title:
Projective superspace and hyperkahler sigma models on cotangent bundles
  of Hermitian symmetric spaces

abstract:
  We review the projective-superspace construction of four-dimensional N=2
supersymmetric sigma models on (co)tangent bundles of the classical Hermitian
symmetric spaces.


title: Fermi-point scenario for emergent gravity

abstract:
  Let us assume that gravity is an emergent low-energy phenomenon arising from
a topologically stable defect in momentum space -- the Fermi point. What are
the consequences? We discuss the natural values of fermion masses and
cosmological constant; flatness of the Universe; bounds on Lorentz violation;
etc.


title:
Light-induced disassembly of dusty bodies in inner protoplanetary discs:
  implications for the formation of planets

abstract:
  Laboratory experiments show that a solid-state greenhouse effect in
combination with thermophoresis can efficiently erode a dust bed in a
low-pressure gaseous environment. The surface of an illuminated, light
absorbing dusty body is cooler than the dust below the surface (solidstate
greenhouse effect). This temperature gradient leads to a directed momentum
transfer between gas and dust particles and the dust particles are subject to a
force towards the surface(thermophoresis). If the thermophoretic force is
stronger than gravity and cohesion, dust particles are ejected. Applied to
protoplanetary discs, dusty bodies smaller than several kilometres in size
which are closer to a star than about 0.4 au are subject to a rapid and
complete disassembly to submillimetre size dust aggregates by this process.
While an inward-drifting dusty body is destroyed, the generated dust is not
lost for the disc by sublimation or subsequent accretion on to the star but can
be reprocessed by photophoresis or radiation pressure. Planetesimals cannot
originate through aggregation of dust inside the erosion zone. If objects
larger than several kilometres already exist, they prevail and further grow by
collecting dust from disassembled smaller bodies. The pile-up of solids in a
confined inner region of the disc, in general, boosts the formation of planets.
Erosion is possible in even strongly gas-depleted inner regions as observed for
TW Hya. Reprocessing of dust through light-induced erosion offers one possible
explanation for growth of large cores of gas-poor giant planets in a
gas-starved region as recently found around HD 149026b.


title: Algebraic structures on parallel M2-branes

abstract:
  In the course of closing supersymmetry on parallel M2 branes up to a gauge
transformation, following the suggestion in hep-th/0611108 of incorporating a
gauge field which only has topological degrees of freedom, we are led to assume
a certain algebraic structure for the low energy theory supposedly living on
parallel M2 branes.


title: L^2-spectral invariants and convergent sequences of finite graphs

abstract:
  Using the spectral theory of weakly convergent sequences of finite graphs, we
prove the uniform existence of the integrated density of states for a large
class of infinite graphs.


title: An O(2,n) formulation of invariant theory for elliptic Weyl group

abstract:
  In this paper, we give a new formulation of invariant theory for elliptic
Weyl group using the group O(2,n). As an elliptic Weyl group quotient, we
define a suitable $\C^*$-bundle. We show that it has a conformal Frobenius
structure which we define in this paper. Then its good section could be
identified with a Frobenius manifold which we constructed in
arXiv:math/0611553.


title: Enumerating the Nash equilibria of rank 1-games

abstract:
  A bimatrix game $(A,B)$ is called a game of rank $k$ if the rank of the
matrix $A+B$ is at most $k$. We consider the problem of enumerating the Nash
equilibria in (non-degenerate) games of rank 1. In particular, we show that
even for games of rank 1 not all equilibria can be reached by a Lemke-Howson
path and present a parametric simplex-type algorithm for enumerating all Nash
equilibria of a non-degenerate game of rank 1.


title: Discrete Monodromy, Pentagrams, and the Method of Condensation

abstract:
  This paper considers a simple geometric construction, called the Pentagram
map. The pentagram map, performed on N-gons, gives rise to a birational mapping
on the space of all N-gons. This paper finds what conjecturally are all the
invariants for this map, and along the way relates the construction to the
monodromy of 3rd order differential equations, and also to Dodgson's method of
condensation for computing determinants.


title: NMR Study of Large Skyrmions in Al_{0.13}Ga_{0.87}As Quantum Wells

abstract:
  A nuclear magnetic resonance (NMR) study is reported of multiple (30)
Al$_{0.13}$Ga$_{0.87}$As quantum well (QW) sample near the Landau level filling
factor $\nu =1$. In these Al$_{0.13}$Ga$_{0.87}$As QWs the effective $g$ factor
is nearly zero. This can lead to two effects: vanishing electronic polarization
$(P)$ and skyrmionic excitations composed of a huge number of spins. As small
$P$ values cause an overlap of the NMR signals from the QW and barriers, a
special technique was employed to allow these two signals to be distinguished.
The QW signal corresponds to a small, negative, and very broad distribution of
spin polarization that exhibits thermally induced depolarization. Such a
distribution can be attributed to sample inhomogeneities and/or to large
skyrmions, the latter possibility being favored by observation of a very fast
$T_{2}^{-1}$ rate.


title: The LU-LC conjecture is false

abstract:
  The LU-LC conjecture is an important open problem concerning the structure of
entanglement of states described in the stabilizer formalism. It states that
two local unitary equivalent stabilizer states are also local Clifford
equivalent. If this conjecture were true, the local equivalence of stabilizer
states would be extremely easy to characterize. Unfortunately, however, based
on the recent progress made by Gross and Van den Nest, we find that the
conjecture is false.


title:
A Survey of Local Group Galaxies Currently Forming Stars: III. A Search
  for Luminous Blue Variables and Other H-alpha Emission-Lined Stars

abstract:
  We describe a search for H-alpha emission-lined stars in M31, M33, and seven
dwarfs in or near the Local Group (IC 10, NGC 6822, WLM, Sextans B, Sextans A,
Pegasus and the Phoenix dwarf) using interference filter imaging with the KPNO
and CTIO 4-m telescope and Mosaic cameras. The survey is aimed primarily at
identifying new Luminous Blue Variables (LBVs) from their spectroscopic
similarity to known LBVs, avoiding the bias towards photometric variability,
which may require centuries to manifest itself if LBVs go through long
quiescent periods. Followup spectroscopy with WIYN confirms that our survey
detected a wealth of stars whose spectra are similar to the known LBVs. We
"classify" the spectra of known LBVs, and compare these to the spectra of the
new LBV candidates. We demonstrate spectacular spectral variability for several
of the new LBV candidates, such as AM2, previously classified as a Wolf-Rayet
star, which now shows FeI, FeII and Balmer emission lines but neither the NIII
4634,42 nor HeII 4686 emission that it did in 1982. Profound spectral changes
are also noted for other suspected and known LBVs. Several of the LBV
candidates also show >0.5 mag changes in V over the past 10-20 years. The
number of known or suspected LBVs is now 24 in M31, 37 in M33, 1 in NGC 6822,
and 3 in IC 10. We estimate that the total number of LBVs in M31 and M33 may be
several hundred, in contrast to the 8 known historically through large-scale
photometric variability. This has significant implications for the time scale
of the LBV phase. We also identify a few new WRs and peculiar emission-lined
objects.


title: Tensor-product vs. geometric-product coding

abstract:
  Quantum computation is based on tensor products and entangled states. We
discuss an alternative to the quantum framework where tensor products are
replaced by geometric products and entangled states by multivectors. The
resulting theory is analogous to quantum computation but does not involve
quantum mechanics. We discuss in detail similarities and differences between
the two approaches and illustrate the formulas by explicit geometric objects
where multivector versions of the Bell-basis, GHZ, and Hadamard states are
visualized by means of colored oriented polylines.


title: A criterion for the half-plane property

abstract:
  We establish a convenient necessary and sufficient condition for a
multiaffine real polynomial to be stable, and use it to verify that the
half-plane property holds for seven small matroids that resisted the efforts of
Choe, Oxley, Sokal, and Wagner [5].


title:
Divergence of a stationary random vector field can be always positive (a
  Weiss' phenomenon)

abstract:
  The divergence of a stationary random vector field at a given point is
usually a centered (that is, zero mean) random variable. Strangely enough, it
can be equal to 1 almost surely. This fact is another form of a phenomenon
disclosed by B. Weiss in 1997.


title:
On the distance of PG 1553+11. A lineless BL Lac object active in the
  TeV band

abstract:
  Context: The redshift of PG 1553+11, a bright BL Lac object (V~14), is still
unknown. It has been recently observed in the TeV band, a fact that offers an
upper limit for the redshift z<0.4. Aims: We intend to provide a lower limit
for the distance of the object. Methods: We used a chi^2 procedure to constrain
the apparent magnitude of the host galaxy in archived HST images. Supposing
that the host galaxy is typical of BL Lac objects (M_{R} -22.8), a lower limit
to the distance can be obtained from the limit on the apparent magnitude of the
host galaxy. Results: Using the 3 sigma limit on the host galaxy magnitude, the
redshift is found to be greater or equal to 0.25. Conlusions: The redshift of
PG 1553+11 is probably in the range z=0.3-0.4, making this object the most
distant extragalactic source so far detected in the TeV energies. We suggest
that other bright BL Lac objects of unknown redshift and similar spectroscopic
characteristics may be interesting targets for TeV observations.


title:
A Class of Parallel Tiled Linear Algebra Algorithms for Multicore
  Architectures

abstract:
  As multicore systems continue to gain ground in the High Performance
Computing world, linear algebra algorithms have to be reformulated or new
algorithms have to be developed in order to take advantage of the architectural
features on these new processors. Fine grain parallelism becomes a major
requirement and introduces the necessity of loose synchronization in the
parallel execution of an operation. This paper presents an algorithm for the
Cholesky, LU and QR factorization where the operations can be represented as a
sequence of small tasks that operate on square blocks of data. These tasks can
be dynamically scheduled for execution based on the dependencies among them and
on the availability of computational resources. This may result in an out of
order execution of the tasks which will completely hide the presence of
intrinsically sequential tasks in the factorization. Performance comparisons
are presented with the LAPACK algorithms where parallelism can only be
exploited at the level of the BLAS operations and vendor implementations.


title: (GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F

abstract:
  Let F be an arbitrary local field. Consider the standard embedding of GL(n,F)
into GL(n+1,F) and the two-sided action of GL(n,F) \times GL(n,F) on GL(n+1,F).
  In this paper we show that any GL(n,F) \times GL(n,F)-invariant distribution
on GL(n+1,F) is invariant with respect to transposition.
  We show that this implies that the pair (GL(n+1,F),GL(n,F)) is a Gelfand
pair. Namely, for any irreducible admissible representation $(\pi,E)$ of
(GL(n+1,F), $$dimHom_{GL(n,F)}(E,\cc) \leq 1.$$
  For the proof in the archimedean case we develop several new tools to study
invariant distributions on smooth manifolds.


title:
Valley contrasting physics in graphene: magnetic moment and topological
  transport

abstract:
  We investigate physical properties that can be used to distinguish the valley
degree of freedom in systems where inversion symmetry is broken, using graphene
systems as examples. We show that the pseudospin associated with the valley
index of carriers has an intrinsic magnetic moment, in close analogy with the
Bohr magneton for the electron spin. There is also a valley dependent Berry
phase effect that can result in a valley contrasting Hall transport, with
carriers in different valleys turning into opposite directions transverse to an
in-plane electric field. These effects can be used to generate and detect
valley polarization by magnetic and electric means, forming the basis for the
so-called valley-tronics applications.


title:
Automated search for galactic star clusters in large multiband surveys:
  I. Discovery of 15 new open clusters in the Galactic anticenter region

abstract:
  Aims: According to some estimations, there are as many as 100000 open
clusters in the Galaxy, but less than 2000 of them have been discovered,
measured, and cataloged. We plan to undertake data mining of multiwavelength
surveys to find new star clusters. Methods: We have developed a new method to
search automatically for star clusters in very large stellar catalogs, which is
based on convolution with density functions. We have applied this method to a
subset of the Two Micron All Sky Survey catalog toward the Galactic anticenter.
We also developed a method to verify whether detected stellar groups are real
star clusters, which tests whether the stars that form the spatial density peak
also fall onto a single isochrone in the color-magnitude diagram. By fitting an
isochrone to the data, we estimate at the same time the main physical
parameters of a cluster: age, distance, color excess. Results: For the present
paper, we carried out a detailed analysis of 88 overdensity peaks detected in a
field of $16\times16$ degrees near the Galactic anticenter. From this analysis,
15 overdensities were confirmed to be new open clusters and the physical and
structural parameters were determined for 12 of them; 10 of them were
previously suspected to be open clusters by Kronberger (2006) and Froebrich
(2007). The properties were also determined for 13 yet-unstudied known open
clusters, thus almost tripling the sample of open clusters with studied
parameters in the anticenter. The parameters determined with this method showed
a good agreement with published data for a set of well-known clusters.


title: Exponential clogging time for a one dimensional DLA

abstract:
  When considering DLA on a cylinder it is natural to ask how many particles it
takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we
formulate a very simple DLA clogging model and establish an exponential lower
bound on the number of particles arriving before clogging appears.


title:
Aspetti Moderni della Fisica Greca [Modern Aspects of Ancient Greek
  Physics]

abstract:
  Plutarchus, circa 100 AD, in his early book on "astrophysics" --in which he
exposed, in a sense, a general theory of gravitation-- wrote the noticeable
passage: <<The Moon gets the guarantee of not falling down just from its motion
and from the dash associated with its revolution, exactly as stones in slings
cannot fall due to their circular whirling motion; in fact, each thing is
dragged by its mere natural motion only if it isn't deviated by something else.
The Moon, therefore, is not dragged down by its weight, because its natural
tendency is frustrated by its revolution. And, on the contrary, it would be
really amazing if it could remain at rest always at the same place, like the
Earth>>. While Posidonius (circa 135-51 BC) had written: <<Matter is endowed
with a cohesion that keeps it together and against which the surrounding vacuum
has no power. Indeed, the material world is supported by an immense force, and
alternately contracts and expands in the vacuum following its own physical
processes, now consumed by fire, now, instead, giving rise to a new creation of
the cosmos>>. These two examples show how "modern" was part of the ancient
Greek physics, frequently overlooked since it is sometimes known through the
praiseworthy translations of scholars often competent in humanities, more than
in science. [A more extended English summary appears at the beginning of this
article, which is in Italian.]


title: PoGOLite - A High Sensitivity Balloon-Borne Soft Gamma-ray Polarimeter

abstract:
  We describe a new balloon-borne instrument (PoGOLite) capable of detecting
10% polarisation from 200mCrab point-like sources between 25 and 80keV in one 6
hour flight. Polarisation measurements in the soft gamma-ray band are expected
to provide a powerful probe into high-energy emission mechanisms as well as the
distribution of magnetic fields, radiation fields and interstellar matter. At
present, only exploratory polarisation measurements have been carried out in
the soft gamma-ray band. Reduction of the large background produced by
cosmic-ray particles has been the biggest challenge. PoGOLite uses Compton
scattering and photo-absorption in an array of 217 well-type phoswich detector
cells made of plastic and BGO scintillators surrounded by a BGO anticoincidence
shield and a thick polyethylene neutron shield. The narrow FOV (1.25msr)
obtained with well-type phoswich detector technology and the use of thick
background shields enhance the detected S/N ratio. Event selections based on
recorded phototube waveforms and Compton kinematics reduce the background to
that expected for a 40-100mCrab source between 25 and 50keV. A 6 hour
observation on the Crab will differentiate between the Polar Cap/Slot Gap,
Outer Gap, and Caustic models with greater than 5 sigma; and also cleanly
identify the Compton reflection component in the Cygnus X-1 hard state. The
first flight is planned for 2010 and long-duration flights from Sweden to
Northern Canada are foreseen thereafter.


title: An Update on the 0Z Project

abstract:
  We give an update on our 0Z Survey to find more extremely metal poor (EMP)
stars with [Fe/H] < -3 dex through mining the database of the Hamburg/ESO
Survey. We present the most extreme such stars we have found from ~1550
moderate resolution follow up spectra. One of these, HE1424-0241, has highly
anomalous abundance ratios not seen in any previously known halo giant, with
very deficient Si, moderately deficient Ca and Ti, highly enhanced Mn and Co,
and low C, all with respect to Fe. We suggest a SNII where the nucleosynthetic
yield for explosive alpha-burning nuclei was very low compared to that for the
hydrostatic alpha-burning element Mg, which is normal in this star relative to
Fe. A second, less extreme, outlier star with high [Sc/Fe] has also been found.
  We examine the extremely metal-poor tail of the HES metallicity distribution
function (MDF). We suggest on the basis of comparison of our high resolution
detailed abundance analyses with [Fe/H](HES) for stars in our sample that the
MDF inferred from follow up spectra of the HES sample of candidate EMP stars is
heavily contaminated for [Fe/H](HES) < -3 dex; many of the supposed EMP stars
below that metallicity are of substantially higher Fe-metallicity, including
most of the very C-rich stars, or are spurious objects.


title: Comment on Theory of spin Hall effect

abstract:
  Chudnovsky recently proposed (arXiv: 0709.0725) a beautifully simple
mechanism for the intrinsic spin Hall effect involving an extension of the
Drude model. We point out that an equivalent proposal was made by us in an
alternative treatment of the problem in Phys.Rev. B60, 14787 (1999)
(arXiv:cond-mat/9910408, reaching identical conclusions. The coincidence of
both approaches supports their physical validity. The mechanism applies to the
spin Hall effect in all metals and semiconductors and to the anomalous Hall
effect in all ferromagnetic metals and semiconductors.


title: Relative and Discrete Utility Maximising Entropy

abstract:
  The notion of utility maximising entropy (u-entropy) of a probability
density, which was introduced and studied by Slomczynski and Zastawniak (Ann.
Prob 32 (2004) 2261-2285, arXiv:math.PR/0410115 v1), is extended in two
directions. First, the relative u-entropy of two probability measures in
arbitrary probability spaces is defined. Then, specialising to discrete
probability spaces, we also introduce the absolute u-entropy of a probability
measure. Both notions are based on the idea, borrowed from mathematical
finance, of maximising the expected utility of the terminal wealth of an
investor. Moreover, u-entropy is also relevant in thermodynamics, as it can
replace the standard Boltzmann-Shannon entropy in the Second Law. If the
utility function is logarithmic or isoelastic (a power function), then the
well-known notions of the Boltzmann-Shannon and Renyi relative entropy are
recovered. We establish the principal properties of relative and discrete
u-entropy and discuss the links with several related approaches in the
literature.


title: Dynamics of Symplectic SubVolumes

abstract:
  In this paper we will explore fundamental constraints on the evolution of
certain symplectic subvolumes possessed by any Hamiltonian phase space. This
research has direct application to optimal control and control of conservative
mechanical systems. We relate geometric invariants of symplectic topology to
computations that can easily be carried out with the state transition matrix of
the flow map. We will show how certain symplectic subvolumes have a minimal
obtainable volume; further if the subvolume dimension equals the phase space
dimension, this constraint reduces to Liouville's Theorem. Finally we present a
preferred basis that, for a given canonical transformation, has certain
minimality properties with regards to the local volume expansion of phase
space.


title:
The fundamental role of the retarded potential in the electrodynamics of
  superluminal sources

abstract:
  We calculate the gradient of the radiation field generated by a polarization
current with a superluminally rotating distribution pattern and show that the
absolute value of this gradient increases as R^(7/2) with distance R within the
sharply focused subbeams constituting the overall radiation beam. This result
not only supports the earlier finding that the azimuthal and polar widths of
these subbeams narrow with distance (as R^(-3) and R^(-1), respectively), but
also implies that the boundary contribution to the solution of the wave
equation governing the radiation field does not always vanish in the limit
where the boundary tends to infinity. There is a fundamental difference between
the classical expressions for the retarded potential and field: while the
boundary contribution for the potential can always be made zero via a gauge
transformation preserving the Lorenz condition, that for the field may be
neglected only if it diminishes with distance faster than the contribution of
the source density in the far zone. In the case of a rotating superluminal
source, however, the boundary term in the retarded solution for the field is by
a factor of order R^(1/2) larger than the source term of this solution in the
limit, which explains why an argument based on the solution of the wave
equation governing the field that neglects the boundary term (such as that
presented by J. H. Hannay) misses the nonspherical decay of the field. Given
that the distribution of the radiation field of an accelerated superluminal
source in the far zone is not known a priori, the only way to calculate the
free-space radiation field of such sources is via the retarded solution for the
potential. Finally, we apply these findings to pulsar observational data: the
more distant a pulsar, the narrower and brighter its giant pulses should be.


title:
Spin and orbital angular momentum in gauge theories (II): QCD and
  nucleon spin structure

abstract:
  Parallel to the construction of gauge invariant spin and orbital angular
momentum for QED in paper (I) of this series, we present here an analogous but
non-trivial solution for QCD. Explicitly gauge invariant spin and orbital
angular momentum operators of quarks and gluons are obtained. This was
previously thought to be an impossible task, and opens a more promising avenue
towards the understanding of the nucleon spin structure.


title: Corners and Records of the Poisson Process in Quadrant

abstract:
  The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{\'e}
establishes the distributional identity of a self-similar Poisson process and
the set of spacings between the points of this process. In this note we connect
this result with properties of a certain set of extreme points of the unit
Poisson process in the positive quadrant.


title: Study of a Z-form of the coordinate ring of a reductive group

abstract:
  We show how the theory of canonical bases in modified universal enveloping
algebras can be used to develop the theory of Chevalley groups over any
commutative ring with 1.


title: Finite size corrections to the blackbody radiation laws

abstract:
  We investigate the radiation of a blackbody in a cavity of finite size. For a
given geometry, we use semiclassical techniques to obtain explicit expressions
of the modified Planck's and Stefan-Boltzmann's blackbody radiation laws as a
function of the size and shape of the cavity. We determine the range of
parameters (temperature, size and shape of the cavity) for which these effects
are accessible to experimental verification. Finally we discuss potential
applications of our findings in the physics of the cosmic microwave background
and sonoluminescence.

categories: quant-ph astro-ph cond-mat.mes-hall cond-mat.stat-mech


title: SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots

abstract:
  We study the SU(4) Kondo effect in carbon nanotube quantum dots, where doubly
degenerate orbitals form 4-electron ``shells''. The SU(4) Kondo behavior is
investigated for one, two and three electrons in the topmost shell. While the
Kondo state of two electrons is quenched by magnetic field, in case of an odd
number of electrons two types of SU(2) Kondo effect may survive. Namely, the
spin SU(2) state is realized in the magnetic field parallel to the nanotube
(inducing primarily orbital splitting). Application of the perpendicular field
(inducing Zeeman splitting) results in the orbital SU(2) Kondo effect.


title:
A two-parameter generalization of the complete elliptic integral of the
  second kind

abstract:
  The two parameter generalization of the complete elliptic integral of the
second kind discussed recently by Barsan is expressed in terms of ordinary
complete elliptic integrals.


title:
Supersymmetric version of a Gaussian irrotational compressible fluid
  flow

abstract:
  The Lie point symmetries and corresponding invariant solutions are obtained
for a Gaussian, irrotational, compressible fluid flow. A supersymmetric
extension of this model is then formulated through the use of a superspace and
superfield formalism. The Lie superalgebra of this extended model is determined
and a classification of its subalgebras is performed. The method of symmetry
reduction is systematically applied in order to derive special classes of
invariant solutions of the supersymmetric model. Several new types of
algebraic, hyperbolic, multi-solitonic and doubly periodic solutions are
obtained in explicit form.


title:
On D.K. Biss' papers "The homotopy type of the matroid Grassmannian" and
  "Oriented matroids, complex manifolds, and a combinatorial model for BU"

abstract:
  We point out a flaw in papers by Daniel Biss devoted to homotopy type of
matroid Grassmannians.


title: A semiclassical theory of the Anderson transition

abstract:
  We study analytically the metal-insulator transition in a disordered
conductor by combining the self-consistent theory of localization with the one
parameter scaling theory. We provide explicit expressions of the critical
exponents and the critical disorder as a function of the spatial
dimensionality, $d$. The critical exponent $\nu$ controlling the divergence of
the localization length at the transition is found to be $\nu = {1 \over 2}+ {1
\over {d-2}}$. This result confirms that the upper critical dimension is
infinity. Level statistics are investigated in detail. We show that the two
level correlation function decays exponentially and the number variance is
linear with a slope which is an increasing function of the spatial
dimensionality.


title: Weakly interacting Bose gases below the critical temperature

abstract:
  We consider a homogeneous non-ideal Bose gas at nonzero temperature in
equilibrium below the critical temperature $T_C$ in the framework of finite
temperature field theory. An algorithm is described in which a manageable
subset of diagrams can be considered which, coupled with a self--consistent
condition related to the minimization of the free energy, can be used to obtain
physically reasonable results.


title: Evolving small-world scale-free networks consist of cliques

abstract:
  We present a family of scale-free network model consisting of cliques, which
is established by a simple recursive algorithm. We investigate the networks
both analytically and numerically. The obtained analytical solutions show that
the networks follow a power-law degree distribution, with degree exponent
continuously tuned between 2 and 3. The exact expression of clustering
coefficient is also provided for the networks. Furthermore, the investigation
of the average path length reveals that the networks possess small-world
feature. Interestingly, we find that a special case of our model can be mapped
into the Yule process.


title: A Rationality Problem of Some Cremona Transformation

abstract:
  We will show the rationality of the function field of two variables under
certain Cremona transformation.


title: Twisted Symmetric Group Actions

abstract: We will show the raitonality of some twisted symmetric group actions.


title: Reduction theorems for Noether's problem

abstract: We will give several reduction theorems for Noether's problem.


title:
Exponential Maps and Symmetric Transformations in Cluster-Spin System
  for Lattice-Ising Models

abstract:
  We defined exponential maps with one parameter, associated with geodesics on
the parameter surface. By group theory we proposed a formula of the critical
points, which is a direct sum of the Lie subalgebras at the critical
temperature. We consider the self similar transformations as symmetric
operations. In the opinion of symmetry we analyzed the hexagon lattice system,
and got its three cluster spin states: single, double, and threefold, then its
critical point is calculated. There are two cases for lattice-Ising model in
thermodynamic equilibrium. In one case the periodic boundary conditions are
present without the infinite self similar transformations; in another the
system is in the possibility of the infinite self similar transformations
without the conditions. We think the real exact critical points close to our
results.


title: Monovacancy and Substitutional Defects in Hexagonal Silicon Nanotubes

abstract:
  We present a first-principle study of geometrical and electronic structure of
hexagonal single-walled silicon nanotubes with a monovacancy or a
substitutional defect. The C, Al or P atoms are chosen as substitutional
impurities. It is found that the defect such as a monovacancy or a
substitutional impurity results in deformation of the hexagonal single-walled
silicon nanotube. In both cases, a relatively localized unoccupied state near
the Fermi level occurs due to this local deformation. The difference in
geometrical and electronic properties of different substitutional impurities is
discussed.


title:
Staggered t-structures on derived categories of equivariant coherent
  sheaves

abstract:
  Let X be a scheme, and let G be an affine group scheme acting on X. Under
reasonable hypotheses on X and G, we construct a t-structure on the derived
category of G-equivariant coherent sheaves that in many ways resembles the
perverse coherent t-structure, but which incorporates additional information
from the G-action. Under certain circumstances, this t-structure, called the
"staggered t-structure," has an artinian heart, and its simple objects are
particularly easy to describe. We also exhibit two small examples in which the
staggered t-structure is better-behaved than the perverse coherent t-structure.


title:
Observations of Intrahour Variable Quasars: Scattering in our Galactic
  Neighbourhood

abstract:
  Interstellar scintillation (ISS) has been established as the cause of the
random variations seen at centimetre wavelengths in many compact radio sources
on timescales of a day or less. Observations of ISS can be used to probe
structure both in the ionized insterstellar medium of the Galaxy, and in the
extragalactic sources themselves, down to microarcsecond scales. A few quasars
have been found to show large amplitude scintillations on unusually rapid,
intrahour timescales. This has been shown to be due to weak scattering in very
local Galactic ``screens'', within a few tens of parsec of the Sun. The short
variability timescales allow detailed study of the scintillation properties in
relatively short observing periods with compact interferometric arrays. The
three best-studied ``intrahour variable'' quasars, PKS 0405-385, J1819+3845 and
PKS 1257-326, have been instrumental in establishing ISS as the principal cause
of intraday variability at centimetre wavelengths. Here we review the relevant
results from observations of these three sources.


title:
Exactly soluble spin-1/2 models on three-dimensional lattices and
  non-abelian statistics of closed string excitations

abstract:
  Exactly soluble spin-$\frac{1}2$ models on three-dimensional lattices are
proposed by generalizing Kitaev model on honeycomb lattice to three dimensions
with proper periodic boundary conditions. The simplest example is spins on a
diamond lattice which is exactly soluble. The ground state sector of the model
may be mapped into a p-wave paired state on cubic lattice. We observe for the
first time a topological phase transition from a gapless phase to a gapped
phase in an exactly soluble spin model. Furthermore, the gapless phase can not
be gapped by a perturbation breaking the time reversal symmetry. Unknotted and
unlinked Wilson loops arise as eigen excitations, which may evolute into linked
and knotted loop excitations. We show that these closed string excitations obey
abelian statistics in the gapped phase and non-abelian statistics in the
gapless phase.


title:
Global coupling at 660 km is proposed to explain plate tectonics and the
  generation of the earth's magnetic field

abstract:
  The presence of low viscosity layers in the mantle is supported by line of
geological and geophysical observations. Recent high pressure and temperature
investigations indicated that partial carbonate melt should exist at the bottom
of the lithosphere and at 660 km. The presence of few percent carbonate melt
reduces the viscosity by several order of magnitude. The globally existing 660
km very low viscosity layer allows the development of differential rotation
between the upper and lower mantle. This differential rotation between the 660
km outer shell and the rest of the earth offers a plausible explanation for
plate tectonics and for the generation of the earth's magnetic field. Simple
dynamo model is proposed, which able to reproduce all of the features of the
contemporary and, within reasonable uncertainty, the paleomagnetic field. The
model is also consistent with geological and geophysical observations.


title: A design principle for improved 3D AC electro-osmotic pumps

abstract:
  Three-dimensional (3D) AC electro-osmotic (ACEO) pumps have recently been
developed that are much faster and more robust than previous planar designs.
The basic idea is to create a ``fluid conveyor belt'' by placing opposing ACEO
slip velocities at different heights. Current designs involve electrodes with
electroplated steps, whose heights have been optimized in simulations and
experiments. Here, we consider changing the boundary conditions--rather than
the geometry--and predict that flow rates can be further doubled by fabricating
3D features with non-polarizable materials. This amplifies the fluid conveyor
belt by removing opposing flows on the vertical surfaces, and it increases the
slip velocities which drive the flow.


title: Possible evidence that pulsars are quark stars

abstract:
  It is a pity that the real state of matter in pulsar-like stars is still not
determined confidently because of the uncertainty about cold matter at
supranuclear density, even 40 years after the discovery of pulsar. Nuclear
matter (related to neutron stars) is one of the speculations for the inner
constitution of pulsars even from the Landau's time more than 70 years ago, but
quark matter (related to quark stars) is an alternative due to the fact of
asymptotic freedom of interaction between quarks as the standard model of
particle physics develops since 1960s. Therefore, one has to focus on
astrophysical observations in order to answer what the nature of pulsars is. In
this presentation, I would like to summarize possible observational
evidence/hints that pulsar-like stars could be quark stars, and to address
achievable clear evidence for quark stars in the future experiments.


title:
Necessary and sufficient condition for Greenberger-Horne-Zeilinger
  diagonal states to be full $N$-partite entangled

abstract:
  Recently, [{arXiv:0810.3134}] is accepted and published. We show that any
$N$-qubit state which is diagonal in the Greenberger-Horne-Zeilinger basis is
full $N$-qubit entangled state if and only if no partial transpose of the
multiqubit state is positive with respect to any partition.


title: MOST: detecting cancer differential gene expression

abstract:
  We propose a new statistics for the detection of differentially expressed
genes, when the genes are activated only in a subset of the samples. Statistics
designed for this unconventional circumstance has proved to be valuable for
most cancer studies, where oncogenes are activated for a small number of
disease samples. Previous efforts made in this direction include COPA, OS and
ORT. We propose a new statistics called maximum ordered subset t-statistics
(MOST) which seems to be natural when the number of activated samples is
unknown. We compare MOST to other statistics and find the proposed method often
has more power then its competitors.


title: Cirquent calculus deepened

abstract:
  Cirquent calculus is a new proof-theoretic and semantic framework, whose main
distinguishing feature is being based on circuits, as opposed to the more
traditional approaches that deal with tree-like objects such as formulas or
sequents. Among its advantages are greater efficiency, flexibility and
expressiveness. This paper presents a detailed elaboration of a deep-inference
cirquent logic, which is naturally and inherently resource conscious. It shows
that classical logic, both syntactically and semantically, is just a special,
conservative fragment of this more general and, in a sense, more basic logic --
the logic of resources in the form of cirquent calculus. The reader will find
various arguments in favor of switching to the new framework, such as arguments
showing the insufficiency of the expressive power of linear logic or other
formula-based approaches to developing resource logics, exponential
improvements over the traditional approaches in both representational and proof
complexities offered by cirquent calculus, and more. Among the main purposes of
this paper is to provide an introductory-style starting point for what, as the
author wishes to hope, might have a chance to become a new line of research in
proof theory -- a proof theory based on circuits instead of formulas.


title: Bayes and empirical Bayes changepoint problems

abstract:
  We generalize the approach of Liu and Lawrence (1999) for multiple
changepoint problems where the number of changepoints is unknown. The approach
is based on dynamic programming recursion for efficient calculation of the
marginal probability of the data with the hidden parameters integrated out. For
the estimation of the hyperparameters, we propose to use Monte Carlo EM when
training data are available. We argue that there is some advantages of using
samples from the posterior which takes into account the uncertainty of the
changepoints, compared to the traditional MAP estimator, which is also more
expensive to compute in this context. The samples from the posterior obtained
by our algorithm are independent, getting rid of the convergence issue
associated with the MCMC approach. We illustrate our approach on limited
simulations and some real data set.


title: Pairing Correlations in halo Nuclei

abstract:
  Paring correlations in weakly bound halo nuclei $^{6}$He and $^{11}$Li are
studied by using a three-body model with a density-dependent contact
interaction. We investigate the spatial structure of two-neutron wave function
in a Borromean nucleus $^{11}$Li.The behavior of the neutron pair at different
densities is simulated by calculating the two-neutron wave function at several
distances between the core nucleus $^9$Li and the center of mass of the two
neutrons. With this representation, a strong concentration of the neutron pair
on the nuclear surface is quantitatively established for neutron-rich nuclei.
Dipole excitations in $^{6}$He and $^{11}$Li are also studied within the same
three-body model and compared with experimental data. The small open angles
between the two neutrons from the core are extracted empirically by the B(E1)
sum rule together with the rms mass radii, indicating the strong di-neutron
correlation in the halo nuclei.


title:
Higher order terms in the condensate fraction of a homogeneous and
  dilute Bose gas

abstract:
  The condensate fraction of a homogeneous and dilute Bose gas is expanded as a
power series of $\sqrt{n a^3}$ as $N_0/N = 1 -c_1 (n a^3)^{1/2} -c_2 (n a^3) -
c_3 (n a^3)^{3/2}\hdots.$ The coefficient $c_1$ is well-known as $8/3
\sqrt{\pi}$, but the others are unknown yet. Considering two-body contact
interactions and applying a canonical transformation method twice we developed
the method to obtain the higher order coefficients analytically. An iteration
method is applied to make up a cutoff in a fluctuation term. The coefficients
ares $c_2=2(\pi - 8/3)$ and $c_3=(4/\sqrt{\pi}) (\pi -8/3)(10/3-\pi)$.


title: Bottomed Analog of Z+(4433)

abstract:
  The newly observed $Z^+ (4433)$ resonance by BELLE is believed to be a
tetraquark bound state made up of $(cu)(\bar c \bar d)$. We propose the
bottomed analog of this bound state, namely, by replacing one of the charm
quarks by a bottom quark, thus forming $Z_{bc}^{0, \pm, \pm\pm}$. One of the
$Z_{bc}$ is doubly charged. The predicted mass of $Z_{bc}$ is around 7.6 GeV.
This doubly-charged bound state can be detected by its decay into $B_c^\pm
\pi^\pm$. Similarly, we can also replace both charm quark and antiquark of the
$Z^+ (4433)$ by bottom quark and antiquark, respectively, thus forming $Z_{bb}$
the bottomonium analog of $Z^+ (4433)$. The predicted mass of $Z_{bb}$ is about
10.7 GeV.


title:
Entanglement of Uniformly Accelerating Schrodinger, Dirac, and Scalar
  Particles

abstract:
  We study how the entanglement of an entangled pair of particles is affected
when one or both of the pair is uniformly accelerated, while the detector
remains in an inertial frame. We find that the entanglement is unchanged if all
degrees of freedom are considered. However, particle pairs are produced when a
relativistic particle is accelerated, and more bipartite systems emerge, the
entanglements of some of which may change as the acceleration. In particular,
the entanglement of a pair of accelerating fermions is transferred
preferentially to the produced antiparticles when the acceleration is large,
and the entanglement transfer is complete when the acceleration approaches
infinity. However, no such entanglement transfer to the antiparticles is
observed for scalar particles.


title: Quantum metamaterials: Electromagnetic waves in a Josephson qubit line

abstract:
  We consider the propagation of a classical electromagnetic wave through a
transmission line, formed by identical superconducting charge qubits inside a
superconducting resonator. Since the qubits can be in a coherent superposition
of quantum states, we show that such a system demonstrates interesting new
effects, such as a ``breathing'' photonic crystal with an oscillating bandgap,
and a ``quantum Archimedean screw'' that transports, at an arbitrary controlled
velocity, Josephson plasma waves through the transmission line. The key
ingredient of these effects is that the optical properties of the Josephson
transmission line are controlled by the quantum coherent state of the qubits.


title: Recent progress in B physics

abstract:
  We firstly address the recent efforts on calculations of the next-to-leading
order corrections to the color-suppressed tree amplitude in QCD factorization
method which may be essential to solve the puzzles in $B\to \pi\pi$ and $\pi K$
decays. Then we discuss the polarization puzzles in $B\to \phi K^*$ and $\rho
K^*$. The impacts of the newly measured $B_s-\bar B_s$ mixing and $B^+\to
\tau^+\nu$ on the CKM unitarity triangle global fitting are mentioned. We also
briefly review the recent measurements of the new resonances at BaBar and
Belle. Finally, some new results from hadron colliders, especially the
$b$-flavored hadron spectra, are discussed.


title: A mean ergodic theorem for actions of amenable quantum groups

abstract:
  We prove a weak form of the mean ergodic theorem for actions of amenable
locally compact quantum groups in the von Neumann algebra setting.


title:
Forecasting neutrino masses from combining KATRIN and the CMB:
  Frequentist and Bayesian analyses

abstract:
  We present a showcase for deriving bounds on the neutrino masses from
laboratory experiments and cosmological observations. We compare the
frequentist and Bayesian bounds on the effective electron neutrino mass m_beta
which the KATRIN neutrino mass experiment is expected to obtain, using both an
analytical likelihood function and Monte Carlo simulations of KATRIN. Assuming
a uniform prior in m_beta, we find that a null result yields an upper bound of
about 0.17 eV at 90% confidence in the Bayesian analysis, to be compared with
the frequentist KATRIN reference value of 0.20 eV. This is a significant
difference when judged relative to the systematic and statistical uncertainties
of the experiment. On the other hand, an input m_beta=0.35 eV, which is the
KATRIN 5sigma detection threshold, would be detected at virtually the same
level. Finally, we combine the simulated KATRIN results with cosmological data
in the form of present (post-WMAP) and future (simulated Planck) observations.
If an input of m_beta=0.2 eV is assumed in our simulations, KATRIN alone
excludes a zero neutrino mass at 2.2sigma. Adding Planck data increases the
probability of detection to a median 2.7sigma. The analysis highlights the
importance of combining cosmological and laboratory data on an equal footing.


title: Timelike Boundary Sine-Gordon Theory and Two-Component Plasma

abstract:
  It has long been known that there is a relation between boundary sine-Gordon
theory and thermodynamics of charge neutral two-component Coulomb plasma on a
unit circle. On the other hand, recently it was found that open string
worldsheet description of brane decay can be related to a sequence of points of
thermodynamic equilibrium of one-component plasma. Here we consider a different
decay process which is specifically described by the timelike boundary
sine-Gordon theory. We find time evolution to be mapped to a one-dimensional
curve in the space of points of thermal equilibrium of a non-neutral
two-component Coulomb plasma. We compute the free energy of the system and find
that along the curve it is monotonously decreasing, defining a thermodynamic
arrow of time.


title: A Thermodynamic Interpretation of Time for Superstring Rolling Tachyons

abstract:
  Rolling tachyon backgrounds, arising from open strings on unstable branes in
bosonic string theory, can be related to a simple statistical mechanical model
- Coulomb gas of point charges in two dimensions confined to a circle, the
Dyson gas. In this letter we describe a statistical system that is dual to
non-BPS branes in superstring theory. We argue that even though the concept of
time is absent in the statistical dual sitting at equilibrium, the notion of
time can emerge at the large number of particles $N \to \infty$ limit.


title:
CANGAROO-III Search for Gamma Rays from SN 1987A and the Surrounding
  Field

abstract:
  Optical images of SN 1987A show a triple ring structure. The inner (dust)
ring has recently increased in brightness and in the number of hot spots
suggesting that the supernova shock wave has collided with the dense
pre-existing circumstellar medium, a scenario supported by radio and X-ray
observations. Such a shocked environment is widely expected to result in the
acceleration of charged particles, and the accompanying emission of very high
energy gamma-rays. Here, we report the results of observations made in 2004 and
2006 which yield upper limits on the TeV gamma-ray flux, which are compared
with a theoretical prediction. In addition, we set upper limits on the TeV flux
for four high energy objects which are located within the same field of view of
the observation: the super-bubble 30 Dor C, the Crab-like pulsar PSR
B0540$-$69, the X-ray binary LMC X-1, and the supernova remnant N157B.


title:
WKB approximation in deformed space with minimal length and minimal
  momentum

abstract:
  A Bohr-Sommerfeld quantization rule is generalized for the case of the
deformed commutation relation leading to minimal uncertainties in both
coordinate and momentum operators. The correctness of the rule is verified by
comparing obtained results with exact expressions for corresponding spectra.


title:
Scaling properties at the interface between different critical
  subsystems: The Ashkin-Teller model

abstract:
  We consider two critical semi-infinite subsystems with different critical
exponents and couple them through their surfaces. The critical behavior at the
interface, influenced by the critical fluctuations of the two subsystems, can
be quite rich. In order to examine the various possibilities, we study a system
composed of two coupled Ashkin-Teller models with different four-spin couplings
epsilon, on the two sides of the junction. By varying epsilon, some bulk and
surface critical exponents of the two subsystems are continuously modified,
which in turn changes the interface critical behavior. In particular we study
the marginal situation, for which magnetic critical exponents at the interface
vary continuously with the strength of the interaction parameter. The behavior
expected from scaling arguments is checked by DMRG calculations.


title: Reducing the magnetic susceptibility of parts in a magnetic gradiometer

abstract:
  In this paper we report a detailed investigation of a number of different
materials commonly used in precision instrumentation in the view of using them
as critical components in the magnetic gradiometer. The materials requirement
inside a magnetic gradiometer is stringent because the presence of magnetic
susceptible material will introduce intrinsic errors into the device. Many
commercial grade non-magnetic materials still have unacceptably high levels of
volume magnetic susceptibility between 0.001 and 0.0001. It is shown here that
machining with steel tools can further increase the susceptibility by up to an
order of magnitude. The ability of an acid wash to remove this contamination is
also reported. Washing in acid is shown to reduce the variation of volume
susceptibility in several commercial grade plastics which already have low
values of susceptibility.


title:
High-Energy Limit of Massless Dirac Fermions in Multilayer Graphene
  using Magneto-Optical Transmission Spectroscopy

abstract:
  We have investigated the absorption spectrum of multilayer graphene in high
magnetic fields. The low energy part of the spectrum of electrons in graphene
is well described by the relativistic Dirac equation with a linear dispersion
relation. However, at higher energies (>500 meV) a deviation from the ideal
behavior of Dirac particles is observed. At an energy of 1.25 eV, the deviation
from linearity is 40 meV. This result is in good agreement with the theoretical
model, which includes trigonal warping of the Fermi surface and higher-order
band corrections. Polarization-resolved measurements show no observable
electron-hole asymmetry.


title:
Dynamics of interacting particle systems: stochastic process and field
  theory

abstract:
  We present an approach to the dynamics of interacting particle systems, which
allows to derive path integral formulas from purely stochastic considerations.
We show that the resulting field theory is a dual version of the standard
theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map
between the two approaches and the occurence of imaginary noises in effective
Langevin equations for reaction-diffusion systems. The advantage of our
approach is that it focuses directly on the density field. We show some
applications, in particular on the Zero Range Process, hydrodynamic limits and
large deviation functional.


title:
Weak antilocalization in high mobility Ga(x)In(1-x)As/InP
  two-dimensional electron gases with strong spin-orbit coupling

abstract:
  We have studied the spin-orbit interaction in a high mobility two-dimensional
electron gas in a GaInAs/InP heterostructure as a function of an applied gate
voltage as well as a function of temperature. Highly sensitive magnetotransport
measurements of weak antilocalization as well as measurements of Shubnikov--de
Haas oscillations were performed in a wide range of electron sheet
concentrations. In our samples the electron transport takes place in the strong
spin precession regime in the whole range of applied gate voltages, which is
characterized by the spin precession length being shorter than the elastic mean
free path. The magnitude of the Rashba spin-orbit coupling parameter was
determined by fitting the experimental curves by a simulated quantum
conductance correction according to a model proposed recently by Golub [Phys.
Rev. B 71, 235310 (2005)]. A comparison of the Rashba coupling parameter
extracted using this model with the values estimated from the analysis of the
beating pattern in the Shubnikov--de Haas oscillations showed a good agreement.


title: The Steady State Fluctuation Relation for the Dissipation Function

abstract:
  We give a proof of transient fluctuation relations for the entropy production
(dissipation function) in nonequilibrium systems, which is valid for most time
reversible dynamics. We then consider the conditions under which a transient
fluctuation relation yields a steady state fluctuation relation for driven
nonequilibrium systems whose transients relax, producing a unique
nonequilibrium steady state. Although the necessary and sufficient conditions
for the production of a unique nonequilibrium steady state are unknown, if such
a steady state exists, the generation of the steady state fluctuation relation
from the transient relation is shown to be very general. It is essentially a
consequence of time reversibility and of a form of decay of correlations in the
dissipation, which is needed also for, e.g., the existence of transport
coefficients. Because of this generality the resulting steady state fluctuation
relation has the same degree of robustness as do equilibrium thermodynamic
equalities. The steady state fluctuation relation for the dissipation stands in
contrast with the one for the phase space compression factor, whose convergence
is problematic, for systems close to equilibrium. We examine some model
dynamics that have been considered previously, and show how they are described
in the context of this work.


title: On the efficiency of field star capture by star clusters

abstract:
  An exciting recent finding regarding scaling relations among globular
clusters is the so-called 'blue tilt': clusters of the blue sub-population
follow a trend of redder colour with increasing luminosity. In this paper we
evaluate to which extent field star capture over a Hubble time may explain the
'blue tilt'. We perform collisional N-body simulations to quantify the amount
of field star capture occuring over a Hubble time to star clusters with 10^3 to
10^6 stars. In the simulations we follow the orbits of field stars passing
through a star cluster and calculate the energy change that the field stars
experience due to gravitational interaction with cluster stars during one
passage through the cluster. The capture condition is that their total energy
after the passage is smaller than the gravitational potential at the cluster's
tidal radius. By folding this with the fly-by rates of field stars with an
assumed space density as in the solar neighbourhood and a range of velocity
dispersions, we derive estimates on the mass fraction of captured field stars
as a function of environment. We find that integrated over a Hubble time, the
ratio between captured field stars and total number of clusters stars is very
low (<~ 10^(-4)), even for the smallest considered field star velocity
dispersion sigma=15 km/s. This holds for star clusters in the mass range of
both open clusters and globular clusters. We furthermore show that tidal
friction has a negligible effect on the energy distribution of field stars
after interaction with the cluster. We conclude that field star capture is not
a probable mechanism for creating the colour-magnitude trend of metal-poor
globular clusters.


title:
Auger recombination and carrier multiplication in embedded silicon and
  germanium nanocrystals

abstract:
  For Si and Ge nanocrystals (NCs) embedded in wide band-gap matrices, Auger
recombination (AR) and carrier multiplication (CM) lifetimes are computed
exactly in a three-dimensional real space grid using empirical pseudopotential
wave functions. Our results in support of recent experimental data offer new
predictions. We extract simple Auger constants valid for NCs. We show that both
Si and Ge NCs can benefit from photovoltaic efficiency improvement via CM due
to the fact that under an optical excitation exceeding twice the band gap
energy, the electrons gain lion's share from the total excess energy and can
cause a CM. We predict that CM becomes especially efficient for hot electrons
with an excess energy of about 1 eV above the CM threshold.


title:
Fine-tuning the functional properties of carbon nanotubes via the
  interconversion of encapsulated molecules

abstract:
  Tweaking the properties of carbon nanotubes is a prerequisite for their
practical applications. Here we demonstrate fine-tuning the electronic
properties of single-wall carbon nanotubes via filling with ferrocene
molecules. The evolution of the bonding and charge transfer within the tube is
demonstrated via chemical reaction of the ferrocene filler ending up as
secondary inner tube. The charge transfer nature is interpreted well within
density functional theory. This work gives the first direct observation of a
fine-tuned continuous amphoteric doping of single-wall carbon nanotubes.


title:
Mean time exit and isoperimetric inequalities \\for minimal submanifolds
  of $N\times \mathbb{R}$

abstract:
  Based on Markvorsen and Palmer's work on mean time exit and isoperimetric
inequalities we establish slightly better isoperimetric inequalities and mean
time exit estimates for minimal submanifolds of $N\times\mathbb{R}$. We also
prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed
second fundamental form.


title: High-energy scattering and Euclidean-Minkowskian duality

abstract:
  We shall discuss how some relevant analyticity and crossing-symmetry
properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD,
when going from Euclidean to Minkowskian theory, can be related to the still
unsolved problem of the asymptotic s-dependence of the hadron-hadron total
cross-sections. In particular, we critically discuss the question if (and how)
a pomeron-like behaviour can be derived from this Euclidean-Minkowskian
duality.


title: R&D Status of ATF2 IP Beam Size Monitor (Shintake Monitor)

abstract:
  Shintake monitor is a nanometer-scale electron beam size monitor. It probes a
electron beam by an interference fringe pattern formed by split laser beams.
Minimum measurable beam size by this method is less than 1/10 of laser
wavelength. In ATF2, Shintake monitor will be used for the IP beam size monitor
to measure 37 nm (design) beam size. Development status of the Shintake
monitor, including fringe phase monitoring and stabilization, gamma detector
and collimators, is described. In addition, we discuss the beam size
measurement by Shintake monitor in ILC.


title: Le degre de la variete des courbes de Poncelet

abstract:
  We compute the degree of the projective variety of Poncelet curves of degree
$n$. This variety is irreducible of dimension $2 n + 5$, and lies inside the
projective space of degree $n$ plane curves. It is classically defined as the
closure on this projective space of the locally closed subset of curves passing
through the vertices of some nondegenerate $n$ sided polygone inscribed in some
smooth conic (the polygone and the conic being variable). It is related to a
specific class of semi-stable sheaves on the projective (dual) plane, named
Poncelet sheaves. Using moduli spaces birational to the variety of Poncelet
curves, we compute the requested degree. It involves quite cumbersome
computations, and we obtain general formulas for $n \geq 4$. We do numerical
applications for $n \leq 6$. For $n=4$ we find back the well known Donaldson
number of the projective plane, 54, which is the degree of the hypersurface of
Luroth quartics.


title:
Interference of Spontaneous Emission of Light from two Solid-State
  Atomic Ensembles

abstract:
  We report an interference experiment of spontaneous emission of light from
two distant solid-state ensembles of atoms that are coherently excited by a
short laser pulse. The ensembles are Erbium ions doped into two LiNbO3 crystals
with channel waveguides, which are placed in the two arms of a Mach-Zehnder
interferometer. The light that is spontaneously emitted after the excitation
pulse shows first-order interference. By a strong collective enhancement of the
emission, the atoms behave as ideal two-level quantum systems and no which-path
information is left in the atomic ensembles after emission of a photon. This
results in a high fringe visibility of 95%, which implies that the observed
spontaneous emission is highly coherent.


title: X-ray active galactic nuclei in the core of the Perseus cluster

abstract:
  We present a study of the X-ray emission from the nuclei of galaxies observed
in the core of the Perseus cluster in a deep exposure with Chandra. Point
sources are found coincident with the nuclei of 13 early-type galaxies, as well
as the central galaxy NGC1275. This corresponds to all galaxies brighter than
M_B = -18 in the Chandra field. All of these sources have a steep power-law
spectral component and four have an additional thermal component. The
unabsorbed power-law luminosities in the 0.5-7.0 keV band range from
8.10^38-5.10^40 erg/s. We find no simple correlations between the K band
luminosity, or the FUV and NUV AB magnitudes of these galaxies and their X-ray
properties. We have estimated the black hole masses of the nuclei using the K
band M_BH-L_K relation and again find no correlation between black hole mass
and the X-ray luminosity. Bondi accretion onto the black holes in the galaxies
with mini-haloes should make them much more luminous than observed.


title: Phenomenology of Gamma-Ray Jets

abstract:
  We discuss some phenomenological aspects of $\gamma$-ray emitting jets. In
particular, we present calculations of the $\gamma$-sphere and $\pi$-sphere for
various target photon fields, and employ them to demonstrate how $\gamma$-ray
observations at very high energies can be used to constraint the Doppler factor
of the emitting plasma and the production of VHE neutrinos. We also consider
the implications of the rapid TeV variability observed in M87 and the TeV
blazars, and propose a model for the very rapid TeV flares observed with HESS
and MAGIC in some blazars,that accommodates the relatively small Doppler
factors inferred from radio observations. Finally, we briefly discuss the
prospects for detecting VHE neutrinos from relativistic jets.


title: Spin-gap behaviour in the 2-leg spin-ladder BiCu2PO6

abstract:
  We present magnetic suscceptibility and heat capacity data on a new S=1/2
two-leg spin ladder compound BiCu2PO6. From our susceptibility analysis, we
find that the leg coupling J1/k_B is ~ 80 K and the ratio of the rung to leg
coupling J2/J1 ~ 0.9. We present the magnetic contribution to the heat capacity
of a two-leg ladder. The spin-gap Delta/k_B =3 4 K obtained from the heat
capacity agrees very well with that obtained from the magnetic susceptibility.
Significant inter-ladder coupling is suggested from the susceptibility
analysis. The hopping integrals determined using Nth order muffin tin orbital
(NMTO) based downfolding method lead to ratios of various exchange couplings in
agreement with our experimental data. Based on our band structure analysis, we
find the inter-ladder coupling in the bc-plane J2 to be about 0.75J1 placing
the compound presumably close to the quantum critical limit.


title: Control of Quantum Systems Despite Feedback Delay

abstract:
  Feedback control (based on the quantum continuous measurement) of quantum
systems inevitably suffers from estimation delays. In this paper we give a
delay-dependent stability criterion for a wide class of nonlinear stochastic
systems including quantum spin systems. We utilize a semi-algebraic problem
approach to incorporate the structure of density matrices. To show the
effectiveness of the result, we derive a globally stabilizing control law for a
quantum spin-1/2 systems in the face of feedback delays.


title: Measurement of B(Ds -> munu)

abstract:
  We present a measurement of the branching fraction $B(D_s^+\to\mu^+\nu_\mu)$
using a 548 fb$^{-1}$ data sample collected by the Belle experiment at the KEKB
$e^+e^-$ collider. The $D_s$ momentum is determined by reconstruction of the
system recoiling against $DK\gamma X$ in events of the type $e^+e^-\to D_s^\ast
DKX, D_s^\ast \to D_s\gamma$, where $X$ represents additional pions or photons
from fragmentation. The full reconstruction method provides high resolution in
the neutrino momentum and thus good background separation, equivalent to that
reached by experiments at the tau-charm factories. We obtain the branching
fraction $B(D_s^+\to\mu^+\nu_\mu) = (6.44 \pm 0.76({\rm stat}) \pm 0.57({\rm
syst})) \cdot 10^{-3}$, implying a $D_s$ decay constant of $f_{D_s} = (275 \pm
16({\rm stat}) \pm 12({\rm syst}))$ MeV.


title: Coincidence rotations of the root lattice $A_4$

abstract:
  The coincidence site lattices of the root lattice $A_4$ are considered, and
the statistics of the corresponding coincidence rotations according to their
indices is expressed in terms of a Dirichlet series generating function. This
is possible via an embedding of $A_4$ into the icosian ring with its rich
arithmetic structure, which recently (arXiv:math.MG/0702448) led to the
classification of the similar sublattices of $A_4$.


title:
Electro-optic control of atom-light interactions using Rydberg
  dark-state polaritons

abstract:
  We demonstrate a multiphoton Rydberg dark resonance where a Lambda-system is
coupled to a Rydberg state. This N-type level scheme combines the ability to
slow and store light pulses associated with long lived ground state
superpositions, with the strongly interacting character of Rydberg states. For
the nd_{5/2} Rydberg state in 87Rb (with n=26 or 44) and a beam size of 1 mm we
observe a resonance linewidth of less than 100 kHz in a room temperature atomic
ensemble limited by transit-time broadening. The resonance is switchable with
an electric field of order 1 V/cm. We show that, even when photons with
different wavevectors are involved, the resonance can be Doppler-free.
Applications in electro-optic switching and photonic phase gates are discussed.


title:
Observation of an in-plane magnetic-field-driven phase transition in a
  quantum Hall system with SU(4) symmetry

abstract:
  In condensed matter physics, the study of electronic states with SU(N)
symmetry has attracted considerable and growing attention in recent years, as
systems with such a symmetry can often have a spontaneous symmetry-breaking
effect giving rise to a novel ground state. For example, pseudospin quantum
Hall ferromagnet of broken SU(2) symmetry has been realized by bringing two
Landau levels close to degeneracy in a bilayer quantum Hall system. In the past
several years, the exploration of collective states in other multi-component
quantum Hall systems has emerged. Here we show the conventional pseudospin
quantum Hall ferromagnetic states with broken SU(2) symmetry collapsed rapidly
into an unexpected state with broken SU(4) symmetry, by in-plane magnetic field
in a two-subband GaAs/AlGaAs two-dimensional electron system at filling factor
around $\nu=4$. Within a narrow tilting range angle of 0.5 degrees, the
activation energy increases as much as 12 K. While the origin of this puzzling
observation remains to be exploited, we discuss the possibility of a
long-sought pairing state of electrons with a four-fold degeneracy.


title: 3-5 micron spectroscopy of obscured AGNs in ULIRGs

abstract:
  We present the results of infrared L-band (3-4 micron) and M-band (4-5
micron) VLT-ISAAC spectroscopy of five bright Ultraluminous InfraRed Galaxies
(ULIRGs) hosting an AGN. From our analysis we distinguish two types of sources:
ULIRGs where the AGN is unobscured (with a flat continuum and no absorption
features at 3.4 micron and 4.6 micron), and those with highly obscured AGNs
(with a steep, reddened continuum and absorption features due to hydrocarbons
and CO). Starburst activity is also present in all of the sources as inferred
from the 3.3 micron PAH emission line. A strong correlation is found between
continuum slope and CO optical depth, which suggests that deep carbon monoxide
absorption is a common feature of highly obscured ULIRG AGN. Finally we show
that the AGN dominates the 3-4 micron emission, even if its contribution to the
bolometric luminosity is small.


title: The Gonihedric Ising Model and Glassiness

abstract:
  The Gonihedric 3D Ising model is a lattice spin model in which planar Peierls
boundaries between + and - spins can be created at zero energy cost. Instead of
weighting the area of Peierls boundaries as the case for the usual 3D Ising
model with nearest neighbour interactions, the edges, or "bends" in an
interface are weighted, a concept which is related to the intrinsic curvature
of the boundaries in the continuum.
  In these notes we follow a roughly chronological order by first reviewing the
background to the formulation of the model, before moving on to the elucidation
of the equilibrium phase diagram by various means and then to investigation of
the non-equilibrium, glassy behaviour of the model.


title: A MAPS-based Digital Electromagnetic Calorimeter for the ILC

abstract:
  A novel design for a silicon-tungsten electromagnetic calorimeter is
described, based on Monolithic Active Pixel Sensors (MAPS). A test sensor with
a pixel size of 50x50 um2 has been fabricated in July 2007. The simulation of
the physical sensor is done using a detailed three-dimensional charge spread
algorithm. Physics studies of the sensor are done including a digitisation
algorithm taking into account the charge sharing, charge collection efficiency,
noise, and dead areas. The influence of the charge sharing effect is found to
be important and hence needs to be measured precisely.


title: Rigid rotators and diatomic molecules via Tsallis statistics

abstract:
  We obtain an analytic expression for the specific heat of a system of N rigid
rotators exactly in the high temperature limit, and via a pertubative approach
in the low temperature limit. We then evaluate the specific heat of a diatomic
gas with both translational and rotational degrees of freedom, and conclude
that there is a mixing between the translational and rotational degrees of
freedom in nonextensive statistics.


title:
Exclusive processes in position space and the pion distribution
  amplitude

abstract:
  We suggest to carry out lattice calculations of current correlators in
position space, sandwiched between the vacuum and a hadron state (e.g. pion),
in order to access hadronic light-cone distribution amplitudes (DAs). In this
way the renormalization problem for composite lattice operators is avoided
altogether, and the connection to the DA is done using perturbation theory in
the continuum. As an example, the correlation function of two electromagnetic
currents is calculated to the next-to-next-to-leading order accuracy in
perturbation theory and including the twist-4 corrections. We argue that this
strategy is fully competitive with direct lattice measurements of the moments
of the DA, defined as matrix elements of local operators, and offers new
insight in the space-time picture of hard exclusive reactions.


title: Knot localization in adsorbing polymer rings

abstract:
  We study by Monte Carlo simulations a model of knotted polymer ring adsorbing
onto an impenetrable, attractive wall. The polymer is described by a
self-avoiding polygon (SAP) on the cubic lattice. We find that the adsorption
transition temperature, the crossover exponent $\phi$ and the metric exponent
$\nu$, are the same as in the model where the topology of the ring is
unrestricted. By measuring the average length of the knotted portion of the
ring we are able to show that adsorbed knots are localized. This knot
localization transition is triggered by the adsorption transition but is
accompanied by a less sharp variation of the exponent related to the degree of
localization. Indeed, for a whole interval below the adsorption transition, one
can not exclude a contiuous variation with temperature of this exponent. Deep
into the adsorbed phase we are able to verify that knot localization is strong
and well described in terms of the flat knot model.


title:
Conical square function estimates in UMD Banach spaces and applications
  to H-infinity functional calculi

abstract:
  We study conical square function estimates for Banach-valued functions, and
introduce a vector-valued analogue of the Coifman-Meyer-Stein tent spaces.
Following recent work of Auscher-McIntosh-Russ, the tent spaces in turn are
used to construct a scale of vector-valued Hardy spaces associated with a given
bisectorial operator (A) with certain off-diagonal bounds, such that (A) always
has a bounded (H^{\infty})-functional calculus on these spaces. This provides a
new way of proving functional calculus of (A) on the Bochner spaces
(L^p(\R^n;X)) by checking appropriate conical square function estimates, and
also a conical analogue of Bourgain's extension of the Littlewood-Paley theory
to the UMD-valued context. Even when (X=\C), our approach gives refined
(p)-dependent versions of known results.


title: Temperature Inversion Symmetry in Gauge-Higgs Unification Models

abstract:
  The temperature inversion symmetry $R\to \frac{1}{T}$ is studied for the
finite temperature effective potential of the N=1, $d=5$, supersymmetric
$SU(3)_{c}{\times}SU(3)_{w}$ model, on the orbifold $S^{1}/Z_{2}$. For the
value of the Wilson line parameter $\alpha=1$ ($SU(2)_{L}$ breaks to a
$U'(1)$), it is found that the effective potential contains a symmetric part
and an anti-symmetric part under $\xi\to \frac{1}{\xi}$, with, $\xi=RT$. When
$\alpha=0$ (for which, $SU(2)_{L}$ remains unbroken) it is found that the only
contribution to the effective potential that spoils the temperature inversion
symmetry comes from the fermions in the fundamental representation of the gauge
group, with $(+,+)$ or $(-,-)$, $Z_{2}$ parities. This is interesting since it
implies that the bulk effective potential corresponding to models with orbifold
fixed point localized fundamental fermions (and with no bulk fundamental
fermions) has the temperature inversion symmetry.


title: Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model

abstract:
  We extend the idea of quantum phase transitions of light in atom-photon
system with Dicke-Bose-Hubbard model for arbitrary number of two-level atoms.
The formulations of eigenenergies, effective Rabi frequencies, and critical
chemical potentials for two atoms are derived. With a self-consistent method,
we obtain a complete phase diagram for two two-level atoms on resonance, which
indicates the transition from Mott insulator to superfluidity and with a mean
excitations diagram for confirmation. We illustrate the generality of the
method by constructing the dressed-state basis for arbitrary number of
two-level atoms. In addition, we show that the Mott insulator lobes in the
phase diagrams will smash out with the increase of atom numbers. The results of
this work provide a step for studying the effects with combinations of
Dicke-like and Hubbard-like models to simulate strongly correlated electron
systems using photons.


title: Dynamics of Linear and Affine Maps

abstract:
  The well-known theory of "rational canonical form of an operator" describes
the invariant factors, or elementary divisors, as a complete set of invariants
of a similarity class of an operator on a finite-dimensional vector space $\V$
over a given field $\F$. A finer part of the theory is the contribution by
Frobenius dealing with the structure of the centralizer of an operator. The
viewpoint is that of finitely generated modules over a PID, cf. for example
[J], ch. 3. In this paper we approach the issue from a "dynamic" viewpoint, as
explained in [K]. We also extend the theory to affine maps. The formulation is
in terms of the action of the geneal linear group, or the group of invertible
affine maps, on the semigroup of all linear resp. affine maps by conjugacy. We
describe a parametrization of orbits and orbit-classes under this action, and
also provide a parametrization of all affine maps themselves.


title:
The stellar mass assembly of galaxies from z=0 to z=4. Analysis of a
  sample selected in the rest-frame near-infrared with Spitzer

abstract:
  Using a sample of ~28,000 sources selected at 3.6-4.5 microns with Spitzer
observations of the HDF-N, the CDF-S, and the Lockman Hole (surveyed area: ~664
arcmin^2), we study the evolution of the stellar mass content of the Universe
at 0<z<4. We calculate stellar masses and photometric redshifts, based on
~2,000 templates built with stellar and dust emission models fitting the
UV-to-MIR SEDs of galaxies with spectroscopic redshifts. We estimate stellar
mass functions for different redshift intervals. We find that 50% of the local
stellar mass density was assembled at 0<z<1 (average SFR:0.048 M_sun/yr/Mpc^3),
and at least another 40% at 1<z<4 (average SFR: 0.074 M_sun/yr/Mpc^3). Our
results confirm and quantify the ``downsizing'' scenario of galaxy formation.
The most massive galaxies (M>10^12.0 M_sun) assembled the bulk of their stellar
content rapidly (in 1-2 Gyr) beyond z~3 in very intense star formation events
(producing high specific SFRs). Galaxies with 10^11.5<M/M_sun<10^12.0 assembled
half of their stellar mass before z~1.5, and more than 90% of their mass was
already in place at z~0.6. Galaxies with M<10^11.5 M_sun evolved more slowly
(presenting smaller specific SFRs), assembling half of their stellar mass below
z~1. About 40% of the local stellar mass density of 10^9.0<M/M_sun<10^11.0
galaxies was assembled below z~0.4, most probably through accretion of small
satellites producing little star formation. The cosmic stellar mass density at
z>2.5 is dominated by optically faint (R>25) red galaxies (Distant Red Galaxies
or BzK sources) which account for ~30% of the global population of galaxies,
but contribute at least 60% to the cosmic stellar mass density. Bluer galaxies
(e.g., Lyman Break Galaxies) are more numerous but less massive, contributing
less than 50% to the global stellar mass density at high redshift.


title:
Enhancement of localization in one-dimensional random potentials with
  long-range correlations

abstract:
  We experimentally study the effect of enhancement of localization in weak
one-dimensional random potentials. Our experimental setup is a single mode
waveguide with 100 tuneable scatterers periodically inserted into the
waveguide. By measuring the amplitudes of transmitted and reflected waves in
the spacing between each pair of scatterers, we observe a strong decrease of
the localization length when white-noise scatterers are replaced by a
correlated arrangement of scatterers.


title:
Iron lines from transient and persisting hot spots on AGN accretion
  disks

abstract:
  [abridged] We model the X-ray reprocessing from a strong co-rotating flare
above an accretion disk in active galactic nuclei. We explore the horizontal
structure and evolution of the underlying hot spot. To obtain the spectral
evolution seen by a distant observer, we apply a general relativity ray-tracing
technique. We concentrate on the energy band around the iron K-line, where the
relativistic effects are most pronounced. Persistent flares lasting for a
significant fraction of the orbital time scale and short, transient flares are
considered. In our time-resolved analysis, the spectra recorded by a distant
observer depend on the position of the flare/spot with respect to the central
black hole. If the flare duration significantly exceeds the light travel time
across the spot, then the spot horizontal stratification is unimportant. On the
other hand, if the flare duration is comparable to the light travel time across
the spot radius, the lightcurves exhibit a typical asymmetry in their time
profiles. The sequence of dynamical spectra proceeds from more strongly to less
strongly ionized re-emission. At all locations within the spot the spectral
intensity increases towards edge-on emission angles, revealing the limb
brightening effect. Future X-ray observatories with significantly larger
effective collecting areas will enable to spectroscopically map out the
azimuthal irradiation structure of the accretion disk and to localize
persistent flares. If the hot spot is not located too close to the marginally
stable orbit of the black hole, it will be possible to probe the reflecting
medium via the sub-structure of the iron K-line. Indications for transient
flares will only be obtained from analyzing the observed lightcurves on the
gravitational time scale of the accreting supermassive black hole.


title:
The Millennium Galaxy Catalogue: The severe attenuation of bulge flux by
  dusty spiral discs

abstract:
  Using the Millennium Galaxy Catalogue we quantify the dependency of the disc
and bulge luminosity functions on galaxy inclination. Using a contemporary dust
model we show that our results are consistent with galaxy discs being optically
thick in their central regions (tau_B^f=3.8+/-0.7). As a consequence the
measured B-band fluxes of bulges can be severely attenuated by 50% to 95%
depending on disc inclination. We argue that a galaxy's optical appearance can
be radically transformed by simply removing the dust, e.g. during cluster
infall, with mid-type galaxies becoming earlier, redder, and more luminous.
Finally we derive the mean photon escape fraction from the integrated galaxy
population over the 0.1micron to 2.1 micron range, and use this to show that
the energy of starlight absorbed by dust (in our model) is in close agreement
with the total far-IR emission.


title: Mori-Zwanzig Equations With Time-Dependent Liouvillian

abstract:
  We extend the Mori-Zwanzig equations to the case where the Liouvillian is
time-dependent by way of a Dyson identity due to Holian and Evans. This
extension makes it possible to treat, for example, more general cases of
continuous-wave (cw) or pulsed irradiation in NMR and coherent optics. The
formalism immediately allows for reference frame changes and approximations
based on coherent averaging.


title:
A robust morphological classification of high-redshift galaxies using
  support vector machines on seeing limited images. I Method description

abstract:
  We present a new non-parametric method to quantify morphologies of galaxies
based on a particular family of learning machines called support vector
machines. The method, that can be seen as a generalization of the classical CAS
classification but with an unlimited number of dimensions and non-linear
boundaries between decision regions, is fully automated and thus particularly
well adapted to large cosmological surveys. The source code is available for
download at http://www.lesia.obspm.fr/~huertas/galsvm.html To test the method,
we use a seeing limited near-infrared ($K_s$ band, $2,16\mu m$) sample observed
with WIRCam at CFHT at a median redshift of $z\sim0.8$. The machine is trained
with a simulated sample built from a local visually classified sample from the
SDSS chosen in the high-redshift sample's rest-frame (i band, $0.77\mu m$) and
artificially redshifted to match the observing conditions. We use a
12-dimensional volume, including 5 morphological parameters and other
caracteristics of galaxies such as luminosity and redshift. We show that a
qualitative separation in two main morphological types (late type and early
type) can be obtained with an error lower than 20% up to the completeness limit
of the sample ($KAB\sim 22$) which is more than 2 times better that what would
be obtained with a classical C/A classification on the same sample and indeed
comparable to space data. The method is optimized to solve a specific problem,
offering an objective and automated estimate of errors that enables a
straightforward comparison with other surveys.


title: Progress with Particle Flow Calorimetry

abstract:
  One of the most important requirements for a detector at the ILC is good jet
energy resolution. It is widely believed that the particle flow approach to
calorimetry is the key to achieving the ILC goal of a di-jet invariant mass
resolution sigma_m/m < Gamma_Z/m_Z. This paper describes the current
performance of the PandoraPFA particle flow algorithm. For simulated light
quark jets in the Tesla TDR detector, the jet energy resolution achieved is
better than sigma_E/E ~ 3.4% for jet energies in the range 45-250 GeV. This
represents the first demonstration that Particle Flow Calorimetry can reach the
ILC jet energy resolution goals.


title:
Relaxation times of unstable states in systems with long range
  interactions

abstract:
  We consider several models with long-range interactions evolving via
Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean
Field (HMF) model and perturbed HMF models with either global anisotropy or an
on-site potential are studied both analytically and numerically. We find that
in the magnetic phase, the initial zero magnetization state remains stable
above a critical energy and is unstable below it. In the dynamically stable
state, these models exhibit relaxation time scales that increase algebraically
with the number $N$ of particles, indicating the robustness of the
quasistationary state seen in previous studies. In the unstable state, the
corresponding time scale increases logarithmically in $N$.


title:
Quantum-field dynamics of expanding and contracting Bose-Einstein
  condensates

abstract:
  We analyze the dynamics of quantum statistics in a harmonically trapped
Bose-Einstein condensate, whose two-body interaction strength is controlled via
a Feshbach resonance. From an initially non-interacting coherent state, the
quantum field undergoes Kerr squeezing, which can be qualitatively described
with a single mode model. To render the effect experimentally accessible, we
propose a homodyne scheme, based on two hyperfine components, which converts
the quadrature squeezing into number squeezing. The scheme is numerically
demonstrated using a two-component Hartree-Fock-Bogoliubov formalism.


title:
Electron-ion recombination of Si IV forming Si III: Storage-ring
  measurement and multiconfiguration Dirac-Fock calculations

abstract:
  The electron-ion recombination rate coefficient for Si IV forming Si III was
measured at the heavy-ion storage-ring TSR. The experimental electron-ion
collision energy range of 0-186 eV encompassed the 2p(6) nl n'l' dielectronic
recombination (DR) resonances associated with 3s to nl core excitations, 2s
2p(6) 3s nl n'l' resonances associated with 2s to nl (n=3,4) core excitations,
and 2p(5) 3s nl n'l' resonances associated with 2p to nl (n=3,...,infinity)
core excitations. The experimental DR results are compared with theoretical
calculations using the multiconfiguration Dirac-Fock (MCDF) method for DR via
the 3s to 3p n'l' and 3s to 3d n'l' (both n'=3,...,6) and 2p(5) 3s 3l n'l'
(n'=3,4) capture channels. Finally, the experimental and theoretical plasma DR
rate coefficients for Si IV forming Si III are derived and compared with
previously available results.


title: The process gg->WW as a probe into the EWSB mechanism

abstract:
  We present the first estimate of the gluon-gluon fusion process, gg->4f, in
the high energy domain as a probe of the electroweak symmetry breaking
mechanism (EWSB). We consider the exact matrix element at
$O(\alpha_s\alpha_{em}^2)$, and we include all irreducible background coming
from qq->4f. Purely leptonic final states, pp->llvv, are numerically
investigated. We find that this channel is extremely sensitive to the regime of
the interaction between gauge bosons. It can thus be associated to the
traditionally used vector boson scattering (VBS) to improve the analysis of the
EWSB physics.


title:
Four-point functions of different-weight operators in the AdS/CFT
  correspondence

abstract:
  We calculate four-point correlation functions of two weight-2 and two
weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in
supergravity approximation. By the AdS/CFT conjecture, these operators are dual
to AdS supergravity scalar fields s_2 and s_3 with mass m^2 = -4 and m^2 = -3
respectively. This is the first non-trivial four-point function of mixed-weight
operators of lowest conformal dimensions.
  We show that the supergravity-induced four-point function splits into a
"free" and a "quantum" part, where the quantum contribution obeys non-trivial
constraints coming from the insertion procedure in the gauge theory, in
particular, it depends on only one function of the conformal cross-ratios.


title: Multiwavelength modeling of TeV AGN observed by HESS

abstract:
  The High Energy Stereoscopic System (H.E.S.S.) experiment, a ground-based
gamma-ray Cherenkov telescope array located in Namibia, has now detected many
extragalactic objects, which redshifts range from z=0.00183 up to z=0.2,
possibly more. With the increasing performances of Cherenkov telescopes, it now
becomes possible to probe these objects at small timescales in gamma-ray,
allowing the study of regions thought to be very close to the central
supermassive black holes. Furthermore, H.E.S.S. has confirmed a gamma-ray
emission from M87, which is thus the first extragalactic source seen at the TeV
range that is not a blazar.
  Among blazars, TeV BL Lacs are the most challenging objects to test the jet
emission models and to shed light on particle acceleration mechanisms. The
study of blazars with H.E.S.S. also revealed various temporal behaviors among
them. Some objects presents a highly variable X-ray flux with small variation
of the gamma-ray, while others show the inverse behavior. The interpretation of
such differences is puzzling.
  Observations at very high energies also bring indirect measurements of the
infrared extragalactic background light (EBL). The interpretation of gamma-ray
emission of radiogalaxies such as M87 in terms of misaligned blazars and the
understanding of the properties of the EBL represent new challenges brought by
H.E.S.S. observations of extragalactic sources.


title:
Feedback from the first stars and galaxies and its influence on
  structure formation

abstract:
  Once the first sources have formed, their mass deposition, energy injection
and emitted radiation can deeply affect the subsequent galaxy formation process
and influence the evolution of the IGM via a number of so-called feedback
effects. The word 'feedback' is by far one of the most used in modern
cosmology, where it is applied to a vast range of situations and astrophysical
objects. Generally speaking, the concept of feedback invokes a back reaction of
a process on itself or on the causes that have produced it. The character of
feedback can be either negative or positive. Here, I will review the present
status of investigation of the feedback effects from the first stars and
galaxies.


title: Diffractive Excitation in DIS and pp Collisions

abstract:
  We have in earlier papers presented an extension of Mueller's dipole cascade
model, which includes subleading effects from energy conservation and running
coupling as well as colour suppressed effects from pomeron loops via a ``dipole
swing''. The model was applied to describe the total cross sections in pp and
gamma*p collisions. In this paper we present a number of improvements of the
model, in particular related to the confinement mechanism. A consistent
treatment of dipole evolution and dipole--dipole interactions is achieved by
replacing the infinite range Coulomb potential by a screened potential, which
further improves the frame-independence of the model. We then apply the model
to elastic scattering and diffractive excitation, where we specifically study
the effects of different sources for fluctuations. In our formalism we can take
into account contributions from all different sources, from the dipole cascade
evolution, the dipole--dipole scattering, from the impact-parameter dependence,
and from the initial photon and proton wavefunctions. Good agreement is
obtained with data from the Tevatron and from HERA, and we also present some
predictions for the LHC.


title: On the Wu metric in unbounded domains

abstract:
  We discuss the properties of the Wu pseudometric and present counterexamples
for its upper semicontinuity that answers the question posed by Jarnicki and
Pflug. We also give formulae for the Wu pseudometric in elementary Reinhardt
domains.


title: Self-interacting polynomials

abstract:
  We introduce a class of dynamical systems of algebraic origin, consisting of
self-interacting irreducible polynomials over a field. A polynomial f is made
to act on a polynomial g by mapping the roots of g. This action identifies a
new polynomial h, as the minimal polynomial of the displaced roots. By allowing
several polynomials to act on one another, we obtain a self-interacting system
with a rich dynamics, which affords a fresh viewpoint on some algebraic
dynamical constructs. We identify the basic invariant sets, and study in some
detail the case of quadratic polynomials. We perform some experiments on
self-interacting polynomials over finite fields.


title:
On the Dipole Swing and the Search for Frame Independence in the Dipole
  Model

abstract:
  Small-x evolution in QCD is conveniently described by Mueller's dipole model
which, however, does not include saturation effects in a way consistent with
boost invariance. In this paper we first show that the recently studied zero
and one dimensional toy models exhibiting saturation and explicit boost
invariance can be interpreted in terms positive definite k-> k+1 dipole
vertices. Such k-> k+1 vertices can in the full model be generated by combining
the usual dipole splitting with k-1 simultaneous dipole swings. We show that,
for a system consisting of N dipoles, one needs to combine the dipole splitting
with at most N-1 simultaneous swings in order to generate all colour
correlations induced by the multiple dipole interactions.


title: The reflecting surface of the MAGIC-II Telescope

abstract:
  The MAGIC Collaboration is building a second telescope, MAGIC II, improving
the design of the current MAGIC Telescope. MAGIC II is being built at 85 m of
distance from MAGIC I, and will also feature a huge reflecting surface of ~240
m$^2$ of area. One of the improvement is the design for the mirror of MAGIC II,
that are lighter and larger, being square of 1 m of side and weighting around
15 kg. For the development and production of the new mirrors, two different
techniques, both reliable and affordable in price, were selected: the diamond
milling of aluminium surfaces and the cold slumping of thin glass panes. As
tests for the second one are still ongoing, we present a description of the
diamond milling technique, and its application and performance to the produced
mirrors.


title: Parallax and Luminosity Measurements of an L Subdwarf

abstract:
  We present the first parallax and luminosity measurements for an L subdwarf,
the sdL7 2MASS J05325346+8246465. Observations conducted over three years by
the USNO infrared astrometry program yield an astrometric distance of
26.7+/-1.2 pc and a proper motion of 2.6241+/-0.0018"/yr. Combined with
broadband spectral and photometric measurements, we determine a luminosity of
log(Lbol/Lsun) = -4.24+/-0.06 and Teff = 1730+/-90 K (the latter assuming an
age of 5-10 Gyr), comparable to mid-type L field dwarfs. Comparison of the
luminosity of 2MASS J05325346+8246465 to theoretical evolutionary models
indicates that its mass is just below the sustained hydrogen burning limit, and
is therefore a brown dwarf. Its kinematics indicate a ~110 Myr, retrograde
Galactic orbit which is both eccentric (3 <~ R <~ 8.5 kpc) and extends well
away from the plane (Delta_Z = +/-2 kpc), consistent with membership in the
inner halo population. The relatively bright J-band magnitude of 2MASS
J05325346+8246465 implies significantly reduced opacity in the 1.2 micron
region, consistent with inhibited condensate formation as previously proposed.
Its as yet unknown subsolar metallicity remains the primary limitation in
constraining its mass; determination of both parameters would provide a
powerful test of interior and evolutionary models for low-mass stars and brown
dwarfs.