title:
Properties of positive solutions of an Elliptic Equation with negative
  exponents

abstract:
  In this paper, we study the existence and non-existence result of positive
solutions to a singular elliptic equation with negative power on the bounded
smooth domain or in the whole Euclidean space. Our model arises in the study of
the steady states of thin films and other applied physics. We can get some
useful local gradient estimate and L1 lower bound for positive solutions of the
elliptic equation. A uniform positive lower bound for convex positive solutions
is also obtained. We show that in lower dimensions, there is no stable positive
solutions in the whole space. In the whole space of dimension two, we can show
that there is no positive smooth solution with finite Morse index. Symmetry
properties of related integral equations are also given.


title: Critique of Feinstein's Proof that P is not Equal to NP

abstract:
  We examine a proof by Craig Alan Feinstein that P is not equal to NP. We
present counterexamples to claims made in his paper and expose a flaw in the
methodology he uses to make his assertions. The fault in his argument is the
incorrect use of reduction. Feinstein makes incorrect assumptions about the
complexity of a problem based on the fact that there is a more complex problem
that can be used to solve it. His paper introduces the terminology "imaginary
processor" to describe how it is possible to beat the brute force reduction he
offers to solve the Subset-Sum problem. The claims made in the paper would not
be validly established even were imaginary processors to exist.


title:
Observation of back-action cancellation in interferometric and weak
  force measurements

abstract:
  We experimentally demonstrate a cancellation of back-action noise in optical
measurements. Back-action cancellation was first proposed within the framework
of gravitational-wave detection by dual resonators as a way to drastically
improve their sensitivity. We have developed an experiment based on a
high-finesse Fabry-Perot cavity to study radiation-pressure effects in
ultra-sensitive displacement measurements. Using an intensity-modulated
intracavity field to mimic the quantum radiation-pressure noise, we report the
first observation of back-action cancellation due to a destructive interference
between radiation-pressure effects on both mirrors of the cavity. We have
observed a sensitivity improvement by a factor larger than 20 both in
displacement and weak force measurements.


title:
Phase structure of a spherical surface model on fixed connectivity
  meshes

abstract:
  An elastic surface model is investigated by using the canonical Monte Carlo
simulation technique on triangulated spherical meshes. The model undergoes a
first-order collapsing transition and a continuous surface fluctuation
transition. The shape of surfaces is maintained by a one-dimensional bending
energy, which is defined on the mesh, and no two-dimensional bending energy is
included in the Hamiltonian.


title:
The first-passage area for drifted Brownian motion and the moments of
  the Airy distribution

abstract:
  An exact expression for the distribution of the area swept out by a drifted
Brownian motion till its first-passage time is derived. A study of the
asymptotic behaviour confirms earlier conjectures and clarifies their range of
validity. The analysis also leads to a simple closed-form solution for the
moments of the Airy distribution.


title: Oscillatory secular modes: The thermal micropulses

abstract:
  Stars in the narrow mass range of about 2.5 and 3.5 solar masses can develop
a thermally unstable He-burning shell during its ignition phase. We study, from
the point of view secular stability theory, these so called thermal micropulses
and we investigate their properties; the thermal pulses constitute a convenient
conceptual laboratory to look thoroughly into the physical properties of a
helium-burning shell during the whole thermally pulsing episode. Linear
stability analyses were performed on a large number of 3 solar-mass star models
at around the end of their core helium-burning and the beginning of the
double-shell burning phase. The stellar models were not assumed to be in
thermal equilibrium. The thermal mircopulses, and we conjecture all other
thermal pulse episodes encountered by shell-burning stars, can be understood as
the nonlinear finite-amplitude realization of an oscillatory secular
instability that prevails during the whole thermal pulsing episode. Hence, the
cyclic nature of the thermal pulses can be traced back to a linear instability
concept.


title: Getting started in probabilistic graphical models

abstract:
  Probabilistic graphical models (PGMs) have become a popular tool for
computational analysis of biological data in a variety of domains. But, what
exactly are they and how do they work? How can we use PGMs to discover patterns
that are biologically relevant? And to what extent can PGMs help us formulate
new hypotheses that are testable at the bench? This note sketches out some
answers and illustrates the main ideas behind the statistical approach to
biological pattern discovery.

categories: q-bio.QM cs.LG physics.soc-ph stat.ME stat.ML


title: Disappearing cosmological constant in f(R) gravity

abstract:
  For higher-derivative f(R) gravity where R is the Ricci scalar, a class of
models is proposed which produce viable cosmology different from the LambdaCDM
one at recent times and satisfy cosmological, Solar system and laboratory
tests. These models have both flat and de Sitter space-times as particular
solutions in the absence of matter. Thus, a cosmological constant is zero in
flat space-time, but appears effectively in a curved one for sufficiently large
R. A 'smoking gun' for these models would be small discrepancy in values of the
slope of the primordial perturbation power spectrum determined from galaxy
surveys and CMB fluctuations. On the other hand, a new problem for dark energy
models based on f(R) gravity is pointed which is connected with possible
overproduction of new massive scalar particles (scalarons) arising in this
theory in the very early Universe.


title: 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry

abstract:
  In this paper we generalize the work of Lin, Lunin and Maldacena on the
classification of 1/2-BPS M-theory solutions to a specific class of 1/4-BPS
configurations. We are interested in the solutions of 11 dimensional
supergravity with $SO(3)\times SO(4)$ symmetry, and it is shown that such
solutions are constructed over a one-parameter familiy of 4 dimensional almost
Calabi-Yau spaces. Through analytic continuations we can obtain M-theory
solutions having $AdS_2\times S^3$ or $AdS_3\times S^2$ factors. It is shown
that our result is equivalent to the $AdS$ solutions which have been recently
reported as the near-horizon geometry of M2 or M5-branes wrapped on 2 or
4-cycles in Calabi-Yau threefolds. We also discuss the hierarchy of M-theory
bubbles with different number of supersymmetries.


title:
Phase Spaces in Special Relativity: Towards Eliminating Gravitational
  Singularities

abstract:
  This paper shows one way to construct phase spaces in special relativity by
expanding Minkowski Space. These spaces appear to indicate that we can dispense
with gravitational singularities. The key mathematical ideas in the present
approach are to include a complex phase factor, such as, e^{i\phi} in the
Lorentz transformation and to use both the proper time and the proper mass as
parameters. To develop the most general case, a complex parameter \sigma=s+im,
is introduced, where s is the proper time, and m is the proper mass, and \sigma
and {\sigma}/{|\sigma|} are used to parameterize the position of a particle (or
reference frame) in space-time-matter phase space. A new reference variable,
u={m}/{r}, is needed (in addition to velocity), and assumed to be bounded by 0
and {c^{2}}/{G}=1, in geometrized units. Several results are derived: The
equation E=mc^2 apparently needs to be modified to
E^2={s^2c^{10}}/{G^2}+m^2c^4, but a simpler (invariant) parameter is the
"energy to length" ratio, which is {c^4}/{G} for any spherical region of
space-time-matter. The generalized "momentum vector" becomes completely
"masslike" for u\approx 0.79, which we think indicates the existence of a
maximal gravity field. Thus, gravitational singularities do not occur. Instead,
as u approaches 1 matter is apparently simply crushed into free space. In the
last section of this paper we attempt some further generalizations of the phase
space ideas developed in this paper.


title: Lines of minima are uniformly quasi-geodesic

abstract:
  We continue the comparison between lines of minima and Teichmueller geodesics
begun in [CRS1]. We show that in the Teichmueller space of a surface S, lines
of minima are quasi-geodesic with respect to the Teichmueller metric. The
quasi-geodesic constants depend only on the topological type of S.


title:
Measurement of Branching Fraction and Time-Dependent CP Asymmetry
  Parameters in B0 -> D*+ D*- Ks Decays

abstract:
  We present a measurement of the branching fraction and time-dependent CP
violation parameters for B0 -> D*+ D*- Ks decays. We also obtain an upper limit
on the product branching fraction for the possible two-body decay, B0 ->
Ds1+(2536) D*-. These results are obtained from a 414 fb-1 data sample that
contains 449e10^6 BBbar pairs collected at the Upsilon(4S) resonance with the
Belle detector at the KEKB asymmetric e+e- collider.


title: Non-Supersymmetric Unattractors in Born-Infeld Black Holes

abstract:
  We investigate unattractor behavior in non-extremal black holes in
Einstein-Born-Infeld-Dilaton theory of gravity in four-dimensional
asymptotically flat spacetime. We obtain solutions which are non-singular near
the horizon and dependent on the value of the dilaton field at the infinity,
using perturbation method. It is shown that the value of the scalar field at
the horizon is determined by its asymptotic value and the charges carried by
the black hole. And we also find it is not true in general that the dilaton
value at the horizon is a monotonically increasing function of the first
coefficient of its series expansion in non-extremal Born-Infeld black holes.


title:
Dynamic ordering of driven vortex matter in the peak effect regime of
  amorphous MoGe films and 2H-NbSe2 crystals

abstract:
  Dynamic ordering of driven vortex matter has been investigated in the peak
effect regime of both amorphous MoGe films and 2H-NbSe2 crystals by mode
locking (ML) and dc transport measurements. ML features allow us to trace how
the shear rigidity of driven vortices evolves with the average velocity.
Determining the onset of ML resonance in different magnetic fields and/or
temperatures, we find that the dynamic ordering frequency (velocity) exhibits a
striking divergence in the higher part of the peak effect regime.
Interestingly, this phenomenon is accompanied by a pronounced peak of dynamic
critical current. Mapping out field-temperature phase diagrams, we find that
divergent points follow well the thermodynamic melting curve of the ideal
vortex lattice over wide field and/or temperature ranges. These findings
provide a link between the dynamic and static melting phenomena which can be
distinguished from the disorder induced peak effect.


title:
Thouless-Anderson-Palmer equation for analog neural network with
  temporally fluctuating white synaptic noise

abstract:
  Effects of synaptic noise on the retrieval process of associative memory
neural networks are studied from the viewpoint of neurobiological and
biophysical understanding of information processing in the brain. We
investigate the statistical mechanical properties of stochastic analog neural
networks with temporally fluctuating synaptic noise, which is assumed to be
white noise. Such networks, in general, defy the use of the replica method,
since they have no energy concept. The self-consistent signal-to-noise analysis
(SCSNA), which is an alternative to the replica method for deriving a set of
order parameter equations, requires no energy concept and thus becomes
available in studying networks without energy functions. Applying the SCSNA to
stochastic network requires the knowledge of the Thouless-Anderson-Palmer (TAP)
equation which defines the deterministic networks equivalent to the original
stochastic ones. The study of the TAP equation which is of particular interest
for the case without energy concept is very few, while it is closely related to
the SCSNA in the case with energy concept. This paper aims to derive the TAP
equation for networks with synaptic noise together with a set of order
parameter equations by a hybrid use of the cavity method and the SCSNA.


title:
Geometry of curves with exceptional secant planes: linear series along
  the general curve

abstract:
  We study linear series on a general curve of genus $g$, whose images are
exceptional with regard to their secant planes. Working in the framework of an
extension of Brill-Noether theory to pairs of linear series, we prove that a
general curve has no linear series with exceptional secant planes, in a very
precise sense, whenever the total number of series is finite. Next, we
partially solve the problem of computing the number of linear series with
exceptional secant planes in a one-parameter family in terms of tautological
classes associated with the family, by evaluating our hypothetical formula
along judiciously-chosen test families. As an application, we compute the
number of linear series with exceptional secant planes on a general curve
equipped with a one-dimensional family of linear series. We pay special
attention to the extremal case of $d$-secant $(d-2)$-planes to
$(2d-1)$-dimensional series, which appears in the study of Hilbert schemes of
points on surfaces. In that case, our formula may be rewritten in terms of
hypergeometric series, which allows us both to prove that it is nonzero and to
deduce its asymptotics in $d$.


title: Black Holes and Large N Species Solution to the Hierarchy Problem

abstract:
  We provide the perturbative and non-perturbative arguments showing that
theories with large number of species of the quantum fields, imply an
inevitable hierarchy between the masses of the species and the Planck scale,
shedding a different light on the hierarchy problem. In particular, using the
black hole physics, we prove that any consistent theory that includes N number
of the Z_2-conserved species of the quantum fields of mass \Lambda, puts a
lower bound on the Planck mass, which in large N limit is given by N\Lambda^2.
An useful byproduct of this proof is that any exactly conserved quantum charge,
not associated with a long-range classical field, must be defined maximum
modulo N, bounded by the the ratio of the Planck to the unit charge masses
squared. For example, a continuous global U(1) `baryon number' symmetry, must
be explicitly broken by gravity, at least down to a Z_N subgroup, with N
bounded by the ratio of the Planck to baryon masses squared. The same
constraint applies to any discrete gauge symmetry, as well as to other
quantum-mechanically detectable black hole charges that are associated with the
massive quantum hair of the black hole. We show that the
gravitationally-coupled N-species sector that solves the gauge hirearchy
problem, should be probed by LHC.


title:
Collapse of unit horizontal bundles equipped with a metric of
  Cheeger-Gromoll type

abstract:
  We study unit horizontal bundles associated with Riemannian submersions.
First we investigate metric properties of an arbitrary unit horizontal bundle
equipped with a Riemannian metric of the Cheeger-Gromoll type. Next we examine
it from the Gromov-Hausdorff convergence theory point of view, and we state a
collapse theorem for unit horizontal bundles associated with a sequence of
warped Riemannian submersions.


title: Multicritical Points of Potts Spin Glasses on the Triangular Lattice

abstract:
  We predict the locations of several multicritical points of the Potts spin
glass model on the triangular lattice. In particular, continuous multicritical
lines, which consist of multicritical points, are obtained for two types of
two-state Potts (i.e., Ising) spin glasses with two- and three-body
interactions on the triangular lattice. These results provide us with numerous
examples to further verify the validity of the conjecture, which has succeeded
in deriving highly precise locations of multicritical points for several spin
glass models. The technique, called the direct triangular duality, a variant of
the ordinary duality transformation, directly relates the triangular lattice
with its dual triangular lattice in conjunction with the replica method.


title: Simple Model of Complex Reflection Behaviour in Two-Species Community

abstract:
  The model of smart migration for two-species community is developed, where
the individuals implement reflexive strategy of spatial redistribution.
Simulations have been used to figure out the situations where reflexy gives an
advantage over a non-reflexive spatial behaviour, and vice versa.


title: Determining the Sign of the Z-Penguin Amplitude

abstract:
  We point out that the precision measurements of the pseudo observables R_b^0,
A_b, and A_FB^0,b performed at LEP and SLC suggest that in models with
minimal-flavor-violation the sign of the Z-penguin amplitude is identical to
the one present in the standard model. We determine the allowed range for the
non-standard contribution to the Inami-Lim function C and show by analyzing
possible scenarios with positive and negative interference of standard model
and new physics contributions, that the derived bound holds in each given case.
Finally, we derive lower and upper limits for the branching ratios of K^+ ->
pi^+ nu nubar, K_L -> pi^0 nu nubar, K_L -> mu^+ mu^-, B -> X_d,s nu nubar, and
B_d,s -> mu^+ mu^- within constrained minimal-flavor-violation making use of
the wealth of available data collected at the Z-pole.


title: The TACTIC atmospheric Cherenkov Imaging telescope

abstract:
  The TACTIC $\gamma$-ray telescope, equipped with a light collector of area
$\sim$9.5m$^2$ and a medium resolution imaging camera of 349-pixels, has been
in operation at Mt.Abu, India since 2001. This paper describes the main
features of its various subsystems and its overall performance with regard to
(a) tracking accuracy of its 2-axes drive system, (b) spot size of the light
collector, (c) back-end signal processing electronics and topological trigger
generation scheme, (d) data acquisition and control system and (e) relative and
absolute gain calibration methodology. Using a trigger field of view of
11$\times$11 pixels ($\sim$ 3.4$^\circ$$\times3.4^\circ$), the telescope
records a cosmic ray event rate of $\sim$2.5 Hz at a typical zenith angle of
15$^\circ$. Monte Carlo simulation results are also presented in the paper for
comparing the expected performance of the telescope with actual observational
results. The consistent detection of a steady signal from the Crab Nebula above
$\sim$1.2 TeV energy, at a sensitivity level of $\sim5.0\sigma$ in $\sim$25 h,
alongwith excellent matching of its energy spectrum with that obtained by other
groups, reassures that the performance of the TACTIC telescope is quite stable
and reliable. Furthermore, encouraged by the detection of strong $\gamma$-ray
signals from Mrk 501 (during 1997 and 2006 observations) and Mrk 421 (during
2001 and 2005-2006 observations), we believe that there is considerable scope
for the TACTIC telescope to monitor similar TeV $\gamma$-ray emission activity
from other active galactic nuclei on a long term basis.


title: Recent Developments in Bbar -> X_s gamma

abstract:
  We present a concise review of the recent theoretical progress concerning the
standard model calculation of the inclusive radiative Bbar -> X_s gamma decay.
Particular attention is thereby devoted to the calculations of the
next-to-next-to-leading order fixed-order O(alpha_s^2) contributions, non-local
O(alpha_s Lambda/m_b) power corrections, and logarithmic-enhanced O(alpha_s^2)
cut-effects to the decay rate. The current status of new physics calculations
of the inclusive b -> s gamma mode is also briefly summarized.


title: Marcus-Lushnikov processes, Smoluchowski's and Flory's models

abstract:
  The Marcus-Lushnikov process is a finite stochastic particle system in which
each particle is entirely characterized by its mass. Each pair of particles
with masses $x$ and $y$ merges into a single particle at a given rate $K(x,y)$.
We consider a {\it strongly gelling} kernel behaving as $K(x,y)=x^\alpha y + x
y^\alpha$ for some $\alpha\in (0,1]$. In such a case, it is well-known that
{\it gelation} occurs, that is, giant particles emerge. Then two possible
models for hydrodynamic limits of the Marcus-Lushnikov process arise: the
Smoluchowski equation, in which the giant particles are inert, and the Flory
equation, in which the giant particles interact with finite ones. We show that,
when using a suitable cut-off coagulation kernel in the Marcus-Lushnikov
process and letting the number of particles increase to infinity, the possible
limits solve either the Smoluchowski equation or the Flory equation. We also
study the asymptotic behaviour of the largest particle in the Marcus-Lushnikov
process without cut-off and show that there is only one giant particle. This
single giant particle represents, asymptotically, the lost mass of the solution
to the Flory equation.


title: Thermal stability of n-dodecane : experiments and kinetic modelling

abstract:
  The thermal decomposition of n-dodecane, a component of some jet fuels, has
been studied in a jet-stirred reactor at temperatures from 793 to 1093 K, for
residence times between 1 and 5 s and at atmospheric pressure. Thermal
decomposition of hydrocarbon fuel prior the entrance in the combustion chamber
is an envisaged way to cool the wall of hypersonic vehicles. The products of
the reaction are mainly hydrogen, methane, ethane, 1,3-butadiene and 1-alkenes
from ethylene to 1-undecene. For higher temperatures and residence times
acetylene, allene, propyne, cyclopentene, 1,3-cyclopentadiene and aromatic
compounds from benzene to pyrene through naphthalene have also been observed. A
previous detailed kinetic model of the thermal decomposition of n-dodecane
generated using EXGAS software has been improved and completed by a
sub-mechanism explaining the formation and the consumption of aromatic
compounds.


title:
BRIDGE: A Direct-tree Hybrid N-body Algorithm for Fully Self-consistent
  Simulations of Star Clusters and their Parent Galaxies

abstract:
  We developed a new direct-tree hybrid N-body algorithm for fully
self-consistent N-body simulations of star clusters in their parent galaxies.
In such simulations, star clusters need high accuracy, while galaxies need a
fast scheme because of the large number of the particles required to model it.
In our new algorithm, the internal motion of the star cluster is calculated
accurately using the direct Hermite scheme with individual timesteps and all
other motions are calculated using the tree code with second-order leapfrog
integrator. The direct and tree schemes are combined using an extension of the
mixed variable symplectic (MVS) scheme. Thus, the Hamiltonian corresponding to
everything other than the internal motion of the star cluster is integrated
with the leapfrog, which is symplectic. Using this algorithm, we performed
fully self-consistent N-body simulations of star clusters in their parent
galaxy. The internal and orbital evolutions of the star cluster agreed well
with those obtained using the direct scheme. We also performed fully
self-consistent N-body simulation for large-N models ($N=2\times 10^6$). In
this case, the calculation speed was seven times faster than what would be if
the direct scheme was used.


title: The autoignition of cyclopentane and cyclohexane in a shock tube

abstract:
  Ignition delay times of cyclohexane-oxygen-argon and
cyclopentane-oxygen-argon mixtures have been measured in a shock tube, the
onset of ignition being detected by OH radical emission. Mixtures contained 0.5
or 1 % of hydrocarbon for equivalence ratios ranging from 0.5 to 2. Reflected
shock waves allowed temperatures from 1230 to 1800 K and pressures from 7.3 to
9.5 atm to be obtained. These measurements have shown that cyclopentane is much
less reactive than cyclohexane, as for a given temperature the observed
autoignition delay times were about ten times higher for the C5 compound
compared to the C6. Detailed mechanisms for the combustion of cyclohexane and
cyclopentane have been proposed to reproduce these results. The elementary
steps included in the kinetic models of the oxidation of cyclanes are close to
those proposed to describe the oxidation of acyclic alkanes and alkenes.
Consequently, it has been possible to obtain these models by using an improved
version of software EXGAS, a computer package developed to perform the
automatic generation of detailed kinetic models for the gas-phase oxidation and
combustion of linear and branched alkanes and alkenes. Nevertheless, the
modelling of the oxidation of cyclanes requires to consider new types of
generic reactions, and especially to define new correlations for the estimation
of the rate constants. Ab initio calculations have been used to better know
some of the rate constants used in the case of cyclopentane. The main reaction
pathways have been derived from flow rate and sensitivity analyses.


title:
Extension of the composite CBS-QB3 method to singlet diradical
  calculations

abstract:
  The composite CBS-QB3 method is widely used to obtain accurate energies of
molecules and radicals although its use in the case of singlet diradicals gives
rise to some difficulties. The problem is related to the parameterized
correction this method introduces to account for spin-contamination. We report
a new term specifically designed to describe singlet diradicals separated by at
least one CH2 unit. As a test case, we have computed the formation enthalpy of
a series of diradicals that includes hydrocarbons as well as systems involving
heteroatoms (nitrogen, oxygen). The resulting CBS-QB3 energies are very close
to experiment.


title:
Kinetic modelling of a surrogate diesel fuel applied to 3D auto-ignition
  in HCCI engines

abstract:
  The prediction of auto-ignition delay times in HCCI engines has risen
interest on detailed chemical models. This paper described a validated kinetic
mechanism for the oxidation of a model Diesel fuel (n-decane and
α-methylnaphthalene). The 3D model for the description of low and high
temperature auto-ignition in engines is presented. The behavior of the model
fuel is compared with that of n-heptane. Simulations show that the 3D model
coupled with the kinetic mechanism can reproduce experimental HCCI and Diesel
engine results and that the correct modeling of auto-ignition in the cool flame
region is essential in HCCI conditions.


title: Berry's phase for coherent states of Landau levels

abstract:
  The Berry phases for coherent states and squeezed coherent states of Landau
levels are calculated. Coherent states of Landau levels are interpreted as a
result of a magnetic flux moved adiabatically from infinity to a finite place
on the plane. The Abelian Berry phase for coherent states of Landau levels is
an analog of the Aharonov- Bohm effect. Moreover, the non-Abelian Berry phase
is calculated for the adiabatic evolution of the magnetic field B.


title: Modelling of the gas-phase oxidation of cyclohexane

abstract:
  This paper presents a modeling study of the oxidation of cyclohexane from low
to intermediate temperature (650-1050 K), including the negative temperature
coefficient (NTC) zone. A detailed kinetic mechanism has been developed using
computer-aided generation. This comprehensive low-temperature mechanism
involves 513 species and 2446 reactions and includes two additions of
cyclohexyl radicals to oxygen, as well as subsequent reactions. The rate
constants of the reactions involving the formation of bicyclic species
(isomerizations, formation of cyclic ethers) have been evaluated from
literature data. This mechanism is able to satisfactorily reproduce
experimental results obtained in a rapid-compression machine for temperatures
ranging from 650 to 900 K and in a jet-stirred reactor from 750 to 1050 K.
Flow-rate analyses have been performed at low and intermediate temperatures.


title: Weak collapsing and geometrisation of aspherical 3-manifolds

abstract:
  Let M be a closed, orientable, irreducible, non-simply connected 3-manifold.
We prove that if M admits a sequence of Riemannian metrics whose sectional
curvature is locally controlled and whose thick part becomes asymptotically
hyperbolic and has a sufficiently small volume, then M is Seifert fibred or
contains an incompressible torus. This result gives an alternative approach for
the last step in Perelman's proof of the Geometrisation Conjecture for
aspherical 3-manifolds.


title: Primary reactions of the thermal decomposition of tricyclodecane

abstract:
  In order to better understand the thermal decomposition of polycyclanes, the
pyrolysis of tricyclodecane has been studied in a jet-stirred reactor at
temperatures from 848 to 933 K, for residence times between 0.5 and 6 s and at
atmospheric pressure, in order to obtain a conversion between 0.01 and 25 %.
The main products of the reaction are hydrogen, methane, ethylene, ethane,
propene, 1,3-cyclopentadiene, cyclopentene, benzene, 1,5-hexadiene, toluene and
3-cyclopentyl-cyclopentene. A primary mechanism containing all the possible
initiation steps, including those involving diradicals, as well as propagation
reactions has been developed and allows experimental results to be
satisfactorily modeled. The main reaction pathways of consumption of
tricyclodecane and of formation of the main products have been derived from
flow rate and sensitivity analyses.


title: Use of detailed kinetic mechanisms for the prediction of autoignitions

abstract:
  This paper describes how automatically generated detailed kinetic mechanisms
are obtained for the oxidation of alkanes and how these models could lead to a
better understanding of autoignition and cool flame risks at elevated
conditions. Examples of prediction of the occurrence of different autoignition
phenomena, such as cool flames or two-stage ignitions are presented depending
on the condition of pressure, temperature and mixture composition. Three
compounds are treated, a light alkane, propane, and two heavier ones, n-heptane
and n-decane.


title:
Experimental study of the structure of rich premixed
  1,3-butadiene/CH4/O2/Ar flame

abstract:
  The structure of a laminar rich premixed 1,3-C4H6/CH4/O2/Ar flame have been
investigated. 1,3-Butadiene, methane, oxygen and argon mole fractions are
0.033; 0.2073; 0.3315, and 0.4280, respectively, for an equivalent ratio of
1.80. The flame has been stabilized on a burner at a pressure of 6.7 kPa (50
Torr). The concentration profiles of stable species were measured by gas
chromatography after sampling with a quartz probe. Quantified species included
carbon monoxide and dioxide, methane, oxygen, hydrogen, ethane, ethylene,
acetylene, propyne, allene, propene, cyclopropane, 1,3-butadiene, butenes,
1-butyne, vinylacetylene, diacetylene, C5 compounds, benzene, and toluene. The
temperature was measured thanks to a thermocouple in PtRh (6%)-PtRh (30%)
settled inside the enclosure and ranged from 900 K close to the burner up to
2100 K.


title:
Building Portable Thread Schedulers for Hierarchical Multiprocessors:
  the BubbleSched Framework

abstract:
  Exploiting full computational power of current more and more hierarchical
multiprocessor machines requires a very careful distribution of threads and
data among the underlying non-uniform architecture. Unfortunately, most
operating systems only provide a poor scheduling API that does not allow
applications to transmit valuable scheduling hints to the system. In a previous
paper, we showed that using a bubble-based thread scheduler can significantly
improve applications' performance in a portable way. However, since
multithreaded applications have various scheduling requirements, there is no
universal scheduler that could meet all these needs. In this paper, we present
a framework that allows scheduling experts to implement and experiment with
customized thread schedulers. It provides a powerful API for dynamically
distributing bubbles among the machine in a high-level, portable, and efficient
way. Several examples show how experts can then develop, debug and tune their
own portable bubble schedulers.


title: Probing CP violation in neutrino oscillations with neutrino telescopes

abstract:
  Measurements of flavor ratios of astrophysical neutrino fluxes are sensitive
to the two yet unknown mixing parameters $\theta_{13}$ and $\delta$ through the
combination $\sin\theta_{13}\cos\delta$. We extend previous studies by
considering the possibility that neutrino fluxes from more than a single type
of sources will be measured. We point out that, if reactor experiments
establish a lower bound on $\theta_{13}$, then neutrino telescopes might
establish an upper bound on $|\cos\delta|$ that is smaller than one, and by
that prove that CP is violated in neutrino oscillations. Such a measurement
requires several favorable ingredients to occur: (i) $\theta_{13}$ is not far
below the present upper bound; (ii) The uncertainties in $\theta_{12}$ and
$\theta_{23}$ are reduced by a factor of about two; (iii) Neutrino fluxes from
muon-damped sources are identified, and their flavor ratios measured with
accuracy of order 10% or better. For the last condition to be achieved with the
planned km^3 detectors, the neutrino flux should be close to the Waxman-Bahcall
bound. It motivates neutrino telescopes that are effectively about 10 times
larger than IceCube for energies of O(100 TeV), even at the expense of a higher
energy threshold.


title:
Three loop DIS and transversity operator anomalous dimensions in the RI'
  scheme

abstract:
  We discuss the computation of the three loop anomalous dimensions for various
operators used in deep inelastic scattering in the MSbar and RI' schemes. In
particular the results for the n = 5 and 6 Wilson operators in arbitrary linear
covariant gauge in the RI' scheme are new.


title: A FRW Dark Fluid with a Non-Linear Inhomogeneous Equation of State

abstract:
  A dark Friedman-Robertson-Walker fluid governed by a non-linear inhomogeneous
equation of state is considered which can be viewed as a conveniently simple
paradigm for a whole class of models which exhibit phase transitions from a
non-phantom towards a phantom era (superacceleration transition). From another
side, such dark fluid models may describe also quintessence-like cosmic
acceleration. Thermodynamical considerations for the processes involved, which
are of great importance in the characterization of the global evolution of the
corresponding universe, are given too. Connecting the proposed equation of
state with an anisotropic Kasner universe with viscosity, we are led to the
plausible conjecture of a dark fluid origin of the anisotropies in the early
universe.


title: An Efficient OpenMP Runtime System for Hierarchical Arch

abstract:
  Exploiting the full computational power of always deeper hierarchical
multiprocessor machines requires a very careful distribution of threads and
data among the underlying non-uniform architecture. The emergence of multi-core
chips and NUMA machines makes it important to minimize the number of remote
memory accesses, to favor cache affinities, and to guarantee fast completion of
synchronization steps. By using the BubbleSched platform as a threading backend
for the GOMP OpenMP compiler, we are able to easily transpose affinities of
thread teams into scheduling hints using abstractions called bubbles. We then
propose a scheduling strategy suited to nested OpenMP parallelism. The
resulting preliminary performance evaluations show an important improvement of
the speedup on a typical NAS OpenMP benchmark application.


title:
Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of
  the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids

abstract:
  One of the most important tasks in high energy physics is search for the
exotic states, such as glueball, hybrid and multi-quark states. The transitions
$\psi(ns)\to \psi(ms)+\pi\pi$ and $\Upsilon(ns)\to \Upsilon(ms)+\pi\pi$ attract
great attentions because they may reveal characteristics of hybrids. In this
work, we analyze those transition modes in terms of the theoretical framework
established by Yan and Kuang. It is interesting to notice that the intermediate
states between the two gluon-emissions are hybrids, therefore by fitting the
data, we are able to determine the mass spectra of hybrids. The ground hybrid
states are predicted as 4.23 GeV (for charmonium) and 10.79 GeV (for bottonium)
which do not correspond to any states measured in recent experiments, thus it
may imply that very possibly, hybrids mix with regular quarkonia to constitute
physical states. Comprehensive comparisons of the potentials for hybrids whose
parameters are obtained in this scenario with the lattice results are
presented.


title: Bianchi Model CMB Polarization and its Implications for CMB Anomalies

abstract:
  We derive the CMB radiative transfer equation in the form of a multipole
hierarchy in the nearly-Friedmann-Robertson-Walker limit of homogeneous, but
anisotropic, universes classified via their Bianchi type. Compared with
previous calculations, this allows a more sophisticated treatment of
recombination, produces predictions for the polarization of the radiation, and
allows for reionization. Our derivation is independent of any assumptions about
the dynamical behaviour of the field equations, except that it requires
anisotropies to be small back to recombination; this is already demanded by
observations.
  We calculate the polarization signal in the Bianchi VIIh case, with the
parameters recently advocated to mimic the several large-angle anomalous
features observed in the CMB. We find that the peak polarization signal is ~
1.2 micro K for the best-fit model to the temperature anisotropies, and is
mostly confined to multipoles l<10. Remarkably, the predicted large-angle EE
and TE power spectra in the Bianchi model are consistent with WMAP observations
that are usually interpreted as evidence of early reionization. However, the
power in B-mode polarisation is predicted to be similar to the E-mode power and
parity-violating correlations are also predicted by the model; the WMAP
non-detection of either of these signals casts further strong doubts on the
veracity of attempts to explain the large-angle anomalies with global
anisotropy. On the other hand, given that there exist further dynamical degrees
of freedom in the VIIh universes that are yet to be compared with CMB
observations, we cannot at this time definitively reject the anisotropy
explanation.


title:
A Finite Semantics of Simply-Typed Lambda Terms for Infinite Runs of<br>
  Automata

abstract:
  Model checking properties are often described by means of finite automata.
Any particular such automaton divides the set of infinite trees into finitely
many classes, according to which state has an infinite run. Building the full
type hierarchy upon this interpretation of the base type gives a finite
semantics for simply-typed lambda-trees.
  A calculus based on this semantics is proven sound and complete. In
particular, for regular infinite lambda-trees it is decidable whether a given
automaton has a run or not. As regular lambda-trees are precisely recursion
schemes, this decidability result holds for arbitrary recursion schemes of
arbitrary level, without any syntactical restriction.


title: Codon Usage Bias Measured Through Entropy Approach

abstract:
  Codon usage bias measure is defined through the mutual entropy calculation of
real codon frequency distribution against the quasi-equilibrium one. This
latter is defined in three manners: (1) the frequency of synonymous codons is
supposed to be equal (i.e., the arithmetic mean of their frequencies); (2) it
coincides to the frequency distribution of triplets; and, finally, (3) the
quasi-equilibrium frequency distribution is defined as the expected frequency
of codons derived from the dinucleotide frequency distribution. The measure of
bias in codon usage is calculated for 125 bacterial genomes.


title:
Nonclassical dynamics of Bose condensates in an optical lattice in the
  superfluid regime

abstract:
  A condensate in an optical lattice, prepared in the ground state of the
superfluid regime, is stimulated first by suddenly increasing the optical
lattice amplitude and then, after a waiting time, by abruptly decreasing this
amplitude to its initial value. Thus the system is first taken to the Mott
regime and then back to the initial superfluid regime. We show that, as a
consequence of this nonadiabatic process, the system falls into a configuration
far from equilibrium whose superfluid order parameter is described in terms of
a particular superposition of Glauber coherent states that we derive. We also
show that the classical equations of motion describing the time evolution of
this system are inequivalent to the standard discrete nonlinear Schreodinger
equations. By numerically integrating such equations with several initial
conditions, we show that the system loses coherence, becoming insulating.


title:
Collective Charge Excitations below the Metal-to-Insulator Transition in
  BaVS3

abstract:
  The charge response in the barium vanadium sulfide (BaVS3) single crystals is
characterized by dc resistivity and low frequency dielectric spectroscopy. A
broad relaxation mode in MHz range with huge dielectric constant ~= 10^6
emerges at the metal-to-insulator phase transition TMI ~= 67 K, weakens with
lowering temperature and eventually levels off below the magnetic transition
Tchi ~= 30 K. The mean relaxation time is thermally activated in a manner
similar to the dc resistivity. These features are interpreted as signatures of
the collective charge excitations characteristic for the orbital ordering that
gradually develops below TMI and stabilizes at long-range scale below Tchi.


title: Experiments on the twisted vortex state in superfluid 3He-B

abstract:
  We have performed measurements and numerical simulations on a bundle of
vortex lines which is expanding along a rotating column of initially
vortex-free 3He-B. Expanding vortices form a propagating front: Within the
front the superfluid is involved in rotation and behind the front the twisted
vortex state forms, which eventually relaxes to the equilibrium vortex state.
We have measured the magnitude of the twist and its relaxation rate as function
of temperature above 0.3Tc. We also demonstrate that the integrity of the
propagating vortex front results from axial superfluid flow, induced by the
twist.


title: Preserving zeros of a polynomial

abstract:
  We study non-linear surjective mappings on subsets of ${\cal M}_n(F)$, which
preserve the zeros of some fixed polynomials in noncommuting variables.
  Keywords: Matrix algebra, Multilinear polynomials, Preservers.


title:
Elementary Excitations of a Bose-Einstein Condensate in an Effective
  Magnetic Field

abstract:
  We calculate the low energy elementary excitations of a Bose-Einstein
Condensate in an effective magnetic field. The field is created by the
interplay between light beams carrying orbital angular momentum and the trapped
atoms. We examine the role of the homogeneous magnetic field, familiar from
studies of rotating condensates, and also investigate spectra for vector
potentials with a more general radial dependence. We discuss the instabilities
which arise and how these may be manifested.


title: Huge negative differential conductance in Au-H2 molecular nanojunctions

abstract:
  Experimental results showing huge negative differential conductance in
gold-hydrogen molecular nanojunctions are presented. The results are analyzed
in terms of two-level system (TLS) models: it is shown that a simple TLS model
cannot produce peaklike structures in the differential conductance curves,
whereas an asymmetrically coupled TLS model gives perfect fit to the data. Our
analysis implies that the excitation of a bound molecule to a large number of
energetically similar loosely bound states is responsible for the peaklike
structures. Recent experimental studies showing related features are discussed
within the framework of our model.


title:
Phase lapses in scattering through multi-electron quantum dots:
  Mean-field and few-particle regimes

abstract:
  We show that the observed evolution of the transmission phase through
multi-electron quantum dots with more than approximately ten electrons, which
shows a universal (i.e., independent of N) as yet unexplained behavior, is
consistent with an electrostatic model, where electron-electron interaction is
described by a mean-field approach. Moreover, we perform exact calculations for
an open 1D quantum dot and show that carrier correlations may give rise to a
non-universal (i.e., N-dependent) behavior of the transmission phase, ensuing
from Fano resonances, which is consistent with experiments with a few (N < 10)
carriers. Our results suggest that in the universal regime the coherent
transmission takes place through a single level while in the few-particle
regime the correlated scattering state is determined by the number of bound
particles.


title:
Quantum phase transitions in a resonant-level model with dissipation:
  Renormalization-group studies

abstract:
  We study a spinless level that hybridizes with a fermionic band and is also
coupled via its charge to a dissipative bosonic bath. We consider the general
case of a power-law hybridization function $\Gamma(\w)\propto |\w|^r$ with
$r\ge 0$, and a bosonic bath spectral function $B(\w)\propto \w^s$ with $s\ge
-1$. For $r<1$ and $\mathrm{max}(0,2r-1)<s<1$, this Bose-Fermi quantum impurity
model features a continuous zero-temperature transition between a delocalized
phase, with tunneling between the impurity level and the band, and a localized
phase, in which dissipation suppresses tunneling in the low-energy limit. The
phase diagram and the critical behavior of the model are elucidated using
perturbative and numerical renormalization-group techniques, between which
there is excellent agreement in the appropriate regimes. For $r=0$ this model's
critical properties coincide with those of the spin-boson and Ising Bose-Fermi
Kondo models, as expected from bosonization.


title:
On the relation between the proton-air cross section and fluctuations of
  the shower longitudinal profile

abstract:
  The current status and prospects of deducing the proton-air cross section
from fluorescence telescope measurements of extensive air showers are
discussed. As it is not possible to observe the point of first interaction, $X_
{\rm 1}$, directly, other observables closely linked to $X_{\rm 1}$ must be
inferred from the measured longitudinal profiles. This introduces a dependence
on the models used to describe the shower development. Systematic uncertainties
arising from this model dependence, from the reconstruction method itself and
from a possible non-proton contamination of the selected shower sample are
discussed.


title: Generalized rotating-wave approximation for arbitrarily large coupling

abstract:
  A generalized version of the rotating-wave approximation for the single-mode
spin-boson Hamiltonian is presented. It is shown that performing a simple
change of basis prior to eliminating the off-resonant terms results in a
significantly more accurate expression for the energy levels of the system. The
generalized approximation works for all values of the coupling strength and for
a wide range of detuning values, and may find applications in solid-state
experiments.


title:
Laplacian instability of planar streamer ionization fronts - an example
  of pulled front analysis

abstract:
  Streamer ionization fronts are pulled fronts propagating into a linearly
unstable state; the spatial decay of the initial condition of a planar front
selects dynamically one specific long time attractor out of a continuous
family. A transverse stability analysis has to take these features into
account. In this paper we introduce a framework for this transverse stability
analysis, involving stable and unstable manifolds in a weighted space. Within
this framework, a numerical dynamical systems method for the calculation of the
dispersion relation as an eigenvalue problem is defined and dispersion curves
for different values of the electron diffusion constant and of the electric
field ahead of the front are derived. Numerical solutions of the initial value
problem confirm the eigenvalue calculations. The numerical work is complemented
with analytical expressions for the dispersion relation in the limit of small
and large wave numbers and with a fit formula for intermediate wave numbers.
This empirical fit supports the conjecture that the smallest unstable wave
length of the Laplacian instability is proportional to the diffusion length
that characterizes the leading edge of the pulled ionization front.


title: Electron Correlation Driven Heavy-Fermion Formation in LiV2O4

abstract:
  Optical reflectivity measurements were performed on a single crystal of the
d-electron heavy-fermion (HF) metal LiV2O4. The results evidence the highly
incoherent character of the charge dynamics for all temperatures above T^*
\approx 20 K. The spectral weight of the optical conductivity is redistributed
over extremely broad energy scales (~ 5 eV) as the quantum coherence of the
charge carriers is recovered. This wide redistribution is, in sharp contrast to
f-electron Kondo lattice HF systems, characteristic of a metallic system close
to a correlation driven insulating state. Our results thus reveal that strong
electronic correlation effects dominate the low-energy charge dynamics and
heavy quasiparticle formation in LiV2O4. We propose the geometrical
frustration, which limits the extension of charge and spin ordering, as an
additional key ingredient of the low-temperature heavy-fermion formation in
this system.


title: The flavour projection of staggered fermions and the quarter-root trick

abstract:
  It is shown that the flavour projection of staggered fermions can be written
as a projection between the fields on four separate, but parallel, lattices,
where the fields on each are modified forms of the standard staggered fermion
field. Because the staggered Dirac operator acts equally on each lattice, it
respects this flavour projection. We show that the system can be gauged in the
usual fashion and that this does not interfere with flavour projection. We also
consider the path integral, showing that, prior to flavour projection, it
evaluates to the same form on each lattice and that this form is equal to that
used in the quarter-root trick. The flavour projection leaves a path integral
for a single flavour of field on each lattice.


title:
Pion freeze-out as seen through HBT correlations in heavy ion collisions
  from FAIR/AGS to RHIC energies

abstract:
  We perform a systematic analysis of several HBT parameters in heavy ion
collisions from $E_{\rm beam}=2$ AGeV to $\sqrt {s_{\rm NN}}=200$ GeV within
the UrQMD transport approach and compare the results to experimental data where
available. We find that the 'lifetime' of the emission source as calculated
from $\tau \sim \sqrt{R_O^{2}-R_S^{2}}$, is larger than the experimentally
observed values at all investigated energies. The calculated volume of the pion
source ($V_f$) is found to increase monotonously with increasing beam energy
and the experimentally observed decrease of the measured $V_f$ at AGS is not
seen. Finally, we calculate the mean free path $\lambda_f=0.5-1$ fm of pions at
freeze-out and find a good description of the experimental data above the AGS
energy region, supporting the suggestion of a universal kinetic decoupling
criterion up to the highest RHIC energies.


title:
The Monte Carlo and fractional kinetics approaches to the underground
  anomalous subdiffusion of contaminants

abstract:
  This paper deals with a comparison of Fractional Derivative and Monte carlo
approaches to the modelling of anomalous diffusion in the field of particle
transport. The goal of this research is to provide a better insight on the
behavior of (radioactive) contaminant tracers when flowing through
heterogeneous media.


title: Some Insights in Superdiffusive Transport

abstract:
  In this paper we deal with high-order corrections for the Fractional
Derivative approach to anomalous diffusion, in super-diffusive regime, which
become relevand whenever one attempts to describe the behavior of particles
close to normal diffusion.


title: Frustration, Area Law, and Interference in Quantum Spin Models

abstract:
  We study frustrated quantum systems from a quantum information perspective.
Within this approach, we find that highly frustrated systems do not follow any
general ''area law'' of block entanglement, while weakly frustrated ones have
area laws similar to those of nonfrustrated systems away from criticality. To
calculate the block entanglement in systems with degenerate ground states,
typical in frustrated systems, we define a ''cooling'' procedure of the ground
state manifold, and propose a frustration degree and a method to quantify
constructive and destructive interference effects of entanglement.


title:
Normal and Anomalous Transport across an Interface: Monte Carlo and
  Analytical Approach

abstract:
  In this paper we investigate the behavior of particles crossing a neat
interface between two media. A Monte Carlo and analytical model, based on
fractional derivatives, are presented and discussed in detail, together with a
comparison. Anomalous and normal diffusion are consdered.


title:
Measurement of the UHECR energy spectrum using data from the Surface
  Detector of the Pierre Auger Observatory

abstract:
  At the southern site of the Pierre Auger Observatory, which is close to
completion, an exposure that significantly exceeds the largest forerunner
experiments has already been accumulated. We report a measurement of the cosmic
ray energy spectrum based on the high statistics collected by the surface
detector. The methods developed to determine the spectrum from reconstructed
observables are described. The energy calibration of the observables, which
exploits the correlation of surface detector data with fluorescence
measurements in hybrid events, is presented in detail. The methods are simple
and robust, exploiting the combination of fluorescence detector (FD) and
surface detector (SD) and do not rely on detailed numerical simulation or any
assumption about the chemical composition. Besides presenting statistical
uncertainties, we address the impact of systematic uncertainties.


title: The Physics of 2 is not 1+1

abstract:
  One of the most surprising consequences of quantum mechanics is the
entanglement of two or more distant particles. In an entangled EPR two-particle
system, the value of the momentum (position) for neither single subsystem is
determined. However, if one of the subsystems is measured to have a certain
momentum (position), the other subsystem is determined to have a unique
corresponding value, despite the distance between them. This peculiar behavior
of an entangled quantum system has surprisingly been observed experimentally in
two-photon temporal and spatial correlation measurements, such as ghost
interference and ghost imaging. This article addresses the fundamental concerns
behind these experimental observations and to explore the nonclassical nature
of two-photon superposition by emphasizing the physics of 2 is not 1 + 1.


title:
Integrability of anisotropic and homogeneous Universes in scalar-tensor
  theory of gravitation

abstract:
  In this paper, we develop a method based on the analysis of the Kovalewski
exponents to study the integrability of anisotropic and homogeneous Universes.
The formalism is developed in scalar-tensor gravity, the general relativistic
case appearing as a special case of this larger framework. Then, depending on
the rationality of the Kovalewski exponents, the different models, both in the
vacuum and in presence of a barotropic matter fluid, are classified, and their
integrability is discussed.


title: Monte Carlo evaluation of FADE approach to anomalous kinetics

abstract:
  In this paper we propose a comparison between the CTRW (Monte Carlo) and
Fractional Derivative approaches to the modelling of anomalous diffusion
phenomena in the presence of an advection field. Galilei variant and invariant
schemes are revised.


title:
Molecular opacities for low-mass metal-poor AGB stars undergoing the
  Third Dredge Up

abstract:
  The concomitant overabundances of C, N and s-process elements are commonly
ascribed to the complex interplay of nucleosynthesis, mixing and mass loss
taking place in Asymptotic Giant Branch stars. At low metallicity, the
enhancement of C and/or N may be up to 1000 times larger than the original iron
content and significantly affects the stellar structure and its evolution. For
this reason, the interpretation of the already available and still growing
amount of data concerning C-rich metal-poor stars belonging to our Galaxy as
well as to dwarf spheroidal galaxies would require reliable AGB stellar models
for low and very low metallicities. In this paper we address the question of
calculation and use of appropriate opacity coefficients, which take into
account the C enhancement caused by the third dredge up. A possible N
enhancement, caused by the cool bottom process or by the engulfment of protons
into the convective zone generated by a thermal pulse and the subsequent huge
third dredge up, is also considered. Basing on up-to-date stellar models, we
illustrate the changes induced by the use of these opacity on the physical and
chemical properties expected for these stars.


title: Dark Matter Annihilation in Substructures Revised

abstract:
  Upcoming $\gamma$-ray satellites will search for Dark Matter annihilations in
Milky Way substructures (or 'clumps'). The prospects for detecting these
objects strongly depend on the assumptions made on the distribution of Dark
Matter in substructures, and on the distribution of substructures in the Milky
Way halo. By adopting simplified, yet rather extreme, prescriptions for these
quantities, we compute the number of sources that can be detected with upcoming
experiments such as GLAST, and show that, for the most optimistic particle
physics setup ($m_\chi=40$ GeV and annihilation cross section $\sigma v = 3
\times 10^{-26}$ cm$^3$ s$^{-1}$), the result ranges from zero to $\sim$
hundred sources, all with mass above $10^{5}M\odot$. However, for a fiducial DM
candidate with mass $m_\chi=100$ GeV and $\sigma v = 10^{-26}$ cm$^3$ s$^{-1}$,
at most a handful of large mass substructures can be detected at $5 \sigma$,
with a 1-year exposure time, by a GLAST-like experiment. Scenarios where
micro-clumps (i.e. clumps with mass as small as $10^{-6}M\odot$) can be
detected are severely constrained by the diffuse $\gamma$-ray background
detected by EGRET.


title:
The lower mass function of the young open cluster Blanco 1: from 30 Mjup
  to 3 Mo

abstract:
  We performed a deep wide field optical survey of the young (~100-150 Myr)
open cluster Blanco1 to study its low mass population well down into the brown
dwarf regime and estimate its mass function over the whole cluster mass
range.The survey covers 2.3 square degrees in the I and z-bands down to I ~ z ~
24 with the CFH12K camera. Considering two different cluster ages (100 and 150
Myr), we selected cluster member candidates on the basis of their location in
the (I,I-z) CMD relative to the isochrones, and estimated the contamination by
foreground late-type field dwarfs using statistical arguments, infrared
photometry and low-resolution optical spectroscopy. We find that our survey
should contain about 57% of the cluster members in the 0.03-0.6 Mo mass range,
including 30-40 brown dwarfs. The candidate's radial distribution presents
evidence that mass segregation has already occured in the cluster. We took it
into account to estimate the cluster mass function across the
stellar/substellar boundary. We find that, between 0.03Mo and 0.6Mo, the
cluster mass distribution does not depend much on its exact age, and is well
represented by a single power-law, with an index alpha=0.69 +/- 0.15. Over the
whole mass domain, from 0.03Mo to 3Mo, the mass function is better fitted by a
log-normal function with m0=0.36 +/- 0.07Mo and sigma=0.58 +/- 0.06. Comparison
between the Blanco1 mass function, other young open clusters' MF, and the
galactic disc MF suggests that the IMF, from the substellar domain to the
higher mass part, does not depend much on initial conditions. We discuss the
implications of this result on theories developed to date to explain the origin
of the mass distribution.


title: Aharonov-Bohm effect and broken valley-degeneracy in graphene rings

abstract:
  We analyze theoretically the electronic properties of Aharonov-Bohm rings
made of graphene. We show that the combined effect of the ring confinement and
applied magnetic flux offers a controllable way to lift the orbital degeneracy
originating from the two valleys, even in the absence of intervalley
scattering. The phenomenon has observable consequences on the persistent
current circulating around the closed graphene ring, as well as on the ring
conductance. We explicitly confirm this prediction analytically for a circular
ring with a smooth boundary modelled by a space-dependent mass term in the
Dirac equation. This model describes rings with zero or weak intervalley
scattering so that the valley isospin is a good quantum number. The tunable
breaking of the valley degeneracy by the flux allows for the controlled
manipulation of valley isospins. We compare our analytical model to another
type of ring with strong intervalley scattering. For the latter case, we study
a ring of hexagonal form with lattice-terminated zigzag edges numerically. We
find for the hexagonal ring that the orbital degeneracy can still be controlled
via the flux, similar to the ring with the mass confinement.


title: Homogenization of nonlinear scalar conservation laws

abstract:
  We study the limit as $\e\to 0$ of the entropy solutions of the equation
$\p_t \ue + \dv_x[A(\frac{x}{\e},\ue)] =0$. We prove that the sequence $\ue$
two-scale converges towards a function $u(t,x,y)$, and $u$ is the unique
solution of a limit evolution problem. The remarkable point is that the limit
problem is not a scalar conservation law, but rather a kinetic equation in
which the macroscopic and microscopic variables are mixed. We also prove a
strong convergence result in $L^1_{\text{loc}}$.


title:
Equilibrium of stellar dynamical systems in the context of the
  Vlasov-Poisson model

abstract:
  This short review is devoted to the problem of the equilibrium of stellar
dynamical systems in the context of the Vlasov-Poisson model. In a first part
we will review some classical problems posed by the application of the
Vlasov-Poisson model to the astrophysical systems like globular clusters or
galaxies. In a second part we will recall some recent numerical results which
may give us some some quantitative hints about the equilibrium state associated
to those systems.


title:
The size of the largest component below phase transition in
  inhomogeneous random graphs

abstract:
  We study the "rank 1 case" of the inhomogeneous random graph model. In the
subcritical case we derive an exact formula for the asymptotic size of the
largest connected component scaled to log n. This result is new, it completes
the corresponding known result in the supercritical case. We provide some
examples of application of a new formula.


title: Constrained Ramsey Numbers

abstract:
  For two graphs S and T, the constrained Ramsey number f(S, T) is the minimum
n such that every edge coloring of the complete graph on n vertices, with any
number of colors, has a monochromatic subgraph isomorphic to S or a rainbow
(all edges differently colored) subgraph isomorphic to T. The Erdos-Rado
Canonical Ramsey Theorem implies that f(S, T) exists if and only if S is a star
or T is acyclic, and much work has been done to determine the rate of growth of
f(S, T) for various types of parameters. When S and T are both trees having s
and t edges respectively, Jamison, Jiang, and Ling showed that f(S, T) <=
O(st^2) and conjectured that it is always at most O(st). They also mentioned
that one of the most interesting open special cases is when T is a path. In
this work, we study this case and show that f(S, P_t) = O(st log t), which
differs only by a logarithmic factor from the conjecture. This substantially
improves the previous bounds for most values of s and t.


title: Unified description of Bjorken and Landau 1+1 hydrodynamics

abstract:
  We propose a generalization of the Bjorken in-out Ansatz for fluid
trajectories which, when applied to the (1+1) hydrodynamic equations, generates
a one-parameter family of analytic solutions interpolating between the
boost-invariant Bjorken picture and the non boost-invariant one by Landau. This
parameter characterises the proper-time scale when the fluid velocities
approach the in-out Ansatz. We discuss the resulting rapidity distribution of
entropy for various freeze-out conditions and compare it with the original
Bjorken and Landau results.


title: Bremsstrahlung in alpha-Decay Reexamined

abstract:
  A high-statistics measurement of bremsstrahlung emitted in the alpha decay of
210Po has been performed, which allows to follow the photon spectra up to
energies of ~ 500 keV. The measured differential emission probability is in
good agreement with our theoretical results obtained within the quasi classical
approximation as well as with the exact quantum mechanical calculation. It is
shown that due to the small effective electric dipole charge of the radiating
system a significant interference between the electric dipole and quadrupole
contributions occurs, which is altering substantially the angular correlation
between the alpha particle and the emitted photon.


title: On the strong chromatic number of random graphs

abstract:
  Let G be a graph with n vertices, and let k be an integer dividing n. G is
said to be strongly k-colorable if for every partition of V(G) into disjoint
sets V_1 \cup ... \cup V_r, all of size exactly k, there exists a proper vertex
k-coloring of G with each color appearing exactly once in each V_i. In the case
when k does not divide n, G is defined to be strongly k-colorable if the graph
obtained by adding k \lceil n/k \rceil - n isolated vertices is strongly
k-colorable. The strong chromatic number of G is the minimum k for which G is
strongly k-colorable. In this paper, we study the behavior of this parameter
for the random graph G(n, p). In the dense case when p >> n^{-1/3}, we prove
that the strong chromatic number is a.s. concentrated on one value \Delta+1,
where \Delta is the maximum degree of the graph. We also obtain several weaker
results for sparse random graphs.


title:
Influence of dissipation on the extraction of quantum states via
  repeated measurements

abstract:
  A quantum system put in interaction with another one that is repeatedly
measured is subject to a non-unitary dynamics, through which it is possible to
extract subspaces. This key idea has been exploited to propose schemes aimed at
the generation of pure quantum states (purification). All such schemes have so
far been considered in the ideal situations of isolated systems. In this paper,
we analyze the influence of non-negligible interactions with environment during
the extraction process, with the scope of investigating the possibility of
purifying the state of a system in spite of the sources of dissipation. A
general framework is presented and a paradigmatic example consisting of two
interacting spins immersed in a bosonic bath is studied. The effectiveness of
the purification scheme is discussed in terms of purity for different values of
the relevant parameters and in connection with the bath temperature.


title:
Kloosterman sums, elliptic curves, and irreducible polynomials with
  prescribed trace and norm

abstract:
  Let $\F_q$ ($q=p^r$) be a finite field. In this paper the number of
irreducible polynomials of degree $m$ in $\F_q[x]$ with prescribed trace and
norm coefficients is calculated in certain special cases and a general bound
for that number is obtained improving the bound by Wan if $m$ is small compared
to $q$. As a corollary, sharp bounds are obtained for the number of elements in
$\F_{q^3}$ with prescribed trace and norm over $\F_q$ improving the estimates
by Katz in this special case. Moreover, a characterization of Kloosterman sums
over $\F_{2^r}$ divisible by three is given generalizing the earlier result by
Charpin, Helleseth, and Zinoviev obtained only in the case $r$ odd. Finally, a
new simple proof for the value distribution of a Kloosterman sum over the field
$\F_{3^r}$, first proved by Katz and Livne, is given.


title: A family of acyclic functors

abstract:
  We determine a family of functors from a poset to abelian groups such that
the higher direct limits vanish on them. This is done by first characterizing
the projective functors. Then a spectral sequence arising from the grading of
the poset is used. Also the dual version for injective functors and higher
inverse limits is included. Graded posets include simplicial complexes,
subdivision categories and simplex-like posets.


title: Rigid Limit in N=2 Supergravity and Weak-Gravity Conjecture

abstract:
  We analyze the coupled N=2 supergravity and Yang-Mills system using
holomorphy, near the rigid limit where the former decouples from the latter. We
find that there appears generically a new mass scale around g M_{pl} where g is
the gauge coupling constant and M_{pl} is the Planck scale. This is in accord
with the weak-gravity conjecture proposed recently. We also study the scale
dependence of the gauge theory prepotential from its embedding into
supergravity.


title:
RNA polymerase motors on DNA track: effects of traffic congestion on RNA
  synthesis

abstract:
  RNA polymerase (RNAP) is an enzyme that synthesizes a messenger RNA (mRNA)
strand which is complementary to a single-stranded DNA template. From the
perspective of physicists, an RNAP is a molecular motor that utilizes chemical
energy input to move along the track formed by a ssDNA. In some circumstances,
which are described in this paper, a large number of RNAPs move simultaneously
along the same track. We refer to such collective movements of the RNAPs as
RNAP traffic because of the similarities between the collective dynamics of the
RNAPs on ssDNA track and that of vehicles in highway traffic. In this paper we
develop a theoretical model for RNAP traffic by incorporating the steric
interactions between RNAPs as well as the mechano-chemical cycle of individual
RNAPs during the elongation of the mRNA. By a combination of analytical and
numerical techniques, we calculate the rates of mRNA synthesis and the average
density profile of the RNAPs on the ssDNA track. We also suggest novel
experiments for testing our theoretical predictions.


title: Linear precision for parametric patches

abstract:
  We give a precise mathematical formulation for the notions of a parametric
patch and linear precision, and establish their elementary properties. We
relate linear precision to the geometry of a particular linear projection,
giving necessary (and quite restrictive) conditions for a patch to possess
linear precision. A main focus is on linear precision for Krasauskas' toric
patches, which we show is equivalent to a certain rational map on CP^d being a
birational isomorphism. Lastly, we establish the connection between linear
presision for toric surface patches and maximum likelihood degree for discrete
exponential families in algebraic statistics, and show how iterative
proportional fitting may be used to compute toric patches.


title:
Novel Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single
  Transverse-Spin Asymmetry

abstract:
  We prove that twist-3 soft-gluon-pole (SGP) cross section for single spin
asymmetries is determined by a certain ``primordial'' twist-2 cross section up
to kinematic and color factors in the leading order perturbative QCD. This
unveils universal structure behind the SGP cross sections in a variety of hard
processes, and also the special role of the scale invariance in the
corresponding primordial cross section, which leads to remarkable
simplification of the SGP cross sections for the production of massless
particle, such as those for pion production p^\uparrow p \to \pi X and
direct-photon production p^\uparrow p \to \gamma X.


title: A method for integral cohomology of posets

abstract:
  We present a method to compute integral cohomology of posets. This toolbox is
applicable as soon as the sub-posets under each object possess certain
structure. This is the case for simplicial complexes and simplex-like posets.
The method is based on homological algebra arguments in the category of
functors and on a spectral sequence built upon the poset. We show its relation
to discrete Morse theory. As application we give an alternative proof of Webb's
conjecture for saturated fusion systems and we compute the cohomology of
Coxeter complexes for finite and infinite Coxeter groups.


title:
Structural properties and optical response of Na clusters in Ne, Ar, and
  Kr matrices

abstract:
  We discuss the structural properties and optical response of a small Na
cluster inside rare gas (RG) matrices of Ne, Ar, or Kr atoms. The mixed systems
are described with a hierarchical model, treating the cluster at a quantum
mechanical level and the matrix atoms classically in terms of their positions
and polarizations. We pay special attention to the differences caused by the
different matrix types. These differences can be explained by the interplay of
core repulsion and dipole attraction in the interaction between the cluster
electrons and the RG atoms.


title:
IRAS08281-4850 and IRAS14325-6428: two A-type post-AGB stars with
  s-process enrichment

abstract:
  One of the puzzling findings in the study of the chemical evolution of
(post-)AGB stars is why very similar stars (in terms of metallicity, spectral
type, infrared properties, etc...) show a very different photospheric
composition. We aim at extending the still limited sample of s-process enriched
post-AGB stars, in order to obtain a statistically large enough sample that
allows us to formulate conclusions concerning the 3rd dredge-up occurrence. We
selected two post-AGB stars on the basis of IR colours indicative of a past
history of heavy mass loss: IRAS08281-4850 and IRAS14325-6428. They are cool
sources in the locus of the Planetary Nebulae (PNe) in the IRAS colour-colour
diagram. Abundances of both objects were derived for the first time on the
basis of high-quality UVES and EMMI spectra, using a critically compiled line
list with accurate log(gf) values, together with the latest Kurucz model
atmospheres. Both objects have very similar spectroscopically defined effective
temperatures of 7750-8000K. They are strongly carbon and s-process enriched,
with a C/O ratio of 1.9 and 1.6, and an [ls/Fe] of +1.7 and +1.2, for IRAS08281
and IRAS14325 resp. Moreover, the spectral energy distributions (SEDs) point to
heavy mass-loss during the preceding AGB phase. IRAS08281 and IRAS14325 are
prototypical post-AGB objects in the sense that they show strong post 3rd
dredge-up chemical enrichments. The neutron irradiation has been extremely
efficient, despite the only mild sub-solar metallicity. This is not conform
with the recent chemical models. The existence of very similar post-AGB stars
without any enrichment emphasizes our poor knowledge of the details of the AGB
nucleosynthesis and dredge-up phenomena. We call for a very systematic chemical
study of all cool sources in the PN region of the IRAS colour-colour diagram.


title:
Diagonalization and representation results for nonpositive sesquilinear
  form measures

abstract:
  We study decompositions of operator measures and more general sesquilinear
form measures $E$ into linear combinations of positive parts, and their
diagonal vector expansions. The underlying philosophy is to represent $E$ as a
trace class valued measure of bounded variation on a new Hilbert space related
to $E$. The choice of the auxiliary Hilbert space fixes a unique decomposition
with certain properties, but this choice itself is not canonical. We present
relations to Naimark type dilations and direct integrals.


title:
Eddy current damping of a moving domain wall: beyond the quasistatic
  approximation

abstract:
  In conducting ferromagnetic materials, a moving domain wall induces eddy
currents in the sample which give rise to an effective retarding pressure on
the domain wall. We show here that the pressure is not just proportional to the
instantaneous velocity of the wall, as often assumed in domain wall models, but
depends on the history of the motion. We calculate the retarding pressure by
solving the Maxwell equations for the field generated by the eddy currents, and
show how its effect can be accounted for by associating a negative effective
mass to the magnetic wall. We analyze the dependence of this effect on the
sample geometry and discuss the implications for Barkhausen noise measurements.


title: Extending the abilities of the Minkowski spacetime diagram

abstract:
  A two-dimensional Minkowski spacetime diagram is neatly represented on a
Euclidean ordinary plane. However the Euclidean lengths of the lines on the
diagram do not correspond to the true values of physical quantities in
spacetime, except for those referring to the stationary reference frame. In
order to extend its abilities to other inertial reference frames, we derive a
factor which, multiplied by the magnitude of the actually displayed values (on
the diagram), leads to the corresponding true measured values by any other
inertial observers. Doing so, the student can infer from the Euclidean diagram
plot the expressions that account for Lorentz length contraction, time dilation
and also Lorentz Transformations just by using regular trigonometry.


title: Independent transversals in locally sparse graphs

abstract:
  Let G be a graph with maximum degree \Delta whose vertex set is partitioned
into parts V(G) = V_1 \cup ... \cup V_r. A transversal is a subset of V(G)
containing exactly one vertex from each part V_i. If it is also an independent
set, then we call it an independent transversal. The local degree of G is the
maximum number of neighbors of a vertex v in a part V_i, taken over all choices
of V_i and v \not \in V_i. We prove that for every fixed \epsilon > 0, if all
part sizes |V_i| >= (1+\epsilon)\Delta and the local degree of G is o(\Delta),
then G has an independent transversal for sufficiently large \Delta. This
extends several previous results and settles (in a stronger form) a conjecture
of Aharoni and Holzman. We then generalize this result to transversals that
induce no cliques of size s. (Note that independent transversals correspond to
s=2.) In that context, we prove that parts of size |V_i| >=
(1+\epsilon)[\Delta/(s-1)] and local degree o(\Delta) guarantee the existence
of such a transversal, and we provide a construction that shows this is
asymptotically tight.


title: Quantized vortices in $^{\bf 4}$He droplets: a quantum Monte Carlo study

abstract:
  We present a diffusion Monte Carlo study of a vortex line excitation attached
to the center of a $^4$He droplet at zero temperature. The vortex energy is
estimated for droplets of increasing number of atoms, from N=70 up to 300
showing a monotonous increase with $N$. The evolution of the core radius and
its associated energy, the core energy, is also studied as a function of $N$.
The core radius is $\sim 1$ \AA in the center and increases when approaching
the droplet surface; the core energy per unit volume stabilizes at a value 2.8
K$\sigma^{-3}$ ($\sigma=2.556$ \AA) for $N \ge 200$.


title: Attenuation Regulation as a Term Rewriting System

abstract:
  The classical attenuation regulation of gene expression in bacteria is
considered. We propose to represent the secondary RNA structure in the leader
region of a gene or an operon by a term, and we give a probabilistic term
rewriting system modeling the whole process of such a regulation.


title: Enhanced decoherence in the vicinity of a phase transition

abstract:
  We study the decoherence of a spin-1/2 induced by an environment which is on
the verge of a continuous phase transition. We consider spin environments
described by the ferromagnetic and antiferromagnetic Heisenberg models on a
square lattice. As is well known, these two dimensional systems undergo a
continuous phase transition at zero temperature, where, the spins order
spontaneously. For weak coupling of the central spin to these baths, we find
that as one approaches the transition temperature, critical fluctuations make
the central spin decohere faster. Furthermore, the decoherence is maximal at
zero temperature as signalled by the divergence of the Markovian decoherence
rate.


title: Stability and Formation of the Resonant System HD 73526

abstract:
  Based on radial velocity measurements it has been found recently that the two
giant planets detected around the star HD 73526 are in 2:1 resonance. However,
as our numerical integration shows, the derived orbital data for this system
result in chaotic behavior of the giant planets, which is uncommon among the
resonant extrasolar planetary systems.
  We intend to present regular (non-chaotic) orbital solutions for the giant
planets in the system HD 73526 and offer formation scenarios based on combining
planetary migration and sudden perturbative effects such as planet-planet
scattering or rapid dispersal of the protoplanetary disk. A comparison with the
already studied resonant system HD 128311, exhibiting similar behavior, is also
done.
  The new sets of orbital solutions have been derived by the Systemic Console
(www.oklo.org). The stability of these solutions has been investigated by the
Relative Lyapunov indicator, while the migration and scattering effects are
studied by gravitational N-body simulations applying non-conservative forces as
well. Additionally, hydrodynamic simulations of embedded planets in
protoplanetary disks are performed to follow the capture into resonance.
  For the system HD 73526 we demonstrate that the observational radial velocity
data are consistent with a coplanar planetary system engaged in a stable 2:1
resonance exhibiting apsidal corotation. We have shown that, similarly to the
system HD 128311, the present dynamical state of HD 73526 could be the result
of a mixed evolutionary process melting together planetary migration and a
perturbative event.


title: Two-twistor Description of Membrane

abstract:
  We describe D=4 twistorial membrane in terms of two twistorial
three-dimensional world volume fields. We start with the D-dimensional p-brane
generalizations of two phase space string formulations: the one with $p+1$
vectorial fourmomenta, and the second with tensorial momenta of $(p+1)$-th
rank. Further we consider tensionful membrane case in D=4. By using the
membrane generalization of Cartan-Penrose formula we express the fourmomenta by
spinorial fields and obtain the intermediate spinor-space-time formulation.
Further by expressing the worldvolume dreibein and the membrane space-time
coordinate fields in terms of two twistor fields one obtains the purely
twistorial formulation. It appears that the action is generated by a geometric
three-form on two-twistor space. Finally we comment on higher-dimensional (D>4)
twistorial p-brane models and their superextensions.


title: Progress on neural parton distributions

abstract:
  We give a status report on the determination of a set of parton distributions
based on neural networks. In particular, we summarize the determination of the
nonsinglet quark distribution up to NNLO, we compare it with results obtained
using other approaches, and we discuss its use for a determination of
$\alpha_s$.


title: Parton Distributions for LO Calculations

abstract:
  We present a study of the results obtained combining LO partonic matrix
elements with different orders of partons distributions. These are compared to
the best prediction using NLO for both matrix elements and parton
distributions. The aim is to determine which parton distributions are most
appropriate to use in those cases where only LO matrix elements are available,
e.g. as in many Monte Carlo generators. Both LO and NLO parton distributions
have faults so a modified optimal LO set is suggested.


title: Neutrino Masses and Mixings from String Theory Instantons

abstract:
  We study possible patterns of neutrino masses and mixings in string models in
which Majorana neutrino masses are generated by a certain class of string
theory instantons recently considered in the literature. These instantons may
generate either directly the dim=5 Weinberg operator or right-handed neutrino
Majorana masses, both with a certain flavour-factorised form. A hierarchy of
neutrino masses naturally appears from the exponentially suppressed
contributions of different instantons. The flavour structure is controlled by
string amplitudes involving neutrino fields and charged instanton zero modes.
For some simple choices for these amplitudes one finds neutrino mixing patterns
consistent with experimental results. In particular, we find that a
tri-bimaximal mixing pattern is obtained for simple symmetric values of the
string correlators.


title: Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices

abstract:
  Boson-fermion pairing is considered in a discrete environment of bosons and
fully spin-polarized fermions, coupled via an attractive Bose-Fermi Hubbard
Hamiltonian in one dimension. The results of the T-matrix approximation for
particles of equal mass and at double half filling are compared with the
results of exact diagonalization and with Quantum Monte Carlo results.
Satisfactory agreement for most quantities is found. The appearance of a
stable, weak-coupling pairing mode is also confirmed.


title:
Rotational stacking and its electronic effects on graphene films grown
  on 4H-SiC$(000\bar{1})$

abstract:
  We examine the stacking order of multilayer graphene grown on the
SiC$(000\bar{1})$ surface using low-energy electron diffraction and surface
X-ray diffraction. We show that the films contain a high density of rotational
stacking faults caused by three types of rotated graphene: sheets rotated
$30^\circ$ and $\pm 2.20^\circ$ relative to the SiC substrate. These angles are
unique because they correspond to commensurate phases of layered graphene, both
with itself and with the SiC substrate. {\it Ab intio} calculations show that
these rotational phases electronically decouple adjacent graphene layers. The
band structure from graphene at fault boundaries displays linear energy
dispersion at the $K$-point (Dirac cones), nearly identical to that of a single
graphene sheet.


title: Universality of the REM for dynamics of mean-field spin glasses

abstract:
  We consider a version of a Glauber dynamics for a p-spin
Sherrington--Kirkpatrick model of a spin glass that can be seen as a time
change of simple random walk on the N-dimensional hypercube. We show that, for
any p>2 and any inverse temperature \beta>0, there exist constants g>0, such
that for all exponential time scales, $\exp(\gamma N)$, with $\gamma< g$, the
properly rescaled clock process (time-change process), converges to an
\alpha-stable subordinator where \alpha=\gamma/\beta^2<1. Moreover, the
dynamics exhibits aging at these time scales with time-time correlation
function converging to the arcsine law of this \alpha-stable subordinator. In
other words, up to rescaling, on these time scales (that are shorter than the
equilibration time of the system), the dynamics of p-spin models ages in the
same way as the REM, and by extension Bouchaud's REM-like trap model,
confirming the latter as a universal aging mechanism for a wide range of
systems. The SK model (the case p=2) seems to belong to a different
universality class.


title:
Factorization analysis for the fragmentation functions of hadrons
  containing a heavy quark

abstract:
  Using methods of effective field theory, a systematic analysis of the
fragmentation functions D_{a/H}(x,m_Q) of a hadron H containing a heavy quark Q
is performed (with a=Q,Q_bar,q,q_bar,g). By integrating out pair production of
virtual and real heavy quarks, the fragmentation functions are matched onto a
single nonperturbative function describing the fragmentation of the heavy quark
Q into the hadron H in "partially quenched" QCD. All calculable, short-distance
dependence on x is extracted in this step. For x->1, the remaining
fragmentation function can be matched further onto a universal function defined
in heavy-quark effective theory in order to factor off its residual dependence
on the heavy-quark mass. By solving the evolution equation in the effective
theory analytically, large logarithms of the ratio mu/m_Q are resummed to all
orders in perturbation theory. Connections with existing approaches to
heavy-quark fragmentation are discussed. In particular, it is shown that
previous attempts to extract log^n(1-x) terms from the fragmentation function
D_{Q/H}(x,m_Q) are incompatible with a proper separation of short- and
long-distance effects.


title: The broadband spectrum of Cygnus X-1

abstract:
  The Black Hole (BH) binary Cygnus X-1 has been observed simultaneously by
INTEGRAL, RXTE, and XMM-Newton for four times in November and December 2004,
when Cyg X-1 became first observable with XMM-Newton. During these observations
the source was found in one of its transitional states between the hard state
and the soft state. We obtained a high signal to noise spectrum of Cyg X-1 from
3 keV to 1 MeV which allows us to put constraints on the nature of the
Comptonizing plasma by modeling the continuum with Comptonization models as
eqpair (Coppi 1992). Using XMM-Newton we were also able to confirm the presence
of a relativistically broadened Fe K-alpha line.


title: Magnetic patterning of (Ga,Mn)As by hydrogen passivation

abstract:
  We present an original method to magnetically pattern thin layers of
(Ga,Mn)As. It relies on local hydrogen passivation to significantly lower the
hole density, and thereby locally suppress the carrier-mediated ferromagnetic
phase. The sample surface is thus maintained continuous, and the minimal
structure size is of about 200 nm. In micron-sized ferromagnetic dots
fabricated by hydrogen passivation on perpendicularly magnetized layers, the
switching fields can be maintained closer to the continuous film coercivity,
compared to dots made by usual dry etch techniques.


title:
Spectral type dependent rotational braking and strong magnetic flux in
  three components of the late-M multiple system LHS 1070

abstract:
  We show individual high resolution spectra of components A, B, and C of the
nearby late-M type multiple system LHS 1070. Component A is a mid-M star, B and
C are known to have masses at the threshold to brown dwarfs. From our spectra
we measure rotation velocities and the mean magnetic field for all three
components individually. We find magnetic flux on the order of several
kilo-Gauss in all components. The rotation velocities of the two late-M objects
B and C are similar (vsini = 16km/s), the earlier A component is spinning only
at about half that rate. This suggests weakening of net rotational braking at
late-M spectral type, and that the lack of slowly rotating late-M and L dwarfs
is real. Furthermore, we found that magnetic flux in the B component is about
twice as strong as in component C at similar rotation rate. This indicates that
rotational braking is not proportional to magnetic field strength in fully
convective objects, and that a different field topology is the reason for the
weak braking in low mass objects.


title: Multifractality in stock indexes: Fact or fiction?

abstract:
  Multifractal analysis and extensive statistical tests are performed upon
intraday minutely data within individual trading days for four stock market
indexes (including HSI, SZSC, S&P500, and NASDAQ) to check whether the indexes
(instead of the returns) possess multifractality. We find that the mass
exponent $\tau(q)$ is linear and the singularity $\alpha(q)$ is close to 1 for
all trading days and all indexes. Furthermore, we find strong evidence showing
that the scaling behaviors of the original data sets cannot be distinguished
from those of the shuffled time series. Hence, the so-called multifractality in
the intraday stock market indexes is merely an illusion.


title:
Large deviations and Chernoff bound for certain correlated states on a
  spin chain

abstract:
  In this paper we extend the results of Lenci and Rey-Bellet on the large
deviation upper bound of the distribution measures of local Hamiltonians with
respect to a Gibbs state, in the setting of translation-invariant finite-range
interactions. We show that a certain factorization property of the reference
state is sufficient for a large deviation upper bound to hold and that this
factorization property is satisfied by Gibbs states of the above kind as well
as finitely correlated states. As an application of the methods the Chernoff
bound for correlated states with factorization property is studied. In the
specific case of the distributions of the ergodic averages of a one-site
observable with respect to an ergodic finitely correlated state the spectral
theory of positive maps is applied to prove the full large deviation principle.


title: Path Integral for Quantum Operations

abstract:
  In this paper we consider a phase space path integral for general
time-dependent quantum operations, not necessarily unitary. We obtain the path
integral for a completely positive quantum operation satisfied Lindblad
equation (quantum Markovian master equation). We consider the path integral for
quantum operation with a simple infinitesimal generator.


title: Single electron-spin memory with a semiconductor quantum dot

abstract:
  We show storage of the circular polarisation of an optical field,
transferring it to the spin-state of an individual electron confined in a
single semiconductor quantum dot. The state is subsequently readout through the
electronically-triggered emission of a single photon. The emitted photon shares
the same polarisation as the initial pulse but has a different energy, making
the transfer of quantum information between different physical systems
possible. With an applied magnetic field of 2 Tesla, spin memory is preserved
for at least 1000 times more than the exciton's radiative lifetime.


title:
The role of the cotangent bundle in resolving ideals of fat points in
  the plane

abstract:
  We study the connection between the generation of a fat point scheme
supported at general points in the plane and the behaviour of the cotangent
bundle with respect to some rational curves particularly relevant for the
scheme. We put forward two conjectures, giving examples and partial results in
support of them.


title: Prompt muons in extended air showers

abstract:
  We present results of simulations of a muon content in the air showers
induced by very high energy cosmic rays. Muon energy distributions and muon
densities at ground level are given. We discuss a prompt muon component
generated by decays of charm mesons. The method combines standard Monte Carlo
generators incorporated in the CORSIKA code and phenomenological estimates of
the charm hadroproduction.


title:
Efficient Multidimensional Data Redistribution for Resizable Parallel
  Computations

abstract:
  Traditional parallel schedulers running on cluster supercomputers support
only static scheduling, where the number of processors allocated to an
application remains fixed throughout the execution of the job. This results in
under-utilization of idle system resources thereby decreasing overall system
throughput. In our research, we have developed a prototype framework called
ReSHAPE, which supports dynamic resizing of parallel MPI applications executing
on distributed memory platforms. The resizing library in ReSHAPE includes
support for releasing and acquiring processors and efficiently redistributing
application state to a new set of processors. In this paper, we derive an
algorithm for redistributing two-dimensional block-cyclic arrays from $P$ to
$Q$ processors, organized as 2-D processor grids. The algorithm ensures a
contention-free communication schedule for data redistribution if $P_r \leq
Q_r$ and $P_c \leq Q_c$. In other cases, the algorithm implements circular row
and column shifts on the communication schedule to minimize node contention.


title: Replica Condensation and Tree Decay

abstract:
  We give an intuitive method--using local, cyclic replica symmetry--to isolate
exponential tree decay in truncated (connected) correlations. We give an
expansion and use the symmetry to show that all terms vanish, except those
displaying {\em replica condensation}. The condensation property ensures
exponential tree decay.
  We illustrate our method in a low-temperature Ising system, but expect that
one can use a similar method in other random field and quantum field problems.
While considering the illustration, we prove an elementary upper bound on the
entropy of random lattice surfaces.