title: Limit laws for the energy of a charged polymer

abstract:
  In this paper we obtain the central limit theorems, moderate deviations and
the laws of the iterated logarithm for the energy \[H_n=\sum_{1\le j<k\le
n}\omega_j\omega_k1_{\{S_j=S_k\}}\] of the polymer $\{S_1,...,S_n\}$ equipped
with random electrical charges $\{\omega_1,...,\omega_n\}$. Our approach is
based on comparison of the moments between $H_n$ and the self-intersection
local time \[Q_n=\sum_{1\le j<k\le n}1_{\{S_j=S_k\}}\] run by the
$d$-dimensional random walk $\{S_k\}$. As partially needed for our main
objective and partially motivated by their independent interest, the central
limit theorems and exponential integrability for $Q_n$ are also investigated in
the case $d\ge3$.


title: Tschirnhaus-Weierstrass curves

abstract:
  We define the concept of Tschirnhaus-Weierstrass curve, named after the
Weierstrass form of an elliptic curve and Tschirnhaus transformations. Every
pointed curve has a Tschirnhaus-Weierstrass form, and this representation is
unique up to a scaling of variables. This is useful for computing isomorphisms
between curves.


title:
Coulomb pseudogap in elastic 2D-2D electron tunneling in a quantizing
  magnetic field

abstract:
  The electron tunneling is experimentally studied between two-dimensional
electron gases (2DEGs) formed in a single-doped-barrier heterostructure in the
magnetic fields directed perpendicular to the 2DEGs planes. It is well known
that the quantizing magnetic field induces the Coulomb pseudogap suppressing
the electron tunneling at Fermi level. In this paper we firstly present the
experimental results revealing the pseudogap in the electron tunneling assisted
by elastic electron scattering on disorder.


title: Tkachenko waves, glitches and precession in neutron star

abstract:
  Here I discuss possible relations between free precession of neutron stars,
Tkachenko waves inside them and glitches. I note that the proposed precession
period of the isolated neutron star RX J0720.4-3125 (Haberl et al. 2006) is
consistent with the period of Tkachenko waves for the spin period 8.4s. Based
on a possible observation of a glitch in RX J0720.4-3125 (van Kerkwijk et al.
2007), I propose a simple model, in which long period precession is powered by
Tkachenko waves generated by a glitch. The period of free precession,
determined by a NS oblateness, should be equal to the standing Tkachenko wave
period for effective energy transfer from the standing wave to the precession
motion. A similar scenario can be applicable also in the case of the PSR
B1828-11.


title:
Spanning Trees on the Two-Dimensional Lattices with More Than One Type
  of Vertex

abstract:
  For a two-dimensional lattice $\Lambda$ with $n$ vertices, the number of
spanning trees $N_{ST}(\Lambda)$ grows asymptotically as $\exp(n z_\Lambda)$ in
the thermodynamic limit. We present exact integral expression and numerical
value for the asymptotic growth constant $z_\Lambda$ for spanning trees on
various two-dimensional lattices with more than one type of vertex given in
\cite{Okeeffe}. An exact closed-form expression for the asymptotic growth
constant is derived for net 14, and the asymptotic growth constants of net 27
and the triangle lattice have the simple relation $z_{27} = (z_{tri}+\ln 4)/4$.
Some integral identities are also obtained.


title: Null Melvin Twist to Sakai-Sugimoto model

abstract:
  The Null Melvin Twist to D4 brane background has been studied and putting in
a bunch of coincident D8 and anti-D8 branes {\it a la} Sakai-Sugimoto model
results in a breakdown of a global symmetry to its diagonal subgroup. The same
is studied at finite temperature which results in the unchanged form of the
chiral symmetry breaking and restoration curve. The effect of turning on a
finite chemical potential do not changes the structure of the phase diagram
with respect to Null Melvin Twist. Moreover, the confining and de-confining
phase transition has the same structure as in the absence of Null Melvin Twist.


title:
Correlation between extrinsic electroresistance and magnetoresistance in
  fine-grained La0.7Ca0.3MnO3

abstract:
  We report our observation of a correlation between the extrinsic
electroresistance (EER) and magnetoresistance (EMR) via grain size in
fine-grained La0.7Ca0.3MnO3. The nature of dependence of EER and EMR on grain
size (~0.2-1.0 micron) indicates that for finer grains with low-resistive
boundaries both of them follow similar trend whereas they differ for coarser
grains with high-resistive boundaries. This could be due to a crossover in the
mechanism of charge transport across the grain boundaries - from spin-depedent
scattering process to spin-polarized tunneling one - as a function of grain
size.


title:
Explicit and Almost Explicit Spectral Calculations for Diffusion
  Operators

abstract:
  The diffusion operator $$ H_D=-\frac12\frac d{dx}a\frac d{dx}-b\frac
d{dx}=-\frac12\exp(-2B)\frac d{dx}a\exp(2B)\frac d{dx}, $$ where
$B(x)=\int_0^x\frac ba(y)dy$, defined either on $R^+=(0,\infty)$ with the
Dirichlet boundary condition at $x=0$, or on $R$, can be realized as a
self-adjoint operator with respect to the density $\exp(2Q(x))dx$. The operator
is unitarily equivalent to the Schr\"odinger-type operator $H_S=-\frac12\frac
d{dx}a\frac d{dx}+V_{b,a}$, where $V_{b,a}=\frac12(\frac{b^2}a+b')$. We obtain
an explicit criterion for the existence of a compact resolvent and explicit
formulas up to the multiplicative constant 4 for the infimum of the spectrum
and for the infimum of the essential spectrum for these operators. We give some
applications which show in particular how $\inf\sigma(H_D)$ scales when $a=\nu
a_0$ and $b=\gamma b_0$, where $\nu$ and $\gamma$ are parameters, and $a_0$ and
$b_0$ are chosen from certain classes of functions. We also give applications
to self-adjoint, multi-dimensional diffusion operators.


title:
A seismic approach to testing different formation channels of subdwarf B
  stars

abstract:
  There are many unknowns in the formation of subdwarf B stars. Different
formation channels are considered to be possible and to lead to a variety of
helium-burning subdwarfs. All seismic models to date, however, assume that a
subdwarf B star is a post-helium-flash-core surrounded by a thin inert layer of
hydrogen. We examine an alternative formation channel, in which the subdwarf B
star originates from a massive (>~2 Msun) red giant with a non-degenerate
helium-core. Although these subdwarfs may evolve through the same region of the
log g-Teff diagram as the canonical post-flash subdwarfs, their interior
structure is rather different. We examine how this difference affects their
pulsation modes and whether it can be observed.
  Using detailed stellar evolution calculations we construct subdwarf B models
from both formation channels. The iron accumulation in the driving region due
to diffusion, which causes the excitation of the modes, is approximated by a
Gaussian function. The pulsation modes and frequencies are calculated with a
non-adiabatic pulsation code. A detailed comparison of two subdwarf B models
from different channels, but with the same log g and Teff, shows that their
mode excitation is different. The excited frequencies are lower for the
post-flash than for the post-non-degenerate subdwarf B star. This is mainly due
to the differing chemical composition of the stellar envelope. A more general
comparison between two grids of models shows that the excited frequencies of
most post-non-degenerate subdwarfs cannot be well-matched with the frequencies
of post-flash subdwarfs. In the rare event that an acceptable seismic match is
found, additional information, such as mode identification and log g and Teff
determinations, allows us to distinguish between the two formation channels.


title:
Neutrinos, Electrons and Muons in Electromagnetic Fields and Matter: The
  Method of Exact Solutions

abstract:
  We present a powerful method for exploring various processes in the presence
of strong external fields and matter. The method implies utilization of the
exact solutions of the modified Dirac equations which contain the effective
potentials accounting for the influences of external electromagnetic fields and
matter on particles. We briefly discuss the basics of the method and its
applications to studies of different processes, including a recently proposed
new mechanism of radiation by neutrinos and electrons moving in matter (the
spin light of the neutrino and electron). In view of a recent "prediction" of
an order-of-magnitude change of the muon lifetime under the influence of an
electromagnetic field of a CO$_2$ laser, we revisit the issue and show that
such claims are nonrealistic.


title: More on Gribov copies and propagators in Landau-gauge Yang-Mills theory

abstract:
  Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a
non-trivial problem due to the presence of Gribov copies. In particular, there
are different gauges in the non-perturbative regime which all correspond to the
same definition of a gauge in the perturbative domain. Gauge-dependent
correlation functions may differ in these gauges. Two such gauges are the
minimal and absolute Landau gauge, both corresponding to the perturbative
Landau gauge. These, and their numerical implementation, are described and
presented in detail. Other choices will also be discussed.
  This investigation is performed, using numerical lattice gauge theory
calculations, by comparing the propagators of gluons and ghosts for the minimal
Landau gauge and the absolute Landau gauge in SU(2) Yang-Mills theory. It is
found that the propagators are different in the far infrared and even at energy
scales of the order of half a GeV. In particular, also the finite-volume
effects are modified. This is observed in two and three dimensions. Some
remarks on the four-dimensional case are provided as well.


title: On mean central limit theorems for stationary sequences

abstract:
  In this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance
between the distribution of the normalized partial sum and the limiting
Gaussian distribution for stationary sequences satisfying projective criteria
in the style of Gordin or weak dependence conditions.


title:
Topological Summation of Observables Measured with Dynamical Overlap
  Fermions

abstract:
  HMC histories for light dynamical overlap fermions tend to stay in a fixed
topological sector for many trajectories, so that the different sectors are not
sampled properly. Therefore the suitable summation of observables, which have
been measured in separate sectors, is a major challenge. We explore several
techniques for this issue, based on data for the chiral condensate and the
(analogue of the) pion mass in the 2-flavour Schwinger model with dynamical
overlap-hypercube fermions.


title:
How Well a Chaotic Quantum System Can Retain Memory of Its Initial
  State?

abstract:
  In classical mechanics the local exponential instability effaces the memory
of initial conditions and leads to practical irreversibility. In striking
contrast, quantum mechanics appears to exhibit strong memory of the initial
state. We relate the latter fact to the low (at most linear) rate with which
the system's Wigner function gets during evolution more and more complicated
structure and establish existence of a critical strength of external influence
below which such a memory still survives.


title:
Global well-posedness of incompressible flow in porous media with
  critical diffusion in Besov spaces

abstract:
  In this paper we study the model of heat transfer in a porous medium with a
critical diffusion. We obtain global existence and uniqueness of solutions to
the equations of heat transfer of incompressible fluid in Besov spaces $\dot
B^{3/p}_{p,1}(\mathbb{R}^3)$ with $1\le p\le\infty$ by the method of modulus of
continuity and Fourier localization technique.


title: Kinks in a non-linear massive sigma model

abstract:
  We describe the kink solitary waves of a massive non-linear sigma model with
an ${\mathbb S}^2$ sphere as the target manifold. Our solutions form a moduli
space of non-relativistic solitary waves in the long wavelength limit of
ferromagnetic linear spin chains.


title: On the topological entropy of families of braids

abstract:
  A method for computing the topological entropy of each braid in an infinite
family, making use of Dynnikov's coordinates on the boundary of Teichm\"uller
space, is described. The method is illustrated on two two-parameter families of
braids.


title: Joint continuity of the local times of fractional Brownian sheets

abstract:
  Let $B^H=\{B^H(t),t\in{{\mathbb{R}}_+^N}\}$ be an $(N,d)$-fractional Brownian
sheet with index $H=(H_1,...,H_N)\in(0,1)^N$ defined by
$B^H(t)=(B^H_1(t),...,B^H_d(t)) (t\in {\mathbb{R}}_+^N),$ where
$B^H_1,...,B^H_d$ are independent copies of a real-valued fractional Brownian
sheet $B_0^H$. We prove that if $d<\sum_{\ell=1}^NH_{\ell}^{-1}$, then the
local times of $B^H$ are jointly continuous. This verifies a conjecture of Xiao
and Zhang (Probab. Theory Related Fields 124 (2002)). We also establish sharp
local and global H\"{o}lder conditions for the local times of $B^H$. These
results are applied to study analytic and geometric properties of the sample
paths of $B^H$.


title:
Minimal average degree aberration and the state polytope for
  experimental designs

abstract:
  For a particular experimental design, there is interest in finding which
polynomial models can be identified in the usual regression set up. The
algebraic methods based on Groebner bases provide a systematic way of doing
this. The algebraic method does not in general produce all estimable models but
it can be shown that it yields models which have minimal average degree in a
well-defined sense and in both a weighted and unweighted version. This provides
an alternative measure to that based on "aberration" and moreover is applicable
to any experimental design. A simple algorithm is given and bounds are derived
for the criteria, which may be used to give asymptotic Nyquist-like
estimability rates as model and sample sizes increase.


title: A quantized Tits-Kantor-Koecher algebra

abstract:
  We propose a quantum analogue of a Tits-Kantor-Koecher algebra with a Jordan
torus as an coordinated algebra by looking at the vertex operator construction
over a Fock space.


title: A note on the reduction of the AdS4 x CP3 string sigma model

abstract:
  We study the reduction of the (bosonic) string sigma model on
$AdS_4\times\cp$ background. We give a brief presentation of the reduction
procedure for $AdS$ part and apply explicitly the reduction scheme to $\cp$
part of the model. A brief discussion and directions for further study are
presented.


title:
Evaluations of the twisted Alexander polynomials of 2-bridge knots at
  $\pm 1$

abstract:
  Let $H(p)$ be the set of 2-bridge knots $K$ whose group $G$ is mapped onto a
non-trivial free product, $Z/2 * Z/p$, $p$ being odd. Then there is an
algebraic integer $s_0$ such that for any $K$ in $H(p)$, $G$ has a parabolic
representation $\rho$ into $SL(2, Z[s_0]) \subset SL(2,C)$. Let $\Delta(t)$ be
the twisted Alexander polynomial associated to $\rho$. Then we prove that for
any $K$ in $H(p)$, $\Delta(1)=-2s_0^{-1}$ and $\Delta(-1)=-2s_0^{-1}\mu^2$,
where $s_0^{-1}, \mu \in Z[s_0]$. The number $\mu$ can be recursively
evaluated.


title: Compactons and Chaos in Strongly Nonlinear Lattices

abstract:
  We study localized traveling waves and chaotic states in strongly nonlinear
one-dimensional Hamiltonian lattices. We show that the solitary waves are
super-exponentially localized, and present an accurate numerical method
allowing to find them for an arbitrary nonlinearity index. Compactons evolve
from rather general initially localized perturbations and collide nearly
elastically, nevertheless on a long time scale for finite lattices an extensive
chaotic state is generally observed. Because of the system's scaling, these
dynamical properties are valid for any energy.


title:
Bohmian Mechanics at Space-Time Singularities. II. Spacelike
  Singularities

abstract:
  We develop an extension of Bohmian mechanics by defining Bohm-like
trajectories for quantum particles in a curved background space-time containing
a spacelike singularity. As an example of such a metric we use the
Schwarzschild metric, which contains two spacelike singularities, one in the
past and one in the future. Since the particle world lines are everywhere
timelike or lightlike, particles can be annihilated but not created at a future
spacelike singularity, and created but not annihilated at a past spacelike
singularity. It is argued that in the presence of future (past) spacelike
singularities, there is a unique natural Bohm-like evolution law directed to
the future (past). This law differs from the one in non-singular space-times
mainly in two ways: it involves Fock space since the particle number is not
conserved, and the wave function is replaced by a density matrix. In
particular, we determine the evolution equation for the density matrix, a
pure-to-mixed evolution equation of a quasi-Lindblad form. We have to leave
open whether a curvature cut-off needs to be introduced for this equation to be
well defined.


title:
Development of Anisotropy in Incompressible Magnetohydrodynamic
  Turbulence

abstract:
  We present a set of three-dimensional (3D) direct numerical simulations of
incompressible decaying magnetohydrodynamic turbulence in which we investigate
the influence of an external uniform magnetic field B_0. A parametric study in
terms of B_0 intensity is made where, in particular, we distinguish the shear-
from the pseudo-Alfven waves dynamics. The initial kinetic and magnetic
energies are equal with a negligible cross-correlation. Both the temporal and
spectral effects of B_0 are discussed. A sub-critical balance is found between
the Alfven and nonlinear times with both a global and a spectral definition.
The nonlinear dynamics of strongly magnetized flows is characterized by a
different k_perp-spectrum (where B_0 defines the parallel direction) if it is
plotted at a fixed k_// (2D spectrum) or if it is integrated (averaged) over
all k_// (1D spectrum). In the former case a much wider inertial range is found
with a steep power law, closer to the wave turbulence prediction than the
Kolmogorov one like in the latter case. It is believed that the averaging
effect may be a source of difficulty to detect the transition towards wave
turbulence in natural plasmas. For the first time, the formation of filaments
is reported within current and vorticity sheets in strongly magnetized flows
which modifies our classical picture of dissipative sheets in conductive flows.


title: Dynamical symmetries in noncommutative theories

abstract:
  In the present work we study dynamical space-time symmetries in
noncommutative relativistic theories by using the minimal canonical extension
of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed
in an extended space-time with independent degrees of freedom associated with
the object of noncommutativity $\theta^{\mu\nu}$. In this framework we consider
theories that are invariant under the Poincar\'{e} group ${\cal P}$ or under
its extension ${\cal P}'$, when translations in the extra dimensions are
permitted. The Noether's formalism adapted to such extended $x+\theta$
space-time is employed.


title:
Ferromagnetism in transparent Mn(II)-doped indium tin oxide films
  prepared by sol-gel process

abstract:
  We observe remarkably strong room temperature ferromagnetism (~1.5 Bohr
Magneton/Mn) in optically transparent Mn(II)-doped indium tin oxide (ITO)
films. The nanocrystalline films with average grain size 10-22 nm and thickness
150-350 nm are prepared by sol-gel coating technique on sodalime silica glass
substrate. The ferromagnetic property is, of course, weak for films deposited
on pure silica glass substrate. The structural parameters of the films appear
to be governing the magnetic property strongly which vary appreciably depending
on the substrate. The observation of room temperature ferromagnetism in
transparent conducting ITO films may find a plethora of applications in the
area of magneto-optics.


title: On the problem of Unicity in Einstein-Sciama-Kibble Theory

abstract:
  We consider the ESK theory, based on the principle for which the space is
filled with matter fields in such a way that Cartan torsion is spin; in the
geometry in which Cartan torsion tensor is completely antisymmetric, spin has
to be completely antisymmetric: we will show how the complete antisymmetry of
spin constraints the form of possible matter field theories as to allow the
special case of the simplest one solely, all other most general cases being
excluded.


title: Automatic generation of Feynman rules in the Schroedinger functional

abstract:
  We provide an algorithm to generate vertices for the Schr\"odinger functional
with an abelian background gauge field. The background field has a non-trivial
color structure, therefore we mainly focus on a manipulation of the color
matrix part. We propose how to implement the algorithm especially in python
code. By using python outputs produced by the code, we also show how to write a
numerical expression of vertices in the time-momentum as well as the coordinate
space into a Feynman diagram calculation code. As examples of the applications
of the algorithm, we provide some one-loop results, ratios of the Lambda
parameters between the plaquette gauge action and the improved gauge actions
composed from six-link loops (rectangular, chair and parallelogram), the
determination of the O(a) boundary counter term to this order, and the
perturbative cutoff effects of the step scaling function of the Schroedinger
functional coupling constant.


title:
First Passage Time Distribution and Number of Returns for Ultrametric
  Random Walk

abstract:
  In this paper, we consider a homogeneous Markov process \xi(t;\omega) on an
ultrametric space Q_p, with distribution density f(x,t), x in Q_p, t in R_+,
satisfying the ultrametric diffusion equation df(x,t)/dt =-Df(x,t). We
construct and examine a random variable \tau (\omega) that has the meaning the
first passage times. Also, we obtain a formula for the mean number of returns
on the interval (0,t] and give its asymptotic estimates for large t.


title: Higher-derivative 3-algebras

abstract:
  Starting with the N=8 supersymmetric Yang-Mills theory on D2-branes and
incorporating higher-derivative corrections to lowest nontrivial order, we
perform a duality to derive the Lorentzian 3-algebra theory along with a set of
derivative corrections. We find that these corrections can be expressed
entirely in terms of intrinsic 3-algebra quantities: the 3-bracket and
covariant derivatives. Our analysis is performed for both bosonic and fermionic
terms. We conjecture that the derivative corrections we obtain are relevant for
Euclidean 3-algebra theories as well.


title: Quantifying and containing the curse of high resolution coronal imaging

abstract:
  Future missions such as Solar Orbiter (SO), InterHelioprobe, or Solar Probe
aim at approaching the Sun closer than ever before, with on board some high
resolution imagers (HRI) having a subsecond cadence and a pixel area of about
$(80km)^2$ at the Sun during perihelion. In order to guarantee their scientific
success, it is necessary to evaluate if the photon counts available at these
resolution and cadence will provide a sufficient signal-to-noise ratio (SNR).
  We perform a first step in this direction by analyzing and characterizing the
spatial intermittency of Quiet Sun images thanks to a multifractal analysis.
  We identify the parameters that specify the scale-invariance behavior. This
identification allows next to select a family of multifractal processes, namely
the Compound Poisson Cascades, that can synthesize artificial images having
some of the scale-invariance properties observed on the recorded images.
  The prevalence of self-similarity in Quiet Sun coronal images makes it
relevant to study the ratio between the SNR present at SoHO/EIT images and in
coarsened images. SoHO/EIT images thus play the role of 'high resolution'
images, whereas the 'low-resolution' coarsened images are rebinned so as to
simulate a smaller angular resolution and/or a larger distance to the Sun. For
a fixed difference in angular resolution and in Spacecraft-Sun distance, we
determine the proportion of pixels having a SNR preserved at high resolution
given a particular increase in effective area. If scale-invariance continues to
prevail at smaller scales, the conclusion reached with SoHO/EIT images can be
transposed to the situation where the resolution is increased from SoHO/EIT to
SO/HRI resolution at perihelion.


title:
Uniform deterministic equivalent of additive functionals and
  non-parametric drift estimation for one-dimensional recurrent diffusions

abstract:
  Usually the problem of drift estimation for a diffusion process is considered
under the hypothesis of ergodicity. It is less often considered under the
hypothesis of null-recurrence, simply because there are fewer limit theorems
and existing ones do not apply to the whole null-recurrent class. The aim of
this paper is to provide some limit theorems for additive functionals and
martingales of a general (ergodic or null) recurrent diffusion which would
allow us to have a somewhat unified approach to the problem of non-parametric
kernel drift estimation in the one-dimensional recurrent case. As a particular
example we obtain the rate of convergence of the Nadaraya--Watson estimator in
the case of a locally H\"{o}lder-continuous drift.


title:
Near band-edge luminescence of semi-insulating undoped gallium arsenide
  at high levels of excitation

abstract:
  The dependences of the maximum and the half-width of near band-edge
photoluminescence of semi-insulating undoped GaAs crystals at 77K on the
concentration of background acceptor impurities and the level of excitation in
the range from 3x1021 to 6x1022 quantum/(cm2/s) are investigated. The observed
dependences are explained by formation of the density tails of states as a
result of fluctuations of impurity concentration and participation of localized
states of the donor impurity band in radiative transitions. Reduction of
many-particle interaction at increasing of N can be connected with increasing
of shielding of charge carriers by atoms of impurity.


title: No quasi-long-range order in the two-dimensional liquid crystal

abstract:
  Systems with global symmetry group O(2) experience topological transition in
the 2-dimensional space. But there is controversy about such a transition for
systems with global symmetry group O(3). In this paper, we study the
Lebwohl-Lasher model for the two-dimensional liquid crystal, using three
different methods independent of the proper values of possible critical
exponents. Namely, we analyze the at-equilibrium order parameter distribution
function with: 1) the hyperscaling relation; 2) the first scaling collapse for
the probability distribution function;and 3) the Binder's cumulant. We give
strong evidences for definite lack of a line of critical points at low
temperatures in the Lebwohl-Lasher model, contrary to conclusions of a number
of previous numerical studies.


title: A theory of hierarchical consequence and conditionals

abstract:
  We introduce A-ranked preferential structures and combine them with an
accessibility relation. This framework allows us to formalize contrary to duty
obligations. Representation results are proved.


title: Roadmap for preferential logics

abstract:
  We give an overview of logical and semantical rules for nonmonotonic and
related logics.


title:
Light-bending in Schwarzschild-de-Sitter: projective geometry of the
  optical metric

abstract:
  We interpret the well known fact that the equations for light rays in the
Kottler or Schwarzschild-de Sitter metric are independent of the cosmological
constant in terms of the projective equivalence of the optical metric for any
value of \Lambda. We explain why this does not imply that lensing phenomena are
independent of \Lambda. Motivated by this example, we find a large collection
of one-parameter families of projectively equivalent metrics including both the
Kottler optical geometry and the constant curvature metrics as special cases.
Using standard constructions for geodesically equivalent metrics we find
classical and quantum conserved quantities and relate these to known
quantities.


title: Reactive preferential structures and nonmonotonic consequence

abstract:
  We introduce information bearing systems (IBRS) as an abstraction of many
logical systems. We define a general semantics for IBRS, and show that IBRS
generalize in a natural way preferential semantics and solve open
representation problems.


title: Phase behavior of C18 monoglyceride in hydrophobic solutions

abstract:
  We apply a set of different techniques to analyze the physical properties and
phase transitions of monoglycerides (MG) in oil. In contrast to many studies of
MG in water or aqueous systems, we find a significant difference in the phase
structure at different concentrations and temperatures. By adding small
quantities of water to our base MG/oil systems we test the effect of hydration
of surfactant head-groups, and its effect on the phase behavior. The phase
diagrams are determined by calorimetry and their universal features are
recorded under different conditions. Two ordered phases are reported: the
inverse lamellar gel phase and the sub-alpha crystalline gel phase. This
sequence is very different from the structures in MG/water; its most striking
feature is the establishing of a 2D densely packed hexagonal order of glycerol
heads in the middle of inverse lamellar bilayers. Rheology was examined through
temperature scans to demonstrate the gelation phenomenon, which starts from the
onset of the lamellar phase during the cooling/ordering process.


title: Cumulativity without closure of the domain under finite unions

abstract:
  For nonmonotonic logics, Cumulativity is an important rule. We show here that
Cumulativity fans out into an infinity of different conditions, if the domain
is not closed under finite unions.


title: Decoration invariants for horseshoe braids

abstract:
  The Decoration Conjecture describes the structure of the set of braid types
of Smale's horseshoe map ordered by forcing, providing information about the
order in which periodic orbits can appear when a horseshoe is created. A proof
of this conjecture is given for the class of so-called lone decorations, and it
is explained how to calculate associated braid conjugacy invariants which
provide additional information about forcing for horseshoe braids.


title:
Stau LSP Phenomenology: Two- versus Four-Body Decay Modes and Resonant
  Single Slepton Production at the LHC as an Example

abstract:
  We investigate B3 mSUGRA models, where the lightest scalar tau, stau_1, is
the LSP. B3 models allow for lepton number and R-parity violation; the LSP can
thus decay. We assume one non-zero B3 coupling lambda'_ijk at M_GUT, which
generates further B3 couplings at M_Z. We study the RGEs and give numerical
examples. The new couplings lead to additional stau_1 decays, providing
distinct collider signatures. We classify the stau_1 decays and describe their
dependence on the mSUGRA parameters. We exploit our results for single slepton
production at the LHC. As an explicit numerical example, we investigate single
smuon production, focussing on like-sign dimuons in the final state. Also
considered are final states with three or four muons.


title:
Modeling of quasiparticle-induced excitations of a Josephson
  charge-phase qubit

abstract:
  We have analyzed quasiparticle transitions in an Al charge-phase qubit
inducing a dynamic change of the qubit states. The time-averaged mixed state is
related to the strong coupling of the qubit to an ensemble of non-equilibrium
quasiparticles in the leads. Such quasiparticles tunnel stochastically on and
off the island and can excite the qubit. Continuous monitoring of the qubit
impedance at a frequency of 80 MHz shows the admixture of the excited state. We
present a numerical description of these cyclic transitions and compare it with
our experimental data.


title:
Isomonodromic deformatiion with an irregular singularity and
  hyperelliptic curve

abstract:
  In this paper, we extend the result of Kitaev and Korotkin to the case where
a monodromy-preserving deformation has an irregular singularity. For the
monodromy-preserving deformation, we obtain the $\tau$-function whose
deformation parameters are the positions of regular singularities and the
parameter $t$ of an irregular singularity. Furthermore, the $\tau$-function is
expressed by the hyperelliptic $\Theta$ function moving the argument $\z$ and
the period $\B,$ where $t$ and the positions of regular singularities move $z$
and $\B,$ respectively.


title: Unitarity corrections from the high energy QCD effective action

abstract:
  We investigate the derivation of reggeon transition vertices from Lipatov's
gauge invariant effective action for high energy processes in QCD. In
particular we address the question of longitudinal integrations in order to
reduce the vertices into the required purely transverse form. We explicitly
derive the BFKL-kernel and verify vanishing of the 2-to-3 reggeon transition
vertex. First results on the derivation of the 2-to-4 reggeon transition vertex
are discussed.


title: Identical particles are indistinguishable but..

abstract:
  It is shown that quantum systems of identical particles can be treated as if
they were different when they are in well differentiated states. This
simplifying assumption allows the consideration of quantum systems isolated
from the rest of the universe and justifies many intuitive statements about
identical systems. However, it is shown that this simplification may lead to
wrong results in the calculation of the entropy.
  Keywords: quantum mechanics, identical systems, entropy


title: Aging and metastability of monoglycerides in hydrophobic solutions

abstract:
  The aging of aggregated structures of monoglycerides in hydrophobic medium is
described by a set of different techniques. Polarized microscopy was used to
study the mesomorphic behavior as a function of time. Differential scanning
calorimetry was utilized to quantitatively monitor changes in the latent heat
in different phase transformations that take place in the aging system.
Infrared spectroscopy was applied to detect the formation of hydrogen bonding
between surfactants. The X-ray diffraction patterns fingerprinted the molecular
arrangement in different emerging phases. Infra-red spectroscopy was used to
monitor the state of hydrogen bonding in the system. We conclude that in both
inverted-lamellar and sub-alpha crystalline phases, monoglyceride molecules
inevitably lose their emulsified ability in the hydrophobic solutions through
the gradual change in hydrogen bonding patterns. On aging, the formation of
intermolecular hydrogen bonding between glycerol groups causes the segregation
of chiral (D and L) isomers within the bilayers. Therefore all structures were
eventually forced to reorder into the beta-crystalline state, distinguishing
between the D and L layers. Accordingly, the highly ordered packing of aged
structures weakened the emulsifying ability and finally leaded the collapse of
the percolating gel network.


title:
Monitoring Supergiant Fast X-ray Transients with Swift. III. Outbursts
  of the prototypical SFXTs IGR J17544-2619 and XTE J1739-302

abstract:
  IGR J17544-2619 and XTE J1739-302 are considered the prototypical sources of
the new class of High Mass X-ray Binaries, the Supergiant Fast X-ray Transients
(SFXTs).These sources were observed during bright outbursts on 2008 March 31
and 2008 April 8, respectively, thanks to an on-going monitoring campaign we
are performing with Swift, started in October 2007. Simultaneous observations
with XRT and BAT allowed us to perform for the first time a broad band
spectroscopy of their outbursts. The X-ray emission is well reproduced with
absorbed cutoff powerlaws, similar to the typical spectral shape from accreting
pulsars. IGR J17544-2619 shows a significantly harder spectrum during the
bright flare (where a luminosity in excess of 1E36 erg/s is reached) than
during the long-term low level flaring activity (1E33-1E34 erg/s), while XTE
J1739-302 displayed the same spectral shape, within the uncertainties, and a
higher column density during the flare than in the low level activity. The
light curves of these two SFXTs during the bright flare look similar to those
observed during recent flares from other two SFXTs, IGRJ11215-5952 and
IGRJ16479-4514, reinforcing the connection among the members of this class of
X-ray sources.


title: Nonbinary Codeword Stabilized Quantum Codes

abstract:
  The codeword stabilized (CWS) quantum codes formalism presents a unifying
approach to both additive and nonadditive quantum error-correcting codes
(arXiv:0708.1021 [quant-ph]), but only for binary states. Here we generalize
the CWS framework to the nonbinary case (of both prime and nonprime dimension)
and map the search for nonbinary quantum codes to a corresponding search
problem for classical nonbinary codes with specific error patterns. We show
that while the additivity properties of nonbinary CWS codes are similar to the
binary case, the structural properties of the nonbinary codes differ
substantially from the binary case, even for prime dimensions. In particular,
we identify specific structure patterns of stabilizer groups, based on which
efficient constructions might be possible for codes that encode more dimensions
than any stabilizer codes of the same length and distance; similar methods
cannot be applied in the binary case. Understanding of these structural
properties can help prune the search space and facilitate the identification of
good nonbinary CWS codes.


title: Noise in random Boolean networks

abstract:
  We investigate the effect of noise on Random Boolean Networks. Noise is
implemented as a probability $p$ that a node does not obey its deterministic
update rule. We define two order parameters, the long-time average of the
Hamming distance between a network with and without noise, and the average
frozenness, which is a measure of the extent to which a node prefers one of the
two Boolean states. We evaluate both order parameters as function of the noise
strength, finding a smooth transition from deterministic ($p=0$) to fully
stochastic ($p=1/2$) dynamics for networks with $K\le2$, and a first order
transition at $p=0$ for $K>2$. Most of the results obtained by computer
simulation are also derived analytically. The average Hamming distance can be
evaluated using the annealed approximation. In order to obtain the distribution
of frozenness as function of the noise strength, more sophisticated
self-consistent calculations had to be performed. This distribution is a
collection of delta peaks for K=1, and it has a fractal sructure for $K>1$,
approaching a continuous distribution in the limit $K\gg1$.


title: Pairing of Supermassive Black Holes in unequal-mass mergers

abstract:
  Disk galaxies with a spheroidal component are known to host Supermassive
Black Holes (SMBHs) in their center. Unequal-mass galaxy mergers have been
rarely studied despite the fact that they are the large majority of merging
events by number and they are associated with the typical targets of
gravitational wave experiments such as LISA. We performed N-body/SPH
simulations of disk galaxy mergers with mass ratios 1:4 and 1:10 at redshifts
z=0 and z=3. They have the highest resolution achieved so far for merging
galaxies, and include star formation and supernova feedback. Gas dissipation is
found to be necessary for the pairing of SMBHs in these minor mergers. Still,
1:10 mergers with gas allow an efficient pairing only at high z when orbital
times are short enough compared to the Hubble time.


title:
Survey of Hopf fibrations and rotation conventions in mathematics and
  physics

abstract:
  We present a unifying framework for understanding several different versions
of the Hopf fibration, and use this framework to reconcile two methods of
representing rotations of 3-space by unitary matrices--the mathematician's
convention based on quaternion algebra, and the physicist's convention based on
the Bloch sphere.


title: Complex Cooperative Behaviour in Range-free Frustrated Many-body Systems

abstract:
  A brief introduction and overview is given of the complexity that is possible
and the challenges its study poses in many-body systems in which spatial
dimension is irrelevant and naively one might have expected trivial behaviour.


title:
Spectral properties of quasi-one-dimensional conductors with a finite
  transverse band dispersion

abstract:
  We determine the one-particle spectral function and the corresponding derived
quantities for the conducting chain lattice with the finite inter-chain hopping
$t_\perp$ and the three-dimensional long-range Coulomb electron-electron
interaction. The standard $G_{0}W_{0}$ approximation is used. It is shown that,
due to the optical character of the anisotropic plasmon dispersion caused by
the finite $t_\perp$, the low energy quasi-particle $\delta$-peak appears in
the spectral function in addition to the hump present at the energies of the
order of plasmon energy. The particular attention is devoted to the continuous
cross-over from the non-Fermi liquid to the Fermi liquid regime by increasing
$t_\perp$. It is shown that the spectral weight of the hump transfers to the
quasi-particle as the optical gap in the plasmon dispersion increases together
with $t_\perp$, with the quasi-particle residuum $Z$ behaving like $- (\ln
t_{\perp})^{-1}$ in the limit $t_{\perp}\to 0$. Our approach is appropriate for
the wide range of energy scales given by the plasmon energy and the width of
the conduction band, and is complementary to the Luttinger liquid techniques
that are limited to the low energy regime close to the Fermi surface.


title:
Collisionless relaxation in gravitational systems: From violent
  relaxation to gravothermal collapse

abstract:
  Theory and simulations are used to study collisionless relaxation of a
gravitational $N$-body system. It is shown that when the initial one particle
distribution function satisfies the virial condition -- potential energy is
minus twice the kinetic energy -- the system quickly relaxes to a metastable
state described {\it quantitatively} by the Lynden-Bell distribution with a
cutoff. If the initial distribution function does not meet the virial
requirement, the system undergoes violent oscillations, resulting in a partial
evaporation of mass. The leftover particles phase separate into a core-halo
structure. The theory presented allows us to quantitatively predict the amount
and the distribution of mass left in the central core, without any adjustable
parameters. On a longer time scale $\tau_G \sim N$ collisionless relaxation
leads to a gravothermal collapse.


title:
Searching for Very-High-Energy Gamma-Ray Bursts from Evaporating
  Primordial Black Holes

abstract:
  Temporal and energy characteristics of the very-high-energy gamma-ray bursts
from evaporating primordial black holes have been calculated by assuming that
the photospheric and chromospheric effects are negligible. The technique of
searching for such bursts on shower arrays is described. We show that the burst
time profile and the array dead time should be taken into account to interpret
experimental data. Based on data from the Andyrchy array of the Baksan Neutrino
Observatory (Institute for Nuclear Research, Russian Academy of Sciences), we
have obtained an upper limit on the number density of evaporating primordial
black holes in a local region of space with a scale size of ~10^{-3} pc.
Comparison with the results of previous experiments is made.


title:
Search for Higgs Bosons in SUSY Cascades in CMS and Dark Matter with
  Non-universal Gaugino Masses

abstract:
  In grand unified theories (GUT), non-universal boundary conditions for the
gaugino masses may arise at the unification scale, and affect the observability
of the neutral MSSM Higgs bosons (h/H/A) at the LHC. The implications of such
non-universal gaugino masses are investigated for the Higgs boson production in
the SUSY cascade decay chain gluino --> squark quark, squark --> neutralino_2
quark, neutralino_2 --> neutralino_1 h/H/A, h/H/A --> b b-bar produced in pp
interactions. In the singlet representation with universal gaugino masses only
the light Higgs boson can be produced in this cascade with the parameter region
of interest for us, while with non-universal gaugino masses heavy neutral MSSM
Higgs boson production may dominate. The allowed parameter space in the light
of the WMAP constraints on the cold dark matter relic density is investigated
in the above scenarios for gaugino mass parameters. We also demonstrate that
combination of representations can give the required amount of dark matter in
any point of the parameter space. In the non-universal case we show that heavy
Higgs bosons can be detected in the studied cascade in parameter regions with
the WMAP preferred neutralino relic density.


title: Graphene quantum dots: Beyond a Dirac billiard

abstract:
  We present realistic simulations of quantum confinement effects in ballistic
graphene quantum dots with linear dimensions of 10 to 40 nm. We determine
wavefunctions and energy level statistics in the presence of disorder resulting
from edge roughness, charge impurities, or short-ranged scatterers. Marked
deviations from a simple Dirac billiard for massless fermions are found. We
find a remarkably stable dependence of the nearest-neighbor level spacing on
edge roughness suggesting that the roughness of fabricated devices can be
potentially characterized by the distribution of measured Coulomb blockade
peaks.


title: Fragmentation of Positronium (Ps) in collision with Li ion

abstract:
  Fragmentation of ground state ortho Positronium (Ps) in collision with Li ion
(Li+) is studied in the framework of post collisional Coulomb distorted eikonal
approximation (CDEA) for the target elastic case . The present model takes
account of the two center effect on the ejected e which is crucial for a proper
description of the projectile ionization involving an ionic target. Both the
fully differential (TDCS) and the doubly differential (DDCS) cross sections
(energy spectra) are investigated at intermediate and high incident energies. A
broad distinct Electron loss peak (ELP) centered around v_e ~ v_p is noted in
the e energy spectrum in contrast to the sharp ELP for a heavy projectile. Two
salient features are noted in the present study: i) the shift of the e DDCS
peak (summed over e+ angles) towards higher ejection energy with respect to
half the residual energy of the system, ii) comparison of the e& e+ energy
spectra reflect a strong e - e+ asymmetry with respect to the ratio v_e/v_p =1
>. Both these features could be attributed to the post collisional two center
effect on the e due to its parent nucleus (e+) and the screened target ion .
Two different wave functions of the Li ion are chosen in order to test the
sensitivity of the present results with respect to the choice of the wave
function.


title: Hadronic Momentum Densities in the Transverse Plane

abstract:
  We examine the spatial density within extended objects of the momentum
component $p^+$, and find relativistically exact connections to Fourier
transforms of gravitational form factors. We apply these results to obtain
semi-empirical momentum density distributions within nucleons, and similar
distributions for spin-1 objects based on theoretical results from the AdS/QCD
correspondence. We find that the momentum density in the transverse plane is
more compact than the charge density.


title:
Global Smooth Effects and Well-Posedness for the Derivative Nonlinear
  Schr\"odinger Equation with Small Rough Data

abstract:
  \rm We obtain the global smooth effects for the solutions of the linear
Schr\"odinger equation in anisotropic Lebesgue spaces. Applying these
estimates, we study the Cauchy problem for the generalized elliptical and
non-elliptical derivative nonlinear Schr\"odinger equations (DNLS) and get the
global well posedness of solutions with small data in modulation spaces
$M^{3/2}_{2,1}(\mathbb{R}^n)$. Noticing that $H^{\tilde{s}} \subset M^s_{2,1}$
$(\tilde{s}-s>n/2)$ is an optimal inclusion, we have shown the global well
posedness of DNLS with a class of very rough data.


title: Minimal models for proteins and RNA: From folding to function

abstract:
  We present a panoramic view of the utility of coarse-grained (CG) models to
study folding and functions of proteins and RNA. Drawing largely on the methods
developed in our group over the last twenty years, we describe a number of key
applications ranging from folding of proteins with disulfide bonds to functions
of molecular machines. After presenting the theoretical basis that justifies
the use of CG models, we explore the biophysical basis for the emergence of a
finite number of folds from lattice models. The lattice model simulations of
approach to the folded state show that non-native interactions are relevant
only early in the folding process - a finding that rationalizes the success of
structure-based models that emphasize native interactions. Applications of
off-lattice $C_{\alpha}$ and models that explicitly consider side chains
($C_{\alpha}$-SCM) to folding of $\beta$-hairpin and effects of macromolecular
crowding are briefly discussed. Successful application of a new class of
off-lattice model, referred to as the Self-Organized Polymer (SOP), is shown by
describing the response of Green Fluorescent Protein (GFP) to mechanical force.
The utility of the SOP model is further illustrated by applications that
clarify the functions of the chaperonin GroEL and motion of the molecular motor
kinesin. We also present two distinct models for RNA, namely, the Three Site
Interaction (TIS) model and the SOP model, that probe forced unfolding and
force quench refolding of a simple hairpin and {\it Azoarcus} ribozyme. The
predictions based on the SOP model show that force-induced unfolding pathways
of the ribozyme can be dramatically changed by varying the loading rate. We
conclude with a discussion of future prospects for the use of coarse-grained
models in addressing problems of outstanding interest in biology.


title: Optimizing Compiler for Engineering Problems

abstract:
  New information technologies provide a lot of prospects for performance
improvement. One of them is "Dynamic Source Code Generation and Compilation".
This article shows how this way provides high performance for engineering
problems.


title: QCD at Non-Zero Density : Lattice Results

abstract:
  A concise review of the progress of lattice calculations at non-zero density
since QM2006 is given, with emphasis on the high baryon density, low
temperature domain. Possibilities for exploring densities higher than those
studied by standard techniques are analysed. The phase transitions of cold,
dense matter, where the sign problem remains severe, are discussed in the
context of QCD-like models and approximations to QCD.


title:
Heavy Coronal Ions in the Heliosphere: I. Global Distribution of
  Charge-states of C, N, O, Mg, Si and S

abstract:
  Aims: Investigate/Study de-charging of solar wind C, N, O, Mg, Si and S ions
and assess fluxes of resulting ENA in the heliosphere. Methods: The model
treats the heavy ions as test particles convected by (and in a particular case
also diffusing through) a hydrodynamically calculated background plasma flow,
from 1 AU to the termination shock (TS), to heliosheath (HS) and finally to
heliospheric tail (HT). The ions undergo radiative and dielectronic
recombinations, charge exchanges, photo- and electron impact ionizations with
plasma particles, interstellar neutral atoms (calculated on a Monte-Carlo
model) and solar photons. Results: Highly-charged heavy coronal ions flowing
with the solar wind undergo successive de-ionizations, mainly in the
heliosheath, leading to charge-states much lower than in the supersonic solar
wind. If Coulomb scattering is the main ion energy loss mechanism, the end
product of these deionizations are fluxes of ENA of ~1 keV/nucleon originating
in the upwind heliosheath that for C, Mg, Si and S may constitute sources of
pickup ions (PUI) significantly exceeding the interstellar supply. Conclusions:
Discussed processes result in (i) distinct difference of ion charge q in the
supersonic solar wind (approximately q >= +Z/2, Z = atomic number) compared to
that in the HS (approximately 0 <= q <= +Z/2)), (ii) probable concentration of
singly ionized atoms (q = +1) in the heliosheath towards the heliopause (HP)
and in the HT, (iii) possible significant production of ENA in the HS offering
natural explanation for production of PUI, and -- after acceleration at the TS
-- anomalous cosmic rays (ACR) of species (like C, Mg, Si, S) unable to enter
the heliospheric cavity from outside because of their total ionization in the
local interstellar medium.


title:
Identities for hyperelliptic P-functions of genus one, two and three in
  covariant form

abstract:
  We give a covariant treatment of the quadratic differential identities
satisfied by the P-functions on the Jacobian of smooth hyperelliptic curves of
genera 1, 2 and 3.


title:
Phases and magnetization process of an anisotropic Shastry-Sutherland
  model

abstract:
  We examine ground state properties of the spin-1/2 easy-axis Heisenberg model
on the Shastry-Sutherland lattice with ferromagnetic transverse spin exchange
using quantum Monte Carlo and degenerate perturbation theory. For vanishing
transverse exchange, the model reduces to an antiferromagnetic Ising model that
besides Neel order harbors regions of extensive ground state degeneracy. In the
quantum regime, we find a dimerized phase of triplet states, separated from the
Neel ordered phase by a superfluid. The quantum phase transitions between these
phases are characterized. The magnetization process shows a magnetization
plateau at 1/3 of the saturation value, that persists down to the Ising limit,
and a further plateau at 1/2 only in the quantum regime. For both plateaus, we
determine the crystalline patterns of the localized triplet excitations. No
further plateaus nor supersolid phases are found in this model.


title: Some properties of multivariate measures of concordance

abstract:
  We explore the consequences of a set of axioms which extend Scarsini's axioms
for bivariate measures of concordance to the multivariate case and exhibit the
following results: (1) A method of extending measures of concordance from the
bivariate case to arbitrarily high dimensions. (2) A formula expressing the
measure of concordance of the random vectors $(\pm X_1,...,\pm X_n)$ in terms
of the measures of concordance of the "marginal" random vectors
$(X_{i_1},...,X_{i_k})$. (3) A method of expressing the measure of concordance
of an odd-dimensional copula in terms of the measures of concordance of its
even-dimensional marginals. (4) A family of relations which exist between the
measures of concordance of the marginals of a given copula.


title:
A simple parameter-free one-center model potential for an effective
  one-electron description of molecular hydrogen

abstract:
  For the description of an H2 molecule an effective one-electron model
potential is proposed which is fully determined by the exact ionization
potential of the H2 molecule. In order to test the model potential and examine
its properties it is employed to determine excitation energies, transition
moments, and oscillator strengths in a range of the internuclear distances, 0.8
< R < 2.5 a.u. In addition, it is used as a description of an H2 target in
calculations of the cross sections for photoionization and for partial
excitation in collisions with singly-charged ions. The comparison of the
results obtained with the model potential with literature data for H2 molecules
yields a good agreement and encourages therefore an extended usage of the
potential in various other applications or in order to consider the importance
of two-electron and anisotropy effects.


title: Strong electronic correlations in Li$_x$ZnPc organic metals

abstract:
  Nuclear magnetic resonance, electron paramagnetic resonance and magnetization
measurements show that bulk Li$_x$ZnPc are strongly correlated one-dimensional
metals. The temperature dependence of the nuclear spin-lattice relaxation rate
$1/T_1$ and of the static uniform susceptibility $\chi_S$ on approaching room
temperature are characteristic of a Fermi liquid. Moreover, while for $x\simeq
2$ the electrons are delocalized down to low temperature, for $x\to 4$ a
tendency towards localization is noticed upon cooling, yielding an increase
both in $1/T_1$ and $\chi_s$. The $x$-dependence of the effective density of
states at the Fermi level $D(E_F)$ displays a sharp enhancement for $x\simeq
2$, at the half filling of the ZnPc lowest unoccupied molecular orbitals. This
suggests that Li$_x$ZnPc is on the edge of a metal-insulator transition where
enhanced superconducting fluctuations could develop.


title:
A tangential force model for interactions between bonded colloidal
  particles

abstract:
  Recently, Pantina and Furst (Phys. Rev. Lett., 94(13), 138301, 2005)
experimentally demon- strated that there are tangential forces between bonded
colloidal particles and that bonds between colloidal particles are capable of
supporting bending moments. We introduce a model to be used in computer
simulations that describes these tangential interactions. We show how the model
parame- ters can be determined from experimental data. Simulations using the
model are able to reproduce the measurement of Pantina and Furst. Application
of the model to an aggregate with fractal structure leads to more realistic
behavior than using classical approaches only.


title: n-ary Fuzzy Logic and Neutrosophic Logic Operators

abstract:
  We extend Knuth's 16 Boolean binary logic operators to fuzzy logic and
neutrosophic logic binary operators. Then we generalize them to n-ary fuzzy
logic and neutrosophic logic operators using the smarandache codification of
the Venn diagram and a defined vector neutrosophic law. In such way, new
operators in neutrosophic logic/set/probability are built.


title:
Production at High $p_T$ in Central Au+Au and $p+p$ collisions at
  $\sqrt{s_{_{NN}}} = 200$ GeV in STAR

abstract:
  he $\rho^0$ production at high-$p_T$ (5.0 $\leq p_T \leq$ 10.0 GeV/$c$)
measured in minimum bias $p+p$, Au+Au and central Au+Au collisions in the STAR
detector are presented. The $\rho^0/\pi$ ratio measured in $p+p$ is compared to
PYTHIA calculations as a test of perturbative quantum chromodynamics (pQCD)
that describes reasonably well particle production from hard processes. The
$\rho^0$ nuclear modification factor are also presented. In $p+p$ collisions,
charged pions and (anti-)protons are measured in the range 5.0 $\leq p_T \leq$
15.0 GeV/$c$ and the anti-particle to particle ratio and the baryon to meson
ratios of these hadrons are discussed.


title:
The Evolution Of Carbon, Sulphur, and Titanium Isotopes from
  High-Redshift to the Local Universe

abstract:
  Recent observations of carbon, sulphur, and titanium isotopes at redshifts
z~1 and in the local stellar disc and halo have opened a new window into the
study of isotopic abundance patterns and the origin of the chemical elements.
Using our Galactic chemical evolution code GEtool, we have examined the
evolution of these isotopes within the framework of a Milky Way-like system. We
have three aims in this work: first, to test the claim that novae are required,
in order to explain the carbon isotope patterns in the Milky Way; second, to
test the claim that sulphur isotope patterns at high-redshift require an
initial mass function biased towards massive stars; and third, to test extant
chemical evolution models against new observations of titanium isotopes that
suggest an anti-correlation between trace-to-dominant isotopes with
metallicity. Based upon our dual-infall galactic chemical evolution modelling
of a Milky Way-like system, and the subsequent comparison with these new and
unique datasets, we conclude the following: novae are not required to
understand the evolution of 12C/13C in the solar neighbourhood; a massive
star-biased initial mass function is consistent with the low ratios of 12C/13C
and 32S/34S seen in one high-redshift late-type spiral, but the consequent
super-solar metallicity prediction for the interstellar medium in this system
seems highly unlikely; and deficient isotopes of titanium are predicted to
correlate positively with metallicity, in apparent disagreement with the new
datasets; if confirmed, classical chemical evolution models of the Milky Way
(and the associated supernovae nucleosynthetic yields) may need a substantial
overhaul to be made consistent.


title: On the decidability of semigroup freeness

abstract:
  This paper deals with the decidability of semigroup freeness. More precisely,
the freeness problem over a semigroup S is defined as: given a finite subset X
of S, decide whether each element of S has at most one factorization over X. To
date, the decidabilities of two freeness problems have been closely examined.
In 1953, Sardinas and Patterson proposed a now famous algorithm for the
freeness problem over the free monoid. In 1991, Klarner, Birget and Satterfield
proved the undecidability of the freeness problem over three-by-three integer
matrices. Both results led to the publication of many subsequent papers. The
aim of the present paper is three-fold: (i) to present general results
concerning freeness problems, (ii) to study the decidability of freeness
problems over various particular semigroups (special attention is devoted to
multiplicative matrix semigroups), and (iii) to propose precise, challenging
open questions in order to promote the study of the topic.


title: Neutron$-^{19}$C scattering near an Efimov state

abstract:
  The low-energy neutron$-^{19}$C scattering in a neutron-neutron-core model is
studied with large scattering lengths near the conditions for the appearance of
an Efimov state. We show that the real part of the elastic $s-$wave phase-shift
($\delta_0^R$) presents a zero, or a pole in $ k\cot\delta_0^{R}$, when the
system has an Efimov excited or virtual state. More precisely the pole scales
with the energy of the Efimov state (bound or virtual). We perform calculations
in the limit of large scattering lengths, disregarding the interaction range,
within a renormalized zero-range approach using subtracted equations. It is
also presented a brief discussion of these findings in the context of ultracold
atom physics with tunable scattering lengths.


title:
Top homology of hypergraph matching complexes, $p$-cycle complexes and
  Quillen complexes of symmetric groups

abstract:
  We investigate the representation of a symmetric group $S_n$ on the homology
of its Quillen complex at a prime $p$. For homology groups in small
codimension, we derive an explicit formula for this representation in terms of
the representations of symmetric groups on homology groups of $p$-uniform
hypergraph matching complexes. We conjecture an explicit formula for the
representation of $S_n$ on the top homology group of the corresponding
hypergraph matching complex when $n \equiv 1 \bmod p$. Our conjecture follows
from work of Bouc when $p=2$, and we prove the conjecture when $p=3$.


title: Nonequilibrium isolated molecule limit

abstract:
  Method developed by Sandalov and coworkers [Int. J. Quant. Chem. 94, 113
(2003)] is applied to inelastic transport in the case of strong correlations on
the molecule, which is relatively weakly coupled to contacts. Ability of the
approach to deal with the transport in the language of many-body molecular
states as well as take into account charge-specific normal modes and
nonadiabatic couplings is stressed. We demonstrate capabilities of the
technique within simple model calculations, and compare it to previously
published approaches.


title:
Single crystal growth and physical properties of the layered arsenide
  BaRh_2As_2

abstract:
  Single crystals of BaRh_2As_2 have been synthesized from a Pb flux. We
present the room temperature crystal structure, single crystal x-ray
diffraction measurements as a function of temperature T, anisotropic magnetic
susceptibility \chi versus T, electrical resistivity in the ab-plane \rho
versus T, Hall coefficient versus T and magnetic field H, and heat capacity C
versus T measurements on the crystals. The single crystal structure
determination confirms that BaRh_2As_2 forms in the tetragonal ThCr_2Si_2 type
structure (space group I4/mmm) with lattice parameters a = b = 4.0564(6)\AA and
c = 12.797(4) \AA. Band structure calculations show that BaRh_2As_2 should be
metallic with a small density of states at the Fermi energy N(E_ F) = 3.49
states/eV f.u. (where f.u. \equiv formula unit) for both spin directions.
\rho(T) data in the ab-plane confirm that the material is indeed metallic with
a residual resistivity \rho(2K) = 29 \mu \Omega cm, and with a residual
resistivity ratio \rho(310K)/\rho(2K) = 5.3. The observed \chi(T) is small
(\sim 10^{-5} cm^3/mol) and weakly anisotropic with \chi_{ab}/\chi_ c \approx
2. The C(T) data indicate a small density of states at the Fermi energy with
the low temperature Sommerfeld coefficient \gamma = 4.7(9) mJ/mol K^2. There
are no indications of superconductivity, spin density wave, or structural
transitions between 2K and 300K. We compare the calculated density of states
versus energy of BaRh_2As_2 with that of BaFe_2As_2.


title: The Photometric Variability of HH 30

abstract:
  HH 30 is an edge-on disk around a young stellar object. Previous imaging with
the Hubble Space Telescope has show morphological variability that is possibly
related to the rotation of the star or the disk. We report the results of two
terrestrial observing campaigns to monitor the integrated magnitude of HH 30.
We use the Lomb-Scargle periodogram to look for periodic modulation with
periods between 2 days and almost 90 days in these two data sets and in a
third, previously published, data set. We develop a method to deal with
short-term correlations in the data. Our results indicate that none of the data
sets shows evidence for significant periodic photometric modulation.


title: A New Atmospheric Model for HD 189733 b

abstract:
  We have developed a new two-dimensional hydrostatically-balanced isobaric
hydrodynamic model for use in simulation of exoplanetary atmospheres. We apply
this model to the infrared photosphere of the hot Jupiter HD 189733 b, for
which an excellent 8-micron light curve has been obtained. For reasonable
parameter choices, the results of our model are consistent with these
observations. In our simulations, strongly turbulent supersonic flow develops,
with wind speeds of approximately 5 km/s. This flow geometry causes chaotic
variation of the temperature distribution, leading to observable variations in
the light curve from one orbit to the next.


title: Some relative stable categories are compactly generated

abstract:
  Let G be a finite group. The stable module category of G has been applied
extensively in group representation theory. In particular, it has been used to
great effect that it is a triangulated category which is compactly generated.
  Let H be a subgroup of G. It is possible to define a stable module category
of G relative to H. It too is a triangulated category, but no non-trivial
examples have been known where this relative stable category was compactly
generated.
  We show here that the relative stable category is compactly generated if the
group algebra of H has finite representation type. In characteristic p, this is
equivalent to the Sylow p-subgroups of H being cyclic.


title: Acoustic black hole evaporation as plasma diffusion phenomena

abstract:
  Acoustic analogues of Kerr black hole in plasmas are considered, by taking
for granted the existence of acoustic ion waves in plasmas. An effective black
holes (BH) in curved Riemannian spacetime in a random walk plasmas is endowed
with a naked singularity, when plasmas are in the lowest diffusion mode. The
plasma particle diffusion is encoded in the effective metric. The diffusive
solution has a horizon when the plasma flow reaches the sound velocity in the
medium and a shock wave is obtained inside the slab. The sonic black hole
curved Riemannian metric is also found in terms of particle number density in
plasmas. The sonic BH singularity is found at the center of the plasma
diffusive slab from the study of the Ricci curvature scalar for constant
diffusion coefficient. It is suggested and shown that the Hawking temperature
is proportional to the plasma Kelvin temperature through diffusion coefficient
dependence to this temperature. Therefore Unruh sonic or dumb BH is shown to
have a relation between Hawking and plasma diffusive temperatures. BH
evaporation is analogous to the diffusive phenomena in plasmas, since in both
cases Hawking temperature is inversely proportional to mass. It is shown that
Hawking analogue temperature of a plasma torus is
$T_{H}(torus)\approx{10^{-4}K}$ which is much higher than the gravitational
Hawking temperature of a one solar mass BH, ${T_{H}}^{GR}\approx{10^{-8}K}$,
but still very small for being detectable in plasma laboratories.


title:
Is it possible to check urgently the 5-loop analytical results for the
  $e^+e^-$-annihilation Adler function ?

abstract:
  Considering the results of recent distinguished analytical calculations of
the 5-loop single-fermion loop corrections to the QED $\beta$-function we
emphasize that to our point of view it is important to perform their
independent cross-checks. We propose one of the ways of these cross-check. It
is based on the application of the original Crewther relation. We derive the
new analytical expressions for the $C_F^4\alpha_s^4$-contributions to the
Bjorken polarized sum rule. If results of possible direct calculations will
agree with the presented expression, then the appearance of $\zeta_3$-term in
the 5-loop correction to the QED $\beta$-function and in the $C_F^4\alpha_s^4$
contribution into the $e^+e^-$ annihilation Adler function will get independent
support and may be analysed within the framework of the recently introduced
concept of "maximal transcendentality".


title:
Nonlinear harmonic generation and devices in doubly-resonant Kerr
  cavities

abstract:
  We describea theoretical analysis of the nonlinear dynamics of third-harmonic
generation ($\omega\to3\omega$) via Kerr ($\chithree$) nonlinearities in a
resonant cavity with resonances at both $\omega$ and $3\omega$. Such a doubly
resonant cavity greatly reduces the required power for efficient harmonic
generation, by a factor of $\sim V/Q^2$ where $V$ is the modal volume and $Q$
is the lifetime, and can even exhibit 100% harmonic conversion efficiency at a
critical input power. However, we show that it also exhibits a rich variety of
nonlinear dynamics, such as multistable solutions and long-period limit
cycles.We describe how to compensate for self/cross-phase modulation (which
otherwise shifts the cavity frequencies out of resonance), and how to excite
the different stable solutions (and especially the high-efficiency solutions)
by specially modulated input pulses.


title:
Low-dimensional magnetism in the mixed Cr valence spin-chain compound
  Sr_4Cr_3O_9

abstract:
  Sr_4Cr_3O_9 is the n = 2 member of a family of quasi-one-dimensional
compounds A_{n+2}T_{n+1}O_{3n+3} (A = Ca, Sr, or Ba, T = transition metal, and
n = 1 to \infty) having a crystal structure which consists of chains of n TO_6
octahedra alternated by one TO_6 trigonal prism running along the c-axis. The
chains are arranged on a triangular lattice in the ab-plane. We report the
synthesis, structure, magnetization M versus magnetic field H, magnetic
susceptibility \chi versus temperature T and specific heat C versus T
measurements on sintered and arc-melted polycrystalline samples of Sr_4Cr_3O_9.
The \chi data have a T dependence which is typical of low-dimensional magnetic
systems with dominant antiferromagnetic (AF) exchange interactions.
Specifically, \chi(T) shows a broad maximum at T_{max} \approx 200K for the
sintered pellet and T_{max}\approx 265K for the arc-melted sample, indicating
the onset of short-range magnetic order. Below T = 15K we observe 2 anomalies
in the \chi(T) data for both samples suggesting the onset of long-range
magnetic ordering. The corresponding anomalies in the C(T) data however are
weak indicating that only a small amount of the expected magnetic entropy is
recovered at the magnetic transitions and that strong short-range AF order
exists above these temperatures.


title: Planck Scale Cosmology in Resummed Quantum Gravity

abstract:
  We show that, by using resummation techniques based on the extension of the
methods of Yennie, Frautschi and Suura to Feynman's formulation of Einstein's
theory, we get quantum field theoretic predictions for the UV fixed-point
values of the dimensionless gravitational and cosmological constants.
Connections to the phenomenological asymptotic safety analysis of Planck scale
cosmology by Bonanno and Reuter are discussed.


title:
Crossing the Phantom Divide with Parameterized Post-Friedmann Dark
  Energy

abstract:
  Dark energy models with a single scalar field cannot cross the equation of
state divide set by a cosmological constant. More general models that allow
crossing require additional degrees of freedom to ensure gravitational
stability. We show that a parameterized post-Friedmann description of cosmic
acceleration provides a simple but accurate description of multiple scalar
field crossing models. Moreover the prescription provides a well controlled
approximation for a wide range of "smooth" dark energy models. It conserves
energy and momentum and is exact in the metric evolution on scales well above
and below the transition scale to relative smoothness. Standard linear
perturbation tools have been altered to include this description and made
publicly available for studies of the dark energy involving cosmological
structure out to the horizon scale.


title: Ricci Solitons and Einstein-Scalar Field Theory

abstract:
  B List has recently studied a geometric flow whose fixed points correspond to
static Ricci flat spacetimes. It is now known that this flow is in fact Ricci
flow modulo pullback by a certain diffeomorphism. We use this observation to
associate to each static Ricci flat spacetime a local Ricci soliton in one
higher dimension. As well, solutions of Euclidean-signature Einstein gravity
coupled to a free massless scalar field with nonzero cosmological constant are
associated to shrinking or expanding Ricci solitons. We exhibit examples,
including an explicit family of complete expanding solitons which can be
thought of as a Ricci flow for a complete Lorentzian metric. The possible
generalization to Ricci-flat stationary metrics leads us to consider an
alternative to Ricci flow.


title:
Making Massless Dirac Fermions from Patterned Two-Dimensional Electron
  Gases

abstract:
  Analysis of the electronic structure of an ordinary two-dimensional electron
gas (2DEG) under an appropriate external periodic potential of hexagonal
symmetry reveals that massless Dirac fermions are generated near the corners of
the supercell Brillouin zone. The required potential parameters are found to be
achievable under or close to laboratory conditions. Moreover, the group
velocity is tunable by changing either the effective mass of the 2DEG or the
lattice parameter of the external potential, and it is insensitive to the
potential amplitude. The finding should provide a new class of systems other
than graphene for investigating and exploiting massless Dirac fermions using
2DEGs in semiconductors.


title: Magnetoplasmons in layered graphene structures

abstract:
  We calculate the dispersion equations for magnetoplasmons in a single layer,
a pair of parallel layers, a graphite bilayer and a superlattice of graphene
layers in a perpendicular magnetic field. We demonstrate the feasibility of a
drift-induced instability of magnetoplasmons. The magnetoplasmon instability in
a superlattice is enhanced compared to a single graphene layer. The energies of
the unstable magnetoplasmons could be in the terahertz (THz) part of the
electromagnetic spectrum. The enhanced instability makes superlattice graphene
a potential source of THz radiation.


title: Self-organization using synaptic plasticity

abstract:
  Large networks of spiking neurons show abrupt changes in their collective
dynamics resembling phase transitions studied in statistical physics. An
example of this phenomenon is the transition from irregular, noise-driven
dynamics to regular, self-sustained behavior observed in networks of
integrate-and-fire neurons as the interaction strength between the neurons
increases. In this work we show how a network of spiking neurons is able to
self-organize towards a critical state for which the range of possible
inter-spike-intervals (dynamic range) is maximized. Self-organization occurs
via synaptic dynamics that we analytically derive. The resulting plasticity
rule is defined locally so that global homeostasis near the critical state is
achieved by local regulation of individual synapses.


title:
All-optically transformable broad-band transparency and amplification in
  negative-index films

abstract:
  The possibility to produce laser-induced optical transparency of the
metamaterial slab through the entire negative-index frequency domain is shown
above the certain intensity threshold of the control laser field.


title: LHC Startup

abstract:
  The Large Hadron Collider will commence operations in the latter half of
2008. The plans of the LHC experiments ALICE, ATLAS, CMS and LHCb are
described. The scenario for progression of luminosity and the strategies of
these 4 experiments to use the initial data are detailed. There are significant
measurements possible with integrated luminosities of 1, 10 and 100 pb^-1.
These measurements will provide essential calibration and tests of the
detectors, understanding of the Standard Model backgrounds and a first
oportunity to look for new physics.


title: Saturated subfields and invariants of finite groups

abstract:
  Every subfield $\kk(\phi)$ of the field of rational functions
$\kk(x_1,...,x_n)$ is contained in a unique maximal subfield of the form
$\kk(\psi)$. The element $\psi$ is called generative for the element $\phi$. A
subfield of $\kk(x_1,...,x_n)$ is called saturated if it contains a generative
element of each its element. We study the saturation property for subfields of
invariants $\kk(x_1,...,x_n)^G$, where $G$ is a finite group of automorphisms
of the field $\kk(x_1,...,x_n)$.


title: Precision QEDXQCD Resummation Theory for LHC Physics: Status and Update

abstract:
  We present the elements of the IR-improved DGLAP-CS theory as it relates to
the new MC friendly exponentiated scheme for precision calculation of higher
order corrections to LHC physics in which IR singularities from both QED and
QCD are canceled to all orders in alpha and in alpha_s simultaneously in the
presence of rigorous shower/ME matching. We present the first MC data comparing
the implied new showers themselves with the standard ones using the HERWIG6.5
MC event generator as a test case at LHC energies. As expected, the IR-improved
shower re-populates lower values of the energy fraction z and lower values of
the attendant p_T for the standard HERWIG6.5 input parameters. Possible
phenomenological implications are discussed.


title: QCD Calculations of Radiative B Decays

abstract:
  The current status of B -> Xs gamma decay rate calculations is summarized.
Missing ingredients at the NNLO level are listed. The global normalization
factor and non-perturbative effects are discussed. Arguments are presented that
results for the cutoff-enhanced perturbative corrections have been misused in
Ref. [15] by applying them in the region E_gamma \in [1.0, 1.6] GeV, which
means that the corresponding numerical effect on BR(B -> Xs gamma, E_gamma >
1.6 GeV) is unreliable.


title: Can a Matter-Wave Interferometer Detect Translational Speed?

abstract:
  Based only on the Galilean addition of velocities and the de Broglie
relation, it is deduced that in a matter-wave interferometer with slow-speed
particles, a moving segment of deltaL with a velocity V contributes deltaPhi =
(2Pi/vlamda)VdotdeltaL to the total phase difference of the interferometer,
where v is the speed of the particles and lamda is the wavelength.. This
expression is exactly the same as the generalized Sagnac effect for light waves
found by experiments except that v is replaced by c. For a rotational motion,
it leads to the Sagnac effect. Additionally, the scientific value of this
relationship is also to explore the possibility of detecting translation speeds
by a matter-wave interferometer. Two configurations of the experimental setup
have been indicated and the key element is that the paths of the interfering
beams constitute a loop with an opening. If the possibility is confirmed by
experiments, the conclusions will be that there is a preferred reference frame
for matter waves and a speedometer with a very high sensitivity is possible.


title: Asteroseismology and the Solar-Stellar Connection

abstract:
  In March 2009, NASA will launch the Kepler satellite -- a mission designed to
discover habitable Earth-like planets around distant Sun-like stars. The method
that Kepler will use to detect distant worlds will only reveal the size of the
planet relative to the size of the host star, so part of the mission is devoted
to characterizing other suns using asteroseismology. In this proceedings, I
give a broad overview of the Kepler mission and the data that it will produce,
with a special emphasis on how it could improve our understanding of solar and
stellar dynamos. I conclude with an update on the development of a stellar
modeling pipeline for interpreting asteroseismic observations.


title: Relic density of neutrinos with primordial asymmetries

abstract:
  We study flavor oscillations in the early universe, assuming primordial
neutrino-antineutrino asymmetries. Including collisions and pair processes in
the kinetic equations, we not only estimate the degree of flavor equilibration,
but for the first time also kinetic equilibration among neutrinos and with the
ambient plasma. Typically the restrictive BBN bound on the nue-antinue
asymmetry indeed applies to all flavors as claimed in the previous literature,
but fine-tuned initial asymmetries always allow for a large surviving neutrino
excess radiation that may show up in precision cosmological data.


title:
Complete Treatment of Galaxy Two-Point Statistics: Gravitational Lensing
  Effects and Redshift-Space Distortions

abstract:
  We present a coherent theoretical framework for computing gravitational
lensing effects and redshift-space distortions in an inhomogeneous universe and
investigate their impacts on galaxy two-point statistics. Adopting the
linearized FRW metric, we derive the gravitational lensing and the generalized
Sachs-Wolfe effects that include the weak lensing distortion, magnification,
and time delay effects, and the redshift-space distortion, Sachs-Wolfe, and
integrated Sachs-Wolfe effects, respectively. Based on this framework, we first
compute their effects on observed source fluctuations, separating them as two
physically distinct origins: the volume effect that involves the change of
volume and is always present in galaxy two-point statistics, and the source
effect that depends on the intrinsic properties of source populations. Then we
identify several terms that are ignored in the standard method, and we compute
the observed galaxy two-point statistics, an ensemble average of all the
combinations of the intrinsic source fluctuations and the additional
contributions from the gravitational lensing and the generalized Sachs-Wolfe
effects. This unified treatment of galaxy two-point statistics clarifies the
relation of the gravitational lensing and the generalized Sachs-Wolfe effects
to the metric perturbations and the underlying matter fluctuations. For near
future dark energy surveys, we compute additional contributions to the observed
galaxy two-point statistics and analyze their impact on the anisotropic
structure. Thorough theoretical modeling of galaxy two-point statistics would
be not only necessary to analyze precision measurements from upcoming dark
energy surveys, but also provide further discriminatory power in understanding
the underlying physical mechanisms.


title: The star-formation history of K-selected galaxies

abstract:
  We have studied the uJy radio properties of K-selected galaxies detected in
the Ultra-Deep Survey portion of UKIDSS using 610- and 1,400-MHz images from
the VLA and GMRT. These deep radio mosaics, combined with the largest and
deepest K image currently available, allow high-S/N detections of many
K-selected sub-populations, including sBzK and pBzK star-forming and passive
galaxies. We find a strong correlation between the radio and K fluxes and a
linear relationship between SFR and K luminosity. We find no evidence, from
either radio spectral indices or a comparison with submm-derived SFRs, that the
full sample is strongly contaminated by AGN. The sBzK and pBzK galaxies have
similar levels of radio flux, SFR and specific SFR (SSFR) at z < 1.4,
suggesting there is strong contamination of the pBzK sample by star-forming
galaxies. At z > 1.4, pBzK galaxies become difficult to detect in the radio
stack, though the implied SFRs are still much higher than expected for
passively evolving galaxies. Their radio emission may come from low-luminosity
AGN. EROs straddle the passive and star-forming regions of the BzK diagram and
also straddle the two groups in terms of their radio properties. K-bright ERO
samples are dominated by passive galaxies and faint ERO samples contain more
star-forming galaxies. The star-formation history (SFH) from stacking all K
sources in the UDS agrees well with that derived for other wavebands and other
radio surveys, at least out to z ~ 2. The radio-derived SFH then appears to
fall more steeply than that measured at other wavelengths. The SSFR for
K-selected sources rises strongly with redshift at all stellar masses, and
shows a weak dependence on stellar mass. High- and low-mass galaxies show a
similar decline in SSFR since z ~ 2 (abridged).


title:
Direct calculation of the radiative efficiency of an accretion disk
  around a black hole

abstract:
  Numerical simulation of magnetohydrodynamic (MHD) turbulence makes it
possible to study accretion dynamics in detail. However, special effort is
required to connect inflow dynamics (dependent largely on angular momentum
transport) to radiation (dependent largely on thermodynamics and photon
diffusion). To this end we extend the flux-conservative, general relativistic
MHD code HARM from axisymmetry to full 3D. The use of an energy conserving
algorithm allows the energy dissipated in the course of relativistic accretion
to be captured as heat. The inclusion of a simple optically thin cooling
function permits explicit control of the simulated disk's geometric thickness
as well as a direct calculation of both the amplitude and location of the
radiative cooling associated with the accretion stresses. Fully relativistic
ray-tracing is used to compute the luminosity received by distant observers.
For a disk with aspect ratio H/r ~ 0.1 accreting onto a black hole with spin
parameter a/M = 0.9, we find that there is significant dissipation beyond that
predicted by the classical Novikov-Thorne model. However, much of it occurs
deep in the potential, where photon capture and gravitational redshifting can
strongly limit the net photon energy escaping to infinity. In addition, with
these parameters and this radiation model, significant thermal and magnetic
energy remains with the gas and is accreted by the black hole. In our model,
the net luminosi ty reaching infinity is 6% greater than the Novikov-Thorne
prediction. If the accreted thermal energy were wholly radiated, the total
luminosity of the accretion flow would be ~20% greater than the Novikov-Thorne
value.


title: Suzaku Observations of Four Heavily Absorbed HMXBs

abstract:
  We report on Suzaku observations of four unidentified sources from the
INTEGRAL and Swift BAT Galactic plane surveys. All the sources have a large
neutral hydrogen column density and are likely members of an emerging class of
heavily absorbed high mass X-ray binary (HMXB) first identified in INTEGRAL
observations. Two of the sources in our sample are approximately constant flux
sources, one source shows periodic variation and one source exhibited a short,
bright X-ray outburst. The periodicity is transient, suggesting it is produced
by a neutron star in an elliptical orbit around a stellar wind source. We
analyze the flaring source in several segments to look for spectral variation
and discuss the implications of the findings for the nature of the source. We
conclude that all four sources in our sample can be identified with the
emerging class of highly absorbed HMXBs, that one is a newly identified
transient X-ray pulsar and that at least one is a newly identified supergiant
fast X-ray transient (SFXT).


title: Weak quasistatic magnetism in the frustrated Kondo lattice Pr_2Ir_2O_7

abstract:
  Muon spin relaxation experiments have been performed in the pyrochlore
iridate Pr_2Ir_2O_7 for temperatures in the range 0.025-250 K. Kubo-Toyabe
relaxation functions are observed up to > 200 K, indicating static magnetism
over this temperature range. The T -> 0 static muon spin relaxation rate
Delta(0) ~ 8 mus^-1 implies a weak quasistatic moment (~0.1 mu_B). The
temperature dependence of Delta is highly non-mean-field-like, decreasing
smoothly by orders of magnitude but remaining nonzero below ~150 K. The data
rule out ordering of the full Pr^3+ CEF ground-state moment (3.0 mu_B) down to
0.025 K. The weak static magnetism is most likely due to hyperfine-enhanced
^141Pr nuclear magnetism. The dynamic relaxation rate lambda increases markedly
below ~20 K, probably due to slowing down of spin fluctuations in the
spin-liquid state. At low temperatures lambda is strong and
temperature-independent, indicative of a high density of low-lying spin
excitations as is common in frustrated antiferromagnets.


title: Multiple solutions for the $p-$laplace operator with critical growth

abstract:
  In this note we show the existence of at least three nontrivial solutions to
the following quasilinear elliptic equation $-\Delta_p u = |u|^{p^*-2}u +
\lambda f(x,u)$ in a smooth bounded domain $\Omega$ of $\R^N$ with homogeneous
Dirichlet boundary conditions on $\partial\Omega$, where $p^*=Np/(N-p)$ is the
critical Sobolev exponent and $\Delta_p u =div(|\nabla u|^{p-2}\nabla u)$ is
the $p-$laplacian. The proof is based on variational arguments and the
classical concentrated compactness method.


title:
SuperIso v3.0: A program for calculating flavor physics observables in
  2HDM and supersymmetry

abstract:
  We describe SuperIso v3.0 which is a public program for evaluation of flavor
physics observables in the Standard Model (SM), general two-Higgs-doublet model
(2HDM), minimal supersymmetric Standard Model (MSSM) and next to minimal
supersymmetric Standard Model (NMSSM). SuperIso v3.0, in addition to the
branching ratio of B -> X_s gamma and the isospin asymmetry of B -> K* gamma,
incorporates other flavor observables such as the branching ratio of B_s -> mu+
mu-, the branching ratio of B -> tau nu_tau, the branching ratio of B -> D tau
nu_tau, the branching ratio of K -> mu nu_mu and the branching ratios of D_s ->
tau nu_tau and D_s -> mu nu_mu. The calculation of the branching ratio of B ->
X_s gamma is also improved, as it includes NNLO Standard Model contributions.
The program also computes the muon anomalous magnetic moment (g-2). Nine sample
models are included in the package, namely SM, 2HDM, and mSUGRA, NUHM, AMSB and
GMSB for the MSSM, and CNMSSM, NGMSB and NNUHM for the NMSSM. SuperIso uses a
SUSY Les Houches Accord file (SLHA1 or SLHA2) as input, which can be either
generated automatically by the program via a call to external spectrum
calculators, or provided by the user. The calculation of the observables is
detailed in the Appendices, where a suggestion for the allowed intervals for
each observable is also provided.


title:
Approximate capacity of the two-way relay channel: A deterministic
  approach

abstract:
  We study the capacity of the full-duplex bidirectional (or two-way) relay
channel with two nodes and one relay. The channels in the forward direction are
assumed to be different (in general) than the channels in the backward
direction, i.e. channel reciprocity is not assumed. We use the recently
proposed deterministic approach to capture the essence of the problem and to
determine a good transmission and relay strategy for the Gaussian channel.
Depending on the ratio of the individual channel gains, we propose to use
either a simple amplify-and-forward or a particular superposition coding
strategy at the relay. We analyze the achievable rate region and show that the
scheme achieves to within 3 bits the cut-set bound for all values of channel
gains.


title:
Thermal-radiation-induced nonequilibrium carriers in an intrinsic
  graphene

abstract:
  We examine an intrinsic graphene connected to the phonon thermostat at
temperature T under irradiation of thermal photons with temperature T_r, other
than T. The distribution of nonequilibrium electron-hole pairs was obtained for
the cases of low and high concentration of carriers. For the case when the
interparticle scattering is unessential, the distribution function is
determined by the interplay of intraband relaxation of energy due to acoustic
phonons and interband radiative transitions caused by the thermal radiation.
When the Coulomb scattering dominates, then the quasi-equilibrium distribution
with effective temperature and non-equilibrium concentration, determined
through balance equations, is realized. Due to the effect of thermal radiation
with temperature $T_r\neq T$ concentration and conductivity of carriers in
graphene modify essentially. It is demonstrated, that at $T_r>T$ the negative
interband absorption, caused by the inversion of carriers distribution, can
occur, i.e. graphene can be unstable under thermal irradiation.


title: On slim double Lie groupoids

abstract:
  We prove that every slim double Lie groupoid with proper core action is
completely determined by a factorization of a certain canonically defined
"diagonal" Lie groupoid.


title: Photo-induced separation of chiral isomers in a classical buffer gas

abstract:
  We develop a theory of photo-induced drift of chiral molecules or small
particles in classical buffer gases. In the absence of a magnetic field there
exists a flux of chiral molecules, provided the electromagnetic field is
circularly polarized. It has opposite signs for different chiral isomers. In
the presence of a magnetic field the flux can be also induced by a linearly
polarized (or unpolarized) electromagnetic field. The magnitude of the flux is
not proportional to either linear or orbital momentum of the electromagnetic
field.


title: The Time Inversion for Modified Oscillators

abstract:
  We discuss a new completely integrable case of the time-dependent
Schroedinger equation in $R^n$ with variable coefficients for a modified
oscillator, which is dual with respect to the time inversion to a model of the
quantum oscillator recently considered by Meiler, Cordero-Soto, and Suslov. A
second pair of dual Hamiltonians is also found in the momentum representation.
Our examples show that in mathematical physics and quantum mechanics a change
in the direction of time may require a total change of the system dynamics in
order to return the system back to its original quantum state. Particular
solutions of the corresponding Schroedinger equations are also obtained. A
Hamiltonian structure of the classical integrable problem and its quantization
are also discussed.


title: Strong mass segregation around a massive black hole

abstract:
  We show that the mass-segregation solution for the steady state distribution
of stars around a massive black hole (MBH) has two branches: the known weak
segregation solution (Bahcall & Wolf 1977), and a newly discovered strong
segregation solution, presented here. The nature of the solution depends on the
heavy-to-light stellar mass ratio M_H/M_L and on the unbound population number
ratio N_H/N_L, through the relaxational coupling parameter \Delta=4 N_H M_H^2
/[N_L M_L^2(3+M_H/M_L)]. When the heavy stars are relatively common
(\Delta>>1), they scatter frequently on each other. This efficient
self-coupling leads to weak mass segregation, where the stars form n \propto
r^{-\alpha_M} mass-dependent cusps near the MBH, with indices \alpha_H=7/4 for
the heavy stars and 3/2<\alpha_L<7/4 for the light stars (i.e.
\max(\alpha_H-\alpha_L)~=1/4). However, when the heavy stars are relatively
rare (\Delta<<1), they scatter mostly on light stars, sink to the center by
dynamical friction and settle into a much steeper cusp with 2~<\alpha_H<11/4,
while the light stars form a 3/2<\alpha_L<7/4 cusp, resulting in strong
segregation (i.e. \max(\alpha_H-\alpha_L)~=1). We show that the present-day
mass function of evolved stellar populations (coeval or continuously star
forming) with a universal initial mass function, separate into two distinct
mass scales, ~1 Mo of main sequence and compact dwarfs, and ~10 Mo of stellar
black holes (SBHs), and have \Delta<0.1. We conclude that it is likely that
many relaxed galactic nuclei are strongly segregated. We review indications of
strong segregation in observations of the Galactic Center and in results of
numeric simulations, and briefly list some possible implications of a very high
central concentration of SBHs around a MBH.