title: Time-dependent Schr\"odinger perturbations of transition densities

abstract:
  We construct the fundamental solution of $\partial_t-\Delta_y- q(t,y)$, for
functions $q$ with a certain integral space-time relative smallness, in
particular for those satisfying a relative Kato condition. The resulting
transition density is comparable to the Gaussian kernel in finite time, and it
is even asymptotically equal to the Gaussian kernel (in small time) under the
relative Kato condition.
  The result is generalized to arbitrary strictly positive and finite
time-nonhomogeneous transition densities on measure spaces.
  We also discuss specific applications to Schr\"odinger perturbations of the
fractional Laplacian in view of the fact that the 3P Theorem holds for the
fundamental solution corresponding to the operator.


title:
Coherence Transition of Small Josephson Junctions Coupled to a
  Single-Mode Resonant Cavity: Connection to the Dicke Model

abstract:
  We calculate the thermodynamic properties of a collection of $N$ small
Josephson junctions coupled to a single-mode resonant electromagnetic cavity,
at finite temperature $T$, using several approaches. In the first approach, we
include all the quantum-mechanical levels of the junction, but treat the
junction-cavity interaction using a mean-field approximation developed
previously for $T = 0$. In the other approaches, the junctions are treated
including only the two lowest energy levels per junction, but with two
different Hamiltonians. The first of these maps onto the Dicke model of quantum
optics. The second is a modified Dicke model which contains an additional
XY-like coupling between the junctions. The modified Dicke model can be treated
using a mean-field theory, which in the limit of zero XY coupling gives the
solution of the Dicke model in the thermodynamic limit using Glauber coherent
states to represent the cavity. In all cases, for an $N$-independent
junction-cavity coupling, there is a critical junction number $N$ above which
there is a continuous transition from incoherence to coherence with decreasing
$T$. If the coupling scales with $N$ so as to give a well-behaved thermodynamic
limit, there is a critical minimum coupling strength for the onset of
coherence. In all three models, the cavity photon occupation numbers have a
non-Bose distribution when the system is coherent.


title: Theory of Fluctuations in a Network of Parallel Superconducting Wires

abstract:
  We show how the partition function of a network of parallel superconducting
wires weakly coupled together by the proximity effect, subjected a vector
potential along the wires can be mapped onto N-distinguishable two dimensional
quantum-mechanics problem with a perpendicular imaginary magnetic field. Then,
we show, using a mean field approximation, that, for a given coupling, there is
a critical temperature for onset of inter-wire phase coherence. The transition
temperature $T_c$ is plotted on both cases for non-magnetic and a magnetic
field perpendicular to the wires.


title:
Binding Energies and Radii of the Nuclei with N >=Z in an Alpha-Cluster
  Model

abstract:
  Using the surface tension energy put in dependence on the number of
alpha-clusters in the core in a phenomenological model representing a nucleus
as a core and a nuclear molecule on its surface leads to widening the number of
isotopes to be described from the narrow strip of beta-stability to the
isotopes with N >= Z. The number of alpha-clusters in the molecule is obtained
from the analysis of experimental binding energies and the specific density of
the core binding energy \rho and the radii are calculated. It is shown that for
the isotopes of one Z with growing A the number of alpha-clusters of the
molecule decreases mostly to 3 and \rho increases to reach a saturation value
within \rho = 2.5 \div 2.7 MeV/fm^3 at the beta - stable isotopes, so the
narrow strip of the binding energies of the beta - stable isotopes with Z <= 84
is outlined by a function of one variable Z.


title: A mu-differentiable Lagrange multiplier rule

abstract:
  We present some properties of the gradient of a mu-differentiable function.
The Method of Lagrange Multipliers for mu-differentiable functions is then
exemplified.


title: Lattice QCD study of the heavy-heavy-light quark potential

abstract:
  We study the heavy-heavy-light quark ($QQq$) potential in SU(3) quenched
lattice QCD, and discuss one of the roles of the finite-mass valence quark in
the inter-quark potential. Monte Carlo simulations are performed with the
standard gauge action on the $16^4$ lattice at $\beta =6.0$ and the
$O(a)$-improved Wilson fermion action at four hopping parameters. For
statistical improvement, the gauge configuration is fixed with the Coulomb
gauge. We calculate the potential energy of $QQq$ systems as a function of the
inter-heavy-quark distance $R$ in the range of $R \le$ 0.8 fm. The $QQq$
potential is well described with a Coulomb plus linear potential, and the
effective string tension between the two heavy quarks is significantly smaller
than the string tension $\sigma \simeq 0.89$ GeV/fm. It would generally hold
that the effect of the finite-mass valence quark reduces the inter-two-quark
confinement force in baryons.


title: Majorana neutrinos from warped extra dimensions

abstract:
  Field theory in the presence of extra dimensions has offered interesting
solutions to the gauge hierarchy problem, and inspired many attempts to
understand the fermion mass generation mechanism. We study the behaviour of a
bulk fermion field subject to non-standard boundary conditions under Z2
symmetry in a slice of (5D) AdS. These pseudo-Majorana boundary conditions
relate the 5d spinor fields to their 5d charge conjugate and generate Majorana
spinors in four-dimensions. There is a zero mode localized on the visible brane
and the masses of Kaluza-Klein excitations are naturally of order the
weak-scale. We make connection to neutrino phenomenology. We also demonstrate
that, contrary to previous claims, a bulk singlet scalar field cannot provide a
successful mechanism to generate a suppressed Majorana mass for Standard Model
neutrinos localized on the visible brane.


title:
Complex variable function Gaussian beam in strongly nonlocal nonlinear
  media

abstract:
  We introduce a novel class of spatial complex variable function Gaussian
(CVF-Gaussian) beam, which is the product of an arbitrary analytic complex
variable function and a Gaussian function, in strongly nonlocal nonlinear media
(SNNM). The CVF-Gaussian beam rotates generally during propagation. By choosing
the input power of the beam, we can obtain the CVF-Gaussian breather or the
CVF-Gaussian soliton. We reveal that stable CVF-Gaussian beam can exist in SNNM
with different forms, including rotating dipole, and rotating elliptic donut. A
distribution factor which is the parameter for the description of the
transverse distribution of the CVF-Gaussian beam is discussed.


title: Molecules and dust production in the Magellanic Clouds

abstract:
  We present ESO/VLT spectra in the 2.9-4.1 micron range for a large sample of
infrared stars in the Small Magellanic Cloud (SMC), mainly carbon stars,
massive oxygen-rich Asymptotic Giant Branch (AGB) stars, and red supergiants.
Strong emission from Polycyclic Aromatic Hydrocarbons (PAHs) is detected in the
spectrum of the post-AGB object MSX SMC 29. Water ice is detected in at least
one Young Stellar Object, IRAS 01042-7215, for the first time in the SMC. The
strength and shapes of the molecular bands detected in the evolved stars are
compared with similar data for stars in the Large Magellanic Cloud (LMC).
Absorption from acetylene in carbon stars is found to be equally strong in the
SMC as in the LMC, but the LMC stars show stronger dust emission in their
infrared colours and veiling of the molecular bands. This suggests that a
critical link exists in the formation of dust from the molecular atmosphere in
carbon stars which scales with the initial metallicity. Nucleation seeds based
on a secondary element such as titanium or silicon provide a plausible
explanation. In oxygen-rich stars, both the nucleation seeds and molecular
condensates depend on secondary elements (in particular titanium, silicon,
and/or aluminium). Data for pulsating dusty AGB stars and supergiants in the
LMC are used to show that pulsation is likely the critical factor in driving
mass loss, as long as dust forms, rather than the stellar luminosity. Finally,
we suggest that the reduced dust production and consequently slower winds of
metal-poor AGB stars and red supergiants are more likely to result in chemical
inhomogeneities and small-scale structure in the interstellar medium.
(abridged)


title:
Failure of Local Realism Revealed by Extremely Coarse-Grained
  Measurements

abstract:
  We show that failure of local realism can be revealed to observers for whom
only extremely coarse-grained measurements are available. In our instances,
Bell's inequality is violated even up to the maximum limit while both the local
measurements and the initial local states under scrutiny approach the classical
limit. Furthermore, we can observe failure of local realism when an inequality
enforced by non-local realistic theories is satisfied. This suggests that
locality alone may be violated while realism cannot be excluded for specific
observables and states. Small-scale experimental demonstration of our examples
may be possible in the foreseeable future.


title: Normal numbers from Steinhaus viewpoint

abstract:
  In this paper we recall a non-standard construction of the Borel
sigma-algebra B in [0,1] and construct a family of measures (in particular,
Lebesgue measure) in B by a completely non-topological method. This approach,
that goes back to Steinhaus, in 1923, is now used to introduce natural
generalizations of the concept of normal numbers and explore their intrinsic
probabilistic properties. We show that, in virtually all the cases, almost all
real number in [0,1] is normal (with respect to this generalized concept). This
procedure highlights some apparently hidden but interesting features of the
Borel sigma-algebra and Lebesgue measure in [0,1].


title: The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector

abstract:
  We classify irreducible $\sigma$-twisted modules for the N=1 super triplet
vertex operator superalgebra $\mathcal{SW}(m)$ introduced recently [Adamovic
D., Milas A., Comm. Math. Phys., to appear, arXiv:0712.0379]. Irreducible
graded dimensions of $\sigma$-twisted modules are also determined. These
results, combined with our previous work in the untwisted case, show that the
$SL(2,\mathbb{Z})$-closure of the space spanned by irreducible characters,
irreducible supercharacters and $\sigma$-twisted irreducible characters is
$(9m+3)$-dimensional. We present strong evidence that this is also the (full)
space of generalized characters for $\mathcal{SW}(m)$. We are also able to
relate irreducible $\mathcal{SW}(m)$ characters to characters for the triplet
vertex algebra $\mathcal{W}(2m+1)$, studied in [Adamovic D., Milas A., Adv.
Math. 217 (2008), 2664-2699, arXiv:0707.1857].


title:
Crossover between SC states in an unconventional superconductor UCoGe
  driven by ferromagnetic spin fluctuations

abstract:
  UCoGe is reported as a weak ferromagnetic (FM) two-band superconductor (SC)
with the critical temperature, $T_{\mathrm{SC}}\sim$ 0.7 K and the Curie
temperature, $T_{\mathrm{C}}\sim$ 3 K at ambient pressure. We report exotic
attributes of the SC and FM state in moderate magnetic fields. The observed
phenomena clearly demonstrate that the SC regime is superior to the
paramagnetic state in the vicinity of $T_{\mathrm{SC}}$. Above
$T_{\mathrm{SC}}$, the zero-field state is characterized by a regime with
strong FM spin fluctuations, suggesting proximity of the FM quantum critical
point (FM-QCP). In addition, we observed that the robust SC regime develops
independently on the existence or lack of the long-range FM ordering.


title: Stochastic relations of random variables and processes

abstract:
  This paper generalizes the notion of stochastic order to a relation between
probability measures over arbitrary measurable spaces. This generalization is
motivated by the observation that for the stochastic ordering of two stationary
Markov processes, it suffices that the generators of the processes preserve
some, not necessarily reflexive or transitive, subrelation of the order
relation. The main contributions of the paper are: a functional
characterization of stochastic relations, necessary and sufficient conditions
for the preservation of stochastic relations, and an algorithm for finding
subrelations preserved by probability kernels. The theory is illustrated with
applications to hidden Markov processes, population processes, and queueing
systems.


title:
Application of the GALI Method to Localization Dynamics in Nonlinear
  Systems

abstract:
  We investigate localization phenomena and stability properties of
quasiperiodic oscillations in $N$ degree of freedom Hamiltonian systems and $N$
coupled symplectic maps. In particular, we study an example of a parametrically
driven Hamiltonian lattice with only quartic coupling terms and a system of $N$
coupled standard maps. We explore their dynamics using the Generalized
Alignment Index (GALI), which constitutes a recently developed numerical method
for detecting chaotic orbits in many dimensions, estimating the dimensionality
of quasiperiodic tori and predicting slow diffusion in a way that is faster and
more reliable than many other approaches known to date.


title:
Quasiperiodic propagation in time of some classical/quantum systems:
  Nielsen's conserved quantity and Floquet properties

abstract:
  We consider classical and quantum propagators for two different time
intervals. If these propagators follow one another in a Fibonacci sequence we
get a discrete quasiperiodic system. A theorem due to Nielsen provides a novel
conserved quantity for this system. The Nielsen quantity controls the
transition between commutative and non-commutative propagation in time. The
quasiperiodically kicked oscillator moreover is dominated by quasiperiodic
analogues of the Floquet theorem.


title: $\alpha$-Symmetries, Coloured Dimensions and Gauge-String Correspondence

abstract:
  We propose a scenario of gauge-string correspondence by relating the SU(3)
colour group to hidden space-time isometries originating from extra dimensions.
These isometries ($\alpha$-symmetries) are the special symmetries of RNS
superstring theories under global non-linear space-time transformations. The
vertex operators for the octet of gluons are constructed by the procedure of
``photon painting'', that is, with the SU(3) subgroup of the $\alpha$-symmetry
generators acting on a regular open string photon, so the corresponding open
string excitations are in the adjoint of SU(3). Remarkably, the operator
algebra of these massless gluon vertices is closed and possesses the full
zigzag symmetry, crucial for the isomorphism between open strings and QCD. As a
result, the scattering amplitudes of the constructed open string vertex
operators have a field-theoretic rather than a stringy structure, including the
absense of standard tower of massive intermediate states.Our model also
suggests that the total number of underlying hidden dimensions is three, with
each extra dimension carrying its appropriate SU(3) colour and anticolour.


title: Synchonisation of Resonances with Thresholds

abstract:
  The mechanism by which a resonance may be attracted to a sharp threshold is
described with several examples. It involves a threshold cusp interfering
constructively with either or both (i) a resonance produced via confinement,
(ii) attractive t- and u-channel exchanges. More generally, it is suggested
that resonances are eigenstates generated by mixing between confined states and
long-range meson and baryon exchanges.


title:
All-Optical Manipulation of Electron Spins in Carbon-Nanotube Quantum
  Dots

abstract:
  We demonstrate theoretically that it is possible to manipulate electron or
hole spins all optically in semiconducting carbon nanotubes. The scheme that we
propose is based on the spin-orbit interaction that was recently measured
experimentally; we show that this interaction, together with an external
magnetic field, can be used to achieve optical electron-spin state preparation
with a fidelity exceeding 99%. Our results also imply that it is possible to
implement coherent spin rotation and measurement using laser fields linearly
polarized along the nanotube axis, as well as to convert spin qubits into
time-bin photonic qubits. We expect that our findings will open up new avenues
for exploring spin physics in one-dimensional systems.


title: Electromagnetic mass model admitting conformal motion

abstract:
  We study charged fluid spheres under the 4-dimensional Einstein-Maxwell
space-time. The solutions thus obtained admitting conformal motion. We also
investigate whether the solutions set provide electromagnetic mass models such
that the physical parameters including the gravitational mass arise from the
electromagnetic field alone. In this connection three cases are studied here in
detail with the propositions: (1) $p = - \rho$, (2) $\sigma e^{\lambda/2} =
\sigma_0$ and (3) $8 \pi p - E^2 = p_0$ where $\rho$, $p$, $\sigma$ are
respectively the usual matter density, fluid pressure and charge density of the
spherical distribution. Based on these assumptions several features are
explored which seems physically very interesting.


title: Espace des modules de certains polyedres projectifs miroirs

abstract:
  A projective mirror polyhedron is a projective polyhedron endowed with
reflections across its faces. We construct an explicit diffeomorphism between
the moduli space of a mirror projective polyhedron with fixed dihedral angles
in $(0,\frac{\pi}{2}]$, and the union of $n$ copies of $\R^d$, when the
polyhedron has the combinatorics of an \emph{ecimahedron}, an infinite class of
combinatorial polyhedra we introduce here. Moreover, the integers $n$ and $d$
can be computed explicitly in terms of the combinatorics and the fixed dihedral
angles.


title:
Point defects in two-dimensional colloidal crystals: simulation vs.
  elasticity theory

abstract:
  Using numerical and analytical calculations we study the structure of
vacancies and interstitials in two-dimensional colloidal crystals. In
particular, we compare the displacement fields of the defect obtained
numerically with the predictions of continuum elasticity theory for a simple
defect model. In such a comparison it is of crucial importance to employ
corresponding boundary conditions both in the particle and in the continuum
calculations. Here, we formulate the continuum problem in a way that makes it
analogous to the electrostatics problem of finding the potential of a point
charge in periodic boundary conditions. The continuum calculations can then be
carried out using the technique of Ewald summation. For interstitials, the
displacement fields predicted by elasticity theory are accurate at large
distances, but large deviations occur near the defect for distances of up to 10
lattice spacings. For vacancies, the elasticity theory predictions obtained for
the simple model do not reproduce the numerical results even far away from the
defect.


title:
Potassium fluoride doped LaOFeAs multiband superconductors: Evidence for
  extremely high upper critical field

abstract:
  We describe a new methodology of synthesizing the oxypnictide superconductors
with potassium fluoride as a source as a source of fluorine instead of LaF3.
This route also allows the substitution of potassium at lanthanum sites which
leads to an increase in the upper critical field as would be expected for a
multiband superconductor. We also report the highest reported Tc onset of 28.5K
and highest upper critical field in these superconductors.


title: Secure two-dimensional tori are flat

abstract:
  A riemannian manifold is secure if the geodesics between any pair of points
in the manifold can be blocked by a finite number of point obstacles. Compact,
flat manifolds are secure. A standing conjecture says that these are the only
secure, compact riemannian manifolds. The conjecture claims, in particular,
that a riemannian torus of any dimension is secure if and only if it is flat.
We prove this for two-dimensional tori.


title: Thermodynamic properties of Ba1-xMxFe2As2 (M = La and K)

abstract:
  The specific heat $C(T)$ of BaFe$_2$As$_2$ single crystal, electron-doped
Ba$_{0.7}$La$_{0.3}$Fe$_2$As$_2$ and hole-doped Ba$_{0.5}$K$_{0.5}$Fe$_2$As$_2$
polycrystals were measured. For undoped BaFe$_2$As$_2$ single crystal, a very
sharp specific heat peak was observed at 136 K. This is attributed to the
structural and antiferromagnetic transitions occurring at the same temperature.
$C(T)$ of the electron-doped non-superconducting
Ba$_{0.7}$La$_{0.3}$Fe$_2$As$_2$ also shows a small peak at 120 K, indicating a
similar but weaker structural/antiferromagnetic transition. For the hole-doped
superconducting Ba$_{0.5}$K$_{0.5}$Fe$_2$As$_2$, a clear peak of $C/T$ was
observed at $T_c$ = 36 K, which is the highest peak seen at superconducting
transition for iron-based high-$T_c$ superconductors so far. The electronic
specific heat coefficient $\gamma$ and Debye temperature $\Theta_D$ of these
compounds were obtained from the low temperature data.


title: Periodic Structures with Rashba Interaction in Magnetic Field

abstract:
  We analyze the behaviour of a system of particles living on a periodic
crystal in the presence of a magnetic field B. This can be done by involving a
periodic potential U(x) and the Rashba interaction of coupling constant k_{so}.
By resorting the corresponding spectrum, we explicitly determine the band
structures and the Bloch spinors. These allow us to discuss the system
symmetries in terms of the polarizations where they are shown to be broken. The
dynamical spin will be studied by calculating different quantities. In the
limits: k_{so} and U(x)=0, we analyze again the system by deriving different
results. Considering the strong $B$ case, we obtain an interesting result that
is the conservation of the polarizations. Analyzing the critical point
\lambda_{k,\sigma}=\pm\sq{1\over 2}, we show that the Hilbert space associated
to the spectrum in z-direction has a zero mode energy similar to that of
massless Dirac fermions in graphene. Finally, we give the resulting energy
spectrum when B=0 and U(x) is arbitrary.

categories: hep-th cond-mat.mes-hall math-ph math.MP


title: (Near) Conformal Technicolor: What is really new?

abstract:
  The knowledge of the phase diagram of strongly coupled theories as function
of the number of colors, flavors and matter representation plays a fundamental
role when constructing viable extensions of the standard model (SM) featuring
dynamical electroweak symmetry breaking. Here I summarize the state-of-the-art
of the phase diagram for SU(N) gauge theories with fermionic matter
transforming according to arbitrary representations of the underlying gauge
group. I critically report on the latest results from first principle lattice
simulations and then review the principal models of (near) conformal
technicolor such as (Next) Minimal Walking Technicolor (MWT) and Partially
Gauged Technicolor (PGT). I finally show that the incarnation of the conformal
technicolor model is nothing but the simplest PGT model.


title:
Determination of the exchange anisotropy in perovskite antiferromagnets
  using powder inelastic neutron scattering

abstract:
  A procedure is outlined for the determination of magnetic exchange constants
in anisotropic perovskite anitferromagnets using powder inelastic neutron
scattering. Spin wave densities-of-states are measured using time-of-flight
inelastic neutron scattering for LaMnO$_{3}$ ($A$-type antiferromagnet),
LaVO$_{3}$ ($C$-type), and LaFeO$_{3}$ ($G$-type) and compared to Heisenberg
model calculations. The anisotropy of in-plane ($J_{ab}$) and out-of-plane
($J_{c}$) exchange constants can be obtained from the data. The procedure
quickly determines the magnetic exchange interactions without the need for
single-crystal dispersion measurements and allows for rapid systematic studies
of the evolution of magnetism in perovskite systems.


title: Langevin PDF simulation of particle deposition in a turbulent pipe flow

abstract:
  The paper deals with the description of particle deposition on walls from a
turbulent flow over a large range of particle diameter, using a Langevin PDF
model. The first aim of the work is to test how the present Langevin model is
able to describe this phenomenon and to outline the physical as- pects which
play a major role in particle deposition. The general features and
characteristics of the present stochastic model are first recalled. Then,
results obtained with the standard form of the model are presented along with
an analysis which has been carried out to check the sensitivity of the
predictions on different mean fluid quantities. These results show that the
physical repre- sentation of the near-wall physics has to be improved and that,
in particular, one possible route is to introduce specific features related to
the near-wall coherent structures. In the following, we propose a simple
phenomenological model that introduces some of the effects due to the presence
of turbulent coherent structures on particles in a thin layer close to the
wall. The results obtained with this phenomenological model are in good
agreement with experimental evidence and this suggests to pursue in that
direction, towards the development of more general and rigorous stochastic
models that provide a link between a geometrical description of turbulent flow
and a statistical one.


title: Temperature dependent correlations in covalent insulators

abstract:
  Motivated by the peculiar behavior of FeSi and FeSb2 we study the effect of
local electronic correlations on magnetic, transport and optical properties in
a specific type of band insulator, namely a covalent insulator. Investigating a
minimum model of covalent insulator within a single-site dynamical mean-field
approximation we are able to obtain the crossover from low temperature
non-magnetic insulator to high-temperature paramagnetic metal with parameters
realistic for FeSi and FeSb2 systems. Our results show that the behavior of
FeSi does not imply microscopic description in terms of Kondo insulator
(periodic Anderson model) as can be often found in the literature, but in fact
reflects generic properties of a broader class of materials.


title: Probability of Creation of Extra Dimensions in Nuclear Collisions

abstract:
  The minisuperspace model in $3+d$ spatial dimensions with the matter,
described by the bag model, is considered with the aim to estimate the
probability of creation of the compactified extra dimensions in nuclear
collisions. The amplitude of transition from 3- to $3+d$-dimensional space has
been calculated both in the case of completely confined matter, when
contribution of radiation is ignored, and in the case of radiation domination,
when the bag constant is negligible. It turns out that the number of additional
dimensions is limited in the first regime, while this is infinite in the second
one. It is shown that the probability of creation of extra dimensions is finite
in the both regimes.


title: Realisation of cycles by aspherical manifolds

abstract:
  We develop a new purely combinatorial approach to N. Steenrod's problem on
realisation of cycles. We prove that every n-dimensional homology class of
every topological space can be realised with some multiplicity by an image of a
finite-fold covering over the manifold M^n, where M^n is the isospectral
manifold of real symmetric tridiagonal (n=1)x(n+1) matrices. In particular,
every homology class of every arcwise connected topological space can be
realised by a continuous image of an aspherical manifold.


title: Composite dark matter from stable charged constituents

abstract:
  Heavy stable charged particles can exist, hidden from us in bound atomlike
states. Models with new stable charged leptons and quarks give rise to
realistic composite dark matter scenarios. Significant or even dominant
component of O-helium (atomlike system of He4 nucleus and heavy -2 charged
particle) is inevitable feature of such scenarios. Possible O-helium
explanation for the positron excess in the galactic bulge and for the
controversy between the positive results of DAMA and negative results of other
experiments is proposed.


title:
Ground-based Optical and SPITZER Infrared Imaging Observations of Comet
  21P/Giacobini-Zinner

abstract:
  We present ground-based optical and Spitzer Space Telescope infrared imaging
observations of the ecliptic (Jupiter-family) comet 21P/Giacobini-Zinner, the
parent body of the Draconid meteor stream, during its 2005 apparition. Onset of
nucleus activity occurred at a pre-perihelion heliocentric distance, < 3.80 AU,
while post-perihelion 21P was dusty (peak Afrho = 131 cm^{-1}) and active out
to heliocentric distances > 3.3 AU following a logarithmic slope with
heliocentric distance -2.04. Coma colors, (V-R) = 0.524 +/- 0.003, (R-I) =
0.487 +/- 0.004 are redder than solar, yet comparable to colors derived for
other Jupiter-family comets. A nucleus radius of 1.82 +/- 0.05 km is derived
from photometry at quiescence. Spitzer images post-perihelion exhibit an
extensive coma with a prominent dust tail, where excess emission (over the dust
continuum) in the 4.5 micron IRAC image arises from volatile gaseous CO and/or
CO2. No dust trail was detected (3-sigma surface brightness upper-limit of 0.3
MJy/sr/pixel) along the projected velocity vector of comet 21P in the MIPS 24
micron image suggesting that the number density of trail particles is < 7 x
10^{-11} m^{-3}. The bolometric albedo of 21P derived from the contemporaneous
optical and Spitzer observations is A(theta = 22 degr.) = 0.11, slightly lower
than values derived for other comets at the same phase angle.


title: Carries, Shuffling and An Amazing Matrix

abstract:
  The number of ``carries'' when $n$ random integers are added forms a Markov
chain [23]. We show that this Markov chain has the same transition matrix as
the descent process when a deck of $n$ cards is repeatedly riffle shuffled.
This gives new results for the statistics of carries and shuffling.


title: B decays dominated by omega-phi mixing

abstract:
  Recently Belle has established the 90% confidence level (CL) upper limit $\b
< 9.4 \times 10^{-7}$ for the branching ratio for $B^0\to J/\psi \phi$, a
process expected to be suppressed by the Okubo-Zweig-Iizuka (OZI) rule
disfavoring disconnected quark diagrams. We use information on $\omega$--$\phi$
mixing to establish likely lower bounds on this and related processes. We find
that the Belle result is about a factor of five above our limit, while other
decays such as $B^0 \to \bar D^0 \phi$ and $B^+ \to \pi^+ \phi$, for which
upper limits have been obtained by BaBar, could be observable with similar
improvements in data. We argue that a significant enhancement of our predicted
decay rates by rescattering is unlikely.


title: Improved Bounds on the Sizes of S.P Numbers

abstract:
  A number which is S.P in base r is a positive integer which is equal to the
sum of its base-r digits multiplied by the product of its base-r digits. These
numbers have been studied extensively in The Mathematical Gazette. Recently,
Shah Ali obtained the first effective bound on the sizes of S.P numbers.
Modifying Shah Ali's method, we obtain an improved bound on the number of
digits in a base-r S.P number. Our bound is the first sharp bound found for the
case r=2.


title:
The structural equations of Cartan and the wave solution Einstein's
  equation

abstract:
  Work consists of introduction, two chapters, conclusion and four
applications. In this work is examined the condition, with which the wave space
metrics of Riemann- Cartan is the solution of Einstein equation in the void.
Geometric structures were for this purpose studied on the differentiated
variety: connectedness, curvature and twisting connectedness. For this was used
this analytical apparatus of differential geometry as the calculation of
exterior forms.
  In the first chapter the following concepts are examined: - variety; -
vectors and 1- forms on the varieties; - metric tensor, connectedness and the
covariant derivative; - form with the values in the vector spaces; - the
structural equations of Cartan. The second chapter is dedicated to the presence
of condition, during which wave certificate is the solution of Einstein
equation in the void. Using the first and second structural equations of Cartan
for the variety without twisting of that allotted by wave certificate, they
were calculated: the 1- forms of connectedness and the coefficients of
connectedness, and also Riemann tensor, Ricci tensor and scalar of curvature.
  In appendix 1 the derivation of formula for the coefficients of
connected-ness in the space with the twisting is given. In appendix 2 the
calculation of the components of the 1- forms of connectedness is carried out.
In appendix 3 the calculations of the components of the 2- forms of curvature
are presented. In appendix 4 the components of Ricci tensor are calculated.


title:
A Maximum Principle for Elliptic Pseudo-differential Operators on
  Closed, Riemannian Manifolds

abstract:
  In this note we establish the positivity of Green's functions for a class of
elliptic differential operators on closed, Riemannian manifolds.


title:
Equivariant structure constants for ordinary and weighted projective
  space

abstract:
  We compute the integral torus-equivariant cohomology ring for weighted
projective space for two different torus actions by embedding the cohomology in
a sum of polynomial rings $\oplus_{i=0}^n \Z[t_1, t_2,..., t_n]$. One torus
action gives a result complementing that of Bahri, Franz, and Ray. For the
other torus action, each basis class for weighted projective space is a
multiple of the basis class for ordinary projective space; we identify each
multiple explicitly. We also give a simple formula for the structure constants
of the equivariant cohomology ring of ordinary projective space in terms of the
basis of Schubert classes, as a sequence of divided difference operators
applied to a specific polynomial.


title: Characteristic classes for Riemannian foliations

abstract:
  The purpose of this paper is to both survey and offer some new results on the
non-triviality of the characteristic classes of Riemannian foliations. We give
examples where the primary Pontrjagin classes are all linearly independent. The
independence of the secondary classes is also discussed, along with their total
variation. Finally, we give a negative solution of a conjecture that the map of
classifying spaces $\FRGq \to \FGq$ is trivial for codimension $q > 1$.


title: Hypergeometric formulas for lattice sums and Mahler measures

abstract:
  We prove a variety of explicit formulas relating special values of
generalized hypergeometric functions to lattice sums with four indices of
summation. These results are related to Boyd's conjectured identities between
Mahler measures and special values of $L$-series of elliptic curves.


title:
Detecting Robust Patterns in the Spread of Epidemics: A Case Study of
  Influenza in the United States and France

abstract:
  In this paper, the authors develop a method of detecting correlations between
epidemic patterns in different regions that are due to human movement and
introduce a null model in which the travel-induced correlations are cancelled.
They apply this method to the well-documented cases of seasonal influenza
outbreaks in the United States and France. In the United States (using data for
1972-2002), the authors observed strong short-range correlations between
several states and their immediate neighbors, as well as robust long-range
spreading patterns resulting from large domestic air-traffic flows. The
stability of these results over time allowed the authors to draw conclusions
about the possible impact of travel restrictions on epidemic spread. The
authors also applied this method to the case of France (1984-2004) and found
that on the regional scale, there was no transportation mode that clearly
dominated disease spread. The simplicity and robustness of this method suggest
that it could be a useful tool for detecting transmission channels in the
spread of epidemics.


title:
Global regularity of wave maps IV. Absence of stationary or self-similar
  solutions in the energy class

abstract:
  Using the harmonic map heat flow, we construct an energy class for wave maps
$\phi$ from two-dimensional Minkowski space $\R^{1+2}$ to hyperbolic spaces
$\H^m$, and then show (conditionally on a large data well-posedness claim for
such wave maps) that no stationary, travelling, self-similar, or degenerate
wave maps exist in this energy class. These results form three of the five
claims required in our earlier paper (arXiv:0805.4666) to prove global
regularity for such wave maps. (The conditional claim of large data
well-posedness is one of the remaining claims required in that paper.)


title: Quantum Interference Controlled Molecular Electronics

abstract:
  Quantum interference in coherent transport through single molecular rings may
provide a mechanism to control current in molecular electronics. We investigate
its applicability by using a single-particle Green function method combined
with ab initio electronic structure calculations. We find that the quantum
interference effect (QIE) depends strongly on the interaction between molecular
pi states and contact sigma states. It is absent in small molecular rings with
Au leads, such as benzene, due to strong pi-sigma hybridization, while it is
preserved in large rings, such as [18]annulene, which then could be used to
realize QIE transistors.


title: Optimal View Angle in Collective Dynamics of Self-propelled Agents

abstract:
  We study a system of self-propelled agents in which each agent has a part of
omnidirectional or panoramic view of its sensor disc, the field of vision of
the agent in this case is only a sector of a disc bounded by two radii and the
included arc. The inclination of these two radii is characterized as the view
angle. Contrary to our intuition, we find that, the non-omnidirectional-view
for swarm agents with periodic boundary conditions in noiseless Vicsek model
can accelerate the transient process of the emergence of the ordered state. One
consequent implication is that, there are generally superfluous communications
in the Vicsek Model, which may even obstruct the possible fast swarm emergence.
This phenomenon may invoke further efforts and attentions to explore the
underlying mechanism of the emergence in self-propelled agents.


title: A Graph-Theoretic Approach to a Partial Order of Knots and Links

abstract:
  We say that a link $L_1$ is an s-major of a link $L_2$ if any diagram of
$L_1$ can be transformed into a diagram of $L_2$ by changing some crossings and
smoothing some crossings. This relation is a partial ordering on the set of all
prime alternating links. We determine this partial order for all prime
alternating knots and links with the crossing number less than or equal to six.
The proofs are given by graph-theoretic methods.


title: The Gauged Unparticle Action

abstract:
  We show that the unparticle action that is made gauge invariant by the
inclusion of an open Wilson line factor can be transformed into the
integral-differential operator action that avoids the use of the Wilson line
factor. The two forms of the action should therefore give the same Feynman
diagrams. We also show that it is relatively easy to construct Feynman diagrams
using the operator action.


title: Kaluza-Klein Contamination in Fermi Accelerated Environments

abstract:
  Astrophysical constraints of new physics are often limited to weakly
interacting light particles, such as axions, the Kaluza-Klein (KK) gravitons
from the ADD model, sterile neutrinos and unparticles. We discuss the
possibility for an astrophysical scenario to (dis)confirm new physics for heavy
particles beyond TeV energy scale. In our scenario, the KK protons (the KK
excited quarks/gluons within protons) within the framework of universal extra
dimensions (UEDs), are produced by high energy p + p collisions in Fermi
accelerated environments, with protonic isotropic spectrum d N / d E \propto
E^-2 up to at least 10^18 eV. Thus, because they are also electrically charged,
they should be re-accelerated by mechanism similar to normal protons. The KK
states (no matter whether they have already decayed to the lightest KK particle
or not) should contaminate 10^-5 to 10^-2 of cosmic-ray events for some fixed
energy E (within some suitable assumptions). Hence, if we have techniques to
identify them from air shower data, we can constrain UEDs scenario. Our method
is an "existence proof" that we can constrain new physics beyond TeV scale or
much higher by classical astrophysical scenarios, which can also be generalized
to supersymmetric models, the bulk Standard Model fields within the RS model,
and the endlessly emerging new models. Moreover, it can exploit domains which
have no possibility to be studied in terrestrial experiments.


title:
A noncommutative semi-discrete Toda equation and its quasideterminant
  solutions

abstract:
  A noncommutative version of the semi-discrete Toda equation is considered. A
Lax pair and its Darboux transformations and binary Darboux transformations are
found and they are used to construct two families of quasideterminant
solutions.


title:
Photon-arrival detector with a controlled phase flip operation between a
  photon and a V-type atomic system

abstract:
  We propose a photon-arrival detector (PAD), which detects the arrival of a
signal photon and simultaneously projects the signal input state to a single
photon state, with an atom-cavity system. In this proposal, use of a V-type
system as the intracavity atom is discussed for implementing the PAD, since
V-type systems have been widely studied in the field of solid state, enabling
us to miniaturize and integrate that implementation. The performance of the
proposed PAD is evaluated for a specific method of the detection process. The
proposed PAD is capable of repeating the procedure for detecting the arrival of
input photons and it has improves the detection probability so that it has a
higher quantum efficiency than those of conventional photodetectors.


title:
Comment on ``Texture in the Superconducting Order Parameter of
  CeCoIn$_5$ Revealed by Nuclear Magnetic Resonance''

abstract:
  The study of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state has been of
considerable recent interest. Below the temperature $T^*$ which is believed to
be the transition temperature ($T$) to the FFLO phase in CeCoIn$_5$, K.
Kakuyanagi et al. (Phys. Rev. Lett. 94, 047602 (2005)) reported a composite NMR
spectrum with a tiny component observed at frequencies corresponding to the
normal state signal. The results were interpreted as evidence for the emergence
of an FFLO state. This result is inconsistent with two other NMR studies of V.
F. Mitrovi{\'c} et al. (Phys. Rev. Lett. 97, 117002 (2006)) and B.-L. Young et
al. (Phys. Rev. Lett. 98, 036402 (2007)). In this comment we show that the
findings of K. Kakuyanagi et al. do not reflect the true nature of the FFLO
state but result from excess RF excitation power used in that experiment.


title:
K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with
  three-body calculation

abstract:
  A K \bar{K} N system with I=1/2 and J^P=1/2^+ is investigated with
non-relativistic three-body calculations by using effective \bar K N, K \bar K
and KN interactions. The \bar K N interaction describes the Lambda(1405) as a
\bar K N molecule, and the K\bar K interaction is adjusted to give f_0(980) and
a_0(980) states as K \bar K molecules. The present investigation suggests that
a bound K \bar K N state can be formed below the K \bar K N threshold (1930
MeV) with a 90 ~ 100 MeV width of three-hadron decays, which are dominated by K
bar K N -> K pi Sigma and pi eta N. It is found that the K \bar K N state is a
weakly bound hadron molecular state with a size larger than an alpha particle
because of the repulsive KN interactions.


title: Understanding Hawking radiation in the framework of open quantum systems

abstract:
  We study the Hawking radiation in the framework of open quantum systems by
examining the time evolution of a detector (modelled by a two-level atom)
interacting with vacuum massless scalar fields. The dynamics of the detector is
governed by a master equation obtained by tracing over the field degrees of
freedom from the complete system. The nonunitary effects are studied by
analyzing the time behavior of a particular observable of the detector, i.e.,
its admissible state, in the Unruh, Hartle-Hawking, as well as Boulware vacua
outside a Schwarzschild black hole. We find that the detector in both the Unruh
and Hartle-Hawking vacua would spontaneously excite with a nonvanishing
probability the same as what one would obtain if there is thermal radiation at
the Hawking temperature from the black hole, thus reproducing the basic results
concerning the Hawking effect in the framework of open quantum systems.


title:
Insulator to superfluid transition in coupled photonic cavities in two
  dimensions

abstract:
  A system of coupled photonic cavities on a two-dimensional square lattice is
systematically investigated using the stochastic series expansion quantum Monte
Carlo method. The ground state phase diagram contains insulating phases with
integer polariton densities surrounded by a superfluid phase. The finite-size
scaling of the superfluid density is used to determine the phase boundaries
accurately. We find that the critical behavior is that of the generic,
density-driven Mott-superfluid transition with dynamic exponent $z=2$, with no
special multicritical points with $z=1$ at the tips of the insulating-phase
lobes (as exist in the case of the Bose-Hubbard model). This demonstrates a
limitation of the description of polaritons as structureless bosons.


title:
Revisit of interfacial free energy of the hard sphere system near hard
  wall

abstract:
  We propose a simple Monte Carlo method to calculate the interfacial free
energy between the substrate and the material. Using this method we investigate
the interfacial free energys of the hard sphere fluid and solid phases near a
smooth hard wall. According to the obtained interfacial free energys of the
coexisting fluid and solid phases and the Young equation we are able to
determine the contact angle with high accuracy, cos$\theta$ = 1:010(31), which
indicates that a smooth hard wall can be wetted completely by the hard sphere
crystal at the interface between the wall and the hard sphere fluid.


title:
Radio-Continuum Emission From The Young Galactic Supernova Remnant
  G1.9+0.3

abstract:
  We present an analysis of a new Australia Telescope Compact Array (ATCA)
radio-continuum observation of supernova remnant (SNR) G1.9+0.3, which at an
age of $\sim$181$\pm$25 years is the youngest known in the Galaxy. We analysed
all available radio-continuum observations at 6-cm from the ATCA and the Very
Large Array. Using this data we estimate an expansion rate for G1.9+0.3 of
0.563%$\pm$0.078% per year between 1984 and 2009. We note that in the 1980's
G1.9+0.3 expanded somewhat slower (0.484% per year) than more recently (0.641%
per year). We estimate that the average spectral index between 20-cm and 6-cm,
across the entire SNR is $\alpha=-0.72\pm 0.26$ which is typical for younger
SNRs. At 6-cm, we detect an average of 6% fractionally polarised radio emission
with a peak of 17%$\pm$3%. The polarised emission follows the contours of the
strongest of X-ray emission. Using the new equipartition formula we estimate a
magnetic field strength of B$\approx 273\mu$G, which to date, is one of the
highest magnetic field strength found for any SNR and consistent with G1.9+0.3
being a very young remnant. This magnetic field strength implies a minimum
total energy of the synchrotron radiation of E$_{\textrm{min}} \approx$
1.8$\times$10$^{48}$ ergs.


title:
Strong magnetic coupling between an electronic spin qubit and a
  mechanical resonator

abstract:
  We describe a technique that enables a strong, coherent coupling between a
single electronic spin qubit associated with a nitrogen-vacancy impurity in
diamond and the quantized motion of a magnetized nano-mechanical resonator tip.
This coupling is achieved via careful preparation of dressed spin states which
are highly sensitive to the motion of the resonator but insensitive to
perturbations from the nuclear spin bath. In combination with optical pumping
techniques, the coherent exchange between spin and motional excitations enables
ground state cooling and the controlled generation of arbitrary quantum
superpositions of resonator states. Optical spin readout techniques provide a
general measurement toolbox for the resonator with quantum limited precision.


title:
A Comparison of the Afterglows of Short- and Long-Duration Gamma-Ray
  Bursts

abstract:
  We present a comparative study of the observed properties of the optical and
X-ray afterglows of short- and long-duration gamma-ray bursts (GRBs). Using a
large sample of 37 short and 421 long GRBs, we find a strong correlation
between the afterglow brightness measured after 11 hours and the observed
fluence of the prompt emission. Both the optical (R band) and X-ray flux
densities (F_R and F_X) scale with the gamma-ray fluence, F_gamma. For bursts
with a known redshift, a tight correlation exists between the afterglow flux
densities at 11 hours (rest-frame) and the total isotropic gamma-ray energy,
Egi: F_{R,X} ~ Egi^{alpha}, with alpha ~ 1. The constant of proportionality is
nearly identical for long and short bursts, when Egi is obtained from the Swift
data. Additionally, we find that for short busts with F_gamma >10^{-7} erg
cm^{-2}, optical afterglows are nearly always detected by reasonably deep early
observations. Finally, we show that the ratio F_R/F_X has very similar values
for short and long bursts. These results are difficult to explain in the
framework of the standard scenario, since they require that either (1) the
number density of the surrounding medium of short bursts is typically
comparable to, or even larger than the number density of long bursts; (2) short
bursts explode into a density profile, n(r)\alpha r^{-2} or (3) the prompt
gamma-ray fluence depends on the density of the external medium. We therefore
find it likely that either basic assumptions on the properties of the
circumburst environment of short GRBs or else the standard models of GRB
emission must be re-examined. We believe that the most likely solution is that
the ambient density surrounding typical short bursts is higher than has
generally been expected: a typical value of ~1 per cm^{-3} is indicated.


title:
Solitons in Bose-Einstein Condensates with time-dependent atomic
  scattering length in an expulsive parabolic and complex potential

abstract:
  We present two families of analytical solutions of the one-dimensional
nonlinear Schr\"{o}dinger equation which describe the dynamics of bright and
dark solitons in Bose-Einstein condensates (BECs) with the time-dependent
interatomic interaction in an expulsive parabolic and complex potential. We
also demonstrate that the lifetime of both a bright soliton and a dark soliton
in BECs can be extended by reducing both the ratio of the axial oscillation
frequency to radial oscillation frequency and the loss of atoms. It is
interested that a train of bright solitons may be excited with a strong enough
background. An experimental protocol is further designed for observing this
phenomenon.


title:
Stabilization under shared communication with message losses and its
  limitations

abstract:
  We consider a synthesis problem for a remotely controlled linear system where
the communication is constrained because of the shared and unreliable nature of
the channel. Modeling the constraints by a periodic transmission scheme and
random message losses, we present an H-infinity design framework and study the
limitations in the communication required for stabilization.


title:
The Flattened Dark Matter Halo of M31 as Deduced from the Observed HI
  Scale Heights

abstract:
  In this paper, we use the outer-galactic HI scale height data as well as the
observed rotation curve as constraints to determine the halo density
distribution of the Andromeda galaxy (M31). We model the galaxy as a
gravitationally-coupled system of stars and gas, responding to the external
force-field of a known Hernquist bulge and the dark matter halo, the density
profile of the latter being characterized by four free parameters. The
parameter space of the halo is optimized so as to match the observed HI
thickness distribution as well as the rotation curve on an equal footing,
unlike the previous studies of M31 which were based on rotation curves alone.
We show that an oblate halo, with an isothermal density profile, provides the
best fit to the observed data. This gives a central density of 0.011 M_sun
/pc^3, a core radius of 21 kpc, and an axis ratio of 0.4. The main result from
this work is the flattened dark matter halo for M31, which is required to match
the outer galactic HI scale height data. Interestingly, such flattened halos
lie at the most oblate end of the distribution of halo shapes found in recent
cosmological simulations.


title: Long range Josephson coupling through ferromagnetic graphene

abstract:
  We study the Josephson effect in graphene-based ballistic
superconductor-ferromagnet-superconductor (SFS) junctions. We find an
oscillatory Josephson coupling $I_c R_N$ of F graphene whose amplitude is
nonvanishing for a half-metallic graphene, increases for the exchange fields
$h$ above the Fermi energy $E_{F}$ and shows only a slow damping at strong
exchange fields $h\gg E_{F}$. We interpret this long range Josephson coupling
as the result of the exchange mediated Andreev-Klein process at FS interfaces
which enhances the induced antiparallel-spin superconducting correlations in F
graphene by increasing $h$ above $E_{F}$. We further demonstrate the existence
of regular temperature induced transitions between 0 and $\pi$ couplings in the
plane of $T$ and $h$ where the phase boundaries have distinct shapes at the two
regimes of $h$ below and above $E_{F}$.


title: More super Schrodinger algebras from psu(2,2|4)

abstract:
  We discuss super Schrodinger algebras with less supercharges from N=4
superconformal algebra psu(2,2|4). Firstly N=2 and N=1 superconformal algebras
are constructed from the psu(2,2|4) via projection operators. Then a super
Schrodinger subalgebra is found from each of them. The one obtained from N=2
has 12 supercharges with su(2)^2 x u(1) and the other from N=1 has 6
supercharges with u(1)^3,. By construction, those are still subalgebras of
psu(2,2|4). Another super Schrodinger algebra, which preserves 6 supercharges
with a single u(1) symmetry, is also obtained from N=1 superconformal algebra
su(2,2|1). In particular, it coincides with the symmetry of N=2
non-relativistic Chern-Simons matter system in three dimensions.


title: Evolution of Anisotropies in Eddington-Born-Infeld Cosmology

abstract:
  Recently a Born-Infeld action for dark energy and dark matter that uses
additional affine connections was proposed. At background level, it was shown
that the new proposal can mimic the standard cosmological evolution. In Bianchi
cosmologies, contrary to the scalar field approach (e.g., Chaplygin gas), the
new approach leads to anisotropic pressure, raising the issues of stability of
the isotropic solution under anisotropic perturbations and, being it stable,
how the anisotropies evolve. In this work, the Eddington-Born-Infeld proposal
is extended to a Bianchi type I scenario and residual post-inflationary
anisotropies are shown to decay in time. Moreover, it is shown that the shears
decay following a damped oscillatory pattern, instead of the standard
exponential-like decay. Allowing for some fine tuning on the initial
conditions, standard theoretical bounds on the shears can be avoided.


title: Quantum efficiency of binary-outcome detectors of solid-state qubits

abstract:
  We discuss definitions of the quantum efficiency for binary-outcome qubit
detectors with imperfect fidelity, focusing on the subclass of quantum
non-demolition detectors. Quantum efficiency is analyzed for several models of
detectors, including indirect projective measurement, linear detector in
binary-outcome regime, detector of the superconducting phase qubit, and
detector based on tunneling into continuum.


title: A Quiver Construction of Symmetric Crystals

abstract:
  In the recent papers with Masaki Kashiwara, the author introduced the notion
of symmetric crystals and presented the Lascoux-Leclerc-Thibon-Ariki type
conjectures for the affine Hecke algebras of type $B$. Namely, we conjectured
that certain composition multiplicities and branching rules for the affine
Hecke algebras of type $B$ are described by using the lower global basis of
symmetric crystals of $V_\theta(\lambda)$. In this paper, we prove the
existence of crystal bases and global bases of $V_\theta(0)$ for any symmetric
quantized Kac-Moody algebra by using a geometry of quivers (with a Dynkin
diagram involution). This is analogous to George Lusztig's geometric
construction of $U_v^-$ and its lower global basis.


title: High energy gamma-rays from massive binary systems

abstract:
  During last years a few massive binary systems have been detected in the TeV
gamma-rays. This gamma-ray emission is clearly modulated with the orbital
periods of these binaries suggesting its origin inside the binary system. In
this paper we summarize the anisotropic IC e-p pair cascade model as likely
explanation of these observations. We consider scenarios in which particles are
accelerated to relativistic energies, either due to the presence of an
energetic pulsar inside the binary, or as a result of accretion process onto
the compact object during which the jet is launched from the inner part of the
accretion disk, or in collisions of stellar winds from the massive companions.


title: Chromogeometry

abstract:
  Chromogeometry brings together Euclidean geometry (called blue) and two
relativistic geometries (called red and green), in a surprising three-fold
symmetry. We show how the red and green `Euler lines' and `nine-point circles'
of a triangle interact with the usual blue ones, and how the three orthocenters
form an associated triangle with interesting collinearities. This is developed
in the framework of rational trigonometry using quadrance and spread instead of
distance and angle. The former are more suitable for relativistic geometries.


title: Swelling of particle-encapsulating random manifolds

abstract:
  We study the statistical mechanics of a closed random manifold of fixed area
and fluctuating volume, encapsulating a fixed number of noninteracting
particles. Scaling analysis yields a unified description of such swollen
manifolds, according to which the mean volume gradually increases with particle
number, following a single scaling law. This is markedly different from the
swelling under fixed pressure difference, where certain models exhibit
criticality. We thereby indicate when the swelling due to encapsulated
particles is thermodynamically inequivalent to that caused by fixed pressure.
The general predictions are supported by Monte Carlo simulations of two
particle-encapsulating model systems -- a two-dimensional self-avoiding ring
and a three-dimensional self-avoiding fluid vesicle. In the former the
particle-induced swelling is thermodynamically equivalent to the
pressure-induced one whereas in the latter it is not.


title:
X-ray study of structural domains in the near-surface region of
  SrTiO3-substrates with Y0.6Pr0.4Ba2Cu3O7$ / La2/3Ca1/3MnO3 superlattices
  grown on top

abstract:
  We investigated with synchrotron x-ray diffraction and reflectometry the
formation of structural domains in the near-surface region of single
crystalline SrTiO3 (001) substrates with Y0.6Pr0.4Ba2Cu3O7 / La2/3Ca1/3MnO3
superlattices grown on top. We find that the antiferrodistortive
cubic-to-tetragonal transition, which occurs at T_STO = 104K in the bulk and at
a considerably higher temperature of at least 120K in the surface region of
SrTiO3, has only a weak influence on the domain formation. The strongest
changes occur instead in the vicinitiy of the tetragonal-to-orthorhombic
transition in SrTiO3 around 65K, where pronounced surface facets develop that
reach deep (at least several micrometers) into the SrTiO3 substrate. These
micrometer-sized facets are anisotropic and tilted with respect to one another
by up to 0.5deg along the shorter direction. Finally, we find that a third
structural transition below 30K gives rise to significant changes in the spread
of the c-axis parameters. Overall, our data provide evidence for a strong
mutual interaction between the stuctural properties of the SrTiO3 surface and
the multilayer grown on top.


title: Divisor and Totient Functions Estimates

abstract:
  New unconditional estimates of the divisor and totient functions are
contributed to the literature. These results are consistent with the Riemann
hypothesis and seem to solve the Nicolas inequality for all sufficiently large
integers.


title: A noncommutative extended de Finetti theorem

abstract:
  The extended de Finetti theorem characterizes exchangeable infinite random
sequences as conditionally i.i.d. and shows that the apparently weaker
distributional symmetry of spreadability is equivalent to exchangeability. Our
main result is a noncommutative version of this theorem.
  In contrast to the classical result of Ryll-Nadzewski, exchangeability turns
out to be stronger than spreadability for infinite noncommutative random
sequences. Out of our investigations emerges noncommutative conditional
independence in terms of a von Neumann algebraic structure closely related to
Popa's notion of commuting squares and K\"ummerer's generalized Bernoulli
shifts. Our main result is applicable to classical probability, quantum
probability, in particular free probability, braid group representations and
Jones subfactors.


title:
Dependence of vertical cutoff rigidities and magnetospheric transmission
  on empiric parameters

abstract:
  Using dynamic paraboloid model of Earth's magnetosphere, a large set of
particles' trajectory computations was performed. Based on its result, the
numerical algorithm for calculating effective cutoff rigidity dependence on
empiric parameters has been developed for further use in magnetospheric
transmission calculations.


title:
Magnetic field induced transitions in multiferroic TbMnO3 probed by
  resonant and non-resonant X-ray diffraction

abstract:
  Multiferroic TbMnO3 is investigated using x-ray diffraction in high magnetic
fields. Measurements on first and second harmonic structural reflections due to
modulations induced by the Mn and Tb magnetic order are presented as function
of temperature and field oriented along the a and b-directions of the crystal.
The relation to changes in ordering of the rare earth moments in applied field
is discussed. Observations below T_N(Tb) without and with applied magnetic
field point to a strong interaction of the rare earth order, the Mn moments and
the lattice. Also, the incommensurate to commensurate transition of the wave
vector at the critical fields is discussed with respect to the Tb and Mn
magnetic order and a phase diagram on basis of these observations for magnetic
fields H||a and H||b is presented. The observations point to a complicated and
delicate magneto-elastic interaction as function of temperature and field.


title:
Strong and electroweak NLO corrections to Higgs-boson production in
  vector-boson fusion at the LHC

abstract:
  We present results on the strong and electroweak NLO corrections to the
production of a Higgs boson plus two hard jets via weak interactions at the
LHC. The calculation includes all weak-boson fusion and quark-antiquark
annihilation diagrams as well as all related interferences. We discuss
corrections of different origin (QCD corrections of vector-boson-fusion type
and interferences, electroweak corrections induced by quark or photonic initial
states, heavy-Higgs-boson effects, etc.) and give some new results for
distributions for a Higgs-boson mass of 200 GeV. The electroweak corrections
are of the same size as the QCD corrections, viz. typically at the level of
5-10% for a Higgs-boson mass up to \sim 700 GeV. In general, they do not simply
rescale differential distributions, but induce distortions at the level of 10%.
The discussed corrections have been implemented in a flexible Monte Carlo event
generator.


title: Graphene based superconducting quantum point contacts

abstract:
  We investigate the Josephson effect in the graphene nanoribbons of length $L$
smaller than the superconducting coherence length and an arbitrary width $W$.
We find that in contrast to an ordinary superconducting quantum point contact
(SQPC) the critical supercurrent $I_c$ is not quantized for the nanoribbons
with smooth and armchair edges. For a low concentration of the carriers $I_c$
decreases monotonically with lowering $W/L$ and tends to a constant minimum for
a narrow nanoribbon with $W\lesssim L$. The minimum $I_c$ is zero for the
smooth edges but $e\Delta_{0}/\hbar$ for the armchair edges. At higher
concentrations of the carriers this monotonic variation acquires a series of
peaks. Further analysis of the current-phase relation and the Josephson
coupling strength $I_cR_N$ in terms of $W/L$ and the concentration of carriers
revels significant differences with those of an ordinary SQPC. On the other
hand for a zigzag nanoribbon we find that, similar to an ordinary SQPC, $I_c$
is quantized but to the half-integer values $(n+1/2)4e\Delta_{0}/\hbar$.


title:
On multi F-nomial coefficients and Inversion formula for F-nomial
  coefficients

abstract:
  In response to [6], we discover the looked for inversion formula for F-nomial
coefficients. Before supplying its proof, we generalize F-nomial coefficients
to multi F-nomial coefficients and we give their combinatorial interpretation
in cobweb posets language, as the number of maximal-disjoint blocks of the form
sP_{k_1,k_2,...,k_s} of layer <Phi_1-->Phi_n>. Then we present inversion
formula for F-nomial coefficients using multi F-nomial coefficients for all
cobweb-admissible sequences. To this end we infer also some identities as
conclusions of that inversion formula for the case of binomial, Gaussian and
Fibonomial coefficients.


title: Ab-initio Study on the Magnetic Structures in the Ordered Mn3Pt Alloy

abstract:
  We study the electronic states of the magnetically ordered Mn3Pt alloy within
the density functional theory. Mn3Pt has been believed that one third of Mn
atoms have no magnetic moment in an antiferromagnetic phase (so-called the
F-phase) realized in the temperature range of 400 K < T < 475 K. We show that
this experimentally suggested spin configuration is energetically so much
unfavorable that it would be irrelevant to the F-phase. We discuss the
possibility that the spin moments on the one third of Mn atoms are not
paramagnetic but thermally fluctuating in the F-phase. The present results have
an immediate connection with the recent neutron scattering study [T. Ikeda and
Y. Tsunoda, J. Phys. Soc. Jpn., vol. 72, pp. 2614-2621, October. 2003.].


title:
Four-node Relay Network with Bi-directional Traffic Employing Wireless
  Network Coding with Pre-cancellation

abstract:
  Network coding has the potential to improve the overall throughput of a
network by combining different streams of data and forwarding them. In wireless
networks, the wireless channel provide an excellent medium for physical layer
network coding as signals from different transmitters are combined
automatically by the wireless channel. In such scenarios, it would be
interesting to investigate protocols and algorithms which can optimally relay
information. In this paper, we look at a four-node two-way or bidirectional
relay network, and propose a relay protocol which can relay information
efficiently in this network.


title:
Bi-Directional Multi-Antenna Relay Communications with Wireless Network
  Coding

abstract:
  In this paper, we consider a two-way or bidirectional communications system
with a relay equipped with multiple antennas. We show that when the downlink
channel state information is not known at the relay, the benefit of having
additional antennas at the relay can only be obtained by using decode and
forward (DF) but not amplify and forward (AF). The gain becomes significant
when we employ transmit diversity together with wireless network coding. We
also demonstrate how the performance of such system can be improved by
performing antenna selection at the relay. Our results show that if downlink
channel state information is known at the relay, network coding may not provide
additional gain than simple antenna selection scheme.


title: Comparative Study of SVD and QRS in Closed-Loop Beamforming Systems

abstract:
  We compare two closed-loop beamforming algorithms, one based on singular
value decomposition (SVD) and the other based on equal diagonal QR
decomposition (QRS). SVD has the advantage of parallelizing the MIMO channel,
but each of the sub-channels has different gain. QRS has the advantage of
having equal diagonal value for the decomposed channel, but the subchannels are
not fully parallelized, hence requiring successive interference cancellation or
other techniques to perform decoding. We consider a closed-loop system where
the feedback information is a unitary beamforming matrix. Due to the discrete
and limited modulation set, SVD may have inferior performance to QRS when no
modulation set selection is performed. However, if the selection of modulation
set is performed optimally, we show that SVD can outperform QRS.


title:
Comparative Study of Open-loop Transmit Diversity Schemes for Four
  Transmit Antennas in Coded OFDM Systems

abstract:
  We compare four open-loop transmit diversity schemes in a coded Orthogonal
Frequency Division Multiplexing (OFDM) system with four transmit antennas,
namely cyclic delay diversity (CDD), Space-Time Block Code (STBC, Alamouti code
is used) with CDD, Quasi-Orthogonal STBC (QO-STBC) and
Minimum-Decoding-Complexity QOSTBC (MDC-QOSTBC). We show that in a coded system
with low code rate, a scheme with spatial transmit diversity of second order
can achieve similar performance to that with spatial transmit diversity of
fourth order due to the additional diversity provided by the phase shift
diversity with channel coding. In addition, we also compare the decoding
complexity and other features of the above four mentioned schemes, such as the
requirement for the training signals, hybrid automatic retransmission request
(HARQ), etc. The discussions in this paper can be readily applied to future
wireless communication systems, such as mobile systems beyond 3G, IEEE 802.11
wireless LAN, or IEEE 802.16 WiMAX, that employ more than two transmit antennas
and OFDM.


title: On Lehner's `free' noncommutative analogue of De Finetti's theorem

abstract:
  Inspired by Lehner's results on exchangeability systems we define `weak
conditional freeness' and `conditional freeness' for stationary processes in an
operator algebraic framework of noncommutative probability. We show that these
two properties are equivalent and thus the process embeds into a von Neumann
algebraic amalgamated free product over the fixed point algebra of the
stationary process.


title:
A Continuous Vector-Perturbation for Multi-Antenna Multi-User
  Communication

abstract:
  The sum-rate of the broadcast channel in a multi-antenna multi-user
communication system can be achieved by using precoding and adding a regular
perturbation to the data vector. The perturbation can be removed by the modulus
function, thus transparent to the receiver, but the information of the
precoding matrix is needed to decode the symbols. This paper proposes a new
technique to improve the multi-antenna multi-user system, by adding a
continuous perturbation to the data vector without the need of information on
the precoding matrix to be known at the receiver. The perturbation vector will
be treated as interference at the receiver, thus it will be transparent to the
receiver. The derivation of the continuous vector perturbation is provided by
maximizing the signal-to-interference plus noise ratio or minimizing the
minimum mean square error of the received signal.


title:
Simultaneous Absolute Timing of the Crab Pulsar at Radio and Optical
  Wavelengths

abstract:
  The Crab pulsar emits across a large part of the electromagnetic spectrum.
Determining the time delay between the emission at different wavelengths will
allow to better constrain the site and mechanism of the emission. We have
simultaneously observed the Crab Pulsar in the optical with S-Cam, an
instrument based on Superconducting Tunneling Junctions (STJs) with $\mu$s time
resolution and at 2 GHz using the Nan\c{c}ay radio telescope with an instrument
doing coherent dedispersion and able to record giant pulses data. We have
studied the delay between the radio and optical pulse using simultaneously
obtained data therefore reducing possible uncertainties present in previous
observations. We determined the arrival times of the (mean) optical and radio
pulse and compared them using the tempo2 software package. We present the most
accurate value for the optical-radio lag of 255 $\pm$ 21 $\mu$s and suggest the
likelihood of a spectral dependence to the excess optical emission asociated
with giant radio pulses.


title: A reduction method for noncommutative $L_p$-spaces and applications

abstract:
  We consider the reduction of problems on general noncommutative $L_p$-spaces
to the corresponding ones on those associated with finite von Neumann algebras.
The main tool is a unpublished result of the first named author which
approximates any noncommutative $L_p$-space by tracial ones. We show that under
some natural conditions a map between two von Neumann algebras extends to their
crossed products by a locally compact abelian group or to their noncommutative
$L_p$-spaces. We present applications of these results to the theory of
noncommutative martingale inequalities by reducing most recent general
noncommutative martingale/ergodic inequalities to those in the tracial case.


title: White Noise Calculus and Hamiltonian of a Quantum Stochastic Process

abstract:
  A white noise quantum stochastic calculus is developped using classical
measure theory as mathematical tool. Wick's and Ito's theorems have been
established. The simplest quantum stochastic differential equation has been
solved, unicity and the conditions for unitarity have been proven. The
Hamiltonian of the associated one parameter strongly continuous group has been
calculated explicitely.


title:
One-to-one full scale simulations of laser wakefield acceleration using
  QuickPIC

abstract:
  We use the quasi-static particle-in-cell code QuickPIC to perform full-scale,
one-to-one LWFA numerical experiments, with parameters that closely follow
current experimental conditions. The propagation of state-of-the-art laser
pulses in both preformed and uniform plasma channels is examined. We show that
the presence of the channel is important whenever the laser self-modulations do
not dominate the propagation. We examine the acceleration of an externally
injected electron beam in the wake generated by 10 J laser pulses, showing that
by using ten-centimeter-scale plasma channels it is possible to accelerate
electrons to more than 4 GeV. A comparison between QuickPIC and 2D OSIRIS is
provided. Good qualitative agreement between the two codes is found, but the 2D
full PIC simulations fail to predict the correct laser and wakefield
amplitudes.


title: Recombination Lines of Embedded Star Clusters

abstract:
  Aims. We are trying to probe conditions in the youngest super star clusters,
those still embedded in dense obscuring clouds. Methods. The hydrogen
recombination lines in the radio and infrared can be observed through the
obscuration, as the optical and UV lines cannot, and give us the kinematics of
the ionized gas. Results. The line profiles of the clusters resemble
superpositions of the lines of many very young ultra-compact or hyper-compact
HII regions. This can be explained if each OB star is individually embedded in
dense material which it is accreting, even as it ionizes. Conclusions. We
speculate on what this implies for the status and evolutionary state of cluster
stars.


title:
A Note on the Use of the Woodbury Formula To Solve Cyclic Block
  Tri-Diagonal and Cyclic Block Penta-diagonal Linear Systems of Equations

abstract:
  The article presents the theoretical background of the algorithms for solving
cyclic block tridiagonal and cyclic block penta-diagonal systems of linear
algebraic equations present in ref [1] and [2]. The theory is based on the
Woodbury formula.


title: Spectroscopic and photometric variability of the O9.5Vp star HD93521

abstract:
  The line profile variability and photometric variability of the O9.5 Vp star
HD93521 are examined in order to establish the properties of the non-radial
pulsations in this star. Fourier techniques are used to characterize the
modulations of the He I 5876, 6678 and H-alpha lines in several spectroscopic
time series and to search for variations in a photometric time series. Our
spectroscopic data confirm the existence of two periods of 1.75 and 2.89 hr.
The line profiles, especially those affected by emission wings, exhibit also
modulations on longer time scales, but these are epoch-dependent and change
from line to line. Unlike previous claims, we find no unambiguous signature of
the rotational period in our data, nor of a third pulsation period
(corresponding to a frequency of 2.66 day$^{-1}$). HD 93521 very likely
exhibits non-radial pulsations with periods of 1.75 and 2.89 hr with $l \simeq
8 \pm 1$ and $l \simeq 4 \pm 1$ respectively. No significant signal is found in
the first harmonics of these two periods. The 2.89 hr mode is seen at all
epochs and in all lines investigated, while the visibility of the 1.75 hr mode
is clearly epoch dependent. Whilst light variations are detected, their
connection to these periodicities is not straightforward.


title: Recurrence Relations for Strongly q-Log-Convex Polynomials

abstract:
  We consider a class of strongly q-log-convex polynomials based on a
triangular recurrence relation with linear coefficients, and we show that the
Bell polynomials, the Bessel polynomials, the Ramanujan polynomials and the
Dowling polynomials are strongly q-log-convex. We also prove that the Bessel
transformation preserves log-convexity.


title:
The role of initial conditions in the ageing of the long-range spherical
  model

abstract:
  The kinetics of the long-range spherical model evolving from various initial
states is studied. In particular, the large-time auto-correlation and -response
functions are obtained, for classes of long-range correlated initial states,
and for magnetized initial states. The ageing exponents can depend on certain
qualitative features of initial states. We explicitly find the conditions for
the system to cross over from ageing classes that depend on initial conditions
to those that do not.


title:
Environment and mass dependencies of galactic $\lambda$ spin parameter:
  cosmological simulations and SDSS galaxies compared

abstract:
  We use a sample of galaxies from the Sloan Digital Sky Survey (SDSS) to
search for correlations between the $\lambda$ spin parameter and the
environment and mass of galaxies. In order to calculate the total value of
$\lambda$ for each observed galaxy, we employed a simple model of the dynamical
structure of the galaxies which allows a rough estimate of the value of
$\lambda$ using only readily obtainable observables from the luminous galaxies.
Use of a large volume limited sample (upwards of 11,000) allows reliable
inferences of mean values and dispersions of $\lambda$ distributions. We find,
in agreement with some N-body cosmological simulations, no significant
dependence of $\lambda$ on the environmental density of the galaxies. For the
case of mass, our results show a marked correlation with $\lambda$, in the
sense that low mass galaxies present both higher mean values of $\lambda$ and
associated dispersions, than high mass galaxies. This last direct empirical
result, at odds with expectations from N-body cosmological simulations,
provides interesting constrain on the mechanisms of galaxy formation and
acquisition of angular momentum, a valuable test for cosmological models.


title:
Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY
  model

abstract:
  We study the robustness of multipartite entanglement of the ground state of
the one-dimensional spin 1/2 XY model with a transverse magnetic field in the
presence of thermal excitations, by investigating a threshold temperature,
below which the thermal state is guaranteed to be entangled. We obtain the
threshold temperature based on the geometric measure of entanglement of the
ground state. The threshold temperature reflects three characteristic lines in
the phase diagram of the correlation function. Our approach reveals a region
where multipartite entanglement at zero temperature is high but is thermally
fragile, and another region where multipartite entanglement at zero temperature
is low but is thermally robust.


title: Multiboson Logical Operators, Laughlin States, and Virasoro Algebra

abstract:
  Leading idea of this manuscript is to discuss the structure and the deep
correlations among different quantum physical systems, and to explore how such
correlations bear on the capacity of the systems to encode and manipulate
information. In particular, the role of logical operators constructed out of
multi-boson (and possibly fractionary-boson) operators is analyzed in its
relation on the one hand with the algebra of diffeomorphisms of the circle, on
the other with the physical properties of the fractional quantum Hall effect
(described in terms of Laughlin states) and of its many electron representation
in terms of the Chern-Simons topological quantum field theory.


title: Round Trip Time Prediction Using the Symbolic Function Network Approach

abstract:
  In this paper, we develop a novel approach to model the Internet round trip
time using a recently proposed symbolic type neural network model called
symbolic function network. The developed predictor is shown to have good
generalization performance and simple representation compared to the multilayer
perceptron based predictors.


title:
Magnetic field effect on polarization and dispersion of
  exciton-polaritons in planar microcavities

abstract:
  The non-local dielectric response theory is extended to describe oblique
reflection of light from quantum wells subjected to the magnetic field. This
allows us to calculate the dispersion and polarization of the exciton-polariton
modes in semiconductor microcavities in the presence of a magnetic field normal
to the plane of the structure. We show that due to the interplay between the
exciton Zeeman splitting and TE-TM splitting of the photon modes, four
polariton dispersion branches are formed with a polarization gradually changing
from circular in the exciton-like part to linear in the photon-like part of
each branch. Faraday rotation in quantum microcavities is shown to be strongly
enhanced as compared with the rotation in quantum wells.


title: Against Tachyophobia

abstract:
  We examine the possible extension of the parameter space of the minimal
supersymmetric extension of the Standard Model (MSSM), as expressed via the
renormalization-group equations in terms of universal soft
supersymmetry-breaking terms at the unification scale, to include tachyonic
input scalar masses. Many models with negative masses-squared for scalars at
the unification scale may be viable because the small sizes of the
masses-squared allow them to change signs during the renormalization-group
evolution to the electroweak scale. However, in many cases, there is, in
addition to the electroweak vacuum, a much deeper high-scale vacuum located
along some F- and D-flat direction in the effective potential for the MSSM. We
perform a numerical search for such vacua in both the CMSSM and the NUHM. We
discuss the circumstances under which the existence of such a deep charge- and
color-breaking vacuum is consistent with standard cosmology. A crucial role is
played by the inflation--induced scalar masses, whereas thermal effects are
often irrelevant.


title:
Final remarks to our study of $\eta$-photoproduction on protons in the
  resonance region

abstract:
  The properties of previously discovered nucleon resonances are amended basing
on the recent and more detailed experimental data about photoproduction of
$\eta$-mesons on protons.


title: Recursive Code Construction for Random Networks

abstract:
  A modification of Koetter-Kschischang codes for random networks is presented
(these codes were also studied by Wang et al. in the context of authentication
problems). The new codes have higher information rate, while maintaining the
same error-correcting capabilities. An efficient error-correcting algorithm is
proposed for these codes.


title: Crawling beneath the free surface: Water snail locomotion

abstract:
  Land snails move via adhesive locomotion. Through muscular contraction and
expansion of their foot, they transmit waves of shear stress through a thin
layer of mucus onto a solid substrate. Since a free surface cannot support
shear stress, adhesive locomotion is not a viable propulsion mechanism for
water snails that travel inverted beneath the free surface. Nevertheless, the
motion of the freshwater snail, Sorbeoconcha physidae, is reminiscent of that
of its terrestrial counterparts, being generated by the undulation of the snail
foot that is separated from the free surface by a thin layer of mucus. Here, a
lubrication model is used to describe the mucus flow in the limit of small
amplitude interfacial deformations. By assuming the shape of the snail foot to
be a traveling sine wave and the mucus to be Newtonian, an evolution equation
for the interface shape is obtained and the resulting propulsive force on the
snail is calculated. This propulsive force is found to be non-zero for moderate
values of Capillary number but vanishes in the limits of high and low Capillary
numbers. Physically, this force arises because the snail's foot deforms the
free surface, thereby generating curvature pressures and lubrication flows
inside the mucus layer that couple to the topography of the foot.


title: Protein Structure Prediction Using Basin-Hopping

abstract:
  Associative memory Hamiltonian structure prediction potentials are not overly
rugged, thereby suggesting their landscapes are like those of actual proteins.
In the present contribution we show how basin-hopping global optimization can
identify low-lying minima for the corresponding mildly frustrated energy
landscapes. For small systems the basin-hopping algorithm succeeds in locating
both lower minima and conformations closer to the experimental structure than
does molecular dynamics with simulated annealing. For large systems the
efficiency of basin-hopping decreases for our initial implementation, where the
steps consist of random perturbations to the Cartesian coordinates. We
implemented umbrella sampling using basin-hopping to further confirm when the
global minima are reached. We have also improved the energy surface by
employing bioinformatic techniques for reducing the roughness or variance of
the energy surface. Finally, the basin-hopping calculations have guided
improvements in the excluded volume of the Hamiltonian, producing better
structures. These results suggest a novel and transferable optimization scheme
for future energy function development.


title: Opportunistic Interference Alignment in MIMO Interference Channels

abstract:
  We present two interference alignment techniques such that an opportunistic
point-to-point multiple input multiple output (MIMO) link can reuse, without
generating any additional interference, the same frequency band of a similar
pre-existing primary link. In this scenario, we exploit the fact that under
power constraints, although each radio maximizes independently its rate by
water-filling on their channel transfer matrix singular values, frequently, not
all of them are used. Therefore, by aligning the interference of the
opportunistic radio it is possible to transmit at a significant rate while
insuring zero-interference on the pre-existing link. We propose a linear
pre-coder for a perfect interference alignment and a power allocation scheme
which maximizes the individual data rate of the secondary link. Our numerical
results show that significant data rates are achieved even for a reduced number
of antennas.


title: Searches for, and Properties of, New Charmonium-like States

abstract:
  I review the recent $B$-factory measurements of new states which, in some
cases, exhibit Charmonium-like properties, and in other cases suggest the
existence of a new spectroscopy. Several theoretical interpretations of the new
states have come to the fore although, at time of writing, we are no closer to
untangling the nature of most of the particles making up the observed new zoo
of states.


title: Correlating radii and electric monopole transitions of atomic nuclei

abstract:
  A systematic analysis of the spherical-to-deformed shape phase transition in
even-even rare-earth nuclei from $_{58}$Ce to $_{74}$W is carried out in the
framework of the interacting boson model. These results are then used to
calculate nuclear radii and electric monopole (E0) transitions with the same
effective operator. The influence of the hexadecapole degree of freedom ($g$
boson) on the correlation between radii and E0 transitions thus established, is
discussed.


title: Singularities in Speckled Speckle: Statistics

abstract:
  Random optical fields with two widely different correlation lengths generate
far field speckle spots that are themselves highly speckled. We call such
patterns speckled speckle, and study their critical points (singularities and
stationary points) using analytical theory and computer simulations. We find
anomalous spatial arrangements of the critical points and orders of magnitude
anomalies in their relative number densities, and in the densities of the
associated zero crossings.


title: Fine structure of anomalous dimensions in N=4 super Yang-Mills theory

abstract:
  Anomalous dimensions of high-twist Wilson operators in generic gauge theories
occupy a band of width growing logarithmically with their conformal spin. We
perform a systematic study of its fine structure in the autonomous SL(2)
subsector of the dilatation operator of planar N=4 super Yang-Mills theory
which is believed to be integrable to all orders in 't Hooft coupling. We
resort in our study on the framework of the Baxter equation to unravel the
properties of the ground state trajectory and the excited trajectories in the
spectrum. We use two complimentary approaches in our analysis based on the
asymptotic solution of the Baxter equation and on the semiclassical expansion
to work out the leading asymptotic expression for the trajectories in the upper
and lower part of the band and to find how they are modified by the
perturbative corrections.


title: Subcritical crack growth: the microscopic origin of Paris's law

abstract:
  We investigate the origin of Paris's law, which states that the velocity of a
crack at subcritical load grows like a power law, $da/dt \sim (\Delta K)^{m}$,
where $\Delta K$ is the stress intensity factor amplitude. Starting from a
damage accumulation function proportional to $(\Delta\sigma)^{\gamma}$,
$\Delta\sigma$ being the stress amplitude, we show analytically that the
asymptotic exponent $m$ can be expressed as a piecewise-linear function of the
%damage accumulation exponent $\gamma$, namely, $m=6-2\gamma$ for $\gamma <
\gamma_{c}$, and $m=\gamma$ for $\gamma \ge \gamma_{c}$, reflecting the
existence of a critical value $\gamma_{c}=2$. %In this way, here we discover
the existence of a critical %value $\gamma_{c}=2$ characterized by a scaling
law with a critical %exponent separating two regimes of different linear
functions $m %(\gamma)$. We performed numerical simulations to confirm this
result for finite sizes. Finally, we introduce bounded disorder in the breaking
thresholds and find that below $\gamma_{c}$ disorder is relevant, i.e., the
exponent $m$ is changed, while above $\gamma_{c}$ disorder is irrelevant.


title: Reflection matrices for the $U_{q}[sl(r|2m)^{(2)}]$ vertex model

abstract:
  The graded reflection equation is investigated for the
$U_{q}[sl(r|2m)^{(2)}]$ vertex model. We have found four classes of diagonal
solutions and twelve classes of non-diagonal ones. The number of free
parameters for some solutions depends on the number of bosonic and fermionic
degrees of freedom considered.


title: Non-linear theory of deformable superconductors

abstract:
  Interaction of the superconducting condensate with deformations of the
crystal lattice is formulated assuming the electrostatic potential of Bernoulli
type and the effect of strain on material parameters. In the isotropic
approximation it is shown that within the Ginzburg-Landau theory both
contributions can be recast into the local but non-linear interaction term of
the free energy.


title: Full quantum reconstruction of vortex states

abstract:
  We propose a complete tomographic reconstruction of any vortex state carrying
orbital angular momentum. The scheme determines the angular probability
distribution of the state at different times under free evolution. To represent
the quantum state we introduce a bona fide Wigner function defined on the
discrete cylinder, which is the natural phase space for the pair angle-angular
momentum. The feasibility of the proposal is addressed.


title:
Perspectives for inclusive quarkonium production in photon-photon
  collisions at the LHC

abstract:
  We report on the current status of knowledge on inclusive quarkonium
production in high-energy photon-photon collisions. As a perspective for the
LHC, we compute various production cross sections via direct photon-photon
fusion in ultra-peripheral pp, pA and AA collisions at the LHC using the
tree-level quarkonium amplitude generator MadOnia.


title: Optical properties of graphene

abstract:
  Reflectance and transmittance of graphene in the optical region are analyzed
as a function of frequency, temperature, and carrier density. We show that the
optical graphene properties are determined by the direct interband electron
transitions. The real part of the dynamic conductivity in doped graphene at low
temperatures takes the universal constant value, whereas the imaginary part is
logarithmically divergent at the threshold of interband transitions.


title: A hydrodynamical trigger mechanism for pulsar glitches

abstract:
  The standard explanation for large pulsar glitches involves transfer of
angular momentum from an internal superfluid component to the star's crust.
This model requires an instability to trigger the sudden unpinning of the
vortices by means of which the superfluid rotates. This Letter describes a new
instability that may play this role. The instability, which is associated with
the inertial r-modes of a superfluid neutron star, sets in once the rotational
lag in the system reaches a critical level. We demonstrate that our model is in
good agreement with observed glitch data, suggesting that the superfluid r-mode
instability may indeed be the mechanism that triggers large pulsar glitches.


title: Jamming versus Glass Transitions

abstract:
  Recent ideas based on the properties of assemblies of frictionless particles
in mechanical equilibrium provide a perspective of amorphous systems different
from that offered by the traditional approach originating in liquid theory. The
relation, if any, between these two points of view, and the relevance of the
former to the glass phase, has been difficult to ascertain. In this paper we
introduce a model for which both theories apply strictly: it exhibits on the
one hand an ideal glass transition and on the other `jamming' features
(fragility, soft modes) virtually identical to that of real systems. This
allows us to disentangle the different contents and domains of applicability of
the two physical phenomena.


title: Can neutrino viscosity drive the late time cosmic acceleration?

abstract:
  In this paper it has been shown that the neutrino bulk viscous stresses can
give rise to the late time acceleration of the universe. It is found that a
number of spatially flat FRW models with a negative deceleration parameter can
be constructed using neutrino viscosity and one of them mimics a $\Lambda$CDM
model. This does not require any exotic dark energy component or any
modification of gravity.


title: Quantum Democracy Is Possible

abstract:
  It is shown that, since an ultrafilter over an operator-algebraically finite
(i.e. isomorphic to the lattice of projectors of a finite Von Neumann algebra)
quantum logic is not necessarily principal, Arrow's Impossibility Theorem
doesn't extend to the quantum case.


title: Approximating Multi-Criteria Max-TSP

abstract:
  We present randomized approximation algorithms for multi-criteria Max-TSP.
For Max-STSP with k > 1 objective functions, we obtain an approximation ratio
of $1/k - \eps$ for arbitrarily small $\eps > 0$. For Max-ATSP with k objective
functions, we obtain an approximation ratio of $1/(k+1) - \eps$.