title: The Origin and Control of the Sources of AMR in (Ga,Mn)As Devices

abstract:
  We present details of our experimental and theoretical study of the
components of the anisotropic magnetoresistance (AMR) in (Ga,Mn)As. We develop
experimental methods to yield directly the non-crystalline and crystalline AMR
components which are then independently analyzed. These methods are used to
explore the unusual phenomenology of the AMR in ultra thin (5nm) (Ga,Mn)As
layers and to demonstrate how the components of the AMR can be engineered
through lithography induced local lattice relaxations. We expand on our
previous [Phys. Rev. Lett. \textbf{99}, 147207 (2007)] theoretical analysis and
numerical calculations to present a simplified analytical model for the origin
of the non-crystalline AMR. We find that the sign of the non-crystalline AMR is
determined by the form of spin-orbit coupling in the host band and by the
relative strengths of the non-magnetic and magnetic contributions to the
impurity potential.


title: Minima in branching random walks

abstract:
  Given a branching random walk, let $M_n$ be the minimum position of any
member of the $n$th generation. We calculate $\mathbf{E}M_n$ to within O(1) and
prove exponential tail bounds for $\mathbf{P}\{|M_n-\mathbf{E}M_n|>x\}$, under
quite general conditions on the branching random walk. In particular, together
with work by Bramson [Z. Wahrsch. Verw. Gebiete 45 (1978) 89--108], our results
fully characterize the possible behavior of $\mathbf {E}M_n$ when the branching
random walk has bounded branching and step size.


title: From virtual work principle to maximum entropy for nonequilibrium system

abstract:
  After the justification of the maximum entropy approach for equilibrium
thermodynamic system, and of a maximum path entropy algorithm for
nonequilibrium thermodynamic systems by virtue of the principle of virtual
work, we present in this paper another application of the principle to
thermodynamic systems out of equilibrium. Unlike the justification of maximum
path entropy for the motion trajectories during a period of time, this work is
on the maximum of the entropy defined as a measure of the momentary dynamical
uncertainty as a function of the probability distribution over the microstates
of the system at any given moment.


title: Broadband microwave burst produced by electron beams

abstract:
  Theoretical and experimental study of fast electron beams attracts a lot of
attention in the astrophysics and laboratory. In the case of solar flares the
problem of reliable beam detection and diagnostics is of exceptional
importance. This paper explores the fact that the electron beams moving oblique
to the magnetic field or along the field with some angular scatter around the
beam propagation direction can generate microwave continuum bursts via
gyrosynchrotron mechanism. The characteristics of the microwave bursts produced
by beams differ from those in case of isotropic or loss-cone distributions,
which suggests a new tool for quantitative diagnostics of the beams in the
solar corona. To demonstrate the potentiality of this tool, we analyze here a
radio burst occurred during an impulsive flare 1B/M6.7 on 10 March 2001 (AR
9368, N27W42). Based on detailed analysis of the spectral, temporal, and
spatial relationships, we obtained firm evidence that the microwave continuum
burst is produced by electron beams. For the first time we developed and
applied a new forward fitting algorithm based on exact gyrosynchrotron formulae
and employing both the total power and polarization measurements to solve the
inverse problem of the beam diagnostics. We found that the burst is generated
by a oblique beam in a region of reasonably strong magnetic field ($\sim
200-300$ G) and the burst is observed at a quasi-transverse viewing angle. We
found that the life time of the emitting electrons in the radio source is
relatively short, $\tau_l \approx 0.5$ s, consistent with a single reflection
of the electrons from a magnetic mirror at the foot point with the stronger
magnetic field. We discuss the implications of these findings for the electron
acceleration in flares and for beam diagnostics.


title: Interval Edge Colourings of Complete Graphs and n-cubes

abstract:
  For complete graphs and n-cubes bounds are found for the possible number of
colours in an interval edge colourings.


title:
Nonadditive quantum error correcting codes adapted to the ampltitude
  damping channel

abstract:
  A family of high rate quantum error correcting codes adapted to the amplitude
damping channel is presented. These codes are nonadditive and exploit
self-complementarity structure to correct all first-order errors. Their rates
can be higher than 1/2. The recovery operations of these codes can be generated
by a simple algorithm and have a projection nature, which makes them
potentially easy to implement.


title:
Maximum-Likelihood Priority-First Search Decodable Codes for Combined
  Channel Estimation and Error Protection

abstract:
  The code that combines channel estimation and error protection has received
general attention recently, and has been considered a promising methodology to
compensate multi-path fading effect. It has been shown by simulations that such
code design can considerably improve the system performance over the
conventional design with separate channel estimation and error protection
modules under the same code rate. Nevertheless, the major obstacle that
prevents from the practice of the codes is that the existing codes are mostly
searched by computers, and hence exhibit no good structure for efficient
decoding. Hence, the time-consuming exhaustive search becomes the only decoding
choice, and the decoding complexity increases dramatically with the codeword
length. In this paper, by optimizing the signal-tonoise ratio, we found a
systematic construction for the codes for combined channel estimation and error
protection, and confirmed its equivalence in performance to the
computer-searched codes by simulations. Moreover, the structural codes that we
construct by rules can now be maximum-likelihoodly decodable in terms of a
newly derived recursive metric for use of the priority-first search decoding
algorithm. Thus,the decoding complexity reduces significantly when compared
with that of the exhaustive decoder. The extension code design for fast-fading
channels is also presented. Simulations conclude that our constructed extension
code is robust in performance even if the coherent period is shorter than the
codeword length.


title: Current Issues in Asteroseismology

abstract:
  In this contribution we briefly review some of the current issues and
promises for the future by asteroseismology. We are entering a new phase in
this field driven by the wealth of data that has been collected and data that
will soon be available for asteroseismology across the HR Diagram. Major
difficulties in the descriptions of stellar interiors that arose in the second
half of the 20th century may now be in part addressed and solved (this is the
expectation!) by asteroseismology with unprecedented precision. In this
contribution we list some of the key open questions in stellar physics, the
seismic data we expect to collect in the near future, and some techniques that
will provide the tools to connect data and models.


title: Local Lipschitz geometry of weighted homogeneous surfaces

abstract:
  We compute Hoelder Complexes,i.e. the complete bi-Lipschitz invariants, for
germs of real weighed homogeneous algebraic or semialgebraic surfaces.


title: Twisting quasi-alternating links

abstract:
  Quasi-alternating links are homologically thin for both Khovanov homology and
knot Floer homology. We show that every quasi-alternating link gives rise to an
infinite family of quasi-alternating links obtained by replacing a crossing
with an alternating rational tangle. Consequently, we show that many pretzel
links are quasi-alternating, and we determine the thickness of Khovanov
homology for "most" pretzel links with arbitrarily many strands.


title:
A Typical Model Audit Approach: Spreadsheet Audit Methodologies in the
  City of London

abstract:
  Spreadsheet audit and review procedures are an essential part of almost all
City of London financial transactions. Structured processes are used to
discover errors in large financial spreadsheets underpinning major transactions
of all types. Serious errors are routinely found and are fed back to model
development teams generally under conditions of extreme time urgency. Corrected
models form the essence of the completed transaction and firms undertaking
model audit and review expose themselves to significant financial liability in
the event of any remaining significant error. It is noteworthy that in the
United Kingdom, the management of spreadsheet error is almost unheard of
outside of the City of London despite the commercial ubiquity of the
spreadsheet.


title:
Strongly consistent nonparametric forecasting and regression for
  stationary ergodic sequences

abstract:
  Let $\{(X_i,Y_i)\}$ be a stationary ergodic time series with $(X,Y)$ values
in the product space $\R^d\bigotimes \R .$ This study offers what is believed
to be the first strongly consistent (with respect to pointwise, least-squares,
and uniform distance) algorithm for inferring $m(x)=E[Y_0|X_0=x]$ under the
presumption that $m(x)$ is uniformly Lipschitz continuous. Auto-regression, or
forecasting, is an important special case, and as such our work extends the
literature of nonparametric, nonlinear forecasting by circumventing customary
mixing assumptions. The work is motivated by a time series model in stochastic
finance and by perspectives of its contribution to the issues of universal time
series estimation.


title: Quantum cosmology with varying speed of light: canonical approach

abstract:
  We investigate $(n+1)$--dimensional cosmology with varying speed of light.
After solving corresponding Wheeler-DeWitt equation, we obtain exact solutions
in both classical and quantum levels for ($c $--$\Lambda$)--dominated Universe.
We then construct the ``canonical'' wave packets which exhibit a good classical
and quantum correspondence. We show that arbitrary but appropriate initial
conditions lead to the same classical description. We also study the situation
from de-Broglie Bohm interpretation of quantum mechanics and show that the
corresponding Bohmian trajectories are in good agreement with the classical
counterparts.


title: Stop That Subversive Spreadsheet!

abstract:
  This paper documents the formation of the European Spreadsheet Risks Interest
Group (EuSpRIG www.eusprig.org) and outlines some of the research undertaken
and reported upon by interested parties in EuSpRIG publications


title: Distinguishing Short Quantum Computations

abstract:
  Distinguishing logarithmic depth quantum circuits on mixed states is shown to
be complete for QIP, the class of problems having quantum interactive proof
systems. Circuits in this model can represent arbitrary quantum processes, and
thus this result has implications for the verification of implementations of
quantum algorithms. The distinguishability problem is also complete for QIP on
constant depth circuits containing the unbounded fan-out gate. These results
are shown by reducing a QIP-complete problem to a logarithmic depth version of
itself using a parallelization technique.


title:
Emergence of $h/e$-period oscillations in the critical temperature of
  small superconducting rings threaded by magnetic flux

abstract:
  As a function of the magnetic flux threading the object, the Little-Parks
oscillation in the critical temperature of a large-radius, thin-walled
superconducting ring or hollow cylinder has a period given by $h/2e$, due to
the binding of electrons into Cooper pairs. On the other hand, the
single-electron Aharonov-Bohm oscillation in the resistance or persistent
current for a clean (i.e. ballistic) normal-state system having the same
topological structure has a period given by $h/e$. A basic question is whether
the Little-Parks oscillation changes its character, as the radius of the
superconducting structure becomes smaller, and even comparable to the
zero-temperature coherence length. We supplement the argument that the $h/e$
oscillations should also be exhibited via a microscopic analysis of this
regime, formulated in terms of the Gor'kov approach of BCS theory. We see that
as the radius of the ring becomes smaller, an oscillation of critical
temperature in the period of $h/e$ emerges in addition to the usual
Little-Parks dependence. We argue that in the clean limit there is a
superconductor-normal transition, at nonzero flux, as the ring radius becomes
sufficiently small, and that the transition can be either continuous or
discontinuous, depending on the radius and the external flux. In the dirty
limit, we argue that the transition is rendered continuous, which results in
continuous quantum phase transitions tuned by flux and radius.


title: A_2-web immanants

abstract:
  We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's
A_2-webs. We define consistent labelings of webs, and use them to describe the
coefficients of decompositions into irreducible webs. We introduce web
immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We
show that web immanants are positive when evaluated on totally positive
matrices, and describe some further properties.


title:
Linking optical and infrared observations with gravitational wave
  sources through variability

abstract:
  Optical and infrared observations have thus far detected more celestial
cataclysms than have been seen in gravity waves (GW). This argues that we
should search for gravity wave signatures that correspond to flux variability
seen at optical wavelengths, at precisely known positions. There is an unknown
time delay between the optical and gravitational transient, but knowing the
source location precisely specifies the corresponding time delays across the
gravitational antenna network as a function of the GW-to-optical arrival time
difference. Optical searches should detect virtually all supernovae that are
plausible gravitational radiation sources. The transient optical signature
expected from merging compact objects is not as well understood, but there are
good reasons to expect detectable transient optical/IR emission from most of
these sources as well. The next generation of deep wide-field surveys (for
example PanSTARRS and LSST) will be sensitive to subtle optical variability,
but we need to fill the ``blind spots'' that exist in the Galactic plane, and
for optically bright transient sources. In particular, a Galactic plane
variability survey at 2 microns seems worthwhile. Science would benefit from
closer coordination between the various optical survey projects and the gravity
wave community.


title: Rate of relaxation for a mean-field zero-range process

abstract:
  We study the zero-range process on the complete graph. It is a Markov chain
model for a microcanonical ensemble. We prove that the process converges to a
fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs
distribution.


title: Integration of Superforms and Super-Thom Class

abstract:
  We address the basic problem of constructing the Thom class for a
supermanifold. Given a cohomological class of a supermanifold and the
restriction of the supermanifold to its bosonic submanifold, the Thom class
gives a prescription to define the integral over the bosonic submanifold in
terms of the integral over the entire supermanifold. In addition, we provide
some new interesting examples of supermanifolds obtained by extending a given
bosonic manifold, we discuss the construction of superforms of special type
(which transform as Berezinian under change of supercoordinates) and we define
the de Rham cohomology. We review the construction of the Thom class in the
conventional geometry and we discuss the extension to the supermanifolds. Then,
we compute explicitly the Thom class for the case of CP^{(1|2)} and, as
expected, the result is singular. We provide a regularization technique to
handle the fermionic Thom class in practical applications. We conclude with
some remarks about Calabi-Yau spaces and their embedding into super-CY.


title: New directions in Nielsen-Reidemeister theory

abstract:
  The purpose of this expository paper is to present new directions in the
classical Nielsen-Reidemeister fixed point theory. We describe twisted
Burnside-Frobenius theorem, groups with $R_\infty$ \emph{property} and a
connection between Nielsen fixed point theory and symplectic Floer homology.


title: Even perfect polynomials over $F_2$ with four prime factors

abstract:
  A perfect polynomial over the binary field $\F_2$ is a polynomial $A \in
\F_2[x]$ that equals the sum of all its divisors. If $\gcd(A,x^2-x) \neq 1$
then we call $A$ even. The list of all even perfect polynomials over $\F_2$
with at most 3 prime factors in known. The object of this paper is to give the
list of all even perfect polynomials over $\F_2$ with four prime factors. These
are all the known perfect polynomials with four prime factors over $\F_2$.


title:
Full Algebra of Generalized Functions and Non-Standard Asymptotic
  Analysis

abstract:
  We construct an algebra of generalized functions endowed with a canonical
embedding of the space of Schwartz distributions. We offer a solution to the
problem of multiplication of Schwartz distributions similar to but different
from Colombeau's solution. We show that the set of scalars of our algebra is an
algebraically closed field unlike its counterpart in Colombeau theory, which is
a ring with zero divisors. We prove a Hahn-Banach extension principle which
does not hold in Colombeau theory. We establish a connection between our theory
with non-standard analysis and thus answer, although indirectly, a question
raised by J.F. Colombeau. This article provides a bridge between Colombeau
theory of generalized functions and non-standard analysis.


title:
Thermal conductivity evidence for d_{x^2-y^2} pairing symmetry in the
  heavy-fermion CeIrIn5 superconductor

abstract:
  Quasi-two dimensional CeIrIn5 contains two distinct domes with different
heavy fermion superconducting states in its phase diagram. Here we pinned down
the superconducting gap structure of CeIrIn5 in the second dome, located away
from the antiferromagnetic quantum critical point, by the thermal transport
measurements in magnetic fields rotated relative to the crystal axes. Clear
fourfold oscillation was observed when the field is rotated within the
ab-plane, while no oscillation was observed within the bc-plane. In sharp
contrast to previous reports, our results are most consistent with d_{x^2-y^2}
symmetry, implying that two superconducting phases have the same gap symmetry
which appears to be mediated by antiferromagnetic spin fluctuations.


title: Some A Priori Torah Decryption Principles

abstract:
  The author proposes, a priori, a simple set of principles that can be
developed into a range of algorithms by which means the Torah might be decoded.
It is assumed that the Torah is some form of transposition cipher with the
unusual property that the plain text of the Torah may also be the cipher text
of one or more other documents written in Biblical Hebrew. The decryption
principles are based upon the use of Equidistant Letter Sequences (ELS) and the
notions of Message Length, Dimensionality, Euclidean Dimension, Topology, Read
Direction, Skip Distance and offset. The principles can be applied recursively
and define numerous large subsets of the 304,807! theoretically possible
permutations of the characters of the Torah.


title: Algorithmic Permutation of part of the Torah

abstract:
  A small part of the Torah is arranged into a two dimensional array. The
characters are then permuted using a simple recursive deterministic algorithm.
The various permutations are then passed through three stochastic filters and
one deterministic filter to identify the permutations which most closely
approximate readable Biblical Hebrew. Of the 15 Billion sequences available at
the second level of recursion, 800 pass the a priori thresholds set for each
filter. The resulting "Biblical Hebrew" text is available for inspection and
the generation of further material continues.


title:
Revised value of the eighth-order QED contribution to the anomalous
  magnetic moment of the electron

abstract:
  We have carried out a new evaluation of the eighth-order contribution to the
electron g-2 using FORTRAN codes generated by an automatic code generator
gencodeN. Comparison of the "new" result with the "old" one has revealed an
inconsistency in the treatment of the infrared divergences in the latter. With
this error corrected we now have two independent determinations of the
eighth-order term. This leads to the revised value 1 159 652 182.79 (7.71) x
10^{-12} of the electron g-2, where the uncertainty comes mostly from that of
the best non-QED value of the fine structure constant alpha. The new value of
alpha derived from the revised theory and the latest experiment is alpha^{-1} =
137.035 999 084 (51) [0.37 ppb], which is about 4.7 ppb smaller than the
previous alpha^{-1}.


title:
Decoherence and dissipation of a quantum harmonic oscillator coupled to
  two-level systems

abstract:
  We derive and analyze the Born-Markov master equation for a quantum harmonic
oscillator interacting with a bath of independent two-level systems. This
hitherto virtually unexplored model plays a fundamental role as one of the four
"canonical" system-environment models for decoherence and dissipation. To
investigate the influence of further couplings of the environmental spins to a
dissipative bath, we also derive the master equation for a harmonic oscillator
interacting with a single spin coupled to a bosonic bath. Our models are
experimentally motivated by quantum-electromechanical systems and micron-scale
ion traps. Decoherence and dissipation rates are found to exhibit temperature
dependencies significantly different from those in quantum Brownian motion. In
particular, the systematic dissipation rate for the central oscillator
decreases with increasing temperature and goes to zero at zero temperature, but
there also exists a temperature-independent momentum-diffusion (heating) rate.


title: The Minimal Type-I Seesaw Model and Flavor-dependent Leptogenesis

abstract:
  In this talk, we first give a brief review of the so-called minimal seesaw
models and then concentrate on the minimal type-I seesaw model with two almost
degenerate right-handed Majorana neutrinos of ${\cal O}(1 {\rm TeV})$. A
specific texture of the neutrino Yukawa coupling matrix is proposed to achieve
the nearly tri-bimaximal neutrino mixing pattern. This ansatz predicts (1)
$\theta^{}_{23} = \pi/4$, $|\delta| = \pi/2$ and $\sin^2 \theta^{}_{12} = (1 -
2 \tan^2 \theta^{}_{13})/3$ in the $m^{}_1 = 0$ case; and (2) $\theta^{}_{23}
=\pi/4$ and $\theta^{}_{13} = \delta = 0$ in the $m^{}_3 = 0$ case. In both
cases, the cosmological baryon number asymmetry can be explained via the
resonant leptogenesis mechanism. Finally, we demonstrate the significance of
flavor-dependent effects in our leptogenesis scenario.


title: The Minimal Type-II Seesaw Model and Flavor-dependent Leptogenesis

abstract:
  Current experimental data allow the zero value for one neutrino mass, either
m_1 =0 or m_3 =0. This observation implies that a realistic neutrino mass
texture can be established by starting from the limit (a) m_1 = m_2 =0 and m_3
\neq 0 or (b) m_1 = m_2 \neq 0 and m_3 =0. In both cases, we may introduce a
particular perturbation which ensures the resultant neutrino mixing matrix to
be the tri-bimaximal mixing pattern or its viable variations. We find that it
is natural to incorporate this kind of neutrino mass matrix in the minimal
Type-II seesaw model with only one heavy right-handed Majorana neutrino N. We
show that it is possible to account for the cosmological baryon number
asymmetry in the m_3 =0 case via thermal leptogenesis, in which the
CP-violating asymmetry of N decays is attributed to the electron flavor.


title:
Generalized Friedberg-Lee model for neutrino masses and leptonic CP
  violation from mu-tau symmetry breaking

abstract:
  Assuming the Majorana nature of massive neutrinos, we generalize the
Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass
matrix M_\nu. The most general case with all the free parameters of M_\nu being
complex is discussed. We show that a favorable neutrino mixing pattern (with
\theta_12 \approx 35.3^\circ, \theta_23=45^\circ, \theta_13 \neq 0^\circ and
\delta=90^\circ) can naturally be derived from M_\nu, if it has an approximate
or softly-broken \mu-\tau symmetry. We also point out a different way to obtain
the nearly tri-bimaximal neutrino mixing pattern with \delta=0^\circ and
non-vanishing Majorana phases.


title: TeV-scale Type-II Seesaw Models and Possible Collider Signatures

abstract:
  A natural extension of the standard model to accommodate massive neutrinos is
to introduce one Higgs triplet and three right-handed Majorana neutrinos,
leading to a 6 \times6 neutrino mass matrix. We show that three light Majorana
neutrinos (i.e., the mass eigenstates of \nu_e, \nu_\mu and \nu_\tau) are
exactly massless, if and only if M_L = M_D M^{-1}_R M^T_D exactly holds in this
seesaw model. We propose three simple Type-II seesaw scenarios with broken A_4
\times U(1)_X flavor symmetry to interpret the observed neutrino mass spectrum
and neutrino mixing pattern. Such a TeV-scale neutrino model can be tested in
two complementary ways: (1) searching for possible collider signatures of
lepton number violation induced by the right-handed Majorana neutrinos and
doubly-charged Higgs particles; and (2) searching for possible consequences of
unitarity violation of the 3\times 3 neutrino mixing matrix in the future
long-baseline neutrino oscillation experiments.


title: Vector spaces with an order unit

abstract:
  We develop a theory of ordered *-vector spaces with an order unit. We prove
fundamental results concerning positive linear functionals and states, and we
show that the order (semi)norm on the space of self-adjoint elements admits
multiple extensions to an order (semi)norm on the entire space. We single out
three of these (semi)norms for further study and discuss their significance for
operator algebras and operator systems. In addition, we introduce a functorial
method for taking an ordered space with an order unit and forming an
Archimedean ordered space. We then use this process to describe an appropriate
notion of quotients in the category of Archimedean ordered spaces.


title: Characters of unipotent groups over finite fields

abstract:
  Let G be a connected unipotent group over a finite field F_q with q elements.
In this article we propose a definition of L-packets of complex irreducible
representations of the finite group G(F_q) and give an explicit description of
L-packets in terms of the so-called "admissible pairs" for G. We then apply our
results to show that if the centralizer of every geometric point of G is
connected, then the dimension of every complex irreducible representation of
G(F_q) is a power of q, confirming a conjecture of V. Drinfeld. This paper is
the first in a series of three papers exploring the relationship between
representations of a group of the form G(F_q) (where G is a unipotent algebraic
group over F_q), the geometry of G, and the theory of character sheaves.


title: SU(3) Deconfining Phase Transition in a Box with Cold Boundaries

abstract:
  Deconfined regions created in heavy ion collisions are bordered by the
confined phase. We discuss boundary conditions (BCs) to model a cold exterior.
Monte Carlo simulations of pure SU(3) lattice gauge theory with thus inspired
BCs show scaling. Corrections to usual results survive in the finite volume
continuum limit and we estimate them in a range from L=5-10 fermi as function
of the volume size $L^3$. In magnitude these corrections are comparable to
those obtained by including quarks.


title: New Quasi Exactly Solvable Difference Equation

abstract:
  Exact solvability of two typical examples of the discrete quantum mechanics,
i.e. the dynamics of the Meixner-Pollaczek and the continuous Hahn polynomials
with full parameters, is newly demonstrated both at the Schroedinger and
Heisenberg picture levels. A new quasi exactly solvable difference equation is
constructed by crossing these two dynamics, that is, the quadratic potential
function of the continuous Hahn polynomial is multiplied by the constant phase
factor of the Meixner-Pollaczek type. Its ordinary quantum mechanical
counterpart, if exists, does not seem to be known.


title: Realtime monitoring for the next generation of radiotelescopes

abstract:
  The forthcoming generation of radiotelescopes pose new and substantial
challenges in terms of system monitoring. Information regarding environmental
conditions, signal connectivity and level, processor utilisation, memory use,
network traffic and even power consumption needs to be collected, displayed in
realtime, and preserved in a permanent database. In this paper, we put forward
the Ganglia monitoring system as a scalable, robust and efficient architecture
that appears well-suited to the data collection aspect of radiotelescope
monitoring, and we discuss approaches to the visual display of the streaming
metric data produced by Ganglia. In particular, we present initial work in the
use of 3-dimensional (3-d) multiplayer game technology for instantaneous status
monitoring and enquiry, and we describe the extensions to this work required
for radiotelescope monitoring.


title: On Extremal k-Graphs Without Repeated Copies of 2-Intersecting Edges

abstract:
  The problem of determining extremal hypergraphs containing at most r
isomorphic copies of some element of a given hypergraph family was first
studied by Boros et al. in 2001. There are not many hypergraph families for
which exact results are known concerning the size of the corresponding extremal
hypergraphs, except for those equivalent to the classical Turan numbers. In
this paper, we determine the size of extremal k-uniform hypergraphs containing
at most one pair of 2-intersecting edges for k in {3,4}. We give a complete
solution when k=3 and an almost complete solution (with eleven exceptions) when
k=4.


title: A New Lower Bound for A(17,6,6)

abstract:
  We construct a record-breaking binary code of length 17, minimal distance 6,
constant weight 6, and containing 113 codewords.


title: Reply to arXiv:0711.4930[hep-th] by Ito and Seiler

abstract:
  In a recent note (arXiv:0711.4930[hep-th]) Ito and Seiler claim that there is
a 'missing link' in the derivation in arXiv:0707.2179[hep-th] by the present
author; namely, that no proof of a certain inequality used there is given at
weak coupling. Here it is pointed out that in fact no such missing link is
present. The argument in 0707.2179 is, among other things, specifically
constructed so that the inequality in question is invoked {\it only} at strong
coupling, where it is easily proven. Underlying the mangling of the argument in
0707.2179 by Ito and Seiler are their incorrect statements concerning the
dependence of the potential-moving decimation procedures used in 0707.2179 on
space-time dimensionality and other decimation parameters.


title: The Massive Star Content of NGC 3603

abstract:
  We investigate the massive star content of NGC 3603, the closest known giant
H II region. We have obtained spectra of 26 stars in the central cluster using
the Baade 6.5-m telescope (Magellan I). Of these 26 stars, 16 had no previous
spectroscopy. We also obtained photometry of all of the stars with previous or
new spectroscopy, primarily using archival HST ACS/HRC images. We use these
data to derive an improved distance to the cluster, and to construct an H-R
diagram for discussing the masses and ages of the massive star content of this
cluster.


title:
Determining the Dust Extinction of Gamma-ray Burst Host Galaxies: A
  Direct Method Based on Optical and X-ray Photometry

abstract:
  The dust extinction of gamma-ray bursts (GRBs) host galaxies, containing
important clues to the nature of GRB progenitors and crucial for dereddening,
is still poorly known. Here we propose a straightforward method to determine
the extinction of GRB host galaxies by comparing the observed optical spectra
to the intrinsic ones extrapolated from the X-ray spectra. The rationale for
this method is from the standard fireball model: if the optical flux decay
index equals to that of the X-ray flux, then there is no break frequency
between the optical and X-ray bands, therefore we can derive the intrinsic
optical flux from the X-ray spectra. We apply this method to three GRBs of
which the optical and X-ray fluxes have the same decay indices and another one
with inferred cooling break frequency, and obtain the rest-frame extinction
curves of their host galaxies. The derived extinction curves are gray and do
not resemble any extinction curves of local galaxies (e.g. the Milk Way, the
Small/Large Magellanic Clouds, or nearby starburst galaxies). The amount of
extinction is rather large (with visual extinction $A_V$ $\sim$
1.6--3.4$\magni$). We model the derived extinction curves in terms of the
silicate-graphite interstellar grain model. As expected from the ``gray''
nature of the derived extinction curve, the dust size distribution is skewed to
large grains. We determine, for the first time, the local dust-to-gas ratios of
GRB host galaxies using the model-derived dust parameters and the hydrogen
column densities determined from X-ray absorptions.


title: The Yang-Mills field strength revisited

abstract:
  The Yang-Mills field strength incorporating a non-Abelian feature is one of
the cornerstones of the standard model. Although Yang-Mills gauge theories have
been around for over fifty years, surprisingly the derivation of the Yang-Mills
field strength using classical gauge theory does not appear anywhere in the
literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian
field strength to satisfy certain criteria. In Section 5 we use Yang's gauge
transformation in a heuristic derivation of the Yang-Mills field strength. The
preceding sections cover material relating to the derivation. Section 3 shows
where Pauli in the article cited by Yang and Mills gives an expression for the
electro-magnetic field strength in terms of a commutator. For some reason, Yang
and Mills did not use this approach.


title: Sources of zodiacal dust

abstract:
  Fractions of asteroidal particles, particles originating beyond Jupiter's
orbit (including trans-Neptunian particles), and cometary particles originating
inside Jupiter's orbit among zodiacal dust are estimated to be about 1/3 each,
with a possible deviation from 1/3 up to 0.1-0.2. These estimates were based on
the comparison of our models of the zodiacal cloud that use results of
numerical integration of the orbital evolution of dust particles produced by
asteroids, comets, and trans-Neptunian objects with different observations
(e.g., WHAM [Wisconsin H-Alpha Mapper spectrometer] observations of spectra of
zodiacal light, the number density at different distances from the Sun). The
fraction of particles produced by Encke-type comets (with e~0.8-0.9) does not
exceed 0.15 of the overall population. The estimated fraction of particles
produced by long-period and Halley-type comets among zodiacal dust also does
not exceed 0.1-0.15. Though trans-Neptunian particles fit different
observations of dust inside Jupiter's orbit, they cannot be dominant in the
zodiacal cloud because studies of the distribution of number density with a
distance from the Sun shows that trans-Neptunian particles cannot be dominant
between orbits of Jupiter and Saturn. Mean eccentricities of zodiacal particles
that better fit the WHAM observations were about 0.2-0.5, with a more probable
value of about 0.3.


title:
Lattice QCD at finite temperature and density in the phase-quenched
  approximation

abstract:
  QCD at a finite quark-number chemical potential $\mu$ has a complex fermion
determinant, which precludes its study by standard lattice QCD simulations. We
therefore simulate lattice QCD at finite $\mu$ in the phase-quenched
approximation, replacing the fermion determinant with its magnitude. These
simulations are used to study the finite temperature transition for small
$\mu$,where the position and nature of this transition are expected to be
unchanged by this approximation. We look for the expected critical endpoint for
3-flavour QCD. Here, it had been argued that the critical point at zero $\mu$
would become the critical endpoint at small $\mu$, for quark masses just above
the critical mass. Our simulations indicate that this does not happen, and
there is no such critical endpoint for small $\mu$. We discuss how we might
adapt techniques used for imaginary $\mu$ to improve the signal/noise ratio and
strengthen our conclusions, using results from relatively low statistics
studies.


title:
Formation of the intermediate baryon systems in hadron-nuclear and
  nuclear-nuclear interactions

abstract:
  The centrality experiments indicate regime change and saturation in the
behavior of some characteristics of the secondary particles emitted in
hadron-nuclear and nuclear-nuclear interactions at high energies. The
phenomenon has a critical character. The simple models do not explain the
effect. We suppose that the responsible mechanism to explain the phenomenon
could be the formation and decay of the intermediate baryon systems. Such
systems could be formed as a result of nucleon percolation in compressed
baryonic matter. Formation of big percolation cluster may change the properties
of the medium, e.g., it could lead to the changing its transparency. This could
be used to get a signal of the intermediate baryonic system formation. We
consider two signals to identify the formation of the intermediate baryon
systems: the critical changing of transparency of the strongly interacting
matter and the enhancement of light nuclei production with increase in
centrality.


title: Generalized Complex and Dirac Structures on Homogeneous Spaces

abstract:
  We partially describe equivariant Dirac and generalized complex structures on
a homogeneous space $G/K$ by giving equivalent data involving only the Lie
algebra. We consider real semisimple adjoint orbits in any semisimple Lie
algebra over $\mathbb R$ and real nilpotent orbits in $sl_n (\mathbb R)$. We
give a complete classification for Riemannian symmetric spaces and for a
compact group modulo a closed, connected subgroup containing a Cartan subgroup.


title:
The Possible Textures in the Seesaw Realization of the Strong Scaling
  Ansatz and the Implications for Thermal Leptogenesis

abstract:
  We classify the textures of the Dirac and the right-handed Majorana neutrino
mass matrices, $M_D$ and $M_R$, which can satisfy the so-called ``Strong
Scaling Ansatz'' (SSA) within the framework of the seesaw mechanism
$M_{\nu}=-M_D^T M_R^{-1} M_D$. We assume that the Dirac neutrino mass matrix
has some texture zeros and examine which elements should be zero in order to
satisfy the SSA, by taking into account all possible textures for $M_R$. We
find that the resulting Dirac neutrino mass matrices have rank 2 as well as the
rank of the effective neutrino mass matrix $M_{\nu}$, or rank 1, depending only
on the textures of $M_R^{-1}$. We also consider the three cases of the breaking
of the SSA by introducing a complex breaking parameter in $M_{\nu}$ and show
that it can generate the CP violation in the lepton sector as well as non-zero
$m_3$ and $U_{e3}$. We furthermore discuss the implications of the thermal
leptogenesis for the both case which satisfies and breaks the SSA in the basis
where $M_R$ is diagonal.


title: Approximation Algorithms for the Highway Problem under the Coupon Model

abstract:
  When a store sells items to customers, the store wishes to determine the
prices of the items to maximize its profit. Intuitively, if the store sells the
items with low (resp. high) prices, the customers buy more (resp. less) items,
which provides less profit to the store. So it would be hard for the store to
decide the prices of items. Assume that the store has a set V of n items and
there is a set E of m customers who wish to buy those items, and also assume
that each item i \in V has the production cost d_i and each customer e_j \in E
has the valuation v_j on the bundle e_j \subseteq V of items. When the store
sells an item i \in V at the price r_i, the profit for the item i is
p_i=r_i-d_i. The goal of the store is to decide the price of each item to
maximize its total profit. In most of the previous works, the item pricing
problem was considered under the assumption that p_i \geq 0 for each i \in V,
however, Balcan, et al. [In Proc. of WINE, LNCS 4858, 2007] introduced the
notion of loss-leader, and showed that the seller can get more total profit in
the case that p_i < 0 is allowed than in the case that p_i < 0 is not allowed.
In this paper, we consider the line and the cycle highway problem, and show
approximation algorithms for the line and/or cycle highway problem for which
the smallest valuation is s and the largest valuation is \ell or all valuations
are identical.


title: Evolving XSLT stylesheets

abstract:
  This paper introduces a procedure based on genetic programming to evolve XSLT
programs (usually called stylesheets or logicsheets). XSLT is a general
purpose, document-oriented functional language, generally used to transform XML
documents (or, in general, solve any problem that can be coded as an XML
document). The proposed solution uses a tree representation for the stylesheets
as well as diverse specific operators in order to obtain, in the studied cases
and a reasonable time, a XSLT stylesheet that performs the transformation.
Several types of representation have been compared, resulting in different
performance and degree of success.


title: A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains

abstract:
  In this work we prove a Brunn-Minkowski-type inequality in the context of
symplectic geometry and discuss some of its applications.


title: Exponentiating $2\times2$ and $3\times3$ Matrices Done Right

abstract:
  We derive explicit formulas for calculating $e^A$, $\cosh{A}$, $\sinh{A},
\cos{A}$ and $\sin{A}$ for a given $2\times2$ matrix $A$. We also derive
explicit formulas for $e^A$ for a given $3\times3$ matrix $A$. These formulas
are expressed exclusively in terms of the characteristic roots of $A$ and
involve neither the eigenvectors of $A$, nor the transition matrix associated
with a particular canonical basis. We believe that our method has advantages
(especially if applied by non-mathematicians or students) over the more
conventional methods based on the choice of canonical bases. We support this
point with several examples for solving first order linear systems of ordinary
differential equations with constant coefficients.


title:
Dependence of resistivity on surface profile in nanoscale metal films
  and wires

abstract:
  We extend quantum models of nanowire surface scattering to incorporate bulk
resistivity and extract an expression for the increased resistivity due to
surface roughness. To learn how to improve conductivity, we calculate
conductivity degradation from individual wavelengths of surface roughness, and
show how these can be convolved to give resistivity for arbitrary surfaces. We
review measurements from Cu films and conclude that roughness at short
wavelengths (less than 100 nm) dominates scattering, and that primarily
specular scattering should be achievable for RMS roughness below about 0.7 nm.


title:
An Unsplit Godunov Method for Ideal MHD via Constrained Transport in
  Three Dimensions

abstract:
  We present a single step, second-order accurate Godunov scheme for ideal MHD
which is an extension of the method described by Gardiner & Stone (2005) to
three dimensions. This algorithm combines the corner transport upwind (CTU)
method of Colella for multidimensional integration, and the constrained
transport (CT) algorithm for preserving the divergence-free constraint on the
magnetic field. We describe the calculation of the PPM interface states for 3D
ideal MHD which must include multidimensional ``MHD source terms'' and
naturally respect the balance implicit in these terms by the ${\bf\nabla\cdot
B}=0$ condition. We compare two different forms for the CTU integration
algorithm which require either 6- or 12-solutions of the Riemann problem per
cell per time-step, and present a detailed description of the 6-solve
algorithm. Finally, we present solutions for test problems to demonstrate the
accuracy and robustness of the algorithm.


title:
Neutron scattering study on spin correlations and fluctuations in the
  transition-metal-based magnetic quasicrystal Zn-Fe-Sc

abstract:
  Spin correlations and fluctuations in the 3d-transition-metal-based
icosahedral quasicrystal Zn-Fe-Sc have been investigated by neutron scattering
using polycrystalline samples. Magnetic diffuse scattering has been observed in
the elastic experiment at low temperatures, indicating development of static
short-range-spin correlations. In addition, the inelastic scattering experiment
detects a $Q$-independent quasielastic signal ascribed to single-site
relaxational spin fluctuations. Above the macroscopic freezing temperature
$T_{\rm f} \simeq 7$ K, the spin relaxation rate shows Arrhenius-type behavior,
indicating thermally activated relaxation process. In contrast, the relaxation
rate remains finite even at the lowest temperature, suggesting a certain
quantum origin for the spin fluctuations below $T_{\rm f}$.


title: Two Categories of Dirac Manifolds

abstract:
  We define two categories of Dirac manifolds, i.e. manifolds with complex
Dirac structures. The first notion of maps I call \emph{Dirac maps}, and the
category of Dirac manifolds is seen to contain the categories of Poisson and
complex manifolds as full subcategories. The second notion, \emph{dual-Dirac
maps}, defines a \emph{dual-Dirac category} which contains presymplectic and
complex manifolds as full subcategories. The dual-Dirac maps are stable under
B-transformations. In particular we get two structures of a category on
Hitchin'sgeneralized complex manifolds, i.e., two reasonable notions of
generalized complex maps. We also generalize further to get categories of Dirac
manifolds for which the Dirac structures lie in arbitrary exact Courant
algebroids. As an example, we consider the case of a Lie group with a complex
Dirac structure and establish conditions for which multiplication is a Dirac
map.


title: On the Limit Law of a Random Walk Conditioned to Reach a High Level

abstract:
  We consider a random walk with a negative drift and with a jump distribution
which under Cram\'er's change of measure belongs to the domain of attraction of
a spectrally positive stable law. If conditioned to reach a high level and
suitably scaled, this random walk converges in law to a nondecreasing Markov
process which can be interpreted as a spectrally-positive L\'evy %-Khinchin
process conditioned not to overshoot level one.


title: Towards Persistence-Based Reconstruction in Euclidean Spaces

abstract:
  Manifold reconstruction has been extensively studied for the last decade or
so, especially in two and three dimensions. Recently, significant improvements
were made in higher dimensions, leading to new methods to reconstruct large
classes of compact subsets of Euclidean space $\R^d$. However, the complexities
of these methods scale up exponentially with d, which makes them impractical in
medium or high dimensions, even for handling low-dimensional submanifolds. In
this paper, we introduce a novel approach that stands in-between classical
reconstruction and topological estimation, and whose complexity scales up with
the intrinsic dimension of the data. Specifically, when the data points are
sufficiently densely sampled from a smooth $m$-submanifold of $\R^d$, our
method retrieves the homology of the submanifold in time at most $c(m)n^5$,
where $n$ is the size of the input and $c(m)$ is a constant depending solely on
$m$. It can also provably well handle a wide range of compact subsets of
$\R^d$, though with worse complexities. Along the way to proving the
correctness of our algorithm, we obtain new results on \v{C}ech, Rips, and
witness complex filtrations in Euclidean spaces.


title:
The H$\alpha$ Halo Distribution of 10 Nearby Planetary Nebulae based on
  the SHASSA Imaging Data

abstract:
  Here we present initial results of our search for extensive halos around the
planetary nebulae (PNe) in our Galaxy based on imaging data from the Southern
H-Alpha Sky Survey Atlas (SHASSA). A threshold surface brightness in H$\alpha$
emission was used to help identify the spatially extended features of the PNe.
We investigated a sample that included 10 PNe, the large majority of which were
found to be surrounded by extensive outer halos. The formation of these halos
might be closely related to the AGB phase mass loss and/or the interaction of
the stellar outflows with the interstellar medium. Most of these outer halos
are nearly spherical. Close investigation of some specific objects, such as He
2-111 and NGC 3242, indicate a kinematic age on the order of 10$^{5}$ yrs. The
mass loss history can be traced back to the late AGB phase of the evolution of
the progenitors. Two objects form the sample (He 2-111, NGC 3242), were found
to have outer halos with fragmented arcs that are apparently the result of
their interaction with the interstellar medium.


title: Optimal Memoryless Encoding for Low Power Off-Chip Data Buses

abstract:
  Off-chip buses account for a significant portion of the total system power
consumed in embedded systems. Bus encoding schemes have been proposed to
minimize power dissipation, but none has been demonstrated to be optimal with
respect to any measure. In this paper, we give the first provably optimal and
explicit (polynomial-time constructible) families of memoryless codes for
minimizing bit transitions in off-chip buses. Our results imply that having
access to a clock does not make a memoryless encoding scheme that minimizes bit
transitions more powerful.


title: Chern class formulas for $G_2$ Schubert loci

abstract:
  We define degeneracy loci for vector bundles with structure group $G_2$, and
give formulas for their cohomology (or Chow) classes in terms of the Chern
classes of the bundles involved. When the base is a point, such formulas are
part of the theory for rational homogeneous spaces developed by
Bernstein-Gelfand-Gelfand and Demazure. This has been extended to the setting
of general algebraic geometry by Giambelli-Thom-Porteous, Kempf-Laksov, and
Fulton in classical types; the present work carries out the analogous program
in type $G_2$. We include explicit descriptions of the $G_2$ flag variety and
its Schubert varieties, and several computations, including one that answers a
question of W. Graham.
  In appendices, we collect some facts from representation theory and compute
the Chow rings of quadric bundles, clarifying a previous computation of Edidin
and Graham.


title:
Three dimensional image correlation from X-Ray computed tomography of
  solid foam

abstract:
  A new methodology is proposed to estimate 3D displacement fields from pairs
of images obtained from X-Ray Computed Micro Tomography (XCMT). Contrary to
local approaches, a global approach is followed herein that evaluates {\em
continuous} displacement fields. Although any displacement basis could be
considered, the procedure is specialized to finite element shape functions. The
method is illustrated with the analysis of a compression test on a
polypropylene solid foam (independently studied in a companion paper). A good
stability of the measured displacement field is obtained for cubic element
sizes ranging from 16 voxels to 6 voxels.


title: Changing Levels of Description in a Fluid Flow Simulation

abstract:
  We describe here our perception of complex systems, of how we feel the
different layers of description are important part of a correct complex system
simulation. We describe a rough models categorization between rules based and
law based, of how these categories handled the levels of descriptions or
scales. We then describe our fluid flow simulation, which combines different
fineness of grain in a mixed approach of these categories. This simulation is
built keeping in mind an ulterior use inside a more general aquatic ecosystem.


title:
Automata-based Adaptive Behavior for Economical Modelling Using Game
  Theory

abstract:
  In this chapter, we deal with some specific domains of applications to game
theory. This is one of the major class of models in the new approaches of
modelling in the economic domain. For that, we use genetic automata which allow
to build adaptive strategies for the players. We explain how the automata-based
formalism proposed - matrix representation of automata with multiplicities -
allows to define semi-distance between the strategy behaviors. With that tools,
we are able to generate an automatic processus to compute emergent systems of
entities whose behaviors are represented by these genetic automata.


title: The Veronese Construction for Formal Power Series and Graded Algebras

abstract:
  Let $(a_n)_{n \geq 0}$ be a sequence of complex numbers such that its
generating series satisfies $\sum_{n \geq 0} a_nt^n = \frac{h(t)}{(1-t)^d}$ for
some polynomial $h(t)$. For any $r \geq 1$ we study the transformation of the
coefficient series of $h(t)$ to that of $h^{< r >}(t)$ where $\sum_{n \geq 0}
a_{nr} t^n = \frac{h^{< r >}(t)}{(1-t)^d}$. We give a precise description of
this transformation and show that under some natural mild hypotheses the roots
of $h^{< r >}(t)$ converge when $r$ goes to infinity. In particular, this holds
if $\sum_{n \geq 0} a_n t^n$ is the Hilbert series of a standard graded
$k$-algebra $A$. If in addition $A$ is Cohen-Macaulay then the coefficients of
$h^{< r >}(t)$ are monotonely increasing with $r$. If $A$ is the
Stanley-Reisner ring of a simplicial complex $\Delta$ then this relates to the
$r$th edgewise subdivision of $\Delta$ which in turn allows some corollaries on
the behavior of the respective $f$-vectors.


title: Triangle percolation in mean field random graphs -- with PDE

abstract:
  We apply a PDE-based method to deduce the critical time and the size of the
giant component of the ``triangle percolation'' on the Erd\H{o}s-R\'enyi random
graph process investigated by Palla, Der\'enyi and Vicsek


title:
Field-induced spin excitations in Rashba-Dresselhaus two-dimensional
  electron systems probed by surface acoustic waves

abstract:
  A spin-rotation symmetry in spin-orbit coupled two-dimensional electron
systems gives rise to a long-lived spin excitation that is robust against
short-range impurity scattering. The influence of a constant in-plane electric
field on this persistent spin helix is studied. To probe the field-induced
eigen-modes of the spin-charge coupled system, a surface acoustic wave is
exploited that provides the wave-vector for resonant excitation. The approach
takes advantage of methods worked out in the field of space-charge waves. Sharp
resonances in the field dependence of the in-plane and out-of-plane
magnetization are identified.


title:
Exact solutions of embedding the four-dimensional perfect fluid in a
  five- or higher-dimensional Einstein spacetime and the cosmological
  interpretations

abstract:
  We investigate an exact solution that describes the embedding of the
four-dimensional (4D) perfect fluid in a five-dimensional (5D) Einstein
spacetime. The effective metric of the 4D perfect fluid as a hypersurface with
induced matter is equivalent to the Robertson-Walker metric of cosmology. This
general solution shows interconnections among many 5D solutions, such as the
solution in the braneworld scenario and the topological black hole with
cosmological constant. If the 5D cosmological constant is positive, the metric
periodically depends on the extra dimension. Thus we can compactify the extra
dimension on $S^1$ and study the phenomenological issues. We also generalize
the metric ansatz to the higher-dimensional case, in which the 4D part of the
Einstein equations can be reduced to a linear equation.


title:
Effect of field quantization on Rabi oscillation of equidistant cascade
  four-level system

abstract:
  We have exactly solved a model of equidistant cascade four-level system
interacting with a single-mode radiation field both semiclassically and quantum
mechanically by exploiting its similarity with Jaynes-Cummings model. For the
classical field, it is shown that the Rabi oscillation of the system initially
in the first level (second level) is similar to that of the system when it is
initially in the fourth level (third level). We then proceed to solve the
quantized version of the model where the dressed state is constructed by using
a six parameter four-dimensional matrix and show that the symmetry exhibited in
the Rabi oscillation of the system for the semiclassical model is completely
destroyed on the quantization of the cavity field. Finally we have studied the
collapse and revival of the system for the cavity field-mode in a coherent
state to discuss the restoration of symmetry and its implication is discussed.


title: A TFD model for the Electrospheres of Bare Strange Quark Stars

abstract:
  We study the layer of electrons on bare strange star surfaces, taking the
Dirac exchange-energy into account. Because electrons are fermions, the
electron wave function must be of exchange-antisymmetry. The Dirac
exchange-energy originates, consequently, from the exchange-antisymmetry of
electron wave functions. This consideration may result in changing the electron
distribution and the electric field on the surface of bare strange star. The
strong magnetic field effect on the structures of the electrospheres is also
discussed.


title:
Direct demonstration of the completeness of the eigenstates of the
  Schrodinger equation with local and non-local potentials bearing a Coulomb
  tail

abstract:
  Demonstrating the completeness of wave functions solutions of the radial
Schrodinger equation is a very difficult task. Existing proofs, relying on
operator theory, are often very abstract and far from intuitive comprehension.
However, it is possible to obtain rigorous proofs amenable to physical insight,
if one restricts the considered class of Schrodinger potentials. One can
mention in particular unbounded potentials yielding a purely discrete spectrum
and short-range potentials. However, those possessing a Coulomb tail, very
important for physical applications, have remained problematic due to their
long-range character. The method proposed in this paper allows to treat them
correctly, provided the non-Coulomb part of potentials vanishes after a finite
radius. Non-locality of potentials can also be handled. The main idea in the
proposed demonstration is that regular solutions behave like sine/cosine
functions for large momenta, so that their expansions verify Fourier transform
properties. The highly singular point at k = 0 of long-range potentials is
dealt with properly using analytical properties of Coulomb wave functions.
Lebesgue measure theory is avoided, rendering the demonstration clear from a
physical point of view.


title:
Global wellposed problem for the 3-D incompressible anisotropic
  Navier-Stokes equations

abstract:
  In this paper, we consider a global wellposed problem for the 3-D
incompressible anisotropic Navier-Stokes equations (\textit{ANS}). In order to
do so, we first introduce the scaling invariant Besov-Sobolev type spaces,
$B^{-1+\frac{2}{p},{1/2}}_{p}$ and $B^{-1+\frac{2}{p},{1/2}}_{p}(T)$, $p\geq2$.
Then, we prove the global wellposedness for (\textit{ANS}) provided the initial
data are sufficient small compared to the horizontal viscosity in some suitable
sense, which is stronger than $B^{-1+\frac{2}{p},{1/2}}_{p}$ norm. In
particular, our results imply the global wellposedness of (\textit{ANS}) with
high oscillatory initial data.


title: On space-time noncommutative U(1) model at high temperature

abstract:
  We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge
theories at finite temperature. In particular, by making use of the background
field method, we analyze renormalization issues and the high-temperature
asymptotics of the one-loop Euclidean free energy of the noncommutative U(1)
gauge model within imaginary time formalism. As a by-product, the heat trace of
the non-minimal photon kinetic operator on noncommutative $S^1 \times R^3$
manifold taken in an arbitrary background gauge is investigated. All possible
types of noncommutativity on $S^1 \times R^3$ are considered. It is
demonstrated that the non-planar sector of the model does not contribute to the
free energy of the system at high temperature. The obtained results are
discussed.


title: Extinction risk and structure of a food web model

abstract:
  We investigate in detail the model of a trophic web proposed by Amaral and
Meyer [Phys. Rev. Lett. 82, 652 (1999)]. We focused on small-size systems that
are relevant for real biological food webs and for which the fluctuations are
playing an important role. We show, using Monte Carlo simulations, that such
webs can be non-viable, leading to extinction of all species in small and/or
weakly coupled systems. Estimations of the extinction times and survival
chances are also given. We show that before the extinction the fraction of
highly-connected species ("omnivores") is increasing. Viable food webs exhibit
a pyramidal structure, where the density of occupied niches is higher at lower
trophic levels, and moreover the occupations of adjacent levels are closely
correlated. We also demonstrate that the distribution of the lengths of food
chains has an exponential character and changes weakly with the parameters of
the model. On the contrary, the distribution of avalanche sizes of the extinct
species depends strongly on the connectedness of the web. For rather loosely
connected systems we recover the power-law type of behavior with the same
exponent as found in earlier studies, while for densely-connected webs the
distribution is not of a power-law type.


title: Nernst effect in the phase-fluctuating superconductor InO$_x$

abstract:
  We present a study of the Nernst effect in amorphous 2D superconductor
InO$_x$, whose low carrier density implies low phase rigidity and strong
superconducting phase fluctuations. Instead of presenting the abrupt jump
expected at a BCS transition, the Nernst signal evolves continuously through
the superconducting transition as previously observed in underdoped cuprates.
This contrasts with the case of Nb$_{0.15}$Si$_{0.85}$, where the Nernst signal
due to vortices below T$_{c}$ and by Gaussian fluctuations above are clearly
distinct. The behavior of the ghost critical field in InO$_x$ points to a
correlation length which does not diverge at $T_c$, a temperature below which
the amplitude fluctuations freeze, but phase fluctuations survive.


title: Wide-field stellar photometry in Piwnice Observatory

abstract:
  In this paper research projects based on the wide-field CCD photometry
performed in Piwnice Observatory are discussed. The used telescopes, as well as
dedicated software pipeline for data reduction are presented. The prospects for
collaboration between Polish and Bulgarian institutes in the field of
wide-field photometry are also discussed.


title: Analysis of nonlinear modes of variation for functional data

abstract:
  A set of curves or images of similar shape is an increasingly common
functional data set collected in the sciences. Principal Component Analysis
(PCA) is the most widely used technique to decompose variation in functional
data. However, the linear modes of variation found by PCA are not always
interpretable by the experimenters. In addition, the modes of variation of
interest to the experimenter are not always linear. We present in this paper a
new analysis of variance for Functional Data. Our method was motivated by
decomposing the variation in the data into predetermined and interpretable
directions (i.e. modes) of interest. Since some of these modes could be
nonlinear, we develop a new defined ratio of sums of squares which takes into
account the curvature of the space of variation. We discuss, in the general
case, consistency of our estimates of variation, using mathematical tools from
differential geometry and shape statistics. We successfully applied our method
to a motivating example of biological data. This decomposition allows
biologists to compare the prevalence of different genetic tradeoffs in a
population and to quantify the effect of selection on evolution.


title: Dynamics of an Ising Spin Glass on the Bethe Lattice

abstract:
  We study the dynamical low temperature behaviour of the Ising spin glass on
the Bethe lattice. Starting from Glauber dynamics we propose a cavity like
Ansatz that allows for the treatment of the slow (low temperature) part of
dynamics. Assuming a continuous phase transitions and ultrametricity with
respect to long time scales we approach the problem perturbatively near the
critical temperature. The theory is formulated in terms of
correlation-response-functions of arbitrary order. They can, however, be broken
down completely to products of pair functions depending on two time arguments
only. For binary couplings $J=\pm I$ a spin glass solution is found which
approaches the corresponding solution for the SK-model in the limit of high
connectivity. For more general distributions $P(J)$ no stable or marginal
solution of this type appears to exist. The nature of the low temperature phase
in this more general case is unclear.


title:
Observation of B_s to phi gamma and Search for B_s to gamma gamma Decays
  at Belle

abstract:
  We search for the radiative penguin decays B_s to phi gamma and B_s to gamma
gamma in a 23.6 fb-1 data sample collected at the Upsilon(5S) resonance with
the Belle detector at the KEKB e+e- asymmetric-energy collider. We observe for
the first time a radiative penguin decay of the B_s meson in the B_s to phi
gamma mode. No significant B_s to gamma gamma signal is observed.


title:
Easy-Axis Kagom\'e Antiferromagnet: Local-Probe Study of
  Nd$_3$Ga$_5$SiO$_{14}$

abstract:
  We report a local-probe investigation of the magnetically anisotropic
kagom\'e compound Nd$_3$Ga$_5$SiO$_{14}$. Our zero-field $\mu$SR results
provide a direct evidence of a fluctuating collective paramagnetic state down
to 60 mK, supported by a wipe-out of the Ga nuclear magnetic resonance (NMR)
signal below 25 K. At 60 mK a dynamics crossover to a much more static state is
observed by $\mu$SR in magnetic fields above 0.5 T. Accordingly, the NMR signal
is recovered at low $T$ above a threshold field, revealing a rapid temperature
and field variation of the magnetic fluctuations.


title: Algorithms for Generating Convex Sets in Acyclic Digraphs

abstract:
  A set $X$ of vertices of an acyclic digraph $D$ is convex if $X\neq
\emptyset$ and there is no directed path between vertices of $X$ which contains
a vertex not in $X$. A set $X$ is connected if $X\neq \emptyset$ and the
underlying undirected graph of the subgraph of $D$ induced by $X$ is connected.
Connected convex sets and convex sets of acyclic digraphs are of interest in
the area of modern embedded processor technology. We construct an algorithm
$\cal A$ for enumeration of all connected convex sets of an acyclic digraph $D$
of order $n$. The time complexity of $\cal A$ is $O(n\cdot cc(D))$, where
$cc(D)$ is the number of connected convex sets in $D$. We also give an optimal
algorithm for enumeration of all (not just connected) convex sets of an acyclic
digraph $D$ of order $n$. In computational experiments we demonstrate that our
algorithms outperform the best algorithms in the literature.
  Using the same approach as for $\cal A$, we design an algorithm for
generating all connected sets of a connected undirected graph $G$. The
complexity of the algorithm is $O(n\cdot c(G)),$ where $n$ is the order of $G$
and $c(G)$ is the number of connected sets of $G.$ The previously reported
algorithm for connected set enumeration is of running time $O(mn\cdot c(G))$,
where $m$ is the number of edges in $G.$


title: Neutron matter at low density and the unitary limit

abstract:
  Neutron matter at low density is studied within the hole-line expansion.
Calculations are performed in the range of Fermi momentum $k_F$ between 0.4 and
0.8 fm$^{-1}$. It is found that the Equation of State is determined by the
$^1S_0$ channel only, the three-body forces contribution is quite small, the
effect of the single particle potential is negligible and the three hole-line
contribution is below 5% of the total energy and indeed vanishing small at the
lowest densities. Despite the unitary limit is actually never reached, the
total energy stays very close to one half of the free gas value throughout the
considered density range. A rank one separable representation of the bare NN
interaction, which reproduces the physical scattering length and effective
range, gives results almost indistinguishable from the full Brueckner G-matrix
calculations with a realistic force. The extension of the calculations below
$k_F = 0.4$ fm$^{-1}$ does not indicate any pathological behavior of the
neutron Equation of State.


title: Magnetic field emergence in quiet Sun granules

abstract:
  We describe a new form of small-scale magnetic flux emergence in the quiet
Sun. This process seems to take vertical magnetic fields from the solar
interior to the photosphere, where they appear above granular convection cells.
High-cadence time series of spectropolarimetric measurements obtained by Hinode
in a quiet region near disk center are analyzed. We extract line parameters
from the observed Stokes profiles and study their evolution with time. The
circular polarization maps derived from the observed \ion{Fe}{i} 630 nm lines
show clear magnetic signals emerging at the center of granular cells. We do not
find any evidence for linear polarization signals associated with these events.
The magnetic flux patches grow with time, occupying a significant fraction of
the granular area. The signals then fade until they disappear completely. The
typical lifetime of these events is of the order of 20 minutes. No significant
changes in the chromosphere seem to occur in response to the emergence, as
revealed by co-spatial \ion{Ca}{ii} H filtergrams. The Stokes I and V profiles
measured in the emerging flux concentrations show strong asymmetries and
Doppler shifts. The origin of these events is unclear at present, but we
suggest that they may represent the emergence of vertical fields lines from the
bottom of the photosphere, possibly dragged by the convective upflows of
granules. Preliminary inversions of the Stokes spectra indicate that this
scenario is compatible with the observations. The emergence of vertical field
lines is not free from conceptual problems, though.


title: Collimation and Radiative Deceleration of Jets in TeV AGNs

abstract:
  We consider some implications of the rapid X-ray and TeV variability observed
in M87 and the TeV blazars. We outline a model for jet focusing and demonstrate
that modest radiative cooling can lead to recollimation of a relativistic jet
in a nozzle having a very small cross-sectional radius. Such a configuration
can produce rapid variability at large distances from the central engine and
may explain recent observations of the HST-1 knot in M87. Possible applications
of this model to TeV blazars are discussed. We also discuss a scenario for the
very rapid TeV flares observed with HESS and MAGIC in some blazars, that
accommodates the relatively small Doppler factors inferred from radio
observations.


title: Binary search trees for generalized measurement

abstract:
  Generalized quantum measurements (POVMs or POMs) are important for optimally
extracting information for quantum communication and computation. The standard
realization via the Neumark extension requires extensive resources in the form
of operations in an extended Hilbert space. For an arbitrary measurement, we
show how to construct a binary search tree with a depth logarithmic in the
number of possible outcomes. This could be implemented experimentally by
coupling the measured quantum system to a probe qubit which is measured, and
then iterating.


title: A covariant view on the nucleons' quark core

abstract:
  Established results for the quark propagator in Landau gauge QCD, together
with a detailed comparison to lattice data, are used to formulate a Poincare
covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes
describe the quark core of the nucleon. The nucleon's mass and its
electromagnetic form factors are calculated as functions of the current quark
mass. The corresponding results together with charge radii and magnetic moments
are discussed in connection with the contributions from various ingredients in
a consistent calculation of nucleon properties, as well as the role of the pion
cloud in such an approach.


title: Do active galactic nuclei convert dark matter into visible particles?

abstract:
  The hypothesis that dark matter consists of superheavy particles with the
mass close to the Grand Unification scale is investigated. These particles were
created from vacuum by the gravitation of the expanding Universe and their
decay led to the observable baryon charge. Some part of these particles with
the lifetime larger than the time of breaking of the Grand Unification symmetry
became metastable and survived up to the modern time as dark matter. However in
active galactic nuclei due to large energies of dark matter particles swallowed
by the black hole the opposite process can occur. Dark matter particles become
interacting. Their decay on visible particles at the Grand Unification energies
leads to the flow of ultra high energy cosmic rays observed by the Auger group.
Numerical estimates of the effect leading to the observable numbers are given.


title:
Fronts in randomly advected and heterogeneous media and nonuniversality
  of Burgers turbulence: Theory and numerics

abstract:
  A recently established mathematical equivalence--between weakly perturbed
Huygens fronts (e.g., flames in weak turbulence or geometrical-optics wave
fronts in slightly nonuniform media) and the inviscid limit of
white-noise-driven Burgers turbulence--motivates theoretical and numerical
estimates of Burgers-turbulence properties for specific types of white-in-time
forcing. Existing mathematical relations between Burgers turbulence and the
statistical mechanics of directed polymers, allowing use of the replica method,
are exploited to obtain systematic upper bounds on the Burgers energy density,
corresponding to the ground-state binding energy of the directed polymer and
the speedup of the Huygens front. The results are complementary to previous
studies of both Burgers turbulence and directed polymers, which have focused on
universal scaling properties instead of forcing-dependent parameters. The
upper-bound formula can be heuristically understood in terms of renormalization
of a different kind from that previously used in combustion models, and also
shows that the burning velocity of an idealized turbulent flame does not
diverge with increasing Reynolds number at fixed turbulence intensity, a
conclusion that applies even to strong turbulence. Numerical simulations of the
one-dimensional inviscid Burgers equation using a Lagrangian finite-element
method confirm that the theoretical upper bounds are sharp within about 15% for
various forcing spectra (corresponding to various two-dimensional random
media). These computations provide a new quantitative test of the replica
method. The inferred nonuniversality (spectrum dependence) of the front speedup
is of direct importance for combustion modeling.


title:
A Radio Through X-ray Study of the Jet/Companion-Galaxy Interaction in
  3C 321

abstract:
  We present a multiwavelength study of the nucleus, environment, jets, and
hotspots of the nearby FRII radio galaxy 3C 321, using new and archival data
from MERLIN, the VLA, Spitzer, HST, and Chandra. An initially collimated radio
jet extends northwest from the nucleus of its host galaxy and produces a
compact knot of radio emission adjacent (in projection) to a companion galaxy,
after which it dramatically flares and bends, extending out in a diffuse
structure 35 kpc northwest of the nucleus. We argue that the simplest
explanation for the unusual morphology of the jet is that it is undergoing an
interaction with the companion galaxy. Given that the northwest hotspot that
lies >250 kpc from the core shows X-ray emission, which likely indicates in
situ high-energy particle acceleration, we argue that the jet-companion
interaction is not a steady-state situation. Instead, we suggest that the jet
has been disrupted on a timescale less than the light travel time to the end of
the lobe, $\sim 10^6$ years, and that the jet flow to this hotspot will only be
disrupted for as long as the jet-companion interaction takes place. The host
galaxy of 3C 321 and the companion galaxy are in the process of merging, and
each hosts a luminous AGN. As this is an unusual situation, we investigate the
hypothesis that the interacting jet has driven material on to the companion
galaxy, triggering its AGN. Finally, we present detailed radio and X-ray
observations of both hotspots, which show that there are multiple emission
sites, with spatial offsets between the radio and X-ray emission.


title: Impact parameter dependent colour glass condensate dipole model

abstract:
  We show that the colour glass condensate dipole model of Iancu, Itakura and
Munier, improved to include the impact parameter dependence, gives a good fit
to the total gamma* p cross section measured at HERA if the anomalous dimension
at the saturation scale, gamma_s, is treated as a free parameter. We find that
the optimum value of gamma_s = 0.46 is close to the value determined from
numerical solution of the Balitsky-Kovchegov equation. The impact parameter
dependent saturation scale is generally less than 0.5 GeV^2 in the HERA
kinematic regime for the most relevant impact parameters b ~ 2-3 GeV^{-1}. We
compare predictions of the model to data on the longitudinal and heavy flavour
structure functions, exclusive diffractive vector meson production and deeply
virtual Compton scattering at HERA. The model is found to be deficient for
observables sensitive to moderately small dipole sizes, where an alternative
model with explicit DGLAP evolution performs better. The energy dependence of
exclusive diffractive processes is shown to provide an important discriminator
between different dipole model cross sections.


title:
On the equations of the moving curve ideal of a rational algebraic plane
  curve

abstract:
  Given a parametrization of a rational plane algebraic curve C, some explicit
adjoint pencils on C are described in terms of determinants. Moreover, some
generators of the Rees algebra associated to this parametrization are
presented. The main ingredient developed in this paper is a detailed study of
the elimination ideal of two homogeneous polynomials in two homogeneous
variables that form a regular sequence.


title:
Holographic Dark Energy in Braneworld Models with Moving Branes and the
  w=-1 Crossing

abstract:
  We apply the bulk holographic dark energy in general 5D two-brane models. We
extract the Friedmann equation on the physical brane and we show that in the
general moving-brane case the effective 4D holographic dark energy behaves as a
quintom for a large parameter-space area of a simple solution subclass. We find
that $w_\Lambda$ was larger than -1 in the past while its present value is
$w_{\Lambda_0}\approx-1.05$, and the phantom bound $w_\Lambda=-1$ was crossed
at $z_{p}\approx0.41$, a result in agreement with observations. Such a behavior
arises naturally, without the inclusion of special fields or potential terms,
but a fine-tuning between the 4D Planck mass and the brane tension has to be
imposed.


title: Defect-free surface states in modulated photonic lattices

abstract:
  We predict that interfaces of modulated photonic lattices can support a novel
type of generic surface states. Such linear surface states appear in truncated
but otherwise perfect (defect-free) lattices as a direct consequence of the
periodic modulation of the lattice potential, without any embedded or
nonlinearity-induced defects. This is in a sharp contrast to all previous
studies, where surface states in linear or nonlinear lattices, such as Tamm or
Shockley type surface states, are always associated with the presence of a
certain type of structural or induced surface defect.


title: Uniqueness of real closure * of regular rings

abstract:
  In this paper we give a characterisation of real closure * of regular rings,
which is quite similar to the characterisation of real closure * of Baer
regular rings seen in [4]. We also characterize Baer-ness of regular rings
using near-open maps. The last part of this work will concentrate on
classifying the real closure * of Baer and non-Baer regular rings (upto
isomorphisms) using continuous sections of the support map, we construct a
topology on this set for the Baer case. For the case of non-Baer regular rings,
it will be shown that almost no information of the ring structure of the Baer
hull is necessary in order to study the real and prime spectra of the Baer
hull. We shall make use of the absolutes of Hausdorff spaces in order to give a
construction of the spectra of the Baer hulls of regular rings. Finally we give
example of a Baer regular ring that is not rationally complete.


title: Leptogenesis, Dark Energy, Dark Matter and the neutrinos

abstract:
  In this review we discuss how the models of neutrino masses can accommodate
solutions to the problem of matter-antimatter asymmetry in the universe, dark
energy or cosmological constant problem and dark matter candidates. The
matter-antimatter asymmetry is explained by leptogenesis, originating from the
lepton number violation associated with the neutrino masses. The dark energy
problem is correlated with a mass varying neutrinos, which could originate from
a pseudo-Nambu-Goldstone boson. In some radiative models of neutrino masses,
there exists a Higgs doublet that does not acquire any vacuum expectation
value. This field could be inert and the lightest inert particle could then be
a dark matter candidate. We reviewed these scenarios in connection with models
of neutrino masses with right-handed neutrinos and with triplet Higgs scalars.


title:
Large Deviations Analysis for Distributed Algorithms in an Ergodic
  Markovian Environment

abstract:
  We provide a large deviations analysis of deadlock phenomena occurring in
distributed systems sharing common resources. In our model transition
probabilities of resource allocation and deallocation are time and space
dependent. The process is driven by an ergodic Markov chain and is reflected on
the boundary of the d-dimensional cube. In the large resource limit, we prove
Freidlin-Wentzell estimates, we study the asymptotic of the deadlock time and
we show that the quasi-potential is a viscosity solution of a Hamilton-Jacobi
equation with a Neumann boundary condition. We give a complete analysis of the
colliding 2-stacks problem and show an example where the system has a stable
attractor which is a limit cycle.


title:
The Comparative Study of the Inclusive $\pi^0$ Analyzing Power in
  Reactions p+p(pol)->\pi^0 + X and \pi^-+p(pol)->\pi^0 + X at 50 and 40 Gev/C
  Respectively

abstract:
  Single-spin asymmetries $A_N$ in reactions p+p(pol)->\pi^0 + X and
\pi^-+p(pol)->\pi^0 + X at 50 and 40 GeV/c respectively behave in drastically
different ways in function of transverse momentum in the central region. At the
same time $A_N$ in the polarized proton fragmentation region of these reactions
are practically coinciding. Our new data on the analyzing power at 50 GeV/c in
the polarized proton fragmentation region in reaction p+p(pol)->\pi^0 + X
confirm this conclusion with better statistics and coincide with our previous
data at 70 GeV/c for the same reaction.


title: Convex sets in acyclic digraphs

abstract:
  A non-empty set $X$ of vertices of an acyclic digraph is called connected if
the underlying undirected graph induced by $X$ is connected and it is called
convex if no two vertices of $X$ are connected by a directed path in which some
vertices are not in $X$. The set of convex sets (connected convex sets) of an
acyclic digraph $D$ is denoted by $\sco(D)$ ($\scc(D)$) and its size by
$\co(D)$ ($\cc(D)$). Gutin, Johnstone, Reddington, Scott, Soleimanfallah, and
Yeo (Proc. ACiD'07) conjectured that the sum of the sizes of all (connected)
convex sets in $D$ equals $\Theta(n \cdot \co(D))$ ($\Theta(n \cdot \cc(D))$)
where $n$ is the order of $D$.
  In this paper we exhibit a family of connected acyclic digraphs with
$\sum_{C\in \sco(D)}|C| = o(n\cdot \co(D))$ and $\sum_{C\in \scc(D)}|C| =
o(n\cdot \cc(D))$. We also show that the number of connected convex sets of
order $k$ in any connected acyclic digraph of order $n$ is at least $n-k+1$.
This is a strengthening of a theorem by Gutin and Yeo.


title: Diffusion on Ruffled Membrane Surfaces

abstract:
  We present a position Langevin equation for overdamped particle motion on
rough two-dimensional surfaces. A Brownian Dynamics algorithm is suggested to
evolve this equation numerically, allowing for the prediction of effective
(projected) diffusion coefficients over corrugated surfaces. In the case of
static surface roughness, we find that a simple area-scaling prediction for the
projected diffusion coefficient leads to seemingly quantitative agreement with
numerical results. To study the effect of dynamic surface evolution on the
diffusive process, we consider particle diffusion over a thermally fluctuating
elastic membrane. Surface fluctuation has the effect of increasing the
effective diffusivity toward a limiting annealed-surface value discussed
previously. We argue that protein motion over cell surfaces spans a variety of
physical regimes, making it impossible to identify a single approximation
scheme appropriate to all measurements of interest.


title:
Tensor and Operator Forms of 3He and 3H Wave Functions for
  Parity-Violating Nuclear Forces

abstract:
  Tensor representation (TR) for wave function (WF) of three-nucleon bound
state with the total angular momentum I=1/2 is discussed. The WF in TR has 16
complex components depending on vectors of relative momenta. Constraints on the
WF imposed by requirements of invariance with respect to space inversion and
time reversal are studied. Both parity-even and parity-odd components of the 3N
bound state are constructed using 16 scalar functions. The arguments of the
functions are magnitudes of relative momenta and scalar product of the momenta.
With nuclear forces being time-reversal invariant these functions are real. The
WF in TR is converted into an operator form, accounting for parity violating
contributions. Properties of operator representations for WFs of 2N and 3N
nuclei are compared.


title:
The Relic Abundance of Massive Colored Particles after a Late Hadronic
  Annihilation Stage

abstract:
  We discuss the relic abundance of massive long lived colored particles with
mass of the order of 1 TeV. We first examine the case where the massive colored
particles have the standard color only. Next we consider the "Quirk Model"
suggested by M. Luty, in which the colored particles transform under an
additional non-abelian gauge group with a scale much smaller than the
particles' mass. In both cases, the relic abundance is reduced via a "late"
hadronic annihilation stage. In the second case the relic Quirks bind to
ordinary quarks forming fractional charged objects and also anomalous heavy
isotopes, and the bounds on the relic abundance become extremely severe. The
force between Quirks, however, has a new confining part that manifests via
macroscopic strings and the resulting efficient "very late" annihilations
reduce the relic abundance to acceptable levels. The prospects of creating and
detecting such particles at LHC and the fate of the particles created are
discussed.


title: An Approximation Ratio for Biclustering

abstract:
  The problem of biclustering consists of the simultaneous clustering of rows
and columns of a matrix such that each of the submatrices induced by a pair of
row and column clusters is as uniform as possible. In this paper we approximate
the optimal biclustering by applying one-way clustering algorithms
independently on the rows and on the columns of the input matrix. We show that
such a solution yields a worst-case approximation ratio of 1+sqrt(2) under
L1-norm for 0-1 valued matrices, and of 2 under L2-norm for real valued
matrices.


title:
Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of
  the semiclassical model

abstract:
  The semi-classical Bloch-Boltzmann theory is at the heart of our
understanding of conduction in solids, ranging from metals to semi-conductors.
Physical systems that are beyond the range of applicability of this theory are
thus of fundamental interest. It appears that in quasicrystals and related
complex metallic alloys, a new type of break-down of this theory operates. This
phenomenon is related to the specific propagation of electrons. We develop a
theory of quantum transport that applies to a normal ballistic law but also to
these specific diffusion laws. As we show phenomenological models based on this
theory describe correctly the anomalous conductivity in quasicrystals.
Ab-initio calculations performed on approximants confirm also the validity of
this anomalous quantum diffusion scheme. This provides us with an ab-initio
model of transport in approximants such as alpha-AlMnSi and AlCuFe 1/1 cubic
approximant.


title: An Economic Model of Coupled Exponential Maps

abstract:
  In this work, an ensemble of economic interacting agents is considered. The
agents are arranged in a linear array where only local couplings are allowed.
The deterministic dynamics of each agent is given by a map. This map is
expressed by two factors. The first one is a linear term that models the
expansion of the agent's economy and that is controlled by the {\it growth
capacity parameter}. The second one is an inhibition exponential term that is
regulated by the {\it local environmental pressure}. Depending on the parameter
setting, the system can display Pareto or Boltzmann-Gibbs behavior in the
asymptotic dynamical regime. The regions of parameter space where the system
exhibits one of these two statistical behaviors are delimited. Other properties
of the system, such as the mean wealth, the standard deviation and the Gini
coefficient, are also calculated.


title: Poisson structures and generalized Kahler structures

abstract:
  Let X be a compact Kahler manifold with a non-trivial holomorphic Poisson
structure. Then there exist deformations of non-trivial generalized Kahler
structures with one pure spinor on X. We prove that every Poisson submanifold
of X is a generalized Kahler submanifold with respect to the deformed
generalized Kahler structures and provide non-trivial examples of generalized
Kahler submanifolds arising as holomorphic Poisson submanifolds. We also obtain
unobstructed deformations of bi-Hermitian structures constructed from Poisson
structures.


title:
Comment on "Remark on the renormalization group equation for the Penner
  model"

abstract:
  We show explicitly that the sum over punctures for the three times derivative
for the Penner free energy $F_{0}^{3}$, given by D.A. Johnston, Phys.Rev.D 51
(1995) is not correct. As a consequence, Eq.(21), the differentiated version
for the renormalization group (RG) equation, is wrong. Also, his conclusion
that the differentiated version of the (RG) equation for the three-times
derivative of the free energy can be obtained from the higher genus (RG)
equation can not be true. Finally, the differentiated version of the (RG)
equation is extended to any $s$ derivative of the free energy $F_{0}$.


title: The value of information in financial markets: An agent-based simulation

abstract:
  We present results on simulations of a stock market with heterogeneous,
cumulative information setup. We find a non-monotonic behaviour of traders'
returns as a function of their information level. Particularly, the average
informed agents underperform random traders; only the most informed agents are
able to beat the market. We also study the effect of a strategy updating
mechanism, when traders have the possibility of using other pieces of
information than the fundamental value. These results corroborate the latter
ones: it is only for the most informed player that it is rewarding to stay
fundamentalist. The simulations reproduce some stylized facts of tick-by-tick
stock-exchange data and globally show informational efficiency.


title: Cubicity, Boxicity and Vertex Cover

abstract:
  A $k$-dimensional box is the cartesian product $R_1 \times R_2 \times ...
\times R_k$ where each $R_i$ is a closed interval on the real line. The {\it
boxicity} of a graph $G$, denoted as $box(G)$, is the minimum integer $k$ such
that $G$ is the intersection graph of a collection of $k$-dimensional boxes. A
unit cube in $k$-dimensional space or a $k$-cube is defined as the cartesian
product $R_1 \times R_2 \times ... \times R_k$ where each $R_i$ is a closed
interval on the real line of the form $[a_i, a_{i}+1]$. The {\it cubicity} of
$G$, denoted as $cub(G)$, is the minimum $k$ such that $G$ is the intersection
graph of a collection of $k$-cubes. In this paper we show that $cub(G) \leq t +
\left \lceil \log (n - t)\right\rceil - 1$ and $box(G) \leq \left
\lfloor\frac{t}{2}\right\rfloor + 1$, where $t$ is the cardinality of the
minimum vertex cover of $G$ and $n$ is the number of vertices of $G$. We also
show the tightness of these upper bounds.
  F. S. Roberts in his pioneering paper on boxicity and cubicity had shown that
for a graph $G$, $box(G) \leq \left \lfloor\frac{n}{2} \right \rfloor$, where
$n$ is the number of vertices of $G$, and this bound is tight. We show that if
$G$ is a bipartite graph then $box(G) \leq \left \lceil\frac{n}{4}
\right\rceil$ and this bound is tight. We point out that there exist graphs of
very high boxicity but with very low chromatic number. For example there exist
bipartite (i.e., 2 colorable) graphs with boxicity equal to $\frac{n}{4}$.
Interestingly, if boxicity is very close to $\frac{n}{2}$, then chromatic
number also has to be very high. In particular, we show that if $box(G) =
\frac{n}{2} - s$, $s \geq 0$, then $\chi(G) \geq \frac{n}{2s+2}$, where
$\chi(G)$ is the chromatic number of $G$.


title: Corrections to the Saffman-Delbruck mobility for membrane bound proteins

abstract:
  Recent experiments by Y. Gambin et al. [PNAS 103, 2098 (2006)] have called
into question the applicability of the Saffman-Delbruck diffusivity for
proteins embedded in the lipid bilayers. We present a simple argument to
account for this observation that should be generically valid for a large class
of transmembrane and membrane bound proteins. Whenever the protein-lipid
interactions locally deform the membrane, that deformation generates new
hydrodynamic stresses on the protein-membrane complex leading to a suppression
of its mobility. We show that this suppression depends on the protein size in a
manner consistent with the work of Y. Gambin et al.


title: Importance of neutrinoless double beta decay

abstract:
  A natural explanation for the smallness of the neutrino mass requires them to
be Majorana particles violating lepton number by two units. Since lepton number
violation can have several interesting consequences in particle physics and
cosmology, it is of utmost importance to find out if there is lepton number
violation in nature and what is its magnitude. The neutrinoless double beta
decay experiment can answer these questions: if there is lepton number
violation and if neutrinos are Majorana particles. In addition, the magnitude
of neutrinoless double beta decay will constrain any other lepton number
violating processes. This lepton number violation may also be relatd to the
matter-antimatter asymmetry of the universe, dark matter and cosmological
constant.


title: New Polarization Program at U70 (SPASCHARM Project)

abstract:
  The new polarization program SPASCHARM is being prepared in Protvino. The
program has two stages. The first stage is dedicated to single-spin asymmetries
in the production of miscellaneous light resonances with the use of 34 GeV
$\pi^-$-beam. Inclusive and exclusive reactions will be studied simultaneously.
The second stage is dedicated to single-spin and double-spin asymmetries in
charmonium production with the use of 70 GeV polarized proton beam which will
allow us to understand charmonium hadronic production mechanism and make gluon
polarization $\Delta g(x)$ extraction at large $x$.


title:
A populous intermediate-age open cluster and evidence of an embedded
  cluster among the FSR globular cluster candidates

abstract:
  We study the nature of the globular cluster (GC) candidates FSR 1603 and FSR
1755 selected from the catalogue of \citet{FSRcat}. Their properties are
investigated with 2MASS field-star decontaminated photometry, which is used to
build colour-magnitude diagrams (CMDs), and stellar radial density profiles
(RDPs). FSR 1603 has the open cluster (OC) Ruprecht 101 as optical counterpart,
and we show it to be a massive intermediate age cluster (IAC). Relevant
parameters of FSR 1603 are the age $\approx1$ Gyr, distance from the Sun
$\ds\approx2.7$ kpc, Galactocentric distance $\dgc\approx6.4$ kpc, core radius
$\rc\approx1.1$ pc, mass function slope $\chi\approx1.8$, observed stellar mass
(for stars with mass in the range $\rm 1.27 \ms\leq m\leq2.03 \ms$)
$\mObs\approx500 \ms$, and a total (extrapolated to $\rm m=0.08 \ms$) stellar
mass $\mTot\approx2300 \ms$. FSR 1755, on the other hand, is not a populous
cluster. It may be a sparse young cluster embedded in the H II region Sh2-3,
subject to an absorption $\aV\approx4.1$, located at $\ds\approx1.3$ kpc.
Important field-star contamination, spatially-variable heavy dust obscuration,
even in \ks, and gas emission characterise its field. A nearly vertical, sparse
blue stellar sequence shows up in the CMDs.