title:
Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D
  pyrochlore lattice at fractional filling

abstract:
  We study a model of strongly correlated S=1/2 fermions on the planar
pyrochlore, or checkerboard, lattice, at fractional (1/8) filling. Starting
with the extended Hubbard model in the limit of strong Coulomb repulsion,
low-energy configurations can be mapped onto hard-core dimer configurations
whose dimers carry a spin degree of freedom. An effective Hamiltonian similar
to the kinetic term of a quantum dimer model on the square lattice which
rotates two parallel dimers (in a spin-singlet configuration) by 90 degrees
naturally emerges. We also introduce an additional term in the Hamiltonian, a
generalized dimer plaquette interaction, in order to realize a closer analogy
to the latter model. For a strong dimer plaquette attraction stabilizing a
columnar phase, a spontaneous dimerization takes place in the direction of the
columns of (spin-carrying) dimers. Using exact diagonalizations of
two-dimensional periodic clusters, the analysis of the low-energy spectrum and
of several types of correlation functions gives indeed evidence for a new type
of lattice symmetry breaking phase, the eight-fold degenerate Mixed
Columnar-Plaquette Crystal, and for a transition from this phase to a
Resonating-Singlet-Pair Crystal (found in previous studies) which restores the
rotational symmetry of the lattice. Similar conclusions and phase diagram are
also reached from a simple variational approach.


title:
Approximately $\mu$-$\tau$ Symmetric Minimal Seesaw Mechanism and
  Leptonic CP Violation

abstract:
  We estimate the effect of leptonic CP violating phases in the minimal seesaw
model with two heavy neutrinos $N$ by imposing the approximately $\mu-\tau$
symmetry on the model. For $N$ subject to the $\mu-\tau$ symmetry, we find that
neutrinos show the normal mass hierarchy and obtain the general phase structure
that contains only two phases which arise from $\mu-\tau$ symmetry breaking
terms. To perform similar consideration for $N$ blind to the $\mu-\tau$
symmetry necessarily giving the inverted mass hierarchy, we assume the same
phase structure. Our phases consist of six phases that need to take care of
generic phases of flavor neutrino masses, from which one can obtain one Dirac
phase and one Majorana phase as observable phases (because one neutrino is
massless). The Dirac CP violating phase $\delta_{CP}(=\delta+\rho)$ depends on
the $\nu_e-\nu_{\tau}$ ($\nu_e-\nu_{\mu}$) mixing phase $\delta$ ($\rho$). The
Majorana CP violating phase is suppressed because it depend on $\rho$, which is
found to be associated with almost real quantity.


title: Temporal Extent of Surface Potentials between Closely Spaced Metals

abstract:
  Variations in the electrostatic surface potential between the proof mass and
electrode housing in the space-based gravitational wave mission LISA is one of
the largest contributors of noise at frequencies below a few mHz. Torsion
balances provide an ideal testbed for investigating these effects in conditions
emulative of LISA. Our apparatus consists of a Au coated Cu plate brought near
a Au coated Si plate pendulum suspended from a thin W wire. We have measured a
white noise level of $30, \uVhz$ above approximately 0.1, mHz, rising at lower
frequencies, for the surface potential variations between these two closely
spaced metals.


title:
Soliton modes, stability, and drift in optical lattices with spatially
  modulated nonlinearity

abstract:
  We put forward new properties of lattice solitons in materials and geometries
where both, the linear refractive index and the nonlinearity are spatially
modulated. We show that the interplay between linear and out-of-phase nonlinear
refractive index modulations results in new soliton properties, including
modifications of the soliton stability and transverse mobility, as well as
shape transformations that may be controlled, e.g., by varying the light
intensity.


title: The Magnetic Eden Model

abstract:
  In the magnetic Eden model (MEM), particles have a spin and grow in contact
with a thermal bath. Although Ising-like interactions affect the growth
dynamics, deposited spins are frozen and not allowed to flip. This review
article focuses on recent developments and future prospects, such as
spontaneous switching phenomena, critical behavior associated with fractal,
wetting, and order-disorder phase transitions, the equilibrium/nonequilibrium
correspondence conjecture, as well as dynamical and critical features of the
MEM defined on complex network substrates.


title: Maximum principle for viscosity solutions on Riemannian manifolds

abstract:
  In this work we consider viscosity solutions to second order partial
differential equations on Riemannian manifolds. We prove maximum principles for
solutions to Dirichlet problem on a compact Riemannian manifold with boundary.
Using a different method, we generalize maximum principles of Omori and Yau to
a viscosity version.


title:
Magnetocentrifugally Driven Flows from Young Stars and Disks. VI.
  Accretion with a Multipole Stellar Field

abstract:
  Previous analyses of magnetospheric accretion and outflow in classical T
Tauri stars (CTTSs), within the context of both the X-wind model and other
theoretical scenarios, have assumed a dipolar geometry for the stellar magnetic
field if it were not perturbed by the presence of an accreting, electrically
conducting disk. However, CTTS surveys reveal that accretion hot spots cover a
small fraction of the stellar surface, and that the net field polarization on
the stellar surface is small. Both facts imply that the magnetic field
generated by the star has a complex non-dipolar structure. To address this
discrepancy between theory and observations, we re-examine X-wind theory
without the dipole constraint. Using simple physical arguments based on the
concept of trapped flux, we show that a dipole configuration is in fact not
essential. Independent of the precise geometry of the stellar magnetosphere,
the requirement for a certain level of trapped flux predicts a definite
relationship among various CTTS observables. Moreover, superposition of
multipole stellar fields naturally yield small observed hot-spot covering
fractions and small net surface polarizations. The generalized X-wind picture
remains viable under these conditions, with the outflow from a small annulus
near the inner disk edge little affected by the modified geometry, but with
inflow highly dependent on the details of how the emergent stellar flux is
linked and trapped by the inner disk regions. Our model is consistent with
data, including recent spectropolarimetric measurements of the hot spot sizes
and field strengths in V2129 Oph and BP Tau.


title:
DRAGON: Monte Carlo generator of particle production from a fragmented
  fireball in ultrarelativistic nuclear collisions

abstract:
  A Monte Carlo generator of the final state of hadrons emitted from an
ultrarelativistic nuclear collision is introduced. An important feature of the
generator is a possible fragmentation of the fireball and emission of the
hadrons from fragments. Phase space distribution of the fragments is based on
the blast wave model extended to azimuthally non-symmetric fireballs.
Parameters of the model can be tuned and this allows to generate final states
from various kinds of fireballs. A facultative output in the OSCAR1999A format
allows for a comprehensive analysis of phase-space distributions and/or use as
an input for an afterburner.


title: IDLA on the Supercritical Percolation Cluster

abstract:
  We consider the internal diffusion limited aggregation (IDLA) process on the
infinite cluster in supercritical Bernoulli bond percolation on Euclidean
lattices. It is shown that the process on the cluster behaves like it does on
the Euclidean lattice, in that the aggregate covers all the vertices in a
Euclidean ball around the origin, such that the ratio of vertices in this ball
to the total number of particles sent out approaches one almost surely.


title:
The seismogenic area in the lithosphere considered as an "Open Physical
  System". Its implications on some seismological aspects. Part - I.
  Accelerated deformation

abstract:
  The seismogenic area in the lithosphere is considered as an open physical
system. The mathematical analysis of its inflow - outflow energy balance
reveals the presence of specific energy flow physical models. The later comply
with what has been observed by seismologists as "accelerated deformation" and
"seismic quiescence". These physical models are represented by low-order
cumulative seismic energy release analytical polynomial functions in time. The
time derivatives of these functions, analytically calculated, provide a more
sharp indication for the time of occurrence of a future large EQ. Examples from
the application of this approach on real large EQs from the Greek territory are
presented. Moreover, this methodology can be used for the determination of: the
maximum expected magnitude of a future large EQ of a specific seismically
activated seismogenic area and the compilation of seismic potential regional
maps. The later will be presented in details in articles to follow soon.


title: Signal Codes

abstract:
  Motivated by signal processing, we present a new class of channel codes,
called signal codes, for continuous-alphabet channels. Signal codes are lattice
codes whose encoding is done by convolving an integer information sequence with
a fixed filter pattern. Decoding is based on the bidirectional sequential stack
decoder, which can be implemented efficiently using the heap data structure.
Error analysis and simulation results indicate that signal codes can achieve
low error rate at approximately 1dB from channel capacity.


title:
Recursive Schr\" odinger Equation Approach to Faster Converging Path
  Integrals

abstract:
  By recursively solving the underlying Schr\" odinger equation, we set up an
efficient systematic approach for deriving analytic expressions for discretized
effective actions. With this we obtain discrete short-time propagators for both
one and many particles in arbitrary dimension to orders which have not been
accessible before. They can be used to substantially speed up numerical Monte
Carlo calculations of path integrals, as well as for setting up a new
analytical approximation scheme for energy spectra, density of states, and
other statistical properties of quantum systems.


title:
On the insights into phases of liquid water from study of its unusual
  glass-forming properties

abstract:
  We investigate whether an interpretation of water's thermodynamics [Science,
319, 582 (2008)] by using analogy with the binary metal alloys lambda-type
ordering transition or buckminsterfullerene's orientational-ordering transition
has merit. On examining the heat capacity data used for the nanoconfined water,
the construction of the heat capacity peak, and the number of water molecules
in nanoconfinement, we find that (i) the peak had been obtained by joining the
data for emulsified water with that of the nanoconfined water and (ii) only
three water molecules can be fitted across the 1.1 nm diameter pores used in
the study, two of which form a cylindrical shell that is hydrogen bonded to
silica. The remaining connectedness of one water molecule would not produce a
metal alloy-like lambda-transition, or cooperative motions. Therefore, there is
no basis for considering such an ordering in supercooled water.


title: Analytic Disks and the Projective Hull

abstract:
  Let X be a complex manifold and c a simple closed curve in X. We address the
question: What conditions on c ensure the existence of a 1-dimensional complex
subvariety V with boundary c in X. When X = C^n, an answer to this question
involves the polynomial hull of gamma. When X = P^n, complex projective space,
the projective hull hat{c} of c comes into play. One always has V contained in
hat{c}, and for analytic curves they conjecturally coincide.
  In this paper we establish an approximate analogue of this idea which holds
without the analyticity of c. We characterize points in hat{c} as those which
lie on a sequence of analytic disks whose boundaries converge down to c. This
is in the spirit of work of Poletsky and of Larusson-Sigurdsson, whose work is
essential here.
  The results are applied to construct a remarkable example of a closed curve c
in P^2, which is real analytic at all but one point, and for which the closure
of hat{c} is W \cup L where L is a projective line and W is an analytic
(non-algebraic) subvariety of P^2 - L. Furthermore, hat{c} itself is the union
of W with only two points on L.


title: Light-cone M5 and multiple M2-branes

abstract:
  We present the light-cone gauge fixed Lagrangian for the M5-brane; it has a
residual `exotic' gauge invariance with the group of 5-volume preserving
diffeomorphisms, SDiff(5), as gauge group. For an M5-brane of topology R2 x M3,
for closed 3-manifold M3, we find an infinite tension limit that yields an
SO(8)-invariant (1+2)-dimensional field theory with `exotic' SDiff(3) gauge
invariance. We show that this field theory is the Carrollian limit of the Nambu
bracket realization of the `BLG' model for multiple M2-branes.


title:
The XMM-Newton survey of the ELAIS-S1 field II: optical identifications
  and multiwavelength catalogue of X-ray sources

abstract:
  We present optical identifications and a multi-band catalogue of a sample of
478 X-ray sources in the XMM and Chandra surveys of the central 0.6 deg^2 of
the ELAIS-S1 field. The optical/infrared counterpart of each X-ray source was
identified using R and IRAC 3.6 um bands. This method was complemented by the
precise positions obtained through Chandra observations. Approximately 94% of
the counterparts are detected in the R band, while the remaining are blank
fields in the optical down to R~24.5, but have a near-infrared counterpart
detected by IRAC within 6 arcsec from the XMM centroid. The multi-band
catalogue contains photometry in ten photometric bands (B to the MIPS 24 um).
We determined redshift and classification for 237 sources (~50% of the sample)
brighter than R=24. We classified 47% of the sources with spectroscopic
redshift as broad-line active galactic nuclei (BL AGNs) with z=0.1-3.5, while
sources without broad-lines are about 46% of the spectroscopic sample and are
found up to z=2.6. We identified 11 type 2 QSOs among the sources with X/O>8,
with z=0.9-2.6, high 2-10 keV luminosity (log(L2-10keV)>=43.8 erg/s) and hard
X-ray colors suggesting large absorbing columns at the rest frame (logN_H up to
23.6 cm^-2). BL AGNs show on average blue optical-to-near-infrared colors,
softer X-ray colors and X-ray-to-optical colors typical of optically selected
AGNs. Conversely, narrow-line sources show redder optical colors, harder X-ray
flux ratio and span a wider range of X-ray-to-optical colors. On average the
SEDs of high-luminosity BL AGNs resemble the power-law typical of unobscured
AGNs. The SEDs of NOT BL AGNs are dominated by the galaxy emission in the
optical/near-infrared, and show a rise in the mid-infrared which suggests the
presence of an obscured active nucleus.


title: Universal theory of nonlinear Luttinger liquids

abstract:
  One-dimensional quantum fluids are conventionally described by using an
effective hydrodynamic approach known as Luttinger liquid theory. As the
principal simplification, a generic spectrum of the constituent particles is
replaced by a linear one, which leads to a linear hydrodynamic theory. We show
that to describe the measurable dynamic response functions one needs to take
into account the nonlinearity of the generic spectrum and thus of the resulting
quantum hydrodynamic theory. This nonlinearity leads, for example, to a
qualitative change in the behavior of the spectral function. The universal
theory developed in this article is applicable to a wide class of
one-dimensional fermionic, bosonic, and spin systems.


title: The emergence of fermions and the E11 content

abstract:
  Claudio's warm and endearing personality adds to our admiration for his
achievements in physics a sense of friendliness. His constant interest in
fundamental questions motivated the following presentation of our attempt to
understand the nature of fermions. This problem is an essential element of the
quantum world and might be related to the quest for quantum gravity. We shall
review how space-time fermions can emerge out of bosons in string theory and
how this fact affects the extended Kac-Moody approach to the M-theory project.


title:
Theoretical description of time-resolved photoemission spectroscopy:
  application to pump-probe experiments

abstract:
  The theory for time-resolved photoemission spectroscopy as applied to
pump-probe experiments is developed and solved for the generic case of a
strongly correlated material. The formal development incorporates all of the
nonequilibrium effects of the pump pulse and the finite time width of the probe
pulse. While our formal development is completely general, in our numerical
illustration for the Hubbard model, we assume the pump pulse drives the
electrons into a nonequilibrium configuration, which rapidly thermalizes to
create a hot (quasi-equilibrium) electronic system, and we then study the
effects of windowing that arise from the finite width of the probe pulse. We
find sharp features in the spectra are broadened, particularly the
quasiparticle peak of strongly correlated metals at low temperature.


title:
Structural and magnetic phase transitions in the ternary iron arsenides
  SrFe2As2 and EuFe2As2

abstract:
  The structural and magnetic phase transitions of the ternary iron arsenides
SrFe2As2 and EuFe2As2 were studied by temperature-dependent x-ray powder
diffraction and 57-Fe Moessbauer spectroscopy. Both compounds crystallize in
the tetragonal ThCr2Si2-type structure at room temperature and exhibit
displacive structural transitions at 203 K (SrFe2As2) or 190 K (EuFe2As2) to
orthorhombic lattice symmetry in agreement with the group-subgroup relationship
between I4/mmm and Fmmm. 57-Fe Moessbauer spectroscopy experiments with SrFe2
As2 show full hyperfine field splitting below the phase transition temperature
(8.91(1) T at 4.2 K). Order parameters were extracted from detailed
measurements of the lattice parameters and fitted to a simple power law. We
find a relation between the critical exponents and the transition temperatures
for AFe2As2 compounds, which shows that the transition of BaFe2As2 is indeed
more continuous than the transition of SrFe2As2 but it remains second order
even in the latter case.


title: Bottom baryons from a dynamical lattice QCD simulation

abstract:
  Bottom baryon masses are calculated based on a 2+1 flavor dynamical lattice
QCD simulation. The gauge field configurations were computed by the CP-PACS and
JLQCD collaborations using an improved clover action. The bottom quark is
described using lattice NRQCD. Results are presented for single and double-b
baryons at one lattice spacing. Comparison with experimental values is
discussed.


title: Interacting atoms in optical lattices

abstract:
  We propose an easy to use model to solve for interacting atoms in an optical
lattice. This model allows for the whole range of weakly to strongly
interacting atoms, and it includes the coupling between relative and
center-of-mass motion via anharmonic lattice terms. We apply this model to a
high-precision spin dynamics experiment, and we discuss the corrections due to
atomic interactions and the anharmonic coupling. Under suitable experimental
conditions, energy can be transferred between the relative and center-of-mass
motion, and this allows for creation of Feshbach molecules in excited lattice
bands.


title: "Iff" is not expressible in independence-friendly logic

abstract:
  Ordinary first-order logic has the property that two formulas \phi and \psi
have the same meaning in a structure if and only if the formula ``\phi iff
\psi'' is true in the structure. We prove that independence-friendly logic does
not have this property.


title: Recent Lifetime and Mixing Measurements at the Tevatron

abstract:
  We present the latest $B$ hadron lifetimes, $B^0_s$ mixing, and $D^0$ mixing
measurements using up to 3.0 fb$^{-1}$ of data collected by CDF and D0
experiments at Fermilab. The $B^0_s$ lifetime is measured from both $J/\psi
\phi$ (CP admixture) and flavor specific channels, and the $B_c$ lifetime is
obtained from semileptonic channels. Following the $B^0_s$ oscillation
frequency measurement at CDF in 2006, the D0 collaboration now observes $B^0_s$
oscillation at a significance of about 3$\sigma$. Since the first $D^0$ mixing
evidence established at $B$ factories in 2007, CDF has observed $D^0$ mixing at
a significance of about 4$\sigma$ level, the first time from hadron collider.


title:
Locality and Bounding-Box Quality of Two-Dimensional Space-Filling
  Curves

abstract:
  Space-filling curves can be used to organise points in the plane into
bounding-box hierarchies (such as R-trees). We develop measures of the
bounding-box quality of space-filling curves that express how effective
different space-filling curves are for this purpose. We give general lower
bounds on the bounding-box quality measures and on locality according to
Gotsman and Lindenbaum for a large class of space-filling curves. We describe a
generic algorithm to approximate these and similar quality measures for any
given curve. Using our algorithm we find good approximations of the locality
and the bounding-box quality of several known and new space-filling curves.
Surprisingly, some curves with relatively bad locality by Gotsman and
Lindenbaum's measure, have good bounding-box quality, while the curve with the
best-known locality has relatively bad bounding-box quality.


title:
Generation of Narrow-Band Polarization-Entangled Photon Pairs for Atomic
  Quantum Memories

abstract:
  We report an experimental realization of a narrow-band polarization-entangled
photon source with a linewidth of 9.6 MHz through cavity-enhanced spontaneous
parametric down-conversion. This linewidth is comparable to the typical
linewidth of atomic ensemble based quantum memories. Single-mode output is
realized by setting a reasonable cavity length difference between different
polarizations, using of temperature controlled etalons and actively stabilizing
the cavity. The entangled property is characterized with quantum state
tomography, giving a fidelity of 94% between our state and a maximally
entangled state. The coherence length is directly measured to be 32 m through
two-photon interference.


title:
The Organization of Intrinsic Computation: Complexity-Entropy Diagrams
  and the Diversity of Natural Information Processing

abstract:
  Intrinsic computation refers to how dynamical systems store, structure, and
transform historical and spatial information. By graphing a measure of
structural complexity against a measure of randomness, complexity-entropy
diagrams display the range and different kinds of intrinsic computation across
an entire class of system. Here, we use complexity-entropy diagrams to analyze
intrinsic computation in a broad array of deterministic nonlinear and linear
stochastic processes, including maps of the interval, cellular automata and
Ising spin systems in one and two dimensions, Markov chains, and probabilistic
minimal finite-state machines. Since complexity-entropy diagrams are a function
only of observed configurations, they can be used to compare systems without
reference to system coordinates or parameters. It has been known for some time
that in special cases complexity-entropy diagrams reveal that high degrees of
information processing are associated with phase transitions in the underlying
process space, the so-called ``edge of chaos''. Generally, though,
complexity-entropy diagrams differ substantially in character, demonstrating a
genuine diversity of distinct kinds of intrinsic computation.


title: AMS Without 4-Wise Independence on Product Domains

abstract:
  In their seminal work, Alon, Matias, and Szegedy introduced several sketching
techniques, including showing that 4-wise independence is sufficient to obtain
good approximations of the second frequency moment. In this work, we show that
their sketching technique can be extended to product domains $[n]^k$ by using
the product of 4-wise independent functions on $[n]$. Our work extends that of
Indyk and McGregor, who showed the result for $k = 2$. Their primary motivation
was the problem of identifying correlations in data streams. In their model, a
stream of pairs $(i,j) \in [n]^2$ arrive, giving a joint distribution $(X,Y)$,
and they find approximation algorithms for how close the joint distribution is
to the product of the marginal distributions under various metrics, which
naturally corresponds to how close $X$ and $Y$ are to being independent. By
using our technique, we obtain a new result for the problem of approximating
the $\ell_2$ distance between the joint distribution and the product of the
marginal distributions for $k$-ary vectors, instead of just pairs, in a single
pass. Our analysis gives a randomized algorithm that is a $(1 \pm \epsilon)$
approximation (with probability $1-\delta$) that requires space logarithmic in
$n$ and $m$ and proportional to $3^k$.


title: Compression of Antiproton Clouds for Antihydrogen Trapping

abstract:
  Control of the radial profile of trapped antiproton clouds is critical to
trapping antihydrogen. We report the first detailed measurements of the radial
manipulation of antiproton clouds, including areal density compressions by
factors as large as ten, by manipulating spatially overlapped electron plasmas.
We show detailed measurements of the near-axis antiproton radial profile and
its relation to that of the electron plasma.


title: Descent curve and the phases of collapse of WTC 7

abstract:
  We examine four WTC 7 descent curves, labeled "C," "E," "N," and "O," either
anonymously published, or confidentially communicated to us. Descent curve
describes apparent height of a collapsing building as a function of time. The
set "C" suggests that there are three active phases of collapse. Phase I is a
free fall for the first $H_1\simeq28$m or $T_1\simeq2.3$s, during which the
acceleration $a$ is that of the gravity, $a=g=9.8$m/s$^2$. In Phase II, which
continues until drop $H_2\simeq68$m, or $T_2\simeq3.8$s, the acceleration is
$a\simeq5$m/s$^2$, while in Phase III which continues for the remaining of the
data set, $a \simeq -1$m/s$^2$. We propose that the collapse of WTC 7 is
initiated by a total and sudden annihilation of the base (section of the
building from the ground level to $H_1$), which then allows the top section
(building above $H_1$) to free fall during Phase I, and then collide with the
ground in Phase II and III. The total duration of the collapse, assuming that
Phase III continues to the end, is in the range $7.8-8.6$s. We derive a
physical model for collision of the building with the ground, in which we
correct the "crush-up" model of Ba\v{z}ant and Verdure, J. Engr. Mech. ASCE,
{\bf 133} (2006) 308, and estimate the magnitude of the resistive force in the
top section. We compare our findings to those of NIST investigators and find an
agreement with respect to the distribution of damage in the primary zone. We
conclude that the building was destroyed in a highly controlled fashion.


title: A bi-Hamiltonian supersymmetric geodesic equation

abstract:
  A supersymmetric extension of the Hunter-Saxton equation is constructed. We
present its bi-Hamiltonian structure and show that it arises geometrically as a
geodesic equation on the space of superdiffeomorphisms of the circle that leave
a point fixed endowed with a right-invariant metric.


title:
Constraint quantisation of a worldline system invariant under reciprocal
  relativity. II

abstract:
  We consider the world-line quantisation of a system invariant under the
symmetries of reciprocal relativity. Imposition of the first class constraint,
the generator of local time reparametrisations, on physical states enforces
identification of the world-line cosmological constant with a fixed value of
the quadratic Casimir of the quaplectic symmetry group Q(3,1) ~ U(3,1) x H(4),
the semi-direct product of the pseudo-unitary group with the Weyl-Heisenberg
group. In our previous paper, J Phys A 40 (2007) 12095--12111, the `spin'
degrees of freedom were handled as covariant oscillators, leading to a unique
choice of cosmological constant, required for projecting out negative-norm
states from the physical gauge-invariant states. In the present paper the spin
degrees of freedom are treated as standard oscillators with positive norm
states (wherein Lorentz boosts are not number-conserving in the auxiliary
space; reciprocal transformations are of course not spin-conserving in
general). As in the covariant approach, the spectrum of the square of the
energy-momentum vector is continuous over the entire real line, and thus
includes tachyonic (spacelike) and null branches. Adopting standard frames, the
Wigner method on each branch is implemented, to decompose the auxiliary space
into unitary irreducible representations of the respective little algebras and
additional degeneracy algebras. The physical state space is vastly enriched as
compared with the covariant approach, and contains towers of integer spin
massive states, as well as unconventional massless representations, with
continuous Euclidean momentum and arbitrary integer helicity.


title: Compact stellar systems and cluster environments

abstract:
  We have extended the search for luminous (M_{b_J} <= -10.5) compact stellar
systems (CSSs) in the Virgo and Fornax galaxy clusters by targeting with the
recently commissioned AAOmega spectrograph three cluster environments -- the
cluster cores around M87 and NGC 1399, intracluster space, and a major galaxy
merger site (NGC 1316). We have significantly increased the number of
redshift-confirmed CSSs in the Virgo cluster core and located three Virgo
intracluster globular clusters (IGCs) at a large distance from M87 (154-173
arcmin or ~750-850 kpc) -- the first isolated IGCs to be redshift-confirmed. We
estimate luminous CSS populations in each cluster environment, and compare
their kinematic and photometric properties. We find that (1) the estimated
luminous CSS population in the Virgo cluster core is half of that in Fornax,
possibly reflecting the more relaxed dynamical status of the latter; (2) in
both clusters the luminous CSS velocity dispersions are less than those of the
cD galaxy GC system or cluster dE galaxies, suggesting luminous CSSs have less
energetic orbits; (3) Fornax has a sub-population of cluster core luminous CSSs
that are redder and presumably more metal-rich than those found in Virgo; (4)
no luminous CSSs were found in a 10-20 arcmin (60-130 kpc) radial arc east of
the 3 Gyr old NGC 1316 galaxy merger remnant or in the adjacent intracluster
region, implying that any luminous CSSs created in the galaxy merger have not
been widely dispersed.


title:
Luminosity dependence of the electron temperature in the bright hard
  state of the black hole candidate GX 339--4

abstract:
  We have analyzed 200 Rossi X-ray Timing Explorer observations of the black
hole candidate GX 339--4, all from the bright hard state periods between 1996
and 2005. Purpose of our study is to investigate the radiation mechanisms in
the hard state of GX 339--4. The broadband 3--200 keV spectra were successfully
modeled by a simple analytic model, power--law with an exponential cut-off
modified with a smeared edge. The obtained energy cut-off ($E_{\rm{cut}}$) was
distributed over 50--200 keV, and the photon index over 1.4--1.7. We found a
clear anti-correlation ($E_{\rm{cut}} \propto L^{-0.70\pm0.06}$) between the
X-ray luminosity ($L$) in 2--200 keV and $E_{\rm{cut}}$, when $L$ is larger
than $7 \times 10^{37}$ erg s$^{-1}$ (assuming a distance of 8 kpc), while
$E_{\rm{cut}}$ is roughly constant at around 200 keV when $L$ is smaller than
$7 \times 10^{37}$ erg s$^{-1}$. This anti-correlation remained unchanged by
adopting a more physical thermal Comptonization model, which resulted in the
anti-correlation that can be expressed as $kT_{\rm{e}} \propto
L^{-0.24\pm0.06}$. These anti-correlations can be quantitatively explained by a
picture in which the energy-flow rate from protons to electrons balances with
the inverse Compton cooling.


title:
123Sb-NQR study of unconventional superconductivity in the filled
  skutterudite heavy-fermion compound PrOs4Sb12 under high pressure up to P =
  3.82 GPa

abstract:
  We report $^{123}$Sb nuclear quadrupole resonance (NQR) measurements of the
filled skutterudite heavy-fermion superconductor PrOs$_4$Sb$_{12}$ under high
pressure. The temperature dependence of NQR frequency and the spin-lattice
relaxation rate $1/T_1$ indicate that the crystal-electric-field splitting
$\Delta_{\rm CEF}$ between the ground state $\Gamma_1$ singlet and the first
excited state $\Gamma_4^{(2)}$ triplet decreases with increasing pressure.
Ac-susceptibility measurements indicate that the superconducting transition
temperature ($T_{\rm c}$) also decreases with increasing pressure. However,
above $P$ $\sim$ 2 GPa, both $\Delta_{\rm CEF}$ and $T_{\rm c}$ do not depend
on external pressure up to $P$ = 3.82 GPa. These pressure dependences of
$\Delta_{\rm CEF}$ and $T_{\rm c}$ suggest an intimate relationship between
quadrupole excitations associated with the $\Gamma_4^{(2)}$ level and
unconventional superconductivity in PrOs$_4$Sb$_{12}$. In the superconducting
state, 1/$T_1$ below $T_{\rm c}$ = 1.55 and 1.57 K at $P$ = 1.91 and 2.63 GPa
shows a power-law temperature variations and are proportional to $T^5$ at
temperatures considerably below $T_{\rm c}$. These data can be well fitted by
the gap model $\Delta(\theta) = \Delta_0\sin\theta$ with $\Delta_0$ = 3.08
$k_{\rm B}T_{\rm c}$ and 3.04 $k_{\rm B}T_{\rm c}$ for $P$ = 1.91 and 2.63 GPa,
respectively. The results indicate there exists point nodes in the gap
function.


title:
Coexistence of Supercondcutivity and Magnetism in LaFeAs(O0.94F0.06)
  Probed by Muon Spin Relaxation

abstract:
  Recent discovery of oxypnictide superconductor LaFeAs(O,F) (LFAO-F) with the
critical temperature (Tc) of 26 K and succeeding revelation of much increased
Tc upon substitution of La for other rare earth elements (such as Sm, leading
to ~43 K) and application of pressure for LFAO-F (~ 43 K) has triggered broad
interest in the mechanism yielding relatively high Tc in this new class of
compounds. While they share a feature with high-Tc cuprates that
superconductivity occurs upon carrier doping to pristine compound which
exhibits magnetism, they also resemble the heavy-fermion compounds in the sense
that superconductivity appears in the vicinity of magnetic phase. Investigation
of electronic states near the boundary between these two phases might provide
some useful information on the mechanism of superconductivity, as it has been
proved to be the case in many exotic superconductors. Here we show by muon
experiment in the LFAO-F compound that a macroscopic phase separation into
superconducting and spin glass-like magnetic phases occurs at x=0.06 that is
near the phase boundary, where both the magnetism and superconductivity develop
simultaneously below a common Tc ~ 18 K. This accordance strongly suggests
intimate relationship between magnetism and superconductivity typically found
in heavy-fermion systems near the quantum critical point.


title: Vector-type four-quark interaction and its impact on QCD phase structure

abstract:
  Effects of the vector-type four-quark interaction on QCD phase structure are
investigated in the imaginary chemical potential region, by using the
Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the extended Z3
symmetry. In the course to this end, we clarify analytically the Roberge-Weiss
periodicity and symmetry properties of various quantities under the existence
of a vector-type four-quark interaction. In the imaginary chemical potential
region, the chiral condensate and the quark number density are sensitive to the
strength of the interaction. Based on this result, we propose a possibility to
determine the strength of the vector-type interaction, which largely affects
QCD phase structure in the real chemical potential region, by comparing the
results of lattice simulations and effective model calculations in the
imaginary chemical potential region.


title:
Matrix Model For Polyakov Loops, String Field Theory In The Temporal
  Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory
  Of D-branes

abstract:
  Closed string field theory is constructed by stochastically quantizing a
matrix model for Polyakov loops that describes phases of a large N gauge theory
at finite temperature. Coherent states in this string field theory describes
winding string condensation which has been expected to cause a topology change
from thermal AdS geometry to AdS-Schwarzschild black hole geometry. D-branes in
this closed string field theory is also discussed. Slightly extended version of
a talk given at CosPA 2007, Nov.13-15, Taipei, Taiwan.


title: Automata generating free products of groups of order 2

abstract:
  We construct a family of automata with n states, n>3, acting on a rooted
binary tree that generate the free products of cyclic groups of order 2.


title:
A new Hedging algorithm and its application to inferring latent random
  variables

abstract:
  We present a new online learning algorithm for cumulative discounted gain.
This learning algorithm does not use exponential weights on the experts.
Instead, it uses a weighting scheme that depends on the regret of the master
algorithm relative to the experts. In particular, experts whose discounted
cumulative gain is smaller (worse) than that of the master algorithm receive
zero weight. We also sketch how a regret-based algorithm can be used as an
alternative to Bayesian averaging in the context of inferring latent random
variables.


title: Coronal Tomography

abstract:
  A simple, yet powerful, algorithm for computed tomography of the solar corona
is presented and demonstrated using synthetic EUV data. A minimum of three
perspectives are required. These may be obtained from STEREO/EUVI plus an
instrument near Earth, e.g. TRACE or SOHO/EIT.


title:
LDA + Negative U Solves a Puzzle of too Large Calculated Magnetic Moment
  in Iron-based Superconductor LaFeAsO_{1-x}F_x

abstract:
  A puzzle in the iron-based superconductor LaFeAsO_{1-x}F_x is that the
magnetic moment obtained by first-principle electronic structure calculations
is unexpectedly much larger than the experimentally observed one. For example,
the calculated value is ~ 2.0 \mu_B in the mother compound, while it is ~ 0.3
\mu_B in experiments. We find that the puzzle is solved within the framework
LDA + U by expanding the U value into a slightly negative range. We show U
dependence of the obtained magnetic moment in both the undoped x=0.0 and doped
x = 0.125. These results reveal that the magnetic moment is drastically reduced
when entering to the slightly negative range of U. Moreover, the negative U
well explains other measurement data, e.g., lattice constants and electronic
DOS at the Fermi level. We discuss possible origins of the negative U in these
compounds.


title: Bolometric Detection of Quantum Shot Noise in Coupled Mesoscopic Systems

abstract:
  We present a new scheme to detect the quantum shot noise in coupled
mesoscopic systems. By applying the noise thermometry to the capacitively
coupled quantum point contacts (QPCs) we prove that the noise temperature of
one QPC is in perfect proportion to that of the other QPC which is driven to
non-equilibrium to generate quantum shot noise. We also found an unexpected
effect that the noise in the source QPC is remarkably suppressed possibly due
to the cooling effect by the detector QPC.


title:
Fermi Surface and Band Renormalization in (Sr,K)Fe$_2$As$_2$
  Superconductor from Angle-Resolved Photoemission Spectroscopy

abstract:
  High resolution angle-resolved photoemission measurements have been carried
out on (Sr,K)Fe$_2$As$_2$ superconductor (Tc=21 K). Three hole-like Fermi
surface sheets are clearly resolved for the first time around the Gamma point.
The overall electronic structure shows significant difference from the band
structure calculations. Qualitative agreement between the measured and
calculated band structure is realized by assuming a chemical potential shift of
-0.2 eV. The obvious band renormalization suggests the importance of electron
correlation in understanding the electronic structure of the Fe-based
compounds.


title:
Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge
  Theory

abstract:
  As we re-examine the known holographic N=1 supersymmetric renormalization
group flow in four dimensions, we describe the mass-deformed Bagger-Lambert
theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory
with level k=1 or 2, that has G_2 symmetry, by adding a mass term for one of
the eight adjoint superfields. We obtain a detailed correspondence between the
fields of AdS_4 supergravity and composite operators of the infrared field
theory in three dimensions. The geometric superpotential from an eleven
dimensional viewpoint is obtained for M2-brane probe analysis.


title: Multi-BPS D-vortices

abstract:
  We investigate the BPS configuration of the multi D-vortices produced from
the D2${\bar {\rm D}}$2 system. Based on the DBI-type action with a
Gaussian-type runaway potential for a complex tachyon field, the BPS limit is
achieved when the tachyon profile is thin. The solution states
randomly-distributed $n$ static D-vortices with zero interaction. With the
obtained BPS configuration, we derive the relativistic Lagrangian which
describes the dynamics of free massive D-vortices. We also discuss the
90${}^{\circ}$ and 180${}^{\circ}$ scattering of two identical D-vortices, and
present its implications on the reconnection in the dynamics of cosmic
superstrings.


title: Counting paths in Bratteli diagrams for SU(2)_k

abstract:
  It is known that the Hilbert space dimensionality for quasiparticles in an
SU(2)_k Chern-Simons-Witten theory is given by the number of directed paths in
certain Bratteli diagrams. We present an explicit formula for these numbers for
arbitrary k. This is on the basis of a relation with Dyck paths and Chebyshev
polynomials.


title: Finite size effects of helical edge states in HgTe/CdTe quantum wells

abstract:
  The solutions for the helical edge states for an effective continuum model
for the quantum spin Hall effect in HgTe/CdTe quantum wells are presented. For
a sample of a large size, the solution gives the linear dispersion for the edge
states. However, in a finite strip geometry, the edge states at two sides will
couple with each other, which leads to a finite energy gap in the spectra. The
gap decays in an exponential law of the width of sample. The magnetic field
dependence of the edge states illustrates the difference of the edge states
from those of a conventional quantum Hall strip of two-dimensional electron
gas.


title: Resonant and rolling droplet

abstract:
  When an oil droplet is placed on a quiescent oil bath, it eventually
collapses into the bath due to gravity. The resulting coalescence may be
eliminated when the bath is vertically vibrated. The droplet bounces
periodically on the bath, and the air layer between the droplet and the bath is
replenished at each bounce. This sustained bouncing motion is achieved when the
forcing acceleration is higher than a threshold value. When the droplet has a
sufficiently low viscosity, it significantly deforms : spherical harmonic
\boldmath{$Y_{\ell}^m$} modes are excited, resulting in resonant effects on the
threshold acceleration curve. Indeed, a lower acceleration is needed when
$\ell$ modes with $m=0$ are excited. Modes $m \ne 0$ are found to decrease the
bouncing ability of the droplet. When the mode $\ell=2$ and $m=1$ is excited,
the droplet rolls on the vibrated surface without touching it, leading to a new
self-propulsion mode.


title: Diffusion on an Ising chain with kinks

abstract:
  We count the number of histories between the two degenerate minimum energy
configurations of the Ising model on a chain, as a function of the length n and
the number d of kinks that appear above the critical temperature. This is
equivalent to count permutations of length n avoiding certain subsequences
depending on d. We give explicit generating functions and compute the
asymptotics. The setting considered has a role when describing dynamics induced
by quantum Hamiltonians with deconfined quasi-particles.


title: Direct CP violation in B decays

abstract:
  We review recent experimental results on direct CP violation. The hot topic
is a measurement in charmless two-body decays of B0, B+. In connection to this
the first analogous measurements in Bs0 and Lambda_b0 decays are now available.
Furthermore first evidence for direct CP violation in B+ decays is obtained
from Dalitz plot analyzes of the K+pi-pi+ final state at B-factories. The last
group of discussed results probes the b -> c\bar{c}d transition in attempt to
resolve the discrepancy between Belle and BABAR experiments in CP violation in
the B0 -> D+D- decays.


title:
The Superconducting Gap Behavior in the Antiferromagnetic
  Nickel-Borocarbide Compounds RNi2B2C (R=Dy, Ho, Er, Tm) Studied by
  Point-Contacts Spectroscopy

abstract:
  An general survey of the superconducting (SC) gap study in the title
compounds by point-contact (PC) spectroscopy is presented. The SC gap was
determined from dV/dI of PCs employing the well-known theory of conductivity
for normal metal-superconductor PCs accounting Andreev reflection. The theory
was modified by including pair-breaking effects considering the presence of
magnetic rare-earth ions. A possible multiband structure of these compounds was
also taken into account. The PC study of the gap in the Er-compound
(TN=6K<Tc=11K) gives =evidence for the presence of two SC gaps. Additionally, a
distinct decrease of both gaps is revealed for R = Er in the antiferromagnetic
(AF) state. For R = Tm (TN=1.5K<Tc=10.5K) a decrease of the SC gap is observed
below 4-5K, while for R = Dy (TN=10.5K>Tc=6.5K) the SC gap has a BCS-like
dependence in the AF state. The SC gap for R = Ho (TN=5.2K<Tc=8.5K) exhibits
below T*=5.6K a single-band BCS-like dependence vanishing above T*, where a
specific magnetic order occurs. The difference in the SC gap behavior in the
title compounds is attributed to different AF ordering.


title:
Inhomogeneous Perfect Fluid Universe with Electromagnetic Field in Lyra
  Geometry

abstract:
  A new class of cylindrically symmetric inhomogeneous cosmological models for
perfect fluid distribution with electromagnetic field is obtained in the
context of Lyra's geometry. We have obtained two types of solutions by
considering the uniform as well as time dependent displacement field. The
source of the magnetic field is due to an electric current produced along the
z-axis. Only $F_{12}$ is a non-vanishing component of electromagnetic field
tensor. To get the deterministic solution, it has been assumed that the
expansion $\theta$ in the model is proportional to the shear $\sigma$. It has
been found that the solutions are consistent with the recent observations of
type Ia supernovae and the displacement vector $\beta(t)$ affects entropy.
Physical and geometric aspects of the models are also discussed in presence and
absence of magnetic field.


title: Direct Acceleration of Ions With Variable-frequency Lasers

abstract:
  A method is proposed for producing monoergetic, high-quality ion beams in
vacuum, via direct acceleration by the electromagnetic field of two
counterpropagating, variable-frequency lasers: ions are trapped and accelerated
by a beat-wave structure with variable phase velocity, allowing for fine
control over the energy and the charge of the beam via tuning of the frequency
variation. The physical mechanism is described with a one-dimensional theory,
providing the general conditions for trapping and scaling laws for the relevant
features of the ion beam. Two-dimensional, electromagnetic particle-in-cell
simulations, in which hydrogen gas is considered as an ion source, confirm the
validity and the robustness of the method.


title: Exact pressure evolution equation for incompressible fluids

abstract:
  An important aspect of computational fluid dynamics is related to the
determination of the fluid pressure in isothermal incompressible fluids. In
particular this concerns the construction of an exact evolution equation for
the fluid pressure which replaces the Poisson equation and yields an algorithm
which is a Poisson solver, i.e., it permits to time-advance exactly the same
fluid pressure \textit{without solving the Poisson equation}% . In fact, the
incompressible Navier-Stokes equations represent a mixture of hyperbolic and
elliptic pde's, which are extremely hard to study both analytically and
numerically. In this paper we intend to show that an exact solution to this
problem can be achieved adopting the approach based on inverse kinetic theory
(IKT) recently developed for incompressible fluids by Ellero and Tessarotto
(2004-2007). In particular we intend to prove that the evolution of the fluid
fields can be achieved by means of a suitable dynamical system, to be
identified with the so-called Navier-Stokes (N-S) dynamical system. As a
consequence it is found that the fluid pressure obeys a well-defined evolution
equation. The result appears relevant for the construction of Lagrangian
approaches to fluid dynamics.


title:
Conductance plateau in quantum spin transport through an interacting
  quantum dot

abstract:
  Quantum spin transport is studied in an interacting quantum dot. It is found
that a conductance "plateau" emerges in the non-linear charge conductance by a
spin bias in the Kondo regime. The conductance plateau, as a complementary to
the Kondo peak, originates from the strong electron correlation and exchange
processes in the quantum dot, and can be regarded as one of the characteristics
in quantum spin transport.


title:
On the existence of canonical gyrokinetic variables for chaotic magnetic
  fields

abstract:
  The gyrokinetic description of particle dynamics faces a basic difficulty
when a special type of canonical variables is sought, i.e., the so-called
\textit{gyrokinetic canonical variables}. These are defined in such a way that
two of them are respectively identified with the gyrophase-angle, describing
the fast particle gyration motion around magnetic field lines, and its
canonically conjugate momentum. In this paper we intend to discuss the
conditions of existence for these variables.


title: Computing j-multiplicity

abstract:
  The j-multiplicity is an invariant that can be defined for any ideal in a
Noetherian local ring $(R, m)$. It is equal to the Hilbert-Samuel multiplicity
if the ideal is $m$-primary. In this paper we explore the computability of the
j-multiplicity, giving another proof for the length formula and the additive
formula.


title:
The computational complexity of traditional Lattice-Boltzmann methods
  for incompressible fluids

abstract:
  It is well-known that in fluid dynamics an alternative to customary direct
solution methods (based on the discretization of the fluid fields) is provided
by so-called \emph{particle simulation methods}. Particle simulation methods
rely typically on appropriate \emph{kinetic models} for the fluid equations
which permit the evaluation of the fluid fields in terms of suitable
expectation values (or \emph{momenta}) of the kinetic distribution function
$f(\mathbf{r,v},t),$ being respectively $\mathbf{r}$ and\textbf{\}$\mathbf{v}$
the position an velocity of a test particle with probability density
$f(\mathbf{r,v},t)$. These kinetic models can be continuous or discrete in
phase space, yielding respectively \emph{continuous} or \emph{discrete kinetic
models} for the fluids. However, also particle simulation methods may be biased
by an undesirable computational complexity. In particular, a fundamental issue
is to estimate the algorithmic complexity of numerical simulations based on
traditional LBM's (Lattice-Boltzmann methods; for review see Succi, 2001
\cite{Succi}). These methods, based on a discrete kinetic approach, represent
currently an interesting alternative to direct solution methods. Here we intend
to prove that for incompressible fluids fluids LBM's may present a high
complexity. The goal of the investigation is to present a detailed account of
the origin of the various complexity sources appearing in customary LBM's. The
result is relevant to establish possible strategies for improving the numerical
efficiency of existing numerical methods.


title:
The Adapted Ordering Method for the Representation Theory of Lie
  Algebras and Superalgebras and their Generalizations

abstract:
  In 1998 the Adapted Ordering Method was developed for the study of the
representation theory of the superconformal algebras in two dimensions. It
allows: to determine the maximal dimension for a given type of space of
singular vectors, to identify all singular vectors by only a few coefficients,
to spot subsingular vectors and to set the basis for constructing embedding
diagrams. In this talk I introduce the present version of the Adapted Ordering
Method, published in J. Phys. A: Math. Theor. 41 (2008) 045201, which can be
applied to general Lie algebras and superalgebras and their generalizations,
provided they can be triangulated.


title: Lagrangian dynamics of incompressible thermofluids

abstract:
  A key aspect of fluid dynamics is the correct definition of the \textit{%
phase-space} Lagrangian dynamics which characterizes arbitrary fluid elements
of an incompressible fluid. Apart being an unsolved theoretical problem of
fundamental importance, the issue is relevant to exhibit the connection between
fluid dynamics and the classical dynamical systems underlying incompressible
and non-isothermal fluid, typically founded either on: a) a
\textit{configuration-space} Lagrangian description of the dynamics of fluid
elements; b) a kinetic description of the molecular dynamics, based on a
discrete representation of the fluid. The goal of this paper is to show that
the exact Lagrangian dynamics can be established based on the inverse kinetic
theory (IKT) for incompressible fluids recently pointed out (Ellero \textit{et
al.}, 2004-2006, \cite{Ellero2004}). The result is reached by adopting an IKT
approach based on a \textit{restricted phase-space representation} of the
fluid, in which the configuration space coincides with the physical fluid
domain. The result appears of potential importance in applied fluid dynamics
and CFD.


title:
First high energy observations of Narrow Line Seyfert 1s with
  INTEGRAL/IBIS

abstract:
  Narrow Line Seyfert 1 galaxies (NLS1) are very interesting objects which
display peculiar properties when compared to their broad line analogues (BLS1).
Although well studied in many wavebands, their behaviour at >10 keV is poorly
studied and yet important to discriminate between models invoked to explain the
complexity observed in the X-ray band. Here we present for the first time high
energy observations (17-100 keV) of five NLS1 galaxies (3 bona fide and 2
candidates) detected by INTEGRAL/IBIS and provide for all of them a broad band
spectral analysis using data obtained by Swift/XRT below 10 keV. The combined
INTEGRAL spectrum is found to be steeper (Gamma=2.6 +/- 0.3) than those of
classical Seyfert 1 objects. This is due to a high energy cutoff, which is
required in some individual fits as in the average broad band spectrum. The
location of this high energy cutoff is at lower energies (E < 60 keV) than
typically seen in classical type 1 AGNs; a reflection component may also be
present but its value (R < 0.8) is compatible with those seen in standard
Seyfert 1s. We do not detect a soft excess in individual objects but only in
their cumulative spectrum. Our results suggest a lower plasma temperature for
the accreting plasma which combined to the high accretion rates (close to the
Eddington rate) point to different nuclear conditions in broad and narrow line
Seyfert 1 galaxies, likely related to different evolutionary stages.


title: On Internal Consistency of Holographic Dark Energy Models

abstract:
  Holographic dark energy (HDE) models, underlain by an effective quantum field
theory (QFT) with a manifest UV/IR connection, have become a convincing
candidate for the dark energy in the universe. On the other hand, the maximum
number of quantum states a conventional QFT in the box of size $L$ is capable
to describe, refer to those boxes which are on the brink of experiencing a
sudden collapse to a black hole. Another restriction on the underlying QFT is
that the UV cutoff, which cannot be chosen independently of the IR cutoff and
therefore becomes a function of time in a cosmological setting, should stay the
largest energy scale even in the standard cosmological epochs preceding a dark
energy dominated one. We show that, irrespective of whether one deals with the
saturated form of HDE or takes a certain degree of non-saturation in the past,
the above restrictions cannot be met in a radiation-dominated universe, an
epoch in the history of the universe which is expected to be perfectly
describable within conventional QFT.


title:
Electrostatic modification of infrared response in gated structures
  based on VO2

abstract:
  We investigate the changes in the infrared response due to charge carriers
introduced by electrostatic doping of the correlated insulator vanadium dioxide
(VO2) integrated in the architecture of the field effect transistor.
Accumulation of holes at the VO2 interface with the gate dielectric leads to an
increase in infrared absorption. This phenomenon is observed only in the
insulator-to-metal transition regime of VO2 with coexisting metallic and
insulating regions. We postulate that doped holes lead to the growth of the
metallic islands thereby promoting percolation, an effect that persists upon
removal of the applied gate voltage.


title: 2-D color code quantum computation

abstract:
  We describe in detail how to perform universal fault-tolerant quantum
computation on a 2-D color code, making use of only nearest neighbor
interactions. Three defects (holes) in the code are used to represent logical
qubits. Triple defect logical qubits are deformed into isolated triangular
sections of color code to enable transversal implementation of all single
logical qubit Clifford group gates. CNOT is implemented between pairs of triple
defect logical qubits via braiding.


title: Thermal depinning of fluxons in discrete Josephson rings

abstract:
  We study the thermal depinning of single fluxons in rings made of Josephson
junctions. Due to thermal fluctuations a fluxon can be excited from its energy
minima and move through the array, causing a voltage across each junction. We
find that for the initial depinning, the fluxon behaves as a single particle
and follows a Kramers-type escape law. However, under some conditions this
single particle description breaks down. At low values of the discreteness
parameter and low values of the damping, the depinning rate is larger than the
single particle result would suggest. In addition, for some values of the
parameters the fluxon can undergo low-voltage diffusion before switching to the
high-voltage whirling mode. This type of diffusion is similar to phase
diffusion in a single junction, but occurs without frequency-dependent damping.
We study the switching to the whirling state as well.


title:
Selberg's zeta functions for congruence subgroups of modular groups in
  SL(2,R) and SL(2,C)

abstract:
  It is known that the Selberg zeta function for the modular group has an
expression in terms of the class numbers and the fundamental units of the
indefinite binary quadratic forms. In the present paper, we generalize such a
expression to any congruence subgroup of the modular groups in SL(2,R) and
SL(2,C).


title:
$n$-level density of the low-lying zeros of quadratic Dirichlet
  $L$-functions

abstract:
  The Density Conjecture of Katz and Sarnak associates a classical compact
group to each reasonable family of $L$-functions. Under the assumption of the
Generalized Riemann Hypothesis, Rubinstein computed the $n$-level density of
low-lying zeros for the family of quadratic Dirichlet $L$-functions in the case
that the Fourier transform $\hat{f}(u)$ of any test function $f$ is supported
in the region $\sum^n_{j=1}u_j < 1$ and showed that the result agrees with the
Density Conjecture. In this paper, we improve Rubinstein's result on computing
the $n$-level density for the Fourier transform $\hat{f}(u)$ being supported in
the region $\sum^n_{j=1}u_j < 2$.


title: Are young radio sources in equipartition?

abstract:
  The knowledge of physical conditions in young radio sources is important for
defining the framework of models describing radio source evolution. We
investigate whether young radio sources are in equipartition (i.e. minimum
energy) conditions by comparing the equipartition magnetic fields of 5 High
Frequency Peakers (HFP) with values directly inferred from the spectral peak
assumed to be produced by synchrotron self absorption. Multi-frequency VLBA
observations of 5 HFPs were carried out in both the optically thick and thin
part of the spectrum to determine the spectral shape and angular size of the
components for which individual radio spectra were obtained. We find that the
magnetic fields measured using observations agree well with those obtained by
assuming equipartition, which implies that these sources are in minimum energy
condition and the turnover in their spectra is due probably to SSA. In two
source components, we found that the peak of the spectrum is caused by
absorption of a thermal plasma instead of being due to SSA. The magnetic fields
found in the various components range from 10 to 100 mG. In the presence of
such high magnetic fields, electron populations with rather low $\gamma$ emit
in the GHz-regime. In one source, we detect low-surface brightness extended
emission at low frequency located ~30 mas (~50 pc) from the main source. This
feature may be related to either an earlier episode of radio activity or a
discontinuous start of the radio activity (sputtering). By comparing our data
with previous VLBA observations, we estimate the hotspot advance speed to be in
the range 0.1-0.7c and kinematic ages of a few hundred years.


title:
Simulations of Galactic Cosmic Ray Impacts on the Herschel/PACS
  bolometer Arrays with Geant4 Code

abstract:
  The effects of the in-flight behaviour of the bolometer arrays of the
Herschel/PACS instrument under impacts of Galactic cosmic rays are explored.
This instrument is part of the ESA-Herschel payload, which will be launched at
the end of 2008 and will operate at the Lagrangian L2 point of the Sun-Earth
system. We find that the components external to the detectors (the spacecraft,
the cryostat, the PACS box, collectively referred to as the `shield') are the
major source of secondary events affecting the detector behaviour. The impacts
deposit energy on the bolometer chips and influence the behaviour of nearby
pixels. 25% of hits affect the adjacent pixels. The energy deposited raises the
bolometer temperature by a factor ranging from 1 to 6 percent of the nominal
value. We discuss the effects on the observations and compare simulations with
laboratory tests.


title:
AMBER closure and differential phases: accuracy and calibration with a
  Beam Commutation

abstract:
  The first astrophysical results of the VLTI focal instrument AMBER have shown
the importance of the differential and closure phase measures, which are
supposed to be much less sensitive to atmospheric and instrumental biases than
the absolute visibility. However there are artifacts limiting the accuracy of
these measures which can be substantially overcome by a specific calibration
technique called Beam Commutation. This paper reports the observed accuracies
on AMBER/VLTI phases in different modes, discusses some of the instrumental
biases and shows the accuracy gain provided by Beam Commutation on the
Differential Phase as well as on the Closure Phase.


title:
Dual method for continuous-time Markowitz's Problems with nonlinear
  wealth equations

abstract:
  Continuous-time mean-variance portfolio selection model with nonlinear wealth
equations and bankruptcy prohibition is investigated by the dual method. A
necessary and sufficient condition which the optimal terminal wealth satisfies
is obtained through a terminal perturbation technique. It is also shown that
the optimal wealth and portfolio is the solution of a forward-backward
stochastic differential equation with constraints.


title: Photo- and Electroproduction of the Hypertriton on 3He

abstract:
  Differential cross sections of the photo- and electroproduction of the
hypertriton have been calculated by utilizing modern nuclear wave functions and
the elementary operator of KAON-MAID. It is found that a proper treatment of
Fermi motion is essential for the two processes. While the average momentum
approximation can partly simulate the Fermi motion in the process, the ``frozen
nucleon'' assumption yields very different results, especially at lower
energies. The Coulomb effect induced by the interaction between the positively
charged kaon and the hypertriton is found to be negligible. The influence of
higher partial waves is also found to be relatively small, in contrast to the
finding of the previous work. The off-shell assumption is found to be very
sensitive in the case of electroproduction rather than in photoproduction. It
is shown that the few available experimental data favor the assumption that the
initial nucleon is off-shell and the final hyperon is on-shell. This seems to
be reasonable, since the hyperon in the hypertriton is less bound than the
nucleon in the initial 3He nucleus. The effect of the missing resonance
D_{13}(1895) is more profound in the longitudinal cross sections. Excluding
this resonance reduces the longitudinal cross sections by one order of
magnitude, but does not change the effects of various off-shell assumptions on
the cross sections.


title:
Optically monitored nuclear spin dynamics in individual GaAs quantum
  dots grown by droplet epitaxy

abstract:
  We report optical orientation experiments in individual, strain free GaAs
quantum dots in AlGaAs grown by droplet epitaxy. Circularly polarized optical
excitation yields strong circular polarization of the resulting
photoluminescence at 4K. Optical injection of spin polarized electrons into a
dot gives rise to dynamical nuclear polarization that considerably changes the
exciton Zeeman splitting (Overhauser shift). We show that the created nuclear
polarization is bistable and present a direct measurement of the build-up time
of the nuclear polarization in a single GaAs dot in the order of one second.


title: An Improved Neutron Electric Dipole Moment Experiment

abstract:
  A new measurement of the neutron EDM, using Ramsey's method of separated
oscillatory fields, is in preparation at the new high intensity source of
ultra-cold neutrons (UCN) at the Paul Scherrer Institute, Villigen, Switzerland
(PSI). The existence of a non-zero nEDM would violate both parity and time
reversal symmetry and, given the CPT theorem, might lead to a discovery of new
CP violating mechanisms. Already the current upper limit for the nEDM
(|d_n|<2.9E-26 e.cm) constrains some extensions of the Standard Model.
  The new experiment aims at a two orders of magnitude reduction of the
experimental uncertainty, to be achieved mainly by (1) the higher UCN flux
provided by the new PSI source, (2) better magnetic field control with improved
magnetometry and (3) a double chamber configuration with opposite electric
field directions.
  The first stage of the experiment will use an upgrade of the RAL/Sussex/ILL
group's apparatus (which has produced the current best result) moved from
Institut Laue-Langevin to PSI. The final accuracy will be achieved in a further
step with a new spectrometer, presently in the design phase.


title:
On the performance of combined dichotomic predictors of natively
  unfolded proteins

abstract:
  The performance of single folding predictors and combination scores is
critically evaluated. We test mean packing, mean pairwise energy and the new
index gVSL2 on a dataset of 743 folded proteins and 81 natively unfolded
proteins. These predictors have an individual performance comparable or even
better than other proposed methods. We introduce here a strictly unanimous
score S_{SU} that combines them but leaves undecided those sequences
differently classified by two single predictors. The performance of the single
predictors on a dataset purged from the proteins left unclassified by S_{SU},
significantly increases, indicating that unclassified proteins are mainly false
predictions. Amino acid composition is the main determinant considered by these
predictors, therefore unclassified proteins have a composition compatible with
both folded and unfolded status. This is why purging a dataset from these
ambiguous proteins increases the performance of single predictors. The
percentage of proteins predicted as natively unfolded by S_{SU} in the three
kingdoms are: 4.1% for Bacteria, 1.0% for Archaea and 20.0% for Eukarya;
compatible with previous determinations. Evidence is given of a scaling law
relating the number of natively unfolded proteins with the total number of
proteins in a genome; a first estimate of the critical exponent is 1.95 +- 0.21


title:
Novel Regime of Operation for Superconducting Quantum Interference
  Filters

abstract:
  A new operating regime of the Superconducting Quantum Interference Filter
(SQIF) is investigated. The voltage to magnetic field response function, V(H),
is determined by a Fraunhofer dependence of the critical current and magnetic
flux focusing effect in Josephson junctions (F-mode). For SQIF-arrays made of
high-Tc superconducting bicrystal Josephson junctions the F-mode plays a
predominant role in the voltage-field response V(H). The relatively large
superconducting loops of the SQIF are used for inductive coupling to the
external input circuit. It is shown that the output noise of a SQIF-array
measured with a cooled amplifier in the 1-2 GHz range is determined by the
slope of the V(H) characteristic. Power gain and saturation power were
evaluated using low frequency SQIF parameters. Finally, we consider the
influence of the spread in the parameters of Josephson junctions in the
SQIF-array on the V(H) characteristic of the whole structure.


title: Decoherence of coupled qubit system

abstract:
  In this study, we examine decoherence of qubits system coupled independently
by using influence functional. We especially concentrated on the effect of
qubit flip process. We examine the zero-dimensional qubit and one-dimensional
qubits system coupled with multi-band one-dimensional system. The qubit flip
process leads to oscillation and self-excitation. We also obtained the time
evolution of von Neumann entropy.The pure dephasing channel indicates entropy.
These results show quantum brown motion. We present the numerical calculation
of the entropy for random telegraph noise. This indicates that the slower
random telegraph noise leads to more mixed state.Thus for charge qubit, the
background charge fluctuation is important.


title: High energy single top photoproduction at the LHC

abstract:
  High-energy photon-proton interactions at the LHC offer interesting
possibilities for the study of top properties. Using a fast simulation of a
LHC-like detector, first results on the measurement of the |V_{tb}| matrix
element using Wt photoproduction are presented. Anomalous photoproduction of
single top due to Flavour-Changing Neutral Currents permits to improve the
current limits on the coupling parameters, k_{tu\gamma} and k_{tc\gamma} after
only 1 fb^{-1}.


title:
Current status of CARLOMAT, a program for automatic computation of
  lowest order cross sections

abstract:
  The current status of CARLOMAT, a program for automatic computation of the
lowest order cross sections of multiparticle reactions is described, the
results of comparisons with other multipurpose Monte Carlo programs are shown
and some new results on e+e- -> b anti-b b anti-b u anti-d d anti-u are
presented.


title: A quantum theory for a total system including a reference system

abstract:
  The standard formalism of quantum mechanics is extended to describe a total
system including the reference system (RS), with respect to which the total
system is described. The RS is assumed to be able to act as a measuring
apparatus, with measurement records given by the values of some reference
properties of the RS. In order to describe the total system, we define a frame
of reference (FR) as a set of states that can be used to express all other
states of the total system. The theory is based on four basic postulates, which
have, loosely speaking, the following contents. (i) A reference property of a
RS has a definite value and is sufficiently stable in the FR directly related
to the reference property. (ii) States of the total system are associated with
vectors in the Hilbert space. (iii) Schr\"odinger equation is the dynamical law
in each valid FR. (iv) Under certain condition a property of a system can be
regarded as a reference property; vector descriptions of the total system given
in different FRs of the same RS may have a probabilistic relationship like in
Born's rule.


title:
The gas turbulence in planetary nebulae: quantification and multi-D maps
  from long-slit, wide-spectral range echellogram

abstract:
  This methodological paper is part of a short series dedicated to the
long-standing astronomical problem of de-projecting the bi-dimensional,
apparent morphology of a three-dimensional distribution of gas. We focus on the
quantification and spatial recovery of turbulent motions in planetary nebulae
(and other classes of expanding nebulae) by means of long-slit echellograms
over a wide spectral range. We introduce some basic theoretical notions,
discuss the observational methodology, and develop an accurate procedure
disentangling all broadening components of the velocity profile in all spatial
positions of each spectral image. This allows us to extract random, non-thermal
motions at unprecedented accuracy, and to map them in 1-, 2- and 3-dimensions.
We present the solution to practical problems in the multi-dimensional
turbulence-analysis of a testing-planetary nebula (NGC 7009), using the
three-step procedure (spatio-kinematics, tomography, and 3-D rendering)
developed at the Astronomical Observatory of Padua. In addition, we introduce
an observational paradigm valid for all spectroscopic parameters in all classes
of expanding nebulae. Unsteady, chaotic motions at a local scale constitute a
fundamental (although elusive) kinematical parameter of each planetary nebula,
providing deep insights on its different shaping agents and mechanisms, and on
their mutual interaction. The detailed study of turbulence, its stratification
within a target and (possible) systematic variation among different sub-classes
of planetary nebulae deserve long-slit, multi-position angle, wide-spectral
range echellograms containing emissions at low-, medium-, and high-ionization,
to be analyzed pixel-to-pixel with a straightforward and versatile methodology,
extracting all the physical information stored in each frame at best.


title: Localization of Simultaneous Multiple Sources using SMS-LORETA

abstract:
  In this paper we present a new localization method SMS-LORETA (Simultaneous
Multiple Sources- Low Resolution Brain Electromagnetic Tomography), capable to
locate efficiently multiple simultaneous sources. The new method overcomes some
of the drawbacks of sLORETA (standardized Low Resolution Brain Electromagnetic
Tomography). The key idea of the new method is the iterative search for current
dipoles, harnessing the low error single source localization performance of
sLORETA. An evaluation of the new method by simulation has been enclosed.


title: Theory Review of Exclusive Rare Radiative Decays

abstract: I briefly review the theory status of exclusive rare radiative decays.


title: Quantum reflection of helium atom beams from a microstructured grating

abstract:
  We observe high-resolution diffraction patterns of a thermal-energy
helium-atom beam reflected from a microstructured surface grating at grazing
incidence. The grating consists of 10-$\mu$m-wide Cr strips patterned on a
quartz substrate and has a periodicity of 20 $\mu$m. Fully-resolved diffraction
peaks up to the $7^{\rm th}$ order are observed at grazing angles up to 20
mrad. With changes in de Broglie wavelength or grazing angle the relative
diffraction intensities show significant variations which shed light on the
nature of the atom-surface interaction potential. The observations are
explained in terms of quantum reflection at the long-range attractive
Casimir-van der Waals potential.


title:
Graph polynomials and Tutte-Grothendieck invariants: an application of
  elementary finite Fourier analysis

abstract:
  This paper is based on a series of talks given at the Patejdlovka Enumeration
Workshop held in the Czech Republic in November 2007. The topics covered are as
follows. The graph polynomial, Tutte-Grothendieck invariants, an overview of
relevant elementary finite Fourier analysis, the Tutte polynomial of a graph as
a Hamming weight enumerator of its set of tensions (or flows), and a
description of a family of polynomials containing the graph polynomial which
yield Tutte-Grothendieck invariants in a similar way.


title:
Phase stability of cation-doped LiMnO$_{2}$]{Phase stability of
  cation-doped LiMnO$_{2}$ within the GGA+U approximation

abstract:
  First principles density functional theory calculations within the GGA+U
approximation were performed for LiMn$_{1-x}$M$_x$O$_{2}$, a candidate cathode
material for lithium-ion batteries, with ($x=0.25$, M=Ni, Fe, Co, Mg), to
investigate the effect of doping on the destabilization of the monoclinic
structure relative to the layered rhombohedral structure. A primary motivation
of this work was to determine to what extent the predictions of the
electronically more realistic GGA+U treatment would differ from those obtained
within the GGA. Several significant qualitative changes are found. For the
pristine system in the rhombohedral structure, Mn ions show a high-spin state
within GGA+U, rather than the low spin (metallic) state found in GGA. The doped
rhombohedral structure is unstable within GGA+U, rather than metastable, as in
GGA. In the monoclinic structure, the dopant oxidation states are the same
(trivalent Fe, divalent Co, Ni) in GGA+U and GGA. Co and Ni ions show a higher
spin state in GGA+U than in GGA. The divalent dopants destabilized the
monoclinic structure to a greater extent than trivalent dopants within the
GGA+U, as expected from previous GGA calculations. Overall, our results suggest
that the relatively close agreement sometimes found between properties
calculated within the GGA and GGA+U may be misleading, because the underlying
electronic behaviors may be profoundly different.


title: Weighted pluricomplex energy

abstract:
  We study the complex Monge-Ampre operator on the classes of finite
pluricomplex energy $\mathcal{E}_\chi (\Omega)$ in the general case
($\chi(0)=0$ i.e. the total Monge-Ampre mass may be infinite). We establish an
interpretation of these classes in terms of the speed of decrease of the
capacity of sublevel sets and give a complete description of the range of the
operator $(dd^c \cdot)^n$ on the classes $\mathcal{E}\chi(\Omega).$


title: The PBW Filtration, Demazure Modules and Toroidal Current Algebras

abstract:
  Let $L$ be the basic (level one vacuum) representation of the affine
Kac-Moody Lie algebra $\hat{\mathfrak g}$. The $m$-th space $F_m$ of the PBW
filtration on $L$ is a linear span of vectors of the form $x_1... x_lv_0$,
where $l\le m$, $x_i\in \hat{\mathfrak g}$ and $v_0$ is a highest weight vector
of $L$. In this paper we give two descriptions of the associated graded space
$L^{\rm gr}$ with respect to the PBW filtration. The "top-down" description
deals with a structure of $L^{\rm gr}$ as a representation of the abelianized
algebra of generating operators. We prove that the ideal of relations is
generated by the coefficients of the squared field $e_\theta(z)^2$, which
corresponds to the longest root $\theta$. The "bottom-up" description deals
with the structure of $L^{\rm gr}$ as a representation of the current algebra
${\mathfrak g}\otimes {\mathbb C}[t]$. We prove that each quotient
$F_m/F_{m-1}$ can be filtered by graded deformations of the tensor products of
$m$ copies of ${\mathfrak g}$.


title:
Dissipation and entanglement dynamics for two interacting qubits coupled
  to independent reservoirs

abstract:
  We derive the master equation of a system of two coupled qubits by taking
into account their interaction with two independent bosonic baths. Important
features of the dynamics are brought to light, such as the structure of the
stationary state at general temperatures and the behaviour of the entanglement
at zero temperature, showing the phenomena of sudden death and sudden birth as
well as the presence of stationary entanglement for long times. The model here
presented is quite versatile and can be of interest in the study of both
Josephson junction architectures and cavity-QED.


title: A Zerocrossing Analysis

abstract:
  (Abbr.) We consider a direct representation of a periodic time-function by
means of its zero-crossings. The use of the zero-crossings as the describing
parameters is made possible by a singular model of a strongly nonlinear
electrical element. This new method is found helpful in the calculation and
synthesis of a practically important system, and deserves attention of the
mathematicians.


title:
Particle interactions with single or multiple 3D solar reconnecting
  current sheets

abstract:
  The acceleration of charged particles (electrons and protons) in flaring
solar active regions is analyzed by numerical experiments. The acceleration is
modelled as a stochastic process taking place by the interaction of the
particles with local magnetic reconnection sites via multiple steps. Two types
of local reconnecting topologies are studied: the Harris-type and the X-point.
A formula for the maximum kinetic energy gain in a Harris-type current sheet,
found in a previous work of ours, fits well the numerical data for a single
step of the process. A generalization is then given approximating the kinetic
energy gain through an X-point. In the case of the multiple step process, in
both topologies the particles' kinetic energy distribution is found to acquire
a practically invariant form after a small number of steps. This tendency is
interpreted theoretically. Other characteristics of the acceleration process
are given, such as the mean acceleration time and the pitch angle distributions
of the particles.


title: Scalable Ellipsoidal Classification for Bipartite Quantum States

abstract:
  The Separability Problem is approached from the perspective of Ellipsoidal
Classification. A Density Operator of dimension N can be represented as a
vector in a real vector space of dimension $N^{2}- 1$, whose components are the
projections of the matrix onto some selected basis. We suggest a method to test
separability, based on successive optimization programs. First, we find the
Minimum Volume Covering Ellipsoid that encloses a particular set of properly
vectorized bipartite separable states, and then we compute the Euclidean
distance of an arbitrary vectorized bipartite Density Operator to this
ellipsoid. If the vectorized Density Operator falls inside the ellipsoid, it is
regarded as separable, otherwise it will be taken as entangled. Our method is
scalable and can be implemented straightforwardly in any desired dimension.
Moreover, we show that it allows for detection of Bound Entangled States


title:
Quantum interference in laser-induced nonsequential double ionization in
  diatomic molecules: the role of alignment and orbital symmetry

abstract:
  We address the influence of the orbital symmetry and of the molecular
alignment with respect to the laser-field polarization on laser-induced
nonsequential double ionization of diatomic molecules, in the length and
velocity gauges. We work within the strong-field approximation and assume that
the second electron is dislodged by electron-impact ionization, and also
consider the classical limit of this model. We show that the electron-momentum
distributions exhibit interference maxima and minima due to the electron
emission at spatially separated centers. The interference patterns survive the
integration over the transverse momenta for a small range of alignment angles,
and are sharpest for parallel-aligned molecules. Due to the contributions of
transverse-momentum components, these patterns become less defined as the
alignment angle increases, until they disappear for perpendicular alignment.
This behavior influences the shapes and the peaks of the electron momentum
distributions.


title: Products of Functions in Hardy and Lipschitz or Bmo Spaces

abstract:
  We define as a distribution the product of a function (or distribution) h in
some Hardy space Hp with a function b in the dual space of Hp. Moreover, we
prove that the product bxh may be written as the sum of an integrable function
with a distribution that belongs to some Hardy-Orlicz space, or to the same
Hardy space Hp, depending on the values of p.


title: On stars and Steiner stars. II

abstract:
  A {\em Steiner star} for a set $P$ of $n$ points in $\RR^d$ connects an
arbitrary center point to all points of $P$, while a {\em star} connects a
point $p\in P$ to the remaining $n-1$ points of $P$. All connections are
realized by straight line segments. Fekete and Meijer showed that the minimum
star is at most $\sqrt{2}$ times longer than the minimum Steiner star for any
finite point configuration in $\RR^d$. The maximum ratio between them, over all
finite point configurations in $\RR^d$, is called the {\em star Steiner ratio}
in $\RR^d$. It is conjectured that this ratio is $4/\pi = 1.2732...$ in the
plane and $4/3=1.3333...$ in three dimensions. Here we give upper bounds of
1.3631 in the plane, and 1.3833 in 3-space, thereby substantially improving
recent upper bounds of 1.3999, and $\sqrt{2}-10^{-4}$, respectively. Our
results also imply improved bounds on the maximum ratios between the minimum
star and the maximum matching in two and three dimensions.


title:
Termination of lambda-calculus with the extra Call-By-Value rule known
  as assoc

abstract:
  In this paper we prove that any lambda-term that is strongly normalising for
beta-reduction is also strongly normalising for beta,assoc-reduction. assoc is
a call-by-value rule that has been used in works by Moggi, Joachimsky, Espirito
Santo and others. The result has often been justified with incomplete or
incorrect proofs. Here we give one in full details.


title: Superconductive pumping of nanomechanical vibrations

abstract:
  We demonstrate that a supercurrent can pump energy from a battery that
provides a voltage bias into nanomechanical vibrations. Using a device
containing a nanowire Josephson weak link as an example we show that a
nonlinear coupling between the supercurrent and a static external magnetic
field leads to a Lorentz force that excites bending vibrations of the wire at
resonance conditions. We also demonstrate the possibility to achieve more than
one regime of stationary nonlinear vibrations and how to detect them via the
associated dc Josephson currents and we discuss possible applications of such a
multistable nanoelectromechanical dynamics.


title: Total correlations and mutual information

abstract:
  In quantum information theory it is generally accepted that quantum mutual
information is an information-theoretic measure of total correlations of a
bipartite quantum state. We argue that there exist quantum states for which
quantum mutual information cannot be considered as a measure of total
correlations. Moreover, for these states we propose a different way of
quantifying total correlations.


title:
A Renormalized perturbation theory for problems with nontrivial boundary
  conditions or backgrounds in two space-time dimensions

abstract:
  In this paper we discuss the effects of nontrivial boundary conditions or
backgrounds, including non-perturbative ones, on the renormalization program
for systems in two dimensions. Here we present an alternative renormalization
procedure such that these non-perturbative conditions can be taken into account
in a self-contained and, we believe, self-consistent manner. These conditions
have profound effects on the properties of the system, in particular all of its
$n$-point functions. To be concrete, we investigate these effects in the
$\lambda \phi^4$ model in two dimensions and show that the mass counterterms
turn out to be proportional to the Green's functions which have nontrivial
position dependence in these cases. We then compute the difference between the
mass counterterms in the presence and absence of these conditions. We find that
in the case of nontrivial boundary conditions this difference is minimum
between the boundaries and infinite on them. The minimum approaches zero when
the boundaries go to infinity. In the case of nontrivial backgrounds, we
consider the kink background and show that the difference is again small and
localized around the kink.


title: Pion scattering in Wilson ChPT

abstract:
  We compute the scattering amplitude for pion scattering in Wilson chiral
perturbation theory for two degenerate quark flavors. We consider two different
regimes where the quark mass m is of order (i) a\Lambda_QCD^2 and (ii)
a^2\Lambda_QCD^3. Analytic expressions for the scattering lengths in all three
isospin channels are given. As a result of the O(a^2) terms the I=0 and I=2
scattering lengths do not vanish in the chiral limit. Moreover, additional
chiral logarithms proportional to a^2\ln M_{\pi}^2 are present in the one-loop
results for regime (ii). These contributions significantly modify the familiar
results from continuum chiral perturbation theory.


title: New estimates and tests of independence in some copula models

abstract:
  We introduce new estimates and tests of independence in copula models with
unknown margins using $\phi$-divergences and the duality technique. The
asymptotic laws of the estimates and the test statistics are established both
when the parameter is an interior or a boundary value of the parameter space.
Simulation results show that the choice of $\chi^2$-divergence has good
properties in terms of efficiency-robustness.


title: Photon Physics at LHC

abstract:
  Experimental prospects for studying high-energy photon-photon and
photon-proton interactions at the LHC are discussed. Assuming a typical LHC
multipurpose detector, various signals and their irreducible backgrounds are
presented after applying acceptance cuts. Selection strategies based on photon
interaction tagging techniques are presented. Prospects are discussed for the
Higgs boson search, detection of SUSY particles and of anomalous quartic gauge
couplings, as well as for the top quark physics.


title: On the covariant relativistic separable kernel

abstract:
  Two different methods of the covariant relativistic separable kernel
construction in the Bethe-Salpeter approach are considered. One of them leads
in the center-of-mass system of two particles to the quasipotential equation.
The constructed 4-dimensional covariant functions are used to reproduce
neutron-proton phase shifts for total angular momenta $J=0,1$. Obtained results
are compared with other model calculations.


title:
On the existence of the Boltzmann-Grad limit for a system of hard smooth
  spheres

abstract:
  Despite the progress achieved by kinetic theory, its rigorous theoretical
foundations still remain unsolved to date. This concerns in particular the
search of possible exact kinetic equations and, specifically, the conjecture
proposed by Grad (Grad, 1972) and developed in a seminal work by Lanford
(Lanford, 1974) that kinetic equations - such as the Boltzmann equation for a
gas of classical hard spheres - might result exact in an appropriate asymptotic
limit, usually denoted as Boltzmann-Grad limit. The Lanford conjecture has
actually had a profound influence on the scientific community, giving rise to a
whole line of original research in kinetic theory and mathematical physics.
Nevertheless, several aspects of the theory remain to be addressed and
clarified. In fact, its validity has been proven for the Boltzmann equation
only at most in a weak sense, i.e., if the Boltzmann-Grad limit is defined
according to the weak * convergence. While it is doubtful whether the result
applies for arbitrary times and for general situations (and in particular more
generally for classical systems of particles interacting via binary forces), it
remains completely unsolved the issue whether the conjecture might be valid
also in a stronger sense (\textit{strong Lanford conjecture}). This paper will
point out a physical model providing a counter-example to the strong Lanford
conjecture, representing a straightforward generalization of the classical
model based on a gas of hard-smooth spheres. In particular we claim that that
the one-particle limit function, defined in the sense of the strong
Boltzmann-Grad limit, does not generally satisfy the BBGKY (or Boltzmann)
hierarchy. The result is important for the theoretical foundations of kinetic
theory.


title: Modeling the Wind of the Be Star SS 2883

abstract:
  Observations of eclipses of the radio pulsar B1259-63 by the disk of its
Be-star companion SS 2883 provide an excellent opportunity to study the winds
of stars of this type. The eclipses lead to variations in the radio flux (due
to variations in the free-free absorption), dispersion measure, rotation
measure, and linear polarization of the pulsar. We have carried out numerical
modeling of the parameters of the Be-star wind and compared the results with
observations.


title: Algorithm for computing local Bernstein-Sato ideals

abstract:
  Given $p$ polynomials of $n$ variables over a field $k$ of characteristic 0
and a point $a \in k^n$, we propose an algorithm computing the local
Bernstein-Sato ideal at $a$. Moreover with the same algorithm we compute a
constructible stratification of $k^n$ such that the local Bernstein-Sato ideal
is constant along each stratum. Finally, we present non-trivial examples
computed with our algorithm.


title: A Satake type theorem for Super Automorphic forms

abstract:
  Aim of this article is a Satake type theorem for super automorphic forms on a
complex bounded symmetric super domain B of rank 1 with respect to a lattice.
This theorem - roughly speaking - says that for large weight k and all p from 1
to infinity (both including) a super automorphic form on B is a super cusp form
if and only if its p-norm with respect to a certain measure on the quotient of
B is finite. And so in particular all these Lp-spaces coincide! We will give a
proof of this theorem using an unbounded realization of B and Fourier
decomposition at the cusps of the quotient mapped to infinity via a partial
Cayley transform.


title: Complex energy approaches for calculating isobaric analogue states

abstract:
  Two methods the complex energy shell model (CXSM) and the complex scaling
(CS) approach were used for calculating isobaric analog resonances (IAR) in the
Lane model. The IAR parameters calculated by the CXSM and the CS methods were
checked against the parameters extracted from the direct numerical solution of
the coupled channel Lane equations (CC). The agreement with the CC results was
generally better than 1 keV for both methods and for each partial waves
concerned. Similarities and differences of the CXSM and the CS methods are
discussed. CXSM offers a direct way to study the configurations of the IAR wave
function in contrast to the CS method.


title: Condensation-Driven Aggregation in One Dimension

abstract:
  We propose a model for aggregation where particles are continuously growing
by heterogeneous condensation in one dimension and solve it exactly. We show
that the particle size spectra exhibit transition to dynamic scaling
$c(x,t)\sim t^{-\beta}\phi(x/t^z)$. The exponents $\beta$ and $z$ satisfy a
generalized scaling relation $\beta=(1+q)z$ where the value of $q$ is fixed by
a non-trivial conservation law. We have shown that the value of $(1+q)$ is
always less than the value 2 of aggregation without condensation.


title:
The ground state energy of a low density Bose gas: a second order upper
  bound

abstract:
  Consider $N$ bosons in a finite box $\Lambda= [0,L]^3\subset \bR^3$
interacting via a two-body nonnegative soft potential $V= \lambda \tilde V$
with $\tilde V$ fixed and $\lambda>0$ small. We will take the limit $L, N \to
\infty$ by keeping the density $\varrho= N/L^{3}$ fixed and small. We construct
a variational state which gives an upper bound on the ground state energy per
particle $\e$ $$ \e \le 4\pi\varrho a \Big [1+ \frac{128}{15\sqrt{\pi}}(\varrho
a^3)^{1/2}S_\lambda \Big ]
  + O(\varrho^2|\log\varrho|), \quad {as $\varrho\to 0$} $$ with a constant
satisfying $$
  1\leq S_\lambda \leq 1+C\lambda. $$ Here $a$ is the scattering length of $V$
and thus depends on $\lambda$. In comparison, the prediction by Lee-Yang
\cite{LYang} and Lee-Huang-Yang \cite{LHY} asserts that $S_\lambda=1$
independent of $\lambda$.


title: Myopic Coding in Multiterminal Networks

abstract:
  This paper investigates the interplay between cooperation and achievable
rates in multi-terminal networks. Cooperation refers to the process of nodes
working together to relay data toward the destination. There is an inherent
tradeoff between achievable information transmission rates and the level of
cooperation, which is determined by how many nodes are involved and how the
nodes encode/decode the data. We illustrate this trade-off by studying
information-theoretic decode-forward based coding strategies for data
transmission in multi-terminal networks. Decode-forward strategies are usually
discussed in the context of omniscient coding, in which all nodes in the
network fully cooperate with each other, both in encoding and decoding. In this
paper, we investigate myopic coding, in which each node cooperates with only a
few neighboring nodes. We show that achievable rates of myopic decode-forward
can be as large as that of omniscient decode-forward in the low SNR regime. We
also show that when each node has only a few cooperating neighbors, adding one
node into the cooperation increases the transmission rate significantly.
Furthermore, we show that myopic decode-forward can achieve non-zero rates as
the network size grows without bound.