title:
Networked Multiple Description Estimation and Compression with Resource
  Scalability

abstract:
  We present a joint source-channel multiple description (JSC-MD) framework for
resource-constrained network communications (e.g., sensor networks), in which
one or many deprived encoders communicate a Markov source against bit errors
and erasure errors to many heterogeneous decoders, some powerful and some
deprived. To keep the encoder complexity at minimum, the source is coded into K
descriptions by a simple multiple description quantizer (MDQ) with neither
entropy nor channel coding. The code diversity of MDQ and the path diversity of
the network are exploited by decoders to correct transmission errors and
improve coding efficiency. A key design objective is resource scalability:
powerful nodes in the network can perform JSC-MD distributed
estimation/decoding under the criteria of maximum a posteriori probability
(MAP) or minimum mean-square error (MMSE), while primitive nodes resort to
simpler MD decoding, all working with the same MDQ code. The application of
JSC-MD to distributed estimation of hidden Markov models in a sensor network is
demonstrated. The proposed JSC-MD MAP estimator is an algorithm of the longest
path in a weighted directed acyclic graph, while the JSC-MD MMSE decoder is an
extension of the well-known forward-backward algorithm to multiple
descriptions. Both algorithms simultaneously exploit the source memory, the
redundancy of the fixed-rate MDQ, and the inter-description correlations. They
outperform the existing hard-decision MDQ decoders by large margins (up to
8dB). For Gaussian Markov sources, the complexity of JSC-MD distributed MAP
sequence estimation can be made as low as that of typical single description
Viterbi-type algorithms.


title:
Three-dimensional multi-mesh material point method for solving collision
  problems

abstract:
  Contact algorithm between different bodies plays an important role in solving
collision problems. Usually it is not easy to be treated very well. Several
ones for material point method were proposed by Bardenhangen, Brackbill, and
  Sulsky\cite{Bardenhagen2000,Bardenhagen2001}, Hu and Chen\cite{Hu_Chen2003}.
  An improved one for three-dimensional material point method is presented in
this paper. The improved algorithm emphasizes the energy conservation of the
system and faithfully recovers opposite acting forces between contacting
bodies. Contrasted to the one by Bardenhagen, both the normal and tangential
contacting forces are more appropriately applied to the contacting bodies via
the contacting nodes of the background mesh; Contrasted to the one by Hu and
Chen, not only the tangential velocities but also the normal ones are handled
separately in respective individual mesh. This treatment ensures not only the
contact/sliding/separation procedure but also the friction between contacting
bodies are recovered. The presented contact algorithm is validated via
numerical experiments including rolling simulation, impact of elastic spheres,
impact of a Taylor bar and impact of plastic spheres. The numerical results
show that the multi-mesh material point method with the improved contact
algorithm is more suitable for solving collision problems.


title:
Stability and convergence of the Method of Fundamental Solutions for
  Helmholtz problems on analytic domains

abstract:
  The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace
and Helmholtz boundary value problems. Its main drawback is that it often leads
to ill-conditioned systems of equations. In this paper we investigate for the
interior Helmholtz problem on analytic domains how the singularities (charge
points) of the MFS basis functions have to be chosen such that approximate
solutions can be represented by the MFS basis in a numerically stable way. For
Helmholtz problems on the unit disc we give a full analysis which includes the
high frequency (short wavelength) limit. For more difficult and nonconvex
domains such as crescents we demonstrate how the right choice of charge points
is connected to how far into the complex plane the solution of the boundary
value problem can be analytically continued, which in turn depends on both
domain shape and boundary data. Using this we develop a recipe for locating
charge points which allows us to reach error norms of typically 10^{-11} on a
wide variety of analytic domains. At high frequencies of order only 3 points
per wavelength are needed, which compares very favorably to boundary integral
methods.


title:
Momentum-resolved charge excitations in high-Tc cuprates studied by
  resonant inelastic x-ray scattering

abstract:
  We report a Cu K-edge resonant inelastic x-ray scattering (RIXS) study of
high-Tc cuprates. Momentum-resolved charge excitations in the CuO2 plane are
examined from parent Mott insulators to carrier-doped superconductors. The Mott
gap excitation in undoped insulators is found to commonly show a larger
dispersion along the [pi,pi] direction than the [pi,0] direction. On the other
hand, the resonance condition displays material dependence. Upon hole doping,
the dispersion of the Mott gap excitation becomes weaker and an intraband
excitation appears as a continuum intensity below the gap at the same time. In
the case of electron doping, the Mott gap excitation is prominent at the zone
center and a dispersive intraband excitation is observed at finite momentum
transfer.


title:
Probability, unitarity, and realism in generally covariant quantum
  information

abstract:
  The formalism of covariant quantum theory, introduced by Reisenberger and
Rovelli, casts the description of quantum states and evolution into a framework
compatable with the principles of general relativity. The leap to this
covariant formalism, however, outstripped the standard interpretation used to
connect quantum theory to experimental predictions, leaving the predictions of
the RR theory ambiguous. Here we discuss in detail some implications of our
recently proposed description of covariant quantum information (CQI), which
addresses these problems. We show explicit agreement with standard quantum
mechanics in the appropriate limit. In addition to compatability with general
covariance, we show that our framework has other attractive and satisfying
features -- it is fully unitary, realist, and self-contained. The full
unitarity of the formalism in the presence of measurements allows us to invoke
time-reversal symmetry to obtain new predictions closely related to the quantum
Zeno effect.


title:
Suzaku Observations of Hercules X-1 : Measurements of the Two Cyclotron
  Harmonics

abstract:
  The accretion-powered pulsar Her X-1 was observed with Suzaku twice in its
main-on state, on 2005 October 5-6 and 2006 March 29-30, for a net exposure of
30.5 ks and 34.4 ks, respectively. In the 2005 and 2006 observations, the
source was detected at an average 10-30 keV intensity of 290 mCrab and 230
mCrab, respectively. The intrinsic pulse period was measured on both occasions
at 1.23776 s by HXD-PIN, after barycentric and binary corrections. The pulse
phase-averaged spectra in the energy range above 10 keV are well fitted by
``Negative and Positive power-law times EXponential (NPEX)'' model, multiplied
by a fundamental cyclotron resonance scattering feature at ~36 keV which
appears very significantly in the HXD-PIN data. The resonance profiles were
reproduced successfully by the Lorentzian type scattering cross section, rather
than by a Gaussian type alternative. The pulse phase-averaged HXD-GSO data,
covering 50-120 keV, are featureless. However, in a differential spectrum
between the pulse-decay phase and off-pulse phase, the second harmonic
cyclotron resonance was detected in the GSO data at ~73 keV, with a depth of
1.6_-0.7^+0.9. This makes Her X-1 a 6th pulsar with established second harmonic
resonance. Implications of these results are briefly discussed.


title: Studies on the Chazy equations

abstract:
  In this paper, we study the Chazy III,IX and X equations. For the Chazy III
equation, by making the birational transformations the Chazy III equation is
transformed into a third-order ordinary differential equation of rational type.
For this equation, we find its meromorphic solutions, whose free parameters are
essentially two. We also show that the system associated with this equation
admits new special solutions solved by $tanh(t)$. For the Chazy IX equation, we
transform the Chazy IX equation to a system of the first-order ordinary
differential equations by birational transformations. For this system, we give
two new birational B{\"a}cklund transformations. We also give the holomorphy
condition of this system. Thanks to this holomorphy condition, we obtain a new
partial differential system in two variables involving the Chazy IX equation,
This system satisfies the compatibility condition, and admits a travelling wave
solution. For the Chazy X equation, we transform the Chazy X equation to a
system of the first-order ordinary differential equations by birational
transformations. For this system, we give two birational B{\"a}cklund
transformations. One of them is new. We also give the holomorphy condition of
this system. Thanks to this holomorphy condition, we can recover this system.


title: Quark Confinement and the Fractional Quantum Hall Effect

abstract:
  Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in
the fluxtube-quark system the topology of a baryon consisting three heavy
flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in
condensed matter. This similarity yields the result that the constituent quarks
of baryon have the "filling factor" 1/3, thus the previous conjecture that
quark confinement is a correlation effect was confirmed. Moreover, by deriving
a Hamiltonian of the system analogous to that of FQHE, we predict an energy gap
for the ground state of a heavy three-quark system.


title: An EL-labeling of the subgroup lattice

abstract:
  In a 2001 paper, Shareshian conjectured that the subgroup lattice of a
finite, solvable group has an EL-labeling. We construct such a labeling, and
verify that our labeling has the expected properties.


title: On the endomorphism algebra of modular Gelfand-Graev representations

abstract:
  We study the endomorphism algebras of a modular Gelfand-Graev representation
of a finite reductive group by investigating modular properties of
homomorphisms constructed by Curtis and Curtis-Shoji.


title: Degenerations of quadratic differentials on CP1

abstract:
  We describe the connected components of the complement of a natural
"diagonal" of real codimension 1 in a stratum of quadratic differentials on
CP1. We establish a natural bijection between the set of these connected
components and the set of generic configurations that appear on such "flat
spheres". We also prove that the stratum has only one topological end. Finally,
we elaborate a necessary toolkit destined to evaluation of the Siegel-Veech
constants.


title: Congestion, equilibrium and learning: The minority game

abstract:
  The minority game is a simple congestion game in which the players' main goal
is to choose among two options the one that is adopted by the smallest number
of players. We characterize the set of Nash equilibria and the limiting
behavior of several well-known learning processes in the minority game with an
arbitrary odd number of players. Interestingly, different learning processes
provide considerably different predictions.


title: Space-time orientations and Maxwell's equations

abstract:
  An analysis of the concept of orientation used in electrodynamics is
presented. At least two different versions are encountered in the literature.
Both are clearly identified and comparisons are made.


title: A crystal theoretic method for finding rigged configurations from paths

abstract:
  The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one
correspondences between the set of highest paths and the set of rigged
configurations. In this paper, we give a crystal theoretic reformulation of the
KKR map from the paths to rigged configurations, using the combinatorial R and
energy functions. This formalism provides tool for analysis of the periodic
box-ball systems.


title: Applied statistics: A review

abstract:
  The main phases of applied statistical work are discussed in general terms.
The account starts with the clarification of objectives and proceeds through
study design, measurement and analysis to interpretation. An attempt is made to
extract some general notions.


title:
Field Experimental "Star Type" Metropolitan Quantum Key Distribution
  Network

abstract:
  Quantum key distribution (QKD) network has recently attracted growing
attentions. Due to the special characteristics of quantum information, to build
a full-connectivity QKD network without trusted relays is a stimulating
challenge. In this letter, we report on the first realization of QKD network
without trusted relays which covers metropolis in the commercial backbone
optical fiber networks. The star topology four-user QKD network automatically
addresses the quantum signal with a quantum router (QR) and every user in the
network can receive and distribute quantum keys to any others simultaneously.
The longest and the shortest length of fibers between two geographically
separated nodes are 42.6km and 32km respectively, and the maximum average
quantum bit error rate (QBER) is below 8%. This result opens a new possibility
for the use of QKD into existing network.


title: New Probable Dwarf Galaxies in Northern Groups of the Local Supercluster

abstract:
  We have searched for nearby dwarf galaxies in 27 northern groups with
characteristic distances 8-15 Mpc based on the Second Palomar Sky Survey
prints. In a total area of about 2000 square degrees, we have found 90
low-surface-brightness objects, more than 60% of which are absent from known
catalogs and lists. We have classified most of these objects (~80%) as
irregular dwarf systems. The first 21-cm line observations of the new objects
with the 100-m Effelsberg radio telescope showed that the typical linear
diameters (1-2 kpc), internal motions (30 km/s), and hydrogen masses
(~2*10^7M_sun) galaxies correspond to those expected for the dwarf population
of nearby groups.


title:
One-dimensional fermionic gases with attractive p-wave interaction in a
  hard-wall trap

abstract:
  We investigate the ground state of the one-dimensional fermionic system
enclosed in a hard-wall trap with attractive contact p-wave interactions. Based
on the Bethe ansatz method, the explicit wave function is derived by
numerically solving the Bethe ansatz equations for the full physical regimes
($-\infty \leq c_F\leq 0$). With the exact wave function some quantities which
are important in many-body physics are obtained, including the one-body density
matrix and the momentum distribution of the ground state for finite system. It
is shown that the shell structure of the density profiles disappears with the
increase of the interaction and in the fermionic Tonks-Girardeau (FTG) limit
the density distribution shows the same behavior as that of an ideal Bose gas.
However the one-body density matrix and the momentum distribution exhibit
completely different structures compared with their bosonic counterparts.


title: Lopsidedness and Sloshing in Centres of Advanced Mergers of Galaxies

abstract:
  We measure the non-axisymmetry in the luminosity distribution in the central
few kpc of a sample of advanced mergers of galaxies, by analyzing their 2MASS
images. All mergers show a high central asymmetry: the centres of isophotes
show a striking sloshing pattern with a spatial variation of upto 30 % within
the central 1 kpc; and the Fourier amplitude for lopsidedness (m=1) shows high
values upto 0.2 within the central 5 kpc. The central asymmetry is estimated to
be long-lived, lasting for ~ a few Gyr or ~ 100 local dynamical timescales.
This will significantly affect the dynamical evolution of this region, by
helping fuel the central active galactic nucleus, and also by causing the
secular growth of the bulge driven by lopsidedness.


title: Is there a new physics between electroweak and Planck scales?

abstract:
  We argue that there may be no intermediate particle physics energy scale
between the Planck mass $M_{Pl}\sim 10^{19}$ GeV and the electroweak scale $M_W
\sim 100$ GeV. At the same time, the number of problems of the Standard Model
(neutrino masses and oscillations, dark matter, baryon asymmetry of the
Universe, strong CP-problem, gauge coupling unification, inflation) could find
their solution at $M_{Pl}$ or $M_W$. The crucial experimental predictions of
this point of view are outlined.


title:
Theoretical analysis of the optimal conditions for photon-spin quantum
  state transfer

abstract:
  We analyzed the yield and fidelity of the quantum state transfer (QST) from a
photon polarization qubit to an electron spin qubit in a spin-coherent photo
detector consisting of a semiconductor quantum dot. We used a model consisting
of the quantum dot, where the QST is carried out, coupled with a photonic
cavity. We determined the optimal conditions that allow the realization of both
high-yield and high-fidelity QST.


title: An order result for the exponential divisor function

abstract:
  The integer $d=\prod_{i=1}^s p_i^{b_i}$ is called an exponential divisor of
$n=\prod_{i=1}^s p_i^{a_i}>1$ if $b_i \mid a_i$ for every $i\in \{1,2,...,s\}$.
Let $\tau^{(e)}(n)$ denote the number of exponential divisors of $n$, where
$\tau^{(e)}(1)=1$ by convention. The aim of the present paper is to establish
an asymptotic formula with remainder term for the $r$-th power of the function
$\tau^{(e)}$, where $r\ge 1$ is an integer. This improves an earlier result of
{\sc M. V. Subbarao} [5].


title: A study of the prompt and afterglow emission of the Short GRB 061201

abstract:
  Our knowledge of the intrinsic properties of short duration Gamma-Ray Bursts
has relied, so far, only upon a few cases for which the estimate of the
distance and an extended, multiwavelength monitoring of the afterglow have been
obtained. We carried out multiwavelength observations of the short GRB 061201
aimed at estimating its distance and studying its properties. We performed a
spectral and timing analysis of the prompt and afterglow emission and discuss
the results in the context of the standard fireball model. A clear temporal
break was observed in the X-ray light curve about 40 minutes after the burst
trigger. We find that the spectral and timing behaviour of the X-ray afterglow
is consistent with a jet origin of the observed break, although the optical
data can not definitively confirm this and other scenarios are possible. No
underlying host galaxy down to R~26 mag was found after fading of the optical
afterglow. Thus, no secure redshift could be measured for this burst. The
nearest galaxy is at z=0.111 and shows evidence of star formation activity. We
discuss the association of GRB 061201 with this galaxy and with the ACO S 995
galaxy cluster, from which the source is at an angular distance of 17'' and
8.5', respectively. We also test the association with a possible undetected,
positionally consistent galaxy at z~1. In all these cases, in the jet
interpretation, we find a jet opening angle of 1-2 degrees.


title:
Time-distance helioseismology: Sensitivity of f-mode travel times to
  flows

abstract:
  Time-distance helioseismology has shown that f-mode travel times contain
information about horizontal flows in the Sun. The purpose of this study is to
provide a simple interpretation of these travel times. We study the interaction
of surface-gravity waves with horizontal flows in an incompressible,
plane-parallel solar atmosphere. We show that for uniform flows less than
roughly 250 m s$^{-1}$, the travel-time shifts are linear in the flow
amplitude. For stronger flows, perturbation theory up to third order is needed
to model waveforms. The case of small-amplitude spatially-varying flows is
treated using the first-order Born approximation. We derive two-dimensional
Fr\'{e}chet kernels that give the sensitivity of travel-time shifts to local
flows. We show that the effect of flows on travel times depends on wave damping
and on the direction from which the observations are made. The main physical
effect is the advection of the waves by the flow rather than the advection of
wave sources or the effect of flows on wave damping. We compare the
two-dimensional sensitivity kernels with simplified three-dimensional kernels
that only account for wave advection and assume a vertical line of sight. We
find that the three-dimensional f-mode kernels approximately separate in the
horizontal and vertical coordinates, with the horizontal variations given by
the simplified two-dimensional kernels. This consistency between quite
different models gives us confidence in the usefulness of these kernels for
interpreting quiet-Sun observations.


title: Weakly anisotropic frustrated zigzag spin chain

abstract:
  The frustrated spin-1/2 model with weakly anisotropic ferromagnetic
nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is
studied with use of variational mean-field approach, scaling estimates of the
infrared divergencies in the perturbation theory and finite-size calculations.
The ground state phase diagram of this model contains three phases: the
ferromagnetic phase, the commensurate spin-liquid phase and the incommensurate
phase. The non-trivial behavior of the boundaries between these phases and the
character of the phase transitions in case of weak anisotropy are determined.


title: Generalization error for multi-class margin classification

abstract:
  In this article, we study rates of convergence of the generalization error of
multi-class margin classifiers. In particular, we develop an upper bound theory
quantifying the generalization error of various large margin classifiers. The
theory permits a treatment of general margin losses, convex or nonconvex, in
presence or absence of a dominating class. Three main results are established.
First, for any fixed margin loss, there may be a trade-off between the ideal
and actual generalization performances with respect to the choice of the class
of candidate decision functions, which is governed by the trade-off between the
approximation and estimation errors. In fact, different margin losses lead to
different ideal or actual performances in specific cases. Second, we
demonstrate, in a problem of linear learning, that the convergence rate can be
arbitrarily fast in the sample size $n$ depending on the joint distribution of
the input/output pair. This goes beyond the anticipated rate $O(n^{-1})$.
Third, we establish rates of convergence of several margin classifiers in
feature selection with the number of candidate variables $p$ allowed to greatly
exceed the sample size $n$ but no faster than $\exp(n)$.


title: On certain arithmetic functions involving exponential divisors, II

abstract:
  Asymptotic properties of certain arithmetic functions involving exponential
divisors are investigated.


title: Teleparallel Killing Vectors of the Einstein Universe

abstract:
  In this short paper we establish the definition of the Lie derivative of a
second rank tensor in the context of teleparallel theory of gravity and also
extend it for a general tensor of rank $p+q$. This definition is then used to
find Killing vectors of the Einstein universe. It turns out that Killing
vectors of the Einstein universe in the teleparallel theory are the same as in
General Relativity.


title:
Locally Indistinguishable Subspaces Spanned by Three-Qubit Unextendible
  Product Bases

abstract:
  We study the local distinguishability of general multi-qubit states and show
that local projective measurements and classical communication are as powerful
as the most general local measurements and classical communication. Remarkably,
this indicates that the local distinguishability of multi-qubit states can be
decided efficiently. Another useful consequence is that a set of orthogonal
$n$-qubit states is locally distinguishable only if the summation of their
orthogonal Schmidt numbers is less than the total dimension $2^n$. When $n=2$
such a condition is also sufficient. Employing these results, we show that any
orthonormal basis of a subspace spanned by arbitrary three-qubit orthogonal
unextendible product bases (UPB) cannot be exactly distinguishable by local
operations and classical communication. This not only reveals another intrinsic
property of three-qubit orthogonal UPB, but also provides a class of locally
indistinguishable subspaces with dimension 4. We also explicitly construct
locally indistinguishable subspaces with dimensions 3 and 5, respectively. In
particular, 3 is the minimal possible dimension of locally indistinguishable
subspaces. Combining with the previous results, we conclude that any positive
integer between 3 and 7 is the possible dimension of some three-qubit locally
indistinguishable subspace.


title:
Prompt photon hadroproduction at high energies in off-shell gluon-gluon
  fusion

abstract:
  The amplitude for production of a single photon associated with quark pair in
the fusion of two off-shell gluons is calculated. The matrix element found is
applied to the inclusive prompt photon hadroproduction at high energies in the
framework of kt-factorization QCD approach. The total and differential cross
sections are calculated in both central and forward pseudo-rapidity regions.
The conservative error analisys is performed. We used the unintegrated gluon
distributions in a proton which were obtained from the full CCFM evolution
equation as well as from the Kimber-Martin-Ryskin prescription. Theoretical
results were compared with recent experimental data taken by the D0 and CDF
collaborations at Fermilab Tevatron. Theoretical predictions for the LHC
energies are given.


title: Phase transitions in a fluid surface model with a deficit angle term

abstract:
  Nambu-Goto model is investigated by using the canonical Monte Carlo
simulation technique on dynamically triangulated surfaces of spherical
topology. We find that the model has four distinct phases; crumpled,
branched-polymer, linear, and tubular. The linear phase and the tubular phase
appear to be separated by a first-order transition. It is also found that there
is no long-range two-dimensional order in the model. In fact, no smooth surface
can be seen in the whole region of the curvature modulus \alpha, which is the
coefficient of the deficit angle term in the Hamiltonian. The bending energy,
which is not included in the Hamiltonian, remains large even at sufficiently
large \alpha in the tubular phase. On the other hand, the surface is
spontaneously compactified into a one-dimensional smooth curve in the linear
phase; one of the two degrees of freedom shrinks, and the other degree of
freedom remains along the curve. Moreover, we find that the rotational symmetry
of the model is spontaneously broken in the tubular phase just as in the same
model on the fixed connectivity surfaces.


title:
First Passage Densities and Boundary Crossing Probabilities for
  Diffusion Processes

abstract:
  We consider the boundary crossing problem for time-homogeneous diffusions and
general curvilinear boundaries. Bounds are derived for the approximation error
of the one-sided (upper) boundary crossing probability when replacing the
original boundary by a different one. In doing so we establish the existence of
the first-passage time density and provide an upper bound for this function. In
the case of processes with diffusion interval equal to whole real line this is
extended to a lower bound, as well as bounds for the first crossing time of a
lower boundary. An extension to some time-inhomogeneous diffusions is given.
These results are illustrated by numerical examples.


title: Renormalization of vacuum energy in linearized quantum gravity

abstract:
  In linearized quantum gravity, a shift of the average energy-momentum can be
compensated by a shift of the average gravitational field. This allows a
renormalization scheme that naturally removes the contribution of quantum
vacuum fluctuations to the cosmological constant, solving the old
cosmological-constant problem for weak gravitational fields.


title:
Deciding security properties for cryptographic protocols. Application to
  key cycles

abstract:
  There is a large amount of work dedicated to the formal verification of
security protocols. In this paper, we revisit and extend the NP-complete
decision procedure for a bounded number of sessions. We use a, now standard,
deducibility constraints formalism for modeling security protocols. Our first
contribution is to give a simple set of constraint simplification rules, that
allows to reduce any deducibility constraint system to a set of solved forms,
representing all solutions (within the bound on sessions).
  As a consequence, we prove that deciding the existence of key cycles is
NP-complete for a bounded number of sessions. The problem of key-cycles has
been put forward by recent works relating computational and symbolic models.
The so-called soundness of the symbolic model requires indeed that no key cycle
(e.g., enc(k,k)) ever occurs in the execution of the protocol. Otherwise,
stronger security assumptions (such as KDM-security) are required.
  We show that our decision procedure can also be applied to prove again the
decidability of authentication-like properties and the decidability of a
significant fragment of protocols with timestamps.


title: The double-mode RR Lyrae variable BS Com

abstract:
  We present the frequency analysis of the multicolour time series photometry
of the field RRd variable BS Comae. The large number of data points in each of
the BV(RI)_c bands and the ~0.01 magnitude accuracy of the individual
measurements allow us a high precision analysis of the properties of the
combination frequencies due to nonlinear coupling. Through the combination of
the frequency spectra in different colors we show that except for the
components corresponding to the linear combinations of the two pulsation modes,
there are no other components present above the millimagnitude amplitude level.


title:
Does Sub-millisecond Pulsar XTE J1739-285 Contain a Low Magnetic Neutron
  Star or Quark Star ?

abstract:
  With the possible detection of the fastest spinning nuclear-powered pulsar
XTE J1739-285 of frequency 1122 Hz (0.8913 ms), it arouses us to constrain the
mass and radius of its central compact object and to imply the stellar matter
compositions: neutrons or quarks. Spun-up by the accreting materials to such a
high rotating speed, the compact star should have either a small radius or
short innermost stable circular orbit. By the empirical relation between the
upper kHz quasi-periodic oscillation frequency and star spin frequency, a
strong constraint on mass and radius is obtained as 1.51 solar masses and 10.9
km, which excludes most equations of states (EOSs) of normal neutrons and
strongly hints the star promisingly to be a strange quark star. Furthermore,
the star magnetic field is estimated to be about $4\times10^{7} (G) < B <
10^{9} (G) $, which reconciles with those of millisecond radio pulsars,
revealing the clues of the evolution linkage of two types of astrophysical
objects.


title:
On the Distortion of the Eigenvalue Spectrum in MIMO Amplify-and-Forward
  Multi-Hop Channels

abstract:
  Consider a wireless MIMO multi-hop channel with n_s non-cooperating source
antennas and n_d fully cooperating destination antennas, as well as L clusters
containing k non-cooperating relay antennas each. The source signal traverses
all L clusters of relay antennas, before it reaches the destination. When relay
antennas within the same cluster scale their received signals by the same
constant before the retransmission, the equivalent channel matrix H relating
the input signals at the source antennas to the output signals at the
destination antennas is proportional to the product of channel matrices H_l,
l=1,...,L+1, corresponding to the individual hops. We perform an asymptotic
capacity analysis for this channel as follows: In a first instance we take the
limits n_s->infty, n_d->infty and k->infty, but keep both n_s/n_d and k/n_d
fixed. Then, we take the limits L->infty and k/n_d->infty. Requiring that the
H_l's satisfy the conditions needed for the Marcenko-Pastur law, we prove that
the capacity scales linearly in min{n_s,n_d}, as long as the ratio k/n_d scales
at least linearly in L. Moreover, we show that up to a noise penalty and a
pre-log factor the capacity of a point-to-point MIMO channel is approached,
when this scaling is slightly faster than linear. Conversely, almost all
spatial degrees of freedom vanish for less than linear scaling.


title: A Polynomial-time Algorithm for Computing the Permanent in GF(3^q)

abstract:
  A polynomial-time algorithm for computing the permanent in any field of
characteristic 3 is presented in this article. The principal objects utilized
for that purpose are the Cauchy and Vandermonde matrices, the discriminant
function and their generalizations of various types. Classical theorems on the
permanent such as the Binet-Minc identity and Borchadt's formula are widely
applied, while a special new technique involving the notion of limit re-defined
for fields of finite characteristics and corresponding computational methods
was developed in order to deal with a number of polynomial-time reductions. All
the constructions preserve a strictly algebraic nature ignoring the structure
of the basic field, while applying its infinite extensions for calculating
limits.
  A natural corollary of the polynomial-time computability of the permanent in
a field of a characteristic different from 2 is the non-uniform equality
between the complexity classes P and NP what is equivalent to RP=NP (Ref. [1]).


title:
The role of the quark and gluon GPDs in hard vector-meson
  electroproduction

abstract:
  Electroproduction of light vector mesons is analyzed on the basis of handbag
factorization. The required generalized parton distributions are constructed
from the CTEQ6 parton distributions with the help of double distributions. The
partonic subprocesses are calculated within the modified perturbative approach.
The present work extends our previous analysis of the longitudinal cross
section to the transverse one and other observables related to both the
corresponding amplitudes. Our results are compared to recent experimental
findings in detail.


title:
Coherent destruction of tunneling, dynamic localization and the
  Landau-Zener formula

abstract:
  We clarify the internal relationship between the coherent destruction of
tunneling (CDT) for a two-state model and the dynamic localization (DL) for a
one-dimensional tight-binding model, under the periodical driving field. The
time-evolution of the tight-binding model is reproduced from that of the
two-state model by a mapping of equation of motion onto a set of ${\rm SU}(2)$
operators. It is shown that DL is effectively an infinitely large dimensional
representation of the CDT in the ${\rm SU}(2)$ operators. We also show that
both of the CDT and the DL can be interpreted as a result of destructive
interference in repeated Landau-Zener level-crossings.


title: MAGIC multiwavelength observations: policy, and some recent results

abstract:
  MAGIC, 17 meters of diameter, is the world's largest single dish Imaging
Atmospheric Cherenkov Telescope, and reaches in the analysis the lowest energy
threshold (60 GeV) among the VHE gamma detectors. Completed in September 2004,
MAGIC started full operation with its first cycle of data taking in February
2005. MAGIC observations in the galaxy cover, among others, supernova remnants,
the Galactic Center and binary systems. The low threshold makes of MAGIC the
IACT looking deepest in the Universe: the record of extragalactic sources
detected includes Active Galactic Nuclei (AGN) at z > 0.2. Here we discuss the
present performance of MAGIC and the policy for the use of MAGIC data in
multiwavelength campaigns. After a review of some recent highlights from MW
studies, including the discovery of the most distant source ever detected (the
AGN 3C279 at z = 0.54), we present the expected performance of MAGIC after the
inauguration of the second telescope, scheduled for September 21st, 2008.
Multiwavelength studies are a key for the study of emission mechanisms from
galactic and extragalactic sources, and Very-High Energy photon detectors are
becoming crucial as the GLAST era approaches.


title:
Neutrino spin-flavor oscillations in electromagnetic fields of various
  configurations

abstract:
  We study spin-flavor oscillations of Dirac neutrinos with mixing and having
non-zero matrix of magnetic moments in magnetic fields of various
configurations. We discuss constant transversal and twisting magnetic fields.
To describe the dynamics of Dirac neutrinos we use relativistic quantum
mechanics approach based on the exact solutions to the Dirac-Pauli equation in
an external electromagnetic field. We derive transition probabilities for
different neutrino magnetic moments matrices.


title:
On the Outage Capacity of a Practical Decoder Accounting for Channel
  Estimation Inaccuracies

abstract:
  The optimal decoder achieving the outage capacity under imperfect channel
estimation is investigated. First, by searching into the family of nearest
neighbor decoders, which can be easily implemented on most practical coded
modulation systems, we derive a decoding metric that minimizes the average of
the transmission error probability over all channel estimation errors. Next, we
specialize our general expression to obtain the corresponding decoding metric
for fading MIMO channels. According to the notion of estimation-induced outage
(EIO) capacity introduced in our previous work and assuming no channel state
information (CSI) at the transmitter, we characterize maximal achievable
information rates, using Gaussian codebooks, associated to the proposed
decoder. In the case of uncorrelated Rayleigh fading, these achievable rates
are compared to the rates achieved by the classical mismatched
maximum-likelihood (ML) decoder and the ultimate limits given by the EIO
capacity. Numerical results show that the derived metric provides significant
gains for the considered scenario, in terms of achievable information rates and
bit error rate (BER), in a bit interleaved coded modulation (BICM) framework,
without introducing any additional decoding complexity.


title:
Nonadiabatic charge pumping in a one-dimensional system of
  noninteracting electrons by an oscillating potential

abstract:
  Using a tight-binding model, we study one-parameter charge pumping in a
one-dimensional system of non-interacting electrons. An oscillating potential
is applied at one site while a static potential is applied in a different
region. Using Floquet scattering theory, we calculate the current up to second
order in the oscillation amplitude and exactly in the oscillation frequency.
For low frequency, the charge pumped per cycle is proportional to the frequency
and therefore vanishes in the adiabatic limit. If the static potential has a
bound state, we find that such a state has a significant effect on the pumped
charge if the oscillating potential can excite the bound state into the
continuum states or vice versa. Finally, we use the equation of motion for the
density matrix to numerically compute the pumped current for any value of the
amplitude and frequency. The numerical results confirm the unusual effect of a
bound state.


title:
How really effective are Multimodal Hints in enhancing Visual Target
  Spotting? Some evidence from a usability study

abstract:
  The main aim of the work presented here is to contribute to computer science
advances in the multimodal usability area, in-as-much as it addresses one of
the major issues relating to the generation of effective oral system messages:
how to design messages which effectively help users to locate specific
graphical objects in information visualisations? An experimental study was
carried out to determine whether oral messages including coarse information on
the locations of graphical objects on the current display may facilitate target
detection tasks sufficiently for making it worth while to integrate such
messages in GUIs. The display spatial layout varied in order to test the
influence of visual presentation structure on the contribution of these
messages to facilitating visual search on crowded displays. Finally, three
levels of task difficulty were defined, based mainly on the target visual
complexity and the number of distractors in the scene. The findings suggest
that spatial information messages improve participants' visual search
performances significantly; they are more appropriate to radial structures than
to matrix, random and elleptic structures; and, they are particularly useful
for performing difficult visual search tasks.


title: Canonical Hilbert-Burch matrices for ideals of $k[x,y]$

abstract:
  An Artinian ideal $I$ of $k[x,y]$ has many Hilbert-Burch matrices. We show
that there is a canonical choice. As an application, we determine the dimension
of certain affine Gr\"obner cells and their Betti strata recovering results of
Ellingsrud and Str{\o}mme, G\"ottsche and Iarrobino.


title: An Equilibrium Balance of the Universe

abstract:
  An alternative cosmological model is presented, which avoids the requirement
of dark energy and dark matter. Based on the proposition that energy
conservation should be valid not only locally but also globally, the energy
tensor of general relativity has to be corrected, including potential energy of
matter explicitly. This leads to the consequence that a homogeneous universe
must be static, as potential energy acts as a field with negative pressure. In
this static universe cosmological red shift can be understood as energy loss by
gravitational radiation. There exists a continuous matter cycle, beginning from
hot intergalactic plasma, which is replenished by the jets of quasars, the
formation of large web-like structures, the formation of galaxies and stars, to
the final collapse into quasars again. The model is confirmed qualitatively by
the observed size distribution of cosmic structures. Quantitative confirmation
is obtained from the diffuse x-ray background and from observations of
supernovas. As the total energy content of the universe (trace of the energy
tensor) is zero in this model, creation ex nihilo is possible, but requires
changes of our elementary particle models. An idea of a modified model is
presented.


title: Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps

abstract:
  We prove the existence of continuous boundary extensions (Cannon-Thurston
maps) for the inclusion of a vertex space into a tree of (strongly) relatively
hyperbolic spaces satisfying the qi-embedded condition. This implies the same
result for inclusion of vertex (or edge) subgroups in finite graphs of
(strongly) relatively hyperbolic groups. This generalises a result of Bowditch
for punctured surfaces in 3 manifolds and a result of Mitra for trees of
hyperbolic metric spaces.


title:
The Nature of the Gould Belt from a Fractal Analysis of its Stellar
  Population

abstract:
  The Gould Belt (GB) is a system of gas and young, bright stars distributed
along a plane that is inclined with respect to the main plane of the Milky Way.
Observational evidence suggests that the GB is our closest star formation
complex, but its true nature and origin remain rather controversial. In this
work we analyze the fractal structure of the stellar component of the GB. In
order to do this, we tailor and apply an algorithm that estimates the fractal
dimension in a precise and accurate way, avoiding both boundary and small data
set problems. We find that early OB stars (of spectral types earlier than B4)
in the GB have a fractal dimension very similar to that of the gas clouds in
our Galaxy. On the contrary, stars in the GB of later spectral types show a
larger fractal dimension, similar to that found for OB stars of both age groups
in the local Galactic disk (LGD). This result seems to indicate that while the
younger OB stars in the GB preserve the memory of the spatial structure of the
cloud where they were born, older stars are distributed following a similar
morphology as that found for the LGD stars. The possible causes for these
differences are discussed.


title:
Ambient Multimodality: an Asset for Developing Universal Access to the
  Information Society

abstract:
  The paper tries to point out the benefits that can be derived from research
advances in the implementation of concepts such as ambient intelligence (AmI)
and ubiquitous or pervasive computing for promoting Universal Access (UA) to
the Information Society, that is, for contributing to enable everybody,
especially Physically Disabled (PD) people, to have easy access to all
computing resources and information services that the coming worldwide
Information Society will soon make available to the general public. Following
definitions of basic concepts relating to multimodal interaction, the
significant contribution of multimodality to developing UA is briefly argued.
Then, a short state of the art in AmI research is presented. In the last
section we bring out the potential contribution of advances in AmI research and
technology to the improvement of computer access for PD people. This claim is
supported by the following observations: (i) most projects aiming at
implementing AmI focus on the design of new interaction modalities and flexible
multimodal user interfaces which may facilitate PD users' computer access ;
(ii) targeted applications will support users in a wide range of daily
activities which will be performed simultaneously with supporting computing
tasks; therefore, users will be placed in contexts where they will be
confronted with similar difficulties to those encountered by PD users; (iii)
AmI applications being intended for the general public, a wide range of new
interaction devices and flexible processing software will be available, making
it possible to provide PD users with human-computer facilities tailored to
their specific needs at reasonable expense..


title: Hyper-atoms and the Kemperman's critical pair Theory

abstract:
  In the present work, we introduce the notion of a hyper-atom and prove their
main structure theorem. We then apply the global isoperimetric methodology to
give a new proof for
  Kemperman's structure Theory and a slight improvement.


title: HORPO with Computability Closure : A Reconstruction

abstract:
  This paper provides a new, decidable definition of the higher- order
recursive path ordering in which type comparisons are made only when needed,
therefore eliminating the need for the computability clo- sure, and bound
variables are handled explicitly, making it possible to handle recursors for
arbitrary strictly positive inductive types.


title:
Defining Relations of Low Degree of Invariants of Two $4 \times 4$
  Matrices

abstract:
  Over a field K of characteristic 0, we study the algebra of invariants of the
general linear group GL(4,K) acting by simultaneous conjugation on two matrices
of order 4. It coincides with the trace algebra generated by all traces of
products of two generic matrices of order 4. It is known that the minimal
degree of the defining relations of any homogeneous minimal generating set of
this algebra is equal to 12. Starting with the generating set given recently by
Drensky and Sadikova, we have determined all relations of degree < 15. For this
purpose we have developed further algorithms based on representation theory of
the general linear group and easy computer calculations with standard functions
of Maple.


title:
Globular realization and cubical underlying homotopy type of time flow
  of process algebra

abstract:
  We construct a small realization as flow of every precubical set (modeling
for example a process algebra). The realization is small in the sense that the
construction does not make use of any cofibrant replacement functor and of any
transfinite construction. In particular, if the precubical set is finite, then
the corresponding flow has a finite globular decomposition. Two applications
are given. The first one presents a realization functor from precubical sets to
globular complexes which is characterized up to a natural S-homotopy. The
second one proves that, for such flows, the underlying homotopy type is
naturally isomorphic to the homotopy type of the standard cubical complex
associated with the precubical set.


title: Critical conductance of the chiral 2d random flux model

abstract:
  The two-terminal conductance of a random flux model defined on a square
lattice is investigated numerically at the band center using a transfer matrix
method. Due to the chiral symmetry, there exists a critical point where the
ensemble averaged mean conductance is scale independent. We also study the
conductance distribution function which depends on the boundary conditions and
on the number of lattice sites being even or odd. We derive a critical exponent
$\nu=0.42\pm 0.05$ for square samples of even width using one-parameter scaling
of the conductance. This result could not be obtained previously from the
divergence of the localization length in quasi-one-dimensional systems due to
pronounced finite-size effects.


title:
Calculations of $^{6}$He+p elastic scattering cross sections using
  folding approach and high-energy approximation for the optical potential

abstract:
  Calculations of microscopic optical potentials (OP's) (their real and
imaginary parts) are performed to analyze the $^6$He+p elastic scattering data
at a few tens of MeV/nucleon (MeV/N). The OP's and the cross sections are
calculated using three model densities of $^6$He. Effects of the regularization
of the NN forces and their dependence on nuclear density are investigated.
Also, the role of the spin-orbit terms and of the non-linearity in the
calculations of the OP's, as well as effects of their renormalization are
studied. The sensitivity of the cross sections to the nuclear densities was
tested and one of them that gives a better agreement with the data was chosen.


title: Fixed points of smooth varieties with Kodaira dimension zero

abstract:
  In this paper, we study the growth of the number of fixed points from
iterating an endomorphism of an abelian variety. Using the estimates obtained
on an abelian variety, we are able to extend the results to endomorphisms on
varieties of Kodaira dimension zero and more generally their periodic
subvarieties.


title:
Electron-phonon coupling in a two-dimensional inhomogeneous electron
  gas: consequences for surface spectral properties

abstract:
  We investigate the coupling of an inhomogeneous electron system to phonons.
The properties of an electronic system composed of a mixture of microscopic
ordered and disordered islands are changed fundamentally by a phonon mode. In
high-Tc cuprates, such a phase separation scenario is supported by recent STM
and nuclear quadrupole resonance studies. We show that even a weak or moderate
electron-phonon coupling can be sufficient to produce dramatic changes in the
electronic state of the inhomogeneous electron gas. The spectral properties
calculated in our approach provide a natural explanation of the low-energy
nodal ARPES features and exhibit a novel non-Fermi-liquid state stabilized
through electron-phonon coupling.


title:
A First Principles Theory of Nuclear Magnetic Resonance J-Coupling in
  solid-state systems

abstract:
  A method to calculate NMR J-coupling constants from first principles in
extended systems is presented. It is based on density functional theory and is
formulated within a planewave-pseudopotential framework. The all-electron
properties are recovered using the projector augmented wave approach. The
method is validated by comparison with existing quantum chemical calculations
of solution-state systems and with experimental data. The approach has been
applied to verify measured J-coupling in a silicophosphate structure,
Si5O(PO4)6


title: Torus knots are Fourier-(1,1,2) knots

abstract:
  Every torus knot can be represented as a Fourier-(1,1,2) knot which is the
simplest possible Fourier representation for such a knot. This answers a
question of Kauffman and confirms the conjecture made by Boocher, Daigle, Hoste
and Zheng.
  In particular, the torus knot T(p,q) can be parameterized as x(t)=cos(pt),
y(t)=cos(qt+pi/(2p)), and z(t)=cos(pt+pi/2)\cos((q-p)t+pi/(2p)-pi/(4q)).


title: Non commutative functional calculus: bounded operators

abstract:
  In this paper we develop a functional calculus for bounded operators defined
on quaternionic Banach spaces. This calculus is based on the notion of
slice-regularity, see \cite{gs}, and the key tools are a new resolvent operator
and a new eigenvalue problem.


title: Non commutative functional calculus: unbounded operators

abstract:
  In a recent work, \cite{cgss}, we developed a functional calculus for bounded
operators defined on quaternionic Banach spaces. In this paper we show how the
results from \cite{cgss} can be extended to the unbounded case, and we
highlight the crucial differences between the two cases. In particular, we
deduce a new eigenvalue equation, suitable for the construction of a functional
calculus for operators whose spectrum is not necessarily real.


title: A hidden solution to the mu/B_mu problem in gauge mediation

abstract:
  We propose a solution to the mu/B_mu problem in gauge mediation. The novel
feature of our solution is that it uses dynamics of the hidden sector, which is
often present in models with dynamical supersymmetry breaking. We give an
explicit example model of gauge mediation where a very simple messenger sector
generates both mu and B_mu at one loop. The usual problem, that B_mu is then
too large, is solved by strong renormalization effects from the hidden sector
which suppress B_mu relative to mu. Our mechanism relies on an assumption about
the signs of certain incalculable anomalous dimensions in the hidden sector.
Making these assumptions not only allows us to solve the mu/B_mu problem but
also leads to a characteristic superpartner spectrum which would be a smoking
gun signal for our mechanism.


title: A new functional calculus for non-commuting operators

abstract:
  In this paper we use the notion of slice monogenic functions \cite{slicecss}
to define a new functional calculus for an $n$-tuple $T$ of not necessarily
commuting operators. This calculus is different from the one discussed in
\cite{jefferies} and it allows the explicit construction of the eigenvalue
equation for the $n$-tuple $T$ based on a new notion of spectrum for $T$. Our
functional calculus is consistent with the Riesz-Dunford calculus in the case
of a single operator.


title: Slice monogenic functions

abstract:
  In this paper we offer a definition of monogenicity for functions defined on
$\rr^{n+1}$ with values in the Clifford algebra $\rr_n$ following an idea
inspired by the recent papers \cite{gs}, \cite{advances}. This new class of
monogenic functions contains the polynomials (and, more in general, power
series) with coefficients in the Clifford algebra $\rr_n$. We will prove a
Cauchy integral formula as well as some of its consequences. Finally, we deal
with the zeroes of some polynomials and power series.


title:
Chemical analysis and aqueous solution properties of Charged Amphiphilic
  Block Copolymers PBA-b-PAA synthesized by MADIX

abstract:
  We have linked the structural and dynamic properties in aqueous solution of
amphiphilic charged diblock copolymers poly(butyl acrylate)-b-poly(acrylic
acid), PBA-b-PAA, synthesized by controlled radical polymerization, with the
physico-chemical characteristics of the samples. Despite product imperfections,
the samples self-assemble in melt and aqueous solutions as predicted by
monodisperse microphase separation theory. However, the PBA core are abnormally
large; the swelling of PBA cores is not due to AA (the Flory parameter
chiPBA/PAA, determined at 0.25, means strong segregation), but to h-PBA
homopolymers (content determined by Liquid Chromatography at the Point of
Exclusion and Adsorption Transition LC-PEAT). Beside the dominant population of
micelles detected by scattering experiments, capillary electrophoresis CE
analysis permitted detection of two other populations, one of h-PAA, and the
other of free PBA-b-PAA chains, that have very short PBA blocks and never
self-assemble. Despite the presence of these free unimers, the self-assembly in
solution was found out of equilibrium: the aggregation state is history
dependant and no unimer exchange between micelles occurs over months
(time-evolution SANS). The high PBA/water interfacial tension, measured at 20
mN/m, prohibits unimer exchange between micelles. PBA-b-PAA solution systems
are neither at thermal equilibrium nor completely frozen systems: internal
fractionation of individual aggregates can occur.


title:
Equilibrium Configurations of Strongly Magnetized Neutron Stars with
  Realistic Equations of State

abstract:
  We investigate equilibrium sequences of magnetized rotating stars with four
kinds of realistic equations of state (EOSs) of SLy (Douchin et al.), FPS
(Pandharipande et al.), Shen (Shen et al.), and LS (Lattimer & Swesty).
Employing the Tomimura-Eriguchi scheme to construct the equilibrium
configurations. we study the basic physical properties of the sequences in the
framework of Newton gravity. In addition we newly take into account a general
relativistic effect to the magnetized rotating configurations. With these
computations, we find that the properties of the Newtonian magnetized stars,
e.g., structure of magnetic field, highly depends on the EOSs.
  The toroidal magnetic fields concentrate rather near the surface for Shen and
LS EOSs than those for SLy and FPS EOSs. The poloidal fields are also affected
by the toroidal configurations. Paying attention to the stiffness of the EOSs,
we analyze this tendency in detail. In the general relativistic stars, we find
that the difference due to the EOSs becomes small because all the employed EOSs
become sufficiently stiff for the large maximum density, typically greater than
$10^{15}\rm{g} \rm{cm}^{-3}$. The maximum baryon mass of the magnetized stars
with axis ratio $q\sim 0.7$ increases about up to twenty percents for that of
spherical stars. We furthermore compute equilibrium sequences at finite
temperature, which should serve as an initial condition for the hydrodynamic
study of newly-born magnetars. Our results suggest that we may obtain
information about the EOSs from the observation of the masses of magnetars.


title: Variations on Homological Reduction

abstract:
  In this paper, we are concerned with the BFV-reduction of first class
constraints in classsical Hamiltonian mechanics and deformation quantization.
As a result, we obtain continuous star products for certain singular reduced
symplectic quotients. We relate the notion of "irreducibility" of a constraint
to the notion of complete intersection used in commutative algebra. We
generalize the classical BFV construction to the case of projective Tate
generators using a super-Poisson bracket discovered by M. Rothstein. We also
discuss the problem of infinite reducibility. Several examples are elaborated
on.


title:
Enzyme localization can drastically affect signal amplification in
  signal transduction pathways

abstract:
  Push-pull networks are ubiquitous in signal transduction pathways in both
prokaryotic and eukaryotic cells. They allow cells to strongly amplify signals
via the mechanism of zero-order ultrasensitivity. In a push-pull network, two
antagonistic enzymes control the activity of a protein by covalent
modification. These enzymes are often uniformly distributed in the cytoplasm.
They can, however, also be colocalized in space, for instance, near the pole of
the cell. Moreover, it is increasingly recognized that these enzymes can also
be spatially separated, leading to gradients of the active form of the
messenger protein. Here, we investigate the consequences of the spatial
distributions of the enzymes for the amplification properties of push-pull
networks. Our calculations reveal that enzyme localization by itself can have a
dramatic effect on the gain. The gain is maximized when the two enzymes are
either uniformly distributed or colocalized in one region in the cell.
Depending on the diffusion constants, however, the sharpness of the response
can be strongly reduced when the enzymes are spatially separated. We discuss
how our predictions could be tested experimentally.


title: Supersymmetric Candidates for Dark Matter (in German)

abstract:
  The identity of dark matter is one of the greatest puzzles of our Universe.
Its solution may be associated with supersymmetry which is a fundamental
space-time symmetry that has not been verified experimentally so far. In many
supersymmetric extensions of the Standard Model of particle physics, the
lightest supersymmetric particle cannot decay and is hence a promising dark
matter candidate. The lightest neutralino, which appears already in the minimal
supersymmetric model, can be identified as such a candidate in indirect and
direct dark matter searches and at future colliders. As the superpartner of the
graviton, the gravitino is another candidate for the lightest superparticle
that provides a compelling explanation of dark matter. While it will neither be
detected in indirect or direct searches nor be produced directly at
accelerators, the analysis of late-decaying charged particles can allow for an
experimental identification of the gravitino at future accelerators. In this
way, the upcoming experiments at the CERN Large Hadron Collider may become a
key to the understanding of our Universe.


title: A correlated topic model of Science

abstract:
  Topic models, such as latent Dirichlet allocation (LDA), can be useful tools
for the statistical analysis of document collections and other discrete data.
The LDA model assumes that the words of each document arise from a mixture of
topics, each of which is a distribution over the vocabulary. A limitation of
LDA is the inability to model topic correlation even though, for example, a
document about genetics is more likely to also be about disease than X-ray
astronomy. This limitation stems from the use of the Dirichlet distribution to
model the variability among the topic proportions. In this paper we develop the
correlated topic model (CTM), where the topic proportions exhibit correlation
via the logistic normal distribution [J. Roy. Statist. Soc. Ser. B 44 (1982)
139--177]. We derive a fast variational inference algorithm for approximate
posterior inference in this model, which is complicated by the fact that the
logistic normal is not conjugate to the multinomial. We apply the CTM to the
articles from Science published from 1990--1999, a data set that comprises 57M
words. The CTM gives a better fit of the data than LDA, and we demonstrate its
use as an exploratory tool of large document collections.


title:
Strain-driven elastic and orbital-ordering effects on
  thickness-dependent properties of manganite thin films

abstract:
  We report on the structural and magnetic characterization of (110) and (001)
La2/3Ca1/3MnO3 (LCMO) epitaxial thin films simultaneously grown on (110) and
(001)SrTiO3 substrates, with thicknesses t varying between 8 nm and 150 nm. It
is found that while the in-plane interplanar distances of the (001) films are
strongly clamped to those of the substrate and the films remain strained up to
well above t=100 nm, the (110) films relax much earlier. Accurate determination
of the in-plane and out-of-plane interplanar distances has allowed concluding
that in all cases the unit cell volume of the manganite reduces gradually when
increasing thickness, approaching the bulk value. It is observed that the
magnetic properties (Curie temperature and saturation magnetization) of the
(110) films are significantly improved compared to those of (001) films. These
observations, combined with 55Mn-nuclear magnetic resonance data and X-ray
photoemission spectroscopy, signal that the depression of the magnetic
properties of the more strained (001)LCMO films is not caused by an elastic
deformation of the perovskite lattice but rather due to the electronic and
chemical phase separation caused by the substrate-induced strain. On the
contrary, the thickness dependence of the magnetic properties of the less
strained (110)LCMO films are simply described by the elastic deformation of the
manganite lattice. We will argue that the different behavior of (001) and
(110)LCMO films is a consequence of the dissimilar electronic structure of
these interfaces.


title: Chiral symmetry breaking and the Lorentz nature of confinement

abstract:
  We address the question of the Lorentz nature of the effective interquark
interaction in QCD which leads to the formation of the QCD string between
colour charges. In particular, we start from a manifestly vectorial fundamental
interaction mediated by gluons and demonstrate that, as soon as chiral symmetry
is broken spontaneously, the effective interquark interaction acquires a
selfconsistently generated scalar part which is eventually responsible for the
formation of the QCD string. We demonstrate this explicitly for a heavy-light
quarkonium, using the approach of the Schwinger-Dyson-type equation and the
quantum-mechanical Hamiltonian method of the QCD string with quarks at the
ends.


title: Looking for the Kondo cloud

abstract:
  We study the spatial distribution of the Kondo screening cloud. We find that
in 3 D the spatial range of the cloud is limited to distances of the order of
the Fermi wavelength due to angular dispersion effects. In lower dimensions
this effect is less important and thus the Kondo length determines the
localization of the cloud around the magnetic impurity. We clarify the role of
the Kondo cloud in the impurity-impurity interactions: the hole coherence
factor of the Kondo-doublet interaction is proportional to the amplitude of the
Kondo cloud. We single out an experimental setup in which the Kondo cloud could
be directly measured.


title: Cosmological simulations using a static scalar-tensor theory

abstract:
  We present $\Lambda$CDM $N$-body cosmological simulations in the framework of
a static general scalar-tensor theory of gravity. Due to the influence of the
non-minimally coupled scalar field, the gravitational potential is modified by
a Yukawa type term, yielding a new structure formation dynamics. We present
some preliminary results and, in particular, we compute the density and
velocity profiles of the most massive group.


title:
Variable Cosmological Constant model: the reconstruction equations and
  constraints from current observational data

abstract:
  In this paper we first give a brief review of the variable cosmological
constant model and its scalar field description. We mainly discuss two types of
variable cosmological constant models: $a$ power law and $H$ power law models.
A method to obtain all of the equivalent scalar field potentials and the
effective equation of state of the two models is presented. In addition, the
dynamics of such scalar field potentials and effective equation of state are
discussed in detail. The parameters of the two models are constrained by
current 307 high-quality "Union" SN Ia data set, baryon acoustic oscillation
(BAO) measurement from the Sloan Digital Sky Survey (SDSS), 9 observational
\textrm{H(z)} data derived from the Gemini Deep Deep Survey (GDDS) and the
shift parameter of the cosmic microwave background (CMB) given by the
three-year Wilkinson Microwave Anisotropy Probe (\textrm{WMAP}) observations.
We also calculate and draw the picture of the Hubble parameter, the
deceleration parameter and the matter density of the two models. Then, we show
that the indices $m$ and $n$ in the two models have specific meaning in
determining properties of the models. Moreover, The reasons that indices $m$
and $n$ may also influence the behavior of effective equation of state and
scalar field potentials are presented.


title: Parametric stiffness analysis of the Orthoglide

abstract:
  This paper presents a parametric stiffness analysis of the Orthoglide. A
compliant modeling and a symbolic expression of the stiffness matrix are
conducted. This allows a simple systematic analysis of the influence of the
geometric design parameters and to quickly identify the critical link
parameters. Our symbolic model is used to display the stiffest areas of the
workspace for a specific machining task. Our approach can be applied to any
parallel manipulator for which stiffness is a critical issue.


title: Continuous functions taking every value a given number of times

abstract:
  We give necessary and sufficient conditions on a function $f:[0,1]\to
{0,1,2,...,\omega,\continuum}$ under which there exists a continuous function
$F:[0,1]\to [0,1]$ such that for every $y\in[0,1]$ we have $|F^{-1}(y)|=f(y)$.


title: Thompson's Group F

abstract:
  We introduce forest diagrams and strand diagrams for elements of Thompson's
group F. A forest diagram is a pair of infinite, bounded binary forests
together with an order-preserving bijection of the leaves. Using forest
diagrams, we derive a simple length formula for elements of F, and we discuss
applications to the geometry of the Cayley graph, including a new upper bound
on the isoperimetric constant (a.k.a. Cheeger constant) of F. Strand diagrams
are similar to tree diagrams, but they can be concatenated like braids.
Motivated by the fact that configuration spaces are classifying spaces for
braid groups, we present a classifying space for F that is the ``configuration
space'' of finitely many points on a line, with the points allowed to split and
merge in pairs. Strand diagrams are related to a description of F as a
groupoid, which we use to derive presentations for F, T, V, and the braided
Thompson group BV.
  In addition to the new results, we include a thorough exposition of the basic
theory of the group F. Highlights include a simplified proof that the
commutator subgroup of F is simple, a discussion of open problems (with a focus
on amenability), and a simplified derivation of the standard presentation and
normal forms for F using forest diagrams.


title: Heavy-heavy-light quark potential in SU(3) lattice QCD

abstract:
  We perform the first study for the heavy-heavy-light quark (QQq) potential in
SU(3) lattice QCD. The calculations are done with the standard gauge and
$O(a)$-improved Wilson fermion action on the $16^4$ lattice at $\beta =6.0$ at
the quenched level. We calculate the energy of QQq systems as the function of
the distance between the two heavy quarks, and find that the QQq potential is
well described with a Coulomb plus linear potential form. Compared to the
static three-quark case, the Coulomb term does not change but the effective
string tension between the heavy quarks is significantly reduced by the
light-quark effect. We also investigate the light-quark mass dependence of the
QQq potential using the four hopping parameters, $\kappa
=0.1200,0.1300,0.1340$, and 0.1380. The reduction of the effective string
tension is considered to be a general property for baryons and multi-quark
hadrons.


title:
Structural and dynamical characteristics of mesoscopic H$^+$[H$_2$O]$_n$
  clusters

abstract:
  Structural and dynamical characteristics pertaining to the solvation of an
excess proton in liquid-like nanoclusters of the type [H$_2$O]$_n$ are
investigated using Molecular Dynamics experiments. Three different aggregate
sizes were analyzed: $n=10,$ 21 and 125. The simulation experiments were
performed using a multistate empirical valence bond Hamiltonian model. While in
the smallest aggregates the proton occupies a central position, the stable
solvation environments for $n=21$ and 125 are located at the cluster
boundaries. In all cases, the structure of the closest solvation shell of the
excess charge remains practically unchanged and coincides with that observed in
bulk water. Compared to results obtained in bulk, the computed rates for proton
transfer in clusters are between one and two orders of magnitude slower, and
tend to increase for larger cluster sizes.


title: CP Asymmetries in Higgs decays to ZZ at the LHC

abstract:
  We examine the effect of a general HZZ coupling through a study of the Higgs
decay to leptons via Z bosons at the LHC. We discuss various methods for
placing limits on additional couplings, including measurement of the partial
width, threshold scans, and asymmetries constructed from angular observables.
We find that only the asymmetries provide a definitive test of additional
couplings. We further estimate the significances they provide.


title:
Kinematics and Workspace Analysis of a Three-Axis Parallel Manipulator:
  the Orthoglide

abstract:
  The paper addresses kinematic and geometrical aspects of the Orthoglide, a
three-DOF parallel mechanism. This machine consists of three fixed linear
joints, which are mounted orthogonally, three identical legs and a mobile
platform, which moves in the Cartesian x-y-z space with fixed orientation. New
solutions to solve inverse/direct kinematics are proposed and we perform a
detailed workspace and singularity analysis, taking into account specific joint
limit constraints.


title:
Correlated $\Lambda d$ pairs from the $K^{-}_{stop} A \to \Lambda d A'$
  reaction

abstract:
  Correlated $\Lambda d$ pairs emitted after the absorption of negative kaons
at rest $K^{-}_{stop}A\to \Lambda d A'$ in light nuclei $^6Li$ and $^{12}C$ are
studied. $\Lambda$-hyperons and deuterons are found to be preferentially
emitted in opposite directions. The $\Lambda d$ invariant mass spectrum of
$^6Li$ shows a bump whose mass is 3251$\pm$6 MeV/c$^2$. The bump mass (binding
energy), width and yield are reported. The appearance of a bump is discussed in
the realm of the [$\bar{K}3N$] clustering process in nuclei. The experiment was
performed with the FINUDA spectrometer at DA$\Phi$NE (LNF).


title:
Relativistic iron emission lines in neutron star low-mass X-ray binaries
  as probes of neutron star radii

abstract:
  Using Suzaku observations of three neutron star low-mass X-ray binaries (Ser
X-1, 4U 1820-30 and GX 349+2) we have found broad, asymmetric, relativistic Fe
K emission lines in all three objects. These Fe K lines can be well fit by a
model for lines from a relativistic accretion disk ('diskline'), allowing a
measurement of the inner radius of the accretion disk, and hence an upper limit
on the neutron star radius. These upper limits correspond to 14.5 - 16.5 km for
a 1.4 M(solar) neutron star. The inner disk radii we measure with Fe K lines
are in good agreement with the inner disk radii implied by kHz QPOs observed in
both 4U 1820-30 and GX 349+2, supporting the inner disk nature of kHz QPOs.
Additionally, the Fe K lines observed in these neutron stars are narrower than
those in the black holes that are thought to be close to maximally spinning, as
one would expect if inferences for spin are robust.


title: Hydrodynamic simulations of irradiated secondaries in dwarf novae

abstract:
  We investigate numerically the surface flow on the secondary star during
outbursts. We use a simple model for the irradiation and the geometry of the
secondary star: the irradiation temperature is treated as a free parameter and
the secondary is replaced by a spherical star with a space-dependent Coriolis
force that mimics the effect of the Roche geometry. The Euler equations are
solved in spherical coordinates with the TVD-MacCormack scheme. We show that
the Coriolis force leads to the formation of a circulation flow from high
latitude region to the close vicinity of the $L_1$ point. However no heat can
be efficiently transported to the $L_1$ region due to the rapid radiative
cooling of the hot material as it enters the equatorial belt shadowed from
irradiation. Under the assumption of hydrostatic equilibrium, the Coriolis
force could lead to a moderate increase of the mass transfer rate by pushing
the gas in the vertical direction at the $L_1$ point, but only during the
initial phases of the outburst (about 15 -- 20 orbital periods). We conclude
that the Coriolis force does not prevent a flow from the heated regions of the
secondary towards the $L_1$ region, at least during the initial phase of an
outburst, but the resulting increase of the mass transfer rate is moderate, and
it is unlikely to be able to account for the duration of long outbursts.


title:
Spin relaxation in the impurity band of a semiconductor in the external
  magnetic field

abstract:
  Spin relaxation in the impurity band of a 2D semiconductor with spin-split
spectrum in the external magnetic field is considered. Several mechanisms of
spin relaxation are shown to be relevant. The first one is attributed to
phonon-assisted transitions between Zeeman sublevels of the ground state of an
isolated impurity, while other mechanisms can be described in terms of spin
precession in a random magnetic field during the electron motion over the
impurity band. In the later case there are two contributions to the spin
relaxation: the one given by optimal impurity configurations with the
hop-waiting time inversely proportional to the external magnetic field and
another one related to the electron motion on a large scale. The average spin
relaxation rate is calculated.


title: Diffusive-Ballistic Crossover and the Persistent Spin Helix

abstract:
  Conventional transport theory focuses on either the diffusive or ballistic
regimes and neglects the crossover region between the two. In the presence of
spin-orbit coupling, the transport equations are known only in the diffusive
regime, where the spin precession angle is small. In this paper, we develop a
semiclassical theory of transport valid throughout the diffusive - ballistic
crossover of a special SU(2) symmetric spin-orbit coupled system. The theory is
also valid in the physically interesting regime where the spin precession angle
is large. We obtain exact expressions for the density and spin structure
factors in both 2 and 3 dimensional samples with spin-orbit coupling.


title:
Explicit Evaluation of Certain Exponential Sums of Quadratic Functions
  over $\Bbb F_{p^n}$, $p$ Odd

abstract:
  Let $p$ be an odd prime and let
$f(x)=\sum_{i=1}^ka_ix^{p^{\alpha_i}+1}\in\Bbb F_{p^n}[x]$, where $0\le
\alpha_1<...<\alpha_k$. We consider the exponential sum $S(f,n)=\sum_{x\in\Bbb
F_{p^n}}e_n(f(x))$, where $e_n(y)=e^{2\pi i\text{Tr}_n(y)/p}$, $y\in\Bbb
F_{p^n}$, $\text{Tr}_n=\text{Tr}_{\Bbb F_{p^n}/\Bbb F_p}$. There is an
effective way to compute the nullity of the quadratic form
$\text{Tr}_{mn}(f(x))$ for all integer $m>0$. Assuming that all such nullities
are known, we find relative formulas for $S(f,mn)$ in terms of $S(f,n)$ when
$\nu_p(m) \le \min\{\nu_p(\alpha_i):1\le i\le k\}$, where $\nu_p$ is the
$p$-adic order. We also find an explicit formula for $S(f,n)$ when
$\nu_2(\alpha_1)=...= \nu_2(\alpha_k)<\nu_2(n)$. These results generalize those
by Carlitz and by Baumert and McEliece. Parallel results with $p=2$ were
obtained in a previous paper by the second author.


title: Heavy Ion Collisions and New Forms of Matter

abstract:
  I discuss forms of high energy density matter in QCD. These include the Color
Glass Condensate, the Glasma and the Quark Gluon Plasma. They all might be
studied in ultra-relativistic heavy ion collisions, nd the Color Glass
Condensate might also be probed in electron-hadron collisions. I present the
properties of such matter and some aspects of what is known of their
properties.


title: The $\mathcal{Q}_p$ Carleson Measure Problem

abstract:
  Let $\mu$ be a nonnegative Borel measure on the open unit disk
$\mathbb{D}\subset\mathbb{C}$. This note shows how to decide that the M\"obius
invariant space $\mathcal{Q}_p$, covering $\mathcal{BMOA}$ and $\mathcal{B}$,
is boundedly (resp., compactly) embedded in the quadratic tent-type space
$T^\infty_p(\mu)$. Interestingly, the embedding result can be used to determine
the boundedness (resp., the compactness) of the Volterra-type and
multiplication operators on $\mathcal{Q}_p$.


title: On cosmological observables in a swiss-cheese universe

abstract:
  Photon geodesics are calculated in a swiss-cheese model, where the cheese is
made of the usual Friedmann-Robertson-Walker solution and the holes are
constructed from a Lemaitre-Tolman-Bondi solution of Einstein's equations. The
observables on which we focus are the changes in the redshift, in the
angular-diameter--distance relation, in the luminosity-distance--redshift
relation, and in the corresponding distance modulus. We find that redshift
effects are suppressed when the hole is small because of a compensation effect
acting on the scale of half a hole resulting from the special case of spherical
symmetry. However, we find interesting effects in the calculation of the
angular distance: strong evolution of the inhomogeneities (as in the approach
to caustic formation) causes the photon path to deviate from that of the FRW
case. Therefore, the inhomogeneities are able to partly mimic the effects of a
dark-energy component. Our results also suggest that the nonlinear effects of
caustic formation in cold dark matter models may lead to interesting effects on
photon trajectories.


title: Derangements and Relative Derangements of Type $B$

abstract:
  By introducing the notion of relative derangements of type $B$, also called
signed relative derangements, which are defined in terms of signed
permutations, we obtain a type $B$ analogue of the well-known relation between
relative derangements and the classical derangements. While this fact can be
proved by using the principle of inclusion and exclusion, we present a
combinatorial interpretation with the aid of the intermediate structure of
signed skew derangements.


title: Collapse models with non-white noises

abstract:
  We set up a general formalism for models of spontaneous wave function
collapse with dynamics represented by a stochastic differential equation driven
by general Gaussian noises, not necessarily white in time. In particular, we
show that the non-Schrodinger terms of the equation induce the collapse of the
wave function to one of the common eigenstates of the collapsing operators, and
that the collapse occurs with the correct quantum probabilities. We also
develop a perturbation expansion of the solution of the equation with respect
to the parameter which sets the strength of the collapse process; such an
approximation allows one to compute the leading order terms for the deviations
of the predictions of collapse models with respect to those of standard quantum
mechanics. This analysis shows that to leading order, the ``imaginary'' noise
trick can be used for non-white Gaussian noise.


title: Spin matrix elements in 2D Ising model on the finite lattice

abstract:
  We present explicit formulas for all spin matrix elements in the 2D Ising
model with the nearest neighbor interaction on the finite periodic square
lattice. These expressions generalize the known results [Phys. Rev. D19,
(1979), 2477--2479; hep-th/0107117; hep-th/0112167] (coincide with them in the
appropriate limits) and fulfill the test of straightforward transfer matrix
calculations for finite $N$.

categories: nlin.SI cond-mat.stat-mech hep-th math-ph math.MP


title:
Total cross-section and rapidity gap survival probability at the LHC
  through an eikonal with soft gluon resummation

abstract:
  New results are presented for total ${\rm pp}/ {\rm \bar p p}$
cross-sections, in the framework of our QCD based model (GGPS). This is an
improved eikonal mini-jet model, where soft gluon radiation tames the fast
energy rise normally present in mini-jet models. We discuss the variability in
our predictions and provide a handy parametrization of our results for the LHC.
We find that our model predictions span the range $\sigma_{tot}^{LHC}=100
^{+10}_{-13} mb$. While this matches nicely with the range of most other
models, it does not agree with recent ones which include a "hard" Pomeron, even
though our model does include hard scattering. We compute the survival
probability for Large Rapidity Gap (LRG) events at the LHC and at the Tevatron.
These events are relevant, for example, for Higgs signal in the $WW$ fusion
process. We also explore whether measurements of the total cross-sections at
the LHC can help us sharpen the model parameters and hence estimates for these
survival probabilities, further.


title: Optimizing Replica Exchange Moves For Molecular Dynamics

abstract:
  In this short note we sketch the statistical physics framework of the replica
exchange technique when applied to molecular dynamics simulations. In
particular, we draw attention to generalized move sets that allow a variety of
optimizations as well as new applications of the method.

categories: q-bio.QM cond-mat.stat-mech physics.comp-ph q-bio.BM


title: Recursive Structure and Bandwidth of Hales-Numbered Hypercube

abstract:
  The Hales numbered $n$-dimensional hypercube and the corresponding adjacency
matrix exhibit interesting recursive structures in $n$. These structures lead
to a very simple proof of the well-known bandwidth formula for hypercube, whose
proof was thought to be surprisingly difficult. A related problem called
hypercube antibandwidth, for which Harper proposed an algorithm, is also
reexamined in the light of the above recursive structures, and a close form
solution is found.


title: Boundary conditions in the QCD nucleus-nucleus scattering problem

abstract:
  In the framework of the effective field theory for interacting BFKL pomerons,
applied to nucleus-nucleus scattering, boundary conditions for the classical
field equations are discussed. Correspondence with the QCD diagrams at the
boundary rapidities requires pomeron interaction with the participating nuclei
to be exponential and non-local. Commonly used 'eikonal' boundary conditions,
local and linear in fields, follow in the limit of small QCD pomeron-nucleon
coupling. Numerical solution of the classical field equations, which sum all
tree diagrams for central gold-gold scattering, demonstrates that corrected
boundary conditions lead to substantially different results, as compared to the
eikonal conditions studied in earlier publications. A breakdown of
projectile-target symmetry for particular solutions discovered earlier in
  \cite{bom} is found to occur at roughly twice lower rapidity. Most important,
due to a high non-linearity of the problem, the found asymmetric solutions are
not unique but form a family growing in number with rapidity. The minimal value
for the action turns out to be much lower than with the eikonal boundary
conditions and saturates at rapidities around 10.


title: Floating Entanglement Witness Measure and Genetic Algorithm

abstract:
  In this paper based on the notion of entanglement witness, a new measure of
entanglement called floating entanglement witness measure is introduced which
satisfies some of the usual properties of a good entanglement measure. By
exploiting genetic algorithm, we introduce a classical algorithm that computes
floating entanglement witness measure. This algorithm also provides a method
for finding entanglement witness for a given entangled state.


title: Prediction of Fractional Processes with Long-range Dependence

abstract:
  We introduce a class of Gaussian processes with stationary increments which
exhibit long-range dependence. The class includes fractional Brownian motion
with Hurst parameter H>1/2 as a typical example. We establish infinite and
finite past prediction formulas for the processes in which the predictor
coefficients are given explicitly in terms of the MA and AR coefficients.


title:
Akhet Khufu: archaeo-astronomical hints at a common project of the two
  main pyramids of Giza, Egypt

abstract:
  The architectural complexes composed by the two main pyramids of Giza
together with their temples are investigated from an inter-disciplinary point
of view, taking into account their astronomical alignments as well as their
relationships with the visible landscape. Combining already known facts
together with new clues, the work strongly supports the idea that the two
complexes were conceived as parts of a common project.


title: Quantum critical scaling behavior of deconfined spinons

abstract:
  We perform a renormalization group analysis of some important effective field
theoretic models for deconfined spinons. We show that deconfined spinons are
critical for an isotropic SU(N) Heisenberg antiferromagnet, if $N$ is large
enough. We argue that nonperturbatively this result should persist down to N=2
and provide further evidence for the so called deconfined quantum criticality
scenario. Deconfined spinons are also shown to be critical for the case
describing a transition between quantum spin nematic and dimerized phases. On
the other hand, the deconfined quantum criticality scenario is shown to fail
for a class of easy-plane models. For the cases where deconfined quantum
criticality occurs, we calculate the critical exponent $\eta$ for the decay of
the two-spin correlation function to first-order in $\epsilon=4-d$. We also
note the scaling relation $\eta=d+2(1-\phi/\nu)$ connecting the exponent $\eta$
for the decay to the correlation length exponent $\nu$ and the crossover
exponent $\phi$.


title: Time reflection and the dynamics of particles and antiparticles

abstract:
  In this paper we continue our analysis of a formulation of electrodynamics
fully covariant under the full Poincar\'e group. Transformations under the four
different components of the group force on us the introduction of particles,
either in the identification by Feynman or in the identification of Dirac.


title: A Multivariate Training Technique with Event Reweighting

abstract:
  An event reweighting technique incorporated in multivariate training
algorithm has been developed and tested using the Artificial Neural Networks
(ANN) and Boosted Decision Trees (BDT). The event reweighting training are
compared to that of the conventional equal event weighting based on the ANN and
the BDT performance. The comparison is performed in the context of the physics
analysis of the ATLAS experiment at the Large Hadron Collider (LHC), which will
explore the fundamental nature of matter and the basic forces that shape our
universe. We demonstrate that the event reweighting technique provides an
unbiased method of multivariate training for event pattern recognition.


title: Evidences for two scales in hadrons

abstract:
  Some unusual features observed in hadronic collisions at high energies can be
understood assuming that gluons in hadrons are located within small spots
occupying only about 10% of the hadron's area. Such a conjecture about the
presence of two scales in hadrons helps to explain: why diffractive gluon
radiation so much suppressed; why the triple-Pomeron coupling shows no
t-dependence; why total hadronic cross sections rise with energy so slowly; why
diffraction cone shrinks so slowly, and why
$\alpha^\prime_P\ll\alpha^\prime_R$; why the transition from hard to soft
regimes in the structure functions occurs at rather large $Q^2$; why the
observed Cronin effect at collider energies is so weak; why hard reactions
sensitive to primordial parton motion (direct photon, Drell-Yan dileptons,
heavy flavors, back-to-back di-hadrons, seagull effect, etc.) demand such a
large transverse momenta of the projectile partons, which is not explained by
NLO calculations; why the onset of nuclear shadowing for gluons is so much
delayed compared to quarks, and why shadowing is so weak.


title:
Geometry of Two-Qubit State and Intertwining Quaternionic Conformal
  Mapping Under Local Unitary Transformations

abstract:
  In this paper the geometry of two-qubit systems under local unitary group
$SO(2)\otimes SU(2)$ is discussed. It is shown that the quaternionic conformal
map intertwines between this local unitary subgroup of $Sp(2)$ and the
quaternionic M\"{o}bius transformation which is rather a generalization of the
results of Lee et al (2002 Quantum Inf. Process. 1 129).


title: Spin dynamics in a one-dimensional ferromagnetic Bose gas

abstract:
  We investigate the propagation of spin excitations in a one-dimensional (1D)
ferromagnetic Bose gas. While the spectrum of longitudinal spin waves in this
system is sound-like, the dispersion of transverse spin excitations is
quadratic making a direct application of the Luttinger Liquid (LL) theory
impossible. By using a combination of different analytic methods we derive the
large time asymptotic behavior of the spin-spin dynamical correlation function
for strong interparticle repulsion. The result has an unusual structure
associated with a crossover from the regime of trapped spin wave to an open
regime and does not have analogues in known low-energy universality classes of
quantum 1D systems.


title: Bimodality - a Sign of Critical Behavior in Nuclear Reactions

abstract:
  The recently discovered coexistence of multifragmentation and residue
production for the same total transverse energy of light charged particles can
be well reproduced in numerical simulations of the heavy ion reactions. A
detailed analysis shows that fluctuations (introduced by elementary
nucleon-nucleon collisions) determine which of the exit states is realized.
Thus we observe for the first time nonlinear dynamics in heavy ion reactions.
Also the scaling of the coexistence region with beam energy is well reproduced
in these results from the QMD simulation program.


title: Two-integral distribution functions for axisymmetric systems

abstract:
  Some formulae are presented for finding two-integral distribution functions
(DFs) which depends only on the two classical integrals of the energy and the
magnitude of the angular momentum with respect to the axis of symmetry for
stellar systems with known axisymmetric densities. They come from an
combination of the ideas of
  Eddington and Fricke and they are also an extension of those shown by Jiang
and Ossipkov for finding anisotropic DFs for spherical galaxies. The density of
the system is required to be expressed as a sum of products of functions of the
potential and of the radial coordinate. The solution corresponding to this type
of density is in turn a sum of products of functions of the energy and of the
magnitude of the angular momentum about the axis of symmetry. The product of
the density and its radial velocity dispersion can be also expressed as a sum
of products of functions of the potential and of the radial coordinate. It can
be further known that the density multipied by its rotational velocity
dispersion is equal to a sum of products of functions of the potential and of
the radial coordinate minus the product of the density and the square of its
mean rotational velocity. These formulae can be applied to the Binney and the
Lynden-Bell models. An infinity of the odd DFs for the Binney model can be also
found under the assumption of the laws of the rotational velocity.


title: Guerra's interpolation using Derrida-Ruelle cascades

abstract:
  New results about Poisson-Dirichlet point processes and Derrida-Ruelle
cascades allow us to express Guerra's interpolation entirely in the language of
Derrida-Ruelle cascades and to streamline Guerra's computations. Moreover, our
approach clarifies the nature of the error terms along the interpolation.


title: First Run II Measurement of the W Boson Mass

abstract:
  We describe a measurement of the W boson mass mW using 200/pb of root-s =
1.96 TeV p-pbar collision data taken with the CDF II detector. With a sample of
63,964 W -> e nu candidates and 51,128 W -> mu nu candidates, we measure mW =
[80.413 +- 0.034 (stat) +- 0.034 (sys) = 80.413 +- 0.048] GeV/c^2. This is the
single most precise mW measurement to date. When combined with other measured
electroweak parameters, this result further constrains the properties of
unobserved particles coupling to W and Z bosons.


title:
Correlation function of the two-dimensional Ising model on a finite
  lattice. II

abstract:
  We calculate the two-point correlation function and magnetic susceptibility
in the anisotropic 2D Ising model on a lattice with one infinite and the other
finite dimension, along which periodic boundary conditions are imposed. Using
exact expressions for a part of lattice form factors, we propose the formulas
for arbitrary spin matrix elements, thus providing a possibility to compute all
multipoint correlation functions in the anisotropic Ising model on cylindrical
and toroidal lattices. The scaling limit of the corresponding expressions is
also analyzed.


title: Inflation from IIB Superstrings with Fluxes

abstract:
  We study the conditions needed to have an early epoch of inflationary
expansion with a potential coming from IIB superstring theory with fluxes
involving two moduli fields. The phenomenology of this potential is different
from the usual hybrid inflation scenario and we analize the possibility that
the system of field equations undergo a period of inflation in three different
regimes with the dynamics modified by a Randall-Sundrum II term in the
Friedmann equation. We find that the system can produce inflation and due to
the modification of the dynamics, a period of accelerated contraction can
follow or preceed this inflationary stage depending on the sign of one of the
parameters of the potential. We discuss on the viability of this model in a
cosmological context.


title: Why Tau First?

abstract:
  Electron neutrino has been the first neutral lepton to be foreseen and
discovered last century. The un-ordered muon and its neutrino arose later by
cosmic rays. The tau discover, the heaviest, the most unstable charged lepton,
was found surprisingly on 1975. Its neutrino was hardly revealed just on 2000.
So why High Energy Neutrino Astronomy should rise first via tau neutrino, the
last, the most rare one? The reasons are based on a chain of three favorable
coincidences found last decade: the neutrino masses and their flavor mixing,
the UHECR opacity on Cosmic Black Body (GZK cut off on BBR), the amplified tau
air-shower decaying in flight. Indeed guaranteed UHE GZK tau neutrinos, feed by
muon mixing, while skimming the Earth might lead to boosted UHE tau, mostly
horizontal ones. These UHE lepton decay in flight are spread, amplified, noise
free Air-Shower: a huge event for an unique particle. To be observed soon:
within Auger sky, in present decade. Its discover may sign of the first tau
appearance.