly all experiments with ultracold atoms time-of-flight pictures are
the only data available. In this paper we present an analytical strong-coupling
calculation for those time-of-flight pictures of bosons in an optical lattice
in the Mott phase. This allows us to determine the visibility, which quantifies
the contrast of peaks in the time-of-flight pictures, and we suggest how to use
it as a thermometer.


title: Dynamique transverse de la lamination de Ghys-Kenyon

abstract:
  Using an aperiodic and repetitive subtree of the Cayley graph of the free
Abelian group with two generators, described by Kenyon, Ghys has constructed an
example of minimal Riemann surface lamination having both Euclidean and
hyperbolic leaves. We prove that the transverse dynamics of this lamination is
represented (in a measurable way) by a 2-adic odometer. In fact, we can
describe its topological transverse dynamics, and prove that the Ghys-Kenyon
lamination is affable.


title:
Investigating the two-moment characterisation of subcellular biochemical
  networks

abstract:
  While ordinary differential equations (ODEs) form the conceptual framework
for modelling many cellular processes, specific situations demand stochastic
models to capture the influence of noise. The most common formulation of
stochastic models for biochemical networks is the chemical master equation
(CME). While stochastic simulations are a practical way to realise the CME,
analytical approximations offer more insight into the influence of noise.
Towards that end, the two-moment approximation (2MA) is a promising addition to
the established analytical approaches including the chemical Langevin equation
(CLE) and the related linear noise approximation (LNA). The 2MA approach
directly tracks the mean and (co)variance which are coupled in general. This
coupling is not obvious in CME and CLE and ignored by LNA and conventional ODE
models. We extend previous derivations of 2MA by allowing a) non-elementary
reactions and b) relative concentrations. Often, several elementary reactions
are approximated by a single step. Furthermore, practical situations often
require the use relative concentrations. We investigate the applicability of
the 2MA approach to the well established fission yeast cell cycle model. Our
analytical model reproduces the clustering of cycle times observed in
experiments. This is explained through multiple resettings of MPF, caused by
the coupling between mean and (co)variance, near the G2/M transition.


title:
Tunable Goos-H\"{a}nchen shift and polarization beam splitter in
  electro-optic crystals

abstract:
  We have investigated the tunable lateral shift and polarization beam
splitting of the transmitted light beam through electro-optic crystals, based
on the Pockels effect. The positive and negative lateral shifts could be easily
controlled by adjusting the permittivity tensor, which is modulated by the
external applied electric field. An alternative way to realize the polarization
beam splitter was also proposed by the polarization-dependent lateral shifts.
Numerical simulations for Gaussian-shaped incident beam have demonstrated the
above theoretical results obtained by stationary phase method. All these
phenomena have potential applications in optical devices.


title:
Determining Seebeck coefficient of heavily doped La:SrTiO3 from density
  functional calculations

abstract:
  A new approach is developed to calculate temperature dependent Seebeck
coefficient of heavily doped systems by using Boltzmann transport theory and
electron density of states (DOS) obtained from density functional calculations.
This approach is applied to heavily doped La:STO with DOS from tetrahedral
method and Fermi energy using Fermi integrals. The calculated Seebeck
coefficient agrees with the experimental data nearly quantitatively, which
proved the accuracy of this approach. The influence of the Fermi energy and
asymmetry of DOS on the Seebeck coefficient is analyzed.


title: Effective surface interactions mediated by adhesive particles

abstract:
  In biomimetic and biological systems, interactions between surfaces are often
mediated by adhesive molecules, nanoparticles, or colloids dispersed in the
surrounding solution. We present here a general, statistical-mechanical model
for two surfaces that interact via adhesive particles. The effective,
particle-mediated interaction potential of the surfaces is obtained by
integrating over the particles' degrees of freedom in the partition function.
Interestingly, the effective adhesion energy of the surfaces exhibits a maximum
at intermediate particle concentrations, and is considerably smaller both at
low and high concentrations. The effective adhesion energy corresponds to a
minimum in the interaction potential at surface separations slightly larger
than the particle diameter, while a secondary minimum at surface contact
reflects depletion interactions. Our results can be generalized to surfaces
with specific receptors for solute particles, and have direct implications for
the adhesion of biomembranes and for phase transitions in colloidal systems.


title: Retention of Attosecond Pulse Structure in an HHG Seeded FEL Amplifier

abstract:
  A model is presented which demonstrates that the attosecond pulse structure
of a High Harmonic Generation (HHG) seed may be retained through to saturation
in an FEL amplifier. At wavelengths of ~12nm a train of attosecond pulses of
widths ~300 attoseconds with peak powers in excess of 1 GW are predicted from
full 3D simulation. Methods for improving these results are discussed.


title:
Evidence for the naphthalene cation in a region of the interstellar
  medium with anomalous microwave emission

abstract:
  We report high resolution spectroscopy of the moderately reddened (A$_V$=3)
early type star Cernis 52 located in a region of the Perseus molecular cloud
complex with anomalous microwave emission. In addition to the presence of the
most common diffuse interstellar bands (DIBs) we detect two new interstellar or
circumstellar bands coincident to within 0.01% in wavelength with the two
strongest bands of the naphthalene cation (C$_{10}$H$_{8}^+$) as measured in
gas-phase laboratory spectroscopy at low temperatures and find marginal
evidence for the third strongest band.
  Assuming these features are caused by the naphthalene cation, from the
measured intensity and available oscillator strengths we find that 0.008 % of
the carbon in the cloud could be in the form of this molecule. We expect
hydrogen additions to cause hydronaphthalene cations to be abundant in the
cloud and to contribute via electric dipole radiation to the anomalous
microwave emission. The identification of new interstellar features consistent
with transitions of the simplest polycyclic aromatic hydrocarbon adds support
to the hypothesis that this type of molecules are the carriers of both diffuse
interstellar bands and anomalous microwave emission.


title: The constrained NMSSM: mSUGRA and GMSB

abstract:
  We review different constrained versions of the NMSSM: the fully constrained
cNMSSM with universal boundary conditions for gauginos and all soft scalar
masses and trilinear couplings, and the NMSSM with soft terms from Gauge
Mediated Supersymmetry Breaking. Regarding the fully constrained cNMSSM, after
imposing LEP constraints and the correct dark matter relic density, one single
parameter is sufficient to describe the entire Higgs and sparticle spectrum of
the model, which then contains always a singlino LSP. The NMSSM with soft terms
from GMSB is phenomenologically viable if (and only if) the singlet is allowed
to couple directly to the messenger sector; then various ranges in parameter
space satisfy constraints from colliders and precision observables. Motivations
for and phenomenological features of extra U(1)' gauge symmetries are briefly
reviewed.


title: Is H3+ cooling ever important in primordial gas?

abstract:
  Studies of the formation of metal-free Population III stars usually focus
primarily on the role played by H2 cooling, on account of its large chemical
abundance relative to other possible molecular or ionic coolants. However,
while H2 is generally the most important coolant at low gas densities, it is
not an effective coolant at high gas densities, owing to the low critical
density at which it reaches local thermodynamic equilibrium (LTE) and to the
large opacities that develop in its emission lines. It is therefore possible
that emission from other chemical species may play an important role in cooling
high density primordial gas. A particularly interesting candidate is the H3+
molecular ion. This ion has an LTE cooling rate that is roughly a billion times
larger than that of H2, and unlike other primordial molecular ions such as H2+
or HeH+, it is not easily removed from the gas by collisions with H or H2. It
is already known to be an important coolant in at least one astrophysical
context -- the upper atmospheres of gas giants -- but its role in the cooling
of primordial gas has received little previous study. In this paper, we
investigate the potential importance of H3+ cooling in primordial gas using a
newly-developed H3+ cooling function and the most detailed model of primordial
chemistry published to date. We show that although H3+ is, in most
circumstances, the third most important coolant in dense primordial gas (after
H2 and HD), it is nevertheless unimportant, as it contributes no more than a
few percent of the total cooling. We also show that in gas irradiated by a
sufficiently strong flux of cosmic rays or X-rays, H3+ can become the dominant
coolant in the gas, although the size of the flux required renders this
scenario unlikely to occur.


title: Generic Friedberg-Lee Symmetry of Dirac Neutrinos

abstract:
  We write out the generic Dirac neutrino mass operator which possesses the
Friedberg-Lee (FL) symmetry and find that its corresponding neutrino mass
matrix is asymmetric. Following a simple way to break the FL symmetry, we
calculate the neutrino mass eigenvalues and show that the resultant neutrino
mixing pattern is nearly tri-bimaximal. Imposing the Hermitian condition on the
neutrino mass matrix, we also show that the simplified ansatz is consistent
with current experimental data and favors the normal neutrino mass hierarchy.


title:
The chromospherically active binary star EI Eridani I. Absolute
  dimensions

abstract:
  We present a detailed determination of the astrophysical parameters of the
chromospherically active binary star EI Eridani. Our new radial velocities
allow to improve the set of orbital elements and reveal long-term variations of
the barycentric velocity. A possible third-body orbit with a period of
approximately 19 years is presented. Absolute parameters are determined in
combination with the Hipparcos parallax. EI Eri's inclination angle of the
rotational axis is confined to 56.0 plus/minus 4.5 degrees, its luminosity
class IV is confirmed by its radius of 2.37 plus/minus 0.12 R_Sun. A comparison
to theoretical stellar evolutionary tracks suggests a mass of 1.09 plus/minus
0.05 M_Sun and an age of approximately 6.15 Gyr. The present investigation is
the basis of our long-term Doppler imaging study of its stellar surface.


title: The Bethe Ansatz for AdS5 x S5 Bound States

abstract:
  We reformulate the nested coordinate Bethe ansatz in terms of coproducts of
Yangian symmetry generators. This allows us to derive the nested Bethe
equations for the bound state string S-matrices. We find that they coincide
with the Bethe equations obtained from a fusion procedure. The bound state
number dependence in the Bethe equations appears through the parameters x^{\pm}
and the dressing phase only.


title: On hypercomplex pseudo-Hermitian manifolds

abstract:
  The class of the hypercomplex pseudo-Hermitian manifolds is considered. The
flatness of the considered manifolds with the 3 parallel complex structures is
proved. Conformal transformations of the metrics are introduced. The conformal
invariance and the conformal equivalence of the basic types manifolds are
studied. A known example is characterized in relation to the obtained results.


title: Solar Neutrinos as Background in Direct Dark Matter Searches

abstract:
  The coherent contribution of all neutrons in neutrino nucleus scattering due
to the neutral current is examined considering the boron solar neutrinos. These
neutrinos could potentially become a source of background in the future dark
matter searches aiming at nucleon cross sections in the region well below the
few events per ton per year.


title: Neighborliness of Marginal Polytopes

abstract:
  A neighborliness property of marginal polytopes of hierarchical models,
depending on the cardinality of the smallest non-face of the underlying
simplicial complex, is shown. The case of binary variables is studied
explicitly, then the general case is reduced to the binary case. A Markov basis
for binary hierarchical models whose simplicial complexes is the complement of
an interval is given.


title:
Convergence of eigenvalues for a highly non-self-adjoint differential
  operator

abstract:
  In this paper we study a family of operators dependent on a small parameter
$\epsilon > 0$, which arise in a problem in fluid mechanics. We show that the
spectra of these operators converge to N as $\epsilon \to 0$, even though, for
fixed $\epsilon > 0$, the eigenvalue asymptotics are quadratic.


title: Peek Arc Consistency

abstract:
  This paper studies peek arc consistency, a reasoning technique that extends
the well-known arc consistency technique for constraint satisfaction. In
contrast to other more costly extensions of arc consistency that have been
studied in the literature, peek arc consistency requires only linear space and
quadratic time and can be parallelized in a straightforward way such that it
runs in linear time with a linear number of processors. We demonstrate that for
various constraint languages, peek arc consistency gives a polynomial-time
decision procedure for the constraint satisfaction problem. We also present an
algebraic characterization of those constraint languages that can be solved by
peek arc consistency, and study the robustness of the algorithm.


title:
Wave splitting of Maxwell's equations with anisotropic heterogeneous
  constitutive relations

abstract:
  The equations for the electromagnetic field in an anisotropic media are
written in a form containing only the transverse field components relative to a
half plane boundary. The operator corresponding to this formulation is the
electromagnetic system's matrix. A constructive proof of the existence of
directional wave-field decomposition with respect to the normal of the boundary
is presented.
  In the process of defining the wave-field decomposition (wave-splitting), the
resolvent set of the time-Laplace representation of the system's matrix is
analyzed. This set is shown to contain a strip around the imaginary axis. We
construct a splitting matrix as a Dunford-Taylor type integral over the
resolvent of the unbounded operator defined by the electromagnetic system's
matrix. The splitting matrix commutes with the system's matrix and the
decomposition is obtained via a generalized eigenvalue-eigenvector procedure.
The decomposition is expressed in terms of components of the splitting matrix.
The constructive solution to the question on the existence of a decomposition
also generates an impedance mapping solution to an algebraic Riccati operator
equation. This solution is the electromagnetic generalization in an anisotropic
media of a Dirichlet-to-Neumann map.


title:
QCD corrections to charged triple vector boson production with leptonic
  decay

abstract:
  We compute the O(alpha_s) QCD corrections to charged triple vector boson
production at a hadron collider, i.e. the processes pp -> ZZW + X and pp -> WWW
+ X. Intermediate Higgs boson exchange effects, spin correlations from leptonic
vector boson decays, and off-shell contributions are all taken into account.
Results are implemented in a fully flexible Monte Carlo program that allows for
an easy customization of kinematical cuts and variation of the factorization
and renormalization scales. We analyze the dependence of the differential cross
sections under scale variations and present distributions where the QCD
corrections strongly modify the leading-order results.


title:
On measuring the gravitational-wave background using Pulsar Timing
  Arrays

abstract:
  Long-term precise timing of Galactic millisecond pulsars holds great promise
for measuring the long-period (months-to-years) astrophysical gravitational
waves. Several gravitational-wave observational programs, called Pulsar Timing
Arrays (PTA), are being pursued around the world. Here we develop a Bayesian
algorithm for measuring the stochastic gravitational-wave background (GWB) from
the PTA data. Our algorithm has several strengths: (1) It analyses the data
without any loss of information, (2) It trivially removes systematic errors of
known functional form, including quadratic pulsar spin-down, annual modulations
and jumps due to a change of equipment, (3) It measures simultaneously both the
amplitude and the slope of the GWB spectrum, (4) It can deal with unevenly
sampled data and coloured pulsar noise spectra. We sample the likelihood
function using Markov Chain Monte Carlo (MCMC) simulations. We extensively test
our approach on mock PTA datasets, and find that the algorithm has significant
benefits over currently proposed counterparts. We show the importance of
characterising all red noise components in pulsar timing noise by demonstrating
that the presence of a red component would significantly hinder a detection of
the GWB. Lastly, we explore the dependence of the signal-to-noise ratio on the
duration of the experiment, number of monitored pulsars, and the magnitude of
the pulsar timing noise. These parameter studies will help formulate observing
strategies for the PTA experiments.


title: Gamma rays and positrons from a decaying hidden gauge boson

abstract:
  We study a scenario that a hidden gauge boson constitutes the dominant
component of dark matter and decays into the standard model particles through a
gauge kinetic mixing. Interestingly, gamma rays and positrons produced from the
decay of hidden gauge boson can explain both the EGRET excess of diffuse gamma
rays and the HEAT anomaly in the positron fraction. The spectra of the gamma
rays and the positrons have distinctive features; the absence of line emission
of the gamma ray and a sharp peak in the positron fraction. Such features may
be observed by the GLAST and PAMELA satellites.


title: Technicolor Walks at the LHC

abstract:
  We analyze the potential of the Large Hadron Collider (LHC) to observe
signatures of phenomenologically viable Walking Technicolor models. We study
and compare the Drell-Yan (DY) and Vector Boson Fusion (VBF) mechanisms for the
production of composite heavy vectors. We find that the heavy vectors are most
easily produced and detected via the DY processes. The composite Higgs
phenomenology is also studied. If Technicolor walks at the LHC its footprints
will be visible and our analysis will help uncovering them.


title:
A large area plastic scintillator detector array for fast neutron
  measurements

abstract:
  A large area plastic scintillator detector array(~ 1 m x1m) has been set up
for fast neutron spectroscopy at the BARC-TIFR Pelletron laboratory, Mumbai.
The energy, time and position response has been measured for electrons using
radioactive sources and for mono-energetic neutrons using the
7Li(p,n1)7Be*(0.429 MeV) reaction at proton energies between 6.3 and 19 MeV. A
Monte Carlo simulation of the energy dependent efficiency of the array for
neutron detection is in agreement with the 7Li(p,n1) measurements. The array
has been used to measure the neutron spectrum, in the energy range of 4-12 MeV,
in the reaction 12C+ 93Nb at E(12C)= 40 MeV. This is in reasonable agreement
with a statistical model calculation.


title: Impurity states in antiferromagnetic Iron Arsenides

abstract:
  We explore theoretically impurity states in the antiferromagnetic
spin-density wave state of the iron arsenide. Two types of impurity models are
employed: one has only the intraband scattering while the other has both the
intraband and interband scattering with the equal strength. Interestingly, the
impurity bound state is revealed around the impurity site in the energy gap for
both models. However, the impurity state is doubly degenerate with respect to
spin for the first case; while the single impurity state is observed in either
the spin-up or spin-down channel for the second one. The impurity-induced
variations of the local density of states are also examined.


title:
Stabilizing continuous-wave output in semiconductor lasers by
  time-delayed feedback

abstract:
  The stabilization of steady states is studied in a modified Lang-Kobayashi
model of a semiconductor laser. We show that multiple time-delayed feedback,
realized by a Fabry-Perot resonator coupled to the laser, provides a valuable
tool for the suppression of unwanted intensity pulsations, and leads to stable
continuous-wave operation. The domains of control are calulated in dependence
on the feedback strength, delay time (cavity round trip time), memory parameter
(mirror reflectivity), latency time, feedback phase, and bandpass filtering,
Due to the optical feedback, multistable behavior can also occur in the form of
delay-induced intensity pulsations or other modes for certain choices of the
control parameters. Control may then still be achieved by slowly ramping the
injection current during turn-on.


title:
Numerical examination of plasmoid-induced reconnection model for solar
  flares: the relation between plasmoid velocity and reconnection rate

abstract:
  The plasmoid-induced-reconnection model explaining solar flares based on
bursty reconnection produced by an ejecting plasmoid suggests a possible
relation between the ejection velocity of a plasmoid and the rate of magnetic
reconnection. In this study, we focus on the quantitative description of this
relation. We performed magnetohydrodynamic (MHD) simulations of solar flares by
changing the values of resistivity and the plasmoid velocity. The plasmoid
velocity has been changed by applying an additional force to the plasmoid to
see how the plasmoid velocity affects the reconnection rate. An important
result is that the reconnection rate has a positive correlation with the
plasmoid velocity, which is consistent with the plasmoid-induced-reconnection
model for solar flares. We also discuss an observational result supporting this
positive correlation.


title:
Magnetic excitations in dipolar pyrochlore antiferromagnet
  Gd$_2$Sn$_2$O$_7$

abstract:
  The spin dynamics in the geometrically frustrated pyrochlore antiferromagnet
$\rm Gd_2Sn_2O_7$ is studied by means of the electron spin resonance. In the
ordered phase ($T_N = 1$ K), we have detected three gapped resonance modes.
Their values agree well with the developed spin-wave theory which takes into
account the Heisenberg nearest-neighbor exchange, the single-ion anisotropy and
the long-range dipolar interactions. The theory also predicts a fourth
lowest-frequency gap, which lies beyond the experimental range of frequencies,
but determines the exponential decrease of the specific heat at low
temperature.


title: Even universal binary Hermitian lattices over imaginary quadratic fields

abstract:
  A positive definite even Hermitian lattice is called \emph{even universal} if
it represents all even positive integers. We introduce a method to get all even
universal binary Hermitian lattices over imaginary quadratic fields $\Q{-m}$
for all positive square-free integers $m$ and we list optimal criterions on
even universality of Hermitian lattices over $\Q{-m}$ which admits even
universal binary Hermitian lattices.


title:
Two-loop electroweak next-to-leading logarithms for processes involving
  heavy quarks

abstract:
  We derive logarithmically enhanced two-loop virtual electroweak corrections
for arbitrary fermion-scattering processes at the TeV scale. This extends
results previously obtained for massless fermion scattering to processes that
involve also bottom and top quarks. The contributions resulting from soft,
collinear, and ultraviolet singularities in the complete electroweak Standard
Model are explicitly extracted from two-loop diagrams to
next-to-leading-logarithmic accuracy including all effects associated with
symmetry breaking and Yukawa interactions.


title:
Selective substitution in orbital domains of a low doped manganite : an
  investigation from Griffiths phenomenon and modification of glassy features

abstract:
  An effort is made to study the contrast in magnetic behavior resulting from
minimal disorder introduced by substitution of 2.5% Ga or Al in Mn-site of
La${_{0.9}}$Sr$_{0.1}$MnO${_3}$. It is considered that Ga or Al selectively
creates disorder within the orbital domains or on its walls, causing
enhancement of Griffiths phase (GP) singularity for the former and
disappearance of it in the later case. It is shown that Ga replaces Mn$^{3+}$
which is considered to be concentrated within the domains, whereas Al replaces
Mn$^{4+}$ which is segregated on the hole-rich walls, without causing any
significant effect on structure or ferromagnetic transition temperatures. Thus,
it is presumed that the effect of disorder created by Ga extend across the bulk
of the domain having correlation over similar length-scale resulting in
enhancement of GP phenomenon. On the contrary, effect of disorder created by Al
remains restricted to the walls resulting in the modification of the dynamics
arising from the domain walls and suppresses the GP. Moreover contrasting
features are observed in the low temperature region of the compounds; a
re-entrant spin glass like behavior is observed in the Ga doped sample, while
the observed characteristics for the Al doped sample is ascribed only to
modified domain wall dynamics with the absence of any glassy phase. Distinctive
features in third order susceptibility measurements reveals that the magnetic
ground state of the entire series comprises of orbital domain states. These
observations bring out the role of the nature of disorder on GP phenomenon and
also reconfirms the character of self-organization in low-doped manganites.


title: Positive Legendrian regular homotopies

abstract:
  In contrast with what happens for Legendrian embeddings, there always exist
positive loops of Legendrian immersions.


title:
Study of pollution in the El Jadida-Safi Atlantic coastal zone (Morocco)
  by using PIXE and SSNTD methods

abstract:
  In this work PIXE experiments were performed for measuring heavy and light
elements (ranging from aluminium to lead) concentrations inside various
polluted and unpolluted soils as well as liquid samples collected from
different phosphate factory sewers in the El Jadida-Safi Atlantic coastal
region (Morocco). In addition, uranium (238U) and thorium (232Th) contents were
evaluated in the same samples studied by using CR-39 and LR-115 type II solid
state nuclear track detectors (SSNTDs). The influence of the phosphate industry
wastes on the concentrations of both radioactive and non-radioactive elements
of the samples studied was investigated.


title:
Repr\'esentations d\'eterminantales effectives des polyn\^omes
  univari\'es par les matrices fl\`eches

abstract:
  We first show the existence of an effective determinantal representation for
any univariate polynomial with real coefficients. Then, we more precisely
establish that any univariate polynomial with real coefficients has an
effective determinantal representation with signature (r+s,s) if and only if it
has at least r real roots with multiplicity. The effective determinantal
representations we construct used arrow matrices.


title: Baryons and Baryonic Matter in Holographic QCD from Superstring

abstract:
  We study baryons and baryonic matter in holographic QCD using a
D4/D8/$\bar{\rm D8}$ multi-D-brane system in the superstring theory. We obtain
the chiral soliton solution for baryons in the four-dimensional meson theory
derived from the multi-D-brane system. For the analysis of finite
baryon-density matter, we investigate the chiral soliton on $S^3$ in
holographic QCD, and find the delocalization of the soliton, i.e., the swelling
of baryons in dense matter.


title: Finite mass gravitating Yang monopoles

abstract:
  We show that gravity cures the infra-red divergence of the Yang monopole when
a proper definition of conserved quantities in curved backgrounds is used, i.e.
the gravitating Yang monopole in cosmological Einstein theory has a finite mass
in generic even dimensions (including time). In addition, we find exact
Yang-monopole type solutions in the cosmological
Einstein-Gauss-Bonnet-Yang-Mills theory and briefly discuss their properties.


title:
Readout of a single electron spin in a double quantum dot using a
  quantum point contact

abstract:
  We study the dynamics of a single electron spin in a double quantum dot (DQD)
and its readout via a quantum point contact (QPC). We model the system
microscopically and derive rate equations for the reduced electron density
matrix of the DQD. Two cases with one and two electrons in the DQD are studied.
In the one-electron case, with different Zeeman splittings in the two dots, the
electron spin states are distinctly characterized by a constant and an
oscillatory current through the QPC. In the two-electron case, the readout of
the spin state of the electron in one of the dots called the qubit dot is
essentially similar after considering hyperfine interactions between the
electrons and the nuclear spins of the host materials and a uniform magnetic
field applied to the DQD. Moreover, to ensure that an electron is properly
injected into the qubit dot, we propose to determine the success of the
electron injection from the variations of the QPC current after applying an
oscillating magnetic field to the qubit dot.


title: Characteristic Classes on Grassmann Manifolds

abstract:
  In this paper, we use characteristic classes of the canonical vector bundles
and the Poincar\' {e} dualality to study the structure of the real homology and
cohomology groups of oriented Grassmann manifold $G(k, n)$. Show that for $k=2$
or $n\leq 8$, the cohomology groups $H^*(G(k,n),{\bf R})$ are generated by the
first Pontrjagin class, the Euler classes of the canonical vector bundles. In
these cases, the Poincar\' {e} dualality: $H^q(G(k,n),{\bf R}) \to
H_{k(n-k)-q}(G(k,n),{\bf R})$ can be given explicitly.


title: Optimal operation of feedback flashing ratchets

abstract:
  Feedback flashing ratchets are thermal rectifiers that use information on the
state of the system to operate the switching on and off a periodic potential.
We discuss different strategies for this operation with the aim of maximizing
the net flux of particles in the collective version of a flashing ratchet
consisting on N overdamped Brownian particles. We show the optimal protocols
for the one-particle ratchet and for the collective ratchet with an infinite
number of particles. Finally we comment on the unsolved problem of the optimal
strategy for any other number of particles.


title:
Interference effects in transport across a single incompressible strip
  at the edge of the fractional quantum Hall system

abstract:
  We experimentally investigate interference effects in transport across a
single incompressible strip at the edge of the quantum Hall system by using a
Fabry-Perot type interferometer. We find the interference oscillations in
transport across the incompressible strips with local filling factors $\nu_c=1,
4/3, 2/3$ even at high imbalances, exceeding the spectral gaps. In contrast,
there is no sign of the interference in transport across the principal Laughlin
$\nu_c=1/3$ incompressible strip. This indicates, that even at fractional
$\nu_c$, the interference effects are caused by "normal" electrons. The
oscillation's period is determined by the effective interferometer area, which
is sensitive to the filling factors because of screening effects.


title:
Hawking radiation, Entanglement and Teleportation in background of an
  asymptotically flat static black hole

abstract:
  The effect of the Hawking temperature on the entanglement and teleportation
for the scalar field in a most general, static and asymptotically flat black
hole with spherical symmetry has been investigated. It is shown that the same
"initial entanglement" for the state parameter $\alpha$ and its "normalized
partners" $\sqrt{1-\alpha^{2}}$ will be degraded by the Hawking effect with
increasing Hawking temperature along two different trajectories except for the
maximally entangled state. In the infinite Hawking temperature limit,
corresponding to the case of the black hole evaporating completely, the state
has no longer distillable entanglement for any $\alpha$. It is interesting to
note that the mutual information in this limit equals to just half of the
"initially mutual information". It has also been demonstrated that the fidelity
of teleportation decreases as the Hawking temperature increases, which just
indicates the degradation of entanglement.


title: The notion of convexity and concavity on Wiener space

abstract:
  We define, in the frame of an abstract Wiener space, the notions of convexity
and of concavity for the equivalence classes of random variables. As
application we show that some important inequalities of the finite dimensional
case have their natural counterparts in this setting.


title: Large Deviations of Vector-valued Martingales in 2-Smooth Normed Spaces

abstract:
  We derive exponential bounds on probabilities of large deviations for "light
tail" martingales taking values in finite-dimensional normed spaces. Our
primary emphasis is on the case where the bounds are dimension-independent or
nearly so. We demonstrate that this is the case when the norm on the space can
be approximated, within an absolute constant factor, by a norm which is
differentiable on the unit sphere with a Lipschitz continuous gradient. We also
present various examples of spaces possessing the latter property.


title:
Nonparametric Denoising of Signals with Unknown Local Structure, I:
  Oracle Inequalities

abstract:
  We consider the problem of pointwise estimation of multi-dimensional signals
$s$, from noisy observations $(y_\tau)$ on the regular grid $\bZd$. Our focus
is on the adaptive estimation in the case when the signal can be well recovered
using a (hypothetical) linear filter, which can depend on the unknown signal
itself.
  The basic setting of the problem we address here can be summarized as
follows: suppose that the signal $s$ is "well-filtered", i.e. there exists an
adapted time-invariant linear filter $q^*_T$ with the coefficients which vanish
outside the "cube" $\{0,..., T\}^d$ which recovers $s_0$ from observations with
small mean-squared error. We suppose that we do not know the filter $q^*$,
although, we do know that such a filter exists. We give partial answers to the
following questions: -- is it possible to construct an adaptive estimator of
the value $s_0$, which relies upon observations and recovers $s_0$ with
basically the same estimation error as the unknown filter $q^*_T$? -- how rich
is the family of well-filtered (in the above sense) signals?
  We show that the answer to the first question is affirmative and provide a
numerically efficient construction of a nonlinear adaptive filter. Further, we
establish a simple calculus of "well-filtered" signals, and show that their
family is quite large: it contains, for instance, sampled smooth signals,
sampled modulated smooth signals and sampled harmonic functions.


title: Solving variational inequalities with Stochastic Mirror-Prox algorithm

abstract:
  In this paper we consider iterative methods for stochastic variational
inequalities (s.v.i.) with monotone operators. Our basic assumption is that the
operator possesses both smooth and nonsmooth components. Further, only noisy
observations of the problem data are available. We develop a novel Stochastic
Mirror-Prox (SMP) algorithm for solving s.v.i. and show that with the
convenient stepsize strategy it attains the optimal rates of convergence with
respect to the problem parameters. We apply the SMP algorithm to Stochastic
composite minimization and describe particular applications to Stochastic
Semidefinite Feasability problem and Eigenvalue minimization.


title: Symmetric topological complexity of projective and lens spaces

abstract:
  For real projective spaces, (a) the Euclidean immersion dimension, (b) the
existence of axial maps, and (c) the topological complexity are known to be
three facets of the same problem. But when it comes to embedding dimension, the
classical work of Berrick, Feder and Gitler leaves a small indeterminacy when
trying to identify the existence of Euclidean embeddings of these manifolds
with the existence of symmetric axial maps. As an alternative we show that the
symmetrized version of (c) captures, in a sharp way, the embedding problem.
Extensions to the case of even torsion lens spaces and complex projective
spaces are discussed.


title:
The Classical-Map Hyper-Netted-Chain (CHNC) technique for inhomogeneous
  electron systems. Application to quantum dots

abstract:
  The Classical-map Hyper-Netted-Chain (CHNC) technique is a simple method of
calculating quantum pair-distribution functions, spin-dependent energies, etc.,
of strongly-interacting {\it uniform} systems. We present CHNC calculations of
charge densities and energies of {\it non-uniform} systems, viz., quantum dots,
and compare with quantum Monte Carlo and density -functional results. Results
for up to 210 electrons are reported.


title: Electron relaxation in metals: Theory and exact analytical solutions

abstract:
  The non-equilibrium dynamics of electrons is of a great experimental and
theoretical value providing important microscopic parameters of the Coulomb and
electron-phonon interactions in metals and other cold plasmas. Because of the
mathematical complexity of collision integrals theories of electron relaxation
often rely on the assumption that electrons are in a "quasi-equilibrium" (QE)
with a time-dependent temperature, or on the numerical integration of the
time-dependent Boltzmann equation. We transform the integral Boltzmann equation
to a partial differential Schroedinger-like equation with imaginary time in a
one-dimensional "coordinate" space reciprocal to energy which allows for exact
analytical solutions in both cases of electron-electron and electron-phonon
relaxation. The exact relaxation rates are compared with the QE relaxation
rates at high and low temperatures.


title:
Control of synchronization in coupled neural systems by time-delayed
  feedback

abstract:
  We discuss the synchronization of coupled neurons which are modelled as
FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on
two diffusively coupled subsystems, which can be interpreted as two mutually
interacting neural populations. Each system is prepared in the excitable regime
and subject to independent random fluctuations. In order to modify their
cooperative dynamics, we apply a local external stimulus in form of an extended
time-delayed feedback loop that involves multiple delays weighted by a memory
parameter and investigate if local control applied to a subsystem can allow one
to steer the global cooperative dynamics. Depending on the choice of this new
control parameter, we investigate different measures to quantify the influence
on synchronization: ratio of interspike intervals, power spectrum, interspike
interval distribution, and phase synchronization intervals. We show that the
control method is more robust for increasing memory parameter.


title:
Extreme resistance of super-hydrophobic surfaces to impalement:
  reversible electrowetting related to the impacting/bouncing drop test

abstract:
  The paper reports on the comparison of the wetting properties of
super-hydrophobic silicon nanowires (NWs), using drop impact impalement and
electrowetting (EW) experiments. A correlation between the resistance to
impalement on both EW and drop impact is shown. From the results, it is evident
that when increasing the length and density of NWs: (i) the thresholds for drop
impact and EW irreversibility increase (ii) the contact-angle hysteresis after
impalement decreases. This suggests that the structure of the NWs network could
allow for partial impalement, hence preserving the reversibility, and that EW
acts the same way as an external pressure. The most robust of our surfaces show
a threshold to impalement higher than 35 kPa, while most of the
super-hydrophobic surfaces tested so far have impalement threshold smaller than
10 kPa.


title: Phenomenological aspects of the exotic $T$ quark in 331 models

abstract:
  In the context of 331 models we analyze the phenomenology of exotic $T$
quarks with electric charge 2/3. We establish bounds for the corresponding
masses and mixing angles and study the decay modes $T\to bW$, $tZ$ and $qH$. It
is found that the decays into scalars are strongly dependent on the model
parameters, and can be the dominant ones in a scenario with approximate flavor
symmetry.


title: How markets slowly digest changes in supply and demand

abstract:
  In this article we revisit the classic problem of tatonnement in price
formation from a microstructure point of view, reviewing a recent body of
theoretical and empirical work explaining how fluctuations in supply and demand
are slowly incorporated into prices. Because revealed market liquidity is
extremely low, large orders to buy or sell can only be traded incrementally,
over periods of time as long as months. As a result order flow is a highly
persistent long-memory process. Maintaining compatibility with market
efficiency has profound consequences on price formation, on the dynamics of
liquidity, and on the nature of impact. We review a body of theory that makes
detailed quantitative predictions about the volume and time dependence of
market impact, the bid-ask spread, order book dynamics, and volatility.
Comparisons to data yield some encouraging successes. This framework suggests a
novel interpretation of financial information, in which agents are at best only
weakly informed and all have a similar and extremely noisy impact on prices.
Most of the processed information appears to come from supply and demand
itself, rather than from external news. The ideas reviewed here are relevant to
market microstructure regulation, agent-based models, cost-optimal execution
strategies, and understanding market ecologies.


title: Strangeness production in STAR

abstract:
  We present a summary of strangeness enhancement results comparing data from
Cu+Cu and Au+Au collisions at sqrt(SNN) = 200GeV measured by the STAR
experiment. Relative yields in central Cu+Cu data seem to be higher than the
equivalent sized peripheral Au+Au collision. In addition, strange particle
production from these two systems is compared in terms of a statistical model,
applying a Grand-Canonical ensemble and also applying a canonical correlation
volume for the strange particles. Thermal fit results from the Grand-Canonical
formalism shows little dependence on the system size but, when considering a
strange canonical ensemble, strangeness enhancement shows a strong dependency
on the correlation volume.


title:
Prehomogeneous Affine Representations and Flat Pseudo-Riemannian
  Manifolds

abstract:
  The theory of flat Pseudo-Riemannian manifolds and flat affine manifolds is
closely connected to the topic of prehomogeneous affine representations of Lie
groups. In this article, we exhibit several aspects of this correspondence. At
the heart of our presentation is a development of the theory of characteristic
classes and characters of prehomogeneous affine representations. We give
applications concerning flat affine, as well as Pseudo-Riemannian and
symplectic affine flat manifolds.


title:
3 Dimensional N=8 Supersymmetric Field Theory Revisited: A Superfield
  Formulation

abstract:
  In [arXiv:0808.1677] 3 dimensional field theories are proposed to on-shell
represent N=8 SUSY algebra and SO(7) or SO(4)xSO(4) subgroups of full SO(8)
automorphism. They are theories of 8 scalar and 8 spinor matrix fields with
Yukawa, quartic and sextic self-interactions. This note is devoted to
superfield and off-shell formulation of the theory. Scalar superfields are
proposed to represent scalar supermultiplets. A renormalizable action with
quadratic and quartic self-interactions is proposed to govern their dynamics.


title: Self-adjoint curl operators

abstract:
  We study the exterior derivative as a symmetric unbounded operator on square
integrable 1-forms on a 3D bounded domain $D$. We aim to identify boundary
conditions that render this operator self-adjoint. By the symplectic version of
the Glazman-Krein-Naimark theorem this amounts to identifying complete
Lagrangian subspaces of the trace space of H(curl) equipped with a symplectic
pairing arising from the $\wedge$-product of 1-forms on $\partial D$.
Substantially generalizing earlier results, we characterize Lagrangian
subspaces associated with closed and co-closed traces. In the case of
non-trivial topology of the domain, different contributions from co-homology
spaces also distinguish different self-adjoint extension. Finally, all
self-adjoint extensions discussed in the paper are shown to possess a discrete
point spectrum, and their relationship with curl curl-operators is discussed.


title: Multipartite separability of Laplacian matrices of graphs

abstract:
  Recently, Braunstein et al. [1] introduced normalized Laplacian matrices of
graphs as density matrices in quantum mechanics and studied the relationships
between quantum physical properties and graph theoretical properties of the
underlying graphs. We provide further results on the multipartite separability
of Laplacian matrices of graphs. In particular, we identify complete bipartite
graphs whose normalized Laplacian matrix is multipartite entangled under any
vertex labeling. Furthermore, we give conditions on the vertex degrees such
that there is a vertex labeling under which the normalized Laplacian matrix is
entangled. These results address an open question raised in [1]. Finally, we
extend some of the results in [1,2] to the multipartite case and show that the
Laplacian matrix of any product of graphs (strong, Cartesian, tensor,
categorical, etc.) is multipartite separable.


title:
Measurements of the Semileptonic Decays $\Bb\to D\ell\nub$ and $\Bb\to
  D^*\ell\nub$ Using a Global Fit to $D X\ell\nub$ Final States

abstract:
  Semileptonic $\bar{B}$ decays to $DX\ell\bar{\nu}$ ($\ell=e$ or $mu$) are
selected by reconstructing $D0\ell$ and $D^+\ell$ combinations from a sample of
230 million $\Upsilon(4S) \to B\bar{B}$ decays recorded with the BaBar detector
at the PEPII $e^+e^-$ collider at SLAC. A global fit to these samples in a
3-dimensional space of kinematic variables is used to determine the branching
fractions $\mathcal{B}(B^- \to D0\ell\bar{\nu}) = (2.34 \pm 0.03 \pm 0.13) %$
and $\mathcal{B}(B^- \to D^{*0}\ell\bar{\nu}) = (5.40 \pm 0.02 \pm 0.21)
%$,where the errors are statistical and systematic, respectively. The fit also
determines form factor parameters in a HQET-based parameterization, resulting
in $\rho_D2 = 1.20 \pm 0.04 \pm 0.07$ for $\bar{B} \to D\ell\bar{\nu}$ and
$\rho_{D^*}2 = 1.22 \pm 0.02 \pm 0.07$ for $\bar{B} \to D^*\ell\bar{\nu}$ These
values are used to obtain the product of the CKM matrix element $|V_{cb}|$
times the form factor at the zero recoil point for both $\bar{B} \to
D\ell\bar{\nu}$ decays, $\mathcal{G}(1)|V_{cb}| = (43.1 \pm 0.8 \pm 2.3)\times
10^{-3}$, and for $\bar{B} \to D^*\ell\bar{\nu}$ decays,
$\mathcal{F}(1)|V_{cb}| = (35.9 \pm 0.2 \pm 1.2)\times 10^{-3}$.


title: Deformation Spaces for Affine Crystallographic Groups

abstract:
  We develop the foundations of the deformation theory of compact complete
affine space forms and affine crystallographic groups. Using methods from the
theory of linear algebraic groups we show that these deformation spaces inherit
an algebraic structure from the space of crystallographic homomorphisms. We
also study the properties of the action of the homotopy mapping class groups on
deformation spaces. In our context these groups are arithmetic groups, and we
construct examples of flat affine manifolds where every finite group of mapping
classes admits a fixed point on the deformation space. We also show that the
existence of fixed points on the deformation space is equivalent to the
realisation of finite groups of homotopy equivalences by finite groups of
affine diffeomorphisms. Extending ideas of Auslander we relate the deformation
spaces of affine space forms with solvable fundamental group to deformation
spaces of manifolds with nilpotent fundamental group. We give applications
concerning the classification problem for affine space forms.


title: Modular forms and K3 surfaces

abstract:
  For every known Hecke eigenform of weight 3 with rational eigenvalues we
exhibit a K3 surface over QQ associated to the form. This answers a question
asked independently by Mazur and van Straten. The proof builds on a
classification of CM forms by the second author.


title: Reduced heat flow in light water (H2O) due to heavy water (D2O)

abstract:
  The flow of heat, from top to bottom, in a column of light water can be
decreased by over 1000% with the addition of heavy water. A column of light
water cools from 25 C to 0 C in 11 hours, however, with the addition of heavy
water it takes more than 100 hours. There is a concentration dependence where
the cooling time increases as the concentration of added (D2O) increases, with
a near maximum being reached with as little as 2% of (D2O) added. This
phenomenon will not occur if the water is mixed after the heavy water is added.


title: On the absorption of X-ray bright broad absorption line quasars

abstract:
  Most X-ray studies of BALQSOs found significant (N_H~10^{22-24} cm^{-2})
intrinsic column densities of gas absorbing an underlying typical power-law
continuum emission, in agreement with expectations from radiatively driven
accretion disk wind models. However, direct spectral analysis was performed
only on a limited number of bright sources. We investigate the X-ray emission
of a large BALQSO sample at medium to high redshift (0.8<z<3.7), drawn from the
cross-correlation of SDSS DR5 and 2XMM catalogs. We perform on it
moderate-quality X-ray spectral and hardness ratio analysis, and X-ray/optical
photometry. No or little intrinsic X-ray neutral absorption is found for one
third of the spectroscopically analyzed BALQSO sample (N_H < 4 x 10^{21}
cm^{-2} at 90% confidence level), and lower than typical X-ray absorption is
found in the remaining sources (<N_H> ~ 5 x 10^{22} cm^{-2}) even including the
faintest sources analyzed through hardness ratio analysis. The mean photon
index is Gamma~1.9, with no significant evolution with redshift. The alpha_ox
are typical of radio-quiet broad line AGN, in contrast with the known (from
previous X-ray studies) ``soft X-ray weakness'' of BALQSOs and in agreement
with the lack of X-ray absorption. We found the low-Absorption Index (AI)
subsample to host the lowest X-ray absorbing column densities of the entire
sample. X-ray selected BALQSOs show lower X-ray absorption than purely
optically selected ones, and soft X-ray weakness does not hold for any of them.
Their outflows may be launched by different mechanisms than classical soft
X-ray weak BALQSOs or they may be the tail of the already known population seen
along a different line of sight, in both cases expanding the observational
parameter space for their search and investigation.


title: The stable configuration in acyclic preference-based systems

abstract:
  Acyclic preferences recently appeared as an elegant way to model many
distributed systems. An acyclic instance admits a unique stable configuration,
which can reveal the performance of the system. In this paper, we give the
statistical properties of the stable configuration for three classes of acyclic
preferences: node-based preferences, distance-based preferences, and random
acyclic systems. Using random overlay graphs, we prove using mean-field and
fluid-limit techniques that these systems have an asymptotically continuous
independent rank distribution for a proper scaling, and the analytical solution
is compared to simulations. These results provide a theoretical ground for
validating the performance of bandwidth-based or proximity-based unstructured
systems.


title:
Imaging and manipulating electrons in a 1D quantum dot with Coulomb
  blockade microscopy

abstract:
  Motivated by the recent experiments by the Westervelt group using a mobile
tip to probe the electronic state of quantum dots formed on a segmented
nanowire, we study the shifts in Coulomb blockade peak positions as a function
of the spatial variation of the tip potential, which can be termed "Coulomb
blockade microscopy". We show that if the tip can be brought sufficiently close
to the nanowire, one can distinguish a high density electronic liquid state
from a Wigner crystal state by microscopy with a weak tip potential. In the
opposite limit of a strongly negative tip potential, the potential depletes the
electronic density under it and divides the quantum wire into two partitions.
There the tip can push individual electrons from one partition to the other,
and the Coulomb blockade micrograph can clearly track such transitions. We show
that this phenomenon can be used to qualitatively estimate the relative
importance of the electron interaction compared to one particle potential and
kinetic energies. Finally, we propose that a weak tip Coulomb blockade
micrograph focusing on the transition between electron number N=0 and N=1
states may be used to experimentally map the one-particle potential landscape
produced by impurities and inhomogeneities.


title:
Approximating the volume of unions and intersections of high-dimensional
  geometric objects

abstract:
  We consider the computation of the volume of the union of high-dimensional
geometric objects. While showing that this problem is #P-hard already for very
simple bodies (i.e., axis-parallel boxes), we give a fast FPRAS for all objects
where one can: (1) test whether a given point lies inside the object, (2)
sample a point uniformly, (3) calculate the volume of the object in polynomial
time. All three oracles can be weak, that is, just approximate. This implies
that Klee's measure problem and the hypervolume indicator can be approximated
efficiently even though they are #P-hard and hence cannot be solved exactly in
time polynomial in the number of dimensions unless P=NP. Our algorithm also
allows to approximate efficiently the volume of the union of convex bodies
given by weak membership oracles.
  For the analogous problem of the intersection of high-dimensional geometric
objects we prove #P-hardness for boxes and show that there is no multiplicative
polynomial-time $2^{d^{1-\epsilon}}$-approximation for certain boxes unless
NP=BPP, but give a simple additive polynomial-time $\epsilon$-approximation.


title: A new approach for probing circumbinary disks

abstract:
  Circumbinary disks are considered to exist in a wide variety of astrophysical
objects, e.g., young binary stars, protoplanetary systems, and massive binary
black hole systems in active galactic nuclei (AGNs). However, there is no
definite evidence for the circumbinary disk except for some in a few young
binary star systems. In this Letter, we study possible oscillation modes in
circumbinary disks around eccentric and circular binaries. We find that
progarde, nonaxisymmetric waves are induced in the inner part of the
circumbinary disk by the tidal potential of the binary. Such waves would cause
variabilities in emission line profiles from circumbinary disks. Because of
prograde precession of the waves, the distance between each component of the
binary and the inner edge of the circumbinary disk varies with the beat period
between the precession period of the wave and the binary orbital period. As a
result, light curves from the circumbinary disks are also expected to vary with
the same period. The current study thus provides a new method to detect
circumbinary disks in various astrophysical systems.


title:
Analysis of the differential cross sections for the reaction pp -->
  ppK+K- in view of the K+K- interaction

abstract:
  Measurements of the pp-->ppK+K- reaction, performed with the experiment
COSY-11 at the Cooler Synchrotron COSY, show a significant difference between
the obtained excitation function and theoretical expectations including pp-FSI
>. The discrepancy may be assigned to the influence of K+K- or K-p interaction.
This interaction should manifest itself in the distributions of the
differential cross section. This thesis presents an analysis of event
distributions as a function of the invariant masses of two particle subsystems.
In particular in the analysis two generalizations of the Dalitz plot proposed
by Goldhaber and Nyborg are used. The present Investigations are based on the
experimental data determined by the COSY-11 collaboration from two measurements
at excess energies of Q = 10 MeV and 28 MeV. The experimental distributions are
compared to results of Monte Carlo simulations generated with various
parameters of the K+K- and K-p interaction. The values of the K+K- scattering
length, extracted from two data sets for Q = 10 MeV and 28 MeV amount to:
a_K+K- = (11 +- 8) + i(0 +- 6) fm for Q = 10 MeV, and a_K+K- = (0.2 +-0.2) +
i(0.0 +- 0.5) fm for Q = 28 MeV, Due to the low statistics, the extracted
values have large uncertainties and are consistent with very low values of the
real and imaginary part of the scattering length.


title: Cohomology of quantum groups: An analog of Kostant's Theorem

abstract:
  We prove the analog of Kostant's Theorem on Lie algebra cohomology in the
context of quantum groups. We prove that Kostant's cohomology formula holds for
quantum groups at a generic parameter $q$, recovering an earlier result of
Malikov in the case where the underlying semisimple Lie algebra $\mathfrak{g} =
\mathfrak{sl}(n)$. We also show that Kostant's formula holds when $q$ is
specialized to an $\ell$-th root of unity for odd $\ell \ge h-1$ (where $h$ is
the Coxeter number of $\mathfrak{g}$) when the highest weight of the
coefficient module lies in the lowest alcove. This can be regarded as an
extension of results of Friedlander-Parshall and Polo-Tilouine on the
cohomology of Lie algebras of reductive algebraic groups in prime
characteristic.


title: Searches for hyperbolic extra dimensions at the LHC

abstract:
  In this poster, we present a model of large extra dimensions where the
internal space has the geometry of a hyperbolic disc. Compared with the ADD
model, this model provides a more satisfactory solution to the hierarchy
problem between the electroweak scale and the Planck scale, and it also avoids
constraints from astrophysics. Since there is no known analytic form of the
Kaluza-Klein spectrum for our choice of geometry, we obtain a spectrum based on
a combination of approximations and numerical computations. We study the
possible signatures of our model for hadron colliders, especially the LHC,
where the most important processes are the production of a graviton together
with a hadronic jet or a photon. We find that for the case of hadronic jet
production, it is possible to obtain relatively strong signals, while for the
case of photon production, this is much more difficult.


title: HEP data analysis using jHepWork and Java

abstract:
  A role of Java in high-energy physics and recent progress in development of a
platform-independent data-analysis framework, jHepWork, is discussed. The
framework produces professional graphics and has many libraries for data
manipulation.


title: Flavor symmetry analysis of charmless B --> VP decays

abstract:
  Based upon flavor SU(3) symmetry, we perform global fits to charmless
  B decays into one pseudoscalar meson and one vector meson in the final
states. We consider different symmetry breaking schemes and find that the one
implied by na{\"i}ve factorization is slightly favored over the exact symmetry
case. The $(\bar\rho,\bar\eta)$ vertex of the unitarity triangle (UT)
constrained by our fits is consistent with other methods within errors. We have
found large color-suppressed, electroweak penguin and singlet penguin
amplitudes when the spectator quark ends up in the final-state vector meson.
Nontrivial relative strong phases are also required to explain the data. The
best-fit parameters are used to compute branching ratio and CP asymmetry
observables in all of the decay modes, particularly those in the $B_s$ decays
to be measured at the Tevatron and LHC experiments.


title:
The Golden Modes B^0 -> J/psi K_{S,L} in the Era of Precision Flavour
  Physics

abstract:
  The B^0 -> J/\psi K_{S,L} channels are outstanding probes of CP violation. We
have a detailed look at the associated Standard-Model uncertainties, which are
related to doubly Cabibbo-suppressed penguin contributions, and point out that
these usually neglected effects can actually be taken into account
unambiguously through the CP asymmetries and the branching ratio of the B^0 ->
J/\psi pi^0 decay. Using the most recent B-factory measurements, we find a
negative shift of the extracted value of beta, which softens the tension in the
fits of the unitarity triangle. In addition, this strategy can be used to
constrain a possible new-physics phase in B^0-\bar B^0 mixing. The proposed
strategy is crucial to fully exploit the tremendous accuracies for the search
for this kind of new physics that can be achieved at the LHC and future
super-flavour factories.


title:
The augmented message-matrix approach to deterministic dense coding
  theory

abstract:
  A method is presented for producing analytical results applicable to the
standard two-party deterministic dense coding protocol, wherein communication
of K perfectly distinguishable messages is attainable with the aid of K
selected local unitary operations on one qudit from a pair of entangled qudits
of equal dimension d in a pure state. The method utilizes the properties of a
(d^2)x(d^2) unitary matrix whose initial columns represent message states of
the system used for communication, augmented by sufficiently many additional
orthonormal column vectors so that the resulting matrix is unitary. Using the
unitarity properties of this augmented message-matrix, we produce simple proofs
of previously established results including (i) an upper bound on the value of
the square of the largest Schmidt coefficient, given by d/K, and (ii) the
impossibility of finding a pure state that can enable transmission of K=d^2-1
messages but not d^2. Additional results obtained using the method include
proofs that when K=d+1 the upper bound on the square of the largest Schmidt
coefficient (i) always reduces to at least (1/2)[1+sqrt{(d-2)/(d+2)}], and (ii)
reduces to (d-1)/d in the special case that the identity and shift operators
are two of the selected local unitaries.


title:
Fermionic vacuum polarization by a cylindrical boundary in the cosmic
  string spacetime

abstract:
  The vacuum expectation values of the energy--momentum tensor and the
fermionic condensate are analyzed for a massive spinor field obeying the MIT
bag boundary condition on a cylindrical shell in the cosmic string spacetime.
Both regions inside and outside the shell are considered. By applying to the
corresponding mode-sums a variant of the generalized Abel--Plana formula, we
explicitly extract the parts in the expectation values corresponding to the
cosmic string geometry without boundaries. In this way the renormalization
procedure is reduced to that for the boundary-free cosmic string spacetime. The
parts induced by the cylindrical shell are presented in terms of integrals
rapidly convergent for points away from the boundary. The behavior of the
vacuum densities is investigated in various asymptotic regions of the
parameters. In the limit of large values of the planar angle deficit, the
boundary-induced expectation values are exponentially suppressed. As a special
case, we discuss the fermionic vacuum densities for the cylindrical shell on
the background of the Minkowski spacetime.


title: mu-constancy does not imply constant bi-Lipschitz type

abstract:
  We show that a family of isolated complex hypersurface singularities with
constant Milnor number may fail, in the strongest sense, to have constant
bi-Lipschitz type. Our example is the Briac con--Speder family
$X_t:=\{(x,y,z)\in\C^3 | x^5+z^{15}+y^7z+txy^6=0 \}$ of normal complex surface
germs; we show the germ $(X_0, 0)$ is not bi-Lipschitz homeomorphic with
respect to the inner metric to the germ $(X_t,0)$ for $t\ne 0$.


title: Direct photon production at HERA, the Tevatron and the LHC

abstract:
  We review several most recent prompt-photon measurements at HERA and the
Tevatron and discuss their implication for future measurements at the LHC. A
comparison to Monte Carlo models, as well as to NLO QCD predictions based on
the standard DGLAP and the kT-factorization approaches is discussed. Effects
from renormalization and factorization scale uncertainties, as well as
uncertainties on the gluon density distribution inside a proton are discussed.


title: Instantaneous Quantum Computation

abstract:
  We examine theoretic architectures and an abstract model for a restricted
class of quantum computation, called here instantaneous quantum computation
because it allows for essentially no temporal structure within the quantum
dynamics. Using the theory of binary matroids, we argue that the paradigm is
rich enough to enable sampling from probability distributions that cannot,
classically, be sampled from efficiently and accurately. This paradigm also
admits simple interactive proof games that may convince a skeptic of the
existence of truly quantum effects. Furthermore, these effects can be created
using significantly fewer qubits than are required for running Shor's
Algorithm.


title: Certain free products of graph operator algebras

abstract:
  We develop a notion of a generalized Cuntz-Krieger family of projections and
partial isometries where the range of the partial isometries need not have
trivial intersection. We associate to these generalized Cuntz-Krieger families
a directed graph, with a coloring function on the edge set. We call such a
directed graph an edge-colored directed graph. We then study the $C^*$-algebras
and the non-selfadjoint operator algebras associated to edge-colored directed
graphs. These algebras arise as free products of directed graph algebras with
amalgamation. We then determine the $C^*$-envelopes for a large class of the
non-selfadjoint algebras. Finally, we relate properties of the edge-colored
directed graphs to properties of the associated $C^*$-algebra, including
simplicity and nuclearity. Using the free product description of these algebras
we investigate the $K$-theory of these algebras.


title:
Small-time expansions for the transition distributions of L\'evy
  processes

abstract:
  Let $X$ be a L\'evy process with absolutely continuous L\'evy measure $\nu$.
Small time polynomial expansions of order $n$ in $t$ are obtained for the tails
$P(X_{t}\geq{}y)$ of the process, assuming smoothness conditions on the L\'evy
density away from the origin. By imposing additional regularity conditions on
the transition density $p_{t}$ of $X_{t}$, an explicit expression for the
remainder of the approximation is also given. As a byproduct, polynomial
expansions of order $n$ in $t$ are derived for the transition densities of the
process. The conditions imposed on $p_{t}$ require that its derivatives remain
uniformly bounded away from the origin, as $t\to{}0$; such conditions are shown
to be satisfied for symmetric stable L\'evy processes as well as for other
related L\'evy processes of relevance in mathematical finance. The expansions
seem to correct asymptotics previously reported in the literature.


title:
A Keplerian Limit to Static Spherical Spacetimes in Curvature
  Coordinates

abstract:
  The problem of a test body in the Schwarzschild geometry is investigated in a
Keplerian limit. Beginning with the Schwarzschild metric, a solution to the
limited case of approximately elliptical (Keplerian) motion is derived in terms
of trigonometric functions. This solution is similar in form to that derived
from Newtonian mechanics, and includes first-order corrections describing three
effects due to general relativity: precession; reduced radial coordinate; and
increased eccentricity. The quantitative prediction of increased eccentricity
may provide an additional observational test of general relativity. By analogy
with Keplerian orbits, approximate orbital energy parameters are defined in
terms of a relativistic eccentricity, providing first-order corrections to
Newtonian energies for elliptical orbits. The first-order relativistic equation
of orbit is demonstrated to be a limiting case of a very accurate
self-consistent solution. This self-consistent solution is supported by exact
numerical solutions to the Schwarzschild geometry, displaying remarkable
agreement. A more detailed energy parameterization is investigated using the
relativistic eccentricity together with the apsides derived from the
relativistic effective potential in support of the approximate energy
parameters defined using only first-order corrections. The methods and
approximations describing this Keplerian limit are applied to more general
static spherically-symmetric geometries. Specifically, equations of orbit and
energy parameters are also derived in this Keplerian limit for the
Reissner-Nordstr\"{o}m and Schwarzschild-de Sitter metrics.


title: Mean-field effects in the Galloway-Proctor flow

abstract:
  The coefficients defining the mean electromotive force in a Galloway-Proctor
flow are determined. This flow shows a two-dimensional pattern and is helical.
The pattern wobbles in its plane. Apart from one exception a circular motion of
the flow pattern is assumed. This corresponds to one of the cases considered
recently by Courvoisier, Hughes and Tobias (2006, Phys. Rev. Lett., 96,
034503). An analytic theory of the alpha effect and related effects in this
flow is developed within the second-order correlation approximation and a
corresponding fourth-order approximation. In the validity range of these
approximations there is an alpha effect but no gamma effect, or pumping effect.
Numerical results obtained with the test-field method, which are independent of
these approximations, confirm the results for alpha and show that gamma is in
general nonzero. Both alpha and gamma show a complex dependency on the magnetic
Reynolds number and other parameters that define the flow, that is, amplitude
and frequency of the wobbling motion. Some results for the magnetic diffusivity
eta_t and a related quantity are given, too. Finally a result for alpha in the
case of a randomly varying flow without the aforementioned circular motion is
presented. This flow may be a more appropriate model for studying the alpha
effect and related effects in flows that are statistical isotropic in a plane.


title: The Properties of Early-type Stars in the Magellanic Clouds

abstract:
  The past decade has witnessed impressive progress in our understanding of the
physical properties of massive stars in the Magellanic Clouds, and how they
compare to their cousins in the Galaxy. I summarise new results in this field,
including evidence for reduced mass-loss rates and faster stellar rotational
velocities in the Clouds, and their present-day compositions. I also discuss
the stellar temperature scale, emphasizing its dependence on metallicity across
the entire upper-part of the Hertzsprung-Russell diagram.


title:
Estimating divergence functionals and the likelihood ratio by convex
  risk minimization

abstract:
  We develop and analyze $M$-estimation methods for divergence functionals and
the likelihood ratios of two probability distributions. Our method is based on
a non-asymptotic variational characterization of $f$-divergences, which allows
the problem of estimating divergences to be tackled via convex empirical risk
optimization. The resulting estimators are simple to implement, requiring only
the solution of standard convex programs. We present an analysis of consistency
and convergence for these estimators. Given conditions only on the ratios of
densities, we show that our estimators can achieve optimal minimax rates for
the likelihood ratio and the divergence functionals in certain regimes. We
derive an efficient optimization algorithm for computing our estimates, and
illustrate their convergence behavior and practical viability by simulations.


title: More on superstring chiral measures

abstract:
  In this paper we study the expressions of the superstring chiral measures for
$g\leq 5$. We obtain certain new expressions which are functions of higher
powers of theta constants. For $g=3$ we show that the measures can be written
in terms of fourth power of theta constants and for $g=4$ in terms of squares
of theta constants. In both cases the forms $\Xi_8^{(g)}[0^{(g)}]$ appearing in
the expression of the measures are defined on the whole Siegel upper half
space. Instead, for $g=5$ we find a form $\Xi_8^{(5)}[0^{(5)}]$ which is a
polynomial in the classical theta constants, well defined on the Siegel upper
half space and satisfying some suitable constraints on the moduli space of
curves (and not on the whole Siegel upper half space) that could be a candidate
for the genus five superstring measure. Moreover, we discuss the problem of the
uniqueness of this form in genus five. We also determine the dimension of
certain spaces of modular forms and reinterpret the vanishing of the
cosmological constant in terms of group representations.