title:
Multi-Color Photometry of the Galactic Globular Cluster M75 = NGC 6864.
  A New Sensitive Metallicity Indicator and the Position of the Horizontal
  Branch in UV

abstract:
  We carry out and analyze new multi-color photometry of the Galactic globular
cluster (GC) M75 in UBVI and focus on the brighter sequences of the color-
magnitude diagram (CMD), with particular emphasis on their location in U-based
CMD. Specifically, we study the level both of the horizontal (HB) and red giant
branches (RGB) relative to the main-sequence turnoff (TO) in the U magnitude.
Along with the presented photometry of M75, we use our collection of
photometric data on GCs belonging to the metal-poor range, [Fe/H]zw<-1.1 dex,
obtained from observations with different equipment, but calibrated by standard
stars situated in the observed cluster fields. We confirm our earlier finding,
and extend it to a larger magnitude range.We demonstrate that DeltaU_{TO}^{BHB}
expressing the difference in U magnitude between the TO point and the level of
the blue HB, near its red boundary, of the metal-poor GCs observed with the
EMMI camera of the NTT/ESO telescope is about 0.4-0.5 mag smaller as compared
to GCs observed with the 100" telescope and 1.3 m Warsaw telescope of the Las
Campanas Observatory. At the same time, Delta U_{TO}^{RGB}, the difference in U
magnitude between the TO and RGB inflection (brightest) points, does not show
such an apparent dependence on the characteristics of U filters used, but it
depends on cluster metallicity. We have shown, for the first time, the
dependence of the parameter DeltaU_{TO}^{RGB} on [Fe/H] and have estimated its
analytical expression, by assuming a linear relation between the parameter and
metallicity. Its slope, Delta U_{TO}^{RGB}/Delta [Fe/H]~1.2 mag/dex, is approx.
a factor of two steeper than that of the dependence of the RGB bump position in
the V magnitude on metallicity. The asymptotic giant branch (AGB) clump and
features of the RGB luminosity function (LF) of M75 are also discussed.


title: Visible Points on Curves over Finite Fields

abstract:
  For a prime $p$ and an absolutely irreducible modulo $p$ polynomial $f(U,V)
\in \Z[U,V]$ we obtain an asymptotic formulas for the number of solutions to
the congruence $f(x,y) \equiv a \pmod p$ in positive integers $x \le X$, $y \le
Y$, with the additional condition $\gcd(x,y)=1$. Such solutions have a natural
interpretation as solutions which are visible from the origin. These formulas
are derived on average over $a$ for a fixed prime $p$, and also on average over
$p$ for a fixed integer $a$.


title: A Three-Stage Search for Supermassive Black Hole Binaries in LISA Data

abstract:
  Gravitational waves from the inspiral and coalescence of supermassive
black-hole (SMBH) binaries with masses ~10^6 Msun are likely to be among the
strongest sources for the Laser Interferometer Space Antenna (LISA). We
describe a three-stage data-analysis pipeline designed to search for and
measure the parameters of SMBH binaries in LISA data. The first stage uses a
time-frequency track-search method to search for inspiral signals and provide a
coarse estimate of the black-hole masses m_1, m_2 and of the coalescence time
of the binary t_c. The second stage uses a sequence of matched-filter template
banks, seeded by the first stage, to improve the measurement accuracy of the
masses and coalescence time. Finally, a Markov Chain Monte Carlo search is used
to estimate all nine physical parameters of the binary. Using results from the
second stage substantially shortens the Markov Chain burn-in time and allows us
to determine the number of SMBH-binary signals in the data before starting
parameter estimation. We demonstrate our analysis pipeline using simulated data
from the first LISA Mock Data Challenge. We discuss our plan for improving this
pipeline and the challenges that will be faced in real LISA data analysis.


title: Light Logics and Optimal Reduction: Completeness and Complexity

abstract:
  Typing of lambda-terms in Elementary and Light Affine Logic (EAL, LAL, resp.)
has been studied for two different reasons: on the one hand the evaluation of
typed terms using LAL (EAL, resp.) proof-nets admits a guaranteed polynomial
(elementary, resp.) bound; on the other hand these terms can also be evaluated
by optimal reduction using the abstract version of Lamping's algorithm. The
first reduction is global while the second one is local and asynchronous. We
prove that for LAL (EAL, resp.) typed terms, Lamping's abstract algorithm also
admits a polynomial (elementary, resp.) bound. We also show its soundness and
completeness (for EAL and LAL with type fixpoints), by using a simple geometry
of interaction model (context semantics).


title:
Superfield formulation of 4D, N=1 massless higher spin gauge field
  theory and supermatrix model

abstract:
  We study the relation between a supermatrix model and the free 4D, N=1
supersymmetric field theory of a massless supermultiplet with spins (3, 5/2).
In order to do this, we construct a superfield formulation of the theory. We
show that solutions of the equations of motion for the supermultiplet (3, 5/2)
satisfy the equations of motion of a supermatrix model.


title: An Abstract Regularity Lemma

abstract:
  We extend Szemeredi's Regularity Lemma (SRL) to abstract measure spaces. Our
main aim is to find general conditions under which the original proof of
Szemeredi still works. To illustrate that our approach has some merit, we
outline several applications. Some of these applications seem to be tailored to
our approach: in particular, we are not aware of any alternative proofs.


title: Tilting instability in negative-\gamma rotating nuclei

abstract:
  Based on the cranking model and the random phase approximation, we point out
that the wobbling excitation on top of the s band in ^{182}Os is stable against
angular momentum tilting. This is consistent with the general trend that the
wobbling excitations in \gamma<0 rotating nuclei are more stable than those in
\gamma>0 ones found in our previous studies. In higher N isotopes known to be
\gamma soft, however, a different type of tilting instability is expected. Its
possible correspondence to the experimental data is also discussed.


title: Optimum Linear LLR Calculation for Iterative Decoding on Fading Channels

abstract:
  On a fading channel with no channel state information at the receiver,
calculating true log-likelihood ratios (LLR) is complicated. Existing work
assume that the power of the additive noise is known and use the expected value
of the fading gain in a linear function of the channel output to find
approximate LLRs. In this work, we first assume that the power of the additive
noise is known and we find the optimum linear approximation of LLRs in the
sense of maximum achievable transmission rate on the channel. The maximum
achievable rate under this linear LLR calculation is almost equal to the
maximum achievable rate under true LLR calculation. We also observe that this
method appears to be the optimum in the sense of bit error rate performance
too. These results are then extended to the case that the noise power is
unknown at the receiver and a performance almost identical to the case that the
noise power is perfectly known is obtained.


title: On Carmichael's Conjecture

abstract:
  In this article we prove that equation $\phi(x)=n$, for a fixed $n$, admits a
finite number of solutions, we find the general form of these solutions, and we
show that: if $x_0$ is a unique solution of this equation then $x_0$ is a
product of a very large number of primes (we conjecture that the number of such
primes is infinite).


title:
Modeling transcription factor binding events to DNA using a random
  walker/jumper representation on a 1D/2D lattice with different affinity sites

abstract:
  Surviving in a diverse environment requires corresponding organism responses.
At the cellular level, such adjustment relies on the transcription factors
(TFs) which must rapidly find their target sequences amidst a vast amount of
non-relevant sequences on DNA molecules. Whether these transcription factors
locate their target sites through a 1D or 3D pathway is still a matter of
speculation. It has been suggested that the optimum search time is when the
protein equally shares its search time between 1D and 3D diffusions. In this
paper, we study the above problem using a Monte Carlo simulation by considering
a very simple physical model. A 1D strip, representing a DNA, with a number of
low affinity sites, corresponding to non-target sites, and high affinity sites,
corresponding to target sites, is considered and later extended to a 2D strip.
We study the 1D and 3D exploration pathways, and combinations of the two modes
by considering three different types of molecules: a walker that randomly walks
along the strip with no dissociation; a jumper that represents dissociation and
then re-association of a TF with the strip at later time at a distant site; and
a hopper that is similar to the jumper but it dissociates and then
re-associates at a faster rate than the jumper. We analyze the final
probability distribution of molecules for each case and find that TFs can
locate their targets fast enough even if they spend 15% of their search time
diffusing freely in the solution. This indeed agrees with recent experimental
results obtained by Elf et al. 2007 and is in contrast with theoretical
expectation.


title:
Retired A Stars and Their Companions: Exoplanets Orbiting Three
  Intermediate-Mass Subgiants

abstract:
  We report precision Doppler measurements of three intermediate-mass subgiants
from Lick and Keck Observatories. All three stars show variability in their
radial velocities consistent with planet-mass companions in Keplerian orbits.
We find a planet with a minimum mass of 2.5 Mjup in a 351.5 day orbit around HD
192699, a planet with a minimum mass of 2.0 Mjup in a 341.1 day orbit around HD
210702, and a planet with a minimum mass of 0.61 Mjup in a 297.3 day orbit
around HD 175541. Stellar mass estimates from evolutionary models indicate that
all of these stars were formerly A-type dwarfs with masses ranging from 1.65 to
1.85 Msun. These three long-period planets would not have been detectable
during their stars' main-sequence phases due to the large rotational velocities
and stellar jitter exhibited by early-type dwarfs. There are now 9 "retired"
(evolved) A-type stars (Mstar > 1.6 Msun) with known planets. All 9 planets
orbit at distances a \geq 0.78 AU, which is significantly different than the
semimajor axis distribution of planets around lower-mass stars. We examine the
possibility that the observed lack of close-in planets is due to engulfment by
their expanding host stars, but we find that this explanation is inadequate
given the relatively small stellar radii of K giants (Rstar < 32 Rsun = 0.15
AU) and subgiants (Rstar < 7 Rsun = 0.03 AU). Instead, we conclude that planets
around intermediate-mass stars reside preferentially beyond ~0.8 AU, which may
be a reflection of different formation and migration histories of planets
around A-type stars.


title:
Classical Heisenberg Hamiltonian Solution of Oriented Spinel
  Ferrimagnetic Thin Films

abstract:
  The classical Heisenberg Hamiltonian was solved for oriented spinel thin and
thick cubic ferrites. The dipole matrix of complicated cubic cell could be
simplified into the form of dipole Matrix of simple cubic cells. This study was
confined only to the highly oriented thin films of ferrite. The variation of
total energy of Nickel ferrite thin films with angle and number of layers was
investigated. Also the change of energy with stress induced anisotropy for
Nickel ferrite films with N=5 and 1000 has been studied. Films with the
magnetic moments ratio 1.86 can be easily oriented in 90 direction when N is
greater than 400.


title: Another Odd Thing About Unparticle Physics

abstract:
  The peculiar propagator of scale invariant unparticles has phases that
produce unusual patterns of interference with standard model processes. We
illustrate some of these effects in $e^+e^-\to\mu^+\mu^-$.


title:
Existence and Stability for Fokker-Planck equations with log-concave
  reference measure

abstract:
  We study Markov processes associated with stochastic differential equations,
whose non-linearities are gradients of convex functionals. We prove a general
result of existence of such Markov processes and a priori estimates on the
transition probabilities. The main result is the following stability property:
if the associated invariant measures converge weakly, then the Markov processes
converge in law. The proofs are based on the interpretation of a Fokker-Planck
equation as the steepest descent flow of the relative Entropy functional in the
space of probability measures, endowed with the Wasserstein distance.
Applications include stochastic partial differential equations and convergence
of equilibrium fluctuations for a class of random interfaces.


title:
Witnessing the formation of a galaxy cluster at z=0.485: optical and
  X-ray properties of RX J1117.4+0743 ([VMF 98] 097)

abstract:
  We present a multiwavelength study of the poor cluster RX J1117.4+0743 ([VMF
98] 097) at z=0.485, based on GMOS/Gemini South g', r' photometry and
spectroscopy, and XMM-Newton observations. We examine its nature and
surroundings by analyzing the projected galaxy distribution, the galaxy
velocity distribution, the weak-lensing mass reconstruction, and the X-ray
spectroscopy and imaging. The cluster shows a complex morphology. It is
composed by at least two structures along the line-of-sight, with velocity
dispersions of 592+-82 km s^-1 and 391+-85 km s^-1 respectively. Other
structures are also detected in X-ray, in the galaxy projected number density
map, and by weak-lensing. One of these clumps, could be gravitationally bound
and associated to the main cluster. The derived temperature and bolometric
X-ray luminosity reveal that [VMF 98] 097 behave like a normal cluster, in
agreement with Lx-Tx correlation found for both local (z=0) and moderate
redshift (z~0.4) clusters. We find that the mass determination inferred from
weak-lensing is in average 3 to 4.8 times higher (depending on the model
assumed) than the X-ray mass. We have two possible explanations for this
discrepancy: i) the cluster is in non-equilibrium, then the deviation of the
X-ray estimated mass from the true value can be as high as a factor of two; ii)
the intervening mass along the line-of-sight of the cluster is producing an
over-estimation of the weak-lensing mass. Based on the analysis presented, we
conclude that [VMF 98] 097 is a perturbed cluster with at least two
substructures in velocity space and with other nearby structures at projected
distances of about 1 h^-1 Mpc. This cluster is an example of a poor cluster
caught in the process of accreting sub-structures to become a rich cluster.


title: Iron Line Profiles from Relativistic Thick Accretion Disk

abstract:
  We present a new code for calculating the Fe Kalpha line profiles from
relativistic accretion disks with finite thickness around a rotating black
hole. The thin Keplerian accretion disk must become thicker and sub-Keplerian
with increasing accretion rates. We here embark on, for the first time, a fully
relativistic computation which is aimed at gaining an insight into the effects
of geometrical thickness and the sub-Keplerian orbital velocity on the line
profiles. This code is also well-suited to produce accretion disk images.


title: GRB blastwaves through wind-shaped circumburst media

abstract:
  Context:A significant fraction of progenitors for long gamma-ray bursts
(GRBs) are believed to be massive stars. The investigation of long GRBs
therefore requires modeling the propagation of ultra-relativistic blastwaves
through the circumburst medium surrounding massive stars. We simulate the
expansion of an isotropic, adiabatic relativistic fireball into the wind-shaped
medium around a massive GRB progenitor. The circumburst medium is composed of a
realistically stratified stellar wind zone up to its termination shock,
followed by a region of shocked wind characterized by a constant density. Aims:
We followed the evolution of the blastwave through all its stages, including
the extremely rapid acceleration up to a Lorentz factor 75 flow, its
deceleration by interaction with stellar wind, its passage of the wind
termination shock, until its propagation through shocked wind. Methods: We used
the adaptive mesh refinement versatile advection code to follow the evolution
of the fireball. Results: We show that the acceleration from purely thermal to
ultra-relativistic kinetic regimes is abrupt and produces an internally
structured blastwave. We resolved the structure of this ultra-relativistic
shell in all stages, thanks to the adaptive mesh. We comment on the dynamical
roles played by forward and reverse shock pairs in the phase of interaction
with the free stellar wind and clearly identify the complex shock-dominated
structure created when the shell crosses the terminal shock. Conclusion: We
show that in our model where the terminal shock is taken relatively close to
the massive star, the phase of self-similar deceleration of Blandford-McKee
type can only be produced in the constant density, shocked wind zone.


title:
Cooling of a Micro-mechanical Resonator by the Back-action of Lorentz
  Force

abstract:
  Using a semi-classical approach, we describe an on-chip cooling protocol for
a micro-mechanical resonator by employing a superconducting flux qubit. A
Lorentz force, generated by the passive back-action of the resonator's
displacement, can cool down the thermal motion of the mechanical resonator by
applying an appropriate microwave drive to the qubit. We show that this onchip
cooling protocol, with well-controlled cooling power and a tunable response
time of passive back-action, can be highly efficient. With feasible
experimental parameters, the effective mode temperature of a resonator could be
cooled down by several orders of magnitude.


title: Ultra-High Energy Cosmic Rays and the GeV-TeV Diffuse Gamma-Ray Flux

abstract:
  Ultra-high energy cosmic ray protons accelerated in astrophysical objects
produce secondary electromagnetic cascades during propagation in the cosmic
microwave and infrared backgrounds. We show that such cascades can contribute
between ~1% and ~50% of the GeV-TeV diffuse photon flux measured by the EGRET
experiment. The GLAST satellite should have a good chance to discover this
flux.


title:
Fermionic formulas for (1,p) logarithmic model characters in \Phi_{2,1}
  quasiparticle realisation

abstract:
  We give expressions for the characters of $(1,p)$ logarithmic conformal field
models in the Gordon-type form. The formulas are obtained in terms of
``quasiparticles'' that are Virasoro $\Phi_{2,1}$ primary fields and generalize
the symplectic fermions.


title:
N=2 supergravity in three dimensions and its Godel supersymmetric
  background

abstract:
  The four dimensional Godel spacetime is known to have the structure M_3 x R.
It is also known that the three-dimensional factor M_3 is an exact solution of
three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in
this paper a N=2 supergravity extension for this action and prove that the
Godel background preserves half of all supersymmetries.


title: Is diversity good?

abstract:
  Prominent ethical and policy issues such as affirmative action and female
enrollment in science and engineering revolve around the idea that diversity is
good. However, even though diversity is an ambiguous concept, a precise
definition is seldom provided. We show that diversity may be construed as a
factual description, a craving for symmetry, an intrinsic good, an instrumental
good, a symptom, or a side effect. These acceptions differ vastly in their
nature and properties. The first one cannot lead to any action and the second
one is mistaken. Diversity as intrinsic good is a mere opinion, which cannot be
concretely applied; moreover, the most commonly invoked forms of diversity
(sexual and racial) are not intrinsically good. On the other hand, diversity as
instrumental good can be evaluated empirically and can give rise to policies,
but these may be very weak. Finally, symptoms and side effects are not actually
about diversity. We consider the example of female enrollment in science and
engineering, interpreting the various arguments found in the literature in
light of this polysemy.
  Keywords: ethics, policy, higher education, female students, minority
students, affirmative action


title:
Coupled Painlev\'e III systems with affine Weyl group symmetry of types
  $B_5^{(1)},D_5^{(1)}$ and $D_6^{(2)}$

abstract:
  We find and study four kinds of five-parameter family of six-dimensional
coupled Painlev\'e III systems with affine Weyl group symmetry of types
$D_5^{(1)},B_5^{(1)}$ and $D_6^{(2)}$. We show that each system is equivalent
by an explicit birational and symplectic transformation, respectively. We also
show that we characterize each system from the viewpoint of holomorphy.


title: Dirac quasinormal modes of D-dimensional de Sitter spacetime

abstract:
  We find exact solutions to the Dirac equation in D-dimensional de Sitter
spacetime. Using these solutions we analytically calculate the de Sitter
quasinormal (QN) frequencies of the Dirac field. For the massive Dirac field
this computation is similar to that previously published for massive fields of
half-integer spin moving in four dimensions. However to calculate the QN
frequencies of the massless Dirac field we must use distinct methods in odd and
even dimensions, therefore the computation is different from that already known
for other massless fields of integer spin.


title: The young, wide and very low mass visual binary LOri167

abstract:
  We look for wide, faint companions around members of the 5 Myr Lambda Orionis
open cluster. We used optical, near-infrared, and Spitzer/IRAC photometry. We
report the discovery of a very wide very low mass visual binary, LOri167,
formed by a brown dwarf and a planetary-mass candidate located at 5 arcsec,
which seems to belong to the cluster. We derive Teff of 2125 and 1750 K. If
they are members, comparisons with theoretical models indicate masses of 17
(20-15) Mjup and 8 (13-7) Mjup, with a projected separation of 2000 AU. Such a
binary system would be difficult to explain in most models, particularly those
where substellar objects form in the disks surrounding higher mass stars.


title:
Discontinuity of the Lempert function and the Kobayashi--Royden metric
  of the spectral ball

abstract:
  Some results on the discontinuity properties of the Lempert function and the
Kobayashi pseudometric in the spectral ball are given.


title: Tropical spectral curves and integrable cellular automata

abstract:
  We propose a method to study the integrable cellular automata with periodic
boundary conditions, via the tropical spectral curve and its Jacobian. We
introduce the tropical version of eigenvector map from the isolevel set to a
divisor class on the tropical hyperelliptic curve. We also provide some
conjectures related to the divisor class and the Jacobian. Finally, we apply
our method to the periodic box and ball system and clarify the
algebro-geometrical meaning of the real torus introduced for its initial value
problem.


title:
General solutions of the Wess-Zumino consistency condition for the Weyl
  anomalies

abstract:
  The general solutions of the Wess-Zumino consistency condition for the
conformal (or Weyl, or trace) anomalies are derived. The solutions are
obtained, in arbitrary dimensions, by explicitly computing the cohomology of
the corresponding Becchi-Rouet-Stora-Tyutin differential in the space of
integrated local functions at ghost number unity. This provides a purely
algebraic, regularization-independent classification of the Weyl anomalies in
arbitrary dimensions. The so-called type-A anomaly is shown to satisfy a
non-trivial descent of equations, similarly to the non-Abelian chiral anomaly
in Yang-Mills theory.


title:
Conservation laws. Generation of physical fields. Principles of field
  theories

abstract:
  In the paper the role of conservation laws in evolutionary processes, which
proceed in material systems (in material media) and lead to generation of
physical fields, is shown using skew-symmetric differential forms.
  In present paper the skew-symmetric differential forms on deforming
(nondifferentiable) manifolds were used in addition to exterior forms, which
have differentiable manifolds as a basis. Such skew-symmetric forms (which were
named evolutionary ones since they possess evolutionary properties), as well as
the closed exterior forms, describe the conservation laws. But in contrast to
exterior forms, which describe conservation laws for physical fields, the
evolutionary forms correspond to conservation laws for material systems.
  The evolutionary forms possess an unique peculiarity, namely, the closed
exterior forms are obtained from these forms. It is just this that enables one
to describe the process of generation of physical fields, to disclose
connection between physical fields and material systems and to resolve many
problems of existing field theories.


title:
Observation of Multiple folding Pathways of beta-hairpin Trpzip2 from
  Independent Continuous Folding Trajectories

abstract:
  We report 10 successfully folding events of trpzip2 by molecular dynamics
simulation. It is found that the trizip2 can fold into its native state through
different zipper pathways, depending on the ways of forming hydrophobic core.
We also find a very fast non-zipper pathway. This indicates that there may be
no inconsistencies in the current pictures of beta-hairpin folding mechanisms.
These pathways occur with different probabilities. zip-out is the most probable
one. This may explain the recent experiment that the turn formation is the
rate-limiting step for beta-hairpin folding.


title: Physical Layer Network Coding

abstract:
  A main distinguishing feature of a wireless network compared with a wired
network is its broadcast nature, in which the signal transmitted by a node may
reach several other nodes, and a node may receive signals from several other
nodes simultaneously. Rather than a blessing, this feature is treated more as
an interference-inducing nuisance in most wireless networks today (e.g., IEEE
802.11). This paper shows that the concept of network coding can be applied at
the physical layer to turn the broadcast property into a capacity-boosting
advantage in wireless ad hoc networks. Specifically, we propose a
physical-layer network coding (PNC) scheme to coordinate transmissions among
nodes. In contrast to straightforward network coding which performs coding
arithmetic on digital bit streams after they have been received, PNC makes use
of the additive nature of simultaneously arriving electromagnetic (EM) waves
for equivalent coding operation. And in doing so, PNC can potentially achieve
100% and 50% throughput increases compared with traditional transmission and
straightforward network coding, respectively, in multi-hop networks. More
specifically, the information-theoretic capacity of PNC is almost double that
of traditional transmission in the SNR region of practical interest (higher
than 0dB). We believe this is a first paper that ventures into EM-wave-based
network coding at the physical layer and demonstrates its potential for
boosting network capacity.


title:
Coupled Painlev\'e III systems with affine Weyl group symmetry of types
  $B_4^{(1)}$, $D_4^{(1)}$ and $D_5^{(2)}$

abstract:
  We find and study four kinds of a 4-parameter family of four-dimensional
coupled Painlev\'e III systems with affine Weyl group symmetry of types
$B_4^{(1)}$, $D_4^{(1)}$ and $D_5^{(2)}$. We also show that these systems are
equivalent by an explicit birational and symplectic transformation,
respectively.


title: Effective interactions and large-scale diagonalization for quantum dots

abstract:
  The widely used large-scale diagonalization method using harmonic oscillator
basis functions (an instance of the Rayleigh-Ritz method, also called a
spectral method, configuration-interaction method, or ``exact diagonalization''
method) is systematically analyzed using results for the convergence of Hermite
function series. We apply this theory to a Hamiltonian for a one-dimensional
model of a quantum dot. The method is shown to converge slowly, and the
non-smooth character of the interaction potential is identified as the main
problem with the chosen basis, while on the other hand its important advantages
are pointed out. An effective interaction obtained by a similarity
transformation is proposed for improving the convergence of the diagonalization
scheme, and numerical experiments are performed to demonstrate the improvement.
Generalizations to more particles and dimensions are discussed.


title:
Coupled Painlev\'e VI systems in dimension four with affine Weyl group
  symmetry of types $B_6^{(1)}$, $D_6^{(1)}$ and $D_7^{(2)}$

abstract:
  We find four kinds of six-parameter family of coupled Painlev\'e VI systems
in dimension four with affine Weyl group symmetry of types $B_6^{(1)}$,
$D_6^{(1)}$ and $D_7^{(2)}$. Each system is the first example which gave
higher-order Painlev\'e equations of types $B_l^{(1)},D_l^{(1)}$ and
$D_l^{(2)}$, respectively. Each system can be expressed as a polynomial
Hamiltonian system. We show that these systems are equivalent by an explicit
birational and symplectic transformation, respectively. By giving each
holomorphy condition, we can recover each system. These symmetries, holomorphy
conditions and invariant divisors are new. We also give an explicit description
of a confluence process from the system of type $D_6^{(1)}$ to the system of
type $A_5^{(1)}$ by taking the coupling confluence process from the Painlev\'e
VI system to the Painlev\'e V system.


title:
Strong-field approximation for Coulomb explosion of H_2^+ by short
  intense laser pulses

abstract:
  We present a simple quantum mechanical model to describe Coulomb explosion of
H$_2^+$ by short, intense, infrared laser pulses. The model is based on the
length gauge version of the molecular strong-field approximation and is valid
for pulses shorter than 50 fs where the process of dissociation prior to
ionization is negligible. The results are compared with recent experimental
results for the proton energy spectrum [I. Ben-Itzhak et al., Phys. Rev. Lett.
95, 073002 (2005), B. D. Esry et al., Phys. Rev. Lett. 97, 013003 (2006)]. The
predictions of the model reproduce the profile of the spectrum although the
peak energy is slightly lower than the observations. For comparison, we also
present results obtained by two different tunneling models for this process.


title:
Magnetic Coupling and Long-Range Order in the Spin-Chain Sulphide
  Ba2cos3

abstract:
  In this paper, we report on the magnetic properties of Ba2CoS3, a spin-chain
compound recently found to be the first Co2+ containing one-dimensional
sulphide to show metallic-like conductivity and negative magnetoresistance. We
carried out an in-depth experimental investigation of the local structure of
the cobalt atoms, and ab-initio calculations of the resulting electronic
configuration of Co2+. From theoretical considerations, the intra-chain
coupling was predicted to be antiferromagnetic. Experimentally, several
estimates of this magnetic coupling were derived by analysing the temperature
dependence of the magnetic susceptibility. Magnetic and heat capacity
measurements also provided evidence of a three-dimensional antiferromagnetic
ordering, a feature indicative of a noticeable inter-chain coupling in this
quasi-1D system.


title: Lineare Rekurrenzen, Potenzreihen und ihre erzeugenden Funktionen

abstract:
  Diese kurze Einfuehrung in Theorie und Berechnung linearer Rekurrenzen
versucht, eine Luecke in der Literatur zu fuellen. Zu diesem Zweck sind viele
ausfuehrliche Beispiele angegeben.
  This short introduction to theory and usage of linear recurrences tries to
fill a gap in the literature by giving many extensive examples.


title: Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter

abstract:
  Motivated by the duality conjecture of Dijkgraaf and Vafa between
supersymmetric gauge theories and matrix models, we derive the effective
superpotential of N=1 supersymmetric gauge theory with gauge group SO(N_c) and
arbitrary tree level polynomial superpotential of one chiral superfield in the
adjoint representation and N_f fundamental matter multiplets. For a special
point in the classical vacuum where the gauge group is unbroken, we show that
the effective superpotential matches with that obtained from the geometric
engineering approach.


title: Un module inversible associ\'e au ruban de M\"obius, et quelques autres

abstract:
  After attaching explicitly to the M\"obius strip an invertible module over
the ring of real polynomial functions on the real circle, we expound as
directly as possible the many faces and the main algebraic properties of
invertible modules. The goal is to make this algebraic concept accessible to a
wide mathematical audience.


title: On Larkin-Imry-Ma State of 3He-A in Aerogel

abstract:
  Superfluid 3He-A shares the properties of spin nematic and chiral orbital
ferromagnet. Its order parameter is characterized by two vectors d and l. This
doubly anisotropic superfluid, when it is confined in aerogel, represents the
most interesting example of a system with continuous symmetry in the presence
of random anisotropy disorder. We discuss the Larkin-Imry-Ma state, which is
characterized by the short-range orientational order of the vector l, while the
long-range orientational order is destroyed by the collective action of the
randomly oriented aerogel strings. On the other hand, sufficiently large
regular anisotropy produced either by the deformation of the aerogel or by
applied superflow suppresses the Larkin-Imry-Ma effect leading to the uniform
orientation of the vector l. This interplay of regular and random anisotropy
allows us to study many different effects.


title: Substrate temperature changes during MBE growth of GaMnAs

abstract:
  Remarkably big increase of the substrate temperature during the
low-temperature MBE growth of GaMnAs layers is observed by means of band gap
spectroscopy. It is explained and simulated in terms of changes in the
absorption/emission characteristics of the growing layer. Options for the
temperature variation damping are discussed.


title:
Testing the gamma-ray burst variability/peak luminosity correlation on a
  Swift homogeneous sample

abstract:
  We test the gamma-ray burst correlation between temporal variability and peak
luminosity of the $\gamma$-ray profile on a homogeneous sample of 36 Swift/BAT
GRBs with firm redshift determination. This is the first time that this
correlation can be tested on a homogeneous data sample. The correlation is
confirmed, as long as the 6 GRBs with low luminosity (<5x10^{50} erg s^{-1} in
the rest-frame 100-1000 keV energy band) are ignored. We confirm that the
considerable scatter of the correlation already known is not due to the
combination of data from different instruments with different energy bands, but
it is intrinsic to the correlation itself. Thanks to the unprecedented
sensitivity of Swift/BAT, the variability/peak luminosity correlation is tested
on low-luminosity GRBs. Our results show that these GRBs are definite outliers.


title:
Reentrance effect in a graphene n-p-n junction coupled to a
  superconductor

abstract:
  We study the interplay of Klein tunneling (= interband tunneling) between
n-doped and p-doped regions in graphene and Andreev reflection (= electron-hole
conversion) at a superconducting electrode. The tunneling conductance of an
n-p-n junction initially increases upon lowering the temperature, while the
coherence time of the electron-hole pairs is still less than their lifetime,
but then drops back again when the coherence time exceeds the lifetime. This
reentrance effect, known from diffusive conductors and ballistic quantum dots,
provides a method to detect phase coherent Klein tunneling of electron-hole
pairs.


title: Supercritical geometric optics for nonlinear Schrodinger equations

abstract:
  We consider the small time semi-classical limit for nonlinear Schrodinger
equations with defocusing, smooth, nonlinearity. For a super-cubic
nonlinearity, the limiting system is not directly hyperbolic, due to the
presence of vacuum. To overcome this issue, we introduce new unknown functions,
which are defined nonlinearly in terms of the wave function itself. This
approach provides a local version of the modulated energy functional introduced
by Y.Brenier. The system we obtain is hyperbolic symmetric, and the
justification of WKB analysis follows.


title:
On the change of latitude of Arctic East Siberia at the end of the
  Pleistocene

abstract:
  Mammoths lived in Arctic East Siberia. In this region there is not sufficient
sunlight over the year for the growth of the plants on which these animals
feed. Therefore the latitude of this region was lower before the end of the
Pleistocene. As the cause of this geographic pole shift, we postulate a massive
object, which moved in an extremely eccentric orbit and was hot from tidal work
and solar radiation. Evaporation produced a disk-shaped cloud of ions around
the Sun. This cloud partially shielded the solar radiation, producing the cold
and warm periods that characterize the Pleistocene. The shielding depends on
the inclination of Earth's orbit, which has a period of 100'000 years. The
cloud builds up to a density at which inelastic particle collisions induce its
collapse The resulting near-periodic time dependence resembles that of
Dansgaard-Oeschger events. During cold periods fine grained inclusions were
deposited into the ice. The Pleistocene ended when the massive object had a
close encounter with the Earth, which suffered a one per mil stretching
deformation. While the deformation relaxed to an equilibrium shape in one to
several years, the globe turned relative to the rotation axis: The North Pole
moved from Greenland to the Arctic Sea. The massive object was torn to pieces,
which evaporated.


title:
Supersymmetry breaking by constant superpotentials and O'Raifeartaigh
  model in warped space

abstract:
  Supersymmetry breaking together by constant boundary superpotentials and by
the O'Raifeartaigh model is studied in a warped space model. It is shown that
the contribution of constant boundary superpotentials enables the moduli of
chiral supermultiplets to be stabilized and that the vacuum at the stationary
point has zero cosmological constant in a wide region of parameters.


title: On the Stability Functional for Conservation Laws

abstract:
  This note is devoted to the explicit construction of a functional defined on
all pairs of $\L1$ functions with small total variation, which is equivalent to
the $\L1$ distance and non increasing along the trajectories of a given system
of conservation laws. Two different constructions are provided, yielding an
extension of the original stability functional by Bressan, Liu and Yang.


title: Structural adaptation via $L_p$-norm oracle inequalities

abstract:
  In this paper we study the problem of adaptive estimation of a multivariate
function satisfying some structural assumption. We propose a novel estimation
procedure that adapts simultaneously to unknown structure and smoothness of the
underlying function. The problem of structural adaptation is stated as the
problem of selection from a given collection of estimators. We develop a
general selection rule and establish for it global oracle inequalities under
arbitrary $\rL_p$--losses. These results are applied for adaptive estimation in
the additive multi--index model.


title:
The study of $B_c^- \to X(3872)\pi^-(K^-)$ Decays in the Covariant
  Light-Front Approach

abstract:
  In the covariant light-front quark model, we calculate the form factors of
$B_c^-\to J/\psi$ and $B_c^-\to X(3872)$. Since the factorization of the
exclusive processes $B_c^- \to J/\psi\pi^-(K^-)$ and $B_c^- \to
X(3872)\pi^-(K^-)$ can be proved in the soft-collinear effective theory, we can
get the branching ratios for these decays easily from the form factors.
  Taking the uncertainties into account, our results for the branching ratio of
$B_c^-\to J/\psi \pi^-(K^-)$ are consistent with the previous studies. By
identifying X(3872) as a $1^{++}$ charmonium state, we obtain ${\cal
BR}(B_c^-\to X(3872)\pi^-)=(1.7^{+0.7+0.1+0.4}_{-0.6-0.2-0.4}) \times 10^{-4}$
and ${\cal BR}(B_c^-\to X(3872)K^-)=(1.3^{+0.5+0.1+0.3}_{-0.5-0.2-0.3})\times
10^{-5}$. If assuming X(3872) as a $1^{--}$ state, the branching ratios will be
one order magnitude larger than those of $1^{++}$ state. These results can be
easily used to test the charmonium description for this mysterious meson
X(3872) at LHCb experiment.


title:
The effect of stellar-mass black holes on the structural evolution of
  massive star clusters

abstract:
  We present the results of realistic N-body modelling of massive star clusters
in the Magellanic Clouds, aimed at investigating a dynamical origin for the
radius-age trend observed in these systems. We find that stellar-mass black
holes, formed in the supernova explosions of the most massive cluster stars,
can constitute a dynamically important population. If a significant number of
black holes are retained (here we assume complete retention), these objects
rapidly form a dense core where interactions are common, resulting in the
scattering of black holes into the cluster halo, and the ejection of black
holes from the cluster. These two processes heat the stellar component,
resulting in prolonged core expansion of a magnitude matching the observations.
Significant core evolution is also observed in Magellanic Cloud clusters at
early times. We find that this does not result from the action of black holes,
but can be reproduced by the effects of mass-loss due to rapid stellar
evolution in a primordially mass segregated cluster.


title:
Full bandstructure calculation of second harmonic generation
  susceptibility of $\alpha-LiIO_{3}$ crystal

abstract:
  The present work performs full bandstructure calculations to investigate the
structural effect and the transition mechanisms of the second harmonic
generation (SHG) susceptibility of the $\alpha-LiIO_{3}$ crystal. The anomalous
inconsistency of associated experimental data of the SHG susceptibility tensor
is elucidated to be dominated by the structural effect especially on the
topology of $O$-atoms. On the manipulation of the structural effect, the
modification of SHG susceptibility using an external pressure is simulated. The
calculations of SHG susceptibility tensor are completed at finite frequencies
and the static limit. The comparison with the experiments is also incorporated.
On the analysis of the transition mechanisms, the inter-band transition is
determined to entirely dominate the whole SHG susceptibility at the static
limit; however, the effect of the intra-band motion is revealed to be as
important as that of the inter-band transition at finite frequencies.


title: Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice

abstract:
  We consider the Bose-Hubbard model in a two dimensional rotating optical
lattice and investigate the consequences of the effective magnetic field
created by rotation. Using a Gutzwiller type variational wavefunction, we find
an analytical expression for the Mott insulator(MI)-Superfluid(SF) transition
boundary in terms of the maximum eigenvalue of the Hofstadter butterfly. The
dependence of phase boundary on the effective magnetic field is complex,
reflecting the self-similar properties of the single particle energy spectrum.
Finally, we argue that fractional quantum Hall phases exist close to the MI-SF
transition boundaries, including MI states with particle densities greater than
one.


title:
Current-Induced Switching of a Single-Molecule Magnet with Arbitrary
  Oriented Easy Axis

abstract:
  The main objective of this work is to investigate theoretically how tilting
of an easy axis of a single-molecule magnet (SMM) from the orientation
collinear with magnetic moments of the leads affects the switching process
induced by current flowing through the system. To do this we consider a model
system that consists of a SMM embedded in the nonmagnetic barrier of a magnetic
tunnel junction. The anisotropy axis of the SMM forms an arbitrary angle with
magnetic moments of the leads (the latter ones are assumed to be collinear).
The reversal of the SMM's spin takes place due to exchange interaction between
the molecule and electrons tunneling through the barrier. The current flowing
through the system as well as the average z-component of the SMM's spin are
calculated in the second-order perturbation description (Fermi golden rule).


title:
Pure Point spectrum for measure dynamical systems on locally compact
  Abelian groups

abstract:
  We show equivalence of pure point diffraction and pure point dynamical
spectrum for measurable dynamical systems build from locally finite measures on
locally compact Abelian groups. This generalizes all earlier results of this
type. Our approach is based on a study of almost periodicity in a Hilbert
space. It allows us to set up a perturbation theory for arbitrary equivariant
measurable perturbations.


title:
Electromagnetic Dark Energy and Gravitoelectrodynamics of
  Superconductors

abstract:
  It is shown that Beck and Mackey electromagnetic model of dark energy in
superconductors can account for the non-classical inertial properties of
superconductors, which have been conjectured by the author to explain the
Cooper pair's mass excess reported by Cabrera and Tate. A new Einstein-Planck
regime for gravitation in condensed matter is proposed as a natural scale to
host the gravitoelectrodynamic properties of superconductors.


title: A universal procedure for aggregating estimators

abstract:
  In this paper we study the aggregation problem that can be formulated as
follows. Assume that we have a family of estimators $\mathcal{F}$ built on the
basis of available observations. The goal is to construct a new estimator whose
risk is as close as possible to that of the best estimator in the family. We
propose a general aggregation scheme that is universal in the following sense:
it applies for families of arbitrary estimators and a wide variety of models
and global risk measures. The procedure is based on comparison of empirical
estimates of certain linear functionals with estimates induced by the family
$\mathcal{F}$. We derive oracle inequalities and show that they are
unimprovable in some sense. Numerical results demonstrate good practical
behavior of the procedure.


title: Competing itinerant and localized states in strongly correlated BaVS$_3$

abstract:
  The electronic structure of the quasi-lowdimensional vanadium sulfide \bavs3
is investigated for the different phases above the magnetic ordering
temperature. By means of density functional theory and its combination with
dynamical-mean field theory, we follow the evolution of the relevant low-energy
electronic states on cooling. Hence we go in the metallic regime from the room
temperature hexagonal phase to the orthorhombic phase after the first
structural transition, and close with the monoclinic insulating phase below the
metal-insulator transition. Due to the low symmetry and expected intersite
correlations, the latter phase is treated within cellular dynamical mean-field
theory. It is generally discussed how the intriguing interplay between
band-structure and strong-correlation effects leads to the stabilization of the
various electronic phases with decreasing temperature.


title: Dimerization and Fusion of two C60 Molecules

abstract:
  We investigate the dimerization and fusion of C60 molecules to form various
C60 dimers when pushed against each other at several inter-molecular distances.
We study the stability of this dimerized C60 molecule based on its binding
strength provided by intramolecular interactions. Tersoff potential, which is
considered to represent intramolecular interactions well, has been used to
calculate potential energy at these distances of separation and for all
possible orientations of the molecules. We observe that several minimum energy
configurations exist at various distances between the C60 molecules. Our
calculation shows that apart from the dumbbell structures, many interesting
composite phases also result, such as fused, peanut and carbon nanotubes of
geometry (5,5) and (10,0) of certain specific length.


title: Homotopy coherent nerve in Deformation theory

abstract:
  In this note we explain that homotopy coherent simplicial nerve has to used
intead of the standard definition in the author's papers on formal deformation
theory. A convenient version of the notion of fibered category is presented
which is useful once one works with simplicial categories.


title: Behaviour of a Bucky-ball under Internal and External Pressures

abstract:
  We study the behaviour of the C60 molecule under very high internal or
external pressure using Tersoff as well as Brenner potentials. As a result, we
estimate the critical internal and external pressures that lead to its
instability. We also calculate stretching force constant and bulk modulus of
this molecule at several pressures under which the molecule remains stable. The
values of these estimated here at zero pressure agree closely with those
obtained in earlier calculations. We also observe that at high pressures, a
finite value of parameter of Tersoff potential gives physically acceptable
results in contrast to its value zero, which is usually taken for the carbon
systems.


title: Algebraic Distributed Space-Time Codes with Low ML Decoding Complexity

abstract:
  "Extended Clifford algebras" are introduced as a means to obtain low ML
decoding complexity space-time block codes. Using left regular matrix
representations of two specific classes of extended Clifford algebras, two
systematic algebraic constructions of full diversity Distributed Space-Time
Codes (DSTCs) are provided for any power of two number of relays. The left
regular matrix representation has been shown to naturally result in space-time
codes meeting the additional constraints required for DSTCs. The DSTCs so
constructed have the salient feature of reduced Maximum Likelihood (ML)
decoding complexity. In particular, the ML decoding of these codes can be
performed by applying the lattice decoder algorithm on a lattice of four times
lesser dimension than what is required in general. Moreover these codes have a
uniform distribution of power among the relays and in time, thus leading to a
low Peak to Average Power Ratio at the relays.


title:
Isotropic cosmological singularities in spatially-homogeneous models
  with a cosmological constant

abstract:
  We prove well-posedness of the initial value problem for the Einstein
equations for spatially-homogeneous cosmologies with data at an isotropic
cosmological singularity, for which the matter content is either a cosmological
constant with collisionless particles of a single mass (possibly zero) or a
cosmological constant with a perfect fluid having the radiation equation of
state. In both cases, with a positive cosmological constant, these solutions,
except possibly for Bianchi-type-IX, will expand forever, and be
geodesically-complete into the future.


title: STBCs from Representation of Extended Clifford Algebras

abstract:
  A set of sufficient conditions to construct $\lambda$-real symbol Maximum
Likelihood (ML) decodable STBCs have recently been provided by Karmakar et al.
STBCs satisfying these sufficient conditions were named as Clifford Unitary
Weight (CUW) codes. In this paper, the maximal rate (as measured in complex
symbols per channel use) of CUW codes for $\lambda=2^a,a\in\mathbb{N}$ is
obtained using tools from representation theory. Two algebraic constructions of
codes achieving this maximal rate are also provided. One of the constructions
is obtained using linear representation of finite groups whereas the other
construction is based on the concept of right module algebra over
non-commutative rings. To the knowledge of the authors, this is the first paper
in which matrices over non-commutative rings is used to construct STBCs. An
algebraic explanation is provided for the 'ABBA' construction first proposed by
Tirkkonen et al and the tensor product construction proposed by Karmakar et al.
Furthermore, it is established that the 4 transmit antenna STBC originally
proposed by Tirkkonen et al based on the ABBA construction is actually a single
complex symbol ML decodable code if the design variables are permuted and
signal sets of appropriate dimensions are chosen.


title:
Analyticity of strictly static and strictly stationary, inheriting and
  non-inheriting Einstein-Maxwell solutions

abstract:
  Following the technique of M\"uller-zum-Hagen, refs [1,2], we show that
strictly static and strictly stationary solutions of the Einstein-Maxwell
equations are analytic in harmonic coordinates. This holds whether or not the
Maxwell field inherits the symmetry.


title:
Signal Set Design for Full-Diversity Low-Decoding-Complexity
  Differential Scaled-Unitary STBCs

abstract:
  The problem of designing high rate, full diversity noncoherent space-time
block codes (STBCs) with low encoding and decoding complexity is addressed.
First, the notion of $g$-group encodable and $g$-group decodable linear STBCs
is introduced. Then for a known class of rate-1 linear designs, an explicit
construction of fully-diverse signal sets that lead to four-group encodable and
four-group decodable differential scaled unitary STBCs for any power of two
number of antennas is provided. Previous works on differential STBCs either
sacrifice decoding complexity for higher rate or sacrifice rate for lower
decoding complexity.


title:
Controlling Phase Space Caustics in the Semiclassical Coherent State
  Propagator

abstract:
  The semiclassical formula for the quantum propagator in the coherent state
representation $<\mathbf{z}'' | e^{-i\hat{H}T/\hbar} | \mathbf{z}'>$ is not
free from the problem of caustics. These are singular points along the complex
classical trajectories specified by $\mathbf{z}'$, $\mathbf{z}''$ and $T$ where
the usual quadratic approximation fails, leading to divergences in the
semiclassical formula. In this paper we derive third order approximations for
this propagator that remain finite in the vicinity of caustics. We use Maslov's
method and the dual representation proposed in Phys. Rev. Lett. {\bf 95},
050405 (2005) to derive uniform, regular and transitional semiclassical
approximations for coherent state propagator in systems with two degrees of
freedom.


title:
Noncoherent Low-Decoding-Complexity Space-Time Codes for Wireless Relay
  Networks

abstract:
  The differential encoding/decoding setup introduced by Kiran et al, Oggier et
al and Jing et al for wireless relay networks that use codebooks consisting of
unitary matrices is extended to allow codebooks consisting of scaled unitary
matrices. For such codebooks to be used in the Jing-Hassibi protocol for
cooperative diversity, the conditions that need to be satisfied by the relay
matrices and the codebook are identified. A class of previously known rate one,
full diversity, four-group encodable and four-group decodable Differential
Space-Time Codes (DSTCs) is proposed for use as Distributed DSTCs (DDSTCs) in
the proposed set up. To the best of our knowledge, this is the first known low
decoding complexity DDSTC scheme for cooperative wireless networks.


title: Postnikov-Stability for Complexes

abstract:
  We present a novel notion of stable objects in the derived category of
coherent sheaves on a smooth projective variety. As one application we
compactify a moduli space of stable bundles using genuine complexes.


title: Reaching the Holevo Capacity via von Neumann measurement, and its use

abstract:
  In this article we show that the Holevo capacity of a classical quantum
channel, can be reached not only by a POVM but by von Neumann measurement too.
Furthermore we show two use of this fact 1) We can generalize the classical
compound channel to quantum environment and with this new measure technique we
can give an optimal coding/decoding algorithm to it. 2) We give an algorithm,
with it a classical system can be decoded by quantum apparatus in linear time,
which is a surprising result, because best known optimal classical decoding
algorithm need n*log(n) time. This means that if a quantum machine can perform
arbitrarily von Neumann measurement with only two possible outcome, then it can
solve non-polynomial classical problems in linear time.


title:
A relativistic calculation of the deuteron threshold
  electrodisintegration at backward angles

abstract:
  The threshold electrodisintegration of the deuteron at backward angles is
studied with a relativistic Hamiltonian, including a relativistic
one-pion-exchange potential (OPEP) with off-shell terms as predicted by
pseudovector coupling of pions to nucleons. The bound and scattering states are
obtained in the center-of-mass frame, and then boosted from it to the Breit
frame, where the evaluation of the relevant matrix elements of the
electromagnetic current operator is carried out. The latter includes, in
addition to one-body, also two-body terms due to pion exchange, as obtained,
consistently with the OPEP, in pseudovector pion-nucleon coupling theory. The
full Lorentz structure of these currents is retained. In order to estimate the
magnitude of the relativistic effects we perform, for comparison, the
calculation with a non-relativistic phase-equivalent Hamiltonian and the
standard non-relativistic expressions for the one-body and two-body
pion-exchange currents. Our results for the electrodisintegration cross section
show that, in the calculations using one-body currents, relativistic
corrections become significant ({\it i.e.}, larger than 10%) only at high
momentum transfer $Q$ ($Q^2 \simeq 40$fm$^{-2}$ and beyond). However, the
inclusion of two-body currents makes the relativistic predictions considerably
smaller than the corresponding non-relativistic results in the $Q^2$ region
(18--40) fm$^{-2}$. The calculations based on the relativistic model also
confirm the inadequacy, already established in a non-relativistic context, of
the present electromagnetic current model to reproduce accurately the
experimental data at intermediate values of momentum transfers.


title:
Perspectives for the detection and measurement of Supersymmetry in the
  focus point region of mSUGRA models with the ATLAS detector at LHC

abstract:
  This paper discusses the ATLAS potential to study Supersymmetry for the
"Focus-Point" region of the parameter space of mSUGRA models. The potential to
discovery a deviation from Standard Model expectations with the first few
${fb}^{-1}$ of LHC data was studied using the parametrized simulation of the
ATLAS detector. Several signatures were considered, involving hard jets, large
missing energy, and either $b$-tagged jets, opposite-sign isolated electron or
muon pairs, or top quarks reconstructed exploiting their fully hadronic decays.
With only 1 ${fb}^{-1}$ of data each of these signatures may allow to observe
an excess of events over Standard Model expectation with a statistical
significance exceeding 5 standard deviations. An analytical expression was
derived for the shape of the distribution of the dilepton invariant mass
arising from the three-body leptonic decay of the neutralinos under the
hypothesis of heavy scalars, which is appropriate for the focus-point scenario.
The resulting function was used to fit the distribution of the dilepton
invariant mass obtained with simulated LHC data, and to extract the value of
two kinematic endpoints measuring the $\tilde \chi^0_2 - \tilde \chi^0_1$ and
the $\tilde \chi^0_3 - \tilde \chi^0_1$ mass differences. This information was
used to constrain the MSSM parameter space compatible with the data.


title:
On groups of central type, non-degenerate and bijective cohomology
  classes

abstract:
  A finite group $G$ is of central type (in the non-classical sense) if it
admits a non-degenerate cohomology class $[c]\in H^2(G,\C^*)$ ($G$ acts
trivially on $\C^*$). Groups of central type play a fundamental role in the
classification of semisimple triangular complex Hopf algebras and can be
determined by their representation theoretical properties.
  Suppose that a finite group $Q$ acts on an abelian group $A$ so that there
exists a bijective 1-cocycle $\pi\in Z^1(Q,\ach)$, where
$\ach=\rm{Hom}(A,\C^*)$ is endowed with the diagonal $Q$-action. Under this
assumption, Etingof and Gelaki gave an explicit formula for a non-degenerate
2-cocycle in $Z^2(G,\C^*)$, where $G:=A\rtimes Q$. Hence, the semidirect
product $G$ is of central type.
  In this paper we present a more general correspondence between bijective and
non-degenerate cohomology classes. In particular, given a bijective class
$[\pi]\in H^1(Q,\ach)$ as above, we construct non-degenerate classes
$[c_{\pi}]\in H^2(G,\C^*)$ for certain extensions $1\to A\to G\to Q\to 1$ which
are not necessarily split. We thus strictly extend the above family of central
type groups.


title:
V-Langevin Equations, Continuous Time Random Walks and Fractional
  Diffusion

abstract:
  The following question is addressed: under what conditions can a strange
diffusive process, defined by a semi-dynamical V-Langevin equation or its
associated Hybrid kinetic equation (HKE), be described by an equivalent purely
stochastic process, defined by a Continuous Time Random Walk (CTRW) or by a
Fractional Differential Equation (FDE)? More specifically, does there exist a
class of V-Langevin equations with long-range (algebraic) velocity temporal
correlation, that leads to a time-fractional superdiffusive process? The answer
is always affirmative in one dimension. It is always negative in two
dimensions: any algebraically decaying temporal velocity correlation (with a
Gaussian spatial correlation) produces a normal diffusive process. General
conditions relating the diffusive nature of the process to the temporal
exponent of the Lagrangian velocity correlation (in Corrsin approximation) are
derived.


title: Combinatorics Of RNA Structures With Pseudoknots

abstract:
  In this paper we derive the generating function of RNA structures with
pseudoknots. We enumerate all $k$-noncrossing RNA pseudoknot structures
categorized by their maximal sets of mutually intersecting arcs. In addition we
enumerate pseudoknot structures over circular RNA. For 3-noncrossing RNA
structures and RNA secondary structures we present a novel 4-term recursion
formula and a 2-term recursion, respectively. Furthermore we enumerate for
arbitrary $k$ all $k$-noncrossing, restricted RNA structures i.e.
$k$-noncrossing RNA structures without 2-arcs i.e. arcs of the form $(i,i+2)$,
for $1\le i\le n-2$.


title:
Comparative study of depth-dose distributions for beams of light and
  heavy nuclei in tissue-like media

abstract:
  We study the energy deposition by light and heavy nuclei in tissue-like media
as used for cancer therapy. The depth-dose distributions for protons, $^{3}$He,
$^{12}$C, $^{20}$Ne, and $^{58}$Ni nuclei are calculated within a Monte Carlo
model based on the GEANT4 toolkit. These distributions are compared with each
other and with available experimental data. It is demonstrated that nuclear
fragmentation reactions essentially reduce the peak-to-plateau ratio of the
dose profiles for deeply penetrating energetic ions heavier than $^{3}$He. On
the other hand, all projectiles up to $^{20}$Ne were found equally suitable for
therapeutic use at low penetration depths.


title: Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity

abstract:
  The modified F(R)-scalar-Gauss-Bonnet gravity is proposed as dark energy
model. The reconstruction program for such theory is developed. It is
explicitly demonstrated that the known classical universe expansion history
(deceleration epoch, transition to acceleration and effective quintessence,
phantom or cosmological constant era) may naturally occur in such unified
theory for some (reconstructed) classes of scalar potentials. Gauss-Bonnet
assisted dark energy is also proposed. The possibility of cosmic acceleration
is studied there.


title: Substitution tilings with statistical circular symmetry

abstract:
  Two new series of substitution tilings are introduced in which the tiles
appear in infinitely many orientations. It is shown that several properties of
the well-known pinwheel tiling do also hold for these new examples, and, in
fact, for all substitution tilings showing tiles in infinitely many
orientations.


title:
A Three Parameter Hopf Deformation of the Algebra of Feynman-like
  Diagrams

abstract:
  We construct a three-parameter deformation of the Hopf algebra $\LDIAG$. This
is the algebra that appears in an expansion in terms of Feynman-like diagrams
of the {\em product formula} in a simplified version of Quantum Field Theory.
This new algebra is a true Hopf deformation which reduces to $\LDIAG$ for some
parameter values and to the algebra of Matrix Quasi-Symmetric Functions
($\MQS$) for others, and thus relates $\LDIAG$ to other Hopf algebras of
contemporary physics. Moreover, there is an onto linear mapping preserving
products from our algebra to the algebra of Euler-Zagier sums.


title:
High Mobility in LaAlO3/SrTiO3 Heterostructures: Origin, Dimensionality
  and Perspectives

abstract:
  We have investigated the dimensionality and origin of the magnetotransport
properties of LaAlO3 films epitaxially grown on TiO2-terminated SrTiO3(001)
substrates. High mobility conduction is observed at low deposition oxygen
pressures (PO2 < 10^-5 mbar) and has a three-dimensional character. However, at
higher PO2 the conduction is dramatically suppressed and nonmetallic behavior
appears. Experimental data strongly support an interpretation of these
properties based on the creation of oxygen vacancies in the SrTiO3 substrates
during the growth of the LaAlO3 layer. When grown on SrTiO3 substrates at low
PO2, other oxides generate the same high mobility as LaAlO3 films. This opens
interesting prospects for all-oxide electronics.


title: Quelques plats pour la m\'etrique de Hofer

abstract:
  We show, by an elementary and explicit construction, that the group of
Hamiltonian diffeomorphisms of certain symplectic manifolds, endowed with
Hofer's metric, contains subgroups quasi-isometric to Euclidean spaces of
arbitrary dimension.


title:
A case of mistaken identity? GRB 060912A and the nature of the long --
  short GRB divide

abstract:
  We investigate the origin of the GRB 060912A, which has observational
properties that make its classification as either a long or short burst
ambiguous. Short duration GRBs (SGRBs) are thought to have typically lower
energies than long duration bursts, can be found in galaxies with populations
of all ages and are likely to originate from different progenitors to the long
duration bursts. However, it has become clear that duration alone is
insufficient to make a distinction between the two populations in many cases,
leading to a desire to find additional discriminators of burst type. GRB
060912A had a duration of 6 s and occurred only ~10 arcsec from a bright, low
redshift ($z=0.0936$) elliptical galaxy, suggesting that this may have been the
host, which would favour it being a short-burst. However, our deep optical
imaging and spectroscopy of the location of GRB 060912A using the VLT shows
that GRB 060912A more likely originates in a distant star forming galaxy at
z=0.937, and is most likely a long burst. This demonstrates the risk in
identifying bright, nearby galaxies as the hosts of given GRBs without further
supporting evidence. Further, it implies that, in the absence of secure
identifications, "host" type, or more broadly discriminators which rely on
galaxy redshifts, may not be good indicators of the true nature of any given
GRB.


title: Nonperturbative screening of the Landau pole

abstract:
  Based on the trace anomaly for the energy-momentum tensor, an effective
theory for the thermodynamics of the deconfining phase, and by assuming the
asymptotic behavior to be determined by one-loop perturbation theory we compute
the nonperturbative beta function for the fundamental coupling $g$ in SU(2) and
SU(3) Yang-Mills theory. With increasing temperature we observe a very rapid
approach to the perturbative running. The Landau pole is nonperturbatively
screened.


title:
Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations
  for the KdV Hierarchy

abstract:
  We study the Whitham equations for all the higher order KdV equations. The
Whitham equations are neither strictly hyperbolic nor genuinely nonlinear. We
are interested in the solution of the Whitham equations when the initial values
are given by a step function.


title: Self-dual tilings with respect to star-duality

abstract:
  The concept of star-duality is described for self-similar cut-and-project
tilings in arbitrary dimensions. This generalises Thurston's concept of a
Galois-dual tiling. The dual tilings of the Penrose tilings as well as the
Ammann-Beenker tilings are calculated. Conditions for a tiling to be self-dual
are obtained.


title: An experimental test of non-local realism

abstract:
  Most working scientists hold fast to the concept of 'realism' - a viewpoint
according to which an external reality exists independent of observation. But
quantum physics has shattered some of our cornerstone beliefs. According to
Bell's theorem, any theory that is based on the joint assumption of realism and
locality (meaning that local events cannot be affected by actions in space-like
separated regions) is at variance with certain quantum predictions. Experiments
with entangled pairs of particles have amply confirmed these quantum
predictions, thus rendering local realistic theories untenable. Maintaining
realism as a fundamental concept would therefore necessitate the introduction
of 'spooky' actions that defy locality. Here we show by both theory and
experiment that a broad and rather reasonable class of such non-local realistic
theories is incompatible with experimentally observable quantum correlations.
In the experiment, we measure previously untested correlations between two
entangled photons, and show that these correlations violate an inequality
proposed by Leggett for non-local realistic theories. Our result suggests that
giving up the concept of locality is not sufficient to be consistent with
quantum experiments, unless certain intuitive features of realism are
abandoned.


title: Integration on moduli spaces of stable curves through localization

abstract:
  We introduce a new method of calculating intersections on \bar{M}_{g,n},
using localization of equivariant cohomology. As an application, we give a
proof of Mirzakhani's recursion relation for calculating intersections of mixed
psi and kappa_1 classes.


title: Dynamic condensation of water at crack tips in fused silica glass

abstract:
  Water molecules play a fundamental role in the physics of slow crack
propagation in glasses. It is commonly understood that, during
stress-corrosion, water molecules that move in the crack cavity effectively
reduce the bond strength at the strained crack tip and, thus, support crack
propagation. Yet the details of the environmental condition at the crack tip in
moist air are not well determined. In a previous work, we reported direct
evidence of the presence of a 100 nm long liquid condensate at the crack tip in
fused silica glass during very slow crack propagation (10^-9 to 10^-10 m/s).
These observations are based on in-situ AFM phase imaging techniques applied on
DCDC glass specimens in controlled atmosphere. Here, we discuss the physical
origin of the AFM phase contrast between the liquid condensate and the glass
surface in relation to tip-sample adhesion induced by capillary bridges. We
then report new experimental data on the water condensation length increase
with relative humidity in the atmosphere. The measured condensation lengths
were much larger than what predicted using the Kelvin equation and expected
geometry of the crack tip.


title:
3D Radiative Hydrodynamics for Disk Stability Simulations: A Proposed
  Testing Standard and New Results

abstract:
  Recent three-dimensional radiative hydrodynamics simulations of
protoplanetary disks report disparate disk behaviors, and these differences
involve the importance of convection to disk cooling, the dependence of disk
cooling on metallicity, and the stability of disks against fragmentation and
clump formation. To guarantee trustworthy results, a radiative physics
algorithm must demonstrate the capability to handle both the high and low
optical depth regimes. We develop a test suite that can be used to demonstrate
an algorithm's ability to relax to known analytic flux and temperature
distributions, to follow a contracting slab, and to inhibit or permit
convection appropriately. We then show that the radiative algorithm employed by
Meji\'a (2004) and Boley et al. (2006) and the algorithm employed by Cai et al.
(2006) and Cai et al. (2007, in prep.) pass these tests with reasonable
accuracy. In addition, we discuss a new algorithm that couples flux-limited
diffusion with vertical rays, we apply the test suite, and we discuss the
results of evolving the Boley et al. (2006) disk with this new routine.
Although the outcome is significantly different in detail with the new
algorithm, we obtain the same qualitative answers. Our disk does not cool fast
due to convection, and it is stable to fragmentation. We find an effective
$\alpha\approx 10^{-2}$. In addition, transport is dominated by low-order
modes.


title: Multi-Agent Approach to the Self-Organization of Networks

abstract:
  Is it possible to link a set of nodes without using preexisting positional
information or any kind of long-range attraction of the nodes? Can the process
of generating positional information, i.e. the detection of ``unknown'' nodes
and the estabishment of chemical gradients, \emph{and} the process of network
formation, i.e. the establishment of links between nodes, occur in parallel, on
a comparable time scale, as a process of co-evolution?
  The paper discusses a model where the generation of relevant information for
establishing the links between nodes results from the interaction of many
\emph{agents}, i.e. subunits of the system that are capable of performing some
activities. Their collective interaction is based on (indirect) communication,
which also includes memory effects and the dissemination of information in the
system. The relevant (``pragmatic'') information that leads to the
establishment of the links then emerges from an evolutionary interplay of
selection and reamplification.


title:
Periodic solutions for the Schroedinger equation with nonlocal smoothing
  nonlinearities in higher dimension

abstract:
  We consider the nonlinear Schroedinger equation in higher dimension with
Dirichlet boundary conditions and with a non-local smoothing nonlinearity. We
prove the existence of small amplitude periodic solutions. In the fully
resonant case we find solutions which at leading order are wave packets, in the
sense that they continue linear solutions with an arbitrarily large number of
resonant modes. The main difficulty in the proof consists in solving a "small
divisor problem" which we do by using a renormalisation group approach.


title:
Sunyaev-Zel'dovich profiles and scaling relations: modelling effects and
  observational biases

abstract:
  We use high-resolution hydrodynamic re-simulations to investigate the
properties of the thermal Sunyaev-Zel'dovich (SZ) effect from galaxy clusters.
We compare results obtained using different physical models for the
intracluster medium (ICM), and show how they modify the SZ emission in terms of
cluster profiles and scaling relations. We also produce realistic mock
observations to verify whether the results from hydrodynamic simulations can be
confirmed. We find that SZ profiles depend marginally on the modelled physical
processes, while they exhibit a strong dependence on cluster mass. The central
and total SZ emission strongly correlate with the cluster X-ray luminosity and
temperature. The logarithmic slopes of these scaling relations differ from the
self-similar predictions by less than 0.2; the normalization of the relations
is lower for simulations including radiative cooling. The observational test
suggests that SZ cluster profiles are unlikely to be able to probe the ICM
physics. The total SZ decrement appears to be an observable much more robust
than the central intensity, and we suggest using the former to investigate
scaling relations.


title: Introduction to Phase Transitions in Random Optimization Problems

abstract:
  Notes of the lectures delivered in Les Houches during the Summer School on
Complex Systems (July 2006).


title:
Calculation of pseudoscalar and vector mesons' masses in extended model
  of quasi-independent quarks

abstract:
  Masses of pseudoscalar and vector mesons, which are ground states of light
or/and heavy quarks and antiquarks, have been calculated in the framework of an
extended model of quasi-independent quarks with absolute uncertainties about 30
MeV. It is shown that the assumption on equidistant discrete levels for a mean
field energy does not contradict to existing data and permits to reduce a
number of model parameters. It is obtained, that a difference between
neighbouring mean field energy levels is flavour independent. Values of
spin-spin interaction between quarks and antiquarks with different flavours in
pseudoscalar and vector mesons are presented.


title: Note on charge interaction in NQED

abstract:
  The interaction of charges in NQED is discussed. It is shown that the
relativistic correction have the same form as in the commutative case provided
the Weyl ordering rule is used.


title: Reconstructing a Random Potential from its Random Walks

abstract:
  The problem of how many trajectories of a random walker in a potential are
needed to reconstruct the values of this potential is studied. We show that
this problem can be solved by calculating the probability of survival of an
abstract random walker in a partially absorbing potential. The approach is
illustrated on the discrete Sinai (random force) model with a drift. We
determine the parameter (temperature, duration of each trajectory, ...) values
making reconstruction as fast as possible.


title: Quantum Measurements and Gates by Code Deformation

abstract:
  The usual scenario in fault tolerant quantum computation involves certain
amount of qubits encoded in each code block, transversal operations between
them and destructive measurements of ancillary code blocks. We introduce a new
approach in which a single code layer is used for the entire computation, in
particular a surface code. Qubits can be created, manipulated and
non-destructively measured by code deformations that amount to `cut and paste'
operations in the surface. All the interactions between qubits remain purely
local in a two-dimensional setting.


title: Gamma-ray probe of the QSO's obscured evolution

abstract:
  The idea that substantial absorption in AGN could be a definite
characteristic of the early phases of QSO evolution was invoked to explain the
submillimeter observations of X-ray absorbed AGN at z~1 to z~3, that have shown
strong emission at 850 mkm. This strong emission is a signature of the copious
star formation. In AGN evolution model, the main obscured growth phase of the
QSO coincides with formation of the host galaxy spheroid, the completion of
which indicates the beginning of the luminous, unobscured phase of the QSO's
evolution. The verification of this model at redshifts up to z~6 appears
possible via application of the gamma-ray resonant absorption method.


title: Narratives within immersive technologies

abstract:
  The main goal of this project is to research technical advances in order to
enhance the possibility to develop narratives within immersive mediated
environments. An important part of the research is concerned with the question
of how a script can be written, annotated and realized for an immersive
context. A first description of the main theoretical framework and the ongoing
work and a first script example is provided. This project is part of the
program for presence research, and it will exploit physiological feedback and
Computational Intelligence within virtual reality.


title:
Antiproton and Positron Signal Enhancement in Dark Matter Mini-Spikes
  Scenarios

abstract:
  The annihilation of dark matter (DM) in the Galaxy could produce specific
imprints on the spectra of antimatter species in Galactic cosmic rays, which
could be detected by upcoming experiments such as PAMELA and AMS02. Recent
studies show that the presence of substructures can enhance the annihilation
signal by a "boost factor" that not only depends on energy, but that is
intrinsically a statistical property of the distribution of DM substructures
inside the Milky Way. We investigate a scenario in which substructures consist
of $\sim 100$ "mini-spikes" around intermediate-mass black holes. Focusing on
primary positrons and antiprotons, we find large boost factors, up to a few
thousand, that exhibit a large variance at high energy in the case of positrons
and at low energy in the case of antiprotons. As a consequence, an estimate of
the DM particle mass based on the observed cut-off in the positron spectrum
could lead to a substantial underestimate of its actual value.


title: Existence Proofs of Some EXIT Like Functions

abstract:
  The Extended BP (EBP) Generalized EXIT (GEXIT) function introduced in
\cite{MMRU05} plays a fundamental role in the asymptotic analysis of sparse
graph codes. For transmission over the binary erasure channel (BEC) the
analytic properties of the EBP GEXIT function are relatively simple and well
understood. The general case is much harder and even the existence of the curve
is not known in general. We introduce some tools from non-linear analysis which
can be useful to prove the existence of EXIT like curves in some cases. The
main tool is the Krasnoselskii-Rabinowitz (KR) bifurcation theorem.


title: The angular correlations of galaxies in the COSMOS field

abstract:
  We present measurements of the two-point galaxy angular correlation function
w(\theta) in the COSMOS field. Independent determinations of w(\theta) as a
function of magnitude limit are presented for both the HST ACS catalog and also
for the ground-based data from Subaru and the CFHT. Despite having
significantly different masks, these three determinations agree well. At bright
magnitudes (IAB<22), our data generally match very well with existing
measurements and with mock catalogs based on semi-analytic galaxy formation
calculations of Kitzbichler and White from the Millennium Simulation. The
exception is that our result is at the upper end of the expected cosmic
variance scatter for \theta > 10 arcmin, which we attribute to a particularly
rich structure known to exist at z~0.8. For fainter samples, however, the level
of clustering is somewhat higher than reported by some previous studies: in all
three catalogues we find w(\theta=1')~0.014 at a median IAB magnitude of 24. At
these very faintest magnitudes, our measurements agree well with the latest
determinations from the Canada-France Legacy Survey. This level of clustering
is approximately double what is predicted by the semi-analytic catalogs (at all
angles). The semi-analytic results allow an estimate of cosmic variance, which
is too small to account for the discrepancy. We therefore conclude that the
mean amplitude of clustering at this level is higher than previously estimated.


title:
Q^2 Dependence of the S_{11}(1535) Photocoupling and Evidence for a
  P-wave resonance in eta electroproduction

abstract:
  New cross sections for the reaction $ep \to e'\eta p$ are reported for total
center of mass energy $W$=1.5--2.3 GeV and invariant squared momentum transfer
$Q^2$=0.13--3.3 GeV$^2$. This large kinematic range allows extraction of new
information about response functions, photocouplings, and $\eta N$ coupling
strengths of baryon resonances. A sharp structure is seen at $W\sim$ 1.7 GeV.
The shape of the differential cross section is indicative of the presence of a
$P$-wave resonance that persists to high $Q^2$. Improved values are derived for
the photon coupling amplitude for the $S_{11}$(1535) resonance. The new data
greatly expands the $Q^2$ range covered and an interpretation of all data with
a consistent parameterization is provided.


title:
Inferring DNA sequences from mechanical unzipping data: the
  large-bandwidth case

abstract:
  The complementary strands of DNA molecules can be separated when stretched
apart by a force; the unzipping signal is correlated to the base content of the
sequence but is affected by thermal and instrumental noise. We consider here
the ideal case where opening events are known to a very good time resolution
(very large bandwidth), and study how the sequence can be reconstructed from
the unzipping data. Our approach relies on the use of statistical Bayesian
inference and of Viterbi decoding algorithm. Performances are studied
numerically on Monte Carlo generated data, and analytically. We show how
multiple unzippings of the same molecule may be exploited to improve the
quality of the prediction, and calculate analytically the number of required
unzippings as a function of the bandwidth, the sequence content, the elasticity
parameters of the unzipped strands.


title: Triggering at High Luminosity Colliders

abstract:
  This article discusses the techniques used to select online promising events
at high energy and high luminosity colliders. After a brief introduction,
explaining some general aspects of triggering, the more specific implementation
options for well established machines like the Tevatron and Large Hadron
Collider are presented. An outlook on what difficulties need to be met is given
when designing trigger systems at the Super Large Hadron Collider, or at the
International Linear Collider


title:
Swift observations of the 2006 outburst of the recurrent nova RS
  Ophiuchi: II. 1D hydrodynamical models of wind driven shocks

abstract:
  Following the early Swift X-ray observations of the latest outburst of the
recurrent nova RS Ophiuchi in February 2006 (Paper I), we present new 1D
hydrodynamical models of the system which take into account all three phases of
the remnant evolution. The models suggest a novel way of modelling the system
by treating the outburst as a sudden increase then decrease in wind mass-loss
rate and velocity. The differences between this wind model and previous
Primakoff-type simulations are described. A more complex structure, even in 1D,
is revealed through the presence of both forward and reverse shocks, with a
separating contact discontinuity. The effects of radiative cooling are
investigated and key outburst parameters such as mass-loss rate, ejecta
velocity and mass are varied. The shock velocities as a function of time are
compared to the ones derived in Paper I. We show how the manner in which the
matter is ejected controls the evolution of the shock and that for a
well-cooled remnant, the shock deceleration rate depends on the amount of
energy that is radiated away.


title: Local Energy Velocity of Classical Fields

abstract:
  It is proposed to apply a recently developed concept of local wave velocities
to the dynamical field characteristics, especially for the canonical field
energy density. It is shown that local energy velocities can be derived from
the lagrangian directly. The local velocities of zero- and first- order for
energy propagation has been obtained for special cases of scalar and vector
fields. Some important special cases of these results are discussed.


title: Inferring dynamic genetic networks with low order independencies

abstract:
  In this paper, we propose a novel inference method for dynamic genetic
networks which makes it possible to face with a number of time measurements n
much smaller than the number of genes p. The approach is based on the concept
of low order conditional dependence graph that we extend here in the case of
Dynamic Bayesian Networks. Most of our results are based on the theory of
graphical models associated with the Directed Acyclic Graphs (DAGs). In this
way, we define a minimal DAG G which describes exactly the full order
conditional dependencies given the past of the process. Then, to face with the
large p and small n estimation case, we propose to approximate DAG G by
considering low order conditional independencies. We introduce partial qth
order conditional dependence DAGs G(q) and analyze their probabilistic
properties. In general, DAGs G(q) differ from DAG G but still reflect relevant
dependence facts for sparse networks such as genetic networks. By using this
approximation, we set out a non-bayesian inference method and demonstrate the
effectiveness of this approach on both simulated and real data analysis. The
inference procedure is implemented in the R package 'G1DBN' freely available
from the CRAN archive.


title: Enhanced microwave transmission through quasicrystal hole arrays

abstract:
  We report on the observation of enhanced microwave transmission through
quasi-periodic hole arrays in metal films. The fraction of transmitted light
reaches 50% in a self-standing metal film and approaches 90% when the film is
sandwiched between thin dielectric slabs, while the holes occupy only 10% of
the sample area. The maximum transmission is accompanied by zero phase change,
rendering the film almost 'invisible' over a wide frequency range. The
extraordinary transmission phenomenon is interpreted in terms of resonances in
the self-consistent interaction between holes, which are represented by
effective electric and magnetic dipoles.


title: Metastable String Vacua

abstract:
  We argue that tachyon-free type I string vacua with supersymmetry breaking in
the open sector at the string scale can be interpreted, via S and T-duality
arguments, as metastable vacua of supersymmetric type I superstring. The
dynamics of the process can be partially captured via nucleation of
brane-antibrane pairs out of the non-supersymmetric vacuum and subsequent
tachyon condensation.


title: A tree without leaves

abstract:
  The puzzle presented by the famous stumps of Gilboa, New York, finds a
solution in the discovery of two fossil specimens that allow the entire
structure of these early trees to be reconstructed.


title: Characteristic forms of complex Cartan geometries

abstract:
  We calculate relations on characteristic classes which are obstructions
preventing closed K\"ahler manifolds from carrying holomorphic Cartan
geometries. We apply these relations to give global constraints on the phase
spaces of complex analytic determined and underdetermined systems of
differential equations.


title: Families of varieties of general type over compact bases

abstract:
  Let f: X -> Y be a smooth family of canonically polarized complex varieties
over a smooth base. Generalizing the classical Shafarevich hyperbolicity
conjecture, Viehweg conjectured that Y is necessarily of log general type if
the family has maximal variation. A somewhat stronger and more precise version
of Viehweg's conjecture was shown by the authors in arXiv:math/0511378 in the
case where Y is a quasi-projective surface. Assuming that the minimal model
program holds, this very short paper proves the same result for projective base
manifolds Y of arbitrary dimension.


title:
ULTRACAM: an ultra-fast, triple-beam CCD camera for high-speed
  astrophysics

abstract:
  ULTRACAM is a portable, high-speed imaging photometer designed to study faint
astronomical objects at high temporal resolutions. ULTRACAM employs two
dichroic beamsplitters and three frame-transfer CCD cameras to provide
three-colour optical imaging at frame rates of up to 500 Hz. The instrument has
been mounted on both the 4.2-m William Herschel Telescope on La Palma and the
8.2-m Very Large Telescope in Chile, and has been used to study white dwarfs,
brown dwarfs, pulsars, black-hole/neutron-star X-ray binaries, gamma-ray
bursts, cataclysmic variables, eclipsing binary stars, extrasolar planets,
flare stars, ultra-compact binaries, active galactic nuclei, asteroseismology
and occultations by Solar System objects (Titan, Pluto and Kuiper Belt
objects). In this paper we describe the scientific motivation behind ULTRACAM,
present an outline of its design and report on its measured performance.


title: MeV Dark Matter and Small Scale Structure

abstract:
  WIMPs with electroweak scale masses (neutralinos, etc.) remain in kinetic
equilibrium with other particle species until temperatures approximately in the
range of 10 MeV to 1 GeV, leading to the formation of dark matter substructure
with masses as small as $10^{-4} M_{\odot}$ to $10^{-12} M_{\odot}$. However,
if dark matter consists of particles with MeV scale masses, as motivated by the
observation of 511 keV emission from the Galactic Bulge, such particles are
naturally expected to remain in kinetic equilibrium with the cosmic neutrino
background until considerably later times. This would lead to a strong
suppression of small scale structure with masses below about $10^7 M_{\odot}$
to $10^4 M_{\odot}$. This cutoff scale has important implications for present
and future searches for faint Local Group satellite galaxies and for the
missing satellites problem.


title: Is there a relativistic nonlinear generalization of quantum mechanics?

abstract:
  Yes, there is. - A new kind of gauge theory is introduced, where the minimal
coupling and corresponding covariant derivatives are defined in the space of
functions pertaining to the functional Schroedinger picture of a given field
theory. While, for simplicity, we study the example of an U(1) symmetry, this
kind of gauge theory can accommodate other symmetries as well. We consider the
resulting relativistic nonlinear extension of quantum mechanics and show that
it incorporates gravity in the (0+1)-dimensional limit, where it leads to the
Schroedinger-Newton equations. Gravity is encoded here into a universal
nonlinear extension of quantum theory. The probabilistic interpretation, i.e.
Born's rule, holds provided the underlying model has only dimensionless
parameters.


title: Vacant Set of Random Interlacements and Percolation

abstract:
  We introduce a model of random interlacements made of a countable collection
of doubly infinite paths on Z^d, d bigger or equal to 3. A non-negative
parameter u measures how many trajectories enter the picture. This model
describes in the large N limit the microscopic structure in the bulk, which
arises when considering the disconnection time of a discrete cylinder with base
a d-1-dimensional discrete torus of side-length N, or the set of points visited
by simple random walk on the d-dimensional discrete torus of side-length N by
times of order uN^d. We study the percolative properties of the vacant set left
by the interlacement at level u, which is an infinite, connected, translation
invariant random subset of Z^d. We introduce a critical value such that the
vacant set percolates for u below the critical value, and does not percolate
for u above the critical value. Our main results show that the critical value
is finite when d is bigger or equal to 3, and strictly positive when d is
bigger or equal to 7.


title: Dual Feynman transform for modular operads

abstract:
  We introduce and study the notion of a dual Feynman transform of a modular
operad. This generalizes and gives a conceptual explanation of Kontsevich's
dual construction producing graph cohomology classes from a contractible
differential graded Frobenius algebra. The dual Feynman transform of a modular
operad is indeed linear dual to the Feynman transform introduced by Getzler and
Kapranov when evaluated on vacuum graphs. In marked contrast to the Feynman
transform, the dual notion admits an extremely simple presentation via
generators and relations; this leads to an explicit and easy description of its
algebras. We discuss a further generalization of the dual Feynman transform
whose algebras are not necessarily contractible. This naturally gives rise to a
two-colored graph complex analogous to the Boardman-Vogt topological tree
complex.


title:
Boundary triplets and M-functions for non-selfadjoint operators, with
  applications to elliptic PDEs and block operator matrices

abstract:
  Starting with an adjoint pair of operators, under suitable abstract versions
of standard PDE hypotheses, we consider the Weyl M-function of extensions of
the operators. The extensions are determined by abstract boundary conditions
and we establish results on the relationship between the M-function as an
analytic function of a spectral parameter and the spectrum of the extension. We
also give an example where the M-function does not contain the whole spectral
information of the resolvent, and show that the results can be applied to
elliptic PDEs where the M-function corresponds to the Dirichlet to Neumann map.


title: Beyond the semi-classical description of black hole evaporation

abstract:
  In the semi-classical treatment, i.e. in a classical black hole geometry,
Hawking quanta emerge from trans-Planckian configurations because of scale
invariance. There is indeed no scale to stop the blue-shifting effect
encountered in the backward propagation towards the event horizon. On the
contrary, when taking into account the gravitational interactions neglected in
the semi-classical treatment, a UV scale stopping the blue-shift could be
dynamically engendered. To show that this is the case, we use a
non-perturbative treatment based on the large-N limit, where $N$ is the number
of matter fields. In this limit, the semi-classical treatment is the leading
contribution. Non-linear gravitational effects appear in the next orders and in
the first of these, the effects are governed by the two-point correlation
function of the energy-momentum tensor evaluated in the vacuum. Taking this
correlator into account, backward propagated modes are dissipated at a distance
from the horizon $\propto G\kappa$ when measured in a freely falling frame.
($G$ is Newton's constant and $\kappa$ the surface gravity.) This result can be
also obtained by considering light propagation in a stochastic ensemble of
metrics whose fluctuations are determined by the above correlator.