title: Lubrication effects on the flow of wet granular materials

abstract:
  We investigate the dynamics of a partially saturated grain-liquid mixture
with a rotating drum apparatus. The drum is partially filled with the mixture
and then rotated about its horizontal axis. We focus on the continous
avalanching regime and measure the impact of volume fraction and viscosity of
the liquid on the dynamic surface angle. The inclination angle of the surface
is observed to increase sharply to a peak and then decrease as a function of
liquid volume fraction. The height of the peak is observed to increase with
rotation rate. For higher liquid volume fractions, the inclination angle of the
surface can decrease with viscosity before increasing. The viscosity where the
minima occurs decreases with the rotation rate of the drum. Limited
measurements of the flow depth were made, and these were observed to show only
fractional changes with volume fraction and rotation speeds. We show that the
qualitative features of our observations can be understood by analyzing the
effect of lubrication forces on the timescale over which particles come in
contact.


title: No phase transition for Gaussian fields with bounded spins

abstract:
  Let a<b, \Omega=[a,b]^{\Z^d} and H be the (formal) Hamiltonian defined on
\Omega by
  H(\eta) = \frac12 \sum_{x,y\in\Z^d} J(x-y) (\eta(x)-\eta(y))^2 where
J:\Z^d\to\R is any summable non-negative symmetric function (J(x)\ge 0 for all
x\in\Z^d, \sum_x J(x)<\infty and J(x)=J(-x)). We prove that there is a unique
Gibbs measure on \Omega associated to H. The result is a consequence of the
fact that the corresponding Gibbs sampler is attractive and has a unique
invariant measure.


title:
Faraday Rotation in Global Accretion Disk Simulations: Implications for
  Sgr A*

abstract:
  These Faraday rotation calculations of hot, thick accretion flows are
motivated by the measured steady rotation measure (RM) of $\approx -6 \times
10^5$ rad m$^{-2}$ from Sgr A*. In our numerical simulations, the quasi-steady
state structure of the accretion flow, and the RM it produces, depends on the
initial magnetic field. In spite of this dependence, we can draw several robust
conclusions about Faraday rotation produced by geometrically thick accretion
disks: i) the time averaged RM does not depend that sensitively on the viewing
angle, but the stability of the RM can. Equatorial viewing angles show
significant variability in RM (including sign reversals), while polar viewing
angles are relatively stable if there is a large scale magnetic field threading
the disk at large radii. ii) Most of the RM is produced at small radii for
polar viewing angles while all radii contribute significantly near the midplane
of the disk. Our simulations confirm previous analytic arguments that the
accretion rate onto Sgr A* must satisfy $\dot M_{\rm in} \ll \dot M_{\rm Bondi}
\sim 10^{-5} \mpy$ in order to not over-produce the measured RM. We argue that
the steady RM $\approx -6 \times 10^5$ rad m$^{-2}$ from Sgr A* has two
plausible explanations: 1) it is produced at $\sim 100$ Schwarzschild radii,
requires $\dot{M}_{\rm in} \approx 3 \times 10^{-8} M_\odot$ yr$^{-1}$, and we
view the flow at an angle of $\sim 30^\circ$ relative to the rotation axis of
the disk; in our simulations, the variation in RM across a finite-sized source
is sufficient to depolarize the emission below $\approx$ 100 GHz, consistent
with observations. 2) Alternatively, the RM may be produced in the relatively
spherical inflowing plasma near the circularization radius at $\sim 10^3-10^4$
Schwarzschild radii.


title: Lieb--Thirring bounds for complex Jacobi matrices

abstract:
  We obtain various versions of classical Lieb--Thirring bounds for one- and
multi-dimensional complex Jacobi matrices. Our method is based on Fan-Mirski
Lemma and seems to be fairly general.


title:
Corrections to the generalized vector dominance due to diffractive rho_3
  production

abstract:
  The idea of the vector dominance is still in use in various analyses of
experimental data of photon-hadron reactions. It makes sense, therefore, to
recast results of microscopic calculations of such reactions in this language.
Here we present the diffractive DIS $\rho_3$ production as a specific
correction to the generalized vector dominance. We perform a coupled channel
analysis of spin-orbital excitations in diffractive photoproduction and
reiterate the point that rho_3 in diffractive DIS will be sensitive to a novel
aspect of diffraction.


title: Four Generations and Higgs Physics

abstract:
  In the light of the LHC, we revisit the implications of a fourth generation
of chiral matter. We identify a specific ensemble of particle masses and
mixings that are in agreement with all current experimental bounds as well as
minimize the contributions to electroweak precision observables. Higgs masses
between 115-315 (115-750) GeV are allowed by electroweak precision data at the
68% and 95% CL. Within this parameter space, there are dramatic effects on
Higgs phenomenology: production rates are enhanced, weak-boson-fusion channels
are suppressed, angular distributions are modified, and Higgs pairs can we
observed. We also identify exotic signals, such as Higgs decay to same-sign
dileptons. Finally, we estimate the upper bound on the cutoff scale from vacuum
stability and triviality.


title:
Spectrum and thermal fluctuations of a microcavity polariton
  Bose-Einstein condensate

abstract:
  The Hartree-Fock-Popov theory of interacting Bose particles is developed, for
modeling exciton-polaritons in semiconductor microcavities undergoing
Bose-Einstein condensation. A self-consistent treatment of the linear
exciton-photon coupling and of the exciton non-linearity provides a thermal
equilibrium description of the collective excitation spectrum, of the polariton
energy shifts and of the phase diagram. Quantitative predictions support recent
experimental findings.


title: How Can We Avert Dangerous Climate Change?

abstract:
  Recent analyses indicate that the amount of atmospheric CO2 required to cause
dangerous climate change is at most 450 ppm, and likely less than that.
Reductions of non-CO2 climate forcings can provide only moderate, albeit
important, adjustments to the CO2 limit. Realization of how close the planet is
to "tipping points" with unacceptable consequences, especially ice sheet
disintegration with sea level rise out of humanity's control, has a bright
side. It implies an imperative: we must find a way to keep the CO2 amount so
low that it will also avert other detrimental effects that had begun to seem
inevitable, e.g., ocean acidification, loss of most alpine glaciers and thus
the water supply for millions of people, and shifting of climatic zones with
consequent extermination of species. Here I outline from a scientific
perspective actions needed to achieve low limits on CO2 and global warming.
These changes are technically feasible and have ancillary benefits. Achievement
of needed changes requires overcoming the spurious argument that developed and
developing countries have equivalent responsibilities, as well as overcoming
special interests advocating minimalist or counterproductive actions such as
corn-based ethanol and liquid-fuel-from-coal programs.


title: Stability Limits in Resonant Planetary Systems

abstract:
  The relationship between the boundaries for Hill and Lagrange stability in
orbital element space is modified in the case of resonantly interacting
planets. Hill stability requires the ordering of the planets to remain constant
while Lagrange stability also requires all planets to remain bound to the
central star. The Hill stability boundary is defined analytically, but no
equations exist to define the Lagrange boundary, so we perform numerical
experiments to estimate the location of this boundary. To explore the effect of
resonances, we consider orbital element space near the conditions in the HD
82943 and 55 Cnc systems. Previous studies have shown that, for non-resonant
systems, the two stability boundaries are nearly coincident. However the Hill
stability formula are not applicable to resonant systems, and our investigation
shows how the two boundaries diverge in the presence of a mean-motion
resonance, while confirming that the Hill and Lagrange boundaries are similar
otherwise. In resonance the region of stability is larger than the domain
defined by the analytic formula for Hill stability. We find that nearly all
known resonant interactions currently lie in this extra stable region, i.e.
where the orbits would be unstable according to the non-resonant Hill stability
formula. This result bears on the dynamical packing of planetary systems,
showing how quantifying planetary systems' dynamical interactions (such as
proximity to the Hill-stability boundary) provides new constraints on planet
formation models.


title:
Measurement of Inclusive Jet Production in Deep-Inelastic Scattering at
  High Q^2 and Determination of the Strong Coupling

abstract:
  Inclusive jet production is studied in neutral current deep-inelastic
positron-proton scattering at large four momentum transfer squared Q^2>150
GeV^2 with the H1 detector at HERA. Single and double differential inclusive
jet cross sections are measured as a function of Q^2 and of the transverse
energy E_T of the jets in the Breit frame. The measurements are found to be
well described by calculations at next-to-leading order in perturbative QCD.
The running of the strong coupling is demonstrated and the value of
alpha_s(M_Z) is determined. The ratio of the inclusive jet cross section to the
inclusive neutral current cross section is also measured and used to extract a
precise value for
alpha_s(M_Z)=0.1193+/-0.0014(exp.)^{+0.0047}_{-0.0030}(th.)+/-0.0016(pdf).


title: Order-Invariant MSO is Stronger than Counting MSO in the Finite

abstract:
  We compare the expressiveness of two extensions of monadic second-order logic
(MSO) over the class of finite structures. The first, counting monadic
second-order logic (CMSO), extends MSO with first-order modulo-counting
quantifiers, allowing the expression of queries like ``the number of elements
in the structure is even''. The second extension allows the use of an
additional binary predicate, not contained in the signature of the queried
structure, that must be interpreted as an arbitrary linear order on its
universe, obtaining order-invariant MSO.
  While it is straightforward that every CMSO formula can be translated into an
equivalent order-invariant MSO formula, the converse had not yet been settled.
Courcelle showed that for restricted classes of structures both order-invariant
MSO and CMSO are equally expressive, but conjectured that, in general,
order-invariant MSO is stronger than CMSO.
  We affirm this conjecture by presenting a class of structures that is
order-invariantly definable in MSO but not definable in CMSO.


title: Some Musings on Galaxy Morphology

abstract:
  Careful inspection of large-scale photographs of Shapley-Ames galaxies seems
to show a smooth transition between the morphological characteristics of
galaxies located on the narrow red, and on the broad blue, sequences in the
galaxian color-magnitude diagram. In other words there does not appear to be a
dichotomy between blue and red galaxies. Both the colors and the morphologies
of galaxies are found to correlate strongly with their environments. Red and
early-type Shapley-Ames galaxies are dominant in clusters, whereas blue
late-type star forming objects dominate the general field. Interestingly the
colors and morphologies of galaxies in small groups resemble the field and
differ from those in clusters. As noted by Baade the presence of dust and star
formation are very closely correlated, except in a few galaxies that probably
had unusual evolutionary histories. Over the entire range from S0 to Sc there
is no significant difference between the integrated colors of normal and barred
objects suggesting that the formation of a bar does not significantly affect
the stellar evolutionary history of a galaxy.


title: Weyl modules and opers without monodromy

abstract:
  We prove that the algebra of endomorphisms of a Weyl module of critical level
is isomorphic to the algebra of functions on the space of monodromy-free opers
on the disc with regular singularity and residue determined by the highest
weight of the Weyl module. This result may be used to test the local geometric
Langlands correspondence proposed in our earlier work arXiv:math/0508382.


title: Reversible stochastic pump currents in interacting nanoscale conductors

abstract:
  I argue that the geometric phase, responsible for reversible pump currents in
classical stochastic kinetics, can be observed experimentally with an
electronic setup, similar to the ones reported recently in [Phys. Rev. Lett.
96,076605 (2006)] and [Nature Physics 3, 243 - 247 (2007)].


title: Bipairing and the Stripe Phase in 4-Leg Ladders

abstract:
  Density Matrix Renormalization Group (DMRG) calculations on 4-leg t-J and
Hubbard ladders have found a phase exhibiting "stripes" at intermediate doping.
Such behavior can be viewed as generalized Friedel oscillations, with
wavelength equal to the inverse hole density, induced by the open boundary
conditions. So far, this phase has not been understood using the conventional
weak coupling bosonization approach. Based on studies from a general
bosonization proof, finite size spectrum, an improved analysis of weak coupling
renormalization group equations and the decoupled 2-leg ladders limit, we here
find new types of phases of 4-leg ladders which exhibit "stripes". They also
inevitably exhibit "bipairing", meaning that there is a gap to add 1 or 2
electrons (but not 4) and that both single electron and electron pair
correlation functions decay exponentially while correlation functions of charge
4 operators exhibit power-law decay. Whether or not bipairing occurs in the
stripe phase found in DMRG is an important open question.


title:
Superconductivity in hcp Sc under pressure - linear response results and
  comparison with hcp Fe

abstract:
  This paper has been withdrawn due to some errors in the reported discussion,
and needs a thorough revision


title:
Combinatorial and hybrid principles for sigma-directed families of
  countable sets modulo finite

abstract:
  We consider strong combinatorial principles for sigma-directed families of
countable sets in the ordering by inclusion modulo finite, e.g. P-ideals of
countable sets. We try for principles as strong as possible while remaining
compatible with CH, and we also consider principles compatible with the
existence of nonspecial Aronszajn trees. The main thrust is towards abstract
principles with game theoretic formulations. Some of these principles are
purely combinatorial, while the ultimate principles are primarily combinatorial
but also have aspects of forcing axioms.


title:
Narrowing Constraints with Type Ia Supernovae: Converging on a
  Cosmological Constant

abstract:
  We apply a parameterization-independent approach to fitting the dark energy
equation-of-state (EOS). Utilizing the latest type Ia supernova data, combined
with results from the cosmic microwave background and baryon acoustic
oscillations, we find that the dark energy is consistent with a cosmological
constant. We establish independent estimates of the evolution of the dark
energy EOS by diagonalizing the covariance matrix. We find three independent
constraints, which taken together imply that the equation of state is more
negative than -0.2 at the 68% confidence level in the redshift range 0<z<1.8,
independent of the flat universe assumption. Our estimates argue against
previous claims of dark energy ``metamorphosis,'' where the EOS was found to be
strongly varying at low redshifts. Our results are inconsistent with extreme
models of dynamical dark energy, both in the form of ``freezing'' models where
the dark energy EOS begins with a value greater than -0.2 at z > 1.2 and rolls
to a value of -1 today, and ``thawing'' models where the EOS is near -1 at high
redshifts, but rapidly evolves to values greater than -0.85 at z < 0.2.
Finally, we propose a parameterization-independent figure-of-merit, to help
assess the ability of future surveys to constrain dark energy. While previous
figures-of-merit presume specific dark energy parameterizations, we suggest a
binning approach to evaluate dark energy constraints with a minimum number of
assumptions.


title:
Calculation of the axial charge in the epsilon and epsilon' regimes of
  HBChPT

abstract:
  The axial charge g_A is calculated in the epsilon regime of Heavy Baryon
Chiral Perturbation Theory to order epsilon^3. To perform this calculation, we
develop a technique to compute baryon properties in the epsilon regime of
Chiral Perturbation Theory. This technique includes contributions from pion
zero momentum modes and can be used at arbitrary order, diagram by diagram, in
the $\epsilon$ regime to calculate any matrix element. Also, a calculation of
g_A in the epsilon' regime to order epsilon'^3 is performed. A discussion of
the domain of applicability for both the epsilon and epsilon' regimes is also
included.


title:
Toward faithful templates for non-spinning binary black holes using the
  effective-one-body approach

abstract:
  We present an accurate approximation of the full gravitational radiation
waveforms generated in the merger of non-eccentric systems of two non-spinning
black holes. Utilizing information from recent numerical relativity simulations
and the natural flexibility of the effective-one-body (EOB) model, we extend
the latter so that it can successfully match the numerical relativity waveforms
during the last stages of inspiral, merger and ringdown. By ``successfully''
here, we mean with phase differences < 8% of a gravitational-wave cycle
accumulated by the end of the ringdown phase, maximizing only over time of
arrival and initial phase. We obtain this result by simply adding a
4-post-Newtonian order correction in the EOB radial potential and determining
the (constant) coefficient by imposing high-matching performances with
numerical waveforms of mass ratios m1/m2 = 1, 3/2, 2 and 4, m1 and m2 being the
individual black-hole masses. The final black-hole mass and spin predicted by
the numerical simulations are used to determine the ringdown frequency and
decay time of three quasi-normal-mode damped sinusoids that are attached to the
EOB inspiral-(plunge) waveform at the EOB light-ring. The EOB waveforms might
be tested and further improved in the future by comparison with extremely long
and accurate inspiral numerical-relativity waveforms. They may already be
employed for coherent searches and parameter estimation of gravitational waves
emitted by non-spinning coalescing binary black holes with ground-based
laser-interferometer detectors.


title:
Interplay between lattice-scale physics and the quantum Hall effect in
  graphene

abstract:
  Graphene's honeycomb lattice structure underlies much of the remarkable
physics inherent in this material, most strikingly through the formation of two
``flavors'' of Dirac cones for each spin. In the quantum Hall regime, the
resulting flavor degree of freedom leads to an interesting problem when a
Landau level is partially occupied. Namely, while Zeeman splitting clearly
favors polarizing spins along the field, precisely how the states for each
flavor are occupied can become quite delicate. Here we focus on clean graphene
sheets in the regime of quantum Hall ferromagnetism, and discuss how subtler
lattice-scale physics, arising either from interactions or disorder, resolves
this ambiguity to measurable consequence. Interestingly, such lattice-scale
physics favors microscopic symmetry-breaking order coexisting with the usual
liquid-like quantum Hall physics emerging on long length scales. The current
experimental situation is briefly reviewed in light of our discussion.


title: Higher Rank TQFT Representations of SL(2,Z) are Reducible

abstract:
  In this article we give examples which show that the TQFT representations of
the mapping class groups derived from quantum SU(N) for N>2 are generically
decomposable. One general decomposition of the representations is induced by
the symmetry which exchanges SU(N) representation labels by their conjugates.
The respective summands of a given parity are typically still reducible into
many further components.
  Specifically, we give an explicit basis for an irreducible direct summand in
the SL(2,Z) representation obtained from quantum PSU(3) when the order of the
root of unity is a prime r=2 mod 3. We show that this summand is isomorphic to
the respective PSU(2) representation.


title: Multi-bit information storage by multisite phosphorylation

abstract:
  Cells store information in DNA and in stable programs of gene expression,
which thereby implement forms of long-term cellular memory. Cells must also
possess short-term forms of information storage, implemented
post-translationally, to transduce and interpret external signals. CaMKII, for
instance, is thought to implement a one-bit (bistable) short-term memory
required for learning at post-synaptic densities. Here we show by mathematical
analysis that multisite protein phosphorylation, which is ubiquitous in all
eukaryotic signalling pathways, exhibits multistability for which the maximal
number of steady states increases with the number of sites. If there are n
sites, the maximal information storage capacity is at least log_2 (n+2)/2 bits
when n is even and log_2 (n+1)/2 bits when n is odd. Furthermore, when
substrate is in excess, enzyme saturation together with an alternating low/high
pattern in the site-specific relative catalytic efficiencies, enriches for
multistability. That is, within physiologically plausible ranges for
parameters, multistability becomes more likely than monostability. We discuss
the experimental challenges in pursuing these predictions and in determining
the biological role of short-term information storage.


title: World-line Quantisation of a Reciprocally Invariant System

abstract:
  We present the world-line quantisation of a system invariant under the
symmetries of reciprocal relativity (pseudo-unitary transformations on ``phase
space coordinates" $(x^\mu(\tau),p^\mu(\tau))$ which preserve the Minkowski
metric and the symplectic form, and global shifts in these coordinates,
together with coordinate dependent transformations of an additional compact
phase coordinate, $\theta(\tau)$). The action is that of free motion over the
corresponding Weyl-Heisenberg group. Imposition of the first class constraint,
the generator of local time reparametrisations, on physical states enforces
identification of the world-line cosmological constant with a fixed value of
the quadratic Casimir of the quaplectic symmetry group $Q(D-1,1)\cong
U(D-1,1)\ltimes H(D)$, the semi-direct product of the pseudo-unitary group with
the Weyl-Heisenberg group (the central extension of the global translation
group, with central extension associated to the phase variable $\theta(\tau)$).
The spacetime spectrum of physical states is identified. Even though for an
appropriate range of values the restriction enforced by the cosmological
constant projects out negative norm states from the physical spectrum, leaving
over spin zero states only, the mass-squared spectrum is continuous over the
entire real line and thus includes a tachyonic branch as well.


title:
Quantum Hall plateau transition in the lowest Landau level of disordered
  graphene

abstract:
  We investigate, analytically and numerically, the effects of disorder on the
density of states and on the localization properties of the relativistic two
dimensional fermions in the lowest Landau level. Employing a supersymmetric
technique, we calculate the exact density of states for the Cauchy (Lorentzian)
distribution for various types of disorders. We use a numerical technique to
establish the localization-delocalization (LD) transition in the lowest Landau
level. For some types of disorder the LD transition is shown to belong to a
different universality class, as compared to the corresponding nonrelativistic
problem. The results are relevant to the integer quantum Hall plateau
transitions observed in graphene.


title: Equivariant Littlewood-Richardson Skew Tableaux

abstract:
  We give a positive equivariant Littlewood-Richardson rule also discovered
independently by Molev. Our proof generalizes a proof by Stembridge of the
ordinary Littlewood-Richardson rule. We describe a weight-preserving bijection
between our indexing tableaux and the Knutson-Tao puzzles.


title: Gorenstein cohomology in abelian categories

abstract:
  We investigate relative cohomology functors on subcategories of abelian
categories via Auslander-Buchweitz approximations and the resulting strict
resolutions. We verify that certain comparison maps between these functors are
isomorphisms and introduce a notion of perfection for this context. Our main
theorem is a balance result for relative cohomology that simultaneously
recovers theorems of Holm and the current authors as special cases.


title: Randomized series and Geometry of Banach spaces

abstract:
  We study some properties of the randomized series and their applications to
the geometric structure of Banach spaces. For $n\ge 2$ and $1<p<\infty$, it is
shown that $\ell_\infty^n$ is representable in a Banach space $X$ if and only
if it is representable in the Lebesgue-Bochner $L_p(X)$. New criteria for
various convexity properties in Banach spaces are also studied. It is proved
that a Banach lattice $E$ is uniformly monotone if and only if its
$p$-convexification $E^{(p)}$ is uniformly convex and that a K\"othe function
space $E$ is upper locally uniformly monotone if and only if its
$p$-convexification $E^{(p)}$ is midpoint locally uniformly convex.


title:
Observational Signatures of High-Energy Emission during the Shallow
  Decay Phase of GRB X-Ray Afterglows

abstract:
  The widely existing shallow decay phase of the X-ray afterglows of gamma-ray
bursts (GRBs) is generally accepted to be due to long-lasting energy injection.
The outflows carrying the injecting energy, based on the component that is
dominative in energy, fall into two possible types: baryon-dominated and
lepton-dominated ones. The former type of outflow could be ejecta that is
ejected during the prompt phase of a GRB and consists of a series of baryonic
shells with a distribution of Lorentz factors, and the latter type could be an
electron-positron-pair wind that is driven by the post-burst central engine. We
here provide a unified description for the dynamics of fireballs based on these
two types of energy injection, and calculate the corresponding high-energy
photon emission by considering synchrotron radiation and inverse Compton
scattering (including synchrotron self-Compton and combined inverse-Compton) of
electrons. We find that, in the two energy-injection models, there is a plateau
(even a hump) in high-energy light curves during the X-ray shallow decay phase.
In particular, a considerable fraction of the injecting energy in the
lepton-dominated model can be shared by the long-lasting reverse shock since it
is relativistic. Furthermore, almost all of the energy of the reverse shock is
carried by leptons, and thus the inverse-Compton emission is enhanced
dramatically. Therefore, this model predicts more significant high-energy
afterglow emission than the baryon-dominated model. We argue that these
observational signatures would be used to discriminate between different
energy-injection models in the upcoming {\em Gamma-ray Large Area Space
Telescope} (GLAST) era.


title: The Bloch-Okounkov correlation functions of negative levels

abstract:
  Bloch and Okounkov introduced an $n$-point correlation function on the
fermionic Fock space and found a closed formula in terms of theta functions.
This function affords several distinguished interpretations and in particular
can be formulated as correlation functions on irreducible
$\hat{gl}_\infty$-modules of level one. These correlation functions have been
generalized for irreducible integrable modules of $\hat{gl}_\infty$ and its
classical Lie subalgebras of positive levels by the authors. In this paper we
extend further these results and compute the correlation functions as well as
the $q$-dimensions for modules of $\hat{gl}_\infty$ and its classical
subalgebras at negative levels.


title:
Dynamical Response of Nanomechanical Resonators to Biomolecular
  Interactions

abstract:
  We studied the dynamical response of a nanomechanical resonator to
biomolecular (e.g. DNA) adsorptions on a resonator's surface by using a
theoretical model, which considers the Hamiltonian H such that the potential
energy consists of elastic bending energy of a resonator and the potential
energy for biomolecular interactions. It was shown that the resonant frequency
shift of a resonator due to biomolecular adsorption depends on not only the
mass of adsorbed biomolecules but also the biomolecular interactions.
Specifically, for dsDNA adsorption on a resonator's surface, the resonant
frequency shift is also dependent on the ionic strength of a solvent, implying
the role of molecular interactions on the dynamic behavior of a resonator. This
indicates that nanomechanical resonators may enable one to quantify the
biomolecular mass, implying the enumeration of biomolecules, as well as gain
insight into intermolecular interactions between adsorbed biomolecules on the
surface.


title: The Imprint of Cosmic Reionization on Galaxy Clustering

abstract:
  We consider the effect of reionization on the clustering properties of galaxy
samples at intermediate redshifts (z~0.3-5.5). Current models for the
reionization of intergalactic hydrogen predict that overdense regions will be
reionized early, thus delaying the build up of stellar mass in the progenitors
of massive lower-redshift galaxies. As a result, the stellar populations
observed in intermediate redshift galaxies are somewhat younger and hence
brighter in overdense regions of the Universe. Galaxy surveys would therefore
be sensitive to galaxies with a somewhat lower dark matter mass in overdense
regions. The corresponding increase in the observed number density of galaxies
can be parameterized as a galaxy bias due to reionization. We model this
process using merger trees combined with a stellar synthesis code. Our model
demonstrates that reionization has a significant effect on the clustering
properties of galaxy samples that are selected based on their star-formation
properties. The bias correction in Lyman-break galaxies (including those in
proposed baryonic oscillation surveys at z<1) is at the level of 10-20% for a
halo mass of 10^12 solar masses, leading to corrections factors of 1.5-2 in the
halo mass inferred from measurements of clustering length. The reionization of
helium could also lead to a sharp increase in the amplitude of the galaxy
correlation function at z~3. We find that the reionization bias is
approximately independent of scale and halo mass. However since the traditional
galaxy bias is mass dependent, the reionization bias becomes relatively more
important for lower mass systems. The correction to the bias due to
reionization is very small in surveys of luminous red galaxies at z<1.


title: Gale duality for complete intersections

abstract:
  We show that every complete intersection of Laurent polynomials in an
algebraic torus is isomorphic to a complete intersection of master functions in
the complement of a hyperplane arrangement, and vice versa. We call this
association Gale duality because the exponents of the monomials in the
polynomials annihilate the weights of the master functions. We use Gale duality
to give a Kouchnirenko theorem for the number of solutions to a system of
master functions and to compute some topological invariants of generic master
function complete intersections.


title: Nonrelativistic conformal field theories

abstract:
  We study representations of the Schr\"odinger algebra in terms of operators
in nonrelativistic conformal field theories. We prove a correspondence between
primary operators and eigenstates of few-body systems in a harmonic potential.
Using the correspondence we compute analytically the energy of fermions at
unitarity in a harmonic potential near two and four spatial dimensions. We also
compute the energy of anyons in a harmonic potential near the bosonic and
fermionic limits.


title: Superconductors described with CSM.(a new paper, 2008-10-16)

abstract:
  The properties of the known superconductors can be explained with the
correlations dominated superconducting mechanism (CSM). The correlations have
the spin correlation, the charge correlation and the spin-charge correlation,
and their strengths can be described by the related correlation lengths in
their correlation functions. Our evaluation from many superconductors is that
superconductivities occur if both the spin correlation and the charge
correlation are stronger, and the calculation of a Hubbard model showed that
the spin-charge correlation may govern superconductivities1. Afterwards, this
mechanism has led a model which includes various superconductivities and
magnetisms, and the relation between superconductivities and magnetisms can be
understood on this model2 (these results have been shown by calculations). This
mechanism is very practical, for example, to turn a material into a
superconductor or increase the Tc of a superconductor, what we will do is to
increase the spin-charge correlation. In this letter, we first describe the
relations between the spin-charge correlation, the spin correlation and the
charge correlation, take these relations as the basis of constructing a new
phase diagram, and then classify the known superconductors into various
sections in this phase diagram. This letter also gives a new explanation about
the pressure effect on Tc, the isotope effect on Tc and the pairing symmetry
with the CSM.


title: On Monge-Ampere equations with homogeneous right hand side

abstract:
  We study the regularity and behavior at the origin of solutions to the
two-dimensional degenerate Monge-Ampere equation with homogeneous right hand
side of degree alpha, alpha>-2. We show that when alpha > 0, solutions admit
only two possible behaviors near the origin, radial and non-radial. We also
show that the radial behavior is unstable. For alpha<0 we prove that solutions
admit only the radial behavior near the origin.


title: Quantum Operation Time Reversal

abstract:
  The dynamics of an open quantum system can be described by a quantum
operation, a linear, complete positive map of operators. Here, I exhibit a
compact expression for the time reversal of a quantum operation, which is
closely analogous to the time reversal of a classical Markov transition matrix.
Since open quantum dynamics are stochastic, and not, in general, deterministic,
the time reversal is not, in general, an inversion of the dynamics. Rather, the
system relaxes towards equilibrium in both the forward and reverse time
directions. The probability of a quantum trajectory and the conjugate, time
reversed trajectory are related by the heat exchanged with the environment.


title: Pruning Processes and a New Characterization of Convex Geometries

abstract:
  We provide a new characterization of convex geometries via a multivariate
version of an identity that was originally proved by Maneva, Mossel and
Wainwright for certain combinatorial objects arising in the context of the
k-SAT problem. We thus highlight the connection between various
characterizations of convex geometries and a family of removal processes
studied in the literature on random structures.


title:
The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical
  Aspects

abstract:
  Certain aspects of the AdS/CFT correspondence are studied in detail. We
investigate the one-loop mass shift to certain two-impurity string states in
light-cone string field theory on a plane wave background. We find that there
exist logarithmic divergences in the sums over intermediate mode numbers which
cancel between the cubic Hamiltonian and quartic "contact term". We argue that
generically, every order in intermediate state impurities contributes to the
mass shift at leading perturbative order. The same mass shift is also computed
using an improved 3-string vertex proposed by Dobashi and Yoneya. The result is
found to agree with gauge theory at leading order and is close but not quite in
agreement at subleading order. We extend the analysis to include discrete
light-cone quantization, considering states with up to three units of p+. We
study the (apparently) first-order phase transition in the weakly coupled
plane-wave matrix model at finite temperature. We analyze the effect of
interactions by computing the relevant parts of the effective potential for the
Polyakov loop operator to three loop order. We show that the phase transition
is indeed of first order. We also compute the 2-loop correction to the Hagedorn
temperature. Finally, correlation functions of 1/4 BPS Wilson loops with the
infinite family of 1/2 BPS chiral primary operators are computed in N=4 super
Yang-Mills theory by summing planar ladder diagrams. The correlation functions
are also computed in the strong-coupling limit using string theory; the result
is found to agree with the extrapolation of the planar ladders. The result is
related to similar correlators of 1/2 BPS loops by a simple re-scaling of the
coupling constant, discovered by Drukker for the case of the 1/4 BPS loop VEV.


title: Secure Nested Codes for Type II Wiretap Channels

abstract:
  This paper considers the problem of secure coding design for a type II
wiretap channel, where the main channel is noiseless and the eavesdropper
channel is a general binary-input symmetric-output memoryless channel. The
proposed secure error-correcting code has a nested code structure. Two secure
nested coding schemes are studied for a type II Gaussian wiretap channel. The
nesting is based on cosets of a good code sequence for the first scheme and on
cosets of the dual of a good code sequence for the second scheme. In each case,
the corresponding achievable rate-equivocation pair is derived based on the
threshold behavior of good code sequences. The two secure coding schemes
together establish an achievable rate-equivocation region, which almost covers
the secrecy capacity-equivocation region in this case study. The proposed
secure coding scheme is extended to a type II binary symmetric wiretap channel.
A new achievable perfect secrecy rate, which improves upon the previously
reported result by Thangaraj et al., is derived for this channel.


title:
Multiple Access Channels with Generalized Feedback and Confidential
  Messages

abstract:
  This paper considers the problem of secret communication over a multiple
access channel with generalized feedback. Two trusted users send independent
confidential messages to an intended receiver, in the presence of a passive
eavesdropper. In this setting, an active cooperation between two trusted users
is enabled through using channel feedback in order to improve the communication
efficiency. Based on rate-splitting and decode-and-forward strategies,
achievable secrecy rate regions are derived for both discrete memoryless and
Gaussian channels. Results show that channel feedback improves the achievable
secrecy rates.


title: Binary Stars as the Source of the Far-UV Excess in Elliptical Galaxies

abstract:
  The discovery of an excess of light in the far-ultraviolet (UV) spectrum in
elliptical galaxies was a major surprise in 1969. While it is now clear that
this UV excess is caused by an old population of hot helium-burning stars
without large hydrogen-rich envelopes rather than young stars, their origin has
remained a mystery. Here we show that these stars most likely lost their
envelopes because of binary interactions, similar to the hot subdwarf
population in our own Galaxy. This has major implications for understanding the
evolution of the UV excess and of elliptical galaxies in general. In
particular, it implies that the UV excess is not a sign of age, as had been
postulated previously, and predicts that it should not be strongly dependent on
the metallicity of the population.


title: Two-Pulse Propagation in Media with Quantum-Mixed Ground States

abstract:
  We examine fully coherent two-pulse propagation in a lambda-type medium,
under two-photon resonance conditions and including inhomogeneous broadening.
We examine both the effects of short pulse preparation and the effects of
medium preparation. We contrast cases in which the two pulses have matched
envelopes or not, and contrast cases in which ground state coherence is present
or not. We find that an extended interpretation of the Area Theorem for
single-pulse self-induced transparency (SIT) is able to unify two-pulse
propagation scenarios, including some aspects of electromagnetically-induced
transparency (EIT) and stimulated Raman scattering (SRS). We present numerical
solutions of both three-level and adiabatically reduced two-level density
matrix equations and Maxwell's equations, and show that many features of the
solutions are quickly interpreted with the aid of analytic solutions that we
also provide for restricted cases of pulse shapes and preparation of the
medium. In the limit of large one-photon detuning, we show that the two-level
equations commonly used are not reliable for pulse Areas in the 2$\pi$ range,
which allows puzzling features of previous numerical work to be understood.


title: Choice of Measurement Sets in Qubit Tomography

abstract:
  Optimal generalized measurements for state estimation are well understood.
However, practical quantum state tomography is typically performed using a
fixed set of projective measurements and the question of how to choose these
measurements has been largely unexplored in the literature. In this work we
develop theoretical asymptotic bounds for the average fidelity of pure qubit
tomography using measurement sets whose axes correspond to vertices of Platonic
solids. We also present complete simulations of maximum likelihood tomography
for mixed qubit states using the Platonic solid measurements. We show that
overcomplete measurement sets can be used to improve the accuracy of
tomographic reconstructions.


title: Instability of holographic dark energy models

abstract:
  We investigate the difference between holographic dark energy, Chaplygin gas,
and tachyon model with constant potential. For this purpose, we examine their
squared speeds of sound which are evaluated to zeroth order in perturbation
theory and hence depends only on time. We find that the squared speed for
holographic dark energy is always negative when choosing the future event
horizon as the IR cutoff, while those for Chaplygin gas and tachyon are
non-negative. This means that the perfect fluid for holographic dark energy is
classically unstable. Hence the holographic interpretation for Chaplygin gas
and tachyon is problematic.


title: Diffusion of Macromolecules across the Nuclear Pore Complex

abstract:
  Nuclear pore complexes (NPCs) are very selective filters that monitor the
transport between the cytoplasm and the nucleoplasm. Two models have been
suggested for the plug of the NPC. They are (i) it is a reversible hydrogel or
(ii) it is a polymer brush. We propose a mesoscopic model for the transport of
a protein through the plug, that is general enough to cover both. The protein
stretches the plug and creates a local deformation. The bubble so created
(prtoein+deformation) executes random walk in the plug. We find that for faster
relaxation of the gel, the diffusion of the bubble is greater. Further, on
using parameters appropriate for the brush, we find that the diffusion
coefficient is much lower. Hence the gel model seems to be more likely
explanation for the workings of the plug.

categories: cond-mat.soft cond-mat.stat-mech physics.bio-ph q-bio.CB


title:
Sharp linear and bilinear restriction estimates for paraboloids in the
  cylindrically symmetric case

abstract:
  For cylindrically symmetric functions dyadically supported on the paraboloid,
we obtain a family of sharp linear and bilinear adjoint restriction estimates.
As corollaries, we first extend the ranges of exponents for the classical
\textit{linear or bilinear adjoint restriction conjectures} for such functions
and verify the \textit{linear adjoint restriction conjecture} for the
paraboloid. We also interpret the restriction estimates in terms of solutions
to the Schr\"odinger equation and establish the analogous results when the
paraboloid is replaced by the lower third of the sphere.


title:
Correlation between transport properties and lattice effects in the
  NdCoO3 based catalysts and sensor materials

abstract:
  This study presents correlations between the structural and transport
properties of pure and doped neodymium cobaltate, a compound of great interest
for its foreseen applications as catalyst, sensor and thermoelectric material.
Neutron and x-ray powder diffraction data have been combined to carefully
determine lattice constants and atomic positions and four probe direct current
conductivity and thermoelectric power measurements allowed us to follow the
thermal evolution of the transport properties of these compounds. The dramatic
improvement of the room temperature conductivity of Nd0.8Ca0.2CoO3 with respect
to the pure and the Na-doped compound is explained in terms of a different
spin-state for the Co ions within this structure. The higher conductivity and
the absence of anomalies in the thermal expansion makes the Ca-doped compound
more attractive than the pure NdCoO3 in view of possible applications. The
experimental data and the Co environment analysis here discussed, in particular
bond lengths distortion and bending angles, are fully consistent with a spin
state (low to intermediate) transition in NdCoO3


title: Uppers to zero and semistar operations in polynomial rings

abstract:
  Given a stable semistar operation of finite type $\star$ on an integral
domain $D$, we show that it is possible to define in a canonical way a stable
semistar operation of finite type $[\star]$ on the polynomial ring $D[X]$, such
that $D$ is a $\star$-quasi-Pr\"ufer domain if and only if each upper to zero
in $D[X]$ is a quasi-$[\star]$-maximal ideal. This result completes the
investigation initiated by Houston-Malik-Mott \cite[Section 2]{hmm} in the star
operation setting. Moreover, we show that $D$ is a Pr\"ufer
$\star$-multiplication (resp., a $\star$-Noetherian; a $\star$-Dedekind) domain
if and only if $D[X]$ is a Pr\"ufer $[\star]$-multiplication (resp., a
$[\star]$-Noetherian; a $[\star]$-Dedekind) domain. As an application of the
techniques introduced here, we obtain a new interpretation of the
Gabriel-Popescu localizing systems of finite type on an integral domain $D$
(Problem 45 of \cite{cg}), in terms of multiplicatively closed sets of the
polynomial ring $D[X]$.


title:
Dynamics and neutrino signal of black hole formation in non-rotating
  failed supernovae. I. EOS dependence

abstract:
  We study the black hole formation and the neutrino signal from the
gravitational collapse of a non-rotating massive star of 40 Msun. Adopting two
different sets of realistic equation of state (EOS) of dense matter, we perform
the numerical simulations of general relativistic neutrino-radiation
hydrodynamics under the spherical symmetry. We make comparisons of the core
bounce, the shock propagation, the evolution of nascent proto-neutron star and
the resulting re-collapse to black hole to reveal the influence of EOS. We also
explore the influence of EOS on the neutrino emission during the evolution
toward the black hole formation. We find that the speed of contraction of the
nascent proto-neutron star, whose mass increases fast due to the intense
accretion, is different depending on the EOS and the resulting profiles of
density and temperature differ significantly. The black hole formation occurs
at 0.6-1.3 sec after bounce when the proto-neutron star exceeds its maximum
mass, which is crucially determined by the EOS. We find that the average
energies of neutrinos increase after bounce because of rapid temperature
increase, but at different speeds depending on the EOS. The duration of
neutrino emission up to the black hole formation is found different according
to the different timing of re-collapse. These characteristics of neutrino
signatures are distinguishable from those for ordinary proto-neutron stars in
successful core-collapse supernovae. We discuss that a future detection of
neutrinos from black-hole-forming collapse will contribute to reveal the black
hole formation and to constrain the EOS at high density and temperature.


title: Suppression of Heating Rates in Cryogenic Surface-Electrode Ion Traps

abstract:
  Dense arrays of trapped ions provide one way of scaling up ion trap quantum
information processing. However, miniaturization of ion traps is currently
limited by sharply increasing motional state decoherence at sub-100 um
ion-electrode distances. We characterize heating rates in cryogenically cooled
surface-electrode traps, with characteristic sizes in 75 um to 150 um range.
Upon cooling to 6 K, the measured rates are suppressed by 7 orders of
magnitude, two orders of magnitude below previously published data of similarly
sized traps operated at room temperature. The observed noise depends strongly
on fabrication process, which suggests further improvements are possible.


title:
Scanning tunneling spectroscopy of inhomogeneous electronic structure in
  monolayer and bilayer graphene on SiC

abstract:
  We present a scanning tunneling spectroscopy (STS) study of the local
electronic structure of single and bilayer graphene grown epitaxially on a
SiC(0001) surface. Low voltage topographic images reveal fine, atomic-scale
carbon networks, whereas higher bias images are dominated by emergent spatially
inhomogeneous large-scale structure similar to a carbon-rich reconstruction of
SiC(0001). STS spectroscopy shows a ~100meV gap-like feature around zero bias
for both monolayer and bilayer graphene/SiC, as well as significant spatial
inhomogeneity in electronic structure above the gap edge. Nanoscale structure
at the SiC/graphene interface is seen to correlate with observed electronic
spatial inhomogeneity. These results are important for potential devices
involving electronic transport or tunneling in graphene/SiC.


title: A surprising method for polarising antiprotons

abstract:
  We propose a method for polarising antiprotons in a storage ring by means of
a polarised positron beam moving parallel to the antiprotons. If the relative
velocity is adjusted to $v/c \approx 0.002$ the cross section for spin-flip is
as large as about $2 \cdot 10^{13}$ barn as shown by new QED-calculations of
the triple spin-cross sections. Two possibilities for providing a positron
source with sufficient flux density are presented. A polarised positron beam
with a polarisation of 0.70 and a flux density of approximately $1.5 \cdot
10^{10}$/(mm$^2$ s) appears to be feasible by means of a radioactive $^{11}$C
dc-source. A more involved proposal is the production of polarised positrons by
pair production with circularly polarised photons. It yields a polarisation of
0.76 and requires the injection into a small storage ring. Such polariser
sources can be used at low (100 MeV) as well as at high (1 GeV) energy storage
rings providing a time of about one hour for polarisation build-up of about
$10^{10}$ antiprotons to a polarisation of about 0.18. A comparison with other
proposals show a gain in the figure-of-merit by a factor of about ten.


title: Photoproduction of Hadron Pairs at Fixed-Target Experiments

abstract:
  We consider the photoproduction of two hadrons in polarized lepton-nucleon
collisions in the framework of perturbative QCD at the next-to-leading order
accuracy. After illustrating how to obtain the experimentally relevant
observables, a phenomenological study of the photoproduction of hadron pairs at
high transverse momenta is presented. We show theoretical predictions for the
relevant cross sections at COMPASS and HERMES kinematics as well as theoretical
uncertainties.


title: Evolutionary stage of the spectral variable BD+48 1220=IRAS 05040+4820

abstract:
  Based on high-resolution observations (R=60000 and 75000), we have studied
the optical spectral variability of the star BD+48 1220 (IRAS05040+4820). We
have measured the equivalent widths of numerous absorption lines of neutral
atoms and ions at wavelengths from 4500 to 6760 AA, as well as the
corresponding radial velocities. We use model atmospheres to determine
Teff=7900K, log g=0.0, microturbulence velocity xi_t=6.0, and the abundances
for 16 elements. The star's metallicity differs little from the solar value:
[Fe/H]=-0.10 dex. The main peculiarity of the chemical composition of the star
is a large He-excess, derived from the HeI 5876 A absorption, [He/H]=+1.04, and
the equally large O-excess, [O/Fe]=+0.72 dex. The C-excess is small,
[C/Fe]=+0.09 dex, and the ratio [C/O]$\le$ 1. We obtained a revised relation
for the light-metal abundances: [Na/Fe]=+0.87 with [Mg/Fe]=-0.31. The barium
abundance is low, [Ba/Fe]=-0.84. The radial velocity of the star measured from
photospheric absorption lines over three years of observations varies in the
interval V_sun = -(7 - 15) km/s. Time variable differential line shifts have
been revealed. The entire set of available data (the luminosity Mv~-5m,
velocity V_lsr~-20 km/s, metallicity [Fe/H]=-0.10, and peculiarities of the
optical spectrum and chemical composition) confirms the status of BD+48 1220 as
a post-AGB star with He- and O-excesses belonging to the Galactic disk.


title:
Dynamic Exploration of Networks: from general principles to the
  traceroute process

abstract:
  Dynamical processes taking place on real networks define on them evolving
subnetworks whose topology is not necessarily the same of the underlying one.
We investigate the problem of determining the emerging degree distribution,
focusing on a class of tree-like processes, such as those used to explore the
Internet's topology. A general theory based on mean-field arguments is
proposed, both for single-source and multiple-source cases, and applied to the
specific example of the traceroute exploration of networks. Our results provide
a qualitative improvement in the understanding of dynamical sampling and of the
interplay between dynamics and topology in large networks like the Internet.

categories: physics.soc-ph cond-mat.dis-nn cs.NI physics.data-an


title: Molecular gas and star formation in M81

abstract:
  We present IRAM 30m observations of the central 1.6 kpc of the spiral M81
galaxy. The molecular gas appears weak and with an unusual excitation physics.
We discuss a possible link between low CO emission and weak FUV surface
brightness.


title:
Motion of a Vector Particle in a Curved Space-time. IV. Asymptotical
  shape of caustic

abstract:
  The studies of influence of spin on a photon motion in a Schwartzschild
spacetime is continued. In the previous paper [2] the first order correction to
the geodesic motion is reduced to a non-uniform linear ordinary differential
equation and the equation obtained has been solved by the standard method of
integration of the Green function. If each photon draws a world line specified
by this solution then light rays from infinitely distant source form a caustic
which does not appear without the spin-gravity interaction. The goal of the
present work is to obtain explicit form of caustic.


title:
Embedded Stellar Populations towards Young Massive Star Formation
  Regions I. G305.2+0.2

abstract:
  We present deep, wide-field J, H and Ks images taken with IRIS2 on the Anglo
Australian Telescope, towards the massive star formation region G305.2+0.2.
Combined with 3.6, 4.5, 5.8 and 8.0 micron data from the GLIMPSE survey on the
Spitzer Space Telescope, we investigate the properties of the embedded stellar
populations. After removing contamination from foreground stars we separate the
sources based on their IR colour. Strong extended emission in the GLIMPSE
images hampers investigation of the most embedded sources towards the known
sites of massive star formation. However, we find a sizeable population of IR
excess sources in the surrounding region free from these completeness effects.
Investigation reveals the recent star formation activity in the region is more
widespread than previously known.
  Stellar density plots show the embedded cluster in the region, G305.24+0.204,
is offset from the dust emission. We discuss the effect of this cluster on the
surrounding area and argue it may have played a role in triggering sites of
star formation within the region. Finally, we investigate the distribution of
IR excess sources towards the cluster, in particular their apparent lack
towards the centre compared with its immediate environs.


title: Valdivia compact Abelian groups

abstract:
  Let R denote the smallest class of compact spaces containing all metric
compacta and closed under limits of continuous inverse sequences of
retractions. Class R is striclty larger than the class of Valdivia compact
spaces. We show that every compact connected Abelian group which is a
topological retract of a space from class R is necessarily isomorphic to a
product of metric groups. This completes the result of V. Uspenskij and the
author, where a compact connected Abelian group outside class R has been
described.


title: Two Component Baryonic-Dark Matter Structure Formation in Top-Hat Model

abstract:
  In this work we extend simple top-hat model of structure formation to the
two-component system made of baryonic and dark matter. We use
Harrison-Zeldovich spectrum as the initial condition for the structures and
calculate their evolution up to the present time. While we do not take into
account some complications during the structure formation, such as the merging
of galaxies, however this formalism can give us a qualitative picture from the
formation of structures. We show that in this model small scale structures
evolve faster than the larger ones and it predicts a down-top scenario for the
structure formation. The trend of power spectrum in this model is compatible
with the observations and results in $\sigma_8 \sim 0.8$. This formalism
provides an analytic treatment of structure growth and can easily show the
effect of the cosmological parameters on the formation of the structures. As an
example, the effect of a parameterized dark energy model on the growth of the
structures is investigated.


title: Superfluid equation of state of dilute composite bosons

abstract:
  We present an exact theory of the BEC-BCS crossover in the BEC regime, which
treats explicitely dimers as made of two fermions. We apply our framework, at
zero temperature, to the calculation of the equation of state. We find that,
when expanding the chemical potential in powers of the density n up to the
Lee-Huang-Yang order, proportional to n^3/2, the result is identical to the one
of elementary bosons in terms of the dimer-dimer scattering length a_M, the
composite nature of the dimers appearing only in the next order term
proportional to n^2 .


title:
How particles emerge from decaying classical fields in heavy ion
  collisions: towards a kinetic description of the Glasma

abstract:
  We develop the formalism discussed previously in hep-ph/0601209 and
hep-ph/0605246 to construct a kinetic theory that provides insight into the
earliest ``Glasma'' stage of a high energy heavy ion collision. Particles
produced from the decay of classical fields in the Glasma obey a Boltzmann
equation whose novel features include an inhomogeneous source term and new
contributions to the collision term. We discuss the power counting associated
with the different terms in the Boltzmann equation and outline the transition
from the field dominated regime to the particle dominated regime in high energy
heavy ion collisions.


title:
On an explicit construction of Parisi landscapes in finite dimensional
  Euclidean spaces

abstract:
  We construct a N-dimensional Gaussian landscape with multiscale, translation
invariant, logarithmic correlations and investigate the statistical mechanics
of a single particle in this environment. In the limit of high dimension N>>1
the free energy of the system in the thermodynamic limit coincides with the
most general version of Derrida's Generalized Random Energy Model. The
low-temperature behaviour depends essentially on the spectrum of length scales
involved in the construction of the landscape. We argue that our construction
is in fact valid in any finite spatial dimensions, starting from N=1.


title:
Using VO tools to investigate distant radio starbursts hosting obscured
  AGN in the HDF(N) region

abstract:
  A 10-arcmin field around the HDF(N) contains 92 radio sources >40 uJy,
resolved by MERLIN+VLA at 0".2-2".0 resolution. 55 have Chandra X-ray
counterparts including 18 with a hard X-ray photon index and high luminosity
characteristic of a type-II (obscured) AGN. >70% of the radio sources have been
classified as starbursts or AGN using radio morphologies, spectral indices and
comparisons with optical appearance and MIR emission. Starbursts outnumber
radio AGN 3:1. This study extends the VO methods previously used to identify
X-ray-selected obscured type-II AGN to investigate whether very luminous radio
and X-ray emission originates from different phenomena in the same galaxy. The
high-redshift starbursts have typical sizes of 5--10 kpc and star formation
rates of ~1000 Msun/yr. There is no correlation between radio and X-ray
luminosities nor spectral indices at z>~1.3. ~70% of both the radio-selected
AGN and the starburst samples were detected by Chandra. The X-ray luminosity
indicates the presence of an AGN in at least half of the 45 cross-matched radio
starbursts, of which 11 are type-II AGN including 7 at z>1.5. This distribution
overlaps closely with the X-ray detected radio sources which were also detected
by SCUBA. Stacked 1.4-GHz emission at the positions of radio-faint X-ray
sources is correlated with X-ray hardness. Most extended radio starbursts at
z>1.3 host X-ray selected obscured AGN. Radio emission from most of these
ultra-luminous objects is dominated by star formation but it contributes less
than 1/3 of their X-ray luminosity. Our results support the inferences from
SCUBA and IR data, that at z>1.5, star formation is an order of magnitude more
extended and more copious, it is closely linked to AGN activity and it is
triggered differently, compared with star formation at lower redshifts.


title:
Photon spectra from final stages of a primordial black hole evaporation
  in different theoretical models

abstract:
  Possibilities of an experimental search for gamma-ray bursts from primordial
black hole (PBH) evaporations in space are reconsidered. It is argued that the
corresponding constraints which can be obtained in experiments with cosmic ray
detectors strongly depend on theoretical approach used for a description of the
PBH evaporation process. Predictions of several theoretical models for
gamma-ray spectra from final stages of PBH life (integrated over time) are
given.


title:
Analogy between the wave of the falling dominoes and the growth of
  martensitic crystal (a simple enunciating for experimenters)

abstract:
  A number of laws being characteristic for switching waves are illustrated by
the examples of waves of a falling dominoes. The specificity of a switching
wave at the martensite crystal growth caused by dynamic structure of interphase
area is noted. For the first time the influence of finite deformation on the
condition of elastic waves generation by non-equilibrium electrons is
discussed. The rigid regime of initial excitation of waves is connected with
the influence of finite deformations on the threshold value of an inverse
population difference of the electronic states.


title:
The Magellanic Squall: Gas Replenishment from the Small to Large
  Magellanic Cloud

abstract:
  We first show that a large amount of metal-poor gas is stripped from the
Small Magellanic Cloud (SMC) and fallen into the Large Magellanic Cloud (LMC)
during the tidal interaction between the SMC, the LMC, and the Galaxy over the
last 2 Gyrs. We propose that this metal-poor gas can closely be associated with
the origin of LMC's young and intermediate-age stars and star clusters with
distinctively low-metallicities with [Fe/H] < -0.6. We numerically investigate
whether gas initially in the outer part of the SMC's gas disk can be stripped
during the LMC-SMC-Galaxy interaction and consequently can pass through the
central region (R<7.5 kpc) of the LMC. We find that about 0.7 % and 18 % of the
SMC's gas can pass through the central region of the LMC about 1.3 Gyr ago and
0.2 Gyr ago, respectively. The possible mean metallicity of the replenished gas
from the SMC to LMC is about [Fe/H] = -0.9 to -1.0 for the two interacting
phases. These results imply that the LMC can temporarily replenish gas supplies
through the sporadic accretion and infall of metal-poor gas from the SMC. These
furthermore imply that if these gas from the SMC can collide with gas in the
LMC to form new stars in the LMC, the metallicities of the stars can be
significantly lower than those of stars formed from gas initially within the
LMC.


title:
Numerical simulation of spray coalescence in an eulerian framework :
  direct quadrature method of moments and multi-fluid method

abstract:
  The scope of the present study is Eulerian modeling and simulation of
polydisperse liquid sprays undergoing droplet coalescence and evaporation. The
fundamental mathematical description is the Williams spray equation governing
the joint number density function f(v, u; x, t) of droplet volume and velocity.
Eulerian multi-fluid models have already been rigorously derived from this
equation in Laurent et al. (2004). The first key feature of the paper is the
application of direct quadrature method of moments (DQMOM) introduced by
Marchisio and Fox (2005) to the Williams spray equation. Both the multi-fluid
method and DQMOM yield systems of Eulerian conservation equations with
complicated interaction terms representing coalescence. In order to validate
and compare these approaches, the chosen configuration is a self-similar 2D
axisymmetrical decelerating nozzle with sprays having various size
distributions, ranging from smooth ones up to Dirac delta functions. The second
key feature of the paper is a thorough comparison of the two approaches for
various test-cases to a reference solution obtained through a classical
stochastic Lagrangian solver. Both Eulerian models prove to describe adequately
spray coalescence and yield a very interesting alternative to the Lagrangian
solver.


title:
The Virgo - MiniGRAIL cross correlation for the detection of scalar
  gravitational waves

abstract:
  After a review of the frequency - dependent angular pattern of
interferometers in the TT gauge for scalar gravitational waves (SGWs), which
has been recently analysed by Capozziello and Corda, in this letter the result
is used to study the cross correlation between the Virgo interferometer and the
MiniGRAIL resonant sphere. It is shown that the overlap reduction function for
the cross correlation bewteen Virgo and the monopole mode of MiniGRAIL is very
small, but a maximum is also found in the correlation at about 2710Hz, in the
range of the MiniGRAIL sensitivity


title: S-Matrix Poles Close to Thresholds in Confined Geometries

abstract:
  We have studied the behavior of the S-matrix poles near threshold for quantum
waveguides coupled to a cavity with a defect. We emphasize the occurrence of
both dominant and shadow poles on the various sheets of the energy Riemann
surface, and show that the changes of the total conductivity near threshold as
the cavity's width changes can be explained in terms of dominant to shadow pole
transitions.


title: Status of QGSJET

abstract:
  Basic physics concepts of the QGSJET model are discussed, starting from the
general picture of high energy hadronic interactions and addressing in some
detail the treatment of multiple scattering processes, contributions of
``soft'' and ``semihard'' parton dynamics, implementation of non-linear
interaction effects. The predictions of the new model version (QGSJET II.03)
are compared to selected accelerator data. Future developments are outlined and
the expected input from the LHC collider for constraining model predictions is
discussed.


title: Order from Randomness

abstract:
  We consider an elementary discrete process which starts from purely random
configuration and leads to well-ordered and stable state. Complete analytical
solution to this problem is presented.


title: Plumbing the Abyss: Black Ring Microstates

abstract:
  We construct the first smooth, horizonless ``microstate geometries'' that
have the same charges, dipole charges and angular momenta as a BPS black ring
whose horizon is macroscopic. These solutions have exactly the same geometry as
black rings, except that the usual infinite throat is smoothly capped off at a
very large depth. If the solutions preserve a U(1)x U(1) isometry, then this
depth is limited by flux quantization but if this symmetry is broken then the
throat can be made arbitrarily deep by tuning classical, geometric moduli.
Interpreting these ``abysses'' (smooth microstate geometries of arbitrary
depth) from the point of view of the AdS-CFT correspondence suggests two
remarkable alternatives: either stringy effects can eliminate very large
regions of a smooth low-curvature supergravity solution, or the D1-D5-P CFT has
quantum critical points. The existence of solutions whose depth depends on
moduli also enables us to define ``entropy elevators,'' and these provide a new
tool for studying the entropy of BPS and near-BPS black holes.


title:
The formation of black holes in spherically symmetric gravitational
  collapse

abstract:
  We consider the spherically symmetric, asymptotically flat Einstein-Vlasov
system. We find explicit conditions on the initial data, with ADM mass M, such
that the resulting spacetime has the following properties: there is a family of
radially outgoing null geodesics where the area radius r along each geodesic is
bounded by 2M, the timelike lines $r=c\in [0,2M]$ are incomplete, and for r>2M
the metric converges asymptotically to the Schwarzschild metric with mass M.
The initial data that we construct guarantee the formation of a black hole in
the evolution. We also give examples of such initial data with the additional
property that the solutions exist for all $r\geq 0$ and all Schwarzschild time,
i.e., we obtain global existence in Schwarzschild coordinates in situations
where the initial data are not small. Some of our results are also established
for the Einstein equations coupled to a general matter model characterized by
conditions on the matter quantities.


title: Measurement of the Neutrino Asymmetry Parameter B in Neutron Decay

abstract:
  A new measurement of the neutrino asymmetry parameter B in neutron decay, the
angular correlation between neutron spin and anti-neutrino momentum, is
presented. The result, B=0.9802(50), agrees with the Standard Model expectation
and earlier measurements, and permits improved tests on ``new physics'' in
neutron decay.


title: Symbolic Computations for Nonlinear Resonances

abstract:
  Nonlinear dynamics and pattern formation in the systems with quadratic
nonlinearity is computed symbolically by specially developed MATHEMATICA
package. A Web interface for the presented methods is developed, which turns
the implementations from only locally available software to Web-based services
that can be accessed from any computer in the Internet that is equipped with a
Web browser. In particular, the results are not bound to the current
Mathematica implementation but can be adapted to any other computer algebra
system (e.g. Maple) or numerical software system (e.g.MATLAB) of similar
expressiveness. Barotropic vorticity equation (=Hasegawa-Mima equation) with
zero boundary conditions on a square is taken as a main example.


title:
Measurement of the p anti-p to t anti-t Production Cross Section and the
  Top Quark Mass at sqrt{s}=1.96 TeV in the All-Hadronic Decay Mode

abstract:
  We report the measurements of the t anti-t production cross section and of
the top quark mass using 1.02 fb^-1 of p anti-p data collected with the CDFII
detector at the Fermilab Tevatron. We select events with six or more jets on
which a number of kinematical requirements are imposed by means of a neural
network algorithm. At least one of these jets must be identified as initiated
by a b-quark candidate by the reconstruction of a secondary vertex. The cross
section is measured to be sigma_{tt}=8.3+-1.0(stat.)+2.0-1.5(syst.)+-0.5(lumi.)
pb, which is consistent with the standard model prediction. The top quark mass
of 174.0+-2.2(stat.)+-4.8(syst.) GeV/c^2 is derived from a likelihood fit
incorporating reconstructed mass distributions representative of signal and
background.


title: Secure Reusable Base-String in Quantum Key Distribution

abstract:
  Protecting secure random key from eavesdropping in quantum key distribution
protocols has been well developed. In this letter, we further study how to
detect and eliminate eavesdropping on the random base string in such protocols.
The correlation between the base string and the key enables Alice and Bob to
use specific privacy amplification to distill and reuse the previously shared
base string with unconditional security and high efficiency. The analysis of
the unconditional secure reusable base string brings about new concept and
protocol design technique.


title: Renormalized Fermi hypernetted chain approach in medium-heavy nuclei

abstract:
  The application of the Correlated basis function theory and of the Fermi
hypernetted chain technique, to the description of the ground state of
medium-heavy nuclei is reviewed. We discuss how the formalism, originally
developed for symmetric nuclear matter, should be changed in order to describe
finite nuclear systems, with different number of protons and neutrons. This
approach allows us to describe doubly closed shell nuclei by using microscopic
nucleon-nucleon interactions. We presents results of numerical calculations
done with two-nucleon interactions of Argonne type,implemented with three-body
forces of Urbana type. Our results regard ground-state energies, matter, charge
and momentum distributions, natural orbits, occupation numbers, quasi-hole wave
functions and spectroscopic factors of 12C, 16O, 40Ca, 48Ca and 208Pb nuclei.


title: Critical tests of unintegrated gluon distributions

abstract:
  We use the unintegrated Parton Density Functions of the gluon obtained from a
fit to measurements of the structure functions F2 and F2c at HERA to describe
the experimental data for F2b, FL and FL at fixed W.


title: On systematic scan for sampling H-colourings of the path

abstract:
  This paper is concerned with sampling from the uniform distribution on
H-colourings of the n-vertex path using systematic scan Markov chains. An
H-colouring of the n-vertex path is a homomorphism from the n-vertex path to
some fixed graph H. We show that systematic scan for H-colourings of the
n-vertex path mixes in O(log n) scans for any fixed H. This is a significant
improvement over the previous bound on the mixing time which was O(n^5) scans.
Furthermore we show that for a slightly more restricted family of H (where any
two vertices are connected by a 2-edge path) systematic scan also mixes in
O(log n) scans for any scan order. Finally, for completeness, we show that a
random update Markov chain mixes in O(n log n) updates for any fixed H,
improving the previous bound on the mixing time from O(n^5) updates.


title:
Scaling theory put into practice: first-principles modeling of transport
  in doped silicon nanowires

abstract:
  We combine the ideas of scaling theory and universal conductance fluctuations
with density-functional theory to analyze the conductance properties of doped
silicon nanowires. Specifically, we study the cross-over from ballistic to
diffusive transport in boron (B) or phosphorus (P) doped Si-nanowires by
computing the mean free path, sample averaged conductance <G>, and
sample-to-sample variations std(G) as a function of energy, doping density,
wire length, and the radial dopant profile. Our main findings are: (i) the main
trends can be predicted quantitatively based on the scattering properties of
single dopants; (ii) the sample-to-sample fluctuations depend on energy but not
on doping density, thereby displaying a degree of universality, and (iii) in
the diffusive regime the analytical predictions of the DMPK theory are in good
agreement with our ab initio calculations.


title:
Selection and reconstruction of very inclined air showers with the
  Surface Detector of the Pierre Auger Observatory

abstract:
  The water-Cherenkov tanks of the Pierre Auger Observatory can detect
particles at all zenith angles and are therefore well-suited for the study of
inclined and horizontal air showers (60 - 90 degrees). Such showers are
characterised by a dominance of the muonic component at ground, and by a very
elongated and asymmetrical footprint which can even exhibit a lobular structure
due to the bending action of the geomagnetic field. Dedicated algorithms for
the selection and reconstruction of such events, as well as the corresponding
acceptance calculation, have been set up on basis of muon maps obtained from
shower simulations.


title: On solutions of the standard-model Lagrangian with a Majorana mass term

abstract:
  It is demonstrated that the standard-model Lagrangian with a Majorana mass
term for the neutrino admits no non-trivial solution. Because the standard
model is generally believed to describe the gauge interactions of neutrinos
correctly, the Majorana mass term must vanish and thus cannot enable
neutrino-less double beta decay. More generally, neutrinos with standard-model
gauge interactions cannot be Majorana fields. Historical reasons why this
conclusion has not been drawn earlier are analyzed.


title:
Earthshine observation of vegetation and implication for life detection
  on other planets - A review of 2001 - 2006 works

abstract:
  The detection of exolife is one of the goals of very ambitious future space
missions that aim to take direct images of Earth-like planets. While
associations of simple molecules present in the planet's atmosphere ($O_2$,
$O_3$, $CO_2$ etc.) have been identified as possible global biomarkers, we
review here the detectability of a signature of life from the planet's surface,
i.e. the green vegetation. The vegetation reflectance has indeed a specific
spectrum, with a sharp edge around 700 nm, known as the "Vegetation Red Edge"
(VRE). Moreover vegetation covers a large surface of emerged lands, from
tropical evergreen forest to shrub tundra. Thus considering it as a potential
global biomarker is relevant. Earthshine allows to observe the Earth as a
distant planet, i.e. without spatial resolution. Since 2001, Earthshine
observations have been used by several authors to test and quantify the
detectability of the VRE in the Earth spectrum. The egetation spectral
signature is detected as a small 'positive shift' of a few percents above the
continuum, starting at 700 nm. This signature appears in most spectra, and its
strength is correlated with the Earth's phase (visible land versus visible
ocean). The observations show that detecting the VRE on Earth requires a
photometric relative accuracy of 1% or better. Detecting something equivalent
on an Earth-like planet will therefore remain challenging, moreover considering
the possibility of mineral artifacts and the question of 'red edge'
universality in the Universe.


title:
Mott insulators and correlated superfluids in ultracold Bose-Fermi
  mixtures

abstract:
  We study the effects of interaction between bosons and fermions in a
Bose-Fermi mixtures loaded in an optical lattice. We concentrate on the
destruction of a bosonic Mott phase driven by repulsive interaction between
bosons and fermions. Once the Mott phase is destroyed, the system enters a
superfluid phase where the movements of bosons and fermions are correlated. We
show that this phase has simultaneously correlations reminiscent of a
conventional superfluid and of a pseudo-spin density wave order.


title: Finding gaps in a spectrum

abstract:
  We propose a method for finding gaps in the spectrum of a differential
operator. When applied to the one-dimensional Hamiltonian of the quartic
oscillator, a simple algebraic algorithm is proposed that, step by step,
separates with a remarkable precision all the energies even for a double-well
configuration in a tunnelling regime. Our strategy may be refined and
generalised to a large class of 1d-problems.


title:
Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low
  and High Energy Phenomenology

abstract:
  Best-fit values of recent global analyzes of neutrino data imply large solar
neutrino mixing, vanishing U_{e3} and a non-maximal atmospheric neutrino mixing
angle theta_{23}. We show that these values emerge naturally by the hypothesis
of "scaling" in the Majorana neutrino mass matrix, which states that the ratios
of its elements are equal. It also predicts an inverted hierarchy for the
neutrino masses. We point out several advantages and distinguishing tests of
the scaling hypothesis compared to the L_e - L_mu - L_tau flavor symmetry,
which is usually assumed to provide an understanding of the inverted hierarchy.
Scenarios which have initially vanishing U_{e3} and maximal atmospheric
neutrino mixing are shown to be unlikely to lead to non-maximal theta_{23}
while keeping simultaneously U_{e3} zero. We find a peculiar ratio of the
branching ratios mu -> e gamma and tau -> e gamma in supersymmetric seesaw
frameworks, which only depends on atmospheric neutrino mixing and results in
tau -> e gamma being unobservable. The consequences of the scaling hypothesis
for high energy astrophysical neutrinos at neutrino telescopes are also
investigated. Then we analyze a seesaw model based on the discrete symmetry D_4
times Z_2 leading to scaling in the low energy mass matrix and being capable of
generating the baryon asymmetry of the Universe via leptogenesis. The relevant
CP phase is identical to the low energy Majorana phase and successful
leptogenesis requires an effective mass for neutrinoless double beta decay
larger than 0.045 eV.


title: Cosmic Microwave Background Quadrupole and Ellipsoidal Universe

abstract:
  Recent Wilkinson Microwave Anisotropy Probe (WMAP) data confirm the Cosmic
Microwave Background (CMB) quadrupole anomaly. We further elaborate our
previous proposal that the quadrupole power can be naturally suppressed in
axis-symmetric universes. In particular, we discuss in greater detail the CMB
quadrupole anisotropy and considerably improve our analysis. As a result, we
obtain tighter constraints on the direction of the axis of symmetry as well as
on the eccentricity at decoupling. We find that the quadrupole amplitude can be
brought in accordance with observations with an eccentricity at decoupling of
about 0.35 10^{-2}. Moreover, our determination of the direction of the
symmetry axis is in reasonable agreement with recent statistical analyses of
cleaned CMB temperature fluctuation maps obtained by means of improved internal
linear combination methods as Galactic foreground subtraction technique.


title:
Magnetic confinement of the superconducting condensate in
  superconductor/ferromagnet hybrid composites

abstract:
  The influence of an inhomogeneous magnetic field on the magnetoresistance of
thin Al films, used in different superconductor/ferromagnet hybrids, has been
investigated. Two contrasting magnetic textures with out-of-plane magnetization
are explored, namely (i) a plain film in a multidomain state and (ii) an array
of micro-sized dots. The stray fields of the ferromagnetic structures confine
the superconducting condensate and, accordingly, modify the condition for the
nucleation of superconductivity. By switching between different magnetic states
of the ferromagnet, this confinement can be tuned at will, hereby reversibly
changing the dependence of the critical temperature Tc on an external magnetic
field H. In particular, the continuous evolution from a conventional linear
Tc(H) dependence with a single maximum to a reentrant superconducting phase
boundary with multiple Tc peaks has been demonstrated.


title:
A Model for the Formation of Large Circumbinary Disks Around Post AGB
  Stars

abstract:
  We propose that the large, radius of ~1000 AU, circumbinary rotating disks
observed around some post-asymptotic giant branch (post-AGB) binary stars are
formed from slow AGB wind material that is pushed back to the center of the
nebula by wide jets. We perform 2D-axisymmetrical numerical simulations of fast
and wide jets that interact with the previously ejected slow AGB wind. In each
system there are two oppositely launched jets, but we use the symmetry of the
problem and simulate only one jet. A large circularization-flow (vortex) is
formed to the side of the jet which together with the thermal pressure of the
shocked jet material accelerate cold slow-wind gas back to the center from
distances of ~1000-10000 AU. We find for the parameters we use that up to 0.001
Mo is back-flowing to the center. We conjecture that the orbital angular
momentum of the disk material results from the non-axisymmetric structure of
jets launched by an orbiting companion. This conjecture will have to be tested
with 3D numerical codes.


title:
Reachability and recoverability of sink nodes in growing acyclic
  directed networks

abstract:
  We study the growth of networks from a set of isolated ground nodes by the
addition of one new node per time step and also of a fixed number of directed
edges leading from the new node to randomly selected nodes already in the
network. A fixed-width time window is used so that, in general, only nodes that
entered the network within the latest window may receive new incoming edges.
The resulting directed network is acyclic at all times and allows some of the
ground nodes, then called sinks, to be reached from some of the non-ground
nodes. We regard such networks as representative of abstract systems of
partially ordered constituents, for example in some of the domains related to
technological evolution. Two properties of interest are the number of sinks
that can be reached from a randomly chosen non-ground node (its reach) and, for
a fixed sink, the number of nonoverlapping directed paths through which the
sink can be reached, at a given time, from some of the latest nodes to have
entered the network. We demonstrate, by means of simulations and also of
analytic characterizations, that reaches are distributed according to a power
law and that the desired directed paths are expected to occur in very small
numbers, perhaps indicating that recovering sinks late in the process of
network growth is strongly sensitive to accidental path disruptions.


title: The Higgs mechanism as a cut-off effect

abstract:
  We compute the Coleman-Weinberg potential with a finite cut-off for pure
SU(2) and SU(3) five-dimensional gauge theories compactified on an interval. We
show that besides the expected Coulomb phase located at and in the vicinity of
the free infrared stable or "trivial" fixed point, the theory possesses also a
Higgs phase. We compare the results from the potential computation with lattice
data from simulations.


title: Twist two operators at finite volume

abstract:
  We calculate the volume corrections to the two-pion matrix element of twist
two operators.


title:
Birefringence (rotation of polarization plane and spin dichroism) of
  deuterons in carbon target

abstract:
  Birefringence phenomenon for deuteron with energy up 20 MeV in carbon target
is considered. The estimation for spin dichroism and for angle of rotation of
polarization plane of deuterons is presented. It is shown that magnitude of the
phenomenon strongly depends on behavior of the deuteron wave functions on small
distance between nucleon in deuteron.


title: High-E_T dijet photoproduction at HERA

abstract:
  The cross section for high-E_T dijet production in photoproduction has been
measured with the ZEUS detector at HERA using an integrated luminosity of 81.8
pb-1. The events were required to have a virtuality of the incoming photon,
Q^2, of less than 1 GeV^2 and a photon-proton centre-of-mass energy in the
range 142 < W < 293 GeV. Events were selected if at least two jets satisfied
the transverse-energy requirements of E_T(jet1) > 20 GeV and E_T(jet2) > 15 GeV
and pseudorapidity requirements of -1 < eta(jet1,2) < 3, with at least one of
the jets satisfying -1 < eta(jet) < 2.5. The measurements show sensitivity to
the parton distributions in the photon and proton and effects beyond
next-to-leading order in QCD. Hence these data can be used to constrain further
the parton densities in the proton and photon.


title:
The Camassa-Holm equation as a geodesic flow for the $H^1$
  right-invariant metric

abstract:
  The fundamental role played by the Lie groups in mechanics, and especially by
the dual space of the Lie algebra of the group and the coadjoint action are
illustrated through the Camassa-Holm equation (CH). In 1996 Misio{\l}ek
observed that CH is a geodesic flow equation on the group of diffeomorphisms,
preserving the $H^1$ metric. This example is analogous to the Euler equations
in hydrodynamics, which describe geodesic flow for a right-invariant metric on
the infinite-dimensional group of diffeomorphisms preserving the volume element
of the domain of fluid flow and to the Euler equations of rigid body whith a
fixed point, describing geodesics for a left-invariant metric on SO(3). The
momentum map and an explicit parametrization of the Virasoro group, related to
recently obtained solutions for the CH equation are presented.


title:
Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic
  Field

abstract:
  We consider a D7-brane probe of $AdS_{5}\times S^5$ in the presence of pure
gauge $B$-field. The dual gauge theory is flavored Yang-Mills theory in
external magnetic field. We explore the dependence of the fermionic condensate
on the bare quark mass $m_{q}$ and study the discrete self-similar behavior of
the theory near the origin of the parametric space. We calculate the critical
exponents of the bare quark mass and the fermionic condensate. A study of the
meson spectrum supports the expectation based on thermodynamic considerations
that at zero bare quark mass the stable phase of the theory is a chiral
symmetry breaking one. Our study reveals the self-similar structure of the
spectrum near the critical phase of the theory, characterized by zero fermionic
condensate and we calculate the corresponding critical exponent of the meson
spectrum.


title:
Java Components Vulnerabilities - An Experimental Classification
  Targeted at the OSGi Platform

abstract:
  The OSGi Platform finds a growing interest in two different applications
domains: embedded systems, and applications servers. However, the security
properties of this platform are hardly studied, which is likely to hinder its
use in production systems. This is all the more important that the dynamic
aspect of OSGi-based applications, that can be extended at runtime, make them
vulnerable to malicious code injection. We therefore perform a systematic audit
of the OSGi platform so as to build a vulnerability catalog that intends to
reference OSGi Vulnerabilities originating in the Core Specification, and in
behaviors related to the use of the Java language. Standard Services are not
considered. To support this audit, a Semi-formal Vulnerability Pattern is
defined, that enables to uniquely characterize fundamental properties for each
vulnerability, to include verbose description in the pattern, to reference
known security protections, and to track the implementation status of the
proof-of-concept OSGi Bundles that exploit the vulnerability. Based on the
analysis of the catalog, a robust OSGi Platform is built, and recommendations
are made to enhance the OSGi Specifications.


title: Entanglement invariant for the double Jaynes-Cummings model

abstract:
  We study entanglement dynamics between four qubits interacting through two
isolated Jaynes-Cummings hamiltonians, via the entanglement measure based on
the wedge product. We compare the results with similar results obtained using
bipartite concurrence resulting in what is referred to as "entanglement sudden
death". We find a natural entanglement invariant under evolution demonstrating
that entanglement sudden death is caused by ignoring (tracing over) some of the
system's degrees of freedom that become entangled through the interaction.


title: The effect of dwarf galaxies disruption in semi-analytic models

abstract:
  We present results for a galaxy formation model that includes a simple
treatment for the disruption of dwarf galaxies by gravitational forces and
galaxy encounters within galaxy clusters. This is implemented a posteriori in a
semi-analytic model by considering the stability of cluster dark matter
sub-haloes at z=0. We assume that a galaxy whose dark matter substructure has
been disrupted will itself disperse, while its stars become part of the
population of intracluster stars responsible for the observed intracluster
light. Despite the simplicity of this assumption, our results show a
substantial improvement over previous models and indicate that the inclusion of
galaxy disruption is indeed a necessary ingredient of galaxy formation models.
We find that galaxy disruption suppresses the number density of dwarf galaxies
by about a factor of two. This makes the slope of the faint end of the galaxy
luminosity function shallower, in agreement with observations. In particular,
the abundance of faint, red galaxies is strongly suppressed. As a result, the
luminosity function of red galaxies and the distinction between the red and the
blue galaxy populations in colour-magnitude relationships are correctly
predicted. Finally, we estimate a fraction of intracluster light comparable to
that found in clusters of galaxies.


title: Inverse Systems and I-Favorable Spaces

abstract:
  A compact space X is I-favorable if, and only if X can be representing as a
limit of $\sigma$-complete inverse system of compact metrizable spaces with
skeletal bonding maps.


title: Geometric generalizations in Kresin-Maz'ya Sharp Real-Part Theorems

abstract:
  In the present article we give geometric generalizations of the estimates
from Chapters 5,6,7 from \cite{krem:gnus}, while extending their sharpness to
new cases.


title: Some remarks on mirror symmmetry and noncommutative elliptic curves

abstract:
  This paper agrees basically with the talk of the author at the workshop
"Homological Mirror Symmetry and Applications", Institute for Advanced Study,
Princeton, March 2007.


title:
Random Sampling of Entire Functions of Exponential Type in Several
  Variables

abstract:
  We consider the problem of random sampling for band-limited functions. When
can a band-limited function $f$ be recovered from randomly chosen samples
$f(x_j), j\in \mathbb{N}$? We estimate the probability that a sampling
inequality of the form
  A\|f\|_2^2 \leq \sum_{j\in \mathbb{N}} |f(x_j)|^2 \leq B \|f\|_2^2 hold
uniformly all functions $f\in L^2(\mathbb{R}^d)$ with supp $\hat{f} \subseteq
[-1/2,1/2]^d$ or some subset of \bdl functions. In contrast to discrete models,
the space of band-limited functions is infinite-dimensional and its functions
"live" on the unbounded set $\mathbb{R}^d$. This fact raises new problems and
leads to both negative and positive results. (a) With probability one, the
sampling inequality fails for any reasonable definition of a random set on
$\mathbb{R}^d$, e.g., for spatial Poisson processes or uniform distribution
over disjoint cubes. (b) With overwhelming probability, the sampling inequality
holds for certain compact subsets of the space of band-limited functions and
for sufficiently large sampling size.


title: Condensate Fraction of a Two-Dimensional Attractive Fermi Gas

abstract:
  We investigate the Bose-Einstein condensation of fermionic pairs in a
two-dimensional uniform two-component Fermi superfluid obtaining an explicit
formula for the condensate density as a function of the chemical potential and
the energy gap. By using the mean-field extended BCS theory, we analyze, as a
function of the bound-state energy, the off-diagonal long-range order in the
crossover from the Bardeen-Cooper-Schrieffer (BCS) state of weakly-bound Cooper
pairs to the Bose-Einstein Condensate (BEC) of strongly-bound molecular dimers.


title:
Transverse momentum and pseudorapidity dependences of $'\bm{Mach-like}'$
  correlations for central Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

abstract:
  The transverse momentum and pseudorapidity dependences of partonic
{`\it{Mach-like}'} shock wave have been studied by using a multi-phase
transport model (AMPT) with both partonic and hadronic interactions. The
splitting parameter $D$, i.e. half distance between two splitting peaks on away
side in di-hadron azimuthal angular ($\Delta\phi$) correlations, slightly
increases with the transverse momentum of associated hadrons ($p^{assoc}_T$),
which is consistent with preliminary experimental trend, owing to different
interaction-lengths/numbers between wave partons and medium in strong parton
cascade. On the other hand, the splitting parameter $D$ as a function of
pseudorapidity of associated hadrons ($\eta^{assoc}$), keeps flat in
mid-pseudorapidity region and rapidly drops in high-pseudorapidity region,
which is as a result of different violent degrees of jet-medium interactions in
the medium that has different energy densities in the longitudinal direction.
It is proposed that the research on the properties of {`\it{Mach-like}'}
correlation can shed light on the knowledge of both partonic and hadronic
interactions at RHIC.


title: Quantum switching networks for perfect qubit routing

abstract:
  We develop the work of Christandl et al. [M. Christandl, N. Datta, T. C.
Dorlas, A. Ekert, A. Kay, and A. J. Landahl, Phys. Rev. A 71, 032312 (2005)],
to show how a d-hypercube homogenous network can be dressed by additional links
to perfectly route quantum information between any given input and output nodes
in a duration which is independent of the routing chosen and, surprisingly,
size of the network.