title: New bounds on classical and quantum one-way communication complexity

abstract:
  In this paper we provide new bounds on classical and quantum distributional
communication complexity in the two-party, one-way model of communication. In
the classical model, our bound extends the well known upper bound of Kremer,
Nisan and Ron to include non-product distributions. We show that for a boolean
function f:X x Y -> {0,1} and a non-product distribution mu on X x Y and
epsilon in (0,1/2) constant: D_{epsilon}^{1, mu}(f)= O((I(X:Y)+1) vc(f)), where
D_{epsilon}^{1, mu}(f) represents the one-way distributional communication
complexity of f with error at most epsilon under mu; vc(f) represents the
Vapnik-Chervonenkis dimension of f and I(X:Y) represents the mutual
information, under mu, between the random inputs of the two parties. For a
non-boolean function f:X x Y ->[k], we show a similar upper bound on
D_{epsilon}^{1, mu}(f) in terms of k, I(X:Y) and the pseudo-dimension of f' =
f/k. In the quantum one-way model we provide a lower bound on the
distributional communication complexity, under product distributions, of a
function f, in terms the well studied complexity measure of f referred to as
the rectangle bound or the corruption bound of f . We show for a non-boolean
total function f : X x Y -> Z and a product distribution mu on XxY,
Q_{epsilon^3/8}^{1, mu}(f) = Omega(rec_ epsilon^{1, mu}(f)), where
Q_{epsilon^3/8}^{1, mu}(f) represents the quantum one-way distributional
communication complexity of f with error at most epsilon^3/8 under mu and rec_
epsilon^{1, mu}(f) represents the one-way rectangle bound of f with error at
most epsilon under mu . Similarly for a non-boolean partial function f:XxY -> Z
U {*} and a product distribution mu on X x Y, we show, Q_{epsilon^6/(2 x
15^4)}^{1, mu}(f) = Omega(rec_ epsilon^{1, mu}(f)).


title: Influence of Landau-level mixing on Wigner crystallization in graphene

abstract:
  Graphene, with its massless linearly-dispersing carriers, in the quantum Hall
regime provides an instructive comparison with conventional two-dimensional
(2D) systems in which carriers have a nonzero band mass and quadratic
dispersion. We investigate the influence of Landau level mixing in graphene on
Wigner crystal states in the $n^\mathrm{th}$ Landau level obtained using single
Landau level approximation. We show that the Landau level mixing does not
qualitatively change the phase diagram as a function of partial filling factor
$\nu$ in the $n^\mathrm{th}$ level. We find that the inter-Landau level mixing,
quantified by relative occupations of the two Landau levels,
$\rho_{n+1}/\rho_{n}$, oscillates around 2% and, in general, remains small ($<
4%$) irrespective of the Landau level index $n$. Our results show that the
single Landau level approximation is applicable in high Landau levels, even
though the energy gap between the adjacent Landau levels vanishes.


title:
Top-gated graphene field-effect-transistors formed by decomposition of
  SiC

abstract:
  Top-gated, few-layer graphene field-effect transistors (FETs) fabricated on
thermally-decomposed semi-insulating 4H-SiC substrates are demonstrated.
Physical vapor deposited SiO2 is used as the gate dielectric. A two-dimensional
hexagonal arrangement of carbon atoms with the correct lattice vectors,
observed by high-resolution scanning tunneling microscopy, confirms the
formation of multiple graphene layers on top of the SiC substrates. The
observation of n-type and p-type transition further verifies Dirac Fermions
unique transport properties in graphene layers. The measured electron and hole
mobility on these fabricated graphene FETs are as high as 5400 cm2/Vs and 4400
cm2/Vs respectively, which are much larger than the corresponding values from
conventional SiC or silicon.


title: The Accelerating Expansion of the Universe and Torsion Energy

abstract:
  In the present work, it is shown that the problem of the accelerating
expansion of the Universe can be directly solved by applying Einstein
geometrization philosophy in a wider geometry. The geometric structure used to
fulfil the aim of the work is a version of Absolute Parallelism geometry in
which curvature and torsion are simultaneously non vanishing objects. It is
shown that, while the energy corresponding to the curvature of space- time
gives rise to an attractive force, the energy corresponding to the torsion
indicates the presence of a repulsive force. A fine tuning parameter can be
adjusted to give the observed phenomena.


title:
The Star Formation History of the Universe as Revealed by Deep Radio
  Observations

abstract:
  Discerning the exact nature of the sub-mJy radio population has been
historically difficult due to the low luminosity of these sources at most
wavelengths. Using deep ground based optical follow-up and observations from
the Spitzer Space Telescope we are able to disentangle the radio-selected
Active Galactic Nuclei (AGN) and Star Forming Galaxy (SFG) populations for the
first time in a deep multi-frequency VLA/MERLIN Survey of the 13^H
XMM-Newton/Chandra Deep Field. The discrimination diagnostics include radio
morphology, radio spectral index, radio/near-IR and mid-IR/radio flux density
ratios. We are now able to calculate the extragalactic Euclidean normalised
source counts separately for AGN and SFGs. We find that while SFGs dominate at
the faintest flux densities and account for the majority of the up-turn in the
counts, AGN still make up around one quarter of the counts at ~5 uJy (1.4 GHz).
Using radio luminosity as an unobscured star formation rate (SFR) measure we
are then able to examine the comoving SFR density of the Universe up to z=3
which agrees well with measures at other wavelengths. We find a rough
correlation of SFR with stellar mass for both the sample presented here and a
sample of local radio-selected SFGs from the 6df-NVSS survey. This work also
confirms the existence of, and provides alternative evidence for, the evolution
of distribution of star formation by galaxy mass: ``downsizing''. As both these
samples are SFR-selected, this result suggests that there is a maximum SFR for
a given galaxy that depends linearly on its stellar mass. The low
``characteristic times'' (inverse specific SFR) of the SFGs in our sample are
similar to those of the 6dF-NVSS sample, implying that most of these sources
are in a current phase of enhanced star formation.


title: Explicit Action of E7(7) on N=8 Supergravity Fields

abstract:
  We present an explicit, exact to all orders in gravitational coupling E7(7)
symmetry transformations of on-shell N=8 supergravity fields in the gauge with
70 scalars in E7(7)/SU(8) coset space, the local SU(8) symmetry being fixed.
The non-linear realization of E7(7) includes a field-dependent SU(8)
transformation preserving the unitary gauge. We find the conserved
Noether-Gaillard-Zumino current of E7(7) symmetry, the linear part of it being
a chiral SU(8) symmetry. We comment on the conformal realization of the E7(7)
algebra which includes a dilatation operator. We hope that these results can be
useful for studies of anomalies/absence of anomalies and the UV behavior of N=8
supergravity.


title:
Voltage from mechanical stress in type-II superconductors: Depinning of
  the magnetic flux by moving dislocations

abstract:
  Mechanical stress causes motion of defects in solids. We show that in a
type-II superconductor a moving dislocation generates a pattern of current that
exerts the depinning force on the surrounding vortex lattice. Concentration of
dislocations and the mechanical stress needed to produce critical depinning
currents are shown to be within practical range. When external magnetic field
and transport current are present this effect generates voltage across the
superconductor. Thus a superconductor can serve as an electrical sensor of the
mechanical stress.


title:
Magnetic studies of multi-walled carbon nanotube mats: Evidence for the
  paramagnetic Meissner effect

abstract:
  We report magnetic measurements up to 1200 K on multi-walled carbon nanotube
mats using Quantum Design vibrating sample magnetometer. Extensive magnetic
data consistently show two ferrromagnetic-like transitions at about 1000 K and
1275 K, respectively. The lower transition at about 1000 K is associated with
an Fe impurity phase and its saturation magnetization is in quantitative
agreement with the Fe concentration measured by an inductively coupled plasma
mass spectrometer. On the other hand, the saturation magnetization for the
higher transition phase ($\geq$1.0 emu/g) is about four orders of magnitude
larger than that expected from the measured concentration of Co or CoFe, which
has a high enough Curie temperature to explain this high transition. We show
that this transition at about 1275 K is not consistent with a magnetic
proximity effect of Fe-carbon systems and ferromagnetism of any carbon-based
materials or magnetic impurities but with the paramagnetic Meissner effect due
to the existence of $\pi$ Josephson junctions in a granular superconductor.


title: Electron attachment to SF6 and lifetimes of SF6- negative ions

abstract:
  We study the process of low-energy electron capture by the SF6 molecule. Our
approach is based on the model of Gauyacq and Herzenberg [J. Phys. B 17, 1155
(1984)] in which the electron motion is coupled to the fully symmetric
vibrational mode through a weakly bound or virtual s state. By tuning the two
free parameters of the model, we achieve an accurate description of the
measured electron attachment cross section and good agreement with vibrational
excitation cross sections of the fully symmetric mode. An extension of the
model provides a limit on the characteristic time of intramolecular vibrational
relaxation in highly-excited SF6-. By evaluating the total vibrational spectrum
density of SF6-, we estimate the widths of the vibrational Feshbach resonances
of the long-lived negative ion. We also analyse the possible distribution of
the widths and its effect on the lifetime measurements, and investigate
nonexponential decay features in metastable SF6-.


title:
Large oxygen-isotope shift above the quantum critical point of
  $Y_{1-x}Ca_xBa_2Cu_3O_{7-delta}$

abstract:
  We have studied the oxygen-isotope effect on the superconducting transition
temperature $T_{c}$ in overdoped
Y$_{1-x}$Ca$_{x}$Ba$_{2}$Cu$_{3}$O$_{7-\delta}$ with $x$ = 0.10, 0.20, and
0.25. We find the oxygen-isotope exponent $\alpha_{O}$ to be small ($\sim$0.02)
for $x$ = 0.10 but substantial ($\sim$0.1) for $x$ = 0.20 and 0.25. The doping
level above which $\alpha_{O}$ increases sharply coincides with a quantum
critical point where the normal-state pseudogap starts to diminish. The present
isotope-effect experiments provide direct and quantitative constraints on the
pairing mechanism of high-temperature superconductivity in cuprates.


title: Bounce and wormholes

abstract:
  We investigate if theories yielding bouncing cosmological models also
generate wormhole solutions. We show that two of them present sensible
traversable static wormhole solutions, while for the third possibility such
solutions are absent.


title: Hubs in Languages: Scale Free Networks of Synonyms

abstract:
  Natural languages are described in this paper in terms of networks of
synonyms: a word is identified with a node, and synonyms are connected by
undirected links. Our statistical analysis of the network of synonyms in Polish
language showed it is scale-free; similar to what is known for English. The
statistical properties of the networks are also similar. Thus, the statistical
aspects of the networks are good candidates for culture independent elements of
human language. We hypothesize that optimization for robustness and efficiency
is responsible for this universality. Despite the statistical similarity, there
is no one-to-one mapping between networks of these two languages. Although many
hubs in Polish are translated into similarly highly connected hubs in English,
there are also hubs specific to one of these languages only: a single word in
one language is equivalent to many different and disconnected words in the
other, in accordance with the Whorf hypothesis about language relativity.
Identifying language-specific hubs is vitally important for automatic
translation, and for understanding contextual, culturally related messages that
are frequently missed or twisted in a naive, literary translation.


title:
Unusual temperature dependence of the oxygen-isotope effect on the
  exchange-energy of $La_{1-x}Ca_xMnO_3$ at high temperatures

abstract:
  We report magnetic susceptibility $\chi(T)$ measurements on oxygen-isotope
exchanged La$_{1-x}$Ca$_{x}$MnO$_{3+y}$ up to 700 K. The $1/\chi(T)$ data show
that the ferromagnetic exchange-energy $J$ depends strongly on the
oxygen-isotope mass. The isotope effect on $J$ decreases with temperature up to
400 K and then increases again with temperature above 400 K. This unusual
temperature dependence of the isotope effect cannot be explained by existing
theories of the colossal magnetoresistance effect for doped manganites. The
present results thus provide essential constraints on the physics of
manganites.


title:
Continuous monitoring can improve indistinguishability of a
  single-photon source

abstract:
  A new engineering technique using continuous quantum measurement in
conjunction with feed-forward is proposed to improve indistinguishability of a
single-photon source. The technique involves continuous monitoring of the state
of the emitter, processing the noisy output signal with a simple linear
estimation algorithm, and feed forward to control a variable delay at the
output. In the weak coupling regime, the information gained by monitoring the
state of the emitter is used to reduce the time uncertainty inherent in photon
emission from the source, which improves the indistinguishability of the
emitted photons.


title:
Fast Directional Computation for the High Frequency Helmholtz Kernel in
  Two Dimensions

abstract:
  This paper introduces a directional multiscale algorithm for the two
dimensional $N$-body problem of the Helmholtz kernel with applications to high
frequency scattering. The algorithm follows the approach in [Engquist and Ying,
SIAM Journal on Scientific Computing, 29 (4), 2007] where the three dimensional
case was studied. The main observation is that, for two regions that follow a
directional parabolic geometric configuration, the interaction between the
points in these two regions through the Helmholtz kernel is approximately low
rank. We propose an improved randomized procedure for generating the low rank
representations. Based on these representations, we organize the computation of
the far field interaction in a multidirectional and multiscale way to achieve
maximum efficiency. The proposed algorithm is accurate and has the optimal
$O(N\log N)$ complexity for problems from two dimensional scattering
applications. We present numerical results for several test examples to
illustrate the algorithm and its application to two dimensional high frequency
scattering problems.


title: Quantum Nanomechanics

abstract:
  Quantum Nanomechanics is the emerging field which pertains to the mechanical
behavior of nanoscale systems in the quantum domain. Unlike the conventional
studies of vibration of molecules and phonons in solids, quantum nanomechanics
is defined as the quantum behavior of the entire mechanical structure,
including all of its constituents--the atoms, the molecules, the ions, the
electrons as well as other excitations. The relevant degrees of freedom of the
system are described by macroscopic variables and quantum mechanics in these
variables is the essential aspect of quantum nanomechanics. In spite of its
obvious importance, however, quantum nanomechanics still awaits proper and
complete physical realization. In this article, I provide a conceptual
framework for defining quantum nanomechanical systems and their characteristic
behaviors, and chart out possible avenues for the experimental realization of
bona fide quantum nanomechanical systems.


title: Towards a spin dual of the fractional quantum Hall effect

abstract:
  Electromagnetic duality between the Aharonov-Bohm and the Aharonov-Casher
quantum mechanical phases predicts the existence of a new collective state of
matter which can be regarded as a spin dual to the fractional quantum Hall
effect. The state, induced by electric fields, is driven by effective spin-spin
interactions. We derive experimental and materials conditions of spin-spin
interactions and electric fields under which the new state may be observed.


title: A Quantum-Enhanced Prototype Gravitational-Wave Detector

abstract:
  The quantum nature of the electromagnetic field imposes a fundamental limit
on the sensitivity of optical precision measurements such as spectroscopy,
microscopy, and interferometry. The so-called quantum limit is set by the
zero-point fluctuations of the electromagnetic field, which constrain the
precision with which optical signals can be measured. In the world of precision
measurement, laser-interferometric gravitational wave (GW) detectors are the
most sensitive position meters ever operated, capable of measuring distance
changes on the order of 10^-18 m RMS over kilometer separations caused by GWs
from astronomical sources. The sensitivity of currently operational and future
GW detectors is limited by quantum optical noise. Here we demonstrate a 44%
improvement in displacement sensitivity of a prototype GW detector with
suspended quasi-free mirrors at frequencies where the sensitivity is
shot-noise-limited, by injection of a squeezed state of light. This
demonstration is a critical step toward implementation of squeezing-enhancement
in large-scale GW detectors.


title: Gemini Imaging of Mid-IR Emission from the Nuclear Region of Centaurus A

abstract:
  We present high spatial resolution mid-IR images of the nuclear region of NGC
5128 (Centaurus A). Images were obtained at 8.8 micron, N-band (10.4 micron),
and 18.3 micron using the mid-IR imager/spectrometer T-ReCS on Gemini South.
These images show a bright unresolved core surrounded by low-level extended
emission. We place an upper limit to the size of the unresolved nucleus of 3.2
pc (0.19") at 8.8 micron and 3.5 pc (0.21") at 18.3 micron at the level of the
FWHM. The most likely source of nuclear mid-IR emission is from a dusty torus
and possibly dusty narrow line region with some contribution from synchrotron
emission associated with the jet as well as relatively minor starburst
activity. Clumpy tori models are presented which predict the mid-IR size of
this torus to be no larger than 0.05" (0.85pc). Surrounding the nucleus is
extensive low-level mid-IR emission. Previously observed by ISO and Spitzer,
this paper presents to date the highest spatial resolution mid-IR images of
this extended near nuclear structure. Much of the emission is coincident with
Pa-alpha sources seen by HST implying emission from star forming areas, however
evidence for jet induced star formation, synchrotron emission from the jet, a
nuclear bar/ring, and an extended dusty narrow emission line region is also
discussed.


title: Inhomogeneous Strichartz estimates

abstract:
  We present abstract inhomogeneous Strichartz estimates for dispersive
operators, extending previous work by M. Keel and T. Tao on the one hand, and
generalising results of D. Foschi, M. Vilela, M. Nakamura and T. Ozawa on the
other hand. It is shown that these abstract estimates imply new inhomogeneous
Strichartz estimates for the wave equation and some Schr\"odinger equations
involving potentials.


title: Ants are not Conscious

abstract:
  Anthropic reasoning is a form of statistical reasoning based upon finding
oneself a member of a particular reference class of conscious beings. By
considering empirical distribution functions defined over animal life on Earth,
we can deduce that the vast bulk of animal life is unlikely to be conscious.


title: Growth Index of DGP Model and Current Growth Rate Data

abstract:
  Recently, some efforts focus on differentiating dark energy and modified
gravity with the growth function $\delta(z)$. In the literature, it is useful
to parameterize the growth rate $f\equiv d\ln\delta/d\ln a=\Omega_m^\gamma$
with the growth index $\gamma$. In this note, we consider the general DGP model
with any $\Omega_k$. We confront the growth index of DGP model with currently
available growth rate data and find that the DGP model is still consistent with
it. This implies that more and better growth rate data are required to
distinguish between dark energy and modified gravity.


title:
A photometric survey for Lyalpha-HeII dual emitters: Searching for
  Population III stars in high-redshift galaxies

abstract:
  We present a new photometric search for high-z galaxies hosting Population
III (PopIII) stars based on deep intermediate-band imaging observations
obtained in the Subaru Deep Field (SDF), by using Suprime-Cam on the Subaru
Telescope. By combining our new data with the existing broad-band and
narrow-band data, we searched for galaxies which emit strongly both in Ly_alpha
and in HeII 1640 (``dual emitters'') that are promising candidates for
PopIII-hosting galaxies, at 3.93<z<4.01 and 4.57<z<4.65. Although we found 10
``dual emitters'', most of them turn out to be [OII]-[OIII] dual emitters or
H_beta-(H_alpha+[NII]) dual emitters at z<1, as inferred from their broad-band
colors and from the ratio of the equivalent widths. No convincing candidate of
Ly_alpha-HeII dual emitter of SFR_PopIII > 2 Msun/yr was found by our
photometric search in 4.03 x 10^5 Mpc^3 in the SDF. This result disfavors low
feedback models for PopIII star clusters, and implies an upper-limit of the
PopIII SFR density of SFRD_PopIII < 5 x 10^-6 Msun/yr/Mpc^3. This new selection
method to search for PopIII-hosting galaxies should be useful in future
narrow-band surveys to achieve the first observational detection of
PopIII-hosting galaxies at high redshifts.


title:
One-loop QCD corrections to the $e^+e^- \to W^+ W^- b\bar b$ process at
  the ILC

abstract:
  We study the full contributions at the leading order(LO) and QCD
next-to-leading order(NLO) to the cross section of the \eewwbb process in the
standard model(SM) at the ILC. In dealing the resonance problem we adopted the
complex mass scheme in both tree-level and one-loop level perturbative
calculations. Our numerical results show that the K-factor varies from 1.501 to
0.847 when $\sqrt{s}$ goes up from $360 GeV$ to $1.5 TeV$. We investigate the
dependence of the LO and QCD NLO corrected cross sections of process \eewwbb on
colliding energy $\sqrt{s}$ and Higgs-boson mass. We also present the results
of the LO and QCD NLO corrected distributions of the transverse momenta of
final particles, and the invariant masses of $Wb$-, $b\bar b$- and $WW$-pair.


title: On the period-index problem in light of the section conjecture

abstract:
  Period and index of a curve $X/K$ over a $p$-adic local field $K$ such that
the fundamental group $\pi_1(X/K)$ admits a splitting are shown to be powers of
$p$. As a consequence, examples of curves over number fields are constructed
where having sections is obstructed locally at a $p$-adic place. Hence the
section conjecture holds for these curves as there are neither sections nor
rational points.


title: Hospital Case Cost Estimates Modelling - Algorithm Comparison

abstract:
  Ontario (Canada) Health System stakeholders support the idea and necessity of
the integrated source of data that would include both clinical (e.g. diagnosis,
intervention, length of stay, case mix group) and financial (e.g. cost per
weighted case, cost per diem) characteristics of the Ontario healthcare system
activities at the patient-specific level. At present, the actual patient-level
case costs in the explicit form are not available in the financial databases
for all hospitals. The goal of this research effort is to develop financial
models that will assign each clinical case in the patient-specific data
warehouse a dollar value, representing the cost incurred by the Ontario health
care facility which treated the patient. Five mathematical models have been
developed and verified using real dataset. All models can be classified into
two groups based on their underlying method: 1. Models based on using relative
intensity weights of the cases, and 2. Models based on using cost per diem.


title: Deep ACS Imaging in the Globular Cluster NGC6397: Dynamical Models

abstract:
  We present N-body models to complement deep imaging of the metal-poor
core-collapsed cluster NGC6397 obtained with the Hubble Space Telescope. All
simulations include stellar and binary evolution in-step with the stellar
dynamics and account for the tidal field of the Galaxy. We focus on the results
of a simulation that began with 100000 objects (stars and binaries), 5%
primordial binaries and Population II metallicity. After 16 Gyr of evolution
the model cluster has about 20% of the stars remaining and has reached
core-collapse. We compare the color-magnitude diagrams of the model at this age
for the central region and an outer region corresponding to the observed field
of NGC6397 (about 2-3 half-light radii from the cluster centre). This
demonstrates that the white dwarf population in the outer region has suffered
little modification from dynamical processes - contamination of the luminosity
function by binaries and white dwarfs with non-standard evolution histories is
minimal and should not significantly affect measurement of the cluster age. We
also show that the binary fraction of main-sequence stars observed in the
NGC6397 field can be taken as representative of the primordial binary fraction
of the cluster. For the mass function of the main-sequence stars we find that
although this has been altered significantly by dynamics over the cluster
lifetime, especially in the central and outer regions, that the position of the
observed field is close to optimal for recovering the initial mass function of
the cluster stars (below the current turn-off mass). More generally we look at
how the mass function changes with radius in a dynamically evolved stellar
cluster and suggest where the best radial position to observe the initial mass
function is for clusters of any age.


title: A test of the BFKL resummation at ILC

abstract:
  We consider the exclusive production of rho^0 meson pairs in gamma^*gamma^*
scattering in the Regge limit of QCD as a probe of BFKL resummation effects and
we show the feasibility of the measurement of this process at the ILC.


title: Free Abelian 2-Form Gauge Theory: BRST Approach

abstract:
  We discuss various symmetry properties of the Lagrangian density of a four (3
+ 1)-dimensional (4D) free Abelian 2-form gauge theory within the framework of
Becchi-Rouet-Stora-Tyutin (BRST) formalism. The present free Abelian gauge
theory is endowed with a Curci-Ferrari type condition which happens to be a key
signature of the 4D non-Abelian 1-form gauge theory. In fact, it is due to the
above condition that the nilpotent BRST and anti-BRST symmetries of the theory
are found to be absolutely anticommuting in nature. For our present 2-form
gauge theory, we discuss the BRST, anti-BRST, ghost and discrete symmetry
properties of the Lagrangian densities and derive the corresponding conserved
charges. The algebraic structure, obeyed by the above conserved charges, is
deduced and the constraint analysis is performed with the help of the
physicality criteria where the conserved and nilpotent (anti-)BRST charges play
completely independent roles. These physicality conditions lead to the
derivation of the above Curci-Ferrari type restriction, within the framework of
BRST formalism, from the constraint analysis.


title: Wideband Spectrum Sensing in Cognitive Radio Networks

abstract:
  Spectrum sensing is an essential enabling functionality for cognitive radio
networks to detect spectrum holes and opportunistically use the under-utilized
frequency bands without causing harmful interference to legacy networks. This
paper introduces a novel wideband spectrum sensing technique, called multiband
joint detection, which jointly detects the signal energy levels over multiple
frequency bands rather than consider one band at a time. The proposed strategy
is efficient in improving the dynamic spectrum utilization and reducing
interference to the primary users. The spectrum sensing problem is formulated
as a class of optimization problems in interference limited cognitive radio
networks. By exploiting the hidden convexity in the seemingly non-convex
problem formulations, optimal solutions for multiband joint detection are
obtained under practical conditions. Simulation results show that the proposed
spectrum sensing schemes can considerably improve the system performance. This
paper establishes important principles for the design of wideband spectrum
sensing algorithms in cognitive radio networks.


title: Language of Boolean functions its Grammar and Machine

abstract:
  In this paper an algorithm is designed which generates in-equivalent Boolean
functions of any number of variables from the four Boolean functions of single
variable. The grammar for such set of Boolean function is provided. The Turing
Machine that accepts such set is constructed.


title: Molecular Line Observations of the SiO Maser Source IRAS 19312+1950

abstract:
  IRAS 19312+1950 is a unique SiO maser source, exhibiting a rich set of
molecular radio lines, although SiO maser sources are usually identified as
oxygen-rich evolved stars, in which chemistry is relatively simple comparing
with carbon-rich environments. The rich chemistry of IRAS 19312+1950 has raised
a problem in circumstellar chemistry if this object is really an oxygen-rich
evolved star, but its evolutional status is still controversial. In this paper,
we briefly review the previous observations of IRAS 19312+1950, as well as
presenting preliminary results of recent VLBI observations in maser lines.


title:
Fast kinetic Monte Carlo simulation of strained heteroepitaxy in three
  dimensions

abstract:
  Accelerated algorithms for simulating the morphological evolution of strained
heteroeptiaxy based on a ball and spring lattice model in three dimensions are
explained. We derive exact Green's function formalisms for boundary values in
the associated lattice elasticity problems. The computational efficiency is
further enhanced by using a superparticle surface coarsening approximation.
Atomic hoppings simulating surface diffusion are sampled using a multi-step
acceptance-rejection algorithm. It utilizes quick estimates of the atomic
elastic energies from extensively tabulated values modulated by the local
strain. A parameter controls the compromise between accuracy and efficiency of
the acceptance-rejection algorithm.


title: Exact solution describing a shallow water flow in an extending stripe

abstract:
  Partially invariant solution to (2+1)D shallow water equation is constructed
and investigated. The solution describes an extension of a stripe, bounded by
linear source and drain of fluid. Realizations of smooth flow and of hydraulic
jump are possible. Particle trajectories and sonic characteristics on the
obtained solution are calculated.


title:
Topological and geometrical disorder correlate robustly in
  two-dimensional foams

abstract:
  A 2D foam can be characterised by its distribution of bubble areas, and of
number of sides. Both distributions have an average and a width (standard
deviation). There are therefore at least two very different ways to
characterise the disorder. The former is a geometrical measurement, while the
latter is purely topological. We discuss the common points and differences
between both quantities. We measure them in a foam which is sheared, so that
bubbles move past each other and the foam is "shuffled" (a notion we discuss).
Both quantities are strongly correlated; in this case (only) it thus becomes
sufficient to use either one or the other to characterize the foam disorder. We
suggest applications to the analysis of other systems, including biological
tissues.


title:
Computation of mass loss from viscous accretion disc in presence of
  cooling

abstract:
  Rotating accretion flow may undergo centrifugal pressure mediated shock
transition even in presence of various dissipative processes, such as viscosity
and cooling mechanism. The extra thermal gradient force along the vertical
direction in the post shock flow drives a part of the accreting matter as
bipolar outflows which are believed to be the precursor of relativistic jets.
We compute mass loss rates from a viscous accretion disc in presence of
synchrotron cooling in terms of the inflow parameters. We show cooling
significantly affects the mass outflow rate, to the extent that, jets may be
generated from flows with higher viscosity. We discuss that our formalism may
be employed to explain observed jet power for a couple of black hole
candidates. We also indicate that using our formalism, it is possible to
connect the spectral properties of the disc with the rate of mass loss.


title:
Fault-tolerant quantum computation in concatenation of verified cluster
  states

abstract:
  A novel scheme is presented for fault-tolerant quantum computation based on
the cluster model. Some relevant logical cluster states are constructed in
concatenation by post-selection through verification, without necessity of
recovery operation, where a suitable code such as the Steane's 7-qubit code is
adopted for transversal operations. This simple concatenated construction of
verified cluster states achieves a high noise threshold ~1%, and restrains the
divergence of resources.


title:
Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and
  Curvaton Models

abstract:
  We study non-Gaussianity, the spectral index of primordial scalar
fluctuations and tensor modes in models where fluctuations from the inflaton
and the curvaton can both contribute to the present cosmic density
fluctuations. Even though simple single-field inflation models generate only
tiny non-Gaussianity, if we consider such a mixed scenario, large
non-Gaussianity can be produced. Furthermore, we study the inflationary
parameters such as the spectral index and the tensor-to-scalar ratio in this
kind of models and discuss in what cases models predict the spectral index and
tensor modes allowed by the current data while generating large
non-Gaussianity, which may have many implications for model-buildings of the
inflationary universe.


title:
Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev
  algebras

abstract:
  Reductivity in the Ma'tsev algebras is inquired. This property relates the
Mal'tsev algebras to the general Lie triple systems.


title: Generalized tomographic maps

abstract:
  We introduce several possible generalizations of tomography for quadratic
surfaces. We analyze different types of elliptic, hyperbolic and hybrid
tomograms. In all cases it is possible to consistently define the inverse
tomographic map. We find two different ways of introducing tomographic
sections. The first method operates by deformations of the standard Radon
transform. The second method proceeds by shifting a given quadric pattern. The
most general tomographic transformation can be defined in terms of marginals
over surfaces generated by deformations of complete families of hyperplanes or
quadrics. We discuss practical and conceptual perspectives and possible
applications.


title: Good deal bounds induced by shortfall risk

abstract:
  We shall provide in this paper good deal pricing bounds for contingent claims
induced by the shortfall risk with some loss function. Assumptions we impose on
loss functions and contingent claims are very mild. We prove that the upper and
lower bounds of good deal pricing bounds are expressed by convex risk measures
on Orlicz hearts. In addition, we obtain its representation with the minimal
penalty function. Moreover, we give a representation, for two simple cases, of
good deal bounds and calculate the optimal strategies when a claim is traded at
the upper or lower bounds of its good deal pricing bound.


title: Study of the top reconstruction in top-partner events at the LHC

abstract:
  In the Littlest Higgs model with T-parity (LHT), top-partners (T_-) are
produced in pairs at the Large Hadron Collider (LHC). Each top-partner decays
into a top quark (t) and the lightest T-odd gauge partner A_H. We demonstrate
reconstruction of the ttbar system decaying hadronically, and measurement of
the top-partner mass from the m_{T2} distribution. A top quark from a T_{-}
decay is polarized, and we discuss the effect of this polarization on the decay
distributions. Because the events consist of highly collinear jets which
occasionally overlap each other, we compare distributions using different jet
reconstruction algorithms (Snowmass cone, kt, Cambridge, SISCone). We find
clustering algorithms are advantageous for studying top polarization effects.


title: Spectral Continuity in Dense QCD

abstract:
  The vector mesons in three-flavor quark matter with chiral and diquark
condensates are studied using the in-medium QCD sum rules. The diquark
condensate leads to a mass splitting between the flavor-octet and
flavor-singlet channels. At high density, the singlet vector meson disappears
from the low-energy spectrum, while the octet vector mesons survive as light
excitations with a mass comparable to the fermion gap. A possible connection
between the light gluonic modes and the flavor-octet vector mesons at high
density is also discussed.


title: A frustrated nanomechanical device powered by the lateral Casimir force

abstract:
  The coupling between corrugated surfaces due to the lateral Casimir force is
employed to propose a nanoscale mechanical device composed of two racks and a
pinion. The noncontact nature of the interaction allows for the system to be
made frustrated by choosing the two racks to move in the same direction and
forcing the pinion to choose between two opposite directions. This leads to a
rich and sensitive phase behavior, which makes the device potentially useful as
a mechanical {\em sensor} or {\em amplifier}. The device could also be used to
make a mechanical {\em clock} signal of tunable frequency.


title:
Estimates for the Maxwell field near the spatial and null infinity of
  the Schwarzschild spacetime

abstract:
  It is shown how the gauge of the ``regular finite initial value problem at
spacelike infinity'' can be used to construct a certain type of estimates for
the Maxwell field propagating on a Schwarzschild background. These estimates
are constructed with the objective of obtaining information about the
smoothness near spacelike and null infinity of a wide class of solutions to the
Maxwell equations.


title:
SPH simulations of star/planet formation triggered by cloud-cloud
  collisions

abstract:
  We present results of hydrodynamic simulations of star formation triggered by
cloud-cloud collisions. During the early stages of star formation, low-mass
objects form by gravitational instabilities in protostellar discs. A number of
these low-mass objects are in the sub-stellar mass range, including a few
objects of planetary mass. The disc instabilities that lead to the formation of
low-mass objects in our simulations are the product of disc-disc interactions
and/or interactions between the discs and their surrounding gas.


title:
A unified molecular level mechanism for the universal alpha- and
  Johari-Goldstein beta-relaxations in glassformers

abstract:
  We presented that the relaxation of n coupling molecules in a molecular
string exhibits n individual relaxation modes (RMs), each mode being
characterized by a definite relaxation time and amplitude according to the
string model. The n RMs behaving a single relaxation at high temperature,
evolves to two relaxation species, at low temperature, with different
temperature dependences for the respective relaxation times and amplitudes.
Since the characteristics of the two relaxation species are in agreement with
those exhibited by the universal alpha- and Johari-Goldstein (JG)
beta-relaxations in glass dynamics, we provided a unified molecular level
mechanism for these two processes.


title:
A Multi-epoch VLBI Survey of the Kinematics of Caltech-Jodrell Bank
  Flat-Spectrum Sources, Part II: Analysis of the Kinematics

abstract:
  Context: This is the second of a series of papers presenting VLBI
observations of the 293 Caltech-Jodrell Bank Flat-Spectrum (hereafter CJF)
sources and their analysis. Aims: To obtain a consistent motion dataset large
enough to allow the systematic properties of the population to be studied.
Methods: We present the detailed kinematic analysis of the complete
flux-density limited CJF survey. We computed 2-D kinematic models based on the
optimal model-fitting parameters of multi-epoch VLBA observations. This allows
us to calculate not only radial, but also orthogonal motions, and thus to study
curvature and acceleration. Statistical tests of the motions measured and their
reliability have been performed. A correlation analysis between the derived
apparent motions, luminosities, spectral indices, and core dominance and the
resulting consequences is described. Results: With at least one velocity in
each of 237 sources, this sample is much larger than any available before and
allows a meaningful statistical investigation of apparent motions and any
possible correlations with other parameters in AGN jets. Conclusions: This AGN
survey provides the basis for any statistical analysis of jet and jet-component
properties.


title:
Positional Coincidence of H2O Maser and a Plasma Obscuring Torus in
  Radio Galaxy NGC 1052

abstract:
  We present multi-frequency simultaneous VLBA observations at 15, 22 and 43
GHz towards the nucleus of the nearby radio galaxy NGC 1052. These three
continuum images reveal a double-sided jet structure, whose relative intensity
ratios imply that the jet axis is oriented close to the sky plane. The steeply
rising spectra at 15-43 GHz at the inner edges of the jets strongly suggest
that synchrotron emission is absorbed by foreground thermal plasma. We detected
H2O maser emission in the velocity range of 1550-1850 km/s, which is redshifted
by 50-350 km/s with respect to the systemic velocity of NGC 1052. The
redshifted maser gas appears projected against both sides of the jet, in the
same manner as the HI seen in absorption. The H2O maser gas are located where
the free-free absorption opacity is large. This probably imply that the masers
in NGC 1052 are associated with a circumnuclear torus or disk as in the nucleus
of NGC 4258. Such circumnuclear structure can be the sence of accreting onto
the central engine.


title:
Current driven spin-wave instability triggered by the anomalous Hall
  effect

abstract:
  We studied the effect of strong electric current on spin waves interacting
relativistically with the current. The spin-wave spectrum is calculated at
arbitrary direction of the wave vector. It is shown that the alternating Hall
current generated by the alternating magnetic moment of the spin waves, reduces
the spin-wave damping. At strong enough unpolarized dc current the damping
changes sign, and the spin-wave amplitude starts to increase exponentially fast
with time. The critical current for the spin-wave instability is determined
mainly by the anomalous Hall effect, and can be much smaller than that for the
spin-torque mechanism of instability.


title:
Amplitude calibration of a digital radio antenna array for measuring
  cosmic ray air showers

abstract:
  Radio pulses are emitted during the development of air showers, where air
showers are generated by ultra-high energy cosmic rays entering the Earth's
atmosphere. These nanosecond short pulses are presently investigated by various
experiments for the purpose of using them as a new detection technique for
cosmic particles. For an array of 30 digital radio antennas (LOPES experiment)
an absolute amplitude calibration of the radio antennas including the full
electronic chain of the data acquisition system is performed, in order to
estimate absolute values of the electric field strength for these short radio
pulses. This is mandatory, because the measured radio signals in the MHz
frequency range have to be compared with theoretical estimates and with
predictions from Monte Carlo simulations to reconstruct features of the primary
cosmic particle. A commercial reference radio emitter is used to estimate
frequency dependent correction factors for each single antenna of the radio
antenna array. The expected received power is related to the power recorded by
the full electronic chain. Systematic uncertainties due to different
environmental conditions and the described calibration procedure are of order
20%.


title: The dusty disk around VV Ser

abstract:
  We have carried out observations at millimeter and centimeter wavelengths
towards VV Ser using the Plateau de Bure Interferometer and the Very Large
Array. This allows us to compute the SED from near infrared to centimeter
wavelengths. The modeling of the full SED has provided insight into the dust
properties and a more accurate value of the disk mass.
  The mass of dust in the disk around VV Ser is found to be about 4 10^(-5)
Msun, i.e. 400 times larger than previous estimates. Moreoever, the SED can
only be accounted for assuming dust stratification in the vertical direction
across the disk. The existence of small grains (0.25--1 micron) in the disk
surface is required to explain the emission at near- and mid-infrared
wavelengths. The fluxes measured at millimeter wavelengths imply that the dust
grains in the midplane have grown up to very large sizes, at least to some
centimeters.


title:
Physical Programm and Acceleration of Polarized Light Nuclei Beams at
  Jinr Nuclotron

abstract:
  The physical spin program at high $p_T$ region and energies $s^{1/2}_{NN}
\sim 10 GeV$ is discussed. It's shown that cumulative processes, color
transparency problem and polarization phenomenons directly connect with
properties new form of the nuclear matter as Color Quark Condensate(CQC).
Studies of CQC one of the most important physical problem and can be realized
using polarized ion beams at JINR nuclotron-M (and in future at NICA). The
calculations of spin resonance strengthes in the linear approximation for p, d,
t and $^3He$ beams in the JINR nuclotron are presented. The methods to preserve
the degree of polarization during crossing the spin resonances are examined.
The method of matching the direction of polarization vector during the beam
injection in to the ring of the nuclotron is given. These methods of spin
resonance crossing can be used to accelerate polarized beams in the other
cyclic accelerators.


title: Supernovae and Cosmology

abstract:
  The extreme luminosity and their fairly unique temporal behaviour have made
supernovae a superb tool to measure distances in the universe. As complex
astrophysical events they provide interesting insights into explosion physics,
explosive nucleosynthesis, hydrodynamics of the explosion and radiation
transport. They are an end product of stellar evolution and provide clues to
the stellar composition. Since they can be observed at large distances they
have become critical probes to further explore astrophysical effects, like dust
properties in external galaxies and the star formation history of galaxies.
Some of the astrophysics interferes with the cosmological applications of
supernovae. The local velocity field, distorted by the gravitational attraction
of the local large scale structure, and the reddening law appear at the moment
the major limitations in the accuracy with which cosmological parameters can be
determined. These absorption effects can introduce a secondary bias into the
observations of the distant supernovae, which needs to be carefully evaluated.
Supernovae have been used for the measurement of the Hubble constant, i.e. the
current expansion rate of the universe, and the accelerated cosmic expansion
directly inferred from the apparent faintness of the distant supernovae.


title: The Security of Practical Quantum Key Distribution

abstract:
  Quantum key distribution (QKD) is the first quantum information task to reach
the level of mature technology, already fit for commercialization. It aims at
the creation of a secret key between authorized partners connected by a quantum
channel and a classical authenticated channel. The security of the key can in
principle be guaranteed without putting any restriction on the eavesdropper's
power.
  The first two sections provide a concise up-to-date review of QKD, biased
toward the practical side. The rest of the paper presents the essential
theoretical tools that have been developed to assess the security of the main
experimental platforms (discrete variables, continuous variables and
distributed-phase-reference protocols).


title: Global Stabilization by Means of Discrete-Delay Output Feedback

abstract:
  In the present work, sufficient conditions for global stabilization of
nonlinear uncertain systems by means of discrete-delay static output feedback
are presented. Illustrating examples show the efficiency of the proposed
control strategy.


title: Geometric phase and chiral anomaly; their basic differences

abstract:
  All the geometric phases are shown to be topologically trivial by using the
second quantized formulation. The exact hidden local symmetry in the
Schr\"{o}dinger equation, which was hitherto unrecognized, controls the
holonomy associated with both of the adiabatic and non-adiabatic geometric
phases. The second quantized formulation is located in between the first
quantized formulation and the field theory, and thus it is convenient to
compare the geometric phase with the chiral anomaly in field theory. It is
shown that these two notions are completely different.


title: Coronagraphic near-IR photometry of AB Dor C

abstract:
  Observations of low-mass companions for which the dynamical masses are well
constrained help to improve the calibration of evolutionary models. Such
observations thereby provide more confidence in the estimation of the mass of a
companion using the photometric methods expected for the next generation of
planet finder instruments. The commissioning of a new coronagraph at the Very
Large Telescope (VLT) was the occasion to test the performance of this
technique on the well-known object AB Dor A and its 0.09$M_\odot$ companion AB
Dor C. The purpose of this paper is to refine the photometric analysis on this
object and to provide an accurate photometric error budget. In addition to
coronagraphy, we calibrated the residual stellar halo with a reference star. We
used standard techniques for photometric extraction. The companion AB Dor C is
easily detected at 0.185" from the primary star, and its magnitudes in H and Ks
are in agreement with an M5.5 object, as already known from spectroscopic
observations. However, these new measurements make the earlier J-band
photometry less reliable. Finally, the comparison with evolutionary models
supports an age of (75\pm 25) Myr, contrary to previous analyses. These
observations demonstrate that coronagraphic observations can be more efficient
than direct imaging, not only to improve contrast, but also to provide a better
photometric estimation as long as a good calibration of the stellar halo is
achieved.


title: Mode-Locking in a Free-Electron Laser Amplifier

abstract:
  A technique is proposed to generate attosecond pulse trains of radiation from
a Free-Electron Laser amplifier. The optics-free technique synthesises a comb
of longitudinal modes by applying a series of spatio-temporal shifts between
the co-propagating radiation and electron bunch in the FEL. The modes may be
phase-locked by modulating the electron beam energy at the mode spacing
frequency. Three-dimensional simulations demonstrate the generation of a train
of 400as pulses at giga-watt power levels evenly spaced by 2.5fs at a
wavelength of 124 Angstrom. In the X-ray at wavelength 1.5 Angstrom, trains of
23as pulses evenly spaced by 150as and of peak power up to 6GW are predicted.


title: Deterministic Quantum Distribution of a d-ary key

abstract:
  We present an extension to a d-ary alphabet of a recently proposed
deterministic quantum key distribution protocol. It relies on the use of
mutually unbiased bases in prime power dimension d, for which we provide an
explicit expression. Then, by considering a powerful individual attack, we show
that the security of the protocol is maximal for d=3.


title:
Nuclear Half-Lives for Alpha Radioactivity of Elements with 100 $\leq$ Z
  $\leq$ 130

abstract:
  Theoretical estimates for the half lives of about 1700 isotopes of heavy
elements with Z from 100 to 130 are tabulated using theoretical Q-values. The
quantum mechanical tunneling probabilities are calculated within a WKB
framework using microscopic nuclear potentials. The microscopic nucleus-nucleus
potentials are obtained by folding the densities of interacting nuclei with a
density dependent M3Y (DDM3Y) effective nucleon-nucleon interaction. The
alpha-decay half lives calculated in this formalism using the experimental
Q-values were found to be in good agreement over a wide range of experimental
data spanning about twenty orders of magnitude. The theoretical Q-values used
for the present calculations are extracted from three different mass estimates
viz. Myers-Swiatecki [MS], Muntian-Hofmann-Patyk-Sobiczewski [M] and
Koura-Tachibana-Uno-Yamada [KUTY].


title:
Coupling efficiency for phase locking of a spin transfer oscillator to a
  microwave current

abstract:
  The phase locking behavior of spin transfer nano-oscillators (STNOs) to an
external microwave signal is experimentally studied as a function of the STNO
intrinsic parameters. We extract the coupling strength from our data using the
derived phase dynamics of a forced STNO. The predicted trends on the coupling
strength for phase locking as a function of intrinsic features of the
oscillators i.e. power, linewidth, agility in current, are central to optimize
the emitted power in arrays of mutually coupled STNOs.


title:
Gaussian decomposition of HI surveys. IV. Galactic intermediate- and
  high-velocity clouds

abstract:
  Traditionally IVC and HVC were defined to be concentrations of HI gas, with
line-of-sight velocities that are inconsistent with data on the differential
rotation of the Galaxy. We demonstrate that IVCs and HVCs can be identified
from certain density enhancements in (V_C, FWHM) distribution of Gaussians,
representing the Galactic HI 21 cm radio lines. We study the Gaussians, which
parameters fall into the regions of the phase-space density enhancements about
$(V_C, FWHM) = (-131, 27), (164, 26) and (-49 km/s, 23 km/s). The sky
distribution of the Gaussians, corresponding to the first two concentrations,
very well represents the sky distribution of HVCs, as obtained on the basis of
the traditional definition of these objects. The Gaussians of the last
concentration correspond to IVCs. Based on this identification, the division
line between IVCs and HVCs can be drawn at about |V_C| = 74 km/s, and IVCs can
be identified down to velocities of about |V_C| = 24 km/s. Traces of both IVCs
and HVCs can also be seen in the sky distribution of Gaussians with FWHM = 7.3
km/s. In HVCs, these cold cores have small angular dimensions and low observed
brightness temperatures T_b. In IVCs, the cores are both larger and brighter.
This definition of IVCs and HVCs is less dependant than the traditional one, on
the differential rotation model of the Galaxy. The consideration of line-width
information may enable IVCs and HVCs to be better distinguished from each
other, and from the ordinary Galactic HI


title: Stability of Vortex Phases in Ferroelectric Easy-Plane nano-Cylinders

abstract:
  Bounded charges induced by the polarization gradient in finite-size
ferroelectrics are known to produce the unfavorable depolarization electric
field that suppresses the uniform ferroelectric state. To reduce the
depolarization energy the non-uniform vortex (toroidal) state is formed inside
ferroelectric nano-particles, nano-disks, and nano-rods. Based on
self-consistent solution of Ginzburg-Landau equations coupled with
electrostatic equations, we study the multivortex toroidal states appearing in
the nanometric easy-plane ferroelectric cylinder. The geometrical textures,
critical temperatures and stability regions for these states are calculated.


title: Illusory versus Genuine Control in Agent-Based Games

abstract:
  In the Minority, Majority and Dollar Games (MG, MAJG, $G), synthetic agents
compete for rewards, at each time-step acting in accord with the previously
best-performing of their limited sets of strategies. Different components
and/or aspects of real-world financial markets are modelled by these games. In
the MG, agents compete for scarce resources; in the MAJG gents imitate the
group in the hope of exploiting a trend; in the $G agents attempt to
successfully predict and benefit from trends as well as changes in the
direction of a market. It has been previously shown that in the MG for a
reasonable number of preliminary time steps preceding equilibrium (Time Horizon
MG, THMG), agents' attempt to optimize their gains by active strategy selection
is ``illusory'': The calculated hypothetical gains of their individual
strategies is greater on average than agents' actual average gains.
Furthermore, if a small proportion of agents deliberately choose and act in
accord with their seemingly worst performing strategy, these outper-form all
other agents on average, and even attain mean positive gain, otherwise rare for
agents in the MG. This latter phenomenon raises the question as to how well the
optimization procedure works in the MAJG and $G. We demonstrate that the
illusion of control is absent in MAJG and $G. In other words, low-entropy (more
informative) strategies under-perform high-entropy (or random) strategies in
the MG but outperform them in the MAJG and $G. This provides further
clarification of the kinds of situations subject to genuine control, and those
not, in set-ups a priori defined to emphasize the importance of optimization.


title: On the Cepheid Metallicity Dichotomy

abstract:
  With the aid of stellar atmosphere models, we derive iron abundances [Fe/H]
from the OGLE B, V, I photometry on the Magellanic Cloud Cepheids. We show that
in both clouds the average metallicities of the first overtone variables are
lower than those of the fundamental ones (by ~0.2 and ~0.3 dex in the LMC and
SMC, respectively). Consequently, there is a correlation between the overall
[Fe/H] and luminosity; the lower luminosity stars tend to be also of lower
metallicity. These metallicity dependencies are concordant with the ones
derived for the two types of double-mode Cepheids from pulsation theory. Yet
another support of this dichotomy comes from the evolution theories that
require lower metallicities for blue-looping low-luminosity stars than for
high-luminosity ones. We also comment on the possibility of using
period-luminosity-color relations to derive more accurate metallicities.


title: Coexistence of qubit effects

abstract:
  Two quantum events, represented by positive operators (effects), are
coexistent if they can occur as possible outcomes in a single measurement
scheme. Equivalently, the corresponding effects are coexistent if and only if
they are contained in the ranges of a single (joint) observable. Here we give
several equivalent characterizations of coexistent pairs of qubit effects. We
also establish the equivalence between our results and those obtained
independently by other authors. Our approach makes explicit use of the
Minkowski space geometry inherent in the four-dimensional real vector space of
selfadjoint operators in a two-dimensional complex Hilbert space.


title: Westerlund 1 as a Template for Massive Star Evolution

abstract:
  With a dynamical mass M_dyn ~ 1.3x10e5 M_sun and a lower limit M_cl>5x10e4
M_sun from star counts, Westerlund 1 is the most massive young open cluster
known in the Galaxy and thus the perfect laboratory to study massive star
evolution. We have developed a comprehensive spectral classification scheme for
supergiants based on features in the 6000-9000A range, which allows us to
identify >30 very luminous supergiants in Westerlund 1 and ~100 other less
evolved massive stars, which join the large population of Wolf-Rayet stars
already known. Though detailed studies of these stars are still pending,
preliminary rough estimates suggest that the stars we see are evolving to the
red part of the HR diagram at approximately constant luminosity.


title: String theory, gravity and experiment

abstract:
  The aim of these lectures is to give an introduction to several topics which
lie at the intersection of string theory, gravity theory and gravity
phenomenology. One successively reviews: (i) the "membrane" approach to the
dissipative dynamics of classical black holes, (ii) the current experimental
tests of gravity, and their theoretical interpretation, (iii) some aspects of
the string-inspired phenomenology of the gravitational sector, and (iv) some
possibilities for observing string-related signals in cosmology (including a
discussion of gravitational wave signals from cosmic superstrings).


title:
Cluster Expansion Method for Evolving Weighted Networks Having
  Vector-like Nodes

abstract:
  The Cluster Variation Method known in statistical mechanics and condensed
matter is revived for weighted bipartite networks. The decomposition of a
Hamiltonian through a finite number of components, whence serving to define
variable clusters, is recalled. As an illustration the network built from data
representing correlations between (4) macro-economic features, i.e. the so
called $vector$ $components$, of 15 EU countries, as (function) nodes, is
discussed. We show that statistical physics principles, like the maximum
entropy criterion points to clusters, here in a (4) variable phase space: Gross
Domestic Product (GDP), Final Consumption Expenditure (FCE), Gross Capital
Formation (GCF) and Net Exports (NEX). It is observed that the $maximum$
entropy corresponds to a cluster which does $not$ explicitly include the GDP
but only the other (3) ''axes'', i.e. consumption, investment and trade
components. On the other hand, the $minimal$ entropy clustering scheme is
obtained from a coupling necessarily including GDP and FCE. The results confirm
intuitive economic theory and practice expectations at least as regards
geographical connexions. The technique can of course be applied to many other
cases in the physics of socio-economy networks.


title: A Fully Numerical Approach to One-Loop Amplitudes

abstract:
  We suggest a new approach for the automatic and fully numerical evaluation of
one-loop scattering amplitudes in perturbative quantum field theory. We use
suitably formulated dispersion relations to perform the calculation as a
convolution of tree-level amplitudes. This allows to take advantage of the
iterative numerical algorithms for the evaluation of leading order matrix
elements.


title: Memory effects in a Markov chain dephasing channel

abstract:
  We study a dephasing channel with memory, modelled by a Markov chain. We show
that even weak memory effects have a detrimental impact on the performance of
quantum error correcting schemes designed for uncorrelated errors. We also
discuss an alternative scheme that takes advantage of memory effects to protect
quantum information.


title: The top quark jet-function at two loops

abstract:
  Far above threshold the production process e^+e^-to t t-bar can be analyzed
using effective field theories. In this talk we consider the invariant mass
distribution of top-jets and report about our computation of the two-loop heavy
quark jet-function. This is a key part of a next-to-next-to-leading order
analysis, and already allows for a resummation of all large logs which effect
the shape of the top-invariant mass distribution at next-to-next-to-leading log
order. A top-mass scheme is defined which is suitable for measurements
involving jets, and whose anomalous dimension is determined by the
cusp-anomalous dimension to all orders in perturbation theory.


title:
Inelastic quantum transport: the self-consistent Born approximation and
  correlated electron-ion dynamics

abstract:
  A dynamical method for inelastic transport simulations in nanostructures is
compared with a steady-state method based on non-equilibrium Green's functions.
A simplified form of the dynamical method produces, in the steady state in the
weak-coupling limit, effective self-energies analogous to those in the Born
Approximation due to electron-phonon coupling. The two methods are then
compared numerically on a resonant system consisting of a linear trimer weakly
embedded between metal electrodes. This system exhibits enhanced heating at
high biases and long phonon equilibration times. Despite the differences in
their formulation, the static and dynamical methods capture local
current-induced heating and inelastic corrections to the current with good
agreement over a wide range of conditions, except in the limit of very high
vibrational excitations, where differences begin to emerge.


title: Temperature-dependence of the phase-coherence length in InN nanowires

abstract:
  We report on low-temperature magnetotransport measurements on InN nanowires,
grown by plasma-assisted molecular beam epitaxy. The characteristic fluctuation
pattern observed in the conductance was employed to obtain information on
phase-coherent transport. By analyzing the root-mean-square and the correlation
field of the conductance fluctuations at various temperatures the
phase-coherence length was determined.


title:
The Hagedorn Temperature and Open QCD-String Tachyons in Pure N=1 Super
  Yang-Mills

abstract:
  We consider large-N confining gauge theories with a Hagedorn density of
states. In such theories the potential between a pair of colour-singlet sources
may diverge at a critical distance r_c = 1/ T_H. We consider, in particular,
pure N=1 super Yang-Mills theory and argue that when a domain-wall and an anti
domain-wall are brought to a distance near r_c the interaction potential is
better described by an ``open QCD-string channel''. We interpret the divergence
of the potential in terms of a tachyonic mode and relate its mass to the
Hagedorn temperature. Finally we relate our result to a theorem of Kutasov and
Seiberg and argue that the presence of an open string tachyonic mode in the
annulus amplitude implies an exponential density of states in the UV of the
closed string channel.


title: Black Hole in ADS and Quantum Field Theory

abstract:
  I will present a short review of recent achievements in understanding the
origin of the statistical properties versus the thermodynamical ones for Anti
De Sitter space--time, ADS$_{n+1}$ from the point of view of the "dual" field
theory defined on the boundary of ADS$_{{n+1}}$ conformal invariant, CFT$_n$.
  We try to convince the audience that the symmetries of Quantum Field Theory
at the critical points are, on one side, at the basis of the thermodynamical
properties of Black Hole solution, i.e. the Hawking temperature $T_H$ and the
entropy $S_H$; on the other side the CFT$_n$ in Euclidean time determines the
statistical properties of BH.


title:
Spectral irradiance variations: Comparison between observations and the
  SATIRE model on solar rotation time scales

abstract:
  Aims: We test the reliability of the observed and calculated spectral
irradiance variations between 200 and 1600 nm over a time span of three solar
rotations in 2004.
  Methods: We compare our model calculations to spectral irradiance
observations taken with SORCE/SIM, SoHO/VIRGO and UARS/SUSIM. The calculations
assume LTE and are based on the SATIRE (Spectral And Total Irradiance
REconstruction) model. We analyse the variability as a function of wavelength
and present time series in a number of selected wavelength regions covering the
UV to the NIR. We also show the facular and spot contributions to the total
calculated variability.
  Results: In most wavelength regions, the variability agrees well between all
sets of observations and the model calculations. The model does particularly
well between 400 and 1300 nm, but fails below 220 nm as well as for some of the
strong NUV lines. Our calculations clearly show the shift from
faculae-dominated variability in the NUV to spot-dominated variability above
approximately 400 nm. We also discuss some of the remaining problems, such as
the low sensitivity of SUSIM and SORCE for wavelengths between approximately
310 and 350 nm, where currently the model calculations still provide the best
estimates of solar variability.


title:
Initial condition of the string relaxation equation of the string model
  for glass transition: part-I

abstract:
  The string relaxation equation (SRE) of the string model for the glass
transition contains the well-known Debye and Rouse-Zimm relaxation equations.
However, its initial condition, necessary to the model predictions of glassy
dynamics, such as the mechanism of the universal primary alpha- and
Johari-Goldstein beta-relaxations in glassformers, has not been solved. In this
paper, the special initial condition (SIC) of the SRE of straight strings for
dielectric spectrum technique, which is one of the most common methods to
measure the glassy dynamics, was tentatively calculated by a direct calculation
method, finding that the method has not any practical feasibility. However, a
recursive calculation method was developed that allows to obtain the SIC
exactly. It should be expected that the obtained SIC would benefit the thorough
solution of the general initial condition of the SRE of the string model for
stochastically spatially configurating strings, as will be described in
separate publications.


title:
Ni+ reactions with aminoacetonitrile, a potential prebiological
  precursor of glycine

abstract:
  The gas-phase reactions between Ni+ (2D5/2) and aminoacetonitrile, a molecule
of prebiological interest as possible precursor of glycine, have been
investigated by means of mass spectrometry techniques. The mass-analyzed ion
kinetic energy (MIKE) spectrum reveals that the adduct ions [NCCH2NH2, Ni+]
spontaneously decompose by loosing HCN, H2, and H2CNH, the loss of hydrogen
cyanide being clearly dominant. The structures and bonding characteristics of
the aminoacetonitrile-Ni+ complexes as well as the different stationary points
of the corresponding potential energy surface (PES) have been theoretically
studied by density functional theory (DFT) calculations carried out at
B3LYP/6-311G(d,p) level. A cyclic intermediate, in which Ni+ is bisligated to
the cyano and the amino group, plays an important role in the unimolecular
reactivity of these ions, because it is the precursor for the observed losses
of HCN and H2CNH. In all mechanisms associated with the loss of H2, the metal
acts as hydrogen carrier favoring the formation of the H2 molecule. The
estimated bond dissociation energy of aminoacetonitrile-Ni+ complexes (291 kJ
mol-1) is larger than those measured for other nitrogen bases such as pyridine
or pyrimidine and only slightly smaller than that of adenine.


title: The topology of syntax relations of a formal language

abstract:
  The method of constructing of Grothendieck's topology basing on a
neighbourhood grammar, defined on the category of syntax diagrams is described
in the article. Syntax diagrams of a formal language are the multigraphs with
nodes, signed by symbols of the language's alphabet. The neighbourhood grammar
allows to select correct syntax diagrams from the set of all syntax diagrams on
the given alphabet by mapping an each correct diagram to the cover consisted of
the grammar's neighbourhoods. Such the cover gives rise to Grothendieck's
topology on category of correct syntax diagrams extended by neighbourhoods'
diagrams. An each object of the category may be mapped to the set of meanings
(abstract senses) of this syntax construction. So, the contrvariant functor
from category of correct syntax diagrams to category of sets is defined. The
given category of contravariant functors likes to be seen as the convenient
means to think about relations between syntax and semantic of a formal
language. The sheaves of set defined on category of contravariant functors are
the objects that satisfy of compositionality principle defined in the semantic
analysis.


title:
A Multi-Epoch VLBI Survey of the Kinematics of CJF Sources; Part I:
  Model-Fit Parameters and Maps

abstract:
  Context: This is the first of a series of papers presenting VLBI observations
of the 293 Caltech-Jodrell Bank Flat-Spectrum (hereafter CJF) sources and their
analysis. Aims: One of the major goals of the CJF is to make a statistical
study of the apparent velocities of the sources. Methods: We have conducted
global VLBI and VLBA observations at 5 GHz since 1990, accumulating thirteen
separate observing campaigns. Results: We present here an overview of the
observations, give details of the data reduction and present the source
parameters resulting from a model-fitting procedure. For every source at every
observing epoch, an image is shown, built up by restoring the model-fitted
components, convolved with the clean beam, into the residual image, which was
made by Fourier transforming the visibility data after first subtracting the
model-fitted components in the uv-plane. Overplotted we show symbols to
represent the model components. Conclusions: We have produced VLBI images of
all but 5 of the 293 sources in the complete CJF sample at several epochs and
investigated the kinematics of 266 AGN.


title: Orbit measures and interlaced determinantal point processes

abstract:
  We study some random interlaced configurations considering the eigenvalues of
the main minors of Hermitian random matrices of the classical complex Lie
algebras. We claim that these random configurations are determinantal and give
their correlation kernels.


title: Spin glass behavior in an interacting gamma-Fe2O3 nanoparticle system

abstract:
  In this paper we investigate the superspin glass behavior of a concentrated
assembly of interacting maghemite nanoparticles and compare it to that of
canonical atomic spin glass systems. ac versus temperature and frequency
measurements show evidence of a superspin glass transition taking place at low
temperature. In order to fully characterize the superspin glass phase, the
aging behavior of both the thermo-remanent magnetization (TRM) and ac
susceptibility has been investigated. It is shown that the scaling laws obeyed
by superspin glasses and atomic spin glasses are essentially the same, after
subtraction of a superparamagnetic contribution from the superspin glass
response functions. Finally, we discuss a possible origin of this
superparamagnetic contribution in terms of dilute spin glass models.


title: Depth of Boolean algebras

abstract:
  We prove a Theorem about the relationship between the Depth of the
ultraproduct of Boolean algebras, divided by an ultrafilter, and the products
of the depths of each component. This answers (partly) an open problem of Monk.


title: On the product of vector spaces in a commutative field extension

abstract:
  Let $K \subset L$ be a commutative field extension. Given $K$-subspaces $A,B$
of $L$, we consider the subspace $<AB>$ spanned by the product set $AB=\{ab
\mid a \in A, b \in B\}$. If $\dim_K A = r$ and $\dim_K B = s$, how small can
the dimension of $<AB>$ be? In this paper we give a complete answer to this
question in characteristic 0, and more generally for separable extensions. The
optimal lower bound on $\dim_K < AB>$ turns out, in this case, to be provided
by the numerical function $$ \kappa_{K,L}(r,s) = \min_{h} (\lceil r/h\rceil +
\lceil s/h\rceil -1)h, $$ where $h$ runs over the set of $K$-dimensions of all
finite-dimensional intermediate fields $K \subset H \subset L$. This bound is
closely related to one appearing in additive number theory.


title: The concept of bounded mean motion for toral homeomorphisms

abstract:
  A conservative irrational pseudo-rotation of the two-torus is semi-conjugate
to the irrational rotation if and only if it has the property of bounded mean
motion [10]. (Here 'irrational pseudo-rotation' means a toral homeomorphism
with uniquely defined, totally irrational rotation vector.) The aim of this
note is to explore this concept some further. For instance, we provide an
example which shows that the preceding statement does not hold in the
non-conservative case. Further, we collect a number of observations concerning
the case where the bounded mean motion property fails. In particular, we show
that a non-wandering irrational pseudo-rotation of the two-torus with unbounded
mean motion has sensitive dependence on initial conditions.


title: Linear free divisors and Frobenius manifolds

abstract:
  We study linear functions on fibrations whose central fibre is a linear free
divisor. We analyse the Gauss-Manin system associated to these functions, and
prove the existence of a primitive and homogenous form. As a consequence, we
show that the base space of the semi-universal unfolding of such a function
carries a Frobenius manifold structure.


title:
The electronic transport properties and microstructure of carbon
  nanofiber/epoxy composites

abstract:
  Carbon nanofibres (CNF) were dispersed into an epoxy resin using a
combination of ultrasonication and mechanical mixing. The electronic transport
properties of the resulting composites were investigated by means of impedance
spectroscopy. It was found that a very low critical weight fraction (pc = 0.064
wt %) which may be taken to correspond to the formation of a tunneling
conductive network inside the matrix. The insulator-to-conductor transition
region spanned about one order of magnitude from 0.1 to 1 wt %. Far from the
transition, the conductivity increased by two orders of magnitude. This
increase and the low value of the conductivity were explained in terms of the
presence of an epoxy film at the contact between CNF. A simple model based on
the CNF-CNF contact network inside the matrix was proposed in order to evaluate
the thickness of that film.


title:
Bayesian Estimation of Inequalities with Non-Rectangular Censored Survey
  Data

abstract:
  Synthetic indices are used in Economics to measure various aspects of
monetary inequalities. These scalar indices take as input the distribution over
a finite population, for example the population of a specific country. In this
article we consider the case of the French 2004 Wealth survey. We have at hand
a partial measurement on the distribution of interest consisting of bracketed
and sometimes missing data, over a subsample of the population of interest. We
present in this article the statistical methodology used to obtain point and
interval estimates taking into account the various uncertainties. The
inequality indices being nonlinear in the input distribution, we rely on a
simulation based approach where the model for the wealth per household is
multivariate. Using the survey data as well as matched auxiliary tax
declarations data, we have at hand a quite intricate non-rectangle
multidimensional censoring. For practical issues we use a Bayesian approach.
Inference using Monte-Carlo approximations relies on a Monte-Carlo Markov chain
algorithm namely the Gibbs sampler. The quantities interesting to the decision
maker are taken to be the various inequality indices for the French population.
Their distribution conditional on the data of the subsample are assumed to be
normal centered on the design-based estimates with variance computed through
linearization and taking into account the sample design and total nonresponse.
Exogeneous selection of the subsample, in particular the nonresponse mechanism,
is assumed and we condition on the adequate covariates.


title:
HyperSmooth : calcul et visualisation de cartes de potentiel
  interactives

abstract:
  The HyperCarte research group wishes to offer a new cartographic tool for
spatial analysis of social data, using the potential smoothing method. The
purpose of this method is to view the spreading of phenomena's in a continuous
way, at a macroscopic scale, basing on data sampled on administrative areas. We
aim to offer an interactive tool, accessible via the Web, but guarantying the
confidentiality of data. The major difficulty is induced by the high complexity
of the calculus, working on a great amount of data. We present our solution to
such a technical challenge, and our perspectives of enhancements.


title: Maxisets for Model Selection

abstract:
  We address the statistical issue of determining the maximal spaces (maxisets)
where model selection procedures attain a given rate of convergence. By
considering first general dictionaries, then orthonormal bases, we characterize
these maxisets in terms of approximation spaces. These results are illustrated
by classical choices of wavelet model collections. For each of them, the
maxisets are described in terms of functional spaces. We take a special care of
the issue of calculability and measure the induced loss of performance in terms
of maxisets.


title:
A remark on the paper ``Randomizing quantum states: Constructions and
  applications''

abstract:
  The concept of $\e$-randomizing quantum channels has been introduced by
Hayden, Leung, Shor and Winter in connection with approximately encrypting
quantum states. They proved using a discretization argument that sets of
roughly $d \log d$ random unitary operators provide examples of such channels
on $\C^d$. We show that a simple trick improves the efficiency of the argument
and reduces the number of unitary operators to roughly $d$.


title: Unbiased computation of transition times by pathway recombination

abstract:
  In many systems, the time scales of the microscopic dynamics and macroscopic
dynamics of interest are separated by many orders of magnitude. Examples
abound, for instance nucleation, protein folding, and chemical reactions. For
these systems, direct simulation of phase space trajectories does not
efficiently determine most physical quantities of interest. The last decade has
seen the advent of methods circumventing brute force simulation. For most
dynamical quantities, these methods all share the drawback of systematical
errors. We present a novel method for generating ensembles of phase space
trajectories. By sampling small pieces of these trajectories in different phase
space domains and piecing them together in a smart way using equilibrium
properties, we obtain physical quantities such as transition times. This method
does not have any systematic error and is very efficient; the computational
effort to calculate the first passage time across a free energy barrier does
not increase with the height of the barrier. The strength of the method is
shown in the Ising model. Accurate measurements of nucleation times span almost
ten orders of magnitude and reveal corrections to classical nucleation theory.


title:
Gradient Flows for Optimisation and Quantum Control: Foundations and
  Applications

abstract:
  For addressing optimisation tasks on finite dimensional quantum systems, we
give a comprehensive account of the foundations of gradient flows on Riemannian
manifolds including new developments: we extend former results from Lie groups
such as the full unitary group to closed subgroups like partitionings by
factorisation into tensor products, where the finest partitioning consists of
purely local unitary operations. Moreover, the common framework is kept
sufficiently general and allows for setting up gradient flows on
(sub-)manifolds, Lie (sub-)groups, quotient groups, and reductive homogeneous
spaces. Relevant convergence conditions are discussed meant to serve as
justification for recent and new achievements, and as foundation for further
research.
  Exploiting the differential geometry of quantum dynamics under different
scenarios helps to provide highly useful algorithms: (a) On an abstract level,
gradient flows may establish the exact upper bounds of pertinent quality
functions, i.e. upper bounds reachable within the underlying manifold of the
state space dynamics; (b) in a second stage referring to a concrete
experimental setting, gradient flows on the manifold of piecewise constant
control amplitudes $\R^m$ may be set up to provide (approximations to) optimal
control of quantum devices under realistic conditions.
  Illustrative examples and new applications are given relating to distance
measures of pure-state entanglement. We establish the correspondence to best
rank-1 approximations of higher-order tensors.


title: The growth of matter perturbations in some scalar-tensor DE models

abstract:
  We consider asymptotically stable scalar-tensor dark energy (DE) models for
which the equation of state parameter $w_{DE}$ tends to zero in the past. The
viable models are of the phantom type today, however this phantomness is milder
than in General Relativity if we take into account the varying gravitational
constant when dealing with the SNIa data. We study further the growth of matter
perturbations and we find a scaling behaviour on large redshifts which could
provide an important constraint. In particular the growth of matter
perturbations on large redshifts in our scalar-tensor models is close to the
standard behaviour $\delta_m \propto a$, while it is substantially different
for the best-fit model in General Relativity for the same parametrization of
the background expansion. As for the growth of matter perturbations on small
redshifts, we show that in these models the parameter $\gamma'_0\equiv
\gamma'(z=0)$ can take absolute values much larger than in models inside
General Relativity. Assuming a constant $\gamma$ when $\gamma'_0$ is large
would lead to a poor fit of the growth function $f$. This provides another
characteristic discriminative signature for these models.


title:
Search for the Reasons of Josephson Like Behavior of Thin Granular
  Carbon Films

abstract:
  This review is described some new results in the studies of anomalous
electromagnetic of thin carbon films. Starting with historical sketch of
studies of superconductivity and electromagnetic in carbonaceous materials the
efforts of such persons as the Nobel Prize winners Vitaly L.Ginzburg and
W.A.Little, the Polish outstanding scientist K.Antonowicz, the Americans
J.T.Chen, Liren Zhao and Bor Z. Jang, the German researcher P.Esquinazy and his
group, the Russian scientists T.L.Makarova, V.I.Tsebro, O.E.Omelyanovskii and
A.P. Moravskii, and the Chinese scientists G.M.Zhao and Y.S.Wang has been
mentioned. The work presents the study of some new anomalous electromagnetic
effects in graphite-like thin carbon films. These are: The fast switching (10-9
sec) of electrical conductivity The detection of microwave radiation and its
temperature dependence The oscillations of film stack magnetization in a
magnetic field of 1-5 T The generation of optical radiation during the
spasmodic switching of conductivity These effects are explained to be the
consequence of carbon films granular structure, which can be considered as the
Josephson junction array (JJA). The description of theory of the reversed ac
Josephson effect (RJE) and its application to the search of high-temperature
superconducting (SC) phase in granular materials was done. As for magnetic
properties the description of the technique of P.Barbara and co-workers,
A.P.Nielsen e.a., C.Auletta et al., Mahesh Chandran and other scientists on
studies of two-dimensional JJA has been added. The both mentioned techniques
have been applied to analyze the data on electromagnetic measurements in the
thin granular carbon films.


title: Some properties of the Ukrainian writing system

abstract:
  We investigate the grapheme-phoneme relation in Ukrainian and some properties
of the Ukrainian version of the Cyrillic alphabet.


title:
Clusters, columns, and lamellae - minimum energy configurations in core
  softened potentials

abstract:
  We give evidence that particles interacting via the simple, radially
symmetric square-shoulder potential can self-organize in highly complex,
low-symmetry lattices, forming thereby clusters, columns, or lamellae; only at
high pressure compact, high-symmetry structures are observed. Our search for
these ordered equilibrium structures is based on ideas of genetic algorithms, a
strategy that is characterized by a high success rate. A simple mean-field type
consideration complements these findings and locates in a semi-quantitative way
the cross-over between the competing structures.


title: The empirical equilibrium structure of diacetylene

abstract:
  High-level quantum-chemical calculations are reported at the MP2 and CCSD(T)
levels of theory for the equilibrium structure and the harmonic and anharmonic
force fields of diacetylene, HCCCCH. The calculations were performed employing
Dunning's hierarchy of correlation-consistent basis sets cc-pVXZ, cc-pCVXZ, and
cc-pwCVXZ, as well as the ANO2 basis set of Almloef and Taylor. An empirical
equilibrium structure based on experimental rotational constants for thirteen
isotopic species of diacetylene and computed zero-point vibrational corrections
is determined (r_e^emp: rC-H=1.0615 A, rCtripleC=1.2085 A, rC-C = 1.3727 A) and
in good agreement with the best theoretical structure (CCSD(T)/cc-pCV5Z:
rC-H=1.0617 Angstrom, rCtripleC=1.2083 A, rC-C=1.3737 A). In addition, the
computed fundamental vibrational frequencies are compared with the available
experimental data and found in satisfactory agreement.


title: Twisted invariances of noncommutative gauge theories

abstract:
  We study noncommutative deformations of Yang-Mills theories and show that
these theories admit a infinite, continuous family of twisted star-gauge
invariances. This family interpolates continuously between star-gauge and
twisted gauge transformations. The possible physical role of these
start-twisted invariances is discussed.


title: Quaternionic Monge-Ampere equation and Calabi problem for HKT-manifolds

abstract:
  A quaternionic version of the Calabi problem on Monge-Ampere equation is
introduced. It is a quaternionic Monge-Ampere equation on a compact
hypercomplex manifold with an HKT-metric. The equation is non-linear elliptic
of second order. For a hypercomplex manifold with holonomy in SL(n;H),
uniqueness (up to a constant) of a solution is proven, as well as the zero
order a priori estimate. The existence of solution is conjectured, similar to
Calabi-Yau theorem. We reformulate this quaternionic equation as a special case
of a complex Hessian equation, making sense on any complex manifold.


title:
Possible observation of energy level quantization in an intrinsic
  Josephson junction

abstract:
  Energy level quantization (ELQ) is studied to clarify the macroscopic quantum
dynamics of the d-wave Josephson junction (JJ). The influences of the nodal
quasiparticles of d-wave superconductivity on the damping effect are
numerically evaluated on the basis of a phenomenological model. The
calculation, based on realistic parameters for a Bi2Sr2CaCu2O8+d (Bi2212)
intrinsic JJ, shows that the observation of ELQ is possible when the sweep rate
of the bias current exceeds 10 A/sec. High-sweep- rate measurements (121A/sec)
performed on a Bi2212 intrinsic JJ result in the appearance of multiple peaks
in the switching current distribution suggesting the realization of ELQ in the
d-wave JJ.


title:
Controllable scattering of photons inside a one-dimensional resonator
  waveguide

abstract:
  We analyze coherent transport of photons, which propagate in a
one-dimensional coupled-resonator waveguide (CRW) and are scattered by a
controllable two-level system located inside the CRW. Our approach, which uses
discrete coordinates, unifies "low" and "high" energy effective theories for
single photon scattering. We show that the controllable two-level system can
behave as a quantum switch for the coherent transport of photons. This study
may inspire new electro-optical single-photon quantum devices. We also suggest
an experimental setup based on superconducting transmission line resonators and
qubits


title: Prevalence of Tidal Interactions among Local Seyfert Galaxies

abstract:
  No mechanisms have hitherto been conclusively demonstrated to be responsible
for initiating optically-luminous nuclear (Seyfert) activity in local disk
galaxies. Only a small minority of such galaxies are visibly disturbed in
optical starlight, with the observed disturbances being at best marginally
stronger than those found in matched samples of inactive galaxies. Here, we
report the first systematic study of an optically-selected sample of
twenty-three active galaxies in atomic hydrogen (HI) gas, which is the most
sensitive and enduring tracer known of tidal interactions. Eighteen of these
galaxies are (generally) classified as Seyferts, with over half (and perhaps
all) having [OIII] luminosities within two orders of magnitude of Quasi-Stellar
Objects. Only ~28% of these Seyfert galaxies are visibly disturbed in optical
DSS2 images. By contrast, ~94% of the same galaxies are disturbed in HI, in
nearly all cases not just spatially but also kinematically on galactic (>~20
kpc) scales. In at least ~67% and perhaps up to ~94% of cases, the observed HI
disturbances can be traced to tidal interactions with neighboring galaxies
detected also in HI. The majority of these neighboring galaxies have projected
separations of <~ 100 kpc and differ in radial velocities by <~100 km/s from
their respective Seyfert galaxies, and many have optical luminosities ranging
from the Small to Large Magellanic Clouds. In a companion paper, we show that
only ~15% of a matched control sample of inactive galaxies display comparable
HI disturbances. Our results suggest that: i) most Seyfert galaxies (with high
nuclear luminosities) have experienced tidal interactions in the recent past;
ii) in most cases, these tidal interactions are responsible for initiating
events that lead to their nuclear activity.


title: An extensive comparison of anisotropies in MBE grown (Ga,Mn)As material

abstract:
  This paper reports on a detailed magnetotransport investigation of the
magnetic anisotropies of (Ga,Mn)As layers produced by various sources
worldwide. Using anisotropy fingerprints to identify contributions of the
various higher order anisotropy terms, we show that the presence of both a
[100] and a [110] uniaxial anisotropy in addition to the primary ([100] +
[010]) anisotropy is common to all medium doped (Ga,Mn)As layers typically used
in transport measurement, with the amplitude of these uniaxial terms being
characteristic of the individual layers.


title:
Uniformity and Functional Equations for Local Zeta Functions of
  $\mathfrak{K}$-Split Algebraic Groups

abstract:
  We study the local zeta functions of an algebraic group $\mathcal{G}$ defined
over $\mathfrak{K}$ together with a faithful $\mathfrak{K}$-rational
representation $\rho$ for a finite extension $\mathfrak{K}$ of $\mathbb{Q}$.
These are given by integrals over $\mathfrak{p}$-adic points of $\mathcal{G}$
determined by $\rho$ for a prime $\mathfrak{p}$ of $\mathfrak{K}$. We prove
that the local zeta functions are almost uniform for all $\mathfrak{K}$-split
groups whose unipotent radical satisfies a certain lifting property. This
property is automatically satisfied if $\mathcal{G}$ is reductive. We provide a
further criterion in terms of invariants of $\mathcal{G}$ and $\rho$ which
guarantees that the local zeta functions satisfy functional equations for
almost all primes of $\mathfrak{K}$. We obtain these results by using a
$\mathfrak{p}$-adic Bruhat decomposition of Iwahori and Matsumoto [IM] to
express the zeta function as a weighted sum over the Weyl group $W$ associated
to $\mathcal{G}$ of generating functions over lattice points of a polyhedral
cone. The functional equation reflects an interplay between symmetries of the
Weyl group and reciprocities of the combinatorial object. We construct families
of groups with representations violating our second structural criterion whose
local zeta functions do not satisfy functional equations. Our work generalizes
results of Igusa [Igu] and du Sautoy and Lubotzky [dSL] and has implications
for zeta functions of finitely generated torsion-free nilpotent groups.


title: Stickiness in Chaos

abstract:
  We distinguish two types of stickiness in systems of two degrees of freedom
(a) stickiness around an island of stability and (b) stickiness in chaos, along
the unstable asymptotic curves of unstable periodic orbits. We studied these
effects in the standard map with a rather large nonlinearity K=5, and we
emphasized the role of the asymptotic curves U, S from the central orbit O and
the asymptotic curves U+U-S+S- from the simplest unstable orbit around the
island O1. We calculated the escape times (initial stickiness times) for many
initial points outside but close to the island O1. The lines that separate the
regions of the fast from the slow escape time follow the shape of the
asymptotic curves S+,S-. We explained this phenomenon by noting that lines
close to S+ on its inner side (closer to O1) approach a point of the orbit 4/9,
say P1, and then follow the oscillations of the asymptotic curve U+, and escape
after a rather long time, while the curves outside S+ after their approach to
P1 follow the shape of the asymptotic curves U- and escape fast into the
chaotic sea. All these curves return near the original arcs of U+,U- and
contribute to the overall stickiness close to U+,U-. The isodensity curves
follow the shape of the curves U+,U- and the maxima of density are along U+,U-.
For a rather long time the stickiness effects along U+,U- are very pronounced.
However after much longer times (about 1000 iterations) the overall stickiness
effects are reduced and the distribution of points in the chaotic sea outside
the islands tends to be uniform.


title:
Affine interval exchange transformations with flips and wandering
  intervals

abstract:
  There exist uniquely ergodic affine interval exchange transformations of
[0,1] with flips having wandering intervals and such that the support of the
invariant measure is a Cantor set.


title:
Rotation of Linear Polarization Plane and Circular Polarization from
  Cosmological Pseudoscalar Fields

abstract:
  We discuss the rotation of the linear polarization plane and the production
of circular polarization generated by a pseudoscalar field acting as dark
matter. We compute analytically and numerically the propagation of the Stokes
parameters from the last scattering surface for an oscillating and a monotonic
decreasing pseudoscalar field. For the models studied in this paper, we show
the comparison between the widely used approximation in which the rotation
angle is constant in time and the exact result.