title:
Bursts of low-energy electron-positron pairs in TeV-range collider
  physics

abstract:
  In this Letter we investigate the possible emission of low-energy electron
neutrinos and electron-positron pairs of anomalously large multiplicity in
close-to-central $pp$ collisions at LHC. The scenario is based on confining
SU(2) Yang-Mills dynamics of Hagedorn temperature $\sim m_e=511 $keV being
responsible for the emergence of the lightest lepton family and the weak
interactions of the Standard Model. Although cut off by LHC's detectors these
electrons-positron bursts would be seen indirectly by a large defect energy and
thus an anomalously strong decrease of events with interesting high-energy
secondaries for increasing $\sqrt{s}$ . This is because the formation of
superconducting (preconfining) SU(2) hot-spots `steals' a large fraction of
$\sqrt{s}$ subsequently transferring it to a thermal spectrum of electron
neutrinos, electrons, and positrons liberated through evaporation. We thus
propose the detection of electrons and positrons of kinetic energy $\sim m_e$
and photons of energy $\sim 2 m_e$.


title:
Field Dependence of the Ground State in the Exotic Superconductor
  CeCoIn$_5$: a Nuclear Magnetic Resonance Investigation

abstract:
  We report $^{115}$In nuclear magnetic resonance (NMR) measurements in
CeCoIn$_5$ at low temperature ($T \approx 70$ mK) as a function of magnetic
field ($H_0$) from 2 T to 13.5 T applied perpendicular to the $\hat c$-axis.
NMR line shift reveals that below 10 T the spin susceptibility increases as
$\sqrt{H_0}$. We associate this with an increase of the density of states due
to the Zeeman and Doppler-shifted quasiparticles extended outside the vortex
cores in a d-wave superconductor. Above 10 T a new superconducting state is
stabilized, possibly the modulated phase predicted by Fulde, Ferrell, Larkin
and Ovchinnikov (FFLO). This phase is clearly identified by a strong and linear
increase of the NMR shift with the field, before a jump at the first order
transition to the normal state.


title: Botanical Ratchets

abstract:
  Ratcheting surfaces are a common motif in nature and appear in plant awns and
grasses. They are known to profer selective advantages for seed dispersion and
burial. In two simple model experiments we show that these anisotropically
toothed surfaces naturally serve as motion rectifiers and generically move in a
unidirectional manner when subjected to temporally and spatially symmetric
excitations of various origins. Using a combination of theory and experiment we
show that a linear relation between awn length and ratchet efficiency holds
under biologically relevant conditions. Thus, grass awns efficiently transform
non-equilibrium environmental stresses into useful work and directed motion
using their length as a fluctuation amplifier, yielding a selective advantage
to these organelles in many plant species.


title: The quasiclassical realms of this quantum universe

abstract:
  The most striking observable feature of our indeterministic quantum universe
is the wide range of time, place, and scale on which the deterministic laws of
classical physics hold to an excellent approximation. This essay describes how
this domain of classical predictability of every day experience emerges from a
quantum theory of the universe's state and dynamics.


title:
Conductance quantization and transport gap in disordered graphene
  nanoribbons

abstract:
  We study numerically the effects of edge and bulk disorder on the conductance
of graphene nanoribbons. We compute the conductance suppression due to
localization induced by edge scattering. We find that even for weak edge
roughness, conductance steps are suppressed and transport gaps appear. These
gaps are approximately inversely proportional to the nanoribbon width. On/off
conductance ratios grow exponentially with the nanoribbon length. Our results
impose severe limitations to the use of graphene in ballistic nanowires.


title: MSSM with Dimension-five Operators (MSSM_5)

abstract:
  We perform a general analysis of the R-parity conserving dimension-five
operators that can be present beyond the Minimal Supersymmetric Standard Model.
Not all these operators are actually independent. We present a method which
employs spurion-dependent field redefinitions that removes this "redundancy"
and establishes the minimal, irreducible set of these dimension-five operators.
Their potential effects on the MSSM Higgs sector are discussed to show that the
tree level bound $m_h\leq m_Z$ cannot be easily lifted within the
approximations used, and quantum corrections are still needed to satisfy the
LEPII bound. An ansatz is provided for the structure of the remaining couplings
in the irreducible set of D=5 operators, which avoids phenomenological
constraints from flavor changing neutral currents. The minimal set of operators
brings new couplings in the effective Lagrangian, notably "wrong"-Higgs Yukawa
couplings and contact fermion-fermion-scalar-scalar interactions, whose effects
are expected to be larger than those generated in the MSSM at loop or even tree
level. This has implications in particular for LHC searches for supersymmetry
by direct squark production.


title:
Origins of large critical temperature variations in single layer
  cuprates

abstract:
  We study the electronic structures of two single layer superconducting
cuprates, Tl$_2$Ba$_2$CuO$_{6+\delta}$ (Tl2201) and
(Bi$_{1.35}$Pb$_{0.85}$)(Sr$_{1.47}$La$_{0.38}$)CuO$_{6+\delta}$ (Bi2201) which
have very different maximum critical temperatures (90K and 35K respectively)
using Angular Resolved Photoemission Spectroscopy (ARPES). We are able to
identify two main differences in their electronic properties. First, the shadow
band that is present in double layer and low T$_{c,max}$ single layer cuprates
is absent in Tl2201. Recent studies have linked the shadow band to structural
distortions in the lattice and the absence of these in Tl2201 may be a
contributing factor in its T$_{c,max}$.Second, Tl2201's Fermi surface (FS)
contains long straight parallel regions near the anti-node, while in Bi2201 the
anti-nodal region is much more rounded. Since the size of the superconducting
gap is largest in the anti-nodal region, differences in the band dispersion at
the anti-node may play a significant role in the pairing and therefore affect
the maximum transition temperature.


title:
Cold Fermionic Atoms in Two-Dimensional Traps -- Pairing versus Hund's
  Rule

abstract:
  The microscopic properties of few interacting cold fermionic atoms confined
in a two-dimensional (2D) harmonic trap are studied by numerical
diagonalization. For repulsive interactions, a strong shell structure
dominates, with Hund's rule acting at its extreme for the mid-shell
configurations. In the attractive case, odd-even oscillations due to pairing
occur simultaneously with deformations in the internal structure of the ground
states, as seen from pair correlation functions.


title:
Is the Optically Unidentified Radio Source, FIRST J121839.7+295325, a
  Dark Lens?

abstract:
  We present evidence that the optically unidentified radio source, FIRST
J121839.7+295325, may be strongly lensing a background galaxy. We estimate the
redshift of the assumed gravitational arc, discovered in parallel imaging with
HST, from MMT-Blue Channel spectroscopy to be z_{arc}=2.48_-0.05^+0.14. We
present lens models with an Einstein radius of R_E=1.3" which contains a mass
of M_{dyn}=10^{12 +- 0.5} M_{sol}, where the uncertainty reflects the range of
possible lens redshifts. The putative lens is not detected to J_{lim}=22.0 mag
and H_{lim}=20.7 mag in our MMT-SWIRC imaging. Using the flux limits from WFPC2
and SWIRC, we estimate that the dynamical mass-to-light ratio of
J121839.7+295325 is M_{dyn}/L_B >~ 10 M_sol/L_sol for A_V=1 mag, and this lower
limit could be as high as 30 M_sol/L_sol for A_V=0 mag. Since the radio source
is optically unidentified (V_{lim}=25.5 mag) and has a radio flux of S_{1.4
GHz}=33 mJy, it is likely a massive early-type galaxy which hosts a radio-loud
AGN at 0.8<z<1.5. However, the present data cannot uniquely determine the
mass-to-light ratio of the lensing galaxy, and hence the possibility that this
system may be a reasonably dark lens is not ruled out.


title: String Physics at the LHC

abstract:
  The LHC program will include the identification of events with single
high-k_T photons as probes of new physics. We show that this channel is
uniquely suited to search for experimental evidence of TeV-scale open string
theory.


title:
Observations regarding compactness in the $\overline{\partial}$-Neumann
  problem

abstract:
  We show that compactness of the $\overline{\partial}$-Neumann operator is
independent of the metric, and we give a new proof of this independence for
subellipticity. We define an abstract obstruction to compactness, namely the
common zero set of all the compactness multipliers, and we identify this subset
of the boundary for convex domains in $\mathbb{C}^{n}$ and for complete Hartogs
domains in $\mathbb{C}^{2}$.


title: Convexity in semi-algebraic geometry and polynomial optimization

abstract:
  We review several (and provide new) results on the theory of moments, sums of
squares and basic semi-algebraic sets when convexity is present. In particular,
we show that under convexity, the hierarchy of semidefinite relaxations for
polynomial optimization simplifies and has finite convergence, a highly
desirable feature as convex problems are in principle easier to solve. In
addition, if a basic semi-algebraic set K is convex but its defining
polynomials are not, we provide a certificate of convexity if a sufficient (and
almost necessary) condition is satified. This condition can be checked
numerically and also provides a new condition for K to have semidefinite
representation. For this we use (and extend) some of recent results from the
author and Helton and Nie. Finally, we show that when restricting to a certain
class of convex polynomials, the celebrated Jensen's inequality in convex
analysis can be extended to linear functionals that are not necessarily
probability measures.


title: Electron Phonon Superconductivity in LaNiOP

abstract:
  We report first principles calculations of the electronic structure, phonon
dispersions and electron phonon coupling of LaNiPO. These calculations show
that this material can be explained as a conventional electron phonon
superconductor in contrast to the FeAs based high temperature superconductors.


title:
Non-Markovian dynamics and von Neumann entropy evolution of a qubit in a
  spin environment

abstract:
  The dynamics of a central spin-1/2 in presence of a local magnetic field and
a bath of N spin-1/2 particles is studied in the thermodynamic limit. The
interaction between the spins is Heisenberg XY type and the bath is considered
to be a perfect thermal reservoir. In this case, the evolution of the
populations of the reduced density matrix are obtained for different
temperatures. A Born approximation is made but not a Markov approximation
resulting a non-Markovian dynamics. The measure of the way that the system
mixes is obtained by means of the von Neumann entropy. For low temperatures,
results show that there are oscillations of populations and of the von Neumann
entropy, indicating that the central spin becomes a pure state with
characteristic time periods in which it is possible to extract or recuperate
information. In the regime of high temperatures, the evolution shows a final
maximum mixed state with entropy S=ln 2 as it is expected for a two level
system.


title:
Computational Approaches to Measuring the Similarity of Short Contexts :
  A Review of Applications and Methods

abstract:
  Measuring the similarity of short written contexts is a fundamental problem
in Natural Language Processing. This article provides a unifying framework by
which short context problems can be categorized both by their intended
application and proposed solution. The goal is to show that various problems
and methodologies that appear quite different on the surface are in fact very
closely related. The axes by which these categorizations are made include the
format of the contexts (headed versus headless), the way in which the contexts
are to be measured (first-order versus second-order similarity), and the
information used to represent the features in the contexts (micro versus macro
views). The unifying thread that binds together many short context applications
and methods is the fact that similarity decisions must be made between contexts
that share few (if any) words in common.


title:
Ice Lines, Planetesimal Composition and Solid Surface Density in the
  Solar Nebula

abstract:
  To date, there is no core accretion simulation that can successfully account
for the formation of Uranus or Neptune within the observed 2-3 Myr lifetimes of
protoplanetary disks. Since solid accretion rate is directly proportional to
the available planetesimal surface density, one way to speed up planet
formation is to take a full accounting of all the planetesimal-forming solids
present in the solar nebula. By combining a viscously evolving protostellar
disk with a kinetic model of ice formation, we calculate the solid surface
density in the solar nebula as a function of heliocentric distance and time. We
find three effects that strongly favor giant planet formation: (1) a decretion
flow that brings mass from the inner solar nebula to the giant planet-forming
region, (2) recent lab results (Collings et al. 2004) showing that the ammonia
and water ice lines should coincide, and (3) the presence of a substantial
amount of methane ice in the trans-Saturnian region. Our results show higher
solid surface densities than assumed in the core accretion models of Pollack et
al. (1996) by a factor of 3 to 4 throughout the trans-Saturnian region. We also
discuss the location of ice lines and their movement through the solar nebula,
and provide new constraints on the possible initial disk configurations from
gravitational stability arguments.


title:
Formation of X-Ray Cavities by the Magnetically Dominated Jet-Lobe
  System in a Galaxy Cluster

abstract:
  We present cosmological magnetohydrodynamic simulations of the formation of a
galaxy cluster with magnetic energy feedback from an active galactic nuclei
(AGN). We demonstrate that X-ray cavities can be produced by the magnetically
dominated jet-lobe system that is supported by a central axial current. The
cavities are magnetically dominated and their morphology is determined
jointedly by the magnetic fields and the background cluster pressure profile.
The expansion and motion of the cavities are driven initially by the Lorentz
force of the magnetic fields, and the cavities only become buoyant at late
stages ($> 500$ Myr). We find that up to $80%-90%$ of the injected magnetic
energy goes into doing work against the hot cluster medium, heating it, and
lifting it in the cluster potential.


title: Prescription of Q-curvature on closed Riemannian manifolds

abstract:
  In this paper it is hown that given any smooth, positive function f on a
closed, smooth manifold of dimension greater than four and with positive
Paneitz invariant, there exists a metric on M such that $Q_g$ = f.


title:
An AzTEC 1.1 mm Survey of the GOODS-N Field I: Maps, Catalogue, and
  Source Statistics

abstract:
  We have conducted a deep and uniform 1.1 mm survey of the GOODS-N field with
AzTEC on the James Clerk Maxwell Telescope (JCMT). Here we present the first
results from this survey including maps, the source catalogue, and 1.1 mm
number-counts. The results presented here were obtained from a 245 sq-arcmin
region with near uniform coverage to a depth of 0.96-1.16 mJy/beam. Our robust
catalogue contains 28 source candidates detected with S/N >= 3.75, only 1-2 of
which are expected to be spurious detections. Of these source candidates, 8 are
also detected by SCUBA at 850 um in regions where there is good overlap between
the two surveys. The major advantage of our survey over that with SCUBA is the
uniformity of coverage. We calculate number counts using two different
techniques: the first using a frequentist parameter estimation, and the second
using a Bayesian method. The two sets of results are in good agreement. We find
that the 1.1 mm differential number counts are well described in the 2-6 mJy
range by the functional form dN/dS = N' (S'/S) exp(-S/S') with fitted
parameters S' = 1.25 +/-0.38 mJy and dN/dS = 300 +/- 90 per mJy per sq-deg at 3
mJy.


title: In Outer Space without a Space Suit?

abstract:
  The author proposes and investigates his old idea - a living human in space
without the encumbrance of a complex space suit. Only in this condition can
biological humanity seriously attempt to colonize space because all planets of
Solar system (except the Earth) do not have suitable atmospheres. Aside from
the issue of temperature, a suitable partial pressure of oxygen is lacking. In
this case the main problem is how to satiate human blood with oxygen and delete
carbonic acid gas (carbon dioxide). The proposed system would enable a person
to function in outer space without a space suit and, for a long time, without
food. That is useful also in the Earth for sustaining working men in an
otherwise deadly atmosphere laden with lethal particulates (in case of nuclear,
chemical or biological war), in underground confined spaces without fresh air,
under water or a top high mountains above a height that can sustain
respiration.


title: Hidden order revealed in quantum oscillations in cuprate superconductors

abstract:
  We follow the line of reasoning that hidden broken symmetries are the root of
quantum oscillations observed in underdoped superconductors and examine the
role of bilayer splitting and incommensuration. This is a view that eschews the
notion of a featureless Mott liquid as the source of complexity. Instead, our
view is grounded in a conventional Fermi surface and quasiparticles. We show
that bilayer splitting and/or incommensurate $d$-density wave order can lead to
many interesting results, in particular a splitting of the main frequency of
the quantum oscillations.


title: Entropy of black holes in topologically massive gravity

abstract:
  We study the issue of black hole entropy in the topologically massive
gravity. Assuming that the presence of gravitational Chern-Simons term with the
coupling $1/\mu$ does modify the horizon radius $\tilde{r}_+$, we propose
$\tilde{S}_{BH}=\pi \tilde{r}_+/2G_3$ as the Bekenstein-Hawking entropy. This
entropy of CS-BTZ black hole satisfies the first-law of thermodynamics and the
area-law but it is slightly different from the shifted-entropy $S_c=\pi
r_+/2G_3+ (1/\mu l)\pi r_-/2G_3$ based on the BTZ black hole with outer $r_+$
and inner horizon $r_-$. In the case of $r_-=0$, $\tilde{S}_{BH}$ represents
the entropy of non-rotating BTZ black hole with the Chern-Simons term
(NBTZ-CS), while $S_c$ reduces to the entropy of NBTZ black hole. It shows that
$\tilde{S}_{BH}$ may be a candidate for the entropy of the CS-BTZ black hole.


title: Galaxy Mass Growth in GDDS and SDSS

abstract:
  I present some new results related to our understanding of the masses of
galaxies both in the local and high-redshift Universe. At high-redshift new
Spitzer data on galaxies in the Gemini Deep Deep Survey allow us a more
accurate measure of stellar mass to light ratios (using rest frame near-IR
light) showing a refinement of the measurements but not great discrepancies. In
the local universe a new method is explored to estimate the baryonic mass
function of galaxies including contributions from unseen HI. This points to an
interesting result: that the baryonic mass function of galaxies may in fact be
quite steep, of comparable slope to the mass function of dark matter haloes.


title: Zero Sound from Holography

abstract:
  Quantum liquids are characterized by the distinctive properties such as the
low temperature behavior of heat capacity and the spectrum of low-energy
quasiparticle excitations. In particular, at low temperature, Fermi liquids
exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently
observed in liquid He-3. In this paper, we ask a question whether such a
characteristic behavior is present in theories with holographically dual
description. We consider a class of gauge theories with fundamental matter
fields whose holographic dual in the appropriate limit is given in terms of the
Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the
N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2
hypermultiplets at strong coupling, finite baryon number density, and low
temperature. We find that these systems exhibit a zero sound mode despite
having a non-Fermi liquid type behavior of the specific heat. These properties
suggest that holography identifies a new type of quantum liquids.


title: Quasinormal spectrum and the black hole membrane paradigm

abstract:
  The membrane paradigm approach to black hole physics introduces the notion of
a stretched horizon as a fictitious time-like surface endowed with physical
characteristics such as entropy, viscosity and electrical conductivity. We show
that certain properties of the stretched horizons are encoded in the
quasinormal spectrum of black holes. We compute analytically the lowest
quasinormal frequency of a vector-type perturbation for a generic black hole
with a translationally invariant horizon (black brane) in terms of the
background metric components. The resulting dispersion relation is identical to
the one obtained in the membrane paradigm treatment of the diffusion on
stretched horizons. Combined with the Buchel-Liu universality theorem for the
membrane's diffusion coefficient, our result means that in the long wavelength
limit the black brane spectrum of gravitational perturbations exhibits a
universal, purely imaginary quasinormal frequency. In the context of
gauge-gravity duality, this provides yet another (third) proof of the
universality of shear viscosity to entropy density ratio in theories with
gravity duals.


title: Retardation magnification and the appearance of relativistic jets

abstract:
  Thanks to the availability of high-resolution high-sensitivity telescopes
such as the Very Large Array, the Hubble Space Telescope, and the Chandra X-ray
Observatory, there is now a wealth of observational data on relativistic jets
from active galactic nuclei (AGN) as well as galactic sources such as
Black-Hole X-ray Binaries. Since the jet speeds cannot be constrained well from
observations, but are generally believed to be relativistic, physical
quantities inferred from observables are commonly expressed in terms of the
unknown beaming parameters: the bulk Lorentz factor and the line-of-sight
angle, usually in their combination as relativistic Doppler factor. This paper
aims to resolve the discrepancies existing in the literature about such
"de-beaming" of derived quantities, in particular regarding the minimum-energy
magnetic field estimate. The discrepancies arise because the distinction is not
normally made between the case of a fixed source observed with different
beaming parameters and the case where the source projection on the sky is held
fixed. The former is usually considered, but it is the latter that corresponds
to interpreting actual jet observations. Furthermore, attention is drawn to the
fact that apparent superluminal motion has a spatial corollary, here called
"retardation magnification", which implies that most parts of a relativistic
jet that are actually present in the observer's frame (a "world map" in
relativity terminology) are in fact hidden on the observer's image (the "world
picture" in general, or "supersnapshot" in the special case of astronomy).


title:
A Sublinear Algorithm for Sparse Reconstruction with l2/l2 Recovery
  Guarantees

abstract:
  Compressed Sensing aims to capture attributes of a sparse signal using very
few measurements. Cand\`{e}s and Tao showed that sparse reconstruction is
possible if the sensing matrix acts as a near isometry on all
$\boldsymbol{k}$-sparse signals. This property holds with overwhelming
probability if the entries of the matrix are generated by an iid Gaussian or
Bernoulli process. There has been significant recent interest in an alternative
signal processing framework; exploiting deterministic sensing matrices that
with overwhelming probability act as a near isometry on $\boldsymbol{k}$-sparse
vectors with uniformly random support, a geometric condition that is called the
Statistical Restricted Isometry Property or StRIP. This paper considers a
family of deterministic sensing matrices satisfying the StRIP that are based on
\srm codes (binary chirps) and a $\boldsymbol{k}$-sparse reconstruction
algorithm with sublinear complexity. In the presence of stochastic noise in the
data domain, this paper derives bounds on the $\boldsymbol{\ell_2}$ accuracy of
approximation in terms of the $\boldsymbol{\ell_2}$ norm of the measurement
noise and the accuracy of the best $\boldsymbol{k}$-sparse approximation, also
measured in the $\boldsymbol{\ell_2}$ norm. This type of $\boldsymbol{\ell_2
/\ell_2}$ bound is tighter than the standard $\boldsymbol{\ell_2 /\ell_1}$ or
$\boldsymbol{\ell_1/ \ell_1}$ bounds.


title:
Connected sums of closed Riemannian manifolds and fourth order conformal
  invariants

abstract:
  In this note we take some initial steps in the investigation of a fourth
order analogue of the Yamabe problem in conformal geometry. The Paneitz
constants and the Paneitz invariants considered are believed to be very helpful
to understand the topology of the underlined manifolds. We calculate how those
quantities change, analogous to how the Yamabe constants and the Yamabe
invariants do, under the connected sum operations.


title:
Nature of Microscopic Black Holes and Gravity in Theories with Particle
  Species

abstract:
  Relying solely on unitarity and the consistency with large-distance black
hole physics, we derive model-independent properties of the microscopic black
holes and of short-distance gravity in theories with N particle species. In
this class of theories black holes can be as light as M_{Planck}/\sqrt{N} and
be produced in particle collisions above this energy. We show, that the micro
black holes must come in the same variety as the species do, although their
label is not associated with any conserved charge measurable at large
distances. In contrast with big Schwarzschildian ones, the evaporation of the
smallest black holes is maximally undemocratic and is biased in favor of
particular species. With an increasing mass the democracy characteristic to the
usual macro black holes is gradually regained. The lowest possible mass above
which black holes become Einsteinian is \sqrt{N} M_{Planck}. This fact uncovers
the new fundamental scale (below the quantum gravity scale) above which gravity
changes classically, and the properties of black holes and gravity are such as
if some extra dimensions open up, although no such input exists in the theory.
Our observations indicate that geometry of space may be an emergent concept
following from large number of species and the consistency with macro black
hole physics. We apply our findings to the phenomenological properties of the
micro black holes that can be observed at LHC for large N. Extrapolating our
findings to small N, one may ask whether the existence of quark and lepton
flavors is already an evidence for emergent extra dimensions at short
distances.


title:
Efficient and Robust Compressed Sensing using High-Quality Expander
  Graphs

abstract:
  Expander graphs have been recently proposed to construct efficient compressed
sensing algorithms. In particular, it has been shown that any $n$-dimensional
vector that is $k$-sparse (with $k\ll n$) can be fully recovered using
$O(k\log\frac{n}{k})$ measurements and only $O(k\log n)$ simple recovery
iterations. In this paper we improve upon this result by considering expander
graphs with expansion coefficient beyond 3/4 and show that, with the same
number of measurements, only $O(k)$ recovery iterations are required, which is
a significant improvement when $n$ is large. In fact, full recovery can be
accomplished by at most $2k$ very simple iterations. The number of iterations
can be made arbitrarily close to $k$, and the recovery algorithm can be
implemented very efficiently using a simple binary search tree. We also show
that by tolerating a small penalty on the number of measurements, and not on
the number of recovery iterations, one can use the efficient construction of a
family of expander graphs to come up with explicit measurement matrices for
this method. We compare our result with other recently developed
expander-graph-based methods and argue that it compares favorably both in terms
of the number of required measurements and in terms of the recovery time
complexity. Finally we will show how our analysis extends to give a robust
algorithm that finds the position and sign of the $k$ significant elements of
an almost $k$-sparse signal and then, using very simple optimization
techniques, finds in sublinear time a $k$-sparse signal which approximates the
original signal with very high precision.


title: A structure theorem of Dirac-harmonic maps between spheres

abstract:
  For an arbitrary Dirac-harmonic map $(\phi,\psi)$ between compact oriented
Riemannian surfaces, we shall study the zeros of $|\psi|$. With the aid of
Bochner-type formulas, we explore the relationship between the order of the
zeros of $|\psi|$ and the genus of $M$ and $N$. On the basis, we could clarify
all of nontrivial Dirac-harmonic maps from $S^2$ to $S^2$.


title: SIDIS Asymmetries in Quark-Diquark Model

abstract:
  Some properties of intrinsic transverse momentum dependent nucleon
distribution functions are considered in the simple quark-diquark model. The
transverse target polarization dependent asymmetries for SIDIS are calculated
and compared with recent results of COMPASS. The model describes well the
measured asymmetries. Generalization of quark-diquark model for Sivers function
is discussed.


title: Spin dynamics in point contacts to single ferromagnetic films

abstract:
  Excitation of magnons or spin-waves driven by nominally unpolarized transport
currents in point contacts of normal and ferromagnetic metals is probed by
irradiating the contacts with microwaves. Two characteristic dynamic effects
are observed: a rectification of off-resonance microwave current by spin-wave
nonlinearities in the point contact conductance, and a resonant stimulation of
spin-wave modes in the nano-contact core by the microwave field. These
observations provide a direct evidence that the magnetoconductance effects
observed are due to GHz spin dynamics at the ferromagnetic interface driven by
the spin transfer torque effect of the transport current.


title: Chaotic shock waves of a Bose-Einstein condensate

abstract:
  It is demonstrated that the well-known Smale-horseshoe chaos exists in the
time evolution of the one-dimensional Bose-Einstein condensate (BEC) driven by
the time-periodic harmonic or inverted-harmonic potential. A formally exact
solution of the time-dependent Gross-Pitaevskii equation is constructed, which
describes the matter shock waves with chaotic or periodic amplitudes and
phases. When the periodic driving is switched off and the number of condensed
atoms is conserved, we obtained the exact stationary states and non-stationary
states. The former contains the stable non-propagated shock wave, and in the
latter the shock wave alternately collapses and grows for the harmonic trapping
or propagates with exponentially increased shock-front speed for the
antitrapping. It is revealed that existence of chaos play a role for
suppressing the blast of matter wave. The results suggest a method for
preparing the exponentially accelerated BEC shock waves or the stable
stationary states.


title: On endomorphisms of quantum tensor space

abstract:
  We give a presentation of the endomorphism algebra
$\End_{\cU_q(\fsl_2)}(V^{\otimes r})$, where $V$ is the 3-dimensional
irreducible module for quantum $\fsl_2$ over the function field
$\C(q^{{1/2}})$. This will be as a quotient of the Birman-Wenzl-Murakami
algebra $BMW_r(q):=BMW_r(q^{-4},q^2-q^{-2})$ by an ideal generated by a single
idempotent $\Phi_q$. Our presentation is in analogy with the case where $V$ is
replaced by the 2- dimensional irreducible $\cU_q(\fsl_2)$-module, the BMW
algebra is replaced by the Hecke algebra $H_r(q)$ of type $A_{r-1}$, $\Phi_q$
is replaced by the quantum alternator in $H_3(q)$, and the endomorphism algebra
is the classical realisation of the Temperley-Lieb algebra on tensor space. In
particular, we show that all relations among the endomorphisms defined by the
$R$-matrices on $V^{\otimes r}$ are consequences of relations among the three
$R$-matrices acting on $V^{\otimes 4}$. The proof makes extensive use of the
theory of cellular algebras. Potential applications include the decomposition
of tensor powers when $q$ is a root of unity.


title:
Einstein Gravity in Almost Kahler Variables and Stability of Gravity
  with Nonholonomic Distributions and Nonsymmetric Metrics

abstract:
  We argue that the Einstein gravity theory can be reformulated in almost
Kahler (nonsymmetric) variables with effective symplectic form and compatible
linear connection uniquely defined by a (pseudo) Riemannian metric. A class of
nonsymmetric theories of gravitation (NGT) on manifolds enabled with
nonholonomic distributions is analyzed. There are considered some conditions
when the fundamental geometric and physical objects are determined/ modified by
nonholonomic deformations in general relativity or by contributions from Ricci
flow theory and/or quantum gravity. We prove that in such NGT, for certain
classes of nonholonomic constraints, there are modelled effective Lagrangians
which do not develop instabilities. It is also elaborated a linearization
formalism for anholonomic NGT models and analyzed the stability of stationary
ellipsoidal solutions defining some nonholonomic and/or nonsymmetric
deformations of the Schwarzschild metric. We show how to construct nonholonomic
distributions which remove instabilities in NGT. Finally we conclude that
instabilities do not consist a general feature of theories of gravity with
nonsymmetric metrics but a particular property of certain models and/or classes
of unconstrained solutions.


title: Multiple fibers of del Pezzo fibrations

abstract:
  We prove that a terminal three-dimensional del Pezzo fibration has no fibers
of multiplicity $\ge 6$. We also obtain a rough classification possible
configurations of singular points on multiple fibers and give some examples.


title: Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics

abstract:
  We formulate an approach to the geometry of Riemann-Cartan spaces provided
with nonholonomic distributions defined by generic off-diagonal and
nonsymmetric metrics inducing effective nonlinear and affine connections. Such
geometries can be modelled by moving nonholonomic frames on (pseudo) Riemannian
manifolds and describe various types of nonholonomic Einstein, Eisenhart-Moffat
and Finsler-Lagrange spaces with connections compatible to a general
nonsymmetric metric structure. Elaborating a metrization procedure for
arbitrary distinguished connections, we define the class of distinguished
linear connections which are compatible with the nonlinear connection and
general nonsymmetric metric structures. The nonsymmetric gravity theory is
formulated in terms of metric compatible connections. Finally, there are
constructed such nonholonomic deformations of geometric structures when the
Einstein and/or Lagrange-Finsler manifolds are transformed equivalently into
spaces with generic local anisotropy induced by nonsymmetric metrics and
generalized connections. We speculate on possible applications of such
geometric methods in Einstein and generalized theories of gravity, analogous
gravity and geometric mechanics.


title: Gap conjecture for 3-dimensional canonical thresholds

abstract:
  We prove that the interval $(5/6, 1)$ contains no 3-dimensional canonical
thresholds.


title:
Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and
  Nonsymmetric Metrics

abstract:
  We provide a proof that nonholonomically constrained Ricci flows of (pseudo)
Riemannian metrics positively result into nonsymmetric metrics (as explicit
examples, we consider flows of some physically valuable exact solutions in
general relativity). There are constructed and analyzed three classes of
solutions of Ricci flow evolution equations defining nonholonomic deformations
of Taub NUT, Schwarzschild, solitonic and pp--wave symmetric metrics into
nonsymmetric ones.


title: The Question of Relaxation in the Wealth Exchange Models

abstract:
  We look at the meaning of 'relaxation' in the wealth exchange models that are
recently proposed in Econophysics to interpret the wealth distributions. To
quantify and characterise the process of relaxation, we define an appropriate
quantity and evaluate that numerically for the systems of many agents. Also,
the numerical results have been supported heuristically by constructing a
simple differential equation.


title:
Spectral Functionals, Nonholonomic Dirac Operators, and Noncommutative
  Ricci Flows

abstract:
  We formulate a noncommutative generalization of the Ricci flow theory in the
framework of spectral action approach to noncommutative geometry. Grisha
Perelman's functionals are generated as commutative versions of certain
spectral functionals defined by nonholonomic Dirac operators and corresponding
spectral triples. We derive the formulas for spectral averaged energy and
entropy functionals and state the conditions when such values describe
(non)holonomic Riemannian configurations.


title: Universal Extra Dimension

abstract:
  This is a brief discussion of the following features of the Universal Extra
Dimension (UED) model: (i) Formulation, (ii) Indirect bounds, (iii) Collider
search and the Inverse Problem, (iv) Astrophysical bounds, and (v) UED with two
extra dimensions.


title:
Ultrasound study of the solid-liquid transition and solid-liquid
  interface of $^4$He in aerogels

abstract:
  The freezing and melting of $^{4}$He in various aerogels with porosities
ranging from 92 to 97% was studied using longitudinal ultrasound. The freezing
pressure, detected by a change in velocity and attenuation, was elevated from
that of bulk by about 0.3 MPa, and showed little dependence on aerogel
porosity. We report measurements of the transmission of sound through the
solid-liquid interface in aerogel, for the first time, which was independent of
temperature and unaffected by a small addition of $^3$He, unlike the bulk
interface. This indicates that crystal growth was suppressed by disorder,
originating from silica strands. However, small amounts of $^3$He in the solid
significantly decreased the attenuation, because the resultant pinning of
dislocations by $^3$He suppressed phonon scattering, as is observed in bulk
solid $^4$He.


title: Total internal reflection of evanescent plane waves

abstract:
  Describing the phenomenon of total internal reflection in terms of a
reflection coefficient of unit magnitude, we found that, not only can
propagating plane waves be total internally reflected at the planar interface
of two dissimilar, homogeneous, isotropic dielectric-magnetic mediums, but
evanescent plane waves can also be. The refracting medium must be the optically
denser of the two mediums for total internal reflection of an evanescent plane
wave to occur.


title: Black Hole Final State Conspiracies

abstract:
  The principle that unitarity must be preserved in all processes, no matter
how exotic, has led to deep insights into boundary conditions in cosmology and
black hole theory. In the case of black hole evaporation, Horowitz and
Maldacena were led to propose that unitarity preservation can be understood in
terms of a restriction imposed on the wave function at the singularity.
Gottesman and Preskill showed that this natural idea only works if one
postulates the presence of "conspiracies" between systems just inside the event
horizon and states at much later times, near the singularity. We argue that
some AdS black holes have unusual internal thermodynamics, and that this may
permit the required "conspiracies" if real black holes are described by some
kind of sum over all AdS black holes having the same entropy.


title: A Generalization of Fulton-MacPherson Configuration Spaces

abstract:
  Presented is a wonderful compactification of n distinct labeled points in X
away from D, where X is a nonsingular variety and D is a nonsingular proper
subvariety. When D is empty, it is the Fulton-MacPherson configuration space.


title: Flux Vacua Attractors and Generalized Compactifications

abstract:
  We investigate whether there are attractor equations for N=1 flux vacua in
generalized compactifications. We fill a gap in the existing literature by
verifying analytically that the recently proposed susy attractors, for type IIB
CY(3) orientifold compactifications with flux, do give supersymmetric minima of
the relevant scalar potential. Furthermore, our considerations clarify various
confusions about existing proposals for generalization of the flux vacua
attractors to non-K\"{a}hler compactifications. We explore different
possibilities for generalization and find attractor equations for N=1 Minkowski
vacua only both for the heterotic string on SU(3) structure manifolds and for
type IIA/B on SU(3)xSU(3) structure spaces.


title:
Effect of Structural Parameters on Superconductivity in Fluorine-Free
  LnFeAsO1-y (Ln=La,Nd)

abstract:
  The crystal structure of LnFeAsO$_{1-y}$ (Ln = La, Nd) has been studied by
the powder neutron diffraction technique. The superconducting phase diagram of
NdFeAsO$_{1-y}$ is established as a function of oxygen content which is
determined by Rietveld refinement. The small As-Fe bond length suggests that As
and Fe atoms are connected covalently. FeAs$_4$-tetrahedrons transform toward a
regular shape with increasing oxygen deficiency. Superconducting transition
temperatures seem to attain maximum values for regular FeAs$_4$-tetrahedrons.


title: Implementation of SANC EW corrections in WINHAC Monte Carlo generator

abstract:
  In this paper we describe a check of the implementation of SANC system
generated modules into the framework of the WINHAC Monte Carlo event generator.
At this stage of work we limit ourselves to inclusion of complete one-loop
electroweak corrections to the charged-current Drell--Yan process. We perform
tuned comparisons of the results derived with the aid of two codes: 1) the
standard SANC integrator with YFS-inspired treatment of the ISR QED corrections
and 2) the WINHAC generator, upgraded with the SANC electroweak modules and
downgraded to the O(\alpha) QED corrections. The aim of these comparisons is to
prove the correctness of implementation of the SANC electroweak modules into
the WINHAC generator. This is achieved through the presented tuned comparisons.


title:
Annotation of Tribolium nuclear receptors reveals an evolutionary
  overacceleration of a network controlling the ecdysone cascade

abstract:
  The Tribolium genome contains 21 nuclear receptors, representing all of the
six known subfamilies. When compared to other species, this first complete set
for a Coleoptera reveals a strong conservation of the number and identity of
nuclear receptors in holometabolous insects. Two novelties are observed: the
atypical NR0 gene knirps is present only in brachyceran flies, while the NR2E6
gene is found only in Tribolium and in Apis. Using a quantitative analysis of
the evolutionary rate, we discovered that nuclear receptors could be divided
into two groups. In one group of 13 proteins, the rates follow the trend of the
Mecopterida genome-wide acceleration. In a second group of five nuclear
receptors, all acting together at the top of the ecdysone cascade, we observed
an overacceleration of the evolutionary rate during the early divergence of
Mecopterida. We thus extended our analysis to the twelve classic ecdysone
transcriptional regulators and found that six of them (ECR, USP, HR3, E75, HR4
and Kr-h1) underwent an overacceleration at the base of the Mecopterida
lineage. By contrast, E74, E93, BR, HR39, FTZ-F1 and E78 do not show this
divergence. We suggest that coevolution occurred within a network of regulators
that control the ecdysone cascade. The advent of Tribolium as a powerful model
should allow a better understanding of this evolution.


title: Cohomogeneity one disk bundles with normal homogeneous collars

abstract:
  We consider cohomogeneity one homogeneous disk bundles and adress the
question when these admit a nonnegatively curved invariant metric with normal
collar, i.e., such that near the boundary the metric is the product of an
interval and a normal homogeneous space. If such a bundle is not (the quotient
of) a trivial bundle, then we show that its rank has to be in $\{2,3,4,6,8\}$.
Moreover, we give a complete classification of such bundles of rank 6 and 8,
and a partial classification for rank 3.


title:
Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet
  on the square lattice: A high-order coupled cluster treatment

abstract:
  Using the coupled cluster method for high orders of approximation and
complementary exact diagonalization studies we investigate the ground state
properties of the spin-1/2 $J_1$--$J_2$ frustrated Heisenberg antiferromagnet
on the square lattice. We have calculated the ground-state energy, the magnetic
order parameter, the spin stiffness, and several generalized susceptibilities
to probe magnetically disordered quantum valence-bond phases. We have found
that the quantum critical points for both the N\'eel and collinear orders are
  $J_2^{c1}\approx (0.44 \pm 0.01)J_1$ and $J_2^{c2}\approx (0.59 \pm 0.01)J_1$
respectively, which are in good agreement with the results obtained by other
approximations. In contrast to the recent study by [Sirker et al. Phys. Rev. B
{\bf 73}, 184420 (2006)], our data do not provide evidence for the transition
from the N\'{e}el to the valence-bond solid state to be first order. Moreover,
our results are in favor of the deconfinement scenario for that phase
transition. We also discuss the nature of the magnetically disordered quantum
phase.


title: Reconstruction of the Fermi surface in the pseudogap state of cuprates

abstract:
  Reconstruction of the Fermi surface of high-temperature superconducting
cuprates in the pseudogap state is analyzed within nearly exactly solvable
model of the pseudogap state, induced by short-range order fluctuations of
antiferromagnetic (AFM, spin density wave (SDW), or similar charge density wave
(CDW)) order parameter, competing with superconductivity. We explicitly
demonstrate the evolution from "Fermi arcs" (on the "large" Fermi surface)
observed in ARPES experiments at relatively high temperatures (when both the
amplitude and phase of density waves fluctuate randomly) towards formation of
typical "small" electron and hole "pockets", which are apparently observed in
de Haas - van Alfen and Hall resistance oscillation experiments at low
temperatures (when only the phase of density waves fluctuate, and correlation
length of the short-range order is large enough). A qualitative criterion for
quantum oscillations in high magnetic fields to be observable in the pseudogap
state is formulated in terms of cyclotron frequency, correlation length of
fluctuations and Fermi velocity.


title:
Optimal Scheduling of File Transfers with Divisible Sizes on Multiple
  Disjoint Paths

abstract:
  In this paper I investigate several offline and online data transfer
scheduling problems and propose efficient algorithms and techniques for
addressing them. In the offline case, I present a novel, heuristic, algorithm
for scheduling files with divisible sizes on multiple disjoint paths, in order
to maximize the total profit (the problem is equivalent to the multiple
knapsack problem with divisible item sizes). I then consider a cost
optimization problem for transferring a sequence of identical files, subject to
time constraints imposed by the data transfer providers. For the online case I
propose an algorithmic framework based on the block partitioning method, which
can speed up the process of resource allocation and reservation.


title: Kinetic and electrostatic energies in quantum mechanics

abstract:
  A concept of kinetic energy in quantum mechanics is analyzed. Kinetic energy
is a non-zero positive value in many cases of bound states, when a wave
function is a real-valued one and there are no visible motion and flux. This
can be understood, using expansion of the wave function into Fourier integral,
that is, on the basis of virtual plane waves. The ground state energy of a
hydrogen atom is calculated in a special way, regarding explicitly all the
terms of electrostatic and kinetic energies. The correct values of the ground
state energy and the radius of decay are achieved only when the electrostatic
energies of the electron and the proton (self-energies) are not taken into
account. This proves again that self-action should be excluded in quantum
mechanics. A model of a spherical ball with uniformly distributed charge of
particles is considered. It is shown that for a neutral ball (with compensated
electric charge) the electrostatic energy is a non-zero negative value in this
model. This occurs because the self-energy of the constituting particles should
be subtracted. So it shown that the energy of the electric field does not have
to be of a positive value in any imaginable problem.


title: Optical pumping and vibrational cooling of molecules

abstract:
  The methods producing cold molecules from cold atoms tend to leave molecular
ensembles with substantial residual internal energy. For instance, Cs2
molecules initially formed via photoassociation of cold Cs atoms are in several
vibrational levels, v, of the electronic ground state. Here we apply a
broadband femtosecond laser that redistributes the vibrational population in
the ground state via a few electronic excitation - spontaneous emission cycles.
The laser pulses are shaped to remove the excitation frequency band of the v =
0 level, preventing re-excitation from that state. We observe a fast and
efficient accumulation, about 70% of the initially detected molecules, in the
lowest vibrational level, v = 0, of the singlet electronic state. The validity
of this incoherent depopulation pumping method is very general and opens
exciting prospects for laser cooling and manipulation of molecules.


title:
Dynamical holographic QCD with area-law confinement and linear Regge
  trajectories

abstract:
  We construct a new solution of five-dimensional gravity coupled to a dilaton
which encodes essential features of holographic QCD backgrounds dynamically. In
particular, it implements linear confinement, i.e. the area law behavior of the
Wilson loop, by means of a dynamically deformed anti-de Sitter metric. The
predicted square masses of the light-flavored natural-parity mesons and their
excitations lie on linear trajectories of approximately universal slope with
respect to both radial and spin quantum numbers and are in satisfactory
agreement with experimental data.


title:
A connection with parallel torsion on almost hypercomplex manifolds with
  Hermitian and anti-Hermitian metrics

abstract:
  Almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics are
considered. A linear connection $D$ is introduced such that the structure of
these manifolds is parallel with respect to D. Of special interest is the class
of the locally conformally equivalent manifolds of the manifolds with
covariantly constant almost complex structures and the case when the torsion of
D is D-parallel. Curvature properties of these manifolds are studied. An
example of 4-dimensional manifolds in the considered basic class is constructed
and characterized.


title:
Simultaneous measurement of coordinate and momentum on a von Neumann
  lattice

abstract:
  It is shown that on a finite phase plane the $kq$-coordinates and the sites
of a von Neumann lattice are conjugate to one another. This elementary result
holds when the number $M$ defining the size of the phase plane can be expressed
as a product, $M=M_{1}M_{2}$, with $M_{1}$ and $M_{2}$ being relatively prime.
As a consequence of this result a hitherto unknown wave function is defined
giving the probability of simultaneously measuring the momentum and coordinate
on the von Neumann lattice.


title: Approximation of conformal mappings by circle patterns

abstract:
  A circle pattern is a configuration of circles in the plane whose
combinatorics is given by a planar graph G such that to each vertex of G
corresponds a circle. If two vertices are connected by an edge in G, the
corresponding circles intersect with an intersection angle in $(0,\pi)$.
  Two sequences of circle patterns are employed to approximate a given
conformal map $g$ and its first derivative. For the domain of $g$ we use
embedded circle patterns where all circles have the same radius decreasing to 0
and which have uniformly bounded intersection angles. The image circle patterns
have the same combinatorics and intersection angles and are determined from
boundary conditions (radii or angles) according to the values of $g'$ ($|g'|$
or $\arg g'$). For quasicrystallic circle patterns the convergence result is
strengthened to $C^\infty$-convergence on compact subsets.


title: Representation of Quantum Circuits with Clifford and $\pi/8$ Gates

abstract:
  In this paper, we introduce the notion of a normal form of one qubit quantum
circuits over the basis $\{H, P, T\}$, where $H$, $P$ and $T$ denote the
Hadamard, Phase and $\pi/8$ gates, respectively. This basis is known as the
{\it standard set} and its universality has been shown by Boykin et al. [FOCS
'99]. Our normal form has several nice properties: (i) Every circuit over this
basis can easily be transformed into a normal form, and (ii) Every two normal
form circuits compute same unitary matrix if and only if both circuits are
identical. We also show that the number of unitary operations that can be
represented by a circuit over this basis that contains at most $n$ $T$-gates is
exactly $192 \cdot (3 \cdot 2^n - 2)$.


title: Osmotic pressure: resisting or promoting DNA ejection from phage

abstract:
  Recent in vitro experiments have shown that DNA ejection from bacteriophage
can be partially stopped by surrounding osmotic pressure when ejected DNA is
digested by DNase I on the course of ejection. We argue in this work by
combination of experimental techniques (osmotic suppression without DNaseI
monitored by UV absorbance, pulse-field electrophoresis, and cryo-EM
visualization) and simple scaling modeling that intact genome (i.e. undigested)
ejection in a crowded environment is, on the contrary, enhanced or eventually
complete with the help of a pulling force resulting from DNA condensation
induced by the osmotic stress itself. This demonstrates that in vivo, the
osmotically stressed cell cytoplasm will promote phage DNA ejection rather than
resisting it. The further addition of DNA-binding proteins under crowding
conditions is shown to enhance the extent of ejection. We also found some
optimal crowding conditions for which DNA content remaining in the capsid upon
ejection is maximum, which correlates well with the optimal conditions of
maximum DNA packaging efficiency into viral capsids observed almost 20 years
ago. Biological consequences of this finding are discussed.


title: Photoluminescence from localized states in disordered indium nitride

abstract:
  Photoluminescence spectra from disordered InN were studied in very high
magnetic fields. The samples had Gaussian spectra with low temperature emission
peaks at 0.82 and 0.98eV respectively. The average spatial extent of the
excitonic wave functions, inferred from the diamagnetic shift, is only 2-3nm.
This shows that the recombination is from an ensemble of highly localized
states within a landscape of a smooth (classical) disorder potential of
strength of the order of 10meV. The anomalies in the temperature dependence of
the photoluminescence peak and linewidth give further support to the picture of
trapped photoexcited carriers.


title:
Testing the Littlest Higgs Model with T-parity at the Large Hadron
  Collider

abstract:
  In the framework of the littlest Higgs model with T-parity (LHT), we study
the production processes of T-even (T_+) and T-odd (T_-) partners of the top
quark at the Large Hadron Collider (LHC). We show that the signal events can be
distinguished from the standard-model backgrounds, and that information about
mass and mixing parameters of the top partners can be measured with relatively
good accuracies. With the measurements of these parameters, we show that a
non-trivial test of the LHT can be performed. We also discuss a possibility to
reconstruct the thermal relic density of the lightest T-odd particle A_H using
the LHC results, and show that the scenario where A_H becomes dark matter may
be checked.


title:
Qualitative and quantitative analysis of stability and instability
  dynamics of positive lattice solitons

abstract:
  We present a unified approach for qualitative and quantitative analysis of
stability and instability dynamics of positive bright solitons in
multi-dimensional focusing nonlinear media with a potential (lattice), which
can be periodic, periodic with defects, quasiperiodic, single waveguide, etc.
We show that when the soliton is unstable, the type of instability dynamic that
develops depends on which of two stability conditions is violated.
Specifically, violation of the slope condition leads to an amplitude
instability, whereas violation of the spectral condition leads to a drift
instability. We also present a quantitative approach that allows to predict the
stability and instability strength.


title: N-body Efimov states of trapped bosons

abstract:
  We demonstrate the possibility of existence of meta-stable N-body Efimov
states in trapped Bose systems with large scattering length. We calculate
spectra of trapped systems of N=3,4,5,6, and 7 bosons using a stochastic
variational method with a restricted correlated Gaussian basis. For each system
the calculations reveal a series of Efimov states where the energy and the
r.m.s. radius exhibit the characteristic exponential dependence upon the state
number. We also estimate the contribution of these states to the recombination
rate of Bose-Einstein condensates.


title:
Spin-vortex nucleation in a Bose-Einstein condensate by a spin-dependent
  rotating trap

abstract:
  A method to produce a spin-dependent rotating potential using near-resonant
circularly polarized laser beams is proposed. It is shown that half-quantum
vortices are nucleated in a spinor Bose-Einstein condensate with an
antiferromagnetic interaction. In contrast to the vortex nucleation in a scalar
BEC, the spin-vortex nucleation occurs at a low rotation frequency ($\simeq 0.1
\omega_\perp$ with $\omega_\perp$ being the radial trap frequency) in a short
nucleation time $\simeq 50$ ms without dissipation. A method for nondestructive
measurement of half-quantum vortices is discussed.


title:
Melting Point and Lattice Parameter Shifts in Supported Metal
  Nanoclusters

abstract:
  The dependencies of the melting point and the lattice parameter of supported
metal nanoclusters as functions of clusters height are theoretically
investigated in the framework of the uniform approach. The vacancy mechanism
describing the melting point and the lattice parameter shifts in nanoclusters
with decrease of their size is proposed. It is shown that under the high vacuum
conditions (p<10^-7 torr) the essential role in clusters melting point and
lattice parameter shifts is played by the van der Waals forces of
cluster-substrate interation. The proposed model satisfactorily accounts for
the experimental data.


title: Quantum Ratchet Accelerator without a Bichromatic Lattice Potential

abstract:
  In a quantum ratchet accelerator system, a linearly increasing directed
current can be dynamically generated without using a biased field. Generic
quantum ratchet acceleration with full classical chaos [Gong and Brumer, Phys.
Rev. Lett. 97, 240602 (2006)] constitutes a new element of quantum chaos and an
interesting violation of a sum rule of classical ratchet transport. Here we
propose a simple quantum ratchet accelerator model that can also generate
linearly increasing quantum current with full classical chaos. This new model
does not require a bichromatic lattice potential. It is based on a variant of
an on-resonance kicked-rotor system, periodically kicked by two optical lattice
potentials of the same lattice constant, but with unequal amplitudes and a
fixed phase shift between them. The dependence of the ratchet current
acceleration rate on the system parameters is studied in detail. The cold-atom
version of our new quantum ratchet accelerator model should be realizable by
introducing slight modifications to current cold-atom experiments.


title: Signal propagation in time-dependent spin transport

abstract:
  This paper analyzes theoretically the signal propagation in spin transport by
modulating the current passing through magnetic multilayers. Using a
macroscopic description of spin transport based on the dynamical Boltzmann
equation, we show that time-dependent spin transport possesses a wave-like
character that leads to modifications of pure spin-diffusion dynamics. In
particular, the wave-like characteristics allow one to extract a finite spin
signal-propagation velocity.


title: On the universality of the Carter and McLenaghan formula

abstract:
  It is shown that the formula of the isometry generators of the spinor
representation given by Carter and McLenaghan is universal in the sense that
this holds for any representation either in local frames or even in natural
ones. The point-dependent spin matrices in natural frames are introduced for
any tensor representation deriving the covariant form of the isometry
generators in these frames.


title: Traffic of cytoskeletal motors with disordered attachment rates

abstract:
  Motivated by experimental results on the interplay between molecular motors
and tau proteins, we extend lattice-based models of intracellular transport to
include a second species of particle which locally influences the
motor-filament attachment rate. We consider various exactly solvable limits of
a stochastic multi-particle model before focusing on the low-motor-density
regime. Here, an approximate treatment based on the random walk behaviour of
single motors gives good quantitative agreement with simulation results for the
tau-dependence of the motor current. Finally, we discuss the possible
physiological implications of our results.


title: Polymer dynamics in time-dependent periodic potentials

abstract:
  Dynamics of a discrete polymer in time-dependent external potentials is
studied with the master equation approach. We consider both stochastic and
deterministic switching mechanisms for the potential states and give the
essential equations for computing the stationary state properties of molecules
with internal structure in time-dependent periodic potentials on a lattice. As
an example, we consider standard and modified Rubinstein-Duke polymers and
calculate their mean drift and effective diffusion coefficient in the two-state
non-symmetric flashing potential and symmetric traveling potential. Rich
non-linear behavior of these observables is found. By varying the polymer
length, we find current inversions caused by the rebound effect that is only
present for molecules with internal structure. These results depend strongly on
the polymer type. We also notice increased transport coherence for longer
polymers.


title: Moving contact line with balanced stress singularities

abstract:
  A difficulty in the classical hydrodynamic analysis of moving contact-line
problems, associated with the no-slip wall boundary condition resulting in an
unbalanced divergence of the viscous stresses, is reexamined with a smoothed,
finite-width interface model. The analysis in the sharp-interface limit shows
that the singularity of the viscous stress can be balanced by another
singularity of the unbalanced surface stress. The dynamic contact angle is
determined by surface tension, viscosity, contact-line velocity and a single
non-dimensional parameter reflecting the length-scale ratio between interface
width and the thickness of the first molecule layer at the wall surface. The
widely used Navier boundary condition and Cox's hypothesis are also derived
following the same procedure by permitting finite-wall slip.


title:
Parametrized canonical transformation for the Hubbard-model at arbitrary
  interaction strength

abstract:
  The $t-J$ and Heisenberg models are truncated expansions of a canonically
transformed Hubbard model coinciding with it at $U\to \infty$. We show that a
modified canonical transformation applied to the Hubbard model leads to
alternative models of the same form, but whose convergence properties with
respect to the expansion are more favourable, resulting in a good description
of the half-filled ground state even at $0<U\leq1$. We investigate the
transformed Hamiltonian and observables for metallic and insulating variational
wave-functions.


title: Separability in the Ambient Logic

abstract:
  The \it{Ambient Logic} (AL) has been proposed for expressing properties of
process mobility in the calculus of Mobile Ambients (MA), and as a basis for
query languages on semistructured data. We study some basic questions
concerning the discriminating power of AL, focusing on the equivalence on
processes induced by the logic $(=_L>)$. As underlying calculi besides MA we
consider a subcalculus in which an image-finiteness condition holds and that we
prove to be Turing complete. Synchronous variants of these calculi are studied
as well. In these calculi, we provide two operational characterisations of
$_=L$: a coinductive one (as a form of bisimilarity) and an inductive one
(based on structual properties of processes). After showing $_=L$ to be stricly
finer than barbed congruence, we establish axiomatisations of $_=L$ on the
subcalculus of MA (both the asynchronous and the synchronous version), enabling
us to relate $_=L$ to structural congruence. We also present some
(un)decidability results that are related to the above separation properties
for AL: the undecidability of $_=L$ on MA and its decidability on the
subcalculus.


title:
On the importance of the electron-phonon coupling function on the
  superconducting transition temperature in dodecaboride superconductors: A
  comparison of LuB12 with ZrB12

abstract:
  We report a detailed study of specific heat, electrical resistivity and
optical spectroscopy in the superconducting boride LuB12 (Tc = 0.4 K) and
compare it to the higher Tc compound ZrB12 (Tc = 6 K). Both compounds have the
same structure based on enclosed metallic Lu or Zr ions in oversized boron
cages. The infrared reflectivity and ellipsometry in the visible range allow us
to extract the optical conductivity from 6 meV to 4 eV in the normal state from
20 to 280 K. By extracting the superconducting properties, phonon density of
states and electron-phonon coupling function from these measurements we discuss
the important factors governing Tc and explain the difference between the two
compounds. The phonon density of states seems to be insignificantly modified by
substitution of Zr with Lu. However, the soft vibrations of the metal ions in
boron cages, responsible for the relatively high Tc in ZrB12, have almost no
contribution to the electron-phonon coupling in LuB12.


title: On Pseudo Algebraically Closed Extensions of Fields

abstract:
  The notion of `Pseudo Algebraically Closed (PAC) extensions' is a
generalization of the classical notion of PAC fields. It was originally
motivated by Hilbert's tenth problem, and recently had new applications.
  In this work we develop a basic machinery to study PAC extensions. This
machinery is based on a generalization of embedding problems to field
extensions. The main goal is to prove that the Galois closure of any proper
separable algebraic PAC extension is its separable closure. This vastly
generalizes earlier works of Jarden-Razon, Jarden, and Jarden and the author.
This also leads to a classification of all finite PAC extensions which in turn
proves the `bottom conjecture' for finitely generated infinite fields.
  The secondary goal of this work is to unify proofs of known results about PAC
extensions and to establish new basic properties of PAC extensions, e.g.\
transitiveness of PAC extensions.


title:
Hemisphere Soft Function at O(alpha_s^2) for Dijet Production in e+e-
  Annihilation

abstract:
  We determine the O(alpha_s^2) corrections to the partonic hemisphere soft
function relevant for thrust and jet mass distributions in e+e- annihilation in
the dijet limit. In this limit the distributions can be described by a
factorization theorem that sums large logarithmic terms and separates
perturbative from nonperturbative effects. Using the known O(alpha_s^2)
contributions of the jet functions and the hard coefficients in the
factorization theorem, constraints from renormalization group evolution and
nonabelian exponentiation, and results from numerical integration of
O(alpha_s^2) QCD matrix elements, the O(alpha_s^2) corrections of the soft
function can be determined unambiguously. We study the impact of subtracting
contributions related to the O(Lambda_QCD) renormalon in the partonic threshold
using the soft function gap proposed recently by Hoang and Stewart, and we
discuss the importance to account for the renormalization group evolution of
the gap parameter. As a byproduct we also present the previously unknown
next-to-next-to-leading logarithmic anomalous dimensions for the hard
coefficient that appear in the factorization theorem for the double
differential invariant mass distribution for heavy quark pair production at
high energies in the resonance region proven by Fleming etal.


title: On reduction integer programs to knapsack problem

abstract:
  Let $A$ be an integral nonnegative $m\times n$ matrix, $b$ be an integral
nonnegative vector. It is suggested new method for reduction of integer program
$\max \{cx| Ax=b, x\ge 0, x\in\mathbf{Z}^n\}$ to knapsack problem $\max \{c'x|
fAx=fb, x\ge 0, x\in\mathbf{Z}^n\}$.


title:
The Super-Alfv\'enic Model of Molecular Clouds: Predictions for Zeeman
  Splitting Measurements

abstract:
  We present synthetic OH Zeeman splitting measurements of a super-Alfvenic
model of molecular clouds. We select dense cores from synthetic 13CO maps
computed from the largest simulation to date of supersonic and super-Alfvenic
turbulence. The synthetic Zeeman splitting measurements in the cores yield a
relation between the magnetic field strength, B, and the column density, N, in
good agreement with the observations. The large scatter in B at a fixed value
of N is partly due to intrinsic variations in the magnetic field strength from
core to core. We also compute the relative mass-to-flux ratio between the
center of the cores and their envelopes, ${\cal R}_{\mu}$, and show that
super-Alfvenic turbulence produces a significant scatter also in ${\cal
R}_{\mu}$, including negative values (field reversal between core center and
envelope). We find ${\cal R}_{\mu}<1$ for 70% of the cores, and ${\cal
R}_{\mu}<0$ for 12%. Of the cores with $|B_{\rm LOS}|>10$ \muG, 81% have ${\cal
R}_{\mu}<1$. These predictions of the super-Alfvenic model are in stark
contrast to the ambipolar drift model of core formation, where only ${\cal
R}_{\mu}>1$ is allowed.


title: Current-driven instabilities in weakly ionized disks

abstract:
  Cool weakly ionized gaseous rotating disk form the basis for many models in
astrophysics objects. Instabilities against perturbations in such disks play an
important role in the theory of the formation of stars and planets.
Traditionally, axisymmetric magnetohydrodynamic (MHD) and recently Hall-MHD
instabilities have been thoroughly studied as providers of an efficient
mechanism for radial transfer of angular momentum, and of density radial
stratification. In the current work, the Hall instability against axisymmetric
perturbations in incompressible rotating fluid in external poloidal and
toroidal magnetic field is considered.


title:
About the Chemical Evolution of dSphs (and the peculiar Globular Cluster
  Omega Cen)

abstract:
  We present three dimensional hydrodynamical simulations aimed at studying the
dynamical and chemical evolution of the interstellar medium (ISM) in isolated
dwarf spheroidal galaxies (dSphs). This evolution is driven by the explosion of
Type II and Type Ia supernovae, whose different contribution on both the
dynamics and chemical enrichment is taken into account. Radiative losses are
effective in radiating away the huge amount of energy released by SNe
explosions, and the dSph is able to retain most of the gas allowing a long
period (>2-3 Gyr) of star formation, as usually observed in this kind of
galaxies. We are able to reproduce the stellar metallicity distribution
function (MDF) as well as the peculiar chemical properties of strongly
O-depleted stars observed in several dSphs. The model also naturally predicts
two different stellar populations, with an anti-correlation between [Fe/H] and
velocity dispersion, similarly to what observed in the Sculptor and Fornax
dSphs. These results derive from the inhomogeneous pollution of the SNe Ia, a
distinctive characteristic of our model. We also applied the model to the
peculiar globular cluster (GC) Omega Cen in the hypothesis that it is the
remnant of a formerly larger stellar system, possibly a dSph.


title: Friedmann branes with variable tension

abstract:
  We introduce brane-worlds with non-constant tension, strenghtening the
analogy with fluid membranes, which exhibit a temperature-dependence according
to the empirical law established by E\"otv\"os. This new degree of freedom
allows for evolving gravitational and cosmological constants, the latter being
a natural candidate for dark energy. We establish the covariant dynamics on a
brane with variable tension in full generality, by considering asymmetrically
embedded branes and allowing for non-standard model fields in the 5-dimensional
space-time. Then we apply the formalism for a perfect fluid on a Friedmann
brane, which is embedded in a 5-dimensional charged Vaidya-Anti de Sitter
space-time.


title: CDF Hot Topics

abstract:
  In this paper we review the most recent results in the fields of beauty and
charm Physics


title: Almost Paracontact Manifolds

abstract:
  In this paper eleven basic classes of almost paracontact manifolds are
introduced and some examples are constructed.


title:
Electronic Structure and Electron Correlation in LaFeAsO_{1-x}F_x and
  LaFePO_{1-x}F_x

abstract:
  Photoemission spectroscopy is used to investigate the electronic structure of
the newly discovered iron-based superconductors LaFeAsO_{1-x}F_x and
LaFePO_{1-x}F_x. Line shapes of the Fe 2p core-level spectra suggest an
itinerant character of Fe 3d electrons. The valence-band spectra are generally
consistent with band-structure calculations except for the shifts of Fe
3d-derived peaks toward the Fermi level. From spectra taken in the Fe 3p -> 3d
core-absorption region, we have obtained the experimental Fe 3d partial density
of states, and explained it in terms of a band-structure calculation with a
phenomenological self-energy correction, yielding a mass renormalization factor
of ~< 2.


title:
Decoherence-free quantum information in the presence of dynamical
  evolution

abstract:
  We analyze decoherence-free (DF) quantum information in the presence of an
arbitrary non-nearest-neighbor bath-induced system Hamiltonian using a
Markovian master equation. We show that the most appropriate encoding for N
qubits is probably contained within the ~(2/9) N excitation subspace. We give a
timescale over which one would expect to apply other methods to correct for the
system Hamiltonian. In order to remain applicable to experiment, we then focus
on small systems, and present examples of DF quantum information for three and
four qubits. We give an encoding for four qubits that, while quantum
information remains in the two-excitation subspace, protects against an
arbitrary bath-induced system Hamiltonian. Although our results are general to
any system of qubits that satisfies our assumptions, throughout the paper we
use dipole-coupled qubits as an example physical system.


title:
Diverging Giant Magnetoresistance in the Limit of Infinitely Conducting
  Spacer

abstract:
  The relevance of pair-breaking by exchange and dipolar fields, and by
injected spins in a low carrier density cuprate
Y$_{1-x}$Pr$_x$Ba$_2$Cu$_3$O$_7$ sandwiched between two ferromagnetic La$_{2 /
3}$Sr$_{1 / 3}$MnO$_{3}$ layers is examined. At low external field ($H_{ext}$),
the system shows a giant magnetoresistance(MR), which diverges deep in the
superconducting state. We establish a distinct dipolar contribution to MR near
the switching field(H$_c$) of the magnetic layers. At H$_{ext} \gg$ H$_c$, a
large positive MR, resulting primarily from the motion of Josephson vortices
and pair breaking by the in-plane field, is seen.


title: Quiescent X-ray emission from the M9 dwarf LHS 2065

abstract:
  We investigate an archival XMM-Newton observation of LHS 2065, an ultracool
dwarf with spectral type M9. We clearly detect LHS 2065 at soft X-ray energies
in less than 1 h effective exposure time above the 3 sigma level with the PN
and MOS1 detector. No flare signatures are present and we attribute the X-ray
detection to quasi-quiescent activity. From the PN data we derive an X-ray
luminosity of L_x = 2.2 +/- 0.7 x 10^26 erg/s in the 0.3-0.8 keV band, the
corresponding activity level of log L_x/L_bol = -3.7 points to a rather active
star. Indications for minor variability and possible accompanying spectral
changes are present, however the short exposure time and poor data quality
prevents a more detailed analysis. LHS 2065 is one of the coolest and least
massive stars that emits X-rays at detectable levels in quasi-quiescence,
implying the existence of a corona.


title: G\'eom\'etrie et cognition; l'exemple du continu

abstract:
  In this paper I propose the idea to establish a clear distinction between the
foundations of truth and the foundations of meaning in Mathematics. I explore
on the most basic example, the mathematical line, the possibility that the
foundations of its meaning are provided by a protomathematical object resulting
from the identification by our perceptual system of the visual line and the
vestibular line, a point of view suggested by recent results of
neurophysiology.


title: A first principles study on FeAs single layers

abstract:
  FeAs- single layer is tested as a simple model for LaFeAsO and BaFe2As2 based
on first-principles calculations using generalized gradient approximation (GGA)
and GGA+U. The calculated single- layer geometric and electronic structures are
inconsistent with that of bulk materials. The bulk collinear antiferromagnetic
ground state is failed to be obtained in the FeAs- single layer. The monotonous
behavior of the Fe-As distance in z direction upon electron or hole doping is
also in contrast with bulk materials. Our results indicate that, in LaFeAsO and
BaFe2As2, interactions between FeAs layer and other layers beyond simple charge
doping are important, and a single FeAs layer may not represent a good model
for Fe based superconducting materials.


title:
Quantum quasiresonances in grazing incident angle atom-surface
  collisions

abstract:
  The momentum transfer between the normal components to an index direction in
the collision of an atom with a periodic surface is investigated. For fast
atoms with grazing angle of incidence there is an interval of azimuthal angles
around the index direction for which the energy transfer can be very efficient.
This effect is reflected in quantum diffraction patterns with large
non-specular peaks, associated with the parallel to the surface and normal to
the index direction momentum component, and can be described in terms of
quasiresonance. Although the classical dynamics does not reproduce the precise
quantum diffraction probabilities, indicating the quantum nature of this
effect, classical and quantum computations show that the span of the
quasiresonance region coincides in both dynamics and can be classically
estimated from the phase-space analysis.


title:
Polarization of Lambda^0 hyperons in nucleus-nucleus collisions at high
  energies

abstract:
  The measurement of Lambda^0 hyperons polarization in nucleus-nucleus
collisions is considered as one of possible tools to study the phase
transition. Fixed target and collider experiments are discussed for the case of
Lambda^0's production from Au-Au central collisions at \sqrt{s_{NN}} of several
GeV.


title: Special Examples of Diffusions in Random Environment

abstract:
  In this note we present some examples of diffusions in random environment
whose asymptotic behavior is rather surprising. We construct a family of
diffusions that are small perturbations of Brownian motion with non-vanishing
expected local drift under the static measure of the environment but where the
ballistic behavior is lost. As slight modifications of this collection of
diffusions we also provide examples with ballistic behavior where the
non-vanishing limiting velocity points to a direction opposite to the expected
local drift under the static measure.


title: Decoupling structure of the principal sigma model-Maxwell interactions

abstract:
  The principal sigma model and Abelian gauge fields coupling is studied. By
expressing the first-order formulation of the gauge field equations an implicit
on-shell scalar-gauge field decoupling structure is revealed. It is also shown
that due to this decoupling structure the scalars of the theory belong to the
pure sigma model and the gauge fields sector consists of a number of coupled
Maxwell theories with currents partially induced by the scalars.


title: Two-Pion Production in Proton-Proton Collisions with Polarized Beam

abstract:
  The two-pion production reaction $\vec{p}p\to pp\pi^+\pi^-$ was measured with
a polarized proton beam at $T_p \approx$ 750 and 800 MeV using the short
version of the COSY-TOF spectrometer. The implementation of a delayed pulse
technique for Quirl and central calorimeter provided positive $\pi^+$
identification in addition to the standard particle identification, energy
determination as well as time-of-flight and angle measurements. Thus all
four-momenta of the emerging particles could be determined with 1-4
overconstraints. Total and differential cross sections as well as angular
distributions of the vector analyzing power have been obtained. They are
compared to previous data and theoretical calculations. In contrast to
predictions we find significant analyzing power values up to $A_y$ = 0.3.


title: Centrifugal quantum states of neutrons

abstract:
  We propose a method for observation of the quasi-stationary states of
neutrons, localized near the curved mirror surface. The bounding effective well
is formed by the centrifugal potential and the mirror Fermi-potential. This
phenomenon is an example of an exactly solvable "quantum bouncer" problem that
could be studied experimentally. It could provide a promising tool for studying
fundamental neutron-matter interactions, as well as quantum neutron optics and
surface physics effects. We develop formalism, which describes quantitatively
the neutron motion near the mirror surface. The effects of mirror roughness are
taken into account.


title:
Reduction of velocity fluctuations in a turbulent flow of gallium by an
  external magnetic field

abstract:
  The magnetic field of planets or stars is generated by the motion of a
conducting fluid through a dynamo instability. The saturation of the magnetic
field occurs through the reaction of the Lorentz force on the flow. In relation
to this phenomenon, we study the effect of a magnetic field on a turbulent flow
of liquid Gallium. The measurement of electric potential differences provides a
signal related to the local velocity fluctuations. We observe a reduction of
velocity fluctuations at all frequencies in the spectrum when the magnetic
field is increased.


title: Simulations of eccentric disks in close binary systems

abstract:
  We study the development of finite eccentricity in accretion disks in close
binary systems using a two-dimensional grid-based numerical scheme. We perform
detailed parameter studies to explore the dependence on viscosity, disk aspect
ratio, the inclusion of a mass-transfer stream and the role of the boundary
conditions. We consider mass ratios 0.05<q<0.3 appropriate to superoutbursting
cataclysmic binary systems.
  Instability to the formation of a precessing eccentric disk that attains a
quasi-steady state with mean eccentricity in the range 0.3-0.5 occurs readily.
The shortest growth times are ~15 binary orbits for the largest viscosities and
the instability mechanism is for the most part consistent with the
mode-coupling mechanism associated with the 3:1 resonance proposed by Lubow.
However, the results are sensitive to the treatment of the inner boundary and
to the incorporation of the mass-transfer stream. In the presence of a stream
we found a critical viscosity below which the disk remains circular.
  Incorporation of a mass-transfer stream tends to impart stability for small
enough viscosity (or, equivalently, mass-transfer rate through the disk) and
does assist in obtaining a prograde precession rate that is in agreement with
observations. For the larger q the location of the 3:1 resonance is pushed
outwards towards the Roche lobe where higher-order mode couplings and
nonlinearity occur. It is likely that three-dimensional simulations that
properly resolve the disk's vertical structure are required to make significant
progress in this case.


title:
A prolongation-projection algorithm for computing the finite real
  variety of an ideal

abstract:
  We provide a real algebraic symbolic-numeric algorithm for computing the real
variety $V_R(I)$ of an ideal $I$, assuming it is finite while $V_C(I)$ may not
be. Our approach uses sets of linear functionals on $R[X]$, vanishing on a
given set of polynomials generating $I$ and their prolongations up to a given
degree, as well as on polynomials of the real radical ideal of $I$, obtained
from the kernel of a suitably defined moment matrix assumed to be positive
semidefinite and of maximum rank. We formulate a condition on the dimensions of
projections of these sets of linear functionals, which serves as stopping
criterion for our algorithm. This algorithm, based on standard numerical linear
algebra routines and semidefinite optimization, combines techniques from
previous work of the authors together with an existing algorithm for the
complex variety. This results in a unified methodology for the real and complex
cases.


title:
Squarks and gluinos at a TeV e+e- collider: Testing the identity of
  Yukawa and gauge couplings in SUSY-QCD

abstract:
  Supersymmetry predicts the identity of Yukawa and gauge couplings in the QCD
sector: quark-squark-gluino = squark-squark-gluon = quark-quark-gluon. We
examine whether the quark-squark-gluino Yukawa coupling can be determined, by
methods complementary to LHC, by analyzing squark-gluino final states at a TeV
e+e- collider.


title: A BLR origin for the iron K$\alpha$ line in NGC7213

abstract:
  The X-ray spectrum of NGC7213 is known to present no evidence for Compton
reflection, a unique result among bright Seyfert 1s. The observed neutral iron
K$\alpha$ line, therefore, cannot be associated with a Compton-thick material,
like the disc or the torus, but is due to Compton-thin gas, with the Broad Line
Region (BLR) as the most likely candidate. To check this hypothesis, a long
Chandra HETG observation, together with a quasi-simultaneous optical
spectroscopic observation at the ESO NTT EMMI were performed. We found that the
iron line is resolved with a FWHM=$2 400^{+1 100}_{-600}$ km/s, in perfect
agreement with the value measured for the broad component of the H$\alpha$,
$2640^{+110}_{-90}$ km/s. Therefore, NGC7213 is the only Seyfert 1 galaxy whose
iron K$\alpha$ line is unambiguously produced in the BLR. We also confirmed the
presence of two ionised iron lines and studied them in greater detail than
before. The resonant line is the dominant component in the Fe XXV triplet,
therefore suggesting an origin in collisionally ionised gas. If this is the
case, the blueshift of around 1000 km/s of the two ionised iron lines could be
the first measure of the velocity of a starburst wind from its X-ray emission.


title: Optimizing number squeezing when splitting a mesoscopic condensate

abstract:
  We optimize number squeezing when splitting a mesoscopic Bose Einstein
condensate. Applying optimal control theory to a realistic description of the
condensate allowed us to identify a form of the splitting ramp which
drastically outperforms the adiabatic splitting. The results can be interpreted
in terms of a generic two-mode model mapped onto a parametric harmonic
oscillator. This optimal route to squeezing paves the way to a much longer
phase coherence and atom interferometry close to the Heisenberg limit.


title:
Phase transitions in LaFeAsO: structural, magnetic, elastic, and
  transport properties, heat capacity and Mossbauer spectra

abstract:
  We present results from a detailed experimental investigation of LaFeAsO, the
parent material in the series of "FeAs" based oxypnictide superconductors. Upon
cooling this material undergoes a tetragonal-orthorhombic crystallographic
phase transition at ~160 K followed closely by an antiferromagnetic ordering
near 145 K. Analysis of these phase transitions using temperature dependent
powder X-ray and neutron diffraction measurements is presented. A magnetic
moment of ~0.35 Bohr magnetons per iron is derived from Mossbauer spectra in
the low temperature phase. Evidence of the structural transition is observed at
temperatures well above the structural transition (up to near 200 K) in the
diffraction data as well as the polycrystalline elastic moduli probed by
resonant ultrasound spectroscopy measurements. The effects of the two phase
transitions on the transport properties (resistivity, thermal conductivity,
Seebeck coefficient, Hall coefficient), heat capacity, and magnetization of
LaFeAsO are also reported, including a dramatic increase in the magnitude of
the Hall coefficient below 160 K. The results suggest that the structural
distortion leads to a localization of carriers on Fe, producing small local
magnetic moments which subsequently order antiferromagnetically upon further
cooling. Evidence of strong electron-phonon interactions in the
high-temperature tetragonal phase is also observed.


title: Magnon like solutions for strings in I-brane background

abstract:
  We study the solutions for fundamental string rotating in a background
generated by a 1+1 dimensional intersection of two orthogonal stacks of
fivebranes in type IIB string theory. We show the existence of magnon like
solutions for the string moving simultaneously in the two spheres in this
background and find the relevant dispersion relation among the various
conserved charges.


title:
An MSSM Extension with a Mirror Fourth Generation, Neutrino Magnetic
  Moments and LHC Signatures

abstract:
  Recent analyses have shown that a sequential fourth generation can be
consistent with precision electroweak data. We consider the possibility that
the new generation could be a mirror generation with $V+A$ rather than $V-A$
interactions. Specifically we consider an extension of the minimal
supersymmetric standard model with a light mirror generation (mirMSSM) .
Implications of this extension are explored. One consequence is an enhancement
of the tau neutrino magnetic moment by several orders of magnitude consistent
with the current limits on the magnetic moment of the tau. The masses of the
mirror generation arise due to electroweak symmetry breaking, and if a mirror
generation exists its mass spectrum must lye below a TeV, and thus should be
discovered at the LHC. Mirror particles and mirror sparticles produce many
characteristic signatures which should be detectable at the LHC. Heavy higgs
boson decays into mirror particles and an analysis of the forward-backward
asymmetries can distinguish a mirror generation from a sequential fourth
generation. The validity of the model can thus be tested at the LHC. A model of
the type discussed here could arise from a more unified structure such as grand
unification or strings where a mirror generation escapes the survival
hypothesis, i.e., a generation and a mirror generation do not tie up to acquire
a mass of size $M_{GUT}$ or $M_{string}$ due to a symmetry, and thus remain
massless down to the electroweak scale.


title: Operator theory of electrical resistance networks

abstract:
  A resistance network is a weighted graph $(G,c)$ with intrinsic (resistance)
metric $R$. We embed the resistance network into the Hilbert space ${\mathcal
H}_{\mathcal E}$ of functions of finite energy. We use the resistance metric to
study ${\mathcal H}_{\mathcal E}$, and vice versa and show that the embedded
images of the vertices $\{v_x\}$ form a reproducing kernel for this Hilbert
space. We also obtain a discrete version of the Gauss-Green formula for
resistance networks and show that resistance networks which support nonconstant
harmonic functions of finite energy have a certain type of \emph{boundary}. We
obtain an analytic boundary representation for the harmonic functions of finite
energy in a sense analogous to the Poisson or Martin boundary representations,
but with different hypotheses, and for a different class of functions. In the
process, we construct a dense space of "smooth" functions of finite energy and
obtain a Gel'fand triple for ${\mathcal H}_{\mathcal E}$. This allows us to
represent the resistance network as a system of Gaussian random variables
indexed by vertices. We also study the spectral representation for $\Delta$ on
${\mathcal H}_{\mathcal E}$ and show how nonzero defect entails a nontrivial
boundary. All of the above are are detected by the operator theory of
${\mathcal H}_{\mathcal E}$ but not $\ell^2$. Our results apply to the
Heisenberg model for the isotropic ferromagnet, improving earlier results of R.
T. Powers on the problem of long-range order (in reference to KMS states on the
$C^\ast$-algebra of the model).


title: Magnetic Susceptibility of Quark Matter

abstract:
  Magnetic properties of quark matter is discussed by evaluating the spin
susceptibility within Fermi-liquid theory. We take into account the dynamical
and static screening effects. At finite temperature, an anomalous T^2 ln T term
for susceptibity is shown as a non-Fermi-liquid effect due to the dynamical
screening of transverse gluons.


title:
Braiding and entanglement in spin networks: a combinatorial approach to
  topological phases

abstract:
  The spin network quantum simulator relies on the su(2) representation ring
(or its q-deformed counterpart at q= root of unity) and its basic features
naturally include (multipartite) entanglement and braiding. In particular,
q-deformed spin network automata are able to perform efficiently approximate
calculations of topological invarians of knots and 3-manifolds. The same
algebraic background is shared by 2D lattice models supporting topological
phases of matter that have recently gained much interest in condensed matter
physics. These developments are motivated by the possibility to store quantum
information fault-tolerantly in a physical system supporting fractional
statistics since a part of the associated Hilbert space is insensitive to local
perturbations. Most of currently addressed approaches are framed within a
'double' quantum Chern-Simons field theory, whose quantum amplitudes represent
evolution histories of local lattice degrees of freedom.
  We propose here a novel combinatorial approach based on `state sum' models of
the Turaev-Viro type associated with SU(2)_q-colored triangulations of the
ambient 3-manifolds. We argue that boundary 2D lattice models (as well as
observables in the form of colored graphs satisfying braiding relations) could
be consistently addressed. This is supported by the proof that the Hamiltonian
of the Levin-Wen condensed string net model in a surface Sigma coincides with
the corresponding Turaev-Viro amplitude on Sigma x [0,1] presented in the last
section.


title:
Decoherence of two qubits coupled with one-mode cavity without
  rotating-wave approximation

abstract:
  The decoherence of two qubits, coupled with one-mode cavity separately, has
been investigated exactly. The results show that, for the resonant case, the
decoherence behavior of system is similar to Markovian case when the coupling
strength is weak, while the concurrence vanishes in finite time and might
recover fractional initial entanglement before it permanently vanishes when the
coupling strength is strong. And for detuning case, the entanglement could
periodically recover after a period of time from its disappearance. These
results are quite different from that of system subjected to Jaynes-Cummings
model.


title:
Conceptualization of seeded region growing by pixels aggregation. Part
  1: the framework

abstract:
  Adams and Bishop have proposed in 1994 a novel region growing algorithm
called seeded region growing by pixels aggregation (SRGPA). This paper
introduces a framework to implement an algorithm using SRGPA. This framework is
built around two concepts: localization and organization of applied action.
This conceptualization gives a quick implementation of algorithms, a direct
translation between the mathematical idea and the numerical implementation, and
an improvement of algorithms efficiency.


title:
One-loop $\beta$ functions of a translation-invariant renormalizable
  noncommutative scalar model

abstract:
  Recently, a new type of renormalizable $\phi^{\star 4}_{4}$ scalar model on
the Moyal space was proved to be perturbatively renormalizable. It is
translation-invariant and introduces in the action a $a/(\theta^2p^2)$ term. We
calculate here the $\beta$ and $\gamma$ functions at one-loop level for this
model. The coupling constant $\beta_\lambda$ function is proved to have the
same behaviour as the one of the $\phi^4$ model on the commutative
$\mathbb{R}^4$. The $\beta_a$ function of the new parameter $a$ is also
calculated. Some interpretation of these results are done.