title: Dynamics of Siegel Rational Maps with Prescribed Combinatorics

abstract:
  We extend Thurston's combinatorial criterion for postcritically finite
rational maps to a class of rational maps with bounded type Siegel disks. The
combinatorial characterization of this class of Siegel rational maps plays a
special role in the study of general Siegel rational maps. As one of the
applications, we prove that for any quadratic rational map with a bounded type
Siegel disk, the boundary of the Siegel disk is a quasi-circle which passes
through one or both of the critical points.


title:
Initial orientation effect and selecting desired events in 520AMeV/u U-U
  collisions

abstract:
  How to select out those collisions with the desired geometry such as tip-tip
and/or body-body in experiment is one key point for performing high energy UU
collisions. With a relativistic transport model, we performed a simulation for
deformed UU collision with vast different orientations at CSR energy area
corresponding to the high net-baryon density region in QCD phase diagram. By
investigating the centrality and initial collision orientation dependence of
the center baryon density, we found that the tip-tip like UU collisions with
extended high density phase, which is very important for studying the nuclear
EoS of high baryon density matter and the possible end-point of the phase
boundary, are those events with small initial orientations ($\leq20^{0}$) for
bath projectile and target in reaction plane and small impact parameter
($\leq2.6fm$). We pointed out quantificationally two observations --
multiplicity of forward neutron and nuclear stopping power that both allows us
to select out those most interesting events (i.e. tip-tip like), which will be
very helpful for the future experiments at performing UU collisions.


title: Topological Anderson Insulator

abstract:
  Disorder plays an important role in two dimensions, and is responsible for
striking phenomena such as metal insulator transition and the integral and
fractional quantum Hall effects. In this paper, we investigate the role of
disorder in the context of the recently discovered topological insulator, which
possesses a pair of helical edge states with opposing spins moving in opposite
directions and exhibits the phenomenon of quantum spin Hall effect. We predict
an unexpected and nontrivial quantum phase termed "topological Anderson
insulator," which is obtained by introducing impurities in a two-dimensional
metal; here disorder not only causes metal insulator transition, as
anticipated, but is fundamentally responsible for creating extended edge
states. We determine the phase diagram of the topological Anderson insulator
and outline its experimental consequences.


title: New SETI Sky Surveys for Radio Pulses

abstract:
  Berkeley conducts 7 SETI programs at IR, visible and radio wavelengths. Here
we review two of the newest efforts, Astropulse and Fly's Eye.
  A variety of possible sources of microsecond to millisecond radio pulses have
been suggested in the last several decades, among them such exotic events as
evaporating primordial black holes, hyper-flares from neutron stars, emissions
from cosmic strings or perhaps extraterrestrial civilizations, but to-date few
searches have been conducted capable of detecting them.
  We are carrying out two searches in hopes of finding and characterizing these
mu-s to ms time scale dispersed radio pulses. These two observing programs are
orthogonal in search space; the Allen Telescope Array's (ATA) "Fly's Eye"
experiment observes a 100 square degree field by pointing each 6m ATA antenna
in a different direction; by contrast, the Astropulse sky survey at Arecibo is
extremely sensitive but has 1/3,000 of the instantaneous sky coverage.
Astropulse's multibeam data is transferred via the internet to the computers of
millions of volunteers. These computers perform a coherent de-dispersion
analysis faster than the fastest available supercomputers and allow us to
resolve pulses as short as 400 ns. Overall, the Astropulse survey will be 30
times more sensitive than the best previous searches. Analysis of results from
Astropulse is at a very early stage.
  The Fly's Eye was successfully installed at the ATA in December of 2007, and
to-date approximately 450 hours of observation has been performed. We have
detected three pulsars and six giant pulses from the Crab pulsar in our
diagnostic pointing data. We have not yet detected any other convincing bursts
of astronomical origin in our survey data. (Abridged)


title: On the 2d Zakharov system with L^2 Schr\"odinger data

abstract:
  We prove local in time well-posedness for the Zakharov system in two space
dimensions with large initial data in L^2 x H^{-1/2} x H^{-3/2}. This is the
space of optimal regularity in the sense that the data-to-solution map fails to
be smooth at the origin for any rougher pair of spaces in the L^2-based Sobolev
scale. Moreover, it is a natural space for the Cauchy problem in view of the
subsonic limit equation, namely the focusing cubic nonlinear Schroedinger
equation. The existence time we obtain depends only upon the corresponding
norms of the initial data - a result which is false for the cubic nonlinear
Schroedinger equation in dimension two - and it is optimal because
Glangetas-Merle's solutions blow up at that time.


title:
Bounds on Rayleigh-Benard convection with general thermal boundary
  conditions. Part 1. Fixed Biot number boundaries

abstract:
  We investigate the influence of the thermal properties of the boundaries in
turbulent Rayleigh-Benard convection on analytical bounds on convective heat
transport. Using the Doering-Constantin background flow method, we
systematically formulate a bounding principle on the Nusselt-Rayleigh number
relationship for general mixed thermal boundary conditions of constant Biot
number \eta which continuously interpolates between the previously studied
fixed temperature ($\eta = 0$) and fixed flux ($\eta = \infty$) cases, and
derive explicit asymptotic and rigorous bounds. Introducing a control parameter
R as a measure of the driving which is in general different from the usual
Rayleigh number Ra, we find that for each $\eta > 0$, as R increases the bound
on the Nusselt number Nu approaches that for the fixed flux problem.
Specifically, for $0 < \eta \leq \infty$ and for sufficiently large R ($R > R_s
= O(\eta^{-2})$ for small \eta) the Nusselt number is bounded as $Nu \leq
c(\eta) R^{1/3} \leq C Ra^{1/2}$, where C is an \eta-independent constant. In
the $R \to \infty$ limit, the usual fixed temperature assumption is thus a
singular limit of this general bounding problem.


title:
Preparation of Decoherence Free Cluster States with Optical
  Superlattices

abstract:
  We present a protocol to prepare decoherence free cluster states using
ultracold atoms loaded in a two dimensional superlattice. The superlattice
geometry leads to an array of 2*2 plaquettes, each of them holding four
spin-1/2 particles that can be used for encoding a single logical qubit in the
two-fold singlet subspace, insensitive to uniform magnetic field fluctuations
in any direction. Dynamical manipulation of the supperlattice yields distinct
inter and intra plaquette interactions and permits to realize one qubit and two
qubit gates with high fidelity, leading to the generation of universal cluster
states for measurement based quantum computation. Our proposal based on inter
and intra plaquette interactions also opens the path to study polymerized
Hamiltonians which support ground states describing arbitrary quantum circuits.


title:
Gauge Covariance Relations and the Fermion Propagator in
  Maxwell-Chern-Simons QED3

abstract:
  We study the gauge covariance of the fermion propagator in
Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering
four-component spinors with parity-even and parity-odd mass terms both for
fermions and photons. Starting with its tree level expression in the Landau
gauge, we derive a non perturbative expression for this propagator in an
arbitrary covariant gauge by means of its Landau-Khalatnikov-Fradkin
transformation (LKFT). We compare our findings in the weak coupling regime with
the direct one-loop calculation of the two-point Green function and observe
perfect agreement up to a gauge independent term. We also reproduce results
derived in earlier works as special cases of our findings.


title:
Bounds on Rayleigh-B\'enard convection with imperfectly conducting
  plates

abstract:
  We investigate the influence of the thermal properties of the boundaries in
turbulent Rayleigh-B\'enard convection on analytical upper bounds on convective
heat transport. We model imperfectly conducting bounding plates in two ways:
using idealized mixed thermal boundary conditions of constant Biot number
$\eta$, continuously interpolating between the previously studied fixed
temperature ($\eta = 0$) and fixed flux ($\eta = \infty$) cases; and by
explicitly coupling the evolution equations in the fluid in the Boussinesq
approximation through temperature and flux continuity to identical upper and
lower conducting plates. In both cases, we systematically formulate a bounding
principle and obtain explicit upper bounds on the Nusselt number $Nu$ in terms
of the usual Rayleigh number $Ra$ measuring the average temperature drop across
the fluid layer, using the ``background method'' developed by Doering and
Constantin. In the presence of plates, we find that the bounds depend on
$\sigma = d/\lambda$, where $d$ is the ratio of plate to fluid thickness and
$\lambda$ is the conductivity ratio, and that the bounding problem may be
mapped onto that for Biot number $\eta = \sigma$. In particular, for each
$\sigma > 0$, for sufficiently large $Ra$ (depending on $\sigma$) we show that
$Nu \leq c(\sigma) R^{1/3} \leq C Ra^{1/2}$, where $C$ is a
$\sigma$-independent constant, and where the control parameter $R$ is a
Rayleigh number defined in terms of the full temperature drop across the entire
plate-fluid-plate system. In the $Ra \to \infty$ limit, the usual fixed
temperature assumption is a singular limit of the general bounding problem,
while fixed flux conditions appear most relevant to the asymptotic $Nu$--$Ra$
scaling even for highly conducting plates.


title: Unscreening Effect on Fe-Pnictide Superconductor

abstract:
  We study a microscopic mechanism of Fe-pnictide superconductor, considering
the screening effects of Coulomb interaction in addition to the conventional
spin-fluctuation mechanism. It is shown that, by electron doping, the
transition temperature of superconductivity increases due to the "unscreening"
effect even though the density of states decrease, while that of spin-density
wave rapidly decreases due to breaking of nesting conditions. Our results give
a clear interpretation to the mystery of interrelation between T_c and the
density of states observed in the Fe-pnictide superconductors.


title: Clustering of Meter-wave Luminous Objects toward Monoceros

abstract:
  A distribution of the meter-wave luminous objects, which are bright at
frequency 74 MHz (a wavelength of 4 m) but not detectable at 1.4 GHz (21 cm) in
the VLA surveys, shows a notable concentration in a scale of a few degrees
toward Monoceros [(l, b)=(225, 4)]. We argue that it is a part of giant radio
relics associated with a nearby cluster of galaxies with cz~2400$ km s^{-1}
centered on the spiral galaxy NGC 2377. The angular separation of these objects
from the clustering center is consistent with the separation of distant relics
to the cluster center if scaled by distance. This fact implies that the
concentrations of meter-wave luminous objects can be used as a tracer of the
structure of the Local Supercluster and it's vicinity.


title:
Spontaneous mass current and textures of p-wave superfluids of trapped
  Fermionic atom gases at rest and under rotation

abstract:
  It is found theoretically based on the Ginzburg-Landau framework that p-wave
superfluids of neutral atom gases in three dimension harmonic traps exhibit
spontaneous mass current at rest, whose direction depends on trap geometry.
Under rotation various types of the order parameter textures are stabilized,
including Mermin-Ho and Anderson-Toulouse-Chechetkin vortices. In a cigar shape
trap spontaneous current flows longitudial to the rotation axis and thus
perpendicular to the ordinary rotational current. These features, spontaneous
mass current at rest and texture formation, can be used as diagnoses for p-wave
superfluidity.


title:
Exact phase transition of backtrack-free search with implications on the
  power of greedy algorithms

abstract:
  Backtracking is a basic strategy to solve constraint satisfaction problems
(CSPs). A satisfiable CSP instance is backtrack-free if a solution can be found
without encountering any dead-end during a backtracking search, implying that
the instance is easy to solve. We prove an exact phase transition of
backtrack-free search in some random CSPs, namely in Model RB and in Model RD.
This is the first time an exact phase transition of backtrack-free search can
be identified on some random CSPs. Our technical results also have interesting
implications on the power of greedy algorithms, on the width of random
hypergraphs and on the exact satisfiability threshold of random CSPs.


title: Monopoles and Modifications of Bundles over Elliptic Curves

abstract:
  Modifications of bundles over complex curves is an operation that allows one
to construct a new bundle from a given one. Modifications can change a
topological type of bundle. We describe the topological type in terms of the
characteristic classes of the bundle. Being applied to the Higgs bundles
modifications establish an equivalence between different classical integrable
systems. Following Kapustin and Witten we define the modifications in terms of
monopole solutions of the Bogomolny equation. We find the Dirac monopole
solution in the case $R $\times$ (elliptic curve). This solution is a
three-dimensional generalization of the Kronecker series. We give two
representations for this solution and derive a functional equation for it
generalizing the Kronecker results. We use it to define Abelian modifications
for bundles of arbitrary rank. We also describe non-Abelian modifications in
terms of theta-functions with characteristic.


title: Sets of integers that do not contain long arithmetic progressions

abstract:
  In 1946, Behrend gave a construction of dense finite sets of integers that do
not contain 3-term arithmetic progressions. In 1961, Rankin generalized
Behrend's construction to sets avoiding k-term arithmetic progressions, and in
2008 Elkin refined Behrend's 3-term construction. In this work, we combine
Elkin's refinement and Rankin's generalization. Arithmetic progressions are
handled as a special case of polynomial progressions.
  In 1946, Behrend gave a construction of dense finite sets of integers that do
not contain a 3-term arithmetic progression (AP). In 1961, Rankin generalized
Behrend's construction to sets avoiding k-term APs. In 2008, Elkin refined
Behrend's 3-term construction, and later in 2008, Green & Wolf found a distinct
approach (albeit morally similar) that is technically more straightforward.
This work combines Elkin's refinement and Rankin's generalization in the Green
& Wolf framework. A curious aspect of the construction is that we induct
through sets that do not contain a long polynomial progression in order to
construct a set without a long AP. The bounds for r_k(N), the largest size of a
subset of {1,2,...,N} that does not contain a k element AP, are (where
\log=\log_2, for sufficiently large N, with n=\ceiling{\log k}): r_3(N) > N
(\sqrt{360}/(e \pi^{3/2})-\epsilon) \sqrt[4]{2\log N} * 4^{-\sqrt{2 \log N}},
r_k(N) > CN 2^{-n 2^{(n-1)/2} \sqrt[n]{\log N}+\frac{1}{2n}\log\log N}. The
improvement over earlier work is in the simplification of the construction, the
explicitness of the bound for r_3, and in the \log\log term for general k.


title:
Three-dimensional angular momentum projected relativistic point-coupling
  approach for the low-lying excited states in $^{24}$Mg

abstract:
  A full three-dimensional angular momentum projection on top of a triaxial
relativistic mean-Geld calculation is implemented for the first time. The
underlying Lagrangian is a point coupling model and pairing correlations are
taken into account by a monopole force. This method is applied for the
low-lying excited states in 24Mg. Good agreement with the experimental data is
found for the ground state properties. A minimum in the potential energy
surface for the 2+ state, with beta = 0.55, gamma = 10 deg, is used as the
basis to investigate the rotational energy spectrum as well as the
corresponding B(E2) transition probabilities as compared to the available data.


title: Effective non-vanishing conjectures for projective threefolds

abstract:
  Let X be a smooth projective threefold, and let A be an ample line bundle
such that $K_X+A$ is nef. We show that if $K_X$ or $-K_X$ is pseudoeffective,
the adjoint bundle $K_X+A$ has global sections. We also give a very short proof
of the Beltrametti-Sommese conjecture in dimension three, recently proven by
Fukuma: if A is an ample line bundle such that $K_X+2A$ is nef, the adjoint
bundle $K_X+2A$ has global sections.


title: 3D Molecular dynamics simulations using spheropolytopes

abstract:
  We present a simple and efficient method to simulate three-dimensional,
complex-shaped, interacting bodies. The particle shape is represented by
Minkowski operators. A time-continuous interaction between these bodies is
derived using simple concepts of computational geometry. The model (particles +
interactions) is efficient, accurate and easy to implement, and it complies
with the conservation laws of physics. 3D simulations of hopper flow shows that
the non-convexity of the particles strongly effects the jamming on granular
flow.


title: A Structure Theory for Small Sum Subsets

abstract:
  We develop a new method leading the structure of finite subsets S and T of an
abelian group with $|S+T|\le |S|+|T|$. We show also how to recover the known
results in this area in a relatively short space.


title: Dynamic External Hashing: The Limit of Buffering

abstract:
  Hash tables are one of the most fundamental data structures in computer
science, in both theory and practice. They are especially useful in external
memory, where their query performance approaches the ideal cost of just one
disk access. Knuth gave an elegant analysis showing that with some simple
collision resolution strategies such as linear probing or chaining, the
expected average number of disk I/Os of a lookup is merely $1+1/2^{\Omega(b)}$,
where each I/O can read a disk block containing $b$ items. Inserting a new item
into the hash table also costs $1+1/2^{\Omega(b)}$ I/Os, which is again almost
the best one can do if the hash table is entirely stored on disk. However, this
assumption is unrealistic since any algorithm operating on an external hash
table must have some internal memory (at least $\Omega(1)$ blocks) to work
with. The availability of a small internal memory buffer can dramatically
reduce the amortized insertion cost to $o(1)$ I/Os for many external memory
data structures. In this paper we study the inherent query-insertion tradeoff
of external hash tables in the presence of a memory buffer. In particular, we
show that for any constant $c>1$, if the query cost is targeted at
$1+O(1/b^{c})$ I/Os, then it is not possible to support insertions in less than
$1-O(1/b^{\frac{c-1}{4}})$ I/Os amortized, which means that the memory buffer
is essentially useless. While if the query cost is relaxed to $1+O(1/b^{c})$
I/Os for any constant $c<1$, there is a simple dynamic hash table with $o(1)$
insertion cost. These results also answer the open question recently posed by
Jensen and Pagh.


title: Some remarks on the action of Quantum Isometry Groups

abstract:
  We give a new sufficient condition on a spectral triple to ensure that the
quantum group of orientation and volume preserving isometries defined in
\cite{qorient} has a $C^*$-action on the underlying $C^*$ algebra.


title: Dynamical versus statistical mesoscopic models for DNA denaturation

abstract:
  We recently proposed a dynamical mesoscopic model for DNA, which is based,
like statistical ones, on site-dependent finite stacking and pairing
enthalpies. In the present article, we first describe how the parameters of
this model are varied to get predictions in better agreement with experimental
results that were not addressed up to now, like mechanical unzipping, the
evolution of the critical temperature with sequence length, and temperature
resolution. We show that the model with the new parameters provides results
that are in quantitative agreement with those obtained from statistical models.
Investigation of the critical properties of the dynamical model suggests that
DNA denaturation looks like a first-order phase transition in a broad
temperature interval, but that there necessarily exists, very close to the
critical temperature, a crossover to another regime. The exact nature of the
melting dynamics in this second regime still has to be elucidated. We finally
point out that the descriptions of the physics of the melting transition
inferred from statistical and dynamical models are not completely identical and
discuss the relevance of our model from the biological point of view.


title:
Description of non-specific DNA-protein interaction and facilitated
  diffusion with a dynamical model

abstract:
  We propose a dynamical model for non-specific DNA-protein interaction, which
is based on the 'bead-spring' model previously developed by other groups, and
investigate its properties using Brownian Dynamics simulations. We show that
the model successfully reproduces some of the observed properties of real
systems and predictions of kinetic models. For example, sampling of the DNA
sequence by the protein proceeds via a succession of 3d motion in the solvent,
1d sliding along the sequence, short hops between neighboring sites, and
intersegmental transfers. Moreover, facilitated diffusion takes place in a
certain range of values of the protein effective charge, that is, the
combination of 1d sliding and 3d motion leads to faster DNA sampling than pure
3d motion. At last, the number of base pairs visited during a sliding event is
comparable to the values deduced from single-molecule experiments. We also
point out and discuss some discrepancies between the predictions of this model
and some recent experimental results as well as some hypotheses and predictions
of kinetic models.


title: Quantum Isometry Group for Spectral Triples with Real Structure

abstract:
  Given a spectral triple of compact type with a real structure in the sense of
[Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of
Connes' original definition to accommodate examples coming from quantum group
theory) and references therein, we prove that there is always a universal
object in the category of compact quantum group acting by orientation
preserving isometries (in the sense of [Bhowmick J., Goswami D., J. Funct.
Anal. 257 (2009), 2530-2572]) and also preserving the real structure of the
spectral triple. This gives a natural definition of quantum isometry group in
the context of real spectral triples without fixing a choice of 'volume form'
as in [Bhowmick J., Goswami D., J. Funct. Anal. 257 (2009), 2530-2572].


title: Non-relativistic CFT and Semi-classical Strings

abstract:
  We study different features of 3D non-relativistic CFT using gravity
description. As the corresponding gravity solution can be embedded into the
type IIB string theory, we study semi-classical closed/open strings in this
background. In particular we consider folded rotating and circular pulsating
closed strings where we find the anomalous dimension of the dual operators as a
function of their quantum numbers. We also consider moving open strings in this
background which can be used to compute the drag force. In particular we find
that for slowly moving particles, the energy is lost exponentially and the
characteristic time is given in terms of the temperature, while for fast moving
particles the energy loss goes as inverse of the time and the characteristic
time is independent of the temperature.


title:
Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various
  Dimensions II -- Asymptotically AdS Topological Black Holes --

abstract:
  We study asymptotically AdS topological black hole solutions with k=0 (plane
symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a
"cosmological constant" in various dimensions. We derive the field equations
for suitable ansatz for general D dimensions. We determine the parameter
regions including dilaton couplings where such solutions exist and construct
black hole solutions of various masses numerically in D=4,5,6 and 10
dimensional spacetime with (D-2)-dimensional hypersurface of zero curvature.


title:
Nuclear quadrupole moment of 43Ca and hyperfine structure studies of its
  singly charged ion

abstract:
  By combining our theoretical calculation and recently measured electric
quadrupole hyperfine structure constant of the $3d ^2D_{5/2}$ state in the
singly ionized $^{43}$Ca, we determine its nuclear quadrupole moment to one
percent accuracy. The obtained result, $-0.0444(6)b$, is about ten percent
improvement over the considered standard value. We have employed the
relativistic coupled-cluster theory at single and double excitations level to
calculate the electronic wave functions. The accuracy of these wave functions
are estimated by comparing our calculated magnetic dipole hyperfine constants
with their corresponding available experimental results of many low-lying
states. We also present hyperfine structure constants for other higher excited
states where experimental results are not reported. Role of the Breit
interaction has been investigated in these properties.


title:
Excitation of spin waves on a cylindrical semiconductor heterostructure
  with Rashba spin-orbit interaction

abstract:
  Elementary excitations in a paramagnetic semiconductor quantum well confined
to a cylindrical surface are theoretically studied on the basis of coupled
spin-charge drift-diffusion equations. The electric-field-mediated eigenmodes
are optically excited by an oscillating interference pattern, which induces a
current in the outer circuit. For a cylinder with a given radius, sharp
resonances are predicted to occur in the steady-state current response, which
are due to weakly damped spin remagnetization waves.


title:
Classical Langevin dynamics of a charged particle moving on a sphere and
  diamagnetism: A surprise

abstract:
  It is generally known that the orbital diamagnetism of a classical system of
charged particles in thermal equilibrium is identically zero -- the Bohr-van
Leeuwen theorem. Physically, this null result derives from the exact
cancellation of the orbital diamagnetic moment associated with the complete
cyclotron orbits of the charged particles by the paramagnetic moment subtended
by the incomplete orbits skipping the boundary in the opposite sense. Motivated
by this crucial, but subtle role of the boundary, we have simulated here the
case of a finite but \emph{unbounded} system, namely that of a charged particle
moving on the surface of a sphere in the presence of an externally applied
uniform magnetic field. Following a real space-time approach based on the
classical Langevin equation, we have computed the orbital magnetic moment which
now indeed turns out to be non-zero, and has the diamagnetic sign. To the best
of our knowledge, this is the first report of the possibility of finite
classical diamagnetism in principle, and it is due to the avoided cancellation.


title: Spatial discretization of Cuntz algebras

abstract:
  The (abstract) Cuntz algebra is generated by non-unitary isometries and has
therefore no intrinsic finiteness properties. To approximate the elements of
the Cuntz algebra by finite-dimensional objects, we thus consider a spatial
discretization of this algebra by the finite sections method. For we represent
the Cuntz algebra as a (concrete) algebra of operators on a Hilbert space and
associate with each operator in this algebra the sequence of its finite
sections. The goal of this paper is to examine the structure of the
$C^*$-algebra which is generated by all sequences of this form. Our main
results are the fractality of a suitable restriction of this sequence algebra
and a necessary and sufficient criterion for the stability of sequences in the
restricted algebra. These results are employed to study spectral and
pseudospectral approximations of elements of the Cuntz algebra.


title:
Counting operator analysis of the discrete spectrum of some model
  Hamiltonians

abstract:
  The first step in the counting operator analysis of the spectrum of any model
Hamiltonian H is the choice of a Hermitean operator M in such a way that the
third commutator with H is proportional to the first commutator. Next one
calculates operators R and R^\dagger which share some of the properties of
creation and annihilation operators, and such that $M$ becomes a counting
operator. The spectrum of H is then decomposed into multiplets, not determined
by the symmetries of H, but by those of a reference Hamiltonian H_ref, which is
defined by H_ref=H-R-R^\dagger, and which commutes with M. Finally, we
introduce the notion of stable eigenstates. It is shown that under rather weak
conditions one stable eigenstate can be used to construct another one.


title: Nambu-like odd brackets on supermanifolds

abstract:
  The Grassmann-odd Nambu-like brackets corresponding to an arbitrary Lie
superalgebra and realized on the supermanifolds are proposed.


title: Exact and asymptotic $n$-tuple laws at first and last passage

abstract:
  Understanding the space-time features of how a L\'evy process crosses a
constant barrier for the first time, and indeed the last time, is a problem
which is central to many models in applied probability such as queueing theory,
financial and actuarial mathematics, optimal stopping problems, the theory of
branching processes to name but a few. In \cite{KD} a new quintuple law was
established for a general L\'evy process at first passage below a fixed level.
In this article we use the quintuple law to establish a family of related joint
laws, which we call $n$-tuple laws, for L\'evy processes, L\'evy processes
conditioned to stay positive and positive self-similar Markov processes at both
first and last passage over a fixed level. Here the integer $n$ typically
ranges from three to seven. Moreover, we look at asymptotic overshoot and
undershoot distributions and relate them to overshoot and undershoot
distributions of positive self-similar Markov processes issued from the origin.
Although the relation between the $n$-tuple laws for L\'evy processes and
positive self-similar Markov processes are straightforward thanks to the
Lamperti transformation, by inter-playing the role of a (conditioned) stable
processes as both a (conditioned) L\'evy processes and a positive self-similar
Markov processes, we obtain a suite of completely explicit first and last
passage identities for so-called Lamperti-stable L\'evy processes. This leads
further to the introduction of a more general family of L\'evy processes which
we call hypergeometric L\'evy processes, for which similar explicit identities
may be considered.


title: Color Lie algebras and Lie algebras of order F

abstract:
  The notion of color algebras is generalized to the class of F-ary algebras,
and corresponding decoloration theorems are established. This is used to give a
construction of colored structures by means of tensor products with
Clifford-like algebras. It is moreover shown that color algebras admit
realisations as q=0 quon algebras.


title: Analysis of the N=4 Hubbard ring using a counting operator

abstract:
  We prove three theorems about the use of a counting operator to study the
spectrum of model Hamiltonians. We analytically calculate the eigenvalues of
the Hubbard ring with four lattice positions and apply our theorems to describe
the observed level crossings.


title: Pattern formation in systems with competing interactions

abstract:
  There is a growing interest, inspired by advances in technology, in the low
temperature physics of thin films. These quasi-2D systems show a wide range of
ordering effects including formation of striped states, reorientation
transitions, bubble formation in strong magnetic fields, etc. The origins of
these phenomena are, in many cases, traced to competition between short ranged
exchange ferromagnetic interactions, favoring a homogeneous ordered state, and
the long ranged dipole-dipole interaction, which opposes such ordering on the
scale of the whole sample. The present theoretical understanding of these
phenomena is based on a combination of variational methods and a variety of
approximations, e.g., mean-field and spin-wave theory. The comparison between
the predictions of these approximate methods and the results of MonteCarlo
simulations are often difficult because of the slow relaxation dynamics
associated with the long-range nature of the dipole-dipole interactions. In
this note we will review recent work where we prove existence of periodic
structures in some lattice and continuum model systems with competing
interactions. The continuum models have also been used to describe
micromagnets, diblock polymers, etc.


title: Out-of-equilibrium bosons on a one-dimensional optical random lattice

abstract:
  We study the transport properties of a one-dimensional hard-core boson
lattice gas coupled to two particle reservoirs at different chemical potentials
generating a current flow through the system. In particular, the influence of
random fluctuations of the underlying lattice on the stationary state
properties is investigated. We show analytically that the steady-state density
presents a linear profile. The local steady-state current obeys the Fourier law
$j=-\kappa(\tau)\nabla \rho $ where $\tau$ is a typical timescale of the
lattice fluctuations and $\nabla \rho$ the density gradient imposed %on the
system by the reservoirs.


title:
Factorization of percolation density correlation functions for clusters
  touching the sides of a rectangle

abstract:
  We consider the density at a point z = x + i y of critical percolation
clusters that touch the left [P_L(z)], right [P_R(z)], or both [P_{LR}(z)]
sides of a rectangular system, with open boundary conditions on the top and
bottom. The ratio C(z) = P_{LR}(z) / sqrt[P_L(z) P_R(z) Pi_h], where Pi_h is
the probability of horizontal crossing given by Cardy, is a universal function
of z and goes to a constant value C_0 = 2^(7/2) 3^(-3/4) pi^(5/2)
Gamma(1/3)^(-9/2) = 1.0299268... far from the ends. We observe numerically that
C(z) depends upon x but not y for wired b.c., and this result leads to an
explicit expression for C(z) via conformal field theory. For the semi-infinite
strip we also derive explict expressions for P_L(z), P_R(z), and P_{LR}(z), for
both wired and open b.c. Our results enable calculation of the finite-size
corrections to the factorization near an isolated anchor point, for the case of
clusters anchored at two boundary points. Finally, we present numerical results
for a rectangle with periodic b.c. in the horizontal direction, and find that
C(z) approaches a constant value C_1 = 1.022.


title:
Reply to the Comment, arXiv:0810.3243v1 by B. Geyer, G. L.
  Klimchitskaya, U. Mohideen, and. V. M. Mostepanenko

abstract:
  It is shown that criticism of my paper arXiv:0801.0656 Phys. Rev. Lett, vol.
101, 163202 (2008) by the authors of Comment arXiv:0810.3243v1 is wrong and
that their main arguments are in contradiction with established concepts of
statistical physics.


title: Chemical versus van der Waals Interaction: The Role of the Heteroatom

abstract:
  We performed first-principles calculations aimed to investigate the role of
an heteroatom like N in the chemical and the long-range van der Waals (vdW)
interactions for a flat adsorption of several pi-conjugated molecules on the
Cu(110) surface. Our study reveals that the alignment of the molecular orbitals
at adsorbate-substrate interface depends on the number of heteroatoms. As a
direct consequence, the molecule-surface vdW interactions involve not only
pi-like orbitals which are perpendicular to the molecular plane but also
sigma-like orbitals delocalized in the molecular plane.


title: Adapted complex structures and the geodesic flow

abstract:
  In this paper, we give a new construction of the adapted complex structure on
a neighborhood of the zero section in the tangent bundle of a compact,
real-analytic Riemannian manifold. Motivated by the "complexifier" approach of
T. Thiemann as well as certain formulas of V. Guillemin and M. Stenzel, we
obtain the polarization associated to the adapted complex structure by applying
the "imaginary-time geodesic flow" to the vertical polarization. Meanwhile, at
the level of functions, we show that every holomorphic function is obtained
from a function that is constant along the fibers by "composition with the
imaginary-time geodesic flow." We give several equivalent interpretations of
this composition, including a convergent power series in the vector field
generating the geodesic flow.


title:
Spin-driven Phase Transitions in ZnCr$_2$Se$_4$ and ZnCr$_2$S$_4$ Probed
  by High Resolution Synchrotron X-ray and Neutron Powder Diffraction

abstract:
  The crystal and magnetic structures of the spinel compounds ZnCr$_2$S$_4$ and
ZnCr$_2$Se$_4$ were investigated by high resolution powder synchrotron and
neutron diffraction. ZnCr$_2$Se$_4$ exhibits a first order phase transition at
$T_N=21$ K into an incommensurate helical magnetic structure. Magnetic
fluctuations above $T_N$ are coupled to the crystal lattice as manifested by
negative thermal expansion. Both, the complex magnetic structure and the
anomalous structural behavior can be related to magnetic frustration.
Application of an external magnetic field shifts the ordering temperature and
the regime of negative thermal expansion towards lower temperatures. Thereby,
the spin ordering changes into a conical structure. ZnCr$_2$S$_4$ shows two
magnetic transitions at $T_{N1}=15$ K and $T_{N2}=8$ K that are accompanied by
structural phase transitions. The crystal structure transforms from the cubic
spinel-type (space group $Fd$\={3}$m$) at high temperatures in the paramagnetic
state, via a tetragonally distorted intermediate phase (space group $I4_1$ /
$amd$) for $T_{N2} < T < T_{N1}$ into a low temperature orthorhombic phase
(space group $I m m a$) for $T < T_{N2}$. The cooperative displacement of
sulfur ions by exchange striction is the origin of these structural phase
transitions. The low temperature structure of ZnCr$_2$S$_4$ is identical to the
orthorhombic structure of magnetite below the Verwey transition. When applying
a magnetic field of 5 T the system shows an induced negative thermal expansion
in the intermediate magnetic phase as observed in ZnCr$_2$Se$_4$.


title:
Theoretical analysis of the performance of a diffraction grating back-
  reflector in infrared-sensitive solar cells

abstract:
  The increase of cell efficiency resulting from using a diffraction grating as
a back reflector is investigated. An enhancement coefficient is introduced as a
figure of merit that accounts for the ability of the rear grating to increase
the generation of electric carriers. According to results in this paper, a
diffraction-grating-like relief on the rear face of the photovoltaic cell may
reduce the intensity of the specular reflection while favouring the intensity
of high-angle rays. In this way, the path-length of reflected rays increases,
and so does the efficiency of the cell.


title:
Electromagnetic properties of the Delta(1232) and decuplet baryons in
  the self-consistent SU(3) chiral quark-soliton model

abstract:
  We examine the electromagnetic properties of the Delta(1232) resonance within
the self-consistent chiral quark-soliton model. In particular we present the
Delta form factors of the vector-current GE0, GE2 and GM1 for a
momentum-transfer range of $Q^{2} \leq 1GeV^{2}$. We apply the
symmetry-conserving quantization of the soliton and take 1/N_c rotational
corrections into account. Values for the magnetic moments of all decuplet
baryons as well as for the N-Delta transition are given. Special interest is
also given to the electric quadrupole moment of the Delta.


title: L^p-summability of Riesz means for the sublaplacian on complex spheres

abstract:
  In this paper we study the L^p-convergence of the Riesz means for the
sublaplacian on the sphere S^{2n-1} in the complex n-dimensional space C^n. We
show that the Riesz means of order delta of a function f converge to f in
L^p(S^{2n-1}) when delta>delta(p):=(2n-1)|1\2-1\p|. The index delta(p) improves
the one found by Alexopoulos and Lohoue', $2n|1\2-1\p|$, and it coincides with
the one found by Mauceri and, with different methods, by Mueller in the case of
sublaplacian on the Heisenberg group.


title:
First-principles and semi-empirical van der Waals study of thymine on
  Cu(110) surface

abstract:
  In this study we investigated by means of density functional theory
calculations the adsorption geometry and bonding mechanism of a single thymine
(C$_5$H$_6$N$_2$O$_2$) molecule on Cu(110) surface. In the most stable
energetic configuration, the molecular plane is oriented perpendicular to
substrate along the $[1\bar{1}0]$ direction. For this adsorption geometry, the
thymine molecule interacts with the surface via a deprotonated nitrogen atom
and two oxygen ones such that the bonding mechanism involves a strong
hybridization between the highest occupied molecular orbitals (HOMOs) and the
d-states of the substrate. In the case of a parallel adsorption geometry, the
long-range van der Waals interactions play an important role on both the
molecule-surface geometry and adsorption energy. Their specific role was
analyzed by means of a semi-empirical and the seamless methods. In particular,
for a planar configuration, the inclusion of the dispersion effects
dramatically changes the character of the adsorption process from physisorption
to chemisorption. Finally, we predict the real-space topography of the
molecule-surface interface by simulating scanning tunneling microscopy (STM)
images. From these simulations we anticipate that only certain adsorption
geometries can be imaged in STM experiments.


title:
Fluctuations of the $K/\pi$ Ratio in Nucleus-Nucleus Collisions:
  Statistical and Transport Models

abstract:
  Event-by-event fluctuations of the kaon to pion number ratio in
nucleus-nucleus collisions are studied within the statistical hadron-resonance
gas model (SM) for different statistical ensembles and in the
Hadron-String-Dynamics (HSD) transport approach. We find that the HSD model can
qualitatively reproduce the measured excitation function for the $K/\pi$ ratio
fluctuations in central Au+Au (or Pb+Pb) collisions from low SPS up to top RHIC
energies. Substantial differences in the HSD and SM results are found for the
fluctuations and correlations of the kaon and pion numbers. These predictions
impose a challenge for future experiments.


title: Restricted connections among distinguished players support cooperation

abstract:
  We study the evolution of cooperation within the spatial prisoner's dilemma
game on a square lattice where a fraction of players $\mu$ can spread their
strategy more easily than the rest due to a predetermined larger teaching
capability. In addition, players characterized with the larger teaching
capability are allowed to temporarily link with distant opponents of the same
kind with probability $p$, thus introducing shortcut connections among the
distinguished. We show that these additional temporary connections are able to
sustain cooperation throughout the whole range of the temptation to defect.
Remarkably, we observe that as the temptation to defect increases the optimal
$\mu$ decreases, and moreover, only minute values of $p$ warrant the best
promotion of cooperation. Our study thus indicates that influential individuals
must be few and sparsely connected in order for cooperation to thrive in a
defection prone environment.


title: Intrinsic Response of Graphene Vapor Sensors

abstract:
  Graphene is a purely two-dimensional material that has extremely favorable
chemical sensor properties. It is known, however, that conventional
nanolithographic processing typically leaves a resist residue on the graphene
surface, whose impact on the sensor characteristics of the system has not yet
been determined. Here we show that the contamination layer both degrades the
electronic properties of the graphene and masks graphene s intrinsic sensor
responses. The contamination layer chemically dopes the graphene, enhances
carrier scattering, and acts as an absorbent layer that concentrates analyte
molecules at the graphene surface, thereby enhancing the sensor response. We
demonstrate a cleaning process that verifiably removes the contamination on the
device structure and allows the intrinsic chemical responses of graphene to be
measured.


title: Pairing mechanisms for binary stars

abstract:
  Knowledge of the binary population in stellar groupings provides important
information about the outcome of the star forming process in different
environments. Binarity is also a key ingredient in stellar population studies
and is a prerequisite to calibrate the binary evolution channels. In these
proceedings we present an overview of several commonly used methods to pair
individual stars into binary systems, which we refer to as the pairing
function. Many pairing functions are frequently used by observers and
computational astronomers, either for the mathematical convenience, or because
they roughly describe the expected outcome of the star forming process. We
discuss the consequences of each pairing function for the interpretation of
observations and numerical simulations. The binary fraction and mass ratio
distribution generally depend strongly on the selection of the range in primary
spectral type in a sample. These quantities, when derived from a binary survey
with a mass-limited sample of target stars, are thus not representative for the
population as a whole.


title: Discontinuity of the Lempert function of the spectral ball

abstract:
  We give some further criteria for continuity or discontinuity of the Lempert
funtion of the spectral ball $\Omega_n$, with respect to one or both of its
arguments, in terms of cyclicity the matrices involved.


title: Simulating Protein Conformations through Global Optimization

abstract:
  Many researches have been working on the protein folding problem from more
than half century. Protein folding is indeed one of the major unsolved problems
in science. In this work, we discuss a model for the simulation of protein
conformations. This simple model is based on the idea of imposing few geometric
requirements on chains of atoms representing the backbone of a protein
conformation. The model leads to the formulation of a global optimization
problem, whose solutions correspond to conformations satisfying the desired
requirements. The global optimization problem is solved by the recently
proposed Monkey Search algorithm. The simplicity of the optimization problem
and the effectiveness of the used meta-heuristic search allowed the simulation
of a large set of high-quality conformations. We show that, even though only
few geometric requirements are imposed, some of the simulated conformation
results to be similar (in terms of RMSD) to conformations real proteins
actually have in nature.


title:
An extensive photometric study of the Blazhko RR Lyrae star MW Lyr: II.
  Changes in the physical parameters

abstract:
  The analysis of the multicolour photometric observations of MW Lyr, a large
modulation amplitude Blazhko variable, shows for the first time how the mean
global physical parameters vary during the Blazhko cycle. About 1-2 percent
changes in the mean radius, luminosity and surface effective temperature are
detected. The mean radius and temperature changes are in good accordance with
pulsation model results, which show that these parameters do indeed vary within
this order of magnitude if the amplitude of the pulsation changes
significantly. We interpret the phase modulation of the pulsation to be a
consequence of period changes. Its magnitude corresponds exactly what one
expects from the detected changes of the mean radius assuming that the
pulsation constant remains the same during the modulation. Our results indicate
that during the modulation the pulsation remains purely radial, and the
underlying mechanism is most probably a periodic perturbation of the stellar
luminosity with the modulation period.


title:
Elucidation of the origins of HTSC transport behaviour and quantum
  oscillations

abstract:
  A detailed exposition is made of recent transport and 'quantum oscillation'
results from HTSC systems covering the full range from overdoped to underdoped
material. This now very extensive and high quality data set is interpreted here
within the framework developed by the author of local pairs and boson-fermion
resonance, arising in the context of negative-U behaviour in an inhomogeneous
electronic environment. The strong inhomogeneity comes with the mixed-valent
condition of these materials, which when underdoped lie in close proximity to
the Mott-Anderson transition. The observed intense scattering is presented as
resulting from pair formation and electron-boson collisions in the resonant
crossover circumstance. The high level of scattering brings the systems to
incoherence in the pseudogapped state, p < pc (= 0.183). In a high magnetic
field the striped partition of the inhomogeneous charge distribution is much
strengthened and regularized. Magnetization and resistance oscillations, of
period dictated by the favoured positioning of the square fluxon array within
the real space environment of the diagonal 2D charge striping array, are
demonstrated to be responsible for the recently reported behaviour hitherto
widely attributed to the quantum oscillation response of a much more standard
Fermi liquid condition. A detailed analysis embracing all the experimental data
serves to indicate that in the given conditions of very high field, low
temperature, 2D-striped, underdoped, d-wave superconducting, HTSC material the
flux quantum becomes doubled to h/e.


title: Cross-correlations in scaling analyses of phase transitions

abstract:
  Thermal or finite-size scaling analyses of importance sampling Monte Carlo
time series in the vicinity of phase transition points often combine different
estimates for the same quantity, such as a critical exponent, with the intent
to reduce statistical fluctuations. We point out that the origin of such
estimates in the same time series results in often pronounced
cross-correlations which are usually ignored even in high-precision studies,
generically leading to significant underestimation of statistical fluctuations.
We suggest to use a simple extension of the conventional analysis taking
correlation effects into account, which leads to improved estimators with often
substantially reduced statistical fluctuations at almost no extra cost in terms
of computation time.


title:
A new method for determining physical parameters of fundamental mode RR
  Lyrae stars from multicolour light curves

abstract:
  We present a new method for determining physical parameters of RRab variables
exclusively from multicolour light curves. Our method is an Inverse Photometric
Baade-Wesselink analysis which, using a nonlinear least squares algorithm,
searches for the effective temperature (T_eff) and pulsational velocity (V_p)
curves and other physical parameters that best fit the observed light curves,
utilising synthetic colours and bolometric corrections from static atmosphere
models. The T_eff and V_p curves are initially derived from empirical relations
then they are varied by the fitting algorithm. The method yields the variations
and the absolute values of the radius, the effective temperature, the visual
brightness, and the luminosity of individual objects. Distance and mass are
also determined. The method is tested on 9 RRab stars subjected to
Baade-Wesselink analyses earlier by several authors. The physical parameters
derived by our method using only the light curve data of these stars are well
within their possible ranges defined by direct Baade-Wesselink and other
techniques. A new empirical relation between the I_C magnitude and the
pulsational velocity is also presented, which allows to construct the V_p curve
of an RRab star purely from photometric observations to an accuracy of about
3.5 km/s.


title:
Anomalous gauge couplings of the Higgs boson at the CERN LHC:
  Semileptonic mode in WW scatterings

abstract:
  We make a full tree level study of the signatures of anomalous gauge
couplings of the Higgs boson at the CERN LHC via the semileptonic decay mode in
WW scatterings. Both signals and backgrounds are studied at the hadron level
for the Higgs mass in the range 115 GeV to 200 GeV. We carefully impose
suitable kinematical cuts for suppressing the backgrounds. To the same
sensitivity as in the pure leptonic mode, our result shows that the
semileptonic mode can reduce the required integrated luminosity by a factor of
3. If the anomalous couplings in nature are actually larger than the
sensitivity bounds shown in the text, the experiment can start the test for an
integrated luminosity of 50 inverse fb.


title: Optimal entanglement generation for efficient hybrid quantum repeaters

abstract:
  We propose a realistic protocol to generate entanglement between quantum
memories at neighboring nodes in hybrid quantum repeaters. Generated
entanglement includes only one type of error, which enables efficient
entanglement distillation. In contrast to the known protocols with such a
property, our protocol with ideal detectors achieves the theoretical limit of
the success probability and the fidelity to a Bell state, promising higher
efficiencies in the repeaters. We also show that the advantage of our protocol
remains even with realistic threshold detectors.


title:
Evolution of twist-3 multi-parton correlation functions relevant to
  single transverse-spin asymmetry

abstract:
  We constructed two sets of twist-3 correlation functions that are responsible
for generating the novel single transverse-spin asymmetry in the QCD collinear
factorization approach. We derive evolution equations for these universal
three-parton correlation functions. We calculate evolution kernels relevant to
the gluonic pole contributions to the asymmetry at the order of $\alpha_s$. We
find that all evolution kernels are infrared safe as they should be and have a
lot in common to the DGLAP evolution kernels of unpolarized parton
distributions. By solving the evolution equations, we explicitly demonstrate
the factorization scale dependence of these twist-3 correlation functions.


title:
Higher derivative corrections to black hole thermodynamics from
  supersymmetric matrix quantum mechanics

abstract:
  We perform a direct test of the gauge-gravity duality associated with the
system of N D0-branes in type IIA superstring theory at finite temperature.
Based on the fact that higher derivative corrections to the type IIA
supergravity action start at the order of \alpha'^3, we derive the internal
energy in expansion around infinite 't Hooft coupling up to the subleading term
with one unknown coefficient. The power of the subleading term is shown to be
nicely reproduced by the Monte Carlo data obtained nonperturbatively on the
gauge theory side at finite but large effective (dimensionless) 't Hooft
coupling constant. This suggests, in particular, that the open strings attached
to the D0-branes provide the microscopic origin of the black hole
thermodynamics of the dual geometry including \alpha' corrections. The
coefficient of the subleading term extracted from the fit to the Monte Carlo
data provides a prediction for the gravity side, which can be checked once the
complete form of the O(\alpha'^3) corrections to the supergravity action is
obtained.


title:
Decompositions, approximate structure, transference, and the Hahn-Banach
  theorem

abstract:
  This paper is partly a survey of certain kinds of results and proofs in
additive combinatorics, and partly a discussion of how useful the
finite-dimensional Hahn-Banach theorem can be. The most interesting single
result is probably a simpler proof of a key step in the proof of the Green-Tao
theorem, but several other applications of the method are given. A similarly
simplified proof of the Green-Tao transference principle was obtained
independently (and expressed in a rather different language) by Reingold,
Trevisan, Tulsiani and Vadhan.


title: On the nature of the extragalactic number counts in the K-band

abstract:
  We investigate the causes of the different shape of the $K$-band number
counts when compared to other bands, analyzing in detail the presence of a
change in the slope around $K\sim17.5$. We present a near-infrared imaging
survey, conducted at the 3.5m telescope of the Calar Alto Spanish-German
Astronomical Center (CAHA), covering two separated fields centered on the HFDN
and the Groth field, with a total combined area of $\sim0.27$deg$^{2}$ to a
depth of $K\sim19$ ($3\sigma$,Vega). We derive luminosity functions from the
observed $K$-band in the redshift range [0.25-1.25], that are combined with
data from the references in multiple bands and redshifts, to build up the
$K$-band number count distribution. We find that the overall shape of the
number counts can be grouped into three regimes: the classic Euclidean slope
regime ($d\log N/dm\sim0.6$) at bright magnitudes; a transition regime at
intermediate magnitudes, dominated by $M^{\ast}$ galaxies at the redshift that
maximizes the product $\phi^{\ast}\frac{dV_{c}}{d\Omega}$; and an $\alpha$
dominated regime at faint magnitudes, where the slope asymptotically approaches
-0.4($\alpha$+1) controlled by post-$M^{\ast}$ galaxies. The slope of the
$K$-band number counts presents an averaged decrement of $\sim50%$ in the range
$15.5<K<18.5$ ($d\log N/dm\sim0.6-0.30$). The rate of change in the slope is
highly sensitive to cosmic variance effects. The decreasing trend is the
consequence of a prominent decrease of the characteristic density
$\phi^{\ast}_{K,obs}$ ($\sim60%$ from $z=0.5$ to $z=1.5$) and an almost flat
evolution of $M^{\ast}_{K,obs}$ (1$\sigma$ compatible with
$M^{\ast}_{K,obs}=-22.89\pm0.25$ in the same redshift range).


title: Radio Bimodality: Spin, Accretion Mode, or Both?

abstract:
  A new scenario is suggested to explain a large diversity of the AGN radio
properties and their dependence on the galaxy morphology. The scenario is based
on the assumption that the growth of supermassive BHs is dominated by the
accretion only during the quasar (high accretion rate) phase, otherwise - by
mergers with less massive black holes. Following that, BHs are expected to spin
much faster in giant ellipticals than in disk galaxies. Within the frame of the
spin paradigm this explains the observed relation of the radio-dichotomy with
the galaxy morphology. Various theoretical and observational aspects of such a
dichotomy are discussed. In particular, the issue of the intermittency and
suppression of a jet production at high accretion rates is addressed and a
scenario for production of powerful, extended radio sources is drafted.


title:
Detecting the effect of Globular Cluster impacts on the disk of the
  Milky Way

abstract:
  The crossing of the Galactic disk by a Globular Cluster could produce star
formation due to gravitational focussing or compression of disk material. We
report on simulations of the effect on disk material which reveal that the
crossing can sometimes cause local gravitational focussing of disk material. We
also present the salient points of a little-known paper by Levy (2000), that
shows that strong compression can result from the shock wave generated by GC
disk crossing. The main thrust of our paper is a search for remnants of disk
crossings by Globular Clusters. Using the gravitational potential of the Galaxy
to locate the position of the most recent crossings of a subset of fifty-four
Globular Clusters reveals that systematic errors and uncertainties in initial
conditions limit the scope for unequivocal identification. From the subset of
fifty-four, six possible search sites with the best constraints are retained
for further scrutiny. Three of the six potentially promising search areas in
the disk are from Globular Clusters NGC 3201, 6397 and NGC 6838, for which we
cannot rule out some observed star associations observed nearby as being
remnants. The three other of the six areas are too large to provide meaningful
identification of remnants. Also, a possible remnant (open cluster NGC6231) is
shown not to be due to Globular Cluster impact, contrary to a previous report.
In a more wide-ranging screening of one hundred and fifty-five Globular
Clusters we identify which Globular Clusters are compatible with being
responsible for the formation of any of the Galaxy's five most prominent Star
Super Clusters.


title: Constraints on the density dependence of the symmetry energy

abstract:
  Collisions involving 112Sn and 124Sn nuclei have been simulated with the
improved Quantum Molecular Dynamics transport model. The results of the
calculations reproduce isospin diffusion data from two different observables
and the ratios of neutron and proton spectra. By comparing these data to
calculations performed over a range of symmetry energies at saturation density
and different representations of the density dependence of the symmetry energy,
constraints on the density dependence of the symmetry energy at sub-normal
density are obtained. Results from present work are compared to constraints put
forward in other recent analysis.


title: Quantifying the fast outflow in the luminous Seyfert galaxy PG1211+143

abstract:
  We report two new XMM-Newton observations of PG1211+143 in December 2007,
again finding evidence of the fast outflow of highly ionised gas first detected
in 2001. Stacking the new spectra with those from two earlier XMM-Newton
observations reveals strong and broad emission lines of FeXXV and OVIII,
indicating the fast outflow to be persistent and to have a large covering
factor. This finding confirms a high mass rate for the ionised ouflow in
PG1211+143 and provides the first direct measurement of a wide angle,
sub-relativistic outflow from an AGN transporting mechanical energy with the
potential to disrupt the growth of the host galaxy. We suggest PG1211+143 may
be typical of an AGN in a rapid super-Eddington growth phase.


title:
Specializations of elliptic surfaces, and divisibility in the
  Mordell-Weil group

abstract:
  Let $E$ be an elliptic surface over the curve $C$, defined over a number
field $k$, let $P$ be a section of $E$, and let $\ell$ be a rational prime. For
any non-singular fibre $E_t$, we bound the number of points $Q$ on $E_t$ of
(algebraic) degree at most $D$ over $k$, such that $\ell^n Q=P_t$, for some
$n\geq 1$. The bound obtained depends only on $\ell$, the surface and section
in question, $D$, and the degree $[k(t):k]$; that is, it is uniform across all
fibres of bounded degree. In special cases, we obtain more specific, in some
instances sharp, bounds.


title:
Spectral properties of supersymmetric Polychronakos spin chain
  associated with A_{N-1} root system

abstract:
  By using the exact partition function of su(m|n) Polychronakos spin chain
associated with A_{N-1} root system, we study some statistical properties of
the related spectrum. It is found that the corresponding energy level density
satisfies the Gaussian distribution and the cumulative distribution of spacing
between consecutive energy levels obeys a certain `square root of a logarithm'
law.


title: Red giant stellar collisions in the Galactic Centre

abstract:
  We show that collisions with stellar--mass black holes can partially explain
the absence of bright giant stars in the Galactic Centre, first noted by Genzel
et al, 1996. We show that the missing objects are low--mass giants and AGB
stars in the range 1-3 M$_{\odot}$. Using detailed stellar evolution
calculations, we find that to prevent these objects from evolving to become
visible in the depleted K bands, we require that they suffer collisions on the
red giant branch, and we calculate the fractional envelope mass losses
required. Using a combination of Smoothed Particle Hydrodynamic calculations,
restricted three--body analysis and Monte Carlo simulations, we compute the
expected collision rates between giants and black holes, and between giants and
main--sequence stars in the Galactic Centre. We show that collisions can
plausibly explain the missing giants in the $10.5<K<12$ band. However,
depleting the brighter ($K<10.5$) objects out to the required radius would
require a large population of black hole impactors which would in turn deplete
the $10.5<K<12$ giants in a region much larger than is observed. We conclude
that collisions with stellar--mass black holes cannot account for the depletion
of the very brightest giants, and we use our results to place limits on the
population of stellar--mass black holes in the Galactic Centre.


title:
Universal character and q-difference Painlev\'e equations with affine
  Weyl groups

abstract:
  The universal character is a polynomial attached to a pair of partitions and
is a generalization of the Schur polynomial. In this paper, we introduce an
integrable system of q-difference lattice equations satisfied by the universal
character, and call it the lattice q-UC hierarchy. We regard it as generalizing
both q-KP and q-UC hierarchies. Suitable similarity and periodic reductions of
the hierarchy yield the q-difference Painleve equations of types
$A_{2g+1}^{(1)}$ $(g \geq 1)$, $D_5^{(1)}$, and $E_6^{(1)}$. As its
consequence, a class of algebraic solutions of the q-Painleve equations is
rapidly obtained by means of the universal character. In particular, we
demonstrate explicitly the reduction procedure for the case of type
$E_6^{(1)}$, via the framework of tau-functions based on the geometry of
certain rational surfaces.


title:
Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity
  Correspondence

abstract:
  The contribution presents a summary of the Gauge/Gravity approach to the
study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion
collisions. Considering the ideal case of a supersymmetric Yang-Mills theory
for which the AdS/CFT correspondence gives a precise form of the Gauge/Gravity
duality, the properties of the strongly coupled expanding plasma are put in
one-to-one correspondence with the metric of a 5-dimensional black hole moving
away in the 5th dimension and its deformations consistent with the relevant
Einstein equations. Several recently studied aspects of this framework are
recalled and put in perspective. This paper is a written version of the four
lectures given by the authors on that subject.


title:
Screening effects in a density functional theory based description of
  molecular junctions in the Coulomb blockade regime

abstract:
  We recently introduced a method based on density functional theory (DFT) and
non-equilibrium Green's function techniques (NEGF) for calculating the addition
energies of single molecule nano-junctions in the Coulomb blockade (CB) regime.
Here we apply this approach to benzene molecules lying parallel and at various
distances from two aluminum fcc (111) surfaces, and discuss the distance
dependence in our calculations in terms of electrostatic screening effects. The
addition energies near the surface are reduced by about a factor of two, which
is comparable to previously reported calculations employing a computationally
far more demanding quasi-particle description.


title:
Coexistence of Non-Conventional Condensates in Two-Level Bose Atom
  System

abstract:
  In the framework of the Bogolyubov approximation and using the Bogolyubov
inequalities we give a simple proof of the coexistence of two non-conventional
Bose-Einstein condensates in the case of some superstable Bose system whose
atoms have an internal two-level structure and their energy operators in the
second quantized form depend on the number operators only.


title:
Geometric properties of satisfying assignments of random
  $\epsilon$-1-in-k SAT

abstract:
  We study the geometric structure of the set of solutions of random
$\epsilon$-1-in-k SAT problem. For $l\geq 1$, two satisfying assignments $A$
and $B$ are $l$-connected if there exists a sequence of satisfying assignments
connecting them by changing at most $l$ bits at a time.
  We first prove that w.h.p. two assignments of a random $\epsilon$-1-in-$k$
SAT instance are $O(\log n)$-connected, conditional on being satisfying
assignments. Also, there exists $\epsilon_{0}\in (0,\frac{1}{k-2})$ such that
w.h.p. no two satisfying assignments at distance at least $\epsilon_{0}\cdot n$
form a "hole" in the set of assignments. We believe that this is true for all
$\epsilon >0$, and thus satisfying assignments of a random 1-in-$k$ SAT
instance form a single cluster.


title: Koszul cohomology and applications to moduli

abstract:
  We discuss recent progress on syzygies of curves, including proofs of Green's
and Gonality Conjectures as well as applications of Koszul cycles to the study
of the birational geometry of various moduli spaces of curves. We prove a
number of new results, including a complete solution to Green's Conjecture for
arbitrary hexagonal curves. Finally, we propose several new conjectures on
syzygies, including a Prym-Green conjecture for l-roots of trivial bundles as
well as a strong Maximal Rank Conjecture for generic curves. To appear in the
Proceedings of Clay Mathematical Institute.


title:
Modelling the spring ozone maximum and the interhemispheric asymmetry in
  the remote marine boundary layer 1. Comparison with surface and ozonesonde
  measurements

abstract:
  Here we report a modelling study of the spring ozone maximum and its
interhemispheric asymmetry in the remote marine boundary layer (MBL). The
modelled results are examined at the surface and on a series of time-height
cross sections at several locations spread over the Atlantic, the Indian, and
the Pacific Oceans. Comparison of model with surface measurements at remote MBL
stations indicate a close agreement. The most striking feature of the
hemispheric spring ozone maximum in the MBL can be most easily identified at
the NH sites of Westman Island, Bermuda, and Mauna Loa, and at the SH site of
Samoa. Modelled ozone vertical distributions in the troposphere are compared
with ozone profiles. For the Atlantic and the Indian sites, the model generally
produces a hemispheric spring ozone maximum close to those of the measurements.
The model also produces a spring ozone maximum in the northeastern and tropical
north Pacific close to those measurements, and at sites in the NH high
latitudes. The good agreement between model and measurements indicate that the
model can reproduce the proposed mechanisms responsible for producing the
spring ozone maximum in these regions of the MBL, lending confidence in the use
of the model to investigate MBL ozone chemistry (see part 2 and part 3). The
spring ozone maximum in the tropical central south Pacific and eastern
equatorial Pacific are less well reproduced by the model, indicating that both
the transport of $O_3$ precursors from biomass burning emissions taking place
in southeastern Asia, Australia, Oceania, southern Africa, and South America
are not well represented in the model in these regions. Overall, the model
produces a better simulation at sites where the stratosphere and biomass
burning emissions are the major contributors.


title:
Conventional Superconductivity in Fe-Based Pnictides: the Relevance of
  Intra-Band Electron-Boson Scattering

abstract:
  Various recent experimental data and especially the large Fe-isotope effect
point against unconventional pairings, since the large intra-band impurity
scattering is strongly pair-breaking for them. The strength of the inter-band
impurity scattering in some single crystals may be strong and probably beyond
the Born scattering limit. In that case the proposed s(+-) pairing (hole(h)-
and electron(el)-gaps are of opposite signs) is suppressed but possibly not
completely destroyed. The data imply that the intra-band pairing in the h- and
in the el-band, which are inevitably due to some nonmagnetic el-boson
interaction (EBI), must be taken into account. EBI is either due to phonons
(EPI) or possibly due to excitons (EEI), or both are simultaneously operative.
We discuss their interplay briefly. The large Fe-isotope effect favors the EPI
and the s(+) pairing (the h- and el-gaps are in-phase).


title: Statistical Mechanics of systems with long range interactions

abstract:
  Recent theoretical studies of statistical mechanical properties of systems
with long range interactions are briefly reviewed. In these systems the
interaction potential decays with a rate slower than 1/r^d at large distances r
in d dimensions. As a result, these systems are non-additive and they display
unusual thermodynamic and dynamical properties which are not present in systems
with short range interactions. In particular, the various statistical
mechanical ensembles are not equivalent and the microcanonical specific heat
may be negative. Long range interactions may also result in breaking of
ergodicity, making the maximal entropy state inaccessible from some regions of
phase space. In addition, in many cases long range interactions result in slow
relaxation processes, with time scales which diverge in the thermodynamic
limit. Various models which have been found to exhibit these features are
discussed.


title: Rotating points for the conformal NLS scattering operator

abstract:
  We consider the nonlinear Schrodinger equation, with mass-critical
nonlinearity, focusing or defocusing. For any given angle, we establish the
existence of infinitely many functions on which the scattering operator acts as
a rotation of this angle. Using a lens transform, we reduce the problem to the
existence of a solution to a nonlinear Schrodinger equation with harmonic
potential, satisfying suitable periodicity properties. The existence of
infinitely many such solutions is proved thanks to a constrained minimization
problem.


title:
A multiscale view on inverse statistics and gain/loss asymmetry in
  financial time series

abstract:
  Researchers have studied the first passage time of financial time series and
observed that the smallest time interval needed for a stock index to move a
given distance is typically shorter for negative than for positive price
movements. The same is not observed for the index constituents, the individual
stocks. We use the discrete wavelet transform to illustrate that this is a long
rather than short time scale phenomenon -- if enough low frequency content of
the price process is removed, the asymmetry disappears. We also propose a new
model, which explain the asymmetry by prolonged, correlated down movements of
individual stocks.


title: Mean-field dynamos in random Arnold-Beltrami-Childress and Roberts flows

abstract:
  We study magnetic field evolution in flows with fluctuating in time governing
parameters in electrically conducting fluid. We use a standard mean-field
approach to derive equations for large-scale magnetic field for the fluctuating
ABC-flow as well as for the fluctuating Roberts flow. The derived mean-field
dynamo equations have growing solutions with growth rate of the large-scale
magnetic field which is not controlled by molecular magnetic diffusivity. Our
study confirms the Zeldovich idea that the nonstationarity of the fluid flow
may remove the obstacle in large-scale dynamo action of classic stationary
flows.


title:
Stability of racemic and chiral steady states in open and closed
  chemical systems

abstract:
  The stability properties of models of spontaneous mirror symmetry breaking in
chemistry are characterized algebraically. The models considered here all
derive either from the Frank model or from autocatalysis with limited
enantioselectivity. Emphasis is given to identifying the critical parameter
controlling the chiral symmetry breaking transition from racemic to chiral
steady-state solutions. This parameter is identified in each case, and the
constraints on the chemical rate constants determined from dynamic stability
are derived.


title: Resolvents of R-Diagonal Operators

abstract:
  We consider the resolvent $(\lambda-a)^{-1}$ of any $R$-diagonal operator $a$
in a $\mathrm{II}_1$-factor. Our main theorem gives a universal asymptotic
formula for the norm of such a resolvent. En route to its proof, we calculate
the $R$-transform of the operator $|\lambda-c|^2$ where $c$ is Voiculescu's
circular operator, and give an asymptotic formula for the negative moments of
$|\lambda-a|^2$ for any $R$-diagonal $a$. We use a mixture of complex analytic
and combinatorial techniques, each giving finer information where the other can
give only coarse detail. In particular, we introduce {\em partition structure
diagrams}, a new combinatorial structure arising in free probability.


title:
Stable constant mean curvature hypersurfaces are area minimizing in
  small L^1 neighborhoods

abstract:
  We prove that a strictly stable constant-mean-curvature hypersurface in a
smooth manifold of dimension less than or equal to 7 is uniquely homologically
area minimizing for fixed volume in a small L^1 neighborhood.


title: Fidelity approach to quantum phase transitions

abstract:
  We review briefly the quantum fidelity approach to quantum phase transitions
in a pedagogical manner. We try to relate all established but scattered results
on the leading term of the fidelity into a systematic theoretical framework,
which might provide an alternative paradigm for understanding quantum critical
phenomena. The definition of the fidelity and the scaling behavior of its
leading term, as well as their explicit applications to the one-dimensional
transverse-field Ising model and the Lipkin-Meshkov-Glick model, are introduced
at the graduate-student level. In addition, we survey also other types of
fidelity approach, such as the fidelity per site, reduced fidelity,
thermal-state fidelity, operator fidelity, etc; as well as relevant works on
the fidelity approach to quantum phase transitions occurring in various
many-body systems.


title: A No-Go Theorem for Gaussian Quantum Error Correction

abstract:
  It is proven that Gaussian operations are of no use for protecting Gaussian
states against Gaussian errors in quantum communication protocols.
Specifically, we introduce a new quantity characterizing any single-mode
Gaussian channel, called entanglement degradation, and show that it cannot
decrease via Gaussian encoding and decoding operations only. The strength of
this no-go theorem is illustrated with some examples of Gaussian channels.


title: Violation of local realism with freedom of choice

abstract:
  Bell's theorem shows that local realistic theories place strong restrictions
on observable correlations between different systems, giving rise to Bell's
inequality which can be violated in experiments using entangled quantum states.
Bell's theorem is based on the assumptions of realism, locality, and the
freedom to choose between measurement settings. In experimental tests,
"loopholes" arise which allow observed violations to still be explained by
local realistic theories. Violating Bell's inequality while simultaneously
closing all such loopholes is one of the most significant still open challenges
in fundamental physics today. In this paper, we present an experiment that
violates Bell's inequality while simultaneously closing the locality loophole
and addressing the freedom-of-choice loophole, also closing the latter within a
reasonable set of assumptions. We also explain that the locality and
freedom-of-choice loopholes can be closed only within non-determinism, i.e. in
the context of stochastic local realism.


title: An Apology for Money

abstract:
  This review is about the convenience, the benefits, as well as the
destructive capacities of money. It deals with various aspects of money
creation, with its value, and its appropriation. All sorts of money tend to get
corrupted by eventually creating too much of them. In the long run, this
renders money worthless and deprives people holding it. This misuse of money
creation is inevitable and should come as no surprise. Abusive money creation
comes in various forms. In the present fiat money system "suspended in free
thought" and sustained merely by our belief in and our conditioning to it,
money is conveniently created out of "thin air" by excessive government
spending and speculative credit creation. Alas, any too tight money supply
could ruin an economy by inviting all sorts of unfriendly takeovers, including
wars or competition. Therefore the ambivalence of money as benefactor and
destroyer should be accepted as destiny.


title:
Functional modularity of background activities in normal and epileptic
  brain networks

abstract:
  We analyze the connectivity structure of weighted brain networks extracted
from spontaneous magnetoencephalographic (MEG) signals of healthy subjects and
epileptic patients (suffering from absence seizures) recorded at rest. We find
that, for the activities in the 5-14 Hz range, healthy brains exhibit a sparse
connectivity, whereas the brain networks of patients display a rich
connectivity with clear modular structure. Our results suggest that modularity
plays a key role in the functional organization of brain areas during normal
and pathological neural activities at rest.


title: An explicit formula for the Hilbert symbol of a formal group

abstract:
  Abrashkin established the Bruckner-Vostokov formula for the Hilbert symbol of
a formal group under the assumption that roots of unity belong to the base
field. The main motivation of this work is to remove this hypothesis. It is
obtained by combining methods of ($\varphi, \Gamma$)-modules and a
cohomological interpretation of Abrashkin's technique. To do this, we build
($\varphi, \Gamma$)-modules adapted to the false Tate curve extension and
generalize some related tools like the Herr complex with explicit formulas for
the cup-product and the Kummer map.


title: The Calabi invariant for some groups of homeomorphisms

abstract:
  We show that the Calabi homomorphism extends to some groups of homeomorphisms
on exact symplectic manifolds. The construction is based on the uniqueness of
the generating Hamiltonian (proved by Viterbo) of continuous Hamiltonian
isotopies (introduced by Mueller and Oh).


title: Weyl laws for partially open quantum maps

abstract:
  We study a toy model for "partially open" wave-mechanical system, like for
instance a dielectric micro-cavity, in the semiclassical limit where ray
dynamics is applicable. Our model is a quantized map on the 2-dimensional
torus, with an additional damping at each time step, resulting in a subunitary
propagator, or "damped quantum map". We obtain analogues of Weyl's laws for
such maps in the semiclassical limit, and draw some more precise estimates when
the classical dynamic is chaotic.


title:
The quantum-classical transition in thermally seeded parametric
  downconversion

abstract:
  We address the pair of conjugated field modes obtained from
parametric-downconversion as a convenient system to analyze the
quantum-classical transition in the continuous variable regime. We explicitly
evaluate intensity correlations, negativity and entanglement for the system in
a thermal state and show that a hierarchy of nonclassicality thresholds
naturally emerges in terms of thermal and downconversion photon number. We show
that the transition from quantum to classical regime may be tuned by
controlling the intensities of the seeds and detected by intensity
measurements. Besides, we show that the thresholds are not affected by losses,
which only modify the amount of nonclassicality. The multimode case is also
analyzed in some detail.


title: Geological flows

abstract:
  In this paper geology and planetology are considered using new conceptual
basis of high-speed flow dynamics. Recent photo technics allow to see all
details of a flow, 'cause the flow is static during very short time interval.
On the other hand, maps and images of many planets are accessible. Identity of
geological flows and high-speed gas dynamics is demonstrated. There is another
time scale, and no more. All results, as far as the concept, are new and belong
to the author. No formulae, pictures only.


title:
Collecting and Preserving Videogames and Their Related Materials: A
  Review of Current Practice, Game-Related Archives and Research Projects

abstract:
  This paper reviews the major methods and theories regarding the preservation
of new media artifacts such as videogames, and argues for the importance of
collecting and coming to a better understanding of videogame artifacts of
creation, which will help build a more detailed understanding of the essential
qualities of these culturally significant artifacts. We will also review the
major videogame collections in the United States, Europe and Japan to give an
idea of the current state of videogame archives, and argue for a fuller, more
comprehensive coverage of these materials in institutional repositories.


title:
Nonlocal Spin Transport in Lateral Spin Valves with Multiple
  Ferromagnetic Electrodes

abstract:
  We study the nonlocal spin transport in a lateral spin valve with multiple
ferromagnetic (FM) electrodes. When two current-injecting and two spin
current-detecting electrodes are all ferromagnetic, the number of possible
nonlocal spin signal states is four at maximum. In reality, this number is
reduced, depending on the inter-probe distance and the relative magnitudes of
the spin resistances. Our theoretical results are in agreement with recent
experiments of spin injection into an Al island, a carbon nanotube, and
graphene.


title: The case for optical interferometric polarimetry

abstract:
  Within the last 10 years, long-baseline optical interferometry (LBOI) has
benefited significantly from increased sensitivity, spatial resolution, and
spectral resolution, e.g., measuring the diameters and asymmetries of single
stars, imaging/fitting the orbits of multiple stars, modeling Be star disks,
and modeling AGN nuclei. Similarly, polarimetry has also yielded excellent
astrophysical results, e.g., characterizing the atmospheres and shells of red
giants/supergiants, modeling the envelopes of AGB stars, studying the
morphology of Be stars, and monitoring the short- and long- term behavior of
AGNs. The next logical evolutionary step in instrumentation is to combine LBOI
with polarimetry, which is called optical interferometric polarimetry (OIP). In
other words, measurements of spatial coherence are performed simultaneously
with measurements of coherence between orthogonal polarization states.


title: Desynched channels on IRCnet

abstract:
  In this paper we describe what a desynchronised channel on IRC is. We give
procedures on how to create such a channel and how to remove desynchronisation.
We explain which types of desynchronisation there are, what properties
desynchronised channels have, and which properties can be exploited.


title:
Neutron Reflection from the Surface of Liquid 4He with and without a
  Layer of 3He

abstract:
  We report and discuss the first neutron reflection measurements from the free
surface of normal and superfluid 4He and of liquid 3He-4He mixture. In case of
liquid 4He the surface roughness is different above and below the lambda
transition, being smoother in the superfluid state. For the superfluid, we also
observe the formation of a surface layer ~200 A thick which has a subtly
different neutron scattering cross-section. The results can be interpreted as
an enhancement of Bose-Einstein condensate fraction close to the helium
surface. We find that the addition of 3He isotopic impurities leads to the
formation of Andreev levels at low temperatures.


title: Diffractive cross sections at HERA and diffractive PDFs

abstract:
  A large collection of results for the diffractive dissociation of virtual
photons, $\gamma^{\star}p \to Xp$, have been obtained with the H1 and ZEUS
detectors at HERA. Different experimental techniques have been used, by
requiring a large rapidity gap between $X$ and the outgoing proton, by
analyzing the mass distribution, $M_X$, of the hadronic final state, as well as
by directly tagging the proton. A reasonable compatibility between those
techniques and between H1 and ZEUS results have been observed. Some common
fundamental features in the measurements are also present in all data sets.
They are detailed in this document. Diffractive PDFs can give a good account of
those features. Ideas and results are discussed in the following.


title: Reconciling MOND and dark matter?

abstract:
  Observations of galaxies suggest a one-to-one analytic relation between the
inferred gravity of dark matter at any radius and the enclosed baryonic mass, a
relation summarized by Milgrom's law of modified Newtonian dynamics (MOND).
However, present-day covariant versions of MOND usually require some additional
fields contributing to the geometry, as well as an additional hot dark matter
component to explain cluster dynamics and cosmology. Here, we envisage a
slightly more mundane explanation, suggesting that dark matter does exist but
is the source of MOND-like phenomenology in galaxies. We assume a canonical
action for dark matter, but also add an interaction term between baryonic
matter, gravity, and dark matter, such that standard matter effectively obeys
the MOND field equation in galaxies. We show that even the simplest realization
of the framework leads to a model which reproduces some phenomenological
predictions of cold dark matter (CDM) and MOND at those scales where these are
most successful. We also devise a more general form of the interaction term,
introducing the medium density as a new order parameter. This allows for new
physical effects which should be amenable to observational tests in the near
future. Hence, this very general framework, which can be furthermore related to
a generalized scalar-tensor theory, opens the way to a possible unification of
the successes of CDM and MOND at different scales.


title:
N,N'-dimethylperylene-3,4,9,10-bis(dicarboximide) on alkali halide(001)
  surfaces

abstract:
  The growth of N,N'-dimethylperylene-3,4,9,10-bis(dicarboximide) (DiMe-PTCDI)
on KBr(001) and NaCl(001) surfaces has been studied. Experimental results have
been achieved using frequency modulation atomic force microscopy at room
temperature under ultra-high vacuum conditions. On both substrates, DiMe-PTCDI
forms molecular wires with a width of 10 nm, typically, and a length of up to
600 nm at low coverages. All wires grow along the [110] direction (or
[1$\bar{1}$0] direction, respectively) of the alkali halide (001) substrates.
There is no wetting layer of molecules: Atomic resolution of the substrates can
be achieved between the wires. The wires are mobile on KBr surface but
substantially more stable on NaCl. A p(2 x 2) superstructure in brickwall
arrangement on the ionic crystal surfaces is proposed based on electrostatic
considerations. Calculations and Monte-Carlo simulations using empirical
potentials reveal possible growth mechanisms for molecules within the first
layer for both substrates, also showing a significantly higher binding energy
for NaCl(001). For KBr, the p(2 x 2) superstructure is confirmed by the
simulations, for NaCl, a less dense, incommensurate superstructure is
predicted.


title: A refinement of the inequality between arithmetic and geometric means

abstract:
  In this note we present a refinement of the AM-GM inequality, and then we
estimate in a special case the typical size of the improvement.


title: Unusual Hall Effect Anomaly in MnSi Under Pressure

abstract:
  We report the observation of a highly unusual Hall current in the MnSi in an
applied pressure P = 6-12 kbar. The Hall conductivity displays a distinctive
step-wise field profile quite unlike any other Hall response observed in
solids. We identify the origin of this Hall current with the effective
real-space magnetic field due to chiral spin textures, which may be a precursor
of the partial-order state at P>14.6 kbar. We discuss evidence favoring the
chiral spin mechanism for the origin of the observed Hall anomaly.


title: Plebanski gravity without the simplicity constraints

abstract:
  In Plebanski's self-dual formulation general relativity becomes SO(3) BF
theory supplemented with the so-called simplicity (or metricity) constraints
for the B-field. The main dynamical equation of the theory states that the
curvature of the B-compatible SO(3) connection is self-dual, with the notion of
self-duality being defined by the B-field. We describe a theory obtained by
dropping the metricity constraints, keeping only the requirement that the
curvature of the B-compatible connection is self-dual. It turns out that the
theory one obtains is to a very large degree fixed by the Bianchi identities.
Moreover, it is still a gravity theory, with just two propagating degrees of
freedom as in GR.


title: Stochastic dynamics of model proteins on a directed graph

abstract:
  A method for reconstructing the energy landscape of simple polypeptidic
chains is described. We show that we can construct an equivalent representation
of the energy landscape by a suitable directed graph. Its topological and
dynamical features are shown to yield an effective estimate of the time scales
associated with the folding and with the equilibration processes. This
conclusion is drawn by comparing molecular dynamics simulations at constant
temperature with the dynamics on the graph, defined by a temperature dependent
Markov process. The main advantage of the graph representation is that its
dynamics can be naturally renormalized by collecting nodes into "hubs", while
redefining their connectivity. We show that both topological and dynamical
properties are preserved by the renormalization procedure. Moreover, we obtain
clear indications that the heteropolymers exhibit common topological
properties, at variance with the homopolymer, whose peculiar graph structure
stems from its spatial homogeneity. In order to obtain a clear distinction
between a "fast folder" and a "slow folder" in the heteropolymers one has to
look at kinetic features of the directed graph. We find that the average time
needed to the fast folder for reaching its native configuration is two orders
of magnitude smaller than its equilibration time, while for the bad folder
these time scales are comparable. Accordingly, we can conclude that the
strategy described in this paper can be successfully applied also to more
realistic models, by studying their renormalized dynamics on the directed
graph, rather than performing lengthy molecular dynamics simulations.


title: Conformal perturbation theory beyond the leading order

abstract:
  Higher order conformal perturbation theory is studied for theories with and
without boundaries. We identify systematically the universal quantities in the
beta function equations, and we give explicit formulae for the universal
coefficients at next-to-leading order in terms of integrated correlation
functions. As an example, we analyse the radius-dependence of the conformal
dimension of some boundary operators for the case of a single Neumann brane on
a circle, and for an intersecting brane configuration on a torus, reproducing
in both cases the expected geometrical answer.


title:
Non-local Aharonov-Bohm conductance oscillations in an asymmetric
  quan-tum ring

abstract:
  We investigate ballistic transport and quantum interference in a nanoscale
quantum wire loop fab-ricated as a GaAs/AlGaAs field-effect heterostructure.
Four-terminal measurements of current and voltage characteristics as a function
of top gate voltages show negative bend resistance as a clear signature of
ballistic transport. In perpendicular magnetic fields phase-coherent transport
leads to Aharonov-Bohm (AB) conductance oscillations which show equal
amplitudes in the local and the non-local measurement at a temperature of 1.5 K
and above. We attribute this novel observation to the symmetry of the
orthogonal cross junctions connecting the four quantum wire leads with the
asymmetric quantum wire ring.


title: The asymptotic distribution of the largest prime divisor

abstract:
  We consider the Dickman function $\Psi (x,y)$ in the limit when $\ln x/\ln
y\to \infty $ and $\ln \ln x \ln y\to 0$. The asymptotic value is expressed in
terms of the ratio of iterated loragithm of $x$ and $ln y$.


title:
Self-Interacting Electromagnetic Fields and a Classical Discussion on
  the Stability of the Electric Charge

abstract:
  The present work proposes a discussion on the self-energy of charged
particles in the framework of nonlinear electrodynamics. We seek magnet- ically
stable solutions generated by purely electric charges whose electric and
magnetic fields are computed as solutions to the Born-Infeld equa- tions. The
approach yields rich internal structures that can be described in terms of the
physical fields with explicit analytic solutions. This suggests that the
anomalous field probably originates from a magnetic excitation in the vacuum
due to the presence of the very intense electric field. In addition, the
magnetic contribution has been found to exert a negative pressure on the
charge. This, in turn, balances the electric repulsion, in such a way that the
self-interaction of the field appears as a simple and natural classical
mechanism that is able to account for the stability of the electron charge.


title:
The strong $ABC$ conjecture over function fields (after McQuillan and
  Yamanoi)

abstract:
  The $abc$ conjecture predicts a highly non trivial upper bound for the height
of an algebraic point in terms of its discriminant and its intersection with a
fixed divisor of the projective line counted without multiplicity. We describe
the two independent proofs of the strong $abc$ conjecture over function fields
given by McQuillan and Yamanoi. The first proof relies on tools from
differential and algebraic geometry; the second relies on analytic and
topological methods. They correspond respectively to the Nevanlinna and the
Ahlfors approach to the Nevanlinna Second Main Theorem.