title: James Clerk Maxwell and the dynamics of astrophysical discs

abstract:
  Maxwell's investigations into the stability of Saturn's rings provide one of
the earliest analyses of the dynamics of astrophysical discs. Current research
in planetary rings extends Maxwell's kinetic theory to treat dense granular
gases of particles undergoing moderately frequent inelastic collisions. Rather
than disrupting the rings, local instabilities may be responsible for
generating their irregular radial structure. Accretion discs around black holes
or compact stars consist of a plasma permeated by a tangled magnetic field and
may be compared with laboratory fluids through an analogy that connects
Maxwell's researches in electromagnetism and viscoelasticity. A common theme in
this work is the appearance of a complex fluid with a dynamical constitutive
equation relating the stress in the medium to the history of its deformation.


title: An equivalent form of Young's inequality with upper bound

abstract:
  Young's integral inequality is complemented with an upper bound to the
remainder. The new inequality turns out to be equivalent to Young's inequality,
and the cases in which the equality holds become particularly transparent in
the new formulation.


title: Large deviations for the Boussinesq Equations under Random Influences

abstract:
  A Boussinesq model for the Benard convection under random influences is
considered as a system of stochastic partial differential equations. This is a
coupled system of stochastic Navier-Stokes equations and the transport equation
for temperature. Large deviations are proved, using a weak convergence approach
based on a variational representation of functionals of infinite dimensional
Brownian motion.


title:
Noncommutative Riemannian Geometry and Diffusion on Ultrametric Cantor
  Sets

abstract:
  An analogue of the Riemannian Geometry for an ultrametric Cantor set (C, d)
is described using the tools of Noncommutative Geometry. Associated with (C, d)
is a weighted rooted tree, its Michon tree. This tree allows to define a family
of spectral triples giving the Cantor set the structure of a noncommutative
Riemannian manifold. The family of spectral triples is indexed by the space of
choice functions which is shown to be the analogue of the sphere bundle of a
Riemannian manifold. The Connes metric coming from the Dirac operator D then
allows to recover the metric on C. The corresponding zeta function is shown to
have abscissa of convergence equal to the upper box dimension of (C, d). Taking
the residue at this singularity leads to the definition of a canonical
probability measure on C which in certain cases coincides with the Hausdorff
measure. This measure in turns induces a measure on the space of choices. Given
a choice, the commutator of D with a Lipschitz continuous function can be
intepreted as a directional derivative. By integrating over all choices, this
leads to the definition of an analogue of the Laplace-Beltrami operator. This
operator has compact resolvent and generates a Markov semigroup which plays the
role of a Brownian motion on C. This construction is applied to the simplest
case, the triadic Cantor set.


title: Strange Stars : An interesting member of the compact object family

abstract:
  We have studied strange star properties both at zero temperature and at
finite temperatures and searched signatures of strange stars in gamma-ray,
x-ray and radio astronomy. We have a set of Equations of State (EoS) for
strange quark matter (SQM) and solving the TOV equations, we get the structure
of strange stars. The maximum mass for a strange star decreases with the
increase of temperature, because at high temperatures, the EoS become softer.
One important aspect of strange star is that, surface tension depends on the
size and structure of the star and is significantly larger than the
conventional values. Moment of inertia is another important parameter for
compact stars as by comparing theoretical values with observed estimate, it is
possible to constrain the dense matter Equation of State. We hope that this
approach will help us to decide whether the members of the double pulsar system
PSR J0737-3039 are neutron stars or strange stars.


title: Some results on (a:b)-choosability

abstract:
  A solution to a problem of Erd\H{o}s, Rubin and Taylor is obtained by showing
that if a graph $G$ is $(a:b)$-choosable, and $c/d > a/b$, then $G$ is not
necessarily $(c:d)$-choosable. Applying probabilistic methods, an upper bound
for the $k^{th}$ choice number of a graph is given. We also prove that a
directed graph with maximum outdegree $d$ and no odd directed cycle is
$(k(d+1):k)$-choosable for every $k \geq 1$. Other results presented in this
article are related to the strong choice number of graphs (a generalization of
the strong chromatic number). We conclude with complexity analysis of some
decision problems related to graph choosability.


title: Observations of pulsars at 9 millimetres

abstract:
  The behaviour of the pulsar spectrum at high radio frequencies can provide
decisive information about the nature of the radio emission mechanism. We
report recent observations of a selected sample of pulsars at lambda=9mm (32
GHz) with the 100-m Effelsberg radio telescope.Three pulsars, PSR B0144+59, PSR
B0823+26, and PSR B2022+50, were detected for the first time at this frequency.
We confirm the earlier flux density measurements for a sample of six pulsars,
and we are able to place upper flux density limits for another 12 pulsars. We
find that all pulsar spectra have a simple form that can be described using
only three parameters, one of which is the lifetime of short nano-pulses in the
emission region.The study of the transition region from coherent to incoherent
emission needs further and more sensitive observations at even higher radio
frequencies.


title:
A remark on Frobenius characters for set representations of symmetric
  groups

abstract:
  For any set representation (permutation representation) of the symmetric
group $S_n$, we give combinatorial interpretation for coefficients of its
Frobenius character expanded in the basis of monomial symmetric functions.


title: Topology of generalized complex quotients

abstract:
  Consider the Hamiltonian action of a torus on a compact twisted generalized
complex manifold $M$. We first observe that Kirwan injectivity and surjectivity
hold for ordinary equivariant cohomology in this setting. Then we prove that
these two results hold for the twisted equivariant cohomology as well.


title: Interaction of hydrogen molecules with superconducting nanojunctions

abstract:
  In this paper the interaction of hydrogen molecules with atomic-sized
superconducting nanojunctions is studied. It is demonstrated by conductance
histogram measurements that the superconductors niobium, tantalum and aluminum
show a strong interaction with hydrogen, whereas for lead a slight interaction
is observed, and for tin and indium no significant interaction is detectable.
For Nb, Ta and Pb subgap method is applied to determine the transmission
eigenvalues of the nanojunctions in hydrogen environment. It is shown, that in
Nb and Ta the mechanical behavior of the junction is spectacularly influenced
by hydrogen reflected by extremely long conductance traces, but the electronic
properties based on the transmission eigenvalues are similar to those of pure
junctions. Evidences for the formation of a single-molecule bridge between the
electrodes -- as in recently studied platinum hydrogen system -- were not
found.


title: Impedance-matched low-pass stripline filters

abstract:
  We have constructed several impedance-matched low-pass filters using a
stripline geometry with a dissipative dielectric. The filters are compact,
simple to construct, and operate in cryogenic environments. The dissipative
dielectric consists of magnetically-loaded silicone or epoxy, which are
commercially available under the trade name Eccosorb. For a stripline length of
32 mm, the filters have a passband that extends from dc to a 3 dB bandwidth
between 0.3 and 0.8 GHz. The 3 dB bandwidth can be adjusted beyond this range
by changing the filter length. An extremely broad stopband at higher
frequencies, with attenuation exceeding 100 dB, is achieved along with a return
loss greater than 10 dB measured up to 40 GHz. This combination of high
attenuation and low reflected power across a broad stopband ensures that
spurious or unwanted signals outside the passband do not reach or return to the
device under test. This type of filter has applications in microwave frequency
measurements of sensitive non-linear devices such as superconducting heterodyne
mixers, quantum tunneling devices, and quantum computing elements.


title: Magnetotransport in the insulating regime of Mn doped GaAs

abstract:
  We consider transport in the insulating regime of GaMnAs. We calculate the
resistance, magnetoresitance and Hall effect, assuming that the Fermi energy is
in the region of localized states above the valence band mobility edge. Both
hopping and activated band transport contributions are included. The anomalous
Hall current from band states is very different from the hopping Hall current
and has extrinsic (skew) and intrinsic (Luttinger) contributions. Comparison
with experiment allows us to assess the degree to which band and hopping
contribution determine each of the three transport coefficients in a particular
temperature range. There are strong indications that the insulating state
transport in GaMnAs is controlled primarily by extended state, band edge,
transport rather than by variable range hopping, as reported in the literature.


title: Wave decay on convex co-compact hyperbolic manifolds

abstract:
  For convex co-compact hyperbolic quotients $X=\Gamma\backslash\hh^{n+1}$, we
analyze the long-time asymptotic of the solution of the wave equation $u(t)$
with smooth compactly supported initial data $f=(f_0,f_1)$. We show that, if
the Hausdorff dimension $\delta$ of the limit set is less than $n/2$, then
$u(t) = C_\delta(f) e^{(\delta-\ndemi)t} / \Gamma(\delta-n/2+1) +
e^{(\delta-\ndemi)t} R(t)$ where $C_{\delta}(f)\in C^\infty(X)$ and
$||R(t)||=\mc{O}(t^{-\infty})$. We explain, in terms of conformal theory of the
conformal infinity of $X$, the special cases $\delta\in n/2-\nn$ where the
leading asymptotic term vanishes. In a second part, we show for all $\eps>0$
the existence of an infinite number of resonances (and thus zeros of Selberg
zeta function) in the strip $\{-n\delta-\eps<\Re(\la)<\delta\}$. As a byproduct
we obtain a lower bound on the remainder $R(t)$ for generic initial data $f$.


title:
GRB 070714B - Discovery of the Highest Spectroscopically Confirmed Short
  Burst Redshift

abstract:
  Gemini Nod & Shuffle spectroscopy on the host of the short GRB 070714B shows
a single emission line at 7167 angstroms which, based on a grizJHK photometric
redshift, we conclude is the 3727 angstrom [O II] line. This places the host at
a redshift of z=.923 exceeding the previous record for the highest
spectroscopically confirmed short burst redshift of z=.546 held by GRB 051221.
This dramatically moves back the time at which we know short bursts were being
formed, and suggests that the present evidence for an old progenitor population
may be observationally biased.


title:
Fixed points in the family of convex representations of a maximal
  monotone operator

abstract:
  Any maximal monotone operator can be characterized by a convex function. The
family of such convex functions is invariant under a transformation connected
with the Fenchel-Legendre conjugation. We prove that there exist a convex
representation of the operator which is a fixed point of this conjugation.


title: Fourier-Based Spectral Analysis with Adaptive Resolution

abstract:
  Despite being the most popular methods of data analysis, Fourier-based
techniques suffer from the problem of static resolution that is currently
believed to be a fundamental limitation of the Fourier Transform. Although
alternative solutions overcome this limitation, none provide the simplicity,
versatility, and convenience of the Fourier analysis. The lack of convenience
often prevents these alternatives from replacing classical spectral methods -
even in applications that suffer from the limitation of static resolution.
  This work demonstrates that, contrary to the generally accepted belief, the
Fourier Transform can be generalized to the case of adaptive resolution. The
generalized transform provides backward compatibility with classical spectral
techniques and introduces minimal computational overhead.


title: The many streams of the Magellanic Stream

abstract:
  We present results from neutral hydrogen (HI) observations of the tip of the
Magellanic Stream (MS), obtained with the Arecibo telescope as a part of the
on-going survey by the Consortium for Galactic studies with the Arecibo L-band
Feed Array. We find four large-scale, coherent HI streams, extending
continously over a length of 20 degrees, each stream possessing different
morphology and velocity gradients. The newly discovered streams provide strong
support for the tidal model of the MS formation by Connors et al. (2006), which
suggested a spatial and kinematic bifurcation of the MS. The observed
morphology and kinematics suggest that three of these streams could be
interpreted as a 3-way splitting of the main MS filament, while the fourth
stream appears much younger and may have originated from the Magellanic Bridge.
  We find an extensive population of HI clouds at the tip of the MS. Two thirds
of clouds have an angular size in the range 3.5'--10'. We interpret this as
being due to thermal instability, which would affect a warm tail of gas
trailing through the Galactic halo over a characteristic timescale of a few
Myrs to a few hundred Myrs. We show that thermal fragments can survive in the
hot halo for a long time, especially if surrounded by a <10^6 K halo gas. If
the observed clumpy structure is mainly due to thermal instability, then the
tip of the MS is at a distance of ~70 kpc. A significant fraction of HI clouds
at the tip of the MS show multi-phase velocity profiles, indicating the
co-existence of cooler and warmer gas.


title:
Equilibrium spin currents: Non-Abelian gauge invariance and color
  diamagnetism in condensed matter

abstract:
  The spin-orbit (SO) interaction in condensed matter can be described in terms
of a non-Abelian potential known in high-energy physics as a color field. I
show that a magnetic component of this color field inevitably generates
diamagnetic color currents which are just the equilibrium spin currents
discussed in a condensed matter context. These dissipationless spin currents
thus represent a universal property of systems with SO interaction. In
semiconductors with linear SO coupling the spin currents are related to the
effective non-Abelian field via Yang-Mills magnetostatics equation.


title: Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes

abstract:
  Electrons in atoms possess both spin and orbital degrees of freedom. In
non-relativistic quantum mechanics, these are independent, resulting in large
degeneracies in atomic spectra. However, relativistic effects couple the spin
and orbital motion leading to the well-known fine structure in their spectra.
The electronic states in defect-free carbon nanotubes (NTs) are widely believed
to be four-fold degenerate, due to independent spin and orbital symmetries, and
to also possess electron-hole symmetry. Here we report measurements
demonstrating that in clean NTs the spin and orbital motion of electrons are
coupled, thereby breaking all of these symmetries. This spin-orbit coupling is
directly observed as a splitting of the four-fold degeneracy of a single
electron in ultra-clean quantum dots. The coupling favours parallel alignment
of the orbital and spin magnetic moments for electrons and anti-parallel
alignment for holes. Our measurements are consistent with recent theories that
predict the existence of spin-orbit coupling in curved graphene and describe it
as a spin-dependent topological phase in NTs. Our findings have important
implications for spin-based applications in carbon-based systems, entailing new
design principles for the realization of qubits in NTs and providing a
mechanism for all-electrical control of spins in NTs.


title: Stable commutator length is rational in free groups

abstract:
  For any group, there is a natural (pseudo-)norm on the vector space B1 of
real (group) 1-boundaries, called the stable commutator length norm. This norm
is closely related to, and can be thought of as a relative version of, the
Gromov (pseudo)-norm on (ordinary) homology. We show that for a free group, the
unit ball of this pseudo-norm is a rational polyhedron.
  It follows that stable commutator length in free groups takes on only
rational values. Moreover every element of the commutator subgroup of a free
group rationally bounds an injective map of a surface group.
  The proof of these facts yields an algorithm to compute stable commutator
length in free groups. Using this algorithm, we answer a well-known question of
Bavard in the negative, constructing explicit examples of elements in free
groups whose stable commutator length is not a half-integer.


title: Superintegrable 3-body systems on the line

abstract:
  We consider classical three-body interactions on a Euclidean line depending
on the reciprocal distance of the particles and admitting four functionally
independent quadratic in the momenta first integrals. These systems are
superseparable (i.e. multiseparable), superintegrable and equivalent (up to
rescalings) to a one-particle system in the three-dimensional Euclidean space.
Common features of the dynamics are discussed. We show how to determine the
quantum symmetry operators associated with the first integrals considered here
but do not analyze the corresponding quantum dynamics. The conformal
superseparability is proved and examples of conformal first integrals are
given. The systems considered here in generality include the Calogero, Wolfes,
and other three-body interactions widely studied in mathematical physics.


title:
Companions to Isolated Elliptical Galaxies: Revisiting the
  Bothun-Sullivan Sample

abstract:
  (Abridged) We investigate the number of physical companion galaxies for a
sample of relatively isolated elliptical galaxies. NED has been used to
reinvestigate the incidence of satellite galaxies for a sample of 34 elliptical
galaxies, first investigated by Bothun & Sullivan in a visual search out to a
projected search radius of 75 kpc. We have repeated their original
investigation using data cataloged in NED. Nine of these elliptical galaxies
appear to be members of galaxy clusters; the remaining sample of 25 galaxies
reveals an average of +1.0+/-0.5 apparent companions per galaxy within a
projected search radius of 75 kpc, in excess of two equal-area comparison
regions displaced by 150-300 kpc. This is significantly larger than the
+0.12+/-0.42 companions/galaxy found by Bothun & Sullivan for the identical
sample. Making use of published radial velocities identifies physical
companions and gives a somewhat lower estimate of +0.4 companions per
elliptical galaxy. An expansion of the search radius out to 300 kpc.


title:
Effect of disorder on the far-infrared conductivity and on the microwave
  conductivity of two-band superconductors

abstract:
  We consider the far-infrared and the microwave conductivities of a two-band
superconductor with non-magnetic impurities. The strong coupling expressions
for the frequency and temperature dependent conductivity of a two-band
superconductor are developed assuming isotropic bands and interactions. Our
numerical results obtained using realistic interaction parameters for MgB$_{2}$
are compared with experiments on this compound. We find that the available
experimental results for the far-infrared conductivity of MgB$_{2}$ are
consistent with multi-band superconductivity in the presence of a sufficiently
strong interband impurity scattering. On the other hand, our numerical results
for the microwave conductivity in the superconducting state indicate that the
experimental results obtained on samples with the highest transition
temperature $T_{c}$ are consistent with a low interband impurity scattering
rate but depend sensitively on the ratio of the total scattering rates in the
two bands. For the $\pi$-band scattering rate $\gamma_{\pi}$ not greater than
the $\sigma$-band scattering rate $\gamma_{\sigma}$ there is a single, broad,
low-temperature (at about 0.5$T_{c}$) coherence peak in the microwave
conductivity. For $\gamma_{\pi}/\gamma_{\sigma}$=4--7 a high-temperature (at
about 0.9$T_{c}$) coherence peak is dominant, but there is also a
low-temperature peak/shoulder resulting from the contribution of the $\pi$-band
carriers to the microwave conductivity. For $\gamma_{\pi}/\gamma_{\sigma}\gg$1
only the high-temperature coherence peak should be observable.


title: Time-Varying Gravitomagnetism

abstract:
  Time-varying gravitomagnetic fields are considered within the linear
post-Newtonian approach to general relativity. A simple model is developed in
which the gravitomagnetic field of a localized mass-energy current varies
linearly with time. The implications of this temporal variation of the source
for the precession of test gyroscopes and the motion of null rays are briefly
discussed.


title: A Bayesian reassessment of nearest-neighbour classification

abstract:
  The k-nearest-neighbour procedure is a well-known deterministic method used
in supervised classification. This paper proposes a reassessment of this
approach as a statistical technique derived from a proper probabilistic model;
in particular, we modify the assessment made in a previous analysis of this
method undertaken by Holmes and Adams (2002,2003), and evaluated by Manocha and
Girolami (2007), where the underlying probabilistic model is not completely
well-defined. Once a clear probabilistic basis for the k-nearest-neighbour
procedure is established, we derive computational tools for conducting Bayesian
inference on the parameters of the corresponding model. In particular, we
assess the difficulties inherent to pseudo-likelihood and to path sampling
approximations of an intractable normalising constant, and propose a perfect
sampling strategy to implement a correct MCMC sampler associated with our
model. If perfect sampling is not available, we suggest using a Gibbs sampling
approximation. Illustrations of the performance of the corresponding Bayesian
classifier are provided for several benchmark datasets, demonstrating in
particular the limitations of the pseudo-likelihood approximation in this
set-up.


title: Electrostatic interaction of a pointlike charge with a wormhole

abstract:
  A pointlike electric charge at rest is considered in the spacetime which is a
wormhole connecting two otherwise Minkowskian spaces. The potential (i. e. a
solution of the Maxwell equations) is split into two parts: one of them depends
only on the value and location of the charge, while the other, on the contrary,
does not change when the charge is quasistatically moved. Correspondingly, the
former is interpreted as being generated by the charge, and the latter as being
source-free. It is shown that all source-free potentials differ in the flux
through the throat (no "multipoles without multipoles"), which enables one to
interpret the flux as the "charge" of the wormhole in agreement with Wheeler's
concept of "charge without charge". The potential generated by the charge
differs from Coulomb's and thus a force (called "self-force") acts on the
charge even in the absence of the source-free field. This force is found
explicitly in the limit of vanishing throat length. The result differs from
that obtained recently by Khusnutdinov and Bakhmatov.


title:
Fabrication and Characterization of Large Area Metallic Nano-Split-Ring
  Arrays by Nanoimprint Lithography

abstract:
  This paper presents a novel method to parallel fabricate large area (wafer
scale) metallic nano-split-ring arrays with nanoimprint lithography (NIL). To
our knowledge it is the first method that can pattern large area and high dense
metallic split-ring arrays with advantages of high throughput, low-cost and
simplicity. This method makes metallic nano-split-ring arrays, which was
somehow conceptual before, practically useful. The optical properties of the
fabricated gold nano-split-ring arrays with different parameters were measured.
They show very obvious magnetic response to the incident light (which shows
10dB extinction ration in transmission spectra). The structure fabricated by
this method can generate magnetic response in optical range with relatively
large feature size that relax the requirement of resolution on lithography.


title: The structure of degradable quantum channels

abstract:
  Degradable quantum channels are among the only channels whose quantum and
private classical capacities are known. As such, determining the structure of
these channels is a pressing open question in quantum information theory. We
give a comprehensive review of what is currently known about the structure of
degradable quantum channels, including a number of new results as well as
alternate proofs of some known results. In the case of qubits, we provide a
complete characterization of all degradable channels with two dimensional
output, give a new proof that a qubit channel with two Kraus operators is
either degradable or anti-degradable and present a complete description of
anti-degradable unital qubit channels with a new proof.
  For higher output dimensions we explore the relationship between the output
and environment dimensions ($d_B$ and $d_E$ respectively) of degradable
channels. For several broad classes of channels we show that they can be
modeled with a environment that is "small" in the sense $d_E \leq d_B$. Perhaps
surprisingly, we also present examples of degradable channels with ``large''
environments, in the sense that the minimal dimension $d_E > d_B$. Indeed, one
can have $d_E > \tfrac{1}{4} d_B^2$.
  In the case of channels with diagonal Kraus operators, we describe the
subclass which are complements of entanglement breaking channels. We also
obtain a number of results for channels in the convex hull of conjugations with
generalized Pauli matrices. However, a number of open questions remain about
these channels and the more general case of random unitary channels.


title:
Guarding curvilinear art galleries with edge or mobile guards via
  2-dominance of triangulation graphs

abstract:
  We consider the problem of monitoring an art gallery modeled as a polygon,
the edges of which are arcs of curves, with edge or mobile guards. Our focus is
on piecewise-convex polygons, i.e., polygons that are locally convex, except
possibly at the vertices, and their edges are convex arcs. We transform the
problem of monitoring a piecewise-convex polygon to the problem of 2-dominating
a properly defined triangulation graph with edges or diagonals, where
2-dominance requires that every triangle in the triangulation graph has at
least two of its vertices in its 2-dominating set. We show that
$\lfloor\frac{n+1}{3}\rfloor$ diagonal guards or $\lfloor\frac{2n+1}{5}\rfloor$
edge guards are always sufficient and sometimes necessary, in order to
2-dominate a triangulation graph. Furthermore, we show how to compute: a
diagonal 2-dominating set of size $\lfloor\frac{n+1}{3}\rfloor$ in linear time,
an edge 2-dominating set of size $\lfloor\frac{2n+1}{5}\rfloor$ in $O(n^2)$
time, and an edge 2-dominating set of size $\lfloor\frac{3n}{7}\rfloor$ in O(n)
time. Based on the above-mentioned results, we prove that, for piecewise-convex
polygons, we can compute: a mobile guard set of size
$\lfloor\frac{n+1}{3}\rfloor$ in $O(n\log{}n)$ time, an edge guard set of size
$\lfloor\frac{2n+1}{5}\rfloor$ in $O(n^2)$ time, and an edge guard set of size
$\lfloor\frac{3n}{7}\rfloor$ in $O(n\log{}n)$ time. Finally, we show that
$\lfloor\frac{n}{3}\rfloor$ mobile or $\lceil\frac{n}{3}\rceil$ edge guards are
sometimes necessary. When restricting our attention to monotone
piecewise-convex polygons, the bounds mentioned above drop:
$\lceil\frac{n+1}{4}\rceil$ edge or mobile guards are always sufficient and
sometimes necessary; such an edge or mobile guard set, of size at most
$\lceil\frac{n+1}{4}\rceil$, can be computed in O(n) time.


title: Complexity of Combinatorial Market Makers

abstract:
  We analyze the computational complexity of market maker pricing algorithms
for combinatorial prediction markets. We focus on Hanson's popular logarithmic
market scoring rule market maker (LMSR). Our goal is to implicitly maintain
correct LMSR prices across an exponentially large outcome space. We examine
both permutation combinatorics, where outcomes are permutations of objects, and
Boolean combinatorics, where outcomes are combinations of binary events. We
look at three restrictive languages that limit what traders can bet on. Even
with severely limited languages, we find that LMSR pricing is $\SP$-hard, even
when the same language admits polynomial-time matching without the market
maker. We then propose an approximation technique for pricing permutation
markets based on a recent algorithm for online permutation learning. The
connections we draw between LMSR pricing and the vast literature on online
learning with expert advice may be of independent interest.


title: The signature of the Seiberg-Witten surface

abstract:
  The Seiberg-Witten family of elliptic curves defines a Jacobian rational
elliptic surface $\Z$ over $\mathbb{C}\mathrm{P}^1$. We show that for the
$\bar{\partial}$-operator along the fiber the logarithm of the regularized
determinant $-1/2 \log \det' (\bar\partial^* \bar\partial)$ satisfies the
anomaly equation of the one-loop topological string amplitude derived in
Kodaira-Spencer theory. We also show that not only the determinant line bundle
with the Quillen metric but also the $\bar{\partial}$-operator itself extends
across the nodal fibers of $\mathrm{Z}$. The extension introduces current
contributions to the curvature of the determinant line bundle at the points
where the fibration develops nodal fibers. The global anomaly of the
determinant line bundle then determines the signature of $\mathrm{Z}$ which
equals minus the number of hypermultiplets.


title: Non-adiabadic charge pumping in a hybrid SET transistor

abstract:
  We study theoretically current quantization in the charge turnstile based on
the hybrid (SINIS or NISIN) SET transistor. The quantization accuracy is
limited by either Andreev reflection or by Cooper pair - electron cotunneling.
The rates of these processes are calculated in the ``above-the-threshold''
regime when they compete directly with the lowest-order tunneling. We show that
by shaping the ac gate voltage driving the turnstile, it should be possible to
achieve the metrological accuracy of $10^{-8}$, while maintaining the absolute
value of the quantized current on the order of 30 pA, just by one turnstile
with realistic parameters using aluminium as superconductor.


title:
Stochastic method for accommodation of equilibrating basins in kinetic
  Monte Carlo simulations

abstract:
  A computationally simple way to accommodate 'basins' of trapping sites in
standard kinetic Monte Carlo simulations is presented. By assuming the system
is effectively equilibrated in the basin, the residence time (time spent in the
basin before escape) and the probabilities for transition to states outside the
basin may be calculated. This is demonstrated for point defect diffusion over a
periodic grid of sites containing a complex basin.


title: Rise and fall of the old quantum theory

abstract:
  The old quantum theory of Bohr and Sommerfeld was abandonned for the wrong
reason. Its contradictions were caused not by the orbit concept but by a mental
barrier--the inconceivability that an electron might collide with the atomic
nucleus. Removing that barrier resolves the theory's main failures--incorrect
orbital momenta, He atom, H2+ molecule ion. The inclusion of electron
oscillations through the nucleus--a concept called "Coulomb
oscillator"--renders the old quantum theory consistent with quantum mechanics
(although devoid of wave character). The triple success of the Bohr-Sommerfeld
model is its correct description of the H atom (and one-electron ions)
concerning (1) the energy levels Enl, (2) the orbital angular momenta Lnl--if
corrected as Lnl^2 = l(l+1) hbar^2 and with the Coulomb oscillator
included--and (3) the orbits' space quantization--with (Lnl)z = ml hbar. These
achievements are succinctly represented by the principal, angular and magnetic
quantum numbers (n, l, ml) and visualized by orbital ellipse geometry--major
axis, vertex curvature, and tilt angle, respectively. Orbit geometry also
accounts for the average orbit size. Moreover, the Coulomb oscillator provides
a natural explanation of (isotropic) hyperfine interaction. The shortcomings of
the old quantum theory lie in its neglect of three properties of
particles--their spin, their wave nature and their quantum statistics. These
deficiencies notwithstanding, the visual appeal of the Bohr-Sommerfeld model
remains a pedagogical asset to complement the abstract character of quantum
mechanics.


title: Extremely High Thermal Conductivity of Graphene: Experimental Study

abstract:
  We report on the first measurement of the thermal conductivity of a suspended
single layer graphene. The measurements were performed using a non-contact
optical technique. The near room-temperature values of the thermal conductivity
in the range ~ 4840 to 5300 W/mK were extracted for a single-layer graphene.
The extremely high value of the thermal conductivity suggests that graphene can
outperform carbon nanotubes in heat conduction.


title:
Asymptotics of the Spectral Gap for the Interchange Process on Large
  Hypercubes

abstract:
  We consider the interchange process (IP) on the $d$-dimensional, discrete
hypercube of side-length $n$. Specifically, we compare the spectral gap of the
IP to the spectral gap of the random walk (RW) on the same graph. We prove that
the two spectral gaps are asymptotically equivalent, in the limit $n \to
\infty$. This result gives further supporting evidence for a conjecture of
Aldous, that the spectral gap of the IP equals the spectral gap of the RW on
all finite graphs. Our proof is based on an argument invented by Handjani and
Jungreis, who proved Aldous's conjecture for all trees. This also has
implications for the spectral gap of the quantum Heisenberg ferromagnet.


title: Interior-Point Algorithms for Linear-Programming Decoding

abstract:
  Interior-point algorithms constitute a very interesting class of algorithms
for solving linear-programming problems. In this paper we study efficient
implementations of such algorithms for solving the linear program that appears
in the linear-programming decoder formulation.


title:
Asymptotics of Weil-Petersson geodesics I: ending laminations,
  recurrence, and flows

abstract:
  We define an ending lamination for a Weil-Petersson geodesic ray. Despite the
lack of a natural visual boundary for the Weil-Petersson metric, these ending
laminations provide an effective boundary theory that encodes much of its
asymptotic CAT(0) geometry. In particular, we prove an ending lamination
theorem (Theorem 1.1) for the full-measure set of rays that recur to the thick
part, and we show that the association of an ending lamination embeds asymptote
classes of recurrent rays into the Gromov-boundary of the curve complex. As an
application, we establish fundamentals of the topological dynamics of the
Weil-Petersson geodesic flow, showing density of closed orbits and topological
transitivity.


title: Positron-atom scattering using pseudo-state energy shifts

abstract:
  A method to generate low-energy phase shifts for elastic scattering using
bound-state calculations is applied to the problem of e+ - Mg and e+ - Zn
scattering after an initial validation on the e+ - Cu system. The energy shift
between a small reference calculation and the largest possible configuration
interaction calculation of the lowest energy pseudo-state is used to tune a
semi-empirical optical potential. The potential was further fine-tuned by
utilizing the energy of the second lowest pseudo-state. The s- and p-wave phase
shifts for positron scattering from Mg and Zn are given from threshold to the
first excitation threshold. The e+ - Mg cross section has a prominent p-wave
shape resonance at an energy of about 0.096 eV with a width of 0.106 eV. The
peak cross section for e+ - Mg scattering is about 4800 a_0^2 while Z_eff
achieves a value of 1310 at an energy of 0.109 eV.


title:
An integral formula for large random rectangular matrices and its
  application to analysis of linear vector channels

abstract:
  A statistical mechanical framework for analyzing random linear vector
channels is presented in a large system limit. The framework is based on the
assumptions that the left and right singular value bases of the rectangular
channel matrix $\bH$ are generated independently from uniform distributions
over Haar measures and the eigenvalues of $\bH^{\rm T}\bH$ asymptotically
follow a certain specific distribution. These assumptions make it possible to
characterize the communication performance of the channel utilizing an integral
formula with respect to $\bH$, which is analogous to the one introduced by
Marinari {\em et. al.} in {\em J. Phys. A} {\bf 27}, 7647 (1994) for large
random square (symmetric) matrices. A computationally feasible algorithm for
approximately decoding received signals based on the integral formula is also
provided.


title: Size dependence of lattice constants of semiconductor nanocrystals

abstract:
  We have theoretically examined the size dependence of the equilibrium lattice
constant of nanocrystals of Si, GaAs and CdSe. While deviations from the bulk
lattice constant are as large as 1-2% for unpassivated nanocrystals of Si, the
deviations drop to ~ 0.3%-0.4% once the surfaces are passivated. Inspite of the
fact that the average equilibrium bond-lengths are bulk-like, we find that the
nearest-neighbor bond-length exhibits an unusual strain profile with bulk like
bond-lengths in the core and shorter (~ 1%) bonds at the surface.


title: Polarisation of mJy radio sources

abstract:
  Predictions of the number of faint polarised radio sources that can be
detected by SKA pathfinder telescopes and the SKA depend on the polarisation
properties of radio sources with a total flux density around 1 mJy. Total
intensity source counts suggest a transition in the dominant population from
AGN to galaxies around this flux density, and the properties of brighter radio
sources may not be representative for this fainter population. We show that
unresolved spiral galaxies can be highly polarised radio sources, up to ~ 20%
polarised at 4.8 GHz. This result is partly based on observations of nearby
galaxies, including galaxies with significant deviations from axial symmetry
and other peculiarities. A first analysis of polarised source counts divided
into steep-spectrum AGN, flat-spectrum AGN and star forming galaxies is
presented, including a prediction of polarised source counts to microjansky
levels.


title: Autoconjugate representers for linear monotone operators

abstract:
  Monotone operators are of central importance in modern optimization and
nonlinear analysis. Their study has been revolutionized lately, due to the
systematic use of the Fitzpatrick function. Pioneered by Penot and Svaiter, a
topic of recent interest has been the representation of maximal monotone
operators by so-called autoconjugate functions. Two explicit constructions were
proposed, the first by Penot and Zalinescu in 2005, and another by Bauschke and
Wang in 2007. The former requires a mild constraint qualification while the
latter is based on the proximal average.
  We show that these two autoconjugate representers must coincide for
continuous linear monotone operators on reflexive spaces. The continuity and
the linearity assumption are both essential as examples of discontinuous linear
operators and of subdifferential operators illustrate. Furthermore, we also
construct an infinite family of autoconjugate representers for the identity
operator on the real line.


title:
Reducing False Alarms in Searches for Gravitational Waves from
  Coalescing Binary Systems

abstract:
  LIGO observatories in Livingston, LA and Hanford, WA may detect gravitational
waves emitted from coalescing binary systems composed of two compact objects.
In order to detect compact binary coalescence (CBC) events, LIGO searches
utilize matched filtering techniques. Matched filtering is the optimal
detection strategy for stationary, Gaussian noise, however, LIGO noise is often
non-stationary, non-Gaussian. Non-stationary noise result in an excess of false
candidate events, commonly known as false alarms. This thesis develops the r^2
test to reduce the false alarm rate for LIGO CBC searches. Results of the
search for primordial black hole binary systems (where each object has less
than 1M_solar), in LIGO's Third Science Run (S3) is also presented.
  Results of the r^2 test are shown for several LIGO CBC searches, including
the binary neutron star searches in the Third and Fourth Science Runs (S3/S4),
the S3/S4 primordial black hole searches, and the binary black hole search in
the first three months of the Fifth Science Run (S5). The r^2 test
significantly reduces the false alarm rate in these searches, while only
falsely dismissing a small fraction of simulated events.


title:
Resultant pressure distribution pattern along the basilar membrane in
  the spiral shaped cochlea

abstract:
  Cochlea is an important auditory organ in the inner ear. In most mammals, it
is coiled as a spiral. Whether this specific shape influences hearing is still
an open problem. By employing a three dimensional fluid model of the cochlea
with an idealized geometry, the influence of the spiral geometry of the cochlea
is examined. We obtain solutions of the model through a conformal
transformation in a long-wave approximation. Our results show that the net
pressure acting on the basilar membrane is not uniform along its spanwise
direction. Also, it is shown that the location of the maximum of the spanwise
pressure difference in the axial direction has a mode dependence. In the
simplest pattern, the present result is consistent with the previous theory
based on the WKB-like approximation [D. Manoussaki, Phys. Rev. Lett. 96,
088701(2006)]. In this mode, the pressure difference in the spanwise direction
is a monotonic function of the distance from the apex and the normal velocity
across the channel width is zero. Thus in the lowest order approximation, we
can neglect the existance of the Reissner's membrane in the upper channel.
However, higher responsive modes show different behavior and, thus, the real
maximum is expected to be located not exactly at the apex, but at a position
determined by the spiral geometry of the cochlea and the width of the cochlear
duct. In these modes, the spanwise normal velocities are not zero. Thus, it
indicates that one should take into account of the detailed geometry of the
cochlear duct for a more quantitative result. The present result clearly
demonstrates that not only the spiral geometry, but also the geometry of the
cochlear duct play decisive roles in distributing the wave energy.


title:
Probing Landau quantisation with the presence of insulator-quantum Hall
  transition in a GaAs two-dimensional electron system

abstract:
  Magneto-transport measurements are performed on the two-dimensional electron
system (2DES) in an AlGaAs/GaAs heterostructure. By increasing the magnetic
field perpendicular to the 2DES, magnetoresistivity oscillations due to Landau
quantisation can be identified just near the direct insulator-quantum Hall
(I-QH) transition. However, different mobilities are obtained from the
oscillations and transition point. Our study shows that the direct I-QH
transition does not always correspond to the onset of strong localisation.


title:
Structure and Optimality of Myopic Policy in Opportunistic Access with
  Noisy Observations

abstract:
  A restless multi-armed bandit problem that arises in multichannel
opportunistic communications is considered, where channels are modeled as
independent and identical Gilbert-Elliot channels and channel state
observations are subject to errors. A simple structure of the myopic policy is
established under a certain condition on the false alarm probability of the
channel state detector. It is shown that the myopic policy has a semi-universal
structure that reduces channel selection to a simple round-robin procedure and
obviates the need to know the underlying Markov transition probabilities. The
optimality of the myopic policy is proved for the case of two channels and
conjectured for the general case based on numerical examples.


title:
New Bounds for the Capacity Region of the Finite-State Multiple Access
  Channel

abstract:
  The capacity region of the Finite-State Multiple Access Channel (FS-MAC) with
feedback that may be an arbitrary time-invariant function of the channel output
samples is considered. We provided a sequence of inner and outer bounds for
this region. These bounds are shown to coincide, and hence yield the capacity
region, of FS-MACs where the state process is stationary and ergodic and not
affected by the inputs, and for indecomposable FS-MAC when feedback is not
allowed.
  Though the capacity region is `multi-letter' in general, our results yield
explicit conclusions when applied to specific scenarios of interest.


title:
Comments on combinatorial interpretation of fibonomial coefficients - an
  email style letter

abstract:
  Up to our knowledge -since about 126 years we were lacking of classical type
combinatorial interpretation of Fibonomial coefficients as it was Lukas
\cite{1} - to our knowledge -who was the first who had defined Finonomial
coefficients and derived a recurrence for them (see Historical Note in
\cite{2,3}). Here we inform that a join combinatorial interpretation was found
\cite{4} for all binomial-type coefficient - Fibonomial coefficients included.


title: New type Stirling like numbers - an email style letter

abstract:
  The notion of the Fibonacci cobweb poset from [1] has been naturally extended
to any admissible sequence $F$ in [2] where it was also recognized that the
celebrated prefab notion of Bender and Goldman [3] - (see also [4,5]) - admits
such an extension so as to encompass the new type combinatorial objects from
[2] as leading examples. Recently the present author had introduced also [6]
two natural partial orders in there: one $\leq$ in grading-natural subsets of
cobweb`s prefabs sets [2] and in the second proposal one endows the set sums of
the so called "prefabiants" with such another partial order that one arrives at
Bell-like numbers including Fibonacci triad sequences introduced by the present
author in [7]. Here we quote the basic observations concerning the new type
Stirling like numbers as they appear in [6]. For more on notation, Stirling
like numbers of the first kind and for proofs - see [6].


title: On Directed Information and Gambling

abstract:
  We study the problem of gambling in horse races with causal side information
and show that Massey's directed information characterizes the increment in the
maximum achievable capital growth rate due to the availability of side
information. This result gives a natural interpretation of directed information
$I(Y^n \to X^n)$ as the amount of information that $Y^n$ \emph{causally}
provides about $X^n$. Extensions to stock market portfolio strategies and data
compression with causal side information are also discussed.


title: Resonances in a circular dielectric cavity

abstract:
  We study resonance distributions in a circular dielectric cavity. It is shown
that the decay-rate distribution has a peak structure and the details of the
peak are consistent with the classical survival probability time distribution.
We also investigate the behavior of the complex resonance positions at the
small opening limit. At the large $n$ limit, the real part of complex resonance
positions approaches the solutions with different $m$ of Dirichlet problem with
a scale $n^{-2}$ and the imaginary part goes zero as $n^{-2m}$ for TM and
$n^{-2(m+1)}$ for TE polarization, where $m$ is the order of the resonance.


title:
Dispersion of "Dispersionless Zero Mode": Comments on L. Brey and H.A.
  Fertig paper Electronic States of Graphene Nanoribbons Studied With The Dirac
  Equation

abstract:
  As a particular application of the earlier proposed model of graphene as a
macromolecule, we found the exact analytical expression of dispersion relation
for the band of edge states in graphene zigzag ribbons. This band is often
referred to as "dispersionless band" or "zero mode". The obtained result
contrasts description of edge states given in the referenced paper, showing
that the earlier given explanation is valid only for a very narrow region of
values of the electron/hole wave vector, but for the rest, it is not correct.


title:
Understanding the relations between QSOs and their host galaxies from
  combined HST imaging and VLT spectroscopy

abstract:
  The host galaxies of six nearby QSOs are studied on the basis of high
resolution HST optical images and spatially resolved VLT slit spectra. The gas
ionization and velocity are mapped as a function of the distance to the central
QSO. In the majority of the cases, the QSO significantly contributes to the gas
ionization in its whole host galaxy, and sometimes even outside.
  Reflection or scattering of the QSO \ha line from remote regions of the
galaxy is detected in several instances. The line shifts show that, in all
cases, the matter responsible for the light reflection moves away from the QSO,
likely accelerated by its radiation pressure.
  The two faintest QSOs reside in spirals, with some signs of a past
gravitational perturbation. One of the intermediate luminosity QSOs resides in
a massive elliptical containing gas ionized (and probably pushed away) by the
QSO radiation. The other medium-power object is found in a spiral galaxy
displaying complex velocity structure, with the central QSO moving with respect
to the bulge, probably as a result of a galactic collision. The two most
powerful objects are involved in violent gravitational interactions and one of
them has no detected host.
  These results suggest that (1) large-scale phenomena, such as galactic
collisions, are closely related to the triggering and the feeding of the QSO
and (2) once ignited, the QSO has significant influence on its large-scale
neighborhood (often the whole host and sometimes further away).


title:
Ascending runs in dependent uniformly distributed random variables:
  Application to wireless networks

abstract:
  We analyze in this paper the longest increasing contiguous sequence or
maximal ascending run of random variables with common uniform distribution but
not independent. Their dependence is characterized by the fact that two
successive random variables cannot take the same value. Using a Markov chain
approach, we study the distribution of the maximal ascending run and we develop
an algorithm to compute it. This problem comes from the analysis of several
self-organizing protocols designed for large-scale wireless sensor networks,
and we show how our results apply to this domain.


title:
Estimation non-param\'etrique de la densit\'e spectrale d'un processus
  gaussien \'echantillonn\'e al\'eatoirement

abstract:
  From a wavelet analysis, one derives a nonparametrical estimator for the
spectral density of a Gaussian process with stationary increments. First, the
idealistic case of a continuous time path of the process is considered. A
punctual Central Limit Theorem (CLT) and an estimation of the Mean Integrate
Square Error (MISE) are established. Next, to fit the applications, one
considers the case where one observes a path at random times. One built a
second estimator obtained by replacing the wavelet coefficients by their
discretizations. A second CLT and the corresponding estimation of the MISE are
provided. Finally, simulation results and an application on the heartbeat time
series of marathon runners are presented.


title: Convergence of some leader election algorithms

abstract:
  We start with a set of n players. With some probability P(n,k), we kill n-k
players; the other ones stay alive, and we repeat with them. What is the
distribution of the number X_n of phases (or rounds) before getting only one
player? We present a probabilistic analysis of this algorithm under some
conditions on the probability distributions P(n,k), including stochastic
monotonicity and the assumption that roughly a fixed proportion alpha of the
players survive in each round.
  We prove a kind of convergence in distribution for X_n-log_a n, where the
basis a=1/alpha; as in many other similar problems there are oscillations and
no true limit distribution, but suitable subsequences converge, and there is an
absolutely continuous random variable Z such that the distribution of X_n can
be approximated by Z+log_a n rounded to the nearest larger integer.
  Applications of the general result include the leader election algorithm
where players are eliminated by independent coin tosses and a variation of the
leader election algorithm proposed by W.R. Franklin. We study the latter
algorithm further, including numerical results.


title:
Decisions, Decisions, Decisions: Can Savage Salvage Everettian
  Probability?

abstract:
  Critics object that the Everett view cannot make sense of quantum
probabilities, in one or both of two ways: either it cannot make sense of
probability at all, or it cannot explain why probability should be governed by
the Born rule. David Deutsch has attempted to meet these objections by
appealing to an Everettian version of Savage's rational decision theory.
Deutsch argues not only that an analogue of classical decision under
uncertainty makes sense in an Everett world; but also that under reasonable
assumptions, the betting odds of a rational Everettian agent should be
constrained by the Born rule. Deutsch's proposal has been defended and
developed by David Wallace, and in a different form by Hilary Greaves. In this
paper I offer some objections to the Deutsch-Wallace-Greaves argument,
focussing in particular on the supposed analogy with classical decision under
uncertainty.


title:
Superorbital variability of X-ray and radio emission of Cyg X-1 - II.
  Dependence of the orbital modulation and spectral hardness on the
  superorbital phase

abstract:
  We discover a pronounced dependence of the strength of the X-ray orbital
modulation and the hardness in Cyg X-1 in the hard state on its superorbital
phase. Our results can be well modelled as a combination of two effects: the
precession of the accretion disc (which causes the superorbital flux
modulation) and the orbital-phase dependent X-ray absorption in an accretion
bulge, located at the accretion disc edge close to the supergiant companion but
displaced from the line connecting the stars by about 25^o. Our findings are
supported by the distribution of the X-ray dips showing concentration towards
zero superorbital phase, which corresponds to the bulge passing through the
line of sight. We Fourier analyse our model, and find it explains the previous
finding of asymmetric beat (between the orbital and superorbital modulations)
frequencies in the observed power spectrum, provided the disc precession is
prograde. We find no statistically significant changes of the orbital
modulation with the superorbital phase in the 15-GHz radio data. This absence
is consistent with the radio being emitted by a jet in the system, in which
case the orbital modulation is caused by wind absorption far away from the
disc. We also find that both the X-ray and radio fluxes of Cyg X-1 in the hard
state on time scales >10^4-s have lognormal distributions, which complements a
previous finding of a lognormal flux distribution in the hard state on 1-s time
scales. We point out that the lognormal character of the flux distribution
requires that flux logarithms rather than fluxes themselves should be used for
averaging and error analysis. We also provide a correct formula for the
uncertainty of rms of a light curve for the case when the uncertainty is higher
than the measurement.


title: Perturbative non uniform black strings in ${AdS}_6$

abstract:
  We construct the non uniform AdS black string solution with a perturbation
theory in six dimensions, focusing on the backreacting second order correction.
The backreactions at second order give the first relevant corrections to the
thermodynamical quantities. Our results show that for configurations with
horizon radius and length in the extradimension small compared to the AdS
radius, the properties of the non uniform black string are similar to the
locally asymptotically flat case. For black strings with small horizon radial
coordinate but large length in the extradimension, the thermodynamical
properties of the solutions are affected by the AdS curvature.


title:
Les Agents comme des interpr\'eteurs Scheme : Sp\'ecification dynamique
  par la communication

abstract:
  We proposed in previous papers an extension and an implementation of the
STROBE model, which regards the Agents as Scheme interpreters. These Agents are
able to interpret messages in a dedicated environment including an interpreter
that learns from the current conversation therefore representing evolving
meta-level Agent's knowledge. When the Agent's interpreter is a
nondeterministic one, the dialogues may consist of subsequent refinements of
specifications in the form of constraint sets. The paper presents a worked out
example of dynamic service generation - such as necessary on Grids - by
exploiting STROBE Agents equipped with a nondeterministic interpreter. It shows
how enabling dynamic specification of a problem. Then it illustrates how these
principles could be effective for other applications. Details of the
implementation are not provided here, but are available.


title: Groups of finite Morley rank with solvable local subgroups

abstract:
  We lay down the fundations of the theory of groups of finite Morley rank in
which local subgroups are solvable and we proceed to the local analysis of
these groups. We prove the main Uniqueness Theorem, analogous to the Bender
method in finite group theory, and derive its corollaries. We also consider
homogeneous cases as well as torsion.


title: Supersymmetric Quantum Field Theory: Indefinite Metric

abstract:
  We study the recently introduced Krein structure (indefinite metric) of the
N=1 supersymmetry and present the way into physical applications outside path
integral methods. From the mathematical point of view some perspectives are
mentioned at the end of the paper.


title: Cyclotron motion in graphene

abstract:
  We investigate cyclotron motion in graphene monolayers considering both the
full quantum dynamics and its semiclassical limit reached at high carrier
energies. Effects of zitterbewegung due to the two dispersion branches of the
spectrum dominate the irregular quantum motion at low energies and are obtained
as a systematic correction to the semiclassical case. Recent experiments are
shown to operate in the semiclassical regime.


title:
Massive Charged Scalar Quasinormal Modes of Reissner-N\"ordstrom Black
  Hole Surrounded by Quintessence

abstract:
  We evaluate the complex frequencies of the normal modes for the massive
charged scalar field perturbations around a Reissner-N\"ordstrom black hole
surrounded by a static and spherically symmetric quintessence using third order
WKB approximation approach. Due to the presence of quintessence, quasinormal
frequencies damp more slowly. We studied the variation of quasinormal
frequencies with charge of the black bole, mass and charge of perturbating
scalar field and the quintessential state parameter.


title: Holography, CFT and Black Hole Entropy

abstract:
  Aspects of holography or dimensional reduction in gravitational physics are
discussed with reference to black hole thermodynamics. Degrees of freedom
living on Isolated Horizons (as a model for macroscopic, generic, eternal black
hole horizons) are argued to be topological in nature and counted, using their
relation to two dimensional conformal field theories. This leads to the
microcanonical entropy of these black holes having the Bekenstein-Hawking form
together with finite, unambigious {\it quantum spacetime} corrections. Another
aspect of holography ensues for radiant black holes treated as a standard
canonical ensemble with Isolated Horizons as the mean (equilibrium)
configuration. This is shown to yield a universal criterion for thermal
stability of generic radiant black holes, as a lower bound on the mass of the
equilibrium isolated horizon in terms of its microcanonical entropy. Saturation
of the bound occurs at a phase boundary separating thermally stable and
unstable phases with symptoms of a first order phase transition.


title: Atmospheric dynamics of red supergiant stars and Interferometry

abstract:
  We developed a 3D pure LTE radiative transfer code to derive observables
expected for RSGs, with emphasis on small scale structures, from
radiative-hydrodynamic (RHD) simulations of red supergiant stars (RSGs) carried
out with CO5BOLD (Freytag et al. 2002). We show that the convection-related
surface structures are observable with today's interferometers. Moreover, the
RHD simulations are a great improvement over parametric models for the
interpretation of interferometric observations.


title: An arithmetic Riemann-Roch theorem in higher degrees

abstract:
  We prove an analogue in Arakelov geometry of the Grothendieck-Riemann-Roch
theorem.


title:
About Stable Periodic Helixes, L-iteration and Chaos Generated by
  Unbounded Functions

abstract:
  We consider stable periodic helixes as a generalization of stable periodic
orbits. We see that in the studied class of iterated functions Chaos always
arise suddenly. Therefore, we shall study the route from chaos to order rather
than the route from order to chaos. We show that, paradoxically, genuine Chaos
may look as much like Order and during as many iteration steps as one may wish.
  Then, we shall propose a generalization of the idea of map iteration that do
not imply the existence of periodic orbits. We shall show that, within a
strictly deterministic context, unpredictability, aperiodic order, sensitive
dependence and chaos are completely different concepts and we shall try to show
what this difference is made of. We shall also propose an example of non
chaotic aperiodic order.


title: Net bundles over posets and K-theory

abstract:
  We continue studying net bundles over partially ordered sets (posets),
defined as the analogues of ordinary fibre bundles. To this end, we analyze the
connection between homotopy, net homology and net cohomology of a poset, giving
versions of classical Hurewicz theorems. Focusing our attention on Hilbert net
bundles, we define the K-theory of a poset and introduce functions over the
homotopy groupoid satisfying the same formal properties as Chern classes. As
when the given poset is a base for the topology of a space, our results apply
to the category of locally constant bundles.


title:
Atmospheric dynamics of red supergiant stars and applications to
  Interferometry

abstract:
  We have written a 3D radiative transfer code that computes emerging spectra
and intensity maps. We derive from radiative hydrodynamic (RHD) simulations of
RSG stars carried out with CO5BOLD (Freytag et al. 2002) observables expected
for red supergiant stars (RSG) especially for interferometric observations,
with emphasis on small scale structures. We show that the convection-related
surface structures are detectable in the H band with today's interferometers
and that the diameter measurement should not be too dependent on the adopted
model. The simulations are a great improvement over parametric models for the
interpretation of interferometric observations.


title:
Neutrino emission due to Cooper-pair recombination in neutron stars
  revisited

abstract:
  Neutrino emission in processes of breaking and formation of neutron and
proton Cooper pairs is calculated within the Larkin-Migdal-Leggett approach for
a superfluid Fermi liquid. We demonstrate explicitly that the Fermi-liquid
renormalization respects the Ward identity and assures the weak vector current
conservation. The systematic expansion of the emissivities for small
temperatures and nucleon Fermi velocity, v_{F,i}, i=n,p, is performed. Both
neutron and proton processes are mainly controlled by the axial-vector current
contributions, which are not strongly changed in the superfluid matter. Thus,
compared to earlier calculations the total emissivity of processes on neutrons
paired in the 1S_0 state is suppressed by a factor ~(0.9-1.2) v_{F,n}^2. A
similar suppression factor (~v_{F,p}^2) arises for processes on protons.


title:
Polarized QED splittings of massive fermions and dipole subtraction for
  non-collinear-safe observables

abstract:
  Building on earlier work, the dipole subtraction formalism for photonic
corrections is extended to various photon--fermion splittings where the
resulting collinear singularities lead to corrections that are enhanced by
logarithms of small fermion masses. The difference to the earlier treatment of
photon radiation is that now no cancellation of final-state singularities is
assumed, i.e. we allow for non-collinear-safe final-state radiation. Moreover,
we consider collinear fermion production from incoming photons,
forward-scattering of incoming fermions, and collinearly produced
fermion-antifermion pairs. For all cases we also provide the corresponding
formulas for the phase-space slicing approach, and particle polarization is
supported for all relevant situations. A comparison of numerical results
obtained with the proposed subtraction procedure and the slicing method is
explicitly performed for the sample process e- gamma -> e- mu- mu+.


title: Two simple sufficient conditions for FDR control

abstract:
  We show that the control of the false discovery rate (FDR) for a multiple
testing procedure is implied by two coupled simple sufficient conditions. The
first one, which we call ``self-consistency condition'', concerns the algorithm
itself, and the second, called ``dependency control condition'' is related to
the dependency assumptions on the $p$-value family. Many standard multiple
testing procedures are self-consistent (e.g. step-up, step-down or step-up-down
procedures), and we prove that the dependency control condition can be
fulfilled when choosing correspondingly appropriate rejection functions, in
three classical types of dependency: independence, positive dependency (PRDS)
and unspecified dependency. As a consequence, we recover earlier results
through simple and unifying proofs while extending their scope to several
regards: weighted FDR, $p$-value reweighting, new family of step-up procedures
under unspecified $p$-value dependency and adaptive step-up procedures. We give
additional examples of other possible applications. This framework also allows
for defining and studying FDR control for multiple testing procedures over a
continuous, uncountable space of hypotheses.


title:
Explicit Computations for a Filtering Problem with Point Process
  Observations with Applications to Credit Risk

abstract:
  We consider the intensity-based approach for the modeling of default times of
one or more companies. In this approach the default times are defined as the
jump times of a Cox process, which is a Poisson process conditional on the
realization of its intensity. We assume that the intensity follows the
Cox-Ingersoll-Ross model. This model allows one to calculate survival
probabilities and prices of defaultable bonds explicitly. In this paper we
assume that the Brownian motion, that drives the intensity, is not observed.
Using filtering theory for point process observations, we are able to derive
dynamics for the intensity and its moment generating function, given the
observations of the Cox process. A transformation of the dynamics of the
conditional moment generating function allows us to solve the filtering
problem, between the jumps of the Cox process, as well as at the jumps.
Assuming that the initial distribution of the intensity is of the Gamma type,
we obtain an explicit solution to the filtering problem for all t>0. We
conclude the paper with the observation that the resulting conditional moment
generating function at time t corresponds to a mixture of Gamma distributions.


title: Generalized induction of Kazhdan-Lusztig cells

abstract:
  Following Lusztig, we consider a Coxeter group $W$ together with a weight
function. Geck showed that the Kazhdan-Lusztig cells of $W$ are compatible with
parabolic subgroups. In this paper, we generalize this argument to some subsets
of $W$ which may not be parabolic subgroups. We obtain two applications: we
show that under specific technical conditions on the parameters, the cells of a
certain finite parabolic subgroup of $W$ are cells in the whole group, and we
decompose the affine Weyl group $\tilde{G}_{2}$ into left and two-sided cells
for a whole class of weight functions.


title: Zero-energy states in corrugated bilayer graphene

abstract:
  Anomalous quantum Hall effects in single-layer and bilayer graphene are
related with nontrivial topological properties of electron states (Berry phases
$\pi$ and 2$\pi$, respectively). It was known that the Atiyah-Singer index
theorem guarantees, for the case of the single-layer, existence of zero-energy
states for the case of inhomogeneous magnetic fields assuming that the total
flux is non-zero. This leads, in particular, to appearance of midgap states in
corrugated graphene and topologically protects zero-energy Landau level in
corrugated single-layer graphene. Here we apply this theorem to the case of
bilayer graphene and prove the existence of zero-energy modes for this case.


title:
HNNLO: a Monte Carlo program to compute Higgs boson production at hadron
  colliders

abstract:
  We consider Higgs boson production through gluon--gluon fusion in hadron
collisions. We present a numerical program that computes the cross section up
to NNLO in QCD perturbation theory. The program includes the decay modes
H->gamma-gamma, H->WW->lnulnu, H->ZZ->4leptons, and allows the user to apply
arbitrary cuts on the momenta of the partons and of the photons or leptons that
are produced in the final state.


title:
Zero-field and Larmor spinor precessions in a neutron polarimeter
  experiment

abstract:
  We present a neutron polarimetric experiment where two kinds of spinor
precessions are observed: one is induced by different total energy of neutrons
(zero-field precession) and the other is induced by a stationary guide field
(Larmor precession). A characteristic of the former is the dependence of the
energy-difference, which is in practice tuned by the frequency of the
interacting oscillating magnetic field. In contrast the latter completely
depends on the strength of the guide field, namely Larmor frequency. Our
neutron-polarimetric experiment exhibits individual tuning as well as specific
properties of each spinor precession, which assures the use of both spin
precessions for multi-entangled spinor manipulation.


title: Extreme Learning Machine for land cover classification

abstract:
  This paper explores the potential of extreme learning machine based
supervised classification algorithm for land cover classification. In
comparison to a backpropagation neural network, which requires setting of
several user-defined parameters and may produce local minima, extreme learning
machine require setting of one parameter and produce a unique solution. ETM+
multispectral data set (England) was used to judge the suitability of extreme
learning machine for remote sensing classifications. A back propagation neural
network was used to compare its performance in term of classification accuracy
and computational cost. Results suggest that the extreme learning machine
perform equally well to back propagation neural network in term of
classification accuracy with this data set. The computational cost using
extreme learning machine is very small in comparison to back propagation neural
network.


title: Anomalous Wtb coupling effects in the weak radiative B-meson decay

abstract:
  We study the effect of anomalous Wtb couplings on the B -> Xs gamma branching
ratio. The considered couplings are introduced as parts of gauge-invariant
dimension-six operators that are built out of the Standard Model fields only.
One-loop contributions from the charged-current vertices are assumed to be of
the same order as the tree-level flavour-changing neutral current ones. Bounds
on the corresponding Wilson coefficients are derived.


title:
Semiclassical reduction for magnetic Schroedinger operator with periodic
  zero-range potentials and applications

abstract:
  The two-dimensional Schroedinger operator with a uniform magnetic field and a
periodic zero-range potential is considered. For weak magnetic fields we reduce
the spectral problem to the semiclassical analysis of one-dimensional
Harper-like operators. This shows the existence of parts of Cantor structure in
the spectrum for special values of the magnetic flux.


title:
An holomorphic study of Smarandache automorphic and cross inverse
  ploperty loops

abstract:
  By studying the holomorphic structure of automorphic inverse property
quasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups
and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a
Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop if and only if its
Smarandache automorphism group is trivial and the loop is itself is a
Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop.


title: Econophysics: historical perspectives

abstract:
  Econophysics embodies the recent upsurge of interest by physicists into
financial economics, driven by the availability of large amount of data, job
shortage in physics and the possibility of applying many-body techniques
developed in statistical and theoretical physics to the understanding of the
self-organizing economy. This brief historical survey emphasizes that
Econophysics has many historical precursors, and is in fact rooted in a
continuous cross-fertilization between economics and physics that has been
active in the last centuries.


title:
A Double Cryptography Using The Smarandache Keedwell Cross Inverse
  Quasigroup

abstract:
  The present study further strengthens the use of the Keedwell CIPQ against
attack on a system by the use of the Smarandache Keedwell CIPQ for cryptography
in a similar spirit in which the cross inverse property has been used by
Keedwell. This is done as follows. By constructing two S-isotopic
S-quasigroups(loops) $U$ and $V$ such that their Smarandache automorphism
groups are not trivial, it is shown that $U$ is a SCIPQ(SCIPL) if and only if
$V$ is a SCIPQ(SCIPL). Explanations and procedures are given on how these
SCIPQs can be used to double encrypt information.


title: The visibility of low-frequency solar acoustic modes

abstract:
  We make predictions of the detectability of low-frequency p modes. Estimates
of the powers and damping times of these low-frequency modes are found by
extrapolating the observed powers and widths of higher-frequency modes with
large observed signal-to-noise ratios. The extrapolations predict that the
low-frequency modes will have small signal-to-noise ratios and narrow widths in
a frequency-power spectrum. Monte Carlo simulations were then performed where
timeseries containing mode signals and normally distributed Gaussian noise were
produced. The mode signals were simulated to have the powers and damping times
predicted by the extrapolations. Various statistical tests were then performed
on the frequency-amplitude spectra formed from these timeseries to investigate
the fraction of spectra in which the modes could be detected. The results of
these simulations were then compared to the number of p-modes candidates
observed in real Sun-as-a-star data at low frequencies. The fraction of
simulated spectra in which modes were detected decreases rapidly as the
frequency of modes decreases and so the fraction of simulations in which the
low-frequency modes were detected was very small. However, increasing the
signal-to-noise (S/N) ratio of the low-frequency modes by a factor of 2 above
the extrapolated values led to significantly more detections. Therefore efforts
should continue to further improve the quality of solar data that is currently
available.


title: Born series and unitarity in noncommutative quantum mechanics

abstract:
  This paper is dedicated to present model independent results for
noncommutative quantum mechanics. We determine sufficient conditions for the
convergence of the Born series and, in the sequel, unitarity is proved in full
generality.


title: Ab initio study of the optical phonons in 1D antiferromagnet Ca2CuO3

abstract:
  In the spin 1/2 antiferromagnetic Ca2CuO3 the optical excitation along 1D a
Cu-O chain showed the enrichment of forbidden peaks that could not be explained
by the group theory. We present the cluster-model ab initio study of these
optical phonons based on the Hartree-Fock SCF calculation with the 3-21G basic
set. The obtained results showed very good agreement with the observed data.
The Cu-O resonances generally showed the lower shifts in Ca2CuO3 than in pure
CuO and were primarily composed of the vibrations of the oxygen in static host
lattice whereas the Cu movements happened only in the collective lattice
vibrations. Almost complete classification of the forbidden phonons is
presented.


title: Relative equilibria of Lagrangian systems with symmetry

abstract:
  We discuss the characterization of relative equilibria of Lagrangian systems
with symmetry.


title: Critical swelling of particle-encapsulating vesicles

abstract:
  We consider a ubiquitous scenario where a fluctuating, semipermeable vesicle
is embedded in solution while enclosing a fixed number of solute particles. The
swelling with increasing number of particles or decreasing concentration of the
outer solution exhibits a continuous phase transition from a fluctuating state
to the maximum-volume configuration, whereupon appreciable pressure difference
and surface tension build up. This criticality is unique to
particle-encapsulating vesicles, whose volume and inner pressure both
fluctuate. It implies a universal swelling behavior of such vesicles as they
approach their limiting volume and osmotic lysis.


title:
Synthesis and structural characterization of uranium-doped Ca2CuO3, a 1D
  quantum antiferromagnet

abstract:
  The technological settings of a modified sol-gel method for preparation of
highly fine homogeneous powder Ca2CuO3 doped with uranium 238 (x=0-0.05) is
presented. The analysis of structure, purity of phases and the justification
for the role of uranium in the given compounds are provided together with
almost complete classification of observed optical phonons by means of the
Raman, IR measurements and ab initio calculation. The significant reduction in
particle size was achieved by doping and the strong correlation between
resistivity and doping concentration was observed and explained using the
phonon-assisted electron hopping conduction model. The persistence of covalent
insulation state in all compounds is a key feature of this class of compounds.


title:
The Spitzer c2d Survey of Large, Nearby, Interstellar Clouds.X. The
  Chamaeleon II Pre-Main Sequence Population as Observed With IRAC and MIPS

abstract:
  We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy
survey observations and complementary optical and near infrared data of the
Chamaeleon II (Cha II) dark cloud. We perform a census of the young population
of Cha II, in a mapped area of ~1.75 square degrees, and study the spatial
distribution and properties of the cloud members and candidate pre-main
sequence (PMS) objects and their circumstellar matter. From the analysis of the
volume density of the PMS objects and candidates we find two tight groups of
objects with volume densities higher than 25 solar masses per cubic parsec and
5-10 members each. These groups correlate well in space with the regions of
high extinction. A multiplicity fraction of about 13% is observed for objects
with separations between 0.8" and 6.0". Using the results of masses and ages
from a companion paper, we estimate the star formation efficiency to be 1-4%
significantly lower than for Cha I. This might mean that different
star-formation activities in the Chamaeleon clouds reflect a different history
of star formation. We also find that the Cha II cloud is turning some 6-7 solar
masses into stars every Myr, which is low in comparison with the star formation
rate in other c2d clouds. On the other hand, the disk fraction of 70-80% that
we estimate in Cha II is much higher than in other star forming regions and
indicates that the population in this cloud is dominated by objects with active
accretion. Finally, the Cha II outflows are discussed, with particular regard
to the discovery of a new Herbig-Haro outflow, HH 939, driven by the classical
T Tauri star Sz 50.


title:
Association schemes related to universally optimal configurations,
  Kerdock codes and extremal Euclidean line-sets

abstract:
  H. Cohn et. al. proposed an association scheme of 64 points in R^{14} which
is conjectured to be a universally optimal code. We show that this scheme has a
generalization in terms of Kerdock codes, as well as in terms of maximal real
mutually unbiased bases. These schemes also related to extremal line-sets in
Euclidean spaces and Barnes-Wall lattices. D. de Caen and E. R. van Dam
constructed two infinite series of formally dual 3-class association schemes.
We explain this formal duality by constructing two dual abelian schemes related
to quaternary linear Kerdock and Preparata codes.


title: Cartan Subalgebras of Leibniz $n$-Algebras

abstract:
  The present paper is devoted to the investigation of properties of Cartan
subalgebras and regular elements in Leibniz $n$-algebras. The relationship
between Cartan subalgebras and regular elements of given Leibniz $n$-algebra
and Cartan subalgebras and regular elements of the corresponding factor $n$-Lie
algebra is established.


title: Approximating General Metric Distances Between a Pattern and a Text

abstract:
  Let $T=t_0 ... t_{n-1}$ be a text and $P = p_0 ... p_{m-1}$ a pattern taken
from some finite alphabet set $\Sigma$, and let $\dist$ be a metric on
$\Sigma$. We consider the problem of calculating the sum of distances between
the symbols of $P$ and the symbols of substrings of $T$ of length $m$ for all
possible offsets. We present an $\epsilon$-approximation algorithm for this
problem which runs in time $O(\frac{1}{\epsilon^2}n\cdot
\mathrm{polylog}(n,\abs{\Sigma}))$


title: A Double Cryptography Using The Keedwell Cross Inverse Quasigroup

abstract:
  The present study further strenghtens the use of the Keedwell CIPQ against
attack on a system. This is done as follows. The holomorphic structure of
AIPQs(AIPLs) and CIPQs(CIPLs) are investigated. Necessary and sufficient
conditions for the holomorph of a quasigroup(loop) to be an AIPQ(AIPL) or
CIPQ(CIPL) are established. It is shown that if the holomorph of a
quasigroup(loop) is a AIPQ(AIPL) or CIPQ(CIPL), then the holomorph is
isomorphic to the quasigroup(loop). Hence, the holomorph of a quasigroup(loop)
is an AIPQ(AIPL) or CIPQ(CIPL) if and only if its automorphism group is trivial
and the quasigroup(loop) is a AIPQ(AIPL) or CIPQ(CIPL). Furthermore, it is
discovered that if the holomorph of a quasigroup(loop) is a CIPQ(CIPL), then
the quasigroup(loop) is a flexible unipotent CIPQ(flexible CIPL of exponent 2).
By constructing two isotopic quasigroups(loops) $U$ and $V$ such that their
automorphism groups are not trivial, it is shown that $U$ is a AIPQ or
CIPQ(AIPL or CIPL) if and only if $V$ is a AIPQ or CIPQ(AIPL or CIPL).
Explanations and procedures are given on how these CIPQs can be used to double
encrypt information.


title: On A Cryptographic Identity In Osborn Loops

abstract:
  This study digs out some new algebraic properties of an Osborn loop that will
help in the future to unveil the mystery behind the middle inner mappings
$T_{(x)}$ of an Osborn loop. These new algebraic properties, will open our eyes
more to the study of Osborn loops like CC-loops which has received a
tremendious attention in this $21^\textrm{st}$ and VD-loops whose study is yet
to be explored. In this study, some algebraic properties of non-WIP Osborn
loops have been investigated in a broad manner. Huthnance was able to deduce
some algebraic properties of Osborn loops with the WIP i.e universal weak
WIPLs. So this work exempts the WIP. Two new loop identities, namely left self
inverse property loop(LSIPL) identity and right self inverse property
loop(RSLPL) are introduced for the first time and it is shown that in an Osborn
loop, they are equivalent. A CC-loop is shown to be power associative if and
only if it is a RSLPL or LSIPL. Among the few identities that have been
established for Osborn loops, one of them is recognized and recommended for
cryptography in a similar spirit in which the cross inverse property has been
used by Keedwell following the fact that it was observed that Osborn loops that
do not have the LSIP or RSIP or 3-PAPL or weaker forms of inverse property,
power associativity and diassociativity to mention a few, will have cycles(even
long ones). These identity is called an Osborn cryptographic identity(or just a
cryptographic identity).


title:
A New Approach to Collaborative Filtering: Operator Estimation with
  Spectral Regularization

abstract:
  We present a general approach for collaborative filtering (CF) using spectral
regularization to learn linear operators from "users" to the "objects" they
rate. Recent low-rank type matrix completion approaches to CF are shown to be
special cases. However, unlike existing regularization based CF methods, our
approach can be used to also incorporate information such as attributes of the
users or the objects -- a limitation of existing regularization based CF
methods. We then provide novel representer theorems that we use to develop new
estimation methods. We provide learning algorithms based on low-rank
decompositions, and test them on a standard CF dataset. The experiments
indicate the advantages of generalizing the existing regularization based CF
methods to incorporate related information about users and objects. Finally, we
show that certain multi-task learning methods can be also seen as special cases
of our proposed approach.


title: Heterogeneous network with distance dependent connectivity

abstract:
  We investigate a network model based on an infinite regular square lattice
embedded in the Euclidean plane where the node connection probability is given
by the geometrical distance of nodes. We show that the degree distribution in
the basic model is sharply peaked around its mean value. Since the model was
originally developed to mimic the social network of acquaintances, to broaden
the degree distribution we propose its generalization. We show that when
heterogeneity is introduced to the model, it is possible to obtain fat tails of
the degree distribution. Meanwhile, the small-world phenomenon present in the
basic model is not affected. To support our claims, both analytical and
numerical results are obtained.


title:
Representation of Material Elements and Geometry of Substructural
  Interactions

abstract:
  This paper collects some characteristic aspects of the general model-building
framework of the mechanics of complex bodies, that are bodies in which the
material substructure influences prominently the gross behavior through
interactions conjugated with substructural changes. The emphasis in on issues
that are foundational in nature: the geometrica description of the material
elements, their energetic characterization, the representation of interactions,
conditions for the existence of ground states in conservative setting.


title: Thermo-mechanical behaviour of a compacted swelling clay

abstract:
  Compacted unsaturated swelling clay is often considered as a possible buffer
material for deep nuclear waste disposal. An isotropic cell permitting
simultaneous control of suction, temperature and pressure was used to study the
thermo-mechanical behaviour of this clay. Tests were performed at total
suctions ranging from 9 to 110 MPa, temperature from 25 to 80 degrees C,
isotropic pressure from 0.1 to 60 MPa. It was observed that heating at constant
suction and pressure induces either swelling or contraction. The results from
compression tests at constant suction and temperature evidenced that at lower
suction, the yield pressure was lower, the elastic compressibility parameter
and the plastic compressibility parameter were higher. On the other hand, at a
similar suction, the yield pressure was slightly influenced by the temperature;
and the compressibility parameters were insensitive to temperature changes. The
thermal hardening phenomenon was equally evidenced by following a
thermo-mechanical path of loading-heating-cooling-reloading.


title: Testing non-unitarity of neutrino mixing matrices at neutrino factories

abstract:
  In this paper we explore the effect of non-unitary neutrino mixing on
neutrino oscillation probabilities both in vacuum and matter. In particular, we
consider the $\nu_\mu \to \nu_\tau$ channel and using a Neutrino Factory as the
source for $\nu_\mu$'s discuss the constraints that can be obtained on the
moduli and phases of the parameters characterizing the violation of unitarity.
We point out how the new CP violation phases present in the case where the
non-unitary mixings give rise to spurious ``degenerate'' solutions in the
parameter space and discuss how the true solutions can be extricated by
combining measurements at several baselines.


title: Ground states in complex bodies

abstract:
  A unified framework for analyzing the existence of ground states in wide
classes of elastic complex bodies is presented here. The approach makes use of
classical semicontinuity results, Sobolev mappinngs and Cartesian currents.
Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev
maps and Cartesian currents describe the inner substructure of the material
elements. Balance equations for irregular minimizers are derived. A
contribution to the debate about the role of the balance of configurational
actions follows. After describing a list of possible applications of the
general results collected here, a concrete discussion of the existence of
ground states in thermodynamically stable quasicrystals is presented at the
end.


title: Quantum effects for ballistic transport in spintronic devices

abstract:
  Recent fabrication of atomic precision nanodevices for spintronics greatly
boosted their performance and also revealed new interesting features, as
oscillating magnetoresistance with number of atomic layers in a multilayered
structure. This motivates the need to go beyond the usual theoretical approach
of semi-classical continuous layers. Here the simple tight-binding dynamics is
used to describe quantum conduction in a multicomponent system with
spin-polarized electrodes separated by an ultrathin and atomically coherent
non-magnetic spacer (either metallic or insulating). A possibility is indicated
for obtaining a huge resonant enhancement of magnetoresistance in such device
by a special choice of gate voltage on the spacer element.


title: Notes on the biextension of Chow groups

abstract:
  The paper discusses four approaches to the biextension of Chow groups and
their equivalences. These are the following: an explicit construction given by
S.Bloch, a construction in terms of the Poincare biextension of dual
intermediate Jacobians, a construction in terms of K-cohomology, and a
construction in terms of determinant of cohomology of coherent sheaves. A new
approach to J.Franke's Chow categories is given. An explicit formula for the
Weil pairing of algebraic cycles is obtained.


title:
Some open 3-manifolds and 3-orbifolds without locally finite canonical
  decompositions

abstract:
  We give examples of open 3-manifolds and 3-orbifolds that exhibit
pathological behavior with respect to splitting along surfaces (2-suborbifolds)
with nonnegative Euler characteristic.


title:
Comparison of hyperfine anomalies in the 5S_{1/2} and 6S_{1/2} levels of
  ^{85}Rb and ^{87}Rb

abstract:
  We observe a hyperfine anomaly in the measurement of the hyperfine splitting
of the 6S_{1/2} excited level in rubidium. We perform two step spectroscopy
using the 5S_{1/2}->5P_{1/2}->6S_{1/2} excitation sequence. We measure the
splitting of the 6S1/2 level and obtain for the magnetic dipole constants of
^{85}Rb and ^{87}Rb A = 239.18(4) MHz and A=807.66(8) MHz, respectively. The
hyperfine anomaly difference of_{87}delta_{85}=-0.0036(2) comes from the Bohr
Weisskopf effect: a correction to the point interaction between the finite
nuclear magnetization and the electrons, and agrees with that obtained in the
5S_{1/2} ground state.


title:
Determination of some generalised Euler sums involving the digamma
  function

abstract:
  This paper evaluates some generalised Euler sums involving the digamma
function.


title: Demonstration of a Quantum Controlled-NOT Gate in the Telecom Band

abstract:
  We present the first quantum controlled-NOT (CNOT) gate realized using a
fiber-based indistinguishable photon-pair source in the 1.55 $\mu$m
telecommunications band. Using this free-space CNOT gate, all four Bell states
are produced and fully characterized by performing quantum state tomography,
demonstrating the gate's unambiguous entangling capability and high fidelity.
Telecom-band operation makes this CNOT gate particularly suitable for quantum
information processing tasks that are at the interface of quantum communication
and linear optical quantum computing.


title: Is Cosmology Compatible with Blue Gravity Waves ?

abstract:
  A primordial gravitational wave background with positive(blue) spectral index
is expected in several non-standard inflationary cosmologies where the
stress-energy tensor violates the null energy condition. Here we show that a
sizable amount of blue gravitational waves is compatible with current
cosmological and astrophysical data. So far most of the works on parameter
estimation from cosmic microwave background data have assumed a negative or
negligible spectral index. The present limits on cosmological parameters,
especially on the scalar spectral index, widen up considerably when one allows
also for blue tilts of the tensor spectrum. Since the amplitude of the CMB
B-mode polarization is larger in these models, future data from Planck are
likely to provide crucial measurements.


title: The CERES/NA45 Radial Drift Time Projection Chamber

abstract:
  The design, calibration, and performance of the first radial drift Time
Projection Chamber (TPC) are presented. The TPC was built and installed at the
CERES/NA45 experiment at the CERN SPS in the late nineties, with the objective
to improve the momentum resolution of the spectrometer. The upgraded experiment
took data twice, in 1999 and in 2000. After a detailed study of residual
distortions a spatial resolution of 340 um in the azimuthal and 640 um in the
radial direction was achieved, corresponding to a momentum resolution of Dp/p =
sqrt{(1% * p/GeV)^2 + (2%)^2}.


title:
Fast outflows in compact radio sources: evidence for AGN-induced
  feedback in the early stages of radio source evolution

abstract:
  We present intermediate resolution, wide wavelength coverage spectra for a
complete sample of 14 compact radio sources taken with the aim of investigating
the impact of the nuclear activity on the circumnuclear (ISM) in the early
stages of radio source evolution. We observe spatially extended line emission
(up to 20 kpc) in the majority of sources which is consistent with a quiescent
halo. In the nuclear apertures we observe broad, highly complex emission line
profiles. Multiple Gaussian modelling of the [O III]5007 line reveals 2-4
components which can have FWHM and blueshifts relative to the halo of up to
2000 km/s. We interpret these broad, blueshifted components as material in
outflow and discuss the kinematical evidence for jet-driven outflows.
Comparisons with samples in the literature show that compact radio sources
harbour more extreme nuclear kinematics than their extended counterparts, a
trend seen within our sample with larger velocities in the smaller sources. The
observed velocities are also likely to be influenced by source orientation with
respect to the observer's line of sight. Nine sources have associated HI
absorption. In common with the optical emission line gas, the HI profiles are
often highly complex with the majority of the detected components significantly
blueshifted, tracing outflows in the neutral gas. The sample has been tested
for stratification in the ISM (FWHM/ionisation potential/critical density) as
suggested by Holt et al. (2003) for PKS1345+12 but we find no significant
trends within the sample using a Spearman Rank analysis. This study supports
the idea that compact radio sources are young radio loud AGN observed during
the early stages of their evolution and currently shedding their natal cocoons
through extreme circumnuclear outflows.