title: A congruence problem for polyhedra

abstract:
  It is well known that to determine a triangle up to congruence requires three
measurements: three sides, two sides and the included angle, or one side and
two angles. We consider various generalizations of this fact to two and three
dimensions. In particular we consider the following question: given a convex
polyhedron $P$, how many measurements are required to determine $P$ up to
congruence?
  We show that in general the answer is that the number of measurements
required is equal to the number of edges of the polyhedron. However, for many
polyhedra fewer measurements suffice; in the case of the unit cube we show that
nine carefully chosen measurements are enough.
  We also prove a number of analogous results for planar polygons. In
particular we describe a variety of quadrilaterals, including all rhombi and
all rectangles, that can be determined up to congruence with only four
measurements, and we prove the existence of $n$-gons requiring only $n$
measurements. Finally, we show that one cannot do better: for any sequence of
$n$ distinct points in the plane one needs at least $n$ measurements to
determine it up to congruence.


title: Density Matrix Expansion for Low-Momentum Interactions

abstract:
  A first step toward a universal nuclear energy density functional based on
low-momentum interactions is taken using the density matrix expansion (DME) of
Negele and Vautherin. The DME is adapted for non-local momentum-space
potentials and generalized to include local three-body interactions. Different
prescriptions for the three-body DME are compared. Exploratory results are
given at the Hartree-Fock level, along with a roadmap for systematic
improvements within an effective action framework for Kohn-Sham density
functional theory.


title: Critical behavior of the contact process in annealed scale-free networks

abstract:
  Critical behavior of the contact process is studied in annealed scale-free
networks by mapping it on the random walk problem. We obtain the analytic
results for the critical scaling, using the event-driven dynamics approach.
These results are confirmed by numerical simulations. The disorder fluctuation
induced by the sampling disorder in annealed networks is also explored.
Finally, we discuss over the discrepancy of the finite-size-scaling theory in
annealed and quenched networks in spirit of the droplet size scale and the
linking disorder fluctuation.


title: Two Models for Noisy Feedback in MIMO Channels

abstract:
  Two distinct models of feedback, suited for FDD (Frequency Division Duplex)
and TDD (Frequency Division Duplex) systems respectively, have been widely
studied in the literature. In this paper, we compare these two models of
feedback in terms of the diversity multiplexing tradeoff for varying amount of
channel state information at the terminals. We find that, when all
imperfections are accounted for, the maximum achievable diversity order in FDD
systems matches the diversity order in TDD systems. TDD systems achieve better
diversity order at higher multiplexing gains. In FDD systems, the maximum
diversity order can be achieved with just a single bit of feedback. Additional
bits of feedback (perfect or imperfect) do not affect the diversity order if
the receiver does not know the channel state information.


title:
Gate control of a quantum dot single-electron spin in realistic
  confining potentials: anisotropy effects

abstract:
  Among recent proposals for next-generation, non-charge-based logic is the
notion that a single electron can be trapped and its spin can be manipulated
through the application of gate potentials. In this paper, we present numerical
simulations of such spins in single electron devices for realistic (asymmetric)
confining potentials in two-dimensional electrostatically confined quantum
dots. Using analytical and numerical techniques we show that breaking the
in-plane rotational symmetry of the confining potential leads to a significant
effect on the tunability of the g-factor with applied gate potentials. In
particular, anisotropy extends the range of tunability to larger quantum dots.


title:
An Analysis of the Effect of Ghost Force Oscillation on Quasicontinuum
  Error

abstract:
  The atomistic to continuum interface for quasicontinuum energies exhibits
nonzero forces under uniform strain that have been called ghost forces. In this
paper, we prove for a linearization of a one-dimensional quasicontinuum energy
around a uniform strain that the effect of the ghost forces on the displacement
nearly cancels and has a small effect on the error away from the interface. We
give optimal order error estimates that show that the quasicontinuum
displacement converges to the atomistic displacement at the optimal rate O($h$)
in the discrete $\ell^\infty$ norm and O($h^{1/p}$) in the $w^{1,p}$ norm for
$1 \leq p < \infty.$ where $h$ is the interatomic spacing. We also give a proof
that the error in the displacement gradient decays away from the interface to
O($h$) at distance O($h|\log h|$) in the atomistic region and distance O($h$)
in the continuum region. E, Ming, and Yang previously gave a counterexample to
convergence in the $w^{1,\infty}$ norm for a harmonic interatomic potential.
Our work gives an explicit and simplified form for the decay of the effect of
the atomistic to continuum coupling error in terms of a general underlying
interatomic potential and gives the estimates described above in the discrete
$\ell^\infty$ and $w^{1,p}$ norms.


title: The resolvent kernel for PCF self-similar fractals

abstract:
  For the Laplacian $\Delta$ defined on a p.c.f. self-similar fractal, we give
an explicit formula for the resolvent kernel of the Laplacian with Dirichlet
boundary conditions, and also with Neumann boundary conditions. That is, we
construct a symmetric function $G^{(\lambda)}$ which solves $(\lambda
\mathbb{I} - \Delta)^{-1} f(x) = \int G^{(\lambda)}(x,y) f(y) d\mu(y)$. The
method is similar to Kigami's construction of the Green kernel in
\cite[\S3.5]{Kig01} and is expressed as a sum of scaled and "translated" copies
of a certain function $\psi^{(\lambda)}$ which may be considered as a
fundamental solution of the resolvent equation. Examples of the explicit
resolvent kernel formula are given for the unit interval, standard Sierpinski
gasket, and the level-3 Sierpinski gasket $SG_3$.


title: New Permutation Representations of the Braid Group

abstract:
  We give a new infinite family of group homomorphisms from the braid group B_k
to the symmetric group S_{mk} for all k and m \geq 2. Most known permutation
representations of braids are included in this family. We prove that the
homomorphisms in this family are non-cyclic and transitive. For any divisor l
of m, 1\leq l < m, we prove in particular that if \frac{m}{l} is odd then there
are 1 + \frac{m}{l} non-conjugate homomorphisms included in our family.
  We define a certain natural restriction on homomorphisms B_k to S_n, common
to all homomorphisms in our family, which we term 'good', and of which there
are two types.
  We prove that all good homomorphisms B_k to S_{mk} of type 1 are included in
the infinite family of homomorphisms we gave. For m=3, we prove that all good
homomorphisms B_k to S_{3k} of type 2 are also included in this family.
  Finally, we refute a conjecture made by Matei and Suciu regarding permutation
representations of braids and give an updated conjecture.


title:
Global paths of time-periodic solutions of the Benjamin-Ono equation
  connecting pairs of traveling waves

abstract:
  We classify all bifurcations from traveling waves to non-trivial
time-periodic solutions of the Benjamin-Ono equation that are predicted by
linearization. We use a spectrally accurate numerical continuation method to
study several paths of non-trivial solutions beyond the realm of linear theory.
These paths are found to either re-connect with a different traveling wave or
to blow up. In the latter case, as the bifurcation parameter approaches a
critical value, the amplitude of the initial condition grows without bound and
the period approaches zero. We then prove a theorem that gives the mapping from
one bifurcation to its counterpart on the other side of the path and exhibits
exact formulas for the time-periodic solutions on this path. The Fourier
coefficients of these solutions are power sums of a finite number of particle
positions whose elementary symmetric functions execute simple orbits (circles
or epicycles) in the unit disk of the complex plane. We also find examples of
interior bifurcations from these paths of already non-trivial solutions, but we
do not attempt to analyze their analytic structure.


title: On the size of the set A(A+1)

abstract:
  Let $F_p$ be the field of a prime order $p.$ For a subset $A\subset F_p$ we
consider the product set $A(A+1).$ This set is an image of $A\times A$ under
the polynomial mapping $f(x,y)=xy+x:F_p\times F_p\to F_p.$ In the present paper
we show that if $|A|<p^{1/2},$ then $$ |A(A+1)|\ge |A|^{106/105+o(1)}.$$ If
$|A|>p^{2/3},$ then we prove that $$|A(A+1)|\gg \sqrt{p |A|}$$ and show that
this is the optimal in general settings bound up to the implied constant. We
also estimate the cardinality of $A(A+1)$ when $A$ is a subset of real numbers.
We show that in this case one has the Elekes type bound $$ |A(A+1)|\gg
|A|^{5/4}. $$


title:
Arrest of flow and emergence of activated processes at the glass
  transition of a suspension of particles with hard sphere-like interactions

abstract:
  By combining aspects of the coherent and self intermediate scattering
functions, measured by dynamical light scattering on a suspension of hard
sphere-like particles, we show that the arrest of particle number density
fluctuations spreads from the position of the main structure factor peak.
Taking the velocity auto-correlation function into account we propose that as
density fluctuations are arrested the system's ability to respond to diffusing
momentum currents is impaired and, accordingly, the viscosity increases. From
the stretching of the coherent intermediate scattering function we read a
quantitative manifestation of the undissipated thermal energy, the source of
those, ergodicity restoring, processes that short-circuit the sharp transition
to a perfect glass.


title: An information-theoretic derivation of min-cut based clustering

abstract:
  Min-cut clustering, based on minimizing one of two heuristic cost-functions
proposed by Shi and Malik, has spawned tremendous research, both analytic and
algorithmic, in the graph partitioning and image segmentation communities over
the last decade. It is however unclear if these heuristics can be derived from
a more general principle facilitating generalization to new problem settings.
Motivated by an existing graph partitioning framework, we derive relationships
between optimizing relevance information, as defined in the Information
Bottleneck method, and the regularized cut in a K-partitioned graph. For fast
mixing graphs, we show that the cost functions introduced by Shi and Malik can
be well approximated as the rate of loss of predictive information about the
location of random walkers on the graph. For graphs generated from a stochastic
algorithm designed to model community structure, the optimal information
theoretic partition and the optimal min-cut partition are shown to be the same
with high probability.


title:
An infinite branching hierarchy of time-periodic solutions of the
  Benjamin-Ono equation

abstract:
  We present a new representation of solutions of the Benjamin-Ono equation
that are periodic in space and time. Up to an additive constant and a Galilean
transformation, each of these solutions is a previously known, multi-periodic
solution; however, the new representation unifies the subset of such solutions
with a fixed spatial period and a continuously varying temporal period into a
single network of smooth manifolds connected together by an infinite hierarchy
of bifurcations. Our representation explicitly describes the evolution of the
Fourier modes of the solution as well as the particle trajectories in a
meromorphic representation of these solutions; therefore, we have also solved
the problem of finding periodic solutions of the ordinary differential equation
governing these particles, including a description of a bifurcation mechanism
for adding or removing particles without destroying periodicity. We illustrate
the types of bifurcation that occur with several examples, including degenerate
bifurcations not predicted by linearization about traveling waves.


title:
MASSCLEAN - MASSive CLuster Evolution and ANalysis Package - Description
  and Tests

abstract:
  We present MASSCLEAN, a new, sophisticated and robust stellar cluster image
and photometry simulation package. This visualization tool is able to create
color-magnitude diagrams and standard FITS images in any of the traditional
optical and near-infrared bands based on cluster characteristics input by the
user, including but not limited to distance, age, mass, radius and extinction.
At the limit of very distant, unresolved clusters, we have checked the
integrated colors created in MASSCLEAN against those from other simple stellar
population models with consistent results. We have also tested models which
provide a reasonable estimate of the field star contamination in images and
color-magnitude diagrams. We demonstrate the package by simulating images and
color-magnitude diagrams of well known massive Milky Way clusters and compare
their appearance to real data. Because the algorithm populates the cluster with
a discrete number of tenable stars, it can be used as part of a Monte Carlo
Method to derive the pr obabilistic range of characteristics (integrated
colors, for example) consistent with a given cluster mass and age. Our
simulation package is available for download and will run on any standard
desktop running UNIX/Linux. Full documentation on installation and its use is
also available. Finally, a web-based version of MASSCLEAN which can be
immediately used and is sufficiently adaptable for most applications is
available through a web interface.


title: On The Structure and Automorphism Group of Finite Alexander Quandles

abstract:
  We prove that an Alexander quandle of prime order is generated by any pair of
distinct elements. Furthermore, we prove for such a quandle that any ordered
pair of distinct elements can be sent to any other such pair by an automorphism
of the quandle.


title:
The $K^-p\to \Sigma^0\pi^0$ reaction at low energies in a chiral quark
  model

abstract:
  A chiral quark-model approach is extended to the study of the $\bar{K}N$
scattering at low energies. The process of $K^-p\to \Sigma^0\pi^0$ at
$P_K\lesssim 800$ MeV/c (i.e. the center mass energy $W\lesssim 1.7$ GeV) is
investigated. This approach is successful in describing the differential cross
sections and total cross section with the roles of the low-lying $\Lambda$
resonances in $n=1$ shells clarified. The $\Lambda(1405)S_{01}$ dominates the
reactions over the energy region considered here. Around $P_K\simeq 400$ MeV/c,
the $\Lambda(1520)D_{03}$ is responsible for a strong resonant peak in the
cross section. The $\Lambda(1670)S_{01}$ has obvious contributions around
$P_K=750$ MeV/c, while the contribution of $\Lambda(1690)D_{03}$ is less
important in this energy region. The non-resonant background contributions,
i.e. $u$-channel and $t$-channel, also play important roles in the explanation
of the angular distributions due to amplitude interferences.


title:
Strong parity mixing in the FFLO superconductivity in systems with
  coexisting spin and charge fluctuations

abstract:
  We study the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state of spin
fluctuation mediated pairing, and focus on the effect of coexisting charge
fluctuations. We find that (i) consecutive transitions from singlet pairing to
FFLO and further to $S_z=1$ triplet pairing can generally take place upon
increasing the magnetic field when strong charge fluctuations coexist with spin
fluctuations, and (ii) the enhancement of the charge fluctuations lead to a
significant increase of the parity mixing in the FFLO state, where the
triplet/singlet component ratio in the gap function can be close to unity.
  We propose that such consecutive pairing state transition and strong parity
mixing in the FFLO state may take place in a quasi-one-dimensional organic
superconductor (TMTSF)$_2X$.


title:
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum
  Method

abstract:
  We investigate two examples of node-based cluster summation rules that have
been proposed for the quasicontinuum method: a force-based approach (Knap &
Ortiz, J. Mech. Phys. Solids 49, 2001), and an energy-based approach which is a
generalization of the non-local quasicontinuum method (Eidel & Stukowski, J.
Mech. Phys. Solids, to appear). We show that, even for the case of nearest
neighbour interaction in a one-dimensional periodic chain, both of these
approaches create large errors when used with graded and, more generally,
non-smooth meshes. These errors cannot be removed by increasing the cluster
size. We offer some suggestions how the accuracy of (cluster) summation rules
may be improved.


title:
Well-posedness in critical spaces for the compressible Navier-Stokes
  equations with density dependent viscosities

abstract:
  In this paper, we prove the local well-posedness in critical Besov spaces for
the compressible Navier-Stokes equations with density dependent viscosities
under the assumption that the initial density is bounded away from zero.


title: Exact coherent matter-wave soliton induced and controlled by laser field

abstract:
  We find a set of exact solutions of coherent bright solitons in the
quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) trapped in a harmonic
potential, by using a Gaussian laser well (barrier) with oscillating position
to balance the repulsive (attractive) interatomic interaction. The bright
solitons do not deform in propagation and are controlled accurately by the
laser driving which resonates with the trapping potential. The solitonic motion
is more stable for the repulsive BEC than that of the attractive BEC. The
results reveal a different kind of soliton trains compared to that reported
recently in Phys. Rev. Lett. 100, 164102 (2008) and suggest an experimental
scheme for generating and controlling the coherent matter-wave solitons.


title: Dynamics of quasiconformal fields

abstract:
  A uniqueness theorem is established for autonomous systems of ODEs,
$\dot{x}=f(x)$, where $f$ is a Sobolev vector field with additional geometric
structure, such as delta-monoticity or reduced quasiconformality. Specifically,
through every non-critical point of $f$ there passes a unique integral curve.


title: Effects of the Noncommutative Standard Model on WW scattering

abstract:
  We examine W pair production in the Noncommutative Standard Model constructed
with the Seiberg-Witten map. Consideration of partial wave unitarity in the
reactions WW to WW and e+e- to WW shows that the latter process is more
sensitive and that tree-level unitarity is violated when scattering energies
are of order a TeV and the noncommutative scale is below about a TeV. We find
that WW production at the LHC is not sensitive to scales above the unitarity
bounds. WW production in e+e- annihilation, however, provides a good probe of
such effects with noncommutative scales below 300-400 GeV being excluded at
LEP-II, and the ILC being sensitive to scales up to 10-20 TeV. In addition, we
find that the ability to measure the helicity states of the final state W
bosons at the ILC provides a diagnostic tool to determine and disentangle the
different possible noncommutative contributions.


title:
Global well-posedness for the Gross-Pitaevskii equation with an angular
  momentum rotational term

abstract:
  In this paper, we establish the global well-posedness of the Cauchy problem
for the Gross-Pitaevskii equation with an rotational angular momentum term in
the space $\Real^2$.


title:
Global well-posedness for the Gross-Pitaevskii equation with an angular
  momentum rotational term in three dimensions

abstract:
  In this paper, we establish the global well-posedness of the Cauchy problem
for the Gross-Pitaevskii equation with an angular momentum rotational term in
which the angular velocity is equal to the isotropic trapping frequency in the
space $\Real^3$.


title:
Wellposedness of Cauchy problem for the Fourth Order Nonlinear
  Schr\"odinger Equations in Multi-dimensional Spaces

abstract:
  We study the wellposedness of Cauchy problem for the fourth order nonlinear
Schr\"odinger equations i\partial_t u=-\eps\Delta u+\Delta^2
u+P((\partial_x^\alpha u)_{\abs{\alpha}\ls 2}, (\partial_x^\alpha
\bar{u})_{\abs{\alpha}\ls 2}),\quad t\in \Real, x\in\Real^n, where
$\eps\in\{-1,0,1\}$, $n\gs 2$ denotes the spatial dimension and $P(\cdot)$ is a
polynomial excluding constant and linear terms.


title:
Well-posedness for one-dimensional derivative nonlinear Schr\"odinger
  equations

abstract:
  In this paper, we investigate the one-dimensional derivative nonlinear
Schr\"odinger equations of the form $iu_t-u_{xx}+i\lambda\abs{u}^k u_x=0$ with
non-zero $\lambda\in \Real$ and any real number $k\gs 5$. We establish the
local well-posedness of the Cauchy problem with any initial data in $H^{1/2}$
by using the gauge transformation and the Littlewood-Paley decomposition.


title:
Synthesis of SmFeAsO by an Easy and Versatile Route and its Physical
  Property Characterization

abstract:
  We report synthesis, structure, electrical transport and heat capacity of
SmFeAsO. The title compound is synthesized by one-step encapsulation of
stoichiometric FeAs, Sm, and Sm2O3 in an evacuated (10-5 Torr) quartz tube by
prolong (72 hours) annealing at 1100oC. The as synthesized compound is
crystallized in tetragonal structure with P4/nmm space group having lattice
parameters a = 3.93726(33) A and c = 8.49802(07) A. The resistance (R-T)
measurements on the compound exhibited ground state spin-density-wave
(SDW)-like metallic steps below 140 K. Heat capacity CP(T) measurements on the
title compound, showed an anomaly at around 140 K, which is reminiscent of the
SDW ordering of the compound. At lower temperatures the CP(T) shows a clear
peak at around 4.5 K. At lower temperature below 20 K, Cp(T) is also measured
under an applied field of 7 Tesla. It is concluded that the CP(T) peak at 4.5 K
is due to the anti-ferromagnetic(AFM) ordering of Sm3+ spins. These results are
in confirmation with ordering of Sm in Sm2-xCexCuO4.


title: Superconductivity of Various Borides: The Role of Stretched c- Parameter

abstract:
  The superconductivity of MgB2, AlB2, NbB2+x and TaB2+x is inter-compared. The
stretched c-lattice parameter (c = 3.52 A) of MgB2 in comparison to NbB2.4 (c =
3.32 A) and AlB2 (c = 3.25 A) decides empirically the population of their p and
s bands and as a result their transition temperature, Tc values respectively at
39K and 9.5K for the first two and no superconductivity for the later. Besides
the electron doping from substitution of Mg+2 by Al+3, the stretched
c-parameter also affects the Boron plane constructed hole type Sigma-band
population and the contribution from Mg or Al plane electron type Pi band. This
turns the electron type (mainly Pi-band conduction) non-superconducting AlB2 to
hole type (mainly s-band conduction) MgB2 superconductor (39 K) as indicated by
the thermoelectric power study. Keeping this strategy in mind that stretching
of c-parameter enhances superconductivity, the NbB2+x and TaB2+x samples are
studied for existence of superconductivity. The non-stoichiometry induces an
increase in c parameter with Boron excess in both borides. Magnetization (M-T)
and Resistivity measurements (R-T) in case of niobium boride samples show the
absence of superconductivity in stoichiometric NbB2 sample (c = 3.26 A) while a
clear diamagnetic signal and a R = 0 transition for Boron excess NbB2+x
samples. On the other hand, superconductivity is not achieved in TaB2+x case.
The probable reason behind is the comparatively lesser or insufficient
stretching of c-parameter.


title: Stellar dynamos with $\vec{\Omega}\times \vec{J}$ effect

abstract:
  We study axisymmetric mean-field dynamo models containing differential
rotation, the $\alpha$ effect and the additional turbulent induction effects.
The additional effects result from the combined action of rotation and an
inhomogeneity of the large-scale magnetic field. The best known of them is the
$\vec{\Omega}\times\vec{J}$ effect. We also include anisotropic diffusion and a
new dynamo term which is of third order in the rotation vector $\vec{\Omega}$
The model calculations are carried out using the rotation profile of the Sun as
obtained from helioseismic measurements and radial profiles of other quantities
according to a standard model of the solar interior. In addition, we consider a
dynamo model for a full sphere which is solely based on the joint induction
effects of rotation and an inhomogeneity of the large-scale magnetic field,
without differential rotation and the $\alpha$ effect (a $\delta^{2}$ dynamo
model). This kind of dynamo model may be relevant for fully convective stars.


title:
Critical Slowing Down of Triangular Lattice Spin-3/2 Heisenberg
  Antiferromagnet Li7RuO6 via 7Li NMR

abstract:
  We report 7Li NMR studies of single crystals of triangular-lattice Heisenberg
antiferromagnet Li7RuO6. Slow critical divergence with a wide critical region
of |T/TN - 1|< 7 was observed in 7Li nuclear spin-lattice relaxation rate. The
slowing down of staggered spin fluctuations was analyzed in a renormalized
classical region of a two-dimensional triangular-lattice non-linear sigma
model. A spin stiffness constant was found to reduce to about 20 % from the
value in a spin-wave approximation. The effect of spin frustration, e.g., Z2
vortex excitations on the critical phenomena is suggested.


title: Entanglement-assisted communication of classical and quantum information

abstract:
  We consider the problem of transmitting classical and quantum information
reliably over an entanglement-assisted quantum channel. Our main result is a
capacity theorem that gives a three-dimensional achievable rate region. Points
in the region are rate triples, consisting of the classical communication rate,
the quantum communication rate, and the entanglement consumption rate of a
particular coding scheme. The crucial protocol in achieving the boundary points
of the capacity region is a protocol that we name the classically-enhanced
father protocol. The classically-enhanced father protocol is more general than
other protocols in the family tree of quantum Shannon theoretic protocols, in
the sense that several previously known quantum protocols are now child
protocols of it. The classically-enhanced father protocol also shows an
improvement over a time-sharing strategy for the case of a qubit dephasing
channel--this result justifies the need for simultaneous coding of classical
and quantum information over an entanglement-assisted quantum channel. Our
capacity theorem is of a multi-letter nature (requiring a limit over many uses
of the channel), but it reduces to a single-letter characterization for at
least three channels: the completely depolarizing channel, the quantum erasure
channel, and the qubit dephasing channel.


title:
The Adaptive TreePM: An Adaptive Resolution Code for Cosmological N-body
  Simulations

abstract:
  Cosmological N-Body simulations are used for a variety of applications.
Indeed progress in the study of large scale structures and galaxy formation
would have been very limited without this tool. For nearly twenty years the
limitations imposed by computing power forced simulators to ignore some of the
basic requirements for modeling gravitational instability. One of the
limitations of most cosmological codes has been the use of a force softening
length that is much smaller than the typical inter-particle separation. This
leads to departures from collisionless evolution that is desired in these
simulations. We propose a particle based method with an adaptive resolution
where the force softening length is reduced in high density regions while
ensuring that it remains well above the local inter-particle separation. The
method, called the Adaptive TreePM, is based on the TreePM code. We present the
mathematical model and an implementation of this code, and demonstrate that the
results converge over a range of options for parameters introduced in
generalizing the code from the TreePM code. We explicitly demonstrate
collisionless evolution in collapse of an oblique plane wave. We compare the
code with the fixed resolution TreePM code and also an implementation that
mimics adaptive mesh refinement methods and comment on the agreement, and
disagreements in the results. We find that in most respects the ATreePM code
performs at least as well as the fixed resolution TreePM in highly over-dense
regions, from clustering and number density of haloes, to internal dynamics of
haloes. We also show that the adaptive code is faster than the corresponding
high resolution TreePM code.


title:
Acetylene-Accelerated Alcohol Catalytic CVD Growth of Vertically Aligned
  Single-Walled Carbon Nanotubes

abstract:
  Addition of only 1% of acetylene into ethanol was found to enhance the growth
rate of singlewalled carbon nanotubes (SWNTs) by up to ten times. Since
acetylene is a byproduct of the thermal decomposition of ethanol, this suggests
an alternative fast reaction pathway to the formation of SWNTs from ethanol via
byproducts of decomposition. This accelerated growth, however, only occurred in
the presence of ethanol, whereas pure acetylene at the same partial pressure
resulted in negligible growth and quickly deactivated the catalyst. The dormant
catalyst could be revived by reintroduction of ethanol, indicating that
catalyst deactivation is divided into reversible and irreversible stages.


title: Lowering topological entropy over subsets

abstract:
  Let $(X, T)$ be a topological dynamical system (TDS), and $h (T, K)$ the
topological entropy of a subset $K$ of $X$. $(X, T)$ is {\it lowerable} if for
each $0\le h\le h (T, X)$ there is a non-empty compact subset with entropy $h$;
is {\it hereditarily lowerable} if each non-empty compact subset is lowerable;
is {\it hereditarily uniformly lowerable} if for each non-empty compact subset
$K$ and each $0\le h\le h (T, K)$ there is a non-empty compact subset
$K_h\subseteq K$ with $h (T, K_h)= h$ and $K_h$ has at most one limit point.
  It is shown that each TDS with finite entropy is lowerable, and that a TDS
$(X, T)$ is hereditarily uniformly lowerable if and only if it is
asymptotically $h$-expansive.


title:
Gravitational energy-momentum in small regions according to the
  tetrad-teleparallel expressions

abstract:
  The gravitational energy-momentum within a small region as determined by two
tetrad-teleparallel expressions is evaluated with the aid of an orthonormal
frame adapted to Riemann normal coordinates. We find that the gauge current
"tensor" does enjoy the highly desired and rare property of being a positive
multiple of the Bel-Robinson tensor, whereas M{\o}ller's expression does not.


title: Equation of state for dense supernova matter

abstract:
  We provide an equation of state for high density supernova matter by applying
a momentum-dependent effective interaction. We focus on the study of the
equation of state of high-density and high-temperature nuclear matter
containing leptons (electrons and neutrinos) under the chemical equilibrium
condition. The conditions of charge neutrality and equilibrium under
$\beta$-decay process lead first to the evaluation of the lepton fractions and
afterwards the evaluation of internal energy, pressure, entropy and in total to
the equation of state of hot nuclear matter for various isothermal cases.
Thermal effects on the properties and equation of state of nuclear matter are
evaluated and analyzed in the framework of the proposed effective interaction
model. Since supernova matter is characterized by a constant entropy we also
present the thermodynamic properties for isentropic case. Special attention is
dedicated to the study of the contribution of the components of $\beta$-stable
nuclear matter to the entropy per particle, a quantity of great interest for
the study of structure and collapse of supernova.


title: Constraints on nuclear matter parameters of an Effective Chiral Model

abstract:
  Within an effective non-linear chiral model, we evaluate nuclear matter
parameters exploiting the uncertainties in the nuclear saturation properties.
The model is sternly constrained with minimal free parameters, which display
the interlink between nuclear incompressibility ($K$), the nucleon effective
mass ($m^{\star}$), the pion decay constant ($f_{\pi}$) and the $\sigma-$meson
mass ($m_{\sigma}$). The best fit among the various parameter set is then
extracted and employed to study the resulting Equation of state (EOS). Further,
we also discuss the consequences of imposing constraints on nuclear EOS from
Heavy-Ion collision and other phenomenological model predictions.


title: A non-smooth continuous unitary representation of a Banach-Lie group

abstract:
  In this note we show that the representation of the additive group of the
Hilbert space $L^2([0,1],\R)$ on $L^2([0,1],\C)$ given by the multiplication
operators $\pi(f) := e^{if}$ is continuous but its space of smooth vectors is
trivial. This example shows that a continuous unitary representation of an
infinite dimensional Lie group need not be smooth.


title: A Causal Set Black Hole

abstract:
  We explicitly compute the causal structure of the Schwarzschild black hole
spacetime, by providing an algorithm to decide if any pair of events is
causally related. The primary motivation for this study comes from discrete
quantum gravity, in particular the causal set approach, in which the
fundamental variables can be thought of as the causal ordering of randomly
selected events in spacetime. This work opens the way to simulating
non-conformally flat spacetimes within the causal set approach, which may allow
one to study important questions such as black hole entropy and Hawking
radiation on a full four dimensional causal set black hole.


title:
Space-Time Description of Scalar Particle Creation by a Homogeneous
  Isotropic Gravitational Field

abstract:
  We give the generalization of the method of the space-time description of
particle creation by a gravitational field for a scalar field with nonconformal
coupling to the curvature. The space-time correlation function is obtained for
a created pair of the quasi-particles, corresponding to a diagonal form of the
instantaneous Hamiltonian. The case of an adiabatic change of the metric of
homogeneous isotropic space is analyzed. We show that the created pairs of
quasi-particles in de Sitter space should be interpreted as pairs of virtual
particles.


title:
Emergence of hyperons in failed supernovae: trigger of the black hole
  formation

abstract:
  We investigate the emergence of strange baryons in the dynamical collapse of
a non-rotating massive star to a black hole by the neutrino-radiation
hydrodynamical simulations in general relativity. By following the dynamical
formation and collapse of nascent proto-neutron star from the gravitational
collapse of a 40Msun star adopting a new hyperonic EOS table, we show that the
hyperons do not appear at the core bounce but populate quickly at ~0.5-0.7 s
after the bounce to trigger the re-collapse to a black hole. They start to show
up off center owing to high temperatures and later prevail at center when the
central density becomes high enough. The neutrino emission from the accreting
proto-neutron star with the hyperonic EOS stops much earlier than the
corresponding case with a nucleonic EOS while the average energies and
luminosities are quite similar between them. These features of neutrino signal
are a potential probe of the emergence of new degrees of freedom inside the
black hole forming collapse.


title: Effectively Emergent Quantum Mechanics

abstract:
  We consider non minimal coupling between matters and gravity in modified
theories of gravity. In contrary to the current common sense, we report that
quantum mechanics can effectively emerge when the space-time geometry is
sufficiently flat. In other words, quantum mechanics might play no role when
and where the space-time geometry is highly curved.
  We study the first two simple models of Effectively Emergent Quantum
Mechanics(EEQM): R-dependent EEQM and G-dependent EEQM where R is the Ricci
scalar and G is the Gauss-Bonnet Lagrangian density. We discuss that these EEQM
theories might be fine tuned to remain consistent with all the implemented
experiments and performed observations. In particular, we observe that
G-dependent EEQM softens the problem of quantum gravity.


title:
Supergiant Temperatures and Linear Radii from Near-Infrared
  Interferometry

abstract:
  We present angular diameters for 42 luminosity class I stars and 32
luminosity class II stars that have been interferometrically determined with
the Palomar Testbed Interferometer. Derived values of radius and effective
temperature are established for these objects, and an empirical calibration of
these parameters for supergiants will be presented as a functions of spectral
type and colors. For the effective temperature versus $(V-K)_0$ color, we find
an empirical calibration with a median deviation of $\Delta T = 70$K in the
range of $0.7 < (V-K)_0 < 5.1$ for LC I stars; for LC II, the median deviation
is $\Delta T = 120$K from $0.4 < (V-K)_0 < 4.3$. Effective temperature as a
function of spectral type is also calibrated from these data, but shows
significantly more scatter than the $T_{\rm EFF}$ versus $(V-K)_0$
relationship. No deviation of $T_{\rm EFF}$ versus spectral type is seen for
these high luminosity objects relative to luminosity class II giants. Directly
determined diameters range up to $400 R_\odot$, though are limited by poor
distance determinations, which dominate the error estimates. These temperature
and radii measures reflect a direct calibration of these parameters for
supergiants from empirical means.


title:
Magnetic correlations on the full chains of Ortho-II
  YBa$_2$Cu$_3$O$_{6.5}$

abstract:
  We propose that the NMR line shape on the chain Cu in the stoichiometric
high-$T_c$ superconductor Ortho-II YBa$_2$Cu$_3$O$_{6.5}$ is determined by the
magnetization induced on Cu near O vacancies, due to strong magnetic
correlations in the chains. An unrestricted Hartree-Fock calculation of a
coupled chain-plane Hubbard model with nearest-neighbor d-wave pairing
interaction shows that the broadening of NMR lines is consistent with
disorder-induced magnetization at low temperatures. In addition, we give a
possible explanation of the anomalous bimodal line shape observed at high
temperatures in terms of nonuniform Cu valence in the chains. The proximity
between chains and CuO plane induces anisotropic magnetization on the planar
Cu, and broadens the plane NMR lines in accordance with that of the chain
lines, in agreement with experiment. We discuss implications of the model for
other experiments on underdoped YBCO.


title: The conditional convergence of the Dirichlet series of an L-function

abstract:
  The Dirichlet divisor problem is used as a model to give a conjecture
concerning the conditional convergence of the Dirichlet series of an
L-function.


title:
Radiative corrections to muon decay in leading and next to leading
  approximation for electron spectrum

abstract:
  We have noted that the electron spectrum of muon decay in the leading
logarithmic approximation calculated in two lowest orders of the perturbation
theory in the paper of Berman (1958), can be reproduced by the parton language.
This fact permits one to generalize the result to all orders of the
perturbation theory using the structure function method.


title:
Improvement of Methods for Determination of Reological Parameters of
  Non-Newtonian Fluids

abstract:
  Methods for simple and effective determination of reological parameters of
non-Newtonian liquids are proposed


title: Polymer desorption under pulling: a novel dichotomic phase transition

abstract:
  We show that the structural properties and phase behavior of a self-avoiding
polymer chain on adhesive substrate, subject to pulling at the chain end, can
be obtained by means of a Grand Canonical Ensemble (GCE) approach. We derive
analytical expressions for the mean length of the basic structural units of
adsorbed polymer, such as loops and tails, in terms of the adhesive potential
and detachment force, and determine values of the universal exponents which
govern their probability distributions. Most notably, the hitherto
controversial value of the critical adsorption exponent $\phi$ is found to
depend essentially on the interaction between different loops. The chain
detachment transition turns out to be of the first order, albeit dichotomic,
i.e., no coexistence of different phase states exists. These novel theoretical
predictions and the suggested phase diagram of the adsorption-desorption
transformation under external pulling force are verified by means of extensive
Monte Carlo simulations.


title:
Globally controlled universal quantum computation with arbitrary
  subsystem dimension

abstract:
  We introduce a scheme to perform universal quantum computation in quantum
cellular automata (QCA) fashion in arbitrary subsystem dimension (not
necessarily finite). The scheme is developed over a one spatial dimension
$N$-element array, requiring only mirror symmetric logical encoding and global
pulses. A mechanism using ancillary degrees of freedom for subsystem specific
measurement is also presented.


title:
Modelling the spectral response of the Swift-XRT CCD camera: Experience
  learnt from in-flight calibration

abstract:
  (Abbreviated) We show that the XRT spectral response calibration was
complicated by various energy offsets in photon counting (PC) and windowed
timing (WT) modes related to the way the CCD is operated in orbit (variation in
temperature during observations, contamination by optical light from the sunlit
Earth and increase in charge transfer inefficiency). We describe how these
effects can be corrected for in the ground processing software. We show that
the low-energy response, the redistribution in spectra of absorbed sources, and
the modelling of the line profile have been significantly improved since launch
by introducing empirical corrections in our code when it was not possible to
use a physical description. We note that the increase in CTI became noticeable
in June 2006 (i.e. 14 months after launch), but the evidence of a more serious
degradation in spectroscopic performance (line broadening and change in the
low-energy response) due to large charge traps (i.e. faults in the Si crystal)
became more significant after March 2007. We describe efforts to handle such
changes in the spectral response. Finally, we show that the commanded increase
in the substrate voltage from 0 to 6V on 2007 August 30 reduced the dark
current, enabling the collection of useful science data at higher CCD
temperature (up to -50C). We also briefly describe the plan to recalibrate the
XRT response files at this new voltage.


title: Constant-Time Quantum Algorithm For The Unstructured Search Problem

abstract:
  Given an item and a list of values of size $N$. It is required to decide if
such item exists in the list. Classical computer can search for the item in
O(N). The best known quantum algorithm can do the job in $O(\sqrt{N})$. In this
paper, a quantum algorithm will be proposed that can search an unstructured
list in O(1) to get the YES/NO answer with certainty.


title:
Growth of GaAs nanowires on Au, Au / Pd, Ag, Ni, Ga, Cu, Al, Ti metal
  films

abstract:
  GaAs nanowires were grown by metalorganic vapor phase epitaxy on evaporated
metal films (Au, Au / Pd, Ag, Ni, Ga, Cu, Al, Ti). The samples were
characterized by scanning electron microscope (SEM) and transmission electron
microscope (TEM). SEM images reveal that nanowires grow directly on the metals.
TEM characterization shows crystalline nanowire (nw) structure originating from
Au. Article presents state of the art about nanowire-metal interface growth and
enumerates nanowire contacting methods with metals.


title:
Electronic and elastic properties of new nitrogen-containing
  perovskite-like superconductor ZnNNi3

abstract:
  Full-potential linearized augmented plane wave (FP-LAPW) method with the
generalized gradient approximation (GGA) for the exchange-correlation potential
has been applied for the study of structural, elastic and electronic properties
of the newly synthesized nitrogen-containing perovskite-like superconductor
ZnNNi3. The optimized lattice parameter, independent elastic constants (C11,
C12 and C44), bulk modulus B, compressibility betta, and shear modulus G are
evaluated. The band structure, total and site- projected l- decomposed DOSs,
the shape of the Fermi surface, the Sommerfeld coefficient and the molar Pauli
paramagnetic susceptibility for this novel anti-perovskite are obtained and
analyzed in comparison with related anti-perovskites ZnCNi3 and MgCNi3


title: Degeneracies in a nonintegrable pairing model

abstract:
  The evolution pattern of exceptional points is studied in a non-integrable
limit of the complex-extended 3-level Richardson-Gaudin model. The appearance
of a pseudo-diabolic point from the fusion of two exceptional points is
demonstrated in the anti-hermitian limit of the model and studied in some
details.


title: Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells

abstract:
  Viscous fingers in a channel with surface tension anisotropy are numerically
studied. Scaling relations between the tip velocity v, the tip radius and the
pressure gradient are investigated for two kinds of boundary conditions of
pressure, when v is sufficiently large. The power-law relations for the
anisotropic viscous fingers are compared with two-dimensional dendritic growth.
The exponents of the power-law relations are theoretically evaluated.


title:
Spin-Valve Effect of the Spin Accumulation Resistance in a Double
  Ferromagnet - Superconductor Junction

abstract:
  We have measured the transport properties of Ferromagnet - Superconductor
nanostructures, where two superconducting aluminum (Al) electrodes are
connected through two ferromagnetic iron (Fe) ellipsoids in parallel. We find
that, below the superconducting critical temperature of Al, the resistance
depends on the relative alignment of the ferromagnets' magnetization. This
spin-valve effect is analyzed in terms of spin accumulation in the
superconducting electrode submitted to inverse proximity effect.


title:
Braneworld models with a non-minimally coupled phantom bulk field: a
  simple way to obtain the -1-crossing at late times

abstract:
  We investigate general braneworld models, with a non-minimally coupled
phantom bulk field and arbitrary brane and bulk matter contents. We show that
the effective dark energy of the brane-universe acquires a dynamical nature, as
a result of the non-minimal coupling which provides a mechanism for an indirect
"bulk-brane interaction" through gravity. For late-time cosmological evolution
and without resorting to special ansatzes or to specific areas of the parameter
space, we show that the -1-crossing of its equation-of-state parameter is
general and can be easily achieved. As an example we provide a simple, but
sufficiently general, approximate analytical solution, that presents the
crossing behavior.


title: Anisomagnetic quasi-achromats with small effective emittance

abstract:
  Quasi-achromat lattices (small dispersion is allowed in their straight
sections, between their cells) are considered; in a cell, there are bending
magnets of two kinds, of unequal magnetic field. Minimization of the effective
emittance is carried out by the following algorithm (which follows Teng, and
partly Lee).
  (1) Every inner dipole's contribution to the natural emittance is minimized
with respect to all optics parameters (relating to dispersion and
beta-function), except for the shift parameter, s_0, which specifies the
interval between the beta-function minimum and the center of a magnet; for a
side bending magnet, its contribution to an integral relating to the effective
emittance (the relation uses the fact that the arithmetic mean majorizes the
geometric mean) is minimized.
  (2) The other parameters of dipoles (fields, lengths or angles ratios,
shifts) are restricted with the boundary conditions: the equality of
Courant-Snyder invariants on the exit from a magnet and on the entrance to the
following one. (3) The minimum of effective emittance and the last free
parameters (two or three) can be found by computation.
  The accuracy of this method falls with decreasing of the number of internal
dipoles in a cell, and still the isomagnetic Tanaka-Ando minimum (for the
modified DBA*-lattice which has no inner dipoles) is reproduced with accuracy
better than half a percent. If the number of dipoles per cell does not exceed
four, the smallest effective emittance (14% lower than TA-limit) is achieved
for QBA**-lattice where all dipoles have nonzero shifts.


title:
On the Webster scalar curvature problem on the CR sphere with a
  cylindrical-type symmetry

abstract:
  By variational methods, for a kind of Webster scalar curvature problems on
the CR sphere with cylindrically symmetric curvature, we construct some
multi-peak solutions as the parameter is sufficiently small under certain
assumptions. We also obtain the asymptotic behaviors of the solutions.


title:
Mechanisms of Self-Organization and Finite Size Effects in a Minimal
  Agent Based Model

abstract:
  We present a detailed analysis of the self-organization phenomenon in which
the stylized facts originate from finite size effects with respect to the
number of agents considered and disappear in the limit of an infinite
population. By introducing the possibility that agents can enter or leave the
market depending on the behavior of the price, it is possible to show that the
system self-organizes in a regime with a finite number of agents which
corresponds to the stylized facts. The mechanism to enter or leave the market
is based on the idea that a too stable market is unappealing for traders while
the presence of price movements attracts agents to enter and speculate on the
market. We show that this mechanism is also compatible with the idea that
agents are scared by a noisy and risky market at shorter time scales. We also
show that the mechanism for self-organization is robust with respect to
variations of the exit/entry rules and that the attempt to trigger the system
to self-organize in a region without stylized facts leads to an unrealistic
dynamics. We study the self-organization in a specific agent based model but we
believe that the basic ideas should be of general validity.


title:
Cryptanalysis of the SASI Ultralightweight RFID Authentication Protocol
  with Modular Rotations

abstract:
  In this work we present the first passive attack over the SASI lightweight
authentication protocol with modular rotations. This can be used to fully
recover the secret $ID$ of the RFID tag, which is the value the protocol is
designed to conceal. The attack is described initially for recovering $\lfloor
log_2(96) \rfloor=6$ bits of the secret value $ID$, a result that by itself
allows to mount traceability attacks on any given tag. However, the proposed
scheme can be extended to obtain any amount of bits of the secret $ID$,
provided a sufficiently large number of successful consecutive sessions are
eavesdropped. We also present results on the attack's efficiency, and some
ideas to secure this version of the SASI protocol.


title: Crisis and unstable dimension variability in the bailout embedding map

abstract:
  The dynamics of inertial particles in $2-d$ incompressible flows can be
modeled by $4-d$ bailout embedding maps. The density of the inertial particles,
relative to the density of the fluid, is a crucial parameter which controls the
dynamical behaviour of the particles. We study here the dynamical behaviour of
aerosols, i.e. particles heavier than the flow. An attractor widening and
merging crisis is seen the phase space in the aerosol case. Crisis induced
intermittency is seen in the time series and the laminar length distribution of
times before bursts gives rise to a power law with the exponent $\beta=-1/3$.
The maximum Lyapunov exponent near the crisis fluctuates around zero indicating
unstable dimension variability (UDV) in the system. The presence of unstable
dimension variability is confirmed by the behaviour of the probability
distributions of the finite time Lyapunov exponents.


title:
The harmonic hyperspherical basis for identical particles without
  permutational symmetry

abstract:
  The hyperspherical harmonic basis is used to describe bound states in an
$A$--body system. The approach presented here is based on the representation of
the potential energy in terms of hyperspherical harmonic functions. Using this
representation, the matrix elements between the basis elements are simple, and
the potential energy is presented in a compact form, well suited for numerical
implementation. The basis is neither symmetrized nor antisymmetrized, as
required in the case of identical particles; however, after the diagonalization
of the Hamiltonian matrix, the eigenvectors reflect the symmetries present in
it, and the identification of the physical states is possible, as it will be
shown in specific cases. We have in mind applications to atomic, molecular, and
nuclear few-body systems in which symmetry breaking terms are present in the
Hamiltonian; their inclusion is straightforward in the present method. As an
example we solve the case of three and four particles interacting through a
short-range central interaction and Coulomb potential.


title:
An anti-correlation between X-ray luminosity and H-alpha equivalent
  width in X-ray binaries

abstract:
  We report an anticorrelation between continuum luminosity and the equivalent
width (EW) of the H-alpha emission line in X-ray binary systems. The effect is
evident both in a universal monotonic increase in H-alpha EW with time
following outbursts, as systems fade, and in a comparison between measured EWs
and contemporaneous X-ray measurements. The effect is most clear for black hole
binaries in the low/hard X-ray state, which is prevalent at X-ray luminosities
below ~1% Eddington. We do not find strong evidence for significant changes in
line profiles across accretion state changes, but this is hampered by a lack of
good data at such times. The observed anti-correlation, highly significant for
black hole binaries, is only marginally so for neutron star systems, for which
there are far less data. Comparison with previously established correlations
between optical and X-ray luminosity suggest that the line luminosity is
falling as the X-ray and optical luminosities drop, but not as fast
(approximately as L_{H-alpha} \propto L_X^{~0.4} \propto L_{opt}^{~0.7}). We
briefly discuss possible origins for such an effect, including the optical
depth, form of the irradiating spectrum and geometry of the accetion flow.
Further refinement of the relation in the future may allow measurements of
H-alpha EW to be used to estimate the luminosity of, and hence the distance to,
X-ray binary systems. Beyond this, further progress will require a better
sample of spectro-photometric data.


title:
Neutron transition strengths of $2^+_1$ states in the neutron rich
  Oxygen isotopes determined from inelastic proton scattering

abstract:
  A coupled-channel analysis of the $^{18,20,22}$O$(p,p')$ data has been
performed to determine the neutron transition strengths of 2$^+_1$ states in
Oxygen targets, using the microscopic optical potential and inelastic form
factor calculated in the folding model. A complex density- and \emph{isospin}
dependent version of the CDM3Y6 interaction was constructed, based on the
Brueckner-Hatree-Fock calculation of nuclear matter, for the folding model
input. Given an accurate isovector density dependence of the CDM3Y6
interaction, the isoscalar ($\delta_0$) and isovector ($\delta_1$) deformation
lengths of 2$^+_1$ states in $^{18,20,22}$O have been extracted from the
folding model analysis of the $(p,p')$ data. A specific $N$-dependence of
$\delta_0$ and $\delta_1$ has been established which can be linked to the
neutron shell closure occurring at $N$ approaching 16. The strongest isovector
deformation was found for 2$^+_1$ state in $^{20}$O, with $\delta_1$ about 2.5
times larger than $\delta_0$, which indicates a strong core polarization by the
valence neutrons in $^{20}$O. The ratios of the neutron/proton transition
matrix elements ($M_n/M_p$) determined for 2$^+_1$ states in $^{18,20}$O have
been compared to those deduced from the mirror symmetry, using the measured
$B(E2)$ values of 2$^+_1$ states in the proton rich $^{18}$Ne and $^{20}$Mg
nuclei, to discuss the isospin impurity in the $2^+_1$ excitation of the
$A=18,T=1$ and $A=20,T=2$ isobars.


title: Restrictions on Transversal Encoded Quantum Gate Sets

abstract:
  Transversal gates play an important role in the theory of fault-tolerant
quantum computation due to their simplicity and robustness to noise. By
definition, transversal operators do not couple physical subsystems within the
same code block. Consequently, such operators do not spread errors within code
blocks and are, therefore, fault tolerant. Nonetheless, other methods of
ensuring fault tolerance are required, as it is invariably the case that some
encoded gates cannot be implemented transversally. This observation has led to
a long-standing conjecture that transversal encoded gate sets cannot be
universal. Here we show that the ability of a quantum code to detect an
arbitrary error on any single physical subsystem is incompatible with the
existence of a universal, transversal encoded gate set for the code.


title:
Vanishing theorem for the cohomology of line bundles on Bott-Samelson
  varieties

abstract:
  We use the toric degeneration of Bott-Samelson varieties and the description
of cohomolgy of line bundles on toric varieties to deduce vanishings results
for the cohomology of lines bundles on Bott-Samelson varieties.


title:
Two-loop renormalization of vector, axial-vector and tensor fermion
  bilinears on the lattice

abstract:
  We compute the two-loop renormalization functions, in the RI' scheme, of
local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma$
corresponds to the Vector, Axial-Vector and Tensor Dirac operators, in the
lattice formulation of QCD. We consider both the flavor nonsinglet and singlet
operators.
  We use the clover action for fermions and the Wilson action for gluons. Our
results are given as a polynomial in $c_{SW}$, in terms of both the
renormalized and bare coupling constant, in the renormalized Feynman gauge.
  Finally, we present our results in the MSbar scheme, for easier comparison
with calculations in the continuum. The corresponding results, for fermions in
an arbitrary representation, together with some special features of
superficially divergent integrals, are included in the Appendices.


title: Rotationally induced vortices in optical cavity modes

abstract:
  We show that vortices appear in the modes of an astigmatic optical cavity
when it is put into rotation about its optical axis. We study the properties of
these vortices and discuss numerical results for a specific realization of such
a set-up. Our method is exact up to first order in the time-dependent paraxial
approximation and involves bosonic ladder operators in the spirit of the
quantum-mechanical harmonic oscillator.


title: On Self-mapping Degrees of $S^3$-geometry manifolds

abstract:
  In this paper we determined all of the possible self mapping degrees of the
manifolds with $S^3$-geometry, which are supposed to be all 3-manifolds with
finite fundamental groups. This is a part of a project to determine all
possible self mapping degrees of all closed orientable 3-manifold in Thurston's
picture.


title:
Asymptotic behavior of solutions of the fragmentation equation with
  shattering: An approach via self-similar Markov processes

abstract:
  The subject of this paper is a fragmentation equation with nonconservative
solutions, some mass being lost to a dust of zero-mass particles as a
consequence of an intensive splitting. Under some assumptions of regular
variation on the fragmentation rate, we describe the large time behavior of
solutions. Our approach is based on probabilistic tools: the solutions to the
fragmentation equation are constructed via nonincreasing self-similar Markov
processes that continuously reach 0 in finite time. Our main probabilistic
result describes the asymptotic behavior of these processes conditioned on
nonextinction and is then used for the solutions to the fragmentation equation.
We note that two parameters significantly influence these large time behaviors:
the rate of formation of "nearly-1 relative masses" (this rate is related to
the behavior near 0 of the L\'evy measure associated with the corresponding
self-similar Markov process) and the distribution of large initial particles.
Correctly rescaled, the solutions then converge to a nontrivial limit which is
related to the quasi-stationary solutions of the equation. Besides, these
quasi-stationary solutions, or, equivalently, the quasi-stationary
distributions of the self-similar Markov processes, are fully described.


title: Duality and Factorization Theorem in QCD

abstract:
  We find that in "two-photon"-like processes in the scalar $\varphi^3_E$ model
and also in hadron-pair production arising from the collisions of a real
(transversely polarized) and a highly virtual, longitudinally polarized, photon
in QCD, there is duality between two distinct nonperturbative mechanisms. These
two mechanisms, one involving a twist-3 Generalized Distribution Amplitude, the
other employing a leading-twist Transition Distribution Amplitude, are
associated with different regimes of factorization. In the kinematical region,
where the two mechanisms overlap, duality is observed for the scalar
$\varphi^3_E$ model, while in the QCD case the appearance of duality turns out
to be sensitive to the particular nonperturbative model applied and can,
therefore, be used as a tool for selecting the most appropriate one.


title: Energy conditions in f(R) gravity and Brans-Dicke theories

abstract:
  The equivalence between f(R) gravity and scalar-tensor theories is invoked to
study the null, strong, weak and dominant energy conditions in Brans-Dicke
theory. We consider the validity of the energy conditions in Brans-Dicke theory
by invoking the energy conditions derived from a generic f(R) theory. The
parameters involved are shown to be consistent with an accelerated expanding
universe.


title:
Fast determination of phases in LiFePO4 using low losses in electron
  energy-loss spectroscopy

abstract:
  Experimental valence electron energy loss spectra (VEELS), up to the Li K
edge, obtained on different phases of LixFePO4 are compared to first principles
calculations using the density functional code WIEN2k. In the 4-7 eV range, a
large peak is identified in the FePO4 spectrum, but is absent in LiFePO4, which
could allow the easy formation of energy filtered images. The intensity of this
peak, non sensitive to the precise orientation of the crystal, is large enough
to rapidly determine existing phases in the sample and permit future dynamical
studies. Solid solution and two-phases regions are also differentiated using Fe
M2,3 / Li K edges.


title: Random dispersion approximation for the Hubbard model

abstract:
  We use the Random Dispersion Approximation (RDA) to study the Mott-Hubbard
transition in the Hubbard model at half band filling. The RDA becomes exact for
the Hubbard model in infinite dimensions. We implement the RDA on finite chains
and employ the Lanczos exact diagonalization method in real space to calculate
the ground-state energy, the average double occupancy, the charge gap, the
momentum distribution, and the quasi-particle weight. We find a satisfactory
agreement with perturbative results in the weak- and strong-coupling limits. A
straightforward extrapolation of the RDA data for $L\leq 14$ lattice results in
a continuous Mott-Hubbard transition at $U_{\rm c}\approx W$. We discuss the
significance of a possible signature of a coexistence region between insulating
and metallic ground states in the RDA that would correspond to the scenario of
a discontinuous Mott-Hubbard transition as found in numerical investigations of
the Dynamical Mean-Field Theory for the Hubbard model.


title:
Openly factorizable spaces and compact extensions of topological
  semigroups

abstract:
  We prove that the semigroup operation of a topological semigroup $S$ extends
to a continuous semigroup operation on its the Stone-\v{C}ech compactification
$\beta S$ provided $S$ is a pseudocompact openly factorizable space, which
means that each map $f:S\to Y$ to a second countable space $Y$ can be written
as the composition $f=g\circ p$ of an open map $p:X\to Z$ onto a second
countable space $Z$ and a map $g:Z\to Y$. We present a spectral
characterization of openly factorizable spaces and establish some properties of
such spaces.


title: A Quotient Restriction Theorem for actions of real reductive groups

abstract:
  We prove a version of the Chevalley Restriction Theorem for the action of a
real reductive group G on a topological space X which locally embeds into a
holomorphic representation. Assuming that there exists an appropriate quotient
X//G for the G-action, we introduce a stratification which is defined with
respect to orbit types of closed orbits. Our main result is a description of
the quotient X//G in terms of quotients by normalizer subgroups associated to
the stratification.


title: On the Complexity and Volume of Hyperbolic 3-Manifolds

abstract:
  We compare the volume of a hyperbolic 3-manifold $M$ of finite volume and the
complexity of its fundamental group.


title: Consensus optimization on manifolds

abstract:
  The present paper considers distributed consensus algorithms that involve N
agents evolving on a connected compact homogeneous manifold. The agents track
no external reference and communicate their relative state according to a
communication graph. The consensus problem is formulated in terms of the
extrema of a cost function. This leads to efficient gradient algorithms to
synchronize (i.e. maximizing the consensus) or balance (i.e. minimizing the
consensus) the agents; a convenient adaptation of the gradient algorithms is
used when the communication graph is directed and time-varying. The cost
function is linked to a specific centroid definition on manifolds, introduced
here as the induced arithmetic mean, that is easily computable in closed form
and may be of independent interest for a number of manifolds. The special
orthogonal group SO(n) and the Grassmann manifold Gr(p,n) are treated as
original examples. A link is also drawn with the many existing results on the
circle.


title:
Embedding the bicyclic semigroup into countably compact topological
  semigroups

abstract:
  We study algebraic and topological properties of topological semigroups
containing a copy of the bicyclic semigroup C(p,q). We prove that each
topological semigroup S with pseudocompact square contains no dense copy of
C(p,q). On the other hand, we construct a (consistent) example of a
pseudocompact (countably compact) Tychonov semigroup containing a copy of
C(p,q).


title:
"Internal Linear Combination" method for the separation of CMB from
  Galactic foregrounds in the harmonic domain

abstract:
  Foreground contamination is the fundamental hindrance to the cosmic microwave
background (CMB) signals and its separation from it represents a fundamental
question in Cosmology. One of the most popular algorithm used to disentangle
foregrounds from the CMB signals is the "internal linear combination" method
(ILC). In its original version, this technique is applied directly to the
observed maps. In recent literature, however, it is suggested that in the
harmonic (Fourier) domain it is possible to obtain better results since a
separation can be attempted where the various Fourier frequencies are given
different weights. This is seen as a useful characteristic in the case of noisy
data. Here, we argue that the benefits of using such an approach are
overestimated. Better results can be obtained if a classic procedure is adopted
where data are filtered before the separation is carried out.


title:
Doppler factors, Lorentz factors and viewing angles for quasars, BL
  Lacertae objects and radio galaxies

abstract:
  We have calculated variability Doppler boosting factors, Lorentz factors, and
viewing angles for a large sample of sources by using total flux density
observations at 22 and 37 GHz and VLBI data. We decomposed the flux curves into
exponential flares and determined the variability brightness temperatures of
the fastest flares. By assuming the same intrinsic brightness temperature for
each source, we calculated the Doppler boosting factors for 87 sources. In
addition we used new apparent jet speed data to calculate the Lorentz factors
and viewing angles for 67 sources. We find that all quasars in our sample are
Doppler-boosted and that the Doppler boosting factors of BL Lacertae objects
are lower than of quasars. The new Lorentz factors are about twice as high as
in earlier studies, which is mainly due to higher apparent speeds in our
analyses. The jets of BL Lacertae objects are slower than of quasars. There are
some extreme sources with very high derived Lorentz factors of the order of a
hundred. These high Lorentz factors could be real. It is also possible that the
sources exhibit such rapid flares that the fast variations have remained
undetected in monitoring programmes, or else the sources have a complicated jet
structure that is not amenable to our simple analysis. Almost all the sources
are seen in a small viewing angle of less than 20 degrees. Our results follow
the predictions of basic unification schemes for AGN.


title:
Assessing the spatial and field dependence of the critical current
  density in YBCO bulk superconductors by scanning Hall probes

abstract:
  Although the flux density map of a bulk superconductor provides in principle
sufficient information for calculating the magnitude and the direction of the
supercurrent flow, the inversion of the Biot-Savart law is ill conditioned for
thick samples, thus rendering this method unsuitable for state of the art bulk
superconductors. If a thin (< 1 mm) slab is cut from the bulk, the inversion is
reasonably well conditioned and the variation of the critical current density
in the sample can be calculated with adequate spatial resolution. Therefore a
novel procedure is employed, which exploits the symmetry of the problem and
solves the equations non-iteratively, assuming a planar z-independent current
density. The calculated current density at a certain position is found to
depend on the magnetic induction. In this way the average field dependence of
the critical current density Jc(B) is obtained also at low fields, which is not
accessible to magnetisation measurements due to the self-field of the sample.
It is further shown that an evaluation of magnetisation loops, taking the
self-field into account, results in a similar dependence in the field range
accessible to this experiment.


title:
Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations:
  Bayesian Estimation of CMB Polarization Maps

abstract:
  We describe a sampling method to estimate the polarized CMB signal from
observed maps of the sky. We use a Metropolis-within-Gibbs algorithm to
estimate the polarized CMB map, containing Q and U Stokes parameters at each
pixel, and its covariance matrix. These can be used as inputs for cosmological
analyses. The polarized sky signal is parameterized as the sum of three
components: CMB, synchrotron emission, and thermal dust emission. The polarized
Galactic components are modeled with spatially varying power law spectral
indices for the synchrotron, and a fixed power law for the dust, and their
component maps are estimated as by-products. We apply the method to simulated
low resolution maps with pixels of side 7.2 degrees, using diagonal and full
noise realizations drawn from the WMAP noise matrices. The CMB maps are
recovered with goodness of fit consistent with errors. Computing the likelihood
of the E-mode power in the maps as a function of optical depth to reionization,
tau, for fixed temperature anisotropy power, we recover tau=0.091+-0.019 for a
simulation with input tau=0.1, and mean tau=0.098 averaged over 10 simulations.
A `null' simulation with no polarized CMB signal has maximum likelihood
consistent with tau=0. The method is applied to the five-year WMAP data, using
the K, Ka, Q and V channels. We find tau=0.090+-0.019, compared to
tau=0.086+-0.016 from the template-cleaned maps used in the primary WMAP
analysis. The synchrotron spectral index, beta, averaged over high
signal-to-noise pixels with standard deviation sigma(beta)<0.25, but excluding
~6% of the sky masked in the Galactic plane, is -3.03+-0.04. This estimate does
not vary significantly with Galactic latitude, although includes an informative
prior.


title:
Abstract cluster expansion with applications to statistical mechanical
  systems

abstract:
  We formulate a general setting for the cluster expansion method and we
discuss sufficient criteria for its convergence. We apply the results to
systems of classical and quantum particles with stable interactions.


title: A Feshbach resonance in d-wave collisions

abstract:
  We analyse a narrow Feshbach resonance with ultra-cold chromium atoms
colliding in d-wave. The resonance is made possible by dipole-dipole
interactions, which couple an incoming $l=2$ collision channel with a bound
molecular state with $l=0$. We find that three-body losses associated to this
resonance increase with temperature, and that the loss feature width as a
function of magnetic field also increases linearly with temperature. The
analysis of our experimental data shows that the Feshbach coupling is small
compared both to the temperature and to the density limited lifetime of the
resonant bound molecular state. One consequence is that the three body losse
rate is proportionnal to the square of the number of atoms, and that we can
directly relate the amplitude of the losses to the Feshbach coupling parameter.
We compare our measurement to a calculation of the coupling between the
collisionnal channel and the molecular bound state by dipole-dipole
interactions, and find a good agreement, with no adjustable parameter. An
analysis of the loss lineshape is also performed, which enables to precisely
measure the position of the resonance.


title:
Mass Spectrum in SQCD and Problems with the Seiberg Duality. Another
  Scenario

abstract:
  N=1 SQCD with SU(N_c) colors and N_F flavors of light quarks is considered
within the dynamical scenario which assumes that quarks can be in two different
phases only. These are: a) either the HQ (heavy quark) phase where they are
confined, b) or they are higgsed, at the appropriate values of parameters of
the Lagrangian.
  The mass spectra of this (direct) theory and its Seiberg's dual are obtained
and compared, for quarks of equal or unequal masses. It is shown that in all
cases when there is the additional small parameter at hand (it is
0<(3N_c-N_F)/N_F << 1 for the direct theory, or its analog 0<(2N_F-3N_c)/N_F <<
1 for the dual one), the mass spectra of the direct and dual theories are
parametrically different. A number of other regimes are also considered.


title: Scattering Resonances in a Degenerate Fermi Gas

abstract:
  We consider elastic single-particle scattering from a one-dimensional
two-component trapped superfluid Fermi gas when the incoming projectile
particle is identical to one of the confined species. Our theoretical treatment
is based on the Hartree-Fock ground state of the trapped gas and a
configuration-interaction description of the excitations. We determine the
scattering phase shifts for the system and predict Fano-type scattering
resonances that are a direct consequence of inter-atomic pairing. We describe
the main characteristics of the scattering resonances and make a comparison
with the results of BCS mean-field theory.


title:
Random walks in random Dirichlet environment are transient in dimension
  $d\ge 3$

abstract:
  We consider random walks in random Dirichlet environment (RWDE) which is a
special type of random walks in random environment where the exit probabilities
at each site are i.i.d. Dirichlet random variables. On $\Z^d$, RWDE are
parameterized by a $2d$-uplet of positive reals. We prove that for all values
of the parameters, RWDE are transient in dimension $d\ge 3$. We also prove that
the Green function has some finite moments and we characterize the finite
moments. Our result is more general and applies for example to finitely
generated symmetric transient Cayley graphs. In terms of reinforced random
walks it implies that directed edge reinforced random walks are transient for
$d\ge 3$.


title: Forgetful maps between Deligne-Mostow ball quotients

abstract:
  We study forgetful maps between Deligne-Mostow moduli spaces of weighted
points on P^1, and classify the forgetful maps that extend to a map of
orbifolds between the stable completions. The cases where this happens include
the Livn\'e fibrations and the Mostow/Toledo maps between complex hyperbolic
surfaces. They also include a retraction of a 3-dimensional ball quotient onto
one of its 1-dimensional totally geodesic complex submanifolds.


title:
Diophantine properties for q-analogues of Dirichlet's beta function at
  positive integers

abstract:
  small In this paper, we define $q$-analogues of Dirichlet's beta function at
positive integers, which can be written as
$\beta_q(s)=\sum_{k\geq1}\sum_{d|k}\chi(k/d)d^{s-1}q^k$ for $s\in\N^*$, where
$q$ is a complex number such that $|q|<1$ and $\chi$ is the non trivial
Dirichlet character modulo 4. For odd $s$, these expressions are connected with
the automorphic world, in particular with Eisenstein series of level 4.
  From this, we derive through Nesterenko's work the transcendance of the
numbers $\beta_q(2s+1)$ for $q$ algebraic such that $0<|q|<1$. Our main result
concerns the nature of the numbers $\beta_q(2s)$: we give a lower bound for the
dimension of the vector space over $\Q$ spanned by
$1,\beta_q(2),\beta_q(4),...,\beta_q(A)$, where $1/q\in\Z\setminus\{-1;1\}$ and
$A$ is an even integer. As consequences, for $1/q\in\Z\setminus\{-1;1\}$, on
the one hand there is an infinity of irrational numbers among
$\beta_q(2),\beta_q(4),...$, and on the other hand at least one of the numbers
$\beta_q(2),\beta_q(4),..., \beta_q(20)$ is irrational.


title:
Uniform distribution of Galois conjugates and beta-conjugates of a Parry
  number near the unit circle and dichotomy of Perron numbers

abstract:
  Concentration and equi-distribution, near the unit circle, in Solomyak's set,
of the union of the Galois conjugates and the beta-conjugates of a Parry number
$\beta$ are characterized by means of the Erd\H{o}s-Tur\'an approach, and its
improvements by Mignotte and Amoroso, applied to the analytical function
$f_{\beta}(z) = -1 + \sum_{i \geq 1} t_i z^i$ associated with the R\'enyi
$\beta$-expansion $d_{\beta}(1)= 0.t_1 t_2 ...$ of unity. Mignotte's
discrepancy function requires the knowledge of the factorization of the Parry
polynomial of $\beta$. This one is investigated using theorems of Cassels,
Dobrowolski, Pinner and Vaaler, Smyth, Schinzel in terms of cyclotomic,
reciprocal non-cyclotomic and non-reciprocal factors. An upper bound of
Mignotte's discrepancy function which arises from the beta-conjugates of
$\beta$ which are roots of cyclotomic factors is linked to the Riemann
hypothesis, following Amoroso. An equidistribution limit theorem, following
Bilu's theorem, is formulated for the concentration phenomenon of conjugates of
Parry numbers near the unit circle. Parry numbers are Perron numbers. Open
problems on non-Parry Perron numbers are mentioned in the context of the
existence of non-unique factorizations of elements of number fields into
irreducible Perron numbers (Lind).


title: Dark Matter in Gas-Rich Dwarf Galaxies

abstract:
  We investigate the distribution of dark matter (DM) in gas-rich, low-mass
galaxies, confronting them with numerical cosmological simulations with cold
dark matter (LCDM). We show that the derived rotation curves comply best with
cored DM density profiles, whereas the signatures of the central cusps
invariably predicted by LCDM simulations are not seen.


title: Extension of sections via adjoint ideals

abstract:
  The paper contains theorems on extending sections of line bundles from
divisors to the ambient space, inspired by various results of Siu, Kawamata,
and especially Hacon-McKernan and Takayama. Applications are given to
basepoint-freeness, to the invariance of analogues of plurigenera and of part
of the boundary of the pseudo-effective cone in families, and to a simplified
approach towards part of the results used for proving the existence of flips by
Hacon-McKernan.


title: A strong optical flare before the rising afterglow of GRB 080129

abstract:
  We report on GROND observations of a 40 sec duration (rest-frame) optical
flare from GRB 080129 at redshift 4.349. The rise- and decay time follow a
power law with indices +12 and -8, respectively, inconsistent with a reverse
shock and a factor 10$^5$ faster than variability caused by ISM interaction.
While optical flares have been seen in the past (e.g. GRB 990123, 041219B,
060111B and 080319B), for the first time, our observations not only resolve the
optical flare into sub-components, but also provide a spectral energy
distribution from the optical to the near-infrared once every minute. The delay
of the flare relative to the GRB, its spectral energy distribution as well as
the ratio of pulse widths suggest it to arise from residual collisions in GRB
outflows \cite{liw08}.If this interpretation is correct and can be supported by
more detailed modelling or observation in further GRBs, the delay measurement
provides an independent, determination of the Lorentz factor of the outflow.


title:
Matter density perturbations in modified gravity models with arbitrary
  coupling between matter and geometry

abstract:
  We consider theories with an arbitrary coupling between matter and gravity
and obtain the perturbation equation of matter on subhorizon scales. Also, we
derive the effective gravitational constant $G_{eff}$ and two parameters
$\Sigma$ and $\eta$, which along with the perturbation equation of the matter
density are useful to constrain the theory from growth factor and weak lensing
observations. Finally, we use a completely solvable toy model which exhibits
nontrivial phenomenology to investigate specific features of the theory. We
obtain the analytic solution of the modified Friedmann equation for the scale
factor $a$ in terms of time $t$ and use the age of the oldest star clusters and
the primordial nucleosynthesis bounds in order to constrain the parameters of
our toy model.


title: Turbulence in nonabelian gauge theory

abstract:
  Kolmogorov wave turbulence plays an important role for the thermalization
process following plasma instabilities in nonabelian gauge theories. We show
that classical-statistical simulations in SU(2) gauge theory indicate a
Kolmogorov scaling exponent known from scalar models. In the range of validity
of resummed perturbation theory this result is shown to agree with analytical
estimates. We study the effect of classical-statistical versus quantum
corrections and demonstrate that the latter lead to the absence of turbulence
in the far ultraviolet.


title: On Tits' Centre Conjecture for Fixed Point Subcomplexes

abstract:
  We give a short and uniform proof of a special case of Tits' Centre
Conjecture using a theorem of J-P. Serre and a result from our earlier work. We
consider fixed point subcomplexes $X^H$ of the building $X = X(G)$ of a
connected reductive algebraic group $G$, where $H$ is a subgroup of $G$.


title: The ubiquity of the symplectic hamiltonian equations in mechanics

abstract:
  In this paper, we derive a "hamiltonian formalism" for a wide class of
mechanical systems, including classical hamiltonian systems, nonholonomic
systems, some classes of servomechanism... This construction strongly relies in
the geometry characterizing the different systems. In particular, we obtain
that the class of the so-called algebroids covers a great variety of mechanical
systems. Finally, as the main result, a hamiltonian symplectic realization of
systems defined on algebroids is obtained.


title:
A Simple, Approximate Method for Analysis of Kerr-Newman Black Hole
  Dynamics and Thermodynamics

abstract:
  In this work we present a simple, approximate method for analysis of the
basic dynamical and thermodynamical characteristics of Kerr-Newman black hole.
Instead of the complete dynamics of the black hole self-interaction we consider
only such stable (stationary) dynamical situations determined by condition that
black hole (outer) horizon circumference holds the integer number of the
reduced Compton wave lengths corresponding to mass spectrum of a small quantum
system (representing quant of the black hole self-interaction). Then, we show
that Kerr-Newman black hole entropy represents simply the quotient of the sum
of static part and rotation part of mass of black hole on the one hand and
ground mass of small quantum system on the other hand. Also we show that
Kerr-Newman black hole temperature represents the negative value of the
classical potential energy of gravitational interaction between a part of black
hole with reduced mass and small quantum system in the ground mass quantum
state. Finally, we suggest a bosonic great canonical distribution of the
statistical ensemble of given small quantum systems in the thermodynamical
equilibrium with (macroscopic) black hole as thermal reservoir. We suggest
that, practically, only ground mass quantum state is significantly degenerate
while all other, excited mass quantum states are non-degenerate. Kerr-Newman
black hole entropy is practically equivalent to the ground mass quantum state
degeneration. Given statistical distribution admits a rough (qualitative) but
simple modeling of Hawking radiation of the black hole too.


title:
Generalized Laplace Method for Simple Determination of Kerr-Newman Black
  Hole Horizon Radius

abstract:
  In this work we present a generalized Laplace method for a formal, simple,
quasi-classical, determination of the outer and inner horizon radius of
Kerr-Newman black hole. We consider classical gravitational interaction between
a thin, with homogeneously distributed mass and electric charge, spherical
(black) shell and a probe particle. Also, we use relativistic equivalence
principle. Finally we suppose that probe particle propagates radially to shell
with speed of light while tangentially it rotates in common with shell, so that
total energy of a probe particle equals zero.


title: Dispersion forces and duality

abstract:
  We formulate a symmetry principle on the basis of the duality of electric and
magnetic fields and apply it to dispersion forces. Within the context of
macroscopic quantum electrodynamics, we rigorously establish duality invariance
for the free electromagnetic field in the presence of causal magnetoelectrics.
Dispersion forces are given in terms of the Green tensor for the
electromagnetic field and the atomic response functions. After discussing the
behavior of the Green tensor under a duality transformation, we are able to
show that Casimir forces on bodies in free space as well as local-field
corrected Casimir-Polder and van der Waals forces are duality invariant.


title: The Evolution of Bar Pattern Speed with Time and Bulge Prominence

abstract:
  Results from the modelling of bars in nearly 300 galaxies are used to test
predictions from theoretical work on the evolution of bars. Correlations are
found between bar ellipticity and boxiness, between bar strength and normalised
size, between the normalised sizes of bars and bulges, and between normalised
bar size and bulge-to-total ratio. Bars with different ellipticities follow
parallel lines in the latter two correlations. These correlations suggest that,
formed with different sizes and ellipticities, bars slow down and grow longer
and stronger, in agreement with theoretical work. As a consequence, bar pattern
speeds should become lower with time, and towards galaxies with more prominent
bulges.


title: Infrared exponents and the strong-coupling limit in lattice Landau gauge

abstract:
  We study the gluon and ghost propagators of lattice Landau gauge in the
strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find
evidence of the conformal infrared behavior of these propagators as predicted
by a variety of functional continuum methods for asymptotically small momenta
$q^2 \ll \Lambda_\mathrm{QCD}^2$. In the strong-coupling limit, this same
behavior is obtained for the larger values of a^2q^2 (in units of the lattice
spacing a), where it is otherwise swamped by the gauge field dynamics.
Deviations for a^2q^2 < 1 are well parameterized by a transverse gluon mass
$\propto 1/a$. Perhaps unexpectedly, these deviations are thus no finite-volume
effect but persist in the infinite-volume limit. They furthermore depend on the
definition of gauge fields on the lattice, while the asymptotic conformal
behavior does not. We also comment on a misinterpretation of our results by
Cucchieri and Mendes in Phys. Rev. D81 (2010) 016005.


title: NLO BFKL in gamma* gamma* collisions

abstract:
  We study in the BFKL approach the total hadronic cross section for the
collision of two virtual photons for energies in the range of LEP2 and of
future linear colliders. The BFKL resummation is done at the next-to-leading
order in the BFKL Green's function; photon impact factors are taken instead at
the leading order, but with the inclusion of the subleading terms required by
invariance under changes of the renormalization scale and of the BFKL scale
$s_0$. We compare our results with previous estimations based on a similar kind
of approximation.


title: Model of crystal growth with simulated self-attraction

abstract:
  The (1+1)-dimensional kinetic model of crystal growth with simulated
self-attraction and random sequential or parallel dynamics is introduced and
studied via Monte-Carlo simulations. To imitate the attraction of absorbing
atoms the probability of deposition is chosen to depend on the number of the
nearest-neighbor atoms surrounding the deposited atom so it increases with this
number. As well the evaporation probabilities are chosed to roughly account for
this self-attraction. The model exhibits the interface depinning transition
with KPZ-type roughness behavior in the moving phase. The critical indices of
the correlation lengths are $\nu_\parallel = 0.82 \pm 0.03,{\rm{}}\nu_ \bot =
0.55 \pm 0.02$ and the critical index of the growth velocity is $1.08 \pm 0.03$
indicating the new universality class of the depinning transition. The critical
properties of the model do not depend on the type of dynamics implemented.


title: Measurement of the pn -> dK^+K^- total cross section close to threshold

abstract:
  Measurements of the pn -> p_spec dK^+K^- reaction, where p_spec is a
spectator proton, have been undertaken at the Cooler Synchrotron COSY-Juelich
by detecting a fast deuteron in coincidence with a K^+K^- pair in the ANKE
facility. Although the proton beam energy was fixed, the moving target neutron
allowed values of the non-resonant quasi-free pn -> dK^+K^- total cross section
to be deduced up to an excess energy epsilon ~ 100 MeV. Evidence is found for
the effects of K^-d and KKbar final state interactions. The comparison of these
data with those of pp -> ppK^+K^- and pp -> dK^+Kbar shows that all the total
cross sections are very similar in magnitude.


title:
The Eilenberg-Moore category and a Beck-type theorem for a Morita
  context

abstract:
  The Eilenberg-Moore constructions and a Beck-type theorem for pairs of monads
are described. More specifically, a notion of a {\em Morita context} comprising
of two monads, two bialgebra functors and two connecting maps is introduced. It
is shown that in many cases equivalences between categories of algebras are
induced by such Morita contexts. The Eilenberg-Moore category of
representations of a Morita context is constructed. This construction allows
one to associate two pairs of adjoint functors with right adjoint functors
having a common domain or a {\em double adjunction} to a Morita context. It is
shown that, conversely, every Morita context arises from a double adjunction.
The comparison functor between the domain of right adjoint functors in a double
adjunction and the Eilenberg-Moore category of the associated Morita context is
defined. The sufficient and necessary conditions for this comparison functor to
be an equivalence (or for the {\em moritability} of a pair of functors with a
common domain) are derived.


title: An Elementary Approach to a Model Problem of Lagerstrom

abstract:
  The equation studied is u"+((n-1)/r)u'+epsilon u u'+ku'^{2}=0, with boundary
conditions u(1)=0, u(infinity)=1. This model equation has been studied by many
authors since it was introduced in the 1950s by P. A. Lagerstrom. We use an
elementary approach to show that there is an infinite series solution which is
uniformly convergent on 1<=r<infinity. The first few terms are easily derived,
from which one quickly deduces the inner and outer asymptotic expansions, with
no matching procedure or a priori assumptions about the nature of the
expansion. We also give a short and elementary existence and uniqueness proof
which covers all epsilon > 0, k >= 0, and n >= 1.


title: Evolution of network structure by temporal learning

abstract:
  We study the effect of learning dynamics on network topology. A network of
discrete dynamical systems is considered for this purpose and the coupling
strengths are made to evolve according to a temporal learning rule that is
based on the paradigm of spike-time-dependent plasticity. This incorporates
necessary competition between different edges. The final network we obtain is
robust and has a broad degree distribution.


title: Nonequilibrium thermal Casimir-Polder forces

abstract:
  We study the nonequilibrium Casimir-Polder force on an atom prepared in an
incoherent superposition of internal energy-eigenstates, which is placed in a
magnetoelectric environment of nonuniform temperature. After solving the
coupled atom--field dynamics within the framework of macroscopic quantum
electrodynamics, we derive a general expression for the thermal Casimir-Polder
force.


title:
P Wave Meson Spectrum in a Relativistic Model with Instanton Induced
  Interaction

abstract:
  On the basis of the phenomenological relativistic harmonic models for quarks
we have obtained the masses of P wave mesons. The full Hamiltonian used in the
investigation has Lorentz scalar + vector confinement potential, along with one
gluon exchange potential (OGEP) and the instanton-induced quark-antiquark
interaction (III). A good agreement is obtained with the experimental masses.
The respective role of III and OGEP for the determination of the meson masses
is discussed.


title: Ext-symmetry over quantum complete intersections

abstract:
  We show that symmetry in the vanishing of cohomology holds for graded modules
over quantum complete intersections. Moreover, symmetry holds for all modules
if the algebra is symmetric.


title:
Theoretical and Experimental Evidences of Material Phase Causality.
  Dynamics-Statistical Interpretation of the Wave Function

abstract:
  The internal phase dynamics of a quantum system is revealed in details.
Theoretical and experimental evidences of existence of a causal relation of the
phase of the wave function with the dynamics of the quantum system are
presented sistematically for the first time. A new, dynamics-statistical
interpretation of the quantum mechanics is introduced. A particle-wave duality
picture incorporated in the wave function through its phase and amplitude is
considered.


title: Early evolution of newly born magnetars with a strong toroidal field

abstract:
  We present a state-of-the-art scenario for newly born magnetars as strong
sources of Gravitational Waves (GWs)in the early days after formation. We
address several aspects of the astrophysics of rapidly rotating,
ultramagnetized neutron stars (NSs), including early cooling before transition
to superfluidity, the effects of the magnetic field on the equilibrium shape of
NSs, the internal dynamical state of a fully degenerate, oblique rotator and
the strength of the electromagnetic torque on the newly born NS. We show that
our scenario is consistent with recent studies of SNRs surrounding AXPs and
SGRs in the Galaxy that constrain the electromagnetic energy input from the
central NS to be <= 10^51 erg. We further show that if this condition is met,
then the GW signal from such sources is potentially detectable with the
forthcoming generation of GW detectors up to Virgo cluster distances where an
event rate <= 1/yr can be estimated. Finally, we point out that the decay of an
internal magnetic field in the 10^16 G range couples strongly to the NS cooling
at very early stages, thus significantly slowing down both processes: the field
can remain this strong for at least 10^3 yrs, during which the core temperature
stays higher than several times 10^8 K.