title: The $\Lambda$-coalescent speed of coming down from infinity

abstract:
  Consider a $\Lambda$-coalescent that comes down from infinity (meaning that
it starts from a configuration containing infinitely many blocks at time 0, yet
it has a finite number $N_t$ of blocks at any positive time $t>0$). We exhibit
a deterministic function $v:(0,\infty)\to(0,\infty)$ such that $N_t/v(t)\to1$,
almost surely, and in $L^p$ for any $p\geq1$, as $t\to0$. Our approach relies
on a novel martingale technique.


title: Preterm Birth Analysis Using Nonlinear Methods (a preliminary study)

abstract:
  In this report we review modern nonlinearity methods that can be used in the
preterm birth analysis. The nonlinear analysis of uterine contraction signals
can provide information regarding physiological changes during the menstrual
cycle and pregnancy. This information can be used both for the preterm birth
prediction and the preterm labor control.
  Keywords: preterm birth, complex data analysis, nonlinear methods


title: Do the Tellegen particles really exist in electromagnetics?

abstract:
  In 1948 Tellegen suggested that an assembly of the lined up electric-magnetic
dipole twins can construct a new type of an electromagnetic material. Till now,
however, the problem of creation of the Tellegen medium is a subject of strong
discussions. An elementary symmetry analysis makes questionable an idea of a
simple combination of two (electric and magnetic) dipoles to realize local
materials with the Tellegen particles as structural elements. In this paper we
show that in his search of sources with local junctions of the electrical and
magnetic properties one cannot rely on the induced parameters of small
electromagnetic scatterers. No near-field electromagnetic structures and
classical motion equations for point charges give a physical basis to realize
sources with the local junction of the electrical and magnetic properties. We
advance a hypothesis that local magnetoelectric (ME) particles should be the
physical objects with eigenmode oscillation spectra and non-classical symmetry
breaking effects. Our studies convincingly prove this assumption. We show that
a quasi-2D ferrite disk with magnetic-dipolar-mode oscillations is
characterized by unique symmetry features with topological phases resulting in
appearance of the ME properties. The entire ferrite disk can be characterized
as a combined system with eigen electric and magnetic moments. The fields near
such a particle are distinguished by special symmetry properties.


title: Magnetic-dipolar and electromagnetic vortices in quasi-2D ferrite disks

abstract:
  Magnetic-dipolar-mode (MDM) oscillations in a quasi-2D ferrite disk show
unique dynamical symmetry properties resulting in appearance of topologically
distinct structures. Based on the magnetostatic (MS) spectral problem
solutions, in this paper we give an evidence for eigen MS power-flow-density
vortices in a ferrite disk. Due to these circular eigen power flows, the MDMs
are characterized by MS energy eigen states. It becomes evident that the reason
of stability of the vortex configurations in saturated ferrite samples is
completely different from the nature of stability in magnetically soft
cylindrical dots. We found a clear correspondence between analytically derived
MDM vortex states and numerically modeled electromagnetic vortices in quasi-2D
ferrite disks.


title: Dynamic Coulomb blockade in single-lead quantum dots

abstract:
  We investigate transient dynamic response of an Anderson impurity quantum dot
to a family of ramp-up driving voltage applied to the single coupling lead.
Transient current is calculated based on a hierarchical equations of motion
formalism for open dissipative systems [J. Chem. Phys. 128, 234703 (2008)]. In
the nonlinear response and nonadiabatic charging regime, characteristic
resonance features of transient response current reveal distinctly and
faithfully the energetic configuration of the quantum dot. We also discuss and
comment on both the physical and numerical aspects of the theoretical formalism
used in this work.


title: Effect of pressure on the magnetostructural transition in SrFe2As2

abstract:
  We present a systematic pressure study of poly- and single crystalline
SrFe2As2 by electrical resistivity and X-ray diffraction measurements. SrFe2As2
exhibits a structural phase transition from a tetragonal to an orthorhombic
phase at T0=205 K. The structural phase transition is intimately linked to a
spin-density-wave transition taking place at the same temperature. Our pressure
experiments show that T0 shifts to lower temperatures with increasing pressure.
We can estimate a critical pressure of 4 to 5 GPa for the suppression of T0 to
zero temperature. At pressures above 2.5 GPa the resistivity decreases
significantly below Tx=40 K hinting at the emergence of superconductivity but
no zero-resistance state is observed up to 3 GPa.


title: Formation of aeolian ripples and sand sorting

abstract:
  We present a continuous model capable of demonstrating some salient features
of aeolian sand ripples: the realistic asymmetric ripple shape, coarsening of
ripple field at the nonlinear stage of ripple growth, saturation of ripple
growth for homogeneous sand, typical size segregation of sand and formation of
armoring layers of coarse particles on ripple crests and windward slopes if
sand is inhomogeneous.


title: Renewal sequences, disordered potentials, and pinning phenomena

abstract:
  We give an overview of the state of the art of the analysis of disordered
models of pinning on a defect line. This class of models includes a number of
well known and much studied systems (like polymer pinning on a defect line,
wetting of interfaces on a disordered substrate and the Poland-Scheraga model
of DNA denaturation). A remarkable aspect is that, in absence of disorder, all
the models in this class are exactly solvable and they display a
localization-delocalization transition that one understands in full detail.
Moreover the behavior of such systems near criticality is controlled by a
parameter and one observes, by tuning the parameter, the full spectrum of
critical behaviors, ranging from first order to infinite order transitions.
This is therefore an ideal set-up in which to address the question of the
effect of disorder on the phase transition,notably on critical properties. We
will review recent results that show that the physical prediction that goes
under the name of Harris criterion is indeed fully correct for pinning models.
Beyond summarizing the results, we will sketch most of the arguments of proof.


title: Is graphene on Ru(0001) a nanomesh?

abstract:
  The electronic structure of a single layer graphene on Ru(0001) is compared
with that of a single layer hexagonal boron nitride nanomesh on Ru(0001). Both
are corrugated sp2 networks and display a pi-band gap at the K point of their 1
x 1 Brillouin zone. Graphene has a distinct Fermi surface which indicates that
0.1 electrons are transferred per 1 x 1 unit cell. Photoemission from adsorbed
xenon identifies two distinct Xe 5p1/2 lines, separated by 240 meV, which
reveals a corrugated electrostatic potential energy surface. These two Xe
species are related to the topography of the system and have different
desorption energies.


title:
Constraints on Supersymmetric Models from Catalytic Primordial
  Nucleosynthesis of Beryllium

abstract:
  The catalysis of nuclear reactions by negatively charged relics leads to
increased outputs of primordial ^6Li and ^9Be. In combination with
observational constraints on the primordial fractions of ^6Li and ^9Be, this
imposes strong restrictions on the primordial abundance and the lifetime of
charged relics. We analyze the constraints from the catalysis of ^9Be on
supersymmetric models in which the gravitino is the lightest supersymmetric
particle and a charged slepton--such as the lighter stau--the next-to-lightest
supersymmetric particle (NLSP). Barring the special cases in which the
primordial fraction of the slepton NLSP is significantly depleted, we find that
the ^9Be data require a slepton NLSP lifetime of less than 6x10^3 seconds. We
also address the issue of the catalytic destruction of ^6Li and ^9Be by late
forming bound states of protons with negatively charged relics finding that it
does not lead to any significant modification of the limit on the slepton
lifetime.


title: Quantum Isometry Groups of 0- Dimensional Manifolds

abstract:
  Quantum isometry groups of spectral triples associated with approximately
finite-dimensional C*-algebras are shown to arise as inductive limits of
quantum symmetry groups of corresponding truncated Bratteli diagrams. This is
used to determine explicitly the quantum isometry group of the natural spectral
triple on the algebra of continuous functions on the middlethird Cantor set. It
is also shown that the quantum symmetry groups of finite graphs or metric
spaces coincide with the quantum isometry groups of the corresponding classical
objects equipped with natural Laplacians.


title: Phenomenological consequences of four zero neutrino Yukawa textures

abstract:
  For type I seesaw and in the basis where the charged lepton and heavy
right-handed neutrino mass matrices are real and diagonal, four has been shown
to be the maximum number of zeros allowed in the neutrino Yukawa coupling
matrix $Y_\nu$. These four zero textures have been classified into two distinct
categories. We investigate certain phenomenological consequences of these
textures within a supersymmetric framework. This is done by using conditions
implied on elements of the neutrino Majorana mass matrix for textures of each
category in $Y_\nu$. These conditions turn out to be stable under radiative
corrections. Including the effective mass, which appears in neutrinoless double
beta decay, along with the usual neutrino masses, mixing angles and phases, it
is shown analytically and through scatter plots how restricted regions in the
seesaw parameter space are selected by these conditions. We also make
consequential statements on the yet unobserved radiative lepton flavor
violating decays such as $\mu \to e \gamma$. All these decay amplitudes are
proportional to the moduli of entries of the neutrino Majorana mass matrix. We
also show under which conditions the low energy CP violation, showing up in
neutrino oscillations, is directly linked to the CP violation required for
producing successful flavor dependent and flavor independent lepton asymmetries
during leptogenesis.


title:
The effect of magnetic (phase) inhomogeneities upon the low temperature
  conductivity of antiferromagnetic La_{2}CuO_{4+\delta} single crystal

abstract:
  It is found that a strong inhomogeneous distribution of oxygen in single
crystal La_{2}CuO_{4+\delta} can lead to the formation of isolated
superconducting inclusions, the average hole concentration being no more than
0.0024 per Cu atom. The behavior of the conductivity in the magnetic field
below T=20 K is consistent with possible existence of a insulating
low-temperature magnetic phase (spin density waves), which is typical of
cuprates with excess oxygen.


title: Anomalous Single Production of the Fourth Generation Quarks at the LHC

abstract:
  Possible anomalous single productions of the fourth standard model generation
up and down type quarks at CERN Large Hadron Collider are studied. Namely, $p p
\to u_4 (d_4) X$ with subsequent $u_4\to bW^{+}$ process followed by leptonic
decay of $W$ boson and $d_4\to b\gamma$ (and its h.c.) decay channel are
considered. Signatures of these processes and corresponding standard model
backgrounds are discussed in detail. Discovery limits for quark mass and
achievable values of anomalous coupling strength are determined.


title: Localization in an Inhomogeneous Quantum Wire

abstract:
  We study interaction-induced localization of electrons in an inhomogeneous
quasi-one-dimensional system--a wire with two regions, one at low density and
the other high. Quantum Monte Carlo techniques are used to treat the strong
Coulomb interactions in the low density region, where localization of electrons
occurs. The nature of the transition from high to low density depends on the
density gradient--if it is steep, a barrier develops between the two regions,
causing Coulomb blockade effects. Ferromagnetic spin polarization does not
appear for any parameters studied. The picture emerging here is in good
agreement with measurements of tunneling between two wires.


title: The Photon Dominated Region in the IC 348 molecular cloud

abstract:
  In this paper we discuss the physical conditions of clumpy nature in the IC
348 molecular cloud.
  We combine new observations of fully sampled maps in [C I] at 492 GHz and
12CO 4--3, taken with the KOSMA 3 m telescope at about 1' resolution, with
FCRAO data of 12CO 1--0, 13CO 1--0 and far-infrared continuum data observed by
HIRES/IRAS. To derive the physical parameters of the region we analyze the
three different line ratios. A first rough estimate of abundance is obtained
from an LTE analysis. To understand the [C I] and CO emission from the PDRs in
IC 348, we use a clumpy PDR model. With an ensemble of identical clumps, we
constrain the total mass from the observed absolute intensities. Then we apply
a more realistic clump distribution model with a power law index of 1.8 for
clump-mass spectrum and a power law index of 2.3 for mass-size relation.
  We provide detailed fits to observations at seven representative positions in
the cloud, revealing clump densities between 4 10$^{4}$ cm$^{-3}$ and 4
10$^{5}$ cm$^{-3}$ and C/CO column density ratios between 0.02 and 0.26. The
derived FUV flux from the model fit is consistent with the field calculated
from FIR continuum data, varying between 2 and 100 Draine units across the
cloud. We find that both an ensemble of identical clumps and an ensemble with a
power law clump mass distribution produce line intensities which are in good
agreement (within a factor ~ 2) with the observed intensities. The models
confirm the anti-correlation between the C/CO abundance ratio and the hydrogen
column density found in many regions.


title:
The stellar contribution to the extra-galactic background light and
  absorption of high-energy gamma-rays

abstract:
  TeV gamma rays from distant astrophysical sources are attenuated due to
electron-positron pair creation by interacting with ultraviolet/optical to
infrared photons which fill the universe and are collectively known as the
extra-galactic background light (EBL). We model the ~0.1-10 eV starlight
component of the EBL derived from expressions for the stellar initial mass
function, star formation history of the universe, and wavelength-dependent
absorption of a large sample of galaxies in the local universe. These models
are simultaneously fitted to the EBL data as well as to the data on the stellar
luminosity density in our local universe. We find that the models with modified
Salpeter A initial mass function together with Cole et al. (2001) or Hopkins
and Beacom (2006) star formation history best represent available data. Since
no dust emission is included, our calculated EBL models can be interpreted as
the lower limits in the ~0.1-1 eV range. We present simple analytic fits to the
best-fit EBL model evolving with redshift. We then proceed to calculate
gamma-ray opacities, and absorption of ~10-300 GeV gamma-rays coming from
different redshifts. We discuss implications of our results for the Fermi Gamma
Ray Space Telescope and ground-based Air Cherenkov Telescopes.


title:
Revisiting B\to\pi K, \pi K^{\ast} and \rho K decays: CP violations and
  implication for New Physics

abstract:
  Combining the up-to-date experimental information on $B\to\pi K, \pi
K^{\ast}$ and $\rho K$ decays, we revisit the decay rates and CP asymmetries of
these decays within the framework of QCD factorization. Using an infrared
finite gluon propagator of Cornwall prescription, we find that the time-like
annihilation amplitude could contribute a large strong phase, while the
space-like hard spectator scattering amplitude is real. Numerically, we find
that all the branching ratios and most of the direct CP violations, except
$A_{CP}(B^{\pm}\to K^{\pm}\pi^{0})$, agree with the current experimental data
with an effective gluon mass $m_g\simeq0.5 {\rm GeV}$. Taking the unmatched
difference in direct CP violations between $B\to\pi^{0} K^{\pm}$ and
$\pi^{\mp}K^{\pm}$ decays as a hint of new physics, we perform a
model-independent analysis of new physics contributions with a set of
$\bar{s}(1+\gamma_{5})b\otimes\bar{q}(1+\gamma_{5})q$ (q=u,d) operators. Detail
analyses of the relative impacts of the operators are presented in five cases.
Fitting the twelve decay modes, parameter spaces are found generally with
nontrivial weak phases. Our results may indicate that both strong phase from
annihilation amplitude and new weak phase from new physics are needed to
resolve the $\pi K$ puzzle. To further test the new physics hypothesis, the
mixing-induced CP violations in $B\to\pi^{0}K_{S}$ and $\rho^{0}K_{S}$ are
discussed and good agreements with the recent experimental data are found.


title: Tunneling spin current and spin diode behavior in bilayer system

abstract:
  The coherent tunneling spin current in the bilayer system with spin-orbit
coupling is investigated. Based on the continuity-like equations, we discuss
the definition of the tunneling current and show that the overlaps between
wavefunctions for different layers contribute to the tunneling current. We
study the linear response of the tunneling spin current to an in-plane electric
field in the presence of nonmagnetic impurities. The tunneling spin
conductivity we obtained presents a feature asymmetrical with respect to the
gate voltage when the strengthes of impurity potentials are different in each
layer.


title:
Necessary and sufficient optimality conditions for relaxed and strict
  control problems of backward systems

abstract:
  We consider a stochastic control problem where the set of strict (classical)
controls is not necessarily convex, and the system is governed by a nonlinear
backward stochastic differential equation. By introducing a new approach, we
establish necessary as well as sufficient conditions of optimality for two
models. The first concerns the relaxed controls, who are measure-valued
processes. The second is a particular case of the first and relates to strict
control problems.


title:
Extracting preseismic electric signals from noisy Earth's electric field
  data recordings. The "noise injection" method

abstract:
  An entirely different approach is used for the extraction of preseismic
electric signals from highly contaminated by noise data series. The basic
element of this method is the "Dirac Delta Function". Noise is injected,
instead of applying any known method of filtering, in the data series at
different amplitude levels (p value) and the generated "family" of filtered
data series is compared to different convergence criteria. In the case of
preseismic electric signals identification the most appropriate (p) value is
selected by testing the convergence of generated intersections of more than
three "families" of filtered data which were generated from more than three
monitoring sites. The "noise injection" method was tested against real data
recorded long before two large earthquakes in Greece and one in Turkey.


title: Yang-Mills Propagators and QCD

abstract:
  We present a strong coupling expansion that permits to develop analysis of
quantum field theory in the infrared limit. Application to a quartic massless
scalar field gives a massive spectrum and the propagator in this regime. We
extend the approach to a pure Yang-Mills theory obtaining analogous results.
The gluon propagator is compared satisfactorily with lattice results and
similarly for the spectrum. Comparison with experimental low energy spectrum of
QCD supports the view that $\sigma$ resonance is indeed a glueball. The gluon
propagator we obtained is finally used to formulate a low energy Lagrangian for
QCD that reduces to a Nambu-Jona-Lasinio model with all the parameters fixed by
those of the full theory.


title:
Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg
  plaquettes

abstract:
  A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg
spin clusters assembled into a chain by alternating with Ising spins
interacting to all three spins in the triangle is considered. The exact
solution of the model is given in terms of the generalized
decoration--iteration map and within the transfer-matrix technique. Exact
expressions for thermodynamic functions are derived. Ground state phase
diagrams, thermodynamic and magnetic properties of the system are examined.


title:
Cherenkov radiation has nothing to do with X-shaped Localized Waves
  (Comments on "Cherenkov-Vavilov Formulation of X-Waves")

abstract:
  The Localized Waves are nondiffracting ("soliton-like") and
self-reconstructing solutions to the wave equations, and are known to exist
with subluminal, luminal and superluminal peak-velocities. The most studied
ones are the "X-shaped" superluminal waves; which are associated with a cone,
so that some authors [e.g., Walker and Kuperman, PRL 99 (Dec.2007) 244802] have
been tempted to link them with Cherenkov radiation. However, the "X-waves"
belong to a different realm, and exist even in the vacuum, independently of any
media, as verified in a number of papers [listed e.g. in "Localized Waves"
(J.Wiley; Jan.2008)]. We want to clarify the whole question on the basis of
rigorous formalism and clear physical considerations. In particular, by
explicit calculations based on Maxwell equations only, we show that: (i) the
X-waves exist also inside both the front and the rear part of their double cone
(that has nothing to do with Cherenkov's); (ii) they are to be found not via ad
hoc assumptions, but by use of strict mathematical (or experimental)
procedures; (iii) the ideal X-waves possess infinite energy, but finite-energy
X-waves can be easily constructed (even without space-time truncations): And we
do construct exact finite-energy solutions (totally free from
backward-traveling waves); (iv) an actual attempt at comparing Cherenkov
radiation with X-waves would lead one to consider the very different situation
of the (X-shaped, too) field generated by a superluminal point-charge, a
question exploited in previous papers [Recami et al., PRE 69 (2004) 027602]: We
show explicitly, here, that the point-charge would not lose energy in the
vacuum, and its field would not need to be continuously feeded by incoming
side-waves (as it is the case, indeed, for an ideal, ordinary X-wave).


title: Algorithms for computing multiplier ideals

abstract:
  We give algorithms for computing multiplier ideals using Gr\"obner bases in
Weyl algebras. The algorithms are based on a newly introduced notion which is a
variant of Budur--Musta\c{t}\v{a}--Saito's (generalized) Bernstein--Sato
polynomial. We present several examples computed by our algorithms.


title:
Improving the dE/dx calibration of the STAR TPC for the high-pT hadron
  identification

abstract:
  We derive a method to improve particle identification (PID) at high
transverse momentum ($p_T$) using the relativistic rise of the ionization
energy loss ($rdE/dx$) when charged particles traverse the Time Projection
Chamber (TPC) at STAR. Electrons triggered and identified by the Barrel
Electro-Magnetic Calorimeter (BEMC), pure protons and pions from $\Lambda\to
p+\pi^{-}$ ($\bar{\Lambda}\to \bar{p}+\pi^{+}$), and
$K^{0}_{S}\to\pi^{+}+\pi^{-}$ decays are used to obtain the $dE/dx$ value and
its width at given $\beta\gamma=p/m$. We found that the deviation of the
$dE/dx$ from the Bichsel function can be up to $0.4\sigma$ ($\sim3%$) in p+p
collisions at $\sqrt{s_{NN}}=200$ GeV taken and subsequently calibrated in year
2005. The deviation is approximately a function of $\beta\gamma$ independent of
particle species and can be described with a function of $f(x) =
A+\frac{B}{C+x^{2}}$. The deviations obtained with this method are used to
re-calibrate the data sample from p+p collision for physics analysis of
identified hadron spectra and their correlations up to transverse momentum of
15 GeV/$c$. The ratio of $e^{-}/e^{+}$ (dominantly from $\gamma$-conversion) is
also used to correct the residual asymmetry in the negative and positive
charged hadrons due to momentun distortion in the STAR TPC.


title: A litmus test for Lambda

abstract:
  The critical issue in cosmology today lies in determining if the cosmological
constant is the underlying ingredient of dark energy. Our profound lack of
understanding of the physics of dark energy places severe constrains on our
ability to say anything about its possible dynamical nature. Quoted errors on
the equation of state, w(z), are so heavily dependent on necessarily
over-simplified parameterisations they are at risk of being rendered
meaningless. Moreover, the existence of degeneracies between the reconstructed
w(z) and the matter and curvature densities weakens any conclusions still
further. We propose consistency tests for the cosmological constant which
provide a direct observational signal if Lambda is wrong, regardless of the
densities of matter and curvature. As an example of its utility, our flat case
test can warn of a small transition from w(z)=-1 of 20% from SNAP quality data
at 4-sigma, even when direct reconstruction techniques see virtually no
evidence for deviation from Lambda. It is shown to successfully rule out a wide
range of non-Lambda dark energy models with no reliance on knowledge of Omega_m
using SNAP-quality data and a large range for using 10^5 supernovae as
forecasted for LSST.


title: Measurements of Vector Bosons Produced in Association with Jets

abstract:
  The latest D0 and CDF measurements of the important $W+{\rm jets}$ and
$Z/\gamma^{*}+{\rm jets}$ processes are described, along with a discussion of
the comparisons that have been made to LO and NLO perturbative QCD predictions.


title: A-graded methods for monomial ideals

abstract:
  We use \ZZ^d-gradings to study d-dimensional monomial ideals. The Koszul
functor is employed to interpret the quasidegrees of local cohomology in terms
of the geometry of distractions and to explicitly compute the multiplicities of
exponents. These multigraded techniques originate from the study of
hypergeometric systems of differential equations.


title:
Derivation of Effective Evolution Equations from Microscopic Quantum
  Dynamics

abstract:
  In these lecture notes we discuss recent progress in the rigorous derivation
of effective evolution equations for the description of the dynamics of quantum
mechanical many-body systems.


title:
Singularities in positive characteristic, stratification and
  simplification of the singular locus

abstract:
  We introduce an upper semi-continuous function that stratifies the highest
multiplicity locus of a hypersurface in arbitrary characteristic (over a
perfect field). The blow-up along the maximum stratum defined by this function
leads to a form of simplification of the singularities, also known as a
reduction to the monomial case.


title:
Array Based Java Source Code Obfuscation Using Classes with Restructured
  Arrays

abstract:
  Array restructuring operations obscure arrays. Our work aims on java source
code obfuscation containing arrays. Our main proposal is Classes with
restructured array members and obscured member methods for setting, getting
array elements and to get the length of arrays. The class method definition
codes are obscured through index transformation and constant hiding. The
instantiated objects of these classes are used for source code writing. A tool
named JDATATRANS is developed for generating classes and to the best of our
knowledge this is the first tool available for array restructuring, on java
source codes.


title:
Absence of Normalizable Time-periodic Solutions for The Dirac Equation
  in Kerr-Newman-dS Black Hole Background

abstract:
  We consider the Dirac equation on the background of a Kerr-Newman-de Sitter
black hole. By performing variable separation, we show that there exists no
time-periodic and normalizable solution of the Dirac equation. This conclusion
holds true even in the extremal case. With respect to previously considered
cases, the novelty is represented by the presence, together with a black hole
event horizon, of a cosmological (non degenerate) event horizon, which is at
the root of the possibility to draw a conclusion on the aforementioned topic in
a straightforward way even in the extremal case.


title:
Exact solutions to the compressible Navier-Stokes equations with the
  Coriolis and friction terms

abstract:
  We consider special solution to the 3D compressible Navier-Stokes system with
and without the Coriolis force and dry friction and find the respective initial
data implying a finite time gradient catastrophe.


title:
Density functional study of FeS, FeSe and FeTe: Electronic structure,
  magnetism, phonons and superconductivity

abstract:
  We report density functional calculations of the electronic structure, Fermi
surface, phonon spectrum, magnetism and electron-phonon coupling for the
superconducting phase FeSe, as well as the related compounds FeS and FeTe. We
find that the Fermi surface structure of these compounds is very similar to
that of the Fe-As based superconductors, with cylindrical electron sections at
the zone corner, cylindrical hole surface sections, and depending on the
compound, other small hole sections at the zone center. As in the Fe-As based
materials, these surfaces are separated by a 2D nesting vector at
($\pi$,$\pi$). The density of states, nesting and Fermi surface size increase
going from FeSe to FeTe. Both FeSe and FeTe show spin density wave ground
states, while FeS is close to an instability. In a scenario where
superconductivity is mediated by spin fluctuations at the SDW nesting vector,
the strongest superconductor in this series would be doped FeTe.


title: Unified origin of baryons and dark matter

abstract:
  We investigate the possibility that both the baryon asymmetry of the universe
and the observed cold dark matter density are generated by decays of a heavy
scalar field which dominates the universe before nucleosynthesis. Since baryons
and cold dark matter have common origin, this mechanism yields a natural
explanation of the similarity of the corresponding energy densities. The
cosmological moduli and gravitino problems are avoided.


title: Gibbs Paradox and Similarity Principle

abstract:
  As no heat effect and mechanical work are observed, we have a simple
experimental resolution of the Gibbs paradox: both the thermodynamic entropy of
mixing and the Gibbs free energy change are zero during the formation of any
ideal mixtures. Information loss is the driving force of these spontaneous
processes. Information is defined as the amount of the compressed data.
Information losses due to dynamic motion and static symmetric structure
formation are defined as two kinds of entropies - dynamic entropy and static
entropy, respectively. There are three laws of information theory, where the
first and the second laws are analogs of the two thermodynamic laws. However,
the third law of information theory is different: for a solid structure of
perfect symmetry (e.g., a perfect crystal), the entropy (static entropy for
solid state) S is the maximum. More generally, a similarity principle is set
up: if all the other conditions remain constant, the higher the similarity
among the components is, the higher the value of entropy of the mixture (for
fluid phases) or the assemblage (for a static structure or a system of
condensed phases) or any other structure (such as quantum states in quantum
mechanics) will be, the more stable the mixture or the assemblage will be, and
the more spontaneous the process leading to such a mixture or an assemblage or
a chemical bond will be.


title: Superconductivity at 27 K in tetragonal FeSe under high pressure

abstract:
  A huge enhancement of the superconducting transition temperature Tc was
observed in tetragonal FeSe superconductor under high pressure. The onset
temperature became as high as 27 K at 1.48 GPa and the pressure coefficient
showed a huge value of 9.1 K/GPa. The upper critical field Hc2 was estimated to
be ~ 72 T at 1.48 GPa. Because of the high Hc2, FeSe system may be a candidate
for application as superconducting wire rods. Moreover, the investigation of
superconductivity on simple structured FeSe may provide important clues to the
mechanism of superconductivity in iron-based superconductors.


title:
Complete description of derivations on $\tau$-compact operators for type
  I von Neumann algebras

abstract:
  Given a type I von Neumann algebra $M$ with a faithful normal semi-finite
trace $\tau,$ let $S_0(M, \tau)$ be the algebra of all $\tau$-compact operators
affiliated with $M.$ We give a complete description of all derivations on the
algebra $S_0(M, \tau).$ In particular, we prove that if $M$ is of type
I$_\infty$ then every derivation on $S_0(M, \tau)$ is spatial.


title: Thermal history of the plasma and high-frequency gravitons

abstract:
  Possible deviations from a radiation-dominated evolution, occurring prior the
synthesis of light nuclei, impacted on the spectral energy density of
high-frequency gravitons. For a systematic scrutiny of this situation, the
$\Lambda$CDM paradigm must be complemented by (at least two) physical
parameters describing, respectively, a threshold frequency and a slope. The
supplementary frequency scale sets the lower border of a high-frequency domain
where the spectral energy grows with a slope which depends, predominantly, upon
the total sound speed of the plasma right after inflation. While the infra-red
region of the graviton energy spectrum is nearly scale-invariant, the expected
signals for typical frequencies larger than 0.01 nHz are hereby analyzed in a
model-independent framework by requiring that the total sound speed of the
post-inflationary plasma be smaller than the speed of light. Current (e.g.
low-frequency) upper limits on the tensor power spectra (determined from the
combined analysis of the three large-scale data sets) are shown to be
compatible with a detectable signal in the frequency range of wide-band
interferometers. In the present context, the scrutiny of the early evolution of
the sound speed of the plasma can then be mapped onto a reliable strategy of
parameter extraction including not only the well established cosmological
observables but also the forthcoming data from wide band interferometers.


title: On multiplicative congruences

abstract:
  Let $\epsilon$ be a fixed positive quantity, $m$ be a large integer, $x_j$
denote integer variables. We prove that for any positive integers $N_1,N_2,N_3$
with $N_1N_2N_3>m^{1+\epsilon},$ the set $$ \{x_1x_2x_3 \pmod m: \quad x_j\in
[1,N_j] \} $$ contains almost all the residue classes modulo $m$ (i.e., its
cardinality is equal to $m+o(m)$). We further show that if $m$ is cubefree,
then for any positive integers $N_1,N_2,N_3,N_4$ with
$N_1N_2N_3N_4>m^{1+\epsilon},$ the set $$ \{x_1x_2x_3x_4 \pmod m: \quad x_j\in
[1,N_j] \} $$ also contains almost all the residue classes modulo $m.$
  Let $p$ be a large prime parameter and let $p>N>p^{63/76+\epsilon}.$ We prove
that for any nonzero integer constant $k$ and any integer $\lambda\not\equiv
0\pmod p$ the congruence $$ p_1p_2(p_3+k)\equiv \lambda\pmod p $$ admits
$(1+o(1))\pi(N)^3/p$ solutions in prime numbers $p_1, p_2, p_3\le N.$


title:
Schwinger Mechanism for Gluon Pair Production in the Presence of
  Arbitrary Time Dependent Chromo-Electric Field in Arbitrary Gauge

abstract:
  We study non-perturbative gluon pair production from arbitrary time dependent
chromo-electric field E^a(t) with arbitrary color index a =1,2,...8 via
Schwinger mechanism in arbitrary covariant background gauge \alpha. We show
that the probability of non-perturbative gluon pair production per unit time
per unit volume per unit transverse momentum \frac{dW}{d^4xd^2p_T} is
independent of gauge fixing parameter \alpha. Hence the result obtained in the
Fynman-'t Hooft gauge, \alpha=1, is the correct gauge invariant and gauge
parameter \alpha independent result.


title: A Brief History of Future Set Theory

abstract:
  Mathematicians still use Naive Set Theory when generating sets without danger
of producing any contradiction. Therefore their working method can be
considered as a consistent inference system with an experience of over 100
years. My conjecture is that this method works well because mathematicians use
only those predicates to form sets, which yield closed hereditary consistent
predicate extensions. And for every open formula they use in the process of
constructing of a certain (special) set (bottom up), we can always find an
"almost-closed" formula (i.e. a parameter-free formula with only the free
variable "x") which yields the same certain (special) set as predicate
extension as constructed in the bottom up process before. Therefore the use of
predicates with free parameters in the Comprehension Scheme does not cause any
difficulties and can be "lifted" by meta-mathematical considerations.
  KEYWORDS: naive set theory, Quine, new foundation, NF, universal sets,
comprehension schema, predicate extension, philosophy of set theory, Zermelo,
Fraenkel, ZF, complement. CT is the Class-Theoretical frame: logic + "=" +
Church Schema + Extensionality Axiom.


title: The Notion "Pathology" in Set Theory

abstract:
  When we study the paradoxes of set theory we find out that there are mainly 2
types: the pathologies and the antinomies. These 2 notions are made precise and
compared with the somehow inductively definable concept "abnormal". (See my
paper "Naive Axiomatic Mengenlehre for Experiments" in arXiv.) In the following
5 Patho Theses are discussed in order to formalize this notion of pathology.
This allows us to define formally the property "Hereditary-non-Pathological"
for well-formed formulas. With this property the system NACT* of Naive
Axiomatic Class Theory is constructed, which has a "unique maximal" universe
(in a special sense).


title: Carnot in the Information Age: Discrete Symmetric Channels

abstract:
  Modeling communication channels as thermal systems results in Hamiltonians
which are an explicit function of the temperature. The first two authors have
recently generalized the second thermodynamic law to encompass systems with
temperature-dependent energy levels, $dQ=TdS+<d\mathcal{E}/dT>dT$, where
{$<\cdot>$} denotes averaging over the Boltzmann distribution, recomputing the
mutual information and other main properties of the popular Gaussian channel.
Here the mutual information for the binary symmetric channel as well as for the
discrete symmetric channel consisting of 4 input/output (I/O) symbols is
explicitly calculated using the generalized second law of thermodynamics. For
equiprobable I/O the mutual information of the examined channels has a very
simple form, -$\gamma U(\gamma)|_0^\beta$, where $U$ denotes the internal
energy of the channel. We prove that this simple form of the mutual information
governs the class of discrete memoryless symmetric communication channels with
equiprobable I/O symbols.


title:
On the Difference in Statistical Behavior Between Astrometric and
  Radial-Velocity Planet Detections

abstract:
  Astrometric and radial-velocity planet detections track very similar motions,
and one generally expects that the statistical properties of the detections
would also be similar after they are scaled to the signal-to-noise ratio of the
underlying observations. I show that this expectation is realized for periods
small compared to the duration of the experiment P/T << 1, but not when P/T >~
1. At longer periods, the fact that models of astrometric observations must
take account of an extra nuisance parameter causes the mass error to begin
deteriorating at P/T ~ 0.8, as compared to P/T ~ 1.0 for RV. Moreover, the
deterioration is much less graceful. This qualitative difference carries over
to the more complicated case in which the planet is being monitored in the
presence of a distant companion that generates an approximately uniform
acceleration. The period errors begin deteriorating somewhat earlier in all
cases, but the situation is qualitatively similar to that of the mass errors.
These results imply that to preserve astrometric discovery space at the longest
accessible orbits (which nominally have the lowest-mass sensitivity) requires
supplementary observations to identify or rule out distant companions that
could contribute quasi-uniform acceleration.


title:
Naive Axiomatic Class Theory: A Solution for the Antinomies of Naive
  Mengenlehre

abstract:
  Since the axioms in (Consi-CoS) are not recursively enumerable, NACT* is no
axiom system in the classical sense . Therefore we construct a series of
partial systems which form a recursive axiom system too. Starting with the
"dichotomic" systems NACT# and its variant NACT#4, we are going on to the
"disjunctive" systems NACT+ and NACT+4, and eventually to NACT+Strat. After
that we discuss the medium classes of these systems. Finally we present the
inconsistent NSA-systems based on Not-SelfApplicability and explain their help
for computational set theory.


title: Schroedinger-like PageRank equation and localization in the WWW

abstract:
  The WorldWide Web is one of the most important communication systems we use
in our everyday life. Despite its central role, the growth and the development
of the WWW is not controlled by any central authority. This situation has
created a huge ensemble of connections whose complexity can be fruitfully
described and quantified by network theory. One important application that
allows to sort out the information present in these connections is given by the
PageRank alghorithm. Computation of this quantity is usually made iteratively
with a large use of computational time. In this paper we show that the PageRank
can be expressed in terms of a wave function obeying a Schroedinger-like
equation. In particular the topological disorder given by the unbalance of
outgoing and ingoing links between pages, induces wave function and potential
structuring. This allows to directly localize the pages with the largest score.
Through this new representation we can now compute the PageRank without
iterative techniques. For most of the cases of interest our method is faster
than the original one. Our results also clarify the role of topology in the
diffusion of information within complex networks. The whole approach opens the
possibility to novel techniques inspired by quantum physics for the analysis of
the WWW properties.

categories: physics.soc-ph cond-mat.stat-mech cs.IR physics.data-an


title: On the random satisfiable process

abstract:
  In this work we suggest a new model for generating random satisfiable k-CNF
formulas. To generate such formulas -- randomly permute all 2^k\binom{n}{k}
possible clauses over the variables x_1, ..., x_n, and starting from the empty
formula, go over the clauses one by one, including each new clause as you go
along if after its addition the formula remains satisfiable. We study the
evolution of this process, namely the distribution over formulas obtained after
scanning through the first m clauses (in the random permutation's order).
  Random processes with conditioning on a certain property being respected are
widely studied in the context of graph properties. This study was pioneered by
Ruci\'nski and Wormald in 1992 for graphs with a fixed degree sequence, and
also by Erd\H{o}s, Suen, and Winkler in 1995 for triangle-free and bipartite
graphs. Since then many other graph properties were studied such as planarity
and H-freeness. Thus our model is a natural extension of this approach to the
satisfiability setting.
  Our main contribution is as follows. For m \geq cn, c=c(k) a sufficiently
large constant, we are able to characterize the structure of the solution space
of a typical formula in this distribution. Specifically, we show that typically
all satisfying assignments are essentially clustered in one cluster, and all
but e^{-\Omega(m/n)} n of the variables take the same value in all satisfying
assignments. We also describe a polynomial time algorithm that finds with high
probability a satisfying assignment for such formulas.


title: Naive Axiomatic Mengenlehre for Experiments

abstract:
  The main goal of "Naive Axiomatic Mengenlehre" (NAM) is to find a more or
less adequately explicit criterion that precisely formalizes the intuitive
notion of a "normal set". NAM is mainly a construction procedure for building
several formal systems NAMix, each of which can turn out to be an adequate
codification of the contentual naive set theory. ("i" is a natural number which
enumerates the used "normality" condition, and "x" is a letter which points to
the variants of the used axioms.) Parallel to NAM, the Naive Axiomatic Class
Theory NACT is constructed as a system of systems too.


title: Narrow superconducting window in Ni-doped LaFeAsO

abstract:
  We have studied Ni-substitution effect in LaFe$_{1-x}$Ni$_{x}$AsO ($0\leq x
\leq0.1$) by the measurements of x-ray diffraction, electrical resistivity,
magnetic susceptibility, and heat capacity. The nickel doping drastically
suppresses the resistivity anomaly associated with spin-density-wave ordering
in the parent compound. Superconductivity emerges in a narrow region of
$0.03\leq x \leq0.06$ with the maximum $T_c$ of 6.5 K at $x$=0.04, where
enhanced magnetic susceptibility shows up. The upper critical field at zero
temperature is estimated to exceed the Pauli paramagnetic limit. The much
lowered $T_c$ in comparison with LaFeAsO$_{1-x}$F$_{x}$ system is discussed.


title: Can the PVLAS particle be compatible with the astrophysical bounds?

abstract:
  The PVLAS collaboration has announced recently the observation dichroism and
birefringence of vacuum permeated by a intense magnetic field. Both are typical
predictions of the existence of light particles that, as the QCD axion,
interact with the electromagnetic field. The strength of the interaction as
inferred from the PVLAS measurements is however strongly excluded by
astrophysical arguments and axion Helioscopes since these particles, as
neutrinos, would be copiously produced in the interior of the Sun. In this
Thesis several refined models are presented where the astrophysical bounds are
severely relaxed, allowing the PVLAS particle interpretation. All these models
involve the existence of further new particles, in particular paraphotons and
millicharged particles. Also a model-independent study is performed, showing
that the reconciliation of the PVLAS particle interpretation implies new low
energy physics, usually accessible to precision experiments. Finally, if the
PVLAS particle would be parity even, the strongest exclusion bounds would come,
not from astrophysics, but from experiments searching for 5th type forces.


title:
Estimates of the norms of the Toeplitz operators of H determined by
  rational inner functions

abstract:
  An elementary method is given for estimates of the norms of the Toeplitz
operators, determined by rational inner functions


title: The FRII Broad Line Seyfert 1 Galaxy: PKSJ 1037-2705

abstract:
  In this article, we demonstrate that PKSJ 1037-2705 has a weak accretion flow
luminosity, well below the Seyfert1/QSO dividing line, weak broad emission
lines (BELs) and moderately powerful FRII extended radio emission. It is one of
the few documented examples of a broad-line object in which the time averaged
jet kinetic luminosity, $\bar{Q}$, is larger than the total thermal luminosity
(IR to X-ray) of the accretion flow, $L_{bol}$. The blazar nucleus dominates
the optical and near ultraviolet emission and is a strong source of hard
X-rays. The strong blazar emission indicates that the relativistic radio jet is
presently active. The implication is that even weakly accreting AGN can create
powerful jets. Kinetically dominated ($\bar{Q}>L_{bol}$) broad-line objects
provide important constraints on the relationship between the accretion flow
and the jet production mechanism.


title:
Generalized ABC theorems for non-Archimedean entire functions of several
  variables in arbitrary characteristic

abstract:
  We prove generalized ABC theorems for vanishing sums of non-Archimedean
entire functions of several variables in arbitrary characteristic.


title: Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions

abstract:
  We discuss the influence of different initial conditions for the stress
tensor and the effect of bulk viscosity on the expansion and cooling of the
fireball created in relativistic heavy-ion collisions. In particular, we
explore the evolution of longitudinal and transverse components of the pressure
and the extent of dissipative entropy production in the one-dimensional,
boost-invariant hydrodynamic model. We find that a bulk viscosity consistent
with recent estimates from lattice QCD further slows the equilibration of the
system, however it does not significantly increase the entropy produced.


title: Topological classification of generalized Bott towers

abstract:
  If $B$ is a toric manifold and $E$ is a Whitney sum of complex line bundles
over $B$, then the projectivization $P(E)$ of $E$ is again a toric manifold.
Starting with $B$ as a point and repeating this construction, we obtain a
sequence of complex projective bundles which we call a generalized Bott tower.
We prove that if the top manifold in the tower has the same cohomology ring as
a product of complex projective spaces, then every fibration in the tower is
trivial so that the top manifold is diffeomorphic to the product of complex
projective spaces. This gives a supporting evidence to what we call
cohomological rigidity problem for toric manifolds "Are toric manifolds
diffeomorphic (or homeomorphic) if their cohomology rings are isomorphic?" We
provide two more results which support the cohomological rigidity problem.


title:
Rubidium resonant squeezed light from a diode-pumped optical-parametric
  oscillator

abstract:
  We demonstrate a diode-laser-pumped system for generation of quadrature
squeezing and polarization squeezing. Due to their excess phase noise, diode
lasers are challenging to use in phase-sensitive quantum optics experiments
such as quadrature squeezing. The system we present overcomes the phase noise
of the diode laser through a combination of active stabilization and
appropriate delays in the local oscillator beam. The generated light is
resonant to the rubidium D1 transition at 795nm and thus can be readily used
for quantum memory experiments.


title: Penalising symmetric stable L\'evy paths

abstract:
  Limit theorems for the normalized laws with respect to two kinds of weight
functionals are studied for any symmetric stable L\'evy process of index $ 1 <
\alpha \le 2 $. The first kind is a function of the local time at the origin,
and the second kind is the exponential of an occupation time integral. Special
emphasis is put on the role played by a stable L\'evy counterpart of the
universal $ \sigma $-finite measure, found in [9] and [10], which unifies the
corresponding limit theorems in the Brownian setup for which $ \alpha =2 $.


title:
Interaction between Truth and Belief as the key to entropy and other
  quantities of statistical physics

abstract:
  The notion of entropy penetrates much of science. A key feature of the
all-important notion of Boltzmann-Gibbs-Shannon entropy is its extensivity
(additivity over independent subsystems). However, there is a need for other
quantities. In statistical physics a parameterized family of non-extensive
entropy measures, now mainly known under the name of Tsallis-entropies, have
received much attention but also been met with criticism due mainly to a lack
of convincing interpretations. Based on the hypothesis that interaction between
Truth, held by ``Nature'', and Belief, as expressed by man, may take place,
classical- as well as non-classical measures of entropy and other essential
quantities are derived. The approach aims at providing a genuine
interpretation, rather than relying either on analogies based on formal
mathematical manipulations or else - more fruitfully, but not satisfactory - on
axiomatic characterizations.


title: On squashed black holes in Godel universes

abstract:
  We investigate five-dimensional rotating and charged black holes with
squashed horizons in Godel universes. The general solution was recently derived
by applying a squashing transformation on the general non-extremal charged and
rotating black hole in the Godel universe found by Wu. We give a discussion of
the squashed geometry and also consider its lift to ten dimensions and discuss
the T-dual geometry. Finally, using the counterterms method we compute its
conserved charges and explore its thermodynamics.


title:
On the spectrum and Lyapunov exponent of limit periodic Schrodinger
  operators

abstract:
  We exhibit a dense set of limit periodic potentials for which the
corresponding one-dimensional Schr\"odinger operator has a positive Lyapunov
exponent for all energies and a spectrum of zero Lebesgue measure. No example
with those properties was previously known, even in the larger class of ergodic
potentials. We also conclude that the generic limit periodic potential has a
spectrum of zero Lebesgue measure.


title: Magnetic Flux Loss and Flux Transport in a Decaying Active Region

abstract:
  We estimate the temporal change of magnetic flux perpendicular to the solar
surface in a decaying active region by using a time series of the spatial
distribution of vector magnetic fields in the photosphere. The vector magnetic
fields are derived from full spectropolarimetric measurements with the Solar
Optical Telescope aboard Hinode. We compare a magnetic flux loss rate to a flux
transport rate in a decaying sunspot and its surrounding moat region. The
amount of magnetic flux that decreases in the sunspot and moat region is very
similar to magnetic flux transported to the outer boundary of the moat region.
The flux loss rates [$(dF/dt)_{loss}$] of magnetic elements with positive and
negative polarities are balanced each other around the outer boundary of the
moat region. These results suggest that most of the magnetic flux in the
sunspot is transported to the outer boundary of the moat region as moving
magnetic features, and then removed from the photosphere by flux cancellation
around the outer boundary of the moat region.


title:
Infinitely generated free nilpotent groups: completeness of the
  automorphism groups

abstract:
  Baumslag conjectured in the 1970s that the automorphism tower of a finitely
generated free nilpotent group must be very short.
  Let F_{n,c} denote a free nilpotent group of finite rank n at least two and
of nilpotency class c at least two. In 1976 Dyer and Formanek proved that the
automorphism group of F_{n,2} is even complete (and hence the height of the
aumorphism tower of F_{n,2} is two) provided that n is not three; in the case
when n=3, the height of the automorphism tower of F_{n,2} is three. The author
proved in 2001 that the automorphism group of any infinitely generated free
nilpotent of class two is complete.
  In his Ph. D. thesis (2003) Kassabov found an upper bound u(n,c) (a natural
number) for the height of the automorphism tower of F_{n,c} in terms of n and
c, thereby finally proving Baumslag's conjecture. By analyzing the function
u(n,c), one can conclude that if c is small compared to n, then the height of
the automorphism tower of F_{n,c} is at most three.
  The main result of the present paper states that the automorphism group of
any infinitely generated free nilpotent group of nilpotency class at least two
is complete. Thus the automorphism tower of any free nilpotent group terminates
after finitely many steps.


title:
Discussing Cosmic String Configurations in a Supersymmetric Scenario
  without Lorentz Invariance

abstract:
  The main goal of this work is to pursue an investigation of cosmic string
configurations focusing on possible consequences of the Lorentz-symmetry
breaking by a background vector. We analyze the possibility of cosmic strings
as a viable source for fermionic Cold Dark Matter particles. Whenever the
latter are charged and have mass of the order of $10^{13}GeV$, we propose they
could decay into usual cosmic rays. We have also contemplated the sector of
neutral particles generated in our model. Indeed, being neutral, these
particles are hard to be detected; however, by virtue of the Lorentz-symmetry
breaking background vector, it is possible that they may present an
electromagnetic interaction with a significant magnetic moment.


title: The automorphism groups of relatively free groups of infinite rank

abstract:
  A survey article that presents some recent algebraic and model-theoretic
results on the automorphism groups of relatively free groups of infinite rank.
The topics include topological aspects, generating sets, descripition of
automorpisms and expressive power of the first-order theories.


title: Mechanisms of Size Control and Polymorphism in Viral Capsid Assembly

abstract:
  We simulate the assembly dynamics of icosahedral capsids from subunits that
interconvert between different conformations (or quasi-equivalent states). The
simulations identify mechanisms by which subunits form empty capsids with only
one morphology but adaptively assemble into different icosahedral morphologies
around nanoparticle cargoes with varying sizes, as seen in recent experiments
with brome mosaic virus (BMV) capsid proteins. Adaptive cargo encapsidation
requires moderate cargo-subunit interaction strengths; stronger interactions
frustrate assembly by stabilizing intermediates with incommensurate curvature.
We compare simulation results to experiments with cowpea chlorotic mottle virus
empty capsids and BMV capsids assembled on functionalized nanoparticles and
suggest new cargo encapsidation experiments. Finally, we find that both empty
and templated capsids maintain the precise spatial ordering of subunit
conformations seen in the crystal structure even if interactions that preserve
this arrangement are favored by as little as the thermal energy, consistent
with experimental observations that different subunit conformations are highly
similar.


title: Avoider robot design to dim the fire with dt basic mini system

abstract:
  Avoider robot is mean robot who is designed to avoid the block in around.
Except that, this robot is also added by an addition application to dim the
fire. This robot is made with ultrasonic sensor PING. This sensor is set on the
front, right and left from robot. This sensor is used robot to look for the
right street, so that robot can walk on. After the robot can look for the right
street, next accomplished the robot is looking for the fire in around. And the
next, dim the fire with fan. This robot is made with basic stamp 2
micro-controller. And that micro-controller can be found in dt-basic mini
system module. This robot is made with servo motor on the right and left side,
which is used to movement.


title:
Finitely presented groups and homotopy of presentations of triangular
  algebras

abstract:
  Given any finitely presented group G we find a triangular algebra such that
has two presentations, one with fundamental group G and another with trivial
group. Thus proving that given a collection G1,...,Gn of finitely presented
groups there exist a triangular algebra A such that all Gi appear as
fundamental group of some presentation of A, extending one of the result in
arXiv:math/0405127v3 [math.RA]


title:
High-Frequency Properties of a Graphene Nanoribbon Field-Effect
  Transistor

abstract:
  We propose an analytical device model for a graphene nanoribbon field-effect
transistor (GNR-FET). The GNR-FET under consideration is based on a
heterostructure which consists of an array of nanoribbons clad between the
highly conducting substrate (the back gate) and the top gate controlling the dc
and ac source-drain currents. Using the model developed, we derive explicit
analytical formulas for the GNR-FET transconductance as a function of the
signal frequency, collision frequency of electrons, and the top gate length.
The transition from the ballistic and to strongly collisional electron
transport is considered.


title: Multivariable spectral multipliers and quasielliptic operators

abstract:
  We study multivariable spectral multipliers $F(L_1,L_2)$ acting on Cartesian
product of ambient spaces of two self-adjoint operators $L_1$ and $L_2$. We
prove that if $F$ satisfies H\"ormander type differentiability condition then
the operator $F(L_1,L_2)$ is of Calder\'on-Zygmund type. We apply obtained
results to the analysis of quasielliptic operators acting on product of some
fractal spaces. The existence and surprising properties of quasielliptic
operators have been recently observed in works of Bockelman, Drenning and
Strichartz. This paper demonstrates that Riesz type operators corresponding to
quasielliptic operators are continuous on $L^p$ spaces.


title: The Riccati Differential Equation and a Diffusion-Type Equation

abstract:
  We construct an explicit solution of the Cauchy initial value problem for
certain diffusion-type equations with variable coefficients on the entire real
line. The corresponding Green function (heat kernel) is given in terms of
elementary functions and certain integrals involving a characteristic function,
which should be found as an analytic or numerical solution of the second order
linear differential equation with time-dependent coefficients. Some special and
limiting cases are outlined. Solution of the corresponding non-homogeneous
equation is also found.


title: A note on the Bruhat decomposition of semisimple Lie groups

abstract:
  Let a split element of a connected semisimple Lie group act on one of its
flag manifolds. We prove that each connected set of fixed points of this action
is itself a flag manifold. With this we can obtain the generalized Bruhat
decomposition of a semisimple Lie group by entirely dynamical arguments.


title:
Nature of Magnetic Interactions and Inelastic Neutron Scattering as a
  Probe of Magnetic Excitations in Iron-Pnictide Superconductors

abstract:
  This submission has been withdrawn by the arXiv admins because it is an
abstract only, which is against arXiv policy.


title: Reconstruction of the isocurvaton scenario

abstract: This paper has been withdrawn by the authors due to an unlikely results.


title: Shear Viscosity of the outer crust of Neutron stars: Ion Contribution

abstract:
  The shear viscosity of the crust might have a damping effect on the amplitude
of r-modes of rotating neutron stars. This damping has implications for the
emission of gravitational waves. We calculate the contribution to the shear
viscosity coming from the ions using both semi-analytical methods, that
consider binary collisions, and Molecular Dynamics simulations. We compare
these results with the contribution coming from electrons. We study how the
shear viscosity depends on density for conditions of interest in neutron star
envelopes and outer crusts. In the low density limit, we find good agreement
between results of our molecular dynamics simulations and classical
semi-analytic calculations.


title: Low loss, low dispersion and highly birefringent terahertz porous fibers

abstract:
  We demonstrate that porous fibers have low effective material loss over an
extended frequency range, 4.5 times larger bandwidth than that can be achieved
in sub-wavelength solid core fibers. We also show that these new fibers can be
designed to have near zero dispersion for 0.5-1 THz resulting to overall less
terahertz signal degradation. In addition, it is demonstrated that the use of
asymmetrical sub-wavelength air-holes within the core leads to high
birefringence ~0.026. This opens up the potential for realization of novel
polarization preserving fibers in the terahertz regime.


title: Exact gravitational lensing by cosmic strings with junctions

abstract:
  We point out that the results by Brandenberger et al. in
Phys.Rev.D77:083502(2008) that the geometry around the straight cosmic strings
with stationary junctions is flat to linear order in the string tension can be
immediately extended to any order.


title:
Loss of Spin Entanglement For Accelerated Electrons in Electric and
  Magnetic Fields

abstract:
  Using an open quantum system we calculate the time dependence of the
concurrence between two maximally entangled electron spins with one accelerated
uniformly in the presence of a constant magnetic field and the other at rest
and isolated from fields. We find at high Rindler temperature the proper time
for the entanglement to be extinguished is proportional to the inverse of the
acceleration cubed.


title:
Anomalous training effect of perpendicular exchange bias in
  Pt/Co/Pt/IrMn multilayers

abstract:
  A new characteristic is observed in the training effect of perpendicular
exchange bias. For Pt/Co/Pt/IrMn multilayers with perpendicular magnetic
anisotropy, the magnetization reversal process is accompanied by pinned domain
wall motion and the asymmetry of hysteresis loop is always equal to zero during
subsequent measurements. It is interesting to find that the exchange field
decreases greatly as a function of the cycling number while the coercivity
almost does not change. It is clearly demonstrated that the training effect of
perpendicular exchange bias strongly depends on the magnetization reversal
mechanism of the ferromagnetic layer.


title:
Calculating free energy profiles in biomolecular systems from fast
  non-equilibrium processes

abstract:
  Often gaining insight into the functioning of biomolecular systems requires
to follow their dynamics along a microscopic reaction coordinate (RC) on a
macroscopic time scale, which is beyond the reach of current all atom molecular
dynamics (MD) simulations. A practical approach to this inherently multiscale
problem is to model the system as a fictitious overdamped Brownian particle
that diffuses along the RC in the presence of an effective potential of mean
force (PMF) due to the rest of the system. By employing the recently proposed
FR method [I. Kosztin et al., J. of Chem. Phys. 124, 064106 (2006)], which
requires only a small number of fast nonequilibrium MD simulations of the
system in both forward and time reversed directions along the RC, we
reconstruct the PMF: (1) of deca-alanine as a function of its end-to-end
distance, and (2) that guides the motion of potassium ions through the
gramicidin A channel. In both cases the computed PMFs are found to be in good
agreement with previous results obtained by different methods. Our approach
appears to be about one order of magnitude faster than the other PMF
calculation methods and, in addition, it also provides the position dependent
diffusion coefficient along the RC. Thus, the obtained PMF and diffusion
coefficient can be used in a suitable stochastic model to estimate important
characteristics of the studied systems, e.g., the mean folding time of the
stretched deca-alanine and the mean diffusion time of the potassium ion through
gramicidin A.


title: Electric Charge Quantization in Standard Model

abstract:
  In the framework of Standard Model for the arbitrary values of Higgs and
fermions fields hypercharges, taking into account parity invariance of
electromagnetic interaction, expressions for the fermions charges, testifying
the electric charge quantization are obtained. From the chiral anomalies
cancellation condition within one family of leptons and quarks, numerical
values of fermions charges, coinciding with standard values of charges have
been obtained.


title: Mock Tridiagonal Systems

abstract:
  We introduce the notion of a {\it mock tridiagonal system}. This is a
generalization of a tridiagonal system in which the irreducibility assumption
is replaced by a certain non-vanishing condition. We show how mock tridiagonal
systems can be used to construct tridiagonal systems that meet certain
specifications. This paper is part of our ongoing project to classify the
tridiagonal systems up to isomorphism.


title: Projectivity of modules over Fourier algebras

abstract:
  In this paper we will study the homological properties of various natural
modules associated to the Fourier algebra of a locally compact group. In
particular, we will focus on the question of identifying when such modules will
be projective in the category of operator spaces. We will show that
projectivity often implies that the underlying group is discrete and give
evidence to show that amenability also plays an important role.


title:
The Formation and Evolution of Planetary Systems: Description of the
  Spitzer Legacy Science Database

abstract:
  We present the science database produced by the Formation and Evolution of
Planetary Systems (FEPS) Spitzer Legacy program. Data reduction and validation
procedures for the IRAC, MIPS, and IRS instruments are described in detail. We
also derive stellar properties for the FEPS sample from available broad-band
photometry and spectral types, and present an algorithm to normalize Kurucz
synthetic spectra to optical and near-infrared photometry. The final FEPS data
products include IRAC and MIPS photometry for each star in the FEPS sample and
calibrated IRS spectra.


title: Dark-Matter-Induced Weak Equivalence Principle Violation

abstract:
  A long-range fifth force coupled to dark matter can induce a coupling to
ordinary matter if the dark matter interacts with Standard Model fields. We
consider constraints on such a scenario from both astrophysical observations
and laboratory experiments. We also examine the case where the dark matter is a
weakly interacting massive particle, and derive relations between the coupling
to dark matter and the coupling to ordinary matter for different models.
Currently, this scenario is most tightly constrained by galactic dynamics, but
improvements in Eotvos experiments can probe unconstrained regions of parameter
space.


title: Entanglement, randomness and chaos

abstract:
  Entanglement is not only the most intriguing feature of quantum mechanics,
but also a key resource in quantum information science. The entanglement
content of random pure quantum states is almost maximal; such states find
applications in various quantum information protocols. The preparation of a
random state or, equivalently, the implementation of a random unitary operator,
requires a number of elementary one- and two-qubit gates that is exponential in
the number n_q of qubits, thus becoming rapidly unfeasible when increasing n_q.
On the other hand, pseudo-random states approximating to the desired accuracy
the entanglement properties of true random states may be generated efficiently,
that is, polynomially in n_q. In particular, quantum chaotic maps are efficient
generators of multipartite entanglement among the qubits, close to that
expected for random states. This review discusses several aspects of the
relationship between entanglement, randomness and chaos. In particular, I will
focus on the following items: (i) the robustness of the entanglement generated
by quantum chaotic maps when taking into account the unavoidable noise sources
affecting a quantum computer; (ii) the detection of the entanglement of
high-dimensional (mixtures of) random states, an issue also related to the
question of the emergence of classicality in coarse grained quantum chaotic
dynamics; (iii) the decoherence induced by the coupling of a system to a
chaotic environment, that is, by the entanglement established between the
system and the environment.


title: Ionised carbon and galaxy activity

abstract:
  We investigate the possibility that the decrease in the relative luminosity
of the 158 micron [CII] line with the far-infrared luminosity in extragalactic
sources stems from a stronger contribution from the heated dust emission in the
more distant sources. Due to the flux limited nature of these surveys, the
luminosity of the detected objects increases with distance. However, the [CII]
luminosity does not climb as steeply as that of the far-infrared, giving the
decline in the L_[CII]/L_FIR ratio with L_FIR. Investigating this further, we
find that the [CII] luminosity exhibits similar drops as measured against the
carbon monoxide and radio continuum luminosities. The former may indicate that
at higher luminosities a larger fraction of the carbon is locked up in the form
of molecules and/or that the CO line radiation also contributes to the cooling,
done mainly by the [CII] line at low luminosities. The latter hints at
increased activity in these galaxies at greater distances, so we suggest that,
in addition to an underlying heating of the dust by a stellar population, there
is also heating of the embedded dusty torus by the ultra-violet emission from
the active nucleus, resulting in an excess in the far-infrared emission from
the more luminous objects.


title:
Stringent null constraint on cosmological evolution of the
  proton-to-electron mass ratio

abstract:
  We present a strong constraint on variation of the proton-to-electron mass
ratio, mu, over cosmological time scales using molecular hydrogen transitions
in optical quasar spectra. Using high quality spectra of quasars Q0405-443,
Q0347-383 and Q0528-250, variation in mu relative to the present day value is
limited to (Delta mu)/mu=(2.6 +/- 3.0) x 10^(-6). We reduce systematic errors
compared to previous works by substantially improving the spectral wavelength
calibration method and by fitting absorption profiles to the forest of hydrogen
Lyman alpha transitions surrounding each H_2 transition. Our results are
consistent with no variation, and inconsistent with a previous approx 4 sigma
detection of mu variation involving Q0405-443 and Q0347-383. If the results of
this work and those suggesting that alpha may be varying are both correct, then
this would tend to disfavour certain grand unification models.


title: Gravitational mass in electromagnetic field

abstract:
  A fraction of energy is theoretically predicted to be captured from
electromagnetic field to form a gravitating mass, when a low-mass charged
particle enters the strong field from a region of no electromagnetism. In this
paper the mass variation has been calculated for a charged particle on
free-fall in the constraint electromagnetic field. It has been shown that there
is an evident effect to the variation in mass when the low-mass charged
particle is in the strong field.


title: Improved Algorithms for Approximate String Matching (Extended Abstract)

abstract:
  The problem of approximate string matching is important in many different
areas such as computational biology, text processing and pattern recognition. A
great effort has been made to design efficient algorithms addressing several
variants of the problem, including comparison of two strings, approximate
pattern identification in a string or calculation of the longest common
subsequence that two strings share.
  We designed an output sensitive algorithm solving the edit distance problem
between two strings of lengths n and m respectively in time
O((s-|n-m|)min(m,n,s)+m+n) and linear space, where s is the edit distance
between the two strings. This worst-case time bound sets the quadratic factor
of the algorithm independent of the longest string length and improves existing
theoretical bounds for this problem. The implementation of our algorithm excels
also in practice, especially in cases where the two strings compared differ
significantly in length. Source code of our algorithm is available at
http://www.cs.miami.edu/\~dimitris/edit_distance


title:
Some combinatorial properties of flag simplicial pseudomanifolds and
  spheres

abstract:
  A simplicial complex $\Delta$ is called flag if all minimal nonfaces of
$\Delta$ have at most two elements. The following are proved: First, if
$\Delta$ is a flag simplicial pseudomanifold of dimension $d-1$, then the graph
of $\Delta$ (i) is $(2d-2)$-vertex-connected and (ii) has a subgraph which is a
subdivision of the graph of the $d$-dimensional cross-polytope. Second, the
$h$-vector of a flag simplicial homology sphere $\Delta$ of dimension $d-1$ is
minimized when $\Delta$ is the boundary complex of the $d$-dimensional
cross-polytope.


title:
Mesoscopic electronic heterogeneities in the transport properties of
  V2O3 thin films

abstract:
  The spectacular metal-to-insulator transition of V2O3 can be progressively
suppressed in thin film samples. Evidence for phase separation was observed
using microbridges as a mesoscopic probe of transport properties where the same
film possesses domains that exhibit a metal-to-insulator transition with clear
first order features or remain metallic down to low temperatures. A simple
model consisting of two parallel resistors can be used to quantify a phase
coexistence scenario explaining the measured macroscopic transport properties.
The interaction between film and substrate is the most plausible candidate to
explain this extended phase coexistence as shown by a correlation between the
transport properties and the structural data.


title:
Pseudo-localization of singular integrals and noncommutative
  Littlewood-Paley inequalities

abstract:
  We prove weak type inequalities for a large class of noncommutative square
functions. In conjunction with BMO type estimates, interpolation and duality,
we will obtain the corresponding equivalences in the whole Lp scale. The main
novelty of our approach relies on a row/column valued theory for noncommutative
martingale transforms and operator-valued Calderon-Zygmund operators. This
seems to be new in the noncommutative setting and might be regarded as a first
step towards a vector-valued noncommutative theory. Some examples and
applications are also explored.


title:
0+ states in the large boson number limit of the Interacting Boson
  Approximation model

abstract:
  Studies of the Interacting Boson Approximation (IBA) model for large boson
numbers have been triggered by the discovery of shape/phase transitions between
different limiting symmetries of the model. These transitions become sharper in
the large boson number limit, revealing previously unnoticed regularities,
which also survive to a large extent for finite boson numbers, corresponding to
valence nucleon pairs in collective nuclei. It is shown that energies of 0_n^+
states grow linearly with their ordinal number n in all three limiting
symmetries of IBA [U(5), SU(3), and O(6)]. Furthermore, it is proved that the
narrow transition region separating the symmetry triangle of the IBA into a
spherical and a deformed region is described quite well by the degeneracies
E(0_2^+)=E(6_1^+), E(0_3^+)=E(10_1^+), E(0_4^+)=E(14_1^+), while the energy
ratio E(6_1^+) /E(0_2^+) turns out to be a simple, empirical, easy-to-measure
effective order parameter, distinguishing between first- and second-order
transitions. The energies of 0_n^+ states near the point of the first order
shape/phase transition between U(5) and SU(3) are shown to grow as n(n+3), in
agreement with the rule dictated by the relevant critical point symmetries
resulting in the framework of special solutions of the Bohr Hamiltonian. The
underlying partial dynamical symmetries and quasi-dynamical symmetries are also
discussed.


title: Dark matter from cosmic defects on galactic scales?

abstract:
  We discuss the possible dynamical role of extended cosmic defects on galactic
scales, specifically focusing on the possibility that they may provide the dark
matter suggested by the classical problem of galactic rotation curves. We
emphasize that the more standard defects (such as Goto-Nambu strings) are
unsuitable for this task, but show that more general models (such as transonic
wiggly strings) could in principle have a better chance. In any case, we show
that observational data severely restricts any such scenarios.


title:
Hermitian vector bundles and extension groups on arithmetic schemes. II.
  The arithmetic Atiyah extension

abstract:
  In a previous paper, we have defined arithmetic extension groups in the
context of Arakelov geometry. In the present one, we introduce an arithmetic
analogue of the Atiyah extension that defines an element -- the arithmetic
Atiyah class -- in a suitable arithmetic extension group. If $\overline{E}$ is
a hermitian vector bundle on an arithmetic scheme $X$, its arithmetic Atiyah
class is an obstruction to the algebraicity of the unitary connection on the
vector bundle $E_\C$ over the complex manifold $X(\C)$ that is compatible with
its holomorphic structure.
  We develop basic properties of the arithmetic Atiyah class and study its
vanishing in the case of hermitian line bundles. This may be translated into a
concrete problem of diophantine geometry, concerning rational points of the
universal vector extension of the Picard variety of $X$. We investigate this
problem, which was already considered and solved in some cases by Bertrand, by
using a classical transcendence result of Schneider-Lang, and we derive a
finiteness result.
  We also consider a geometric analog of our arithmetic situation, namely a
smooth, projective variety $X$ which is fibered on a curve $C$ defined over
some field $k$ of characteristic zero. To any line bundle $L$ over $X$ is
attached its relative Atiyah class ${\rm at}_{X/C}L$. We describe precisely
when this class vanishes. In particular, when the fixed part of the relative
Picard variety of $X$ over $C$ is trivial, this holds only when the restriction
of $L$ to the generic fiber $X_K$ of $X$ over $C$ is a torsion line bundle.


title: AdS Solutions Through Transgression

abstract:
  We present new classes of explicit supersymmetric AdS_3 solutions of type IIB
supergravity with non-vanishing five-form flux and AdS_2 solutions of D=11
supergravity with electric four-form flux. The former are dual to
two-dimensional SCFTs with (0,2) supersymmetry and the latter to supersymmetric
quantum mechanics with two supercharges. We also investigate more general
classes of AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11
supergravity which in addition have non-vanishing three-form flux and magnetic
four-form flux, respectively. The construction of these more general solutions
makes essential use of the Chern-Simons or "transgression" terms in the Bianchi
identity or the equation of motion of the field strengths in the supergravity
theories. We construct infinite new classes of explicit examples and for some
of the type IIB solutions determine the central charge of the dual SCFTs. The
type IIB solutions with non-vanishing three-form flux that we construct include
a two-torus, and after two T-dualities and an S-duality, we obtain new AdS_3
solutions with only the NS fields being non-trivial.


title:
Non supersymmetric strong coupling background from the large N quantum
  mechanics of two matrices coupled via a Yang-Mills interaction

abstract:
  We derive the planar large N non-supersymmetric background of the quantum
mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills
interaction, in terms of the density of eigenvalues of one of the matrices.
This background satisfies an implicit non linear integral equation, with a
perturbative small coupling expansion and a solvable large coupling solution,
which is obtained. The energy of system and the expectation value of several
correlators are obtained in this strong coupling limit. They are free of
infrared divergences.


title: Scalar glueball in a holographic model of QCD

abstract: I describe scalar glueballs in the soft wall model of holographic QCD.


title: How long does it take a society to learn a new term?

abstract:
  In this paper, I study the diffusion of new terms, called neologism, in
social networks. I consider it as an example of information dynamics on
networks and I hope that solving this problem can help us to understand and
describe the information dynamics problem. To do so I develop a
phenomenological model for the diffusion mechanism. I find an analytical
relationship between number of people in the society who has learned the term
and time taken. The Network parameters are imported in this analytical
solution. I also present some simulation for this mechanism for several sample
and some real networks which confirms the analytical results. In addition, I
study the effects of network topology on diffusion process.


title: Top Mass Extraction from Cross Section Measurements

abstract:
  An extraction of the top mass from cross section measurements in the dilepton
and lepton+jets channels with an integrated luminosity of about 1fb-1 is given.
Two ways are presented : one based on the simple lecture of the graph of the
cross section as a function of the top mass and the other based on the use of
probability density functions. The final result is consistent with direct
measurements but with a greater uncertainty.


title: $D_{sJ}(2700)$ and other puzzling states in charm spectroscopy

abstract:
  I briefly introduce the status of charm physics and I discuss the case of the
meson with open charm $D_{sJ}(2700)$.


title: Spectral gap global solutions for degenerate Kirchhoff equations

abstract:
  We consider the second order Cauchy problem
  $$u''+m(|A^{1/2}u|^2)Au=0, u(0)=u_{0}, u'(0)=u_{1},$$ where
$m:[0,+\infty)\to[0,+\infty)$ is a continuous function, and $A$ is a
self-adjoint nonnegative operator with dense domain on a Hilbert space. It is
well known that this problem admits local-in-time solutions provided that
$u_{0}$ and $u_{1}$ are regular enough, depending on the continuity modulus of
$m$, and on the strict/weak hyperbolicity of the equation. We prove that for
such initial data $(u_{0},u_{1})$ there exist two pairs of initial data
$(\overline{u}_{0},\overline{u}_{1})$, $(\widehat{u}_{0},\widehat{u}_{1})$ for
which the solution is global, and such that
$u_{0}=\overline{u}_{0}+\widehat{u}_{0}$,
$u_{1}=\overline{u}_{1}+\widehat{u}_{1}$. This is a byproduct of a global
existence result for initial data with a suitable spectral gap, which extends
previous results obtained in the strictly hyperbolic case with a smooth
nonlinearity $m$.


title:
The initial conditions of star formation VIII: an observational study of
  the Ophiuchus cloud L1688 and implications for the prestellar core mass
  function

abstract:
  We re-analyse all of the archive observations of the Ophiuchus dark cloud
L1688 that were carried out with the submillimetre common-user bolometer array
(SCUBA) at the James Clerk Maxwell Telescope (JCMT). For the first time we put
together all of the data that were taken of this cloud at different times to
make a deeper map at 850 microns than has ever previously been published. Using
this new, deeper map we extract the pre-stellar cores from the data. We use
updated values for the distance to the cloud complex, and also for the internal
temperatures of the pre-stellar cores to generate an updated core mass function
(CMF). This updated CMF is consistent with previous results in so far as they
went, but our deeper map gives an improved completeness limit of 0.1 Mo (0.16
Jy), which enables us to show that a turnover exists in the low-mass regime of
the CMF. The L1688 CMF shows the same form as the stellar IMF and can be mapped
onto the stellar IMF, showing that the IMF is determined at the prestellar core
stage. We compare L1688 with the Orion star-forming region and find that the
turnover in the L1688 CMF occurs at a mass roughly a factor of two lower than
the CMF turnover in Orion. This suggests that the position of the CMF turnover
may be a function of environment.


title: Probabilistic theories: what is special about Quantum Mechanics?

abstract:
  Quantum Mechanics (QM) is a very special probabilistic theory, yet we don't
know which operational principles make it so. All axiomatization attempts
suffer at least one postulate of a mathematical nature. Here I will analyze the
possibility of deriving QM as the mathematical representation of a "fair
operational framework", i.e. a set of rules which allows the experimenter to
make predictions on future "events" on the basis of suitable "tests", e.g.
without interference from uncontrollable sources. Two postulates need to be
satisfied by any fair operational framework: NSF: "no-signaling from the
future"--for the possibility of making predictions on the basis of past tests;
PFAITH: "existence of a preparationally faithful state"--for the possibility of
preparing any state and calibrating any test. I will show that all theories
satisfying NSF admit a C*-algebra representation of events as linear
transformations of effects. Based on a very general notion of dynamical
independence, it is easy to see that all such probabilistic theories are
"non-signaling without interaction" ("non-signaling" for short)--another
requirement for a fair operational framework. Postulate PFAITH then implies the
"local observability principle", the tensor-product structure for the linear
spaces of states and effects, the impossibility of bit commitment and
additional features, such an operational definition of transpose, a scalar
product for effects, weak-selfduality of the theory, and more. Dual to
Postulate PFAITH an analogous postulate for effects would give additional
quantum features, such as teleportation. However, all possible consequences of
these postulates still need to be investigated, and it is not clear yet if we
can derive QM from the present postulates only. [CONTINUES on manuscript]


title:
Heterotic mini-landscape (II): completing the search for MSSM vacua in a
  Z_6 orbifold

abstract:
  We complete our search for MSSM vacua in the Z_6-II heterotic orbifold by
including models with 3 Wilson lines. We estimate the total number of
inequivalent models in this orbifold to be 10^7. Out of these, we find almost
300 models with the exact MSSM spectrum, gauge coupling unification and a heavy
top quark. Models with these features originate predominantly from local GUTs.
The scale of gaugino condensation in the hidden sector is correlated with
properties of the observable sector such that soft masses in the TeV range are
preferred.


title:
Enhancement of thermal transport in the degenerate periodic Anderson
  model

abstract:
  The low-temperature transport coefficients of the degenerate periodic SU(N)
Anderson model are calculated in the limit of infinite correlation between {\it
f} electrons, within the framework of dynamical mean-field theory. We establish
the Fermi liquid (FL) laws in the clean limit, taking into account the
quasiparticle damping. The latter yields a reduced value of the Lorenz number
in the Wiedemann-Franz law. Our results indicate that the renormalization of
the thermal conductivity and of the Seebeck coefficient can lead to a
substantial enhancement of the electronic thermoelectric figure-of-merit at low
temperature.
  Using the FL laws we discuss the low-temperature anomalies that show up in
the electrical resistance of the intermetallic compounds with Cerium and
Ytterbium ions, when studied as a function of pressure.
  Our calculations explain the sharp maximum of the coefficient of the
$T^2$-term of the electrical resistance and the rapid variation of residual
resistance found in a number of Ce and Yb intermetallics at some critical
pressure.


title:
Phase Transition in a Random Minima Model: Mean Field Theory and Exact
  Solution on the Bethe Lattice

abstract:
  We consider the number and distribution of minima in random landscapes
defined on non-Euclidean lattices. Using an ensemble where random landscapes
are reweighted by a fugacity factor $z$ for each minimum they contain, we
construct first a `two-box' mean field theory. This exhibits an ordering phase
transition at $z\c=2$ above which one box contains an extensive number of
minima. The onset of order is governed by an unusual order parameter exponent
$\beta=1$, motivating us to study the same model on the Bethe lattice. Here we
find from an exact solution that for any connectivity $\mu+1>2$ there is an
ordering transition with a conventional mean field order parameter exponent
$\beta=1/2$, but with the region where this behaviour is observable shrinking
in size as $1/\mu$ in the mean field limit of large $\mu$. We show that the
behaviour in the transition region can also be understood directly within a
mean field approach, by making the assignment of minima `soft'. Finally we
demonstrate, in the simplest mean field case, how the analysis can be
generalized to include both maxima and minima. In this case an additional first
order phase transition appears, to a landscape in which essentially all sites
are either minima or maxima.


title:
Cool luminous stars: the hybrid nature of their infrared spectra --
  Carbon, oxygen, and their isotopic abundances in 23 K - M giant stars

abstract:
  We identified a possible origin of the difficulty in abundance analysis of
cool luminous stars. We found purely empirically that there is a limit of
logW/nu = -4.75 (W: equivalent width, nu: wavenumber) above which the observed
lines do not follow the line formation theory based on the classical
micro-turbulent model and that the abundance analysis can be done only with the
lines of logW/nu < -4.75. The C, O, and their isotopic abundances determined
from such weak lines of CO and OH in 23 K - M giants are roughly consistent
with the predictions of evolutionary models. However, the stronger lines of
logW/nu > -4.75 cannot be analyzed at all by the classical line formation
theory. From the behavior of these lines and considering other observations
such as the detections of H2O lines, not only in the late M giants but also in
the early M and K giants, we found that these lines are badly disturbed by the
contamination from extra molecular layers. We already know that the very strong
lines of logW/nu > -4.4 are contaminated by the contribution from the extra
warm molecular layers, but we now show that such contamination should be
prevailing not only in the strong low excitation lines but also in the
intermediate-strength lines (-4.75 < logW/nu > -4.4) as well. The reason why
these lines cannot be used for determining photospheric abundances is simply
because they include the contamination of the non-photospheric origin. Instead
they can be new proves of the warm molecular envelope for which little is known
yet. An important conclusion is that the infrared spectra of K - M giants are a
hybrid of at least two components originating in the photosphere and the warm
molecular envelope. In the interpretation and analysis of the infrared spectra
of cool luminous stars, it is essential to keep their hybrid naure in mind.


title:
Simple, empirical order parameter for a first order quantum phase
  transition in atomic nuclei

abstract:
  A simple, empirical signature of a first order phase transition in atomic
nuclei is presented, the ratio of the energy of the 6+ level of the ground
state band to the energy of the first excited 0+ state. This ratio provides an
effective order parameter which is not only easy to measure, but also
distinguishes between first and second order phase transitions and takes on a
special value in the critical region. Data in the Nd-Dy region show these
characteristics. In addition, a repeating degeneracy between alternate yrast
states and successive excited 0+ states is found to correspond closely to the
line of a first order phase transition in the framework of the Interacting
Boson Approximation (IBA) model in the large N limit, pointing to a possible
underlying symmetry in the critical region.


title:
Quantum Phase Transition in a Heisenberg Antiferromagnet on a Square
  Lattice with Strong Plaquette Interactions

abstract:
  We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a
inhomogeneous square lattice with tunable interaction between spins belonging
to different plaquettes. Employing Quantum Monte Carlo, we significantly
improve on previous results for the the critical point separating
singlet-disordered and N\'{e}el-ordered phases, and obtain an estimate for the
critical exponent $\nu$ consistent with the three-dimensional classical
Heisenberg universality class. Additionally, we show that a fairly accurate
result for the critical point can be obtained from a Contractor Renormalization
(CORE) expansion by applying a surprisingly simple analysis to the effective
Hamiltonian.


title: How target waves emerge in population dynamics

abstract:
  Based on a multi-agent model, we investigate how target waves emerge from a
population dynamics with cyclical interactions among three species. We show
that the periodically injecting source in a small central area can generate
target waves in a two-dimensional lattice system. By detecting the temporal
period of species' concentration at the central area, three modes of target
waves can be distinguished. Those different modes result from the competition
between local and global oscillations induced by cyclical interactions: Mode A
corresponds to a synchronization of local and global oscillations, Mode B
results from an intermittent synchronization, and Mode C corresponds to the
case when the frequency of the local oscillation is much higher than that of
the global oscillation. This work provides insights into pattern formation in
biologic and ecologic systems that are totally different from the extensively
studied diffusion systems driven by chemical reactions.


title: Tridiagonal Symmetries of Models of Nonequilibrium Physics

abstract:
  We study the boundary symmetries of models of nonequilibrium physics where
the steady state behaviour strongly depends on the boundary rates. Within the
matrix product state approach to many-body systems the physics is described in
terms of matrices defining a noncommutative space with a quantum group
symmetry. Boundary processes lead to a reduction of the bulk symmetry. We argue
that the boundary operators of an interacting system with simple exclusion
generate a tridiagonal algebra whose irreducible representations are expressed
in terms of the Askey-Wilson polynomials. We show that the boundary algebras of
the symmetric and the totally asymmetric processes are the proper limits of the
partially asymmetric ones. In all three type of processes the tridiagonal
algebra arises as a symmetry of the boundary problem and allows for the exact
solvability of the model.

categories: math-ph cond-mat.stat-mech math.MP math.QA


title: Multilinear H\"older-type inequalities on Lorentz sequence spaces

abstract:
  We establish H\"older type inequalities for Lorentz sequence spaces and their
duals. In order to achieve these and some related inequalities, we study
diagonal multilinear forms in general sequence spaces, and obtain estimates for
their norms. We also consider norms of multilinear forms in different Banach
multilinear ideals.