title:
Charge Distributions in Transverse Coordinate Space and in Impact
  Parameter Space

abstract:
  We study the charge distributions of the valence quarks inside nucleon in the
transverse coordinate space, which is conjugate to the transverse momentum
space. We compare the results with the charge distributions in the impact
parameter space.


title: The bending of light and lensing in modified gravity

abstract:
  Our modified gravity theory (MOG) was used successfully in the past to
explain a range of astronomical and cosmological observations, including galaxy
rotation curves, the CMB acoustic peaks, and the galaxy mass power spectrum.
MOG was also used successfully to explain the unusual features of the Bullet
Cluster 1E0657-558 without exotic dark matter. In the present work, we derive
the relativistic equations of motion in the spherically symmetric field of a
point source in MOG and, in particular, we derive equations for light bending
and lensing. Our results also have broader applications in the case of extended
distributions of matter, and they can be used to validate the Bullet Cluster
results and provide a possible explanation for the merging clusters in Abell
520.


title: Distortions of the Helicoid

abstract:
  Colding and Minicozzi have shown that an embedded minimal disk
$0\in\Sigma\subset B_R$ in $\Real^3$ with large curvature at 0 looks like a
helicoid on the scale of $R$. Near 0, this can be sharpened: on the scale of
$|A|^{-1}(0)$, $\Sigma$ is close, in a Lipschitz sense, to a piece of a
helicoid. We use surfaces constructed by Colding and Minicozzi to see this
description cannot hold on the scale $R$.


title: Spectral Analysis of the Semi-relativistic Pauli-Fierz Hamiltonian

abstract:
  We consider a charged particle, spin 1/2, with relativistic kinetic energy
and minimally coupled to the quantized Maxwell field. Since the total momentum
is conserved, the Hamiltonian admits a fiber decomposition as $H(P)$, $P\in
\BbbR^3$. We study the spectrum of $H(P)$.
  In particular we prove that, for non-zero photon mass, the ground state is
exactly two-fold degenerate and separated by a gap, uniformly in $P$, from the
rest of the spectrum.


title:
Limits of families of Brieskorn lattices and compactified classifying
  spaces

abstract:
  We investigate variations of Brieskorn lattices over non-compact parameter
spaces, and discuss the corresponding limit objects on the boundary divisor. We
study the associated variation of twistors and the corresponding limit mixed
twistor structures. We construct a compact classifying space for regular
singular Brieskorn lattices and prove that its pure polarized part carries a
natural hermitian structure and that the induced distance makes it into a
complete metric space.


title: Transformation Optics and the Geometry of Light

abstract:
  Metamaterials are beginning to transform optics and microwave technology
thanks to their versatile properties that, in many cases, can be tailored
according to practical needs and desires. Although metamaterials are surely not
the answer to all engineering problems, they have inspired a series of
significant technological developments and also some imaginative research,
because they invite researchers and inventors to dream. Imagine there were no
practical limits on the electromagnetic properties of materials. What is
possible? And what is not? If there are no practical limits, what are the
fundamental limits? Such questions inspire taking a fresh look at the
foundations of optics and at connections between optics and other areas of
physics. In this article we discuss such a connection, the relationship between
optics and general relativity, or, expressed more precisely, between
geometrical ideas normally applied in general relativity and the propagation of
light, or electromagnetic waves in general, in materials. We also discuss how
this connection is applied: in invisibility devices, perfect lenses, the
optical Aharonov-Bohm effect of vortices and in analogues of the event horizon.


title:
Implications of the cosmic ray spectrum for the mass composition at the
  highest energies

abstract:
  The significant attenuation of the cosmic-ray flux above $\sim 5 10^{19}$ eV
suggests that the observed high-energy spectrum is shaped by the so-called GZK
effect. This interaction of ultra-high-energy cosmic rays (UHECRs) with the
ambient radiation fields also affects their composition. We review the effect
of photo-dissociation interactions on different nuclear species and analyze the
phenomenology of secondary proton production as a function of energy. We show
that, by itself, the UHECR spectrum does not constrain the cosmic-ray
composition at their extragalactic sources. While the propagated composition
(i.e., as observed at Earth) cannot contain significant amounts of intermediate
mass nuclei (say between He and Si), whatever the source composition, and while
it is vastly proton-dominated when protons are able to reach energies above
$10^{20}$ eV at the source, we show that the propagated composition can be
dominated by Fe and sub-Fe nuclei at the highest energies, either if the
sources are very strongly enriched in Fe nuclei (a rather improbable
situation), or if the accelerated protons have a maximum energy of a few
$10^{19}$ eV at the sources. We also show that in the latter cases, the
expected flux above $3 10^{20}$ eV is very much reduced compared to the case
when protons dominate in this energy range, both at the sources and at Earth.


title: Benchmark on neutron capture extracted from $(d,p)$ reactions

abstract:
  Direct neutron capture reactions play an important role in nuclear
astrophysics and applied physics. Since for most unstable short-lived nuclei it
is not possible to measure the $(n, \gamma)$ cross sections, $(d,p)$ reactions
have been used as an alternative indirect tool. We analyze simultaneously
$^{48}{\rm Ca}(d,p)^{49}{\rm Ca}$ at deuteron energies $2, 13, 19$ and 56 MeV
and the thermal $(n,\gamma)$ reaction at 25 meV. We include results for the
ground state and the first excited state of $^{49}$Ca. From the low-energy
$(d,p)$ reaction, the neutron asymptotic normalization coefficient (ANC) is
determined. Using this ANC, we extract the spectroscopic factor (SF) from the
higher energy $(d,p)$ data and the $(n, \gamma)$ data. The SF obtained through
the 56 MeV $(d,p)$ data are less accurate but consistent with those from the
thermal capture. We show that to have a similar dependence on the single
particle parameters as in the $(n, \gamma)$, the (d,p) reaction should be
measured at 30 MeV.


title: Statistical hadronization of charm: from FAIR to the LHC

abstract:
  We discuss the production of charmonium in nuclear collisions within the
framework of the statistical hadronization model. We demonstrate that the model
reproduces very well the availble data at RHIC. We provide predictions for the
LHC energy where, dependently on the charm production cross section, a
dramatically different behaviour of charmonium production as a function of
centrality might be expected. We extend our predictions for charm production
towards the threshold energies, where charm is expected to be measured at the
future FAIR facility.


title: Prym-Tyurin varieties using self-products of groups

abstract:
  Given Prym-Tyurin varieties of exponent $q$ with respect to a finite group
$G$, a subgroup $H$ and a set of rational irreducible representations of $G$
satisfying some additional properties, we construct a Prym-Tyurin variety of
exponent $[G:H]q$ in a natural way. We study an example of this result,
starting from the dihedral group $\mathbf{D}_p$ for any odd prime $p$. This
generalizes the construction of arXiv:math/0412103v2[math.AG] for $p=3$.
Finally, we compute the isogeny decomposition of the Jacobian of the curve
underlying the above mentioned example.


title: P3M algorithm for dipolar interactions

abstract:
  An extension to the P3M algorithm for electrostatic interactions is
presented, that allows to efficiently compute dipolar interactions in periodic
boundary conditions. Theoretical estimates for the root-mean square error of
the forces, torques and the energy are derived. The applicability of the
estimates is tested and confirmed in several numerical examples. A comparison
of the computational performance of the new algorithm to state-of-the-art
dipolar Ewald summation methods shows a performance crossover from the Ewald
method to the dipolar P3M method for as few as 300 dipolar particles. In larger
systems, the new algorithm represents a substantial improvement in performance
with respect to the dipolar standard Ewald method.


title:
LOLAS: an optical turbulence profiler in the atmospheric boundary layer
  with extreme altitude-resolution

abstract:
  We report the development and first results of an instrument called Low Layer
Scidar (LOLAS) which is aimed at the measurement of optical-turbulence profiles
in the atmospheric boundary layer with high altitude-resolution. The method is
based on the Generalized Scidar (GS) concept, but unlike the GS instruments
which need a 1- m or larger telescope, LOLAS is implemented on a dedicated
40-cm telescope, making it an independent instrument. The system is designed
for widely separated double-star targets, which enables the high
altitude-resolution. Using a 20000-separation double- star, we have obtained
turbulence profiles with unprecedented 12-m resolution. The system incorporates
necessary novel algorithms for autoguiding, autofocus and image stabilisation.
The results presented here were obtained at Mauna Kea Observatory. They show
LOLAS capabilities but cannot be considered as representative of the site. A
forthcoming paper will be devoted to the site characterisation. The instrument
was built as part of the Ground Layer Turbulence Monitoring Campaign on Mauna
Kea for Gemini Observatory.


title: Products of Jacobians as Prym-Tyurin varieties

abstract:
  Let $X_1, ..., X_m$ denote smooth projective curves of genus $g_i \geq 2$
over an algebraically closed field of characteristic 0 and let $n$ denote any
integer at least equal to $1+\max_{i=1}^m g_i$. We show that the product $JX_1
\times ... \times JX_m$ of the corresponding Jacobian varieties admits the
structure of a Prym-Tyurin variety of exponent $n^{m-1}$. This exponent is
considerably smaller than the exponent of the structure of a Prym-Tyurin
variety known to exist for an arbitrary principally polarized abelian variety.
Moreover it is given by explicit correspondences.


title:
Multi-jet production and transverse momentum dependent parton
  distributions

abstract:
  We study the impact of transverse-momentum dependent parton distributions on
detailed features of multi-jet final states, focusing on angular jet
correlations in DIS data.


title:
Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy
  Nuclei

abstract:
  The E1(T=1) isovector dipole giant resonance (GDR) in heavy and super-heavy
deformed nuclei is analyzed over a sample of 18 rare-earth nuclei, 4 actinides
and three chains of super-heavy elements (Z=102, 114 and 120). Basis of the
description is self-consistent separable RPA (SRPA) using the Skyrme force
SLy6. The self-consistent model well reproduces the experimental data (energies
and widths) in the rare-earth and actinide region. The trend of the resonance
peak energies follows the estimates from collective models, showing a bias to
the volume mode for the rare-earths isotopes and a mix of volume and surface
modes for actinides and super-heavy elements. The widths of the GDR are mainly
determined by the Landau fragmentation which in turn is found to be strongly
influenced by deformation. A deformation splitting of the GDR can contribute
about one third to the width and about 1 MeV further broadening can be
associated to mechanism beyond the mean-field description (escape, coupling
with complex configurations).


title: Relatively spectral morphisms and applications to K-theory

abstract:
  Spectral morphisms between Banach algebras are useful for comparing their
K-theory and their "noncommutative dimensions" as expressed by various notions
of stable ranks. In practice, one often encounters situations where the
spectral information is only known over a dense subalgebra. We investigate such
relatively spectral morphisms. We prove a relative version of the Density
Theorem regarding isomorphism in K-theory. We also solve Swan's problem for the
connected stable rank, in fact for an entire hierarchy of higher connected
stable ranks that we introduce.


title:
Testing general relativity with the multipole spectra of the SDSS
  luminous red galaxies

abstract:
  As a test of general relativity on cosmological scales, we measure the \gamma
parameter for the growth rate of density perturbations using the redshift-space
distortion of the luminous red galaxies in the Sloan Digital Sky Survey (SDSS).
Assuming the cosmological constant model, which matches the results of the WMAP
experiment, we find \gamma=0.62+1.8(\sigma_8-0.8) \pm 0.11 at 1-sigma
confidence level, which is consistent with the prediction of general
relativity, \gamma\simeq0.55\sim0.56. Rather high value of \sigma_8(\geq0.87)
is required to be consistent with the prediction of the cosmological DGP model,
\gamma\simeq0.68.


title: Environment Induced Bipartite Entanglement

abstract:
  Recently, a sufficient condition on the structure of the Kossakowski-Lindblad
master equation has been given such that the generated reduced dynamics of two
qubits results entangling for at least one among their initial separable pure
states. In this paper we study to which extent this condition is also
necessary. Further, we find sufficient conditions for bath-mediated
entanglement generation in higher dimensional bipartite open quantum systems.


title:
LABOCA and MAMBO-2 imaging of the dust ring of the Sombrero galaxy (NGC
  4594)

abstract:
  The Sombrero galaxy (NGC 4594) is an Sa galaxy with a symmetric dust ring. We
have used the Large APEX BOlometer CAmera (LABOCA) at 870 micron and the
MAx-Planck Millimeter BOlometer (MAMBO-2) at 1.2 mm to detect the dust ring for
the first time at submillimetre and millimetre wavelengths. We have constructed
a model of the galaxy to separate the active galactic nucleus (AGN) and dust
ring components. The ring radius at both 870 micron and 1.2 mm agrees well with
the radius determined from optical absorption and atomic gas studies. The
spectral energy distribution of the ring is well fitted by a single grey-body
with dust emissivity index beta=2 and a dust temperature T_d=18.4 K. The dust
mass of the ring is found to be 1.6\pm0.2x10^7Msun which, for a Galactic
gas-to-dust ratio, implies a gas mass that is consistent with measurements from
the literature.


title:
Vector-axialvector mixing in hot matter and its hadronic effective field
  theory description

abstract:
  We discuss the importance of the axialvector meson in chiral phase transition
at finite temperature. We show that there exists a significant contribution in
the vector spectral function from the axialvector meson through the
vector-axialvector mixing in hot matter.


title: The Equivalence of Two Graph Polynomials and a Symmetric Function

abstract:
  The U-polynomial, the polychromate and the symmetric function generalization
of the Tutte polynomial due to Stanley are known to be equivalent in the sense
that the coefficients of any one of them can be obtained as a function of the
coefficients of any other. The definition of each of these functions suggests a
natural way in which to generalize them which also captures Tutte's universal
V-functions as a specialization. We show that the equivalence remains true for
the extended functions thus answering a question raised by Dominic Welsh.


title:
Structure of quantum correlations in momentum space and off diagonal
  long range order in eta pairing and BCS states

abstract:
  The quantum states built with the eta paring mechanism i.e., eta pairing
states, were first introduced in the context of high temperature
superconductivity where they were recognized as important example of states
allowing for off-diagonal long-range order (ODLRO). In this paper we describe
the structure of the correlations present in these states when considered in
their momentum representation and we explore the relations between the quantum
bipartite/multipartite correlations exhibited in k space and the direct lattice
superconducting correlations. In particular, we show how the negativity between
paired momentum modes is directly related to the ODLRO. Moreover, we
investigate the dependence of the block entanglement on the choice of the modes
forming the block and on the ODLRO; consequently we determine the multipartite
content of the entanglement through the evaluation of the generalized "Meyer
Wallach" measure in the direct and reciprocal lattice. The determination of the
persistency of entanglement shows how the network of correlations depicted
exhibits a self-similar structure which is robust with respect to "local"
measurements. Finally, we recognize how a relation between the momentum-space
quantum correlations and the ODLRO can be established even in the case of BCS
states.


title: Non-Gaussianity from massless preheating

abstract:
  Preheating can convert superhorizon fluctuations of light scalar fields
present at the end of inflation into observable density perturbations. We show
in detail how lattice field theory simulations and the separate universes
approximation can be used to calculate these perturbations and make predictions
for the nonlinearity parameter fNL . We also present a simple approximation
scheme that can reproduce these results analytically. Applying these methods to
the massless preheating model, we determine the parameter values that are ruled
out by too high levels of non-Gaussianity.


title:
A Measurement of CP Asymmetry in b->sgamma using a Sum of Exclusive
  Final States

abstract:
  We perform a measurement of the CP asymmetry in b->sgamma decays using a
sample of 383 BB events collected by the BABAR detector at the PEP-II
asymmetric B factory. We reconstruct sixteen flavor-specific B decay modes
containing a high-energy photon and a hadronic system (Xs) containing an s
quark. We measure the \CP asymmetry to be -0.011+/- 0.030(stat)+/-0.014(syst)
for a photon energy threshold at 1.6 GeV and the hadronic system mass between
0.6 and 2.8 GeV/c2.


title:
Faraday rotation and polarization gradients in the jet of 3C~120:
  Interaction with the external medium and a helical magnetic field?

abstract:
  We present a sequence of 12 monthly polarimetric 15, 22, and 43 GHz VLBA
observations of the radio galaxy 3C 120 revealing a systematic presence of
gradients in Faraday rotation and degree of polarization across and along the
jet. The degree of polarization increases with distance from the core and
toward the jet edges, and has an asymmetric profile in which the northern side
of the jet is more highly polarized. The Faraday rotation measure is also
stratified across the jet width, with larger values for the southern side. We
find a localized region of high Faraday rotation measure superposed on this
structure between approximately 3 and 4 mas from the core, with a peak of about
6000 rad/m^2. Interaction of the jet with the external medium or a cloud would
explain the confined region of enhanced Faraday rotation, as well as the
stratification in degree of polarization and the flaring of superluminal knots
when crossing this region. The data are also consistent with a helical field in
a two-fluid jet model, consisting of an inner, emitting jet and a sheath
containing nonrelativistic electrons. However, this helical magnetic field
model cannot by itself explain the localized region of enhanced Faraday
rotation. The polarization electric vectors, predominantly perpendicular to the
jet axis once corrected for Faraday rotation, require a dominant component
parallel to the jet axis (in the frame of the emitting plasma) for the magnetic
field in the emitting region.


title:
Gyrotropic Bandgaps, Degeneracy Lifting and Selective Suppression of
  Bloch States in Photonic Systems

abstract:
  Birefringent magnetophotonic crystals are found to exhibit degeneracy
breaking for asymmetric contradirectional coupling in planar waveguides.
Fundamental to high-order local normal mode coupling leads to partially
overlapping gyrotropic bandgaps inside the Brillouin zone and partial
suppression of Bloch mode propagation. A large magneto-optically active
reorientation in polarization state is found for allowed Bloch modes at bandgap
edges.


title:
Second order chiral restoration phase transition at low temperatures in
  quarkyonic matter

abstract:
  In this Addendum to our recent paper, Phys. Rev. D 77, 054027 (2008), we
point out that a chiral restoration phase transition in a quarkyonic matter at
low temperatures is of second order within a manifestly confining and chirally
symmetric large $N_c$ model. This result is qualitatively different as compared
to NJL and NJL-like models that are not confining and might have some
implications for the existence or nonexistence of the critical end point in the
QCD phase diagram.


title: Projective Reeds-Shepp car on $S^2$ with quadratic cost

abstract:
  Fix two points $x,\bar{x}\in S^2$ and two directions (without orientation)
$\eta,\bar\eta$ of the velocities in these points. In this paper we are
interested to the problem of minimizing the cost $$ J[\gamma]=\int_0^T
g_{\gamma(t)}(\dot\gamma(t),\dot\gamma(t))+
  K^2_{\gamma(t)}g_{\gamma(t)}(\dot\gamma(t),\dot\gamma(t)) ~dt$$ along all
smooth curves starting from $x$ with direction $\eta$ and ending in $\bar{x}$
with direction $\bar\eta$. Here $g$ is the standard Riemannian metric on $S^2$
and $K_\gamma$ is the corresponding geodesic curvature.
  The interest of this problem comes from mechanics and geometry of vision. It
can be formulated as a sub-Riemannian problem on the lens space L(4,1).
  We compute the global solution for this problem: an interesting feature is
that some optimal geodesics present cusps. The cut locus is a stratification
with non trivial topology.


title: Fusion rules for quantum reflection groups

abstract:
  We find the fusion rules for the quantum analogues of the complex reflection
groups $H_n^s=\mathbb Z_s\wr S_n$. The irreducible representations can be
indexed by the elements of the free monoid $\mathbb N^{*s}$, and their tensor
products are given by formulae which remind the Clebsch-Gordan rules (which
appear at $s=1$).


title: NLO vector-boson production matched with shower in POWHEG

abstract:
  We present a next-to-leading-order calculation of W/Z production interfaced
to shower Monte Carlo, implemented according to the POWHEG method. Finite width
effects, Z/gamma interference and angular correlations of decay products are
included. A detailed comparison with MC@NLO and PYTHIA is carried out.


title: Decay $D^+ \to K^- \pi^+ \pi^+$: chiral symmetry and scalar resonances

abstract:
  The low-energy S-wave component of the decay $D^+ \to K^- \pi^+ \pi^+$ is
studied by means of a chiral SU(3)XSU(3) effective theory. As far as the
primary vertex is concerned, we allow for the possibility of either direct
production of three pseudoscalar mesons or a meson and a scalar resonance.
Special attention is paid to final state interactions associated with elastic
meson-meson scattering. The corresponding two-body amplitude is unitarized by
ressumming s-channel diagrams and can be expressed in terms of the usal phase
shifts $\delta$. This procedure preserves the chiral properties of the
amplitude at low-energies. Final state interactions also involve another phase
$\omega$, which describes intermediate two-meson propagation and is
theoretically unambiguous. This phase is absent in the K-matrix approximation.
Partial contributions to the decay amplitude involve a real term, another one
with phase $\delta$ and several others with phases $\delta+\omega$. Our main
result is a simple and almost model independent chiral generalization of the
usual Breit-Wigner expression, suited to be used in analyses of production data
involving scalar resonances.


title: Electron transfer dynamics using projected modes

abstract:
  For electron-phonon Hamiltonians with the couplings linear in the phonon
operators we construct a class of unitary transformations that separate the
normal modes into two groups. The modes in the first group interact with the
electronic degrees of freedom directly. The modes in the second group interact
directly only with the modes in the first group but not with the electronic
system. We show that for the $n$-level electronic system the minimum number of
modes in the first group is $n_s=(n^2+n-2)/2$. The separation of the normal
modes into two groups allows one to develop new approximation schemes. We apply
one of such schemes to study exitonic relaxation in a model semiconducting
molecular heterojuction.


title: Enveloping Actions for Partial Hopf Actions

abstract:
  Motivated by partial group actions on unital algebras, in this article we
extend many results obtained by Exel and Dokuchaev to the context of partial
actions of Hopf algebras, according to Caenepeel and Jansen. First, we
generalize the theorem about the existence of an enveloping action, also known
as the globalization theorem. Second, we construct a Morita context between the
partial smash product and the smash product related to the enveloping action.
Third, we dualize the globalization theorem to partial coactions and finally,
we define partial representations of Hopf algebras and show some results
relating partial actions and partial representations.


title: Doped orbitally-ordered systems: another case of phase separation

abstract:
  A possible mechanism of electronic phase separation in the systems with
orbital ordering is analyzed. We suggest a simple model taking into account an
interplay between the delocalization of charge carriers introduced by doping
and the cooperative ordering of local lattice distortions. The proposed
mechanism is quite similar to the double exchange usually invoked for
interpretation of phase separation in doped magnetic oxides like manganites,
but can be efficient even in the absence of any magnetic ordering. It is
demonstrated that the delocalized charge carriers favor the formation of
nanoscale inhomogeneities with the orbital structure different from that in the
undoped material. The directional character of orbitals leads to
inhomogeneities of different shapes and sizes.


title: Stratified Subcartesian Spaces

abstract:
  We show that, if the family \cal{O} of orbits of all vector fields on a
subcartesian space P is locally finite and each orbit in \cal{O} is locally
closed, then \cal{O} defines a smooth Whitney A stratification of P. We also
show that the stratification by orbit type of the space M/G of orbits of a
proper action of a Lie group G on a smooth manifold M is given by orbits of the
family of all vector fields on M/G.


title: Doubly Lopsided Mass Matrices from Supersymmetric SU(N) Unification

abstract:
  It is shown that in supersymmetric SU(N) models with N>5 the so-called doubly
lopsided mass matrix structure can emerge in a natural way. The non-trivial
flavor structure is entirely accounted for by the SU(N) gauge symmetry and
supersymmetry, without any flavor symmetry. The hierarchy among the families
results directly from a hierarchy of scales in the chain of breaking from
SU(N)to the Standard Model group. A simple SU(7) example is presented.


title: Nuclear diffractive structure functions at high energies

abstract:
  A future high-energy electron-ion collider would explore the non-linear
weakly-coupled regime of QCD, and test the Color Glass Condensate (CGC)
approach to high-energy scattering. Hard diffraction in deep inelastic
scattering off nuclei will provide many fundamental measurements. In this work,
the nuclear diffractive structure function F_{2,A}^D is predicted in the CGC
framework, and the features of nuclear enhancement and suppression are
discussed.


title:
On optimal wavelet bases for the realization of microcanonical cascade
  processes

abstract:
  Multiplicative cascades are often used to represent the structure of
multiscaling variables in many physical systems, specially turbulent flows. In
processes of this kind, these variables can be understood as the result of a
successive tranfer in cascade from large to small scales. For a given signal,
only its optimal wavelet basis can represent it in such a way that the cascade
relation between scales becomes explicit, i.e., it is geometrically achieved at
each point of the system. Finding such a basis is a data-demanding,
highly-complex task. In this paper we propose a formalism that allows to find
the optimal wavelet in an efficient, less data-demanding way. We confirm the
appropriateness of this approach by analyzing the results on synthetic signals
constructed with prescribed optimal bases. Although we show the validity of our
approach constrainted to given families of wavelets, it can be generalized for
a continuous unconstrainted search scheme.


title: Diffraction at HERA

abstract:
  Precision measurements of diffraction have been performed by the H1 and ZEUS
experiments at the HERA collider with high statistics for a wide kinematic
range of photon virtuality $Q^2$. The diffractive parton densities are
extracted by performing the NLO DGLAP QCD fits to diffractive data and can be
used to test QCD factorisation with diffractive final states.


title: Weak Lensing Probes of Modified Gravity

abstract:
  We study the effect of modifications to General Relativity on large scale
weak lensing observables. In particular, we consider three modified gravity
scenarios: f(R) gravity, the DGP model, and TeVeS theory. Weak lensing is
sensitive to the growth of structure and the relation between matter and
gravitational potentials, both of which will in general be affected by modified
gravity. Restricting ourselves to linear scales, we compare the predictions for
galaxy-shear and shear-shear correlations of each modified gravity cosmology to
those of an effective Dark Energy cosmology with the same expansion history. In
this way, the effects of modified gravity on the growth of perturbations are
separated from the expansion history. We also propose a test which isolates the
matter-potential relation from the growth factor and matter power spectrum. For
all three modified gravity models, the predictions for galaxy and shear
correlations will be discernible from those of Dark Energy with very high
significance in future weak lensing surveys. Furthermore, each model predicts a
measurably distinct scale dependence and redshift evolution of galaxy and shear
correlations, which can be traced back to the physical foundations of each
model. We show that the signal-to-noise for detecting signatures of modified
gravity is much higher for weak lensing observables as compared to the ISW
effect, measured via the galaxy-CMB cross-correlation.


title: Challenges facing holographic models of QCD

abstract:
  This paper, written in memory of Manoj Banerjee, takes a critical look at
holographic models of QCD focusing on ``practical'' models in which the five
dimensional theory is treated classically. A number of theoretical and
phenomenological challenges to the approach are discussed.


title: Scalings of Elliptic Flow for a Fluid at Finite Shear Viscosity

abstract:
  Within a parton cascade approach we investigate the scaling of the
differential elliptic flow $v_2(p_T)$ with eccentricity $\epsilon_x$ and system
size and its sensitivity to finite shear viscosity. We present calculations for
shear viscosity to entropy density ratio $\eta/s$ in the range from $1/4\pi$ up
to $1/\pi$, finding that the $v_2$ saturation value varies by about a factor 2.
Scaling of $v_2(p_T)/\epsilon_x$ is seen also for finite $\eta/s$ which
indicates that it does not prove a perfect hydrodynamical behavior, but is
compatible with a plasma at finite $\eta/s$. Introducing a suitable freeze-out
condition, we see a significant reduction of $v_2(p_T)$ especially at
intermediate $p_T$ and for more peripheral collisions. This causes a breaking
of the scaling for both $v_2(p_T)$ and the $p_T-$averaged $v_2$, while keeping
the scaling of $v_2(p_T)/\la v_2\ra$. This is in better agreement with the
experimental observations and shows as a first indication that the $\eta/s$
should be significantly lower than the pQCD estimates. We finally point out the
necessity to include the hadronization via coalescence for a definite
evaluation of $\eta/s$ from intermediate $p_T$ data.


title: An infrared ring around the magnetar SGR 1900+14

abstract:
  Magnetars are a special class of slowly rotating neutron stars with extremely
strong magnetic fields -- at least an order of magnitude larger than those of
the "normal" radio pulsars. The potential evolutionary links and differences
between these two types of objects are still unknown; recent studies, however,
have provided circumstantial evidence connecting magnetars with very massive
progenitor stars. Here we report the discovery of an infrared elliptical ring
or shell surrounding the magnetar SGR 1900+14. The appearance and energetics of
the ring are difficult to interpret within the framework of the progenitor's
stellar mass loss or the subsequent evolution of the supernova remnant. We
suggest instead that a dust-free cavity was produced in the magnetar
environment by the giant flare emitted by the source in August 1998.
Considering the total energy released in the flare, the theoretical
dust--destruction radius matches well with the observed dimensions of the ring.
We conclude that SGR 1900+14 is unambiguously associated with a cluster of
massive stars, thereby solidifying the link between magnetars and massive
stars.


title:
The electronic and transport properties of a molecular junction studied
  by an integrated piecewise thermal equilibrium approach

abstract:
  An integrated piecewise thermal equilibrium approach based on the
first-principles calculation method has been developed to calculate bias
dependent electronic structures and current- and differential
conductance-voltage characteristics of the gold-benzene-1,4-dithiol-gold
molecular junction. The calculated currents and differential conductance have
the same order of magnitude as experimental ones. An electron transfer was
found between the two electrodes when a bias is applied, which renders the two
electrodes to have different local electronic structures. It was also found
that when Au 5d electrons were treated as core electrons the calculated
currents were overestimated, which can be understood as an underestimate of the
Au-S covalent bonding and consequently the contact potential barrier and the
replacement of delocalized Au 5d carriers by more itinerant delocalized Au 6sp
carriers in the electrodes.


title:
Intersections of Schubert varieties and eigenvalue inequalities in an
  arbitrary finite factor

abstract:
  It is known that the eigenvalues of selfadjoint elements a,b,c with a+b+c=0
in the factor R^omega (ultrapower of the hyperfinite II1 factor) are
characterized by a system of inequalities analogous to the classical Horn
inequalities of linear algebra. We prove that these inequalities are in fact
true for elements of an arbitrary finite factor. A matricial (`complete') form
of this result is equivalent to an embedding question formulated by Connes.


title: "Dark Matter" in Accretion Disks

abstract:
  Using Spitzer Space Telescope photometric observations of the eclipsing,
interacting binary WZ Sge, we have discovered that the accretion disk is far
more complex than previously believed. Our 4.5 and 8 micron time series
observations reveal that the well known gaseous accretion disk is surrounded by
an asymmetric disk of dusty material with a radius approximately 15 times
larger than the gaseous disk. This dust ring contains only a small amount of
mass and is completely invisible at optical and near-IR wavelengths, hence
consisting of "dark matter". We have produced a model dust ring using 1 micron
spherical particles with a density of 3 g/cm$^3$ and with a temperature profile
ranging from 700-1500K. Our discovery about the accretion disk structure and
the presence of a larger, outer dust ring have great relevance for accretion
disks in general, including those in other interacting binary systems, pre-main
sequence stars, and active galaxies.


title: Thermodynamic systems as bosonic strings

abstract:
  We apply variational principles in the context of geometrothermodynamics. The
thermodynamic phase space ${\cal T}$ and the space of equilibrium states ${\cal
E}$ turn out to be described by Riemannian metrics which are invariant with
respect to Legendre transformations and satisfy the differential equations
following from the variation of a Nambu-Goto-like action. This implies that the
volume element of ${\cal E}$ is an extremal and that ${\cal E}$ and ${\cal T}$
are related by an embedding harmonic map.
  We explore the physical meaning of geodesic curves in ${\cal E}$ as
describing quasi-static processes that connect different equilibrium states. We
present a Legendre invariant metric which is flat (curved) in the case of an
ideal (van der Waals) gas and satisfies Nambu-Goto equations. The method is
used to derive some new solutions which could represent particular
thermodynamic systems.


title:
Viscosity and thermodynamic properties of QGP in relativistic heavy ion
  collisions

abstract:
  We study the viscosity and thermodynamic properties of QGP at RHIC by
employing the recently extracted equilibrium distribution functions from two
hot QCD equations of state of $O(g^5)$ and $O(g^6\ln(1/g))$ respectively. After
obtaining the temperature dependence of energy density, and entropy density, we
focus our attention on the determination of shear viscosity for a rapidly
expanding interacting plasma, as a function of temperature. We find that
interactions significantly decrease the shear viscosity. They decrease the
viscosity to entropy density ratio, $\eta/{\mathcal S}$ as well.


title: Production of electroweak gauge bosons in off-shell gluon-gluon fusion

abstract:
  We study the production of electroweak gauge bosons at high energies in the
framework of kt-factorization QCD approach. Contributions from the valence
quarks are calculated using the quark-gluon interaction and quark-antiquark
annihilation QCD subprocesses. The total and differential cross sections (as a
function of the transverse momentum and rapidity) are presented and the ratio
of cross sections for W and Z boson production is investigated. The
conservative error analysis is performed. In the numerical calculations two
different sets of unintegrated gluon distributions in the proton are used: the
one obtained from Ciafaloni-Catani-Fiorani-Marchesini evolution equation and
the other from Kimber-Martin-Ryskin prescription. Theoretical results are
compared with experimental data taken by the D0 and CDF collaborations at the
Tevatron. We demonstrate the importance of the quark component in parton
evolution in description of the experimental data. This component is very
significant also at the LHC energies.


title: Global convective cell formation in pair-ion plasmas

abstract:
  The global electrostatic mode in pair-ion plasmas is discussed for cylindric
geometry and for a radially inhomogeneous equilibrium density. In the case of a
Gaussian radial density profile, exact analytical eigen solutions are found in
terms of the Kummer confluent hypergeometric functions. The mode is identified
as a convective cell propagating in the poloidal and axial direction, having at
the same time a standing wave structure in the radial direction.


title:
Positivity, local smoothing, and Harnack inequalities for very fast
  diffusion equations

abstract:
  We investigate qualitative properties of local solutions $u(t,x)\ge 0$ to the
fast diffusion equation, $\partial_t u =\Delta (u^m)/m$ with $m<1$,
corresponding to general nonnegative initial data. Our main results are
quantitative positivity and boundedness estimates for locally defined solutions
in domains of the form $[0,T]\times\RR^d$. They combine into forms of new
Harnack inequalities that are typical of fast diffusion equations. Such results
are new for low $m$ in the so-called very fast diffusion range, precisely for
all $m\le m_c=(d-2)/d.$ The boundedness statements are true even for $m\le 0$,
while the positivity ones cannot be true in that range.


title: Thermodynamics of feedback controlled systems

abstract:
  We compute the entropy reduction in feedback controlled systems due to the
repeated operation of the controller. This was the lacking ingredient to
establish the thermodynamics of these systems, and in particular of Maxwell's
demons. We illustrate some of the consequences of our general results by
deriving the maximum work that can be extracted from isothermal feedback
controlled systems. As a case example, we finally study a simple system that
performs an isothermal information-fueled particle pumping.


title:
Error characterization in Quantum Information Processing: a protocol for
  analyzing spatial correlations and its experimental implementation

abstract:
  We present a protocol for error characterization and its experimental
implementation with 4 qubits in liquid state NMR. The method is designed to
retrieve information about spatial correlations and scales as $O(n^w)$, where
$w$ is the maximum number of qubits that have non-negligible interaction. We
discuss the practical aspects regarding accuracy and implementation.


title:
Spectroscopic parameters for 451 stars in the HARPS GTO planet search
  program. Stellar [Fe/H] and the frequency of exo-Neptunes

abstract:
  To understand the formation and evolution of solar-type stars in the solar
neighborhood, we need to measure their stellar parameters to high accuracy. We
present a catalogue of accurate stellar parameters for 451 stars that represent
the HARPS Guaranteed Time Observations (GTO) ``high precision'' sample.
Spectroscopic stellar parameters were measured using high signal-to-noise (S/N)
spectra acquired with the HARPS spectrograph. The spectroscopic analysis was
completed assuming LTE with a grid of Kurucz atmosphere models and the recent
ARES code for measuring line equivalent widths. We show that our results agree
well with those ones presented in the literature (for stars in common). We
present a useful calibration for the effective temperature as a function of the
index color B-V and [Fe/H]. We use our results to study the metallicity-planet
correlation, namely for very low mass planets. The results presented here
suggest that in contrast to their jovian couterparts, Neptune-like planets do
not form preferentially around metal-rich stars. The ratio of
jupiter-to-neptunes is also an increasing function of stellar metallicity.
These results are discussed in the context of the core-accretion model for
planet formation.


title:
Divergent four-point dynamic density correlation function of a glassy
  colloidal suspension: a diagrammatic approach

abstract:
  We use a recently derived diagrammatic formulation of the dynamics of
interacting Brownian particles [G. Szamel, J. Chem. Phys. 127, 084515 (2007)]
to study a four-point dynamic density correlation function. We re-sum a class
of diagrams which separate into two disconnected components upon cutting a
single propagator. The resulting formula for the four-point correlation
function can be expressed in terms of three-point functions closely related to
the three-point susceptibility introduced by Biroli et al. [Phys. Rev. Lett.
97, 195701 (2006)] and the standard two-point correlation function. The
four-point function has a structure very similar to that proposed by Berthier
and collaborators [Science 310, 1797 (2005), J. Chem. Phys. 126, 184503
(2007)]. It exhibits a small wave vector divergence at the mode-coupling
transition.


title: On the bound states of the Dirac equation in the extreme Kerr metric

abstract:
  We study the eigenvalues of the angular equation arising after the separation
of the Dirac equation in the extreme Kerr metric. To this purpose a
self-adjoint holomorphic operator family associated to this eigenvalue problem
is considered. We show that the eigenvalues satisfy a first order nonlinear
differential equation with respect to the black hole mass and we solve it.
Finally, we prove that there exist no bound states for the Dirac equation in
the aforementioned metric.


title: New topological recursion relations

abstract:
  Simple boundary expressions for the k-th power of the cotangent line class on
the moduli space of stable 1-pointed genus g curves are found for k >= 2g. The
method is by virtual localization on the moduli space of maps to the projective
line. As a consequence, nontrivial tautological classes in the kernel of the
push-forward map associated to the irreducible boundary divisor of the moduli
space of stable g+1 curves are constructed. The geometry of genus g+1 curves
then provides universal equations in genus g Gromov-Witten theory. As an
application, we prove all the Gromov-Witten identities conjectured recently by
K. Liu and H. Xu.


title: Electroweak Measurements from HERA

abstract:
  New preliminary electroweak results from the HERA lepton-proton collider
experiments H1 and ZEUS are presented. These include new high Q^2 neutral
current cross section measurements and limits on a possible quark radius, in
the search for contact interactions, and on the quark-Z couplings, extracted in
combined electroweak and QCD fits. Furthermore, new charged current cross
section measurements as a function of the lepton-beam polarisation are
presented, as well as charged current measurement results, using the combined
HERA I data from H1 and ZEUS. Finally, measurements of the single W boson
production cross section and the W boson polarisation fractions are presented.


title:
Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard
  model

abstract:
  Using recent advances in auxiliary-field quantum Monte Carlo techniques and
the phaseless approximation to control the sign/phase problem, we determine the
equation of state in the ground state of the two-dimensional repulsive
single-band Hubbard model at intermediate interactions. Shell effects are
eliminated and finite-size effects are greatly reduced by boundary condition
integration. Spin-spin correlation functions and structure factors are also
calculated. In lattice sizes up to $16\times 16$, the results show signal for
phase-separation. Upon doping, the system separates into one phase of density
$n=1$ (hole-free) and the other at density $n_c$ ($\sim 0.9$). The long-range
antiferromagnetic order is coupled to this process, and is lost below $n_c$.


title: Leading Singularities of the Two-Loop Six-Particle MHV Amplitude

abstract:
  We use the leading singularity technique to determine the planar six-particle
two-loop MHV amplitude in N=4 super Yang-Mills in terms of a simple basis of
integrals. Our result for the parity even part of the amplitude agrees with the
one recently presented in arXiv:0803.1465. The parity-odd part of the amplitude
is a new result. The leading singularity technique reduces the determination of
the amplitude to finding the solution to a system of linear equations. The
system of equations is easily found by computing residues. We present the
complete system of equations which determines the whole amplitude, and solve
the two-by-two blocks analytically. Larger blocks are solved numerically in
order to test the ABDK/BDS iterative structure.


title:
Design and Electronics Commissioning of the Physics Prototype of a Si-W
  Electromagnetic Calorimeter for the International Linear Collider

abstract:
  The CALICE collaboration is studying the design of high performance
electromagnetic and hadronic calorimeters for future International Linear
Collider detectors. For the electromagnetic calorimeter, the current baseline
choice is a high granularity sampling calorimeter with tungsten as absorber and
silicon detectors as sensitive material. A ``physics prototype'' has been
constructed, consisting of thirty sensitive layers. Each layer has an active
area of 18x18 cm2 and a pad size of 1x1 cm2. The absorber thickness totals 24
radiation lengths. It has been exposed in 2006 and 2007 to electron and hadron
beams at the DESY and CERN beam test facilities, using a wide range of beam
energies and incidence angles. In this paper, the prototype and the data
acquisition chain are described and a summary of the data taken in the 2006
beam tests is presented. The methods used to subtract the pedestals and
calibrate the detector are detailed. The signal-over-noise ratio has been
measured at 7.63 +/- 0.01. Some electronics features have been observed; these
lead to coherent noise and crosstalk between pads, and also crosstalk between
sensitive and passive areas. The performance achieved in terms of uniformity
and stability is presented.


title: Loebl-Komlos-Sos Conjecture: dense case

abstract:
  We prove a version of the Loebl-Komlos-Sos Conjecture for dense graphs. For
each q>0 there exists a number $n_0\in \mathbb{N}$ such that for any n>n_0 and
k>qn the following holds: if G be a graph of order n with at least n/2 vertices
of degree at least k, then any tree of order k+1 is a subgraph of G.


title: Associativity of the Commutator Operation in Groups

abstract:
  The study of associativity of the commutator operation in groups goes back to
some work of Levi in 1942. In the 1960's Richard J. Thompson created a group F
whose elements are representatives of the generalized associative law for an
arbitrary binary operation. In 2006, Geoghegan and Guzman proved that a group G
is solvable if and only if the commutator operation in G eventually satisfies
ALL instances of the associative law, and also showed that many non-solvable
groups do not satisfy any instance of the generalized associative law. We will
address the question: Is there a non-solvable group which satisfies SOME
instance of the generalized associative law? For finite groups, we prove that
the answer is no.


title: The shortest period field contact binary

abstract:
  Photometric and spectroscopic results for the contact binary GSC 01387-00475
(ASAS 083128+1953.1) are presented. The existence of this binary with the
orbital period of P = 0.2178 d strengthens the argument that the cut-off of the
period distribution for contact binaries - until now defined by CC Comae - is
very sharp. The only case of a still shorter period is known in a globular
cluster where more compact contact configurations are in fact expected. While
the spectroscopic orbit of GSC 01387-00475 is well defined, the low orbital
inclination of the binary and the presence of a spectroscopic companion
contributing about 1/3 of the total light conspire to reduce the photometric
variability to ~0.09 mag. The photometric data are currently inadequate to
identify the source of the small amplitude (0.02 - 0.03 mag) intrinsic
variability of the system.


title: Type IIB Flux Vacua at Large Complex Structure

abstract:
  We study models of stabilization near large complex structure in type IIB
O3/O7 flux compactifications. We consider a special family of examples with a
single nonvanishing Yukawa coupling in the large complex structure limit, which
allows us to study all possible stable vacua of the tree-level no-scale
potential very explicitly. We find that, by tuning fluxes, both supersymmetric
and nonsupersymmetric vacua can be realized at almost any point in the large
complex structure moduli space of one-, two-, and three-parameter models. We
also consider the effects of stringy corrections on tree-level vacua. We argue
quite generally that, in certain regimes, both supersymmetric and
nonsupersymmetric tree-level vacua could serve as consistent, controllable
foundations for full stabilization beyond tree level (including Kahler moduli),
leading to either AdS or dS cosmological constants. We show how to achieve
these regimes in our models. Finally, we discuss some implications of
minimizing at tree level the no-scale form of the scalar potential, versus
other potentials used in statistical studies.


title:
Renormalization group theory of nematic ordering in d-wave
  superconductors

abstract:
  We examine the quantum theory of the spontaneous breaking of lattice rotation
symmetry in d-wave superconductors on the square lattice. This is described by
a field theory of an Ising nematic order parameter coupled to the gapless
fermionic quasiparticles. We determine the structure of the renormalization
group to all orders in a 1/N_f expansion, where N_f is the number of fermion
spin components. Asymptotically exact results are obtained for the quantum
critical theory in which, as in the large N_f theory, the nematic order has a
large anomalous dimension, and the fermion spectral functions are highly
anisotropic.


title: Theoretical developments in heavy and light flavor energy loss

abstract:
  Recent developments in the many-body perturbative QCD theory of inelastic
parton interactions in dense nuclear matter and the phenomenology of
strongly-interacting hard probes in heavy ion collisions are reviewed. We
highlight the progress that has been made toward consistent comparison between
radiative and collisional energy loss, the exploration of novel heavy flavor
suppression mechanisms in the quark-gluon plasma, and the determination of the
stopping power of cold nuclear matter. Future directions and opportunities for
jet physics in nuclear collisions, enabled by the unprecedentedly high center
of mass energies at the LHC, are also discussed. We propose that the physics of
jet shapes and a generalizations of the well-understood inclusive particle
suppression in the QGP will provide a new differential, and accurate test of
the underlying QCD theory and a new precision tool for jet tomography at the
LHC.


title:
Low Dimensional Behavior of Large Systems of Globally Coupled
  Oscillators

abstract:
  It is shown that, in the infinite size limit, certain systems of globally
coupled phase oscillators display low dimensional dynamics. In particular, we
derive an explicit finite set of nonlinear ordinary differential equations for
the macroscopic evolution of the systems considered. For example, an exact,
closed form solution for the nonlinear time evolution of the Kuramoto problem
with a Lorentzian oscillator frequency distribution function is obtained. Low
dimensional behavior is also demonstrated for several prototypical extensions
of the Kuramoto model, and time-delayed coupling is also considered.


title: Quantum oscillations of ortho-II YBa_2Cu_3O_6.5

abstract:
  Motivated by quantum oscillations observed in highly ordered ortho-II
YBa_2Cu_3O_6.5, we study the Fermi surface topology of d-density wave (ddw) or
antiferromagnetic (AF) ordering in the presence of the ortho-II potential. We
find that the electron pocket is unaffected by the presence of the ortho-II
potential. This further strengthens the proposal that quantum oscillations
observed in ortho-II-free YBa_2Cu_4O_8 arise from an electron pocket. On the
other hand, the hole pocket topology is sensitive to the ortho-II potential. We
show there exist generically three distinct quantum oscillations associated
with one electron-like and two hole-like Fermi pockets. We compare our results
to the quantum oscillations observed in experiments. We discuss possible ways
to distinguish between ddw and antiferromagnetic orders in a potential
single-layer ortho-II material.


title: Forced Fluid Dynamics from Gravity

abstract:
  We generalise the computations of arXiv:0712.2456 to generate long
wavelength, asymptotically locally AdS_5 solutions to the Einstein-dilaton
system with a slowly varying boundary dilaton field and a weakly curved
boundary metric. Upon demanding regularity, our solutions are dual, under the
AdS/CFT correspondence, to arbitrary fluid flows in the boundary theory
formulated on a weakly curved manifold with a prescribed slowly varying
coupling constant. These solutions turn out to be parametrised by four-velocity
and temperature fields that are constrained to obey the boundary covariant
Navier Stokes equations with a dilaton dependent forcing term. We explicitly
evaluate the stress tensor and Lagrangian as a function of the velocity,
temperature, coupling constant and curvature fields, to second order in the
derivative expansion and demonstrate the Weyl covariance of these expressions.
We also construct the event horizon of the dual solutions to second order in
the derivative expansion, and use the area form on this event horizon to
construct an entropy current for the dual fluid. As a check of our
constructions we expand the exactly known solutions for rotating black holes in
global AdS_5 in a boundary derivative expansion and find perfect agreement with
all our results upto second order. We also find other simple solutions of the
forced fluid mechanics equations and discuss their bulk interpretation. Our
results may aid in determining a bulk dual to forced flows exhibiting steady
state turbulence.


title: Baryon acoustic signature in the clustering of density maxima

abstract:
  We reexamine the two-point correlation of density maxima in Gaussian initial
conditions. Spatial derivatives of the linear density correlation, which were
ignored in the calculation of Bardeen, Bond, Kaiser & Szalay (1986), are
included in our analysis. These functions exhibit large oscillations around the
sound horizon scale for generic CDM power spectra. We derive the exact
leading-order expression for the correlation of density peaks and demonstrate
the contribution of those spatial derivatives. In particular, we show that
these functions can modify significantly the baryon acoustic signature of
density maxima relative to that of the linear density field. The effect depends
upon the exact value of the peak height, the filter shape and size, and the
small-scale behaviour of the transfer function. In the LambdaCDM cosmology, for
maxima identified in the density field smoothed at mass scale M\approx
10^{12}-10^{14}M_sun/h and with linear threshold height \nu=1.673/\sigma(M),
the contrast of the BAO can be a few tens of percent larger than in the linear
matter correlation. Overall, the BAO is amplified (damped) for threshold
heights larger (less) than unity. Density maxima thus behave quite differently
than linearly biased tracers of the density field, whose acoustic signature is
a simple scaled version of the linear baryon acoustic oscillation. We also
calculate the mean streaming of peak pairs in the quasi-linear regime. We show
that the leading-order 2-point correlation and pairwise velocity of density
peaks are consistent with a nonlinear, local biasing relation involving
gradients of the density field. Biasing will be an important issue in
ascertaining how much of the enhancement of the BAO in the primeval correlation
of density maxima propagates into the late-time clustering of galaxies.


title: Pairs of periodic orbits with fixed homology difference

abstract:
  We obtain an asymptotic formula for the number of pairs of closed orbits of a
weak-mixing transitive Anosov flow whose homology classes have a fixed
difference.


title: Cluster Geometry & Inclinations from Deprojection Uncertainties

abstract:
  {The determination of cluster masses is a complex problem that would be aided
by information about the cluster shape and orientation (along the
line-of-sight).} {It is in this context, that we have developed a scheme for
identifying the intrinsic morphology and inclination of a cluster, by looking
for the signature of the true cluster characteristics in the inter-comparison
of the different deprojected emissivity profiles (that all project to the same
X-ray brightness distribution) and by using SZe data when available.} {We
deproject the cluster X-ray surface brightness profile under the assumptions of
four different geometry and inclination configurations for the observed system;
these 4 configurations correspond to four extreme geometry+inclination
scenarios. The deprojection in question is performed by the non-parametric
algorithm DOPING. The formalism is tested with model systems and then is
applied to a sample of 24 clusters. While the shape determination is possible
by implementing the X-ray brightness alone, the estimation of the inclination
is usually markedly improved by the usage of SZe data that is available for the
considered sample.}{We spot 8 prolate systems, 1 oblate and 15 of the clusters
in our sample as triaxial. In fact, for systems identified as triaxial, we are
able to discern how the three semi-axes lengths compare with each other. This,
when compounded by the information about the line-of-sight extent, allows us to
constrain the inclination quite tightly and offers the two intrinsic axial
ratios of the triaxial systems.}{}


title: A symplectic map between hyperbolic and complex Teichm\"uller theory

abstract:
  Let $S$ be a closed, orientable surface of genus at least 2. The cotangent
bundle of the "hyperbolic'' Teichm\"uller space of $S$ can be identified with
the space $\CP$ of complex projective structures on $S$ through measured
laminations, while the cotangent bundle of the "complex'' Teichm\"uller space
can be identified with $\CP$ through the Schwarzian derivative. We prove that
the resulting map between the two cotangent spaces, although not smooth, is
symplectic. The proof uses a variant of the renormalized volume defined for
hyperbolic ends.


title: Liquid Noble gases for Dark Matter searches: a synoptic survey

abstract:
  A technical and methodological comparison of the liquid noble gas experiments
is presented and the low energy physics application of double phase noble gas
detectors in direct Dark Matter investigations is discussed.


title:
An Improved Bandstrength Index for the CH G Band of Globular Cluster
  Giants

abstract:
  Spectral indices are useful tools for quantifying the strengths of features
in moderate-resolution spectra and relating them to intrinsic stellar
parameters. This paper focuses on the 4300AA CH G-band, a classic example of a
feature interpreted through use of spectral indices. G-band index definitions,
as applied to globular clusters of different metallicity, abound in the
literature, and transformations between the various systems, or comparisons
between different authors' work, are difficult and not always useful. We
present a method for formulating an optimized G-band index, using a large grid
of synthetic spectra. To make our new index a reliable measure of carbon
abundance, we minimize its dependence on [N/Fe] and simultaneously maximize its
sensitivity to [C/Fe]. We present a definition for the new index S2(CH), along
with estimates of the errors inherent in using it for [C/Fe] determination, and
conclude that it is valid for use with spectra of bright globular cluster red
giants over a large range in [Fe/H], [C/Fe], and [N/Fe].


title: Lattice four-dimensional N=4 SYM is practical

abstract:
  We show that nonperturbative lattice studies of four-dimensional N=4
Super-Yang-Mills are within reach. We use Ginsparg-Wilson fermions to avoid
gluino masses and an exact implementation of the (chiral) $R$-symmetry, which
greatly limits the number of counterterms that must be fine-tuned. Only bosonic
operators require fine tuning, so all tunings can be done ``offline'' by a
Ferrenberg-Swendsen type reweighting. We show what measurables can be used to
perform the tuning.


title: Local Hawking temperature for dynamical black holes

abstract:
  A local Hawking temperature is derived for any future outer trapping horizon
in spherical symmetry, using a Hamilton-Jacobi variant of the Parikh-Wilczek
tunneling method. It is given by a dynamical surface gravity as defined
geometrically. The operational meaning of the temperature is that Kodama
observers just outside the horizon measure an invariantly redshifted
temperature, diverging at the horizon itself. In static, asymptotically flat
cases, the Hawking temperature as usually defined by the Killing vector agrees
in standard cases, but generally differs by a relative redshift factor between
the horizon and infinity, being the temperature measured by static observers at
infinity. Likewise, the geometrical surface gravity reduces to the Newtonian
surface gravity in the Newtonian limit, while the Killing definition instead
reflects measurements at infinity. This may resolve a longstanding puzzle
concerning the Hawking temperature for the extremal limit of the charged
stringy black hole, namely that it is the local temperature which vanishes. In
general, this confirms the quasi-stationary picture of black-hole evaporation
in early stages. However, the geometrical surface gravity is generally not the
surface gravity of a static black hole with the same parameters.


title: Discovery of a widely separated UCD-WD binary

abstract:
  We present the discovery of the widest known ultracool dwarf - white dwarf
binary. This binary is the first spectroscopically confirmed widely separated
system from our target sample. We have used the 2MASS and SuperCOSMOS archives
in the southern hemisphere, searching for very widely separated ultracool dwarf
- white dwarf dwarf binaries, and find one common proper motion system, with a
separation of 3650-5250AU at an estimated distance of 41-59pc, making it the
widest known system of this type. Spectroscopy reveals 2MASS J0030-3740 is a DA
white dwarf with Teff=7600+/-100K, log(g)=7.79-8.09 and M(WD)=0.48-0.65Msun. We
spectroscopically type the ultracool dwarf companion (2MASS J0030-3739) as
M9+/-1 and estimate a mass of 0.07-0.08Msun, Teff=2000-2400K and
log(g)=5.30-5.35, placing it near the mass limit for brown dwarfs. We estimate
the age of the system to be >1.94Gyrs (from the white dwarf cooling age and the
likely length of the main sequence lifetime of the progenitor) and suggest that
this system and other such wide binaries can be used as benchmark ultracool
dwarfs.


title: On uniqueness of stationary vacuum black holes

abstract:
  We prove uniqueness of the Kerr black holes within the connected,
non-degenerate, analytic class of regular vacuum black holes.


title: On the non-persistence of Hamiltonian identity cycles

abstract:
  We study the leading term of the holonomy map of a perturbed plane polynomial
Hamiltonian foliation. The non-vanishing of this term implies the
non-persistence of the corresponding Hamiltonian identity cycle. We prove that
this does happen for generic perturbations and cycles, as well for cycles which
are commutators in Hamiltonian foliations of degree two. Our approach relies on
the Chen's theory of iterated path integrals which we briefly resume.


title: The Luminosity Dependence of the Galaxy Merger Rate

abstract:
  We measure the number of companions per galaxy (Nc) as a function of r-band
absolute magnitude for both the Sloan Digital Sky Survey and the Croton et al.
(2006) semi-analytic catalog applied to the Millennium Run simulation. For
close pairs with projected separations of 5-20 h^{-1} kpc, velocity differences
less than 500 km/s, and luminosity ratios between 1:2 and 2:1, we find good
agreement between the observations and simulations, with Nc consistently close
to 0.02 over the range -22 < M_r < -18. For larger pair separations, Nc(M_r)
instead becomes increasingly steep towards the faint end, implying that
luminosity-dependent clustering plays an important role on small scales. Using
the simulations to assess and correct for projection effects, we infer that the
real-space Nc(M_r) for close pairs peaks at about M*, and declines by at least
a factor of two as M_r becomes fainter. Conversely, by measuring the number
density of close companions, we estimate that at least 90% of all major mergers
occur between galaxies which are fainter than L*. Finally, measurements of the
luminosity density of close companions indicate that L* galaxies likely
dominate in terms of the overall importance of major mergers in the evolution
of galaxy populations at low redshift.


title: Time-resolved Dynamics of the Spin Hall Effect

abstract:
  The generation and manipulation of carrier spin polarization in
semiconductors solely by electric fields has garnered significant attention as
both an interesting manifestation of spin-orbit physics as well as a valuable
capability for potential spintronics devices. One realization of these
spin-orbit phenomena, the spin Hall effect (SHE), has been studied as a means
of all-electrical spin current generation and spin separation in both
semiconductor and metallic systems. Previous measurements of the spin Hall
effect have focused on steady-state generation and time-averaged detection,
without directly addressing the accumulation dynamics on the timescale of the
spin coherence time. Here, we demonstrate time-resolved measurement of the
dynamics of spin accumulation generated by the extrinsic spin Hall effect in a
doped GaAs semiconductor channel. Using electrically-pumped time-resolved Kerr
rotation, we image the accumulation, precession, and decay dynamics near the
channel boundary with spatial and temporal resolution and identify multiple
evolution time constants. We model these processes using time-dependent
diffusion analysis utilizing both exact and numerical solution techniques and
find that the underlying physical spin coherence time differs from the
dynamical rates of spin accumulation and decay observed near the sample edges.


title:
Algebraic Graph Theory (a short course for postgraduate students and
  researchers)

abstract: This submission has been withdrawn by arXiv administration.


title: Isoperimetry and symmetrization for logarithmic Sobolev inequalities

abstract:
  Using isoperimetry and symmetrization we provide a unified framework to study
the classical and logarithmic Sobolev inequalities. In particular, we obtain
new Gaussian symmetrization inequalities and connect them with logarithmic
Sobolev inequalities. Our methods are very general and can be easily adapted to
more general contexts.


title:
Langevin dynamics in crossed magnetic and electric fields: Hall and
  diamagnetic fluctuations

abstract:
  Based on the classical Langevin equation, we have re-visited the problem of
orbital motion of a charged particle in two dimensions for a normal magnetic
field crossed with or without an in-plane electric bias. We are led to two
interesting fluctuation effects: First, we obtain not only a longitudinal
"work-fluctuation" relation as expected for a barotropic type system, but also
a transverse work-fluctuation relation perpendicular to the electric bias. This
"Hall fluctuation" involves the product of the electric and the magnetic
fields. And second, for the case of harmonic confinement without bias, the
calculated probability density for the orbital magnetic moment gives non-zero
even moments, not derivable as field derivatives of the classical free energy.


title: Strategies to Identify Boosted Tops

abstract:
  We study techniques for identifying highly boosted top jets, where the
subsequent top decay products are not isolated. For hadronic boosted tops, we
consider variables which probe the jet substructure in order to reduce the
background from QCD jets with large invariant mass. Substructure variables
related to two-body kinematics are least sensitive to the modeling of parton
shower, while those which involve multi-body kinematics may still have
discrimination power. For leptonic boosted tops, we consider variables which
characterize the separation between the lepton--although not isolated by
conventional criterion--and the hadronic activity in the top jet. Such
variables are useful in reducing the backgrounds both from heavy-flavor jets
and from accidental jet-lepton overlap. We give numerical estimates of the top
identification efficiency versus background rejection rate as a functions of
cuts on these variables, and find that these variables offer additional useful
information above invariant mass alone.


title:
Orbifold Singularities, Lie Algebras of the Third Kind (LATKes), and
  Pure Yang-Mills with Matter

abstract:
  We discover the unique, simple Lie Algebra of the Third Kind, or LATKe, that
stems from codimension 6 orbifold singularities and gives rise to a kind of
Yang-Mills theory which simultaneously is pure and contains matter. The root
space of the LATKe is 1-dimensional and its Dynkin diagram consists of one
point. The uniqueness of the LATKe is a vacuum selection mechanism.


title:
A Low-Mass Planet with a Possible Sub-Stellar-Mass Host in Microlensing
  Event MOA-2007-BLG-192

abstract:
  We report the detection of an extrasolar planet of mass ratio q ~ 2 x 10^(-4)
in microlensing event MOA-2007-BLG-192. The best fit microlensing model shows
both the microlensing parallax and finite source effects, and these can be
combined to obtain the lens masses of M = 0.060 (+0.028 -0.021) M_sun for the
primary and m = 3.3 (+4.9 -1.6) M_earth for the planet. However, the
observational coverage of the planetary deviation is sparse and incomplete, and
the radius of the source was estimated without the benefit of a source star
color measurement. As a result, the 2-sigma limits on the mass ratio and finite
source measurements are weak. Nevertheless, the microlensing parallax signal
clearly favors a sub-stellar mass planetary host, and the measurement of finite
source effects in the light curve supports this conclusion. Adaptive optics
images taken with the Very Large Telescope (VLT) NACO instrument are consistent
with a lens star that is either a brown dwarf or a star at the bottom of the
main sequence. Follow-up VLT and/or Hubble Space Telescope (HST) observations
will either confirm that the primary is a brown dwarf or detect the low-mass
lens star and enable a precise determination of its mass. In either case, the
lens star, MOA-2007-BLG-192L, is the lowest mass primary known to have a
companion with a planetary mass ratio, and the planet, MOA-2007-BLG-192Lb, is
probably the lowest mass exoplanet found to date, aside from the lowest mass
pulsar planet.


title: The "minimal" viscosity and elliptic flow at RHIC

abstract:
  We show from covariant transport theory that, for a massless ideal gas
equation of state, even a small shear viscosity to entropy density ratio $\eta
\approx s/(4 \pi)$ generates significant 15-30% dissipative corrections to
elliptic flow for conditions expected in mid-peripheral (b = 8 fm) Au+Au
collisions at $\sqrt{s_{NN}} \sim 200$ GeV at RHIC.


title:
Local Density of States for Individual Energy Levels in Finite Quantum
  Wires

abstract:
  The local density of states (LDOS) in finite quantum wires is calculated as a
function of discrete energies and position along the wire. By using a
combination of numerical density matrix renormalization group (DMRG)
calculations and analytical bosonization techniques it is possible to obtain a
good understanding of the local spectral weights along the wire in terms of the
underlying many-body excitations.


title: Quantum spherical spin-glass with random short-range interactions

abstract:
  In the present paper we analyze the critical properties of a quantum
spherical spin glass model with short range, random interactions. Since the
model allows for rigorous detailed calculations, we can show how the effective
partition function calculated with help of the replica method for the spin
glass fluctuating fields separates into a mean field contribution for the
replica diagonal fields and a strictly short range partition function for the
replica off-diagonal fields. The mean field part coincides with previous
results. The short range part describes a phase transition in a Q^3-field
theory, where the fluctuating fields depend on a space variable and two
independent time variables.This we analyze using the renormalization group with
dimensional regularization and minimal subtraction of dimensional poles. By
generalizing standard field theory methods to our particular situation, we can
identify the critical dimensionality as d_c = 5 at very low temperatures due to
the dimensionality shift D_c = d_c + 1. we then perform a \epsilon' expansion
to order one loop to calculate the critical exponents by solving the
renormalization group equations.


title:
Probe for the strong parity violation effects at RHIC with three
  particle correlations

abstract:
  In non-central relativistic heavy ion collisions, \P-odd domains, which might
be created in the process of the collision, are predicted to lead to charge
separation along the system orbital momentum \cite{Kharzeev:2004ey}. An
observable, \P-even, but directly sensitive to the charge separation effect,
has been proposed in \cite{Voloshin:2004vk} and is based on 3-particle mixed
harmonics azimuthal correlations. We report the STAR measurements using this
observable for Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}}$=200 and 62 GeV.
The results are reported as function of collision centrality, particle
separation in rapidity, and particle transverse momentum. Effects that are not
related to parity violation but might contribute to the signal are discussed.


title: Turbulence and Holography

abstract:
  We examine the interplay between recent advances in quantum gravity and the
problem of turbulence. In particular, we argue that in the gravitational
context the phenomenon of turbulence is intimately related to the properties of
spacetime foam. In this framework we discuss the relation of turbulence and
holography and the interpretation of the Kolmogorov scaling in the quantum
gravitational setting.


title: Successors of Singular Cardinals and Coloring Theorems II

abstract:
  We investigate negative square-brackets partition relations at successors of
singular cardinals of countable cofinality. Along the way we prove some
club-guessing results.


title:
On the Eccentricity Distribution of Exoplanets from Radial Velocity
  Surveys

abstract:
  We investigate the estimation of orbital parameters by least-$\chi^2$
Keplerian fits to radial velocity (RV) data using synthetic data sets. We find
that while the fitted period is fairly accurate, the best-fit eccentricity and
$M_p\sin i$ are systematically biased upward from the true values for low
signal-to-noise ratio $K/\sigma\lesssim 3$ and moderate number of observations
$N_{\rm obs}\lesssim 60$, leading to a suppression of the number of nearly
circular orbits. Assuming intrinsic distributions of orbital parameters, we
generate a large number of mock RV data sets and study the selection effect on
the eccentricity distribution. We find the overall detection efficiency only
mildly decreases with eccentricity. This is because although high eccentricity
orbits are more difficult to sample, they also have larger RV amplitudes for
fixed planet mass and orbital semi-major axis. Thus the primary source of
uncertainties in the eccentricity distribution comes from biases in Keplerian
fits to detections with low-amplitude and/or small $N_{\rm obs}$, rather than
from selection effects. Our results suggest that the abundance of
low-eccentricity exoplanets may be underestimated in the current sample and we
urge caution in interpreting the eccentricity distributions of low-amplitude
detections in future RV samples.


title: Fuzzy signed measure

abstract:
  we will define a fuzzy signed measure on $\sigma$-algebras, as well as
positive and negative sets. Herein, we will show that the Fuzzy Hahn
Decomposition Theorem, which is a generalization of the classical Hahn
Decomposition Theorem, decompose any space X into a positive set A and a
negative set B such that A+B=X and the signed measure of $A \wedge B $ is 0.


title: The Power Spectrum in de Sitter Inflation, Revisited

abstract:
  We find that the amplitude of quantum fluctuations of the invariant de Sitter
vacuum coincides exactly with that of the vacuum of a comoving observer for a
massless scalar (inflaton) field. We propose redefining the actual physical
power spectrum as the difference between the amplitudes of the above vacua. An
inertial particle detector continues to observe the Gibbons-Hawking
temperature. However, although the resulting power spectrum is still
scale-free, its amplitude can be drastically reduced since now, instead of the
Hubble's scale at the inflationary period, it is determined by the square of
the mass of the inflaton fluctuation field.


title: Einstein solvmanifolds and nilsolitons

abstract:
  The purpose of the present expository paper is to give an account of the
recent progress and present status of the classification of solvable Lie groups
admitting an Einstein left invariant Riemannian metric, the only known examples
so far of noncompact Einstein homogeneous manifolds. The problem turns to be
equivalent to the classification of Ricci soliton left invariant metrics on
nilpotent Lie groups.


title: On the Design of Universal LDPC Codes

abstract:
  Low-density parity-check (LDPC) coding for a multitude of equal-capacity
channels is studied. First, based on numerous observations, a conjecture is
stated that when the belief propagation decoder converges on a set of
equal-capacity channels, it would also converge on any convex combination of
those channels. Then, it is proved that when the stability condition is
satisfied for a number of channels, it is also satisfied for any channel in
their convex hull. For the purpose of code design, a method is proposed which
can decompose every symmetric channel with capacity C into a set of
identical-capacity basis channels. We expect codes that work on the basis
channels to be suitable for any channel with capacity C. Such codes are found
and in comparison with existing LDPC codes that are designed for specific
channels, our codes obtain considerable coding gains when used across a
multitude of channels.


title: The height and range of watermelons without wall

abstract:
  We determine the weak limit of the distribution of the random variables
"height" and "range" on the set of p-watermelons without wall restriction as
the number of steps tends to infinity. Additionally, we provide asymptotics for
the moments of the random variable "height".

categories: math.CO cond-mat.stat-mech math-ph math.MP math.PR


title:
Hypersonic Buckshot: Astrophysical Jets as Heterogeneous Collimated
  Plasmoids

abstract:
  Herbig-Haro (HH) jets are commonly thought of as homogeneous beams of plasma
traveling at hypersonic velocities. Structure within jet beams is often
attributed to periodic or ``pulsed'' variations of conditions at the jet
source. Simulations based on this scenario result in knots extending across the
jet diameter. Observations and recent high energy density laboratory
experiments shed new light on structures below this scale and indicate they may
be important for understanding the fundamentals of jet dynamics. In this paper
we offer an alternative to ``pulsed'' models of protostellar jets. Using direct
numerical simulations we explore the possibility that jets are chains of
sub-radial clumps propagating through a moving inter-clump medium. Our models
explore an idealization of this scenario by injecting small ($r<r_{jet}$),
dense ($\rho>\rho_{jet}$) spheres embedded in an otherwise smooth inter-clump
jet flow. The spheres are initialized with velocities differing from the jet
velocity by $\sim15$%. We find the consequences of shifting from homogeneous to
heterogeneous flows are significant as clumps interact with each other and with
the inter-clump medium in a variety of ways. Structures which mimic what is
expected from pulsed-jet models can form, as can previously unseen
``sub-radial'' behaviors including backward facing bow shocks and off-axis
working surfaces. While these small-scale structures have not been seen before
in simulation studies, they are found in high resolution jet observations. We
discuss implications of our simulations for the interpretation of protostellar
jets with regard to characterization of knots by a ``lifetime'' or ``velocity
history'' approach as well as linking observed structures with central engines
which produce the jets.


title: Ground state of low dimensional dipolar gases: linear and zigzag chains

abstract:
  We study the ground state phase diagram of ultracold dipolar gases in highly
anisotropic traps. Starting from a one-dimensional geometry, by ramping down
the transverse confinement along one direction, the gas reaches various planar
distributions of dipoles. At large linear densities, when the dipolar gas
exhibits a crystal-like phase, critical values of the transverse frequency
exist below which the configuration exhibits novel transverse patterns. These
critical values are found by means of a classical theory, and are in full
agreement with classical Monte Carlo simulations. The study of the quantum
system is performed numerically with Monte Carlo techniques and shows that the
quantum fluctuations smoothen the transition and make it completely disappear
in a gas phase. These predictions could be experimentally tested and would
allow one to reveal the effect of zero-point motion on self-organized
mesoscopic structures of matter waves, such as the transverse pattern of the
zigzag chain.


title: Where Feynman, Field and Fox failed and how we fixed it at RHIC

abstract:
  Hard-scattering of point-like constituents (or partons) in p-p collisions was
discovered at the CERN-ISR in 1972 by measurements utilizing inclusive single
or pairs of hadrons with large transverse momentum ($p_T$).
  It was generally assumed following a seminal paper by Feynman, Field and Fox
(FFF) (and much discussed in a talk that I gave at the 1979 Rencontres de
Moriond) that ``everything you wanted to know about hard-scattering and jets''
could be measured by these methods. Recently, we found in PHENIX that the
$p_{T_a}$ distribution of away side hadrons from a single particle trigger
[with $p_{T_t}$] which is a leading fragment of the trigger jet, could not be
used to measure the fragmentation function of the away jet as originally
claimed by FFF. A new formula was derived which both exhibits scaling in the
variable $x_E\sim p_{T_a}/p_{T_t}$ (a hot topic in 1979) and relates $x_E$,
$\sim$ the ratio of the transverse momenta of the measured particles, to
$\hat{x}_h=\hat{p}_{T_a}/\hat{p}_{T_t}$, the ratio of the transverse momenta of
the away-side to trigger-side jets. Tests of the validity of the formula and
applications to Au+Au central collisions at RHIC (where jets can not be
reconstructed) are discussed.


title: On the field algebra construction

abstract:
  A pure algebraic variant of John Roberts' field algebra construction is
presented and applied to bialgebroid Galois extensions and certain generalized
fusion categories.


title:
Measuring the inclination and mass-to-light ratio of axisymmetric
  galaxies via anisotropic Jeans models of stellar kinematics

abstract:
  We present a simple and efficient anisotropic generalization of the
semi-isotropic (two-integral) axisymmetric Jeans formalism which is used to
model the stellar kinematics of galaxies. The following is assumed: (i) a
constant mass-to-light ratio M/L and (ii) a velocity ellipsoid that is aligned
with cylindrical coordinates (R,z) and characterized by the classic anisotropy
parameter beta_z=1-sigma_z^2/sigma_R^2. Our simple models are fit to SAURON
integral-field observations of the stellar kinematics for a set of fast-rotator
early-type galaxies. With only two free parameters (beta_z and the inclination)
the models generally provide remarkably good descriptions of the shape of the
first (V) and second (V_rms=sqrt{V^2+sigma^2}) velocity moments, once a
detailed description of the surface brightness is given. This is consistent
with previous findings on the simple dynamical structure of these objects. With
the observationally-motivated assumption that beta_z>0, the method is able to
recover the inclination. The technique can be used to determine the dynamical
mass-to-light ratios and angular momenta of early-type fast-rotators and spiral
galaxies, especially when the quality of the data does not justify more
sophisticated modeling approaches. This formalism allows for the inclusion of
dark matter, supermassive black holes, spatially varying anisotropy, and
multiple kinematic components.


title: Dejean's conjecture holds for n >= 30

abstract:
  We extend Carpi's results by showing that Dejean's conjecture holds for n >=
30.


title: The Riemann Hypothesis for Function Fields over a Finite Field

abstract:
  We discuss Enrico Bombieri's proof of the Riemann hypothesis for curves over
a finite field. Reformulated, it states that the number of points on a curve
$\C$ defined over the finite field $\F_q$ is of the order $q+O(\sqrt{q})$. The
first proof was given by Andr\'e Weil in 1942. This proof uses the intersection
of divisors on $\C\times\C$, making the application to the original Riemann
hypothesis so far unsuccessful, because $\spec\Z\times\spec\Z=\spec\Z$ is
one-dimensional. A new method of proof was found in 1969 by S. A. Stepanov.
This method was greatly simplified and generalized by Bombieri in 1973.
  Bombieri's method uses functions on $\C\times\C$, again precluding a direct
translation to a proof of the original Riemann hypothesis. However, the two
coordinates on $\C\times\C$ have different roles, one coordinate playing the
geometric role of the variable of a polynomial, and the other coordinate the
arithmetic role of the coefficients of this polynomial. The Frobenius
automorphism of $\C$ acts on the geometric coordinate of $\C\times\C$. In the
last section, we make some suggestions how Nevanlinna theory could provide a
model of $\spec\Z\times\spec\Z$ that is two-dimensional and carries an action
of Frobenius on the geometric coordinate.


title: Ray-based calculations of backscatter in laser fusion targets

abstract:
  A 1D, steady-state model for Brillouin and Raman backscatter from an
inhomogeneous plasma is presented. The daughter plasma waves are treated in the
strong damping limit, and have amplitudes given by the (linear) kinetic
response to the ponderomotive drive. Pump depletion, inverse-bremsstrahlung
damping, bremsstrahlung emission, Thomson scattering off density fluctuations,
and whole-beam focusing are included. The numerical code DEPLETE, which
implements this model, is described. The model is compared with traditional
linear gain calculations, as well as "plane-wave" simulations with the paraxial
propagation code pF3D. Comparisons with Brillouin-scattering experiments at the
OMEGA Laser Facility [T. R. Boehly et al., Opt. Commun. 133, p. 495 (1997)]
show that laser speckles greatly enhance the reflectivity over the DEPLETE
results. An approximate upper bound on this enhancement, motivated by phase
conjugation, is given by doubling the DEPLETE coupling coefficient. Analysis
with DEPLETE of an ignition design for the National Ignition Facility (NIF) [J.
A. Paisner, E. M. Campbell, and W. J. Hogan, Fusion Technol. 26, p. 755
(1994)], with a peak radiation temperature of 285 eV, shows encouragingly low
reflectivity. Re-absorption of Raman light is seen to be significant in this
design.


title: Quarkonia Production in Hot and Cold Matters

abstract:
  Quarkonia were predicted to be suppressed in the "hot" deconfined matter
known as the Quark Gluon Plasma (QGP), but they were also seen to suffer from
"cold" nuclear matter effects (parton shadowing, nuclear absorption...). Both
at SPS and RHIC, suppression beyond nuclear effects was observed, but the
rapidity dependence of the RHIC result is not easy to interpret. I review here
the current status of these results, their possible interpretations and the new
measurements that could provide insights on quarkonia suppression. Some of them
were presented at this conference.


title: Graph norms and Sidorenko's conjecture

abstract:
  Let $H$ and $G$ be two finite graphs. Define $h_H(G)$ to be the number of
homomorphisms from $H$ to $G$. The function $h_H(\cdot)$ extends in a natural
way to a function from the set of symmetric matrices to $\mathbb{R}$ such that
for $A_G$, the adjacency matrix of a graph $G$, we have $h_H(A_G)=h_H(G)$. Let
$m$ be the number of edges of $H$. It is easy to see that when $H$ is the cycle
of length $2n$, then $h_H(\cdot)^{1/m}$ is the $2n$-th Schatten-von Neumann
norm. We investigate a question of Lov\'{a}sz that asks for a characterization
of graphs $H$ for which the function $h_H(\cdot)^{1/m}$ is a norm.
  We prove that $h_H(\cdot)^{1/m}$ is a norm if and only if a H\"{o}lder type
inequality holds for $H$. We use this inequality to prove both positive and
negative results, showing that $h_H(\cdot)^{1/m}$ is a norm for certain classes
of graphs, and giving some necessary conditions on the structure of $H$ when
$h_H(\cdot)^{1/m}$ is a norm. As an application we use the inequality to verify
a conjecture of Sidorenko for certain graphs including hypercubes. In fact for
such graphs we can prove statements that are much stronger than the assertion
of Sidorenko's conjecture.
  We also investigate the $h_H(\cdot)^{1/m}$ norms from a Banach space
theoretic point of view, determining their moduli of smoothness and convexity.
This generalizes the previously known result for the $2n$-th Schatten-von
Neumann norms.


title: The Emerging QCD Frontier: The Electron Ion Collider

abstract:
  The self-interactions of gluons determine all the unique features of QCD and
lead to a dominant abundance of gluons inside matter already at moderate $x$.
Despite their dominant role, the properties of gluons remain largely
unexplored. Tantalizing hints of saturated gluon densities have been found in
$e$+p collisions at HERA, and in d+Au and Au+Au collisions at RHIC. Saturation
physics will have a profound influence on heavy-ion collisions at the LHC. But
unveiling the collective behavior of dense assemblies of gluons under
conditions where their self-interactions dominate will require an Electron-Ion
Collider (EIC): a new facility with capabilities well beyond those In this
paper I outline the compelling physics case for $e$+A collisions at an EIC and
discuss briefly the status of machine design concepts. of any existing
accelerator.


title: Phase Transition and Separation for Mixture of Liquid He-3 and He-4

abstract:
  This article introduces a dynamical Ginzburg-Landau phase
transition/separation model for the mixture of liquid helium-3 and helium-4,
using a unified dynamical Ginzburg-Landau model for equilibrium phase
transitions. The analysis of this model leads to three critical length scales
L1 < L2 < L3, detailed theoretical phase diagrams and transition properties
with different length scales of the container.


title:
Topology Types of Adinkras and the Corresponding Representations of
  N-Extended Supersymmetry

abstract:
  We present further progress toward a complete classification scheme for
describing supermultiplets of N-extended worldline supersymmetry, which relies
on graph-theoretic topological invariants. In particular, we demonstrate a
relationship between Adinkra diagrams and quotients of N-dimensional cubes,
where the quotient groups are subgroups of $(Z_2)^N$. We explain how these
quotient groups correspond precisely to doubly even binary linear
error-correcting codes, so that the classification of such codes provides a
means for describing equivalence classes of Adinkras and therefore
supermultiplets. Using results from coding theory we exhibit the enumeration of
these equivalence classes for all cases up to 26 supercharges, as well as the
maximal codes, corresponding to minimal supermultiplets, for up to 32
supercharges.


title:
Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible
  Representations of N-Extended Supersymmetry

abstract:
  Previous work has shown that the classification of indecomposable off-shell
representations of N-supersymmetry, depicted as Adinkras, may be factored into
specifying the topologies available to Adinkras, and then the
height-assignments for each topological type. The latter problem being solved
by a recursive mechanism that generates all height-assignments within a
topology, it remains to classify the former. Herein we show that this problem
is equivalent to classifying certain (1) graphs and (2) error-correcting codes.


title: Symmetrization and sharp Sobolev inequalities in metric spaces

abstract:
  We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In
particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates
for H\"{o}rmander vector fields.


title: Ads(3)/CFT(2) to Ads(2)/CFT(1)

abstract:
  It has been suggested that the quantum generalization of the Wald entropy for
an extremal black hole is the logarithm of the ground state degeneracy of a
dual quantum mechanics in a fixed charge sector. We test this proposal for
supersymmetric extremal BTZ black holes for which there is an independent
definition of the quantum entropy as the logarithm of the degeneracy of
appropriate states in the dual 1+1 dimensional superconformal field theory. We
find that the two proposals agree. This analysis also suggests a possible route
to deriving the OSV conjecture.


title: Ghost-Free Superconformal Action for Multiple M2-Branes

abstract:
  The Bagger--Lambert construction of N = 8 superconformal field theories
(SCFT) in three dimensions is based on 3-algebras. Three groups of researchers
recently realized that an arbitrary semisimple Lie algebra can be incorporated
by using a suitable Lorentzian signature 3-algebra. The SU(N) case is a
candidate for the SCFT describing coincident M2-branes. However, these theories
contain ghost degrees of freedom, which is unsatisfactory. We modify them by
gauging certain global symmetries. This eliminates the ghosts from these
theories while preserving all of their desirable properties. The resulting
theories turn out to be precisely equivalent to N = 8 super Yang--Mills
theories.


title:
Skew orthogonal polynomials and the partly symmetric real Ginibre
  ensemble

abstract:
  The partly symmetric real Ginibre ensemble consists of matrices formed as
linear combinations of real symmetric and real anti-symmetric Gaussian random
matrices. Such matrices typically have both real and complex eigenvalues. For a
fixed number of real eigenvalues, an earlier work has given the explicit form
of the joint eigenvalue probability density function. We use this to derive a
Pfaffian formula for the corresponding summed up generalized partition
function. This Pfaffian formula allows the probability that there are exactly
$k$ eigenvalues to be written as a determinant with explicit entries. It can be
used too to give the explicit form of the correlation functions, provided
certain skew orthogonal polynomials are computed. This task is accomplished in
terms of Hermite polynomials, and allows us to proceed to analyze various
scaling limits of the correlations, including that in which the matrices are
only weakly non-symmetric.